0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.057 * * * [progress]: [2/2] Setting up program. 0.060 * [progress]: [Phase 2 of 3] Improving. 0.060 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.060 * [simplify]: Simplifying (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 x)))))) 0.060 * * [simplify]: iters left: 6 (9 enodes) 0.076 * * [simplify]: iters left: 5 (39 enodes) 0.083 * * [simplify]: iters left: 4 (49 enodes) 0.096 * * [simplify]: iters left: 3 (51 enodes) 0.109 * * [simplify]: Extracting #0: cost 1 inf + 0 0.109 * * [simplify]: Extracting #1: cost 5 inf + 0 0.109 * * [simplify]: Extracting #2: cost 7 inf + 1 0.109 * * [simplify]: Extracting #3: cost 12 inf + 1 0.110 * * [simplify]: Extracting #4: cost 15 inf + 2 0.110 * * [simplify]: Extracting #5: cost 17 inf + 2 0.110 * * [simplify]: Extracting #6: cost 15 inf + 60 0.110 * * [simplify]: Extracting #7: cost 6 inf + 1143 0.111 * * [simplify]: Extracting #8: cost 0 inf + 2360 0.112 * * [simplify]: Extracting #9: cost 0 inf + 2285 0.113 * [simplify]: Simplified to (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 0.113 * [simplify]: Simplified (2) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 0.123 * * [progress]: iteration 1 / 4 0.124 * * * [progress]: picking best candidate 0.128 * * * * [pick]: Picked # 0.128 * * * [progress]: localizing error 0.142 * * * [progress]: generating rewritten candidates 0.142 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.189 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.194 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.203 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.214 * * * [progress]: generating series expansions 0.214 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.214 * [backup-simplify]: Simplify (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.214 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 0.214 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.214 * [taylor]: Taking taylor expansion of 1 in x 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.214 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.214 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.214 * [taylor]: Taking taylor expansion of 1/2 in x 0.214 * [backup-simplify]: Simplify 1/2 into 1/2 0.214 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.214 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.214 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.214 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.214 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.214 * [taylor]: Taking taylor expansion of 1 in x 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [taylor]: Taking taylor expansion of 1 in x 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [taylor]: Taking taylor expansion of (* x x) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (* 1 1) into 1 0.215 * [backup-simplify]: Simplify (* 0 0) into 0 0.216 * [backup-simplify]: Simplify (+ 1 0) into 1 0.216 * [backup-simplify]: Simplify (sqrt 1) into 1 0.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.217 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.218 * [backup-simplify]: Simplify (/ 1 1) into 1 0.218 * [taylor]: Taking taylor expansion of 1/2 in x 0.218 * [backup-simplify]: Simplify 1/2 into 1/2 0.218 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.218 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.219 * [backup-simplify]: Simplify (sqrt 1) into 1 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.220 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.220 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.220 * [taylor]: Taking taylor expansion of 1 in x 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.220 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.220 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.220 * [taylor]: Taking taylor expansion of 1/2 in x 0.220 * [backup-simplify]: Simplify 1/2 into 1/2 0.220 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.220 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.220 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.220 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.220 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.220 * [taylor]: Taking taylor expansion of 1 in x 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [taylor]: Taking taylor expansion of 1 in x 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [taylor]: Taking taylor expansion of (* x x) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (* 1 1) into 1 0.221 * [backup-simplify]: Simplify (* 0 0) into 0 0.221 * [backup-simplify]: Simplify (+ 1 0) into 1 0.221 * [backup-simplify]: Simplify (sqrt 1) into 1 0.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.222 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.222 * [backup-simplify]: Simplify (+ 0 0) into 0 0.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.223 * [backup-simplify]: Simplify (/ 1 1) into 1 0.223 * [taylor]: Taking taylor expansion of 1/2 in x 0.223 * [backup-simplify]: Simplify 1/2 into 1/2 0.223 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.224 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.224 * [backup-simplify]: Simplify (sqrt 1) into 1 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.227 * [backup-simplify]: Simplify (- 1) into -1 0.227 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.229 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.230 * [backup-simplify]: Simplify (+ 0 1) into 1 0.231 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.233 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.234 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.234 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.235 * [backup-simplify]: Simplify (- -1/8) into 1/8 0.235 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 0.235 * [backup-simplify]: Simplify 1/8 into 1/8 0.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (+ 0 0) into 0 0.243 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.243 * [backup-simplify]: Simplify (- 0) into 0 0.244 * [backup-simplify]: Simplify (+ 0 0) into 0 0.244 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.246 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.250 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.251 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.252 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.252 * [backup-simplify]: Simplify (- 11/128) into -11/128 0.253 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 0.253 * [backup-simplify]: Simplify -11/128 into -11/128 0.254 * [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 0.255 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 11/128)) (* 2 (* -1/8 0)))) (* 2 1)) into 0 0.267 * [backup-simplify]: Simplify (- 0) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.270 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 0.275 * [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 0.277 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 0.277 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 0.279 * [backup-simplify]: Simplify (/ (- -5/32 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/8 11/128)))) (* 2 1)) into -69/1024 0.280 * [backup-simplify]: Simplify (- -69/1024) into 69/1024 0.280 * [backup-simplify]: Simplify (+ 0 69/1024) into 69/1024 0.280 * [backup-simplify]: Simplify 69/1024 into 69/1024 0.280 * [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))) 0.281 * [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))) 0.281 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0 0.281 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.281 * [taylor]: Taking taylor expansion of 1 in x 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.281 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.281 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.281 * [taylor]: Taking taylor expansion of 1/2 in x 0.281 * [backup-simplify]: Simplify 1/2 into 1/2 0.281 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.281 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.281 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.281 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.281 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.281 * [taylor]: Taking taylor expansion of 1 in x 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [taylor]: Taking taylor expansion of 1 in x 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (/ 1 1) into 1 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (/ 1 1) into 1 0.282 * [backup-simplify]: Simplify (* 1 1) into 1 0.283 * [backup-simplify]: Simplify (+ 0 1) into 1 0.283 * [backup-simplify]: Simplify (sqrt 1) into 1 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.286 * [backup-simplify]: Simplify (/ 1 1) into 1 0.286 * [taylor]: Taking taylor expansion of 1/2 in x 0.286 * [backup-simplify]: Simplify 1/2 into 1/2 0.287 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.287 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.287 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.288 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.289 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.289 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.289 * [taylor]: Taking taylor expansion of 1 in x 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.289 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.289 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.289 * [taylor]: Taking taylor expansion of 1/2 in x 0.289 * [backup-simplify]: Simplify 1/2 into 1/2 0.289 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.289 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.289 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.289 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.289 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.289 * [taylor]: Taking taylor expansion of 1 in x 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [taylor]: Taking taylor expansion of 1 in x 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.291 * [backup-simplify]: Simplify (* 1 1) into 1 0.291 * [backup-simplify]: Simplify (+ 0 1) into 1 0.291 * [backup-simplify]: Simplify (sqrt 1) into 1 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.295 * [backup-simplify]: Simplify (/ 1 1) into 1 0.295 * [taylor]: Taking taylor expansion of 1/2 in x 0.295 * [backup-simplify]: Simplify 1/2 into 1/2 0.296 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.296 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.296 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.297 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.298 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.299 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.300 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.301 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.302 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.305 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.307 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.316 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.319 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.321 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.324 * [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))) 0.324 * [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))) 0.324 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 0.324 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.324 * [taylor]: Taking taylor expansion of 1 in x 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.324 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.324 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.324 * [taylor]: Taking taylor expansion of 1/2 in x 0.324 * [backup-simplify]: Simplify 1/2 into 1/2 0.324 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.324 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.324 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.324 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.324 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.324 * [taylor]: Taking taylor expansion of 1 in x 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [taylor]: Taking taylor expansion of 1 in x 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.324 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.324 * [taylor]: Taking taylor expansion of -1 in x 0.324 * [backup-simplify]: Simplify -1 into -1 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (/ -1 1) into -1 0.325 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.325 * [taylor]: Taking taylor expansion of -1 in x 0.325 * [backup-simplify]: Simplify -1 into -1 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (/ -1 1) into -1 0.325 * [backup-simplify]: Simplify (* -1 -1) into 1 0.326 * [backup-simplify]: Simplify (+ 0 1) into 1 0.326 * [backup-simplify]: Simplify (sqrt 1) into 1 0.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.328 * [backup-simplify]: Simplify (/ 1 1) into 1 0.328 * [taylor]: Taking taylor expansion of 1/2 in x 0.328 * [backup-simplify]: Simplify 1/2 into 1/2 0.328 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.329 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.329 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.329 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.330 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.330 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.330 * [taylor]: Taking taylor expansion of 1 in x 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.330 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.330 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.330 * [taylor]: Taking taylor expansion of 1/2 in x 0.330 * [backup-simplify]: Simplify 1/2 into 1/2 0.330 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.330 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.330 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.330 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.330 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.330 * [taylor]: Taking taylor expansion of 1 in x 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [taylor]: Taking taylor expansion of 1 in x 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.331 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.331 * [taylor]: Taking taylor expansion of -1 in x 0.331 * [backup-simplify]: Simplify -1 into -1 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (/ -1 1) into -1 0.331 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.331 * [taylor]: Taking taylor expansion of -1 in x 0.331 * [backup-simplify]: Simplify -1 into -1 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (/ -1 1) into -1 0.332 * [backup-simplify]: Simplify (* -1 -1) into 1 0.332 * [backup-simplify]: Simplify (+ 0 1) into 1 0.332 * [backup-simplify]: Simplify (sqrt 1) into 1 0.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.335 * [backup-simplify]: Simplify (/ 1 1) into 1 0.335 * [taylor]: Taking taylor expansion of 1/2 in x 0.335 * [backup-simplify]: Simplify 1/2 into 1/2 0.335 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.336 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.336 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.336 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.337 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.338 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.338 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.339 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.340 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.342 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.343 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.345 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.349 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.352 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.353 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.356 * [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)) 0.356 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.357 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 0.357 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 0.357 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.357 * [taylor]: Taking taylor expansion of 1/2 in x 0.357 * [backup-simplify]: Simplify 1/2 into 1/2 0.357 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.357 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.357 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.357 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.357 * [taylor]: Taking taylor expansion of 1 in x 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [taylor]: Taking taylor expansion of 1 in x 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [taylor]: Taking taylor expansion of (* x x) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (* 1 1) into 1 0.357 * [backup-simplify]: Simplify (* 0 0) into 0 0.358 * [backup-simplify]: Simplify (+ 1 0) into 1 0.358 * [backup-simplify]: Simplify (sqrt 1) into 1 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.359 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.359 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.360 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.360 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.360 * [taylor]: Taking taylor expansion of 1/2 in x 0.360 * [backup-simplify]: Simplify 1/2 into 1/2 0.360 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.360 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.360 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.360 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.360 * [taylor]: Taking taylor expansion of 1 in x 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [taylor]: Taking taylor expansion of 1 in x 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [taylor]: Taking taylor expansion of (* x 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 * [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 0.360 * [backup-simplify]: Simplify (* 0 0) into 0 0.361 * [backup-simplify]: Simplify (+ 1 0) into 1 0.361 * [backup-simplify]: Simplify (sqrt 1) into 1 0.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.362 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.363 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.363 * [backup-simplify]: Simplify 1/2 into 1/2 0.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.365 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.365 * [backup-simplify]: Simplify (+ 0 1) into 1 0.366 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.368 * [backup-simplify]: Simplify -1/4 into -1/4 0.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.370 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.379 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.381 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.382 * [backup-simplify]: Simplify 3/16 into 3/16 0.383 * [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))) 0.383 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.383 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 0.383 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.383 * [taylor]: Taking taylor expansion of 1/2 in x 0.383 * [backup-simplify]: Simplify 1/2 into 1/2 0.383 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.383 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.383 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.383 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.383 * [taylor]: Taking taylor expansion of 1 in x 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [taylor]: Taking taylor expansion of 1 in x 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (/ 1 1) into 1 0.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (/ 1 1) into 1 0.385 * [backup-simplify]: Simplify (* 1 1) into 1 0.385 * [backup-simplify]: Simplify (+ 0 1) into 1 0.386 * [backup-simplify]: Simplify (sqrt 1) into 1 0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.388 * [backup-simplify]: Simplify (+ 0 0) into 0 0.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.390 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.390 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.390 * [taylor]: Taking taylor expansion of 1/2 in x 0.390 * [backup-simplify]: Simplify 1/2 into 1/2 0.390 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.390 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.390 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.390 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.390 * [taylor]: Taking taylor expansion of 1 in x 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [taylor]: Taking taylor expansion of 1 in x 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify (/ 1 1) into 1 0.391 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify (/ 1 1) into 1 0.391 * [backup-simplify]: Simplify (* 1 1) into 1 0.392 * [backup-simplify]: Simplify (+ 0 1) into 1 0.392 * [backup-simplify]: Simplify (sqrt 1) into 1 0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.396 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.396 * [backup-simplify]: Simplify 1/2 into 1/2 0.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify (* 1 1) into 1 0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.401 * [backup-simplify]: Simplify (+ 1 0) into 1 0.401 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.403 * [backup-simplify]: Simplify -1/4 into -1/4 0.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.408 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.413 * [backup-simplify]: Simplify (+ 0 0) into 0 0.414 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.415 * [backup-simplify]: Simplify 3/16 into 3/16 0.416 * [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)))) 0.416 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.416 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 0.416 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.416 * [taylor]: Taking taylor expansion of 1/2 in x 0.416 * [backup-simplify]: Simplify 1/2 into 1/2 0.416 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.416 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.416 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.416 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.416 * [taylor]: Taking taylor expansion of 1 in x 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [taylor]: Taking taylor expansion of 1 in x 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.416 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.416 * [taylor]: Taking taylor expansion of -1 in x 0.416 * [backup-simplify]: Simplify -1 into -1 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (/ -1 1) into -1 0.417 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.417 * [taylor]: Taking taylor expansion of -1 in x 0.417 * [backup-simplify]: Simplify -1 into -1 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (/ -1 1) into -1 0.418 * [backup-simplify]: Simplify (* -1 -1) into 1 0.418 * [backup-simplify]: Simplify (+ 0 1) into 1 0.419 * [backup-simplify]: Simplify (sqrt 1) into 1 0.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.421 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.421 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.421 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.421 * [taylor]: Taking taylor expansion of 1/2 in x 0.421 * [backup-simplify]: Simplify 1/2 into 1/2 0.421 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.421 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.421 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.421 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.421 * [taylor]: Taking taylor expansion of 1 in x 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [taylor]: Taking taylor expansion of 1 in x 0.421 * [backup-simplify]: Simplify 1 into 1 0.422 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.422 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.422 * [taylor]: Taking taylor expansion of -1 in x 0.422 * [backup-simplify]: Simplify -1 into -1 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (/ -1 1) into -1 0.422 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.422 * [taylor]: Taking taylor expansion of -1 in x 0.422 * [backup-simplify]: Simplify -1 into -1 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (/ -1 1) into -1 0.423 * [backup-simplify]: Simplify (* -1 -1) into 1 0.423 * [backup-simplify]: Simplify (+ 0 1) into 1 0.423 * [backup-simplify]: Simplify (sqrt 1) into 1 0.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.426 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.426 * [backup-simplify]: Simplify 1/2 into 1/2 0.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (* 1 1) into 1 0.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.429 * [backup-simplify]: Simplify (+ 1 0) into 1 0.429 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.430 * [backup-simplify]: Simplify -1/4 into -1/4 0.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.432 * [backup-simplify]: Simplify (+ 0 0) into 0 0.433 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.437 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.438 * [backup-simplify]: Simplify 3/16 into 3/16 0.439 * [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)))) 0.439 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.439 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.439 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in (x) around 0 0.439 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.439 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.439 * [taylor]: Taking taylor expansion of 1/2 in x 0.439 * [backup-simplify]: Simplify 1/2 into 1/2 0.439 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.439 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.439 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.439 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.439 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.439 * [taylor]: Taking taylor expansion of 1 in x 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [taylor]: Taking taylor expansion of 1 in x 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [taylor]: Taking taylor expansion of (* x x) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (* 1 1) into 1 0.440 * [backup-simplify]: Simplify (* 0 0) into 0 0.440 * [backup-simplify]: Simplify (+ 1 0) into 1 0.440 * [backup-simplify]: Simplify (sqrt 1) into 1 0.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.441 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.441 * [backup-simplify]: Simplify (+ 0 0) into 0 0.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.442 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [taylor]: Taking taylor expansion of 1/2 in x 0.442 * [backup-simplify]: Simplify 1/2 into 1/2 0.442 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.442 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.442 * [taylor]: Taking taylor expansion of 1/2 in x 0.442 * [backup-simplify]: Simplify 1/2 into 1/2 0.442 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.442 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.442 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.442 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.442 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.442 * [taylor]: Taking taylor expansion of 1 in x 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [taylor]: Taking taylor expansion of 1 in x 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [taylor]: Taking taylor expansion of (* x x) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (* 1 1) into 1 0.443 * [backup-simplify]: Simplify (* 0 0) into 0 0.443 * [backup-simplify]: Simplify (+ 1 0) into 1 0.443 * [backup-simplify]: Simplify (sqrt 1) into 1 0.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.444 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.444 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [taylor]: Taking taylor expansion of 1/2 in x 0.445 * [backup-simplify]: Simplify 1/2 into 1/2 0.445 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.445 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.445 * [backup-simplify]: Simplify 1 into 1 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.447 * [backup-simplify]: Simplify (+ 0 0) into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.448 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.448 * [backup-simplify]: Simplify (+ 0 1) into 1 0.448 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.450 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.450 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.450 * [backup-simplify]: Simplify -1/4 into -1/4 0.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.451 * [backup-simplify]: Simplify (+ 0 0) into 0 0.453 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (+ 0 0) into 0 0.456 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.459 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.460 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.464 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.465 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.465 * [backup-simplify]: Simplify 3/16 into 3/16 0.465 * [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))) 0.465 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0.466 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in (x) around 0 0.466 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.466 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.466 * [taylor]: Taking taylor expansion of 1/2 in x 0.466 * [backup-simplify]: Simplify 1/2 into 1/2 0.466 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.466 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.466 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.466 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.466 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.466 * [taylor]: Taking taylor expansion of 1 in x 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [taylor]: Taking taylor expansion of 1 in x 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify (/ 1 1) into 1 0.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify (/ 1 1) into 1 0.467 * [backup-simplify]: Simplify (* 1 1) into 1 0.468 * [backup-simplify]: Simplify (+ 0 1) into 1 0.468 * [backup-simplify]: Simplify (sqrt 1) into 1 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.472 * [backup-simplify]: Simplify (/ 1 1) into 1 0.472 * [taylor]: Taking taylor expansion of 1/2 in x 0.472 * [backup-simplify]: Simplify 1/2 into 1/2 0.472 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.472 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.472 * [taylor]: Taking taylor expansion of 1/2 in x 0.472 * [backup-simplify]: Simplify 1/2 into 1/2 0.472 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.472 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.472 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.472 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.472 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.472 * [taylor]: Taking taylor expansion of 1 in x 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [taylor]: Taking taylor expansion of 1 in x 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (/ 1 1) into 1 0.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.474 * [backup-simplify]: Simplify (/ 1 1) into 1 0.474 * [backup-simplify]: Simplify (* 1 1) into 1 0.475 * [backup-simplify]: Simplify (+ 0 1) into 1 0.475 * [backup-simplify]: Simplify (sqrt 1) into 1 0.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.478 * [backup-simplify]: Simplify (+ 0 0) into 0 0.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.479 * [backup-simplify]: Simplify (/ 1 1) into 1 0.479 * [taylor]: Taking taylor expansion of 1/2 in x 0.479 * [backup-simplify]: Simplify 1/2 into 1/2 0.479 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.479 * [backup-simplify]: Simplify 1/2 into 1/2 0.480 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.480 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.480 * [backup-simplify]: Simplify 1/2 into 1/2 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.482 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.482 * [backup-simplify]: Simplify (+ 0 0) into 0 0.482 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify (* 1 1) into 1 0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.485 * [backup-simplify]: Simplify (+ 1 0) into 1 0.485 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.487 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.487 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.487 * [backup-simplify]: Simplify -1/4 into -1/4 0.487 * [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)))) 0.487 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0.487 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in (x) around 0 0.487 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.487 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.487 * [taylor]: Taking taylor expansion of 1/2 in x 0.487 * [backup-simplify]: Simplify 1/2 into 1/2 0.487 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.487 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.487 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.487 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.487 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.487 * [taylor]: Taking taylor expansion of 1 in x 0.488 * [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 (* (/ -1 x) (/ -1 x)) in x 0.488 * [taylor]: Taking taylor expansion of (/ -1 x) 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 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 0.488 * [taylor]: Taking taylor expansion of (/ -1 x) 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 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 (* -1 -1) into 1 0.489 * [backup-simplify]: Simplify (+ 0 1) into 1 0.489 * [backup-simplify]: Simplify (sqrt 1) into 1 0.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.491 * [backup-simplify]: Simplify (+ 0 0) into 0 0.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.491 * [backup-simplify]: Simplify (/ 1 1) into 1 0.491 * [taylor]: Taking taylor expansion of 1/2 in x 0.491 * [backup-simplify]: Simplify 1/2 into 1/2 0.491 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.491 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.491 * [taylor]: Taking taylor expansion of 1/2 in x 0.491 * [backup-simplify]: Simplify 1/2 into 1/2 0.491 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.492 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.492 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.492 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.492 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.492 * [taylor]: Taking taylor expansion of 1 in x 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [taylor]: Taking taylor expansion of 1 in x 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.492 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.492 * [taylor]: Taking taylor expansion of -1 in x 0.492 * [backup-simplify]: Simplify -1 into -1 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.494 * [backup-simplify]: Simplify (/ -1 1) into -1 0.494 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.494 * [taylor]: Taking taylor expansion of -1 in x 0.494 * [backup-simplify]: Simplify -1 into -1 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.495 * [backup-simplify]: Simplify (/ -1 1) into -1 0.495 * [backup-simplify]: Simplify (* -1 -1) into 1 0.495 * [backup-simplify]: Simplify (+ 0 1) into 1 0.496 * [backup-simplify]: Simplify (sqrt 1) into 1 0.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.499 * [backup-simplify]: Simplify (/ 1 1) into 1 0.499 * [taylor]: Taking taylor expansion of 1/2 in x 0.499 * [backup-simplify]: Simplify 1/2 into 1/2 0.500 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.500 * [backup-simplify]: Simplify 1/2 into 1/2 0.500 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.501 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.501 * [backup-simplify]: Simplify 1/2 into 1/2 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.502 * [backup-simplify]: Simplify (+ 0 0) into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (* 1 1) into 1 0.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.506 * [backup-simplify]: Simplify (+ 1 0) into 1 0.507 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.509 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.509 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.509 * [backup-simplify]: Simplify -1/4 into -1/4 0.510 * [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))) 0.510 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.510 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 0.510 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 0.510 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.510 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.510 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.510 * [taylor]: Taking taylor expansion of 1/2 in x 0.510 * [backup-simplify]: Simplify 1/2 into 1/2 0.510 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.510 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.510 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.510 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.510 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.510 * [taylor]: Taking taylor expansion of 1 in x 0.510 * [backup-simplify]: Simplify 1 into 1 0.510 * [taylor]: Taking taylor expansion of 1 in x 0.510 * [backup-simplify]: Simplify 1 into 1 0.510 * [taylor]: Taking taylor expansion of (* x x) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 1 into 1 0.510 * [taylor]: Taking taylor expansion of x in x 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 1 into 1 0.511 * [backup-simplify]: Simplify (* 1 1) into 1 0.511 * [backup-simplify]: Simplify (* 0 0) into 0 0.511 * [backup-simplify]: Simplify (+ 1 0) into 1 0.512 * [backup-simplify]: Simplify (sqrt 1) into 1 0.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.513 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.513 * [backup-simplify]: Simplify (+ 0 0) into 0 0.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.514 * [backup-simplify]: Simplify (/ 1 1) into 1 0.514 * [taylor]: Taking taylor expansion of 1/2 in x 0.514 * [backup-simplify]: Simplify 1/2 into 1/2 0.515 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.515 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.515 * [backup-simplify]: Simplify (sqrt 1) into 1 0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.517 * [backup-simplify]: Simplify (+ 0 0) into 0 0.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.518 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.518 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.518 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.518 * [taylor]: Taking taylor expansion of 1/2 in x 0.518 * [backup-simplify]: Simplify 1/2 into 1/2 0.518 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.518 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.518 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.518 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.518 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.518 * [taylor]: Taking taylor expansion of 1 in x 0.518 * [backup-simplify]: Simplify 1 into 1 0.518 * [taylor]: Taking taylor expansion of 1 in x 0.518 * [backup-simplify]: Simplify 1 into 1 0.518 * [taylor]: Taking taylor expansion of (* x x) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify 1 into 1 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify 1 into 1 0.519 * [backup-simplify]: Simplify (* 1 1) into 1 0.519 * [backup-simplify]: Simplify (* 0 0) into 0 0.520 * [backup-simplify]: Simplify (+ 1 0) into 1 0.520 * [backup-simplify]: Simplify (sqrt 1) into 1 0.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.521 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.521 * [backup-simplify]: Simplify (+ 0 0) into 0 0.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.522 * [backup-simplify]: Simplify (/ 1 1) into 1 0.522 * [taylor]: Taking taylor expansion of 1/2 in x 0.522 * [backup-simplify]: Simplify 1/2 into 1/2 0.523 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.523 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.524 * [backup-simplify]: Simplify (sqrt 1) into 1 0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.525 * [backup-simplify]: Simplify (+ 0 0) into 0 0.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.526 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.527 * [backup-simplify]: Simplify (+ 0 1) into 1 0.527 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.528 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.529 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.529 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.529 * [backup-simplify]: Simplify -1/8 into -1/8 0.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.531 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.531 * [backup-simplify]: Simplify (+ 0 0) into 0 0.531 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (+ 0 0) into 0 0.534 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.535 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.536 * [backup-simplify]: Simplify (+ 0 0) into 0 0.536 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.538 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.539 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.539 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.539 * [backup-simplify]: Simplify 11/128 into 11/128 0.540 * [backup-simplify]: Simplify (+ (* 11/128 (pow x 4)) (+ (* -1/8 (pow x 2)) 1)) into (- (+ (* 11/128 (pow x 4)) 1) (* 1/8 (pow x 2))) 0.540 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 0.540 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 0.540 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.540 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.540 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.540 * [taylor]: Taking taylor expansion of 1/2 in x 0.540 * [backup-simplify]: Simplify 1/2 into 1/2 0.540 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.540 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.540 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.540 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.540 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.540 * [taylor]: Taking taylor expansion of 1 in x 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [taylor]: Taking taylor expansion of 1 in x 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [backup-simplify]: Simplify (/ 1 1) into 1 0.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.541 * [backup-simplify]: Simplify (/ 1 1) into 1 0.541 * [backup-simplify]: Simplify (* 1 1) into 1 0.541 * [backup-simplify]: Simplify (+ 0 1) into 1 0.541 * [backup-simplify]: Simplify (sqrt 1) into 1 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.543 * [backup-simplify]: Simplify (+ 0 0) into 0 0.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.544 * [backup-simplify]: Simplify (/ 1 1) into 1 0.544 * [taylor]: Taking taylor expansion of 1/2 in x 0.544 * [backup-simplify]: Simplify 1/2 into 1/2 0.544 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.544 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.544 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.545 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.546 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.546 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.546 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.546 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.546 * [taylor]: Taking taylor expansion of 1/2 in x 0.546 * [backup-simplify]: Simplify 1/2 into 1/2 0.546 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.546 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.546 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.546 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.546 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.546 * [taylor]: Taking taylor expansion of 1 in x 0.546 * [backup-simplify]: Simplify 1 into 1 0.546 * [taylor]: Taking taylor expansion of 1 in x 0.546 * [backup-simplify]: Simplify 1 into 1 0.546 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 1 into 1 0.546 * [backup-simplify]: Simplify (/ 1 1) into 1 0.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 1 into 1 0.547 * [backup-simplify]: Simplify (/ 1 1) into 1 0.547 * [backup-simplify]: Simplify (* 1 1) into 1 0.547 * [backup-simplify]: Simplify (+ 0 1) into 1 0.548 * [backup-simplify]: Simplify (sqrt 1) into 1 0.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.549 * [backup-simplify]: Simplify (+ 0 0) into 0 0.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.550 * [backup-simplify]: Simplify (/ 1 1) into 1 0.550 * [taylor]: Taking taylor expansion of 1/2 in x 0.550 * [backup-simplify]: Simplify 1/2 into 1/2 0.550 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.550 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.550 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.551 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.552 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.552 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.552 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.554 * [backup-simplify]: Simplify (+ 0 0) into 0 0.557 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.557 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.559 * [backup-simplify]: Simplify (+ (* (/ -1/32 (pow (sqrt 1/2) 3)) (pow (/ 1 x) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 x)) (sqrt 1/2))) into (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) 0.559 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 0.559 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 0.559 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.560 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.560 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.560 * [taylor]: Taking taylor expansion of 1/2 in x 0.560 * [backup-simplify]: Simplify 1/2 into 1/2 0.560 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.560 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.560 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.560 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.560 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.560 * [taylor]: Taking taylor expansion of 1 in x 0.560 * [backup-simplify]: Simplify 1 into 1 0.560 * [taylor]: Taking taylor expansion of 1 in x 0.560 * [backup-simplify]: Simplify 1 into 1 0.560 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.560 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.560 * [taylor]: Taking taylor expansion of -1 in x 0.560 * [backup-simplify]: Simplify -1 into -1 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify 1 into 1 0.560 * [backup-simplify]: Simplify (/ -1 1) into -1 0.560 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.560 * [taylor]: Taking taylor expansion of -1 in x 0.560 * [backup-simplify]: Simplify -1 into -1 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify 1 into 1 0.560 * [backup-simplify]: Simplify (/ -1 1) into -1 0.561 * [backup-simplify]: Simplify (* -1 -1) into 1 0.561 * [backup-simplify]: Simplify (+ 0 1) into 1 0.561 * [backup-simplify]: Simplify (sqrt 1) into 1 0.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.563 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.563 * [backup-simplify]: Simplify (+ 0 0) into 0 0.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.563 * [backup-simplify]: Simplify (/ 1 1) into 1 0.563 * [taylor]: Taking taylor expansion of 1/2 in x 0.563 * [backup-simplify]: Simplify 1/2 into 1/2 0.564 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.564 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.564 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.564 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.565 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.565 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.565 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.565 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.565 * [taylor]: Taking taylor expansion of 1/2 in x 0.565 * [backup-simplify]: Simplify 1/2 into 1/2 0.565 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.565 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.566 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.566 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.566 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.566 * [taylor]: Taking taylor expansion of 1 in x 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [taylor]: Taking taylor expansion of 1 in x 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.566 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.566 * [taylor]: Taking taylor expansion of -1 in x 0.566 * [backup-simplify]: Simplify -1 into -1 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [backup-simplify]: Simplify (/ -1 1) into -1 0.566 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.566 * [taylor]: Taking taylor expansion of -1 in x 0.566 * [backup-simplify]: Simplify -1 into -1 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [backup-simplify]: Simplify (/ -1 1) into -1 0.567 * [backup-simplify]: Simplify (* -1 -1) into 1 0.567 * [backup-simplify]: Simplify (+ 0 1) into 1 0.567 * [backup-simplify]: Simplify (sqrt 1) into 1 0.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.568 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.569 * [backup-simplify]: Simplify (+ 0 0) into 0 0.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.569 * [backup-simplify]: Simplify (/ 1 1) into 1 0.569 * [taylor]: Taking taylor expansion of 1/2 in x 0.569 * [backup-simplify]: Simplify 1/2 into 1/2 0.570 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.570 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.570 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.570 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.571 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.572 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.572 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.573 * [backup-simplify]: Simplify (+ 0 0) into 0 0.576 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.577 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.579 * [backup-simplify]: Simplify (+ (* (/ -1/32 (pow (sqrt 1/2) 3)) (pow (/ 1 (- x)) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 (- x))) (sqrt 1/2))) into (- (sqrt 1/2) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 0.579 * * * [progress]: simplifying candidates 0.579 * * * * [progress]: [ 1 / 137 ] simplifiying candidate # 0.580 * [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))))))) 0.580 * * [simplify]: iters left: 6 (14 enodes) 0.587 * * [simplify]: iters left: 5 (54 enodes) 0.606 * * [simplify]: iters left: 4 (75 enodes) 0.626 * * [simplify]: iters left: 3 (92 enodes) 0.652 * * [simplify]: iters left: 2 (135 enodes) 0.693 * * [simplify]: iters left: 1 (212 enodes) 0.747 * * [simplify]: Extracting #0: cost 1 inf + 0 0.747 * * [simplify]: Extracting #1: cost 11 inf + 0 0.748 * * [simplify]: Extracting #2: cost 45 inf + 1 0.748 * * [simplify]: Extracting #3: cost 79 inf + 4 0.748 * * [simplify]: Extracting #4: cost 78 inf + 8 0.749 * * [simplify]: Extracting #5: cost 79 inf + 9 0.749 * * [simplify]: Extracting #6: cost 73 inf + 498 0.750 * * [simplify]: Extracting #7: cost 66 inf + 1864 0.752 * * [simplify]: Extracting #8: cost 35 inf + 18127 0.757 * * [simplify]: Extracting #9: cost 0 inf + 46699 0.763 * * [simplify]: Extracting #10: cost 0 inf + 46579 0.769 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 0.769 * [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)))))))) 0.769 * [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)))))) 0.769 * * [simplify]: iters left: 6 (12 enodes) 0.772 * * [simplify]: iters left: 5 (44 enodes) 0.781 * * [simplify]: iters left: 4 (62 enodes) 0.795 * * [simplify]: iters left: 3 (103 enodes) 0.835 * * [simplify]: iters left: 2 (151 enodes) 0.863 * * [simplify]: iters left: 1 (222 enodes) 0.908 * * [simplify]: Extracting #0: cost 1 inf + 0 0.908 * * [simplify]: Extracting #1: cost 0 inf + 1 0.908 * [simplify]: Simplified to 0 0.908 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 0)) 0.909 * * * * [progress]: [ 2 / 137 ] simplifiying candidate # 0.909 * [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))))))) 0.909 * * [simplify]: iters left: 6 (15 enodes) 0.917 * * [simplify]: iters left: 5 (56 enodes) 0.930 * * [simplify]: iters left: 4 (68 enodes) 0.939 * * [simplify]: iters left: 3 (69 enodes) 0.948 * * [simplify]: iters left: 2 (73 enodes) 0.961 * * [simplify]: Extracting #0: cost 1 inf + 0 0.961 * * [simplify]: Extracting #1: cost 9 inf + 0 0.962 * * [simplify]: Extracting #2: cost 16 inf + 1 0.962 * * [simplify]: Extracting #3: cost 19 inf + 1 0.962 * * [simplify]: Extracting #4: cost 22 inf + 1 0.962 * * [simplify]: Extracting #5: cost 23 inf + 2 0.962 * * [simplify]: Extracting #6: cost 25 inf + 2 0.962 * * [simplify]: Extracting #7: cost 23 inf + 60 0.962 * * [simplify]: Extracting #8: cost 17 inf + 927 0.963 * * [simplify]: Extracting #9: cost 7 inf + 3627 0.965 * * [simplify]: Extracting #10: cost 1 inf + 5575 0.967 * * [simplify]: Extracting #11: cost 0 inf + 5953 0.969 * [simplify]: Simplified to (- 1 (* (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0.969 * [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)))))))) 0.969 * [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)))))) 0.970 * * [simplify]: iters left: 6 (13 enodes) 0.976 * * [simplify]: iters left: 5 (46 enodes) 0.990 * * [simplify]: iters left: 4 (55 enodes) 1.007 * * [simplify]: iters left: 3 (67 enodes) 1.025 * * [simplify]: iters left: 2 (72 enodes) 1.044 * * [simplify]: Extracting #0: cost 1 inf + 0 1.044 * * [simplify]: Extracting #1: cost 0 inf + 1 1.045 * [simplify]: Simplified to 0 1.045 * [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)) 1.045 * * * * [progress]: [ 3 / 137 ] simplifiying candidate # 1.045 * [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)))))) 1.045 * * [simplify]: iters left: 6 (13 enodes) 1.053 * * [simplify]: iters left: 5 (45 enodes) 1.068 * * [simplify]: iters left: 4 (54 enodes) 1.082 * * [simplify]: iters left: 3 (55 enodes) 1.095 * * [simplify]: iters left: 2 (57 enodes) 1.109 * * [simplify]: Extracting #0: cost 1 inf + 0 1.110 * * [simplify]: Extracting #1: cost 7 inf + 0 1.110 * * [simplify]: Extracting #2: cost 11 inf + 1 1.110 * * [simplify]: Extracting #3: cost 14 inf + 1 1.110 * * [simplify]: Extracting #4: cost 15 inf + 2 1.110 * * [simplify]: Extracting #5: cost 17 inf + 2 1.110 * * [simplify]: Extracting #6: cost 15 inf + 60 1.110 * * [simplify]: Extracting #7: cost 11 inf + 451 1.111 * * [simplify]: Extracting #8: cost 4 inf + 1817 1.112 * * [simplify]: Extracting #9: cost 0 inf + 2769 1.113 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1.113 * [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))))))) 1.113 * [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))))) 1.113 * * [simplify]: iters left: 6 (11 enodes) 1.118 * * [simplify]: iters left: 5 (36 enodes) 1.124 * * [simplify]: iters left: 4 (46 enodes) 1.132 * * [simplify]: iters left: 3 (54 enodes) 1.140 * * [simplify]: iters left: 2 (55 enodes) 1.147 * * [simplify]: Extracting #0: cost 1 inf + 0 1.147 * * [simplify]: Extracting #1: cost 0 inf + 1 1.147 * [simplify]: Simplified to 0 1.147 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 0)) 1.148 * * * * [progress]: [ 4 / 137 ] simplifiying candidate # 1.148 * [simplify]: Simplifying (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) 1.148 * * [simplify]: iters left: 6 (13 enodes) 1.152 * * [simplify]: iters left: 5 (49 enodes) 1.163 * * [simplify]: iters left: 4 (58 enodes) 1.171 * * [simplify]: iters left: 3 (62 enodes) 1.182 * * [simplify]: iters left: 2 (72 enodes) 1.190 * * [simplify]: iters left: 1 (73 enodes) 1.199 * * [simplify]: Extracting #0: cost 1 inf + 0 1.199 * * [simplify]: Extracting #1: cost 6 inf + 0 1.199 * * [simplify]: Extracting #2: cost 7 inf + 2 1.200 * * [simplify]: Extracting #3: cost 10 inf + 2 1.200 * * [simplify]: Extracting #4: cost 11 inf + 3 1.200 * * [simplify]: Extracting #5: cost 13 inf + 3 1.200 * * [simplify]: Extracting #6: cost 10 inf + 118 1.200 * * [simplify]: Extracting #7: cost 7 inf + 492 1.200 * * [simplify]: Extracting #8: cost 0 inf + 1818 1.201 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1.201 * [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))))) 1.201 * [simplify]: Simplifying (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) 1.201 * * [simplify]: iters left: 6 (11 enodes) 1.205 * * [simplify]: iters left: 5 (39 enodes) 1.212 * * [simplify]: iters left: 4 (46 enodes) 1.220 * * [simplify]: iters left: 3 (57 enodes) 1.229 * * [simplify]: iters left: 2 (66 enodes) 1.249 * * [simplify]: iters left: 1 (70 enodes) 1.263 * * [simplify]: Extracting #0: cost 1 inf + 0 1.263 * * [simplify]: Extracting #1: cost 0 inf + 1 1.263 * [simplify]: Simplified to 0 1.263 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 0)) 1.263 * * * * [progress]: [ 5 / 137 ] simplifiying candidate # 1.263 * [simplify]: Simplifying (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) 1.264 * * [simplify]: iters left: 6 (13 enodes) 1.272 * * [simplify]: iters left: 5 (49 enodes) 1.288 * * [simplify]: iters left: 4 (58 enodes) 1.296 * * [simplify]: iters left: 3 (62 enodes) 1.306 * * [simplify]: iters left: 2 (72 enodes) 1.314 * * [simplify]: iters left: 1 (73 enodes) 1.331 * * [simplify]: Extracting #0: cost 1 inf + 0 1.331 * * [simplify]: Extracting #1: cost 6 inf + 0 1.331 * * [simplify]: Extracting #2: cost 7 inf + 2 1.331 * * [simplify]: Extracting #3: cost 10 inf + 2 1.331 * * [simplify]: Extracting #4: cost 11 inf + 3 1.331 * * [simplify]: Extracting #5: cost 13 inf + 3 1.331 * * [simplify]: Extracting #6: cost 10 inf + 118 1.332 * * [simplify]: Extracting #7: cost 7 inf + 492 1.332 * * [simplify]: Extracting #8: cost 0 inf + 1818 1.333 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1.333 * [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))))) 1.334 * [simplify]: Simplifying (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) 1.334 * * [simplify]: iters left: 6 (11 enodes) 1.341 * * [simplify]: iters left: 5 (39 enodes) 1.349 * * [simplify]: iters left: 4 (46 enodes) 1.357 * * [simplify]: iters left: 3 (57 enodes) 1.368 * * [simplify]: iters left: 2 (66 enodes) 1.377 * * [simplify]: iters left: 1 (70 enodes) 1.390 * * [simplify]: Extracting #0: cost 1 inf + 0 1.390 * * [simplify]: Extracting #1: cost 0 inf + 1 1.390 * [simplify]: Simplified to 0 1.390 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 0)) 1.390 * * * * [progress]: [ 6 / 137 ] simplifiying candidate # 1.391 * [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)))))) 1.391 * * [simplify]: iters left: 6 (13 enodes) 1.398 * * [simplify]: iters left: 5 (45 enodes) 1.406 * * [simplify]: iters left: 4 (54 enodes) 1.413 * * [simplify]: iters left: 3 (55 enodes) 1.420 * * [simplify]: iters left: 2 (57 enodes) 1.427 * * [simplify]: Extracting #0: cost 1 inf + 0 1.427 * * [simplify]: Extracting #1: cost 7 inf + 0 1.427 * * [simplify]: Extracting #2: cost 11 inf + 1 1.427 * * [simplify]: Extracting #3: cost 14 inf + 1 1.427 * * [simplify]: Extracting #4: cost 15 inf + 2 1.427 * * [simplify]: Extracting #5: cost 17 inf + 2 1.427 * * [simplify]: Extracting #6: cost 15 inf + 60 1.427 * * [simplify]: Extracting #7: cost 11 inf + 451 1.427 * * [simplify]: Extracting #8: cost 4 inf + 1817 1.428 * * [simplify]: Extracting #9: cost 0 inf + 2769 1.428 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1.429 * [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))))))) 1.429 * [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))))) 1.429 * * [simplify]: iters left: 6 (11 enodes) 1.432 * * [simplify]: iters left: 5 (36 enodes) 1.438 * * [simplify]: iters left: 4 (46 enodes) 1.445 * * [simplify]: iters left: 3 (54 enodes) 1.453 * * [simplify]: iters left: 2 (55 enodes) 1.462 * * [simplify]: Extracting #0: cost 1 inf + 0 1.462 * * [simplify]: Extracting #1: cost 0 inf + 1 1.462 * [simplify]: Simplified to 0 1.462 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 0)) 1.462 * * * * [progress]: [ 7 / 137 ] simplifiying candidate # 1.463 * [simplify]: Simplifying (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 1.463 * * [simplify]: iters left: 6 (12 enodes) 1.467 * * [simplify]: iters left: 5 (45 enodes) 1.475 * * [simplify]: iters left: 4 (55 enodes) 1.486 * * [simplify]: iters left: 3 (63 enodes) 1.497 * * [simplify]: iters left: 2 (67 enodes) 1.504 * * [simplify]: iters left: 1 (68 enodes) 1.512 * * [simplify]: Extracting #0: cost 1 inf + 0 1.512 * * [simplify]: Extracting #1: cost 6 inf + 0 1.512 * * [simplify]: Extracting #2: cost 7 inf + 2 1.512 * * [simplify]: Extracting #3: cost 10 inf + 2 1.512 * * [simplify]: Extracting #4: cost 11 inf + 3 1.512 * * [simplify]: Extracting #5: cost 13 inf + 3 1.512 * * [simplify]: Extracting #6: cost 10 inf + 118 1.513 * * [simplify]: Extracting #7: cost 4 inf + 986 1.513 * * [simplify]: Extracting #8: cost 1 inf + 1600 1.514 * * [simplify]: Extracting #9: cost 0 inf + 1818 1.514 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1.514 * [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)))) 1.514 * [simplify]: Simplifying (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) 1.514 * * [simplify]: iters left: 6 (10 enodes) 1.517 * * [simplify]: iters left: 5 (34 enodes) 1.523 * * [simplify]: iters left: 4 (44 enodes) 1.532 * * [simplify]: iters left: 3 (49 enodes) 1.553 * * [simplify]: iters left: 2 (67 enodes) 1.567 * * [simplify]: Extracting #0: cost 1 inf + 0 1.567 * * [simplify]: Extracting #1: cost 0 inf + 1 1.567 * [simplify]: Simplified to 0 1.567 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 0)) 1.567 * * * * [progress]: [ 8 / 137 ] simplifiying candidate # 1.567 * [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))))))) 1.567 * * [simplify]: iters left: 6 (13 enodes) 1.571 * * [simplify]: iters left: 5 (51 enodes) 1.580 * * [simplify]: iters left: 4 (71 enodes) 1.591 * * [simplify]: iters left: 3 (88 enodes) 1.616 * * [simplify]: iters left: 2 (131 enodes) 1.646 * * [simplify]: iters left: 1 (210 enodes) 1.699 * * [simplify]: Extracting #0: cost 1 inf + 0 1.700 * * [simplify]: Extracting #1: cost 11 inf + 0 1.700 * * [simplify]: Extracting #2: cost 46 inf + 1 1.700 * * [simplify]: Extracting #3: cost 81 inf + 4 1.701 * * [simplify]: Extracting #4: cost 80 inf + 8 1.701 * * [simplify]: Extracting #5: cost 81 inf + 9 1.701 * * [simplify]: Extracting #6: cost 79 inf + 67 1.701 * * [simplify]: Extracting #7: cost 75 inf + 498 1.702 * * [simplify]: Extracting #8: cost 65 inf + 2849 1.704 * * [simplify]: Extracting #9: cost 44 inf + 13127 1.709 * * [simplify]: Extracting #10: cost 11 inf + 39557 1.722 * * [simplify]: Extracting #11: cost 0 inf + 48692 1.735 * [simplify]: Simplified to (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1.735 * [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)))))))) 1.735 * [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)))))) 1.735 * * [simplify]: iters left: 6 (12 enodes) 1.741 * * [simplify]: iters left: 5 (44 enodes) 1.756 * * [simplify]: iters left: 4 (62 enodes) 1.770 * * [simplify]: iters left: 3 (103 enodes) 1.788 * * [simplify]: iters left: 2 (151 enodes) 1.817 * * [simplify]: iters left: 1 (222 enodes) 1.873 * * [simplify]: Extracting #0: cost 1 inf + 0 1.873 * * [simplify]: Extracting #1: cost 0 inf + 1 1.873 * [simplify]: Simplified to 0 1.873 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 0)) 1.873 * * * * [progress]: [ 9 / 137 ] simplifiying candidate # 1.874 * [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))))))) 1.874 * * [simplify]: iters left: 6 (14 enodes) 1.878 * * [simplify]: iters left: 5 (53 enodes) 1.886 * * [simplify]: iters left: 4 (65 enodes) 1.902 * * [simplify]: iters left: 3 (66 enodes) 1.918 * * [simplify]: iters left: 2 (70 enodes) 1.935 * * [simplify]: Extracting #0: cost 1 inf + 0 1.935 * * [simplify]: Extracting #1: cost 9 inf + 0 1.935 * * [simplify]: Extracting #2: cost 16 inf + 1 1.935 * * [simplify]: Extracting #3: cost 19 inf + 1 1.935 * * [simplify]: Extracting #4: cost 22 inf + 1 1.935 * * [simplify]: Extracting #5: cost 23 inf + 2 1.936 * * [simplify]: Extracting #6: cost 25 inf + 2 1.936 * * [simplify]: Extracting #7: cost 20 inf + 313 1.936 * * [simplify]: Extracting #8: cost 12 inf + 2057 1.938 * * [simplify]: Extracting #9: cost 2 inf + 5277 1.940 * * [simplify]: Extracting #10: cost 0 inf + 5953 1.942 * [simplify]: Simplified to (- 1 (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (fabs (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1.942 * [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)))))))) 1.943 * [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)))))) 1.943 * * [simplify]: iters left: 6 (13 enodes) 1.949 * * [simplify]: iters left: 5 (46 enodes) 1.963 * * [simplify]: iters left: 4 (55 enodes) 1.978 * * [simplify]: iters left: 3 (67 enodes) 1.988 * * [simplify]: iters left: 2 (72 enodes) 1.997 * * [simplify]: Extracting #0: cost 1 inf + 0 1.997 * * [simplify]: Extracting #1: cost 0 inf + 1 1.997 * [simplify]: Simplified to 0 1.997 * [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)) 1.997 * * * * [progress]: [ 10 / 137 ] simplifiying candidate # 1.997 * [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)))))) 1.998 * * [simplify]: iters left: 6 (12 enodes) 2.001 * * [simplify]: iters left: 5 (42 enodes) 2.011 * * [simplify]: iters left: 4 (51 enodes) 2.017 * * [simplify]: iters left: 3 (52 enodes) 2.024 * * [simplify]: iters left: 2 (54 enodes) 2.031 * * [simplify]: Extracting #0: cost 1 inf + 0 2.031 * * [simplify]: Extracting #1: cost 7 inf + 0 2.031 * * [simplify]: Extracting #2: cost 11 inf + 1 2.031 * * [simplify]: Extracting #3: cost 14 inf + 1 2.031 * * [simplify]: Extracting #4: cost 15 inf + 2 2.031 * * [simplify]: Extracting #5: cost 17 inf + 2 2.031 * * [simplify]: Extracting #6: cost 16 inf + 3 2.031 * * [simplify]: Extracting #7: cost 13 inf + 215 2.031 * * [simplify]: Extracting #8: cost 8 inf + 985 2.032 * * [simplify]: Extracting #9: cost 1 inf + 2511 2.032 * * [simplify]: Extracting #10: cost 0 inf + 2769 2.033 * [simplify]: Simplified to (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 2.033 * [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))))))) 2.033 * [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))))) 2.033 * * [simplify]: iters left: 6 (11 enodes) 2.037 * * [simplify]: iters left: 5 (36 enodes) 2.048 * * [simplify]: iters left: 4 (46 enodes) 2.062 * * [simplify]: iters left: 3 (54 enodes) 2.079 * * [simplify]: iters left: 2 (55 enodes) 2.093 * * [simplify]: Extracting #0: cost 1 inf + 0 2.093 * * [simplify]: Extracting #1: cost 0 inf + 1 2.093 * [simplify]: Simplified to 0 2.093 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 0)) 2.093 * * * * [progress]: [ 11 / 137 ] simplifiying candidate # 2.094 * [simplify]: Simplifying (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) 2.094 * * [simplify]: iters left: 6 (11 enodes) 2.098 * * [simplify]: iters left: 5 (43 enodes) 2.106 * * [simplify]: iters left: 4 (52 enodes) 2.114 * * [simplify]: iters left: 3 (56 enodes) 2.123 * * [simplify]: iters left: 2 (66 enodes) 2.132 * * [simplify]: iters left: 1 (67 enodes) 2.144 * * [simplify]: Extracting #0: cost 1 inf + 0 2.144 * * [simplify]: Extracting #1: cost 6 inf + 0 2.144 * * [simplify]: Extracting #2: cost 7 inf + 2 2.144 * * [simplify]: Extracting #3: cost 10 inf + 2 2.144 * * [simplify]: Extracting #4: cost 11 inf + 3 2.144 * * [simplify]: Extracting #5: cost 13 inf + 3 2.144 * * [simplify]: Extracting #6: cost 12 inf + 4 2.144 * * [simplify]: Extracting #7: cost 9 inf + 216 2.145 * * [simplify]: Extracting #8: cost 1 inf + 1600 2.145 * * [simplify]: Extracting #9: cost 0 inf + 1818 2.145 * [simplify]: Simplified to (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 2.146 * [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))))) 2.146 * [simplify]: Simplifying (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) 2.146 * * [simplify]: iters left: 6 (11 enodes) 2.150 * * [simplify]: iters left: 5 (39 enodes) 2.156 * * [simplify]: iters left: 4 (46 enodes) 2.164 * * [simplify]: iters left: 3 (57 enodes) 2.174 * * [simplify]: iters left: 2 (66 enodes) 2.189 * * [simplify]: iters left: 1 (70 enodes) 2.202 * * [simplify]: Extracting #0: cost 1 inf + 0 2.202 * * [simplify]: Extracting #1: cost 0 inf + 1 2.202 * [simplify]: Simplified to 0 2.203 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 0)) 2.203 * * * * [progress]: [ 12 / 137 ] simplifiying candidate # 2.203 * [simplify]: Simplifying (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) 2.203 * * [simplify]: iters left: 6 (11 enodes) 2.207 * * [simplify]: iters left: 5 (43 enodes) 2.215 * * [simplify]: iters left: 4 (52 enodes) 2.222 * * [simplify]: iters left: 3 (56 enodes) 2.232 * * [simplify]: iters left: 2 (66 enodes) 2.242 * * [simplify]: iters left: 1 (67 enodes) 2.258 * * [simplify]: Extracting #0: cost 1 inf + 0 2.258 * * [simplify]: Extracting #1: cost 6 inf + 0 2.258 * * [simplify]: Extracting #2: cost 7 inf + 2 2.258 * * [simplify]: Extracting #3: cost 10 inf + 2 2.258 * * [simplify]: Extracting #4: cost 11 inf + 3 2.258 * * [simplify]: Extracting #5: cost 13 inf + 3 2.258 * * [simplify]: Extracting #6: cost 12 inf + 4 2.258 * * [simplify]: Extracting #7: cost 9 inf + 216 2.259 * * [simplify]: Extracting #8: cost 1 inf + 1600 2.260 * * [simplify]: Extracting #9: cost 0 inf + 1818 2.261 * [simplify]: Simplified to (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 2.261 * [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))))) 2.261 * [simplify]: Simplifying (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) 2.261 * * [simplify]: iters left: 6 (11 enodes) 2.269 * * [simplify]: iters left: 5 (39 enodes) 2.281 * * [simplify]: iters left: 4 (46 enodes) 2.298 * * [simplify]: iters left: 3 (57 enodes) 2.313 * * [simplify]: iters left: 2 (66 enodes) 2.331 * * [simplify]: iters left: 1 (70 enodes) 2.344 * * [simplify]: Extracting #0: cost 1 inf + 0 2.344 * * [simplify]: Extracting #1: cost 0 inf + 1 2.344 * [simplify]: Simplified to 0 2.344 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 0)) 2.345 * * * * [progress]: [ 13 / 137 ] simplifiying candidate # 2.345 * [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)))))) 2.345 * * [simplify]: iters left: 6 (12 enodes) 2.353 * * [simplify]: iters left: 5 (42 enodes) 2.366 * * [simplify]: iters left: 4 (51 enodes) 2.378 * * [simplify]: iters left: 3 (52 enodes) 2.391 * * [simplify]: iters left: 2 (54 enodes) 2.405 * * [simplify]: Extracting #0: cost 1 inf + 0 2.405 * * [simplify]: Extracting #1: cost 7 inf + 0 2.405 * * [simplify]: Extracting #2: cost 11 inf + 1 2.405 * * [simplify]: Extracting #3: cost 14 inf + 1 2.405 * * [simplify]: Extracting #4: cost 15 inf + 2 2.405 * * [simplify]: Extracting #5: cost 17 inf + 2 2.405 * * [simplify]: Extracting #6: cost 16 inf + 3 2.406 * * [simplify]: Extracting #7: cost 13 inf + 215 2.406 * * [simplify]: Extracting #8: cost 8 inf + 985 2.407 * * [simplify]: Extracting #9: cost 1 inf + 2511 2.408 * * [simplify]: Extracting #10: cost 0 inf + 2769 2.409 * [simplify]: Simplified to (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 2.409 * [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))))))) 2.409 * [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))))) 2.410 * * [simplify]: iters left: 6 (11 enodes) 2.416 * * [simplify]: iters left: 5 (36 enodes) 2.427 * * [simplify]: iters left: 4 (46 enodes) 2.442 * * [simplify]: iters left: 3 (54 enodes) 2.459 * * [simplify]: iters left: 2 (55 enodes) 2.473 * * [simplify]: Extracting #0: cost 1 inf + 0 2.473 * * [simplify]: Extracting #1: cost 0 inf + 1 2.473 * [simplify]: Simplified to 0 2.473 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 0)) 2.474 * * * * [progress]: [ 14 / 137 ] simplifiying candidate # 2.474 * [simplify]: Simplifying (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 2.474 * * [simplify]: iters left: 6 (11 enodes) 2.481 * * [simplify]: iters left: 5 (42 enodes) 2.494 * * [simplify]: iters left: 4 (53 enodes) 2.503 * * [simplify]: iters left: 3 (61 enodes) 2.511 * * [simplify]: iters left: 2 (65 enodes) 2.518 * * [simplify]: iters left: 1 (66 enodes) 2.528 * * [simplify]: Extracting #0: cost 1 inf + 0 2.528 * * [simplify]: Extracting #1: cost 6 inf + 0 2.528 * * [simplify]: Extracting #2: cost 7 inf + 2 2.528 * * [simplify]: Extracting #3: cost 10 inf + 2 2.528 * * [simplify]: Extracting #4: cost 11 inf + 3 2.528 * * [simplify]: Extracting #5: cost 13 inf + 3 2.529 * * [simplify]: Extracting #6: cost 12 inf + 4 2.529 * * [simplify]: Extracting #7: cost 9 inf + 216 2.529 * * [simplify]: Extracting #8: cost 1 inf + 1600 2.530 * * [simplify]: Extracting #9: cost 0 inf + 1818 2.531 * [simplify]: Simplified to (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 2.531 * [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)))) 2.531 * [simplify]: Simplifying (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) 2.532 * * [simplify]: iters left: 6 (10 enodes) 2.537 * * [simplify]: iters left: 5 (34 enodes) 2.548 * * [simplify]: iters left: 4 (44 enodes) 2.559 * * [simplify]: iters left: 3 (49 enodes) 2.570 * * [simplify]: iters left: 2 (67 enodes) 2.578 * * [simplify]: Extracting #0: cost 1 inf + 0 2.578 * * [simplify]: Extracting #1: cost 0 inf + 1 2.578 * [simplify]: Simplified to 0 2.578 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 0)) 2.579 * * * * [progress]: [ 15 / 137 ] simplifiying candidate # 2.579 * [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))))))) 2.579 * * [simplify]: iters left: 6 (12 enodes) 2.582 * * [simplify]: iters left: 5 (48 enodes) 2.590 * * [simplify]: iters left: 4 (65 enodes) 2.609 * * [simplify]: iters left: 3 (83 enodes) 2.637 * * [simplify]: iters left: 2 (126 enodes) 2.679 * * [simplify]: iters left: 1 (197 enodes) 2.744 * * [simplify]: Extracting #0: cost 1 inf + 0 2.744 * * [simplify]: Extracting #1: cost 11 inf + 0 2.744 * * [simplify]: Extracting #2: cost 44 inf + 1 2.744 * * [simplify]: Extracting #3: cost 78 inf + 4 2.744 * * [simplify]: Extracting #4: cost 77 inf + 8 2.745 * * [simplify]: Extracting #5: cost 78 inf + 9 2.745 * * [simplify]: Extracting #6: cost 71 inf + 596 2.746 * * [simplify]: Extracting #7: cost 61 inf + 3107 2.748 * * [simplify]: Extracting #8: cost 27 inf + 24011 2.754 * * [simplify]: Extracting #9: cost 5 inf + 41386 2.765 * * [simplify]: Extracting #10: cost 0 inf + 45819 2.776 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 2.776 * [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)))))))) 2.777 * [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)))))) 2.777 * * [simplify]: iters left: 6 (12 enodes) 2.782 * * [simplify]: iters left: 5 (44 enodes) 2.789 * * [simplify]: iters left: 4 (62 enodes) 2.804 * * [simplify]: iters left: 3 (103 enodes) 2.831 * * [simplify]: iters left: 2 (151 enodes) 2.876 * * [simplify]: iters left: 1 (222 enodes) 2.963 * * [simplify]: Extracting #0: cost 1 inf + 0 2.963 * * [simplify]: Extracting #1: cost 0 inf + 1 2.963 * [simplify]: Simplified to 0 2.963 * [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)) 2.963 * * * * [progress]: [ 16 / 137 ] simplifiying candidate # 2.963 * [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))))))) 2.964 * * [simplify]: iters left: 6 (13 enodes) 2.971 * * [simplify]: iters left: 5 (50 enodes) 2.986 * * [simplify]: iters left: 4 (58 enodes) 2.999 * * [simplify]: iters left: 3 (60 enodes) 3.007 * * [simplify]: iters left: 2 (64 enodes) 3.016 * * [simplify]: Extracting #0: cost 1 inf + 0 3.016 * * [simplify]: Extracting #1: cost 9 inf + 0 3.016 * * [simplify]: Extracting #2: cost 16 inf + 1 3.016 * * [simplify]: Extracting #3: cost 19 inf + 1 3.016 * * [simplify]: Extracting #4: cost 22 inf + 1 3.016 * * [simplify]: Extracting #5: cost 23 inf + 2 3.016 * * [simplify]: Extracting #6: cost 25 inf + 2 3.016 * * [simplify]: Extracting #7: cost 20 inf + 394 3.016 * * [simplify]: Extracting #8: cost 12 inf + 2057 3.017 * * [simplify]: Extracting #9: cost 2 inf + 5277 3.018 * * [simplify]: Extracting #10: cost 0 inf + 5953 3.019 * [simplify]: Simplified to (- 1 (* (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.019 * [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)))))))) 3.019 * [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)))))) 3.020 * * [simplify]: iters left: 6 (13 enodes) 3.026 * * [simplify]: iters left: 5 (46 enodes) 3.040 * * [simplify]: iters left: 4 (55 enodes) 3.051 * * [simplify]: iters left: 3 (67 enodes) 3.061 * * [simplify]: iters left: 2 (72 enodes) 3.071 * * [simplify]: Extracting #0: cost 1 inf + 0 3.071 * * [simplify]: Extracting #1: cost 0 inf + 1 3.071 * [simplify]: Simplified to 0 3.071 * [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)) 3.071 * * * * [progress]: [ 17 / 137 ] simplifiying candidate # 3.071 * [simplify]: Simplifying (fma 1 1 (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 3.072 * * [simplify]: iters left: 6 (11 enodes) 3.078 * * [simplify]: iters left: 5 (39 enodes) 3.086 * * [simplify]: iters left: 4 (44 enodes) 3.093 * * [simplify]: iters left: 3 (46 enodes) 3.099 * * [simplify]: iters left: 2 (48 enodes) 3.105 * * [simplify]: Extracting #0: cost 1 inf + 0 3.105 * * [simplify]: Extracting #1: cost 7 inf + 0 3.105 * * [simplify]: Extracting #2: cost 11 inf + 1 3.106 * * [simplify]: Extracting #3: cost 14 inf + 1 3.106 * * [simplify]: Extracting #4: cost 15 inf + 2 3.106 * * [simplify]: Extracting #5: cost 17 inf + 2 3.106 * * [simplify]: Extracting #6: cost 14 inf + 117 3.106 * * [simplify]: Extracting #7: cost 10 inf + 589 3.106 * * [simplify]: Extracting #8: cost 3 inf + 2075 3.107 * * [simplify]: Extracting #9: cost 1 inf + 2551 3.107 * * [simplify]: Extracting #10: cost 0 inf + 2769 3.108 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 3.108 * [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))))))) 3.108 * [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))))) 3.108 * * [simplify]: iters left: 6 (11 enodes) 3.111 * * [simplify]: iters left: 5 (36 enodes) 3.117 * * [simplify]: iters left: 4 (46 enodes) 3.131 * * [simplify]: iters left: 3 (54 enodes) 3.146 * * [simplify]: iters left: 2 (55 enodes) 3.162 * * [simplify]: Extracting #0: cost 1 inf + 0 3.162 * * [simplify]: Extracting #1: cost 0 inf + 1 3.162 * [simplify]: Simplified to 0 3.162 * [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)) 3.163 * * * * [progress]: [ 18 / 137 ] simplifiying candidate # 3.163 * [simplify]: Simplifying (fma 1 1 (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) 3.163 * * [simplify]: iters left: 6 (11 enodes) 3.170 * * [simplify]: iters left: 5 (44 enodes) 3.183 * * [simplify]: iters left: 4 (48 enodes) 3.198 * * [simplify]: iters left: 3 (57 enodes) 3.213 * * [simplify]: iters left: 2 (61 enodes) 3.227 * * [simplify]: iters left: 1 (62 enodes) 3.240 * * [simplify]: Extracting #0: cost 1 inf + 0 3.240 * * [simplify]: Extracting #1: cost 6 inf + 0 3.240 * * [simplify]: Extracting #2: cost 7 inf + 2 3.240 * * [simplify]: Extracting #3: cost 10 inf + 2 3.240 * * [simplify]: Extracting #4: cost 11 inf + 3 3.240 * * [simplify]: Extracting #5: cost 13 inf + 3 3.240 * * [simplify]: Extracting #6: cost 11 inf + 61 3.240 * * [simplify]: Extracting #7: cost 7 inf + 452 3.240 * * [simplify]: Extracting #8: cost 1 inf + 1600 3.241 * * [simplify]: Extracting #9: cost 0 inf + 1818 3.241 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 3.241 * [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))))) 3.242 * [simplify]: Simplifying (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) 3.242 * * [simplify]: iters left: 6 (11 enodes) 3.246 * * [simplify]: iters left: 5 (39 enodes) 3.252 * * [simplify]: iters left: 4 (46 enodes) 3.259 * * [simplify]: iters left: 3 (57 enodes) 3.267 * * [simplify]: iters left: 2 (66 enodes) 3.286 * * [simplify]: iters left: 1 (70 enodes) 3.299 * * [simplify]: Extracting #0: cost 1 inf + 0 3.299 * * [simplify]: Extracting #1: cost 0 inf + 1 3.299 * [simplify]: Simplified to 0 3.299 * [simplify]: Simplified (2 2) to (λ (x) (+ (fma 1 1 (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) 0)) 3.299 * * * * [progress]: [ 19 / 137 ] simplifiying candidate # 3.300 * [simplify]: Simplifying (fma 1 1 (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) 3.300 * * [simplify]: iters left: 6 (11 enodes) 3.307 * * [simplify]: iters left: 5 (44 enodes) 3.320 * * [simplify]: iters left: 4 (48 enodes) 3.334 * * [simplify]: iters left: 3 (57 enodes) 3.342 * * [simplify]: iters left: 2 (61 enodes) 3.349 * * [simplify]: iters left: 1 (62 enodes) 3.357 * * [simplify]: Extracting #0: cost 1 inf + 0 3.357 * * [simplify]: Extracting #1: cost 6 inf + 0 3.357 * * [simplify]: Extracting #2: cost 7 inf + 2 3.357 * * [simplify]: Extracting #3: cost 10 inf + 2 3.357 * * [simplify]: Extracting #4: cost 11 inf + 3 3.357 * * [simplify]: Extracting #5: cost 13 inf + 3 3.357 * * [simplify]: Extracting #6: cost 11 inf + 61 3.358 * * [simplify]: Extracting #7: cost 7 inf + 452 3.358 * * [simplify]: Extracting #8: cost 1 inf + 1600 3.358 * * [simplify]: Extracting #9: cost 0 inf + 1818 3.359 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 3.359 * [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))))) 3.359 * [simplify]: Simplifying (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) 3.359 * * [simplify]: iters left: 6 (11 enodes) 3.363 * * [simplify]: iters left: 5 (39 enodes) 3.370 * * [simplify]: iters left: 4 (46 enodes) 3.385 * * [simplify]: iters left: 3 (57 enodes) 3.400 * * [simplify]: iters left: 2 (66 enodes) 3.420 * * [simplify]: iters left: 1 (70 enodes) 3.433 * * [simplify]: Extracting #0: cost 1 inf + 0 3.433 * * [simplify]: Extracting #1: cost 0 inf + 1 3.433 * [simplify]: Simplified to 0 3.433 * [simplify]: Simplified (2 2) to (λ (x) (+ (fma 1 1 (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) 0)) 3.433 * * * * [progress]: [ 20 / 137 ] simplifiying candidate # 3.433 * [simplify]: Simplifying (fma 1 1 (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 3.434 * * [simplify]: iters left: 6 (11 enodes) 3.439 * * [simplify]: iters left: 5 (39 enodes) 3.451 * * [simplify]: iters left: 4 (44 enodes) 3.457 * * [simplify]: iters left: 3 (46 enodes) 3.464 * * [simplify]: iters left: 2 (48 enodes) 3.471 * * [simplify]: Extracting #0: cost 1 inf + 0 3.471 * * [simplify]: Extracting #1: cost 7 inf + 0 3.471 * * [simplify]: Extracting #2: cost 11 inf + 1 3.471 * * [simplify]: Extracting #3: cost 14 inf + 1 3.471 * * [simplify]: Extracting #4: cost 15 inf + 2 3.471 * * [simplify]: Extracting #5: cost 17 inf + 2 3.471 * * [simplify]: Extracting #6: cost 14 inf + 117 3.471 * * [simplify]: Extracting #7: cost 10 inf + 589 3.472 * * [simplify]: Extracting #8: cost 3 inf + 2075 3.472 * * [simplify]: Extracting #9: cost 1 inf + 2551 3.473 * * [simplify]: Extracting #10: cost 0 inf + 2769 3.473 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 3.473 * [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))))))) 3.473 * [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))))) 3.474 * * [simplify]: iters left: 6 (11 enodes) 3.477 * * [simplify]: iters left: 5 (36 enodes) 3.482 * * [simplify]: iters left: 4 (46 enodes) 3.489 * * [simplify]: iters left: 3 (54 enodes) 3.498 * * [simplify]: iters left: 2 (55 enodes) 3.511 * * [simplify]: Extracting #0: cost 1 inf + 0 3.511 * * [simplify]: Extracting #1: cost 0 inf + 1 3.511 * [simplify]: Simplified to 0 3.511 * [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)) 3.511 * * * * [progress]: [ 21 / 137 ] simplifiying candidate # 3.512 * [simplify]: Simplifying (fma 1 1 (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 3.512 * * [simplify]: iters left: 6 (10 enodes) 3.518 * * [simplify]: iters left: 5 (39 enodes) 3.530 * * [simplify]: iters left: 4 (45 enodes) 3.538 * * [simplify]: iters left: 3 (54 enodes) 3.545 * * [simplify]: iters left: 2 (58 enodes) 3.551 * * [simplify]: iters left: 1 (59 enodes) 3.559 * * [simplify]: Extracting #0: cost 1 inf + 0 3.559 * * [simplify]: Extracting #1: cost 6 inf + 0 3.559 * * [simplify]: Extracting #2: cost 7 inf + 2 3.560 * * [simplify]: Extracting #3: cost 10 inf + 2 3.560 * * [simplify]: Extracting #4: cost 11 inf + 3 3.560 * * [simplify]: Extracting #5: cost 13 inf + 3 3.560 * * [simplify]: Extracting #6: cost 10 inf + 118 3.560 * * [simplify]: Extracting #7: cost 3 inf + 1164 3.561 * * [simplify]: Extracting #8: cost 0 inf + 1818 3.562 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 3.562 * [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)))) 3.563 * [simplify]: Simplifying (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) 3.563 * * [simplify]: iters left: 6 (10 enodes) 3.568 * * [simplify]: iters left: 5 (34 enodes) 3.580 * * [simplify]: iters left: 4 (44 enodes) 3.594 * * [simplify]: iters left: 3 (49 enodes) 3.612 * * [simplify]: iters left: 2 (67 enodes) 3.628 * * [simplify]: Extracting #0: cost 1 inf + 0 3.628 * * [simplify]: Extracting #1: cost 0 inf + 1 3.628 * [simplify]: Simplified to 0 3.628 * [simplify]: Simplified (2 2) to (λ (x) (+ (fma 1 1 (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0)) 3.629 * * * * [progress]: [ 22 / 137 ] simplifiying candidate # 3.629 * * * * [progress]: [ 23 / 137 ] simplifiying candidate # 3.629 * * * * [progress]: [ 24 / 137 ] simplifiying candidate # 3.629 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 3.629 * * [simplify]: iters left: 3 (3 enodes) 3.635 * * [simplify]: iters left: 2 (11 enodes) 3.638 * * [simplify]: iters left: 1 (13 enodes) 3.644 * * [simplify]: Extracting #0: cost 1 inf + 0 3.644 * * [simplify]: Extracting #1: cost 0 inf + 1 3.644 * [simplify]: Simplified to 1 3.645 * [simplify]: Simplified (2 1) to (λ (x) (fma 1 (cbrt 1) (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 3.645 * * * * [progress]: [ 25 / 137 ] simplifiying candidate # 3.645 * [simplify]: Simplifying (sqrt 1) 3.645 * * [simplify]: iters left: 1 (2 enodes) 3.648 * * [simplify]: Extracting #0: cost 1 inf + 0 3.648 * * [simplify]: Extracting #1: cost 0 inf + 1 3.648 * [simplify]: Simplified to 1 3.648 * [simplify]: Simplified (2 1) to (λ (x) (fma 1 (sqrt 1) (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 3.648 * * * * [progress]: [ 26 / 137 ] simplifiying candidate # 3.648 * * * * [progress]: [ 27 / 137 ] simplifiying candidate # 3.649 * [simplify]: Simplifying (/ (exp 1) (exp (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3.649 * * [simplify]: iters left: 6 (10 enodes) 3.654 * * [simplify]: iters left: 5 (34 enodes) 3.664 * * [simplify]: iters left: 4 (42 enodes) 3.675 * * [simplify]: iters left: 3 (47 enodes) 3.688 * * [simplify]: iters left: 2 (51 enodes) 3.703 * * [simplify]: iters left: 1 (55 enodes) 3.719 * * [simplify]: Extracting #0: cost 1 inf + 0 3.719 * * [simplify]: Extracting #1: cost 6 inf + 0 3.719 * * [simplify]: Extracting #2: cost 11 inf + 1 3.719 * * [simplify]: Extracting #3: cost 13 inf + 2 3.719 * * [simplify]: Extracting #4: cost 16 inf + 2 3.719 * * [simplify]: Extracting #5: cost 17 inf + 3 3.719 * * [simplify]: Extracting #6: cost 19 inf + 3 3.719 * * [simplify]: Extracting #7: cost 18 inf + 4 3.720 * * [simplify]: Extracting #8: cost 16 inf + 159 3.720 * * [simplify]: Extracting #9: cost 11 inf + 768 3.721 * * [simplify]: Extracting #10: cost 3 inf + 2672 3.722 * * [simplify]: Extracting #11: cost 0 inf + 3466 3.723 * [simplify]: Simplified to (exp (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3.723 * [simplify]: Simplified (2 1) to (λ (x) (log (exp (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 3.723 * * * * [progress]: [ 28 / 137 ] simplifiying candidate # 3.723 * * * * [progress]: [ 29 / 137 ] simplifiying candidate # 3.723 * * * * [progress]: [ 30 / 137 ] simplifiying candidate # 3.723 * * * * [progress]: [ 31 / 137 ] simplifiying candidate # 3.723 * * * * [progress]: [ 32 / 137 ] simplifiying candidate # 3.723 * * * * [progress]: [ 33 / 137 ] simplifiying candidate # 3.723 * * * * [progress]: [ 34 / 137 ] simplifiying candidate # 3.724 * * * * [progress]: [ 35 / 137 ] simplifiying candidate # 3.724 * * * * [progress]: [ 36 / 137 ] simplifiying candidate # 3.724 * * * * [progress]: [ 37 / 137 ] simplifiying candidate # 3.724 * * * * [progress]: [ 38 / 137 ] simplifiying candidate # 3.724 * [simplify]: Simplifying (+ (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3.724 * * [simplify]: iters left: 6 (10 enodes) 3.730 * * [simplify]: iters left: 5 (34 enodes) 3.739 * * [simplify]: iters left: 4 (36 enodes) 3.749 * * [simplify]: Extracting #0: cost 1 inf + 0 3.749 * * [simplify]: Extracting #1: cost 4 inf + 0 3.749 * * [simplify]: Extracting #2: cost 5 inf + 1 3.749 * * [simplify]: Extracting #3: cost 7 inf + 1 3.749 * * [simplify]: Extracting #4: cost 10 inf + 1 3.749 * * [simplify]: Extracting #5: cost 11 inf + 2 3.749 * * [simplify]: Extracting #6: cost 13 inf + 2 3.750 * * [simplify]: Extracting #7: cost 12 inf + 3 3.750 * * [simplify]: Extracting #8: cost 9 inf + 215 3.750 * * [simplify]: Extracting #9: cost 4 inf + 945 3.751 * * [simplify]: Extracting #10: cost 0 inf + 1897 3.751 * [simplify]: Simplified to (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3.751 * [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)))))) 3.752 * [simplify]: Simplifying (- (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3.752 * * [simplify]: iters left: 6 (10 enodes) 3.758 * * [simplify]: iters left: 5 (35 enodes) 3.768 * * [simplify]: iters left: 4 (41 enodes) 3.779 * * [simplify]: iters left: 3 (42 enodes) 3.791 * * [simplify]: Extracting #0: cost 1 inf + 0 3.791 * * [simplify]: Extracting #1: cost 5 inf + 0 3.791 * * [simplify]: Extracting #2: cost 7 inf + 1 3.791 * * [simplify]: Extracting #3: cost 9 inf + 1 3.791 * * [simplify]: Extracting #4: cost 12 inf + 1 3.791 * * [simplify]: Extracting #5: cost 13 inf + 2 3.791 * * [simplify]: Extracting #6: cost 15 inf + 2 3.791 * * [simplify]: Extracting #7: cost 14 inf + 3 3.791 * * [simplify]: Extracting #8: cost 10 inf + 313 3.791 * * [simplify]: Extracting #9: cost 7 inf + 767 3.792 * * [simplify]: Extracting #10: cost 0 inf + 2413 3.792 * [simplify]: Simplified to (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3.792 * [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)))))) 3.792 * * * * [progress]: [ 39 / 137 ] simplifiying candidate # 3.793 * [simplify]: Simplifying (+ (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3.793 * * [simplify]: iters left: 6 (10 enodes) 3.797 * * [simplify]: iters left: 5 (34 enodes) 3.803 * * [simplify]: iters left: 4 (36 enodes) 3.808 * * [simplify]: Extracting #0: cost 1 inf + 0 3.808 * * [simplify]: Extracting #1: cost 4 inf + 0 3.808 * * [simplify]: Extracting #2: cost 5 inf + 1 3.808 * * [simplify]: Extracting #3: cost 7 inf + 1 3.808 * * [simplify]: Extracting #4: cost 10 inf + 1 3.808 * * [simplify]: Extracting #5: cost 11 inf + 2 3.808 * * [simplify]: Extracting #6: cost 13 inf + 2 3.808 * * [simplify]: Extracting #7: cost 12 inf + 3 3.808 * * [simplify]: Extracting #8: cost 9 inf + 215 3.808 * * [simplify]: Extracting #9: cost 4 inf + 945 3.809 * * [simplify]: Extracting #10: cost 0 inf + 1897 3.809 * [simplify]: Simplified to (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3.809 * [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)))))) 3.809 * [simplify]: Simplifying (- (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3.809 * * [simplify]: iters left: 6 (10 enodes) 3.813 * * [simplify]: iters left: 5 (35 enodes) 3.818 * * [simplify]: iters left: 4 (41 enodes) 3.825 * * [simplify]: iters left: 3 (42 enodes) 3.836 * * [simplify]: Extracting #0: cost 1 inf + 0 3.836 * * [simplify]: Extracting #1: cost 5 inf + 0 3.836 * * [simplify]: Extracting #2: cost 7 inf + 1 3.836 * * [simplify]: Extracting #3: cost 9 inf + 1 3.836 * * [simplify]: Extracting #4: cost 12 inf + 1 3.836 * * [simplify]: Extracting #5: cost 13 inf + 2 3.836 * * [simplify]: Extracting #6: cost 15 inf + 2 3.836 * * [simplify]: Extracting #7: cost 14 inf + 3 3.836 * * [simplify]: Extracting #8: cost 10 inf + 313 3.837 * * [simplify]: Extracting #9: cost 7 inf + 767 3.837 * * [simplify]: Extracting #10: cost 0 inf + 2413 3.838 * [simplify]: Simplified to (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3.838 * [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)))))) 3.838 * * * * [progress]: [ 40 / 137 ] simplifiying candidate # 3.839 * [simplify]: Simplifying (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3.839 * * [simplify]: iters left: 6 (9 enodes) 3.844 * * [simplify]: iters left: 5 (31 enodes) 3.854 * * [simplify]: iters left: 4 (33 enodes) 3.864 * * [simplify]: Extracting #0: cost 1 inf + 0 3.864 * * [simplify]: Extracting #1: cost 4 inf + 0 3.864 * * [simplify]: Extracting #2: cost 5 inf + 1 3.864 * * [simplify]: Extracting #3: cost 7 inf + 1 3.864 * * [simplify]: Extracting #4: cost 10 inf + 1 3.864 * * [simplify]: Extracting #5: cost 11 inf + 2 3.864 * * [simplify]: Extracting #6: cost 13 inf + 2 3.865 * * [simplify]: Extracting #7: cost 10 inf + 117 3.865 * * [simplify]: Extracting #8: cost 8 inf + 353 3.865 * * [simplify]: Extracting #9: cost 4 inf + 985 3.866 * * [simplify]: Extracting #10: cost 0 inf + 1897 3.866 * [simplify]: Simplified to (+ 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 3.866 * [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)))))) 3.867 * [simplify]: Simplifying (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3.867 * * [simplify]: iters left: 6 (9 enodes) 3.872 * * [simplify]: iters left: 5 (32 enodes) 3.881 * * [simplify]: iters left: 4 (37 enodes) 3.892 * * [simplify]: Extracting #0: cost 1 inf + 0 3.892 * * [simplify]: Extracting #1: cost 5 inf + 0 3.892 * * [simplify]: Extracting #2: cost 7 inf + 1 3.892 * * [simplify]: Extracting #3: cost 9 inf + 1 3.892 * * [simplify]: Extracting #4: cost 12 inf + 1 3.893 * * [simplify]: Extracting #5: cost 13 inf + 2 3.893 * * [simplify]: Extracting #6: cost 15 inf + 2 3.893 * * [simplify]: Extracting #7: cost 13 inf + 60 3.893 * * [simplify]: Extracting #8: cost 10 inf + 353 3.893 * * [simplify]: Extracting #9: cost 3 inf + 1679 3.894 * * [simplify]: Extracting #10: cost 0 inf + 2413 3.895 * [simplify]: Simplified to (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 3.895 * [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)))))))) 3.895 * * * * [progress]: [ 41 / 137 ] simplifiying candidate # 3.896 * [simplify]: Simplifying (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3.896 * * [simplify]: iters left: 6 (9 enodes) 3.901 * * [simplify]: iters left: 5 (31 enodes) 3.910 * * [simplify]: iters left: 4 (33 enodes) 3.919 * * [simplify]: Extracting #0: cost 1 inf + 0 3.919 * * [simplify]: Extracting #1: cost 4 inf + 0 3.920 * * [simplify]: Extracting #2: cost 5 inf + 1 3.920 * * [simplify]: Extracting #3: cost 7 inf + 1 3.920 * * [simplify]: Extracting #4: cost 10 inf + 1 3.920 * * [simplify]: Extracting #5: cost 11 inf + 2 3.920 * * [simplify]: Extracting #6: cost 13 inf + 2 3.920 * * [simplify]: Extracting #7: cost 10 inf + 117 3.920 * * [simplify]: Extracting #8: cost 8 inf + 353 3.920 * * [simplify]: Extracting #9: cost 4 inf + 985 3.921 * * [simplify]: Extracting #10: cost 0 inf + 1897 3.922 * [simplify]: Simplified to (+ 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 3.922 * [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)))))) 3.922 * [simplify]: Simplifying (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3.922 * * [simplify]: iters left: 6 (9 enodes) 3.927 * * [simplify]: iters left: 5 (32 enodes) 3.939 * * [simplify]: iters left: 4 (37 enodes) 3.950 * * [simplify]: Extracting #0: cost 1 inf + 0 3.950 * * [simplify]: Extracting #1: cost 5 inf + 0 3.950 * * [simplify]: Extracting #2: cost 7 inf + 1 3.950 * * [simplify]: Extracting #3: cost 9 inf + 1 3.951 * * [simplify]: Extracting #4: cost 12 inf + 1 3.951 * * [simplify]: Extracting #5: cost 13 inf + 2 3.951 * * [simplify]: Extracting #6: cost 15 inf + 2 3.951 * * [simplify]: Extracting #7: cost 13 inf + 60 3.951 * * [simplify]: Extracting #8: cost 10 inf + 353 3.951 * * [simplify]: Extracting #9: cost 3 inf + 1679 3.952 * * [simplify]: Extracting #10: cost 0 inf + 2413 3.953 * [simplify]: Simplified to (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 3.953 * [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)))))))) 3.953 * * * * [progress]: [ 42 / 137 ] simplifiying candidate # 3.953 * [simplify]: Simplifying (sqrt 1) 3.954 * * [simplify]: iters left: 1 (2 enodes) 3.957 * * [simplify]: Extracting #0: cost 1 inf + 0 3.957 * * [simplify]: Extracting #1: cost 0 inf + 1 3.957 * [simplify]: Simplified to 1 3.957 * [simplify]: Simplified (2 1) to (λ (x) (* 1 (- (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 3.957 * [simplify]: Simplifying (- (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 3.958 * * [simplify]: iters left: 6 (9 enodes) 3.964 * * [simplify]: iters left: 5 (32 enodes) 3.973 * * [simplify]: iters left: 4 (38 enodes) 3.983 * * [simplify]: iters left: 3 (39 enodes) 3.994 * * [simplify]: Extracting #0: cost 1 inf + 0 3.994 * * [simplify]: Extracting #1: cost 5 inf + 0 3.994 * * [simplify]: Extracting #2: cost 7 inf + 1 3.994 * * [simplify]: Extracting #3: cost 10 inf + 1 3.994 * * [simplify]: Extracting #4: cost 11 inf + 2 3.994 * * [simplify]: Extracting #5: cost 13 inf + 2 3.994 * * [simplify]: Extracting #6: cost 12 inf + 3 3.994 * * [simplify]: Extracting #7: cost 9 inf + 256 3.995 * * [simplify]: Extracting #8: cost 4 inf + 985 3.995 * * [simplify]: Extracting #9: cost 0 inf + 1817 3.996 * [simplify]: Simplified to (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 3.996 * [simplify]: Simplified (2 2) to (λ (x) (* (sqrt 1) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 3.996 * * * * [progress]: [ 43 / 137 ] simplifiying candidate # 3.996 * [simplify]: Simplifying (sqrt 1) 3.996 * * [simplify]: iters left: 1 (2 enodes) 3.999 * * [simplify]: Extracting #0: cost 1 inf + 0 3.999 * * [simplify]: Extracting #1: cost 0 inf + 1 3.999 * [simplify]: Simplified to 1 4.000 * [simplify]: Simplified (2 1) to (λ (x) (* 1 (- (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 4.000 * [simplify]: Simplifying (- (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 4.000 * * [simplify]: iters left: 6 (9 enodes) 4.006 * * [simplify]: iters left: 5 (32 enodes) 4.014 * * [simplify]: iters left: 4 (38 enodes) 4.019 * * [simplify]: iters left: 3 (39 enodes) 4.025 * * [simplify]: Extracting #0: cost 1 inf + 0 4.025 * * [simplify]: Extracting #1: cost 5 inf + 0 4.025 * * [simplify]: Extracting #2: cost 7 inf + 1 4.025 * * [simplify]: Extracting #3: cost 10 inf + 1 4.025 * * [simplify]: Extracting #4: cost 11 inf + 2 4.025 * * [simplify]: Extracting #5: cost 13 inf + 2 4.025 * * [simplify]: Extracting #6: cost 12 inf + 3 4.025 * * [simplify]: Extracting #7: cost 9 inf + 256 4.025 * * [simplify]: Extracting #8: cost 4 inf + 985 4.026 * * [simplify]: Extracting #9: cost 0 inf + 1817 4.026 * [simplify]: Simplified to (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 4.026 * [simplify]: Simplified (2 2) to (λ (x) (* (sqrt 1) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 4.026 * * * * [progress]: [ 44 / 137 ] simplifiying candidate # 4.026 * [simplify]: Simplifying (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 4.026 * * [simplify]: iters left: 6 (8 enodes) 4.029 * * [simplify]: iters left: 5 (29 enodes) 4.033 * * [simplify]: iters left: 4 (34 enodes) 4.039 * * [simplify]: Extracting #0: cost 1 inf + 0 4.039 * * [simplify]: Extracting #1: cost 5 inf + 0 4.039 * * [simplify]: Extracting #2: cost 7 inf + 1 4.039 * * [simplify]: Extracting #3: cost 10 inf + 1 4.039 * * [simplify]: Extracting #4: cost 11 inf + 2 4.039 * * [simplify]: Extracting #5: cost 13 inf + 2 4.039 * * [simplify]: Extracting #6: cost 11 inf + 60 4.039 * * [simplify]: Extracting #7: cost 7 inf + 451 4.039 * * [simplify]: Extracting #8: cost 0 inf + 1817 4.040 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 4.040 * [simplify]: Simplified (2 2) to (λ (x) (* 1 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 4.040 * * * * [progress]: [ 45 / 137 ] simplifiying candidate # 4.040 * * * * [progress]: [ 46 / 137 ] simplifiying candidate #real (real->posit16 (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 4.040 * * * * [progress]: [ 47 / 137 ] simplifiying candidate # 4.040 * * * * [progress]: [ 48 / 137 ] simplifiying candidate # 4.040 * * * * [progress]: [ 49 / 137 ] simplifiying candidate # 4.040 * * * * [progress]: [ 50 / 137 ] simplifiying candidate # 4.040 * [simplify]: Simplifying (- (log 1/2) (log (hypot 1 x))) 4.041 * * [simplify]: iters left: 4 (7 enodes) 4.045 * * [simplify]: iters left: 3 (25 enodes) 4.053 * * [simplify]: iters left: 2 (30 enodes) 4.064 * * [simplify]: Extracting #0: cost 1 inf + 0 4.064 * * [simplify]: Extracting #1: cost 5 inf + 0 4.065 * * [simplify]: Extracting #2: cost 10 inf + 0 4.065 * * [simplify]: Extracting #3: cost 12 inf + 1 4.065 * * [simplify]: Extracting #4: cost 8 inf + 145 4.065 * * [simplify]: Extracting #5: cost 5 inf + 496 4.065 * * [simplify]: Extracting #6: cost 1 inf + 1085 4.066 * * [simplify]: Extracting #7: cost 0 inf + 1323 4.066 * [simplify]: Simplified to (- (log 1/2) (log (hypot 1 x))) 4.066 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (exp (- (log 1/2) (log (hypot 1 x)))) 1/2)))) 4.066 * * * * [progress]: [ 51 / 137 ] simplifiying candidate # 4.067 * * * * [progress]: [ 52 / 137 ] simplifiying candidate # 4.067 * * * * [progress]: [ 53 / 137 ] simplifiying candidate # 4.067 * [simplify]: Simplifying (/ (* (* 1/2 1/2) 1/2) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 4.067 * * [simplify]: iters left: 6 (9 enodes) 4.073 * * [simplify]: iters left: 5 (39 enodes) 4.081 * * [simplify]: iters left: 4 (84 enodes) 4.103 * * [simplify]: iters left: 3 (177 enodes) 4.166 * * [simplify]: iters left: 2 (274 enodes) 4.283 * * [simplify]: iters left: 1 (390 enodes) 4.454 * * [simplify]: Extracting #0: cost 1 inf + 0 4.454 * * [simplify]: Extracting #1: cost 54 inf + 0 4.455 * * [simplify]: Extracting #2: cost 112 inf + 3 4.455 * * [simplify]: Extracting #3: cost 98 inf + 1349 4.458 * * [simplify]: Extracting #4: cost 44 inf + 11645 4.461 * * [simplify]: Extracting #5: cost 5 inf + 28096 4.466 * * [simplify]: Extracting #6: cost 0 inf + 31060 4.470 * [simplify]: Simplified to (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))) 4.470 * [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)))) 4.471 * * * * [progress]: [ 54 / 137 ] simplifiying candidate # 4.471 * * * * [progress]: [ 55 / 137 ] simplifiying candidate # 4.471 * * * * [progress]: [ 56 / 137 ] simplifiying candidate # 4.471 * * * * [progress]: [ 57 / 137 ] simplifiying candidate # 4.471 * * * * [progress]: [ 58 / 137 ] simplifiying candidate # 4.471 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 4.471 * * [simplify]: iters left: 6 (9 enodes) 4.474 * * [simplify]: iters left: 5 (35 enodes) 4.480 * * [simplify]: iters left: 4 (52 enodes) 4.496 * * [simplify]: iters left: 3 (59 enodes) 4.514 * * [simplify]: iters left: 2 (62 enodes) 4.523 * * [simplify]: Extracting #0: cost 1 inf + 0 4.523 * * [simplify]: Extracting #1: cost 11 inf + 0 4.523 * * [simplify]: Extracting #2: cost 22 inf + 0 4.523 * * [simplify]: Extracting #3: cost 24 inf + 1 4.523 * * [simplify]: Extracting #4: cost 20 inf + 141 4.523 * * [simplify]: Extracting #5: cost 4 inf + 3413 4.524 * * [simplify]: Extracting #6: cost 0 inf + 4565 4.525 * [simplify]: Simplified to (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) 4.525 * [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)))) 4.525 * [simplify]: Simplifying (/ (cbrt 1/2) (cbrt (hypot 1 x))) 4.525 * * [simplify]: iters left: 4 (7 enodes) 4.527 * * [simplify]: iters left: 3 (23 enodes) 4.531 * * [simplify]: iters left: 2 (25 enodes) 4.535 * * [simplify]: Extracting #0: cost 1 inf + 0 4.535 * * [simplify]: Extracting #1: cost 4 inf + 0 4.535 * * [simplify]: Extracting #2: cost 8 inf + 0 4.535 * * [simplify]: Extracting #3: cost 10 inf + 1 4.535 * * [simplify]: Extracting #4: cost 6 inf + 165 4.535 * * [simplify]: Extracting #5: cost 2 inf + 674 4.535 * * [simplify]: Extracting #6: cost 0 inf + 1069 4.535 * [simplify]: Simplified to (/ (cbrt 1/2) (cbrt (hypot 1 x))) 4.535 * [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)))) 4.535 * * * * [progress]: [ 59 / 137 ] simplifiying candidate # 4.536 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 4.536 * * [simplify]: iters left: 5 (8 enodes) 4.538 * * [simplify]: iters left: 4 (28 enodes) 4.547 * * [simplify]: iters left: 3 (34 enodes) 4.558 * * [simplify]: iters left: 2 (37 enodes) 4.570 * * [simplify]: Extracting #0: cost 1 inf + 0 4.570 * * [simplify]: Extracting #1: cost 7 inf + 0 4.570 * * [simplify]: Extracting #2: cost 14 inf + 0 4.570 * * [simplify]: Extracting #3: cost 16 inf + 1 4.570 * * [simplify]: Extracting #4: cost 12 inf + 141 4.571 * * [simplify]: Extracting #5: cost 1 inf + 1885 4.571 * * [simplify]: Extracting #6: cost 0 inf + 2103 4.572 * [simplify]: Simplified to (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) 4.572 * [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)))) 4.572 * [simplify]: Simplifying (/ (cbrt 1/2) (sqrt (hypot 1 x))) 4.573 * * [simplify]: iters left: 4 (7 enodes) 4.576 * * [simplify]: iters left: 3 (23 enodes) 4.580 * * [simplify]: iters left: 2 (25 enodes) 4.585 * * [simplify]: Extracting #0: cost 1 inf + 0 4.585 * * [simplify]: Extracting #1: cost 4 inf + 0 4.585 * * [simplify]: Extracting #2: cost 8 inf + 0 4.585 * * [simplify]: Extracting #3: cost 10 inf + 1 4.585 * * [simplify]: Extracting #4: cost 6 inf + 165 4.585 * * [simplify]: Extracting #5: cost 2 inf + 594 4.585 * * [simplify]: Extracting #6: cost 0 inf + 909 4.585 * [simplify]: Simplified to (/ (cbrt 1/2) (sqrt (hypot 1 x))) 4.585 * [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)))) 4.585 * * * * [progress]: [ 60 / 137 ] simplifiying candidate # 4.586 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 4.586 * * [simplify]: iters left: 5 (5 enodes) 4.588 * * [simplify]: iters left: 4 (17 enodes) 4.591 * * [simplify]: iters left: 3 (27 enodes) 4.595 * * [simplify]: iters left: 2 (28 enodes) 4.600 * * [simplify]: Extracting #0: cost 1 inf + 0 4.600 * * [simplify]: Extracting #1: cost 5 inf + 0 4.600 * * [simplify]: Extracting #2: cost 7 inf + 1 4.600 * * [simplify]: Extracting #3: cost 6 inf + 2 4.600 * * [simplify]: Extracting #4: cost 1 inf + 528 4.600 * * [simplify]: Extracting #5: cost 0 inf + 650 4.600 * [simplify]: Simplified to (* (cbrt 1/2) (cbrt 1/2)) 4.600 * [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)))) 4.600 * [simplify]: Simplifying (/ (cbrt 1/2) (hypot 1 x)) 4.600 * * [simplify]: iters left: 3 (6 enodes) 4.602 * * [simplify]: iters left: 2 (20 enodes) 4.608 * * [simplify]: iters left: 1 (22 enodes) 4.617 * * [simplify]: Extracting #0: cost 1 inf + 0 4.617 * * [simplify]: Extracting #1: cost 4 inf + 0 4.617 * * [simplify]: Extracting #2: cost 9 inf + 0 4.617 * * [simplify]: Extracting #3: cost 6 inf + 3 4.617 * * [simplify]: Extracting #4: cost 1 inf + 457 4.617 * * [simplify]: Extracting #5: cost 0 inf + 635 4.618 * [simplify]: Simplified to (/ (cbrt 1/2) (hypot 1 x)) 4.618 * [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)))) 4.618 * * * * [progress]: [ 61 / 137 ] simplifiying candidate # 4.618 * [simplify]: Simplifying (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 4.618 * * [simplify]: iters left: 6 (8 enodes) 4.621 * * [simplify]: iters left: 5 (28 enodes) 4.626 * * [simplify]: iters left: 4 (32 enodes) 4.631 * * [simplify]: Extracting #0: cost 1 inf + 0 4.631 * * [simplify]: Extracting #1: cost 6 inf + 0 4.631 * * [simplify]: Extracting #2: cost 12 inf + 0 4.631 * * [simplify]: Extracting #3: cost 14 inf + 1 4.631 * * [simplify]: Extracting #4: cost 11 inf + 44 4.631 * * [simplify]: Extracting #5: cost 7 inf + 336 4.631 * * [simplify]: Extracting #6: cost 0 inf + 1779 4.632 * [simplify]: Simplified to (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) 4.632 * [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)))) 4.632 * [simplify]: Simplifying (/ (sqrt 1/2) (cbrt (hypot 1 x))) 4.632 * * [simplify]: iters left: 4 (7 enodes) 4.634 * * [simplify]: iters left: 3 (23 enodes) 4.638 * * [simplify]: iters left: 2 (25 enodes) 4.642 * * [simplify]: Extracting #0: cost 1 inf + 0 4.642 * * [simplify]: Extracting #1: cost 4 inf + 0 4.642 * * [simplify]: Extracting #2: cost 8 inf + 0 4.642 * * [simplify]: Extracting #3: cost 10 inf + 1 4.643 * * [simplify]: Extracting #4: cost 6 inf + 85 4.643 * * [simplify]: Extracting #5: cost 2 inf + 554 4.643 * * [simplify]: Extracting #6: cost 0 inf + 909 4.643 * [simplify]: Simplified to (/ (sqrt 1/2) (cbrt (hypot 1 x))) 4.643 * [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)))) 4.643 * * * * [progress]: [ 62 / 137 ] simplifiying candidate # 4.643 * [simplify]: Simplifying (/ (sqrt 1/2) (sqrt (hypot 1 x))) 4.643 * * [simplify]: iters left: 4 (7 enodes) 4.645 * * [simplify]: iters left: 3 (23 enodes) 4.650 * * [simplify]: iters left: 2 (25 enodes) 4.655 * * [simplify]: Extracting #0: cost 1 inf + 0 4.655 * * [simplify]: Extracting #1: cost 4 inf + 0 4.656 * * [simplify]: Extracting #2: cost 8 inf + 0 4.656 * * [simplify]: Extracting #3: cost 10 inf + 1 4.656 * * [simplify]: Extracting #4: cost 6 inf + 85 4.656 * * [simplify]: Extracting #5: cost 2 inf + 474 4.656 * * [simplify]: Extracting #6: cost 0 inf + 749 4.656 * [simplify]: Simplified to (/ (sqrt 1/2) (sqrt (hypot 1 x))) 4.656 * [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)))) 4.657 * [simplify]: Simplifying (/ (sqrt 1/2) (sqrt (hypot 1 x))) 4.657 * * [simplify]: iters left: 4 (7 enodes) 4.661 * * [simplify]: iters left: 3 (23 enodes) 4.669 * * [simplify]: iters left: 2 (25 enodes) 4.677 * * [simplify]: Extracting #0: cost 1 inf + 0 4.677 * * [simplify]: Extracting #1: cost 4 inf + 0 4.677 * * [simplify]: Extracting #2: cost 8 inf + 0 4.677 * * [simplify]: Extracting #3: cost 10 inf + 1 4.677 * * [simplify]: Extracting #4: cost 6 inf + 85 4.677 * * [simplify]: Extracting #5: cost 2 inf + 474 4.677 * * [simplify]: Extracting #6: cost 0 inf + 749 4.678 * [simplify]: Simplified to (/ (sqrt 1/2) (sqrt (hypot 1 x))) 4.678 * [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)))) 4.678 * * * * [progress]: [ 63 / 137 ] simplifiying candidate # 4.678 * [simplify]: Simplifying (/ (sqrt 1/2) 1) 4.678 * * [simplify]: iters left: 3 (4 enodes) 4.681 * * [simplify]: iters left: 2 (12 enodes) 4.686 * * [simplify]: iters left: 1 (14 enodes) 4.691 * * [simplify]: Extracting #0: cost 1 inf + 0 4.691 * * [simplify]: Extracting #1: cost 4 inf + 0 4.691 * * [simplify]: Extracting #2: cost 0 inf + 84 4.691 * [simplify]: Simplified to (sqrt 1/2) 4.691 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (* (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x))) 1/2)))) 4.691 * [simplify]: Simplifying (/ (sqrt 1/2) (hypot 1 x)) 4.691 * * [simplify]: iters left: 3 (6 enodes) 4.695 * * [simplify]: iters left: 2 (20 enodes) 4.702 * * [simplify]: iters left: 1 (22 enodes) 4.709 * * [simplify]: Extracting #0: cost 1 inf + 0 4.709 * * [simplify]: Extracting #1: cost 4 inf + 0 4.709 * * [simplify]: Extracting #2: cost 9 inf + 0 4.709 * * [simplify]: Extracting #3: cost 6 inf + 3 4.709 * * [simplify]: Extracting #4: cost 1 inf + 337 4.709 * * [simplify]: Extracting #5: cost 0 inf + 475 4.709 * [simplify]: Simplified to (/ (sqrt 1/2) (hypot 1 x)) 4.709 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (* (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x))) 1/2)))) 4.710 * * * * [progress]: [ 64 / 137 ] simplifiying candidate # 4.710 * [simplify]: Simplifying (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 4.710 * * [simplify]: iters left: 6 (6 enodes) 4.712 * * [simplify]: iters left: 5 (22 enodes) 4.716 * * [simplify]: iters left: 4 (26 enodes) 4.720 * * [simplify]: Extracting #0: cost 1 inf + 0 4.720 * * [simplify]: Extracting #1: cost 6 inf + 0 4.720 * * [simplify]: Extracting #2: cost 9 inf + 1 4.720 * * [simplify]: Extracting #3: cost 11 inf + 1 4.720 * * [simplify]: Extracting #4: cost 8 inf + 116 4.720 * * [simplify]: Extracting #5: cost 2 inf + 1138 4.720 * * [simplify]: Extracting #6: cost 0 inf + 1532 4.721 * [simplify]: Simplified to (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 4.721 * [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)))) 4.721 * [simplify]: Simplifying (/ 1/2 (cbrt (hypot 1 x))) 4.721 * * [simplify]: iters left: 4 (6 enodes) 4.723 * * [simplify]: iters left: 3 (20 enodes) 4.727 * * [simplify]: iters left: 2 (22 enodes) 4.731 * * [simplify]: Extracting #0: cost 1 inf + 0 4.731 * * [simplify]: Extracting #1: cost 4 inf + 0 4.731 * * [simplify]: Extracting #2: cost 5 inf + 1 4.731 * * [simplify]: Extracting #3: cost 8 inf + 1 4.731 * * [simplify]: Extracting #4: cost 6 inf + 3 4.731 * * [simplify]: Extracting #5: cost 1 inf + 569 4.731 * * [simplify]: Extracting #6: cost 0 inf + 747 4.731 * [simplify]: Simplified to (/ 1/2 (cbrt (hypot 1 x))) 4.731 * [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)))) 4.731 * * * * [progress]: [ 65 / 137 ] simplifiying candidate # 4.732 * [simplify]: Simplifying (/ 1 (sqrt (hypot 1 x))) 4.732 * * [simplify]: iters left: 4 (5 enodes) 4.733 * * [simplify]: iters left: 3 (17 enodes) 4.736 * * [simplify]: iters left: 2 (19 enodes) 4.739 * * [simplify]: Extracting #0: cost 1 inf + 0 4.739 * * [simplify]: Extracting #1: cost 4 inf + 0 4.739 * * [simplify]: Extracting #2: cost 5 inf + 1 4.739 * * [simplify]: Extracting #3: cost 7 inf + 1 4.739 * * [simplify]: Extracting #4: cost 0 inf + 584 4.739 * [simplify]: Simplified to (/ 1 (sqrt (hypot 1 x))) 4.739 * [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)))) 4.739 * [simplify]: Simplifying (/ 1/2 (sqrt (hypot 1 x))) 4.739 * * [simplify]: iters left: 4 (6 enodes) 4.742 * * [simplify]: iters left: 3 (20 enodes) 4.749 * * [simplify]: iters left: 2 (22 enodes) 4.754 * * [simplify]: Extracting #0: cost 1 inf + 0 4.754 * * [simplify]: Extracting #1: cost 4 inf + 0 4.754 * * [simplify]: Extracting #2: cost 5 inf + 1 4.754 * * [simplify]: Extracting #3: cost 8 inf + 1 4.754 * * [simplify]: Extracting #4: cost 6 inf + 3 4.754 * * [simplify]: Extracting #5: cost 1 inf + 449 4.754 * * [simplify]: Extracting #6: cost 0 inf + 587 4.754 * [simplify]: Simplified to (/ 1/2 (sqrt (hypot 1 x))) 4.754 * [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)))) 4.754 * * * * [progress]: [ 66 / 137 ] simplifiying candidate # 4.754 * [simplify]: Simplifying (/ 1 1) 4.754 * * [simplify]: iters left: 2 (2 enodes) 4.755 * * [simplify]: iters left: 1 (6 enodes) 4.756 * * [simplify]: Extracting #0: cost 1 inf + 0 4.756 * * [simplify]: Extracting #1: cost 0 inf + 1 4.756 * [simplify]: Simplified to 1 4.756 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (* 1 (/ 1/2 (hypot 1 x))) 1/2)))) 4.757 * [simplify]: Simplifying (/ 1/2 (hypot 1 x)) 4.757 * * [simplify]: iters left: 3 (5 enodes) 4.758 * * [simplify]: iters left: 2 (17 enodes) 4.761 * * [simplify]: iters left: 1 (19 enodes) 4.765 * * [simplify]: Extracting #0: cost 1 inf + 0 4.765 * * [simplify]: Extracting #1: cost 4 inf + 0 4.765 * * [simplify]: Extracting #2: cost 6 inf + 1 4.765 * * [simplify]: Extracting #3: cost 0 inf + 313 4.765 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 4.765 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (* 1 (/ 1/2 (hypot 1 x))) 1/2)))) 4.765 * * * * [progress]: [ 67 / 137 ] simplifiying candidate # 4.765 * * * * [progress]: [ 68 / 137 ] simplifiying candidate # 4.765 * * * * [progress]: [ 69 / 137 ] simplifiying candidate # 4.765 * * * * [progress]: [ 70 / 137 ] simplifiying candidate # 4.765 * [simplify]: Simplifying (cbrt (hypot 1 x)) 4.765 * * [simplify]: iters left: 2 (4 enodes) 4.766 * * [simplify]: iters left: 1 (14 enodes) 4.769 * * [simplify]: Extracting #0: cost 1 inf + 0 4.769 * * [simplify]: Extracting #1: cost 3 inf + 0 4.769 * * [simplify]: Extracting #2: cost 6 inf + 0 4.769 * * [simplify]: Extracting #3: cost 2 inf + 116 4.769 * * [simplify]: Extracting #4: cost 1 inf + 253 4.769 * * [simplify]: Extracting #5: cost 0 inf + 390 4.769 * [simplify]: Simplified to (cbrt (hypot 1 x)) 4.769 * [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)))) 4.769 * * * * [progress]: [ 71 / 137 ] simplifiying candidate # 4.769 * [simplify]: Simplifying (sqrt (hypot 1 x)) 4.769 * * [simplify]: iters left: 2 (4 enodes) 4.770 * * [simplify]: iters left: 1 (14 enodes) 4.773 * * [simplify]: Extracting #0: cost 1 inf + 0 4.773 * * [simplify]: Extracting #1: cost 3 inf + 0 4.773 * * [simplify]: Extracting #2: cost 6 inf + 0 4.773 * * [simplify]: Extracting #3: cost 2 inf + 116 4.773 * * [simplify]: Extracting #4: cost 1 inf + 213 4.773 * * [simplify]: Extracting #5: cost 0 inf + 310 4.773 * [simplify]: Simplified to (sqrt (hypot 1 x)) 4.773 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) 1/2)))) 4.773 * * * * [progress]: [ 72 / 137 ] simplifiying candidate # 4.773 * [simplify]: Simplifying (hypot 1 x) 4.773 * * [simplify]: iters left: 1 (3 enodes) 4.774 * * [simplify]: Extracting #0: cost 1 inf + 0 4.774 * * [simplify]: Extracting #1: cost 4 inf + 0 4.774 * * [simplify]: Extracting #2: cost 2 inf + 2 4.774 * * [simplify]: Extracting #3: cost 0 inf + 116 4.774 * [simplify]: Simplified to (hypot 1 x) 4.774 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (/ (/ 1/2 1) (hypot 1 x)) 1/2)))) 4.774 * * * * [progress]: [ 73 / 137 ] simplifiying candidate # 4.774 * [simplify]: Simplifying (* (cbrt 1/2) (cbrt 1/2)) 4.775 * * [simplify]: iters left: 3 (3 enodes) 4.776 * * [simplify]: iters left: 2 (9 enodes) 4.778 * * [simplify]: Extracting #0: cost 1 inf + 0 4.778 * * [simplify]: Extracting #1: cost 3 inf + 0 4.778 * * [simplify]: Extracting #2: cost 5 inf + 0 4.778 * * [simplify]: Extracting #3: cost 4 inf + 1 4.778 * * [simplify]: Extracting #4: cost 0 inf + 405 4.778 * [simplify]: Simplified to (* (cbrt 1/2) (cbrt 1/2)) 4.778 * [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)))) 4.778 * * * * [progress]: [ 74 / 137 ] simplifiying candidate # 4.778 * [simplify]: Simplifying (sqrt 1/2) 4.778 * * [simplify]: iters left: 1 (2 enodes) 4.779 * * [simplify]: Extracting #0: cost 1 inf + 0 4.779 * * [simplify]: Extracting #1: cost 3 inf + 0 4.780 * * [simplify]: Extracting #2: cost 2 inf + 1 4.780 * * [simplify]: Extracting #3: cost 0 inf + 83 4.780 * [simplify]: Simplified to (sqrt 1/2) 4.780 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (/ (sqrt 1/2) (/ (hypot 1 x) (sqrt 1/2))) 1/2)))) 4.780 * * * * [progress]: [ 75 / 137 ] simplifiying candidate # 4.780 * * * * [progress]: [ 76 / 137 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))) 1/2))))> 4.780 * * * * [progress]: [ 77 / 137 ] simplifiying candidate # 4.780 * * * * [progress]: [ 78 / 137 ] simplifiying candidate # 4.780 * * * * [progress]: [ 79 / 137 ] simplifiying candidate # 4.780 * [simplify]: Simplifying (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 4.780 * * [simplify]: iters left: 6 (7 enodes) 4.782 * * [simplify]: iters left: 5 (23 enodes) 4.788 * * [simplify]: iters left: 4 (25 enodes) 4.795 * * [simplify]: Extracting #0: cost 1 inf + 0 4.795 * * [simplify]: Extracting #1: cost 3 inf + 0 4.795 * * [simplify]: Extracting #2: cost 5 inf + 0 4.795 * * [simplify]: Extracting #3: cost 8 inf + 0 4.796 * * [simplify]: Extracting #4: cost 10 inf + 1 4.796 * * [simplify]: Extracting #5: cost 6 inf + 117 4.796 * * [simplify]: Extracting #6: cost 2 inf + 709 4.796 * * [simplify]: Extracting #7: cost 0 inf + 1105 4.796 * [simplify]: Simplified to (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 4.796 * [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)))) 4.796 * * * * [progress]: [ 80 / 137 ] simplifiying candidate # 4.796 * [simplify]: Simplifying (sqrt (/ 1/2 (hypot 1 x))) 4.796 * * [simplify]: iters left: 4 (6 enodes) 4.798 * * [simplify]: iters left: 3 (20 enodes) 4.802 * * [simplify]: iters left: 2 (22 enodes) 4.805 * * [simplify]: Extracting #0: cost 1 inf + 0 4.805 * * [simplify]: Extracting #1: cost 3 inf + 0 4.805 * * [simplify]: Extracting #2: cost 6 inf + 0 4.805 * * [simplify]: Extracting #3: cost 8 inf + 1 4.805 * * [simplify]: Extracting #4: cost 6 inf + 3 4.805 * * [simplify]: Extracting #5: cost 1 inf + 451 4.805 * * [simplify]: Extracting #6: cost 0 inf + 589 4.806 * [simplify]: Simplified to (sqrt (/ 1/2 (hypot 1 x))) 4.806 * [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)))) 4.806 * * * * [progress]: [ 81 / 137 ] simplifiying candidate # 4.806 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 4.806 * * [simplify]: iters left: 6 (9 enodes) 4.809 * * [simplify]: iters left: 5 (35 enodes) 4.815 * * [simplify]: iters left: 4 (52 enodes) 4.825 * * [simplify]: iters left: 3 (59 enodes) 4.838 * * [simplify]: iters left: 2 (62 enodes) 4.855 * * [simplify]: Extracting #0: cost 1 inf + 0 4.855 * * [simplify]: Extracting #1: cost 11 inf + 0 4.855 * * [simplify]: Extracting #2: cost 22 inf + 0 4.855 * * [simplify]: Extracting #3: cost 24 inf + 1 4.856 * * [simplify]: Extracting #4: cost 20 inf + 141 4.856 * * [simplify]: Extracting #5: cost 4 inf + 3413 4.857 * * [simplify]: Extracting #6: cost 0 inf + 4565 4.858 * [simplify]: Simplified to (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) 4.858 * [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)))) 4.859 * * * * [progress]: [ 82 / 137 ] simplifiying candidate # 4.859 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 4.859 * * [simplify]: iters left: 5 (8 enodes) 4.864 * * [simplify]: iters left: 4 (28 enodes) 4.873 * * [simplify]: iters left: 3 (34 enodes) 4.883 * * [simplify]: iters left: 2 (37 enodes) 4.894 * * [simplify]: Extracting #0: cost 1 inf + 0 4.894 * * [simplify]: Extracting #1: cost 7 inf + 0 4.894 * * [simplify]: Extracting #2: cost 14 inf + 0 4.894 * * [simplify]: Extracting #3: cost 16 inf + 1 4.894 * * [simplify]: Extracting #4: cost 12 inf + 141 4.895 * * [simplify]: Extracting #5: cost 1 inf + 1885 4.895 * * [simplify]: Extracting #6: cost 0 inf + 2103 4.896 * [simplify]: Simplified to (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) 4.896 * [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)))) 4.896 * * * * [progress]: [ 83 / 137 ] simplifiying candidate # 4.897 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 4.897 * * [simplify]: iters left: 5 (5 enodes) 4.900 * * [simplify]: iters left: 4 (17 enodes) 4.907 * * [simplify]: iters left: 3 (27 enodes) 4.916 * * [simplify]: iters left: 2 (28 enodes) 4.924 * * [simplify]: Extracting #0: cost 1 inf + 0 4.924 * * [simplify]: Extracting #1: cost 5 inf + 0 4.925 * * [simplify]: Extracting #2: cost 7 inf + 1 4.925 * * [simplify]: Extracting #3: cost 6 inf + 2 4.925 * * [simplify]: Extracting #4: cost 1 inf + 528 4.925 * * [simplify]: Extracting #5: cost 0 inf + 650 4.925 * [simplify]: Simplified to (* (cbrt 1/2) (cbrt 1/2)) 4.925 * [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)))) 4.926 * * * * [progress]: [ 84 / 137 ] simplifiying candidate # 4.926 * [simplify]: Simplifying (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 4.926 * * [simplify]: iters left: 6 (8 enodes) 4.931 * * [simplify]: iters left: 5 (28 enodes) 4.940 * * [simplify]: iters left: 4 (32 enodes) 4.947 * * [simplify]: Extracting #0: cost 1 inf + 0 4.947 * * [simplify]: Extracting #1: cost 6 inf + 0 4.947 * * [simplify]: Extracting #2: cost 12 inf + 0 4.947 * * [simplify]: Extracting #3: cost 14 inf + 1 4.947 * * [simplify]: Extracting #4: cost 11 inf + 44 4.947 * * [simplify]: Extracting #5: cost 7 inf + 336 4.948 * * [simplify]: Extracting #6: cost 0 inf + 1779 4.948 * [simplify]: Simplified to (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) 4.948 * [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)))) 4.948 * * * * [progress]: [ 85 / 137 ] simplifiying candidate # 4.948 * [simplify]: Simplifying (/ (sqrt 1/2) (sqrt (hypot 1 x))) 4.948 * * [simplify]: iters left: 4 (7 enodes) 4.950 * * [simplify]: iters left: 3 (23 enodes) 4.955 * * [simplify]: iters left: 2 (25 enodes) 4.960 * * [simplify]: Extracting #0: cost 1 inf + 0 4.960 * * [simplify]: Extracting #1: cost 4 inf + 0 4.960 * * [simplify]: Extracting #2: cost 8 inf + 0 4.960 * * [simplify]: Extracting #3: cost 10 inf + 1 4.960 * * [simplify]: Extracting #4: cost 6 inf + 85 4.960 * * [simplify]: Extracting #5: cost 2 inf + 474 4.961 * * [simplify]: Extracting #6: cost 0 inf + 749 4.961 * [simplify]: Simplified to (/ (sqrt 1/2) (sqrt (hypot 1 x))) 4.961 * [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)))) 4.961 * * * * [progress]: [ 86 / 137 ] simplifiying candidate # 4.961 * [simplify]: Simplifying (/ (sqrt 1/2) 1) 4.961 * * [simplify]: iters left: 3 (4 enodes) 4.963 * * [simplify]: iters left: 2 (12 enodes) 4.965 * * [simplify]: iters left: 1 (14 enodes) 4.969 * * [simplify]: Extracting #0: cost 1 inf + 0 4.969 * * [simplify]: Extracting #1: cost 4 inf + 0 4.969 * * [simplify]: Extracting #2: cost 0 inf + 84 4.969 * [simplify]: Simplified to (sqrt 1/2) 4.969 * [simplify]: Simplified (2 2 1 1) to (λ (x) (- 1 (sqrt (fma (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)) 1/2)))) 4.969 * * * * [progress]: [ 87 / 137 ] simplifiying candidate # 4.970 * [simplify]: Simplifying (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 4.970 * * [simplify]: iters left: 6 (6 enodes) 4.973 * * [simplify]: iters left: 5 (22 enodes) 4.980 * * [simplify]: iters left: 4 (26 enodes) 4.988 * * [simplify]: Extracting #0: cost 1 inf + 0 4.988 * * [simplify]: Extracting #1: cost 6 inf + 0 4.988 * * [simplify]: Extracting #2: cost 9 inf + 1 4.988 * * [simplify]: Extracting #3: cost 11 inf + 1 4.988 * * [simplify]: Extracting #4: cost 8 inf + 116 4.988 * * [simplify]: Extracting #5: cost 2 inf + 1138 4.988 * * [simplify]: Extracting #6: cost 0 inf + 1532 4.988 * [simplify]: Simplified to (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 4.988 * [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)))) 4.989 * * * * [progress]: [ 88 / 137 ] simplifiying candidate # 4.989 * [simplify]: Simplifying (/ 1 (sqrt (hypot 1 x))) 4.989 * * [simplify]: iters left: 4 (5 enodes) 4.990 * * [simplify]: iters left: 3 (17 enodes) 4.993 * * [simplify]: iters left: 2 (19 enodes) 4.996 * * [simplify]: Extracting #0: cost 1 inf + 0 4.996 * * [simplify]: Extracting #1: cost 4 inf + 0 4.996 * * [simplify]: Extracting #2: cost 5 inf + 1 4.996 * * [simplify]: Extracting #3: cost 7 inf + 1 4.997 * * [simplify]: Extracting #4: cost 0 inf + 584 4.997 * [simplify]: Simplified to (/ 1 (sqrt (hypot 1 x))) 4.997 * [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)))) 4.997 * * * * [progress]: [ 89 / 137 ] simplifiying candidate # 4.998 * [simplify]: Simplifying (/ 1 1) 4.998 * * [simplify]: iters left: 2 (2 enodes) 4.999 * * [simplify]: iters left: 1 (6 enodes) 5.000 * * [simplify]: Extracting #0: cost 1 inf + 0 5.000 * * [simplify]: Extracting #1: cost 0 inf + 1 5.000 * [simplify]: Simplified to 1 5.000 * [simplify]: Simplified (2 2 1 1) to (λ (x) (- 1 (sqrt (fma 1 (/ 1/2 (hypot 1 x)) 1/2)))) 5.000 * * * * [progress]: [ 90 / 137 ] simplifiying candidate # 5.000 * * * * [progress]: [ 91 / 137 ] simplifiying candidate # 5.000 * * * * [progress]: [ 92 / 137 ] simplifiying candidate # 5.000 * [simplify]: Simplifying (* (exp (/ 1/2 (hypot 1 x))) (exp 1/2)) 5.000 * * [simplify]: iters left: 6 (8 enodes) 5.003 * * [simplify]: iters left: 5 (29 enodes) 5.008 * * [simplify]: iters left: 4 (35 enodes) 5.013 * * [simplify]: Extracting #0: cost 1 inf + 0 5.014 * * [simplify]: Extracting #1: cost 5 inf + 0 5.014 * * [simplify]: Extracting #2: cost 10 inf + 0 5.014 * * [simplify]: Extracting #3: cost 11 inf + 1 5.014 * * [simplify]: Extracting #4: cost 12 inf + 143 5.014 * * [simplify]: Extracting #5: cost 10 inf + 145 5.014 * * [simplify]: Extracting #6: cost 9 inf + 202 5.014 * * [simplify]: Extracting #7: cost 1 inf + 1315 5.014 * * [simplify]: Extracting #8: cost 0 inf + 1483 5.014 * [simplify]: Simplified to (exp (+ 1/2 (/ 1/2 (hypot 1 x)))) 5.015 * [simplify]: Simplified (2 2 1 1) to (λ (x) (- 1 (sqrt (log (exp (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 5.015 * * * * [progress]: [ 93 / 137 ] simplifiying candidate # 5.015 * * * * [progress]: [ 94 / 137 ] simplifiying candidate # 5.015 * * * * [progress]: [ 95 / 137 ] simplifiying candidate # 5.015 * * * * [progress]: [ 96 / 137 ] simplifiying candidate # 5.015 * * * * [progress]: [ 97 / 137 ] simplifiying candidate # 5.015 * * * * [progress]: [ 98 / 137 ] simplifiying candidate # 5.015 * * * * [progress]: [ 99 / 137 ] simplifiying candidate # 5.015 * * * * [progress]: [ 100 / 137 ] simplifiying candidate # 5.015 * * * * [progress]: [ 101 / 137 ] simplifiying candidate # 5.015 * * * * [progress]: [ 102 / 137 ] simplifiying candidate # 5.015 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 5.015 * * [simplify]: iters left: 5 (6 enodes) 5.017 * * [simplify]: iters left: 4 (21 enodes) 5.021 * * [simplify]: iters left: 3 (23 enodes) 5.024 * * [simplify]: Extracting #0: cost 1 inf + 0 5.024 * * [simplify]: Extracting #1: cost 4 inf + 0 5.024 * * [simplify]: Extracting #2: cost 5 inf + 1 5.024 * * [simplify]: Extracting #3: cost 8 inf + 1 5.024 * * [simplify]: Extracting #4: cost 6 inf + 3 5.024 * * [simplify]: Extracting #5: cost 0 inf + 589 5.025 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 5.025 * [simplify]: Simplified (2 2 1 2) to (λ (x) (- 1 (sqrt (* 1 (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.025 * * * * [progress]: [ 103 / 137 ] simplifiying candidate #real (real->posit16 (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 5.025 * * * * [progress]: [ 104 / 137 ] simplifiying candidate # 5.025 * * * * [progress]: [ 105 / 137 ] simplifiying candidate # 5.025 * * * * [progress]: [ 106 / 137 ] simplifiying candidate # 5.025 * * * * [progress]: [ 107 / 137 ] simplifiying candidate # 5.025 * [simplify]: Simplifying (sqrt (/ 1/2 (hypot 1 x))) 5.025 * * [simplify]: iters left: 4 (6 enodes) 5.027 * * [simplify]: iters left: 3 (20 enodes) 5.030 * * [simplify]: iters left: 2 (22 enodes) 5.033 * * [simplify]: Extracting #0: cost 1 inf + 0 5.033 * * [simplify]: Extracting #1: cost 3 inf + 0 5.033 * * [simplify]: Extracting #2: cost 6 inf + 0 5.033 * * [simplify]: Extracting #3: cost 8 inf + 1 5.034 * * [simplify]: Extracting #4: cost 6 inf + 3 5.034 * * [simplify]: Extracting #5: cost 1 inf + 451 5.034 * * [simplify]: Extracting #6: cost 0 inf + 589 5.034 * [simplify]: Simplified to (sqrt (/ 1/2 (hypot 1 x))) 5.034 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))) 5.034 * * * * [progress]: [ 108 / 137 ] simplifiying candidate # 5.034 * [simplify]: Simplifying (/ (sqrt 1/2) (sqrt (hypot 1 x))) 5.034 * * [simplify]: iters left: 4 (7 enodes) 5.036 * * [simplify]: iters left: 3 (23 enodes) 5.040 * * [simplify]: iters left: 2 (25 enodes) 5.044 * * [simplify]: Extracting #0: cost 1 inf + 0 5.045 * * [simplify]: Extracting #1: cost 4 inf + 0 5.045 * * [simplify]: Extracting #2: cost 8 inf + 0 5.045 * * [simplify]: Extracting #3: cost 10 inf + 1 5.045 * * [simplify]: Extracting #4: cost 6 inf + 85 5.045 * * [simplify]: Extracting #5: cost 2 inf + 474 5.045 * * [simplify]: Extracting #6: cost 0 inf + 749 5.045 * [simplify]: Simplified to (/ (sqrt 1/2) (sqrt (hypot 1 x))) 5.046 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (hypot (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1/2)))) 5.046 * * * * [progress]: [ 109 / 137 ] simplifiying candidate # 5.046 * * * * [progress]: [ 110 / 137 ] simplifiying candidate # 5.046 * * * * [progress]: [ 111 / 137 ] simplifiying candidate # 5.046 * * * * [progress]: [ 112 / 137 ] simplifiying candidate # 5.046 * * * * [progress]: [ 113 / 137 ] simplifiying candidate # 5.046 * * * * [progress]: [ 114 / 137 ] simplifiying candidate # 5.046 * * * * [progress]: [ 115 / 137 ] simplifiying candidate # 5.046 * [simplify]: Simplifying (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 5.046 * * [simplify]: iters left: 6 (9 enodes) 5.051 * * [simplify]: iters left: 5 (31 enodes) 5.063 * * [simplify]: iters left: 4 (33 enodes) 5.073 * * [simplify]: Extracting #0: cost 1 inf + 0 5.073 * * [simplify]: Extracting #1: cost 4 inf + 0 5.073 * * [simplify]: Extracting #2: cost 7 inf + 0 5.073 * * [simplify]: Extracting #3: cost 10 inf + 0 5.073 * * [simplify]: Extracting #4: cost 11 inf + 1 5.073 * * [simplify]: Extracting #5: cost 14 inf + 1 5.073 * * [simplify]: Extracting #6: cost 11 inf + 60 5.073 * * [simplify]: Extracting #7: cost 7 inf + 451 5.074 * * [simplify]: Extracting #8: cost 0 inf + 2057 5.074 * [simplify]: Simplified to (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 5.074 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (* (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 5.075 * * * * [progress]: [ 116 / 137 ] simplifiying candidate # 5.075 * [simplify]: Simplifying (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 5.075 * * [simplify]: iters left: 6 (8 enodes) 5.079 * * [simplify]: iters left: 5 (27 enodes) 5.088 * * [simplify]: iters left: 4 (29 enodes) 5.096 * * [simplify]: Extracting #0: cost 1 inf + 0 5.096 * * [simplify]: Extracting #1: cost 3 inf + 0 5.096 * * [simplify]: Extracting #2: cost 5 inf + 0 5.096 * * [simplify]: Extracting #3: cost 8 inf + 0 5.096 * * [simplify]: Extracting #4: cost 9 inf + 1 5.097 * * [simplify]: Extracting #5: cost 12 inf + 1 5.097 * * [simplify]: Extracting #6: cost 9 inf + 60 5.097 * * [simplify]: Extracting #7: cost 5 inf + 451 5.097 * * [simplify]: Extracting #8: cost 1 inf + 1163 5.098 * * [simplify]: Extracting #9: cost 0 inf + 1381 5.098 * [simplify]: Simplified to (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 5.098 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 5.098 * * * * [progress]: [ 117 / 137 ] simplifiying candidate # 5.099 * [simplify]: Simplifying (sqrt 1) 5.099 * * [simplify]: iters left: 1 (2 enodes) 5.101 * * [simplify]: Extracting #0: cost 1 inf + 0 5.101 * * [simplify]: Extracting #1: cost 0 inf + 1 5.101 * [simplify]: Simplified to 1 5.101 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 5.101 * * * * [progress]: [ 118 / 137 ] simplifiying candidate # 5.101 * [simplify]: Simplifying (sqrt 1) 5.101 * * [simplify]: iters left: 1 (2 enodes) 5.103 * * [simplify]: Extracting #0: cost 1 inf + 0 5.103 * * [simplify]: Extracting #1: cost 0 inf + 1 5.103 * [simplify]: Simplified to 1 5.103 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 5.103 * * * * [progress]: [ 119 / 137 ] simplifiying candidate # 5.103 * [simplify]: Simplifying (sqrt (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3))) 5.103 * * [simplify]: iters left: 6 (10 enodes) 5.108 * * [simplify]: iters left: 5 (50 enodes) 5.119 * * [simplify]: iters left: 4 (95 enodes) 5.148 * * [simplify]: iters left: 3 (187 enodes) 5.201 * * [simplify]: iters left: 2 (322 enodes) 5.338 * * [simplify]: Extracting #0: cost 1 inf + 0 5.338 * * [simplify]: Extracting #1: cost 3 inf + 0 5.338 * * [simplify]: Extracting #2: cost 9 inf + 0 5.338 * * [simplify]: Extracting #3: cost 54 inf + 1 5.339 * * [simplify]: Extracting #4: cost 103 inf + 6 5.339 * * [simplify]: Extracting #5: cost 84 inf + 3199 5.342 * * [simplify]: Extracting #6: cost 14 inf + 27483 5.346 * * [simplify]: Extracting #7: cost 1 inf + 31543 5.353 * * [simplify]: Extracting #8: cost 0 inf + 32354 5.361 * [simplify]: Simplified to (sqrt (+ 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) 5.362 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (/ (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))))))) 5.362 * * * * [progress]: [ 120 / 137 ] simplifiying candidate # 5.362 * [simplify]: Simplifying (sqrt (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 1/2))) 5.362 * * [simplify]: iters left: 6 (9 enodes) 5.366 * * [simplify]: iters left: 5 (41 enodes) 5.377 * * [simplify]: iters left: 4 (67 enodes) 5.386 * * [simplify]: iters left: 3 (93 enodes) 5.409 * * [simplify]: iters left: 2 (146 enodes) 5.429 * * [simplify]: iters left: 1 (197 enodes) 5.488 * * [simplify]: Extracting #0: cost 1 inf + 0 5.488 * * [simplify]: Extracting #1: cost 3 inf + 0 5.489 * * [simplify]: Extracting #2: cost 27 inf + 0 5.489 * * [simplify]: Extracting #3: cost 52 inf + 4 5.490 * * [simplify]: Extracting #4: cost 61 inf + 4 5.490 * * [simplify]: Extracting #5: cost 59 inf + 6 5.492 * * [simplify]: Extracting #6: cost 33 inf + 3521 5.497 * * [simplify]: Extracting #7: cost 0 inf + 9373 5.502 * * [simplify]: Extracting #8: cost 0 inf + 9341 5.508 * [simplify]: Simplified to (sqrt (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4)) 5.508 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (/ (sqrt (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4)) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2))))) 5.508 * * * * [progress]: [ 121 / 137 ] simplifiying candidate # 5.509 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 5.509 * * [simplify]: iters left: 5 (6 enodes) 5.512 * * [simplify]: iters left: 4 (21 enodes) 5.516 * * [simplify]: iters left: 3 (23 enodes) 5.520 * * [simplify]: Extracting #0: cost 1 inf + 0 5.520 * * [simplify]: Extracting #1: cost 4 inf + 0 5.520 * * [simplify]: Extracting #2: cost 5 inf + 1 5.520 * * [simplify]: Extracting #3: cost 8 inf + 1 5.520 * * [simplify]: Extracting #4: cost 6 inf + 3 5.520 * * [simplify]: Extracting #5: cost 0 inf + 589 5.520 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 5.520 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (pow (+ 1/2 (/ 1/2 (hypot 1 x))) (/ 1 2)))) 5.520 * * * * [progress]: [ 122 / 137 ] simplifiying candidate # 5.521 * * * * [progress]: [ 123 / 137 ] simplifiying candidate # 5.521 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 5.521 * * [simplify]: iters left: 6 (7 enodes) 5.523 * * [simplify]: iters left: 5 (24 enodes) 5.527 * * [simplify]: iters left: 4 (26 enodes) 5.531 * * [simplify]: Extracting #0: cost 1 inf + 0 5.531 * * [simplify]: Extracting #1: cost 3 inf + 0 5.531 * * [simplify]: Extracting #2: cost 6 inf + 0 5.531 * * [simplify]: Extracting #3: cost 7 inf + 1 5.531 * * [simplify]: Extracting #4: cost 10 inf + 1 5.531 * * [simplify]: Extracting #5: cost 6 inf + 117 5.531 * * [simplify]: Extracting #6: cost 2 inf + 629 5.532 * * [simplify]: Extracting #7: cost 0 inf + 945 5.532 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 5.532 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (fabs (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.532 * * * * [progress]: [ 124 / 137 ] simplifiying candidate # 5.532 * * * * [progress]: [ 125 / 137 ] simplifiying candidate #real (real->posit16 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 5.532 * * * * [progress]: [ 126 / 137 ] simplifiying candidate # 5.532 * [simplify]: Simplifying (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) 5.532 * * [simplify]: iters left: 6 (15 enodes) 5.538 * * [simplify]: iters left: 5 (66 enodes) 5.554 * * [simplify]: iters left: 4 (120 enodes) 5.599 * * [simplify]: iters left: 3 (213 enodes) 5.656 * * [simplify]: iters left: 2 (426 enodes) 5.912 * * [simplify]: Extracting #0: cost 1 inf + 0 5.912 * * [simplify]: Extracting #1: cost 54 inf + 0 5.914 * * [simplify]: Extracting #2: cost 201 inf + 47 5.917 * * [simplify]: Extracting #3: cost 177 inf + 6069 5.929 * * [simplify]: Extracting #4: cost 72 inf + 21934 5.946 * * [simplify]: Extracting #5: cost 11 inf + 38553 5.964 * * [simplify]: Extracting #6: cost 0 inf + 42535 5.985 * [simplify]: Simplified to (* (* x x) (+ 1/8 (* (* x x) (- (* (* x x) 69/1024) 11/128)))) 5.986 * [simplify]: Simplified (2) to (λ (x) (* (* x x) (+ 1/8 (* (* x x) (- (* (* x x) 69/1024) 11/128))))) 5.986 * * * * [progress]: [ 127 / 137 ] simplifiying candidate # 5.986 * [simplify]: Simplifying (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) 1) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2))) 5.986 * * [simplify]: iters left: 6 (19 enodes) 6.000 * * [simplify]: iters left: 5 (92 enodes) 6.026 * * [simplify]: iters left: 4 (174 enodes) 6.074 * * [simplify]: iters left: 3 (419 enodes) 6.192 * * [simplify]: Extracting #0: cost 1 inf + 0 6.192 * * [simplify]: Extracting #1: cost 41 inf + 0 6.193 * * [simplify]: Extracting #2: cost 154 inf + 5 6.195 * * [simplify]: Extracting #3: cost 237 inf + 459 6.202 * * [simplify]: Extracting #4: cost 149 inf + 12000 6.219 * * [simplify]: Extracting #5: cost 37 inf + 44568 6.236 * * [simplify]: Extracting #6: cost 0 inf + 61438 6.250 * [simplify]: Simplified to (- (- 1 (/ (/ 1/4 (sqrt 1/2)) x)) (- (sqrt 1/2) (/ 1/16 (* (sqrt 1/2) (* x x))))) 6.250 * [simplify]: Simplified (2) to (λ (x) (- (- 1 (/ (/ 1/4 (sqrt 1/2)) x)) (- (sqrt 1/2) (/ 1/16 (* (sqrt 1/2) (* x x)))))) 6.250 * * * * [progress]: [ 128 / 137 ] simplifiying candidate # 6.251 * [simplify]: Simplifying (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) 1)) (sqrt 1/2)) 6.251 * * [simplify]: iters left: 6 (19 enodes) 6.258 * * [simplify]: iters left: 5 (92 enodes) 6.277 * * [simplify]: iters left: 4 (174 enodes) 6.340 * * [simplify]: iters left: 3 (402 enodes) 6.490 * * [simplify]: Extracting #0: cost 1 inf + 0 6.490 * * [simplify]: Extracting #1: cost 29 inf + 0 6.490 * * [simplify]: Extracting #2: cost 132 inf + 4 6.491 * * [simplify]: Extracting #3: cost 210 inf + 782 6.495 * * [simplify]: Extracting #4: cost 101 inf + 22098 6.504 * * [simplify]: Extracting #5: cost 8 inf + 52521 6.521 * * [simplify]: Extracting #6: cost 0 inf + 55635 6.531 * [simplify]: Simplified to (+ (+ (/ (/ 1/4 x) (sqrt 1/2)) 1) (- (/ 1/16 (* (sqrt 1/2) (* x x))) (sqrt 1/2))) 6.531 * [simplify]: Simplified (2) to (λ (x) (+ (+ (/ (/ 1/4 x) (sqrt 1/2)) 1) (- (/ 1/16 (* (sqrt 1/2) (* x x))) (sqrt 1/2)))) 6.532 * * * * [progress]: [ 129 / 137 ] simplifiying candidate # 6.532 * [simplify]: Simplifying (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) 6.532 * * [simplify]: iters left: 6 (12 enodes) 6.539 * * [simplify]: iters left: 5 (52 enodes) 6.550 * * [simplify]: iters left: 4 (84 enodes) 6.576 * * [simplify]: iters left: 3 (128 enodes) 6.618 * * [simplify]: iters left: 2 (204 enodes) 6.683 * * [simplify]: iters left: 1 (296 enodes) 6.806 * * [simplify]: Extracting #0: cost 1 inf + 0 6.806 * * [simplify]: Extracting #1: cost 32 inf + 0 6.807 * * [simplify]: Extracting #2: cost 67 inf + 87 6.809 * * [simplify]: Extracting #3: cost 35 inf + 4190 6.816 * * [simplify]: Extracting #4: cost 1 inf + 8485 6.823 * * [simplify]: Extracting #5: cost 0 inf + 8602 6.830 * [simplify]: Simplified to (fma (* x x) -1/4 (fma 3/16 (* (* x x) (* x x)) 1/2)) 6.830 * [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)))) 6.830 * * * * [progress]: [ 130 / 137 ] simplifiying candidate # 6.830 * [simplify]: Simplifying (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) 6.830 * * [simplify]: iters left: 6 (17 enodes) 6.843 * * [simplify]: iters left: 5 (80 enodes) 6.876 * * [simplify]: iters left: 4 (151 enodes) 6.931 * * [simplify]: iters left: 3 (266 enodes) 6.993 * * [simplify]: iters left: 2 (471 enodes) 7.178 * * [simplify]: Extracting #0: cost 1 inf + 0 7.178 * * [simplify]: Extracting #1: cost 23 inf + 0 7.179 * * [simplify]: Extracting #2: cost 124 inf + 4 7.179 * * [simplify]: Extracting #3: cost 221 inf + 175 7.182 * * [simplify]: Extracting #4: cost 164 inf + 13710 7.191 * * [simplify]: Extracting #5: cost 49 inf + 58324 7.203 * * [simplify]: Extracting #6: cost 2 inf + 76934 7.212 * * [simplify]: Extracting #7: cost 0 inf + 77250 7.219 * [simplify]: Simplified to (- (+ (/ 3/16 (pow x 5)) (/ 1/2 x)) (/ (/ 1/4 x) (* x x))) 7.219 * [simplify]: Simplified (2 2 1 1) to (λ (x) (- 1 (sqrt (+ (- (+ (/ 3/16 (pow x 5)) (/ 1/2 x)) (/ (/ 1/4 x) (* x x))) 1/2)))) 7.220 * * * * [progress]: [ 131 / 137 ] simplifiying candidate # 7.220 * [simplify]: Simplifying (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) 7.220 * * [simplify]: iters left: 6 (17 enodes) 7.227 * * [simplify]: iters left: 5 (81 enodes) 7.257 * * [simplify]: iters left: 4 (143 enodes) 7.287 * * [simplify]: iters left: 3 (261 enodes) 7.369 * * [simplify]: iters left: 2 (465 enodes) 7.482 * * [simplify]: Extracting #0: cost 1 inf + 0 7.482 * * [simplify]: Extracting #1: cost 31 inf + 0 7.482 * * [simplify]: Extracting #2: cost 116 inf + 5 7.483 * * [simplify]: Extracting #3: cost 199 inf + 131 7.484 * * [simplify]: Extracting #4: cost 168 inf + 6510 7.488 * * [simplify]: Extracting #5: cost 88 inf + 33092 7.495 * * [simplify]: Extracting #6: cost 4 inf + 71221 7.503 * * [simplify]: Extracting #7: cost 0 inf + 73488 7.517 * [simplify]: Simplified to (- (/ -1/2 x) (- (/ 3/16 (pow x 5)) (/ (/ 1/4 x) (* x x)))) 7.518 * [simplify]: Simplified (2 2 1 1) to (λ (x) (- 1 (sqrt (+ (- (/ -1/2 x) (- (/ 3/16 (pow x 5)) (/ (/ 1/4 x) (* x x)))) 1/2)))) 7.518 * * * * [progress]: [ 132 / 137 ] simplifiying candidate # 7.518 * [simplify]: Simplifying (- (+ (* 3/16 (pow x 4)) 1) (* 1/4 (pow x 2))) 7.518 * * [simplify]: iters left: 6 (12 enodes) 7.527 * * [simplify]: iters left: 5 (53 enodes) 7.545 * * [simplify]: iters left: 4 (83 enodes) 7.575 * * [simplify]: iters left: 3 (124 enodes) 7.617 * * [simplify]: iters left: 2 (201 enodes) 7.678 * * [simplify]: iters left: 1 (292 enodes) 7.803 * * [simplify]: Extracting #0: cost 1 inf + 0 7.803 * * [simplify]: Extracting #1: cost 32 inf + 0 7.804 * * [simplify]: Extracting #2: cost 70 inf + 128 7.807 * * [simplify]: Extracting #3: cost 36 inf + 4995 7.816 * * [simplify]: Extracting #4: cost 1 inf + 9078 7.822 * * [simplify]: Extracting #5: cost 0 inf + 9050 7.829 * [simplify]: Simplified to (fma (* x x) (* (* x x) 3/16) (fma -1/4 (* x x) 1)) 7.829 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (sqrt (fma (* x x) (* (* x x) 3/16) (fma -1/4 (* x x) 1))))) 7.829 * * * * [progress]: [ 133 / 137 ] simplifiying candidate # 7.829 * [simplify]: Simplifying (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) 7.829 * * [simplify]: iters left: 6 (12 enodes) 7.835 * * [simplify]: iters left: 5 (58 enodes) 7.848 * * [simplify]: iters left: 4 (111 enodes) 7.869 * * [simplify]: iters left: 3 (189 enodes) 7.911 * * [simplify]: iters left: 2 (327 enodes) 8.009 * * [simplify]: Extracting #0: cost 1 inf + 0 8.009 * * [simplify]: Extracting #1: cost 19 inf + 0 8.009 * * [simplify]: Extracting #2: cost 87 inf + 3 8.010 * * [simplify]: Extracting #3: cost 133 inf + 1076 8.012 * * [simplify]: Extracting #4: cost 91 inf + 7135 8.015 * * [simplify]: Extracting #5: cost 48 inf + 22124 8.019 * * [simplify]: Extracting #6: cost 6 inf + 41539 8.024 * * [simplify]: Extracting #7: cost 0 inf + 43157 8.029 * [simplify]: Simplified to (+ (+ 1/2 (/ 1/2 x)) (/ (/ -1/4 (* x x)) x)) 8.029 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (sqrt (+ (+ 1/2 (/ 1/2 x)) (/ (/ -1/4 (* x x)) x))))) 8.029 * * * * [progress]: [ 134 / 137 ] simplifiying candidate # 8.029 * [simplify]: Simplifying (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) 8.029 * * [simplify]: iters left: 6 (12 enodes) 8.036 * * [simplify]: iters left: 5 (58 enodes) 8.058 * * [simplify]: iters left: 4 (109 enodes) 8.094 * * [simplify]: iters left: 3 (178 enodes) 8.129 * * [simplify]: iters left: 2 (276 enodes) 8.187 * * [simplify]: Extracting #0: cost 1 inf + 0 8.187 * * [simplify]: Extracting #1: cost 19 inf + 0 8.188 * * [simplify]: Extracting #2: cost 65 inf + 3 8.189 * * [simplify]: Extracting #3: cost 90 inf + 1686 8.192 * * [simplify]: Extracting #4: cost 66 inf + 5506 8.196 * * [simplify]: Extracting #5: cost 39 inf + 13993 8.199 * * [simplify]: Extracting #6: cost 20 inf + 20859 8.205 * * [simplify]: Extracting #7: cost 0 inf + 31508 8.208 * * [simplify]: Extracting #8: cost 0 inf + 31348 8.212 * [simplify]: Simplified to (+ (- 1/2 (/ 1/2 x)) (/ (/ 1/4 x) (* x x))) 8.212 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (sqrt (+ (- 1/2 (/ 1/2 x)) (/ (/ 1/4 x) (* x x)))))) 8.212 * * * * [progress]: [ 135 / 137 ] simplifiying candidate # 8.212 * [simplify]: Simplifying (- (+ (* 11/128 (pow x 4)) 1) (* 1/8 (pow x 2))) 8.212 * * [simplify]: iters left: 6 (12 enodes) 8.218 * * [simplify]: iters left: 5 (53 enodes) 8.231 * * [simplify]: iters left: 4 (83 enodes) 8.245 * * [simplify]: iters left: 3 (124 enodes) 8.266 * * [simplify]: iters left: 2 (201 enodes) 8.311 * * [simplify]: iters left: 1 (292 enodes) 8.395 * * [simplify]: Extracting #0: cost 1 inf + 0 8.395 * * [simplify]: Extracting #1: cost 32 inf + 0 8.396 * * [simplify]: Extracting #2: cost 70 inf + 128 8.399 * * [simplify]: Extracting #3: cost 36 inf + 4995 8.405 * * [simplify]: Extracting #4: cost 1 inf + 9078 8.412 * * [simplify]: Extracting #5: cost 0 inf + 9050 8.418 * [simplify]: Simplified to (fma (* x x) (* (* x x) 11/128) (fma -1/8 (* x x) 1)) 8.418 * [simplify]: Simplified (2 2) to (λ (x) (- 1 (fma (* x x) (* (* x x) 11/128) (fma -1/8 (* x x) 1)))) 8.418 * * * * [progress]: [ 136 / 137 ] simplifiying candidate # 8.419 * [simplify]: Simplifying (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) 8.419 * * [simplify]: iters left: 6 (18 enodes) 8.432 * * [simplify]: iters left: 5 (85 enodes) 8.464 * * [simplify]: iters left: 4 (158 enodes) 8.532 * * [simplify]: iters left: 3 (358 enodes) 8.655 * * [simplify]: Extracting #0: cost 1 inf + 0 8.656 * * [simplify]: Extracting #1: cost 16 inf + 0 8.656 * * [simplify]: Extracting #2: cost 166 inf + 3 8.657 * * [simplify]: Extracting #3: cost 253 inf + 993 8.661 * * [simplify]: Extracting #4: cost 175 inf + 11085 8.675 * * [simplify]: Extracting #5: cost 60 inf + 42865 8.699 * * [simplify]: Extracting #6: cost 17 inf + 59381 8.718 * * [simplify]: Extracting #7: cost 0 inf + 68082 8.739 * [simplify]: Simplified to (+ (sqrt 1/2) (+ (/ 1/4 (* (sqrt 1/2) x)) (/ -1/16 (* x (* (sqrt 1/2) x))))) 8.739 * [simplify]: Simplified (2 2) to (λ (x) (- 1 (+ (sqrt 1/2) (+ (/ 1/4 (* (sqrt 1/2) x)) (/ -1/16 (* x (* (sqrt 1/2) x))))))) 8.739 * * * * [progress]: [ 137 / 137 ] simplifiying candidate # 8.740 * [simplify]: Simplifying (- (sqrt 1/2) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 8.740 * * [simplify]: iters left: 6 (18 enodes) 8.751 * * [simplify]: iters left: 5 (85 enodes) 8.768 * * [simplify]: iters left: 4 (150 enodes) 8.802 * * [simplify]: iters left: 3 (360 enodes) 8.956 * * [simplify]: Extracting #0: cost 1 inf + 0 8.956 * * [simplify]: Extracting #1: cost 23 inf + 0 8.957 * * [simplify]: Extracting #2: cost 144 inf + 4 8.959 * * [simplify]: Extracting #3: cost 218 inf + 1890 8.967 * * [simplify]: Extracting #4: cost 109 inf + 20967 8.982 * * [simplify]: Extracting #5: cost 25 inf + 47257 8.991 * * [simplify]: Extracting #6: cost 5 inf + 55322 9.001 * * [simplify]: Extracting #7: cost 0 inf + 57725 9.015 * [simplify]: Simplified to (- (sqrt 1/2) (fma (/ (/ 2 (* (sqrt 1/2) x)) x) 1/32 (/ 1/4 (* (sqrt 1/2) x)))) 9.015 * [simplify]: Simplified (2 2) to (λ (x) (- 1 (- (sqrt 1/2) (fma (/ (/ 2 (* (sqrt 1/2) x)) x) 1/32 (/ 1/4 (* (sqrt 1/2) x)))))) 9.015 * * * [progress]: adding candidates to table 10.183 * * [progress]: iteration 2 / 4 10.183 * * * [progress]: picking best candidate 10.215 * * * * [pick]: Picked # 10.215 * * * [progress]: localizing error 10.271 * * * [progress]: generating rewritten candidates 10.271 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 10.310 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 10.380 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 10.400 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 10.536 * * * [progress]: generating series expansions 10.536 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 10.538 * [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)))) 10.538 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 10.538 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 10.538 * [taylor]: Taking taylor expansion of 1/2 in x 10.538 * [backup-simplify]: Simplify 1/2 into 1/2 10.538 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 10.538 * [taylor]: Taking taylor expansion of 1/2 in x 10.538 * [backup-simplify]: Simplify 1/2 into 1/2 10.538 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 10.538 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 10.538 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 10.538 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 10.538 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.538 * [taylor]: Taking taylor expansion of 1 in x 10.538 * [backup-simplify]: Simplify 1 into 1 10.538 * [taylor]: Taking taylor expansion of 1 in x 10.538 * [backup-simplify]: Simplify 1 into 1 10.538 * [taylor]: Taking taylor expansion of (* x x) in x 10.538 * [taylor]: Taking taylor expansion of x in x 10.538 * [backup-simplify]: Simplify 0 into 0 10.538 * [backup-simplify]: Simplify 1 into 1 10.538 * [taylor]: Taking taylor expansion of x in x 10.538 * [backup-simplify]: Simplify 0 into 0 10.538 * [backup-simplify]: Simplify 1 into 1 10.539 * [backup-simplify]: Simplify (* 1 1) into 1 10.539 * [backup-simplify]: Simplify (* 0 0) into 0 10.540 * [backup-simplify]: Simplify (+ 1 0) into 1 10.540 * [backup-simplify]: Simplify (sqrt 1) into 1 10.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.541 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.542 * [backup-simplify]: Simplify (+ 0 0) into 0 10.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.543 * [backup-simplify]: Simplify (/ 1 1) into 1 10.543 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 10.543 * [taylor]: Taking taylor expansion of 1/2 in x 10.543 * [backup-simplify]: Simplify 1/2 into 1/2 10.543 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 10.543 * [taylor]: Taking taylor expansion of 1/2 in x 10.543 * [backup-simplify]: Simplify 1/2 into 1/2 10.543 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 10.543 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 10.543 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 10.543 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 10.543 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.543 * [taylor]: Taking taylor expansion of 1 in x 10.543 * [backup-simplify]: Simplify 1 into 1 10.543 * [taylor]: Taking taylor expansion of 1 in x 10.543 * [backup-simplify]: Simplify 1 into 1 10.543 * [taylor]: Taking taylor expansion of (* x x) in x 10.543 * [taylor]: Taking taylor expansion of x in x 10.543 * [backup-simplify]: Simplify 0 into 0 10.543 * [backup-simplify]: Simplify 1 into 1 10.543 * [taylor]: Taking taylor expansion of x in x 10.543 * [backup-simplify]: Simplify 0 into 0 10.543 * [backup-simplify]: Simplify 1 into 1 10.544 * [backup-simplify]: Simplify (* 1 1) into 1 10.544 * [backup-simplify]: Simplify (* 0 0) into 0 10.545 * [backup-simplify]: Simplify (+ 1 0) into 1 10.545 * [backup-simplify]: Simplify (sqrt 1) into 1 10.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.547 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.547 * [backup-simplify]: Simplify (+ 0 0) into 0 10.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.548 * [backup-simplify]: Simplify (/ 1 1) into 1 10.549 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.549 * [backup-simplify]: Simplify (- 1/2) into -1/2 10.549 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 10.549 * [backup-simplify]: Simplify 0 into 0 10.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.551 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.551 * [backup-simplify]: Simplify (- 0) into 0 10.552 * [backup-simplify]: Simplify (+ 0 0) into 0 10.552 * [backup-simplify]: Simplify 0 into 0 10.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.553 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 10.554 * [backup-simplify]: Simplify (+ 0 1) into 1 10.555 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 10.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 10.557 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 10.558 * [backup-simplify]: Simplify (- -1/4) into 1/4 10.558 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 10.558 * [backup-simplify]: Simplify 1/4 into 1/4 10.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.560 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 10.560 * [backup-simplify]: Simplify (+ 0 0) into 0 10.562 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 10.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 10.565 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 10.565 * [backup-simplify]: Simplify (- 0) into 0 10.566 * [backup-simplify]: Simplify (+ 0 0) into 0 10.566 * [backup-simplify]: Simplify 0 into 0 10.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.568 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.569 * [backup-simplify]: Simplify (+ 0 0) into 0 10.570 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 10.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 10.573 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 10.574 * [backup-simplify]: Simplify (- 3/16) into -3/16 10.574 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 10.574 * [backup-simplify]: Simplify -3/16 into -3/16 10.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.577 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 10.577 * [backup-simplify]: Simplify (+ 0 0) into 0 10.579 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 10.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 10.584 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 10.584 * [backup-simplify]: Simplify (- 0) into 0 10.584 * [backup-simplify]: Simplify (+ 0 0) into 0 10.584 * [backup-simplify]: Simplify 0 into 0 10.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.588 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 10.588 * [backup-simplify]: Simplify (+ 0 0) into 0 10.590 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 10.593 * [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 10.596 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 10.597 * [backup-simplify]: Simplify (- -5/32) into 5/32 10.597 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 10.597 * [backup-simplify]: Simplify 5/32 into 5/32 10.598 * [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))) 10.598 * [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))))) 10.599 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 10.599 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 10.599 * [taylor]: Taking taylor expansion of 1/2 in x 10.599 * [backup-simplify]: Simplify 1/2 into 1/2 10.599 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 10.599 * [taylor]: Taking taylor expansion of 1/2 in x 10.599 * [backup-simplify]: Simplify 1/2 into 1/2 10.599 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 10.599 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 10.599 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 10.599 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 10.599 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.599 * [taylor]: Taking taylor expansion of 1 in x 10.599 * [backup-simplify]: Simplify 1 into 1 10.599 * [taylor]: Taking taylor expansion of 1 in x 10.599 * [backup-simplify]: Simplify 1 into 1 10.599 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.599 * [taylor]: Taking taylor expansion of x in x 10.599 * [backup-simplify]: Simplify 0 into 0 10.599 * [backup-simplify]: Simplify 1 into 1 10.600 * [backup-simplify]: Simplify (/ 1 1) into 1 10.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.600 * [taylor]: Taking taylor expansion of x in x 10.600 * [backup-simplify]: Simplify 0 into 0 10.600 * [backup-simplify]: Simplify 1 into 1 10.600 * [backup-simplify]: Simplify (/ 1 1) into 1 10.600 * [backup-simplify]: Simplify (* 1 1) into 1 10.601 * [backup-simplify]: Simplify (+ 0 1) into 1 10.601 * [backup-simplify]: Simplify (sqrt 1) into 1 10.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.604 * [backup-simplify]: Simplify (+ 0 0) into 0 10.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.605 * [backup-simplify]: Simplify (/ 1 1) into 1 10.605 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 10.605 * [taylor]: Taking taylor expansion of 1/2 in x 10.605 * [backup-simplify]: Simplify 1/2 into 1/2 10.605 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 10.605 * [taylor]: Taking taylor expansion of 1/2 in x 10.605 * [backup-simplify]: Simplify 1/2 into 1/2 10.605 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 10.605 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 10.605 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 10.605 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 10.605 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.606 * [taylor]: Taking taylor expansion of 1 in x 10.606 * [backup-simplify]: Simplify 1 into 1 10.606 * [taylor]: Taking taylor expansion of 1 in x 10.606 * [backup-simplify]: Simplify 1 into 1 10.606 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.606 * [taylor]: Taking taylor expansion of x in x 10.606 * [backup-simplify]: Simplify 0 into 0 10.606 * [backup-simplify]: Simplify 1 into 1 10.606 * [backup-simplify]: Simplify (/ 1 1) into 1 10.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.606 * [taylor]: Taking taylor expansion of x in x 10.606 * [backup-simplify]: Simplify 0 into 0 10.606 * [backup-simplify]: Simplify 1 into 1 10.607 * [backup-simplify]: Simplify (/ 1 1) into 1 10.607 * [backup-simplify]: Simplify (* 1 1) into 1 10.607 * [backup-simplify]: Simplify (+ 0 1) into 1 10.608 * [backup-simplify]: Simplify (sqrt 1) into 1 10.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.611 * [backup-simplify]: Simplify (+ 0 0) into 0 10.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.612 * [backup-simplify]: Simplify (/ 1 1) into 1 10.612 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.612 * [backup-simplify]: Simplify 1/2 into 1/2 10.613 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.613 * [backup-simplify]: Simplify (- 1/2) into -1/2 10.614 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 10.614 * [backup-simplify]: Simplify -1/2 into -1/2 10.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.615 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.616 * [backup-simplify]: Simplify (- 0) into 0 10.616 * [backup-simplify]: Simplify (+ 0 0) into 0 10.616 * [backup-simplify]: Simplify 0 into 0 10.616 * [backup-simplify]: Simplify (* 1 1) into 1 10.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.620 * [backup-simplify]: Simplify (+ 1 0) into 1 10.621 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 10.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 10.623 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 10.624 * [backup-simplify]: Simplify (- -1/4) into 1/4 10.624 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 10.624 * [backup-simplify]: Simplify 1/4 into 1/4 10.624 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) 1/2)) into (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) 10.625 * [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))))) 10.625 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 10.625 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 10.625 * [taylor]: Taking taylor expansion of 1/2 in x 10.625 * [backup-simplify]: Simplify 1/2 into 1/2 10.625 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 10.625 * [taylor]: Taking taylor expansion of 1/2 in x 10.625 * [backup-simplify]: Simplify 1/2 into 1/2 10.625 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 10.625 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 10.625 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 10.625 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 10.625 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.625 * [taylor]: Taking taylor expansion of 1 in x 10.626 * [backup-simplify]: Simplify 1 into 1 10.626 * [taylor]: Taking taylor expansion of 1 in x 10.626 * [backup-simplify]: Simplify 1 into 1 10.626 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 10.626 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.626 * [taylor]: Taking taylor expansion of -1 in x 10.626 * [backup-simplify]: Simplify -1 into -1 10.626 * [taylor]: Taking taylor expansion of x in x 10.626 * [backup-simplify]: Simplify 0 into 0 10.626 * [backup-simplify]: Simplify 1 into 1 10.626 * [backup-simplify]: Simplify (/ -1 1) into -1 10.626 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.626 * [taylor]: Taking taylor expansion of -1 in x 10.626 * [backup-simplify]: Simplify -1 into -1 10.626 * [taylor]: Taking taylor expansion of x in x 10.626 * [backup-simplify]: Simplify 0 into 0 10.626 * [backup-simplify]: Simplify 1 into 1 10.627 * [backup-simplify]: Simplify (/ -1 1) into -1 10.627 * [backup-simplify]: Simplify (* -1 -1) into 1 10.628 * [backup-simplify]: Simplify (+ 0 1) into 1 10.628 * [backup-simplify]: Simplify (sqrt 1) into 1 10.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.631 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.631 * [backup-simplify]: Simplify (+ 0 0) into 0 10.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.632 * [backup-simplify]: Simplify (/ 1 1) into 1 10.632 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 10.632 * [taylor]: Taking taylor expansion of 1/2 in x 10.632 * [backup-simplify]: Simplify 1/2 into 1/2 10.632 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 10.632 * [taylor]: Taking taylor expansion of 1/2 in x 10.632 * [backup-simplify]: Simplify 1/2 into 1/2 10.632 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 10.632 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 10.632 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 10.632 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 10.633 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.633 * [taylor]: Taking taylor expansion of 1 in x 10.633 * [backup-simplify]: Simplify 1 into 1 10.633 * [taylor]: Taking taylor expansion of 1 in x 10.633 * [backup-simplify]: Simplify 1 into 1 10.633 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 10.633 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.633 * [taylor]: Taking taylor expansion of -1 in x 10.633 * [backup-simplify]: Simplify -1 into -1 10.633 * [taylor]: Taking taylor expansion of x in x 10.633 * [backup-simplify]: Simplify 0 into 0 10.633 * [backup-simplify]: Simplify 1 into 1 10.633 * [backup-simplify]: Simplify (/ -1 1) into -1 10.633 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.633 * [taylor]: Taking taylor expansion of -1 in x 10.633 * [backup-simplify]: Simplify -1 into -1 10.633 * [taylor]: Taking taylor expansion of x in x 10.633 * [backup-simplify]: Simplify 0 into 0 10.633 * [backup-simplify]: Simplify 1 into 1 10.634 * [backup-simplify]: Simplify (/ -1 1) into -1 10.634 * [backup-simplify]: Simplify (* -1 -1) into 1 10.635 * [backup-simplify]: Simplify (+ 0 1) into 1 10.635 * [backup-simplify]: Simplify (sqrt 1) into 1 10.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.637 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.637 * [backup-simplify]: Simplify (+ 0 0) into 0 10.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.637 * [backup-simplify]: Simplify (/ 1 1) into 1 10.638 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.638 * [backup-simplify]: Simplify 1/2 into 1/2 10.638 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.638 * [backup-simplify]: Simplify (- 1/2) into -1/2 10.639 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 10.639 * [backup-simplify]: Simplify -1/2 into -1/2 10.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.640 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.640 * [backup-simplify]: Simplify (- 0) into 0 10.640 * [backup-simplify]: Simplify (+ 0 0) into 0 10.640 * [backup-simplify]: Simplify 0 into 0 10.640 * [backup-simplify]: Simplify (* 1 1) into 1 10.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.642 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 10.642 * [backup-simplify]: Simplify (+ 1 0) into 1 10.643 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 10.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 10.644 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 10.644 * [backup-simplify]: Simplify (- -1/4) into 1/4 10.645 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 10.645 * [backup-simplify]: Simplify 1/4 into 1/4 10.645 * [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)))) 10.645 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 10.645 * [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) 10.645 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in (x) around 0 10.645 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 10.645 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 10.645 * [taylor]: Taking taylor expansion of 1/2 in x 10.645 * [backup-simplify]: Simplify 1/2 into 1/2 10.645 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 10.645 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 10.645 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 10.645 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 10.645 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.645 * [taylor]: Taking taylor expansion of 1 in x 10.645 * [backup-simplify]: Simplify 1 into 1 10.645 * [taylor]: Taking taylor expansion of 1 in x 10.645 * [backup-simplify]: Simplify 1 into 1 10.645 * [taylor]: Taking taylor expansion of (* x x) in x 10.645 * [taylor]: Taking taylor expansion of x in x 10.645 * [backup-simplify]: Simplify 0 into 0 10.645 * [backup-simplify]: Simplify 1 into 1 10.645 * [taylor]: Taking taylor expansion of x in x 10.646 * [backup-simplify]: Simplify 0 into 0 10.646 * [backup-simplify]: Simplify 1 into 1 10.646 * [backup-simplify]: Simplify (* 1 1) into 1 10.646 * [backup-simplify]: Simplify (* 0 0) into 0 10.646 * [backup-simplify]: Simplify (+ 1 0) into 1 10.646 * [backup-simplify]: Simplify (sqrt 1) into 1 10.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.647 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.648 * [backup-simplify]: Simplify (+ 0 0) into 0 10.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.651 * [backup-simplify]: Simplify (/ 1 1) into 1 10.651 * [taylor]: Taking taylor expansion of 1/2 in x 10.651 * [backup-simplify]: Simplify 1/2 into 1/2 10.651 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 10.651 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 10.651 * [taylor]: Taking taylor expansion of 1/2 in x 10.651 * [backup-simplify]: Simplify 1/2 into 1/2 10.651 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 10.651 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 10.651 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 10.651 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 10.651 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.651 * [taylor]: Taking taylor expansion of 1 in x 10.651 * [backup-simplify]: Simplify 1 into 1 10.651 * [taylor]: Taking taylor expansion of 1 in x 10.651 * [backup-simplify]: Simplify 1 into 1 10.651 * [taylor]: Taking taylor expansion of (* x x) in x 10.651 * [taylor]: Taking taylor expansion of x in x 10.651 * [backup-simplify]: Simplify 0 into 0 10.651 * [backup-simplify]: Simplify 1 into 1 10.651 * [taylor]: Taking taylor expansion of x in x 10.651 * [backup-simplify]: Simplify 0 into 0 10.651 * [backup-simplify]: Simplify 1 into 1 10.651 * [backup-simplify]: Simplify (* 1 1) into 1 10.652 * [backup-simplify]: Simplify (* 0 0) into 0 10.652 * [backup-simplify]: Simplify (+ 1 0) into 1 10.652 * [backup-simplify]: Simplify (sqrt 1) into 1 10.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.653 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.653 * [backup-simplify]: Simplify (+ 0 0) into 0 10.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.654 * [backup-simplify]: Simplify (/ 1 1) into 1 10.654 * [taylor]: Taking taylor expansion of 1/2 in x 10.654 * [backup-simplify]: Simplify 1/2 into 1/2 10.654 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.654 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 10.655 * [backup-simplify]: Simplify 1 into 1 10.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.655 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.656 * [backup-simplify]: Simplify (+ 0 0) into 0 10.656 * [backup-simplify]: Simplify 0 into 0 10.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.657 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 10.657 * [backup-simplify]: Simplify (+ 0 1) into 1 10.657 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 10.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 10.659 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 10.659 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 10.659 * [backup-simplify]: Simplify -1/4 into -1/4 10.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.660 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 10.661 * [backup-simplify]: Simplify (+ 0 0) into 0 10.661 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 10.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 10.663 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 10.663 * [backup-simplify]: Simplify (+ 0 0) into 0 10.663 * [backup-simplify]: Simplify 0 into 0 10.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.665 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.666 * [backup-simplify]: Simplify (+ 0 0) into 0 10.667 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 10.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 10.671 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 10.672 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 10.672 * [backup-simplify]: Simplify 3/16 into 3/16 10.672 * [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))) 10.672 * [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) 10.672 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in (x) around 0 10.672 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 10.672 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 10.672 * [taylor]: Taking taylor expansion of 1/2 in x 10.672 * [backup-simplify]: Simplify 1/2 into 1/2 10.672 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 10.672 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 10.673 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 10.673 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 10.673 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.673 * [taylor]: Taking taylor expansion of 1 in x 10.673 * [backup-simplify]: Simplify 1 into 1 10.673 * [taylor]: Taking taylor expansion of 1 in x 10.673 * [backup-simplify]: Simplify 1 into 1 10.673 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.673 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.673 * [taylor]: Taking taylor expansion of x in x 10.673 * [backup-simplify]: Simplify 0 into 0 10.673 * [backup-simplify]: Simplify 1 into 1 10.673 * [backup-simplify]: Simplify (/ 1 1) into 1 10.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.674 * [taylor]: Taking taylor expansion of x in x 10.674 * [backup-simplify]: Simplify 0 into 0 10.674 * [backup-simplify]: Simplify 1 into 1 10.674 * [backup-simplify]: Simplify (/ 1 1) into 1 10.674 * [backup-simplify]: Simplify (* 1 1) into 1 10.675 * [backup-simplify]: Simplify (+ 0 1) into 1 10.675 * [backup-simplify]: Simplify (sqrt 1) into 1 10.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.678 * [backup-simplify]: Simplify (+ 0 0) into 0 10.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.679 * [backup-simplify]: Simplify (/ 1 1) into 1 10.679 * [taylor]: Taking taylor expansion of 1/2 in x 10.679 * [backup-simplify]: Simplify 1/2 into 1/2 10.679 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 10.679 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 10.679 * [taylor]: Taking taylor expansion of 1/2 in x 10.679 * [backup-simplify]: Simplify 1/2 into 1/2 10.679 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 10.679 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 10.679 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 10.679 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 10.680 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.680 * [taylor]: Taking taylor expansion of 1 in x 10.680 * [backup-simplify]: Simplify 1 into 1 10.680 * [taylor]: Taking taylor expansion of 1 in x 10.680 * [backup-simplify]: Simplify 1 into 1 10.680 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.680 * [taylor]: Taking taylor expansion of x in x 10.680 * [backup-simplify]: Simplify 0 into 0 10.680 * [backup-simplify]: Simplify 1 into 1 10.680 * [backup-simplify]: Simplify (/ 1 1) into 1 10.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.680 * [taylor]: Taking taylor expansion of x in x 10.680 * [backup-simplify]: Simplify 0 into 0 10.680 * [backup-simplify]: Simplify 1 into 1 10.681 * [backup-simplify]: Simplify (/ 1 1) into 1 10.681 * [backup-simplify]: Simplify (* 1 1) into 1 10.682 * [backup-simplify]: Simplify (+ 0 1) into 1 10.682 * [backup-simplify]: Simplify (sqrt 1) into 1 10.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.685 * [backup-simplify]: Simplify (+ 0 0) into 0 10.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.686 * [backup-simplify]: Simplify (/ 1 1) into 1 10.686 * [taylor]: Taking taylor expansion of 1/2 in x 10.686 * [backup-simplify]: Simplify 1/2 into 1/2 10.686 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.687 * [backup-simplify]: Simplify 1/2 into 1/2 10.687 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.687 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.687 * [backup-simplify]: Simplify 1/2 into 1/2 10.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.689 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.689 * [backup-simplify]: Simplify (+ 0 0) into 0 10.689 * [backup-simplify]: Simplify 0 into 0 10.690 * [backup-simplify]: Simplify (* 1 1) into 1 10.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.693 * [backup-simplify]: Simplify (+ 1 0) into 1 10.694 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 10.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 10.696 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 10.697 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 10.697 * [backup-simplify]: Simplify -1/4 into -1/4 10.697 * [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)))) 10.698 * [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) 10.698 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in (x) around 0 10.698 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 10.698 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 10.698 * [taylor]: Taking taylor expansion of 1/2 in x 10.698 * [backup-simplify]: Simplify 1/2 into 1/2 10.698 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 10.698 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 10.698 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 10.698 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 10.698 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.698 * [taylor]: Taking taylor expansion of 1 in x 10.698 * [backup-simplify]: Simplify 1 into 1 10.698 * [taylor]: Taking taylor expansion of 1 in x 10.698 * [backup-simplify]: Simplify 1 into 1 10.698 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 10.698 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.698 * [taylor]: Taking taylor expansion of -1 in x 10.698 * [backup-simplify]: Simplify -1 into -1 10.698 * [taylor]: Taking taylor expansion of x in x 10.698 * [backup-simplify]: Simplify 0 into 0 10.698 * [backup-simplify]: Simplify 1 into 1 10.699 * [backup-simplify]: Simplify (/ -1 1) into -1 10.699 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.699 * [taylor]: Taking taylor expansion of -1 in x 10.699 * [backup-simplify]: Simplify -1 into -1 10.699 * [taylor]: Taking taylor expansion of x in x 10.699 * [backup-simplify]: Simplify 0 into 0 10.699 * [backup-simplify]: Simplify 1 into 1 10.700 * [backup-simplify]: Simplify (/ -1 1) into -1 10.700 * [backup-simplify]: Simplify (* -1 -1) into 1 10.700 * [backup-simplify]: Simplify (+ 0 1) into 1 10.700 * [backup-simplify]: Simplify (sqrt 1) into 1 10.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.702 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.702 * [backup-simplify]: Simplify (+ 0 0) into 0 10.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.703 * [backup-simplify]: Simplify (/ 1 1) into 1 10.703 * [taylor]: Taking taylor expansion of 1/2 in x 10.703 * [backup-simplify]: Simplify 1/2 into 1/2 10.703 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 10.703 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 10.703 * [taylor]: Taking taylor expansion of 1/2 in x 10.703 * [backup-simplify]: Simplify 1/2 into 1/2 10.703 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 10.703 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 10.703 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 10.703 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 10.703 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.703 * [taylor]: Taking taylor expansion of 1 in x 10.703 * [backup-simplify]: Simplify 1 into 1 10.703 * [taylor]: Taking taylor expansion of 1 in x 10.703 * [backup-simplify]: Simplify 1 into 1 10.703 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 10.703 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.703 * [taylor]: Taking taylor expansion of -1 in x 10.703 * [backup-simplify]: Simplify -1 into -1 10.703 * [taylor]: Taking taylor expansion of x in x 10.703 * [backup-simplify]: Simplify 0 into 0 10.703 * [backup-simplify]: Simplify 1 into 1 10.703 * [backup-simplify]: Simplify (/ -1 1) into -1 10.703 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.703 * [taylor]: Taking taylor expansion of -1 in x 10.703 * [backup-simplify]: Simplify -1 into -1 10.703 * [taylor]: Taking taylor expansion of x in x 10.703 * [backup-simplify]: Simplify 0 into 0 10.703 * [backup-simplify]: Simplify 1 into 1 10.704 * [backup-simplify]: Simplify (/ -1 1) into -1 10.704 * [backup-simplify]: Simplify (* -1 -1) into 1 10.704 * [backup-simplify]: Simplify (+ 0 1) into 1 10.704 * [backup-simplify]: Simplify (sqrt 1) into 1 10.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.706 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.706 * [backup-simplify]: Simplify (+ 0 0) into 0 10.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.707 * [backup-simplify]: Simplify (/ 1 1) into 1 10.707 * [taylor]: Taking taylor expansion of 1/2 in x 10.707 * [backup-simplify]: Simplify 1/2 into 1/2 10.707 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.707 * [backup-simplify]: Simplify 1/2 into 1/2 10.707 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.708 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.708 * [backup-simplify]: Simplify 1/2 into 1/2 10.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.708 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.709 * [backup-simplify]: Simplify (+ 0 0) into 0 10.709 * [backup-simplify]: Simplify 0 into 0 10.709 * [backup-simplify]: Simplify (* 1 1) into 1 10.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.711 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 10.711 * [backup-simplify]: Simplify (+ 1 0) into 1 10.711 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 10.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 10.713 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 10.713 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 10.713 * [backup-simplify]: Simplify -1/4 into -1/4 10.713 * [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))) 10.713 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 10.713 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 10.713 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in (x) around 0 10.713 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 10.713 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 10.713 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 10.714 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 10.714 * [taylor]: Taking taylor expansion of 1/2 in x 10.714 * [backup-simplify]: Simplify 1/2 into 1/2 10.714 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 10.714 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 10.714 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 10.714 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 10.714 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.714 * [taylor]: Taking taylor expansion of 1 in x 10.714 * [backup-simplify]: Simplify 1 into 1 10.714 * [taylor]: Taking taylor expansion of 1 in x 10.714 * [backup-simplify]: Simplify 1 into 1 10.714 * [taylor]: Taking taylor expansion of (* x x) in x 10.714 * [taylor]: Taking taylor expansion of x in x 10.714 * [backup-simplify]: Simplify 0 into 0 10.714 * [backup-simplify]: Simplify 1 into 1 10.714 * [taylor]: Taking taylor expansion of x in x 10.714 * [backup-simplify]: Simplify 0 into 0 10.714 * [backup-simplify]: Simplify 1 into 1 10.714 * [backup-simplify]: Simplify (* 1 1) into 1 10.714 * [backup-simplify]: Simplify (* 0 0) into 0 10.715 * [backup-simplify]: Simplify (+ 1 0) into 1 10.715 * [backup-simplify]: Simplify (sqrt 1) into 1 10.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.716 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.716 * [backup-simplify]: Simplify (+ 0 0) into 0 10.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.716 * [backup-simplify]: Simplify (/ 1 1) into 1 10.716 * [taylor]: Taking taylor expansion of 1/2 in x 10.716 * [backup-simplify]: Simplify 1/2 into 1/2 10.717 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.717 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 10.717 * [backup-simplify]: Simplify (sqrt 1) into 1 10.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.718 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.718 * [backup-simplify]: Simplify (+ 0 0) into 0 10.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.719 * [taylor]: Taking taylor expansion of 1 in x 10.719 * [backup-simplify]: Simplify 1 into 1 10.719 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 10.719 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 10.719 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 10.719 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 10.719 * [taylor]: Taking taylor expansion of 1/2 in x 10.719 * [backup-simplify]: Simplify 1/2 into 1/2 10.719 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 10.719 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 10.719 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 10.719 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 10.719 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.719 * [taylor]: Taking taylor expansion of 1 in x 10.719 * [backup-simplify]: Simplify 1 into 1 10.719 * [taylor]: Taking taylor expansion of 1 in x 10.719 * [backup-simplify]: Simplify 1 into 1 10.719 * [taylor]: Taking taylor expansion of (* x x) in x 10.719 * [taylor]: Taking taylor expansion of x in x 10.719 * [backup-simplify]: Simplify 0 into 0 10.719 * [backup-simplify]: Simplify 1 into 1 10.719 * [taylor]: Taking taylor expansion of x in x 10.719 * [backup-simplify]: Simplify 0 into 0 10.719 * [backup-simplify]: Simplify 1 into 1 10.719 * [backup-simplify]: Simplify (* 1 1) into 1 10.720 * [backup-simplify]: Simplify (* 0 0) into 0 10.720 * [backup-simplify]: Simplify (+ 1 0) into 1 10.720 * [backup-simplify]: Simplify (sqrt 1) into 1 10.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.721 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.721 * [backup-simplify]: Simplify (+ 0 0) into 0 10.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.722 * [backup-simplify]: Simplify (/ 1 1) into 1 10.722 * [taylor]: Taking taylor expansion of 1/2 in x 10.722 * [backup-simplify]: Simplify 1/2 into 1/2 10.722 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.722 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 10.722 * [backup-simplify]: Simplify (sqrt 1) into 1 10.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.723 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.724 * [backup-simplify]: Simplify (+ 0 0) into 0 10.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.724 * [taylor]: Taking taylor expansion of 1 in x 10.724 * [backup-simplify]: Simplify 1 into 1 10.724 * [backup-simplify]: Simplify (+ 1 1) into 2 10.724 * [backup-simplify]: Simplify 2 into 2 10.725 * [backup-simplify]: Simplify (+ 0 0) into 0 10.725 * [backup-simplify]: Simplify 0 into 0 10.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.726 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 10.726 * [backup-simplify]: Simplify (+ 0 1) into 1 10.726 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 10.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 10.728 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 10.728 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 10.730 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 10.730 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 10.730 * [backup-simplify]: Simplify -1/8 into -1/8 10.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.732 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 10.733 * [backup-simplify]: Simplify (+ 0 0) into 0 10.734 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 10.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 10.737 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 10.738 * [backup-simplify]: Simplify (+ 0 0) into 0 10.739 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 10.740 * [backup-simplify]: Simplify (+ 0 0) into 0 10.740 * [backup-simplify]: Simplify 0 into 0 10.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.742 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.743 * [backup-simplify]: Simplify (+ 0 0) into 0 10.744 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 10.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 10.748 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 10.748 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 10.750 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 10.750 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 10.750 * [backup-simplify]: Simplify 11/128 into 11/128 10.751 * [backup-simplify]: Simplify (+ (* 11/128 (pow x 4)) (+ (* -1/8 (pow x 2)) 2)) into (- (+ (* 11/128 (pow x 4)) 2) (* 1/8 (pow x 2))) 10.751 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 10.751 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in (x) around 0 10.751 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 10.751 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 10.751 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 10.751 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 10.751 * [taylor]: Taking taylor expansion of 1/2 in x 10.751 * [backup-simplify]: Simplify 1/2 into 1/2 10.751 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 10.751 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 10.751 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 10.751 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 10.751 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.751 * [taylor]: Taking taylor expansion of 1 in x 10.751 * [backup-simplify]: Simplify 1 into 1 10.751 * [taylor]: Taking taylor expansion of 1 in x 10.751 * [backup-simplify]: Simplify 1 into 1 10.751 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.751 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.751 * [taylor]: Taking taylor expansion of x in x 10.751 * [backup-simplify]: Simplify 0 into 0 10.751 * [backup-simplify]: Simplify 1 into 1 10.752 * [backup-simplify]: Simplify (/ 1 1) into 1 10.752 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.752 * [taylor]: Taking taylor expansion of x in x 10.752 * [backup-simplify]: Simplify 0 into 0 10.752 * [backup-simplify]: Simplify 1 into 1 10.752 * [backup-simplify]: Simplify (/ 1 1) into 1 10.753 * [backup-simplify]: Simplify (* 1 1) into 1 10.753 * [backup-simplify]: Simplify (+ 0 1) into 1 10.753 * [backup-simplify]: Simplify (sqrt 1) into 1 10.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.756 * [backup-simplify]: Simplify (+ 0 0) into 0 10.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.757 * [backup-simplify]: Simplify (/ 1 1) into 1 10.757 * [taylor]: Taking taylor expansion of 1/2 in x 10.757 * [backup-simplify]: Simplify 1/2 into 1/2 10.758 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.758 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 10.759 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.759 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.761 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 10.761 * [taylor]: Taking taylor expansion of 1 in x 10.761 * [backup-simplify]: Simplify 1 into 1 10.761 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 10.761 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 10.761 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 10.761 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 10.761 * [taylor]: Taking taylor expansion of 1/2 in x 10.761 * [backup-simplify]: Simplify 1/2 into 1/2 10.761 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 10.761 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 10.761 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 10.761 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 10.761 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.761 * [taylor]: Taking taylor expansion of 1 in x 10.761 * [backup-simplify]: Simplify 1 into 1 10.761 * [taylor]: Taking taylor expansion of 1 in x 10.761 * [backup-simplify]: Simplify 1 into 1 10.761 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.761 * [taylor]: Taking taylor expansion of x in x 10.761 * [backup-simplify]: Simplify 0 into 0 10.761 * [backup-simplify]: Simplify 1 into 1 10.762 * [backup-simplify]: Simplify (/ 1 1) into 1 10.762 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.762 * [taylor]: Taking taylor expansion of x in x 10.762 * [backup-simplify]: Simplify 0 into 0 10.762 * [backup-simplify]: Simplify 1 into 1 10.762 * [backup-simplify]: Simplify (/ 1 1) into 1 10.763 * [backup-simplify]: Simplify (* 1 1) into 1 10.763 * [backup-simplify]: Simplify (+ 0 1) into 1 10.763 * [backup-simplify]: Simplify (sqrt 1) into 1 10.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.766 * [backup-simplify]: Simplify (+ 0 0) into 0 10.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.769 * [backup-simplify]: Simplify (/ 1 1) into 1 10.769 * [taylor]: Taking taylor expansion of 1/2 in x 10.769 * [backup-simplify]: Simplify 1/2 into 1/2 10.769 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.770 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 10.770 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.771 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.772 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 10.772 * [taylor]: Taking taylor expansion of 1 in x 10.772 * [backup-simplify]: Simplify 1 into 1 10.773 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 10.774 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 10.776 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 10.777 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 10.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.779 * [backup-simplify]: Simplify (+ 0 0) into 0 10.783 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 10.784 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 10.786 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 10.789 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 x) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 x)) (+ (sqrt 1/2) 1))) into (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ (sqrt 1/2) 1)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) 10.790 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 10.790 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in (x) around 0 10.790 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 10.790 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 10.790 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 10.790 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 10.790 * [taylor]: Taking taylor expansion of 1/2 in x 10.790 * [backup-simplify]: Simplify 1/2 into 1/2 10.790 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 10.790 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 10.790 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 10.790 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 10.790 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.790 * [taylor]: Taking taylor expansion of 1 in x 10.790 * [backup-simplify]: Simplify 1 into 1 10.790 * [taylor]: Taking taylor expansion of 1 in x 10.790 * [backup-simplify]: Simplify 1 into 1 10.790 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 10.790 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.790 * [taylor]: Taking taylor expansion of -1 in x 10.790 * [backup-simplify]: Simplify -1 into -1 10.790 * [taylor]: Taking taylor expansion of x in x 10.790 * [backup-simplify]: Simplify 0 into 0 10.790 * [backup-simplify]: Simplify 1 into 1 10.790 * [backup-simplify]: Simplify (/ -1 1) into -1 10.790 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.790 * [taylor]: Taking taylor expansion of -1 in x 10.790 * [backup-simplify]: Simplify -1 into -1 10.790 * [taylor]: Taking taylor expansion of x in x 10.790 * [backup-simplify]: Simplify 0 into 0 10.790 * [backup-simplify]: Simplify 1 into 1 10.791 * [backup-simplify]: Simplify (/ -1 1) into -1 10.791 * [backup-simplify]: Simplify (* -1 -1) into 1 10.791 * [backup-simplify]: Simplify (+ 0 1) into 1 10.791 * [backup-simplify]: Simplify (sqrt 1) into 1 10.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.793 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.793 * [backup-simplify]: Simplify (+ 0 0) into 0 10.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.794 * [backup-simplify]: Simplify (/ 1 1) into 1 10.794 * [taylor]: Taking taylor expansion of 1/2 in x 10.794 * [backup-simplify]: Simplify 1/2 into 1/2 10.794 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.794 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 10.795 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.795 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.796 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 10.796 * [taylor]: Taking taylor expansion of 1 in x 10.796 * [backup-simplify]: Simplify 1 into 1 10.796 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 10.796 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 10.796 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 10.796 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 10.796 * [taylor]: Taking taylor expansion of 1/2 in x 10.796 * [backup-simplify]: Simplify 1/2 into 1/2 10.796 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 10.796 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 10.796 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 10.796 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 10.796 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.796 * [taylor]: Taking taylor expansion of 1 in x 10.796 * [backup-simplify]: Simplify 1 into 1 10.796 * [taylor]: Taking taylor expansion of 1 in x 10.796 * [backup-simplify]: Simplify 1 into 1 10.796 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 10.796 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.796 * [taylor]: Taking taylor expansion of -1 in x 10.796 * [backup-simplify]: Simplify -1 into -1 10.796 * [taylor]: Taking taylor expansion of x in x 10.796 * [backup-simplify]: Simplify 0 into 0 10.796 * [backup-simplify]: Simplify 1 into 1 10.796 * [backup-simplify]: Simplify (/ -1 1) into -1 10.796 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.796 * [taylor]: Taking taylor expansion of -1 in x 10.796 * [backup-simplify]: Simplify -1 into -1 10.796 * [taylor]: Taking taylor expansion of x in x 10.796 * [backup-simplify]: Simplify 0 into 0 10.796 * [backup-simplify]: Simplify 1 into 1 10.797 * [backup-simplify]: Simplify (/ -1 1) into -1 10.797 * [backup-simplify]: Simplify (* -1 -1) into 1 10.797 * [backup-simplify]: Simplify (+ 0 1) into 1 10.798 * [backup-simplify]: Simplify (sqrt 1) into 1 10.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.799 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.799 * [backup-simplify]: Simplify (+ 0 0) into 0 10.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.800 * [backup-simplify]: Simplify (/ 1 1) into 1 10.800 * [taylor]: Taking taylor expansion of 1/2 in x 10.800 * [backup-simplify]: Simplify 1/2 into 1/2 10.800 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.800 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 10.801 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.801 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.802 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 10.802 * [taylor]: Taking taylor expansion of 1 in x 10.802 * [backup-simplify]: Simplify 1 into 1 10.803 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 10.803 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 10.804 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 10.805 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 10.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.806 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.806 * [backup-simplify]: Simplify (+ 0 0) into 0 10.811 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 10.813 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 10.817 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 10.823 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 (- x)) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 (- x))) (+ (sqrt 1/2) 1))) into (- (+ (sqrt 1/2) 1) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 10.823 * * * * [progress]: [ 4 / 4 ] generating series at (2) 10.824 * [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)) 10.824 * [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 10.824 * [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 10.824 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 10.824 * [taylor]: Taking taylor expansion of 1/2 in x 10.824 * [backup-simplify]: Simplify 1/2 into 1/2 10.824 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 10.824 * [taylor]: Taking taylor expansion of 1/2 in x 10.824 * [backup-simplify]: Simplify 1/2 into 1/2 10.824 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 10.824 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 10.824 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 10.824 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 10.824 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.824 * [taylor]: Taking taylor expansion of 1 in x 10.824 * [backup-simplify]: Simplify 1 into 1 10.825 * [taylor]: Taking taylor expansion of 1 in x 10.825 * [backup-simplify]: Simplify 1 into 1 10.825 * [taylor]: Taking taylor expansion of (* x x) in x 10.825 * [taylor]: Taking taylor expansion of x in x 10.825 * [backup-simplify]: Simplify 0 into 0 10.825 * [backup-simplify]: Simplify 1 into 1 10.825 * [taylor]: Taking taylor expansion of x in x 10.825 * [backup-simplify]: Simplify 0 into 0 10.825 * [backup-simplify]: Simplify 1 into 1 10.825 * [backup-simplify]: Simplify (* 1 1) into 1 10.826 * [backup-simplify]: Simplify (* 0 0) into 0 10.826 * [backup-simplify]: Simplify (+ 1 0) into 1 10.826 * [backup-simplify]: Simplify (sqrt 1) into 1 10.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.828 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.828 * [backup-simplify]: Simplify (+ 0 0) into 0 10.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.829 * [backup-simplify]: Simplify (/ 1 1) into 1 10.829 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 10.829 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 10.829 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 10.829 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 10.829 * [taylor]: Taking taylor expansion of 1/2 in x 10.829 * [backup-simplify]: Simplify 1/2 into 1/2 10.829 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 10.829 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 10.830 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 10.830 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 10.830 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.830 * [taylor]: Taking taylor expansion of 1 in x 10.830 * [backup-simplify]: Simplify 1 into 1 10.830 * [taylor]: Taking taylor expansion of 1 in x 10.830 * [backup-simplify]: Simplify 1 into 1 10.830 * [taylor]: Taking taylor expansion of (* x x) in x 10.830 * [taylor]: Taking taylor expansion of x in x 10.830 * [backup-simplify]: Simplify 0 into 0 10.830 * [backup-simplify]: Simplify 1 into 1 10.830 * [taylor]: Taking taylor expansion of x in x 10.830 * [backup-simplify]: Simplify 0 into 0 10.830 * [backup-simplify]: Simplify 1 into 1 10.830 * [backup-simplify]: Simplify (* 1 1) into 1 10.831 * [backup-simplify]: Simplify (* 0 0) into 0 10.831 * [backup-simplify]: Simplify (+ 1 0) into 1 10.831 * [backup-simplify]: Simplify (sqrt 1) into 1 10.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.833 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.833 * [backup-simplify]: Simplify (+ 0 0) into 0 10.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.834 * [backup-simplify]: Simplify (/ 1 1) into 1 10.834 * [taylor]: Taking taylor expansion of 1/2 in x 10.834 * [backup-simplify]: Simplify 1/2 into 1/2 10.835 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.835 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 10.835 * [backup-simplify]: Simplify (sqrt 1) into 1 10.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.837 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.837 * [backup-simplify]: Simplify (+ 0 0) into 0 10.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.838 * [taylor]: Taking taylor expansion of 1 in x 10.838 * [backup-simplify]: Simplify 1 into 1 10.838 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.839 * [backup-simplify]: Simplify (- 1/2) into -1/2 10.839 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 10.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.841 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.841 * [backup-simplify]: Simplify (- 0) into 0 10.842 * [backup-simplify]: Simplify (+ 0 0) into 0 10.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.843 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 10.844 * [backup-simplify]: Simplify (+ 0 1) into 1 10.845 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 10.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 10.847 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 10.847 * [backup-simplify]: Simplify (- -1/4) into 1/4 10.848 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 10.848 * [backup-simplify]: Simplify (+ 1 1) into 2 10.848 * [backup-simplify]: Simplify (/ 1/4 2) into 1/8 10.848 * [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 10.848 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 10.848 * [taylor]: Taking taylor expansion of 1/2 in x 10.849 * [backup-simplify]: Simplify 1/2 into 1/2 10.849 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 10.849 * [taylor]: Taking taylor expansion of 1/2 in x 10.849 * [backup-simplify]: Simplify 1/2 into 1/2 10.849 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 10.849 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 10.849 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 10.849 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 10.849 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.849 * [taylor]: Taking taylor expansion of 1 in x 10.849 * [backup-simplify]: Simplify 1 into 1 10.849 * [taylor]: Taking taylor expansion of 1 in x 10.849 * [backup-simplify]: Simplify 1 into 1 10.849 * [taylor]: Taking taylor expansion of (* x x) in x 10.849 * [taylor]: Taking taylor expansion of x in x 10.849 * [backup-simplify]: Simplify 0 into 0 10.849 * [backup-simplify]: Simplify 1 into 1 10.849 * [taylor]: Taking taylor expansion of x in x 10.849 * [backup-simplify]: Simplify 0 into 0 10.849 * [backup-simplify]: Simplify 1 into 1 10.849 * [backup-simplify]: Simplify (* 1 1) into 1 10.850 * [backup-simplify]: Simplify (* 0 0) into 0 10.850 * [backup-simplify]: Simplify (+ 1 0) into 1 10.850 * [backup-simplify]: Simplify (sqrt 1) into 1 10.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.852 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.852 * [backup-simplify]: Simplify (+ 0 0) into 0 10.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.853 * [backup-simplify]: Simplify (/ 1 1) into 1 10.853 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 10.854 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 10.854 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 10.854 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 10.854 * [taylor]: Taking taylor expansion of 1/2 in x 10.854 * [backup-simplify]: Simplify 1/2 into 1/2 10.854 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 10.854 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 10.854 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 10.854 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 10.854 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.854 * [taylor]: Taking taylor expansion of 1 in x 10.854 * [backup-simplify]: Simplify 1 into 1 10.854 * [taylor]: Taking taylor expansion of 1 in x 10.854 * [backup-simplify]: Simplify 1 into 1 10.854 * [taylor]: Taking taylor expansion of (* x x) in x 10.854 * [taylor]: Taking taylor expansion of x in x 10.854 * [backup-simplify]: Simplify 0 into 0 10.854 * [backup-simplify]: Simplify 1 into 1 10.854 * [taylor]: Taking taylor expansion of x in x 10.854 * [backup-simplify]: Simplify 0 into 0 10.854 * [backup-simplify]: Simplify 1 into 1 10.855 * [backup-simplify]: Simplify (* 1 1) into 1 10.855 * [backup-simplify]: Simplify (* 0 0) into 0 10.855 * [backup-simplify]: Simplify (+ 1 0) into 1 10.856 * [backup-simplify]: Simplify (sqrt 1) into 1 10.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.857 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.857 * [backup-simplify]: Simplify (+ 0 0) into 0 10.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.859 * [backup-simplify]: Simplify (/ 1 1) into 1 10.859 * [taylor]: Taking taylor expansion of 1/2 in x 10.859 * [backup-simplify]: Simplify 1/2 into 1/2 10.859 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.859 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 10.860 * [backup-simplify]: Simplify (sqrt 1) into 1 10.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.861 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.862 * [backup-simplify]: Simplify (+ 0 0) into 0 10.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.862 * [taylor]: Taking taylor expansion of 1 in x 10.862 * [backup-simplify]: Simplify 1 into 1 10.863 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.863 * [backup-simplify]: Simplify (- 1/2) into -1/2 10.864 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 10.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.865 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.865 * [backup-simplify]: Simplify (- 0) into 0 10.866 * [backup-simplify]: Simplify (+ 0 0) into 0 10.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.867 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 10.868 * [backup-simplify]: Simplify (+ 0 1) into 1 10.868 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 10.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 10.870 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 10.870 * [backup-simplify]: Simplify (- -1/4) into 1/4 10.870 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 10.871 * [backup-simplify]: Simplify (+ 1 1) into 2 10.871 * [backup-simplify]: Simplify (/ 1/4 2) into 1/8 10.871 * [backup-simplify]: Simplify 1/8 into 1/8 10.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.872 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 10.872 * [backup-simplify]: Simplify (+ 0 0) into 0 10.873 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 10.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 10.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 10.875 * [backup-simplify]: Simplify (- 0) into 0 10.876 * [backup-simplify]: Simplify (+ 0 0) into 0 10.876 * [backup-simplify]: Simplify (+ 0 0) into 0 10.876 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/8 (/ 0 2)))) into 0 10.876 * [backup-simplify]: Simplify 0 into 0 10.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.878 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.878 * [backup-simplify]: Simplify (+ 0 0) into 0 10.879 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 10.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 10.882 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 10.882 * [backup-simplify]: Simplify (- 3/16) into -3/16 10.883 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 10.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.884 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 10.884 * [backup-simplify]: Simplify (+ 0 1) into 1 10.884 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 10.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 10.886 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 10.886 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 10.887 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 10.887 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 10.888 * [backup-simplify]: Simplify (- (/ -3/16 2) (+ (* 1/8 (/ -1/8 2)) (* 0 (/ 0 2)))) into -11/128 10.888 * [backup-simplify]: Simplify -11/128 into -11/128 10.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.889 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 10.890 * [backup-simplify]: Simplify (+ 0 0) into 0 10.891 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 10.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 10.893 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 10.893 * [backup-simplify]: Simplify (- 0) into 0 10.894 * [backup-simplify]: Simplify (+ 0 0) into 0 10.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.895 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 10.895 * [backup-simplify]: Simplify (+ 0 0) into 0 10.896 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 10.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 10.897 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 10.897 * [backup-simplify]: Simplify (+ 0 0) into 0 10.898 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 10.898 * [backup-simplify]: Simplify (+ 0 0) into 0 10.899 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/8 (/ 0 2)) (* 0 (/ -1/8 2)) (* -11/128 (/ 0 2)))) into 0 10.899 * [backup-simplify]: Simplify 0 into 0 10.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.902 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 10.903 * [backup-simplify]: Simplify (+ 0 0) into 0 10.905 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 10.907 * [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 10.910 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 10.910 * [backup-simplify]: Simplify (- -5/32) into 5/32 10.910 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 10.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.913 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.913 * [backup-simplify]: Simplify (+ 0 0) into 0 10.915 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 10.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 10.918 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 10.918 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 10.921 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 10.921 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 10.924 * [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 10.924 * [backup-simplify]: Simplify 69/1024 into 69/1024 10.924 * [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))) 10.925 * [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)) 10.925 * [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 10.925 * [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 10.925 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 10.925 * [taylor]: Taking taylor expansion of 1/2 in x 10.925 * [backup-simplify]: Simplify 1/2 into 1/2 10.925 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 10.925 * [taylor]: Taking taylor expansion of 1/2 in x 10.925 * [backup-simplify]: Simplify 1/2 into 1/2 10.925 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 10.925 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 10.925 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 10.925 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 10.925 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.925 * [taylor]: Taking taylor expansion of 1 in x 10.925 * [backup-simplify]: Simplify 1 into 1 10.925 * [taylor]: Taking taylor expansion of 1 in x 10.926 * [backup-simplify]: Simplify 1 into 1 10.926 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.926 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.926 * [taylor]: Taking taylor expansion of x in x 10.926 * [backup-simplify]: Simplify 0 into 0 10.926 * [backup-simplify]: Simplify 1 into 1 10.926 * [backup-simplify]: Simplify (/ 1 1) into 1 10.926 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.926 * [taylor]: Taking taylor expansion of x in x 10.926 * [backup-simplify]: Simplify 0 into 0 10.926 * [backup-simplify]: Simplify 1 into 1 10.927 * [backup-simplify]: Simplify (/ 1 1) into 1 10.927 * [backup-simplify]: Simplify (* 1 1) into 1 10.927 * [backup-simplify]: Simplify (+ 0 1) into 1 10.928 * [backup-simplify]: Simplify (sqrt 1) into 1 10.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.930 * [backup-simplify]: Simplify (+ 0 0) into 0 10.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.932 * [backup-simplify]: Simplify (/ 1 1) into 1 10.932 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 10.932 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 10.932 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 10.932 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 10.932 * [taylor]: Taking taylor expansion of 1/2 in x 10.932 * [backup-simplify]: Simplify 1/2 into 1/2 10.932 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 10.932 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 10.932 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 10.932 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 10.932 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.932 * [taylor]: Taking taylor expansion of 1 in x 10.932 * [backup-simplify]: Simplify 1 into 1 10.932 * [taylor]: Taking taylor expansion of 1 in x 10.932 * [backup-simplify]: Simplify 1 into 1 10.932 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.932 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.932 * [taylor]: Taking taylor expansion of x in x 10.932 * [backup-simplify]: Simplify 0 into 0 10.932 * [backup-simplify]: Simplify 1 into 1 10.933 * [backup-simplify]: Simplify (/ 1 1) into 1 10.933 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.933 * [taylor]: Taking taylor expansion of x in x 10.933 * [backup-simplify]: Simplify 0 into 0 10.933 * [backup-simplify]: Simplify 1 into 1 10.933 * [backup-simplify]: Simplify (/ 1 1) into 1 10.933 * [backup-simplify]: Simplify (* 1 1) into 1 10.934 * [backup-simplify]: Simplify (+ 0 1) into 1 10.934 * [backup-simplify]: Simplify (sqrt 1) into 1 10.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.937 * [backup-simplify]: Simplify (+ 0 0) into 0 10.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.938 * [backup-simplify]: Simplify (/ 1 1) into 1 10.938 * [taylor]: Taking taylor expansion of 1/2 in x 10.938 * [backup-simplify]: Simplify 1/2 into 1/2 10.938 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.939 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 10.939 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.940 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.940 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 10.941 * [taylor]: Taking taylor expansion of 1 in x 10.941 * [backup-simplify]: Simplify 1 into 1 10.941 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.941 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 10.942 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 10.942 * [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 10.942 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 10.942 * [taylor]: Taking taylor expansion of 1/2 in x 10.942 * [backup-simplify]: Simplify 1/2 into 1/2 10.942 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 10.942 * [taylor]: Taking taylor expansion of 1/2 in x 10.942 * [backup-simplify]: Simplify 1/2 into 1/2 10.942 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 10.942 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 10.942 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 10.943 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 10.943 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.943 * [taylor]: Taking taylor expansion of 1 in x 10.943 * [backup-simplify]: Simplify 1 into 1 10.943 * [taylor]: Taking taylor expansion of 1 in x 10.943 * [backup-simplify]: Simplify 1 into 1 10.943 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.943 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.943 * [taylor]: Taking taylor expansion of x in x 10.943 * [backup-simplify]: Simplify 0 into 0 10.943 * [backup-simplify]: Simplify 1 into 1 10.943 * [backup-simplify]: Simplify (/ 1 1) into 1 10.943 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.943 * [taylor]: Taking taylor expansion of x in x 10.943 * [backup-simplify]: Simplify 0 into 0 10.943 * [backup-simplify]: Simplify 1 into 1 10.943 * [backup-simplify]: Simplify (/ 1 1) into 1 10.943 * [backup-simplify]: Simplify (* 1 1) into 1 10.944 * [backup-simplify]: Simplify (+ 0 1) into 1 10.944 * [backup-simplify]: Simplify (sqrt 1) into 1 10.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.945 * [backup-simplify]: Simplify (+ 0 0) into 0 10.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.946 * [backup-simplify]: Simplify (/ 1 1) into 1 10.946 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 10.946 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 10.946 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 10.946 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 10.946 * [taylor]: Taking taylor expansion of 1/2 in x 10.946 * [backup-simplify]: Simplify 1/2 into 1/2 10.946 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 10.946 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 10.946 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 10.946 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 10.946 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.946 * [taylor]: Taking taylor expansion of 1 in x 10.946 * [backup-simplify]: Simplify 1 into 1 10.946 * [taylor]: Taking taylor expansion of 1 in x 10.946 * [backup-simplify]: Simplify 1 into 1 10.946 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.946 * [taylor]: Taking taylor expansion of x in x 10.946 * [backup-simplify]: Simplify 0 into 0 10.946 * [backup-simplify]: Simplify 1 into 1 10.947 * [backup-simplify]: Simplify (/ 1 1) into 1 10.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.947 * [taylor]: Taking taylor expansion of x in x 10.947 * [backup-simplify]: Simplify 0 into 0 10.947 * [backup-simplify]: Simplify 1 into 1 10.947 * [backup-simplify]: Simplify (/ 1 1) into 1 10.947 * [backup-simplify]: Simplify (* 1 1) into 1 10.947 * [backup-simplify]: Simplify (+ 0 1) into 1 10.948 * [backup-simplify]: Simplify (sqrt 1) into 1 10.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.949 * [backup-simplify]: Simplify (+ 0 0) into 0 10.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.950 * [backup-simplify]: Simplify (/ 1 1) into 1 10.950 * [taylor]: Taking taylor expansion of 1/2 in x 10.950 * [backup-simplify]: Simplify 1/2 into 1/2 10.950 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.950 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 10.951 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.951 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.952 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 10.952 * [taylor]: Taking taylor expansion of 1 in x 10.952 * [backup-simplify]: Simplify 1 into 1 10.952 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.953 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 10.954 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 10.955 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 10.955 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.955 * [backup-simplify]: Simplify (- 1/2) into -1/2 10.955 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 10.956 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 10.963 * [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)))))) 10.971 * [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)))))) 10.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.973 * [backup-simplify]: Simplify (- 0) into 0 10.973 * [backup-simplify]: Simplify (+ 0 0) into 0 10.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.975 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.975 * [backup-simplify]: Simplify (+ 0 0) into 0 10.981 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 10.983 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 11.024 * [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)))))) 11.039 * [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)))))) 11.069 * [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)))))) 11.070 * [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)) 11.070 * [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 11.070 * [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 11.070 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 11.070 * [taylor]: Taking taylor expansion of 1/2 in x 11.071 * [backup-simplify]: Simplify 1/2 into 1/2 11.071 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 11.071 * [taylor]: Taking taylor expansion of 1/2 in x 11.071 * [backup-simplify]: Simplify 1/2 into 1/2 11.071 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.071 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.071 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.071 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.071 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.071 * [taylor]: Taking taylor expansion of 1 in x 11.071 * [backup-simplify]: Simplify 1 into 1 11.071 * [taylor]: Taking taylor expansion of 1 in x 11.071 * [backup-simplify]: Simplify 1 into 1 11.071 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.071 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.071 * [taylor]: Taking taylor expansion of -1 in x 11.071 * [backup-simplify]: Simplify -1 into -1 11.071 * [taylor]: Taking taylor expansion of x in x 11.071 * [backup-simplify]: Simplify 0 into 0 11.071 * [backup-simplify]: Simplify 1 into 1 11.072 * [backup-simplify]: Simplify (/ -1 1) into -1 11.072 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.072 * [taylor]: Taking taylor expansion of -1 in x 11.072 * [backup-simplify]: Simplify -1 into -1 11.072 * [taylor]: Taking taylor expansion of x in x 11.072 * [backup-simplify]: Simplify 0 into 0 11.072 * [backup-simplify]: Simplify 1 into 1 11.072 * [backup-simplify]: Simplify (/ -1 1) into -1 11.073 * [backup-simplify]: Simplify (* -1 -1) into 1 11.073 * [backup-simplify]: Simplify (+ 0 1) into 1 11.073 * [backup-simplify]: Simplify (sqrt 1) into 1 11.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.076 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.076 * [backup-simplify]: Simplify (+ 0 0) into 0 11.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.077 * [backup-simplify]: Simplify (/ 1 1) into 1 11.077 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 11.077 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 11.078 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 11.078 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 11.078 * [taylor]: Taking taylor expansion of 1/2 in x 11.078 * [backup-simplify]: Simplify 1/2 into 1/2 11.078 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.078 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.078 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.078 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.078 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.078 * [taylor]: Taking taylor expansion of 1 in x 11.078 * [backup-simplify]: Simplify 1 into 1 11.078 * [taylor]: Taking taylor expansion of 1 in x 11.078 * [backup-simplify]: Simplify 1 into 1 11.078 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.078 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.078 * [taylor]: Taking taylor expansion of -1 in x 11.078 * [backup-simplify]: Simplify -1 into -1 11.078 * [taylor]: Taking taylor expansion of x in x 11.078 * [backup-simplify]: Simplify 0 into 0 11.078 * [backup-simplify]: Simplify 1 into 1 11.079 * [backup-simplify]: Simplify (/ -1 1) into -1 11.079 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.079 * [taylor]: Taking taylor expansion of -1 in x 11.079 * [backup-simplify]: Simplify -1 into -1 11.079 * [taylor]: Taking taylor expansion of x in x 11.079 * [backup-simplify]: Simplify 0 into 0 11.079 * [backup-simplify]: Simplify 1 into 1 11.079 * [backup-simplify]: Simplify (/ -1 1) into -1 11.080 * [backup-simplify]: Simplify (* -1 -1) into 1 11.080 * [backup-simplify]: Simplify (+ 0 1) into 1 11.080 * [backup-simplify]: Simplify (sqrt 1) into 1 11.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.083 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.083 * [backup-simplify]: Simplify (+ 0 0) into 0 11.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.084 * [backup-simplify]: Simplify (/ 1 1) into 1 11.084 * [taylor]: Taking taylor expansion of 1/2 in x 11.084 * [backup-simplify]: Simplify 1/2 into 1/2 11.085 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.085 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.086 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.086 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.088 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 11.088 * [taylor]: Taking taylor expansion of 1 in x 11.088 * [backup-simplify]: Simplify 1 into 1 11.088 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.089 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 11.091 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 11.091 * [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 11.091 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 11.091 * [taylor]: Taking taylor expansion of 1/2 in x 11.091 * [backup-simplify]: Simplify 1/2 into 1/2 11.091 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 11.091 * [taylor]: Taking taylor expansion of 1/2 in x 11.091 * [backup-simplify]: Simplify 1/2 into 1/2 11.091 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.091 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.091 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.091 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.091 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.091 * [taylor]: Taking taylor expansion of 1 in x 11.091 * [backup-simplify]: Simplify 1 into 1 11.091 * [taylor]: Taking taylor expansion of 1 in x 11.091 * [backup-simplify]: Simplify 1 into 1 11.091 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.091 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.091 * [taylor]: Taking taylor expansion of -1 in x 11.091 * [backup-simplify]: Simplify -1 into -1 11.091 * [taylor]: Taking taylor expansion of x in x 11.092 * [backup-simplify]: Simplify 0 into 0 11.092 * [backup-simplify]: Simplify 1 into 1 11.092 * [backup-simplify]: Simplify (/ -1 1) into -1 11.092 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.092 * [taylor]: Taking taylor expansion of -1 in x 11.092 * [backup-simplify]: Simplify -1 into -1 11.092 * [taylor]: Taking taylor expansion of x in x 11.092 * [backup-simplify]: Simplify 0 into 0 11.092 * [backup-simplify]: Simplify 1 into 1 11.093 * [backup-simplify]: Simplify (/ -1 1) into -1 11.093 * [backup-simplify]: Simplify (* -1 -1) into 1 11.093 * [backup-simplify]: Simplify (+ 0 1) into 1 11.094 * [backup-simplify]: Simplify (sqrt 1) into 1 11.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.096 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.097 * [backup-simplify]: Simplify (+ 0 0) into 0 11.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.098 * [backup-simplify]: Simplify (/ 1 1) into 1 11.098 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 11.098 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 11.098 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 11.098 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 11.098 * [taylor]: Taking taylor expansion of 1/2 in x 11.098 * [backup-simplify]: Simplify 1/2 into 1/2 11.098 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.098 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.098 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.098 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.098 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.098 * [taylor]: Taking taylor expansion of 1 in x 11.098 * [backup-simplify]: Simplify 1 into 1 11.098 * [taylor]: Taking taylor expansion of 1 in x 11.098 * [backup-simplify]: Simplify 1 into 1 11.098 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.098 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.099 * [taylor]: Taking taylor expansion of -1 in x 11.099 * [backup-simplify]: Simplify -1 into -1 11.099 * [taylor]: Taking taylor expansion of x in x 11.099 * [backup-simplify]: Simplify 0 into 0 11.099 * [backup-simplify]: Simplify 1 into 1 11.099 * [backup-simplify]: Simplify (/ -1 1) into -1 11.099 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.099 * [taylor]: Taking taylor expansion of -1 in x 11.099 * [backup-simplify]: Simplify -1 into -1 11.099 * [taylor]: Taking taylor expansion of x in x 11.099 * [backup-simplify]: Simplify 0 into 0 11.099 * [backup-simplify]: Simplify 1 into 1 11.100 * [backup-simplify]: Simplify (/ -1 1) into -1 11.100 * [backup-simplify]: Simplify (* -1 -1) into 1 11.100 * [backup-simplify]: Simplify (+ 0 1) into 1 11.101 * [backup-simplify]: Simplify (sqrt 1) into 1 11.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.103 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.104 * [backup-simplify]: Simplify (+ 0 0) into 0 11.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.104 * [backup-simplify]: Simplify (/ 1 1) into 1 11.104 * [taylor]: Taking taylor expansion of 1/2 in x 11.104 * [backup-simplify]: Simplify 1/2 into 1/2 11.105 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.105 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.105 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.105 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.106 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 11.106 * [taylor]: Taking taylor expansion of 1 in x 11.106 * [backup-simplify]: Simplify 1 into 1 11.107 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.107 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 11.108 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 11.109 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 11.109 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.110 * [backup-simplify]: Simplify (- 1/2) into -1/2 11.110 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 11.111 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 11.119 * [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)))))) 11.125 * [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)))))) 11.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.126 * [backup-simplify]: Simplify (- 0) into 0 11.127 * [backup-simplify]: Simplify (+ 0 0) into 0 11.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.128 * [backup-simplify]: Simplify (+ 0 0) into 0 11.131 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 11.133 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 11.173 * [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)))))) 11.187 * [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)))))) 11.216 * [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)))))))) 11.217 * * * [progress]: simplifying candidates 11.217 * * * * [progress]: [ 1 / 169 ] simplifiying candidate # 11.217 * [simplify]: Simplifying (fma 1 1 (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 11.217 * * [simplify]: iters left: 6 (10 enodes) 11.225 * * [simplify]: iters left: 5 (36 enodes) 11.237 * * [simplify]: iters left: 4 (46 enodes) 11.249 * * [simplify]: iters left: 3 (53 enodes) 11.266 * * [simplify]: iters left: 2 (68 enodes) 11.282 * * [simplify]: iters left: 1 (76 enodes) 11.292 * * [simplify]: Extracting #0: cost 1 inf + 0 11.292 * * [simplify]: Extracting #1: cost 16 inf + 0 11.292 * * [simplify]: Extracting #2: cost 23 inf + 3 11.292 * * [simplify]: Extracting #3: cost 24 inf + 4 11.292 * * [simplify]: Extracting #4: cost 13 inf + 1186 11.293 * * [simplify]: Extracting #5: cost 6 inf + 2111 11.293 * * [simplify]: Extracting #6: cost 0 inf + 3139 11.294 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 11.294 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (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))))) 11.294 * [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)))) 11.294 * * [simplify]: iters left: 6 (10 enodes) 11.297 * * [simplify]: iters left: 5 (33 enodes) 11.302 * * [simplify]: iters left: 4 (47 enodes) 11.313 * * [simplify]: iters left: 3 (72 enodes) 11.333 * * [simplify]: iters left: 2 (80 enodes) 11.356 * * [simplify]: iters left: 1 (105 enodes) 11.374 * * [simplify]: Extracting #0: cost 1 inf + 0 11.374 * * [simplify]: Extracting #1: cost 0 inf + 1 11.374 * [simplify]: Simplified to 0 11.374 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 11.374 * * * * [progress]: [ 2 / 169 ] simplifiying candidate # 11.374 * * * * [progress]: [ 3 / 169 ] simplifiying candidate # 11.374 * * * * [progress]: [ 4 / 169 ] simplifiying candidate # 11.374 * * * * [progress]: [ 5 / 169 ] simplifiying candidate # 11.375 * [simplify]: Simplifying (/ (exp (* 1 1)) (exp (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 11.375 * * [simplify]: iters left: 6 (12 enodes) 11.379 * * [simplify]: iters left: 5 (41 enodes) 11.386 * * [simplify]: iters left: 4 (65 enodes) 11.406 * * [simplify]: iters left: 3 (107 enodes) 11.440 * * [simplify]: iters left: 2 (177 enodes) 11.502 * * [simplify]: iters left: 1 (305 enodes) 11.581 * * [simplify]: Extracting #0: cost 1 inf + 0 11.581 * * [simplify]: Extracting #1: cost 50 inf + 0 11.582 * * [simplify]: Extracting #2: cost 146 inf + 1 11.582 * * [simplify]: Extracting #3: cost 170 inf + 809 11.583 * * [simplify]: Extracting #4: cost 164 inf + 1920 11.584 * * [simplify]: Extracting #5: cost 157 inf + 2647 11.585 * * [simplify]: Extracting #6: cost 139 inf + 5632 11.588 * * [simplify]: Extracting #7: cost 113 inf + 12065 11.600 * * [simplify]: Extracting #8: cost 53 inf + 40952 11.622 * * [simplify]: Extracting #9: cost 8 inf + 73269 11.646 * * [simplify]: Extracting #10: cost 0 inf + 80183 11.671 * [simplify]: Simplified to (exp (- (/ -1/2 (hypot 1 x)) -1/2)) 11.671 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (log (exp (- (/ -1/2 (hypot 1 x)) -1/2))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 11.671 * * * * [progress]: [ 6 / 169 ] simplifiying candidate # 11.672 * * * * [progress]: [ 7 / 169 ] simplifiying candidate # 11.672 * * * * [progress]: [ 8 / 169 ] simplifiying candidate # 11.672 * * * * [progress]: [ 9 / 169 ] simplifiying candidate # 11.672 * * * * [progress]: [ 10 / 169 ] simplifiying candidate # 11.672 * * * * [progress]: [ 11 / 169 ] simplifiying candidate # 11.672 * * * * [progress]: [ 12 / 169 ] simplifiying candidate # 11.672 * * * * [progress]: [ 13 / 169 ] simplifiying candidate # 11.672 * * * * [progress]: [ 14 / 169 ] simplifiying candidate # 11.672 * * * * [progress]: [ 15 / 169 ] simplifiying candidate # 11.672 * * * * [progress]: [ 16 / 169 ] simplifiying candidate # 11.673 * [simplify]: Simplifying (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 11.673 * * [simplify]: iters left: 6 (8 enodes) 11.677 * * [simplify]: iters left: 5 (28 enodes) 11.686 * * [simplify]: iters left: 4 (30 enodes) 11.695 * * [simplify]: Extracting #0: cost 1 inf + 0 11.695 * * [simplify]: Extracting #1: cost 4 inf + 0 11.695 * * [simplify]: Extracting #2: cost 5 inf + 1 11.695 * * [simplify]: Extracting #3: cost 8 inf + 1 11.695 * * [simplify]: Extracting #4: cost 9 inf + 2 11.695 * * [simplify]: Extracting #5: cost 11 inf + 2 11.695 * * [simplify]: Extracting #6: cost 9 inf + 60 11.695 * * [simplify]: Extracting #7: cost 5 inf + 451 11.696 * * [simplify]: Extracting #8: cost 1 inf + 1163 11.696 * * [simplify]: Extracting #9: cost 0 inf + 1381 11.697 * [simplify]: Simplified to (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 11.697 * [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))))) 11.697 * [simplify]: Simplifying (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 11.697 * * [simplify]: iters left: 6 (8 enodes) 11.702 * * [simplify]: iters left: 5 (29 enodes) 11.711 * * [simplify]: iters left: 4 (34 enodes) 11.721 * * [simplify]: Extracting #0: cost 1 inf + 0 11.721 * * [simplify]: Extracting #1: cost 5 inf + 0 11.721 * * [simplify]: Extracting #2: cost 7 inf + 1 11.721 * * [simplify]: Extracting #3: cost 10 inf + 1 11.721 * * [simplify]: Extracting #4: cost 11 inf + 2 11.721 * * [simplify]: Extracting #5: cost 13 inf + 2 11.721 * * [simplify]: Extracting #6: cost 11 inf + 60 11.722 * * [simplify]: Extracting #7: cost 7 inf + 451 11.722 * * [simplify]: Extracting #8: cost 0 inf + 1817 11.723 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 11.723 * [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))))) 11.723 * * * * [progress]: [ 17 / 169 ] simplifiying candidate # 11.723 * * * * [progress]: [ 18 / 169 ] 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)))))> 11.723 * * * * [progress]: [ 19 / 169 ] simplifiying candidate # 11.723 * * * * [progress]: [ 20 / 169 ] simplifiying candidate # 11.723 * * * * [progress]: [ 21 / 169 ] simplifiying candidate # 11.724 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 11.724 * * [simplify]: iters left: 5 (6 enodes) 11.727 * * [simplify]: iters left: 4 (21 enodes) 11.736 * * [simplify]: iters left: 3 (23 enodes) 11.743 * * [simplify]: Extracting #0: cost 1 inf + 0 11.743 * * [simplify]: Extracting #1: cost 4 inf + 0 11.744 * * [simplify]: Extracting #2: cost 5 inf + 1 11.744 * * [simplify]: Extracting #3: cost 8 inf + 1 11.744 * * [simplify]: Extracting #4: cost 6 inf + 3 11.744 * * [simplify]: Extracting #5: cost 0 inf + 589 11.744 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 11.744 * [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))))) 11.745 * [simplify]: Simplifying (+ 1/2 1/2) 11.745 * * [simplify]: iters left: 2 (2 enodes) 11.747 * * [simplify]: iters left: 1 (7 enodes) 11.749 * * [simplify]: Extracting #0: cost 1 inf + 0 11.749 * * [simplify]: Extracting #1: cost 0 inf + 1 11.749 * [simplify]: Simplified to 1 11.749 * [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))))) 11.749 * * * * [progress]: [ 22 / 169 ] simplifiying candidate # 11.750 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 11.750 * * [simplify]: iters left: 5 (6 enodes) 11.753 * * [simplify]: iters left: 4 (21 enodes) 11.760 * * [simplify]: iters left: 3 (23 enodes) 11.767 * * [simplify]: Extracting #0: cost 1 inf + 0 11.767 * * [simplify]: Extracting #1: cost 4 inf + 0 11.767 * * [simplify]: Extracting #2: cost 5 inf + 1 11.767 * * [simplify]: Extracting #3: cost 8 inf + 1 11.768 * * [simplify]: Extracting #4: cost 6 inf + 3 11.768 * * [simplify]: Extracting #5: cost 0 inf + 589 11.768 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 11.768 * [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))))) 11.768 * [simplify]: Simplifying (+ 1/2 (/ 1 2)) 11.768 * * [simplify]: iters left: 4 (5 enodes) 11.773 * * [simplify]: iters left: 3 (18 enodes) 11.781 * * [simplify]: iters left: 2 (20 enodes) 11.786 * * [simplify]: Extracting #0: cost 1 inf + 0 11.786 * * [simplify]: Extracting #1: cost 0 inf + 1 11.786 * [simplify]: Simplified to 1 11.786 * [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))))) 11.786 * * * * [progress]: [ 23 / 169 ] simplifiying candidate # 11.787 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 11.787 * * [simplify]: iters left: 6 (7 enodes) 11.791 * * [simplify]: iters left: 5 (24 enodes) 11.795 * * [simplify]: iters left: 4 (26 enodes) 11.799 * * [simplify]: Extracting #0: cost 1 inf + 0 11.799 * * [simplify]: Extracting #1: cost 3 inf + 0 11.799 * * [simplify]: Extracting #2: cost 6 inf + 0 11.799 * * [simplify]: Extracting #3: cost 7 inf + 1 11.799 * * [simplify]: Extracting #4: cost 10 inf + 1 11.799 * * [simplify]: Extracting #5: cost 6 inf + 117 11.799 * * [simplify]: Extracting #6: cost 2 inf + 629 11.800 * * [simplify]: Extracting #7: cost 0 inf + 945 11.800 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 11.800 * [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))))) 11.800 * [simplify]: Simplifying (+ 1 1) 11.800 * * [simplify]: iters left: 2 (2 enodes) 11.801 * * [simplify]: iters left: 1 (9 enodes) 11.803 * * [simplify]: Extracting #0: cost 1 inf + 0 11.803 * * [simplify]: Extracting #1: cost 0 inf + 1 11.803 * [simplify]: Simplified to 2 11.803 * [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))))) 11.803 * * * * [progress]: [ 24 / 169 ] simplifiying candidate # 11.803 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 11.803 * * [simplify]: iters left: 5 (6 enodes) 11.805 * * [simplify]: iters left: 4 (21 enodes) 11.809 * * [simplify]: iters left: 3 (23 enodes) 11.813 * * [simplify]: Extracting #0: cost 1 inf + 0 11.813 * * [simplify]: Extracting #1: cost 4 inf + 0 11.813 * * [simplify]: Extracting #2: cost 5 inf + 1 11.813 * * [simplify]: Extracting #3: cost 8 inf + 1 11.813 * * [simplify]: Extracting #4: cost 6 inf + 3 11.813 * * [simplify]: Extracting #5: cost 0 inf + 589 11.813 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 11.813 * [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))))) 11.813 * [simplify]: Simplifying (+ (/ 1 2) 1/2) 11.813 * * [simplify]: iters left: 4 (5 enodes) 11.817 * * [simplify]: iters left: 3 (18 enodes) 11.820 * * [simplify]: iters left: 2 (20 enodes) 11.826 * * [simplify]: Extracting #0: cost 1 inf + 0 11.826 * * [simplify]: Extracting #1: cost 0 inf + 1 11.826 * [simplify]: Simplified to 1 11.826 * [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))))) 11.827 * * * * [progress]: [ 25 / 169 ] simplifiying candidate # 11.827 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 11.827 * * [simplify]: iters left: 5 (6 enodes) 11.830 * * [simplify]: iters left: 4 (21 enodes) 11.837 * * [simplify]: iters left: 3 (23 enodes) 11.844 * * [simplify]: Extracting #0: cost 1 inf + 0 11.844 * * [simplify]: Extracting #1: cost 4 inf + 0 11.844 * * [simplify]: Extracting #2: cost 5 inf + 1 11.844 * * [simplify]: Extracting #3: cost 8 inf + 1 11.844 * * [simplify]: Extracting #4: cost 6 inf + 3 11.844 * * [simplify]: Extracting #5: cost 0 inf + 589 11.845 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 11.845 * [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))))) 11.845 * [simplify]: Simplifying (+ (/ 1 2) (/ 1 2)) 11.845 * * [simplify]: iters left: 4 (4 enodes) 11.849 * * [simplify]: iters left: 3 (15 enodes) 11.853 * * [simplify]: iters left: 2 (17 enodes) 11.858 * * [simplify]: Extracting #0: cost 1 inf + 0 11.858 * * [simplify]: Extracting #1: cost 0 inf + 1 11.858 * [simplify]: Simplified to 1 11.859 * [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))))) 11.859 * * * * [progress]: [ 26 / 169 ] simplifiying candidate # 11.859 * [simplify]: Simplifying (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) 11.859 * * [simplify]: iters left: 6 (7 enodes) 11.865 * * [simplify]: iters left: 5 (30 enodes) 11.878 * * [simplify]: iters left: 4 (59 enodes) 11.897 * * [simplify]: iters left: 3 (94 enodes) 11.925 * * [simplify]: iters left: 2 (141 enodes) 11.971 * * [simplify]: iters left: 1 (204 enodes) 12.047 * * [simplify]: Extracting #0: cost 1 inf + 0 12.048 * * [simplify]: Extracting #1: cost 33 inf + 0 12.048 * * [simplify]: Extracting #2: cost 103 inf + 2 12.049 * * [simplify]: Extracting #3: cost 108 inf + 3 12.050 * * [simplify]: Extracting #4: cost 103 inf + 313 12.054 * * [simplify]: Extracting #5: cost 37 inf + 9938 12.060 * * [simplify]: Extracting #6: cost 1 inf + 16804 12.065 * * [simplify]: Extracting #7: cost 0 inf + 16982 12.069 * [simplify]: Simplified to (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 12.069 * [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))))) 12.069 * * * * [progress]: [ 27 / 169 ] simplifiying candidate # 12.069 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 12.069 * * [simplify]: iters left: 6 (8 enodes) 12.072 * * [simplify]: iters left: 5 (25 enodes) 12.076 * * [simplify]: iters left: 4 (28 enodes) 12.081 * * [simplify]: Extracting #0: cost 1 inf + 0 12.081 * * [simplify]: Extracting #1: cost 5 inf + 0 12.081 * * [simplify]: Extracting #2: cost 7 inf + 1 12.081 * * [simplify]: Extracting #3: cost 10 inf + 1 12.081 * * [simplify]: Extracting #4: cost 8 inf + 3 12.081 * * [simplify]: Extracting #5: cost 3 inf + 491 12.081 * * [simplify]: Extracting #6: cost 1 inf + 767 12.081 * * [simplify]: Extracting #7: cost 0 inf + 945 12.081 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 12.081 * [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))))) 12.082 * * * * [progress]: [ 28 / 169 ] simplifiying candidate # 12.082 * [simplify]: Simplifying (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) 12.082 * * [simplify]: iters left: 6 (7 enodes) 12.084 * * [simplify]: iters left: 5 (30 enodes) 12.091 * * [simplify]: iters left: 4 (59 enodes) 12.102 * * [simplify]: iters left: 3 (94 enodes) 12.121 * * [simplify]: iters left: 2 (141 enodes) 12.150 * * [simplify]: iters left: 1 (204 enodes) 12.196 * * [simplify]: Extracting #0: cost 1 inf + 0 12.196 * * [simplify]: Extracting #1: cost 33 inf + 0 12.197 * * [simplify]: Extracting #2: cost 103 inf + 2 12.197 * * [simplify]: Extracting #3: cost 108 inf + 3 12.197 * * [simplify]: Extracting #4: cost 103 inf + 313 12.199 * * [simplify]: Extracting #5: cost 37 inf + 9938 12.207 * * [simplify]: Extracting #6: cost 1 inf + 16804 12.215 * * [simplify]: Extracting #7: cost 0 inf + 16982 12.223 * [simplify]: Simplified to (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 12.223 * [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))))) 12.224 * [simplify]: Simplifying (/ 1 2) 12.224 * * [simplify]: iters left: 2 (3 enodes) 12.226 * * [simplify]: iters left: 1 (12 enodes) 12.228 * * [simplify]: Extracting #0: cost 1 inf + 0 12.228 * * [simplify]: Extracting #1: cost 0 inf + 1 12.228 * [simplify]: Simplified to 1/2 12.228 * [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))))) 12.228 * * * * [progress]: [ 29 / 169 ] simplifiying candidate # 12.228 * * * * [progress]: [ 30 / 169 ] simplifiying candidate # 12.229 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 12.229 * * [simplify]: iters left: 6 (7 enodes) 12.231 * * [simplify]: iters left: 5 (24 enodes) 12.235 * * [simplify]: iters left: 4 (26 enodes) 12.239 * * [simplify]: Extracting #0: cost 1 inf + 0 12.239 * * [simplify]: Extracting #1: cost 3 inf + 0 12.239 * * [simplify]: Extracting #2: cost 6 inf + 0 12.239 * * [simplify]: Extracting #3: cost 7 inf + 1 12.239 * * [simplify]: Extracting #4: cost 10 inf + 1 12.239 * * [simplify]: Extracting #5: cost 6 inf + 117 12.239 * * [simplify]: Extracting #6: cost 2 inf + 629 12.239 * * [simplify]: Extracting #7: cost 0 inf + 945 12.239 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 12.239 * [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))))) 12.239 * * * * [progress]: [ 31 / 169 ] simplifiying candidate # 12.240 * * * * [progress]: [ 32 / 169 ] simplifiying candidate # 12.240 * [simplify]: Simplifying (+ (log (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (log (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 12.240 * * [simplify]: iters left: 6 (9 enodes) 12.242 * * [simplify]: iters left: 5 (30 enodes) 12.247 * * [simplify]: iters left: 4 (32 enodes) 12.252 * * [simplify]: Extracting #0: cost 1 inf + 0 12.252 * * [simplify]: Extracting #1: cost 3 inf + 0 12.252 * * [simplify]: Extracting #2: cost 5 inf + 0 12.252 * * [simplify]: Extracting #3: cost 7 inf + 0 12.252 * * [simplify]: Extracting #4: cost 10 inf + 0 12.252 * * [simplify]: Extracting #5: cost 11 inf + 1 12.252 * * [simplify]: Extracting #6: cost 14 inf + 1 12.253 * * [simplify]: Extracting #7: cost 10 inf + 117 12.253 * * [simplify]: Extracting #8: cost 8 inf + 353 12.253 * * [simplify]: Extracting #9: cost 4 inf + 1015 12.253 * * [simplify]: Extracting #10: cost 0 inf + 2017 12.254 * [simplify]: Simplified to (+ (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 12.254 * [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))))) 12.254 * * * * [progress]: [ 33 / 169 ] simplifiying candidate # 12.254 * * * * [progress]: [ 34 / 169 ] simplifiying candidate # 12.254 * * * * [progress]: [ 35 / 169 ] simplifiying candidate # 12.254 * [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)))) 12.254 * * [simplify]: iters left: 6 (10 enodes) 12.257 * * [simplify]: iters left: 5 (38 enodes) 12.269 * * [simplify]: iters left: 4 (85 enodes) 12.313 * * [simplify]: iters left: 3 (328 enodes) 12.462 * * [simplify]: Extracting #0: cost 1 inf + 0 12.463 * * [simplify]: Extracting #1: cost 31 inf + 0 12.467 * * [simplify]: Extracting #2: cost 145 inf + 3 12.468 * * [simplify]: Extracting #3: cost 151 inf + 7 12.470 * * [simplify]: Extracting #4: cost 139 inf + 1538 12.476 * * [simplify]: Extracting #5: cost 83 inf + 14009 12.484 * * [simplify]: Extracting #6: cost 10 inf + 36507 12.495 * * [simplify]: Extracting #7: cost 0 inf + 39687 12.505 * [simplify]: Simplified to (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 12.505 * [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))))) 12.505 * * * * [progress]: [ 36 / 169 ] simplifiying candidate # 12.505 * * * * [progress]: [ 37 / 169 ] simplifiying candidate # 12.505 * * * * [progress]: [ 38 / 169 ] simplifiying candidate # 12.505 * [simplify]: Simplifying (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) 12.505 * * [simplify]: iters left: 6 (7 enodes) 12.508 * * [simplify]: iters left: 5 (30 enodes) 12.520 * * [simplify]: iters left: 4 (59 enodes) 12.539 * * [simplify]: iters left: 3 (94 enodes) 12.567 * * [simplify]: iters left: 2 (141 enodes) 12.616 * * [simplify]: iters left: 1 (204 enodes) 12.688 * * [simplify]: Extracting #0: cost 1 inf + 0 12.689 * * [simplify]: Extracting #1: cost 33 inf + 0 12.689 * * [simplify]: Extracting #2: cost 103 inf + 2 12.690 * * [simplify]: Extracting #3: cost 108 inf + 3 12.691 * * [simplify]: Extracting #4: cost 103 inf + 313 12.694 * * [simplify]: Extracting #5: cost 37 inf + 9938 12.702 * * [simplify]: Extracting #6: cost 1 inf + 16804 12.710 * * [simplify]: Extracting #7: cost 0 inf + 16982 12.721 * [simplify]: Simplified to (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 12.721 * [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))))) 12.721 * * * * [progress]: [ 39 / 169 ] simplifiying candidate # 12.721 * * * * [progress]: [ 40 / 169 ] simplifiying candidate # 12.722 * [simplify]: Simplifying (/ 1/2 (hypot 1 x)) 12.722 * * [simplify]: iters left: 3 (5 enodes) 12.725 * * [simplify]: iters left: 2 (17 enodes) 12.730 * * [simplify]: iters left: 1 (19 enodes) 12.736 * * [simplify]: Extracting #0: cost 1 inf + 0 12.736 * * [simplify]: Extracting #1: cost 4 inf + 0 12.736 * * [simplify]: Extracting #2: cost 6 inf + 1 12.736 * * [simplify]: Extracting #3: cost 0 inf + 313 12.737 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 12.737 * [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))))) 12.737 * * * * [progress]: [ 41 / 169 ] simplifiying candidate # 12.737 * [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)))) 12.737 * * [simplify]: iters left: 6 (11 enodes) 12.742 * * [simplify]: iters left: 5 (51 enodes) 12.754 * * [simplify]: iters left: 4 (97 enodes) 12.777 * * [simplify]: iters left: 3 (189 enodes) 12.845 * * [simplify]: iters left: 2 (310 enodes) 12.989 * * [simplify]: Extracting #0: cost 1 inf + 0 12.989 * * [simplify]: Extracting #1: cost 8 inf + 0 12.990 * * [simplify]: Extracting #2: cost 54 inf + 1 12.990 * * [simplify]: Extracting #3: cost 103 inf + 6 12.990 * * [simplify]: Extracting #4: cost 88 inf + 2010 12.993 * * [simplify]: Extracting #5: cost 35 inf + 15717 12.996 * * [simplify]: Extracting #6: cost 1 inf + 31886 13.000 * * [simplify]: Extracting #7: cost 0 inf + 32314 13.004 * [simplify]: Simplified to (+ 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) 13.005 * [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))))) 13.005 * [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))))) 13.005 * * [simplify]: iters left: 6 (12 enodes) 13.010 * * [simplify]: iters left: 5 (50 enodes) 13.026 * * [simplify]: iters left: 4 (81 enodes) 13.054 * * [simplify]: iters left: 3 (111 enodes) 13.090 * * [simplify]: iters left: 2 (172 enodes) 13.145 * * [simplify]: iters left: 1 (246 enodes) 13.225 * * [simplify]: Extracting #0: cost 1 inf + 0 13.226 * * [simplify]: Extracting #1: cost 29 inf + 0 13.226 * * [simplify]: Extracting #2: cost 64 inf + 3 13.226 * * [simplify]: Extracting #3: cost 71 inf + 4 13.226 * * [simplify]: Extracting #4: cost 69 inf + 6 13.227 * * [simplify]: Extracting #5: cost 39 inf + 3831 13.231 * * [simplify]: Extracting #6: cost 3 inf + 10026 13.234 * * [simplify]: Extracting #7: cost 0 inf + 10543 13.239 * [simplify]: Simplified to (fma (- (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x)) 1/4) 13.239 * [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))))) 13.239 * * * * [progress]: [ 42 / 169 ] simplifiying candidate # 13.240 * [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)))) 13.240 * * [simplify]: iters left: 6 (15 enodes) 13.252 * * [simplify]: iters left: 5 (75 enodes) 13.285 * * [simplify]: iters left: 4 (144 enodes) 13.337 * * [simplify]: iters left: 3 (252 enodes) 13.429 * * [simplify]: iters left: 2 (466 enodes) 13.651 * * [simplify]: Extracting #0: cost 1 inf + 0 13.651 * * [simplify]: Extracting #1: cost 4 inf + 0 13.652 * * [simplify]: Extracting #2: cost 8 inf + 0 13.652 * * [simplify]: Extracting #3: cost 33 inf + 0 13.652 * * [simplify]: Extracting #4: cost 82 inf + 4 13.653 * * [simplify]: Extracting #5: cost 129 inf + 8 13.655 * * [simplify]: Extracting #6: cost 102 inf + 3871 13.663 * * [simplify]: Extracting #7: cost 11 inf + 31469 13.674 * * [simplify]: Extracting #8: cost 0 inf + 36787 13.680 * [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))) 13.680 * [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))))) 13.680 * [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))) 13.681 * * [simplify]: iters left: 6 (14 enodes) 13.685 * * [simplify]: iters left: 5 (62 enodes) 13.696 * * [simplify]: iters left: 4 (92 enodes) 13.716 * * [simplify]: iters left: 3 (125 enodes) 13.740 * * [simplify]: iters left: 2 (174 enodes) 13.777 * * [simplify]: iters left: 1 (238 enodes) 13.866 * * [simplify]: Extracting #0: cost 1 inf + 0 13.866 * * [simplify]: Extracting #1: cost 4 inf + 0 13.866 * * [simplify]: Extracting #2: cost 8 inf + 0 13.866 * * [simplify]: Extracting #3: cost 35 inf + 0 13.866 * * [simplify]: Extracting #4: cost 68 inf + 3 13.867 * * [simplify]: Extracting #5: cost 75 inf + 4 13.867 * * [simplify]: Extracting #6: cost 73 inf + 6 13.868 * * [simplify]: Extracting #7: cost 48 inf + 3221 13.870 * * [simplify]: Extracting #8: cost 9 inf + 9933 13.874 * * [simplify]: Extracting #9: cost 0 inf + 11582 13.877 * * [simplify]: Extracting #10: cost 0 inf + 11526 13.882 * [simplify]: Simplified to (* (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (fma (- (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x)) 1/4))) 13.882 * [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) (/ 1/2 (hypot 1 x)) 1/4))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 13.883 * * * * [progress]: [ 43 / 169 ] simplifiying candidate # 13.883 * [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)))) 13.883 * * [simplify]: iters left: 6 (15 enodes) 13.895 * * [simplify]: iters left: 5 (75 enodes) 13.911 * * [simplify]: iters left: 4 (144 enodes) 13.946 * * [simplify]: iters left: 3 (253 enodes) 14.023 * * [simplify]: iters left: 2 (468 enodes) 14.209 * * [simplify]: Extracting #0: cost 1 inf + 0 14.209 * * [simplify]: Extracting #1: cost 4 inf + 0 14.209 * * [simplify]: Extracting #2: cost 8 inf + 0 14.209 * * [simplify]: Extracting #3: cost 33 inf + 0 14.210 * * [simplify]: Extracting #4: cost 82 inf + 4 14.211 * * [simplify]: Extracting #5: cost 129 inf + 8 14.213 * * [simplify]: Extracting #6: cost 106 inf + 2464 14.220 * * [simplify]: Extracting #7: cost 18 inf + 27929 14.231 * * [simplify]: Extracting #8: cost 0 inf + 36635 14.242 * * [simplify]: Extracting #9: cost 0 inf + 36618 14.253 * [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))) 14.253 * [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))))) 14.254 * [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))))) 14.254 * * [simplify]: iters left: 6 (14 enodes) 14.262 * * [simplify]: iters left: 5 (62 enodes) 14.282 * * [simplify]: iters left: 4 (92 enodes) 14.310 * * [simplify]: iters left: 3 (125 enodes) 14.352 * * [simplify]: iters left: 2 (174 enodes) 14.385 * * [simplify]: iters left: 1 (238 enodes) 14.482 * * [simplify]: Extracting #0: cost 1 inf + 0 14.482 * * [simplify]: Extracting #1: cost 4 inf + 0 14.482 * * [simplify]: Extracting #2: cost 8 inf + 0 14.482 * * [simplify]: Extracting #3: cost 35 inf + 0 14.483 * * [simplify]: Extracting #4: cost 68 inf + 3 14.483 * * [simplify]: Extracting #5: cost 75 inf + 4 14.484 * * [simplify]: Extracting #6: cost 73 inf + 6 14.486 * * [simplify]: Extracting #7: cost 43 inf + 4184 14.491 * * [simplify]: Extracting #8: cost 6 inf + 10342 14.498 * * [simplify]: Extracting #9: cost 0 inf + 11526 14.505 * [simplify]: Simplified to (* (sqrt (fma (- (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x)) 1/4)) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2))) 14.505 * [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) (/ 1/2 (hypot 1 x)) 1/4)) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 14.505 * * * * [progress]: [ 44 / 169 ] simplifiying candidate # 14.505 * [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)))) 14.506 * * [simplify]: iters left: 6 (10 enodes) 14.512 * * [simplify]: iters left: 5 (42 enodes) 14.527 * * [simplify]: iters left: 4 (66 enodes) 14.544 * * [simplify]: iters left: 3 (85 enodes) 14.570 * * [simplify]: iters left: 2 (130 enodes) 14.613 * * [simplify]: iters left: 1 (183 enodes) 14.643 * * [simplify]: Extracting #0: cost 1 inf + 0 14.644 * * [simplify]: Extracting #1: cost 29 inf + 0 14.644 * * [simplify]: Extracting #2: cost 50 inf + 4 14.644 * * [simplify]: Extracting #3: cost 58 inf + 4 14.645 * * [simplify]: Extracting #4: cost 56 inf + 6 14.647 * * [simplify]: Extracting #5: cost 30 inf + 3989 14.651 * * [simplify]: Extracting #6: cost 0 inf + 8990 14.657 * * [simplify]: Extracting #7: cost 0 inf + 8960 14.662 * [simplify]: Simplified to (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4) 14.662 * [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))))) 14.662 * [simplify]: Simplifying (* (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2))) 14.662 * * [simplify]: iters left: 6 (8 enodes) 14.667 * * [simplify]: iters left: 5 (27 enodes) 14.675 * * [simplify]: iters left: 4 (32 enodes) 14.681 * * [simplify]: iters left: 3 (33 enodes) 14.686 * * [simplify]: Extracting #0: cost 1 inf + 0 14.686 * * [simplify]: Extracting #1: cost 6 inf + 0 14.686 * * [simplify]: Extracting #2: cost 7 inf + 2 14.686 * * [simplify]: Extracting #3: cost 10 inf + 2 14.686 * * [simplify]: Extracting #4: cost 8 inf + 4 14.686 * * [simplify]: Extracting #5: cost 3 inf + 532 14.689 * * [simplify]: Extracting #6: cost 0 inf + 946 14.689 * [simplify]: Simplified to (- (/ 1/2 (hypot 1 x)) 1/2) 14.689 * [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))))) 14.689 * * * * [progress]: [ 45 / 169 ] simplifiying candidate # 14.689 * * * * [progress]: [ 46 / 169 ] simplifiying candidate # 14.690 * [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))))) 14.690 * * [simplify]: iters left: 6 (10 enodes) 14.693 * * [simplify]: iters left: 5 (37 enodes) 14.699 * * [simplify]: iters left: 4 (43 enodes) 14.706 * * [simplify]: iters left: 3 (53 enodes) 14.716 * * [simplify]: iters left: 2 (73 enodes) 14.733 * * [simplify]: iters left: 1 (119 enodes) 14.777 * * [simplify]: Extracting #0: cost 1 inf + 0 14.777 * * [simplify]: Extracting #1: cost 13 inf + 0 14.777 * * [simplify]: Extracting #2: cost 40 inf + 1 14.777 * * [simplify]: Extracting #3: cost 41 inf + 7 14.778 * * [simplify]: Extracting #4: cost 41 inf + 10 14.778 * * [simplify]: Extracting #5: cost 42 inf + 11 14.779 * * [simplify]: Extracting #6: cost 29 inf + 2397 14.782 * * [simplify]: Extracting #7: cost 10 inf + 12311 14.787 * * [simplify]: Extracting #8: cost 0 inf + 18798 14.792 * [simplify]: Simplified to (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 14.792 * [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))))) 14.792 * [simplify]: Simplifying (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 14.792 * * [simplify]: iters left: 6 (9 enodes) 14.797 * * [simplify]: iters left: 5 (30 enodes) 14.808 * * [simplify]: iters left: 4 (32 enodes) 14.817 * * [simplify]: Extracting #0: cost 1 inf + 0 14.817 * * [simplify]: Extracting #1: cost 3 inf + 0 14.817 * * [simplify]: Extracting #2: cost 5 inf + 0 14.818 * * [simplify]: Extracting #3: cost 7 inf + 0 14.818 * * [simplify]: Extracting #4: cost 10 inf + 0 14.818 * * [simplify]: Extracting #5: cost 11 inf + 1 14.818 * * [simplify]: Extracting #6: cost 14 inf + 1 14.818 * * [simplify]: Extracting #7: cost 10 inf + 117 14.818 * * [simplify]: Extracting #8: cost 8 inf + 353 14.818 * * [simplify]: Extracting #9: cost 4 inf + 1025 14.819 * * [simplify]: Extracting #10: cost 0 inf + 2057 14.819 * [simplify]: Simplified to (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 14.819 * [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))))) 14.820 * * * * [progress]: [ 47 / 169 ] simplifiying candidate # 14.820 * [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))))) 14.820 * * [simplify]: iters left: 6 (10 enodes) 14.823 * * [simplify]: iters left: 5 (32 enodes) 14.828 * * [simplify]: iters left: 4 (35 enodes) 14.833 * * [simplify]: Extracting #0: cost 1 inf + 0 14.833 * * [simplify]: Extracting #1: cost 4 inf + 0 14.833 * * [simplify]: Extracting #2: cost 7 inf + 0 14.833 * * [simplify]: Extracting #3: cost 10 inf + 0 14.833 * * [simplify]: Extracting #4: cost 11 inf + 1 14.833 * * [simplify]: Extracting #5: cost 14 inf + 1 14.833 * * [simplify]: Extracting #6: cost 11 inf + 60 14.833 * * [simplify]: Extracting #7: cost 8 inf + 353 14.834 * * [simplify]: Extracting #8: cost 1 inf + 1799 14.834 * * [simplify]: Extracting #9: cost 0 inf + 2057 14.834 * [simplify]: Simplified to (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 14.834 * [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))))) 14.834 * [simplify]: Simplifying (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 14.835 * * [simplify]: iters left: 6 (9 enodes) 14.837 * * [simplify]: iters left: 5 (28 enodes) 14.842 * * [simplify]: iters left: 4 (31 enodes) 14.846 * * [simplify]: Extracting #0: cost 1 inf + 0 14.846 * * [simplify]: Extracting #1: cost 4 inf + 0 14.846 * * [simplify]: Extracting #2: cost 8 inf + 0 14.846 * * [simplify]: Extracting #3: cost 9 inf + 1 14.846 * * [simplify]: Extracting #4: cost 12 inf + 1 14.847 * * [simplify]: Extracting #5: cost 8 inf + 117 14.847 * * [simplify]: Extracting #6: cost 6 inf + 353 14.847 * * [simplify]: Extracting #7: cost 2 inf + 1065 14.847 * * [simplify]: Extracting #8: cost 0 inf + 1541 14.847 * [simplify]: Simplified to (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 14.847 * [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))))) 14.848 * * * * [progress]: [ 48 / 169 ] simplifiying candidate # 14.848 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 14.848 * * [simplify]: iters left: 6 (9 enodes) 14.850 * * [simplify]: iters left: 5 (28 enodes) 14.855 * * [simplify]: iters left: 4 (31 enodes) 14.863 * * [simplify]: Extracting #0: cost 1 inf + 0 14.863 * * [simplify]: Extracting #1: cost 4 inf + 0 14.863 * * [simplify]: Extracting #2: cost 8 inf + 0 14.863 * * [simplify]: Extracting #3: cost 9 inf + 1 14.863 * * [simplify]: Extracting #4: cost 12 inf + 1 14.863 * * [simplify]: Extracting #5: cost 8 inf + 117 14.863 * * [simplify]: Extracting #6: cost 6 inf + 353 14.864 * * [simplify]: Extracting #7: cost 2 inf + 985 14.864 * * [simplify]: Extracting #8: cost 0 inf + 1381 14.865 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 14.865 * [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))))) 14.865 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 14.865 * * [simplify]: iters left: 6 (9 enodes) 14.870 * * [simplify]: iters left: 5 (28 enodes) 14.879 * * [simplify]: iters left: 4 (31 enodes) 14.888 * * [simplify]: Extracting #0: cost 1 inf + 0 14.888 * * [simplify]: Extracting #1: cost 4 inf + 0 14.888 * * [simplify]: Extracting #2: cost 8 inf + 0 14.888 * * [simplify]: Extracting #3: cost 9 inf + 1 14.888 * * [simplify]: Extracting #4: cost 12 inf + 1 14.889 * * [simplify]: Extracting #5: cost 8 inf + 117 14.889 * * [simplify]: Extracting #6: cost 6 inf + 353 14.889 * * [simplify]: Extracting #7: cost 2 inf + 985 14.889 * * [simplify]: Extracting #8: cost 0 inf + 1381 14.890 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 14.890 * [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))))) 14.890 * * * * [progress]: [ 49 / 169 ] simplifiying candidate # 14.891 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 14.891 * * [simplify]: iters left: 6 (9 enodes) 14.895 * * [simplify]: iters left: 5 (28 enodes) 14.904 * * [simplify]: iters left: 4 (31 enodes) 14.913 * * [simplify]: Extracting #0: cost 1 inf + 0 14.914 * * [simplify]: Extracting #1: cost 4 inf + 0 14.914 * * [simplify]: Extracting #2: cost 8 inf + 0 14.914 * * [simplify]: Extracting #3: cost 9 inf + 1 14.914 * * [simplify]: Extracting #4: cost 12 inf + 1 14.914 * * [simplify]: Extracting #5: cost 8 inf + 117 14.914 * * [simplify]: Extracting #6: cost 6 inf + 353 14.914 * * [simplify]: Extracting #7: cost 2 inf + 985 14.915 * * [simplify]: Extracting #8: cost 0 inf + 1381 14.915 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 14.915 * [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))))) 14.916 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 14.916 * * [simplify]: iters left: 6 (9 enodes) 14.921 * * [simplify]: iters left: 5 (28 enodes) 14.933 * * [simplify]: iters left: 4 (31 enodes) 14.942 * * [simplify]: Extracting #0: cost 1 inf + 0 14.942 * * [simplify]: Extracting #1: cost 4 inf + 0 14.942 * * [simplify]: Extracting #2: cost 8 inf + 0 14.942 * * [simplify]: Extracting #3: cost 9 inf + 1 14.942 * * [simplify]: Extracting #4: cost 12 inf + 1 14.942 * * [simplify]: Extracting #5: cost 8 inf + 117 14.942 * * [simplify]: Extracting #6: cost 6 inf + 353 14.943 * * [simplify]: Extracting #7: cost 2 inf + 985 14.943 * * [simplify]: Extracting #8: cost 0 inf + 1381 14.944 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 14.944 * [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))))) 14.944 * * * * [progress]: [ 50 / 169 ] simplifiying candidate # 14.944 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 14.944 * * [simplify]: iters left: 3 (3 enodes) 14.948 * * [simplify]: iters left: 2 (9 enodes) 14.951 * * [simplify]: iters left: 1 (11 enodes) 14.954 * * [simplify]: Extracting #0: cost 1 inf + 0 14.954 * * [simplify]: Extracting #1: cost 0 inf + 1 14.954 * [simplify]: Simplified to 1 14.954 * [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))))) 14.955 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 14.955 * * [simplify]: iters left: 6 (8 enodes) 14.959 * * [simplify]: iters left: 5 (25 enodes) 14.968 * * [simplify]: iters left: 4 (28 enodes) 14.977 * * [simplify]: Extracting #0: cost 1 inf + 0 14.977 * * [simplify]: Extracting #1: cost 5 inf + 0 14.977 * * [simplify]: Extracting #2: cost 7 inf + 1 14.977 * * [simplify]: Extracting #3: cost 10 inf + 1 14.977 * * [simplify]: Extracting #4: cost 8 inf + 3 14.977 * * [simplify]: Extracting #5: cost 3 inf + 491 14.978 * * [simplify]: Extracting #6: cost 1 inf + 767 14.978 * * [simplify]: Extracting #7: cost 0 inf + 945 14.979 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 14.979 * [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))))) 14.979 * * * * [progress]: [ 51 / 169 ] simplifiying candidate # 14.979 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 14.980 * * [simplify]: iters left: 3 (3 enodes) 14.983 * * [simplify]: iters left: 2 (9 enodes) 14.986 * * [simplify]: iters left: 1 (11 enodes) 14.989 * * [simplify]: Extracting #0: cost 1 inf + 0 14.989 * * [simplify]: Extracting #1: cost 0 inf + 1 14.989 * [simplify]: Simplified to 1 14.989 * [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))))) 14.989 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 14.989 * * [simplify]: iters left: 6 (8 enodes) 14.994 * * [simplify]: iters left: 5 (25 enodes) 15.002 * * [simplify]: iters left: 4 (28 enodes) 15.010 * * [simplify]: Extracting #0: cost 1 inf + 0 15.010 * * [simplify]: Extracting #1: cost 5 inf + 0 15.011 * * [simplify]: Extracting #2: cost 7 inf + 1 15.011 * * [simplify]: Extracting #3: cost 10 inf + 1 15.011 * * [simplify]: Extracting #4: cost 8 inf + 3 15.011 * * [simplify]: Extracting #5: cost 3 inf + 491 15.011 * * [simplify]: Extracting #6: cost 1 inf + 767 15.012 * * [simplify]: Extracting #7: cost 0 inf + 945 15.012 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 15.012 * [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))))) 15.012 * * * * [progress]: [ 52 / 169 ] simplifiying candidate # 15.013 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 15.013 * * [simplify]: iters left: 3 (3 enodes) 15.016 * * [simplify]: iters left: 2 (9 enodes) 15.019 * * [simplify]: iters left: 1 (11 enodes) 15.022 * * [simplify]: Extracting #0: cost 1 inf + 0 15.023 * * [simplify]: Extracting #1: cost 0 inf + 1 15.023 * [simplify]: Simplified to 1 15.023 * [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))))) 15.023 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 15.023 * * [simplify]: iters left: 6 (8 enodes) 15.028 * * [simplify]: iters left: 5 (25 enodes) 15.035 * * [simplify]: iters left: 4 (28 enodes) 15.044 * * [simplify]: Extracting #0: cost 1 inf + 0 15.044 * * [simplify]: Extracting #1: cost 5 inf + 0 15.044 * * [simplify]: Extracting #2: cost 7 inf + 1 15.044 * * [simplify]: Extracting #3: cost 10 inf + 1 15.044 * * [simplify]: Extracting #4: cost 8 inf + 3 15.045 * * [simplify]: Extracting #5: cost 3 inf + 491 15.045 * * [simplify]: Extracting #6: cost 1 inf + 767 15.045 * * [simplify]: Extracting #7: cost 0 inf + 945 15.046 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 15.046 * [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))))) 15.046 * * * * [progress]: [ 53 / 169 ] simplifiying candidate # 15.046 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 15.046 * * [simplify]: iters left: 3 (3 enodes) 15.050 * * [simplify]: iters left: 2 (9 enodes) 15.053 * * [simplify]: iters left: 1 (11 enodes) 15.056 * * [simplify]: Extracting #0: cost 1 inf + 0 15.056 * * [simplify]: Extracting #1: cost 0 inf + 1 15.056 * [simplify]: Simplified to 1 15.056 * [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))))) 15.056 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 15.056 * * [simplify]: iters left: 6 (8 enodes) 15.061 * * [simplify]: iters left: 5 (25 enodes) 15.069 * * [simplify]: iters left: 4 (28 enodes) 15.077 * * [simplify]: Extracting #0: cost 1 inf + 0 15.077 * * [simplify]: Extracting #1: cost 5 inf + 0 15.077 * * [simplify]: Extracting #2: cost 7 inf + 1 15.077 * * [simplify]: Extracting #3: cost 10 inf + 1 15.077 * * [simplify]: Extracting #4: cost 8 inf + 3 15.077 * * [simplify]: Extracting #5: cost 3 inf + 491 15.078 * * [simplify]: Extracting #6: cost 1 inf + 767 15.078 * * [simplify]: Extracting #7: cost 0 inf + 945 15.078 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 15.079 * [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))))) 15.079 * * * * [progress]: [ 54 / 169 ] simplifiying candidate # 15.079 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 15.079 * * [simplify]: iters left: 6 (9 enodes) 15.084 * * [simplify]: iters left: 5 (28 enodes) 15.090 * * [simplify]: iters left: 4 (31 enodes) 15.094 * * [simplify]: Extracting #0: cost 1 inf + 0 15.095 * * [simplify]: Extracting #1: cost 4 inf + 0 15.095 * * [simplify]: Extracting #2: cost 8 inf + 0 15.095 * * [simplify]: Extracting #3: cost 9 inf + 1 15.095 * * [simplify]: Extracting #4: cost 12 inf + 1 15.095 * * [simplify]: Extracting #5: cost 8 inf + 117 15.095 * * [simplify]: Extracting #6: cost 6 inf + 353 15.095 * * [simplify]: Extracting #7: cost 2 inf + 985 15.095 * * [simplify]: Extracting #8: cost 0 inf + 1381 15.095 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 15.096 * [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))))) 15.096 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 15.096 * * [simplify]: iters left: 6 (9 enodes) 15.098 * * [simplify]: iters left: 5 (28 enodes) 15.103 * * [simplify]: iters left: 4 (31 enodes) 15.108 * * [simplify]: Extracting #0: cost 1 inf + 0 15.108 * * [simplify]: Extracting #1: cost 4 inf + 0 15.108 * * [simplify]: Extracting #2: cost 8 inf + 0 15.108 * * [simplify]: Extracting #3: cost 9 inf + 1 15.108 * * [simplify]: Extracting #4: cost 12 inf + 1 15.108 * * [simplify]: Extracting #5: cost 8 inf + 117 15.108 * * [simplify]: Extracting #6: cost 6 inf + 353 15.108 * * [simplify]: Extracting #7: cost 2 inf + 985 15.109 * * [simplify]: Extracting #8: cost 0 inf + 1381 15.109 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 15.109 * [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))))) 15.109 * * * * [progress]: [ 55 / 169 ] simplifiying candidate # 15.109 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 15.109 * * [simplify]: iters left: 6 (9 enodes) 15.112 * * [simplify]: iters left: 5 (28 enodes) 15.116 * * [simplify]: iters left: 4 (31 enodes) 15.121 * * [simplify]: Extracting #0: cost 1 inf + 0 15.121 * * [simplify]: Extracting #1: cost 4 inf + 0 15.121 * * [simplify]: Extracting #2: cost 8 inf + 0 15.121 * * [simplify]: Extracting #3: cost 9 inf + 1 15.121 * * [simplify]: Extracting #4: cost 12 inf + 1 15.121 * * [simplify]: Extracting #5: cost 8 inf + 117 15.121 * * [simplify]: Extracting #6: cost 6 inf + 353 15.121 * * [simplify]: Extracting #7: cost 2 inf + 985 15.121 * * [simplify]: Extracting #8: cost 0 inf + 1381 15.122 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 15.122 * [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))))) 15.122 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 15.122 * * [simplify]: iters left: 6 (9 enodes) 15.125 * * [simplify]: iters left: 5 (28 enodes) 15.129 * * [simplify]: iters left: 4 (31 enodes) 15.134 * * [simplify]: Extracting #0: cost 1 inf + 0 15.134 * * [simplify]: Extracting #1: cost 4 inf + 0 15.134 * * [simplify]: Extracting #2: cost 8 inf + 0 15.134 * * [simplify]: Extracting #3: cost 9 inf + 1 15.134 * * [simplify]: Extracting #4: cost 12 inf + 1 15.134 * * [simplify]: Extracting #5: cost 8 inf + 117 15.134 * * [simplify]: Extracting #6: cost 6 inf + 353 15.134 * * [simplify]: Extracting #7: cost 2 inf + 985 15.135 * * [simplify]: Extracting #8: cost 0 inf + 1381 15.135 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 15.135 * [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))))) 15.135 * * * * [progress]: [ 56 / 169 ] simplifiying candidate # 15.135 * [simplify]: Simplifying (* 1 1) 15.135 * * [simplify]: iters left: 2 (2 enodes) 15.136 * * [simplify]: iters left: 1 (6 enodes) 15.138 * * [simplify]: Extracting #0: cost 1 inf + 0 15.138 * * [simplify]: Extracting #1: cost 0 inf + 1 15.138 * [simplify]: Simplified to 1 15.138 * [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))))) 15.139 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 15.139 * * [simplify]: iters left: 6 (8 enodes) 15.143 * * [simplify]: iters left: 5 (25 enodes) 15.151 * * [simplify]: iters left: 4 (28 enodes) 15.159 * * [simplify]: Extracting #0: cost 1 inf + 0 15.159 * * [simplify]: Extracting #1: cost 5 inf + 0 15.159 * * [simplify]: Extracting #2: cost 7 inf + 1 15.159 * * [simplify]: Extracting #3: cost 10 inf + 1 15.159 * * [simplify]: Extracting #4: cost 8 inf + 3 15.159 * * [simplify]: Extracting #5: cost 3 inf + 491 15.159 * * [simplify]: Extracting #6: cost 1 inf + 767 15.160 * * [simplify]: Extracting #7: cost 0 inf + 945 15.160 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 15.160 * [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))))) 15.160 * * * * [progress]: [ 57 / 169 ] simplifiying candidate # 15.161 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 15.161 * * [simplify]: iters left: 6 (9 enodes) 15.165 * * [simplify]: iters left: 5 (28 enodes) 15.174 * * [simplify]: iters left: 4 (31 enodes) 15.183 * * [simplify]: Extracting #0: cost 1 inf + 0 15.183 * * [simplify]: Extracting #1: cost 4 inf + 0 15.183 * * [simplify]: Extracting #2: cost 8 inf + 0 15.183 * * [simplify]: Extracting #3: cost 9 inf + 1 15.183 * * [simplify]: Extracting #4: cost 12 inf + 1 15.183 * * [simplify]: Extracting #5: cost 8 inf + 117 15.183 * * [simplify]: Extracting #6: cost 6 inf + 353 15.184 * * [simplify]: Extracting #7: cost 2 inf + 985 15.184 * * [simplify]: Extracting #8: cost 0 inf + 1381 15.185 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 15.185 * [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))))) 15.185 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 15.185 * * [simplify]: iters left: 6 (9 enodes) 15.190 * * [simplify]: iters left: 5 (28 enodes) 15.195 * * [simplify]: iters left: 4 (31 enodes) 15.201 * * [simplify]: Extracting #0: cost 1 inf + 0 15.201 * * [simplify]: Extracting #1: cost 4 inf + 0 15.201 * * [simplify]: Extracting #2: cost 8 inf + 0 15.201 * * [simplify]: Extracting #3: cost 9 inf + 1 15.201 * * [simplify]: Extracting #4: cost 12 inf + 1 15.201 * * [simplify]: Extracting #5: cost 8 inf + 117 15.201 * * [simplify]: Extracting #6: cost 6 inf + 353 15.202 * * [simplify]: Extracting #7: cost 2 inf + 985 15.202 * * [simplify]: Extracting #8: cost 0 inf + 1381 15.202 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 15.202 * [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))))) 15.202 * * * * [progress]: [ 58 / 169 ] simplifiying candidate # 15.203 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 15.203 * * [simplify]: iters left: 6 (9 enodes) 15.205 * * [simplify]: iters left: 5 (28 enodes) 15.210 * * [simplify]: iters left: 4 (31 enodes) 15.215 * * [simplify]: Extracting #0: cost 1 inf + 0 15.215 * * [simplify]: Extracting #1: cost 4 inf + 0 15.215 * * [simplify]: Extracting #2: cost 8 inf + 0 15.215 * * [simplify]: Extracting #3: cost 9 inf + 1 15.215 * * [simplify]: Extracting #4: cost 12 inf + 1 15.215 * * [simplify]: Extracting #5: cost 8 inf + 117 15.215 * * [simplify]: Extracting #6: cost 6 inf + 353 15.215 * * [simplify]: Extracting #7: cost 2 inf + 985 15.216 * * [simplify]: Extracting #8: cost 0 inf + 1381 15.216 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 15.216 * [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))))) 15.216 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 15.216 * * [simplify]: iters left: 6 (9 enodes) 15.219 * * [simplify]: iters left: 5 (28 enodes) 15.227 * * [simplify]: iters left: 4 (31 enodes) 15.236 * * [simplify]: Extracting #0: cost 1 inf + 0 15.236 * * [simplify]: Extracting #1: cost 4 inf + 0 15.236 * * [simplify]: Extracting #2: cost 8 inf + 0 15.236 * * [simplify]: Extracting #3: cost 9 inf + 1 15.236 * * [simplify]: Extracting #4: cost 12 inf + 1 15.236 * * [simplify]: Extracting #5: cost 8 inf + 117 15.236 * * [simplify]: Extracting #6: cost 6 inf + 353 15.236 * * [simplify]: Extracting #7: cost 2 inf + 985 15.236 * * [simplify]: Extracting #8: cost 0 inf + 1381 15.237 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 15.237 * [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))))) 15.237 * * * * [progress]: [ 59 / 169 ] simplifiying candidate # 15.237 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 15.237 * * [simplify]: iters left: 6 (9 enodes) 15.239 * * [simplify]: iters left: 5 (28 enodes) 15.244 * * [simplify]: iters left: 4 (31 enodes) 15.248 * * [simplify]: Extracting #0: cost 1 inf + 0 15.248 * * [simplify]: Extracting #1: cost 4 inf + 0 15.248 * * [simplify]: Extracting #2: cost 8 inf + 0 15.248 * * [simplify]: Extracting #3: cost 9 inf + 1 15.249 * * [simplify]: Extracting #4: cost 12 inf + 1 15.249 * * [simplify]: Extracting #5: cost 8 inf + 117 15.249 * * [simplify]: Extracting #6: cost 6 inf + 353 15.249 * * [simplify]: Extracting #7: cost 2 inf + 985 15.249 * * [simplify]: Extracting #8: cost 0 inf + 1381 15.250 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 15.250 * [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))))) 15.250 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 15.250 * * [simplify]: iters left: 6 (9 enodes) 15.252 * * [simplify]: iters left: 5 (28 enodes) 15.257 * * [simplify]: iters left: 4 (31 enodes) 15.262 * * [simplify]: Extracting #0: cost 1 inf + 0 15.262 * * [simplify]: Extracting #1: cost 4 inf + 0 15.262 * * [simplify]: Extracting #2: cost 8 inf + 0 15.262 * * [simplify]: Extracting #3: cost 9 inf + 1 15.262 * * [simplify]: Extracting #4: cost 12 inf + 1 15.262 * * [simplify]: Extracting #5: cost 8 inf + 117 15.262 * * [simplify]: Extracting #6: cost 6 inf + 353 15.262 * * [simplify]: Extracting #7: cost 2 inf + 985 15.262 * * [simplify]: Extracting #8: cost 0 inf + 1381 15.263 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 15.263 * [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))))) 15.263 * * * * [progress]: [ 60 / 169 ] simplifiying candidate # 15.263 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 15.263 * * [simplify]: iters left: 6 (9 enodes) 15.265 * * [simplify]: iters left: 5 (28 enodes) 15.270 * * [simplify]: iters left: 4 (31 enodes) 15.277 * * [simplify]: Extracting #0: cost 1 inf + 0 15.277 * * [simplify]: Extracting #1: cost 4 inf + 0 15.277 * * [simplify]: Extracting #2: cost 8 inf + 0 15.277 * * [simplify]: Extracting #3: cost 9 inf + 1 15.277 * * [simplify]: Extracting #4: cost 12 inf + 1 15.277 * * [simplify]: Extracting #5: cost 8 inf + 117 15.277 * * [simplify]: Extracting #6: cost 6 inf + 353 15.277 * * [simplify]: Extracting #7: cost 2 inf + 985 15.277 * * [simplify]: Extracting #8: cost 0 inf + 1381 15.278 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 15.278 * [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))))) 15.278 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 15.278 * * [simplify]: iters left: 6 (9 enodes) 15.280 * * [simplify]: iters left: 5 (28 enodes) 15.285 * * [simplify]: iters left: 4 (31 enodes) 15.289 * * [simplify]: Extracting #0: cost 1 inf + 0 15.289 * * [simplify]: Extracting #1: cost 4 inf + 0 15.289 * * [simplify]: Extracting #2: cost 8 inf + 0 15.289 * * [simplify]: Extracting #3: cost 9 inf + 1 15.289 * * [simplify]: Extracting #4: cost 12 inf + 1 15.289 * * [simplify]: Extracting #5: cost 8 inf + 117 15.289 * * [simplify]: Extracting #6: cost 6 inf + 353 15.290 * * [simplify]: Extracting #7: cost 2 inf + 985 15.290 * * [simplify]: Extracting #8: cost 0 inf + 1381 15.290 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 15.290 * [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))))) 15.290 * * * * [progress]: [ 61 / 169 ] simplifiying candidate # 15.292 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 15.292 * * [simplify]: iters left: 5 (6 enodes) 15.294 * * [simplify]: iters left: 4 (21 enodes) 15.298 * * [simplify]: iters left: 3 (23 enodes) 15.301 * * [simplify]: Extracting #0: cost 1 inf + 0 15.301 * * [simplify]: Extracting #1: cost 4 inf + 0 15.302 * * [simplify]: Extracting #2: cost 5 inf + 1 15.302 * * [simplify]: Extracting #3: cost 8 inf + 1 15.302 * * [simplify]: Extracting #4: cost 6 inf + 3 15.302 * * [simplify]: Extracting #5: cost 0 inf + 589 15.302 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 15.302 * [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))))) 15.302 * [simplify]: Simplifying (* 2 1/2) 15.302 * * [simplify]: iters left: 2 (3 enodes) 15.304 * * [simplify]: iters left: 1 (11 enodes) 15.306 * * [simplify]: Extracting #0: cost 1 inf + 0 15.306 * * [simplify]: Extracting #1: cost 0 inf + 1 15.306 * [simplify]: Simplified to 1 15.306 * [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))))) 15.306 * * * * [progress]: [ 62 / 169 ] simplifiying candidate # 15.306 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 15.307 * * [simplify]: iters left: 6 (7 enodes) 15.309 * * [simplify]: iters left: 5 (24 enodes) 15.318 * * [simplify]: iters left: 4 (26 enodes) 15.326 * * [simplify]: Extracting #0: cost 1 inf + 0 15.326 * * [simplify]: Extracting #1: cost 3 inf + 0 15.326 * * [simplify]: Extracting #2: cost 6 inf + 0 15.326 * * [simplify]: Extracting #3: cost 7 inf + 1 15.326 * * [simplify]: Extracting #4: cost 10 inf + 1 15.327 * * [simplify]: Extracting #5: cost 6 inf + 117 15.327 * * [simplify]: Extracting #6: cost 2 inf + 629 15.327 * * [simplify]: Extracting #7: cost 0 inf + 945 15.328 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 15.328 * [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))))) 15.328 * [simplify]: Simplifying (* 2 1) 15.328 * * [simplify]: iters left: 2 (3 enodes) 15.331 * * [simplify]: iters left: 1 (9 enodes) 15.334 * * [simplify]: Extracting #0: cost 1 inf + 0 15.334 * * [simplify]: Extracting #1: cost 0 inf + 1 15.334 * [simplify]: Simplified to 2 15.334 * [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))))) 15.334 * * * * [progress]: [ 63 / 169 ] simplifiying candidate # 15.335 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 15.335 * * [simplify]: iters left: 5 (6 enodes) 15.338 * * [simplify]: iters left: 4 (21 enodes) 15.345 * * [simplify]: iters left: 3 (23 enodes) 15.353 * * [simplify]: Extracting #0: cost 1 inf + 0 15.353 * * [simplify]: Extracting #1: cost 4 inf + 0 15.353 * * [simplify]: Extracting #2: cost 5 inf + 1 15.353 * * [simplify]: Extracting #3: cost 8 inf + 1 15.353 * * [simplify]: Extracting #4: cost 6 inf + 3 15.353 * * [simplify]: Extracting #5: cost 0 inf + 589 15.354 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 15.354 * [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))))) 15.354 * [simplify]: Simplifying (* 2 (/ 1 2)) 15.354 * * [simplify]: iters left: 4 (4 enodes) 15.358 * * [simplify]: iters left: 3 (13 enodes) 15.362 * * [simplify]: iters left: 2 (15 enodes) 15.367 * * [simplify]: Extracting #0: cost 1 inf + 0 15.367 * * [simplify]: Extracting #1: cost 0 inf + 1 15.367 * [simplify]: Simplified to 1 15.367 * [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))))) 15.367 * * * * [progress]: [ 64 / 169 ] simplifiying candidate # 15.368 * [simplify]: Simplifying (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 15.368 * * [simplify]: iters left: 6 (8 enodes) 15.372 * * [simplify]: iters left: 5 (27 enodes) 15.380 * * [simplify]: iters left: 4 (29 enodes) 15.389 * * [simplify]: Extracting #0: cost 1 inf + 0 15.389 * * [simplify]: Extracting #1: cost 3 inf + 0 15.389 * * [simplify]: Extracting #2: cost 5 inf + 0 15.389 * * [simplify]: Extracting #3: cost 8 inf + 0 15.389 * * [simplify]: Extracting #4: cost 9 inf + 1 15.389 * * [simplify]: Extracting #5: cost 12 inf + 1 15.389 * * [simplify]: Extracting #6: cost 9 inf + 60 15.389 * * [simplify]: Extracting #7: cost 5 inf + 451 15.390 * * [simplify]: Extracting #8: cost 1 inf + 1203 15.390 * * [simplify]: Extracting #9: cost 0 inf + 1461 15.390 * [simplify]: Simplified to (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 15.390 * [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))))) 15.391 * * * * [progress]: [ 65 / 169 ] simplifiying candidate # 15.391 * [simplify]: Simplifying (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 15.391 * * [simplify]: iters left: 6 (8 enodes) 15.395 * * [simplify]: iters left: 5 (27 enodes) 15.404 * * [simplify]: iters left: 4 (29 enodes) 15.413 * * [simplify]: Extracting #0: cost 1 inf + 0 15.413 * * [simplify]: Extracting #1: cost 3 inf + 0 15.413 * * [simplify]: Extracting #2: cost 5 inf + 0 15.413 * * [simplify]: Extracting #3: cost 8 inf + 0 15.413 * * [simplify]: Extracting #4: cost 9 inf + 1 15.413 * * [simplify]: Extracting #5: cost 12 inf + 1 15.413 * * [simplify]: Extracting #6: cost 9 inf + 60 15.413 * * [simplify]: Extracting #7: cost 5 inf + 451 15.414 * * [simplify]: Extracting #8: cost 1 inf + 1283 15.414 * * [simplify]: Extracting #9: cost 0 inf + 1541 15.415 * [simplify]: Simplified to (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 15.415 * [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))))) 15.415 * * * * [progress]: [ 66 / 169 ] simplifiying candidate # 15.415 * [simplify]: Simplifying (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 15.415 * * [simplify]: iters left: 6 (8 enodes) 15.418 * * [simplify]: iters left: 5 (27 enodes) 15.422 * * [simplify]: iters left: 4 (29 enodes) 15.428 * * [simplify]: Extracting #0: cost 1 inf + 0 15.428 * * [simplify]: Extracting #1: cost 3 inf + 0 15.428 * * [simplify]: Extracting #2: cost 5 inf + 0 15.428 * * [simplify]: Extracting #3: cost 8 inf + 0 15.428 * * [simplify]: Extracting #4: cost 9 inf + 1 15.428 * * [simplify]: Extracting #5: cost 12 inf + 1 15.428 * * [simplify]: Extracting #6: cost 9 inf + 60 15.428 * * [simplify]: Extracting #7: cost 5 inf + 451 15.428 * * [simplify]: Extracting #8: cost 1 inf + 1163 15.429 * * [simplify]: Extracting #9: cost 0 inf + 1381 15.429 * [simplify]: Simplified to (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 15.429 * [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))))) 15.430 * * * * [progress]: [ 67 / 169 ] simplifiying candidate # 15.430 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 15.430 * * [simplify]: iters left: 6 (7 enodes) 15.432 * * [simplify]: iters left: 5 (24 enodes) 15.436 * * [simplify]: iters left: 4 (26 enodes) 15.440 * * [simplify]: Extracting #0: cost 1 inf + 0 15.440 * * [simplify]: Extracting #1: cost 3 inf + 0 15.440 * * [simplify]: Extracting #2: cost 6 inf + 0 15.440 * * [simplify]: Extracting #3: cost 7 inf + 1 15.440 * * [simplify]: Extracting #4: cost 10 inf + 1 15.440 * * [simplify]: Extracting #5: cost 6 inf + 117 15.440 * * [simplify]: Extracting #6: cost 2 inf + 629 15.440 * * [simplify]: Extracting #7: cost 0 inf + 945 15.441 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 15.441 * [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))))) 15.441 * * * * [progress]: [ 68 / 169 ] simplifiying candidate # 15.441 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 15.441 * * [simplify]: iters left: 6 (7 enodes) 15.443 * * [simplify]: iters left: 5 (24 enodes) 15.450 * * [simplify]: iters left: 4 (26 enodes) 15.458 * * [simplify]: Extracting #0: cost 1 inf + 0 15.458 * * [simplify]: Extracting #1: cost 3 inf + 0 15.458 * * [simplify]: Extracting #2: cost 6 inf + 0 15.458 * * [simplify]: Extracting #3: cost 7 inf + 1 15.458 * * [simplify]: Extracting #4: cost 10 inf + 1 15.458 * * [simplify]: Extracting #5: cost 6 inf + 117 15.458 * * [simplify]: Extracting #6: cost 2 inf + 629 15.458 * * [simplify]: Extracting #7: cost 0 inf + 945 15.459 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 15.459 * [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))))) 15.459 * * * * [progress]: [ 69 / 169 ] simplifiying candidate # 15.459 * [simplify]: Simplifying (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 15.460 * * [simplify]: iters left: 6 (8 enodes) 15.464 * * [simplify]: iters left: 5 (27 enodes) 15.472 * * [simplify]: iters left: 4 (29 enodes) 15.476 * * [simplify]: Extracting #0: cost 1 inf + 0 15.476 * * [simplify]: Extracting #1: cost 3 inf + 0 15.476 * * [simplify]: Extracting #2: cost 5 inf + 0 15.476 * * [simplify]: Extracting #3: cost 8 inf + 0 15.476 * * [simplify]: Extracting #4: cost 9 inf + 1 15.476 * * [simplify]: Extracting #5: cost 12 inf + 1 15.476 * * [simplify]: Extracting #6: cost 9 inf + 60 15.477 * * [simplify]: Extracting #7: cost 5 inf + 451 15.477 * * [simplify]: Extracting #8: cost 1 inf + 1163 15.477 * * [simplify]: Extracting #9: cost 0 inf + 1381 15.477 * [simplify]: Simplified to (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 15.477 * [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))))) 15.477 * * * * [progress]: [ 70 / 169 ] simplifiying candidate # 15.477 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 15.478 * * [simplify]: iters left: 6 (7 enodes) 15.480 * * [simplify]: iters left: 5 (24 enodes) 15.484 * * [simplify]: iters left: 4 (26 enodes) 15.488 * * [simplify]: Extracting #0: cost 1 inf + 0 15.488 * * [simplify]: Extracting #1: cost 3 inf + 0 15.488 * * [simplify]: Extracting #2: cost 6 inf + 0 15.488 * * [simplify]: Extracting #3: cost 7 inf + 1 15.488 * * [simplify]: Extracting #4: cost 10 inf + 1 15.488 * * [simplify]: Extracting #5: cost 6 inf + 117 15.488 * * [simplify]: Extracting #6: cost 2 inf + 629 15.488 * * [simplify]: Extracting #7: cost 0 inf + 945 15.489 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 15.489 * [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))))) 15.489 * * * * [progress]: [ 71 / 169 ] simplifiying candidate # 15.489 * [simplify]: Simplifying (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 15.489 * * [simplify]: iters left: 6 (9 enodes) 15.491 * * [simplify]: iters left: 5 (30 enodes) 15.496 * * [simplify]: iters left: 4 (32 enodes) 15.503 * * [simplify]: Extracting #0: cost 1 inf + 0 15.503 * * [simplify]: Extracting #1: cost 3 inf + 0 15.503 * * [simplify]: Extracting #2: cost 5 inf + 0 15.503 * * [simplify]: Extracting #3: cost 7 inf + 0 15.503 * * [simplify]: Extracting #4: cost 10 inf + 0 15.503 * * [simplify]: Extracting #5: cost 11 inf + 1 15.503 * * [simplify]: Extracting #6: cost 14 inf + 1 15.503 * * [simplify]: Extracting #7: cost 10 inf + 117 15.504 * * [simplify]: Extracting #8: cost 8 inf + 353 15.504 * * [simplify]: Extracting #9: cost 4 inf + 1025 15.504 * * [simplify]: Extracting #10: cost 0 inf + 2057 15.505 * [simplify]: Simplified to (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 15.505 * [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))))) 15.505 * * * * [progress]: [ 72 / 169 ] simplifiying candidate # 15.506 * [simplify]: Simplifying (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 15.506 * * [simplify]: iters left: 6 (9 enodes) 15.511 * * [simplify]: iters left: 5 (31 enodes) 15.520 * * [simplify]: iters left: 4 (33 enodes) 15.530 * * [simplify]: Extracting #0: cost 1 inf + 0 15.530 * * [simplify]: Extracting #1: cost 4 inf + 0 15.530 * * [simplify]: Extracting #2: cost 7 inf + 0 15.530 * * [simplify]: Extracting #3: cost 10 inf + 0 15.530 * * [simplify]: Extracting #4: cost 11 inf + 1 15.530 * * [simplify]: Extracting #5: cost 14 inf + 1 15.530 * * [simplify]: Extracting #6: cost 11 inf + 60 15.530 * * [simplify]: Extracting #7: cost 7 inf + 451 15.531 * * [simplify]: Extracting #8: cost 0 inf + 2057 15.532 * [simplify]: Simplified to (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 15.532 * [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))))) 15.532 * * * * [progress]: [ 73 / 169 ] simplifiying candidate # 15.532 * [simplify]: Simplifying (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 15.532 * * [simplify]: iters left: 6 (8 enodes) 15.537 * * [simplify]: iters left: 5 (27 enodes) 15.545 * * [simplify]: iters left: 4 (29 enodes) 15.556 * * [simplify]: Extracting #0: cost 1 inf + 0 15.556 * * [simplify]: Extracting #1: cost 3 inf + 0 15.556 * * [simplify]: Extracting #2: cost 5 inf + 0 15.557 * * [simplify]: Extracting #3: cost 8 inf + 0 15.557 * * [simplify]: Extracting #4: cost 9 inf + 1 15.557 * * [simplify]: Extracting #5: cost 12 inf + 1 15.557 * * [simplify]: Extracting #6: cost 9 inf + 60 15.557 * * [simplify]: Extracting #7: cost 5 inf + 451 15.557 * * [simplify]: Extracting #8: cost 1 inf + 1163 15.558 * * [simplify]: Extracting #9: cost 0 inf + 1381 15.558 * [simplify]: Simplified to (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 15.558 * [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))))) 15.559 * * * * [progress]: [ 74 / 169 ] simplifiying candidate # 15.559 * [simplify]: Simplifying (sqrt 1) 15.559 * * [simplify]: iters left: 1 (2 enodes) 15.562 * * [simplify]: Extracting #0: cost 1 inf + 0 15.562 * * [simplify]: Extracting #1: cost 0 inf + 1 15.562 * [simplify]: Simplified to 1 15.562 * [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))))) 15.562 * * * * [progress]: [ 75 / 169 ] simplifiying candidate # 15.562 * [simplify]: Simplifying (sqrt 1) 15.562 * * [simplify]: iters left: 1 (2 enodes) 15.564 * * [simplify]: Extracting #0: cost 1 inf + 0 15.564 * * [simplify]: Extracting #1: cost 0 inf + 1 15.564 * [simplify]: Simplified to 1 15.564 * [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))))) 15.564 * * * * [progress]: [ 76 / 169 ] simplifiying candidate # 15.564 * [simplify]: Simplifying (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 15.564 * * [simplify]: iters left: 6 (8 enodes) 15.566 * * [simplify]: iters left: 5 (27 enodes) 15.571 * * [simplify]: iters left: 4 (29 enodes) 15.575 * * [simplify]: Extracting #0: cost 1 inf + 0 15.576 * * [simplify]: Extracting #1: cost 3 inf + 0 15.576 * * [simplify]: Extracting #2: cost 5 inf + 0 15.576 * * [simplify]: Extracting #3: cost 8 inf + 0 15.576 * * [simplify]: Extracting #4: cost 9 inf + 1 15.576 * * [simplify]: Extracting #5: cost 12 inf + 1 15.576 * * [simplify]: Extracting #6: cost 9 inf + 60 15.576 * * [simplify]: Extracting #7: cost 5 inf + 451 15.576 * * [simplify]: Extracting #8: cost 1 inf + 1163 15.576 * * [simplify]: Extracting #9: cost 0 inf + 1381 15.576 * [simplify]: Simplified to (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 15.577 * [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))))) 15.577 * * * * [progress]: [ 77 / 169 ] simplifiying candidate # 15.577 * * * * [progress]: [ 78 / 169 ] simplifiying candidate # 15.577 * [simplify]: Simplifying (sqrt (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) 1/2)))) 15.577 * * [simplify]: iters left: 6 (11 enodes) 15.581 * * [simplify]: iters left: 5 (49 enodes) 15.590 * * [simplify]: iters left: 4 (79 enodes) 15.602 * * [simplify]: iters left: 3 (109 enodes) 15.622 * * [simplify]: iters left: 2 (170 enodes) 15.654 * * [simplify]: iters left: 1 (244 enodes) 15.711 * * [simplify]: Extracting #0: cost 1 inf + 0 15.711 * * [simplify]: Extracting #1: cost 3 inf + 0 15.711 * * [simplify]: Extracting #2: cost 30 inf + 0 15.711 * * [simplify]: Extracting #3: cost 64 inf + 3 15.711 * * [simplify]: Extracting #4: cost 71 inf + 4 15.712 * * [simplify]: Extracting #5: cost 69 inf + 6 15.713 * * [simplify]: Extracting #6: cost 42 inf + 3617 15.716 * * [simplify]: Extracting #7: cost 2 inf + 10228 15.719 * * [simplify]: Extracting #8: cost 0 inf + 10583 15.722 * * [simplify]: Extracting #9: cost 0 inf + 10543 15.726 * [simplify]: Simplified to (sqrt (fma (/ 1/2 (hypot 1 x)) (- (/ 1/2 (hypot 1 x)) 1/2) 1/4)) 15.726 * [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 (hypot 1 x)) 1/2) 1/4)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 15.726 * * * * [progress]: [ 79 / 169 ] simplifiying candidate # 15.726 * [simplify]: Simplifying (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) 15.726 * * [simplify]: iters left: 6 (7 enodes) 15.729 * * [simplify]: iters left: 5 (26 enodes) 15.734 * * [simplify]: iters left: 4 (30 enodes) 15.743 * * [simplify]: iters left: 3 (31 enodes) 15.752 * * [simplify]: Extracting #0: cost 1 inf + 0 15.752 * * [simplify]: Extracting #1: cost 3 inf + 0 15.752 * * [simplify]: Extracting #2: cost 7 inf + 0 15.752 * * [simplify]: Extracting #3: cost 7 inf + 2 15.752 * * [simplify]: Extracting #4: cost 10 inf + 2 15.753 * * [simplify]: Extracting #5: cost 6 inf + 118 15.753 * * [simplify]: Extracting #6: cost 4 inf + 354 15.753 * * [simplify]: Extracting #7: cost 1 inf + 768 15.753 * * [simplify]: Extracting #8: cost 0 inf + 946 15.754 * [simplify]: Simplified to (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) 15.754 * [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))))) 15.754 * * * * [progress]: [ 80 / 169 ] simplifiying candidate # 15.754 * [simplify]: Simplifying (* (sqrt (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3))) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 15.755 * * [simplify]: iters left: 6 (13 enodes) 15.765 * * [simplify]: iters left: 5 (61 enodes) 15.788 * * [simplify]: iters left: 4 (106 enodes) 15.837 * * [simplify]: iters left: 3 (195 enodes) 15.902 * * [simplify]: iters left: 2 (325 enodes) 16.052 * * [simplify]: Extracting #0: cost 1 inf + 0 16.052 * * [simplify]: Extracting #1: cost 4 inf + 0 16.052 * * [simplify]: Extracting #2: cost 8 inf + 0 16.052 * * [simplify]: Extracting #3: cost 16 inf + 0 16.052 * * [simplify]: Extracting #4: cost 59 inf + 2 16.053 * * [simplify]: Extracting #5: cost 111 inf + 6 16.054 * * [simplify]: Extracting #6: cost 91 inf + 3553 16.059 * * [simplify]: Extracting #7: cost 22 inf + 23070 16.068 * * [simplify]: Extracting #8: cost 2 inf + 33281 16.076 * * [simplify]: Extracting #9: cost 0 inf + 34863 16.085 * [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)))))) 16.085 * [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))))) 16.085 * * * * [progress]: [ 81 / 169 ] simplifiying candidate # 16.086 * [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))) 16.086 * * [simplify]: iters left: 6 (12 enodes) 16.094 * * [simplify]: iters left: 5 (51 enodes) 16.112 * * [simplify]: iters left: 4 (74 enodes) 16.131 * * [simplify]: iters left: 3 (100 enodes) 16.163 * * [simplify]: iters left: 2 (153 enodes) 16.195 * * [simplify]: iters left: 1 (204 enodes) 16.247 * * [simplify]: Extracting #0: cost 1 inf + 0 16.247 * * [simplify]: Extracting #1: cost 4 inf + 0 16.247 * * [simplify]: Extracting #2: cost 8 inf + 0 16.248 * * [simplify]: Extracting #3: cost 32 inf + 0 16.248 * * [simplify]: Extracting #4: cost 56 inf + 4 16.248 * * [simplify]: Extracting #5: cost 65 inf + 4 16.249 * * [simplify]: Extracting #6: cost 63 inf + 6 16.250 * * [simplify]: Extracting #7: cost 44 inf + 2516 16.255 * * [simplify]: Extracting #8: cost 4 inf + 9804 16.261 * * [simplify]: Extracting #9: cost 0 inf + 10445 16.267 * [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))))) 16.267 * [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))))) 16.268 * * * * [progress]: [ 82 / 169 ] 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)))))> 16.268 * * * * [progress]: [ 83 / 169 ] simplifiying candidate # 16.268 * * * * [progress]: [ 84 / 169 ] simplifiying candidate # 16.268 * * * * [progress]: [ 85 / 169 ] simplifiying candidate # 16.268 * * * * [progress]: [ 86 / 169 ] simplifiying candidate # 16.268 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 16.268 * * [simplify]: iters left: 3 (3 enodes) 16.274 * * [simplify]: iters left: 2 (11 enodes) 16.277 * * [simplify]: iters left: 1 (13 enodes) 16.280 * * [simplify]: Extracting #0: cost 1 inf + 0 16.280 * * [simplify]: Extracting #1: cost 0 inf + 1 16.280 * [simplify]: Simplified to 1 16.280 * [simplify]: Simplified (2 2 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (fma 1 (cbrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 16.281 * * * * [progress]: [ 87 / 169 ] simplifiying candidate # 16.281 * [simplify]: Simplifying (sqrt 1) 16.281 * * [simplify]: iters left: 1 (2 enodes) 16.284 * * [simplify]: Extracting #0: cost 1 inf + 0 16.284 * * [simplify]: Extracting #1: cost 0 inf + 1 16.284 * [simplify]: Simplified to 1 16.284 * [simplify]: Simplified (2 2 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (fma 1 (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 16.284 * * * * [progress]: [ 88 / 169 ] simplifiying candidate # 16.284 * * * * [progress]: [ 89 / 169 ] simplifiying candidate # 16.284 * [simplify]: Simplifying (* (exp 1) (exp (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 16.285 * * [simplify]: iters left: 6 (10 enodes) 16.290 * * [simplify]: iters left: 5 (35 enodes) 16.304 * * [simplify]: iters left: 4 (42 enodes) 16.315 * * [simplify]: Extracting #0: cost 1 inf + 0 16.315 * * [simplify]: Extracting #1: cost 5 inf + 0 16.315 * * [simplify]: Extracting #2: cost 8 inf + 1 16.315 * * [simplify]: Extracting #3: cost 9 inf + 2 16.316 * * [simplify]: Extracting #4: cost 12 inf + 2 16.316 * * [simplify]: Extracting #5: cost 13 inf + 3 16.316 * * [simplify]: Extracting #6: cost 15 inf + 3 16.316 * * [simplify]: Extracting #7: cost 14 inf + 4 16.316 * * [simplify]: Extracting #8: cost 12 inf + 159 16.316 * * [simplify]: Extracting #9: cost 7 inf + 768 16.317 * * [simplify]: Extracting #10: cost 1 inf + 2166 16.318 * * [simplify]: Extracting #11: cost 0 inf + 2454 16.319 * [simplify]: Simplified to (exp (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 16.319 * [simplify]: Simplified (2 2 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (log (exp (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 16.319 * * * * [progress]: [ 90 / 169 ] simplifiying candidate # 16.319 * * * * [progress]: [ 91 / 169 ] simplifiying candidate # 16.319 * * * * [progress]: [ 92 / 169 ] simplifiying candidate # 16.319 * * * * [progress]: [ 93 / 169 ] simplifiying candidate # 16.319 * * * * [progress]: [ 94 / 169 ] simplifiying candidate # 16.319 * * * * [progress]: [ 95 / 169 ] simplifiying candidate # 16.319 * * * * [progress]: [ 96 / 169 ] simplifiying candidate # 16.320 * * * * [progress]: [ 97 / 169 ] simplifiying candidate # 16.320 * * * * [progress]: [ 98 / 169 ] simplifiying candidate # 16.320 * * * * [progress]: [ 99 / 169 ] simplifiying candidate # 16.320 * [simplify]: Simplifying (sqrt 1) 16.320 * * [simplify]: iters left: 1 (2 enodes) 16.323 * * [simplify]: Extracting #0: cost 1 inf + 0 16.323 * * [simplify]: Extracting #1: cost 0 inf + 1 16.323 * [simplify]: Simplified to 1 16.323 * [simplify]: Simplified (2 2 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 (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 16.324 * [simplify]: Simplifying (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 16.324 * * [simplify]: iters left: 6 (9 enodes) 16.329 * * [simplify]: iters left: 5 (31 enodes) 16.338 * * [simplify]: iters left: 4 (33 enodes) 16.347 * * [simplify]: Extracting #0: cost 1 inf + 0 16.347 * * [simplify]: Extracting #1: cost 4 inf + 0 16.347 * * [simplify]: Extracting #2: cost 5 inf + 1 16.347 * * [simplify]: Extracting #3: cost 8 inf + 1 16.347 * * [simplify]: Extracting #4: cost 9 inf + 2 16.347 * * [simplify]: Extracting #5: cost 11 inf + 2 16.347 * * [simplify]: Extracting #6: cost 10 inf + 3 16.347 * * [simplify]: Extracting #7: cost 8 inf + 158 16.348 * * [simplify]: Extracting #8: cost 4 inf + 629 16.348 * * [simplify]: Extracting #9: cost 0 inf + 1381 16.349 * [simplify]: Simplified to (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 16.349 * [simplify]: Simplified (2 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)))))) 16.349 * * * * [progress]: [ 100 / 169 ] simplifiying candidate # 16.349 * [simplify]: Simplifying (sqrt 1) 16.349 * * [simplify]: iters left: 1 (2 enodes) 16.353 * * [simplify]: Extracting #0: cost 1 inf + 0 16.353 * * [simplify]: Extracting #1: cost 0 inf + 1 16.353 * [simplify]: Simplified to 1 16.353 * [simplify]: Simplified (2 2 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 (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 16.353 * [simplify]: Simplifying (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 16.353 * * [simplify]: iters left: 6 (9 enodes) 16.358 * * [simplify]: iters left: 5 (31 enodes) 16.367 * * [simplify]: iters left: 4 (33 enodes) 16.377 * * [simplify]: Extracting #0: cost 1 inf + 0 16.377 * * [simplify]: Extracting #1: cost 4 inf + 0 16.377 * * [simplify]: Extracting #2: cost 5 inf + 1 16.377 * * [simplify]: Extracting #3: cost 8 inf + 1 16.377 * * [simplify]: Extracting #4: cost 9 inf + 2 16.377 * * [simplify]: Extracting #5: cost 11 inf + 2 16.377 * * [simplify]: Extracting #6: cost 10 inf + 3 16.377 * * [simplify]: Extracting #7: cost 8 inf + 158 16.377 * * [simplify]: Extracting #8: cost 4 inf + 629 16.378 * * [simplify]: Extracting #9: cost 0 inf + 1381 16.378 * [simplify]: Simplified to (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 16.378 * [simplify]: Simplified (2 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)))))) 16.379 * * * * [progress]: [ 101 / 169 ] simplifiying candidate # 16.379 * [simplify]: Simplifying (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 16.379 * * [simplify]: iters left: 6 (8 enodes) 16.383 * * [simplify]: iters left: 5 (28 enodes) 16.392 * * [simplify]: iters left: 4 (30 enodes) 16.401 * * [simplify]: Extracting #0: cost 1 inf + 0 16.401 * * [simplify]: Extracting #1: cost 4 inf + 0 16.401 * * [simplify]: Extracting #2: cost 5 inf + 1 16.401 * * [simplify]: Extracting #3: cost 8 inf + 1 16.401 * * [simplify]: Extracting #4: cost 9 inf + 2 16.401 * * [simplify]: Extracting #5: cost 11 inf + 2 16.402 * * [simplify]: Extracting #6: cost 9 inf + 60 16.402 * * [simplify]: Extracting #7: cost 5 inf + 451 16.402 * * [simplify]: Extracting #8: cost 1 inf + 1163 16.403 * * [simplify]: Extracting #9: cost 0 inf + 1381 16.403 * [simplify]: Simplified to (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 16.403 * [simplify]: Simplified (2 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)))))))) 16.403 * * * * [progress]: [ 102 / 169 ] simplifiying candidate #real (real->posit16 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))> 16.403 * * * * [progress]: [ 103 / 169 ] simplifiying candidate # 16.403 * * * * [progress]: [ 104 / 169 ] simplifiying candidate # 16.404 * * * * [progress]: [ 105 / 169 ] simplifiying candidate # 16.404 * * * * [progress]: [ 106 / 169 ] simplifiying candidate # 16.404 * * * * [progress]: [ 107 / 169 ] simplifiying candidate # 16.404 * [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))))) 16.404 * * [simplify]: iters left: 6 (14 enodes) 16.412 * * [simplify]: iters left: 5 (48 enodes) 16.427 * * [simplify]: iters left: 4 (66 enodes) 16.441 * * [simplify]: iters left: 3 (79 enodes) 16.454 * * [simplify]: iters left: 2 (90 enodes) 16.468 * * [simplify]: iters left: 1 (98 enodes) 16.493 * * [simplify]: Extracting #0: cost 1 inf + 0 16.493 * * [simplify]: Extracting #1: cost 5 inf + 0 16.493 * * [simplify]: Extracting #2: cost 12 inf + 0 16.494 * * [simplify]: Extracting #3: cost 25 inf + 0 16.494 * * [simplify]: Extracting #4: cost 30 inf + 3 16.494 * * [simplify]: Extracting #5: cost 31 inf + 4 16.494 * * [simplify]: Extracting #6: cost 25 inf + 453 16.495 * * [simplify]: Extracting #7: cost 15 inf + 1893 16.497 * * [simplify]: Extracting #8: cost 6 inf + 3915 16.499 * * [simplify]: Extracting #9: cost 0 inf + 5523 16.501 * [simplify]: Simplified to (- (log (- 1/2 (/ 1/2 (hypot 1 x)))) (log1p (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 16.501 * [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)))))) 16.501 * * * * [progress]: [ 108 / 169 ] simplifiying candidate # 16.501 * * * * [progress]: [ 109 / 169 ] simplifiying candidate # 16.501 * * * * [progress]: [ 110 / 169 ] simplifiying candidate # 16.502 * [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))))) 16.502 * * [simplify]: iters left: 6 (16 enodes) 16.509 * * [simplify]: iters left: 5 (72 enodes) 16.525 * * [simplify]: iters left: 4 (172 enodes) 16.603 * * [simplify]: iters left: 3 (437 enodes) 16.959 * * [simplify]: Extracting #0: cost 1 inf + 0 16.959 * * [simplify]: Extracting #1: cost 48 inf + 0 16.961 * * [simplify]: Extracting #2: cost 242 inf + 2 16.964 * * [simplify]: Extracting #3: cost 383 inf + 5 16.967 * * [simplify]: Extracting #4: cost 403 inf + 7 16.973 * * [simplify]: Extracting #5: cost 347 inf + 10153 17.000 * * [simplify]: Extracting #6: cost 148 inf + 70596 17.071 * * [simplify]: Extracting #7: cost 9 inf + 120109 17.119 * * [simplify]: Extracting #8: cost 0 inf + 122872 17.190 * [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))))) 17.190 * [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))))))) 17.190 * * * * [progress]: [ 111 / 169 ] simplifiying candidate # 17.190 * * * * [progress]: [ 112 / 169 ] simplifiying candidate # 17.190 * * * * [progress]: [ 113 / 169 ] simplifiying candidate # 17.190 * * * * [progress]: [ 114 / 169 ] simplifiying candidate # 17.190 * * * * [progress]: [ 115 / 169 ] simplifiying candidate # 17.191 * [simplify]: Simplifying (/ (* 1 1) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 17.191 * * [simplify]: iters left: 6 (10 enodes) 17.193 * * [simplify]: iters left: 5 (32 enodes) 17.198 * * [simplify]: iters left: 4 (34 enodes) 17.204 * * [simplify]: Extracting #0: cost 1 inf + 0 17.204 * * [simplify]: Extracting #1: cost 4 inf + 0 17.204 * * [simplify]: Extracting #2: cost 5 inf + 1 17.204 * * [simplify]: Extracting #3: cost 7 inf + 1 17.204 * * [simplify]: Extracting #4: cost 10 inf + 1 17.204 * * [simplify]: Extracting #5: cost 11 inf + 2 17.204 * * [simplify]: Extracting #6: cost 13 inf + 2 17.204 * * [simplify]: Extracting #7: cost 12 inf + 3 17.204 * * [simplify]: Extracting #8: cost 9 inf + 215 17.204 * * [simplify]: Extracting #9: cost 5 inf + 767 17.205 * * [simplify]: Extracting #10: cost 0 inf + 1897 17.205 * [simplify]: Simplified to (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 17.205 * [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)))))) 17.205 * * * * [progress]: [ 116 / 169 ] simplifiying candidate # 17.205 * [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)))))) 17.205 * * [simplify]: iters left: 6 (16 enodes) 17.210 * * [simplify]: iters left: 5 (57 enodes) 17.225 * * [simplify]: iters left: 4 (86 enodes) 17.249 * * [simplify]: iters left: 3 (106 enodes) 17.265 * * [simplify]: iters left: 2 (120 enodes) 17.285 * * [simplify]: iters left: 1 (128 enodes) 17.305 * * [simplify]: Extracting #0: cost 1 inf + 0 17.305 * * [simplify]: Extracting #1: cost 11 inf + 0 17.305 * * [simplify]: Extracting #2: cost 22 inf + 0 17.305 * * [simplify]: Extracting #3: cost 35 inf + 0 17.306 * * [simplify]: Extracting #4: cost 42 inf + 3 17.306 * * [simplify]: Extracting #5: cost 43 inf + 4 17.306 * * [simplify]: Extracting #6: cost 33 inf + 1005 17.307 * * [simplify]: Extracting #7: cost 19 inf + 3417 17.308 * * [simplify]: Extracting #8: cost 8 inf + 7575 17.310 * * [simplify]: Extracting #9: cost 0 inf + 11159 17.314 * [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)))))) 17.314 * [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))))))) 17.314 * [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))))) 17.314 * * [simplify]: iters left: 6 (14 enodes) 17.318 * * [simplify]: iters left: 5 (45 enodes) 17.330 * * [simplify]: iters left: 4 (59 enodes) 17.342 * * [simplify]: iters left: 3 (72 enodes) 17.353 * * [simplify]: iters left: 2 (83 enodes) 17.371 * * [simplify]: iters left: 1 (91 enodes) 17.390 * * [simplify]: Extracting #0: cost 1 inf + 0 17.390 * * [simplify]: Extracting #1: cost 4 inf + 0 17.390 * * [simplify]: Extracting #2: cost 8 inf + 0 17.390 * * [simplify]: Extracting #3: cost 21 inf + 0 17.390 * * [simplify]: Extracting #4: cost 28 inf + 3 17.390 * * [simplify]: Extracting #5: cost 29 inf + 4 17.390 * * [simplify]: Extracting #6: cost 28 inf + 5 17.391 * * [simplify]: Extracting #7: cost 23 inf + 453 17.391 * * [simplify]: Extracting #8: cost 14 inf + 1775 17.392 * * [simplify]: Extracting #9: cost 5 inf + 3697 17.393 * * [simplify]: Extracting #10: cost 0 inf + 5067 17.394 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 17.394 * [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))))))) 17.394 * * * * [progress]: [ 117 / 169 ] simplifiying candidate # 17.394 * [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))))) 17.394 * * [simplify]: iters left: 6 (15 enodes) 17.398 * * [simplify]: iters left: 5 (50 enodes) 17.407 * * [simplify]: iters left: 4 (68 enodes) 17.424 * * [simplify]: iters left: 3 (84 enodes) 17.438 * * [simplify]: iters left: 2 (95 enodes) 17.451 * * [simplify]: iters left: 1 (103 enodes) 17.473 * * [simplify]: Extracting #0: cost 1 inf + 0 17.473 * * [simplify]: Extracting #1: cost 7 inf + 0 17.473 * * [simplify]: Extracting #2: cost 14 inf + 0 17.473 * * [simplify]: Extracting #3: cost 27 inf + 0 17.473 * * [simplify]: Extracting #4: cost 34 inf + 3 17.474 * * [simplify]: Extracting #5: cost 35 inf + 4 17.474 * * [simplify]: Extracting #6: cost 29 inf + 534 17.475 * * [simplify]: Extracting #7: cost 15 inf + 2705 17.477 * * [simplify]: Extracting #8: cost 8 inf + 4111 17.479 * * [simplify]: Extracting #9: cost 1 inf + 6757 17.482 * * [simplify]: Extracting #10: cost 0 inf + 7175 17.484 * [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)))))) 17.485 * [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))))))) 17.485 * [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))))) 17.485 * * [simplify]: iters left: 6 (14 enodes) 17.490 * * [simplify]: iters left: 5 (45 enodes) 17.497 * * [simplify]: iters left: 4 (59 enodes) 17.507 * * [simplify]: iters left: 3 (72 enodes) 17.522 * * [simplify]: iters left: 2 (83 enodes) 17.540 * * [simplify]: iters left: 1 (91 enodes) 17.554 * * [simplify]: Extracting #0: cost 1 inf + 0 17.554 * * [simplify]: Extracting #1: cost 4 inf + 0 17.554 * * [simplify]: Extracting #2: cost 8 inf + 0 17.554 * * [simplify]: Extracting #3: cost 21 inf + 0 17.554 * * [simplify]: Extracting #4: cost 28 inf + 3 17.554 * * [simplify]: Extracting #5: cost 29 inf + 4 17.554 * * [simplify]: Extracting #6: cost 28 inf + 5 17.554 * * [simplify]: Extracting #7: cost 23 inf + 453 17.555 * * [simplify]: Extracting #8: cost 14 inf + 1775 17.555 * * [simplify]: Extracting #9: cost 5 inf + 3617 17.556 * * [simplify]: Extracting #10: cost 0 inf + 4907 17.557 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 17.557 * [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))))))) 17.558 * * * * [progress]: [ 118 / 169 ] simplifiying candidate # 17.558 * [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) 17.558 * * [simplify]: iters left: 6 (13 enodes) 17.561 * * [simplify]: iters left: 5 (41 enodes) 17.572 * * [simplify]: iters left: 4 (61 enodes) 17.590 * * [simplify]: iters left: 3 (75 enodes) 17.611 * * [simplify]: iters left: 2 (86 enodes) 17.625 * * [simplify]: iters left: 1 (94 enodes) 17.640 * * [simplify]: Extracting #0: cost 1 inf + 0 17.640 * * [simplify]: Extracting #1: cost 5 inf + 0 17.640 * * [simplify]: Extracting #2: cost 7 inf + 1 17.640 * * [simplify]: Extracting #3: cost 18 inf + 1 17.640 * * [simplify]: Extracting #4: cost 26 inf + 3 17.640 * * [simplify]: Extracting #5: cost 27 inf + 4 17.640 * * [simplify]: Extracting #6: cost 20 inf + 632 17.641 * * [simplify]: Extracting #7: cost 11 inf + 1753 17.641 * * [simplify]: Extracting #8: cost 2 inf + 3675 17.642 * * [simplify]: Extracting #9: cost 0 inf + 4151 17.643 * [simplify]: Simplified to (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 17.643 * [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)))))) 17.644 * [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)))) 17.644 * * [simplify]: iters left: 6 (13 enodes) 17.647 * * [simplify]: iters left: 5 (42 enodes) 17.659 * * [simplify]: iters left: 4 (56 enodes) 17.676 * * [simplify]: iters left: 3 (69 enodes) 17.688 * * [simplify]: iters left: 2 (80 enodes) 17.698 * * [simplify]: iters left: 1 (88 enodes) 17.710 * * [simplify]: Extracting #0: cost 1 inf + 0 17.710 * * [simplify]: Extracting #1: cost 4 inf + 0 17.710 * * [simplify]: Extracting #2: cost 9 inf + 0 17.711 * * [simplify]: Extracting #3: cost 19 inf + 1 17.711 * * [simplify]: Extracting #4: cost 26 inf + 3 17.711 * * [simplify]: Extracting #5: cost 27 inf + 4 17.711 * * [simplify]: Extracting #6: cost 19 inf + 730 17.711 * * [simplify]: Extracting #7: cost 9 inf + 2190 17.712 * * [simplify]: Extracting #8: cost 3 inf + 3497 17.713 * * [simplify]: Extracting #9: cost 0 inf + 4311 17.714 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 17.714 * [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)))))) 17.714 * * * * [progress]: [ 119 / 169 ] simplifiying candidate # 17.715 * [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)) 17.715 * * [simplify]: iters left: 6 (14 enodes) 17.721 * * [simplify]: iters left: 5 (46 enodes) 17.733 * * [simplify]: iters left: 4 (64 enodes) 17.746 * * [simplify]: iters left: 3 (79 enodes) 17.757 * * [simplify]: iters left: 2 (91 enodes) 17.769 * * [simplify]: iters left: 1 (99 enodes) 17.792 * * [simplify]: Extracting #0: cost 1 inf + 0 17.792 * * [simplify]: Extracting #1: cost 5 inf + 0 17.792 * * [simplify]: Extracting #2: cost 7 inf + 1 17.792 * * [simplify]: Extracting #3: cost 18 inf + 1 17.792 * * [simplify]: Extracting #4: cost 26 inf + 3 17.792 * * [simplify]: Extracting #5: cost 27 inf + 4 17.792 * * [simplify]: Extracting #6: cost 23 inf + 298 17.793 * * [simplify]: Extracting #7: cost 9 inf + 2550 17.793 * * [simplify]: Extracting #8: cost 1 inf + 3934 17.794 * * [simplify]: Extracting #9: cost 0 inf + 4151 17.795 * [simplify]: Simplified to (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 17.795 * [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)))))) 17.796 * [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)))) 17.796 * * [simplify]: iters left: 6 (14 enodes) 17.800 * * [simplify]: iters left: 5 (45 enodes) 17.807 * * [simplify]: iters left: 4 (59 enodes) 17.817 * * [simplify]: iters left: 3 (72 enodes) 17.834 * * [simplify]: iters left: 2 (83 enodes) 17.846 * * [simplify]: iters left: 1 (91 enodes) 17.858 * * [simplify]: Extracting #0: cost 1 inf + 0 17.858 * * [simplify]: Extracting #1: cost 4 inf + 0 17.858 * * [simplify]: Extracting #2: cost 9 inf + 0 17.858 * * [simplify]: Extracting #3: cost 19 inf + 1 17.858 * * [simplify]: Extracting #4: cost 26 inf + 3 17.858 * * [simplify]: Extracting #5: cost 27 inf + 4 17.858 * * [simplify]: Extracting #6: cost 25 inf + 62 17.859 * * [simplify]: Extracting #7: cost 21 inf + 453 17.859 * * [simplify]: Extracting #8: cost 12 inf + 1775 17.860 * * [simplify]: Extracting #9: cost 4 inf + 3319 17.861 * * [simplify]: Extracting #10: cost 0 inf + 4311 17.861 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 17.861 * [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)))))) 17.862 * * * * [progress]: [ 120 / 169 ] simplifiying candidate # 17.862 * [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)) 17.862 * * [simplify]: iters left: 6 (14 enodes) 17.869 * * [simplify]: iters left: 5 (46 enodes) 17.884 * * [simplify]: iters left: 4 (64 enodes) 17.902 * * [simplify]: iters left: 3 (79 enodes) 17.923 * * [simplify]: iters left: 2 (91 enodes) 17.945 * * [simplify]: iters left: 1 (99 enodes) 17.958 * * [simplify]: Extracting #0: cost 1 inf + 0 17.958 * * [simplify]: Extracting #1: cost 5 inf + 0 17.958 * * [simplify]: Extracting #2: cost 7 inf + 1 17.958 * * [simplify]: Extracting #3: cost 18 inf + 1 17.958 * * [simplify]: Extracting #4: cost 26 inf + 3 17.958 * * [simplify]: Extracting #5: cost 27 inf + 4 17.958 * * [simplify]: Extracting #6: cost 23 inf + 298 17.959 * * [simplify]: Extracting #7: cost 9 inf + 2550 17.960 * * [simplify]: Extracting #8: cost 1 inf + 3934 17.961 * * [simplify]: Extracting #9: cost 0 inf + 4151 17.963 * [simplify]: Simplified to (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 17.963 * [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)))))) 17.964 * [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)))) 17.964 * * [simplify]: iters left: 6 (14 enodes) 17.972 * * [simplify]: iters left: 5 (45 enodes) 17.984 * * [simplify]: iters left: 4 (59 enodes) 17.993 * * [simplify]: iters left: 3 (72 enodes) 18.003 * * [simplify]: iters left: 2 (83 enodes) 18.017 * * [simplify]: iters left: 1 (91 enodes) 18.044 * * [simplify]: Extracting #0: cost 1 inf + 0 18.044 * * [simplify]: Extracting #1: cost 4 inf + 0 18.044 * * [simplify]: Extracting #2: cost 9 inf + 0 18.044 * * [simplify]: Extracting #3: cost 19 inf + 1 18.044 * * [simplify]: Extracting #4: cost 26 inf + 3 18.045 * * [simplify]: Extracting #5: cost 27 inf + 4 18.045 * * [simplify]: Extracting #6: cost 25 inf + 62 18.045 * * [simplify]: Extracting #7: cost 21 inf + 453 18.046 * * [simplify]: Extracting #8: cost 12 inf + 1775 18.047 * * [simplify]: Extracting #9: cost 4 inf + 3319 18.049 * * [simplify]: Extracting #10: cost 0 inf + 4311 18.051 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 18.051 * [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)))))) 18.051 * * * * [progress]: [ 121 / 169 ] simplifiying candidate # 18.051 * [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) 18.052 * * [simplify]: iters left: 6 (13 enodes) 18.058 * * [simplify]: iters left: 5 (41 enodes) 18.071 * * [simplify]: iters left: 4 (61 enodes) 18.090 * * [simplify]: iters left: 3 (75 enodes) 18.111 * * [simplify]: iters left: 2 (86 enodes) 18.133 * * [simplify]: iters left: 1 (94 enodes) 18.157 * * [simplify]: Extracting #0: cost 1 inf + 0 18.157 * * [simplify]: Extracting #1: cost 5 inf + 0 18.157 * * [simplify]: Extracting #2: cost 7 inf + 1 18.158 * * [simplify]: Extracting #3: cost 18 inf + 1 18.158 * * [simplify]: Extracting #4: cost 26 inf + 3 18.158 * * [simplify]: Extracting #5: cost 27 inf + 4 18.158 * * [simplify]: Extracting #6: cost 20 inf + 632 18.159 * * [simplify]: Extracting #7: cost 11 inf + 1753 18.160 * * [simplify]: Extracting #8: cost 2 inf + 3675 18.162 * * [simplify]: Extracting #9: cost 0 inf + 4151 18.164 * [simplify]: Simplified to (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 18.164 * [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)))))) 18.165 * [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)))) 18.165 * * [simplify]: iters left: 6 (13 enodes) 18.170 * * [simplify]: iters left: 5 (42 enodes) 18.177 * * [simplify]: iters left: 4 (56 enodes) 18.187 * * [simplify]: iters left: 3 (69 enodes) 18.197 * * [simplify]: iters left: 2 (80 enodes) 18.208 * * [simplify]: iters left: 1 (88 enodes) 18.221 * * [simplify]: Extracting #0: cost 1 inf + 0 18.221 * * [simplify]: Extracting #1: cost 4 inf + 0 18.221 * * [simplify]: Extracting #2: cost 9 inf + 0 18.221 * * [simplify]: Extracting #3: cost 19 inf + 1 18.221 * * [simplify]: Extracting #4: cost 26 inf + 3 18.221 * * [simplify]: Extracting #5: cost 27 inf + 4 18.221 * * [simplify]: Extracting #6: cost 19 inf + 730 18.222 * * [simplify]: Extracting #7: cost 9 inf + 2190 18.222 * * [simplify]: Extracting #8: cost 3 inf + 3497 18.223 * * [simplify]: Extracting #9: cost 0 inf + 4311 18.225 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 18.225 * [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)))))) 18.225 * * * * [progress]: [ 122 / 169 ] simplifiying candidate # 18.225 * [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)))))) 18.226 * * [simplify]: iters left: 6 (15 enodes) 18.233 * * [simplify]: iters left: 5 (50 enodes) 18.249 * * [simplify]: iters left: 4 (66 enodes) 18.267 * * [simplify]: iters left: 3 (79 enodes) 18.287 * * [simplify]: iters left: 2 (90 enodes) 18.300 * * [simplify]: iters left: 1 (98 enodes) 18.313 * * [simplify]: Extracting #0: cost 1 inf + 0 18.313 * * [simplify]: Extracting #1: cost 6 inf + 0 18.313 * * [simplify]: Extracting #2: cost 12 inf + 0 18.313 * * [simplify]: Extracting #3: cost 25 inf + 0 18.313 * * [simplify]: Extracting #4: cost 32 inf + 3 18.314 * * [simplify]: Extracting #5: cost 33 inf + 4 18.314 * * [simplify]: Extracting #6: cost 27 inf + 494 18.314 * * [simplify]: Extracting #7: cost 17 inf + 1833 18.315 * * [simplify]: Extracting #8: cost 8 inf + 3715 18.316 * * [simplify]: Extracting #9: cost 0 inf + 6499 18.317 * [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)))))) 18.317 * [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))))))) 18.318 * [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))))) 18.318 * * [simplify]: iters left: 6 (14 enodes) 18.322 * * [simplify]: iters left: 5 (45 enodes) 18.333 * * [simplify]: iters left: 4 (59 enodes) 18.351 * * [simplify]: iters left: 3 (72 enodes) 18.362 * * [simplify]: iters left: 2 (83 enodes) 18.373 * * [simplify]: iters left: 1 (91 enodes) 18.391 * * [simplify]: Extracting #0: cost 1 inf + 0 18.391 * * [simplify]: Extracting #1: cost 4 inf + 0 18.391 * * [simplify]: Extracting #2: cost 8 inf + 0 18.391 * * [simplify]: Extracting #3: cost 21 inf + 0 18.391 * * [simplify]: Extracting #4: cost 28 inf + 3 18.391 * * [simplify]: Extracting #5: cost 29 inf + 4 18.392 * * [simplify]: Extracting #6: cost 28 inf + 5 18.392 * * [simplify]: Extracting #7: cost 23 inf + 453 18.393 * * [simplify]: Extracting #8: cost 14 inf + 1695 18.394 * * [simplify]: Extracting #9: cost 5 inf + 3577 18.396 * * [simplify]: Extracting #10: cost 0 inf + 4907 18.398 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 18.398 * [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))))))) 18.398 * * * * [progress]: [ 123 / 169 ] simplifiying candidate # 18.399 * [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))))) 18.399 * * [simplify]: iters left: 6 (14 enodes) 18.406 * * [simplify]: iters left: 5 (45 enodes) 18.416 * * [simplify]: iters left: 4 (59 enodes) 18.425 * * [simplify]: iters left: 3 (72 enodes) 18.436 * * [simplify]: iters left: 2 (83 enodes) 18.449 * * [simplify]: iters left: 1 (91 enodes) 18.474 * * [simplify]: Extracting #0: cost 1 inf + 0 18.474 * * [simplify]: Extracting #1: cost 4 inf + 0 18.474 * * [simplify]: Extracting #2: cost 8 inf + 0 18.474 * * [simplify]: Extracting #3: cost 21 inf + 0 18.474 * * [simplify]: Extracting #4: cost 28 inf + 3 18.474 * * [simplify]: Extracting #5: cost 29 inf + 4 18.474 * * [simplify]: Extracting #6: cost 28 inf + 5 18.475 * * [simplify]: Extracting #7: cost 23 inf + 453 18.476 * * [simplify]: Extracting #8: cost 14 inf + 1695 18.477 * * [simplify]: Extracting #9: cost 5 inf + 3497 18.479 * * [simplify]: Extracting #10: cost 0 inf + 4747 18.481 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 18.481 * [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))))))) 18.481 * [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))))) 18.482 * * [simplify]: iters left: 6 (14 enodes) 18.488 * * [simplify]: iters left: 5 (45 enodes) 18.504 * * [simplify]: iters left: 4 (59 enodes) 18.522 * * [simplify]: iters left: 3 (72 enodes) 18.540 * * [simplify]: iters left: 2 (83 enodes) 18.552 * * [simplify]: iters left: 1 (91 enodes) 18.566 * * [simplify]: Extracting #0: cost 1 inf + 0 18.566 * * [simplify]: Extracting #1: cost 4 inf + 0 18.566 * * [simplify]: Extracting #2: cost 8 inf + 0 18.566 * * [simplify]: Extracting #3: cost 21 inf + 0 18.567 * * [simplify]: Extracting #4: cost 28 inf + 3 18.567 * * [simplify]: Extracting #5: cost 29 inf + 4 18.567 * * [simplify]: Extracting #6: cost 28 inf + 5 18.567 * * [simplify]: Extracting #7: cost 23 inf + 453 18.567 * * [simplify]: Extracting #8: cost 14 inf + 1695 18.568 * * [simplify]: Extracting #9: cost 5 inf + 3497 18.569 * * [simplify]: Extracting #10: cost 0 inf + 4747 18.570 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 18.570 * [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))))))) 18.570 * * * * [progress]: [ 124 / 169 ] simplifiying candidate # 18.571 * [simplify]: Simplifying (/ (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1) 18.571 * * [simplify]: iters left: 6 (12 enodes) 18.574 * * [simplify]: iters left: 5 (36 enodes) 18.581 * * [simplify]: iters left: 4 (50 enodes) 18.589 * * [simplify]: iters left: 3 (63 enodes) 18.601 * * [simplify]: iters left: 2 (74 enodes) 18.612 * * [simplify]: iters left: 1 (82 enodes) 18.624 * * [simplify]: Extracting #0: cost 1 inf + 0 18.624 * * [simplify]: Extracting #1: cost 4 inf + 0 18.624 * * [simplify]: Extracting #2: cost 14 inf + 1 18.624 * * [simplify]: Extracting #3: cost 22 inf + 3 18.624 * * [simplify]: Extracting #4: cost 23 inf + 4 18.624 * * [simplify]: Extracting #5: cost 17 inf + 493 18.625 * * [simplify]: Extracting #6: cost 7 inf + 1833 18.625 * * [simplify]: Extracting #7: cost 2 inf + 2603 18.626 * * [simplify]: Extracting #8: cost 0 inf + 3039 18.627 * [simplify]: Simplified to (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 18.627 * [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)))))) 18.627 * [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)))) 18.627 * * [simplify]: iters left: 6 (13 enodes) 18.631 * * [simplify]: iters left: 5 (42 enodes) 18.638 * * [simplify]: iters left: 4 (56 enodes) 18.653 * * [simplify]: iters left: 3 (69 enodes) 18.669 * * [simplify]: iters left: 2 (80 enodes) 18.680 * * [simplify]: iters left: 1 (88 enodes) 18.695 * * [simplify]: Extracting #0: cost 1 inf + 0 18.695 * * [simplify]: Extracting #1: cost 4 inf + 0 18.696 * * [simplify]: Extracting #2: cost 9 inf + 0 18.696 * * [simplify]: Extracting #3: cost 19 inf + 1 18.696 * * [simplify]: Extracting #4: cost 26 inf + 3 18.696 * * [simplify]: Extracting #5: cost 27 inf + 4 18.696 * * [simplify]: Extracting #6: cost 19 inf + 730 18.696 * * [simplify]: Extracting #7: cost 9 inf + 2110 18.697 * * [simplify]: Extracting #8: cost 3 inf + 3377 18.698 * * [simplify]: Extracting #9: cost 0 inf + 4151 18.700 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 18.700 * [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)))))) 18.700 * * * * [progress]: [ 125 / 169 ] simplifiying candidate # 18.700 * [simplify]: Simplifying (/ (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt 1)) 18.700 * * [simplify]: iters left: 6 (13 enodes) 18.707 * * [simplify]: iters left: 5 (41 enodes) 18.719 * * [simplify]: iters left: 4 (55 enodes) 18.733 * * [simplify]: iters left: 3 (68 enodes) 18.750 * * [simplify]: iters left: 2 (79 enodes) 18.770 * * [simplify]: iters left: 1 (87 enodes) 18.792 * * [simplify]: Extracting #0: cost 1 inf + 0 18.792 * * [simplify]: Extracting #1: cost 4 inf + 0 18.792 * * [simplify]: Extracting #2: cost 14 inf + 1 18.792 * * [simplify]: Extracting #3: cost 22 inf + 3 18.792 * * [simplify]: Extracting #4: cost 23 inf + 4 18.793 * * [simplify]: Extracting #5: cost 16 inf + 551 18.794 * * [simplify]: Extracting #6: cost 6 inf + 1931 18.795 * * [simplify]: Extracting #7: cost 1 inf + 2821 18.796 * * [simplify]: Extracting #8: cost 0 inf + 3039 18.798 * [simplify]: Simplified to (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 18.798 * [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)))))) 18.798 * [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)))) 18.798 * * [simplify]: iters left: 6 (14 enodes) 18.806 * * [simplify]: iters left: 5 (45 enodes) 18.819 * * [simplify]: iters left: 4 (59 enodes) 18.838 * * [simplify]: iters left: 3 (72 enodes) 18.857 * * [simplify]: iters left: 2 (83 enodes) 18.868 * * [simplify]: iters left: 1 (91 enodes) 18.890 * * [simplify]: Extracting #0: cost 1 inf + 0 18.890 * * [simplify]: Extracting #1: cost 4 inf + 0 18.890 * * [simplify]: Extracting #2: cost 9 inf + 0 18.890 * * [simplify]: Extracting #3: cost 19 inf + 1 18.890 * * [simplify]: Extracting #4: cost 26 inf + 3 18.890 * * [simplify]: Extracting #5: cost 27 inf + 4 18.890 * * [simplify]: Extracting #6: cost 25 inf + 62 18.891 * * [simplify]: Extracting #7: cost 21 inf + 453 18.891 * * [simplify]: Extracting #8: cost 12 inf + 1695 18.893 * * [simplify]: Extracting #9: cost 4 inf + 3199 18.895 * * [simplify]: Extracting #10: cost 0 inf + 4151 18.896 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 18.897 * [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)))))) 18.897 * * * * [progress]: [ 126 / 169 ] simplifiying candidate # 18.897 * [simplify]: Simplifying (/ (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt 1)) 18.898 * * [simplify]: iters left: 6 (13 enodes) 18.906 * * [simplify]: iters left: 5 (41 enodes) 18.918 * * [simplify]: iters left: 4 (55 enodes) 18.934 * * [simplify]: iters left: 3 (68 enodes) 18.952 * * [simplify]: iters left: 2 (79 enodes) 18.974 * * [simplify]: iters left: 1 (87 enodes) 18.989 * * [simplify]: Extracting #0: cost 1 inf + 0 18.989 * * [simplify]: Extracting #1: cost 4 inf + 0 18.990 * * [simplify]: Extracting #2: cost 14 inf + 1 18.990 * * [simplify]: Extracting #3: cost 22 inf + 3 18.990 * * [simplify]: Extracting #4: cost 23 inf + 4 18.990 * * [simplify]: Extracting #5: cost 16 inf + 551 18.990 * * [simplify]: Extracting #6: cost 6 inf + 1931 18.991 * * [simplify]: Extracting #7: cost 1 inf + 2821 18.992 * * [simplify]: Extracting #8: cost 0 inf + 3039 18.992 * [simplify]: Simplified to (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 18.993 * [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)))))) 18.993 * [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)))) 18.993 * * [simplify]: iters left: 6 (14 enodes) 18.997 * * [simplify]: iters left: 5 (45 enodes) 19.005 * * [simplify]: iters left: 4 (59 enodes) 19.016 * * [simplify]: iters left: 3 (72 enodes) 19.037 * * [simplify]: iters left: 2 (83 enodes) 19.054 * * [simplify]: iters left: 1 (91 enodes) 19.068 * * [simplify]: Extracting #0: cost 1 inf + 0 19.068 * * [simplify]: Extracting #1: cost 4 inf + 0 19.068 * * [simplify]: Extracting #2: cost 9 inf + 0 19.068 * * [simplify]: Extracting #3: cost 19 inf + 1 19.068 * * [simplify]: Extracting #4: cost 26 inf + 3 19.068 * * [simplify]: Extracting #5: cost 27 inf + 4 19.068 * * [simplify]: Extracting #6: cost 25 inf + 62 19.068 * * [simplify]: Extracting #7: cost 21 inf + 453 19.070 * * [simplify]: Extracting #8: cost 12 inf + 1695 19.071 * * [simplify]: Extracting #9: cost 4 inf + 3199 19.073 * * [simplify]: Extracting #10: cost 0 inf + 4151 19.074 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 19.074 * [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)))))) 19.075 * * * * [progress]: [ 127 / 169 ] simplifiying candidate # 19.075 * [simplify]: Simplifying (/ (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1) 19.075 * * [simplify]: iters left: 6 (12 enodes) 19.082 * * [simplify]: iters left: 5 (36 enodes) 19.093 * * [simplify]: iters left: 4 (50 enodes) 19.109 * * [simplify]: iters left: 3 (63 enodes) 19.127 * * [simplify]: iters left: 2 (74 enodes) 19.146 * * [simplify]: iters left: 1 (82 enodes) 19.164 * * [simplify]: Extracting #0: cost 1 inf + 0 19.165 * * [simplify]: Extracting #1: cost 4 inf + 0 19.165 * * [simplify]: Extracting #2: cost 14 inf + 1 19.165 * * [simplify]: Extracting #3: cost 22 inf + 3 19.165 * * [simplify]: Extracting #4: cost 23 inf + 4 19.165 * * [simplify]: Extracting #5: cost 17 inf + 493 19.166 * * [simplify]: Extracting #6: cost 7 inf + 1833 19.166 * * [simplify]: Extracting #7: cost 2 inf + 2603 19.167 * * [simplify]: Extracting #8: cost 0 inf + 3039 19.168 * [simplify]: Simplified to (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 19.168 * [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)))))) 19.168 * [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)))) 19.168 * * [simplify]: iters left: 6 (13 enodes) 19.172 * * [simplify]: iters left: 5 (42 enodes) 19.179 * * [simplify]: iters left: 4 (56 enodes) 19.188 * * [simplify]: iters left: 3 (69 enodes) 19.201 * * [simplify]: iters left: 2 (80 enodes) 19.212 * * [simplify]: iters left: 1 (88 enodes) 19.224 * * [simplify]: Extracting #0: cost 1 inf + 0 19.224 * * [simplify]: Extracting #1: cost 4 inf + 0 19.224 * * [simplify]: Extracting #2: cost 9 inf + 0 19.224 * * [simplify]: Extracting #3: cost 19 inf + 1 19.224 * * [simplify]: Extracting #4: cost 26 inf + 3 19.224 * * [simplify]: Extracting #5: cost 27 inf + 4 19.224 * * [simplify]: Extracting #6: cost 19 inf + 730 19.225 * * [simplify]: Extracting #7: cost 9 inf + 2110 19.226 * * [simplify]: Extracting #8: cost 3 inf + 3377 19.227 * * [simplify]: Extracting #9: cost 0 inf + 4151 19.228 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 19.228 * [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)))))) 19.228 * * * * [progress]: [ 128 / 169 ] simplifiying candidate # 19.228 * [simplify]: Simplifying (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 19.228 * * [simplify]: iters left: 6 (11 enodes) 19.234 * * [simplify]: iters left: 5 (39 enodes) 19.246 * * [simplify]: iters left: 4 (43 enodes) 19.255 * * [simplify]: Extracting #0: cost 1 inf + 0 19.255 * * [simplify]: Extracting #1: cost 6 inf + 0 19.255 * * [simplify]: Extracting #2: cost 9 inf + 1 19.255 * * [simplify]: Extracting #3: cost 11 inf + 1 19.255 * * [simplify]: Extracting #4: cost 13 inf + 1 19.255 * * [simplify]: Extracting #5: cost 16 inf + 1 19.255 * * [simplify]: Extracting #6: cost 17 inf + 2 19.256 * * [simplify]: Extracting #7: cost 19 inf + 2 19.256 * * [simplify]: Extracting #8: cost 17 inf + 60 19.256 * * [simplify]: Extracting #9: cost 13 inf + 451 19.256 * * [simplify]: Extracting #10: cost 9 inf + 1163 19.256 * * [simplify]: Extracting #11: cost 5 inf + 2315 19.257 * * [simplify]: Extracting #12: cost 0 inf + 4085 19.257 * [simplify]: Simplified to (/ 1 (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 19.257 * [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))))))) 19.258 * [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))))) 19.258 * * [simplify]: iters left: 6 (13 enodes) 19.261 * * [simplify]: iters left: 5 (45 enodes) 19.269 * * [simplify]: iters left: 4 (67 enodes) 19.280 * * [simplify]: iters left: 3 (89 enodes) 19.296 * * [simplify]: iters left: 2 (113 enodes) 19.312 * * [simplify]: iters left: 1 (139 enodes) 19.339 * * [simplify]: Extracting #0: cost 1 inf + 0 19.339 * * [simplify]: Extracting #1: cost 20 inf + 0 19.339 * * [simplify]: Extracting #2: cost 46 inf + 0 19.339 * * [simplify]: Extracting #3: cost 54 inf + 3 19.339 * * [simplify]: Extracting #4: cost 55 inf + 4 19.340 * * [simplify]: Extracting #5: cost 44 inf + 1145 19.341 * * [simplify]: Extracting #6: cost 36 inf + 2247 19.344 * * [simplify]: Extracting #7: cost 17 inf + 8430 19.350 * * [simplify]: Extracting #8: cost 0 inf + 14619 19.354 * * [simplify]: Extracting #9: cost 0 inf + 14578 19.357 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 19.357 * [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))))))) 19.357 * * * * [progress]: [ 129 / 169 ] simplifiying candidate # 19.357 * [simplify]: Simplifying (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 19.357 * * [simplify]: iters left: 6 (10 enodes) 19.360 * * [simplify]: iters left: 5 (34 enodes) 19.366 * * [simplify]: iters left: 4 (36 enodes) 19.371 * * [simplify]: Extracting #0: cost 1 inf + 0 19.371 * * [simplify]: Extracting #1: cost 4 inf + 0 19.371 * * [simplify]: Extracting #2: cost 5 inf + 1 19.371 * * [simplify]: Extracting #3: cost 7 inf + 1 19.371 * * [simplify]: Extracting #4: cost 9 inf + 1 19.371 * * [simplify]: Extracting #5: cost 12 inf + 1 19.371 * * [simplify]: Extracting #6: cost 13 inf + 2 19.371 * * [simplify]: Extracting #7: cost 15 inf + 2 19.371 * * [simplify]: Extracting #8: cost 13 inf + 60 19.371 * * [simplify]: Extracting #9: cost 9 inf + 451 19.372 * * [simplify]: Extracting #10: cost 4 inf + 1381 19.372 * * [simplify]: Extracting #11: cost 0 inf + 2493 19.372 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 19.372 * [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))))))) 19.373 * [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))))) 19.373 * * [simplify]: iters left: 6 (13 enodes) 19.377 * * [simplify]: iters left: 5 (45 enodes) 19.387 * * [simplify]: iters left: 4 (67 enodes) 19.407 * * [simplify]: iters left: 3 (89 enodes) 19.434 * * [simplify]: iters left: 2 (113 enodes) 19.465 * * [simplify]: iters left: 1 (139 enodes) 19.503 * * [simplify]: Extracting #0: cost 1 inf + 0 19.503 * * [simplify]: Extracting #1: cost 20 inf + 0 19.503 * * [simplify]: Extracting #2: cost 46 inf + 0 19.504 * * [simplify]: Extracting #3: cost 54 inf + 3 19.504 * * [simplify]: Extracting #4: cost 55 inf + 4 19.505 * * [simplify]: Extracting #5: cost 44 inf + 1145 19.506 * * [simplify]: Extracting #6: cost 36 inf + 2247 19.509 * * [simplify]: Extracting #7: cost 17 inf + 7830 19.514 * * [simplify]: Extracting #8: cost 0 inf + 13339 19.520 * * [simplify]: Extracting #9: cost 0 inf + 13298 19.527 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 19.527 * [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))))))) 19.528 * * * * [progress]: [ 130 / 169 ] simplifiying candidate # 19.528 * [simplify]: Simplifying (/ 1 1) 19.528 * * [simplify]: iters left: 2 (2 enodes) 19.530 * * [simplify]: iters left: 1 (6 enodes) 19.532 * * [simplify]: Extracting #0: cost 1 inf + 0 19.532 * * [simplify]: Extracting #1: cost 0 inf + 1 19.532 * [simplify]: Simplified to 1 19.532 * [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)))))) 19.533 * [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)))) 19.533 * * [simplify]: iters left: 6 (12 enodes) 19.540 * * [simplify]: iters left: 5 (42 enodes) 19.552 * * [simplify]: iters left: 4 (64 enodes) 19.571 * * [simplify]: iters left: 3 (86 enodes) 19.588 * * [simplify]: iters left: 2 (110 enodes) 19.605 * * [simplify]: iters left: 1 (136 enodes) 19.635 * * [simplify]: Extracting #0: cost 1 inf + 0 19.636 * * [simplify]: Extracting #1: cost 20 inf + 0 19.636 * * [simplify]: Extracting #2: cost 45 inf + 0 19.636 * * [simplify]: Extracting #3: cost 52 inf + 3 19.636 * * [simplify]: Extracting #4: cost 53 inf + 4 19.637 * * [simplify]: Extracting #5: cost 43 inf + 965 19.638 * * [simplify]: Extracting #6: cost 34 inf + 2287 19.641 * * [simplify]: Extracting #7: cost 16 inf + 7094 19.649 * * [simplify]: Extracting #8: cost 0 inf + 11702 19.654 * * [simplify]: Extracting #9: cost 0 inf + 11662 19.660 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 19.660 * [simplify]: Simplified (2 2) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 19.660 * * * * [progress]: [ 131 / 169 ] simplifiying candidate # 19.661 * [simplify]: Simplifying (/ 1 (sqrt 1)) 19.661 * * [simplify]: iters left: 3 (3 enodes) 19.667 * * [simplify]: iters left: 2 (11 enodes) 19.670 * * [simplify]: iters left: 1 (13 enodes) 19.673 * * [simplify]: Extracting #0: cost 1 inf + 0 19.673 * * [simplify]: Extracting #1: cost 0 inf + 1 19.673 * [simplify]: Simplified to 1 19.673 * [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)))))) 19.673 * [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)))) 19.674 * * [simplify]: iters left: 6 (13 enodes) 19.679 * * [simplify]: iters left: 5 (45 enodes) 19.686 * * [simplify]: iters left: 4 (67 enodes) 19.697 * * [simplify]: iters left: 3 (89 enodes) 19.721 * * [simplify]: iters left: 2 (113 enodes) 19.738 * * [simplify]: iters left: 1 (139 enodes) 19.768 * * [simplify]: Extracting #0: cost 1 inf + 0 19.768 * * [simplify]: Extracting #1: cost 20 inf + 0 19.768 * * [simplify]: Extracting #2: cost 45 inf + 0 19.768 * * [simplify]: Extracting #3: cost 52 inf + 3 19.769 * * [simplify]: Extracting #4: cost 53 inf + 4 19.769 * * [simplify]: Extracting #5: cost 42 inf + 1145 19.770 * * [simplify]: Extracting #6: cost 34 inf + 2247 19.773 * * [simplify]: Extracting #7: cost 17 inf + 6794 19.778 * * [simplify]: Extracting #8: cost 0 inf + 11623 19.783 * * [simplify]: Extracting #9: cost 0 inf + 11582 19.788 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 19.788 * [simplify]: Simplified (2 2) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 19.788 * * * * [progress]: [ 132 / 169 ] simplifiying candidate # 19.789 * [simplify]: Simplifying (/ 1 (sqrt 1)) 19.789 * * [simplify]: iters left: 3 (3 enodes) 19.795 * * [simplify]: iters left: 2 (11 enodes) 19.798 * * [simplify]: iters left: 1 (13 enodes) 19.801 * * [simplify]: Extracting #0: cost 1 inf + 0 19.802 * * [simplify]: Extracting #1: cost 0 inf + 1 19.802 * [simplify]: Simplified to 1 19.802 * [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)))))) 19.802 * [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)))) 19.802 * * [simplify]: iters left: 6 (13 enodes) 19.811 * * [simplify]: iters left: 5 (45 enodes) 19.824 * * [simplify]: iters left: 4 (67 enodes) 19.834 * * [simplify]: iters left: 3 (89 enodes) 19.847 * * [simplify]: iters left: 2 (113 enodes) 19.871 * * [simplify]: iters left: 1 (139 enodes) 19.912 * * [simplify]: Extracting #0: cost 1 inf + 0 19.912 * * [simplify]: Extracting #1: cost 20 inf + 0 19.912 * * [simplify]: Extracting #2: cost 45 inf + 0 19.913 * * [simplify]: Extracting #3: cost 52 inf + 3 19.913 * * [simplify]: Extracting #4: cost 53 inf + 4 19.914 * * [simplify]: Extracting #5: cost 42 inf + 1145 19.915 * * [simplify]: Extracting #6: cost 34 inf + 2247 19.917 * * [simplify]: Extracting #7: cost 17 inf + 6794 19.922 * * [simplify]: Extracting #8: cost 0 inf + 11623 19.927 * * [simplify]: Extracting #9: cost 0 inf + 11582 19.932 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 19.932 * [simplify]: Simplified (2 2) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 19.932 * * * * [progress]: [ 133 / 169 ] simplifiying candidate # 19.932 * [simplify]: Simplifying (/ 1 1) 19.932 * * [simplify]: iters left: 2 (2 enodes) 19.934 * * [simplify]: iters left: 1 (6 enodes) 19.936 * * [simplify]: Extracting #0: cost 1 inf + 0 19.936 * * [simplify]: Extracting #1: cost 0 inf + 1 19.936 * [simplify]: Simplified to 1 19.936 * [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)))))) 19.937 * [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)))) 19.937 * * [simplify]: iters left: 6 (12 enodes) 19.943 * * [simplify]: iters left: 5 (42 enodes) 19.956 * * [simplify]: iters left: 4 (64 enodes) 19.976 * * [simplify]: iters left: 3 (86 enodes) 19.999 * * [simplify]: iters left: 2 (110 enodes) 20.028 * * [simplify]: iters left: 1 (136 enodes) 20.062 * * [simplify]: Extracting #0: cost 1 inf + 0 20.062 * * [simplify]: Extracting #1: cost 20 inf + 0 20.062 * * [simplify]: Extracting #2: cost 45 inf + 0 20.062 * * [simplify]: Extracting #3: cost 52 inf + 3 20.063 * * [simplify]: Extracting #4: cost 53 inf + 4 20.063 * * [simplify]: Extracting #5: cost 43 inf + 965 20.064 * * [simplify]: Extracting #6: cost 34 inf + 2287 20.067 * * [simplify]: Extracting #7: cost 16 inf + 7094 20.072 * * [simplify]: Extracting #8: cost 0 inf + 11702 20.077 * * [simplify]: Extracting #9: cost 0 inf + 11662 20.082 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 20.082 * [simplify]: Simplified (2 2) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 20.083 * * * * [progress]: [ 134 / 169 ] simplifiying candidate # 20.083 * [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)))))) 20.083 * * [simplify]: iters left: 6 (11 enodes) 20.089 * * [simplify]: iters left: 5 (39 enodes) 20.100 * * [simplify]: iters left: 4 (43 enodes) 20.113 * * [simplify]: Extracting #0: cost 1 inf + 0 20.113 * * [simplify]: Extracting #1: cost 6 inf + 0 20.113 * * [simplify]: Extracting #2: cost 12 inf + 0 20.113 * * [simplify]: Extracting #3: cost 13 inf + 1 20.113 * * [simplify]: Extracting #4: cost 16 inf + 1 20.113 * * [simplify]: Extracting #5: cost 17 inf + 2 20.113 * * [simplify]: Extracting #6: cost 19 inf + 2 20.113 * * [simplify]: Extracting #7: cost 17 inf + 60 20.114 * * [simplify]: Extracting #8: cost 13 inf + 451 20.114 * * [simplify]: Extracting #9: cost 9 inf + 1163 20.115 * * [simplify]: Extracting #10: cost 5 inf + 2315 20.116 * * [simplify]: Extracting #11: cost 0 inf + 4085 20.117 * [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)))))))) 20.117 * [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))))))) 20.118 * [simplify]: Simplifying (/ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 20.118 * * [simplify]: iters left: 6 (11 enodes) 20.124 * * [simplify]: iters left: 5 (42 enodes) 20.137 * * [simplify]: iters left: 4 (53 enodes) 20.152 * * [simplify]: iters left: 3 (57 enodes) 20.170 * * [simplify]: Extracting #0: cost 1 inf + 0 20.170 * * [simplify]: Extracting #1: cost 7 inf + 0 20.170 * * [simplify]: Extracting #2: cost 16 inf + 0 20.170 * * [simplify]: Extracting #3: cost 19 inf + 1 20.171 * * [simplify]: Extracting #4: cost 22 inf + 1 20.171 * * [simplify]: Extracting #5: cost 23 inf + 2 20.171 * * [simplify]: Extracting #6: cost 25 inf + 2 20.171 * * [simplify]: Extracting #7: cost 19 inf + 451 20.172 * * [simplify]: Extracting #8: cost 9 inf + 2671 20.173 * * [simplify]: Extracting #9: cost 2 inf + 4997 20.175 * * [simplify]: Extracting #10: cost 0 inf + 5713 20.176 * [simplify]: Simplified to (/ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 20.176 * [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))))))))) 20.176 * * * * [progress]: [ 135 / 169 ] simplifiying candidate # 20.177 * [simplify]: Simplifying (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 20.177 * * [simplify]: iters left: 6 (10 enodes) 20.180 * * [simplify]: iters left: 5 (34 enodes) 20.186 * * [simplify]: iters left: 4 (36 enodes) 20.191 * * [simplify]: Extracting #0: cost 1 inf + 0 20.191 * * [simplify]: Extracting #1: cost 4 inf + 0 20.191 * * [simplify]: Extracting #2: cost 8 inf + 0 20.191 * * [simplify]: Extracting #3: cost 9 inf + 1 20.191 * * [simplify]: Extracting #4: cost 12 inf + 1 20.191 * * [simplify]: Extracting #5: cost 13 inf + 2 20.191 * * [simplify]: Extracting #6: cost 15 inf + 2 20.191 * * [simplify]: Extracting #7: cost 13 inf + 60 20.191 * * [simplify]: Extracting #8: cost 9 inf + 451 20.192 * * [simplify]: Extracting #9: cost 4 inf + 1381 20.192 * * [simplify]: Extracting #10: cost 0 inf + 2493 20.192 * [simplify]: Simplified to (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 20.192 * [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))))))) 20.193 * [simplify]: Simplifying (/ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 20.193 * * [simplify]: iters left: 6 (11 enodes) 20.196 * * [simplify]: iters left: 5 (42 enodes) 20.202 * * [simplify]: iters left: 4 (53 enodes) 20.213 * * [simplify]: iters left: 3 (57 enodes) 20.222 * * [simplify]: Extracting #0: cost 1 inf + 0 20.222 * * [simplify]: Extracting #1: cost 7 inf + 0 20.222 * * [simplify]: Extracting #2: cost 16 inf + 0 20.222 * * [simplify]: Extracting #3: cost 19 inf + 1 20.222 * * [simplify]: Extracting #4: cost 22 inf + 1 20.222 * * [simplify]: Extracting #5: cost 23 inf + 2 20.223 * * [simplify]: Extracting #6: cost 25 inf + 2 20.223 * * [simplify]: Extracting #7: cost 19 inf + 451 20.223 * * [simplify]: Extracting #8: cost 9 inf + 2591 20.224 * * [simplify]: Extracting #9: cost 2 inf + 4677 20.225 * * [simplify]: Extracting #10: cost 0 inf + 5313 20.225 * [simplify]: Simplified to (/ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 20.226 * [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))))))))) 20.226 * * * * [progress]: [ 136 / 169 ] simplifiying candidate # 20.226 * [simplify]: Simplifying (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1) 20.226 * * [simplify]: iters left: 6 (9 enodes) 20.228 * * [simplify]: iters left: 5 (29 enodes) 20.234 * * [simplify]: iters left: 4 (31 enodes) 20.239 * * [simplify]: iters left: 3 (33 enodes) 20.244 * * [simplify]: Extracting #0: cost 1 inf + 0 20.244 * * [simplify]: Extracting #1: cost 4 inf + 0 20.244 * * [simplify]: Extracting #2: cost 5 inf + 1 20.244 * * [simplify]: Extracting #3: cost 8 inf + 1 20.244 * * [simplify]: Extracting #4: cost 9 inf + 2 20.244 * * [simplify]: Extracting #5: cost 11 inf + 2 20.244 * * [simplify]: Extracting #6: cost 8 inf + 117 20.244 * * [simplify]: Extracting #7: cost 6 inf + 353 20.244 * * [simplify]: Extracting #8: cost 2 inf + 985 20.245 * * [simplify]: Extracting #9: cost 0 inf + 1381 20.245 * [simplify]: Simplified to (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 20.245 * [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)))))) 20.245 * [simplify]: Simplifying (/ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 20.245 * * [simplify]: iters left: 6 (10 enodes) 20.248 * * [simplify]: iters left: 5 (39 enodes) 20.255 * * [simplify]: iters left: 4 (50 enodes) 20.264 * * [simplify]: iters left: 3 (54 enodes) 20.272 * * [simplify]: Extracting #0: cost 1 inf + 0 20.273 * * [simplify]: Extracting #1: cost 7 inf + 0 20.273 * * [simplify]: Extracting #2: cost 15 inf + 0 20.273 * * [simplify]: Extracting #3: cost 17 inf + 1 20.273 * * [simplify]: Extracting #4: cost 20 inf + 1 20.273 * * [simplify]: Extracting #5: cost 21 inf + 2 20.273 * * [simplify]: Extracting #6: cost 23 inf + 2 20.273 * * [simplify]: Extracting #7: cost 18 inf + 353 20.273 * * [simplify]: Extracting #8: cost 4 inf + 3405 20.274 * * [simplify]: Extracting #9: cost 0 inf + 4477 20.275 * [simplify]: Simplified to (/ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 20.275 * [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)))))))) 20.275 * * * * [progress]: [ 137 / 169 ] simplifiying candidate # 20.275 * [simplify]: Simplifying (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1)) 20.275 * * [simplify]: iters left: 6 (10 enodes) 20.278 * * [simplify]: iters left: 5 (34 enodes) 20.284 * * [simplify]: iters left: 4 (36 enodes) 20.293 * * [simplify]: iters left: 3 (38 enodes) 20.304 * * [simplify]: Extracting #0: cost 1 inf + 0 20.304 * * [simplify]: Extracting #1: cost 4 inf + 0 20.304 * * [simplify]: Extracting #2: cost 5 inf + 1 20.304 * * [simplify]: Extracting #3: cost 8 inf + 1 20.304 * * [simplify]: Extracting #4: cost 9 inf + 2 20.304 * * [simplify]: Extracting #5: cost 11 inf + 2 20.305 * * [simplify]: Extracting #6: cost 9 inf + 60 20.305 * * [simplify]: Extracting #7: cost 5 inf + 451 20.305 * * [simplify]: Extracting #8: cost 0 inf + 1381 20.306 * [simplify]: Simplified to (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 20.306 * [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)))))) 20.306 * [simplify]: Simplifying (/ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 20.306 * * [simplify]: iters left: 6 (11 enodes) 20.313 * * [simplify]: iters left: 5 (42 enodes) 20.326 * * [simplify]: iters left: 4 (53 enodes) 20.341 * * [simplify]: iters left: 3 (57 enodes) 20.356 * * [simplify]: Extracting #0: cost 1 inf + 0 20.356 * * [simplify]: Extracting #1: cost 7 inf + 0 20.356 * * [simplify]: Extracting #2: cost 15 inf + 0 20.356 * * [simplify]: Extracting #3: cost 17 inf + 1 20.356 * * [simplify]: Extracting #4: cost 20 inf + 1 20.357 * * [simplify]: Extracting #5: cost 21 inf + 2 20.357 * * [simplify]: Extracting #6: cost 23 inf + 2 20.357 * * [simplify]: Extracting #7: cost 17 inf + 451 20.358 * * [simplify]: Extracting #8: cost 9 inf + 2075 20.359 * * [simplify]: Extracting #9: cost 2 inf + 3921 20.360 * * [simplify]: Extracting #10: cost 0 inf + 4477 20.362 * [simplify]: Simplified to (/ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 20.362 * [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)))))))) 20.362 * * * * [progress]: [ 138 / 169 ] simplifiying candidate # 20.363 * [simplify]: Simplifying (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1)) 20.363 * * [simplify]: iters left: 6 (10 enodes) 20.369 * * [simplify]: iters left: 5 (34 enodes) 20.379 * * [simplify]: iters left: 4 (36 enodes) 20.389 * * [simplify]: iters left: 3 (38 enodes) 20.398 * * [simplify]: Extracting #0: cost 1 inf + 0 20.399 * * [simplify]: Extracting #1: cost 4 inf + 0 20.399 * * [simplify]: Extracting #2: cost 5 inf + 1 20.399 * * [simplify]: Extracting #3: cost 8 inf + 1 20.399 * * [simplify]: Extracting #4: cost 9 inf + 2 20.399 * * [simplify]: Extracting #5: cost 11 inf + 2 20.399 * * [simplify]: Extracting #6: cost 9 inf + 60 20.399 * * [simplify]: Extracting #7: cost 5 inf + 451 20.399 * * [simplify]: Extracting #8: cost 0 inf + 1381 20.400 * [simplify]: Simplified to (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 20.400 * [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)))))) 20.401 * [simplify]: Simplifying (/ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 20.401 * * [simplify]: iters left: 6 (11 enodes) 20.405 * * [simplify]: iters left: 5 (42 enodes) 20.412 * * [simplify]: iters left: 4 (53 enodes) 20.420 * * [simplify]: iters left: 3 (57 enodes) 20.429 * * [simplify]: Extracting #0: cost 1 inf + 0 20.429 * * [simplify]: Extracting #1: cost 7 inf + 0 20.429 * * [simplify]: Extracting #2: cost 15 inf + 0 20.429 * * [simplify]: Extracting #3: cost 17 inf + 1 20.429 * * [simplify]: Extracting #4: cost 20 inf + 1 20.429 * * [simplify]: Extracting #5: cost 21 inf + 2 20.429 * * [simplify]: Extracting #6: cost 23 inf + 2 20.429 * * [simplify]: Extracting #7: cost 17 inf + 451 20.430 * * [simplify]: Extracting #8: cost 9 inf + 2075 20.430 * * [simplify]: Extracting #9: cost 2 inf + 3921 20.431 * * [simplify]: Extracting #10: cost 0 inf + 4477 20.432 * [simplify]: Simplified to (/ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 20.432 * [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)))))))) 20.432 * * * * [progress]: [ 139 / 169 ] simplifiying candidate # 20.432 * [simplify]: Simplifying (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1) 20.432 * * [simplify]: iters left: 6 (9 enodes) 20.435 * * [simplify]: iters left: 5 (29 enodes) 20.439 * * [simplify]: iters left: 4 (31 enodes) 20.444 * * [simplify]: iters left: 3 (33 enodes) 20.454 * * [simplify]: Extracting #0: cost 1 inf + 0 20.454 * * [simplify]: Extracting #1: cost 4 inf + 0 20.454 * * [simplify]: Extracting #2: cost 5 inf + 1 20.454 * * [simplify]: Extracting #3: cost 8 inf + 1 20.454 * * [simplify]: Extracting #4: cost 9 inf + 2 20.454 * * [simplify]: Extracting #5: cost 11 inf + 2 20.454 * * [simplify]: Extracting #6: cost 8 inf + 117 20.454 * * [simplify]: Extracting #7: cost 6 inf + 353 20.455 * * [simplify]: Extracting #8: cost 2 inf + 985 20.455 * * [simplify]: Extracting #9: cost 0 inf + 1381 20.456 * [simplify]: Simplified to (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 20.456 * [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)))))) 20.456 * [simplify]: Simplifying (/ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 20.456 * * [simplify]: iters left: 6 (10 enodes) 20.462 * * [simplify]: iters left: 5 (39 enodes) 20.474 * * [simplify]: iters left: 4 (50 enodes) 20.489 * * [simplify]: iters left: 3 (54 enodes) 20.505 * * [simplify]: Extracting #0: cost 1 inf + 0 20.505 * * [simplify]: Extracting #1: cost 7 inf + 0 20.505 * * [simplify]: Extracting #2: cost 15 inf + 0 20.505 * * [simplify]: Extracting #3: cost 17 inf + 1 20.505 * * [simplify]: Extracting #4: cost 20 inf + 1 20.505 * * [simplify]: Extracting #5: cost 21 inf + 2 20.505 * * [simplify]: Extracting #6: cost 23 inf + 2 20.506 * * [simplify]: Extracting #7: cost 18 inf + 353 20.506 * * [simplify]: Extracting #8: cost 4 inf + 3405 20.508 * * [simplify]: Extracting #9: cost 0 inf + 4477 20.512 * [simplify]: Simplified to (/ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 20.513 * [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)))))))) 20.513 * * * * [progress]: [ 140 / 169 ] simplifiying candidate # 20.513 * * * * [progress]: [ 141 / 169 ] simplifiying candidate # 20.513 * * * * [progress]: [ 142 / 169 ] simplifiying candidate # 20.513 * * * * [progress]: [ 143 / 169 ] simplifiying candidate # 20.513 * [simplify]: Simplifying (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 20.514 * * [simplify]: iters left: 6 (9 enodes) 20.518 * * [simplify]: iters left: 5 (31 enodes) 20.527 * * [simplify]: iters left: 4 (33 enodes) 20.538 * * [simplify]: Extracting #0: cost 1 inf + 0 20.538 * * [simplify]: Extracting #1: cost 3 inf + 0 20.538 * * [simplify]: Extracting #2: cost 6 inf + 0 20.538 * * [simplify]: Extracting #3: cost 7 inf + 1 20.538 * * [simplify]: Extracting #4: cost 10 inf + 1 20.538 * * [simplify]: Extracting #5: cost 11 inf + 2 20.538 * * [simplify]: Extracting #6: cost 13 inf + 2 20.538 * * [simplify]: Extracting #7: cost 10 inf + 117 20.538 * * [simplify]: Extracting #8: cost 8 inf + 353 20.539 * * [simplify]: Extracting #9: cost 4 inf + 985 20.539 * * [simplify]: Extracting #10: cost 0 inf + 1977 20.540 * [simplify]: Simplified to (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 20.540 * [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)))))))) 20.540 * * * * [progress]: [ 144 / 169 ] simplifiying candidate # 20.540 * [simplify]: Simplifying (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 20.540 * * [simplify]: iters left: 6 (9 enodes) 20.545 * * [simplify]: iters left: 5 (31 enodes) 20.554 * * [simplify]: iters left: 4 (33 enodes) 20.563 * * [simplify]: Extracting #0: cost 1 inf + 0 20.563 * * [simplify]: Extracting #1: cost 3 inf + 0 20.563 * * [simplify]: Extracting #2: cost 6 inf + 0 20.563 * * [simplify]: Extracting #3: cost 7 inf + 1 20.563 * * [simplify]: Extracting #4: cost 10 inf + 1 20.563 * * [simplify]: Extracting #5: cost 11 inf + 2 20.564 * * [simplify]: Extracting #6: cost 13 inf + 2 20.564 * * [simplify]: Extracting #7: cost 10 inf + 117 20.564 * * [simplify]: Extracting #8: cost 8 inf + 353 20.564 * * [simplify]: Extracting #9: cost 4 inf + 985 20.565 * * [simplify]: Extracting #10: cost 0 inf + 1897 20.565 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 20.565 * [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)))))))) 20.565 * * * * [progress]: [ 145 / 169 ] simplifiying candidate # 20.566 * [simplify]: Simplifying (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 20.566 * * [simplify]: iters left: 6 (8 enodes) 20.570 * * [simplify]: iters left: 5 (28 enodes) 20.577 * * [simplify]: iters left: 4 (30 enodes) 20.582 * * [simplify]: Extracting #0: cost 1 inf + 0 20.582 * * [simplify]: Extracting #1: cost 4 inf + 0 20.582 * * [simplify]: Extracting #2: cost 5 inf + 1 20.582 * * [simplify]: Extracting #3: cost 8 inf + 1 20.582 * * [simplify]: Extracting #4: cost 9 inf + 2 20.582 * * [simplify]: Extracting #5: cost 11 inf + 2 20.582 * * [simplify]: Extracting #6: cost 9 inf + 60 20.582 * * [simplify]: Extracting #7: cost 5 inf + 451 20.582 * * [simplify]: Extracting #8: cost 1 inf + 1163 20.582 * * [simplify]: Extracting #9: cost 0 inf + 1381 20.583 * [simplify]: Simplified to (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 20.583 * [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))))))) 20.583 * * * * [progress]: [ 146 / 169 ] simplifiying candidate # 20.583 * [simplify]: Simplifying (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 20.583 * * [simplify]: iters left: 6 (9 enodes) 20.586 * * [simplify]: iters left: 5 (31 enodes) 20.591 * * [simplify]: iters left: 4 (33 enodes) 20.595 * * [simplify]: Extracting #0: cost 1 inf + 0 20.595 * * [simplify]: Extracting #1: cost 4 inf + 0 20.595 * * [simplify]: Extracting #2: cost 5 inf + 1 20.595 * * [simplify]: Extracting #3: cost 8 inf + 1 20.595 * * [simplify]: Extracting #4: cost 9 inf + 2 20.596 * * [simplify]: Extracting #5: cost 11 inf + 2 20.596 * * [simplify]: Extracting #6: cost 10 inf + 3 20.596 * * [simplify]: Extracting #7: cost 8 inf + 158 20.596 * * [simplify]: Extracting #8: cost 4 inf + 629 20.596 * * [simplify]: Extracting #9: cost 0 inf + 1381 20.596 * [simplify]: Simplified to (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 20.596 * [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))))) 20.596 * * * * [progress]: [ 147 / 169 ] simplifiying candidate # 20.597 * [simplify]: Simplifying (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 20.597 * * [simplify]: iters left: 6 (9 enodes) 20.599 * * [simplify]: iters left: 5 (31 enodes) 20.605 * * [simplify]: iters left: 4 (33 enodes) 20.614 * * [simplify]: Extracting #0: cost 1 inf + 0 20.614 * * [simplify]: Extracting #1: cost 4 inf + 0 20.614 * * [simplify]: Extracting #2: cost 5 inf + 1 20.614 * * [simplify]: Extracting #3: cost 8 inf + 1 20.614 * * [simplify]: Extracting #4: cost 9 inf + 2 20.614 * * [simplify]: Extracting #5: cost 11 inf + 2 20.614 * * [simplify]: Extracting #6: cost 10 inf + 3 20.615 * * [simplify]: Extracting #7: cost 8 inf + 158 20.615 * * [simplify]: Extracting #8: cost 4 inf + 629 20.615 * * [simplify]: Extracting #9: cost 0 inf + 1381 20.616 * [simplify]: Simplified to (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 20.616 * [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))))) 20.616 * * * * [progress]: [ 148 / 169 ] simplifiying candidate # 20.616 * [simplify]: Simplifying (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 20.616 * * [simplify]: iters left: 6 (8 enodes) 20.620 * * [simplify]: iters left: 5 (28 enodes) 20.629 * * [simplify]: iters left: 4 (30 enodes) 20.638 * * [simplify]: Extracting #0: cost 1 inf + 0 20.638 * * [simplify]: Extracting #1: cost 4 inf + 0 20.638 * * [simplify]: Extracting #2: cost 5 inf + 1 20.638 * * [simplify]: Extracting #3: cost 8 inf + 1 20.638 * * [simplify]: Extracting #4: cost 9 inf + 2 20.638 * * [simplify]: Extracting #5: cost 11 inf + 2 20.638 * * [simplify]: Extracting #6: cost 9 inf + 60 20.638 * * [simplify]: Extracting #7: cost 5 inf + 451 20.639 * * [simplify]: Extracting #8: cost 1 inf + 1163 20.639 * * [simplify]: Extracting #9: cost 0 inf + 1381 20.640 * [simplify]: Simplified to (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 20.640 * [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))))))) 20.640 * * * * [progress]: [ 149 / 169 ] simplifiying candidate # 20.642 * [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)))))) 20.643 * * [simplify]: iters left: 6 (12 enodes) 20.649 * * [simplify]: iters left: 5 (38 enodes) 20.661 * * [simplify]: iters left: 4 (52 enodes) 20.676 * * [simplify]: iters left: 3 (65 enodes) 20.693 * * [simplify]: iters left: 2 (76 enodes) 20.704 * * [simplify]: iters left: 1 (84 enodes) 20.715 * * [simplify]: Extracting #0: cost 1 inf + 0 20.715 * * [simplify]: Extracting #1: cost 3 inf + 0 20.716 * * [simplify]: Extracting #2: cost 5 inf + 0 20.716 * * [simplify]: Extracting #3: cost 17 inf + 0 20.716 * * [simplify]: Extracting #4: cost 24 inf + 3 20.716 * * [simplify]: Extracting #5: cost 25 inf + 4 20.716 * * [simplify]: Extracting #6: cost 20 inf + 315 20.716 * * [simplify]: Extracting #7: cost 10 inf + 1615 20.717 * * [simplify]: Extracting #8: cost 2 inf + 3159 20.718 * * [simplify]: Extracting #9: cost 0 inf + 3635 20.718 * [simplify]: Simplified to (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 20.718 * [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)))))))) 20.719 * * * * [progress]: [ 150 / 169 ] simplifiying candidate # 20.719 * [simplify]: Simplifying (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 20.719 * * [simplify]: iters left: 6 (11 enodes) 20.722 * * [simplify]: iters left: 5 (35 enodes) 20.731 * * [simplify]: iters left: 4 (49 enodes) 20.746 * * [simplify]: iters left: 3 (62 enodes) 20.760 * * [simplify]: iters left: 2 (73 enodes) 20.770 * * [simplify]: iters left: 1 (81 enodes) 20.782 * * [simplify]: Extracting #0: cost 1 inf + 0 20.782 * * [simplify]: Extracting #1: cost 3 inf + 0 20.782 * * [simplify]: Extracting #2: cost 15 inf + 0 20.782 * * [simplify]: Extracting #3: cost 22 inf + 3 20.782 * * [simplify]: Extracting #4: cost 23 inf + 4 20.782 * * [simplify]: Extracting #5: cost 16 inf + 631 20.783 * * [simplify]: Extracting #6: cost 6 inf + 1971 20.784 * * [simplify]: Extracting #7: cost 2 inf + 2603 20.784 * * [simplify]: Extracting #8: cost 0 inf + 3039 20.785 * [simplify]: Simplified to (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 20.785 * [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)))))))) 20.785 * * * * [progress]: [ 151 / 169 ] simplifiying candidate # 20.785 * * * * [progress]: [ 152 / 169 ] simplifiying candidate # 20.785 * [simplify]: Simplifying (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 20.786 * * [simplify]: iters left: 6 (8 enodes) 20.788 * * [simplify]: iters left: 5 (28 enodes) 20.797 * * [simplify]: iters left: 4 (30 enodes) 20.806 * * [simplify]: Extracting #0: cost 1 inf + 0 20.806 * * [simplify]: Extracting #1: cost 4 inf + 0 20.806 * * [simplify]: Extracting #2: cost 5 inf + 1 20.806 * * [simplify]: Extracting #3: cost 8 inf + 1 20.806 * * [simplify]: Extracting #4: cost 9 inf + 2 20.806 * * [simplify]: Extracting #5: cost 11 inf + 2 20.806 * * [simplify]: Extracting #6: cost 9 inf + 60 20.807 * * [simplify]: Extracting #7: cost 5 inf + 451 20.807 * * [simplify]: Extracting #8: cost 1 inf + 1163 20.807 * * [simplify]: Extracting #9: cost 0 inf + 1381 20.808 * [simplify]: Simplified to (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 20.808 * [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)))))) 20.808 * * * * [progress]: [ 153 / 169 ] simplifiying candidate # 20.808 * [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))))) 20.809 * * [simplify]: iters left: 6 (12 enodes) 20.815 * * [simplify]: iters left: 5 (44 enodes) 20.832 * * [simplify]: iters left: 4 (86 enodes) 20.866 * * [simplify]: iters left: 3 (160 enodes) 20.916 * * [simplify]: iters left: 2 (270 enodes) 21.022 * * [simplify]: iters left: 1 (393 enodes) 21.169 * * [simplify]: Extracting #0: cost 1 inf + 0 21.169 * * [simplify]: Extracting #1: cost 37 inf + 0 21.170 * * [simplify]: Extracting #2: cost 58 inf + 5 21.170 * * [simplify]: Extracting #3: cost 59 inf + 6 21.171 * * [simplify]: Extracting #4: cost 50 inf + 951 21.173 * * [simplify]: Extracting #5: cost 10 inf + 8921 21.178 * * [simplify]: Extracting #6: cost 0 inf + 11344 21.186 * [simplify]: Simplified to (+ 1 (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 21.186 * [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)))))) 21.187 * * * * [progress]: [ 154 / 169 ] simplifiying candidate # 21.187 * [simplify]: Simplifying (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 21.187 * * [simplify]: iters left: 6 (8 enodes) 21.191 * * [simplify]: iters left: 5 (29 enodes) 21.201 * * [simplify]: iters left: 4 (34 enodes) 21.211 * * [simplify]: Extracting #0: cost 1 inf + 0 21.211 * * [simplify]: Extracting #1: cost 5 inf + 0 21.211 * * [simplify]: Extracting #2: cost 7 inf + 1 21.211 * * [simplify]: Extracting #3: cost 10 inf + 1 21.211 * * [simplify]: Extracting #4: cost 11 inf + 2 21.211 * * [simplify]: Extracting #5: cost 13 inf + 2 21.211 * * [simplify]: Extracting #6: cost 11 inf + 60 21.211 * * [simplify]: Extracting #7: cost 7 inf + 451 21.212 * * [simplify]: Extracting #8: cost 0 inf + 1817 21.213 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 21.213 * [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))))))) 21.213 * * * * [progress]: [ 155 / 169 ] simplifiying candidate # 21.213 * [simplify]: Simplifying (- (pow (* 1 1) 3) (pow (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 3)) 21.214 * * [simplify]: iters left: 6 (13 enodes) 21.222 * * [simplify]: iters left: 5 (53 enodes) 21.247 * * [simplify]: iters left: 4 (119 enodes) 21.305 * * [simplify]: iters left: 3 (414 enodes) 21.550 * * [simplify]: Extracting #0: cost 1 inf + 0 21.550 * * [simplify]: Extracting #1: cost 29 inf + 0 21.551 * * [simplify]: Extracting #2: cost 230 inf + 1 21.552 * * [simplify]: Extracting #3: cost 287 inf + 8 21.553 * * [simplify]: Extracting #4: cost 282 inf + 14 21.555 * * [simplify]: Extracting #5: cost 260 inf + 3782 21.567 * * [simplify]: Extracting #6: cost 108 inf + 46814 21.596 * * [simplify]: Extracting #7: cost 16 inf + 77276 21.617 * * [simplify]: Extracting #8: cost 0 inf + 84880 21.651 * [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)))) 21.652 * [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))))))))) 21.652 * * * * [progress]: [ 156 / 169 ] simplifiying candidate # 21.652 * [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))))) 21.653 * * [simplify]: iters left: 6 (12 enodes) 21.659 * * [simplify]: iters left: 5 (40 enodes) 21.674 * * [simplify]: iters left: 4 (79 enodes) 21.709 * * [simplify]: iters left: 3 (215 enodes) 21.769 * * [simplify]: iters left: 2 (405 enodes) 21.950 * * [simplify]: Extracting #0: cost 1 inf + 0 21.950 * * [simplify]: Extracting #1: cost 47 inf + 0 21.951 * * [simplify]: Extracting #2: cost 129 inf + 4 21.952 * * [simplify]: Extracting #3: cost 143 inf + 8 21.954 * * [simplify]: Extracting #4: cost 134 inf + 678 21.958 * * [simplify]: Extracting #5: cost 78 inf + 10317 21.970 * * [simplify]: Extracting #6: cost 16 inf + 26461 21.986 * * [simplify]: Extracting #7: cost 0 inf + 33118 22.003 * * [simplify]: Extracting #8: cost 0 inf + 33117 22.019 * [simplify]: Simplified to (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))))) 22.019 * [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))))))) 22.020 * * * * [progress]: [ 157 / 169 ] 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)))))))> 22.020 * * * * [progress]: [ 158 / 169 ] simplifiying candidate # 22.020 * [simplify]: Simplifying (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) 22.020 * * [simplify]: iters left: 6 (15 enodes) 22.032 * * [simplify]: iters left: 5 (66 enodes) 22.066 * * [simplify]: iters left: 4 (120 enodes) 22.112 * * [simplify]: iters left: 3 (213 enodes) 22.186 * * [simplify]: iters left: 2 (426 enodes) 22.478 * * [simplify]: Extracting #0: cost 1 inf + 0 22.479 * * [simplify]: Extracting #1: cost 54 inf + 0 22.480 * * [simplify]: Extracting #2: cost 201 inf + 47 22.482 * * [simplify]: Extracting #3: cost 175 inf + 6000 22.488 * * [simplify]: Extracting #4: cost 56 inf + 25504 22.507 * * [simplify]: Extracting #5: cost 8 inf + 39520 22.516 * * [simplify]: Extracting #6: cost 0 inf + 42534 22.526 * [simplify]: Simplified to (* (* x x) (+ 1/4 (* (* x x) (- (* (* x x) 5/32) 3/16)))) 22.526 * [simplify]: Simplified (2 1) to (λ (x) (/ (* (* x x) (+ 1/4 (* (* x x) (- (* (* x x) 5/32) 3/16)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 22.527 * * * * [progress]: [ 159 / 169 ] simplifiying candidate # 22.527 * [simplify]: Simplifying (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) 22.527 * * [simplify]: iters left: 6 (12 enodes) 22.532 * * [simplify]: iters left: 5 (58 enodes) 22.556 * * [simplify]: iters left: 4 (109 enodes) 22.594 * * [simplify]: iters left: 3 (178 enodes) 22.654 * * [simplify]: iters left: 2 (276 enodes) 22.742 * * [simplify]: Extracting #0: cost 1 inf + 0 22.742 * * [simplify]: Extracting #1: cost 19 inf + 0 22.743 * * [simplify]: Extracting #2: cost 65 inf + 3 22.744 * * [simplify]: Extracting #3: cost 90 inf + 1686 22.747 * * [simplify]: Extracting #4: cost 66 inf + 5506 22.751 * * [simplify]: Extracting #5: cost 39 inf + 13993 22.754 * * [simplify]: Extracting #6: cost 20 inf + 20859 22.757 * * [simplify]: Extracting #7: cost 0 inf + 31508 22.763 * * [simplify]: Extracting #8: cost 0 inf + 31348 22.766 * [simplify]: Simplified to (+ (- 1/2 (/ 1/2 x)) (/ (/ 1/4 x) (* x x))) 22.766 * [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))))) 22.766 * * * * [progress]: [ 160 / 169 ] simplifiying candidate # 22.767 * [simplify]: Simplifying (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) 22.767 * * [simplify]: iters left: 6 (12 enodes) 22.772 * * [simplify]: iters left: 5 (58 enodes) 22.784 * * [simplify]: iters left: 4 (111 enodes) 22.820 * * [simplify]: iters left: 3 (189 enodes) 22.872 * * [simplify]: iters left: 2 (327 enodes) 22.959 * * [simplify]: Extracting #0: cost 1 inf + 0 22.959 * * [simplify]: Extracting #1: cost 19 inf + 0 22.960 * * [simplify]: Extracting #2: cost 87 inf + 3 22.963 * * [simplify]: Extracting #3: cost 133 inf + 1076 22.965 * * [simplify]: Extracting #4: cost 91 inf + 7135 22.968 * * [simplify]: Extracting #5: cost 48 inf + 22124 22.973 * * [simplify]: Extracting #6: cost 6 inf + 41539 22.978 * * [simplify]: Extracting #7: cost 0 inf + 43157 22.987 * [simplify]: Simplified to (+ (+ 1/2 (/ 1/2 x)) (/ (/ -1/4 (* x x)) x)) 22.987 * [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))))) 22.987 * * * * [progress]: [ 161 / 169 ] simplifiying candidate # 22.988 * [simplify]: Simplifying (- (+ (* 3/16 (pow x 4)) 1) (* 1/4 (pow x 2))) 22.988 * * [simplify]: iters left: 6 (12 enodes) 22.994 * * [simplify]: iters left: 5 (53 enodes) 23.003 * * [simplify]: iters left: 4 (83 enodes) 23.017 * * [simplify]: iters left: 3 (124 enodes) 23.038 * * [simplify]: iters left: 2 (201 enodes) 23.071 * * [simplify]: iters left: 1 (292 enodes) 23.175 * * [simplify]: Extracting #0: cost 1 inf + 0 23.175 * * [simplify]: Extracting #1: cost 32 inf + 0 23.176 * * [simplify]: Extracting #2: cost 70 inf + 128 23.177 * * [simplify]: Extracting #3: cost 36 inf + 4995 23.180 * * [simplify]: Extracting #4: cost 1 inf + 9078 23.184 * * [simplify]: Extracting #5: cost 0 inf + 9050 23.189 * [simplify]: Simplified to (fma (* x x) (* (* x x) 3/16) (fma -1/4 (* x x) 1)) 23.189 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (- (* 1 1) (fma (* x x) (* (* x x) 3/16) (fma -1/4 (* x x) 1))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 23.189 * * * * [progress]: [ 162 / 169 ] simplifiying candidate # 23.190 * [simplify]: Simplifying (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) 23.190 * * [simplify]: iters left: 6 (12 enodes) 23.195 * * [simplify]: iters left: 5 (58 enodes) 23.208 * * [simplify]: iters left: 4 (111 enodes) 23.233 * * [simplify]: iters left: 3 (189 enodes) 23.299 * * [simplify]: iters left: 2 (327 enodes) 23.411 * * [simplify]: Extracting #0: cost 1 inf + 0 23.411 * * [simplify]: Extracting #1: cost 19 inf + 0 23.411 * * [simplify]: Extracting #2: cost 87 inf + 3 23.412 * * [simplify]: Extracting #3: cost 133 inf + 1076 23.413 * * [simplify]: Extracting #4: cost 91 inf + 7135 23.416 * * [simplify]: Extracting #5: cost 48 inf + 22124 23.422 * * [simplify]: Extracting #6: cost 6 inf + 41539 23.432 * * [simplify]: Extracting #7: cost 0 inf + 43157 23.441 * [simplify]: Simplified to (+ (+ 1/2 (/ 1/2 x)) (/ (/ -1/4 (* x x)) x)) 23.442 * [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))))) 23.442 * * * * [progress]: [ 163 / 169 ] simplifiying candidate # 23.442 * [simplify]: Simplifying (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) 23.442 * * [simplify]: iters left: 6 (12 enodes) 23.451 * * [simplify]: iters left: 5 (58 enodes) 23.481 * * [simplify]: iters left: 4 (109 enodes) 23.519 * * [simplify]: iters left: 3 (178 enodes) 23.578 * * [simplify]: iters left: 2 (276 enodes) 23.634 * * [simplify]: Extracting #0: cost 1 inf + 0 23.634 * * [simplify]: Extracting #1: cost 19 inf + 0 23.634 * * [simplify]: Extracting #2: cost 65 inf + 3 23.636 * * [simplify]: Extracting #3: cost 90 inf + 1686 23.638 * * [simplify]: Extracting #4: cost 66 inf + 5506 23.643 * * [simplify]: Extracting #5: cost 39 inf + 13993 23.648 * * [simplify]: Extracting #6: cost 20 inf + 20859 23.655 * * [simplify]: Extracting #7: cost 0 inf + 31508 23.661 * * [simplify]: Extracting #8: cost 0 inf + 31348 23.668 * [simplify]: Simplified to (+ (- 1/2 (/ 1/2 x)) (/ (/ 1/4 x) (* x x))) 23.668 * [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))))) 23.669 * * * * [progress]: [ 164 / 169 ] simplifiying candidate # 23.669 * [simplify]: Simplifying (- (+ (* 11/128 (pow x 4)) 2) (* 1/8 (pow x 2))) 23.669 * * [simplify]: iters left: 6 (11 enodes) 23.677 * * [simplify]: iters left: 5 (49 enodes) 23.695 * * [simplify]: iters left: 4 (81 enodes) 23.724 * * [simplify]: iters left: 3 (124 enodes) 23.768 * * [simplify]: iters left: 2 (198 enodes) 23.822 * * [simplify]: iters left: 1 (285 enodes) 23.930 * * [simplify]: Extracting #0: cost 1 inf + 0 23.930 * * [simplify]: Extracting #1: cost 32 inf + 0 23.931 * * [simplify]: Extracting #2: cost 73 inf + 89 23.933 * * [simplify]: Extracting #3: cost 34 inf + 6717 23.939 * * [simplify]: Extracting #4: cost 0 inf + 10133 23.949 * * [simplify]: Extracting #5: cost 0 inf + 9279 23.957 * [simplify]: Simplified to (fma (fma (* 11/128 x) x -1/8) (* x x) 2) 23.957 * [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)))) (fma (fma (* 11/128 x) x -1/8) (* x x) 2))) 23.957 * * * * [progress]: [ 165 / 169 ] simplifiying candidate # 23.957 * [simplify]: Simplifying (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ (sqrt 1/2) 1)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) 23.957 * * [simplify]: iters left: 6 (19 enodes) 23.972 * * [simplify]: iters left: 5 (91 enodes) 24.008 * * [simplify]: iters left: 4 (181 enodes) 24.087 * * [simplify]: iters left: 3 (425 enodes) 24.250 * * [simplify]: Extracting #0: cost 1 inf + 0 24.250 * * [simplify]: Extracting #1: cost 26 inf + 0 24.251 * * [simplify]: Extracting #2: cost 186 inf + 4 24.255 * * [simplify]: Extracting #3: cost 246 inf + 5518 24.269 * * [simplify]: Extracting #4: cost 113 inf + 32379 24.294 * * [simplify]: Extracting #5: cost 35 inf + 59242 24.318 * * [simplify]: Extracting #6: cost 2 inf + 74969 24.342 * * [simplify]: Extracting #7: cost 0 inf + 75846 24.366 * [simplify]: Simplified to (+ (+ 1 (fma 1/4 (/ 1 (* (sqrt 1/2) x)) (/ -1/16 (* x (* (sqrt 1/2) x))))) (sqrt 1/2)) 24.366 * [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 (fma 1/4 (/ 1 (* (sqrt 1/2) x)) (/ -1/16 (* x (* (sqrt 1/2) x))))) (sqrt 1/2)))) 24.366 * * * * [progress]: [ 166 / 169 ] simplifiying candidate # 24.366 * [simplify]: Simplifying (- (+ (sqrt 1/2) 1) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 24.367 * * [simplify]: iters left: 6 (19 enodes) 24.380 * * [simplify]: iters left: 5 (91 enodes) 24.397 * * [simplify]: iters left: 4 (172 enodes) 24.460 * * [simplify]: iters left: 3 (428 enodes) 24.616 * * [simplify]: Extracting #0: cost 1 inf + 0 24.616 * * [simplify]: Extracting #1: cost 37 inf + 0 24.617 * * [simplify]: Extracting #2: cost 170 inf + 5 24.619 * * [simplify]: Extracting #3: cost 253 inf + 788 24.628 * * [simplify]: Extracting #4: cost 138 inf + 22375 24.649 * * [simplify]: Extracting #5: cost 26 inf + 55509 24.673 * * [simplify]: Extracting #6: cost 1 inf + 66012 24.697 * * [simplify]: Extracting #7: cost 0 inf + 66264 24.721 * [simplify]: Simplified to (- (/ (/ -1/4 x) (sqrt 1/2)) (- (/ 1/16 (* (sqrt 1/2) (* x x))) (+ (sqrt 1/2) 1))) 24.721 * [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)))) (- (/ (/ -1/4 x) (sqrt 1/2)) (- (/ 1/16 (* (sqrt 1/2) (* x x))) (+ (sqrt 1/2) 1))))) 24.721 * * * * [progress]: [ 167 / 169 ] simplifiying candidate # 24.722 * [simplify]: Simplifying (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) 24.722 * * [simplify]: iters left: 6 (15 enodes) 24.733 * * [simplify]: iters left: 5 (66 enodes) 24.762 * * [simplify]: iters left: 4 (120 enodes) 24.808 * * [simplify]: iters left: 3 (213 enodes) 24.887 * * [simplify]: iters left: 2 (426 enodes) 25.132 * * [simplify]: Extracting #0: cost 1 inf + 0 25.133 * * [simplify]: Extracting #1: cost 54 inf + 0 25.134 * * [simplify]: Extracting #2: cost 201 inf + 47 25.138 * * [simplify]: Extracting #3: cost 177 inf + 6069 25.150 * * [simplify]: Extracting #4: cost 72 inf + 21934 25.171 * * [simplify]: Extracting #5: cost 11 inf + 38553 25.189 * * [simplify]: Extracting #6: cost 0 inf + 42535 25.203 * [simplify]: Simplified to (* (* x x) (+ 1/8 (* (* x x) (- (* (* x x) 69/1024) 11/128)))) 25.203 * [simplify]: Simplified (2) to (λ (x) (* (* x x) (+ 1/8 (* (* x x) (- (* (* x x) 69/1024) 11/128))))) 25.204 * * * * [progress]: [ 168 / 169 ] simplifiying candidate # 25.204 * [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)))))) 25.204 * * [simplify]: iters left: 6 (40 enodes) 25.219 * * [simplify]: iters left: 5 (205 enodes) 25.273 * * [simplify]: iters left: 4 (489 enodes) 25.528 * * [simplify]: Extracting #0: cost 1 inf + 0 25.528 * * [simplify]: Extracting #1: cost 59 inf + 0 25.529 * * [simplify]: Extracting #2: cost 272 inf + 1 25.532 * * [simplify]: Extracting #3: cost 394 inf + 8414 25.545 * * [simplify]: Extracting #4: cost 239 inf + 52470 25.609 * * [simplify]: Extracting #5: cost 70 inf + 122018 25.678 * * [simplify]: Extracting #6: cost 13 inf + 144982 25.721 * * [simplify]: Extracting #7: cost 0 inf + 149987 25.784 * [simplify]: Simplified to (- (+ (fma (/ (/ 1 (* x x)) (* (* (sqrt 1/2) (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2)))) 1/2)) 1/64 (* 1/16 (/ (/ (/ 1 (* x x)) (* (+ 1 (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)) (/ (/ 1/8 (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2)))) (* (sqrt 1/2) (* x x))))) 25.784 * [simplify]: Simplified (2) to (λ (x) (- (+ (fma (/ (/ 1 (* x x)) (* (* (sqrt 1/2) (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2)))) 1/2)) 1/64 (* 1/16 (/ (/ (/ 1 (* x x)) (* (+ 1 (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)) (/ (/ 1/8 (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2)))) (* (sqrt 1/2) (* x x)))))) 25.784 * * * * [progress]: [ 169 / 169 ] simplifiying candidate # 25.785 * [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)))))))) 25.785 * * [simplify]: iters left: 6 (40 enodes) 25.799 * * [simplify]: iters left: 5 (207 enodes) 25.854 * * [simplify]: iters left: 4 (494 enodes) 26.064 * * [simplify]: Extracting #0: cost 1 inf + 0 26.064 * * [simplify]: Extracting #1: cost 43 inf + 0 26.065 * * [simplify]: Extracting #2: cost 243 inf + 2 26.070 * * [simplify]: Extracting #3: cost 383 inf + 7002 26.085 * * [simplify]: Extracting #4: cost 234 inf + 45755 26.113 * * [simplify]: Extracting #5: cost 72 inf + 111534 26.164 * * [simplify]: Extracting #6: cost 11 inf + 136948 26.210 * * [simplify]: Extracting #7: cost 0 inf + 140336 26.285 * * [simplify]: Extracting #8: cost 0 inf + 140147 26.343 * [simplify]: Simplified to (+ (/ 1/32 (* (+ (* 1/2 (sqrt 1/2)) 1/2) (* (fma (sqrt 1/2) x x) (fma (sqrt 1/2) x x)))) (+ (+ (/ 1/8 (* (fma (sqrt 1/2) x x) (* (fma (sqrt 1/2) x x) (sqrt 1/2)))) (+ (+ (/ 1/2 (+ 1 (sqrt 1/2))) (/ 1/2 (fma (sqrt 1/2) x x))) (/ 1/64 (* (fma (sqrt 1/2) x x) (* (fma (sqrt 1/2) x x) (* 1/2 (sqrt 1/2))))))) (/ (/ 1/8 (* (sqrt 1/2) (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2))))) x))) 26.343 * [simplify]: Simplified (2) to (λ (x) (+ (/ 1/32 (* (+ (* 1/2 (sqrt 1/2)) 1/2) (* (fma (sqrt 1/2) x x) (fma (sqrt 1/2) x x)))) (+ (+ (/ 1/8 (* (fma (sqrt 1/2) x x) (* (fma (sqrt 1/2) x x) (sqrt 1/2)))) (+ (+ (/ 1/2 (+ 1 (sqrt 1/2))) (/ 1/2 (fma (sqrt 1/2) x x))) (/ 1/64 (* (fma (sqrt 1/2) x x) (* (fma (sqrt 1/2) x x) (* 1/2 (sqrt 1/2))))))) (/ (/ 1/8 (* (sqrt 1/2) (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2))))) x)))) 26.344 * * * [progress]: adding candidates to table 28.048 * * [progress]: iteration 3 / 4 28.048 * * * [progress]: picking best candidate 28.068 * * * * [pick]: Picked # 28.068 * * * [progress]: localizing error 28.090 * * * [progress]: generating rewritten candidates 28.090 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 28.098 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 28.122 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 28.182 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1 1) 28.195 * * * [progress]: generating series expansions 28.195 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 28.195 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 x))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 28.195 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 28.195 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 28.195 * [taylor]: Taking taylor expansion of 1/2 in x 28.195 * [backup-simplify]: Simplify 1/2 into 1/2 28.195 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 28.195 * [taylor]: Taking taylor expansion of 1/2 in x 28.195 * [backup-simplify]: Simplify 1/2 into 1/2 28.195 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 28.195 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 28.195 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 28.195 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 28.195 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.195 * [taylor]: Taking taylor expansion of 1 in x 28.195 * [backup-simplify]: Simplify 1 into 1 28.195 * [taylor]: Taking taylor expansion of 1 in x 28.196 * [backup-simplify]: Simplify 1 into 1 28.196 * [taylor]: Taking taylor expansion of (* x x) in x 28.196 * [taylor]: Taking taylor expansion of x in x 28.196 * [backup-simplify]: Simplify 0 into 0 28.196 * [backup-simplify]: Simplify 1 into 1 28.196 * [taylor]: Taking taylor expansion of x in x 28.196 * [backup-simplify]: Simplify 0 into 0 28.196 * [backup-simplify]: Simplify 1 into 1 28.196 * [backup-simplify]: Simplify (* 1 1) into 1 28.197 * [backup-simplify]: Simplify (* 0 0) into 0 28.197 * [backup-simplify]: Simplify (+ 1 0) into 1 28.197 * [backup-simplify]: Simplify (sqrt 1) into 1 28.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.199 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 28.199 * [backup-simplify]: Simplify (+ 0 0) into 0 28.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.200 * [backup-simplify]: Simplify (/ 1 1) into 1 28.200 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 28.200 * [taylor]: Taking taylor expansion of 1/2 in x 28.200 * [backup-simplify]: Simplify 1/2 into 1/2 28.200 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 28.200 * [taylor]: Taking taylor expansion of 1/2 in x 28.200 * [backup-simplify]: Simplify 1/2 into 1/2 28.200 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 28.200 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 28.200 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 28.200 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 28.200 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.200 * [taylor]: Taking taylor expansion of 1 in x 28.200 * [backup-simplify]: Simplify 1 into 1 28.200 * [taylor]: Taking taylor expansion of 1 in x 28.200 * [backup-simplify]: Simplify 1 into 1 28.200 * [taylor]: Taking taylor expansion of (* x x) in x 28.200 * [taylor]: Taking taylor expansion of x in x 28.200 * [backup-simplify]: Simplify 0 into 0 28.200 * [backup-simplify]: Simplify 1 into 1 28.200 * [taylor]: Taking taylor expansion of x in x 28.200 * [backup-simplify]: Simplify 0 into 0 28.200 * [backup-simplify]: Simplify 1 into 1 28.201 * [backup-simplify]: Simplify (* 1 1) into 1 28.201 * [backup-simplify]: Simplify (* 0 0) into 0 28.201 * [backup-simplify]: Simplify (+ 1 0) into 1 28.202 * [backup-simplify]: Simplify (sqrt 1) into 1 28.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.203 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 28.204 * [backup-simplify]: Simplify (+ 0 0) into 0 28.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.205 * [backup-simplify]: Simplify (/ 1 1) into 1 28.205 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.205 * [backup-simplify]: Simplify (- 1/2) into -1/2 28.206 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 28.206 * [backup-simplify]: Simplify 0 into 0 28.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.207 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 28.207 * [backup-simplify]: Simplify (- 0) into 0 28.208 * [backup-simplify]: Simplify (+ 0 0) into 0 28.208 * [backup-simplify]: Simplify 0 into 0 28.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.209 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 28.210 * [backup-simplify]: Simplify (+ 0 1) into 1 28.210 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 28.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 28.212 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 28.213 * [backup-simplify]: Simplify (- -1/4) into 1/4 28.213 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 28.213 * [backup-simplify]: Simplify 1/4 into 1/4 28.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.215 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 28.216 * [backup-simplify]: Simplify (+ 0 0) into 0 28.217 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 28.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 28.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 28.219 * [backup-simplify]: Simplify (- 0) into 0 28.220 * [backup-simplify]: Simplify (+ 0 0) into 0 28.220 * [backup-simplify]: Simplify 0 into 0 28.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.222 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 28.223 * [backup-simplify]: Simplify (+ 0 0) into 0 28.225 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 28.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 28.229 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 28.229 * [backup-simplify]: Simplify (- 3/16) into -3/16 28.230 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 28.230 * [backup-simplify]: Simplify -3/16 into -3/16 28.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 28.233 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 28.233 * [backup-simplify]: Simplify (+ 0 0) into 0 28.235 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 28.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 28.239 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 28.240 * [backup-simplify]: Simplify (- 0) into 0 28.240 * [backup-simplify]: Simplify (+ 0 0) into 0 28.240 * [backup-simplify]: Simplify 0 into 0 28.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 28.243 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 28.243 * [backup-simplify]: Simplify (+ 0 0) into 0 28.245 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 28.247 * [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 28.249 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 28.250 * [backup-simplify]: Simplify (- -5/32) into 5/32 28.250 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 28.250 * [backup-simplify]: Simplify 5/32 into 5/32 28.250 * [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))) 28.251 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 28.251 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 28.251 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 28.251 * [taylor]: Taking taylor expansion of 1/2 in x 28.251 * [backup-simplify]: Simplify 1/2 into 1/2 28.251 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 28.251 * [taylor]: Taking taylor expansion of 1/2 in x 28.251 * [backup-simplify]: Simplify 1/2 into 1/2 28.251 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 28.251 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 28.251 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 28.251 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 28.251 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.251 * [taylor]: Taking taylor expansion of 1 in x 28.251 * [backup-simplify]: Simplify 1 into 1 28.251 * [taylor]: Taking taylor expansion of 1 in x 28.251 * [backup-simplify]: Simplify 1 into 1 28.251 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 28.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.251 * [taylor]: Taking taylor expansion of x in x 28.251 * [backup-simplify]: Simplify 0 into 0 28.251 * [backup-simplify]: Simplify 1 into 1 28.251 * [backup-simplify]: Simplify (/ 1 1) into 1 28.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.252 * [taylor]: Taking taylor expansion of x in x 28.252 * [backup-simplify]: Simplify 0 into 0 28.252 * [backup-simplify]: Simplify 1 into 1 28.252 * [backup-simplify]: Simplify (/ 1 1) into 1 28.252 * [backup-simplify]: Simplify (* 1 1) into 1 28.253 * [backup-simplify]: Simplify (+ 0 1) into 1 28.253 * [backup-simplify]: Simplify (sqrt 1) into 1 28.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.255 * [backup-simplify]: Simplify (+ 0 0) into 0 28.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.256 * [backup-simplify]: Simplify (/ 1 1) into 1 28.256 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 28.256 * [taylor]: Taking taylor expansion of 1/2 in x 28.256 * [backup-simplify]: Simplify 1/2 into 1/2 28.257 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 28.257 * [taylor]: Taking taylor expansion of 1/2 in x 28.257 * [backup-simplify]: Simplify 1/2 into 1/2 28.257 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 28.257 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 28.257 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 28.257 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 28.257 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.257 * [taylor]: Taking taylor expansion of 1 in x 28.257 * [backup-simplify]: Simplify 1 into 1 28.257 * [taylor]: Taking taylor expansion of 1 in x 28.257 * [backup-simplify]: Simplify 1 into 1 28.257 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 28.257 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.257 * [taylor]: Taking taylor expansion of x in x 28.257 * [backup-simplify]: Simplify 0 into 0 28.257 * [backup-simplify]: Simplify 1 into 1 28.257 * [backup-simplify]: Simplify (/ 1 1) into 1 28.257 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.257 * [taylor]: Taking taylor expansion of x in x 28.257 * [backup-simplify]: Simplify 0 into 0 28.257 * [backup-simplify]: Simplify 1 into 1 28.258 * [backup-simplify]: Simplify (/ 1 1) into 1 28.258 * [backup-simplify]: Simplify (* 1 1) into 1 28.258 * [backup-simplify]: Simplify (+ 0 1) into 1 28.259 * [backup-simplify]: Simplify (sqrt 1) into 1 28.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.261 * [backup-simplify]: Simplify (+ 0 0) into 0 28.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.262 * [backup-simplify]: Simplify (/ 1 1) into 1 28.262 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 28.262 * [backup-simplify]: Simplify 1/2 into 1/2 28.263 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.263 * [backup-simplify]: Simplify (- 1/2) into -1/2 28.263 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 28.264 * [backup-simplify]: Simplify -1/2 into -1/2 28.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.264 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 28.265 * [backup-simplify]: Simplify (- 0) into 0 28.265 * [backup-simplify]: Simplify (+ 0 0) into 0 28.265 * [backup-simplify]: Simplify 0 into 0 28.265 * [backup-simplify]: Simplify (* 1 1) into 1 28.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.267 * [backup-simplify]: Simplify (+ 1 0) into 1 28.268 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 28.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 28.269 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 28.269 * [backup-simplify]: Simplify (- -1/4) into 1/4 28.270 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 28.270 * [backup-simplify]: Simplify 1/4 into 1/4 28.270 * [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))) 28.270 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 28.270 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 28.270 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 28.270 * [taylor]: Taking taylor expansion of 1/2 in x 28.270 * [backup-simplify]: Simplify 1/2 into 1/2 28.270 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 28.270 * [taylor]: Taking taylor expansion of 1/2 in x 28.270 * [backup-simplify]: Simplify 1/2 into 1/2 28.270 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 28.270 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 28.270 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 28.270 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 28.270 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.270 * [taylor]: Taking taylor expansion of 1 in x 28.270 * [backup-simplify]: Simplify 1 into 1 28.270 * [taylor]: Taking taylor expansion of 1 in x 28.270 * [backup-simplify]: Simplify 1 into 1 28.270 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 28.270 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.270 * [taylor]: Taking taylor expansion of -1 in x 28.270 * [backup-simplify]: Simplify -1 into -1 28.270 * [taylor]: Taking taylor expansion of x in x 28.270 * [backup-simplify]: Simplify 0 into 0 28.270 * [backup-simplify]: Simplify 1 into 1 28.271 * [backup-simplify]: Simplify (/ -1 1) into -1 28.271 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.271 * [taylor]: Taking taylor expansion of -1 in x 28.271 * [backup-simplify]: Simplify -1 into -1 28.271 * [taylor]: Taking taylor expansion of x in x 28.271 * [backup-simplify]: Simplify 0 into 0 28.271 * [backup-simplify]: Simplify 1 into 1 28.271 * [backup-simplify]: Simplify (/ -1 1) into -1 28.271 * [backup-simplify]: Simplify (* -1 -1) into 1 28.272 * [backup-simplify]: Simplify (+ 0 1) into 1 28.272 * [backup-simplify]: Simplify (sqrt 1) into 1 28.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.273 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 28.273 * [backup-simplify]: Simplify (+ 0 0) into 0 28.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.274 * [backup-simplify]: Simplify (/ 1 1) into 1 28.274 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 28.274 * [taylor]: Taking taylor expansion of 1/2 in x 28.274 * [backup-simplify]: Simplify 1/2 into 1/2 28.274 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 28.274 * [taylor]: Taking taylor expansion of 1/2 in x 28.274 * [backup-simplify]: Simplify 1/2 into 1/2 28.274 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 28.274 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 28.274 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 28.274 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 28.274 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.274 * [taylor]: Taking taylor expansion of 1 in x 28.274 * [backup-simplify]: Simplify 1 into 1 28.274 * [taylor]: Taking taylor expansion of 1 in x 28.274 * [backup-simplify]: Simplify 1 into 1 28.274 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 28.274 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.274 * [taylor]: Taking taylor expansion of -1 in x 28.274 * [backup-simplify]: Simplify -1 into -1 28.274 * [taylor]: Taking taylor expansion of x in x 28.274 * [backup-simplify]: Simplify 0 into 0 28.274 * [backup-simplify]: Simplify 1 into 1 28.275 * [backup-simplify]: Simplify (/ -1 1) into -1 28.275 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.275 * [taylor]: Taking taylor expansion of -1 in x 28.275 * [backup-simplify]: Simplify -1 into -1 28.275 * [taylor]: Taking taylor expansion of x in x 28.275 * [backup-simplify]: Simplify 0 into 0 28.275 * [backup-simplify]: Simplify 1 into 1 28.275 * [backup-simplify]: Simplify (/ -1 1) into -1 28.276 * [backup-simplify]: Simplify (* -1 -1) into 1 28.276 * [backup-simplify]: Simplify (+ 0 1) into 1 28.276 * [backup-simplify]: Simplify (sqrt 1) into 1 28.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.277 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 28.278 * [backup-simplify]: Simplify (+ 0 0) into 0 28.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.278 * [backup-simplify]: Simplify (/ 1 1) into 1 28.279 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 28.279 * [backup-simplify]: Simplify 1/2 into 1/2 28.279 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.279 * [backup-simplify]: Simplify (- 1/2) into -1/2 28.279 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 28.279 * [backup-simplify]: Simplify -1/2 into -1/2 28.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.280 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 28.280 * [backup-simplify]: Simplify (- 0) into 0 28.281 * [backup-simplify]: Simplify (+ 0 0) into 0 28.281 * [backup-simplify]: Simplify 0 into 0 28.281 * [backup-simplify]: Simplify (* 1 1) into 1 28.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.283 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 28.283 * [backup-simplify]: Simplify (+ 1 0) into 1 28.283 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 28.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 28.285 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 28.285 * [backup-simplify]: Simplify (- -1/4) into 1/4 28.285 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 28.285 * [backup-simplify]: Simplify 1/4 into 1/4 28.285 * [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)))) 28.286 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 28.286 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 28.286 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in (x) around 0 28.286 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 28.286 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 28.286 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 28.286 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 28.286 * [taylor]: Taking taylor expansion of 1/2 in x 28.286 * [backup-simplify]: Simplify 1/2 into 1/2 28.286 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 28.286 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 28.286 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 28.286 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 28.286 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.286 * [taylor]: Taking taylor expansion of 1 in x 28.286 * [backup-simplify]: Simplify 1 into 1 28.286 * [taylor]: Taking taylor expansion of 1 in x 28.286 * [backup-simplify]: Simplify 1 into 1 28.286 * [taylor]: Taking taylor expansion of (* x x) in x 28.286 * [taylor]: Taking taylor expansion of x in x 28.286 * [backup-simplify]: Simplify 0 into 0 28.286 * [backup-simplify]: Simplify 1 into 1 28.286 * [taylor]: Taking taylor expansion of x in x 28.286 * [backup-simplify]: Simplify 0 into 0 28.286 * [backup-simplify]: Simplify 1 into 1 28.286 * [backup-simplify]: Simplify (* 1 1) into 1 28.286 * [backup-simplify]: Simplify (* 0 0) into 0 28.287 * [backup-simplify]: Simplify (+ 1 0) into 1 28.287 * [backup-simplify]: Simplify (sqrt 1) into 1 28.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.288 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 28.288 * [backup-simplify]: Simplify (+ 0 0) into 0 28.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.289 * [backup-simplify]: Simplify (/ 1 1) into 1 28.289 * [taylor]: Taking taylor expansion of 1/2 in x 28.289 * [backup-simplify]: Simplify 1/2 into 1/2 28.289 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.289 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 28.289 * [backup-simplify]: Simplify (sqrt 1) into 1 28.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 28.290 * [backup-simplify]: Simplify (+ 0 0) into 0 28.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.291 * [taylor]: Taking taylor expansion of 1 in x 28.291 * [backup-simplify]: Simplify 1 into 1 28.291 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 28.291 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 28.291 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 28.291 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 28.291 * [taylor]: Taking taylor expansion of 1/2 in x 28.291 * [backup-simplify]: Simplify 1/2 into 1/2 28.291 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 28.291 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 28.291 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 28.291 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 28.291 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.291 * [taylor]: Taking taylor expansion of 1 in x 28.291 * [backup-simplify]: Simplify 1 into 1 28.291 * [taylor]: Taking taylor expansion of 1 in x 28.291 * [backup-simplify]: Simplify 1 into 1 28.291 * [taylor]: Taking taylor expansion of (* x x) in x 28.291 * [taylor]: Taking taylor expansion of x in x 28.291 * [backup-simplify]: Simplify 0 into 0 28.291 * [backup-simplify]: Simplify 1 into 1 28.291 * [taylor]: Taking taylor expansion of x in x 28.291 * [backup-simplify]: Simplify 0 into 0 28.291 * [backup-simplify]: Simplify 1 into 1 28.292 * [backup-simplify]: Simplify (* 1 1) into 1 28.292 * [backup-simplify]: Simplify (* 0 0) into 0 28.292 * [backup-simplify]: Simplify (+ 1 0) into 1 28.293 * [backup-simplify]: Simplify (sqrt 1) into 1 28.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.294 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 28.294 * [backup-simplify]: Simplify (+ 0 0) into 0 28.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.296 * [backup-simplify]: Simplify (/ 1 1) into 1 28.296 * [taylor]: Taking taylor expansion of 1/2 in x 28.296 * [backup-simplify]: Simplify 1/2 into 1/2 28.296 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.297 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 28.297 * [backup-simplify]: Simplify (sqrt 1) into 1 28.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.298 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 28.299 * [backup-simplify]: Simplify (+ 0 0) into 0 28.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.300 * [taylor]: Taking taylor expansion of 1 in x 28.300 * [backup-simplify]: Simplify 1 into 1 28.300 * [backup-simplify]: Simplify (+ 1 1) into 2 28.300 * [backup-simplify]: Simplify 2 into 2 28.301 * [backup-simplify]: Simplify (+ 0 0) into 0 28.301 * [backup-simplify]: Simplify 0 into 0 28.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.302 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 28.303 * [backup-simplify]: Simplify (+ 0 1) into 1 28.304 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 28.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 28.312 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 28.312 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 28.313 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 28.313 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 28.313 * [backup-simplify]: Simplify -1/8 into -1/8 28.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.314 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 28.315 * [backup-simplify]: Simplify (+ 0 0) into 0 28.315 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 28.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 28.317 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 28.317 * [backup-simplify]: Simplify (+ 0 0) into 0 28.318 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 28.318 * [backup-simplify]: Simplify (+ 0 0) into 0 28.318 * [backup-simplify]: Simplify 0 into 0 28.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.319 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 28.320 * [backup-simplify]: Simplify (+ 0 0) into 0 28.320 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 28.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 28.322 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 28.323 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 28.323 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 28.324 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 28.324 * [backup-simplify]: Simplify 11/128 into 11/128 28.324 * [backup-simplify]: Simplify (+ (* 11/128 (pow x 4)) (+ (* -1/8 (pow x 2)) 2)) into (- (+ (* 11/128 (pow x 4)) 2) (* 1/8 (pow x 2))) 28.324 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 28.324 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in (x) around 0 28.324 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 28.324 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 28.324 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 28.324 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 28.324 * [taylor]: Taking taylor expansion of 1/2 in x 28.324 * [backup-simplify]: Simplify 1/2 into 1/2 28.324 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 28.324 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 28.324 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 28.324 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 28.324 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.324 * [taylor]: Taking taylor expansion of 1 in x 28.324 * [backup-simplify]: Simplify 1 into 1 28.324 * [taylor]: Taking taylor expansion of 1 in x 28.324 * [backup-simplify]: Simplify 1 into 1 28.324 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 28.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.324 * [taylor]: Taking taylor expansion of x in x 28.324 * [backup-simplify]: Simplify 0 into 0 28.324 * [backup-simplify]: Simplify 1 into 1 28.325 * [backup-simplify]: Simplify (/ 1 1) into 1 28.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.325 * [taylor]: Taking taylor expansion of x in x 28.325 * [backup-simplify]: Simplify 0 into 0 28.325 * [backup-simplify]: Simplify 1 into 1 28.325 * [backup-simplify]: Simplify (/ 1 1) into 1 28.325 * [backup-simplify]: Simplify (* 1 1) into 1 28.326 * [backup-simplify]: Simplify (+ 0 1) into 1 28.326 * [backup-simplify]: Simplify (sqrt 1) into 1 28.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.327 * [backup-simplify]: Simplify (+ 0 0) into 0 28.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.328 * [backup-simplify]: Simplify (/ 1 1) into 1 28.328 * [taylor]: Taking taylor expansion of 1/2 in x 28.328 * [backup-simplify]: Simplify 1/2 into 1/2 28.328 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 28.329 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 28.329 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.329 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 28.330 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 28.330 * [taylor]: Taking taylor expansion of 1 in x 28.330 * [backup-simplify]: Simplify 1 into 1 28.330 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 28.330 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 28.330 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 28.330 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 28.330 * [taylor]: Taking taylor expansion of 1/2 in x 28.330 * [backup-simplify]: Simplify 1/2 into 1/2 28.330 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 28.330 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 28.330 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 28.330 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 28.330 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.330 * [taylor]: Taking taylor expansion of 1 in x 28.330 * [backup-simplify]: Simplify 1 into 1 28.330 * [taylor]: Taking taylor expansion of 1 in x 28.330 * [backup-simplify]: Simplify 1 into 1 28.330 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 28.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.330 * [taylor]: Taking taylor expansion of x in x 28.330 * [backup-simplify]: Simplify 0 into 0 28.330 * [backup-simplify]: Simplify 1 into 1 28.331 * [backup-simplify]: Simplify (/ 1 1) into 1 28.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.331 * [taylor]: Taking taylor expansion of x in x 28.331 * [backup-simplify]: Simplify 0 into 0 28.331 * [backup-simplify]: Simplify 1 into 1 28.331 * [backup-simplify]: Simplify (/ 1 1) into 1 28.331 * [backup-simplify]: Simplify (* 1 1) into 1 28.331 * [backup-simplify]: Simplify (+ 0 1) into 1 28.332 * [backup-simplify]: Simplify (sqrt 1) into 1 28.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.333 * [backup-simplify]: Simplify (+ 0 0) into 0 28.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.334 * [backup-simplify]: Simplify (/ 1 1) into 1 28.334 * [taylor]: Taking taylor expansion of 1/2 in x 28.334 * [backup-simplify]: Simplify 1/2 into 1/2 28.334 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 28.334 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 28.335 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.335 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 28.336 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 28.336 * [taylor]: Taking taylor expansion of 1 in x 28.336 * [backup-simplify]: Simplify 1 into 1 28.337 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 28.339 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 28.340 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 28.342 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 28.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.343 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 28.344 * [backup-simplify]: Simplify (+ 0 0) into 0 28.349 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 28.352 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 28.355 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 28.361 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 x) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 x)) (+ (sqrt 1/2) 1))) into (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ (sqrt 1/2) 1)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) 28.361 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 28.361 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in (x) around 0 28.361 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 28.361 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 28.362 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 28.362 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 28.362 * [taylor]: Taking taylor expansion of 1/2 in x 28.362 * [backup-simplify]: Simplify 1/2 into 1/2 28.362 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 28.362 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 28.362 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 28.362 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 28.362 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.362 * [taylor]: Taking taylor expansion of 1 in x 28.362 * [backup-simplify]: Simplify 1 into 1 28.362 * [taylor]: Taking taylor expansion of 1 in x 28.362 * [backup-simplify]: Simplify 1 into 1 28.362 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 28.362 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.362 * [taylor]: Taking taylor expansion of -1 in x 28.362 * [backup-simplify]: Simplify -1 into -1 28.362 * [taylor]: Taking taylor expansion of x in x 28.362 * [backup-simplify]: Simplify 0 into 0 28.362 * [backup-simplify]: Simplify 1 into 1 28.362 * [backup-simplify]: Simplify (/ -1 1) into -1 28.363 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.363 * [taylor]: Taking taylor expansion of -1 in x 28.363 * [backup-simplify]: Simplify -1 into -1 28.363 * [taylor]: Taking taylor expansion of x in x 28.363 * [backup-simplify]: Simplify 0 into 0 28.363 * [backup-simplify]: Simplify 1 into 1 28.363 * [backup-simplify]: Simplify (/ -1 1) into -1 28.363 * [backup-simplify]: Simplify (* -1 -1) into 1 28.364 * [backup-simplify]: Simplify (+ 0 1) into 1 28.365 * [backup-simplify]: Simplify (sqrt 1) into 1 28.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.367 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 28.367 * [backup-simplify]: Simplify (+ 0 0) into 0 28.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.369 * [backup-simplify]: Simplify (/ 1 1) into 1 28.369 * [taylor]: Taking taylor expansion of 1/2 in x 28.369 * [backup-simplify]: Simplify 1/2 into 1/2 28.369 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 28.369 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 28.370 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.370 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 28.372 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 28.372 * [taylor]: Taking taylor expansion of 1 in x 28.372 * [backup-simplify]: Simplify 1 into 1 28.372 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 28.372 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 28.372 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 28.372 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 28.372 * [taylor]: Taking taylor expansion of 1/2 in x 28.372 * [backup-simplify]: Simplify 1/2 into 1/2 28.372 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 28.372 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 28.372 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 28.372 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 28.372 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.372 * [taylor]: Taking taylor expansion of 1 in x 28.372 * [backup-simplify]: Simplify 1 into 1 28.372 * [taylor]: Taking taylor expansion of 1 in x 28.372 * [backup-simplify]: Simplify 1 into 1 28.372 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 28.372 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.372 * [taylor]: Taking taylor expansion of -1 in x 28.372 * [backup-simplify]: Simplify -1 into -1 28.373 * [taylor]: Taking taylor expansion of x in x 28.373 * [backup-simplify]: Simplify 0 into 0 28.373 * [backup-simplify]: Simplify 1 into 1 28.373 * [backup-simplify]: Simplify (/ -1 1) into -1 28.373 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.373 * [taylor]: Taking taylor expansion of -1 in x 28.373 * [backup-simplify]: Simplify -1 into -1 28.373 * [taylor]: Taking taylor expansion of x in x 28.373 * [backup-simplify]: Simplify 0 into 0 28.373 * [backup-simplify]: Simplify 1 into 1 28.374 * [backup-simplify]: Simplify (/ -1 1) into -1 28.374 * [backup-simplify]: Simplify (* -1 -1) into 1 28.374 * [backup-simplify]: Simplify (+ 0 1) into 1 28.375 * [backup-simplify]: Simplify (sqrt 1) into 1 28.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.377 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 28.377 * [backup-simplify]: Simplify (+ 0 0) into 0 28.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.377 * [backup-simplify]: Simplify (/ 1 1) into 1 28.377 * [taylor]: Taking taylor expansion of 1/2 in x 28.378 * [backup-simplify]: Simplify 1/2 into 1/2 28.378 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 28.378 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 28.378 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.379 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 28.380 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 28.380 * [taylor]: Taking taylor expansion of 1 in x 28.380 * [backup-simplify]: Simplify 1 into 1 28.380 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 28.381 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 28.382 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 28.383 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 28.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.384 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 28.384 * [backup-simplify]: Simplify (+ 0 0) into 0 28.387 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 28.389 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 28.392 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 28.395 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 (- x)) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 (- x))) (+ (sqrt 1/2) 1))) into (- (+ (sqrt 1/2) 1) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 28.395 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 28.396 * [backup-simplify]: Simplify (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) into (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 28.396 * [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 28.396 * [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 28.396 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 28.396 * [taylor]: Taking taylor expansion of 1/2 in x 28.396 * [backup-simplify]: Simplify 1/2 into 1/2 28.396 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 28.396 * [taylor]: Taking taylor expansion of 1/2 in x 28.396 * [backup-simplify]: Simplify 1/2 into 1/2 28.396 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 28.396 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 28.396 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 28.396 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 28.396 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.396 * [taylor]: Taking taylor expansion of 1 in x 28.396 * [backup-simplify]: Simplify 1 into 1 28.396 * [taylor]: Taking taylor expansion of 1 in x 28.396 * [backup-simplify]: Simplify 1 into 1 28.396 * [taylor]: Taking taylor expansion of (* x x) in x 28.396 * [taylor]: Taking taylor expansion of x in x 28.396 * [backup-simplify]: Simplify 0 into 0 28.396 * [backup-simplify]: Simplify 1 into 1 28.396 * [taylor]: Taking taylor expansion of x in x 28.396 * [backup-simplify]: Simplify 0 into 0 28.396 * [backup-simplify]: Simplify 1 into 1 28.396 * [backup-simplify]: Simplify (* 1 1) into 1 28.397 * [backup-simplify]: Simplify (* 0 0) into 0 28.397 * [backup-simplify]: Simplify (+ 1 0) into 1 28.397 * [backup-simplify]: Simplify (sqrt 1) into 1 28.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.398 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 28.398 * [backup-simplify]: Simplify (+ 0 0) into 0 28.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.399 * [backup-simplify]: Simplify (/ 1 1) into 1 28.399 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 28.399 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 28.399 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 28.399 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 28.399 * [taylor]: Taking taylor expansion of 1/2 in x 28.399 * [backup-simplify]: Simplify 1/2 into 1/2 28.399 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 28.399 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 28.399 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 28.399 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 28.399 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.399 * [taylor]: Taking taylor expansion of 1 in x 28.399 * [backup-simplify]: Simplify 1 into 1 28.399 * [taylor]: Taking taylor expansion of 1 in x 28.399 * [backup-simplify]: Simplify 1 into 1 28.399 * [taylor]: Taking taylor expansion of (* x x) in x 28.399 * [taylor]: Taking taylor expansion of x in x 28.399 * [backup-simplify]: Simplify 0 into 0 28.399 * [backup-simplify]: Simplify 1 into 1 28.399 * [taylor]: Taking taylor expansion of x in x 28.399 * [backup-simplify]: Simplify 0 into 0 28.399 * [backup-simplify]: Simplify 1 into 1 28.399 * [backup-simplify]: Simplify (* 1 1) into 1 28.400 * [backup-simplify]: Simplify (* 0 0) into 0 28.400 * [backup-simplify]: Simplify (+ 1 0) into 1 28.400 * [backup-simplify]: Simplify (sqrt 1) into 1 28.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.401 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 28.401 * [backup-simplify]: Simplify (+ 0 0) into 0 28.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.402 * [backup-simplify]: Simplify (/ 1 1) into 1 28.402 * [taylor]: Taking taylor expansion of 1/2 in x 28.402 * [backup-simplify]: Simplify 1/2 into 1/2 28.402 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.402 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 28.403 * [backup-simplify]: Simplify (sqrt 1) into 1 28.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.404 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 28.404 * [backup-simplify]: Simplify (+ 0 0) into 0 28.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.405 * [taylor]: Taking taylor expansion of 1 in x 28.405 * [backup-simplify]: Simplify 1 into 1 28.406 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.406 * [backup-simplify]: Simplify (- 1/2) into -1/2 28.407 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 28.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.408 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 28.409 * [backup-simplify]: Simplify (- 0) into 0 28.409 * [backup-simplify]: Simplify (+ 0 0) into 0 28.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.411 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 28.411 * [backup-simplify]: Simplify (+ 0 1) into 1 28.412 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 28.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 28.415 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 28.415 * [backup-simplify]: Simplify (- -1/4) into 1/4 28.416 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 28.416 * [backup-simplify]: Simplify (+ 1 1) into 2 28.417 * [backup-simplify]: Simplify (/ 1/4 2) into 1/8 28.417 * [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 28.417 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 28.417 * [taylor]: Taking taylor expansion of 1/2 in x 28.417 * [backup-simplify]: Simplify 1/2 into 1/2 28.417 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 28.417 * [taylor]: Taking taylor expansion of 1/2 in x 28.417 * [backup-simplify]: Simplify 1/2 into 1/2 28.417 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 28.417 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 28.417 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 28.417 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 28.417 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.417 * [taylor]: Taking taylor expansion of 1 in x 28.417 * [backup-simplify]: Simplify 1 into 1 28.417 * [taylor]: Taking taylor expansion of 1 in x 28.417 * [backup-simplify]: Simplify 1 into 1 28.417 * [taylor]: Taking taylor expansion of (* x x) in x 28.417 * [taylor]: Taking taylor expansion of x in x 28.417 * [backup-simplify]: Simplify 0 into 0 28.417 * [backup-simplify]: Simplify 1 into 1 28.417 * [taylor]: Taking taylor expansion of x in x 28.417 * [backup-simplify]: Simplify 0 into 0 28.417 * [backup-simplify]: Simplify 1 into 1 28.418 * [backup-simplify]: Simplify (* 1 1) into 1 28.418 * [backup-simplify]: Simplify (* 0 0) into 0 28.418 * [backup-simplify]: Simplify (+ 1 0) into 1 28.419 * [backup-simplify]: Simplify (sqrt 1) into 1 28.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.420 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 28.420 * [backup-simplify]: Simplify (+ 0 0) into 0 28.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.427 * [backup-simplify]: Simplify (/ 1 1) into 1 28.427 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 28.428 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 28.428 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 28.428 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 28.428 * [taylor]: Taking taylor expansion of 1/2 in x 28.428 * [backup-simplify]: Simplify 1/2 into 1/2 28.428 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 28.428 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 28.428 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 28.428 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 28.428 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.428 * [taylor]: Taking taylor expansion of 1 in x 28.428 * [backup-simplify]: Simplify 1 into 1 28.428 * [taylor]: Taking taylor expansion of 1 in x 28.428 * [backup-simplify]: Simplify 1 into 1 28.428 * [taylor]: Taking taylor expansion of (* x x) in x 28.428 * [taylor]: Taking taylor expansion of x in x 28.428 * [backup-simplify]: Simplify 0 into 0 28.428 * [backup-simplify]: Simplify 1 into 1 28.428 * [taylor]: Taking taylor expansion of x in x 28.428 * [backup-simplify]: Simplify 0 into 0 28.428 * [backup-simplify]: Simplify 1 into 1 28.429 * [backup-simplify]: Simplify (* 1 1) into 1 28.429 * [backup-simplify]: Simplify (* 0 0) into 0 28.430 * [backup-simplify]: Simplify (+ 1 0) into 1 28.430 * [backup-simplify]: Simplify (sqrt 1) into 1 28.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.432 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 28.432 * [backup-simplify]: Simplify (+ 0 0) into 0 28.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.433 * [backup-simplify]: Simplify (/ 1 1) into 1 28.433 * [taylor]: Taking taylor expansion of 1/2 in x 28.433 * [backup-simplify]: Simplify 1/2 into 1/2 28.434 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.434 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 28.434 * [backup-simplify]: Simplify (sqrt 1) into 1 28.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.436 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 28.437 * [backup-simplify]: Simplify (+ 0 0) into 0 28.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.437 * [taylor]: Taking taylor expansion of 1 in x 28.437 * [backup-simplify]: Simplify 1 into 1 28.438 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.438 * [backup-simplify]: Simplify (- 1/2) into -1/2 28.439 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 28.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.440 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 28.440 * [backup-simplify]: Simplify (- 0) into 0 28.440 * [backup-simplify]: Simplify (+ 0 0) into 0 28.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.441 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 28.441 * [backup-simplify]: Simplify (+ 0 1) into 1 28.442 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 28.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 28.443 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 28.444 * [backup-simplify]: Simplify (- -1/4) into 1/4 28.444 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 28.444 * [backup-simplify]: Simplify (+ 1 1) into 2 28.444 * [backup-simplify]: Simplify (/ 1/4 2) into 1/8 28.444 * [backup-simplify]: Simplify 1/8 into 1/8 28.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.446 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 28.446 * [backup-simplify]: Simplify (+ 0 0) into 0 28.447 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 28.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 28.448 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 28.448 * [backup-simplify]: Simplify (- 0) into 0 28.449 * [backup-simplify]: Simplify (+ 0 0) into 0 28.449 * [backup-simplify]: Simplify (+ 0 0) into 0 28.449 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/8 (/ 0 2)))) into 0 28.449 * [backup-simplify]: Simplify 0 into 0 28.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.451 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 28.451 * [backup-simplify]: Simplify (+ 0 0) into 0 28.452 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 28.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 28.454 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 28.454 * [backup-simplify]: Simplify (- 3/16) into -3/16 28.454 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 28.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.456 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 28.456 * [backup-simplify]: Simplify (+ 0 1) into 1 28.456 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 28.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 28.458 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 28.458 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 28.459 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 28.459 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 28.460 * [backup-simplify]: Simplify (- (/ -3/16 2) (+ (* 1/8 (/ -1/8 2)) (* 0 (/ 0 2)))) into -11/128 28.460 * [backup-simplify]: Simplify -11/128 into -11/128 28.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 28.461 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 28.461 * [backup-simplify]: Simplify (+ 0 0) into 0 28.462 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 28.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 28.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 28.465 * [backup-simplify]: Simplify (- 0) into 0 28.465 * [backup-simplify]: Simplify (+ 0 0) into 0 28.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.466 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 28.467 * [backup-simplify]: Simplify (+ 0 0) into 0 28.467 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 28.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 28.470 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 28.471 * [backup-simplify]: Simplify (+ 0 0) into 0 28.472 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 28.472 * [backup-simplify]: Simplify (+ 0 0) into 0 28.474 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/8 (/ 0 2)) (* 0 (/ -1/8 2)) (* -11/128 (/ 0 2)))) into 0 28.474 * [backup-simplify]: Simplify 0 into 0 28.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 28.476 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 28.476 * [backup-simplify]: Simplify (+ 0 0) into 0 28.477 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 28.479 * [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 28.480 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 28.480 * [backup-simplify]: Simplify (- -5/32) into 5/32 28.481 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 28.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.482 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 28.482 * [backup-simplify]: Simplify (+ 0 0) into 0 28.483 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 28.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 28.485 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 28.486 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 28.487 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 28.487 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 28.488 * [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 28.488 * [backup-simplify]: Simplify 69/1024 into 69/1024 28.488 * [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))) 28.489 * [backup-simplify]: Simplify (/ (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)))) into (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) 28.489 * [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 28.489 * [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 28.489 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 28.489 * [taylor]: Taking taylor expansion of 1/2 in x 28.489 * [backup-simplify]: Simplify 1/2 into 1/2 28.489 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 28.489 * [taylor]: Taking taylor expansion of 1/2 in x 28.489 * [backup-simplify]: Simplify 1/2 into 1/2 28.489 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 28.489 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 28.489 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 28.489 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 28.489 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.489 * [taylor]: Taking taylor expansion of 1 in x 28.489 * [backup-simplify]: Simplify 1 into 1 28.489 * [taylor]: Taking taylor expansion of 1 in x 28.489 * [backup-simplify]: Simplify 1 into 1 28.489 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 28.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.489 * [taylor]: Taking taylor expansion of x in x 28.489 * [backup-simplify]: Simplify 0 into 0 28.489 * [backup-simplify]: Simplify 1 into 1 28.489 * [backup-simplify]: Simplify (/ 1 1) into 1 28.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.489 * [taylor]: Taking taylor expansion of x in x 28.489 * [backup-simplify]: Simplify 0 into 0 28.489 * [backup-simplify]: Simplify 1 into 1 28.490 * [backup-simplify]: Simplify (/ 1 1) into 1 28.490 * [backup-simplify]: Simplify (* 1 1) into 1 28.490 * [backup-simplify]: Simplify (+ 0 1) into 1 28.491 * [backup-simplify]: Simplify (sqrt 1) into 1 28.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.492 * [backup-simplify]: Simplify (+ 0 0) into 0 28.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.493 * [backup-simplify]: Simplify (/ 1 1) into 1 28.493 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 28.493 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 28.493 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 28.493 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 28.493 * [taylor]: Taking taylor expansion of 1/2 in x 28.493 * [backup-simplify]: Simplify 1/2 into 1/2 28.493 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 28.493 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 28.493 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 28.493 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 28.493 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.493 * [taylor]: Taking taylor expansion of 1 in x 28.493 * [backup-simplify]: Simplify 1 into 1 28.493 * [taylor]: Taking taylor expansion of 1 in x 28.493 * [backup-simplify]: Simplify 1 into 1 28.493 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 28.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.493 * [taylor]: Taking taylor expansion of x in x 28.493 * [backup-simplify]: Simplify 0 into 0 28.493 * [backup-simplify]: Simplify 1 into 1 28.494 * [backup-simplify]: Simplify (/ 1 1) into 1 28.494 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.494 * [taylor]: Taking taylor expansion of x in x 28.494 * [backup-simplify]: Simplify 0 into 0 28.494 * [backup-simplify]: Simplify 1 into 1 28.494 * [backup-simplify]: Simplify (/ 1 1) into 1 28.494 * [backup-simplify]: Simplify (* 1 1) into 1 28.494 * [backup-simplify]: Simplify (+ 0 1) into 1 28.495 * [backup-simplify]: Simplify (sqrt 1) into 1 28.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.496 * [backup-simplify]: Simplify (+ 0 0) into 0 28.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.497 * [backup-simplify]: Simplify (/ 1 1) into 1 28.497 * [taylor]: Taking taylor expansion of 1/2 in x 28.497 * [backup-simplify]: Simplify 1/2 into 1/2 28.497 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 28.497 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 28.498 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.498 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 28.499 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 28.499 * [taylor]: Taking taylor expansion of 1 in x 28.499 * [backup-simplify]: Simplify 1 into 1 28.499 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 28.500 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 28.501 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 28.501 * [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 28.501 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 28.501 * [taylor]: Taking taylor expansion of 1/2 in x 28.501 * [backup-simplify]: Simplify 1/2 into 1/2 28.501 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 28.501 * [taylor]: Taking taylor expansion of 1/2 in x 28.501 * [backup-simplify]: Simplify 1/2 into 1/2 28.501 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 28.501 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 28.501 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 28.501 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 28.501 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.501 * [taylor]: Taking taylor expansion of 1 in x 28.501 * [backup-simplify]: Simplify 1 into 1 28.501 * [taylor]: Taking taylor expansion of 1 in x 28.501 * [backup-simplify]: Simplify 1 into 1 28.501 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 28.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.501 * [taylor]: Taking taylor expansion of x in x 28.501 * [backup-simplify]: Simplify 0 into 0 28.501 * [backup-simplify]: Simplify 1 into 1 28.501 * [backup-simplify]: Simplify (/ 1 1) into 1 28.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.501 * [taylor]: Taking taylor expansion of x in x 28.501 * [backup-simplify]: Simplify 0 into 0 28.501 * [backup-simplify]: Simplify 1 into 1 28.502 * [backup-simplify]: Simplify (/ 1 1) into 1 28.502 * [backup-simplify]: Simplify (* 1 1) into 1 28.502 * [backup-simplify]: Simplify (+ 0 1) into 1 28.502 * [backup-simplify]: Simplify (sqrt 1) into 1 28.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.504 * [backup-simplify]: Simplify (+ 0 0) into 0 28.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.505 * [backup-simplify]: Simplify (/ 1 1) into 1 28.505 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 28.506 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 28.506 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 28.506 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 28.506 * [taylor]: Taking taylor expansion of 1/2 in x 28.506 * [backup-simplify]: Simplify 1/2 into 1/2 28.506 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 28.506 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 28.506 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 28.506 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 28.506 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.506 * [taylor]: Taking taylor expansion of 1 in x 28.506 * [backup-simplify]: Simplify 1 into 1 28.506 * [taylor]: Taking taylor expansion of 1 in x 28.506 * [backup-simplify]: Simplify 1 into 1 28.506 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 28.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.506 * [taylor]: Taking taylor expansion of x in x 28.506 * [backup-simplify]: Simplify 0 into 0 28.506 * [backup-simplify]: Simplify 1 into 1 28.506 * [backup-simplify]: Simplify (/ 1 1) into 1 28.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.507 * [taylor]: Taking taylor expansion of x in x 28.507 * [backup-simplify]: Simplify 0 into 0 28.507 * [backup-simplify]: Simplify 1 into 1 28.507 * [backup-simplify]: Simplify (/ 1 1) into 1 28.507 * [backup-simplify]: Simplify (* 1 1) into 1 28.508 * [backup-simplify]: Simplify (+ 0 1) into 1 28.508 * [backup-simplify]: Simplify (sqrt 1) into 1 28.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.511 * [backup-simplify]: Simplify (+ 0 0) into 0 28.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.512 * [backup-simplify]: Simplify (/ 1 1) into 1 28.512 * [taylor]: Taking taylor expansion of 1/2 in x 28.512 * [backup-simplify]: Simplify 1/2 into 1/2 28.512 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 28.513 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 28.513 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.514 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 28.515 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 28.515 * [taylor]: Taking taylor expansion of 1 in x 28.515 * [backup-simplify]: Simplify 1 into 1 28.516 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 28.517 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 28.518 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 28.520 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 28.520 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.521 * [backup-simplify]: Simplify (- 1/2) into -1/2 28.521 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 28.523 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 28.536 * [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)))))) 28.543 * [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)))))) 28.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.544 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 28.545 * [backup-simplify]: Simplify (- 0) into 0 28.545 * [backup-simplify]: Simplify (+ 0 0) into 0 28.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.546 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 28.546 * [backup-simplify]: Simplify (+ 0 0) into 0 28.549 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 28.551 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 28.585 * [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)))))) 28.599 * [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)))))) 28.632 * [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)))))) 28.632 * [backup-simplify]: Simplify (/ (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)))) into (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) 28.632 * [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 28.632 * [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 28.632 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 28.632 * [taylor]: Taking taylor expansion of 1/2 in x 28.632 * [backup-simplify]: Simplify 1/2 into 1/2 28.632 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 28.632 * [taylor]: Taking taylor expansion of 1/2 in x 28.632 * [backup-simplify]: Simplify 1/2 into 1/2 28.632 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 28.632 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 28.632 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 28.632 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 28.632 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.632 * [taylor]: Taking taylor expansion of 1 in x 28.632 * [backup-simplify]: Simplify 1 into 1 28.632 * [taylor]: Taking taylor expansion of 1 in x 28.632 * [backup-simplify]: Simplify 1 into 1 28.633 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 28.633 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.633 * [taylor]: Taking taylor expansion of -1 in x 28.633 * [backup-simplify]: Simplify -1 into -1 28.633 * [taylor]: Taking taylor expansion of x in x 28.633 * [backup-simplify]: Simplify 0 into 0 28.633 * [backup-simplify]: Simplify 1 into 1 28.633 * [backup-simplify]: Simplify (/ -1 1) into -1 28.633 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.633 * [taylor]: Taking taylor expansion of -1 in x 28.633 * [backup-simplify]: Simplify -1 into -1 28.633 * [taylor]: Taking taylor expansion of x in x 28.633 * [backup-simplify]: Simplify 0 into 0 28.633 * [backup-simplify]: Simplify 1 into 1 28.633 * [backup-simplify]: Simplify (/ -1 1) into -1 28.634 * [backup-simplify]: Simplify (* -1 -1) into 1 28.634 * [backup-simplify]: Simplify (+ 0 1) into 1 28.634 * [backup-simplify]: Simplify (sqrt 1) into 1 28.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.636 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 28.636 * [backup-simplify]: Simplify (+ 0 0) into 0 28.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.636 * [backup-simplify]: Simplify (/ 1 1) into 1 28.636 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 28.636 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 28.636 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 28.636 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 28.637 * [taylor]: Taking taylor expansion of 1/2 in x 28.637 * [backup-simplify]: Simplify 1/2 into 1/2 28.637 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 28.637 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 28.637 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 28.637 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 28.637 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.637 * [taylor]: Taking taylor expansion of 1 in x 28.637 * [backup-simplify]: Simplify 1 into 1 28.637 * [taylor]: Taking taylor expansion of 1 in x 28.637 * [backup-simplify]: Simplify 1 into 1 28.637 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 28.637 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.637 * [taylor]: Taking taylor expansion of -1 in x 28.637 * [backup-simplify]: Simplify -1 into -1 28.637 * [taylor]: Taking taylor expansion of x in x 28.637 * [backup-simplify]: Simplify 0 into 0 28.637 * [backup-simplify]: Simplify 1 into 1 28.637 * [backup-simplify]: Simplify (/ -1 1) into -1 28.637 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.637 * [taylor]: Taking taylor expansion of -1 in x 28.637 * [backup-simplify]: Simplify -1 into -1 28.637 * [taylor]: Taking taylor expansion of x in x 28.637 * [backup-simplify]: Simplify 0 into 0 28.637 * [backup-simplify]: Simplify 1 into 1 28.637 * [backup-simplify]: Simplify (/ -1 1) into -1 28.638 * [backup-simplify]: Simplify (* -1 -1) into 1 28.638 * [backup-simplify]: Simplify (+ 0 1) into 1 28.638 * [backup-simplify]: Simplify (sqrt 1) into 1 28.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.644 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 28.646 * [backup-simplify]: Simplify (+ 0 0) into 0 28.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.646 * [backup-simplify]: Simplify (/ 1 1) into 1 28.646 * [taylor]: Taking taylor expansion of 1/2 in x 28.647 * [backup-simplify]: Simplify 1/2 into 1/2 28.647 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 28.647 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 28.647 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.648 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 28.649 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 28.649 * [taylor]: Taking taylor expansion of 1 in x 28.649 * [backup-simplify]: Simplify 1 into 1 28.649 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 28.649 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 28.650 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 28.650 * [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 28.650 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 28.650 * [taylor]: Taking taylor expansion of 1/2 in x 28.650 * [backup-simplify]: Simplify 1/2 into 1/2 28.650 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 28.650 * [taylor]: Taking taylor expansion of 1/2 in x 28.650 * [backup-simplify]: Simplify 1/2 into 1/2 28.650 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 28.651 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 28.651 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 28.651 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 28.651 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.651 * [taylor]: Taking taylor expansion of 1 in x 28.651 * [backup-simplify]: Simplify 1 into 1 28.651 * [taylor]: Taking taylor expansion of 1 in x 28.651 * [backup-simplify]: Simplify 1 into 1 28.651 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 28.651 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.651 * [taylor]: Taking taylor expansion of -1 in x 28.651 * [backup-simplify]: Simplify -1 into -1 28.651 * [taylor]: Taking taylor expansion of x in x 28.651 * [backup-simplify]: Simplify 0 into 0 28.651 * [backup-simplify]: Simplify 1 into 1 28.651 * [backup-simplify]: Simplify (/ -1 1) into -1 28.651 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.651 * [taylor]: Taking taylor expansion of -1 in x 28.651 * [backup-simplify]: Simplify -1 into -1 28.651 * [taylor]: Taking taylor expansion of x in x 28.651 * [backup-simplify]: Simplify 0 into 0 28.651 * [backup-simplify]: Simplify 1 into 1 28.651 * [backup-simplify]: Simplify (/ -1 1) into -1 28.652 * [backup-simplify]: Simplify (* -1 -1) into 1 28.652 * [backup-simplify]: Simplify (+ 0 1) into 1 28.653 * [backup-simplify]: Simplify (sqrt 1) into 1 28.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.655 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 28.655 * [backup-simplify]: Simplify (+ 0 0) into 0 28.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.656 * [backup-simplify]: Simplify (/ 1 1) into 1 28.656 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 28.656 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 28.657 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 28.657 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 28.657 * [taylor]: Taking taylor expansion of 1/2 in x 28.657 * [backup-simplify]: Simplify 1/2 into 1/2 28.657 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 28.657 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 28.657 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 28.657 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 28.657 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.657 * [taylor]: Taking taylor expansion of 1 in x 28.657 * [backup-simplify]: Simplify 1 into 1 28.657 * [taylor]: Taking taylor expansion of 1 in x 28.657 * [backup-simplify]: Simplify 1 into 1 28.657 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 28.657 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.657 * [taylor]: Taking taylor expansion of -1 in x 28.657 * [backup-simplify]: Simplify -1 into -1 28.657 * [taylor]: Taking taylor expansion of x in x 28.657 * [backup-simplify]: Simplify 0 into 0 28.657 * [backup-simplify]: Simplify 1 into 1 28.657 * [backup-simplify]: Simplify (/ -1 1) into -1 28.658 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.658 * [taylor]: Taking taylor expansion of -1 in x 28.658 * [backup-simplify]: Simplify -1 into -1 28.658 * [taylor]: Taking taylor expansion of x in x 28.658 * [backup-simplify]: Simplify 0 into 0 28.658 * [backup-simplify]: Simplify 1 into 1 28.658 * [backup-simplify]: Simplify (/ -1 1) into -1 28.658 * [backup-simplify]: Simplify (* -1 -1) into 1 28.659 * [backup-simplify]: Simplify (+ 0 1) into 1 28.659 * [backup-simplify]: Simplify (sqrt 1) into 1 28.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.662 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 28.662 * [backup-simplify]: Simplify (+ 0 0) into 0 28.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.663 * [backup-simplify]: Simplify (/ 1 1) into 1 28.663 * [taylor]: Taking taylor expansion of 1/2 in x 28.663 * [backup-simplify]: Simplify 1/2 into 1/2 28.664 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 28.664 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 28.664 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.665 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 28.666 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 28.666 * [taylor]: Taking taylor expansion of 1 in x 28.666 * [backup-simplify]: Simplify 1 into 1 28.667 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 28.668 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 28.669 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 28.671 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 28.671 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.672 * [backup-simplify]: Simplify (- 1/2) into -1/2 28.672 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 28.674 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 28.685 * [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)))))) 28.697 * [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)))))) 28.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.699 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 28.700 * [backup-simplify]: Simplify (- 0) into 0 28.700 * [backup-simplify]: Simplify (+ 0 0) into 0 28.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.702 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 28.702 * [backup-simplify]: Simplify (+ 0 0) into 0 28.707 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 28.710 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 28.749 * [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)))))) 28.763 * [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)))))) 28.791 * [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)))))))) 28.791 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1 1) 28.791 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 28.791 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 28.792 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 28.792 * [taylor]: Taking taylor expansion of 1/2 in x 28.792 * [backup-simplify]: Simplify 1/2 into 1/2 28.792 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 28.792 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 28.792 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 28.792 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.792 * [taylor]: Taking taylor expansion of 1 in x 28.792 * [backup-simplify]: Simplify 1 into 1 28.792 * [taylor]: Taking taylor expansion of 1 in x 28.792 * [backup-simplify]: Simplify 1 into 1 28.792 * [taylor]: Taking taylor expansion of (* x x) in x 28.792 * [taylor]: Taking taylor expansion of x in x 28.792 * [backup-simplify]: Simplify 0 into 0 28.792 * [backup-simplify]: Simplify 1 into 1 28.792 * [taylor]: Taking taylor expansion of x in x 28.792 * [backup-simplify]: Simplify 0 into 0 28.792 * [backup-simplify]: Simplify 1 into 1 28.792 * [backup-simplify]: Simplify (* 1 1) into 1 28.792 * [backup-simplify]: Simplify (* 0 0) into 0 28.793 * [backup-simplify]: Simplify (+ 1 0) into 1 28.793 * [backup-simplify]: Simplify (sqrt 1) into 1 28.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.794 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 28.794 * [backup-simplify]: Simplify (+ 0 0) into 0 28.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.794 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 28.794 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 28.794 * [taylor]: Taking taylor expansion of 1/2 in x 28.794 * [backup-simplify]: Simplify 1/2 into 1/2 28.795 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 28.795 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 28.795 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 28.795 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.795 * [taylor]: Taking taylor expansion of 1 in x 28.795 * [backup-simplify]: Simplify 1 into 1 28.795 * [taylor]: Taking taylor expansion of 1 in x 28.795 * [backup-simplify]: Simplify 1 into 1 28.795 * [taylor]: Taking taylor expansion of (* x x) in x 28.795 * [taylor]: Taking taylor expansion of x in x 28.795 * [backup-simplify]: Simplify 0 into 0 28.795 * [backup-simplify]: Simplify 1 into 1 28.795 * [taylor]: Taking taylor expansion of x in x 28.795 * [backup-simplify]: Simplify 0 into 0 28.795 * [backup-simplify]: Simplify 1 into 1 28.795 * [backup-simplify]: Simplify (* 1 1) into 1 28.795 * [backup-simplify]: Simplify (* 0 0) into 0 28.795 * [backup-simplify]: Simplify (+ 1 0) into 1 28.796 * [backup-simplify]: Simplify (sqrt 1) into 1 28.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.797 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 28.797 * [backup-simplify]: Simplify (+ 0 0) into 0 28.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.798 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 28.798 * [backup-simplify]: Simplify 1/2 into 1/2 28.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 28.798 * [backup-simplify]: Simplify 0 into 0 28.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.799 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 28.800 * [backup-simplify]: Simplify (+ 0 1) into 1 28.800 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 28.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 28.801 * [backup-simplify]: Simplify -1/4 into -1/4 28.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.802 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 28.802 * [backup-simplify]: Simplify (+ 0 0) into 0 28.803 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 28.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 28.804 * [backup-simplify]: Simplify 0 into 0 28.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.805 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 28.805 * [backup-simplify]: Simplify (+ 0 0) into 0 28.806 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 28.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 28.807 * [backup-simplify]: Simplify 3/16 into 3/16 28.807 * [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))) 28.807 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 28.807 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 28.807 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 28.807 * [taylor]: Taking taylor expansion of 1/2 in x 28.807 * [backup-simplify]: Simplify 1/2 into 1/2 28.808 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 28.808 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 28.808 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 28.808 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.808 * [taylor]: Taking taylor expansion of 1 in x 28.808 * [backup-simplify]: Simplify 1 into 1 28.808 * [taylor]: Taking taylor expansion of 1 in x 28.808 * [backup-simplify]: Simplify 1 into 1 28.808 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 28.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.808 * [taylor]: Taking taylor expansion of x in x 28.808 * [backup-simplify]: Simplify 0 into 0 28.808 * [backup-simplify]: Simplify 1 into 1 28.808 * [backup-simplify]: Simplify (/ 1 1) into 1 28.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.808 * [taylor]: Taking taylor expansion of x in x 28.808 * [backup-simplify]: Simplify 0 into 0 28.808 * [backup-simplify]: Simplify 1 into 1 28.808 * [backup-simplify]: Simplify (/ 1 1) into 1 28.809 * [backup-simplify]: Simplify (* 1 1) into 1 28.809 * [backup-simplify]: Simplify (+ 0 1) into 1 28.809 * [backup-simplify]: Simplify (sqrt 1) into 1 28.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.811 * [backup-simplify]: Simplify (+ 0 0) into 0 28.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.811 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 28.811 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 28.811 * [taylor]: Taking taylor expansion of 1/2 in x 28.811 * [backup-simplify]: Simplify 1/2 into 1/2 28.811 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 28.811 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 28.811 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 28.811 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.811 * [taylor]: Taking taylor expansion of 1 in x 28.811 * [backup-simplify]: Simplify 1 into 1 28.811 * [taylor]: Taking taylor expansion of 1 in x 28.811 * [backup-simplify]: Simplify 1 into 1 28.811 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 28.811 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.811 * [taylor]: Taking taylor expansion of x in x 28.811 * [backup-simplify]: Simplify 0 into 0 28.811 * [backup-simplify]: Simplify 1 into 1 28.812 * [backup-simplify]: Simplify (/ 1 1) into 1 28.812 * [taylor]: Taking taylor expansion of (/ 1 x) in x 28.812 * [taylor]: Taking taylor expansion of x in x 28.812 * [backup-simplify]: Simplify 0 into 0 28.812 * [backup-simplify]: Simplify 1 into 1 28.812 * [backup-simplify]: Simplify (/ 1 1) into 1 28.812 * [backup-simplify]: Simplify (* 1 1) into 1 28.813 * [backup-simplify]: Simplify (+ 0 1) into 1 28.813 * [backup-simplify]: Simplify (sqrt 1) into 1 28.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.814 * [backup-simplify]: Simplify (+ 0 0) into 0 28.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.815 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 28.815 * [backup-simplify]: Simplify 1/2 into 1/2 28.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 28.816 * [backup-simplify]: Simplify 0 into 0 28.816 * [backup-simplify]: Simplify (* 1 1) into 1 28.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.818 * [backup-simplify]: Simplify (+ 1 0) into 1 28.818 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 28.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 28.819 * [backup-simplify]: Simplify -1/4 into -1/4 28.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.823 * [backup-simplify]: Simplify (+ 0 0) into 0 28.824 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 28.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 28.825 * [backup-simplify]: Simplify 0 into 0 28.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.830 * [backup-simplify]: Simplify (+ 0 0) into 0 28.831 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 28.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 28.833 * [backup-simplify]: Simplify 3/16 into 3/16 28.833 * [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)))) 28.833 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 28.833 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 28.833 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 28.833 * [taylor]: Taking taylor expansion of 1/2 in x 28.833 * [backup-simplify]: Simplify 1/2 into 1/2 28.833 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 28.833 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 28.833 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 28.833 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.834 * [taylor]: Taking taylor expansion of 1 in x 28.834 * [backup-simplify]: Simplify 1 into 1 28.834 * [taylor]: Taking taylor expansion of 1 in x 28.834 * [backup-simplify]: Simplify 1 into 1 28.834 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 28.834 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.834 * [taylor]: Taking taylor expansion of -1 in x 28.834 * [backup-simplify]: Simplify -1 into -1 28.834 * [taylor]: Taking taylor expansion of x in x 28.834 * [backup-simplify]: Simplify 0 into 0 28.834 * [backup-simplify]: Simplify 1 into 1 28.834 * [backup-simplify]: Simplify (/ -1 1) into -1 28.834 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.834 * [taylor]: Taking taylor expansion of -1 in x 28.834 * [backup-simplify]: Simplify -1 into -1 28.834 * [taylor]: Taking taylor expansion of x in x 28.834 * [backup-simplify]: Simplify 0 into 0 28.834 * [backup-simplify]: Simplify 1 into 1 28.835 * [backup-simplify]: Simplify (/ -1 1) into -1 28.835 * [backup-simplify]: Simplify (* -1 -1) into 1 28.836 * [backup-simplify]: Simplify (+ 0 1) into 1 28.836 * [backup-simplify]: Simplify (sqrt 1) into 1 28.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.838 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 28.839 * [backup-simplify]: Simplify (+ 0 0) into 0 28.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.840 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 28.840 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 28.840 * [taylor]: Taking taylor expansion of 1/2 in x 28.840 * [backup-simplify]: Simplify 1/2 into 1/2 28.840 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 28.840 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 28.840 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 28.840 * [taylor]: Taking taylor expansion of (* 1 1) in x 28.840 * [taylor]: Taking taylor expansion of 1 in x 28.840 * [backup-simplify]: Simplify 1 into 1 28.840 * [taylor]: Taking taylor expansion of 1 in x 28.840 * [backup-simplify]: Simplify 1 into 1 28.840 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 28.840 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.840 * [taylor]: Taking taylor expansion of -1 in x 28.840 * [backup-simplify]: Simplify -1 into -1 28.840 * [taylor]: Taking taylor expansion of x in x 28.840 * [backup-simplify]: Simplify 0 into 0 28.840 * [backup-simplify]: Simplify 1 into 1 28.841 * [backup-simplify]: Simplify (/ -1 1) into -1 28.841 * [taylor]: Taking taylor expansion of (/ -1 x) in x 28.841 * [taylor]: Taking taylor expansion of -1 in x 28.841 * [backup-simplify]: Simplify -1 into -1 28.841 * [taylor]: Taking taylor expansion of x in x 28.841 * [backup-simplify]: Simplify 0 into 0 28.841 * [backup-simplify]: Simplify 1 into 1 28.841 * [backup-simplify]: Simplify (/ -1 1) into -1 28.842 * [backup-simplify]: Simplify (* -1 -1) into 1 28.842 * [backup-simplify]: Simplify (+ 0 1) into 1 28.843 * [backup-simplify]: Simplify (sqrt 1) into 1 28.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 28.845 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 28.846 * [backup-simplify]: Simplify (+ 0 0) into 0 28.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 28.847 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 28.847 * [backup-simplify]: Simplify 1/2 into 1/2 28.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 28.848 * [backup-simplify]: Simplify 0 into 0 28.849 * [backup-simplify]: Simplify (* 1 1) into 1 28.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.852 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 28.852 * [backup-simplify]: Simplify (+ 1 0) into 1 28.853 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 28.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 28.854 * [backup-simplify]: Simplify -1/4 into -1/4 28.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.858 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 28.859 * [backup-simplify]: Simplify (+ 0 0) into 0 28.860 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 28.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 28.862 * [backup-simplify]: Simplify 0 into 0 28.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.867 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 28.867 * [backup-simplify]: Simplify (+ 0 0) into 0 28.869 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 28.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 28.871 * [backup-simplify]: Simplify 3/16 into 3/16 28.871 * [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)))) 28.871 * * * [progress]: simplifying candidates 28.871 * * * * [progress]: [ 1 / 190 ] simplifiying candidate # 28.872 * [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))))))) 28.872 * * [simplify]: iters left: 6 (12 enodes) 28.879 * * [simplify]: iters left: 5 (47 enodes) 28.903 * * [simplify]: iters left: 4 (69 enodes) 28.916 * * [simplify]: iters left: 3 (94 enodes) 28.933 * * [simplify]: iters left: 2 (136 enodes) 28.971 * * [simplify]: iters left: 1 (225 enodes) 29.044 * * [simplify]: Extracting #0: cost 1 inf + 0 29.044 * * [simplify]: Extracting #1: cost 15 inf + 0 29.044 * * [simplify]: Extracting #2: cost 57 inf + 1 29.045 * * [simplify]: Extracting #3: cost 80 inf + 87 29.045 * * [simplify]: Extracting #4: cost 71 inf + 626 29.047 * * [simplify]: Extracting #5: cost 61 inf + 2160 29.051 * * [simplify]: Extracting #6: cost 22 inf + 24046 29.059 * * [simplify]: Extracting #7: cost 2 inf + 38130 29.068 * * [simplify]: Extracting #8: cost 0 inf + 39992 29.077 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 29.077 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.078 * [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)))))) 29.078 * * [simplify]: iters left: 6 (10 enodes) 29.083 * * [simplify]: iters left: 5 (37 enodes) 29.097 * * [simplify]: iters left: 4 (55 enodes) 29.119 * * [simplify]: iters left: 3 (99 enodes) 29.150 * * [simplify]: iters left: 2 (150 enodes) 29.180 * * [simplify]: iters left: 1 (220 enodes) 29.256 * * [simplify]: Extracting #0: cost 1 inf + 0 29.256 * * [simplify]: Extracting #1: cost 0 inf + 1 29.256 * [simplify]: Simplified to 0 29.256 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.256 * * * * [progress]: [ 2 / 190 ] simplifiying candidate # 29.256 * [simplify]: Simplifying (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) 29.257 * * [simplify]: iters left: 6 (11 enodes) 29.260 * * [simplify]: iters left: 5 (38 enodes) 29.266 * * [simplify]: iters left: 4 (51 enodes) 29.275 * * [simplify]: iters left: 3 (58 enodes) 29.290 * * [simplify]: iters left: 2 (62 enodes) 29.298 * * [simplify]: iters left: 1 (64 enodes) 29.306 * * [simplify]: Extracting #0: cost 1 inf + 0 29.306 * * [simplify]: Extracting #1: cost 9 inf + 0 29.306 * * [simplify]: Extracting #2: cost 16 inf + 1 29.307 * * [simplify]: Extracting #3: cost 16 inf + 164 29.307 * * [simplify]: Extracting #4: cost 9 inf + 620 29.307 * * [simplify]: Extracting #5: cost 2 inf + 1506 29.307 * * [simplify]: Extracting #6: cost 0 inf + 1822 29.308 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 29.308 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.308 * [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))))) 29.308 * * [simplify]: iters left: 6 (9 enodes) 29.311 * * [simplify]: iters left: 5 (29 enodes) 29.316 * * [simplify]: iters left: 4 (39 enodes) 29.325 * * [simplify]: iters left: 3 (50 enodes) 29.340 * * [simplify]: iters left: 2 (53 enodes) 29.356 * * [simplify]: Extracting #0: cost 1 inf + 0 29.356 * * [simplify]: Extracting #1: cost 0 inf + 1 29.356 * [simplify]: Simplified to 0 29.356 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.356 * * * * [progress]: [ 3 / 190 ] simplifiying candidate # 29.356 * [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))))))) 29.357 * * [simplify]: iters left: 6 (13 enodes) 29.364 * * [simplify]: iters left: 5 (57 enodes) 29.386 * * [simplify]: iters left: 4 (135 enodes) 29.419 * * [simplify]: iters left: 3 (283 enodes) 29.500 * * [simplify]: iters left: 2 (464 enodes) 29.717 * * [simplify]: Extracting #0: cost 1 inf + 0 29.717 * * [simplify]: Extracting #1: cost 23 inf + 0 29.718 * * [simplify]: Extracting #2: cost 86 inf + 1 29.719 * * [simplify]: Extracting #3: cost 110 inf + 85 29.725 * * [simplify]: Extracting #4: cost 85 inf + 4992 29.733 * * [simplify]: Extracting #5: cost 18 inf + 26547 29.746 * * [simplify]: Extracting #6: cost 0 inf + 32664 29.755 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 29.755 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.755 * [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)))))) 29.755 * * [simplify]: iters left: 6 (13 enodes) 29.759 * * [simplify]: iters left: 5 (55 enodes) 29.770 * * [simplify]: iters left: 4 (121 enodes) 29.812 * * [simplify]: iters left: 3 (283 enodes) 29.895 * * [simplify]: iters left: 2 (492 enodes) 30.075 * * [simplify]: Extracting #0: cost 1 inf + 0 30.075 * * [simplify]: Extracting #1: cost 0 inf + 1 30.075 * [simplify]: Simplified to 0 30.075 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 30.075 * * * * [progress]: [ 4 / 190 ] simplifiying candidate # 30.076 * [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)))))) 30.076 * * [simplify]: iters left: 6 (12 enodes) 30.083 * * [simplify]: iters left: 5 (51 enodes) 30.093 * * [simplify]: iters left: 4 (98 enodes) 30.110 * * [simplify]: iters left: 3 (162 enodes) 30.150 * * [simplify]: iters left: 2 (235 enodes) 30.194 * * [simplify]: iters left: 1 (291 enodes) 30.285 * * [simplify]: Extracting #0: cost 1 inf + 0 30.285 * * [simplify]: Extracting #1: cost 17 inf + 0 30.285 * * [simplify]: Extracting #2: cost 43 inf + 1 30.286 * * [simplify]: Extracting #3: cost 55 inf + 83 30.287 * * [simplify]: Extracting #4: cost 33 inf + 3460 30.291 * * [simplify]: Extracting #5: cost 3 inf + 9462 30.297 * * [simplify]: Extracting #6: cost 0 inf + 10116 30.302 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 30.302 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 30.303 * [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))))) 30.303 * * [simplify]: iters left: 6 (12 enodes) 30.310 * * [simplify]: iters left: 5 (49 enodes) 30.327 * * [simplify]: iters left: 4 (86 enodes) 30.342 * * [simplify]: iters left: 3 (161 enodes) 30.390 * * [simplify]: iters left: 2 (251 enodes) 30.436 * * [simplify]: iters left: 1 (327 enodes) 30.552 * * [simplify]: Extracting #0: cost 1 inf + 0 30.552 * * [simplify]: Extracting #1: cost 0 inf + 1 30.552 * [simplify]: Simplified to 0 30.552 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 30.552 * * * * [progress]: [ 5 / 190 ] simplifiying candidate # 30.552 * [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)))) 30.553 * * [simplify]: iters left: 6 (11 enodes) 30.559 * * [simplify]: iters left: 5 (46 enodes) 30.580 * * [simplify]: iters left: 4 (97 enodes) 30.616 * * [simplify]: iters left: 3 (172 enodes) 30.670 * * [simplify]: iters left: 2 (283 enodes) 30.791 * * [simplify]: iters left: 1 (347 enodes) 30.925 * * [simplify]: Extracting #0: cost 1 inf + 0 30.925 * * [simplify]: Extracting #1: cost 13 inf + 0 30.926 * * [simplify]: Extracting #2: cost 34 inf + 1 30.926 * * [simplify]: Extracting #3: cost 40 inf + 165 30.926 * * [simplify]: Extracting #4: cost 32 inf + 1177 30.927 * * [simplify]: Extracting #5: cost 23 inf + 2423 30.928 * * [simplify]: Extracting #6: cost 4 inf + 5726 30.930 * * [simplify]: Extracting #7: cost 0 inf + 6636 30.932 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 30.932 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 30.932 * [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))) 30.932 * * [simplify]: iters left: 6 (11 enodes) 30.936 * * [simplify]: iters left: 5 (44 enodes) 30.946 * * [simplify]: iters left: 4 (86 enodes) 30.973 * * [simplify]: iters left: 3 (167 enodes) 31.026 * * [simplify]: iters left: 2 (261 enodes) 31.126 * * [simplify]: iters left: 1 (329 enodes) 31.238 * * [simplify]: Extracting #0: cost 1 inf + 0 31.238 * * [simplify]: Extracting #1: cost 0 inf + 1 31.238 * [simplify]: Simplified to 0 31.238 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 31.238 * * * * [progress]: [ 6 / 190 ] simplifiying candidate # 31.239 * [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))))))) 31.239 * * [simplify]: iters left: 6 (14 enodes) 31.245 * * [simplify]: iters left: 5 (56 enodes) 31.264 * * [simplify]: iters left: 4 (103 enodes) 31.290 * * [simplify]: iters left: 3 (154 enodes) 31.323 * * [simplify]: iters left: 2 (200 enodes) 31.389 * * [simplify]: iters left: 1 (248 enodes) 31.460 * * [simplify]: Extracting #0: cost 1 inf + 0 31.461 * * [simplify]: Extracting #1: cost 15 inf + 0 31.461 * * [simplify]: Extracting #2: cost 40 inf + 1 31.461 * * [simplify]: Extracting #3: cost 52 inf + 327 31.462 * * [simplify]: Extracting #4: cost 46 inf + 710 31.463 * * [simplify]: Extracting #5: cost 26 inf + 3610 31.467 * * [simplify]: Extracting #6: cost 3 inf + 8912 31.471 * * [simplify]: Extracting #7: cost 0 inf + 9606 31.476 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 31.476 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 31.476 * [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)))))) 31.476 * * [simplify]: iters left: 6 (12 enodes) 31.483 * * [simplify]: iters left: 5 (48 enodes) 31.499 * * [simplify]: iters left: 4 (85 enodes) 31.528 * * [simplify]: iters left: 3 (136 enodes) 31.571 * * [simplify]: iters left: 2 (203 enodes) 31.637 * * [simplify]: iters left: 1 (267 enodes) 31.721 * * [simplify]: Extracting #0: cost 1 inf + 0 31.721 * * [simplify]: Extracting #1: cost 0 inf + 1 31.721 * [simplify]: Simplified to 0 31.721 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 31.721 * * * * [progress]: [ 7 / 190 ] simplifiying candidate # 31.721 * [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)))))) 31.722 * * [simplify]: iters left: 6 (12 enodes) 31.729 * * [simplify]: iters left: 5 (47 enodes) 31.747 * * [simplify]: iters left: 4 (74 enodes) 31.761 * * [simplify]: iters left: 3 (103 enodes) 31.777 * * [simplify]: iters left: 2 (129 enodes) 31.809 * * [simplify]: iters left: 1 (151 enodes) 31.850 * * [simplify]: Extracting #0: cost 1 inf + 0 31.850 * * [simplify]: Extracting #1: cost 13 inf + 0 31.850 * * [simplify]: Extracting #2: cost 31 inf + 1 31.850 * * [simplify]: Extracting #3: cost 37 inf + 205 31.851 * * [simplify]: Extracting #4: cost 30 inf + 652 31.852 * * [simplify]: Extracting #5: cost 11 inf + 3312 31.854 * * [simplify]: Extracting #6: cost 0 inf + 5028 31.856 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 31.856 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 31.856 * [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))))) 31.857 * * [simplify]: iters left: 6 (10 enodes) 31.859 * * [simplify]: iters left: 5 (40 enodes) 31.866 * * [simplify]: iters left: 4 (63 enodes) 31.877 * * [simplify]: iters left: 3 (91 enodes) 31.898 * * [simplify]: iters left: 2 (121 enodes) 31.926 * * [simplify]: iters left: 1 (144 enodes) 31.947 * * [simplify]: Extracting #0: cost 1 inf + 0 31.947 * * [simplify]: Extracting #1: cost 0 inf + 1 31.947 * [simplify]: Simplified to 0 31.947 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 31.947 * * * * [progress]: [ 8 / 190 ] simplifiying candidate # 31.948 * [simplify]: Simplifying (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) 31.948 * * [simplify]: iters left: 6 (12 enodes) 31.951 * * [simplify]: iters left: 5 (47 enodes) 31.968 * * [simplify]: iters left: 4 (79 enodes) 31.995 * * [simplify]: iters left: 3 (114 enodes) 32.031 * * [simplify]: iters left: 2 (133 enodes) 32.053 * * [simplify]: iters left: 1 (158 enodes) 32.082 * * [simplify]: Extracting #0: cost 1 inf + 0 32.082 * * [simplify]: Extracting #1: cost 11 inf + 0 32.082 * * [simplify]: Extracting #2: cost 26 inf + 1 32.082 * * [simplify]: Extracting #3: cost 27 inf + 206 32.083 * * [simplify]: Extracting #4: cost 17 inf + 1060 32.084 * * [simplify]: Extracting #5: cost 4 inf + 2718 32.085 * * [simplify]: Extracting #6: cost 0 inf + 3268 32.087 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 32.087 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 32.087 * [simplify]: Simplifying (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1))) 32.088 * * [simplify]: iters left: 6 (10 enodes) 32.093 * * [simplify]: iters left: 5 (39 enodes) 32.107 * * [simplify]: iters left: 4 (64 enodes) 32.119 * * [simplify]: iters left: 3 (116 enodes) 32.137 * * [simplify]: iters left: 2 (130 enodes) 32.169 * * [simplify]: iters left: 1 (141 enodes) 32.199 * * [simplify]: Extracting #0: cost 1 inf + 0 32.199 * * [simplify]: Extracting #1: cost 0 inf + 1 32.199 * [simplify]: Simplified to 0 32.199 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 32.200 * * * * [progress]: [ 9 / 190 ] simplifiying candidate # 32.200 * [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))))))) 32.200 * * [simplify]: iters left: 6 (13 enodes) 32.204 * * [simplify]: iters left: 5 (54 enodes) 32.215 * * [simplify]: iters left: 4 (108 enodes) 32.243 * * [simplify]: iters left: 3 (191 enodes) 32.338 * * [simplify]: iters left: 2 (309 enodes) 32.514 * * [simplify]: iters left: 1 (460 enodes) 32.752 * * [simplify]: Extracting #0: cost 1 inf + 0 32.753 * * [simplify]: Extracting #1: cost 21 inf + 0 32.753 * * [simplify]: Extracting #2: cost 53 inf + 4 32.754 * * [simplify]: Extracting #3: cost 68 inf + 86 32.755 * * [simplify]: Extracting #4: cost 60 inf + 663 32.757 * * [simplify]: Extracting #5: cost 30 inf + 5316 32.764 * * [simplify]: Extracting #6: cost 0 inf + 11396 32.771 * * [simplify]: Extracting #7: cost 0 inf + 11356 32.779 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 32.779 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 32.780 * [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)))))) 32.780 * * [simplify]: iters left: 6 (11 enodes) 32.787 * * [simplify]: iters left: 5 (47 enodes) 32.804 * * [simplify]: iters left: 4 (85 enodes) 32.846 * * [simplify]: iters left: 3 (163 enodes) 32.901 * * [simplify]: iters left: 2 (301 enodes) 33.029 * * [simplify]: iters left: 1 (445 enodes) 33.253 * * [simplify]: Extracting #0: cost 1 inf + 0 33.253 * * [simplify]: Extracting #1: cost 0 inf + 1 33.253 * [simplify]: Simplified to 0 33.253 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 33.254 * * * * [progress]: [ 10 / 190 ] simplifiying candidate # 33.254 * [simplify]: Simplifying (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x)))))) 33.254 * * [simplify]: iters left: 6 (12 enodes) 33.261 * * [simplify]: iters left: 5 (49 enodes) 33.280 * * [simplify]: iters left: 4 (86 enodes) 33.305 * * [simplify]: iters left: 3 (137 enodes) 33.335 * * [simplify]: iters left: 2 (197 enodes) 33.403 * * [simplify]: iters left: 1 (252 enodes) 33.483 * * [simplify]: Extracting #0: cost 1 inf + 0 33.483 * * [simplify]: Extracting #1: cost 17 inf + 0 33.484 * * [simplify]: Extracting #2: cost 40 inf + 4 33.484 * * [simplify]: Extracting #3: cost 47 inf + 166 33.485 * * [simplify]: Extracting #4: cost 44 inf + 409 33.486 * * [simplify]: Extracting #5: cost 22 inf + 2759 33.489 * * [simplify]: Extracting #6: cost 2 inf + 5721 33.493 * * [simplify]: Extracting #7: cost 0 inf + 5997 33.496 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 33.496 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 33.497 * [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))))) 33.497 * * [simplify]: iters left: 6 (10 enodes) 33.501 * * [simplify]: iters left: 5 (42 enodes) 33.509 * * [simplify]: iters left: 4 (65 enodes) 33.522 * * [simplify]: iters left: 3 (111 enodes) 33.564 * * [simplify]: iters left: 2 (204 enodes) 33.602 * * [simplify]: iters left: 1 (248 enodes) 33.647 * * [simplify]: Extracting #0: cost 1 inf + 0 33.647 * * [simplify]: Extracting #1: cost 0 inf + 1 33.647 * [simplify]: Simplified to 0 33.647 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 33.647 * * * * [progress]: [ 11 / 190 ] simplifiying candidate # 33.647 * [simplify]: Simplifying (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) 33.647 * * [simplify]: iters left: 6 (11 enodes) 33.651 * * [simplify]: iters left: 5 (43 enodes) 33.665 * * [simplify]: iters left: 4 (62 enodes) 33.677 * * [simplify]: iters left: 3 (81 enodes) 33.688 * * [simplify]: iters left: 2 (89 enodes) 33.700 * * [simplify]: iters left: 1 (93 enodes) 33.719 * * [simplify]: Extracting #0: cost 1 inf + 0 33.720 * * [simplify]: Extracting #1: cost 9 inf + 0 33.720 * * [simplify]: Extracting #2: cost 12 inf + 3 33.720 * * [simplify]: Extracting #3: cost 12 inf + 85 33.720 * * [simplify]: Extracting #4: cost 7 inf + 466 33.720 * * [simplify]: Extracting #5: cost 1 inf + 1093 33.721 * * [simplify]: Extracting #6: cost 0 inf + 1191 33.721 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 33.721 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 33.722 * [simplify]: Simplifying (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1))) 33.722 * * [simplify]: iters left: 6 (9 enodes) 33.727 * * [simplify]: iters left: 5 (35 enodes) 33.735 * * [simplify]: iters left: 4 (54 enodes) 33.743 * * [simplify]: iters left: 3 (65 enodes) 33.753 * * [simplify]: iters left: 2 (84 enodes) 33.767 * * [simplify]: Extracting #0: cost 1 inf + 0 33.768 * * [simplify]: Extracting #1: cost 0 inf + 1 33.768 * [simplify]: Simplified to 0 33.768 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 33.768 * * * * [progress]: [ 12 / 190 ] simplifiying candidate # 33.768 * [simplify]: Simplifying (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (hypot 1 x)) 1))) 33.769 * * [simplify]: iters left: 6 (10 enodes) 33.775 * * [simplify]: iters left: 5 (40 enodes) 33.790 * * [simplify]: iters left: 4 (59 enodes) 33.811 * * [simplify]: iters left: 3 (78 enodes) 33.836 * * [simplify]: iters left: 2 (86 enodes) 33.855 * * [simplify]: iters left: 1 (90 enodes) 33.871 * * [simplify]: Extracting #0: cost 1 inf + 0 33.871 * * [simplify]: Extracting #1: cost 9 inf + 0 33.871 * * [simplify]: Extracting #2: cost 12 inf + 3 33.872 * * [simplify]: Extracting #3: cost 11 inf + 166 33.872 * * [simplify]: Extracting #4: cost 3 inf + 857 33.873 * * [simplify]: Extracting #5: cost 1 inf + 1093 33.873 * * [simplify]: Extracting #6: cost 0 inf + 1191 33.874 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 33.874 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 33.874 * [simplify]: Simplifying (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1)) 33.874 * * [simplify]: iters left: 6 (8 enodes) 33.880 * * [simplify]: iters left: 5 (32 enodes) 33.892 * * [simplify]: iters left: 4 (47 enodes) 33.906 * * [simplify]: iters left: 3 (58 enodes) 33.925 * * [simplify]: iters left: 2 (76 enodes) 33.942 * * [simplify]: Extracting #0: cost 1 inf + 0 33.942 * * [simplify]: Extracting #1: cost 0 inf + 1 33.942 * [simplify]: Simplified to 0 33.942 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 33.942 * * * * [progress]: [ 13 / 190 ] simplifiying candidate # 33.942 * [simplify]: Simplifying (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 (hypot 1 x)) 1/2))) 33.943 * * [simplify]: iters left: 6 (10 enodes) 33.947 * * [simplify]: iters left: 5 (42 enodes) 33.955 * * [simplify]: iters left: 4 (62 enodes) 33.968 * * [simplify]: iters left: 3 (75 enodes) 33.982 * * [simplify]: iters left: 2 (83 enodes) 34.001 * * [simplify]: iters left: 1 (89 enodes) 34.020 * * [simplify]: Extracting #0: cost 1 inf + 0 34.020 * * [simplify]: Extracting #1: cost 11 inf + 0 34.020 * * [simplify]: Extracting #2: cost 19 inf + 2 34.020 * * [simplify]: Extracting #3: cost 17 inf + 166 34.021 * * [simplify]: Extracting #4: cost 10 inf + 759 34.021 * * [simplify]: Extracting #5: cost 3 inf + 1523 34.022 * * [simplify]: Extracting #6: cost 0 inf + 1857 34.023 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 34.023 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 34.024 * [simplify]: Simplifying (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2)) 34.024 * * [simplify]: iters left: 6 (8 enodes) 34.030 * * [simplify]: iters left: 5 (34 enodes) 34.041 * * [simplify]: iters left: 4 (47 enodes) 34.057 * * [simplify]: iters left: 3 (65 enodes) 34.074 * * [simplify]: iters left: 2 (70 enodes) 34.083 * * [simplify]: iters left: 1 (72 enodes) 34.091 * * [simplify]: Extracting #0: cost 1 inf + 0 34.091 * * [simplify]: Extracting #1: cost 0 inf + 1 34.091 * [simplify]: Simplified to 0 34.091 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 34.091 * * * * [progress]: [ 14 / 190 ] simplifiying candidate # 34.091 * [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))))))) 34.091 * * [simplify]: iters left: 6 (11 enodes) 34.097 * * [simplify]: iters left: 5 (44 enodes) 34.106 * * [simplify]: iters left: 4 (62 enodes) 34.117 * * [simplify]: iters left: 3 (82 enodes) 34.137 * * [simplify]: iters left: 2 (128 enodes) 34.179 * * [simplify]: iters left: 1 (196 enodes) 34.262 * * [simplify]: Extracting #0: cost 1 inf + 0 34.263 * * [simplify]: Extracting #1: cost 12 inf + 0 34.263 * * [simplify]: Extracting #2: cost 49 inf + 1 34.263 * * [simplify]: Extracting #3: cost 79 inf + 46 34.264 * * [simplify]: Extracting #4: cost 70 inf + 402 34.265 * * [simplify]: Extracting #5: cost 54 inf + 5354 34.271 * * [simplify]: Extracting #6: cost 17 inf + 27906 34.277 * * [simplify]: Extracting #7: cost 1 inf + 37713 34.282 * * [simplify]: Extracting #8: cost 0 inf + 38644 34.286 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 34.286 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 34.286 * [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)))))) 34.287 * * [simplify]: iters left: 6 (10 enodes) 34.290 * * [simplify]: iters left: 5 (37 enodes) 34.296 * * [simplify]: iters left: 4 (55 enodes) 34.307 * * [simplify]: iters left: 3 (99 enodes) 34.347 * * [simplify]: iters left: 2 (150 enodes) 34.392 * * [simplify]: iters left: 1 (220 enodes) 34.475 * * [simplify]: Extracting #0: cost 1 inf + 0 34.475 * * [simplify]: Extracting #1: cost 0 inf + 1 34.476 * [simplify]: Simplified to 0 34.476 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 34.476 * * * * [progress]: [ 15 / 190 ] simplifiying candidate # 34.476 * [simplify]: Simplifying (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) 34.476 * * [simplify]: iters left: 6 (10 enodes) 34.482 * * [simplify]: iters left: 5 (35 enodes) 34.494 * * [simplify]: iters left: 4 (44 enodes) 34.507 * * [simplify]: iters left: 3 (47 enodes) 34.516 * * [simplify]: iters left: 2 (49 enodes) 34.523 * * [simplify]: Extracting #0: cost 1 inf + 0 34.523 * * [simplify]: Extracting #1: cost 8 inf + 0 34.523 * * [simplify]: Extracting #2: cost 14 inf + 1 34.523 * * [simplify]: Extracting #3: cost 15 inf + 43 34.523 * * [simplify]: Extracting #4: cost 12 inf + 86 34.523 * * [simplify]: Extracting #5: cost 6 inf + 632 34.524 * * [simplify]: Extracting #6: cost 0 inf + 1500 34.524 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 34.524 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 34.524 * [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))))) 34.524 * * [simplify]: iters left: 6 (9 enodes) 34.527 * * [simplify]: iters left: 5 (29 enodes) 34.532 * * [simplify]: iters left: 4 (39 enodes) 34.538 * * [simplify]: iters left: 3 (50 enodes) 34.552 * * [simplify]: iters left: 2 (53 enodes) 34.566 * * [simplify]: Extracting #0: cost 1 inf + 0 34.566 * * [simplify]: Extracting #1: cost 0 inf + 1 34.566 * [simplify]: Simplified to 0 34.566 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 34.566 * * * * [progress]: [ 16 / 190 ] simplifiying candidate # 34.566 * [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))))))) 34.566 * * [simplify]: iters left: 6 (14 enodes) 34.574 * * [simplify]: iters left: 5 (60 enodes) 34.600 * * [simplify]: iters left: 4 (135 enodes) 34.640 * * [simplify]: iters left: 3 (284 enodes) 34.733 * * [simplify]: iters left: 2 (469 enodes) 34.913 * * [simplify]: Extracting #0: cost 1 inf + 0 34.913 * * [simplify]: Extracting #1: cost 16 inf + 0 34.914 * * [simplify]: Extracting #2: cost 73 inf + 1 34.915 * * [simplify]: Extracting #3: cost 106 inf + 489 34.916 * * [simplify]: Extracting #4: cost 98 inf + 1332 34.918 * * [simplify]: Extracting #5: cost 72 inf + 6692 34.926 * * [simplify]: Extracting #6: cost 19 inf + 25160 34.938 * * [simplify]: Extracting #7: cost 0 inf + 32226 34.950 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 34.950 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 34.950 * [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)))))) 34.950 * * [simplify]: iters left: 6 (13 enodes) 34.962 * * [simplify]: iters left: 5 (55 enodes) 34.984 * * [simplify]: iters left: 4 (121 enodes) 35.013 * * [simplify]: iters left: 3 (283 enodes) 35.101 * * [simplify]: iters left: 2 (492 enodes) 35.281 * * [simplify]: Extracting #0: cost 1 inf + 0 35.281 * * [simplify]: Extracting #1: cost 0 inf + 1 35.281 * [simplify]: Simplified to 0 35.281 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 35.281 * * * * [progress]: [ 17 / 190 ] simplifiying candidate # 35.281 * [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)))))) 35.281 * * [simplify]: iters left: 6 (13 enodes) 35.285 * * [simplify]: iters left: 5 (54 enodes) 35.296 * * [simplify]: iters left: 4 (98 enodes) 35.333 * * [simplify]: iters left: 3 (161 enodes) 35.378 * * [simplify]: iters left: 2 (235 enodes) 35.446 * * [simplify]: iters left: 1 (273 enodes) 35.536 * * [simplify]: Extracting #0: cost 1 inf + 0 35.536 * * [simplify]: Extracting #1: cost 12 inf + 0 35.536 * * [simplify]: Extracting #2: cost 39 inf + 1 35.537 * * [simplify]: Extracting #3: cost 51 inf + 649 35.539 * * [simplify]: Extracting #4: cost 27 inf + 4792 35.544 * * [simplify]: Extracting #5: cost 2 inf + 9842 35.549 * * [simplify]: Extracting #6: cost 0 inf + 10198 35.554 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 35.554 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 35.555 * [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))))) 35.555 * * [simplify]: iters left: 6 (12 enodes) 35.561 * * [simplify]: iters left: 5 (49 enodes) 35.578 * * [simplify]: iters left: 4 (86 enodes) 35.608 * * [simplify]: iters left: 3 (161 enodes) 35.656 * * [simplify]: iters left: 2 (251 enodes) 35.714 * * [simplify]: iters left: 1 (327 enodes) 35.804 * * [simplify]: Extracting #0: cost 1 inf + 0 35.804 * * [simplify]: Extracting #1: cost 0 inf + 1 35.804 * [simplify]: Simplified to 0 35.804 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 35.804 * * * * [progress]: [ 18 / 190 ] simplifiying candidate # 35.804 * [simplify]: Simplifying (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1)))) 35.804 * * [simplify]: iters left: 6 (12 enodes) 35.808 * * [simplify]: iters left: 5 (49 enodes) 35.828 * * [simplify]: iters left: 4 (99 enodes) 35.870 * * [simplify]: iters left: 3 (173 enodes) 35.945 * * [simplify]: iters left: 2 (296 enodes) 36.086 * * [simplify]: iters left: 1 (354 enodes) 36.588 * * [simplify]: Extracting #0: cost 1 inf + 0 36.588 * * [simplify]: Extracting #1: cost 14 inf + 0 36.588 * * [simplify]: Extracting #2: cost 35 inf + 1 36.589 * * [simplify]: Extracting #3: cost 36 inf + 772 36.590 * * [simplify]: Extracting #4: cost 22 inf + 2521 36.592 * * [simplify]: Extracting #5: cost 7 inf + 5134 36.597 * * [simplify]: Extracting #6: cost 0 inf + 6620 36.601 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 36.601 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 36.601 * [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))) 36.601 * * [simplify]: iters left: 6 (11 enodes) 36.608 * * [simplify]: iters left: 5 (44 enodes) 36.624 * * [simplify]: iters left: 4 (86 enodes) 36.656 * * [simplify]: iters left: 3 (167 enodes) 36.696 * * [simplify]: iters left: 2 (261 enodes) 36.791 * * [simplify]: iters left: 1 (329 enodes) 36.875 * * [simplify]: Extracting #0: cost 1 inf + 0 36.875 * * [simplify]: Extracting #1: cost 0 inf + 1 36.875 * [simplify]: Simplified to 0 36.875 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 36.875 * * * * [progress]: [ 19 / 190 ] simplifiying candidate # 36.876 * [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))))))) 36.876 * * [simplify]: iters left: 6 (12 enodes) 36.879 * * [simplify]: iters left: 5 (50 enodes) 36.889 * * [simplify]: iters left: 4 (92 enodes) 36.905 * * [simplify]: iters left: 3 (140 enodes) 36.927 * * [simplify]: iters left: 2 (187 enodes) 36.959 * * [simplify]: iters left: 1 (227 enodes) 36.995 * * [simplify]: Extracting #0: cost 1 inf + 0 36.995 * * [simplify]: Extracting #1: cost 10 inf + 0 36.995 * * [simplify]: Extracting #2: cost 36 inf + 1 36.995 * * [simplify]: Extracting #3: cost 58 inf + 43 36.995 * * [simplify]: Extracting #4: cost 51 inf + 307 36.996 * * [simplify]: Extracting #5: cost 23 inf + 5865 36.998 * * [simplify]: Extracting #6: cost 2 inf + 10750 37.000 * * [simplify]: Extracting #7: cost 0 inf + 11146 37.003 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 37.003 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 37.003 * [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)))))) 37.003 * * [simplify]: iters left: 6 (12 enodes) 37.007 * * [simplify]: iters left: 5 (48 enodes) 37.018 * * [simplify]: iters left: 4 (85 enodes) 37.033 * * [simplify]: iters left: 3 (136 enodes) 37.056 * * [simplify]: iters left: 2 (203 enodes) 37.110 * * [simplify]: iters left: 1 (267 enodes) 37.163 * * [simplify]: Extracting #0: cost 1 inf + 0 37.163 * * [simplify]: Extracting #1: cost 0 inf + 1 37.164 * [simplify]: Simplified to 0 37.164 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 37.164 * * * * [progress]: [ 20 / 190 ] simplifiying candidate # 37.164 * [simplify]: Simplifying (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) 37.164 * * [simplify]: iters left: 6 (10 enodes) 37.170 * * [simplify]: iters left: 5 (41 enodes) 37.185 * * [simplify]: iters left: 4 (63 enodes) 37.206 * * [simplify]: iters left: 3 (90 enodes) 37.236 * * [simplify]: iters left: 2 (113 enodes) 37.266 * * [simplify]: iters left: 1 (126 enodes) 37.302 * * [simplify]: Extracting #0: cost 1 inf + 0 37.302 * * [simplify]: Extracting #1: cost 8 inf + 0 37.302 * * [simplify]: Extracting #2: cost 24 inf + 1 37.303 * * [simplify]: Extracting #3: cost 35 inf + 43 37.303 * * [simplify]: Extracting #4: cost 22 inf + 1288 37.306 * * [simplify]: Extracting #5: cost 3 inf + 4171 37.309 * * [simplify]: Extracting #6: cost 0 inf + 4624 37.312 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 37.312 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 37.313 * [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))))) 37.313 * * [simplify]: iters left: 6 (10 enodes) 37.318 * * [simplify]: iters left: 5 (40 enodes) 37.332 * * [simplify]: iters left: 4 (63 enodes) 37.354 * * [simplify]: iters left: 3 (91 enodes) 37.381 * * [simplify]: iters left: 2 (121 enodes) 37.398 * * [simplify]: iters left: 1 (144 enodes) 37.422 * * [simplify]: Extracting #0: cost 1 inf + 0 37.422 * * [simplify]: Extracting #1: cost 0 inf + 1 37.422 * [simplify]: Simplified to 0 37.422 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 37.422 * * * * [progress]: [ 21 / 190 ] simplifiying candidate # 37.423 * [simplify]: Simplifying (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) 37.423 * * [simplify]: iters left: 6 (10 enodes) 37.426 * * [simplify]: iters left: 5 (41 enodes) 37.434 * * [simplify]: iters left: 4 (72 enodes) 37.446 * * [simplify]: iters left: 3 (108 enodes) 37.471 * * [simplify]: iters left: 2 (124 enodes) 37.490 * * [simplify]: iters left: 1 (142 enodes) 37.513 * * [simplify]: Extracting #0: cost 1 inf + 0 37.513 * * [simplify]: Extracting #1: cost 9 inf + 0 37.513 * * [simplify]: Extracting #2: cost 22 inf + 1 37.514 * * [simplify]: Extracting #3: cost 23 inf + 248 37.514 * * [simplify]: Extracting #4: cost 11 inf + 1622 37.515 * * [simplify]: Extracting #5: cost 1 inf + 2889 37.515 * * [simplify]: Extracting #6: cost 0 inf + 3026 37.516 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 37.516 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 37.517 * [simplify]: Simplifying (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1))) 37.517 * * [simplify]: iters left: 6 (10 enodes) 37.520 * * [simplify]: iters left: 5 (39 enodes) 37.527 * * [simplify]: iters left: 4 (64 enodes) 37.545 * * [simplify]: iters left: 3 (116 enodes) 37.580 * * [simplify]: iters left: 2 (130 enodes) 37.609 * * [simplify]: iters left: 1 (141 enodes) 37.637 * * [simplify]: Extracting #0: cost 1 inf + 0 37.637 * * [simplify]: Extracting #1: cost 0 inf + 1 37.637 * [simplify]: Simplified to 0 37.637 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 37.637 * * * * [progress]: [ 22 / 190 ] simplifiying candidate # 37.637 * [simplify]: Simplifying (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) 37.638 * * [simplify]: iters left: 6 (12 enodes) 37.645 * * [simplify]: iters left: 5 (51 enodes) 37.665 * * [simplify]: iters left: 4 (101 enodes) 37.706 * * [simplify]: iters left: 3 (176 enodes) 37.774 * * [simplify]: iters left: 2 (295 enodes) 37.909 * * [simplify]: iters left: 1 (407 enodes) 38.183 * * [simplify]: Extracting #0: cost 1 inf + 0 38.183 * * [simplify]: Extracting #1: cost 20 inf + 0 38.184 * * [simplify]: Extracting #2: cost 51 inf + 4 38.184 * * [simplify]: Extracting #3: cost 66 inf + 46 38.185 * * [simplify]: Extracting #4: cost 36 inf + 4538 38.188 * * [simplify]: Extracting #5: cost 2 inf + 10637 38.192 * * [simplify]: Extracting #6: cost 0 inf + 11073 38.196 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 38.196 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 38.196 * [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)))))) 38.196 * * [simplify]: iters left: 6 (11 enodes) 38.200 * * [simplify]: iters left: 5 (47 enodes) 38.213 * * [simplify]: iters left: 4 (85 enodes) 38.251 * * [simplify]: iters left: 3 (163 enodes) 38.316 * * [simplify]: iters left: 2 (301 enodes) 38.419 * * [simplify]: iters left: 1 (445 enodes) 38.616 * * [simplify]: Extracting #0: cost 1 inf + 0 38.616 * * [simplify]: Extracting #1: cost 0 inf + 1 38.616 * [simplify]: Simplified to 0 38.616 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 38.616 * * * * [progress]: [ 23 / 190 ] simplifiying candidate # 38.617 * [simplify]: Simplifying (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x)))))) 38.617 * * [simplify]: iters left: 6 (11 enodes) 38.624 * * [simplify]: iters left: 5 (46 enodes) 38.633 * * [simplify]: iters left: 4 (79 enodes) 38.649 * * [simplify]: iters left: 3 (124 enodes) 38.678 * * [simplify]: iters left: 2 (192 enodes) 38.752 * * [simplify]: iters left: 1 (238 enodes) 38.805 * * [simplify]: Extracting #0: cost 1 inf + 0 38.805 * * [simplify]: Extracting #1: cost 16 inf + 0 38.806 * * [simplify]: Extracting #2: cost 38 inf + 4 38.806 * * [simplify]: Extracting #3: cost 46 inf + 45 38.807 * * [simplify]: Extracting #4: cost 38 inf + 592 38.808 * * [simplify]: Extracting #5: cost 16 inf + 3141 38.812 * * [simplify]: Extracting #6: cost 2 inf + 5357 38.815 * * [simplify]: Extracting #7: cost 0 inf + 5673 38.819 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 38.819 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 38.819 * [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))))) 38.819 * * [simplify]: iters left: 6 (10 enodes) 38.825 * * [simplify]: iters left: 5 (42 enodes) 38.840 * * [simplify]: iters left: 4 (65 enodes) 38.864 * * [simplify]: iters left: 3 (111 enodes) 38.914 * * [simplify]: iters left: 2 (204 enodes) 38.983 * * [simplify]: iters left: 1 (248 enodes) 39.036 * * [simplify]: Extracting #0: cost 1 inf + 0 39.036 * * [simplify]: Extracting #1: cost 0 inf + 1 39.036 * [simplify]: Simplified to 0 39.036 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 39.037 * * * * [progress]: [ 24 / 190 ] simplifiying candidate # 39.037 * [simplify]: Simplifying (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) 39.037 * * [simplify]: iters left: 6 (10 enodes) 39.040 * * [simplify]: iters left: 5 (40 enodes) 39.048 * * [simplify]: iters left: 4 (55 enodes) 39.057 * * [simplify]: iters left: 3 (68 enodes) 39.066 * * [simplify]: iters left: 2 (76 enodes) 39.079 * * [simplify]: Extracting #0: cost 1 inf + 0 39.079 * * [simplify]: Extracting #1: cost 8 inf + 0 39.079 * * [simplify]: Extracting #2: cost 10 inf + 3 39.079 * * [simplify]: Extracting #3: cost 9 inf + 86 39.079 * * [simplify]: Extracting #4: cost 8 inf + 87 39.080 * * [simplify]: Extracting #5: cost 2 inf + 633 39.080 * * [simplify]: Extracting #6: cost 0 inf + 869 39.081 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 39.081 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 39.081 * [simplify]: Simplifying (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1))) 39.081 * * [simplify]: iters left: 6 (9 enodes) 39.087 * * [simplify]: iters left: 5 (35 enodes) 39.099 * * [simplify]: iters left: 4 (54 enodes) 39.115 * * [simplify]: iters left: 3 (65 enodes) 39.134 * * [simplify]: iters left: 2 (84 enodes) 39.142 * * [simplify]: Extracting #0: cost 1 inf + 0 39.143 * * [simplify]: Extracting #1: cost 0 inf + 1 39.143 * [simplify]: Simplified to 0 39.143 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 39.143 * * * * [progress]: [ 25 / 190 ] simplifiying candidate # 39.143 * [simplify]: Simplifying (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (hypot 1 x)) 1))) 39.143 * * [simplify]: iters left: 6 (9 enodes) 39.147 * * [simplify]: iters left: 5 (37 enodes) 39.154 * * [simplify]: iters left: 4 (52 enodes) 39.164 * * [simplify]: iters left: 3 (65 enodes) 39.176 * * [simplify]: iters left: 2 (73 enodes) 39.184 * * [simplify]: Extracting #0: cost 1 inf + 0 39.184 * * [simplify]: Extracting #1: cost 8 inf + 0 39.184 * * [simplify]: Extracting #2: cost 10 inf + 3 39.184 * * [simplify]: Extracting #3: cost 10 inf + 45 39.184 * * [simplify]: Extracting #4: cost 8 inf + 87 39.184 * * [simplify]: Extracting #5: cost 5 inf + 299 39.185 * * [simplify]: Extracting #6: cost 0 inf + 869 39.185 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 39.185 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 39.185 * [simplify]: Simplifying (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1)) 39.185 * * [simplify]: iters left: 6 (8 enodes) 39.188 * * [simplify]: iters left: 5 (32 enodes) 39.195 * * [simplify]: iters left: 4 (47 enodes) 39.202 * * [simplify]: iters left: 3 (58 enodes) 39.214 * * [simplify]: iters left: 2 (76 enodes) 39.223 * * [simplify]: Extracting #0: cost 1 inf + 0 39.223 * * [simplify]: Extracting #1: cost 0 inf + 1 39.224 * [simplify]: Simplified to 0 39.224 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 39.224 * * * * [progress]: [ 26 / 190 ] simplifiying candidate # 39.224 * [simplify]: Simplifying (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 (hypot 1 x)) 1/2))) 39.224 * * [simplify]: iters left: 6 (9 enodes) 39.227 * * [simplify]: iters left: 5 (39 enodes) 39.235 * * [simplify]: iters left: 4 (55 enodes) 39.244 * * [simplify]: iters left: 3 (64 enodes) 39.253 * * [simplify]: iters left: 2 (76 enodes) 39.263 * * [simplify]: iters left: 1 (77 enodes) 39.271 * * [simplify]: Extracting #0: cost 1 inf + 0 39.271 * * [simplify]: Extracting #1: cost 10 inf + 0 39.271 * * [simplify]: Extracting #2: cost 17 inf + 2 39.271 * * [simplify]: Extracting #3: cost 16 inf + 45 39.271 * * [simplify]: Extracting #4: cost 14 inf + 87 39.272 * * [simplify]: Extracting #5: cost 5 inf + 966 39.272 * * [simplify]: Extracting #6: cost 0 inf + 1533 39.272 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 39.272 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 39.273 * [simplify]: Simplifying (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2)) 39.273 * * [simplify]: iters left: 6 (8 enodes) 39.276 * * [simplify]: iters left: 5 (34 enodes) 39.281 * * [simplify]: iters left: 4 (47 enodes) 39.290 * * [simplify]: iters left: 3 (65 enodes) 39.301 * * [simplify]: iters left: 2 (70 enodes) 39.309 * * [simplify]: iters left: 1 (72 enodes) 39.316 * * [simplify]: Extracting #0: cost 1 inf + 0 39.316 * * [simplify]: Extracting #1: cost 0 inf + 1 39.316 * [simplify]: Simplified to 0 39.316 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 39.316 * * * * [progress]: [ 27 / 190 ] simplifiying candidate # 39.317 * [simplify]: Simplifying (fma 1 1/2 (- (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x))))))) 39.317 * * [simplify]: iters left: 6 (10 enodes) 39.320 * * [simplify]: iters left: 5 (41 enodes) 39.327 * * [simplify]: iters left: 4 (58 enodes) 39.337 * * [simplify]: iters left: 3 (79 enodes) 39.356 * * [simplify]: iters left: 2 (125 enodes) 39.379 * * [simplify]: iters left: 1 (193 enodes) 39.426 * * [simplify]: Extracting #0: cost 1 inf + 0 39.427 * * [simplify]: Extracting #1: cost 12 inf + 0 39.427 * * [simplify]: Extracting #2: cost 47 inf + 2 39.427 * * [simplify]: Extracting #3: cost 78 inf + 6 39.427 * * [simplify]: Extracting #4: cost 69 inf + 556 39.428 * * [simplify]: Extracting #5: cost 55 inf + 4679 39.431 * * [simplify]: Extracting #6: cost 17 inf + 26587 39.435 * * [simplify]: Extracting #7: cost 0 inf + 40137 39.440 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 39.440 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 39.440 * [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)))))) 39.440 * * [simplify]: iters left: 6 (10 enodes) 39.443 * * [simplify]: iters left: 5 (37 enodes) 39.451 * * [simplify]: iters left: 4 (55 enodes) 39.470 * * [simplify]: iters left: 3 (99 enodes) 39.488 * * [simplify]: iters left: 2 (150 enodes) 39.520 * * [simplify]: iters left: 1 (220 enodes) 39.569 * * [simplify]: Extracting #0: cost 1 inf + 0 39.569 * * [simplify]: Extracting #1: cost 0 inf + 1 39.569 * [simplify]: Simplified to 0 39.569 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 39.570 * * * * [progress]: [ 28 / 190 ] simplifiying candidate # 39.570 * [simplify]: Simplifying (fma 1 1/2 (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) 39.570 * * [simplify]: iters left: 6 (9 enodes) 39.573 * * [simplify]: iters left: 5 (32 enodes) 39.578 * * [simplify]: iters left: 4 (40 enodes) 39.584 * * [simplify]: iters left: 3 (44 enodes) 39.595 * * [simplify]: iters left: 2 (46 enodes) 39.608 * * [simplify]: Extracting #0: cost 1 inf + 0 39.608 * * [simplify]: Extracting #1: cost 8 inf + 0 39.608 * * [simplify]: Extracting #2: cost 12 inf + 2 39.608 * * [simplify]: Extracting #3: cost 13 inf + 3 39.608 * * [simplify]: Extracting #4: cost 8 inf + 314 39.609 * * [simplify]: Extracting #5: cost 0 inf + 1418 39.609 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 39.609 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 39.610 * [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))))) 39.610 * * [simplify]: iters left: 6 (9 enodes) 39.615 * * [simplify]: iters left: 5 (29 enodes) 39.624 * * [simplify]: iters left: 4 (39 enodes) 39.636 * * [simplify]: iters left: 3 (50 enodes) 39.650 * * [simplify]: iters left: 2 (53 enodes) 39.663 * * [simplify]: Extracting #0: cost 1 inf + 0 39.663 * * [simplify]: Extracting #1: cost 0 inf + 1 39.663 * [simplify]: Simplified to 0 39.663 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 39.663 * * * * [progress]: [ 29 / 190 ] simplifiying candidate # 39.664 * [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))))))) 39.664 * * [simplify]: iters left: 6 (13 enodes) 39.675 * * [simplify]: iters left: 5 (57 enodes) 39.691 * * [simplify]: iters left: 4 (131 enodes) 39.720 * * [simplify]: iters left: 3 (281 enodes) 39.845 * * [simplify]: iters left: 2 (469 enodes) 40.031 * * [simplify]: Extracting #0: cost 1 inf + 0 40.031 * * [simplify]: Extracting #1: cost 16 inf + 0 40.032 * * [simplify]: Extracting #2: cost 74 inf + 2 40.033 * * [simplify]: Extracting #3: cost 105 inf + 569 40.034 * * [simplify]: Extracting #4: cost 100 inf + 975 40.035 * * [simplify]: Extracting #5: cost 79 inf + 5343 40.046 * * [simplify]: Extracting #6: cost 18 inf + 24441 40.057 * * [simplify]: Extracting #7: cost 2 inf + 30977 40.066 * * [simplify]: Extracting #8: cost 0 inf + 32246 40.076 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 40.076 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 40.077 * [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)))))) 40.077 * * [simplify]: iters left: 6 (13 enodes) 40.085 * * [simplify]: iters left: 5 (55 enodes) 40.105 * * [simplify]: iters left: 4 (121 enodes) 40.150 * * [simplify]: iters left: 3 (283 enodes) 40.228 * * [simplify]: iters left: 2 (492 enodes) 40.440 * * [simplify]: Extracting #0: cost 1 inf + 0 40.440 * * [simplify]: Extracting #1: cost 0 inf + 1 40.440 * [simplify]: Simplified to 0 40.440 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 40.440 * * * * [progress]: [ 30 / 190 ] simplifiying candidate # 40.441 * [simplify]: Simplifying (fma 1 1/2 (- (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x)))))) 40.441 * * [simplify]: iters left: 6 (12 enodes) 40.445 * * [simplify]: iters left: 5 (51 enodes) 40.454 * * [simplify]: iters left: 4 (94 enodes) 40.469 * * [simplify]: iters left: 3 (158 enodes) 40.506 * * [simplify]: iters left: 2 (234 enodes) 40.559 * * [simplify]: iters left: 1 (273 enodes) 40.645 * * [simplify]: Extracting #0: cost 1 inf + 0 40.645 * * [simplify]: Extracting #1: cost 12 inf + 0 40.645 * * [simplify]: Extracting #2: cost 36 inf + 83 40.646 * * [simplify]: Extracting #3: cost 50 inf + 568 40.647 * * [simplify]: Extracting #4: cost 27 inf + 4390 40.651 * * [simplify]: Extracting #5: cost 2 inf + 9560 40.656 * * [simplify]: Extracting #6: cost 0 inf + 10116 40.661 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 40.661 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 40.662 * [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))))) 40.662 * * [simplify]: iters left: 6 (12 enodes) 40.668 * * [simplify]: iters left: 5 (49 enodes) 40.685 * * [simplify]: iters left: 4 (86 enodes) 40.712 * * [simplify]: iters left: 3 (161 enodes) 40.754 * * [simplify]: iters left: 2 (251 enodes) 40.806 * * [simplify]: iters left: 1 (327 enodes) 40.890 * * [simplify]: Extracting #0: cost 1 inf + 0 40.890 * * [simplify]: Extracting #1: cost 0 inf + 1 40.890 * [simplify]: Simplified to 0 40.890 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 40.890 * * * * [progress]: [ 31 / 190 ] simplifiying candidate # 40.890 * [simplify]: Simplifying (fma 1 1/2 (- (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1)))) 40.891 * * [simplify]: iters left: 6 (11 enodes) 40.897 * * [simplify]: iters left: 5 (46 enodes) 40.918 * * [simplify]: iters left: 4 (95 enodes) 40.953 * * [simplify]: iters left: 3 (170 enodes) 40.997 * * [simplify]: iters left: 2 (291 enodes) 41.146 * * [simplify]: iters left: 1 (351 enodes) 41.284 * * [simplify]: Extracting #0: cost 1 inf + 0 41.284 * * [simplify]: Extracting #1: cost 14 inf + 0 41.285 * * [simplify]: Extracting #2: cost 33 inf + 2 41.285 * * [simplify]: Extracting #3: cost 31 inf + 1458 41.286 * * [simplify]: Extracting #4: cost 15 inf + 3766 41.287 * * [simplify]: Extracting #5: cost 2 inf + 6240 41.289 * * [simplify]: Extracting #6: cost 0 inf + 6636 41.291 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 41.291 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 41.291 * [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))) 41.291 * * [simplify]: iters left: 6 (11 enodes) 41.295 * * [simplify]: iters left: 5 (44 enodes) 41.303 * * [simplify]: iters left: 4 (86 enodes) 41.329 * * [simplify]: iters left: 3 (167 enodes) 41.393 * * [simplify]: iters left: 2 (261 enodes) 41.463 * * [simplify]: iters left: 1 (329 enodes) 41.546 * * [simplify]: Extracting #0: cost 1 inf + 0 41.546 * * [simplify]: Extracting #1: cost 0 inf + 1 41.546 * [simplify]: Simplified to 0 41.546 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 41.546 * * * * [progress]: [ 32 / 190 ] simplifiying candidate # 41.547 * [simplify]: Simplifying (fma 1 1/2 (- (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) 41.547 * * [simplify]: iters left: 6 (12 enodes) 41.551 * * [simplify]: iters left: 5 (50 enodes) 41.560 * * [simplify]: iters left: 4 (92 enodes) 41.588 * * [simplify]: iters left: 3 (138 enodes) 41.628 * * [simplify]: iters left: 2 (184 enodes) 41.664 * * [simplify]: iters left: 1 (225 enodes) 41.711 * * [simplify]: Extracting #0: cost 1 inf + 0 41.711 * * [simplify]: Extracting #1: cost 10 inf + 0 41.711 * * [simplify]: Extracting #2: cost 32 inf + 2 41.712 * * [simplify]: Extracting #3: cost 50 inf + 125 41.712 * * [simplify]: Extracting #4: cost 46 inf + 306 41.712 * * [simplify]: Extracting #5: cost 25 inf + 3626 41.714 * * [simplify]: Extracting #6: cost 2 inf + 8766 41.716 * * [simplify]: Extracting #7: cost 0 inf + 9202 41.719 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 41.719 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 41.719 * [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)))))) 41.719 * * [simplify]: iters left: 6 (12 enodes) 41.723 * * [simplify]: iters left: 5 (48 enodes) 41.731 * * [simplify]: iters left: 4 (85 enodes) 41.752 * * [simplify]: iters left: 3 (136 enodes) 41.785 * * [simplify]: iters left: 2 (203 enodes) 41.835 * * [simplify]: iters left: 1 (267 enodes) 41.889 * * [simplify]: Extracting #0: cost 1 inf + 0 41.889 * * [simplify]: Extracting #1: cost 0 inf + 1 41.889 * [simplify]: Simplified to 0 41.889 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 41.889 * * * * [progress]: [ 33 / 190 ] simplifiying candidate # 41.890 * [simplify]: Simplifying (fma 1 1/2 (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) 41.890 * * [simplify]: iters left: 6 (10 enodes) 41.896 * * [simplify]: iters left: 5 (41 enodes) 41.912 * * [simplify]: iters left: 4 (63 enodes) 41.928 * * [simplify]: iters left: 3 (89 enodes) 41.941 * * [simplify]: iters left: 2 (113 enodes) 41.961 * * [simplify]: iters left: 1 (128 enodes) 41.991 * * [simplify]: Extracting #0: cost 1 inf + 0 41.991 * * [simplify]: Extracting #1: cost 8 inf + 0 41.991 * * [simplify]: Extracting #2: cost 23 inf + 2 41.991 * * [simplify]: Extracting #3: cost 33 inf + 125 41.991 * * [simplify]: Extracting #4: cost 21 inf + 1329 41.992 * * [simplify]: Extracting #5: cost 2 inf + 4389 41.993 * * [simplify]: Extracting #6: cost 0 inf + 4624 41.995 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 41.995 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 41.995 * [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))))) 41.995 * * [simplify]: iters left: 6 (10 enodes) 41.998 * * [simplify]: iters left: 5 (40 enodes) 42.007 * * [simplify]: iters left: 4 (63 enodes) 42.018 * * [simplify]: iters left: 3 (91 enodes) 42.032 * * [simplify]: iters left: 2 (121 enodes) 42.053 * * [simplify]: iters left: 1 (144 enodes) 42.088 * * [simplify]: Extracting #0: cost 1 inf + 0 42.088 * * [simplify]: Extracting #1: cost 0 inf + 1 42.088 * [simplify]: Simplified to 0 42.088 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 42.088 * * * * [progress]: [ 34 / 190 ] simplifiying candidate # 42.089 * [simplify]: Simplifying (fma 1 1/2 (- (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) 42.089 * * [simplify]: iters left: 6 (10 enodes) 42.095 * * [simplify]: iters left: 5 (41 enodes) 42.110 * * [simplify]: iters left: 4 (68 enodes) 42.129 * * [simplify]: iters left: 3 (99 enodes) 42.144 * * [simplify]: iters left: 2 (118 enodes) 42.170 * * [simplify]: iters left: 1 (138 enodes) 42.201 * * [simplify]: Extracting #0: cost 1 inf + 0 42.201 * * [simplify]: Extracting #1: cost 10 inf + 0 42.201 * * [simplify]: Extracting #2: cost 19 inf + 124 42.201 * * [simplify]: Extracting #3: cost 20 inf + 451 42.201 * * [simplify]: Extracting #4: cost 9 inf + 1704 42.202 * * [simplify]: Extracting #5: cost 1 inf + 2687 42.203 * * [simplify]: Extracting #6: cost 0 inf + 2864 42.204 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 42.204 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 42.204 * [simplify]: Simplifying (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1))) 42.204 * * [simplify]: iters left: 6 (10 enodes) 42.207 * * [simplify]: iters left: 5 (39 enodes) 42.216 * * [simplify]: iters left: 4 (64 enodes) 42.232 * * [simplify]: iters left: 3 (116 enodes) 42.267 * * [simplify]: iters left: 2 (130 enodes) 42.297 * * [simplify]: iters left: 1 (141 enodes) 42.312 * * [simplify]: Extracting #0: cost 1 inf + 0 42.312 * * [simplify]: Extracting #1: cost 0 inf + 1 42.312 * [simplify]: Simplified to 0 42.312 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 42.312 * * * * [progress]: [ 35 / 190 ] simplifiying candidate # 42.313 * [simplify]: Simplifying (fma 1 1/2 (- (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) 42.313 * * [simplify]: iters left: 6 (11 enodes) 42.316 * * [simplify]: iters left: 5 (48 enodes) 42.329 * * [simplify]: iters left: 4 (97 enodes) 42.348 * * [simplify]: iters left: 3 (168 enodes) 42.421 * * [simplify]: iters left: 2 (289 enodes) 42.528 * * [simplify]: iters left: 1 (397 enodes) 42.746 * * [simplify]: Extracting #0: cost 1 inf + 0 42.746 * * [simplify]: Extracting #1: cost 19 inf + 0 42.746 * * [simplify]: Extracting #2: cost 49 inf + 4 42.747 * * [simplify]: Extracting #3: cost 63 inf + 5 42.748 * * [simplify]: Extracting #4: cost 31 inf + 5159 42.752 * * [simplify]: Extracting #5: cost 1 inf + 10337 42.755 * * [simplify]: Extracting #6: cost 0 inf + 10515 42.759 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 42.759 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 42.759 * [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)))))) 42.759 * * [simplify]: iters left: 6 (11 enodes) 42.763 * * [simplify]: iters left: 5 (47 enodes) 42.775 * * [simplify]: iters left: 4 (85 enodes) 42.812 * * [simplify]: iters left: 3 (163 enodes) 42.882 * * [simplify]: iters left: 2 (301 enodes) 42.980 * * [simplify]: iters left: 1 (445 enodes) 43.177 * * [simplify]: Extracting #0: cost 1 inf + 0 43.178 * * [simplify]: Extracting #1: cost 0 inf + 1 43.178 * [simplify]: Simplified to 0 43.178 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.178 * * * * [progress]: [ 36 / 190 ] simplifiying candidate # 43.178 * [simplify]: Simplifying (fma 1 1/2 (- (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x)))))) 43.178 * * [simplify]: iters left: 6 (10 enodes) 43.184 * * [simplify]: iters left: 5 (43 enodes) 43.200 * * [simplify]: iters left: 4 (75 enodes) 43.225 * * [simplify]: iters left: 3 (118 enodes) 43.275 * * [simplify]: iters left: 2 (186 enodes) 43.329 * * [simplify]: iters left: 1 (232 enodes) 43.382 * * [simplify]: Extracting #0: cost 1 inf + 0 43.382 * * [simplify]: Extracting #1: cost 15 inf + 0 43.382 * * [simplify]: Extracting #2: cost 36 inf + 4 43.383 * * [simplify]: Extracting #3: cost 45 inf + 4 43.383 * * [simplify]: Extracting #4: cost 35 inf + 845 43.384 * * [simplify]: Extracting #5: cost 11 inf + 3872 43.386 * * [simplify]: Extracting #6: cost 1 inf + 5453 43.387 * * [simplify]: Extracting #7: cost 0 inf + 5591 43.389 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 43.389 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 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)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.390 * [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))))) 43.390 * * [simplify]: iters left: 6 (10 enodes) 43.393 * * [simplify]: iters left: 5 (42 enodes) 43.406 * * [simplify]: iters left: 4 (65 enodes) 43.419 * * [simplify]: iters left: 3 (111 enodes) 43.452 * * [simplify]: iters left: 2 (204 enodes) 43.494 * * [simplify]: iters left: 1 (248 enodes) 43.556 * * [simplify]: Extracting #0: cost 1 inf + 0 43.556 * * [simplify]: Extracting #1: cost 0 inf + 1 43.556 * [simplify]: Simplified to 0 43.556 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.556 * * * * [progress]: [ 37 / 190 ] simplifiying candidate # 43.556 * [simplify]: Simplifying (fma 1 1/2 (- (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) 43.556 * * [simplify]: iters left: 6 (9 enodes) 43.560 * * [simplify]: iters left: 5 (37 enodes) 43.566 * * [simplify]: iters left: 4 (49 enodes) 43.576 * * [simplify]: iters left: 3 (63 enodes) 43.591 * * [simplify]: iters left: 2 (71 enodes) 43.600 * * [simplify]: Extracting #0: cost 1 inf + 0 43.600 * * [simplify]: Extracting #1: cost 7 inf + 0 43.600 * * [simplify]: Extracting #2: cost 8 inf + 3 43.600 * * [simplify]: Extracting #3: cost 9 inf + 4 43.601 * * [simplify]: Extracting #4: cost 6 inf + 160 43.601 * * [simplify]: Extracting #5: cost 0 inf + 787 43.601 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 43.601 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.601 * [simplify]: Simplifying (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1))) 43.601 * * [simplify]: iters left: 6 (9 enodes) 43.604 * * [simplify]: iters left: 5 (35 enodes) 43.611 * * [simplify]: iters left: 4 (54 enodes) 43.619 * * [simplify]: iters left: 3 (65 enodes) 43.633 * * [simplify]: iters left: 2 (84 enodes) 43.641 * * [simplify]: Extracting #0: cost 1 inf + 0 43.641 * * [simplify]: Extracting #1: cost 0 inf + 1 43.641 * [simplify]: Simplified to 0 43.641 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.642 * * * * [progress]: [ 38 / 190 ] simplifiying candidate # 43.642 * [simplify]: Simplifying (fma 1 1/2 (- (* (/ 1/2 (hypot 1 x)) 1))) 43.642 * * [simplify]: iters left: 6 (8 enodes) 43.645 * * [simplify]: iters left: 5 (34 enodes) 43.651 * * [simplify]: iters left: 4 (46 enodes) 43.659 * * [simplify]: iters left: 3 (60 enodes) 43.674 * * [simplify]: iters left: 2 (68 enodes) 43.682 * * [simplify]: Extracting #0: cost 1 inf + 0 43.682 * * [simplify]: Extracting #1: cost 7 inf + 0 43.682 * * [simplify]: Extracting #2: cost 8 inf + 3 43.682 * * [simplify]: Extracting #3: cost 9 inf + 4 43.682 * * [simplify]: Extracting #4: cost 2 inf + 591 43.682 * * [simplify]: Extracting #5: cost 0 inf + 787 43.683 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 43.683 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.683 * [simplify]: Simplifying (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1)) 43.683 * * [simplify]: iters left: 6 (8 enodes) 43.686 * * [simplify]: iters left: 5 (32 enodes) 43.692 * * [simplify]: iters left: 4 (47 enodes) 43.700 * * [simplify]: iters left: 3 (58 enodes) 43.714 * * [simplify]: iters left: 2 (76 enodes) 43.727 * * [simplify]: Extracting #0: cost 1 inf + 0 43.727 * * [simplify]: Extracting #1: cost 0 inf + 1 43.727 * [simplify]: Simplified to 0 43.727 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.727 * * * * [progress]: [ 39 / 190 ] simplifiying candidate # 43.727 * [simplify]: Simplifying (fma 1 1/2 (- (* (/ 1 (hypot 1 x)) 1/2))) 43.727 * * [simplify]: iters left: 6 (8 enodes) 43.730 * * [simplify]: iters left: 5 (35 enodes) 43.737 * * [simplify]: iters left: 4 (50 enodes) 43.748 * * [simplify]: iters left: 3 (60 enodes) 43.758 * * [simplify]: iters left: 2 (72 enodes) 43.767 * * [simplify]: iters left: 1 (73 enodes) 43.779 * * [simplify]: Extracting #0: cost 1 inf + 0 43.779 * * [simplify]: Extracting #1: cost 10 inf + 0 43.779 * * [simplify]: Extracting #2: cost 14 inf + 3 43.779 * * [simplify]: Extracting #3: cost 15 inf + 4 43.779 * * [simplify]: Extracting #4: cost 10 inf + 355 43.780 * * [simplify]: Extracting #5: cost 1 inf + 1314 43.780 * * [simplify]: Extracting #6: cost 0 inf + 1451 43.780 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 43.780 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.781 * [simplify]: Simplifying (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2)) 43.781 * * [simplify]: iters left: 6 (8 enodes) 43.783 * * [simplify]: iters left: 5 (34 enodes) 43.789 * * [simplify]: iters left: 4 (47 enodes) 43.797 * * [simplify]: iters left: 3 (65 enodes) 43.806 * * [simplify]: iters left: 2 (70 enodes) 43.816 * * [simplify]: iters left: 1 (72 enodes) 43.828 * * [simplify]: Extracting #0: cost 1 inf + 0 43.828 * * [simplify]: Extracting #1: cost 0 inf + 1 43.828 * [simplify]: Simplified to 0 43.828 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) 0) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.828 * * * * [progress]: [ 40 / 190 ] simplifiying candidate # 43.828 * * * * [progress]: [ 41 / 190 ] simplifiying candidate # 43.828 * * * * [progress]: [ 42 / 190 ] simplifiying candidate # 43.829 * [simplify]: Simplifying (* (cbrt 1/2) (cbrt 1/2)) 43.829 * * [simplify]: iters left: 3 (3 enodes) 43.830 * * [simplify]: iters left: 2 (9 enodes) 43.831 * * [simplify]: Extracting #0: cost 1 inf + 0 43.832 * * [simplify]: Extracting #1: cost 3 inf + 0 43.832 * * [simplify]: Extracting #2: cost 5 inf + 0 43.832 * * [simplify]: Extracting #3: cost 4 inf + 1 43.832 * * [simplify]: Extracting #4: cost 0 inf + 405 43.832 * [simplify]: Simplified to (* (cbrt 1/2) (cbrt 1/2)) 43.832 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.832 * * * * [progress]: [ 43 / 190 ] simplifiying candidate # 43.832 * [simplify]: Simplifying (sqrt 1/2) 43.832 * * [simplify]: iters left: 1 (2 enodes) 43.833 * * [simplify]: Extracting #0: cost 1 inf + 0 43.833 * * [simplify]: Extracting #1: cost 3 inf + 0 43.833 * * [simplify]: Extracting #2: cost 2 inf + 1 43.833 * * [simplify]: Extracting #3: cost 0 inf + 83 43.833 * [simplify]: Simplified to (sqrt 1/2) 43.833 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (fma (sqrt 1/2) (sqrt 1/2) (- (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.833 * * * * [progress]: [ 44 / 190 ] simplifiying candidate # 43.833 * * * * [progress]: [ 45 / 190 ] simplifiying candidate # 43.833 * [simplify]: Simplifying (/ (exp 1/2) (exp (/ 1/2 (hypot 1 x)))) 43.833 * * [simplify]: iters left: 6 (8 enodes) 43.836 * * [simplify]: iters left: 5 (28 enodes) 43.841 * * [simplify]: iters left: 4 (34 enodes) 43.847 * * [simplify]: iters left: 3 (42 enodes) 43.853 * * [simplify]: iters left: 2 (48 enodes) 43.861 * * [simplify]: iters left: 1 (52 enodes) 43.869 * * [simplify]: Extracting #0: cost 1 inf + 0 43.869 * * [simplify]: Extracting #1: cost 9 inf + 0 43.869 * * [simplify]: Extracting #2: cost 15 inf + 1 43.869 * * [simplify]: Extracting #3: cost 18 inf + 2 43.869 * * [simplify]: Extracting #4: cost 18 inf + 74 43.869 * * [simplify]: Extracting #5: cost 16 inf + 146 43.869 * * [simplify]: Extracting #6: cost 12 inf + 456 43.870 * * [simplify]: Extracting #7: cost 1 inf + 2364 43.870 * * [simplify]: Extracting #8: cost 0 inf + 2502 43.871 * [simplify]: Simplified to (exp (- 1/2 (/ 1/2 (hypot 1 x)))) 43.871 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (log (exp (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.871 * * * * [progress]: [ 46 / 190 ] simplifiying candidate # 43.871 * * * * [progress]: [ 47 / 190 ] simplifiying candidate # 43.871 * * * * [progress]: [ 48 / 190 ] simplifiying candidate # 43.871 * * * * [progress]: [ 49 / 190 ] simplifiying candidate # 43.871 * * * * [progress]: [ 50 / 190 ] simplifiying candidate # 43.871 * * * * [progress]: [ 51 / 190 ] simplifiying candidate # 43.871 * * * * [progress]: [ 52 / 190 ] simplifiying candidate # 43.871 * * * * [progress]: [ 53 / 190 ] simplifiying candidate # 43.871 * * * * [progress]: [ 54 / 190 ] simplifiying candidate # 43.871 * * * * [progress]: [ 55 / 190 ] simplifiying candidate # 43.871 * * * * [progress]: [ 56 / 190 ] simplifiying candidate # 43.871 * [simplify]: Simplifying (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) 43.872 * * [simplify]: iters left: 6 (8 enodes) 43.874 * * [simplify]: iters left: 5 (27 enodes) 43.879 * * [simplify]: iters left: 4 (29 enodes) 43.883 * * [simplify]: Extracting #0: cost 1 inf + 0 43.883 * * [simplify]: Extracting #1: cost 4 inf + 0 43.883 * * [simplify]: Extracting #2: cost 8 inf + 0 43.883 * * [simplify]: Extracting #3: cost 9 inf + 1 43.884 * * [simplify]: Extracting #4: cost 10 inf + 83 43.884 * * [simplify]: Extracting #5: cost 8 inf + 85 43.884 * * [simplify]: Extracting #6: cost 5 inf + 297 43.884 * * [simplify]: Extracting #7: cost 1 inf + 889 43.884 * * [simplify]: Extracting #8: cost 0 inf + 1107 43.885 * [simplify]: Simplified to (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) 43.885 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (* (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.885 * [simplify]: Simplifying (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) 43.885 * * [simplify]: iters left: 6 (8 enodes) 43.890 * * [simplify]: iters left: 5 (28 enodes) 43.898 * * [simplify]: iters left: 4 (33 enodes) 43.906 * * [simplify]: Extracting #0: cost 1 inf + 0 43.906 * * [simplify]: Extracting #1: cost 5 inf + 0 43.906 * * [simplify]: Extracting #2: cost 10 inf + 0 43.906 * * [simplify]: Extracting #3: cost 11 inf + 1 43.906 * * [simplify]: Extracting #4: cost 12 inf + 83 43.906 * * [simplify]: Extracting #5: cost 10 inf + 85 43.907 * * [simplify]: Extracting #6: cost 7 inf + 297 43.907 * * [simplify]: Extracting #7: cost 0 inf + 1463 43.907 * [simplify]: Simplified to (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) 43.907 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (* (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.907 * * * * [progress]: [ 57 / 190 ] simplifiying candidate # 43.908 * [simplify]: Simplifying (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 43.908 * * [simplify]: iters left: 6 (8 enodes) 43.912 * * [simplify]: iters left: 5 (27 enodes) 43.917 * * [simplify]: iters left: 4 (29 enodes) 43.921 * * [simplify]: Extracting #0: cost 1 inf + 0 43.921 * * [simplify]: Extracting #1: cost 4 inf + 0 43.921 * * [simplify]: Extracting #2: cost 8 inf + 0 43.921 * * [simplify]: Extracting #3: cost 9 inf + 1 43.921 * * [simplify]: Extracting #4: cost 10 inf + 83 43.921 * * [simplify]: Extracting #5: cost 8 inf + 85 43.922 * * [simplify]: Extracting #6: cost 5 inf + 296 43.922 * * [simplify]: Extracting #7: cost 1 inf + 967 43.922 * * [simplify]: Extracting #8: cost 0 inf + 1185 43.922 * [simplify]: Simplified to (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 43.922 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* 1 (/ (* (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.922 * [simplify]: Simplifying (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 43.922 * * [simplify]: iters left: 6 (8 enodes) 43.925 * * [simplify]: iters left: 5 (28 enodes) 43.931 * * [simplify]: iters left: 4 (35 enodes) 43.937 * * [simplify]: iters left: 3 (37 enodes) 43.943 * * [simplify]: Extracting #0: cost 1 inf + 0 43.943 * * [simplify]: Extracting #1: cost 5 inf + 0 43.943 * * [simplify]: Extracting #2: cost 11 inf + 0 43.943 * * [simplify]: Extracting #3: cost 13 inf + 1 43.943 * * [simplify]: Extracting #4: cost 14 inf + 123 43.943 * * [simplify]: Extracting #5: cost 10 inf + 247 43.944 * * [simplify]: Extracting #6: cost 7 inf + 458 43.944 * * [simplify]: Extracting #7: cost 0 inf + 1783 43.944 * [simplify]: Simplified to (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 43.944 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (* (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.944 * * * * [progress]: [ 58 / 190 ] simplifiying candidate # 43.944 * [simplify]: Simplifying (- 1/2 (/ 1/2 (hypot 1 x))) 43.944 * * [simplify]: iters left: 5 (6 enodes) 43.946 * * [simplify]: iters left: 4 (22 enodes) 43.950 * * [simplify]: iters left: 3 (30 enodes) 43.955 * * [simplify]: iters left: 2 (32 enodes) 43.960 * * [simplify]: Extracting #0: cost 1 inf + 0 43.960 * * [simplify]: Extracting #1: cost 5 inf + 0 43.960 * * [simplify]: Extracting #2: cost 8 inf + 1 43.960 * * [simplify]: Extracting #3: cost 10 inf + 2 43.960 * * [simplify]: Extracting #4: cost 8 inf + 4 43.960 * * [simplify]: Extracting #5: cost 2 inf + 550 43.960 * * [simplify]: Extracting #6: cost 0 inf + 786 43.961 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 43.961 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* 1 (/ (* 1 (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.961 * * * * [progress]: [ 59 / 190 ] simplifiying candidate # 43.961 * * * * [progress]: [ 60 / 190 ] simplifiying candidate #real (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 43.961 * * * * [progress]: [ 61 / 190 ] simplifiying candidate # 43.961 * * * * [progress]: [ 62 / 190 ] simplifiying candidate # 43.961 * * * * [progress]: [ 63 / 190 ] simplifiying candidate # 43.961 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 43.961 * * [simplify]: iters left: 3 (3 enodes) 43.965 * * [simplify]: iters left: 2 (11 enodes) 43.966 * * [simplify]: iters left: 1 (13 enodes) 43.968 * * [simplify]: Extracting #0: cost 1 inf + 0 43.968 * * [simplify]: Extracting #1: cost 0 inf + 1 43.968 * [simplify]: Simplified to 1 43.968 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (fma 1 (cbrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.968 * * * * [progress]: [ 64 / 190 ] simplifiying candidate # 43.968 * [simplify]: Simplifying (sqrt 1) 43.968 * * [simplify]: iters left: 1 (2 enodes) 43.970 * * [simplify]: Extracting #0: cost 1 inf + 0 43.970 * * [simplify]: Extracting #1: cost 0 inf + 1 43.970 * [simplify]: Simplified to 1 43.970 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (fma 1 (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.970 * * * * [progress]: [ 65 / 190 ] simplifiying candidate # 43.970 * * * * [progress]: [ 66 / 190 ] simplifiying candidate # 43.970 * [simplify]: Simplifying (* (exp 1) (exp (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 43.971 * * [simplify]: iters left: 6 (10 enodes) 43.973 * * [simplify]: iters left: 5 (35 enodes) 43.978 * * [simplify]: iters left: 4 (42 enodes) 43.988 * * [simplify]: Extracting #0: cost 1 inf + 0 43.988 * * [simplify]: Extracting #1: cost 5 inf + 0 43.988 * * [simplify]: Extracting #2: cost 8 inf + 1 43.988 * * [simplify]: Extracting #3: cost 9 inf + 2 43.988 * * [simplify]: Extracting #4: cost 12 inf + 2 43.988 * * [simplify]: Extracting #5: cost 13 inf + 3 43.989 * * [simplify]: Extracting #6: cost 15 inf + 3 43.989 * * [simplify]: Extracting #7: cost 14 inf + 4 43.989 * * [simplify]: Extracting #8: cost 12 inf + 159 43.989 * * [simplify]: Extracting #9: cost 7 inf + 768 43.990 * * [simplify]: Extracting #10: cost 1 inf + 2166 43.990 * * [simplify]: Extracting #11: cost 0 inf + 2454 43.991 * [simplify]: Simplified to (exp (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 43.991 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (log (exp (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.991 * * * * [progress]: [ 67 / 190 ] simplifiying candidate # 43.991 * * * * [progress]: [ 68 / 190 ] simplifiying candidate # 43.991 * * * * [progress]: [ 69 / 190 ] simplifiying candidate # 43.991 * * * * [progress]: [ 70 / 190 ] simplifiying candidate # 43.991 * * * * [progress]: [ 71 / 190 ] simplifiying candidate # 43.992 * * * * [progress]: [ 72 / 190 ] simplifiying candidate # 43.992 * * * * [progress]: [ 73 / 190 ] simplifiying candidate # 43.992 * * * * [progress]: [ 74 / 190 ] simplifiying candidate # 43.992 * * * * [progress]: [ 75 / 190 ] simplifiying candidate # 43.992 * * * * [progress]: [ 76 / 190 ] simplifiying candidate # 43.992 * [simplify]: Simplifying (sqrt 1) 43.992 * * [simplify]: iters left: 1 (2 enodes) 43.995 * * [simplify]: Extracting #0: cost 1 inf + 0 43.995 * * [simplify]: Extracting #1: cost 0 inf + 1 43.995 * [simplify]: Simplified to 1 43.995 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (* 1 (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 43.996 * [simplify]: Simplifying (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 43.996 * * [simplify]: iters left: 6 (9 enodes) 44.001 * * [simplify]: iters left: 5 (31 enodes) 44.010 * * [simplify]: iters left: 4 (33 enodes) 44.017 * * [simplify]: Extracting #0: cost 1 inf + 0 44.017 * * [simplify]: Extracting #1: cost 4 inf + 0 44.018 * * [simplify]: Extracting #2: cost 5 inf + 1 44.018 * * [simplify]: Extracting #3: cost 8 inf + 1 44.018 * * [simplify]: Extracting #4: cost 9 inf + 2 44.018 * * [simplify]: Extracting #5: cost 11 inf + 2 44.018 * * [simplify]: Extracting #6: cost 10 inf + 3 44.018 * * [simplify]: Extracting #7: cost 8 inf + 158 44.018 * * [simplify]: Extracting #8: cost 4 inf + 629 44.019 * * [simplify]: Extracting #9: cost 0 inf + 1381 44.019 * [simplify]: Simplified to (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 44.019 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (* (sqrt 1) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 44.019 * * * * [progress]: [ 77 / 190 ] simplifiying candidate # 44.020 * [simplify]: Simplifying (sqrt 1) 44.020 * * [simplify]: iters left: 1 (2 enodes) 44.023 * * [simplify]: Extracting #0: cost 1 inf + 0 44.023 * * [simplify]: Extracting #1: cost 0 inf + 1 44.024 * [simplify]: Simplified to 1 44.024 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (* 1 (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 44.024 * [simplify]: Simplifying (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 44.024 * * [simplify]: iters left: 6 (9 enodes) 44.027 * * [simplify]: iters left: 5 (31 enodes) 44.032 * * [simplify]: iters left: 4 (33 enodes) 44.037 * * [simplify]: Extracting #0: cost 1 inf + 0 44.037 * * [simplify]: Extracting #1: cost 4 inf + 0 44.037 * * [simplify]: Extracting #2: cost 5 inf + 1 44.037 * * [simplify]: Extracting #3: cost 8 inf + 1 44.037 * * [simplify]: Extracting #4: cost 9 inf + 2 44.037 * * [simplify]: Extracting #5: cost 11 inf + 2 44.038 * * [simplify]: Extracting #6: cost 10 inf + 3 44.038 * * [simplify]: Extracting #7: cost 8 inf + 158 44.038 * * [simplify]: Extracting #8: cost 4 inf + 629 44.038 * * [simplify]: Extracting #9: cost 0 inf + 1381 44.038 * [simplify]: Simplified to (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 44.038 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (* (sqrt 1) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 44.038 * * * * [progress]: [ 78 / 190 ] simplifiying candidate # 44.039 * [simplify]: Simplifying (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 44.039 * * [simplify]: iters left: 6 (8 enodes) 44.041 * * [simplify]: iters left: 5 (28 enodes) 44.045 * * [simplify]: iters left: 4 (30 enodes) 44.050 * * [simplify]: Extracting #0: cost 1 inf + 0 44.050 * * [simplify]: Extracting #1: cost 4 inf + 0 44.050 * * [simplify]: Extracting #2: cost 5 inf + 1 44.050 * * [simplify]: Extracting #3: cost 8 inf + 1 44.050 * * [simplify]: Extracting #4: cost 9 inf + 2 44.050 * * [simplify]: Extracting #5: cost 11 inf + 2 44.050 * * [simplify]: Extracting #6: cost 9 inf + 60 44.050 * * [simplify]: Extracting #7: cost 5 inf + 451 44.050 * * [simplify]: Extracting #8: cost 1 inf + 1163 44.051 * * [simplify]: Extracting #9: cost 0 inf + 1381 44.051 * [simplify]: Simplified to (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 44.051 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (* 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 44.051 * * * * [progress]: [ 79 / 190 ] simplifiying candidate #real (real->posit16 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))> 44.051 * * * * [progress]: [ 80 / 190 ] simplifiying candidate # 44.051 * * * * [progress]: [ 81 / 190 ] simplifiying candidate # 44.051 * * * * [progress]: [ 82 / 190 ] simplifiying candidate # 44.051 * * * * [progress]: [ 83 / 190 ] simplifiying candidate # 44.051 * * * * [progress]: [ 84 / 190 ] simplifiying candidate # 44.051 * [simplify]: Simplifying (- (log (- 1/2 (/ 1/2 (hypot 1 x)))) (log (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 44.052 * * [simplify]: iters left: 6 (12 enodes) 44.055 * * [simplify]: iters left: 5 (45 enodes) 44.066 * * [simplify]: iters left: 4 (56 enodes) 44.081 * * [simplify]: iters left: 3 (58 enodes) 44.094 * * [simplify]: Extracting #0: cost 1 inf + 0 44.095 * * [simplify]: Extracting #1: cost 5 inf + 0 44.095 * * [simplify]: Extracting #2: cost 11 inf + 0 44.095 * * [simplify]: Extracting #3: cost 19 inf + 0 44.095 * * [simplify]: Extracting #4: cost 22 inf + 2 44.095 * * [simplify]: Extracting #5: cost 23 inf + 3 44.095 * * [simplify]: Extracting #6: cost 16 inf + 591 44.095 * * [simplify]: Extracting #7: cost 9 inf + 1736 44.096 * * [simplify]: Extracting #8: cost 1 inf + 3950 44.096 * * [simplify]: Extracting #9: cost 0 inf + 4258 44.097 * [simplify]: Simplified to (- (log (- 1/2 (/ 1/2 (hypot 1 x)))) (log1p (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 44.097 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (exp (- (log (- 1/2 (/ 1/2 (hypot 1 x)))) (log1p (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 44.097 * * * * [progress]: [ 85 / 190 ] simplifiying candidate # 44.097 * * * * [progress]: [ 86 / 190 ] simplifiying candidate # 44.097 * * * * [progress]: [ 87 / 190 ] simplifiying candidate # 44.097 * [simplify]: Simplifying (/ (* (* (- 1/2 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x)))) (* (* (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 44.098 * * [simplify]: iters left: 6 (14 enodes) 44.102 * * [simplify]: iters left: 5 (69 enodes) 44.127 * * [simplify]: iters left: 4 (168 enodes) 44.188 * * [simplify]: iters left: 3 (472 enodes) 44.423 * * [simplify]: Extracting #0: cost 1 inf + 0 44.423 * * [simplify]: Extracting #1: cost 54 inf + 0 44.424 * * [simplify]: Extracting #2: cost 252 inf + 3 44.427 * * [simplify]: Extracting #3: cost 396 inf + 5 44.436 * * [simplify]: Extracting #4: cost 290 inf + 32105 44.471 * * [simplify]: Extracting #5: cost 48 inf + 106333 44.506 * * [simplify]: Extracting #6: cost 0 inf + 120405 44.545 * * [simplify]: Extracting #7: cost 0 inf + 120365 44.594 * [simplify]: Simplified to (* (* (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 44.594 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (cbrt (* (* (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 44.594 * * * * [progress]: [ 88 / 190 ] simplifiying candidate # 44.594 * * * * [progress]: [ 89 / 190 ] simplifiying candidate # 44.594 * * * * [progress]: [ 90 / 190 ] simplifiying candidate # 44.594 * * * * [progress]: [ 91 / 190 ] simplifiying candidate # 44.594 * * * * [progress]: [ 92 / 190 ] simplifiying candidate # 44.595 * [simplify]: Simplifying (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 44.595 * * [simplify]: iters left: 6 (9 enodes) 44.597 * * [simplify]: iters left: 5 (31 enodes) 44.602 * * [simplify]: iters left: 4 (33 enodes) 44.607 * * [simplify]: Extracting #0: cost 1 inf + 0 44.607 * * [simplify]: Extracting #1: cost 4 inf + 0 44.607 * * [simplify]: Extracting #2: cost 6 inf + 1 44.607 * * [simplify]: Extracting #3: cost 7 inf + 2 44.607 * * [simplify]: Extracting #4: cost 9 inf + 2 44.607 * * [simplify]: Extracting #5: cost 11 inf + 2 44.607 * * [simplify]: Extracting #6: cost 13 inf + 2 44.607 * * [simplify]: Extracting #7: cost 10 inf + 117 44.607 * * [simplify]: Extracting #8: cost 8 inf + 353 44.608 * * [simplify]: Extracting #9: cost 4 inf + 985 44.608 * * [simplify]: Extracting #10: cost 0 inf + 1897 44.608 * [simplify]: Simplified to (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 44.608 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 44.608 * * * * [progress]: [ 93 / 190 ] simplifiying candidate # 44.609 * [simplify]: Simplifying (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 44.609 * * [simplify]: iters left: 6 (14 enodes) 44.612 * * [simplify]: iters left: 5 (54 enodes) 44.626 * * [simplify]: iters left: 4 (77 enodes) 44.649 * * [simplify]: iters left: 3 (86 enodes) 44.673 * * [simplify]: iters left: 2 (89 enodes) 44.692 * * [simplify]: Extracting #0: cost 1 inf + 0 44.692 * * [simplify]: Extracting #1: cost 11 inf + 0 44.692 * * [simplify]: Extracting #2: cost 22 inf + 0 44.693 * * [simplify]: Extracting #3: cost 29 inf + 0 44.693 * * [simplify]: Extracting #4: cost 33 inf + 2 44.693 * * [simplify]: Extracting #5: cost 35 inf + 3 44.693 * * [simplify]: Extracting #6: cost 28 inf + 670 44.694 * * [simplify]: Extracting #7: cost 6 inf + 7106 44.696 * * [simplify]: Extracting #8: cost 0 inf + 9894 44.697 * [simplify]: Simplified to (* (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 44.697 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* (* (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.698 * [simplify]: Simplifying (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 44.698 * * [simplify]: iters left: 6 (12 enodes) 44.701 * * [simplify]: iters left: 5 (42 enodes) 44.711 * * [simplify]: iters left: 4 (50 enodes) 44.724 * * [simplify]: iters left: 3 (52 enodes) 44.737 * * [simplify]: Extracting #0: cost 1 inf + 0 44.738 * * [simplify]: Extracting #1: cost 4 inf + 0 44.738 * * [simplify]: Extracting #2: cost 8 inf + 0 44.738 * * [simplify]: Extracting #3: cost 15 inf + 0 44.738 * * [simplify]: Extracting #4: cost 19 inf + 2 44.738 * * [simplify]: Extracting #5: cost 21 inf + 3 44.738 * * [simplify]: Extracting #6: cost 15 inf + 492 44.739 * * [simplify]: Extracting #7: cost 6 inf + 2014 44.739 * * [simplify]: Extracting #8: cost 1 inf + 3344 44.741 * * [simplify]: Extracting #9: cost 0 inf + 3802 44.742 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 44.742 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 44.742 * * * * [progress]: [ 94 / 190 ] simplifiying candidate # 44.742 * [simplify]: Simplifying (/ (* (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))))) 44.742 * * [simplify]: iters left: 6 (13 enodes) 44.746 * * [simplify]: iters left: 5 (47 enodes) 44.754 * * [simplify]: iters left: 4 (59 enodes) 44.762 * * [simplify]: iters left: 3 (64 enodes) 44.771 * * [simplify]: Extracting #0: cost 1 inf + 0 44.771 * * [simplify]: Extracting #1: cost 7 inf + 0 44.771 * * [simplify]: Extracting #2: cost 14 inf + 0 44.771 * * [simplify]: Extracting #3: cost 21 inf + 0 44.772 * * [simplify]: Extracting #4: cost 25 inf + 2 44.772 * * [simplify]: Extracting #5: cost 27 inf + 3 44.772 * * [simplify]: Extracting #6: cost 18 inf + 947 44.773 * * [simplify]: Extracting #7: cost 4 inf + 4558 44.775 * * [simplify]: Extracting #8: cost 0 inf + 5910 44.777 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))))) 44.777 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (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 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.778 * [simplify]: Simplifying (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 44.778 * * [simplify]: iters left: 6 (12 enodes) 44.784 * * [simplify]: iters left: 5 (42 enodes) 44.797 * * [simplify]: iters left: 4 (50 enodes) 44.811 * * [simplify]: iters left: 3 (52 enodes) 44.823 * * [simplify]: Extracting #0: cost 1 inf + 0 44.823 * * [simplify]: Extracting #1: cost 4 inf + 0 44.823 * * [simplify]: Extracting #2: cost 8 inf + 0 44.823 * * [simplify]: Extracting #3: cost 15 inf + 0 44.823 * * [simplify]: Extracting #4: cost 19 inf + 2 44.823 * * [simplify]: Extracting #5: cost 21 inf + 3 44.823 * * [simplify]: Extracting #6: cost 15 inf + 492 44.824 * * [simplify]: Extracting #7: cost 6 inf + 2014 44.824 * * [simplify]: Extracting #8: cost 1 inf + 3224 44.825 * * [simplify]: Extracting #9: cost 0 inf + 3642 44.825 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 44.825 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 44.825 * * * * [progress]: [ 95 / 190 ] simplifiying candidate # 44.827 * [simplify]: Simplifying (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 1) 44.827 * * [simplify]: iters left: 6 (9 enodes) 44.830 * * [simplify]: iters left: 5 (31 enodes) 44.836 * * [simplify]: iters left: 4 (47 enodes) 44.843 * * [simplify]: iters left: 3 (50 enodes) 44.852 * * [simplify]: Extracting #0: cost 1 inf + 0 44.852 * * [simplify]: Extracting #1: cost 5 inf + 0 44.852 * * [simplify]: Extracting #2: cost 7 inf + 1 44.852 * * [simplify]: Extracting #3: cost 11 inf + 1 44.853 * * [simplify]: Extracting #4: cost 14 inf + 2 44.853 * * [simplify]: Extracting #5: cost 15 inf + 3 44.853 * * [simplify]: Extracting #6: cost 12 inf + 159 44.853 * * [simplify]: Extracting #7: cost 7 inf + 648 44.854 * * [simplify]: Extracting #8: cost 1 inf + 1996 44.854 * * [simplify]: Extracting #9: cost 0 inf + 2254 44.855 * [simplify]: Simplified to (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 44.855 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 44.856 * [simplify]: Simplifying (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 44.856 * * [simplify]: iters left: 6 (11 enodes) 44.859 * * [simplify]: iters left: 5 (39 enodes) 44.865 * * [simplify]: iters left: 4 (47 enodes) 44.872 * * [simplify]: iters left: 3 (49 enodes) 44.879 * * [simplify]: Extracting #0: cost 1 inf + 0 44.879 * * [simplify]: Extracting #1: cost 4 inf + 0 44.879 * * [simplify]: Extracting #2: cost 9 inf + 0 44.879 * * [simplify]: Extracting #3: cost 14 inf + 1 44.879 * * [simplify]: Extracting #4: cost 18 inf + 2 44.879 * * [simplify]: Extracting #5: cost 19 inf + 3 44.879 * * [simplify]: Extracting #6: cost 16 inf + 159 44.880 * * [simplify]: Extracting #7: cost 10 inf + 786 44.880 * * [simplify]: Extracting #8: cost 3 inf + 2072 44.880 * * [simplify]: Extracting #9: cost 0 inf + 3046 44.881 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 44.881 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 44.881 * * * * [progress]: [ 96 / 190 ] simplifiying candidate # 44.881 * [simplify]: Simplifying (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1)) 44.882 * * [simplify]: iters left: 6 (10 enodes) 44.886 * * [simplify]: iters left: 5 (36 enodes) 44.897 * * [simplify]: iters left: 4 (48 enodes) 44.910 * * [simplify]: iters left: 3 (54 enodes) 44.925 * * [simplify]: iters left: 2 (55 enodes) 44.941 * * [simplify]: Extracting #0: cost 1 inf + 0 44.941 * * [simplify]: Extracting #1: cost 5 inf + 0 44.941 * * [simplify]: Extracting #2: cost 7 inf + 1 44.941 * * [simplify]: Extracting #3: cost 11 inf + 1 44.941 * * [simplify]: Extracting #4: cost 14 inf + 2 44.941 * * [simplify]: Extracting #5: cost 15 inf + 3 44.942 * * [simplify]: Extracting #6: cost 12 inf + 118 44.942 * * [simplify]: Extracting #7: cost 7 inf + 688 44.942 * * [simplify]: Extracting #8: cost 3 inf + 1480 44.943 * * [simplify]: Extracting #9: cost 1 inf + 1996 44.944 * * [simplify]: Extracting #10: cost 0 inf + 2254 44.945 * [simplify]: Simplified to (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 44.945 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* (* (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))))))) 44.945 * [simplify]: Simplifying (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 44.946 * * [simplify]: iters left: 6 (12 enodes) 44.953 * * [simplify]: iters left: 5 (42 enodes) 44.966 * * [simplify]: iters left: 4 (50 enodes) 44.980 * * [simplify]: iters left: 3 (52 enodes) 44.995 * * [simplify]: Extracting #0: cost 1 inf + 0 44.995 * * [simplify]: Extracting #1: cost 4 inf + 0 44.995 * * [simplify]: Extracting #2: cost 9 inf + 0 44.995 * * [simplify]: Extracting #3: cost 14 inf + 1 44.995 * * [simplify]: Extracting #4: cost 18 inf + 2 44.995 * * [simplify]: Extracting #5: cost 19 inf + 3 44.995 * * [simplify]: Extracting #6: cost 16 inf + 118 44.996 * * [simplify]: Extracting #7: cost 11 inf + 688 44.996 * * [simplify]: Extracting #8: cost 5 inf + 1676 44.997 * * [simplify]: Extracting #9: cost 2 inf + 2450 44.998 * * [simplify]: Extracting #10: cost 0 inf + 3046 44.999 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) 44.999 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (* (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 (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 44.999 * * * * [progress]: [ 97 / 190 ] simplifiying candidate # 44.999 * [simplify]: Simplifying (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1)) 45.000 * * [simplify]: iters left: 6 (10 enodes) 45.006 * * [simplify]: iters left: 5 (36 enodes) 45.017 * * [simplify]: iters left: 4 (48 enodes) 45.031 * * [simplify]: iters left: 3 (54 enodes) 45.045 * * [simplify]: iters left: 2 (55 enodes) 45.058 * * [simplify]: Extracting #0: cost 1 inf + 0 45.058 * * [simplify]: Extracting #1: cost 5 inf + 0 45.058 * * [simplify]: Extracting #2: cost 7 inf + 1 45.058 * * [simplify]: Extracting #3: cost 11 inf + 1 45.058 * * [simplify]: Extracting #4: cost 14 inf + 2 45.059 * * [simplify]: Extracting #5: cost 15 inf + 3 45.059 * * [simplify]: Extracting #6: cost 12 inf + 118 45.059 * * [simplify]: Extracting #7: cost 7 inf + 688 45.059 * * [simplify]: Extracting #8: cost 3 inf + 1480 45.060 * * [simplify]: Extracting #9: cost 1 inf + 1996 45.061 * * [simplify]: Extracting #10: cost 0 inf + 2254 45.062 * [simplify]: Simplified to (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 45.062 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* (* (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))))))) 45.062 * [simplify]: Simplifying (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 45.062 * * [simplify]: iters left: 6 (12 enodes) 45.070 * * [simplify]: iters left: 5 (42 enodes) 45.082 * * [simplify]: iters left: 4 (50 enodes) 45.098 * * [simplify]: iters left: 3 (52 enodes) 45.112 * * [simplify]: Extracting #0: cost 1 inf + 0 45.112 * * [simplify]: Extracting #1: cost 4 inf + 0 45.112 * * [simplify]: Extracting #2: cost 9 inf + 0 45.112 * * [simplify]: Extracting #3: cost 14 inf + 1 45.112 * * [simplify]: Extracting #4: cost 18 inf + 2 45.112 * * [simplify]: Extracting #5: cost 19 inf + 3 45.112 * * [simplify]: Extracting #6: cost 16 inf + 118 45.113 * * [simplify]: Extracting #7: cost 11 inf + 688 45.113 * * [simplify]: Extracting #8: cost 5 inf + 1676 45.114 * * [simplify]: Extracting #9: cost 2 inf + 2450 45.115 * * [simplify]: Extracting #10: cost 0 inf + 3046 45.116 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) 45.116 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (* (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 (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 45.116 * * * * [progress]: [ 98 / 190 ] simplifiying candidate # 45.116 * [simplify]: Simplifying (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 1) 45.117 * * [simplify]: iters left: 6 (9 enodes) 45.121 * * [simplify]: iters left: 5 (31 enodes) 45.132 * * [simplify]: iters left: 4 (47 enodes) 45.145 * * [simplify]: iters left: 3 (50 enodes) 45.158 * * [simplify]: Extracting #0: cost 1 inf + 0 45.158 * * [simplify]: Extracting #1: cost 5 inf + 0 45.158 * * [simplify]: Extracting #2: cost 7 inf + 1 45.158 * * [simplify]: Extracting #3: cost 11 inf + 1 45.158 * * [simplify]: Extracting #4: cost 14 inf + 2 45.158 * * [simplify]: Extracting #5: cost 15 inf + 3 45.159 * * [simplify]: Extracting #6: cost 12 inf + 159 45.159 * * [simplify]: Extracting #7: cost 7 inf + 648 45.159 * * [simplify]: Extracting #8: cost 1 inf + 1996 45.160 * * [simplify]: Extracting #9: cost 0 inf + 2254 45.161 * [simplify]: Simplified to (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 45.161 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 45.162 * [simplify]: Simplifying (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 45.162 * * [simplify]: iters left: 6 (11 enodes) 45.167 * * [simplify]: iters left: 5 (39 enodes) 45.180 * * [simplify]: iters left: 4 (47 enodes) 45.194 * * [simplify]: iters left: 3 (49 enodes) 45.207 * * [simplify]: Extracting #0: cost 1 inf + 0 45.208 * * [simplify]: Extracting #1: cost 4 inf + 0 45.208 * * [simplify]: Extracting #2: cost 9 inf + 0 45.208 * * [simplify]: Extracting #3: cost 14 inf + 1 45.208 * * [simplify]: Extracting #4: cost 18 inf + 2 45.208 * * [simplify]: Extracting #5: cost 19 inf + 3 45.208 * * [simplify]: Extracting #6: cost 16 inf + 159 45.208 * * [simplify]: Extracting #7: cost 10 inf + 786 45.209 * * [simplify]: Extracting #8: cost 3 inf + 2072 45.210 * * [simplify]: Extracting #9: cost 0 inf + 3046 45.211 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 45.211 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 45.211 * * * * [progress]: [ 99 / 190 ] simplifiying candidate # 45.211 * [simplify]: Simplifying (/ (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)))))) 45.212 * * [simplify]: iters left: 6 (13 enodes) 45.218 * * [simplify]: iters left: 5 (47 enodes) 45.233 * * [simplify]: iters left: 4 (57 enodes) 45.251 * * [simplify]: iters left: 3 (59 enodes) 45.268 * * [simplify]: Extracting #0: cost 1 inf + 0 45.268 * * [simplify]: Extracting #1: cost 6 inf + 0 45.268 * * [simplify]: Extracting #2: cost 12 inf + 0 45.268 * * [simplify]: Extracting #3: cost 19 inf + 0 45.268 * * [simplify]: Extracting #4: cost 23 inf + 2 45.268 * * [simplify]: Extracting #5: cost 25 inf + 3 45.269 * * [simplify]: Extracting #6: cost 18 inf + 591 45.269 * * [simplify]: Extracting #7: cost 10 inf + 1854 45.271 * * [simplify]: Extracting #8: cost 2 inf + 4478 45.272 * * [simplify]: Extracting #9: cost 0 inf + 5234 45.274 * [simplify]: Simplified to (/ (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)))))))) 45.274 * [simplify]: Simplified (2 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)))))))) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 45.274 * [simplify]: Simplifying (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 45.274 * * [simplify]: iters left: 6 (12 enodes) 45.280 * * [simplify]: iters left: 5 (42 enodes) 45.291 * * [simplify]: iters left: 4 (50 enodes) 45.298 * * [simplify]: iters left: 3 (52 enodes) 45.306 * * [simplify]: Extracting #0: cost 1 inf + 0 45.306 * * [simplify]: Extracting #1: cost 4 inf + 0 45.306 * * [simplify]: Extracting #2: cost 8 inf + 0 45.306 * * [simplify]: Extracting #3: cost 15 inf + 0 45.306 * * [simplify]: Extracting #4: cost 19 inf + 2 45.306 * * [simplify]: Extracting #5: cost 21 inf + 3 45.306 * * [simplify]: Extracting #6: cost 15 inf + 492 45.306 * * [simplify]: Extracting #7: cost 6 inf + 1934 45.307 * * [simplify]: Extracting #8: cost 1 inf + 3224 45.307 * * [simplify]: Extracting #9: cost 0 inf + 3642 45.308 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 45.308 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 45.308 * * * * [progress]: [ 100 / 190 ] simplifiying candidate # 45.308 * [simplify]: Simplifying (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 45.308 * * [simplify]: iters left: 6 (12 enodes) 45.311 * * [simplify]: iters left: 5 (42 enodes) 45.320 * * [simplify]: iters left: 4 (50 enodes) 45.334 * * [simplify]: iters left: 3 (52 enodes) 45.349 * * [simplify]: Extracting #0: cost 1 inf + 0 45.349 * * [simplify]: Extracting #1: cost 4 inf + 0 45.350 * * [simplify]: Extracting #2: cost 8 inf + 0 45.350 * * [simplify]: Extracting #3: cost 15 inf + 0 45.350 * * [simplify]: Extracting #4: cost 19 inf + 2 45.350 * * [simplify]: Extracting #5: cost 21 inf + 3 45.350 * * [simplify]: Extracting #6: cost 15 inf + 492 45.351 * * [simplify]: Extracting #7: cost 6 inf + 1934 45.352 * * [simplify]: Extracting #8: cost 1 inf + 3104 45.353 * * [simplify]: Extracting #9: cost 0 inf + 3482 45.354 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 45.354 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (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)))))))) 45.354 * [simplify]: Simplifying (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 45.355 * * [simplify]: iters left: 6 (12 enodes) 45.361 * * [simplify]: iters left: 5 (42 enodes) 45.376 * * [simplify]: iters left: 4 (50 enodes) 45.390 * * [simplify]: iters left: 3 (52 enodes) 45.404 * * [simplify]: Extracting #0: cost 1 inf + 0 45.404 * * [simplify]: Extracting #1: cost 4 inf + 0 45.404 * * [simplify]: Extracting #2: cost 8 inf + 0 45.405 * * [simplify]: Extracting #3: cost 15 inf + 0 45.405 * * [simplify]: Extracting #4: cost 19 inf + 2 45.405 * * [simplify]: Extracting #5: cost 21 inf + 3 45.405 * * [simplify]: Extracting #6: cost 15 inf + 492 45.405 * * [simplify]: Extracting #7: cost 6 inf + 1934 45.406 * * [simplify]: Extracting #8: cost 1 inf + 3104 45.406 * * [simplify]: Extracting #9: cost 0 inf + 3482 45.407 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 45.407 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 45.407 * * * * [progress]: [ 101 / 190 ] simplifiying candidate # 45.407 * [simplify]: Simplifying (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 1) 45.407 * * [simplify]: iters left: 6 (8 enodes) 45.410 * * [simplify]: iters left: 5 (26 enodes) 45.415 * * [simplify]: iters left: 4 (34 enodes) 45.420 * * [simplify]: iters left: 3 (38 enodes) 45.426 * * [simplify]: Extracting #0: cost 1 inf + 0 45.426 * * [simplify]: Extracting #1: cost 4 inf + 0 45.426 * * [simplify]: Extracting #2: cost 7 inf + 1 45.426 * * [simplify]: Extracting #3: cost 10 inf + 2 45.426 * * [simplify]: Extracting #4: cost 11 inf + 3 45.426 * * [simplify]: Extracting #5: cost 9 inf + 61 45.426 * * [simplify]: Extracting #6: cost 2 inf + 826 45.426 * * [simplify]: Extracting #7: cost 0 inf + 1142 45.426 * [simplify]: Simplified to (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 45.426 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 45.427 * [simplify]: Simplifying (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 45.427 * * [simplify]: iters left: 6 (11 enodes) 45.430 * * [simplify]: iters left: 5 (39 enodes) 45.436 * * [simplify]: iters left: 4 (47 enodes) 45.442 * * [simplify]: iters left: 3 (49 enodes) 45.450 * * [simplify]: Extracting #0: cost 1 inf + 0 45.450 * * [simplify]: Extracting #1: cost 4 inf + 0 45.450 * * [simplify]: Extracting #2: cost 9 inf + 0 45.450 * * [simplify]: Extracting #3: cost 14 inf + 1 45.450 * * [simplify]: Extracting #4: cost 18 inf + 2 45.450 * * [simplify]: Extracting #5: cost 19 inf + 3 45.450 * * [simplify]: Extracting #6: cost 16 inf + 159 45.450 * * [simplify]: Extracting #7: cost 10 inf + 786 45.450 * * [simplify]: Extracting #8: cost 3 inf + 1992 45.451 * * [simplify]: Extracting #9: cost 0 inf + 2886 45.451 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 45.451 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 45.452 * * * * [progress]: [ 102 / 190 ] simplifiying candidate # 45.452 * [simplify]: Simplifying (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)) 45.452 * * [simplify]: iters left: 6 (9 enodes) 45.458 * * [simplify]: iters left: 5 (31 enodes) 45.468 * * [simplify]: iters left: 4 (39 enodes) 45.480 * * [simplify]: iters left: 3 (43 enodes) 45.493 * * [simplify]: Extracting #0: cost 1 inf + 0 45.493 * * [simplify]: Extracting #1: cost 4 inf + 0 45.493 * * [simplify]: Extracting #2: cost 7 inf + 1 45.493 * * [simplify]: Extracting #3: cost 10 inf + 2 45.493 * * [simplify]: Extracting #4: cost 11 inf + 3 45.493 * * [simplify]: Extracting #5: cost 8 inf + 159 45.494 * * [simplify]: Extracting #6: cost 4 inf + 550 45.494 * * [simplify]: Extracting #7: cost 0 inf + 1142 45.494 * [simplify]: Simplified to (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 45.495 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* (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))))))) 45.495 * [simplify]: Simplifying (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 45.495 * * [simplify]: iters left: 6 (12 enodes) 45.502 * * [simplify]: iters left: 5 (42 enodes) 45.509 * * [simplify]: iters left: 4 (50 enodes) 45.517 * * [simplify]: iters left: 3 (52 enodes) 45.524 * * [simplify]: Extracting #0: cost 1 inf + 0 45.524 * * [simplify]: Extracting #1: cost 4 inf + 0 45.524 * * [simplify]: Extracting #2: cost 9 inf + 0 45.524 * * [simplify]: Extracting #3: cost 14 inf + 1 45.524 * * [simplify]: Extracting #4: cost 18 inf + 2 45.525 * * [simplify]: Extracting #5: cost 19 inf + 3 45.525 * * [simplify]: Extracting #6: cost 16 inf + 118 45.525 * * [simplify]: Extracting #7: cost 11 inf + 688 45.525 * * [simplify]: Extracting #8: cost 5 inf + 1596 45.525 * * [simplify]: Extracting #9: cost 2 inf + 2330 45.526 * * [simplify]: Extracting #10: cost 0 inf + 2886 45.526 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) 45.527 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 45.527 * * * * [progress]: [ 103 / 190 ] simplifiying candidate # 45.527 * [simplify]: Simplifying (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)) 45.527 * * [simplify]: iters left: 6 (9 enodes) 45.531 * * [simplify]: iters left: 5 (31 enodes) 45.536 * * [simplify]: iters left: 4 (39 enodes) 45.542 * * [simplify]: iters left: 3 (43 enodes) 45.548 * * [simplify]: Extracting #0: cost 1 inf + 0 45.548 * * [simplify]: Extracting #1: cost 4 inf + 0 45.548 * * [simplify]: Extracting #2: cost 7 inf + 1 45.548 * * [simplify]: Extracting #3: cost 10 inf + 2 45.548 * * [simplify]: Extracting #4: cost 11 inf + 3 45.548 * * [simplify]: Extracting #5: cost 8 inf + 159 45.548 * * [simplify]: Extracting #6: cost 4 inf + 550 45.549 * * [simplify]: Extracting #7: cost 0 inf + 1142 45.549 * [simplify]: Simplified to (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 45.549 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* (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))))))) 45.549 * [simplify]: Simplifying (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 45.549 * * [simplify]: iters left: 6 (12 enodes) 45.553 * * [simplify]: iters left: 5 (42 enodes) 45.560 * * [simplify]: iters left: 4 (50 enodes) 45.568 * * [simplify]: iters left: 3 (52 enodes) 45.577 * * [simplify]: Extracting #0: cost 1 inf + 0 45.577 * * [simplify]: Extracting #1: cost 4 inf + 0 45.577 * * [simplify]: Extracting #2: cost 9 inf + 0 45.577 * * [simplify]: Extracting #3: cost 14 inf + 1 45.577 * * [simplify]: Extracting #4: cost 18 inf + 2 45.577 * * [simplify]: Extracting #5: cost 19 inf + 3 45.577 * * [simplify]: Extracting #6: cost 16 inf + 118 45.578 * * [simplify]: Extracting #7: cost 11 inf + 688 45.578 * * [simplify]: Extracting #8: cost 5 inf + 1596 45.578 * * [simplify]: Extracting #9: cost 2 inf + 2330 45.579 * * [simplify]: Extracting #10: cost 0 inf + 2886 45.579 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) 45.579 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 45.579 * * * * [progress]: [ 104 / 190 ] simplifiying candidate # 45.580 * [simplify]: Simplifying (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 1) 45.580 * * [simplify]: iters left: 6 (8 enodes) 45.582 * * [simplify]: iters left: 5 (26 enodes) 45.589 * * [simplify]: iters left: 4 (34 enodes) 45.599 * * [simplify]: iters left: 3 (38 enodes) 45.609 * * [simplify]: Extracting #0: cost 1 inf + 0 45.609 * * [simplify]: Extracting #1: cost 4 inf + 0 45.609 * * [simplify]: Extracting #2: cost 7 inf + 1 45.609 * * [simplify]: Extracting #3: cost 10 inf + 2 45.609 * * [simplify]: Extracting #4: cost 11 inf + 3 45.609 * * [simplify]: Extracting #5: cost 9 inf + 61 45.610 * * [simplify]: Extracting #6: cost 2 inf + 826 45.610 * * [simplify]: Extracting #7: cost 0 inf + 1142 45.610 * [simplify]: Simplified to (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 45.610 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 45.611 * [simplify]: Simplifying (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 45.611 * * [simplify]: iters left: 6 (11 enodes) 45.616 * * [simplify]: iters left: 5 (39 enodes) 45.624 * * [simplify]: iters left: 4 (47 enodes) 45.637 * * [simplify]: iters left: 3 (49 enodes) 45.645 * * [simplify]: Extracting #0: cost 1 inf + 0 45.645 * * [simplify]: Extracting #1: cost 4 inf + 0 45.645 * * [simplify]: Extracting #2: cost 9 inf + 0 45.645 * * [simplify]: Extracting #3: cost 14 inf + 1 45.645 * * [simplify]: Extracting #4: cost 18 inf + 2 45.645 * * [simplify]: Extracting #5: cost 19 inf + 3 45.645 * * [simplify]: Extracting #6: cost 16 inf + 159 45.645 * * [simplify]: Extracting #7: cost 10 inf + 786 45.646 * * [simplify]: Extracting #8: cost 3 inf + 1992 45.646 * * [simplify]: Extracting #9: cost 0 inf + 2886 45.647 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 45.647 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 45.647 * * * * [progress]: [ 105 / 190 ] simplifiying candidate # 45.647 * [simplify]: Simplifying (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 45.647 * * [simplify]: iters left: 6 (11 enodes) 45.650 * * [simplify]: iters left: 5 (39 enodes) 45.656 * * [simplify]: iters left: 4 (43 enodes) 45.662 * * [simplify]: Extracting #0: cost 1 inf + 0 45.663 * * [simplify]: Extracting #1: cost 6 inf + 0 45.663 * * [simplify]: Extracting #2: cost 9 inf + 1 45.663 * * [simplify]: Extracting #3: cost 11 inf + 1 45.663 * * [simplify]: Extracting #4: cost 13 inf + 1 45.663 * * [simplify]: Extracting #5: cost 16 inf + 1 45.663 * * [simplify]: Extracting #6: cost 17 inf + 2 45.663 * * [simplify]: Extracting #7: cost 19 inf + 2 45.663 * * [simplify]: Extracting #8: cost 17 inf + 60 45.663 * * [simplify]: Extracting #9: cost 13 inf + 451 45.663 * * [simplify]: Extracting #10: cost 9 inf + 1163 45.664 * * [simplify]: Extracting #11: cost 5 inf + 2315 45.664 * * [simplify]: Extracting #12: cost 0 inf + 4085 45.665 * [simplify]: Simplified to (/ 1 (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 45.665 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* (/ 1 (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 45.665 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 45.665 * * [simplify]: iters left: 6 (11 enodes) 45.668 * * [simplify]: iters left: 5 (42 enodes) 45.675 * * [simplify]: iters left: 4 (58 enodes) 45.686 * * [simplify]: iters left: 3 (69 enodes) 45.696 * * [simplify]: iters left: 2 (73 enodes) 45.709 * * [simplify]: iters left: 1 (75 enodes) 45.726 * * [simplify]: Extracting #0: cost 1 inf + 0 45.726 * * [simplify]: Extracting #1: cost 7 inf + 0 45.726 * * [simplify]: Extracting #2: cost 20 inf + 0 45.726 * * [simplify]: Extracting #3: cost 27 inf + 2 45.727 * * [simplify]: Extracting #4: cost 27 inf + 4 45.727 * * [simplify]: Extracting #5: cost 22 inf + 550 45.728 * * [simplify]: Extracting #6: cost 12 inf + 2490 45.729 * * [simplify]: Extracting #7: cost 2 inf + 5951 45.731 * * [simplify]: Extracting #8: cost 0 inf + 6668 45.733 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 45.733 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (/ 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 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 45.733 * * * * [progress]: [ 106 / 190 ] simplifiying candidate # 45.733 * [simplify]: Simplifying (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 45.734 * * [simplify]: iters left: 6 (10 enodes) 45.737 * * [simplify]: iters left: 5 (34 enodes) 45.742 * * [simplify]: iters left: 4 (36 enodes) 45.747 * * [simplify]: Extracting #0: cost 1 inf + 0 45.748 * * [simplify]: Extracting #1: cost 4 inf + 0 45.748 * * [simplify]: Extracting #2: cost 5 inf + 1 45.748 * * [simplify]: Extracting #3: cost 7 inf + 1 45.748 * * [simplify]: Extracting #4: cost 9 inf + 1 45.748 * * [simplify]: Extracting #5: cost 12 inf + 1 45.748 * * [simplify]: Extracting #6: cost 13 inf + 2 45.748 * * [simplify]: Extracting #7: cost 15 inf + 2 45.748 * * [simplify]: Extracting #8: cost 13 inf + 60 45.748 * * [simplify]: Extracting #9: cost 9 inf + 451 45.749 * * [simplify]: Extracting #10: cost 4 inf + 1381 45.749 * * [simplify]: Extracting #11: cost 0 inf + 2493 45.750 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 45.750 * [simplify]: Simplified (2 2 1) 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)))))))) 45.750 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 45.751 * * [simplify]: iters left: 6 (11 enodes) 45.755 * * [simplify]: iters left: 5 (42 enodes) 45.764 * * [simplify]: iters left: 4 (58 enodes) 45.772 * * [simplify]: iters left: 3 (69 enodes) 45.784 * * [simplify]: iters left: 2 (73 enodes) 45.796 * * [simplify]: iters left: 1 (75 enodes) 45.806 * * [simplify]: Extracting #0: cost 1 inf + 0 45.806 * * [simplify]: Extracting #1: cost 7 inf + 0 45.807 * * [simplify]: Extracting #2: cost 20 inf + 0 45.807 * * [simplify]: Extracting #3: cost 27 inf + 2 45.807 * * [simplify]: Extracting #4: cost 27 inf + 4 45.807 * * [simplify]: Extracting #5: cost 22 inf + 550 45.808 * * [simplify]: Extracting #6: cost 12 inf + 2410 45.809 * * [simplify]: Extracting #7: cost 2 inf + 5471 45.811 * * [simplify]: Extracting #8: cost 0 inf + 6108 45.813 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 45.813 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 45.814 * * * * [progress]: [ 107 / 190 ] simplifiying candidate # 45.814 * [simplify]: Simplifying (/ 1 1) 45.814 * * [simplify]: iters left: 2 (2 enodes) 45.815 * * [simplify]: iters left: 1 (6 enodes) 45.817 * * [simplify]: Extracting #0: cost 1 inf + 0 45.817 * * [simplify]: Extracting #1: cost 0 inf + 1 45.817 * [simplify]: Simplified to 1 45.817 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 45.818 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 45.818 * * [simplify]: iters left: 6 (10 enodes) 45.822 * * [simplify]: iters left: 5 (39 enodes) 45.831 * * [simplify]: iters left: 4 (55 enodes) 45.846 * * [simplify]: iters left: 3 (66 enodes) 45.862 * * [simplify]: iters left: 2 (78 enodes) 45.885 * * [simplify]: iters left: 1 (88 enodes) 45.909 * * [simplify]: Extracting #0: cost 1 inf + 0 45.909 * * [simplify]: Extracting #1: cost 7 inf + 0 45.909 * * [simplify]: Extracting #2: cost 21 inf + 0 45.910 * * [simplify]: Extracting #3: cost 29 inf + 3 45.910 * * [simplify]: Extracting #4: cost 26 inf + 550 45.911 * * [simplify]: Extracting #5: cost 10 inf + 3900 45.913 * * [simplify]: Extracting #6: cost 0 inf + 6402 45.916 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) 45.916 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 45.916 * * * * [progress]: [ 108 / 190 ] simplifiying candidate # 45.916 * [simplify]: Simplifying (/ 1 (sqrt 1)) 45.916 * * [simplify]: iters left: 3 (3 enodes) 45.920 * * [simplify]: iters left: 2 (11 enodes) 45.921 * * [simplify]: iters left: 1 (13 enodes) 45.923 * * [simplify]: Extracting #0: cost 1 inf + 0 45.923 * * [simplify]: Extracting #1: cost 0 inf + 1 45.923 * [simplify]: Simplified to 1 45.923 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 45.923 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 45.924 * * [simplify]: iters left: 6 (11 enodes) 45.928 * * [simplify]: iters left: 5 (42 enodes) 45.934 * * [simplify]: iters left: 4 (58 enodes) 45.943 * * [simplify]: iters left: 3 (69 enodes) 45.953 * * [simplify]: iters left: 2 (81 enodes) 45.965 * * [simplify]: iters left: 1 (91 enodes) 45.984 * * [simplify]: Extracting #0: cost 1 inf + 0 45.984 * * [simplify]: Extracting #1: cost 7 inf + 0 45.984 * * [simplify]: Extracting #2: cost 21 inf + 0 45.984 * * [simplify]: Extracting #3: cost 29 inf + 3 45.985 * * [simplify]: Extracting #4: cost 26 inf + 550 45.986 * * [simplify]: Extracting #5: cost 17 inf + 2112 45.987 * * [simplify]: Extracting #6: cost 2 inf + 5845 45.990 * * [simplify]: Extracting #7: cost 0 inf + 6402 45.993 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 45.993 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 45.993 * * * * [progress]: [ 109 / 190 ] simplifiying candidate # 45.993 * [simplify]: Simplifying (/ 1 (sqrt 1)) 45.993 * * [simplify]: iters left: 3 (3 enodes) 46.001 * * [simplify]: iters left: 2 (11 enodes) 46.004 * * [simplify]: iters left: 1 (13 enodes) 46.006 * * [simplify]: Extracting #0: cost 1 inf + 0 46.006 * * [simplify]: Extracting #1: cost 0 inf + 1 46.007 * [simplify]: Simplified to 1 46.007 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 46.007 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 46.007 * * [simplify]: iters left: 6 (11 enodes) 46.013 * * [simplify]: iters left: 5 (42 enodes) 46.025 * * [simplify]: iters left: 4 (58 enodes) 46.037 * * [simplify]: iters left: 3 (69 enodes) 46.047 * * [simplify]: iters left: 2 (81 enodes) 46.059 * * [simplify]: iters left: 1 (91 enodes) 46.073 * * [simplify]: Extracting #0: cost 1 inf + 0 46.073 * * [simplify]: Extracting #1: cost 7 inf + 0 46.073 * * [simplify]: Extracting #2: cost 21 inf + 0 46.073 * * [simplify]: Extracting #3: cost 29 inf + 3 46.073 * * [simplify]: Extracting #4: cost 26 inf + 550 46.073 * * [simplify]: Extracting #5: cost 17 inf + 2112 46.075 * * [simplify]: Extracting #6: cost 2 inf + 5845 46.076 * * [simplify]: Extracting #7: cost 0 inf + 6402 46.077 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 46.077 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 46.077 * * * * [progress]: [ 110 / 190 ] simplifiying candidate # 46.078 * [simplify]: Simplifying (/ 1 1) 46.078 * * [simplify]: iters left: 2 (2 enodes) 46.079 * * [simplify]: iters left: 1 (6 enodes) 46.080 * * [simplify]: Extracting #0: cost 1 inf + 0 46.080 * * [simplify]: Extracting #1: cost 0 inf + 1 46.080 * [simplify]: Simplified to 1 46.080 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 46.080 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 46.080 * * [simplify]: iters left: 6 (10 enodes) 46.083 * * [simplify]: iters left: 5 (39 enodes) 46.090 * * [simplify]: iters left: 4 (55 enodes) 46.100 * * [simplify]: iters left: 3 (66 enodes) 46.119 * * [simplify]: iters left: 2 (78 enodes) 46.143 * * [simplify]: iters left: 1 (88 enodes) 46.168 * * [simplify]: Extracting #0: cost 1 inf + 0 46.168 * * [simplify]: Extracting #1: cost 7 inf + 0 46.168 * * [simplify]: Extracting #2: cost 21 inf + 0 46.168 * * [simplify]: Extracting #3: cost 29 inf + 3 46.169 * * [simplify]: Extracting #4: cost 26 inf + 550 46.170 * * [simplify]: Extracting #5: cost 10 inf + 3900 46.172 * * [simplify]: Extracting #6: cost 0 inf + 6402 46.175 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) 46.175 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 46.175 * * * * [progress]: [ 111 / 190 ] simplifiying candidate # 46.176 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 46.176 * * [simplify]: iters left: 6 (14 enodes) 46.183 * * [simplify]: iters left: 5 (49 enodes) 46.199 * * [simplify]: iters left: 4 (53 enodes) 46.209 * * [simplify]: Extracting #0: cost 1 inf + 0 46.210 * * [simplify]: Extracting #1: cost 6 inf + 0 46.210 * * [simplify]: Extracting #2: cost 13 inf + 0 46.210 * * [simplify]: Extracting #3: cost 20 inf + 0 46.210 * * [simplify]: Extracting #4: cost 22 inf + 2 46.210 * * [simplify]: Extracting #5: cost 24 inf + 43 46.210 * * [simplify]: Extracting #6: cost 19 inf + 297 46.210 * * [simplify]: Extracting #7: cost 12 inf + 1343 46.211 * * [simplify]: Extracting #8: cost 3 inf + 4105 46.211 * * [simplify]: Extracting #9: cost 0 inf + 5359 46.212 * [simplify]: Simplified to (/ (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 46.212 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* (/ (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 46.213 * [simplify]: Simplifying (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 46.213 * * [simplify]: iters left: 6 (13 enodes) 46.216 * * [simplify]: iters left: 5 (48 enodes) 46.226 * * [simplify]: iters left: 4 (59 enodes) 46.239 * * [simplify]: iters left: 3 (63 enodes) 46.258 * * [simplify]: Extracting #0: cost 1 inf + 0 46.258 * * [simplify]: Extracting #1: cost 7 inf + 0 46.258 * * [simplify]: Extracting #2: cost 16 inf + 0 46.258 * * [simplify]: Extracting #3: cost 24 inf + 0 46.258 * * [simplify]: Extracting #4: cost 24 inf + 84 46.258 * * [simplify]: Extracting #5: cost 27 inf + 84 46.259 * * [simplify]: Extracting #6: cost 24 inf + 240 46.259 * * [simplify]: Extracting #7: cost 14 inf + 1779 46.260 * * [simplify]: Extracting #8: cost 4 inf + 4719 46.262 * * [simplify]: Extracting #9: cost 0 inf + 6391 46.264 * [simplify]: Simplified to (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 46.264 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))))) 46.265 * * * * [progress]: [ 112 / 190 ] simplifiying candidate # 46.265 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 46.265 * * [simplify]: iters left: 6 (13 enodes) 46.270 * * [simplify]: iters left: 5 (44 enodes) 46.277 * * [simplify]: iters left: 4 (46 enodes) 46.285 * * [simplify]: Extracting #0: cost 1 inf + 0 46.285 * * [simplify]: Extracting #1: cost 4 inf + 0 46.285 * * [simplify]: Extracting #2: cost 9 inf + 0 46.285 * * [simplify]: Extracting #3: cost 16 inf + 0 46.285 * * [simplify]: Extracting #4: cost 18 inf + 2 46.285 * * [simplify]: Extracting #5: cost 20 inf + 43 46.285 * * [simplify]: Extracting #6: cost 18 inf + 85 46.285 * * [simplify]: Extracting #7: cost 16 inf + 240 46.285 * * [simplify]: Extracting #8: cost 10 inf + 1067 46.286 * * [simplify]: Extracting #9: cost 4 inf + 2215 46.286 * * [simplify]: Extracting #10: cost 1 inf + 3109 46.287 * * [simplify]: Extracting #11: cost 0 inf + 3527 46.287 * [simplify]: Simplified to (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 46.287 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 46.288 * [simplify]: Simplifying (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 46.288 * * [simplify]: iters left: 6 (13 enodes) 46.292 * * [simplify]: iters left: 5 (48 enodes) 46.300 * * [simplify]: iters left: 4 (59 enodes) 46.310 * * [simplify]: iters left: 3 (63 enodes) 46.320 * * [simplify]: Extracting #0: cost 1 inf + 0 46.320 * * [simplify]: Extracting #1: cost 7 inf + 0 46.320 * * [simplify]: Extracting #2: cost 16 inf + 0 46.320 * * [simplify]: Extracting #3: cost 24 inf + 0 46.320 * * [simplify]: Extracting #4: cost 24 inf + 84 46.320 * * [simplify]: Extracting #5: cost 27 inf + 84 46.320 * * [simplify]: Extracting #6: cost 24 inf + 240 46.320 * * [simplify]: Extracting #7: cost 14 inf + 1779 46.321 * * [simplify]: Extracting #8: cost 4 inf + 4479 46.322 * * [simplify]: Extracting #9: cost 0 inf + 5991 46.323 * [simplify]: Simplified to (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 46.323 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))))) 46.323 * * * * [progress]: [ 113 / 190 ] simplifiying candidate # 46.323 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) 1) 46.323 * * [simplify]: iters left: 6 (9 enodes) 46.328 * * [simplify]: iters left: 5 (28 enodes) 46.333 * * [simplify]: iters left: 4 (30 enodes) 46.338 * * [simplify]: iters left: 3 (32 enodes) 46.344 * * [simplify]: Extracting #0: cost 1 inf + 0 46.344 * * [simplify]: Extracting #1: cost 5 inf + 0 46.344 * * [simplify]: Extracting #2: cost 8 inf + 1 46.344 * * [simplify]: Extracting #3: cost 9 inf + 2 46.344 * * [simplify]: Extracting #4: cost 9 inf + 84 46.344 * * [simplify]: Extracting #5: cost 8 inf + 85 46.344 * * [simplify]: Extracting #6: cost 6 inf + 240 46.344 * * [simplify]: Extracting #7: cost 2 inf + 751 46.344 * * [simplify]: Extracting #8: cost 0 inf + 1107 46.345 * [simplify]: Simplified to (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) 46.345 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 46.345 * [simplify]: Simplifying (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 46.345 * * [simplify]: iters left: 6 (12 enodes) 46.349 * * [simplify]: iters left: 5 (45 enodes) 46.360 * * [simplify]: iters left: 4 (56 enodes) 46.377 * * [simplify]: iters left: 3 (60 enodes) 46.394 * * [simplify]: Extracting #0: cost 1 inf + 0 46.394 * * [simplify]: Extracting #1: cost 7 inf + 0 46.395 * * [simplify]: Extracting #2: cost 17 inf + 0 46.395 * * [simplify]: Extracting #3: cost 23 inf + 1 46.395 * * [simplify]: Extracting #4: cost 24 inf + 43 46.395 * * [simplify]: Extracting #5: cost 25 inf + 84 46.395 * * [simplify]: Extracting #6: cost 21 inf + 297 46.396 * * [simplify]: Extracting #7: cost 13 inf + 1561 46.396 * * [simplify]: Extracting #8: cost 2 inf + 4519 46.397 * * [simplify]: Extracting #9: cost 0 inf + 5155 46.398 * [simplify]: Simplified to (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) 46.398 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) 46.398 * * * * [progress]: [ 114 / 190 ] simplifiying candidate # 46.398 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) 46.398 * * [simplify]: iters left: 6 (10 enodes) 46.402 * * [simplify]: iters left: 5 (33 enodes) 46.408 * * [simplify]: iters left: 4 (35 enodes) 46.413 * * [simplify]: iters left: 3 (37 enodes) 46.418 * * [simplify]: Extracting #0: cost 1 inf + 0 46.419 * * [simplify]: Extracting #1: cost 5 inf + 0 46.419 * * [simplify]: Extracting #2: cost 8 inf + 1 46.419 * * [simplify]: Extracting #3: cost 9 inf + 2 46.419 * * [simplify]: Extracting #4: cost 9 inf + 84 46.419 * * [simplify]: Extracting #5: cost 8 inf + 85 46.419 * * [simplify]: Extracting #6: cost 5 inf + 297 46.419 * * [simplify]: Extracting #7: cost 0 inf + 1107 46.419 * [simplify]: Simplified to (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) 46.419 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* (+ (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))))))) 46.420 * [simplify]: Simplifying (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 46.420 * * [simplify]: iters left: 6 (13 enodes) 46.424 * * [simplify]: iters left: 5 (48 enodes) 46.438 * * [simplify]: iters left: 4 (59 enodes) 46.451 * * [simplify]: iters left: 3 (63 enodes) 46.460 * * [simplify]: Extracting #0: cost 1 inf + 0 46.460 * * [simplify]: Extracting #1: cost 7 inf + 0 46.460 * * [simplify]: Extracting #2: cost 17 inf + 0 46.460 * * [simplify]: Extracting #3: cost 23 inf + 1 46.460 * * [simplify]: Extracting #4: cost 23 inf + 84 46.460 * * [simplify]: Extracting #5: cost 25 inf + 84 46.460 * * [simplify]: Extracting #6: cost 21 inf + 378 46.461 * * [simplify]: Extracting #7: cost 4 inf + 3803 46.462 * * [simplify]: Extracting #8: cost 0 inf + 5155 46.462 * [simplify]: Simplified to (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) 46.462 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) 46.463 * * * * [progress]: [ 115 / 190 ] simplifiying candidate # 46.463 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) 46.463 * * [simplify]: iters left: 6 (10 enodes) 46.466 * * [simplify]: iters left: 5 (33 enodes) 46.471 * * [simplify]: iters left: 4 (35 enodes) 46.476 * * [simplify]: iters left: 3 (37 enodes) 46.481 * * [simplify]: Extracting #0: cost 1 inf + 0 46.481 * * [simplify]: Extracting #1: cost 5 inf + 0 46.481 * * [simplify]: Extracting #2: cost 8 inf + 1 46.481 * * [simplify]: Extracting #3: cost 9 inf + 2 46.481 * * [simplify]: Extracting #4: cost 9 inf + 84 46.481 * * [simplify]: Extracting #5: cost 8 inf + 85 46.482 * * [simplify]: Extracting #6: cost 5 inf + 297 46.482 * * [simplify]: Extracting #7: cost 0 inf + 1107 46.482 * [simplify]: Simplified to (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) 46.482 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* (+ (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))))))) 46.482 * [simplify]: Simplifying (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 46.482 * * [simplify]: iters left: 6 (13 enodes) 46.486 * * [simplify]: iters left: 5 (48 enodes) 46.500 * * [simplify]: iters left: 4 (59 enodes) 46.515 * * [simplify]: iters left: 3 (63 enodes) 46.524 * * [simplify]: Extracting #0: cost 1 inf + 0 46.524 * * [simplify]: Extracting #1: cost 7 inf + 0 46.524 * * [simplify]: Extracting #2: cost 17 inf + 0 46.524 * * [simplify]: Extracting #3: cost 23 inf + 1 46.524 * * [simplify]: Extracting #4: cost 23 inf + 84 46.524 * * [simplify]: Extracting #5: cost 25 inf + 84 46.524 * * [simplify]: Extracting #6: cost 21 inf + 378 46.525 * * [simplify]: Extracting #7: cost 4 inf + 3803 46.526 * * [simplify]: Extracting #8: cost 0 inf + 5155 46.527 * [simplify]: Simplified to (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) 46.527 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) 46.527 * * * * [progress]: [ 116 / 190 ] simplifiying candidate # 46.527 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) 1) 46.527 * * [simplify]: iters left: 6 (9 enodes) 46.530 * * [simplify]: iters left: 5 (28 enodes) 46.536 * * [simplify]: iters left: 4 (30 enodes) 46.542 * * [simplify]: iters left: 3 (32 enodes) 46.551 * * [simplify]: Extracting #0: cost 1 inf + 0 46.551 * * [simplify]: Extracting #1: cost 5 inf + 0 46.551 * * [simplify]: Extracting #2: cost 8 inf + 1 46.551 * * [simplify]: Extracting #3: cost 9 inf + 2 46.552 * * [simplify]: Extracting #4: cost 9 inf + 84 46.552 * * [simplify]: Extracting #5: cost 8 inf + 85 46.552 * * [simplify]: Extracting #6: cost 6 inf + 240 46.552 * * [simplify]: Extracting #7: cost 2 inf + 751 46.553 * * [simplify]: Extracting #8: cost 0 inf + 1107 46.553 * [simplify]: Simplified to (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) 46.553 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 46.553 * [simplify]: Simplifying (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 46.554 * * [simplify]: iters left: 6 (12 enodes) 46.560 * * [simplify]: iters left: 5 (45 enodes) 46.569 * * [simplify]: iters left: 4 (56 enodes) 46.578 * * [simplify]: iters left: 3 (60 enodes) 46.586 * * [simplify]: Extracting #0: cost 1 inf + 0 46.586 * * [simplify]: Extracting #1: cost 7 inf + 0 46.586 * * [simplify]: Extracting #2: cost 17 inf + 0 46.587 * * [simplify]: Extracting #3: cost 23 inf + 1 46.587 * * [simplify]: Extracting #4: cost 24 inf + 43 46.587 * * [simplify]: Extracting #5: cost 25 inf + 84 46.587 * * [simplify]: Extracting #6: cost 21 inf + 297 46.587 * * [simplify]: Extracting #7: cost 13 inf + 1561 46.588 * * [simplify]: Extracting #8: cost 2 inf + 4519 46.588 * * [simplify]: Extracting #9: cost 0 inf + 5155 46.589 * [simplify]: Simplified to (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) 46.589 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) 46.589 * * * * [progress]: [ 117 / 190 ] simplifiying candidate # 46.590 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 46.590 * * [simplify]: iters left: 6 (15 enodes) 46.596 * * [simplify]: iters left: 5 (52 enodes) 46.611 * * [simplify]: iters left: 4 (56 enodes) 46.626 * * [simplify]: Extracting #0: cost 1 inf + 0 46.626 * * [simplify]: Extracting #1: cost 6 inf + 0 46.626 * * [simplify]: Extracting #2: cost 13 inf + 0 46.626 * * [simplify]: Extracting #3: cost 20 inf + 0 46.626 * * [simplify]: Extracting #4: cost 22 inf + 2 46.626 * * [simplify]: Extracting #5: cost 25 inf + 43 46.626 * * [simplify]: Extracting #6: cost 19 inf + 532 46.627 * * [simplify]: Extracting #7: cost 5 inf + 3383 46.628 * * [simplify]: Extracting #8: cost 0 inf + 5793 46.628 * [simplify]: Simplified to (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 46.628 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 46.629 * [simplify]: Simplifying (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 46.629 * * [simplify]: iters left: 6 (14 enodes) 46.633 * * [simplify]: iters left: 5 (51 enodes) 46.642 * * [simplify]: iters left: 4 (66 enodes) 46.654 * * [simplify]: iters left: 3 (77 enodes) 46.670 * * [simplify]: iters left: 2 (81 enodes) 46.691 * * [simplify]: iters left: 1 (83 enodes) 46.710 * * [simplify]: Extracting #0: cost 1 inf + 0 46.710 * * [simplify]: Extracting #1: cost 7 inf + 0 46.710 * * [simplify]: Extracting #2: cost 20 inf + 0 46.710 * * [simplify]: Extracting #3: cost 32 inf + 0 46.710 * * [simplify]: Extracting #4: cost 33 inf + 43 46.711 * * [simplify]: Extracting #5: cost 29 inf + 401 46.711 * * [simplify]: Extracting #6: cost 20 inf + 2019 46.712 * * [simplify]: Extracting #7: cost 11 inf + 4221 46.713 * * [simplify]: Extracting #8: cost 2 inf + 8023 46.714 * * [simplify]: Extracting #9: cost 0 inf + 8899 46.716 * [simplify]: Simplified to (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 46.716 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 46.716 * * * * [progress]: [ 118 / 190 ] simplifiying candidate # 46.716 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 46.716 * * [simplify]: iters left: 6 (14 enodes) 46.720 * * [simplify]: iters left: 5 (47 enodes) 46.727 * * [simplify]: iters left: 4 (49 enodes) 46.735 * * [simplify]: Extracting #0: cost 1 inf + 0 46.735 * * [simplify]: Extracting #1: cost 4 inf + 0 46.735 * * [simplify]: Extracting #2: cost 9 inf + 0 46.735 * * [simplify]: Extracting #3: cost 16 inf + 0 46.735 * * [simplify]: Extracting #4: cost 18 inf + 2 46.735 * * [simplify]: Extracting #5: cost 20 inf + 84 46.735 * * [simplify]: Extracting #6: cost 15 inf + 572 46.735 * * [simplify]: Extracting #7: cost 2 inf + 3165 46.736 * * [simplify]: Extracting #8: cost 0 inf + 3881 46.737 * [simplify]: Simplified to (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 46.737 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 46.737 * [simplify]: Simplifying (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 46.737 * * [simplify]: iters left: 6 (14 enodes) 46.742 * * [simplify]: iters left: 5 (51 enodes) 46.760 * * [simplify]: iters left: 4 (66 enodes) 46.774 * * [simplify]: iters left: 3 (77 enodes) 46.785 * * [simplify]: iters left: 2 (81 enodes) 46.797 * * [simplify]: iters left: 1 (83 enodes) 46.808 * * [simplify]: Extracting #0: cost 1 inf + 0 46.808 * * [simplify]: Extracting #1: cost 7 inf + 0 46.808 * * [simplify]: Extracting #2: cost 20 inf + 0 46.808 * * [simplify]: Extracting #3: cost 32 inf + 0 46.808 * * [simplify]: Extracting #4: cost 33 inf + 43 46.809 * * [simplify]: Extracting #5: cost 29 inf + 401 46.809 * * [simplify]: Extracting #6: cost 20 inf + 2019 46.809 * * [simplify]: Extracting #7: cost 11 inf + 4101 46.811 * * [simplify]: Extracting #8: cost 2 inf + 7543 46.812 * * [simplify]: Extracting #9: cost 0 inf + 8339 46.814 * [simplify]: Simplified to (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 46.814 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 46.814 * * * * [progress]: [ 119 / 190 ] simplifiying candidate # 46.814 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 1) 46.814 * * [simplify]: iters left: 6 (9 enodes) 46.817 * * [simplify]: iters left: 5 (28 enodes) 46.821 * * [simplify]: iters left: 4 (30 enodes) 46.826 * * [simplify]: iters left: 3 (32 enodes) 46.831 * * [simplify]: Extracting #0: cost 1 inf + 0 46.831 * * [simplify]: Extracting #1: cost 5 inf + 0 46.831 * * [simplify]: Extracting #2: cost 8 inf + 1 46.831 * * [simplify]: Extracting #3: cost 9 inf + 2 46.831 * * [simplify]: Extracting #4: cost 9 inf + 84 46.831 * * [simplify]: Extracting #5: cost 8 inf + 85 46.831 * * [simplify]: Extracting #6: cost 6 inf + 239 46.831 * * [simplify]: Extracting #7: cost 2 inf + 789 46.831 * * [simplify]: Extracting #8: cost 0 inf + 1185 46.831 * [simplify]: Simplified to (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 46.832 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 46.832 * [simplify]: Simplifying (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 46.832 * * [simplify]: iters left: 6 (13 enodes) 46.836 * * [simplify]: iters left: 5 (48 enodes) 46.851 * * [simplify]: iters left: 4 (63 enodes) 46.860 * * [simplify]: iters left: 3 (74 enodes) 46.871 * * [simplify]: iters left: 2 (86 enodes) 46.885 * * [simplify]: iters left: 1 (96 enodes) 46.901 * * [simplify]: Extracting #0: cost 1 inf + 0 46.901 * * [simplify]: Extracting #1: cost 7 inf + 0 46.901 * * [simplify]: Extracting #2: cost 21 inf + 0 46.901 * * [simplify]: Extracting #3: cost 36 inf + 1 46.902 * * [simplify]: Extracting #4: cost 40 inf + 84 46.902 * * [simplify]: Extracting #5: cost 32 inf + 817 46.903 * * [simplify]: Extracting #6: cost 7 inf + 6664 46.905 * * [simplify]: Extracting #7: cost 0 inf + 8865 46.906 * [simplify]: Simplified to (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) 46.907 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 46.907 * * * * [progress]: [ 120 / 190 ] simplifiying candidate # 46.907 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt 1)) 46.907 * * [simplify]: iters left: 6 (10 enodes) 46.910 * * [simplify]: iters left: 5 (33 enodes) 46.916 * * [simplify]: iters left: 4 (35 enodes) 46.921 * * [simplify]: iters left: 3 (37 enodes) 46.928 * * [simplify]: Extracting #0: cost 1 inf + 0 46.928 * * [simplify]: Extracting #1: cost 5 inf + 0 46.928 * * [simplify]: Extracting #2: cost 8 inf + 1 46.930 * * [simplify]: Extracting #3: cost 9 inf + 2 46.930 * * [simplify]: Extracting #4: cost 9 inf + 84 46.930 * * [simplify]: Extracting #5: cost 8 inf + 85 46.931 * * [simplify]: Extracting #6: cost 5 inf + 296 46.931 * * [simplify]: Extracting #7: cost 0 inf + 1185 46.931 * [simplify]: Simplified to (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 46.931 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* (+ (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))))))) 46.932 * [simplify]: Simplifying (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 46.932 * * [simplify]: iters left: 6 (14 enodes) 46.940 * * [simplify]: iters left: 5 (51 enodes) 46.956 * * [simplify]: iters left: 4 (66 enodes) 46.976 * * [simplify]: iters left: 3 (77 enodes) 46.998 * * [simplify]: iters left: 2 (89 enodes) 47.016 * * [simplify]: iters left: 1 (99 enodes) 47.030 * * [simplify]: Extracting #0: cost 1 inf + 0 47.030 * * [simplify]: Extracting #1: cost 7 inf + 0 47.031 * * [simplify]: Extracting #2: cost 21 inf + 0 47.031 * * [simplify]: Extracting #3: cost 36 inf + 1 47.031 * * [simplify]: Extracting #4: cost 41 inf + 43 47.031 * * [simplify]: Extracting #5: cost 35 inf + 483 47.031 * * [simplify]: Extracting #6: cost 24 inf + 2183 47.032 * * [simplify]: Extracting #7: cost 13 inf + 4781 47.034 * * [simplify]: Extracting #8: cost 2 inf + 8254 47.035 * * [simplify]: Extracting #9: cost 0 inf + 8865 47.037 * [simplify]: Simplified to (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 47.037 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 47.037 * * * * [progress]: [ 121 / 190 ] simplifiying candidate # 47.037 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt 1)) 47.038 * * [simplify]: iters left: 6 (10 enodes) 47.041 * * [simplify]: iters left: 5 (33 enodes) 47.047 * * [simplify]: iters left: 4 (35 enodes) 47.055 * * [simplify]: iters left: 3 (37 enodes) 47.061 * * [simplify]: Extracting #0: cost 1 inf + 0 47.061 * * [simplify]: Extracting #1: cost 5 inf + 0 47.061 * * [simplify]: Extracting #2: cost 8 inf + 1 47.061 * * [simplify]: Extracting #3: cost 9 inf + 2 47.061 * * [simplify]: Extracting #4: cost 9 inf + 84 47.061 * * [simplify]: Extracting #5: cost 8 inf + 85 47.061 * * [simplify]: Extracting #6: cost 5 inf + 296 47.062 * * [simplify]: Extracting #7: cost 0 inf + 1185 47.062 * [simplify]: Simplified to (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 47.062 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* (+ (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))))))) 47.062 * [simplify]: Simplifying (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 47.062 * * [simplify]: iters left: 6 (14 enodes) 47.067 * * [simplify]: iters left: 5 (51 enodes) 47.075 * * [simplify]: iters left: 4 (66 enodes) 47.086 * * [simplify]: iters left: 3 (77 enodes) 47.098 * * [simplify]: iters left: 2 (89 enodes) 47.118 * * [simplify]: iters left: 1 (99 enodes) 47.147 * * [simplify]: Extracting #0: cost 1 inf + 0 47.147 * * [simplify]: Extracting #1: cost 7 inf + 0 47.147 * * [simplify]: Extracting #2: cost 21 inf + 0 47.147 * * [simplify]: Extracting #3: cost 36 inf + 1 47.148 * * [simplify]: Extracting #4: cost 41 inf + 43 47.148 * * [simplify]: Extracting #5: cost 35 inf + 483 47.149 * * [simplify]: Extracting #6: cost 24 inf + 2183 47.150 * * [simplify]: Extracting #7: cost 13 inf + 4781 47.153 * * [simplify]: Extracting #8: cost 2 inf + 8254 47.156 * * [simplify]: Extracting #9: cost 0 inf + 8865 47.162 * [simplify]: Simplified to (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 47.162 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 47.163 * * * * [progress]: [ 122 / 190 ] simplifiying candidate # 47.163 * [simplify]: Simplifying (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 1) 47.163 * * [simplify]: iters left: 6 (9 enodes) 47.168 * * [simplify]: iters left: 5 (28 enodes) 47.178 * * [simplify]: iters left: 4 (30 enodes) 47.188 * * [simplify]: iters left: 3 (32 enodes) 47.198 * * [simplify]: Extracting #0: cost 1 inf + 0 47.198 * * [simplify]: Extracting #1: cost 5 inf + 0 47.198 * * [simplify]: Extracting #2: cost 8 inf + 1 47.198 * * [simplify]: Extracting #3: cost 9 inf + 2 47.198 * * [simplify]: Extracting #4: cost 9 inf + 84 47.198 * * [simplify]: Extracting #5: cost 8 inf + 85 47.198 * * [simplify]: Extracting #6: cost 6 inf + 239 47.199 * * [simplify]: Extracting #7: cost 2 inf + 789 47.199 * * [simplify]: Extracting #8: cost 0 inf + 1185 47.199 * [simplify]: Simplified to (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 47.199 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 47.200 * [simplify]: Simplifying (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 47.200 * * [simplify]: iters left: 6 (13 enodes) 47.207 * * [simplify]: iters left: 5 (48 enodes) 47.222 * * [simplify]: iters left: 4 (63 enodes) 47.241 * * [simplify]: iters left: 3 (74 enodes) 47.262 * * [simplify]: iters left: 2 (86 enodes) 47.288 * * [simplify]: iters left: 1 (96 enodes) 47.317 * * [simplify]: Extracting #0: cost 1 inf + 0 47.317 * * [simplify]: Extracting #1: cost 7 inf + 0 47.317 * * [simplify]: Extracting #2: cost 21 inf + 0 47.317 * * [simplify]: Extracting #3: cost 36 inf + 1 47.318 * * [simplify]: Extracting #4: cost 40 inf + 84 47.318 * * [simplify]: Extracting #5: cost 32 inf + 817 47.320 * * [simplify]: Extracting #6: cost 7 inf + 6664 47.324 * * [simplify]: Extracting #7: cost 0 inf + 8865 47.327 * [simplify]: Simplified to (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) 47.327 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 47.327 * * * * [progress]: [ 123 / 190 ] simplifiying candidate # 47.328 * [simplify]: Simplifying (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 47.328 * * [simplify]: iters left: 6 (11 enodes) 47.333 * * [simplify]: iters left: 5 (39 enodes) 47.345 * * [simplify]: iters left: 4 (43 enodes) 47.352 * * [simplify]: Extracting #0: cost 1 inf + 0 47.352 * * [simplify]: Extracting #1: cost 6 inf + 0 47.352 * * [simplify]: Extracting #2: cost 9 inf + 1 47.352 * * [simplify]: Extracting #3: cost 11 inf + 1 47.352 * * [simplify]: Extracting #4: cost 13 inf + 1 47.352 * * [simplify]: Extracting #5: cost 16 inf + 1 47.352 * * [simplify]: Extracting #6: cost 17 inf + 2 47.352 * * [simplify]: Extracting #7: cost 19 inf + 2 47.352 * * [simplify]: Extracting #8: cost 17 inf + 60 47.352 * * [simplify]: Extracting #9: cost 13 inf + 451 47.352 * * [simplify]: Extracting #10: cost 9 inf + 1163 47.353 * * [simplify]: Extracting #11: cost 5 inf + 2315 47.353 * * [simplify]: Extracting #12: cost 0 inf + 4085 47.354 * [simplify]: Simplified to (/ 1 (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 47.354 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* (/ 1 (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 47.354 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 47.354 * * [simplify]: iters left: 6 (11 enodes) 47.357 * * [simplify]: iters left: 5 (42 enodes) 47.365 * * [simplify]: iters left: 4 (58 enodes) 47.379 * * [simplify]: iters left: 3 (69 enodes) 47.398 * * [simplify]: iters left: 2 (73 enodes) 47.418 * * [simplify]: iters left: 1 (75 enodes) 47.437 * * [simplify]: Extracting #0: cost 1 inf + 0 47.437 * * [simplify]: Extracting #1: cost 7 inf + 0 47.437 * * [simplify]: Extracting #2: cost 20 inf + 0 47.437 * * [simplify]: Extracting #3: cost 27 inf + 2 47.437 * * [simplify]: Extracting #4: cost 27 inf + 4 47.438 * * [simplify]: Extracting #5: cost 22 inf + 550 47.438 * * [simplify]: Extracting #6: cost 12 inf + 2490 47.439 * * [simplify]: Extracting #7: cost 2 inf + 5951 47.440 * * [simplify]: Extracting #8: cost 0 inf + 6668 47.441 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 47.441 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (/ 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 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 47.441 * * * * [progress]: [ 124 / 190 ] simplifiying candidate # 47.441 * [simplify]: Simplifying (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 47.441 * * [simplify]: iters left: 6 (10 enodes) 47.446 * * [simplify]: iters left: 5 (34 enodes) 47.451 * * [simplify]: iters left: 4 (36 enodes) 47.457 * * [simplify]: Extracting #0: cost 1 inf + 0 47.457 * * [simplify]: Extracting #1: cost 4 inf + 0 47.457 * * [simplify]: Extracting #2: cost 5 inf + 1 47.457 * * [simplify]: Extracting #3: cost 7 inf + 1 47.457 * * [simplify]: Extracting #4: cost 9 inf + 1 47.457 * * [simplify]: Extracting #5: cost 12 inf + 1 47.457 * * [simplify]: Extracting #6: cost 13 inf + 2 47.457 * * [simplify]: Extracting #7: cost 15 inf + 2 47.457 * * [simplify]: Extracting #8: cost 13 inf + 60 47.457 * * [simplify]: Extracting #9: cost 9 inf + 451 47.457 * * [simplify]: Extracting #10: cost 4 inf + 1381 47.458 * * [simplify]: Extracting #11: cost 0 inf + 2493 47.458 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 47.458 * [simplify]: Simplified (2 2 1) 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)))))))) 47.458 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 47.458 * * [simplify]: iters left: 6 (11 enodes) 47.461 * * [simplify]: iters left: 5 (42 enodes) 47.469 * * [simplify]: iters left: 4 (58 enodes) 47.485 * * [simplify]: iters left: 3 (69 enodes) 47.504 * * [simplify]: iters left: 2 (73 enodes) 47.524 * * [simplify]: iters left: 1 (75 enodes) 47.543 * * [simplify]: Extracting #0: cost 1 inf + 0 47.543 * * [simplify]: Extracting #1: cost 7 inf + 0 47.543 * * [simplify]: Extracting #2: cost 20 inf + 0 47.543 * * [simplify]: Extracting #3: cost 27 inf + 2 47.544 * * [simplify]: Extracting #4: cost 27 inf + 4 47.544 * * [simplify]: Extracting #5: cost 22 inf + 550 47.545 * * [simplify]: Extracting #6: cost 12 inf + 2410 47.546 * * [simplify]: Extracting #7: cost 2 inf + 5471 47.548 * * [simplify]: Extracting #8: cost 0 inf + 6108 47.551 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 47.551 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 47.551 * * * * [progress]: [ 125 / 190 ] simplifiying candidate # 47.551 * [simplify]: Simplifying (/ 1 1) 47.551 * * [simplify]: iters left: 2 (2 enodes) 47.553 * * [simplify]: iters left: 1 (6 enodes) 47.555 * * [simplify]: Extracting #0: cost 1 inf + 0 47.555 * * [simplify]: Extracting #1: cost 0 inf + 1 47.555 * [simplify]: Simplified to 1 47.555 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 47.555 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 47.555 * * [simplify]: iters left: 6 (10 enodes) 47.560 * * [simplify]: iters left: 5 (39 enodes) 47.575 * * [simplify]: iters left: 4 (55 enodes) 47.591 * * [simplify]: iters left: 3 (66 enodes) 47.610 * * [simplify]: iters left: 2 (78 enodes) 47.634 * * [simplify]: iters left: 1 (88 enodes) 47.659 * * [simplify]: Extracting #0: cost 1 inf + 0 47.659 * * [simplify]: Extracting #1: cost 7 inf + 0 47.659 * * [simplify]: Extracting #2: cost 21 inf + 0 47.659 * * [simplify]: Extracting #3: cost 29 inf + 3 47.660 * * [simplify]: Extracting #4: cost 26 inf + 550 47.661 * * [simplify]: Extracting #5: cost 10 inf + 3900 47.663 * * [simplify]: Extracting #6: cost 0 inf + 6402 47.666 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) 47.666 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 47.666 * * * * [progress]: [ 126 / 190 ] simplifiying candidate # 47.667 * [simplify]: Simplifying (/ 1 (sqrt 1)) 47.667 * * [simplify]: iters left: 3 (3 enodes) 47.674 * * [simplify]: iters left: 2 (11 enodes) 47.677 * * [simplify]: iters left: 1 (13 enodes) 47.680 * * [simplify]: Extracting #0: cost 1 inf + 0 47.680 * * [simplify]: Extracting #1: cost 0 inf + 1 47.680 * [simplify]: Simplified to 1 47.680 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 47.681 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 47.681 * * [simplify]: iters left: 6 (11 enodes) 47.688 * * [simplify]: iters left: 5 (42 enodes) 47.702 * * [simplify]: iters left: 4 (58 enodes) 47.711 * * [simplify]: iters left: 3 (69 enodes) 47.723 * * [simplify]: iters left: 2 (81 enodes) 47.735 * * [simplify]: iters left: 1 (91 enodes) 47.749 * * [simplify]: Extracting #0: cost 1 inf + 0 47.749 * * [simplify]: Extracting #1: cost 7 inf + 0 47.749 * * [simplify]: Extracting #2: cost 21 inf + 0 47.749 * * [simplify]: Extracting #3: cost 29 inf + 3 47.749 * * [simplify]: Extracting #4: cost 26 inf + 550 47.749 * * [simplify]: Extracting #5: cost 17 inf + 2112 47.750 * * [simplify]: Extracting #6: cost 2 inf + 5845 47.752 * * [simplify]: Extracting #7: cost 0 inf + 6402 47.754 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 47.754 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 47.754 * * * * [progress]: [ 127 / 190 ] simplifiying candidate # 47.755 * [simplify]: Simplifying (/ 1 (sqrt 1)) 47.755 * * [simplify]: iters left: 3 (3 enodes) 47.758 * * [simplify]: iters left: 2 (11 enodes) 47.760 * * [simplify]: iters left: 1 (13 enodes) 47.762 * * [simplify]: Extracting #0: cost 1 inf + 0 47.762 * * [simplify]: Extracting #1: cost 0 inf + 1 47.762 * [simplify]: Simplified to 1 47.762 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 47.762 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 47.762 * * [simplify]: iters left: 6 (11 enodes) 47.766 * * [simplify]: iters left: 5 (42 enodes) 47.773 * * [simplify]: iters left: 4 (58 enodes) 47.781 * * [simplify]: iters left: 3 (69 enodes) 47.797 * * [simplify]: iters left: 2 (81 enodes) 47.811 * * [simplify]: iters left: 1 (91 enodes) 47.825 * * [simplify]: Extracting #0: cost 1 inf + 0 47.825 * * [simplify]: Extracting #1: cost 7 inf + 0 47.825 * * [simplify]: Extracting #2: cost 21 inf + 0 47.825 * * [simplify]: Extracting #3: cost 29 inf + 3 47.825 * * [simplify]: Extracting #4: cost 26 inf + 550 47.825 * * [simplify]: Extracting #5: cost 17 inf + 2112 47.827 * * [simplify]: Extracting #6: cost 2 inf + 5845 47.828 * * [simplify]: Extracting #7: cost 0 inf + 6402 47.831 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 47.831 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 47.831 * * * * [progress]: [ 128 / 190 ] simplifiying candidate # 47.831 * [simplify]: Simplifying (/ 1 1) 47.831 * * [simplify]: iters left: 2 (2 enodes) 47.833 * * [simplify]: iters left: 1 (6 enodes) 47.835 * * [simplify]: Extracting #0: cost 1 inf + 0 47.835 * * [simplify]: Extracting #1: cost 0 inf + 1 47.835 * [simplify]: Simplified to 1 47.835 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 47.836 * [simplify]: Simplifying (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 47.836 * * [simplify]: iters left: 6 (10 enodes) 47.841 * * [simplify]: iters left: 5 (39 enodes) 47.849 * * [simplify]: iters left: 4 (55 enodes) 47.857 * * [simplify]: iters left: 3 (66 enodes) 47.867 * * [simplify]: iters left: 2 (78 enodes) 47.886 * * [simplify]: iters left: 1 (88 enodes) 47.901 * * [simplify]: Extracting #0: cost 1 inf + 0 47.901 * * [simplify]: Extracting #1: cost 7 inf + 0 47.901 * * [simplify]: Extracting #2: cost 21 inf + 0 47.901 * * [simplify]: Extracting #3: cost 29 inf + 3 47.902 * * [simplify]: Extracting #4: cost 26 inf + 550 47.902 * * [simplify]: Extracting #5: cost 10 inf + 3900 47.903 * * [simplify]: Extracting #6: cost 0 inf + 6402 47.905 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) 47.905 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 47.905 * * * * [progress]: [ 129 / 190 ] simplifiying candidate # 47.905 * * * * [progress]: [ 130 / 190 ] simplifiying candidate # 47.905 * * * * [progress]: [ 131 / 190 ] simplifiying candidate # 47.905 * * * * [progress]: [ 132 / 190 ] simplifiying candidate # 47.905 * [simplify]: Simplifying (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 47.905 * * [simplify]: iters left: 6 (9 enodes) 47.908 * * [simplify]: iters left: 5 (31 enodes) 47.912 * * [simplify]: iters left: 4 (33 enodes) 47.917 * * [simplify]: Extracting #0: cost 1 inf + 0 47.917 * * [simplify]: Extracting #1: cost 3 inf + 0 47.917 * * [simplify]: Extracting #2: cost 6 inf + 0 47.917 * * [simplify]: Extracting #3: cost 7 inf + 1 47.917 * * [simplify]: Extracting #4: cost 10 inf + 1 47.917 * * [simplify]: Extracting #5: cost 11 inf + 2 47.917 * * [simplify]: Extracting #6: cost 13 inf + 2 47.917 * * [simplify]: Extracting #7: cost 10 inf + 117 47.917 * * [simplify]: Extracting #8: cost 8 inf + 353 47.918 * * [simplify]: Extracting #9: cost 4 inf + 985 47.918 * * [simplify]: Extracting #10: cost 0 inf + 1977 47.918 * [simplify]: Simplified to (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 47.918 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (/ (/ (- 1/2 (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 47.918 * * * * [progress]: [ 133 / 190 ] simplifiying candidate # 47.919 * [simplify]: Simplifying (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 47.919 * * [simplify]: iters left: 6 (9 enodes) 47.921 * * [simplify]: iters left: 5 (31 enodes) 47.927 * * [simplify]: iters left: 4 (33 enodes) 47.936 * * [simplify]: Extracting #0: cost 1 inf + 0 47.936 * * [simplify]: Extracting #1: cost 3 inf + 0 47.936 * * [simplify]: Extracting #2: cost 6 inf + 0 47.936 * * [simplify]: Extracting #3: cost 7 inf + 1 47.936 * * [simplify]: Extracting #4: cost 10 inf + 1 47.936 * * [simplify]: Extracting #5: cost 11 inf + 2 47.936 * * [simplify]: Extracting #6: cost 13 inf + 2 47.937 * * [simplify]: Extracting #7: cost 10 inf + 117 47.937 * * [simplify]: Extracting #8: cost 8 inf + 353 47.937 * * [simplify]: Extracting #9: cost 4 inf + 985 47.938 * * [simplify]: Extracting #10: cost 0 inf + 1897 47.938 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 47.938 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (/ (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 47.938 * * * * [progress]: [ 134 / 190 ] simplifiying candidate # 47.939 * [simplify]: Simplifying (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 47.939 * * [simplify]: iters left: 6 (8 enodes) 47.941 * * [simplify]: iters left: 5 (28 enodes) 47.946 * * [simplify]: iters left: 4 (30 enodes) 47.950 * * [simplify]: Extracting #0: cost 1 inf + 0 47.950 * * [simplify]: Extracting #1: cost 4 inf + 0 47.950 * * [simplify]: Extracting #2: cost 5 inf + 1 47.950 * * [simplify]: Extracting #3: cost 8 inf + 1 47.950 * * [simplify]: Extracting #4: cost 9 inf + 2 47.950 * * [simplify]: Extracting #5: cost 11 inf + 2 47.951 * * [simplify]: Extracting #6: cost 9 inf + 60 47.951 * * [simplify]: Extracting #7: cost 5 inf + 451 47.951 * * [simplify]: Extracting #8: cost 1 inf + 1163 47.951 * * [simplify]: Extracting #9: cost 0 inf + 1381 47.951 * [simplify]: Simplified to (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 47.951 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (/ (/ (- 1/2 (/ 1/2 (hypot 1 x))) 1) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 47.951 * * * * [progress]: [ 135 / 190 ] simplifiying candidate # 47.952 * [simplify]: Simplifying (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 47.952 * * [simplify]: iters left: 6 (9 enodes) 47.955 * * [simplify]: iters left: 5 (31 enodes) 47.959 * * [simplify]: iters left: 4 (33 enodes) 47.964 * * [simplify]: Extracting #0: cost 1 inf + 0 47.964 * * [simplify]: Extracting #1: cost 4 inf + 0 47.964 * * [simplify]: Extracting #2: cost 5 inf + 1 47.964 * * [simplify]: Extracting #3: cost 8 inf + 1 47.964 * * [simplify]: Extracting #4: cost 9 inf + 2 47.964 * * [simplify]: Extracting #5: cost 11 inf + 2 47.964 * * [simplify]: Extracting #6: cost 10 inf + 3 47.964 * * [simplify]: Extracting #7: cost 8 inf + 158 47.965 * * [simplify]: Extracting #8: cost 4 inf + 629 47.965 * * [simplify]: Extracting #9: cost 0 inf + 1381 47.965 * [simplify]: Simplified to (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 47.965 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (/ (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt 1)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 47.965 * * * * [progress]: [ 136 / 190 ] simplifiying candidate # 47.965 * [simplify]: Simplifying (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 47.966 * * [simplify]: iters left: 6 (9 enodes) 47.969 * * [simplify]: iters left: 5 (31 enodes) 47.978 * * [simplify]: iters left: 4 (33 enodes) 47.988 * * [simplify]: Extracting #0: cost 1 inf + 0 47.988 * * [simplify]: Extracting #1: cost 4 inf + 0 47.988 * * [simplify]: Extracting #2: cost 5 inf + 1 47.988 * * [simplify]: Extracting #3: cost 8 inf + 1 47.988 * * [simplify]: Extracting #4: cost 9 inf + 2 47.988 * * [simplify]: Extracting #5: cost 11 inf + 2 47.988 * * [simplify]: Extracting #6: cost 10 inf + 3 47.988 * * [simplify]: Extracting #7: cost 8 inf + 158 47.989 * * [simplify]: Extracting #8: cost 4 inf + 629 47.989 * * [simplify]: Extracting #9: cost 0 inf + 1381 47.989 * [simplify]: Simplified to (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 47.990 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (/ (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt 1)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 47.990 * * * * [progress]: [ 137 / 190 ] simplifiying candidate # 47.990 * [simplify]: Simplifying (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 47.990 * * [simplify]: iters left: 6 (8 enodes) 47.994 * * [simplify]: iters left: 5 (28 enodes) 48.002 * * [simplify]: iters left: 4 (30 enodes) 48.012 * * [simplify]: Extracting #0: cost 1 inf + 0 48.012 * * [simplify]: Extracting #1: cost 4 inf + 0 48.013 * * [simplify]: Extracting #2: cost 5 inf + 1 48.013 * * [simplify]: Extracting #3: cost 8 inf + 1 48.013 * * [simplify]: Extracting #4: cost 9 inf + 2 48.013 * * [simplify]: Extracting #5: cost 11 inf + 2 48.013 * * [simplify]: Extracting #6: cost 9 inf + 60 48.013 * * [simplify]: Extracting #7: cost 5 inf + 451 48.013 * * [simplify]: Extracting #8: cost 1 inf + 1163 48.014 * * [simplify]: Extracting #9: cost 0 inf + 1381 48.014 * [simplify]: Simplified to (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 48.014 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (/ (/ (- 1/2 (/ 1/2 (hypot 1 x))) 1) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 48.014 * * * * [progress]: [ 138 / 190 ] simplifiying candidate # 48.015 * [simplify]: Simplifying (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 48.015 * * [simplify]: iters left: 6 (8 enodes) 48.019 * * [simplify]: iters left: 5 (28 enodes) 48.029 * * [simplify]: iters left: 4 (36 enodes) 48.039 * * [simplify]: iters left: 3 (38 enodes) 48.051 * * [simplify]: Extracting #0: cost 1 inf + 0 48.051 * * [simplify]: Extracting #1: cost 3 inf + 0 48.051 * * [simplify]: Extracting #2: cost 5 inf + 0 48.051 * * [simplify]: Extracting #3: cost 9 inf + 0 48.051 * * [simplify]: Extracting #4: cost 12 inf + 1 48.051 * * [simplify]: Extracting #5: cost 14 inf + 2 48.051 * * [simplify]: Extracting #6: cost 11 inf + 61 48.051 * * [simplify]: Extracting #7: cost 5 inf + 648 48.052 * * [simplify]: Extracting #8: cost 0 inf + 1738 48.053 * [simplify]: Simplified to (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 48.053 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))))))) 48.053 * * * * [progress]: [ 139 / 190 ] simplifiying candidate # 48.053 * [simplify]: Simplifying (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 48.053 * * [simplify]: iters left: 6 (7 enodes) 48.057 * * [simplify]: iters left: 5 (25 enodes) 48.065 * * [simplify]: iters left: 4 (33 enodes) 48.075 * * [simplify]: iters left: 3 (35 enodes) 48.081 * * [simplify]: Extracting #0: cost 1 inf + 0 48.081 * * [simplify]: Extracting #1: cost 3 inf + 0 48.081 * * [simplify]: Extracting #2: cost 7 inf + 0 48.081 * * [simplify]: Extracting #3: cost 10 inf + 1 48.081 * * [simplify]: Extracting #4: cost 12 inf + 2 48.081 * * [simplify]: Extracting #5: cost 7 inf + 216 48.081 * * [simplify]: Extracting #6: cost 4 inf + 550 48.081 * * [simplify]: Extracting #7: cost 1 inf + 964 48.081 * * [simplify]: Extracting #8: cost 0 inf + 1142 48.082 * [simplify]: Simplified to (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 48.082 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))))))) 48.082 * * * * [progress]: [ 140 / 190 ] simplifiying candidate # 48.082 * * * * [progress]: [ 141 / 190 ] simplifiying candidate # 48.082 * [simplify]: Simplifying (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) 48.082 * * [simplify]: iters left: 6 (8 enodes) 48.085 * * [simplify]: iters left: 5 (27 enodes) 48.089 * * [simplify]: iters left: 4 (29 enodes) 48.094 * * [simplify]: Extracting #0: cost 1 inf + 0 48.094 * * [simplify]: Extracting #1: cost 4 inf + 0 48.094 * * [simplify]: Extracting #2: cost 8 inf + 0 48.094 * * [simplify]: Extracting #3: cost 9 inf + 1 48.094 * * [simplify]: Extracting #4: cost 10 inf + 83 48.094 * * [simplify]: Extracting #5: cost 8 inf + 85 48.094 * * [simplify]: Extracting #6: cost 5 inf + 297 48.094 * * [simplify]: Extracting #7: cost 1 inf + 889 48.094 * * [simplify]: Extracting #8: cost 0 inf + 1107 48.094 * [simplify]: Simplified to (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) 48.094 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))))))) 48.095 * * * * [progress]: [ 142 / 190 ] simplifiying candidate # 48.095 * [simplify]: Simplifying (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 48.095 * * [simplify]: iters left: 6 (8 enodes) 48.099 * * [simplify]: iters left: 5 (27 enodes) 48.107 * * [simplify]: iters left: 4 (29 enodes) 48.116 * * [simplify]: Extracting #0: cost 1 inf + 0 48.116 * * [simplify]: Extracting #1: cost 4 inf + 0 48.116 * * [simplify]: Extracting #2: cost 8 inf + 0 48.116 * * [simplify]: Extracting #3: cost 9 inf + 1 48.116 * * [simplify]: Extracting #4: cost 10 inf + 83 48.116 * * [simplify]: Extracting #5: cost 8 inf + 85 48.116 * * [simplify]: Extracting #6: cost 5 inf + 296 48.117 * * [simplify]: Extracting #7: cost 1 inf + 967 48.117 * * [simplify]: Extracting #8: cost 0 inf + 1185 48.118 * [simplify]: Simplified to (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 48.118 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))))) 48.118 * * * * [progress]: [ 143 / 190 ] simplifiying candidate # 48.118 * * * * [progress]: [ 144 / 190 ] simplifiying candidate # 48.118 * [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))))) 48.118 * * [simplify]: iters left: 6 (12 enodes) 48.122 * * [simplify]: iters left: 5 (44 enodes) 48.131 * * [simplify]: iters left: 4 (86 enodes) 48.152 * * [simplify]: iters left: 3 (160 enodes) 48.230 * * [simplify]: iters left: 2 (270 enodes) 48.335 * * [simplify]: iters left: 1 (393 enodes) 48.586 * * [simplify]: Extracting #0: cost 1 inf + 0 48.586 * * [simplify]: Extracting #1: cost 37 inf + 0 48.587 * * [simplify]: Extracting #2: cost 58 inf + 5 48.587 * * [simplify]: Extracting #3: cost 59 inf + 6 48.588 * * [simplify]: Extracting #4: cost 50 inf + 951 48.590 * * [simplify]: Extracting #5: cost 10 inf + 8921 48.598 * * [simplify]: Extracting #6: cost 0 inf + 11344 48.607 * [simplify]: Simplified to (+ 1 (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 48.607 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (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))))))) 48.611 * * * * [progress]: [ 145 / 190 ] simplifiying candidate # 48.611 * [simplify]: Simplifying (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 48.611 * * [simplify]: iters left: 6 (8 enodes) 48.616 * * [simplify]: iters left: 5 (29 enodes) 48.624 * * [simplify]: iters left: 4 (34 enodes) 48.634 * * [simplify]: Extracting #0: cost 1 inf + 0 48.634 * * [simplify]: Extracting #1: cost 5 inf + 0 48.634 * * [simplify]: Extracting #2: cost 7 inf + 1 48.634 * * [simplify]: Extracting #3: cost 10 inf + 1 48.634 * * [simplify]: Extracting #4: cost 11 inf + 2 48.634 * * [simplify]: Extracting #5: cost 13 inf + 2 48.634 * * [simplify]: Extracting #6: cost 11 inf + 60 48.634 * * [simplify]: Extracting #7: cost 7 inf + 451 48.635 * * [simplify]: Extracting #8: cost 0 inf + 1817 48.635 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 48.636 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (* (/ (- 1/2 (/ 1/2 (hypot 1 x))) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 48.636 * * * * [progress]: [ 146 / 190 ] simplifiying candidate # 48.636 * [simplify]: Simplifying (- (pow 1/2 3) (pow (/ 1/2 (hypot 1 x)) 3)) 48.636 * * [simplify]: iters left: 6 (9 enodes) 48.643 * * [simplify]: iters left: 5 (48 enodes) 48.663 * * [simplify]: iters left: 4 (103 enodes) 48.713 * * [simplify]: iters left: 3 (238 enodes) 48.796 * * [simplify]: iters left: 2 (454 enodes) 49.005 * * [simplify]: Extracting #0: cost 1 inf + 0 49.005 * * [simplify]: Extracting #1: cost 13 inf + 0 49.006 * * [simplify]: Extracting #2: cost 100 inf + 1 49.007 * * [simplify]: Extracting #3: cost 163 inf + 9 49.008 * * [simplify]: Extracting #4: cost 148 inf + 2055 49.015 * * [simplify]: Extracting #5: cost 58 inf + 28645 49.027 * * [simplify]: Extracting #6: cost 2 inf + 54381 49.034 * * [simplify]: Extracting #7: cost 0 inf + 55160 49.042 * [simplify]: Simplified to (+ 1/8 (/ (/ -1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x))) 49.042 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (/ (+ 1/8 (/ (/ -1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x))) (* (+ 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))))))))) 49.042 * * * * [progress]: [ 147 / 190 ] simplifiying candidate # 49.042 * [simplify]: Simplifying (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) 49.042 * * [simplify]: iters left: 6 (8 enodes) 49.045 * * [simplify]: iters left: 5 (37 enodes) 49.052 * * [simplify]: iters left: 4 (62 enodes) 49.071 * * [simplify]: iters left: 3 (105 enodes) 49.095 * * [simplify]: iters left: 2 (165 enodes) 49.129 * * [simplify]: iters left: 1 (282 enodes) 49.230 * * [simplify]: Extracting #0: cost 1 inf + 0 49.230 * * [simplify]: Extracting #1: cost 36 inf + 0 49.231 * * [simplify]: Extracting #2: cost 96 inf + 3 49.232 * * [simplify]: Extracting #3: cost 105 inf + 4 49.233 * * [simplify]: Extracting #4: cost 94 inf + 1145 49.241 * * [simplify]: Extracting #5: cost 19 inf + 14303 49.253 * * [simplify]: Extracting #6: cost 0 inf + 17769 49.265 * * [simplify]: Extracting #7: cost 0 inf + 17754 49.277 * [simplify]: Simplified to (- 1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) 49.277 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (/ (- 1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ 1/2 (/ 1/2 (hypot 1 x))))))) 49.277 * * * * [progress]: [ 148 / 190 ] simplifiying candidate #real (real->posit16 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))> 49.277 * * * * [progress]: [ 149 / 190 ] simplifiying candidate # 49.278 * * * * [progress]: [ 150 / 190 ] simplifiying candidate # 49.278 * * * * [progress]: [ 151 / 190 ] simplifiying candidate # 49.278 * * * * [progress]: [ 152 / 190 ] simplifiying candidate # 49.278 * [simplify]: Simplifying (- (log 1/2) (log (hypot 1 x))) 49.278 * * [simplify]: iters left: 4 (7 enodes) 49.282 * * [simplify]: iters left: 3 (25 enodes) 49.290 * * [simplify]: iters left: 2 (30 enodes) 49.300 * * [simplify]: Extracting #0: cost 1 inf + 0 49.300 * * [simplify]: Extracting #1: cost 5 inf + 0 49.300 * * [simplify]: Extracting #2: cost 10 inf + 0 49.300 * * [simplify]: Extracting #3: cost 12 inf + 1 49.300 * * [simplify]: Extracting #4: cost 8 inf + 145 49.300 * * [simplify]: Extracting #5: cost 5 inf + 496 49.301 * * [simplify]: Extracting #6: cost 1 inf + 1085 49.301 * * [simplify]: Extracting #7: cost 0 inf + 1323 49.301 * [simplify]: Simplified to (- (log 1/2) (log (hypot 1 x))) 49.301 * [simplify]: Simplified (2 2 2 2 1 1 1) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (exp (- (log 1/2) (log (hypot 1 x)))) 1/2)))))) 49.302 * * * * [progress]: [ 153 / 190 ] simplifiying candidate # 49.302 * * * * [progress]: [ 154 / 190 ] simplifiying candidate # 49.302 * * * * [progress]: [ 155 / 190 ] simplifiying candidate # 49.302 * [simplify]: Simplifying (/ (* (* 1/2 1/2) 1/2) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 49.302 * * [simplify]: iters left: 6 (9 enodes) 49.309 * * [simplify]: iters left: 5 (39 enodes) 49.322 * * [simplify]: iters left: 4 (84 enodes) 49.352 * * [simplify]: iters left: 3 (177 enodes) 49.404 * * [simplify]: iters left: 2 (274 enodes) 49.484 * * [simplify]: iters left: 1 (390 enodes) 49.602 * * [simplify]: Extracting #0: cost 1 inf + 0 49.602 * * [simplify]: Extracting #1: cost 54 inf + 0 49.603 * * [simplify]: Extracting #2: cost 112 inf + 3 49.604 * * [simplify]: Extracting #3: cost 98 inf + 1349 49.609 * * [simplify]: Extracting #4: cost 44 inf + 11645 49.616 * * [simplify]: Extracting #5: cost 5 inf + 28096 49.624 * * [simplify]: Extracting #6: cost 0 inf + 31060 49.633 * [simplify]: Simplified to (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))) 49.633 * [simplify]: Simplified (2 2 2 2 1 1 1) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (cbrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) 1/2)))))) 49.633 * * * * [progress]: [ 156 / 190 ] simplifiying candidate # 49.633 * * * * [progress]: [ 157 / 190 ] simplifiying candidate # 49.633 * * * * [progress]: [ 158 / 190 ] simplifiying candidate # 49.633 * * * * [progress]: [ 159 / 190 ] simplifiying candidate # 49.634 * * * * [progress]: [ 160 / 190 ] simplifiying candidate # 49.634 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 49.634 * * [simplify]: iters left: 6 (9 enodes) 49.640 * * [simplify]: iters left: 5 (35 enodes) 49.646 * * [simplify]: iters left: 4 (52 enodes) 49.655 * * [simplify]: iters left: 3 (59 enodes) 49.664 * * [simplify]: iters left: 2 (62 enodes) 49.674 * * [simplify]: Extracting #0: cost 1 inf + 0 49.674 * * [simplify]: Extracting #1: cost 11 inf + 0 49.674 * * [simplify]: Extracting #2: cost 22 inf + 0 49.674 * * [simplify]: Extracting #3: cost 24 inf + 1 49.674 * * [simplify]: Extracting #4: cost 20 inf + 141 49.675 * * [simplify]: Extracting #5: cost 4 inf + 3413 49.675 * * [simplify]: Extracting #6: cost 0 inf + 4565 49.676 * [simplify]: Simplified to (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) 49.676 * [simplify]: Simplified (2 2 2 2 1 1 1) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 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)))))) 49.676 * [simplify]: Simplifying (/ (cbrt 1/2) (cbrt (hypot 1 x))) 49.677 * * [simplify]: iters left: 4 (7 enodes) 49.681 * * [simplify]: iters left: 3 (23 enodes) 49.689 * * [simplify]: iters left: 2 (25 enodes) 49.696 * * [simplify]: Extracting #0: cost 1 inf + 0 49.696 * * [simplify]: Extracting #1: cost 4 inf + 0 49.696 * * [simplify]: Extracting #2: cost 8 inf + 0 49.696 * * [simplify]: Extracting #3: cost 10 inf + 1 49.697 * * [simplify]: Extracting #4: cost 6 inf + 165 49.697 * * [simplify]: Extracting #5: cost 2 inf + 674 49.697 * * [simplify]: Extracting #6: cost 0 inf + 1069 49.697 * [simplify]: Simplified to (/ (cbrt 1/2) (cbrt (hypot 1 x))) 49.697 * [simplify]: Simplified (2 2 2 2 1 1 2) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 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)))))) 49.698 * * * * [progress]: [ 161 / 190 ] simplifiying candidate # 49.698 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 49.698 * * [simplify]: iters left: 5 (8 enodes) 49.703 * * [simplify]: iters left: 4 (28 enodes) 49.714 * * [simplify]: iters left: 3 (34 enodes) 49.724 * * [simplify]: iters left: 2 (37 enodes) 49.735 * * [simplify]: Extracting #0: cost 1 inf + 0 49.736 * * [simplify]: Extracting #1: cost 7 inf + 0 49.736 * * [simplify]: Extracting #2: cost 14 inf + 0 49.736 * * [simplify]: Extracting #3: cost 16 inf + 1 49.736 * * [simplify]: Extracting #4: cost 12 inf + 141 49.736 * * [simplify]: Extracting #5: cost 1 inf + 1885 49.737 * * [simplify]: Extracting #6: cost 0 inf + 2103 49.737 * [simplify]: Simplified to (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) 49.737 * [simplify]: Simplified (2 2 2 2 1 1 1) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (* (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) 1/2)))))) 49.738 * [simplify]: Simplifying (/ (cbrt 1/2) (sqrt (hypot 1 x))) 49.738 * * [simplify]: iters left: 4 (7 enodes) 49.742 * * [simplify]: iters left: 3 (23 enodes) 49.747 * * [simplify]: iters left: 2 (25 enodes) 49.751 * * [simplify]: Extracting #0: cost 1 inf + 0 49.751 * * [simplify]: Extracting #1: cost 4 inf + 0 49.751 * * [simplify]: Extracting #2: cost 8 inf + 0 49.752 * * [simplify]: Extracting #3: cost 10 inf + 1 49.752 * * [simplify]: Extracting #4: cost 6 inf + 165 49.752 * * [simplify]: Extracting #5: cost 2 inf + 594 49.752 * * [simplify]: Extracting #6: cost 0 inf + 909 49.752 * [simplify]: Simplified to (/ (cbrt 1/2) (sqrt (hypot 1 x))) 49.752 * [simplify]: Simplified (2 2 2 2 1 1 2) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (* (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) 1/2)))))) 49.752 * * * * [progress]: [ 162 / 190 ] simplifiying candidate # 49.752 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 49.752 * * [simplify]: iters left: 5 (5 enodes) 49.754 * * [simplify]: iters left: 4 (17 enodes) 49.758 * * [simplify]: iters left: 3 (27 enodes) 49.763 * * [simplify]: iters left: 2 (28 enodes) 49.767 * * [simplify]: Extracting #0: cost 1 inf + 0 49.767 * * [simplify]: Extracting #1: cost 5 inf + 0 49.767 * * [simplify]: Extracting #2: cost 7 inf + 1 49.767 * * [simplify]: Extracting #3: cost 6 inf + 2 49.767 * * [simplify]: Extracting #4: cost 1 inf + 528 49.767 * * [simplify]: Extracting #5: cost 0 inf + 650 49.768 * [simplify]: Simplified to (* (cbrt 1/2) (cbrt 1/2)) 49.768 * [simplify]: Simplified (2 2 2 2 1 1 1) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (* (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x))) 1/2)))))) 49.768 * [simplify]: Simplifying (/ (cbrt 1/2) (hypot 1 x)) 49.768 * * [simplify]: iters left: 3 (6 enodes) 49.770 * * [simplify]: iters left: 2 (20 enodes) 49.775 * * [simplify]: iters left: 1 (22 enodes) 49.782 * * [simplify]: Extracting #0: cost 1 inf + 0 49.782 * * [simplify]: Extracting #1: cost 4 inf + 0 49.782 * * [simplify]: Extracting #2: cost 9 inf + 0 49.782 * * [simplify]: Extracting #3: cost 6 inf + 3 49.783 * * [simplify]: Extracting #4: cost 1 inf + 457 49.783 * * [simplify]: Extracting #5: cost 0 inf + 635 49.783 * [simplify]: Simplified to (/ (cbrt 1/2) (hypot 1 x)) 49.783 * [simplify]: Simplified (2 2 2 2 1 1 2) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (* (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x))) 1/2)))))) 49.783 * * * * [progress]: [ 163 / 190 ] simplifiying candidate # 49.783 * [simplify]: Simplifying (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 49.784 * * [simplify]: iters left: 6 (8 enodes) 49.788 * * [simplify]: iters left: 5 (28 enodes) 49.792 * * [simplify]: iters left: 4 (32 enodes) 49.798 * * [simplify]: Extracting #0: cost 1 inf + 0 49.798 * * [simplify]: Extracting #1: cost 6 inf + 0 49.798 * * [simplify]: Extracting #2: cost 12 inf + 0 49.798 * * [simplify]: Extracting #3: cost 14 inf + 1 49.798 * * [simplify]: Extracting #4: cost 11 inf + 44 49.798 * * [simplify]: Extracting #5: cost 7 inf + 336 49.798 * * [simplify]: Extracting #6: cost 0 inf + 1779 49.799 * [simplify]: Simplified to (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) 49.799 * [simplify]: Simplified (2 2 2 2 1 1 1) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) 1/2)))))) 49.799 * [simplify]: Simplifying (/ (sqrt 1/2) (cbrt (hypot 1 x))) 49.799 * * [simplify]: iters left: 4 (7 enodes) 49.801 * * [simplify]: iters left: 3 (23 enodes) 49.806 * * [simplify]: iters left: 2 (25 enodes) 49.810 * * [simplify]: Extracting #0: cost 1 inf + 0 49.810 * * [simplify]: Extracting #1: cost 4 inf + 0 49.810 * * [simplify]: Extracting #2: cost 8 inf + 0 49.810 * * [simplify]: Extracting #3: cost 10 inf + 1 49.810 * * [simplify]: Extracting #4: cost 6 inf + 85 49.810 * * [simplify]: Extracting #5: cost 2 inf + 554 49.811 * * [simplify]: Extracting #6: cost 0 inf + 909 49.811 * [simplify]: Simplified to (/ (sqrt 1/2) (cbrt (hypot 1 x))) 49.811 * [simplify]: Simplified (2 2 2 2 1 1 2) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) 1/2)))))) 49.811 * * * * [progress]: [ 164 / 190 ] simplifiying candidate # 49.811 * [simplify]: Simplifying (/ (sqrt 1/2) (sqrt (hypot 1 x))) 49.811 * * [simplify]: iters left: 4 (7 enodes) 49.813 * * [simplify]: iters left: 3 (23 enodes) 49.821 * * [simplify]: iters left: 2 (25 enodes) 49.828 * * [simplify]: Extracting #0: cost 1 inf + 0 49.829 * * [simplify]: Extracting #1: cost 4 inf + 0 49.829 * * [simplify]: Extracting #2: cost 8 inf + 0 49.829 * * [simplify]: Extracting #3: cost 10 inf + 1 49.829 * * [simplify]: Extracting #4: cost 6 inf + 85 49.829 * * [simplify]: Extracting #5: cost 2 inf + 474 49.829 * * [simplify]: Extracting #6: cost 0 inf + 749 49.830 * [simplify]: Simplified to (/ (sqrt 1/2) (sqrt (hypot 1 x))) 49.830 * [simplify]: Simplified (2 2 2 2 1 1 1) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 1/2)))))) 49.830 * [simplify]: Simplifying (/ (sqrt 1/2) (sqrt (hypot 1 x))) 49.830 * * [simplify]: iters left: 4 (7 enodes) 49.834 * * [simplify]: iters left: 3 (23 enodes) 49.842 * * [simplify]: iters left: 2 (25 enodes) 49.850 * * [simplify]: Extracting #0: cost 1 inf + 0 49.850 * * [simplify]: Extracting #1: cost 4 inf + 0 49.850 * * [simplify]: Extracting #2: cost 8 inf + 0 49.850 * * [simplify]: Extracting #3: cost 10 inf + 1 49.850 * * [simplify]: Extracting #4: cost 6 inf + 85 49.850 * * [simplify]: Extracting #5: cost 2 inf + 474 49.850 * * [simplify]: Extracting #6: cost 0 inf + 749 49.851 * [simplify]: Simplified to (/ (sqrt 1/2) (sqrt (hypot 1 x))) 49.851 * [simplify]: Simplified (2 2 2 2 1 1 2) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 1/2)))))) 49.851 * * * * [progress]: [ 165 / 190 ] simplifiying candidate # 49.851 * [simplify]: Simplifying (/ (sqrt 1/2) 1) 49.851 * * [simplify]: iters left: 3 (4 enodes) 49.854 * * [simplify]: iters left: 2 (12 enodes) 49.859 * * [simplify]: iters left: 1 (14 enodes) 49.864 * * [simplify]: Extracting #0: cost 1 inf + 0 49.864 * * [simplify]: Extracting #1: cost 4 inf + 0 49.865 * * [simplify]: Extracting #2: cost 0 inf + 84 49.865 * [simplify]: Simplified to (sqrt 1/2) 49.865 * [simplify]: Simplified (2 2 2 2 1 1 1) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (* (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x))) 1/2)))))) 49.865 * [simplify]: Simplifying (/ (sqrt 1/2) (hypot 1 x)) 49.865 * * [simplify]: iters left: 3 (6 enodes) 49.869 * * [simplify]: iters left: 2 (20 enodes) 49.876 * * [simplify]: iters left: 1 (22 enodes) 49.883 * * [simplify]: Extracting #0: cost 1 inf + 0 49.883 * * [simplify]: Extracting #1: cost 4 inf + 0 49.883 * * [simplify]: Extracting #2: cost 9 inf + 0 49.883 * * [simplify]: Extracting #3: cost 6 inf + 3 49.884 * * [simplify]: Extracting #4: cost 1 inf + 337 49.884 * * [simplify]: Extracting #5: cost 0 inf + 475 49.884 * [simplify]: Simplified to (/ (sqrt 1/2) (hypot 1 x)) 49.884 * [simplify]: Simplified (2 2 2 2 1 1 2) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (* (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x))) 1/2)))))) 49.884 * * * * [progress]: [ 166 / 190 ] simplifiying candidate # 49.885 * [simplify]: Simplifying (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 49.885 * * [simplify]: iters left: 6 (6 enodes) 49.888 * * [simplify]: iters left: 5 (22 enodes) 49.895 * * [simplify]: iters left: 4 (26 enodes) 49.902 * * [simplify]: Extracting #0: cost 1 inf + 0 49.902 * * [simplify]: Extracting #1: cost 6 inf + 0 49.903 * * [simplify]: Extracting #2: cost 9 inf + 1 49.903 * * [simplify]: Extracting #3: cost 11 inf + 1 49.903 * * [simplify]: Extracting #4: cost 8 inf + 116 49.903 * * [simplify]: Extracting #5: cost 2 inf + 1138 49.903 * * [simplify]: Extracting #6: cost 0 inf + 1532 49.904 * [simplify]: Simplified to (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 49.904 * [simplify]: Simplified (2 2 2 2 1 1 1) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (* (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x)))) 1/2)))))) 49.904 * [simplify]: Simplifying (/ 1/2 (cbrt (hypot 1 x))) 49.904 * * [simplify]: iters left: 4 (6 enodes) 49.908 * * [simplify]: iters left: 3 (20 enodes) 49.914 * * [simplify]: iters left: 2 (22 enodes) 49.921 * * [simplify]: Extracting #0: cost 1 inf + 0 49.921 * * [simplify]: Extracting #1: cost 4 inf + 0 49.921 * * [simplify]: Extracting #2: cost 5 inf + 1 49.921 * * [simplify]: Extracting #3: cost 8 inf + 1 49.921 * * [simplify]: Extracting #4: cost 6 inf + 3 49.921 * * [simplify]: Extracting #5: cost 1 inf + 569 49.922 * * [simplify]: Extracting #6: cost 0 inf + 747 49.922 * [simplify]: Simplified to (/ 1/2 (cbrt (hypot 1 x))) 49.922 * [simplify]: Simplified (2 2 2 2 1 1 2) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (* (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x)))) 1/2)))))) 49.922 * * * * [progress]: [ 167 / 190 ] simplifiying candidate # 49.922 * [simplify]: Simplifying (/ 1 (sqrt (hypot 1 x))) 49.922 * * [simplify]: iters left: 4 (5 enodes) 49.925 * * [simplify]: iters left: 3 (17 enodes) 49.930 * * [simplify]: iters left: 2 (19 enodes) 49.936 * * [simplify]: Extracting #0: cost 1 inf + 0 49.936 * * [simplify]: Extracting #1: cost 4 inf + 0 49.936 * * [simplify]: Extracting #2: cost 5 inf + 1 49.936 * * [simplify]: Extracting #3: cost 7 inf + 1 49.936 * * [simplify]: Extracting #4: cost 0 inf + 584 49.936 * [simplify]: Simplified to (/ 1 (sqrt (hypot 1 x))) 49.936 * [simplify]: Simplified (2 2 2 2 1 1 1) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (* (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x)))) 1/2)))))) 49.937 * [simplify]: Simplifying (/ 1/2 (sqrt (hypot 1 x))) 49.937 * * [simplify]: iters left: 4 (6 enodes) 49.940 * * [simplify]: iters left: 3 (20 enodes) 49.946 * * [simplify]: iters left: 2 (22 enodes) 49.953 * * [simplify]: Extracting #0: cost 1 inf + 0 49.953 * * [simplify]: Extracting #1: cost 4 inf + 0 49.953 * * [simplify]: Extracting #2: cost 5 inf + 1 49.953 * * [simplify]: Extracting #3: cost 8 inf + 1 49.953 * * [simplify]: Extracting #4: cost 6 inf + 3 49.953 * * [simplify]: Extracting #5: cost 1 inf + 449 49.954 * * [simplify]: Extracting #6: cost 0 inf + 587 49.954 * [simplify]: Simplified to (/ 1/2 (sqrt (hypot 1 x))) 49.954 * [simplify]: Simplified (2 2 2 2 1 1 2) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (* (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x)))) 1/2)))))) 49.954 * * * * [progress]: [ 168 / 190 ] simplifiying candidate # 49.954 * [simplify]: Simplifying (/ 1 1) 49.954 * * [simplify]: iters left: 2 (2 enodes) 49.956 * * [simplify]: iters left: 1 (6 enodes) 49.958 * * [simplify]: Extracting #0: cost 1 inf + 0 49.958 * * [simplify]: Extracting #1: cost 0 inf + 1 49.958 * [simplify]: Simplified to 1 49.958 * [simplify]: Simplified (2 2 2 2 1 1 1) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (* 1 (/ 1/2 (hypot 1 x))) 1/2)))))) 49.958 * [simplify]: Simplifying (/ 1/2 (hypot 1 x)) 49.958 * * [simplify]: iters left: 3 (5 enodes) 49.962 * * [simplify]: iters left: 2 (17 enodes) 49.968 * * [simplify]: iters left: 1 (19 enodes) 49.973 * * [simplify]: Extracting #0: cost 1 inf + 0 49.973 * * [simplify]: Extracting #1: cost 4 inf + 0 49.973 * * [simplify]: Extracting #2: cost 6 inf + 1 49.974 * * [simplify]: Extracting #3: cost 0 inf + 313 49.974 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 49.974 * [simplify]: Simplified (2 2 2 2 1 1 2) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (* 1 (/ 1/2 (hypot 1 x))) 1/2)))))) 49.974 * * * * [progress]: [ 169 / 190 ] simplifiying candidate # 49.974 * * * * [progress]: [ 170 / 190 ] simplifiying candidate # 49.974 * * * * [progress]: [ 171 / 190 ] simplifiying candidate # 49.974 * * * * [progress]: [ 172 / 190 ] simplifiying candidate # 49.974 * [simplify]: Simplifying (cbrt (hypot 1 x)) 49.975 * * [simplify]: iters left: 2 (4 enodes) 49.978 * * [simplify]: iters left: 1 (14 enodes) 49.983 * * [simplify]: Extracting #0: cost 1 inf + 0 49.983 * * [simplify]: Extracting #1: cost 3 inf + 0 49.983 * * [simplify]: Extracting #2: cost 6 inf + 0 49.983 * * [simplify]: Extracting #3: cost 2 inf + 116 49.983 * * [simplify]: Extracting #4: cost 1 inf + 253 49.983 * * [simplify]: Extracting #5: cost 0 inf + 390 49.984 * [simplify]: Simplified to (cbrt (hypot 1 x)) 49.984 * [simplify]: Simplified (2 2 2 2 1 1 2) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))) 1/2)))))) 49.984 * * * * [progress]: [ 173 / 190 ] simplifiying candidate # 49.984 * [simplify]: Simplifying (sqrt (hypot 1 x)) 49.984 * * [simplify]: iters left: 2 (4 enodes) 49.986 * * [simplify]: iters left: 1 (14 enodes) 49.991 * * [simplify]: Extracting #0: cost 1 inf + 0 49.991 * * [simplify]: Extracting #1: cost 3 inf + 0 49.991 * * [simplify]: Extracting #2: cost 6 inf + 0 49.991 * * [simplify]: Extracting #3: cost 2 inf + 116 49.991 * * [simplify]: Extracting #4: cost 1 inf + 213 49.991 * * [simplify]: Extracting #5: cost 0 inf + 310 49.991 * [simplify]: Simplified to (sqrt (hypot 1 x)) 49.991 * [simplify]: Simplified (2 2 2 2 1 1 2) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) 1/2)))))) 49.991 * * * * [progress]: [ 174 / 190 ] simplifiying candidate # 49.992 * [simplify]: Simplifying (hypot 1 x) 49.992 * * [simplify]: iters left: 1 (3 enodes) 49.993 * * [simplify]: Extracting #0: cost 1 inf + 0 49.993 * * [simplify]: Extracting #1: cost 4 inf + 0 49.993 * * [simplify]: Extracting #2: cost 2 inf + 2 49.994 * * [simplify]: Extracting #3: cost 0 inf + 116 49.994 * [simplify]: Simplified to (hypot 1 x) 49.994 * [simplify]: Simplified (2 2 2 2 1 1 2) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ (/ 1/2 1) (hypot 1 x)) 1/2)))))) 49.994 * * * * [progress]: [ 175 / 190 ] simplifiying candidate # 49.994 * [simplify]: Simplifying (* (cbrt 1/2) (cbrt 1/2)) 49.994 * * [simplify]: iters left: 3 (3 enodes) 49.996 * * [simplify]: iters left: 2 (9 enodes) 49.999 * * [simplify]: Extracting #0: cost 1 inf + 0 49.999 * * [simplify]: Extracting #1: cost 3 inf + 0 50.000 * * [simplify]: Extracting #2: cost 5 inf + 0 50.000 * * [simplify]: Extracting #3: cost 4 inf + 1 50.000 * * [simplify]: Extracting #4: cost 0 inf + 405 50.000 * [simplify]: Simplified to (* (cbrt 1/2) (cbrt 1/2)) 50.000 * [simplify]: Simplified (2 2 2 2 1 1 1) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (hypot 1 x) (cbrt 1/2))) 1/2)))))) 50.000 * * * * [progress]: [ 176 / 190 ] simplifiying candidate # 50.000 * [simplify]: Simplifying (sqrt 1/2) 50.000 * * [simplify]: iters left: 1 (2 enodes) 50.002 * * [simplify]: Extracting #0: cost 1 inf + 0 50.002 * * [simplify]: Extracting #1: cost 3 inf + 0 50.002 * * [simplify]: Extracting #2: cost 2 inf + 1 50.002 * * [simplify]: Extracting #3: cost 0 inf + 83 50.002 * [simplify]: Simplified to (sqrt 1/2) 50.002 * [simplify]: Simplified (2 2 2 2 1 1 1) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ (sqrt 1/2) (/ (hypot 1 x) (sqrt 1/2))) 1/2)))))) 50.002 * * * * [progress]: [ 177 / 190 ] simplifiying candidate # 50.002 * * * * [progress]: [ 178 / 190 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))) 1/2))))))> 50.003 * * * * [progress]: [ 179 / 190 ] simplifiying candidate # 50.003 * [simplify]: Simplifying (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) 50.003 * * [simplify]: iters left: 6 (15 enodes) 50.014 * * [simplify]: iters left: 5 (66 enodes) 50.038 * * [simplify]: iters left: 4 (120 enodes) 50.080 * * [simplify]: iters left: 3 (213 enodes) 50.139 * * [simplify]: iters left: 2 (426 enodes) 50.435 * * [simplify]: Extracting #0: cost 1 inf + 0 50.435 * * [simplify]: Extracting #1: cost 54 inf + 0 50.436 * * [simplify]: Extracting #2: cost 201 inf + 47 50.438 * * [simplify]: Extracting #3: cost 175 inf + 6000 50.444 * * [simplify]: Extracting #4: cost 56 inf + 25504 50.453 * * [simplify]: Extracting #5: cost 8 inf + 39520 50.463 * * [simplify]: Extracting #6: cost 0 inf + 42534 50.472 * [simplify]: Simplified to (* (* x x) (+ 1/4 (* (* x x) (- (* (* x x) 5/32) 3/16)))) 50.473 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (/ (* (* x x) (+ 1/4 (* (* x x) (- (* (* x x) 5/32) 3/16)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 50.473 * * * * [progress]: [ 180 / 190 ] simplifiying candidate # 50.473 * [simplify]: Simplifying (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) 50.473 * * [simplify]: iters left: 6 (12 enodes) 50.478 * * [simplify]: iters left: 5 (58 enodes) 50.492 * * [simplify]: iters left: 4 (109 enodes) 50.532 * * [simplify]: iters left: 3 (178 enodes) 50.590 * * [simplify]: iters left: 2 (276 enodes) 50.655 * * [simplify]: Extracting #0: cost 1 inf + 0 50.655 * * [simplify]: Extracting #1: cost 19 inf + 0 50.656 * * [simplify]: Extracting #2: cost 65 inf + 3 50.656 * * [simplify]: Extracting #3: cost 90 inf + 1686 50.658 * * [simplify]: Extracting #4: cost 66 inf + 5506 50.660 * * [simplify]: Extracting #5: cost 39 inf + 13993 50.663 * * [simplify]: Extracting #6: cost 20 inf + 20859 50.666 * * [simplify]: Extracting #7: cost 0 inf + 31508 50.669 * * [simplify]: Extracting #8: cost 0 inf + 31348 50.673 * [simplify]: Simplified to (+ (- 1/2 (/ 1/2 x)) (/ (/ 1/4 x) (* x x))) 50.673 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (/ (+ (- 1/2 (/ 1/2 x)) (/ (/ 1/4 x) (* x x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 50.673 * * * * [progress]: [ 181 / 190 ] simplifiying candidate # 50.673 * [simplify]: Simplifying (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) 50.673 * * [simplify]: iters left: 6 (12 enodes) 50.678 * * [simplify]: iters left: 5 (58 enodes) 50.691 * * [simplify]: iters left: 4 (111 enodes) 50.713 * * [simplify]: iters left: 3 (189 enodes) 50.749 * * [simplify]: iters left: 2 (327 enodes) 50.835 * * [simplify]: Extracting #0: cost 1 inf + 0 50.835 * * [simplify]: Extracting #1: cost 19 inf + 0 50.835 * * [simplify]: Extracting #2: cost 87 inf + 3 50.836 * * [simplify]: Extracting #3: cost 133 inf + 1076 50.838 * * [simplify]: Extracting #4: cost 91 inf + 7135 50.841 * * [simplify]: Extracting #5: cost 48 inf + 22124 50.845 * * [simplify]: Extracting #6: cost 6 inf + 41539 50.850 * * [simplify]: Extracting #7: cost 0 inf + 43157 50.855 * [simplify]: Simplified to (+ (+ 1/2 (/ 1/2 x)) (/ (/ -1/4 (* x x)) x)) 50.855 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (/ (+ (+ 1/2 (/ 1/2 x)) (/ (/ -1/4 (* x x)) x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 50.855 * * * * [progress]: [ 182 / 190 ] simplifiying candidate # 50.855 * [simplify]: Simplifying (- (+ (* 11/128 (pow x 4)) 2) (* 1/8 (pow x 2))) 50.855 * * [simplify]: iters left: 6 (11 enodes) 50.863 * * [simplify]: iters left: 5 (49 enodes) 50.880 * * [simplify]: iters left: 4 (81 enodes) 50.906 * * [simplify]: iters left: 3 (124 enodes) 50.951 * * [simplify]: iters left: 2 (198 enodes) 51.003 * * [simplify]: iters left: 1 (285 enodes) 51.084 * * [simplify]: Extracting #0: cost 1 inf + 0 51.084 * * [simplify]: Extracting #1: cost 32 inf + 0 51.085 * * [simplify]: Extracting #2: cost 73 inf + 89 51.088 * * [simplify]: Extracting #3: cost 34 inf + 6717 51.094 * * [simplify]: Extracting #4: cost 0 inf + 10133 51.100 * * [simplify]: Extracting #5: cost 0 inf + 9279 51.106 * [simplify]: Simplified to (fma (fma (* 11/128 x) x -1/8) (* x x) 2) 51.106 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (fma (* 11/128 x) x -1/8) (* x x) 2)))) 51.106 * * * * [progress]: [ 183 / 190 ] simplifiying candidate # 51.106 * [simplify]: Simplifying (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ (sqrt 1/2) 1)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) 51.106 * * [simplify]: iters left: 6 (19 enodes) 51.114 * * [simplify]: iters left: 5 (91 enodes) 51.134 * * [simplify]: iters left: 4 (181 enodes) 51.210 * * [simplify]: iters left: 3 (425 enodes) 51.358 * * [simplify]: Extracting #0: cost 1 inf + 0 51.359 * * [simplify]: Extracting #1: cost 26 inf + 0 51.360 * * [simplify]: Extracting #2: cost 186 inf + 4 51.364 * * [simplify]: Extracting #3: cost 246 inf + 5518 51.370 * * [simplify]: Extracting #4: cost 113 inf + 32379 51.381 * * [simplify]: Extracting #5: cost 35 inf + 59242 51.397 * * [simplify]: Extracting #6: cost 2 inf + 74969 51.418 * * [simplify]: Extracting #7: cost 0 inf + 75846 51.431 * [simplify]: Simplified to (+ (+ 1 (fma 1/4 (/ 1 (* (sqrt 1/2) x)) (/ -1/16 (* x (* (sqrt 1/2) x))))) (sqrt 1/2)) 51.431 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (+ 1 (fma 1/4 (/ 1 (* (sqrt 1/2) x)) (/ -1/16 (* x (* (sqrt 1/2) x))))) (sqrt 1/2))))) 51.431 * * * * [progress]: [ 184 / 190 ] simplifiying candidate # 51.431 * [simplify]: Simplifying (- (+ (sqrt 1/2) 1) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 51.431 * * [simplify]: iters left: 6 (19 enodes) 51.438 * * [simplify]: iters left: 5 (91 enodes) 51.456 * * [simplify]: iters left: 4 (172 enodes) 51.534 * * [simplify]: iters left: 3 (428 enodes) 51.690 * * [simplify]: Extracting #0: cost 1 inf + 0 51.690 * * [simplify]: Extracting #1: cost 37 inf + 0 51.691 * * [simplify]: Extracting #2: cost 170 inf + 5 51.693 * * [simplify]: Extracting #3: cost 253 inf + 788 51.701 * * [simplify]: Extracting #4: cost 138 inf + 22375 51.719 * * [simplify]: Extracting #5: cost 26 inf + 55509 51.733 * * [simplify]: Extracting #6: cost 1 inf + 66012 51.745 * * [simplify]: Extracting #7: cost 0 inf + 66264 51.757 * [simplify]: Simplified to (- (/ (/ -1/4 x) (sqrt 1/2)) (- (/ 1/16 (* (sqrt 1/2) (* x x))) (+ (sqrt 1/2) 1))) 51.757 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (- (/ (/ -1/4 x) (sqrt 1/2)) (- (/ 1/16 (* (sqrt 1/2) (* x x))) (+ (sqrt 1/2) 1)))))) 51.757 * * * * [progress]: [ 185 / 190 ] simplifiying candidate # 51.758 * [simplify]: Simplifying (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) 51.758 * * [simplify]: iters left: 6 (15 enodes) 51.764 * * [simplify]: iters left: 5 (66 enodes) 51.778 * * [simplify]: iters left: 4 (120 enodes) 51.805 * * [simplify]: iters left: 3 (213 enodes) 51.869 * * [simplify]: iters left: 2 (426 enodes) 52.066 * * [simplify]: Extracting #0: cost 1 inf + 0 52.066 * * [simplify]: Extracting #1: cost 54 inf + 0 52.068 * * [simplify]: Extracting #2: cost 201 inf + 47 52.071 * * [simplify]: Extracting #3: cost 177 inf + 6069 52.084 * * [simplify]: Extracting #4: cost 72 inf + 21934 52.101 * * [simplify]: Extracting #5: cost 11 inf + 38553 52.124 * * [simplify]: Extracting #6: cost 0 inf + 42535 52.137 * [simplify]: Simplified to (* (* x x) (+ 1/8 (* (* x x) (- (* (* x x) 69/1024) 11/128)))) 52.137 * [simplify]: Simplified (2 2) to (λ (x) (* 1 (* (* x x) (+ 1/8 (* (* x x) (- (* (* x x) 69/1024) 11/128)))))) 52.137 * * * * [progress]: [ 186 / 190 ] simplifiying candidate # 52.137 * [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)))))) 52.137 * * [simplify]: iters left: 6 (40 enodes) 52.152 * * [simplify]: iters left: 5 (205 enodes) 52.210 * * [simplify]: iters left: 4 (489 enodes) 52.417 * * [simplify]: Extracting #0: cost 1 inf + 0 52.417 * * [simplify]: Extracting #1: cost 59 inf + 0 52.417 * * [simplify]: Extracting #2: cost 272 inf + 1 52.420 * * [simplify]: Extracting #3: cost 394 inf + 8414 52.433 * * [simplify]: Extracting #4: cost 239 inf + 52470 52.465 * * [simplify]: Extracting #5: cost 70 inf + 122018 52.510 * * [simplify]: Extracting #6: cost 13 inf + 144982 52.551 * * [simplify]: Extracting #7: cost 0 inf + 149987 52.612 * [simplify]: Simplified to (- (+ (fma (/ (/ 1 (* x x)) (* (* (sqrt 1/2) (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2)))) 1/2)) 1/64 (* 1/16 (/ (/ (/ 1 (* x x)) (* (+ 1 (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)) (/ (/ 1/8 (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2)))) (* (sqrt 1/2) (* x x))))) 52.613 * [simplify]: Simplified (2 2) to (λ (x) (* 1 (- (+ (fma (/ (/ 1 (* x x)) (* (* (sqrt 1/2) (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2)))) 1/2)) 1/64 (* 1/16 (/ (/ (/ 1 (* x x)) (* (+ 1 (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)) (/ (/ 1/8 (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2)))) (* (sqrt 1/2) (* x x))))))) 52.613 * * * * [progress]: [ 187 / 190 ] simplifiying candidate # 52.613 * [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)))))))) 52.614 * * [simplify]: iters left: 6 (40 enodes) 52.631 * * [simplify]: iters left: 5 (207 enodes) 52.678 * * [simplify]: iters left: 4 (494 enodes) 52.867 * * [simplify]: Extracting #0: cost 1 inf + 0 52.868 * * [simplify]: Extracting #1: cost 43 inf + 0 52.869 * * [simplify]: Extracting #2: cost 243 inf + 2 52.875 * * [simplify]: Extracting #3: cost 383 inf + 7002 52.894 * * [simplify]: Extracting #4: cost 234 inf + 45755 52.931 * * [simplify]: Extracting #5: cost 72 inf + 111534 52.995 * * [simplify]: Extracting #6: cost 11 inf + 136948 53.053 * * [simplify]: Extracting #7: cost 0 inf + 140336 53.091 * * [simplify]: Extracting #8: cost 0 inf + 140147 53.130 * [simplify]: Simplified to (+ (/ 1/32 (* (+ (* 1/2 (sqrt 1/2)) 1/2) (* (fma (sqrt 1/2) x x) (fma (sqrt 1/2) x x)))) (+ (+ (/ 1/8 (* (fma (sqrt 1/2) x x) (* (fma (sqrt 1/2) x x) (sqrt 1/2)))) (+ (+ (/ 1/2 (+ 1 (sqrt 1/2))) (/ 1/2 (fma (sqrt 1/2) x x))) (/ 1/64 (* (fma (sqrt 1/2) x x) (* (fma (sqrt 1/2) x x) (* 1/2 (sqrt 1/2))))))) (/ (/ 1/8 (* (sqrt 1/2) (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2))))) x))) 53.130 * [simplify]: Simplified (2 2) to (λ (x) (* 1 (+ (/ 1/32 (* (+ (* 1/2 (sqrt 1/2)) 1/2) (* (fma (sqrt 1/2) x x) (fma (sqrt 1/2) x x)))) (+ (+ (/ 1/8 (* (fma (sqrt 1/2) x x) (* (fma (sqrt 1/2) x x) (sqrt 1/2)))) (+ (+ (/ 1/2 (+ 1 (sqrt 1/2))) (/ 1/2 (fma (sqrt 1/2) x x))) (/ 1/64 (* (fma (sqrt 1/2) x x) (* (fma (sqrt 1/2) x x) (* 1/2 (sqrt 1/2))))))) (/ (/ 1/8 (* (sqrt 1/2) (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2))))) x))))) 53.131 * * * * [progress]: [ 188 / 190 ] simplifiying candidate # 53.131 * [simplify]: Simplifying (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) 53.131 * * [simplify]: iters left: 6 (12 enodes) 53.136 * * [simplify]: iters left: 5 (52 enodes) 53.146 * * [simplify]: iters left: 4 (84 enodes) 53.159 * * [simplify]: iters left: 3 (128 enodes) 53.197 * * [simplify]: iters left: 2 (204 enodes) 53.231 * * [simplify]: iters left: 1 (296 enodes) 53.308 * * [simplify]: Extracting #0: cost 1 inf + 0 53.309 * * [simplify]: Extracting #1: cost 32 inf + 0 53.309 * * [simplify]: Extracting #2: cost 67 inf + 87 53.310 * * [simplify]: Extracting #3: cost 35 inf + 4190 53.314 * * [simplify]: Extracting #4: cost 1 inf + 8485 53.317 * * [simplify]: Extracting #5: cost 0 inf + 8602 53.320 * [simplify]: Simplified to (fma (* x x) -1/4 (fma 3/16 (* (* x x) (* x x)) 1/2)) 53.320 * [simplify]: Simplified (2 2 2 2 1 1) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (fma (* x x) -1/4 (fma 3/16 (* (* x x) (* x x)) 1/2)) 1/2)))))) 53.320 * * * * [progress]: [ 189 / 190 ] simplifiying candidate # 53.321 * [simplify]: Simplifying (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) 53.321 * * [simplify]: iters left: 6 (17 enodes) 53.328 * * [simplify]: iters left: 5 (80 enodes) 53.346 * * [simplify]: iters left: 4 (151 enodes) 53.380 * * [simplify]: iters left: 3 (266 enodes) 53.455 * * [simplify]: iters left: 2 (471 enodes) 53.608 * * [simplify]: Extracting #0: cost 1 inf + 0 53.608 * * [simplify]: Extracting #1: cost 23 inf + 0 53.609 * * [simplify]: Extracting #2: cost 124 inf + 4 53.610 * * [simplify]: Extracting #3: cost 221 inf + 175 53.615 * * [simplify]: Extracting #4: cost 164 inf + 13710 53.626 * * [simplify]: Extracting #5: cost 49 inf + 58324 53.642 * * [simplify]: Extracting #6: cost 2 inf + 76934 53.651 * * [simplify]: Extracting #7: cost 0 inf + 77250 53.659 * [simplify]: Simplified to (- (+ (/ 3/16 (pow x 5)) (/ 1/2 x)) (/ (/ 1/4 x) (* x x))) 53.659 * [simplify]: Simplified (2 2 2 2 1 1) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (- (+ (/ 3/16 (pow x 5)) (/ 1/2 x)) (/ (/ 1/4 x) (* x x))) 1/2)))))) 53.659 * * * * [progress]: [ 190 / 190 ] simplifiying candidate # 53.659 * [simplify]: Simplifying (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) 53.659 * * [simplify]: iters left: 6 (17 enodes) 53.669 * * [simplify]: iters left: 5 (81 enodes) 53.697 * * [simplify]: iters left: 4 (143 enodes) 53.726 * * [simplify]: iters left: 3 (261 enodes) 53.794 * * [simplify]: iters left: 2 (465 enodes) 53.975 * * [simplify]: Extracting #0: cost 1 inf + 0 53.976 * * [simplify]: Extracting #1: cost 31 inf + 0 53.976 * * [simplify]: Extracting #2: cost 116 inf + 5 53.978 * * [simplify]: Extracting #3: cost 199 inf + 131 53.981 * * [simplify]: Extracting #4: cost 168 inf + 6510 53.988 * * [simplify]: Extracting #5: cost 88 inf + 33092 54.001 * * [simplify]: Extracting #6: cost 4 inf + 71221 54.015 * * [simplify]: Extracting #7: cost 0 inf + 73488 54.031 * [simplify]: Simplified to (- (/ -1/2 x) (- (/ 3/16 (pow x 5)) (/ (/ 1/4 x) (* x x)))) 54.031 * [simplify]: Simplified (2 2 2 2 1 1) to (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (- (/ -1/2 x) (- (/ 3/16 (pow x 5)) (/ (/ 1/4 x) (* x x)))) 1/2)))))) 54.031 * * * [progress]: adding candidates to table 55.877 * * [progress]: iteration 4 / 4 55.877 * * * [progress]: picking best candidate 55.895 * * * * [pick]: Picked # 55.895 * * * [progress]: localizing error 55.929 * * * [progress]: generating rewritten candidates 55.929 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 56.323 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 56.372 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2) 56.399 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 56.606 * * * [progress]: generating series expansions 56.606 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 56.606 * [backup-simplify]: Simplify (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) into (- (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 1/2 (/ 1 (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) (hypot 1 x))))) 56.606 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 1/2 (/ 1 (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) (hypot 1 x))))) in (x) around 0 56.606 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 1/2 (/ 1 (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) (hypot 1 x))))) in x 56.607 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 56.607 * [taylor]: Taking taylor expansion of 1/2 in x 56.607 * [backup-simplify]: Simplify 1/2 into 1/2 56.607 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 56.607 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 56.607 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 56.607 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 56.607 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 56.607 * [taylor]: Taking taylor expansion of 1/2 in x 56.607 * [backup-simplify]: Simplify 1/2 into 1/2 56.607 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 56.607 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 56.607 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 56.607 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 56.607 * [taylor]: Taking taylor expansion of (* 1 1) in x 56.607 * [taylor]: Taking taylor expansion of 1 in x 56.607 * [backup-simplify]: Simplify 1 into 1 56.607 * [taylor]: Taking taylor expansion of 1 in x 56.607 * [backup-simplify]: Simplify 1 into 1 56.607 * [taylor]: Taking taylor expansion of (* x x) in x 56.607 * [taylor]: Taking taylor expansion of x in x 56.607 * [backup-simplify]: Simplify 0 into 0 56.607 * [backup-simplify]: Simplify 1 into 1 56.607 * [taylor]: Taking taylor expansion of x in x 56.607 * [backup-simplify]: Simplify 0 into 0 56.607 * [backup-simplify]: Simplify 1 into 1 56.608 * [backup-simplify]: Simplify (* 1 1) into 1 56.608 * [backup-simplify]: Simplify (* 0 0) into 0 56.609 * [backup-simplify]: Simplify (+ 1 0) into 1 56.609 * [backup-simplify]: Simplify (sqrt 1) into 1 56.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 56.611 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 56.611 * [backup-simplify]: Simplify (+ 0 0) into 0 56.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 56.612 * [backup-simplify]: Simplify (/ 1 1) into 1 56.612 * [taylor]: Taking taylor expansion of 1/2 in x 56.612 * [backup-simplify]: Simplify 1/2 into 1/2 56.613 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 56.613 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 56.614 * [backup-simplify]: Simplify (sqrt 1) into 1 56.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 56.615 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 56.616 * [backup-simplify]: Simplify (+ 0 0) into 0 56.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 56.616 * [taylor]: Taking taylor expansion of 1 in x 56.616 * [backup-simplify]: Simplify 1 into 1 56.617 * [backup-simplify]: Simplify (+ 1 1) into 2 56.617 * [backup-simplify]: Simplify (/ 1 2) into 1/2 56.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) (hypot 1 x)))) in x 56.617 * [taylor]: Taking taylor expansion of 1/2 in x 56.617 * [backup-simplify]: Simplify 1/2 into 1/2 56.617 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) (hypot 1 x))) in x 56.617 * [taylor]: Taking taylor expansion of (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) (hypot 1 x)) in x 56.617 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 56.617 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 56.617 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 56.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 56.618 * [taylor]: Taking taylor expansion of 1/2 in x 56.618 * [backup-simplify]: Simplify 1/2 into 1/2 56.618 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 56.618 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 56.618 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 56.618 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 56.618 * [taylor]: Taking taylor expansion of (* 1 1) in x 56.618 * [taylor]: Taking taylor expansion of 1 in x 56.618 * [backup-simplify]: Simplify 1 into 1 56.618 * [taylor]: Taking taylor expansion of 1 in x 56.618 * [backup-simplify]: Simplify 1 into 1 56.618 * [taylor]: Taking taylor expansion of (* x x) in x 56.618 * [taylor]: Taking taylor expansion of x in x 56.618 * [backup-simplify]: Simplify 0 into 0 56.618 * [backup-simplify]: Simplify 1 into 1 56.618 * [taylor]: Taking taylor expansion of x in x 56.618 * [backup-simplify]: Simplify 0 into 0 56.618 * [backup-simplify]: Simplify 1 into 1 56.618 * [backup-simplify]: Simplify (* 1 1) into 1 56.619 * [backup-simplify]: Simplify (* 0 0) into 0 56.619 * [backup-simplify]: Simplify (+ 1 0) into 1 56.619 * [backup-simplify]: Simplify (sqrt 1) into 1 56.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 56.621 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 56.621 * [backup-simplify]: Simplify (+ 0 0) into 0 56.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 56.622 * [backup-simplify]: Simplify (/ 1 1) into 1 56.622 * [taylor]: Taking taylor expansion of 1/2 in x 56.622 * [backup-simplify]: Simplify 1/2 into 1/2 56.623 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 56.623 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 56.623 * [backup-simplify]: Simplify (sqrt 1) into 1 56.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 56.625 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 56.625 * [backup-simplify]: Simplify (+ 0 0) into 0 56.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 56.626 * [taylor]: Taking taylor expansion of 1 in x 56.626 * [backup-simplify]: Simplify 1 into 1 56.626 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 56.626 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 56.626 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 56.626 * [taylor]: Taking taylor expansion of (* 1 1) in x 56.626 * [taylor]: Taking taylor expansion of 1 in x 56.626 * [backup-simplify]: Simplify 1 into 1 56.626 * [taylor]: Taking taylor expansion of 1 in x 56.626 * [backup-simplify]: Simplify 1 into 1 56.626 * [taylor]: Taking taylor expansion of (* x x) in x 56.626 * [taylor]: Taking taylor expansion of x in x 56.626 * [backup-simplify]: Simplify 0 into 0 56.626 * [backup-simplify]: Simplify 1 into 1 56.627 * [taylor]: Taking taylor expansion of x in x 56.627 * [backup-simplify]: Simplify 0 into 0 56.627 * [backup-simplify]: Simplify 1 into 1 56.627 * [backup-simplify]: Simplify (* 1 1) into 1 56.627 * [backup-simplify]: Simplify (* 0 0) into 0 56.628 * [backup-simplify]: Simplify (+ 1 0) into 1 56.628 * [backup-simplify]: Simplify (sqrt 1) into 1 56.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 56.630 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 56.630 * [backup-simplify]: Simplify (+ 0 0) into 0 56.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 56.631 * [backup-simplify]: Simplify (+ 1 1) into 2 56.631 * [backup-simplify]: Simplify (* 2 1) into 2 56.632 * [backup-simplify]: Simplify (/ 1 2) into 1/2 56.632 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 1/2 (/ 1 (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) (hypot 1 x))))) in x 56.632 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 56.632 * [taylor]: Taking taylor expansion of 1/2 in x 56.632 * [backup-simplify]: Simplify 1/2 into 1/2 56.632 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 56.632 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 56.632 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 56.632 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 56.632 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 56.632 * [taylor]: Taking taylor expansion of 1/2 in x 56.632 * [backup-simplify]: Simplify 1/2 into 1/2 56.632 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 56.632 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 56.632 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 56.632 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 56.632 * [taylor]: Taking taylor expansion of (* 1 1) in x 56.632 * [taylor]: Taking taylor expansion of 1 in x 56.632 * [backup-simplify]: Simplify 1 into 1 56.632 * [taylor]: Taking taylor expansion of 1 in x 56.632 * [backup-simplify]: Simplify 1 into 1 56.632 * [taylor]: Taking taylor expansion of (* x x) in x 56.632 * [taylor]: Taking taylor expansion of x in x 56.633 * [backup-simplify]: Simplify 0 into 0 56.633 * [backup-simplify]: Simplify 1 into 1 56.633 * [taylor]: Taking taylor expansion of x in x 56.633 * [backup-simplify]: Simplify 0 into 0 56.633 * [backup-simplify]: Simplify 1 into 1 56.633 * [backup-simplify]: Simplify (* 1 1) into 1 56.633 * [backup-simplify]: Simplify (* 0 0) into 0 56.634 * [backup-simplify]: Simplify (+ 1 0) into 1 56.634 * [backup-simplify]: Simplify (sqrt 1) into 1 56.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 56.635 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 56.636 * [backup-simplify]: Simplify (+ 0 0) into 0 56.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 56.637 * [backup-simplify]: Simplify (/ 1 1) into 1 56.637 * [taylor]: Taking taylor expansion of 1/2 in x 56.637 * [backup-simplify]: Simplify 1/2 into 1/2 56.637 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 56.638 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 56.638 * [backup-simplify]: Simplify (sqrt 1) into 1 56.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 56.640 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 56.640 * [backup-simplify]: Simplify (+ 0 0) into 0 56.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 56.641 * [taylor]: Taking taylor expansion of 1 in x 56.641 * [backup-simplify]: Simplify 1 into 1 56.641 * [backup-simplify]: Simplify (+ 1 1) into 2 56.642 * [backup-simplify]: Simplify (/ 1 2) into 1/2 56.642 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) (hypot 1 x)))) in x 56.642 * [taylor]: Taking taylor expansion of 1/2 in x 56.642 * [backup-simplify]: Simplify 1/2 into 1/2 56.642 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) (hypot 1 x))) in x 56.642 * [taylor]: Taking taylor expansion of (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) (hypot 1 x)) in x 56.642 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 56.642 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 56.642 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 56.642 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 56.642 * [taylor]: Taking taylor expansion of 1/2 in x 56.642 * [backup-simplify]: Simplify 1/2 into 1/2 56.642 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 56.642 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 56.642 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 56.642 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 56.642 * [taylor]: Taking taylor expansion of (* 1 1) in x 56.642 * [taylor]: Taking taylor expansion of 1 in x 56.642 * [backup-simplify]: Simplify 1 into 1 56.642 * [taylor]: Taking taylor expansion of 1 in x 56.642 * [backup-simplify]: Simplify 1 into 1 56.642 * [taylor]: Taking taylor expansion of (* x x) in x 56.642 * [taylor]: Taking taylor expansion of x in x 56.642 * [backup-simplify]: Simplify 0 into 0 56.642 * [backup-simplify]: Simplify 1 into 1 56.642 * [taylor]: Taking taylor expansion of x in x 56.642 * [backup-simplify]: Simplify 0 into 0 56.642 * [backup-simplify]: Simplify 1 into 1 56.643 * [backup-simplify]: Simplify (* 1 1) into 1 56.643 * [backup-simplify]: Simplify (* 0 0) into 0 56.644 * [backup-simplify]: Simplify (+ 1 0) into 1 56.644 * [backup-simplify]: Simplify (sqrt 1) into 1 56.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 56.645 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 56.646 * [backup-simplify]: Simplify (+ 0 0) into 0 56.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 56.647 * [backup-simplify]: Simplify (/ 1 1) into 1 56.647 * [taylor]: Taking taylor expansion of 1/2 in x 56.647 * [backup-simplify]: Simplify 1/2 into 1/2 56.647 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 56.648 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 56.648 * [backup-simplify]: Simplify (sqrt 1) into 1 56.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 56.649 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 56.650 * [backup-simplify]: Simplify (+ 0 0) into 0 56.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 56.651 * [taylor]: Taking taylor expansion of 1 in x 56.651 * [backup-simplify]: Simplify 1 into 1 56.651 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 56.651 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 56.651 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 56.651 * [taylor]: Taking taylor expansion of (* 1 1) in x 56.651 * [taylor]: Taking taylor expansion of 1 in x 56.651 * [backup-simplify]: Simplify 1 into 1 56.651 * [taylor]: Taking taylor expansion of 1 in x 56.651 * [backup-simplify]: Simplify 1 into 1 56.651 * [taylor]: Taking taylor expansion of (* x x) in x 56.651 * [taylor]: Taking taylor expansion of x in x 56.651 * [backup-simplify]: Simplify 0 into 0 56.651 * [backup-simplify]: Simplify 1 into 1 56.651 * [taylor]: Taking taylor expansion of x in x 56.651 * [backup-simplify]: Simplify 0 into 0 56.651 * [backup-simplify]: Simplify 1 into 1 56.651 * [backup-simplify]: Simplify (* 1 1) into 1 56.670 * [backup-simplify]: Simplify (* 0 0) into 0 56.671 * [backup-simplify]: Simplify (+ 1 0) into 1 56.671 * [backup-simplify]: Simplify (sqrt 1) into 1 56.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 56.672 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 56.672 * [backup-simplify]: Simplify (+ 0 0) into 0 56.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 56.673 * [backup-simplify]: Simplify (+ 1 1) into 2 56.673 * [backup-simplify]: Simplify (* 2 1) into 2 56.674 * [backup-simplify]: Simplify (/ 1 2) into 1/2 56.674 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 56.674 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 56.674 * [backup-simplify]: Simplify (- 1/4) into -1/4 56.675 * [backup-simplify]: Simplify (+ 1/4 -1/4) into 0 56.675 * [backup-simplify]: Simplify 0 into 0 56.675 * [backup-simplify]: Simplify (+ 0 0) into 0 56.676 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 56.676 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1/2)) into 0 56.676 * [backup-simplify]: Simplify (+ 0 0) into 0 56.677 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 56.677 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 56.677 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1/2)) into 0 56.678 * [backup-simplify]: Simplify (- 0) into 0 56.678 * [backup-simplify]: Simplify (+ 0 0) into 0 56.678 * [backup-simplify]: Simplify 0 into 0 56.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 56.679 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 56.679 * [backup-simplify]: Simplify (+ 0 1) into 1 56.680 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 56.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 56.681 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 56.681 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 56.682 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 56.682 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 56.683 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ -1/8 2)) (* 0 (/ 0 2)))) into 1/32 56.683 * [backup-simplify]: Simplify (+ (* 1/2 1/32) (+ (* 0 0) (* 0 1/2))) into 1/64 56.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 56.684 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 56.685 * [backup-simplify]: Simplify (+ 0 1) into 1 56.685 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 56.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 56.686 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 56.686 * [backup-simplify]: Simplify (+ 0 1) into 1 56.687 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 56.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 56.689 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 56.689 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 56.690 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 56.691 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 56.692 * [backup-simplify]: Simplify (+ (* 2 1/2) (+ (* 0 0) (* -1/8 1))) into 7/8 56.694 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 7/8 2)) (* 0 (/ 0 2)))) into -7/32 56.694 * [backup-simplify]: Simplify (+ (* 1/2 -7/32) (+ (* 0 0) (* 0 1/2))) into -7/64 56.695 * [backup-simplify]: Simplify (- -7/64) into 7/64 56.695 * [backup-simplify]: Simplify (+ 1/64 7/64) into 1/8 56.695 * [backup-simplify]: Simplify 1/8 into 1/8 56.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 56.697 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 56.698 * [backup-simplify]: Simplify (+ 0 0) into 0 56.699 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 56.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 56.702 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 56.702 * [backup-simplify]: Simplify (+ 0 0) into 0 56.704 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 56.704 * [backup-simplify]: Simplify (+ 0 0) into 0 56.705 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/8 2)) (* 1/32 (/ 0 2)))) into 0 56.707 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/32) (+ (* 0 0) (* 0 1/2)))) into 0 56.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 56.709 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 56.709 * [backup-simplify]: Simplify (+ 0 0) into 0 56.710 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 56.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 56.712 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 56.713 * [backup-simplify]: Simplify (+ 0 0) into 0 56.714 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 56.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 56.717 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 56.718 * [backup-simplify]: Simplify (+ 0 0) into 0 56.719 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 56.720 * [backup-simplify]: Simplify (+ 0 0) into 0 56.721 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1/2) (+ (* -1/8 0) (* 0 1)))) into 0 56.723 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 7/8 2)) (* -7/32 (/ 0 2)))) into 0 56.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -7/32) (+ (* 0 0) (* 0 1/2)))) into 0 56.725 * [backup-simplify]: Simplify (- 0) into 0 56.725 * [backup-simplify]: Simplify (+ 0 0) into 0 56.725 * [backup-simplify]: Simplify 0 into 0 56.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 56.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 56.728 * [backup-simplify]: Simplify (+ 0 0) into 0 56.729 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 56.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 56.732 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 56.733 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 56.734 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 56.735 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 56.737 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 11/128 2)) (* 0 (/ 0 2)) (* 1/32 (/ -1/8 2)) (* 0 (/ 0 2)))) into -5/256 56.739 * [backup-simplify]: Simplify (+ (* 1/2 -5/256) (+ (* 0 0) (+ (* 0 1/32) (+ (* 0 0) (* 0 1/2))))) into -5/512 56.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 56.741 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 56.741 * [backup-simplify]: Simplify (+ 0 0) into 0 56.743 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 56.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 56.744 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 56.745 * [backup-simplify]: Simplify (+ 0 0) into 0 56.745 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 56.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 56.747 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 56.747 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 56.748 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 56.749 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 56.750 * [backup-simplify]: Simplify (+ (* 2 -1/8) (+ (* 0 0) (+ (* -1/8 1/2) (+ (* 0 0) (* 11/128 1))))) into -29/128 56.751 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ -29/128 2)) (* 0 (/ 0 2)) (* -7/32 (/ 7/8 2)) (* 0 (/ 0 2)))) into 39/256 56.751 * [backup-simplify]: Simplify (+ (* 1/2 39/256) (+ (* 0 0) (+ (* 0 -7/32) (+ (* 0 0) (* 0 1/2))))) into 39/512 56.752 * [backup-simplify]: Simplify (- 39/512) into -39/512 56.752 * [backup-simplify]: Simplify (+ -5/512 -39/512) into -11/128 56.752 * [backup-simplify]: Simplify -11/128 into -11/128 56.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 56.754 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 56.754 * [backup-simplify]: Simplify (+ 0 0) into 0 56.755 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 56.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 56.757 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 56.757 * [backup-simplify]: Simplify (+ 0 0) into 0 56.758 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 11/128)) (* 2 (* -1/8 0)))) (* 2 1)) into 0 56.759 * [backup-simplify]: Simplify (+ 0 0) into 0 56.760 * [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 56.761 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -5/256) (+ (* 0 0) (+ (* 0 1/32) (+ (* 0 0) (* 0 1/2)))))) into 0 56.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 56.762 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 56.763 * [backup-simplify]: Simplify (+ 0 0) into 0 56.764 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 56.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 56.765 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 56.765 * [backup-simplify]: Simplify (+ 0 0) into 0 56.766 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 56.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 56.769 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 56.769 * [backup-simplify]: Simplify (+ 0 0) into 0 56.770 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 11/128)) (* 2 (* -1/8 0)))) (* 2 1)) into 0 56.770 * [backup-simplify]: Simplify (+ 0 0) into 0 56.771 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 -1/8) (+ (* -1/8 0) (+ (* 0 1/2) (+ (* 11/128 0) (* 0 1)))))) into 0 56.773 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ -29/128 2)) (* -7/32 (/ 0 2)) (* 0 (/ 7/8 2)) (* 39/256 (/ 0 2)))) into 0 56.774 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 39/256) (+ (* 0 0) (+ (* 0 -7/32) (+ (* 0 0) (* 0 1/2)))))) into 0 56.774 * [backup-simplify]: Simplify (- 0) into 0 56.774 * [backup-simplify]: Simplify (+ 0 0) into 0 56.774 * [backup-simplify]: Simplify 0 into 0 56.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 56.783 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 56.783 * [backup-simplify]: Simplify (+ 0 0) into 0 56.785 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 56.787 * [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 56.790 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 56.791 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 56.793 * [backup-simplify]: Simplify (/ (- -5/32 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/8 11/128)))) (* 2 1)) into -69/1024 56.793 * [backup-simplify]: Simplify (+ -69/1024 0) into -69/1024 56.796 * [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 56.799 * [backup-simplify]: Simplify (+ (* 1/2 117/8192) (+ (* 0 0) (+ (* 0 -5/256) (+ (* 0 0) (+ (* 0 1/32) (+ (* 0 0) (* 0 1/2))))))) into 117/16384 56.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 56.802 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 56.802 * [backup-simplify]: Simplify (+ 0 0) into 0 56.804 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 56.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 56.807 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 56.808 * [backup-simplify]: Simplify (+ 0 0) into 0 56.810 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 56.812 * [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 56.815 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 56.815 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 56.817 * [backup-simplify]: Simplify (/ (- -5/32 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/8 11/128)))) (* 2 1)) into -69/1024 56.817 * [backup-simplify]: Simplify (+ -69/1024 0) into -69/1024 56.818 * [backup-simplify]: Simplify (+ (* 2 1/16) (+ (* 0 0) (+ (* -1/8 -1/8) (+ (* 0 0) (+ (* 11/128 1/2) (+ (* 0 0) (* -69/1024 1))))))) into 119/1024 56.820 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 119/1024 2)) (* 0 (/ 0 2)) (* -7/32 (/ -29/128 2)) (* 0 (/ 0 2)) (* 39/256 (/ 7/8 2)) (* 0 (/ 0 2)))) into -987/8192 56.821 * [backup-simplify]: Simplify (+ (* 1/2 -987/8192) (+ (* 0 0) (+ (* 0 39/256) (+ (* 0 0) (+ (* 0 -7/32) (+ (* 0 0) (* 0 1/2))))))) into -987/16384 56.822 * [backup-simplify]: Simplify (- -987/16384) into 987/16384 56.822 * [backup-simplify]: Simplify (+ 117/16384 987/16384) into 69/1024 56.822 * [backup-simplify]: Simplify 69/1024 into 69/1024 56.822 * [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))) 56.823 * [backup-simplify]: Simplify (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)))) (/ (/ 1/2 (hypot 1 (/ 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))))) into (- (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 1/2 (/ 1 (* (hypot 1 (/ 1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) 56.823 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 1/2 (/ 1 (* (hypot 1 (/ 1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) in (x) around 0 56.823 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 1/2 (/ 1 (* (hypot 1 (/ 1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) in x 56.823 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 56.823 * [taylor]: Taking taylor expansion of 1/2 in x 56.823 * [backup-simplify]: Simplify 1/2 into 1/2 56.823 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 56.823 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 56.823 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 56.823 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 56.823 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 56.823 * [taylor]: Taking taylor expansion of 1/2 in x 56.823 * [backup-simplify]: Simplify 1/2 into 1/2 56.823 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 56.823 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 56.823 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 56.823 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 56.823 * [taylor]: Taking taylor expansion of (* 1 1) in x 56.823 * [taylor]: Taking taylor expansion of 1 in x 56.823 * [backup-simplify]: Simplify 1 into 1 56.823 * [taylor]: Taking taylor expansion of 1 in x 56.823 * [backup-simplify]: Simplify 1 into 1 56.823 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 56.823 * [taylor]: Taking taylor expansion of (/ 1 x) in x 56.823 * [taylor]: Taking taylor expansion of x in x 56.823 * [backup-simplify]: Simplify 0 into 0 56.823 * [backup-simplify]: Simplify 1 into 1 56.823 * [backup-simplify]: Simplify (/ 1 1) into 1 56.823 * [taylor]: Taking taylor expansion of (/ 1 x) in x 56.823 * [taylor]: Taking taylor expansion of x in x 56.823 * [backup-simplify]: Simplify 0 into 0 56.823 * [backup-simplify]: Simplify 1 into 1 56.824 * [backup-simplify]: Simplify (/ 1 1) into 1 56.824 * [backup-simplify]: Simplify (* 1 1) into 1 56.824 * [backup-simplify]: Simplify (+ 0 1) into 1 56.824 * [backup-simplify]: Simplify (sqrt 1) into 1 56.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 56.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 56.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 56.826 * [backup-simplify]: Simplify (+ 0 0) into 0 56.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 56.826 * [backup-simplify]: Simplify (/ 1 1) into 1 56.826 * [taylor]: Taking taylor expansion of 1/2 in x 56.826 * [backup-simplify]: Simplify 1/2 into 1/2 56.827 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 56.827 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 56.827 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 56.828 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 56.828 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 56.828 * [taylor]: Taking taylor expansion of 1 in x 56.828 * [backup-simplify]: Simplify 1 into 1 56.829 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 56.830 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1/2) 1)) into (/ 1 (+ (sqrt 1/2) 1)) 56.830 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (hypot 1 (/ 1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) in x 56.830 * [taylor]: Taking taylor expansion of 1/2 in x 56.830 * [backup-simplify]: Simplify 1/2 into 1/2 56.830 * [taylor]: Taking taylor expansion of (/ 1 (* (hypot 1 (/ 1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 56.830 * [taylor]: Taking taylor expansion of (* (hypot 1 (/ 1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 56.830 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 56.830 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 56.830 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 56.830 * [taylor]: Taking taylor expansion of (* 1 1) in x 56.830 * [taylor]: Taking taylor expansion of 1 in x 56.830 * [backup-simplify]: Simplify 1 into 1 56.830 * [taylor]: Taking taylor expansion of 1 in x 56.830 * [backup-simplify]: Simplify 1 into 1 56.830 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 56.830 * [taylor]: Taking taylor expansion of (/ 1 x) in x 56.830 * [taylor]: Taking taylor expansion of x in x 56.830 * [backup-simplify]: Simplify 0 into 0 56.830 * [backup-simplify]: Simplify 1 into 1 56.830 * [backup-simplify]: Simplify (/ 1 1) into 1 56.830 * [taylor]: Taking taylor expansion of (/ 1 x) in x 56.830 * [taylor]: Taking taylor expansion of x in x 56.830 * [backup-simplify]: Simplify 0 into 0 56.830 * [backup-simplify]: Simplify 1 into 1 56.831 * [backup-simplify]: Simplify (/ 1 1) into 1 56.831 * [backup-simplify]: Simplify (* 1 1) into 1 56.831 * [backup-simplify]: Simplify (+ 0 1) into 1 56.831 * [backup-simplify]: Simplify (sqrt 1) into 1 56.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 56.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 56.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 56.833 * [backup-simplify]: Simplify (+ 0 0) into 0 56.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 56.833 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 56.833 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 56.833 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 56.833 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 56.833 * [taylor]: Taking taylor expansion of 1/2 in x 56.833 * [backup-simplify]: Simplify 1/2 into 1/2 56.833 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 56.833 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 56.834 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 56.834 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 56.834 * [taylor]: Taking taylor expansion of (* 1 1) in x 56.834 * [taylor]: Taking taylor expansion of 1 in x 56.834 * [backup-simplify]: Simplify 1 into 1 56.834 * [taylor]: Taking taylor expansion of 1 in x 56.834 * [backup-simplify]: Simplify 1 into 1 56.834 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 56.834 * [taylor]: Taking taylor expansion of (/ 1 x) in x 56.834 * [taylor]: Taking taylor expansion of x in x 56.834 * [backup-simplify]: Simplify 0 into 0 56.834 * [backup-simplify]: Simplify 1 into 1 56.834 * [backup-simplify]: Simplify (/ 1 1) into 1 56.834 * [taylor]: Taking taylor expansion of (/ 1 x) in x 56.834 * [taylor]: Taking taylor expansion of x in x 56.834 * [backup-simplify]: Simplify 0 into 0 56.834 * [backup-simplify]: Simplify 1 into 1 56.834 * [backup-simplify]: Simplify (/ 1 1) into 1 56.834 * [backup-simplify]: Simplify (* 1 1) into 1 56.835 * [backup-simplify]: Simplify (+ 0 1) into 1 56.835 * [backup-simplify]: Simplify (sqrt 1) into 1 56.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 56.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 56.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 56.836 * [backup-simplify]: Simplify (+ 0 0) into 0 56.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 56.837 * [backup-simplify]: Simplify (/ 1 1) into 1 56.837 * [taylor]: Taking taylor expansion of 1/2 in x 56.837 * [backup-simplify]: Simplify 1/2 into 1/2 56.837 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 56.838 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 56.838 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 56.838 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 56.839 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 56.839 * [taylor]: Taking taylor expansion of 1 in x 56.839 * [backup-simplify]: Simplify 1 into 1 56.840 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 56.841 * [backup-simplify]: Simplify (* 1 (+ (sqrt 1/2) 1)) into (+ (sqrt 1/2) 1) 56.841 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1/2) 1)) into (/ 1 (+ (sqrt 1/2) 1)) 56.842 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 1/2 (/ 1 (* (hypot 1 (/ 1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) in x 56.842 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 56.842 * [taylor]: Taking taylor expansion of 1/2 in x 56.842 * [backup-simplify]: Simplify 1/2 into 1/2 56.842 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 56.842 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 56.842 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 56.842 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 56.842 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 56.842 * [taylor]: Taking taylor expansion of 1/2 in x 56.842 * [backup-simplify]: Simplify 1/2 into 1/2 56.842 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 56.842 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 56.842 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 56.842 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 56.842 * [taylor]: Taking taylor expansion of (* 1 1) in x 56.842 * [taylor]: Taking taylor expansion of 1 in x 56.842 * [backup-simplify]: Simplify 1 into 1 56.842 * [taylor]: Taking taylor expansion of 1 in x 56.842 * [backup-simplify]: Simplify 1 into 1 56.842 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 56.842 * [taylor]: Taking taylor expansion of (/ 1 x) in x 56.842 * [taylor]: Taking taylor expansion of x in x 56.842 * [backup-simplify]: Simplify 0 into 0 56.842 * [backup-simplify]: Simplify 1 into 1 56.842 * [backup-simplify]: Simplify (/ 1 1) into 1 56.842 * [taylor]: Taking taylor expansion of (/ 1 x) in x 56.842 * [taylor]: Taking taylor expansion of x in x 56.842 * [backup-simplify]: Simplify 0 into 0 56.842 * [backup-simplify]: Simplify 1 into 1 56.842 * [backup-simplify]: Simplify (/ 1 1) into 1 56.843 * [backup-simplify]: Simplify (* 1 1) into 1 56.843 * [backup-simplify]: Simplify (+ 0 1) into 1 56.843 * [backup-simplify]: Simplify (sqrt 1) into 1 56.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 56.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 56.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 56.845 * [backup-simplify]: Simplify (+ 0 0) into 0 56.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 56.845 * [backup-simplify]: Simplify (/ 1 1) into 1 56.845 * [taylor]: Taking taylor expansion of 1/2 in x 56.845 * [backup-simplify]: Simplify 1/2 into 1/2 56.846 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 56.846 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 56.846 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 56.846 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 56.847 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 56.847 * [taylor]: Taking taylor expansion of 1 in x 56.847 * [backup-simplify]: Simplify 1 into 1 56.848 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 56.850 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1/2) 1)) into (/ 1 (+ (sqrt 1/2) 1)) 56.850 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (hypot 1 (/ 1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) in x 56.850 * [taylor]: Taking taylor expansion of 1/2 in x 56.850 * [backup-simplify]: Simplify 1/2 into 1/2 56.850 * [taylor]: Taking taylor expansion of (/ 1 (* (hypot 1 (/ 1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 56.850 * [taylor]: Taking taylor expansion of (* (hypot 1 (/ 1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 56.850 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 56.850 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 56.850 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 56.850 * [taylor]: Taking taylor expansion of (* 1 1) in x 56.850 * [taylor]: Taking taylor expansion of 1 in x 56.850 * [backup-simplify]: Simplify 1 into 1 56.850 * [taylor]: Taking taylor expansion of 1 in x 56.850 * [backup-simplify]: Simplify 1 into 1 56.851 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 56.851 * [taylor]: Taking taylor expansion of (/ 1 x) in x 56.851 * [taylor]: Taking taylor expansion of x in x 56.851 * [backup-simplify]: Simplify 0 into 0 56.851 * [backup-simplify]: Simplify 1 into 1 56.851 * [backup-simplify]: Simplify (/ 1 1) into 1 56.851 * [taylor]: Taking taylor expansion of (/ 1 x) in x 56.851 * [taylor]: Taking taylor expansion of x in x 56.851 * [backup-simplify]: Simplify 0 into 0 56.851 * [backup-simplify]: Simplify 1 into 1 56.852 * [backup-simplify]: Simplify (/ 1 1) into 1 56.852 * [backup-simplify]: Simplify (* 1 1) into 1 56.853 * [backup-simplify]: Simplify (+ 0 1) into 1 56.853 * [backup-simplify]: Simplify (sqrt 1) into 1 56.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 56.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 56.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 56.856 * [backup-simplify]: Simplify (+ 0 0) into 0 56.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 56.857 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 56.857 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 56.857 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 56.857 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 56.857 * [taylor]: Taking taylor expansion of 1/2 in x 56.857 * [backup-simplify]: Simplify 1/2 into 1/2 56.857 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 56.857 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 56.857 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 56.857 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 56.857 * [taylor]: Taking taylor expansion of (* 1 1) in x 56.857 * [taylor]: Taking taylor expansion of 1 in x 56.857 * [backup-simplify]: Simplify 1 into 1 56.857 * [taylor]: Taking taylor expansion of 1 in x 56.857 * [backup-simplify]: Simplify 1 into 1 56.857 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 56.857 * [taylor]: Taking taylor expansion of (/ 1 x) in x 56.858 * [taylor]: Taking taylor expansion of x in x 56.858 * [backup-simplify]: Simplify 0 into 0 56.858 * [backup-simplify]: Simplify 1 into 1 56.858 * [backup-simplify]: Simplify (/ 1 1) into 1 56.858 * [taylor]: Taking taylor expansion of (/ 1 x) in x 56.858 * [taylor]: Taking taylor expansion of x in x 56.858 * [backup-simplify]: Simplify 0 into 0 56.858 * [backup-simplify]: Simplify 1 into 1 56.858 * [backup-simplify]: Simplify (/ 1 1) into 1 56.859 * [backup-simplify]: Simplify (* 1 1) into 1 56.859 * [backup-simplify]: Simplify (+ 0 1) into 1 56.860 * [backup-simplify]: Simplify (sqrt 1) into 1 56.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 56.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 56.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 56.862 * [backup-simplify]: Simplify (+ 0 0) into 0 56.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 56.863 * [backup-simplify]: Simplify (/ 1 1) into 1 56.863 * [taylor]: Taking taylor expansion of 1/2 in x 56.863 * [backup-simplify]: Simplify 1/2 into 1/2 56.864 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 56.864 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 56.865 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 56.865 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 56.867 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 56.867 * [taylor]: Taking taylor expansion of 1 in x 56.867 * [backup-simplify]: Simplify 1 into 1 56.868 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 56.869 * [backup-simplify]: Simplify (* 1 (+ (sqrt 1/2) 1)) into (+ (sqrt 1/2) 1) 56.871 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1/2) 1)) into (/ 1 (+ (sqrt 1/2) 1)) 56.874 * [backup-simplify]: Simplify (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) into (/ 1/2 (+ (sqrt 1/2) 1)) 56.876 * [backup-simplify]: Simplify (+ (/ 1/2 (+ (sqrt 1/2) 1)) 0) into (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) 56.879 * [backup-simplify]: Simplify (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) into (/ 1/2 (+ (sqrt 1/2) 1)) 56.880 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 56.890 * [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))))) 56.901 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) (* 0 (/ 1 (+ (sqrt 1/2) 1)))) into (- (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) 56.903 * [backup-simplify]: Simplify (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) into (/ 1/2 (+ (sqrt 1/2) 1)) 56.912 * [backup-simplify]: Simplify (- (/ 1/2 (+ (sqrt 1/2) 1))) into (- (* 1/2 (/ 1 (+ (sqrt 1/2) 1)))) 56.922 * [backup-simplify]: Simplify (+ (- (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (- (* 1/2 (/ 1 (+ (sqrt 1/2) 1))))) into (- (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (* 1/2 (/ 1 (+ (sqrt 1/2) 1))))) 56.929 * [backup-simplify]: Simplify (- (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (* 1/2 (/ 1 (+ (sqrt 1/2) 1))))) into (- (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (* 1/2 (/ 1 (+ (sqrt 1/2) 1))))) 56.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 56.930 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 56.930 * [backup-simplify]: Simplify (+ 0 0) into 0 56.933 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 56.935 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 56.961 * [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))))) 56.985 * [backup-simplify]: Simplify (+ (* 1/2 (+ (* 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)))))) (+ (* 0 (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) (* 0 (/ 1 (+ (sqrt 1/2) 1))))) into (+ (* 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))))) 56.986 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 56.989 * [backup-simplify]: Simplify (+ (* 1 (* 1/4 (/ 1 (sqrt 1/2)))) (* 0 (+ (sqrt 1/2) 1))) into (* 1/4 (/ 1 (sqrt 1/2))) 56.994 * [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))))) 57.001 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) (* 0 (/ 1 (+ (sqrt 1/2) 1)))) into (- (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) 57.005 * [backup-simplify]: Simplify (- (- (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) into (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) 57.033 * [backup-simplify]: Simplify (+ (+ (* 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))))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) 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)))))) 57.059 * [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)))))) 57.098 * [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)) (+ (* (- (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (* 1/2 (/ 1 (+ (sqrt 1/2) 1))))) (/ 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)))))) 57.098 * [backup-simplify]: Simplify (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)))) (/ (/ 1/2 (hypot 1 (/ 1 (- x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))))) into (- (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 1/2 (/ 1 (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) 57.098 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 1/2 (/ 1 (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) in (x) around 0 57.098 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 1/2 (/ 1 (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) in x 57.098 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 57.098 * [taylor]: Taking taylor expansion of 1/2 in x 57.098 * [backup-simplify]: Simplify 1/2 into 1/2 57.098 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 57.098 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 57.099 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 57.099 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 57.099 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 57.099 * [taylor]: Taking taylor expansion of 1/2 in x 57.099 * [backup-simplify]: Simplify 1/2 into 1/2 57.099 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 57.099 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 57.099 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 57.099 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 57.099 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.099 * [taylor]: Taking taylor expansion of 1 in x 57.099 * [backup-simplify]: Simplify 1 into 1 57.099 * [taylor]: Taking taylor expansion of 1 in x 57.099 * [backup-simplify]: Simplify 1 into 1 57.099 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 57.099 * [taylor]: Taking taylor expansion of (/ -1 x) in x 57.099 * [taylor]: Taking taylor expansion of -1 in x 57.099 * [backup-simplify]: Simplify -1 into -1 57.099 * [taylor]: Taking taylor expansion of x in x 57.099 * [backup-simplify]: Simplify 0 into 0 57.099 * [backup-simplify]: Simplify 1 into 1 57.100 * [backup-simplify]: Simplify (/ -1 1) into -1 57.100 * [taylor]: Taking taylor expansion of (/ -1 x) in x 57.100 * [taylor]: Taking taylor expansion of -1 in x 57.100 * [backup-simplify]: Simplify -1 into -1 57.100 * [taylor]: Taking taylor expansion of x in x 57.100 * [backup-simplify]: Simplify 0 into 0 57.100 * [backup-simplify]: Simplify 1 into 1 57.100 * [backup-simplify]: Simplify (/ -1 1) into -1 57.101 * [backup-simplify]: Simplify (* -1 -1) into 1 57.101 * [backup-simplify]: Simplify (+ 0 1) into 1 57.102 * [backup-simplify]: Simplify (sqrt 1) into 1 57.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.104 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 57.104 * [backup-simplify]: Simplify (+ 0 0) into 0 57.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.105 * [backup-simplify]: Simplify (/ 1 1) into 1 57.106 * [taylor]: Taking taylor expansion of 1/2 in x 57.106 * [backup-simplify]: Simplify 1/2 into 1/2 57.106 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 57.106 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 57.107 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.107 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 57.109 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 57.109 * [taylor]: Taking taylor expansion of 1 in x 57.109 * [backup-simplify]: Simplify 1 into 1 57.110 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 57.111 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1/2) 1)) into (/ 1 (+ (sqrt 1/2) 1)) 57.111 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) in x 57.111 * [taylor]: Taking taylor expansion of 1/2 in x 57.111 * [backup-simplify]: Simplify 1/2 into 1/2 57.111 * [taylor]: Taking taylor expansion of (/ 1 (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 57.111 * [taylor]: Taking taylor expansion of (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 57.112 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 57.112 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 57.112 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 57.112 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.112 * [taylor]: Taking taylor expansion of 1 in x 57.112 * [backup-simplify]: Simplify 1 into 1 57.112 * [taylor]: Taking taylor expansion of 1 in x 57.112 * [backup-simplify]: Simplify 1 into 1 57.112 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 57.112 * [taylor]: Taking taylor expansion of (/ -1 x) in x 57.112 * [taylor]: Taking taylor expansion of -1 in x 57.112 * [backup-simplify]: Simplify -1 into -1 57.112 * [taylor]: Taking taylor expansion of x in x 57.112 * [backup-simplify]: Simplify 0 into 0 57.112 * [backup-simplify]: Simplify 1 into 1 57.112 * [backup-simplify]: Simplify (/ -1 1) into -1 57.112 * [taylor]: Taking taylor expansion of (/ -1 x) in x 57.112 * [taylor]: Taking taylor expansion of -1 in x 57.112 * [backup-simplify]: Simplify -1 into -1 57.113 * [taylor]: Taking taylor expansion of x in x 57.113 * [backup-simplify]: Simplify 0 into 0 57.113 * [backup-simplify]: Simplify 1 into 1 57.113 * [backup-simplify]: Simplify (/ -1 1) into -1 57.113 * [backup-simplify]: Simplify (* -1 -1) into 1 57.114 * [backup-simplify]: Simplify (+ 0 1) into 1 57.114 * [backup-simplify]: Simplify (sqrt 1) into 1 57.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.117 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 57.117 * [backup-simplify]: Simplify (+ 0 0) into 0 57.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.118 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 57.118 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 57.118 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 57.118 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 57.118 * [taylor]: Taking taylor expansion of 1/2 in x 57.118 * [backup-simplify]: Simplify 1/2 into 1/2 57.118 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 57.118 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 57.118 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 57.118 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 57.118 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.118 * [taylor]: Taking taylor expansion of 1 in x 57.118 * [backup-simplify]: Simplify 1 into 1 57.118 * [taylor]: Taking taylor expansion of 1 in x 57.118 * [backup-simplify]: Simplify 1 into 1 57.118 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 57.118 * [taylor]: Taking taylor expansion of (/ -1 x) in x 57.118 * [taylor]: Taking taylor expansion of -1 in x 57.118 * [backup-simplify]: Simplify -1 into -1 57.118 * [taylor]: Taking taylor expansion of x in x 57.119 * [backup-simplify]: Simplify 0 into 0 57.119 * [backup-simplify]: Simplify 1 into 1 57.119 * [backup-simplify]: Simplify (/ -1 1) into -1 57.119 * [taylor]: Taking taylor expansion of (/ -1 x) in x 57.119 * [taylor]: Taking taylor expansion of -1 in x 57.119 * [backup-simplify]: Simplify -1 into -1 57.119 * [taylor]: Taking taylor expansion of x in x 57.119 * [backup-simplify]: Simplify 0 into 0 57.119 * [backup-simplify]: Simplify 1 into 1 57.120 * [backup-simplify]: Simplify (/ -1 1) into -1 57.120 * [backup-simplify]: Simplify (* -1 -1) into 1 57.120 * [backup-simplify]: Simplify (+ 0 1) into 1 57.121 * [backup-simplify]: Simplify (sqrt 1) into 1 57.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.124 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 57.124 * [backup-simplify]: Simplify (+ 0 0) into 0 57.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.125 * [backup-simplify]: Simplify (/ 1 1) into 1 57.125 * [taylor]: Taking taylor expansion of 1/2 in x 57.125 * [backup-simplify]: Simplify 1/2 into 1/2 57.126 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 57.126 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 57.127 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.127 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 57.128 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 57.129 * [taylor]: Taking taylor expansion of 1 in x 57.129 * [backup-simplify]: Simplify 1 into 1 57.129 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 57.131 * [backup-simplify]: Simplify (* 1 (+ (sqrt 1/2) 1)) into (+ (sqrt 1/2) 1) 57.132 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1/2) 1)) into (/ 1 (+ (sqrt 1/2) 1)) 57.132 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 1/2 (/ 1 (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) in x 57.132 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 57.132 * [taylor]: Taking taylor expansion of 1/2 in x 57.133 * [backup-simplify]: Simplify 1/2 into 1/2 57.133 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 57.133 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 57.133 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 57.133 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 57.133 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 57.133 * [taylor]: Taking taylor expansion of 1/2 in x 57.133 * [backup-simplify]: Simplify 1/2 into 1/2 57.133 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 57.133 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 57.133 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 57.133 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 57.133 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.133 * [taylor]: Taking taylor expansion of 1 in x 57.133 * [backup-simplify]: Simplify 1 into 1 57.133 * [taylor]: Taking taylor expansion of 1 in x 57.133 * [backup-simplify]: Simplify 1 into 1 57.133 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 57.133 * [taylor]: Taking taylor expansion of (/ -1 x) in x 57.133 * [taylor]: Taking taylor expansion of -1 in x 57.133 * [backup-simplify]: Simplify -1 into -1 57.133 * [taylor]: Taking taylor expansion of x in x 57.133 * [backup-simplify]: Simplify 0 into 0 57.133 * [backup-simplify]: Simplify 1 into 1 57.134 * [backup-simplify]: Simplify (/ -1 1) into -1 57.134 * [taylor]: Taking taylor expansion of (/ -1 x) in x 57.134 * [taylor]: Taking taylor expansion of -1 in x 57.134 * [backup-simplify]: Simplify -1 into -1 57.134 * [taylor]: Taking taylor expansion of x in x 57.134 * [backup-simplify]: Simplify 0 into 0 57.134 * [backup-simplify]: Simplify 1 into 1 57.134 * [backup-simplify]: Simplify (/ -1 1) into -1 57.135 * [backup-simplify]: Simplify (* -1 -1) into 1 57.135 * [backup-simplify]: Simplify (+ 0 1) into 1 57.136 * [backup-simplify]: Simplify (sqrt 1) into 1 57.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.138 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 57.138 * [backup-simplify]: Simplify (+ 0 0) into 0 57.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.139 * [backup-simplify]: Simplify (/ 1 1) into 1 57.139 * [taylor]: Taking taylor expansion of 1/2 in x 57.139 * [backup-simplify]: Simplify 1/2 into 1/2 57.140 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 57.140 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 57.141 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.141 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 57.143 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 57.143 * [taylor]: Taking taylor expansion of 1 in x 57.143 * [backup-simplify]: Simplify 1 into 1 57.144 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 57.145 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1/2) 1)) into (/ 1 (+ (sqrt 1/2) 1)) 57.145 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) in x 57.145 * [taylor]: Taking taylor expansion of 1/2 in x 57.145 * [backup-simplify]: Simplify 1/2 into 1/2 57.145 * [taylor]: Taking taylor expansion of (/ 1 (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 57.145 * [taylor]: Taking taylor expansion of (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 57.145 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 57.146 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 57.146 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 57.146 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.146 * [taylor]: Taking taylor expansion of 1 in x 57.146 * [backup-simplify]: Simplify 1 into 1 57.146 * [taylor]: Taking taylor expansion of 1 in x 57.146 * [backup-simplify]: Simplify 1 into 1 57.146 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 57.146 * [taylor]: Taking taylor expansion of (/ -1 x) in x 57.146 * [taylor]: Taking taylor expansion of -1 in x 57.146 * [backup-simplify]: Simplify -1 into -1 57.146 * [taylor]: Taking taylor expansion of x in x 57.146 * [backup-simplify]: Simplify 0 into 0 57.146 * [backup-simplify]: Simplify 1 into 1 57.146 * [backup-simplify]: Simplify (/ -1 1) into -1 57.146 * [taylor]: Taking taylor expansion of (/ -1 x) in x 57.146 * [taylor]: Taking taylor expansion of -1 in x 57.146 * [backup-simplify]: Simplify -1 into -1 57.146 * [taylor]: Taking taylor expansion of x in x 57.146 * [backup-simplify]: Simplify 0 into 0 57.147 * [backup-simplify]: Simplify 1 into 1 57.147 * [backup-simplify]: Simplify (/ -1 1) into -1 57.147 * [backup-simplify]: Simplify (* -1 -1) into 1 57.148 * [backup-simplify]: Simplify (+ 0 1) into 1 57.148 * [backup-simplify]: Simplify (sqrt 1) into 1 57.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.150 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 57.151 * [backup-simplify]: Simplify (+ 0 0) into 0 57.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.152 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 57.152 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 57.152 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 57.152 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 57.152 * [taylor]: Taking taylor expansion of 1/2 in x 57.152 * [backup-simplify]: Simplify 1/2 into 1/2 57.152 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 57.152 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 57.152 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 57.152 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 57.152 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.152 * [taylor]: Taking taylor expansion of 1 in x 57.152 * [backup-simplify]: Simplify 1 into 1 57.152 * [taylor]: Taking taylor expansion of 1 in x 57.152 * [backup-simplify]: Simplify 1 into 1 57.152 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 57.152 * [taylor]: Taking taylor expansion of (/ -1 x) in x 57.152 * [taylor]: Taking taylor expansion of -1 in x 57.152 * [backup-simplify]: Simplify -1 into -1 57.152 * [taylor]: Taking taylor expansion of x in x 57.152 * [backup-simplify]: Simplify 0 into 0 57.152 * [backup-simplify]: Simplify 1 into 1 57.153 * [backup-simplify]: Simplify (/ -1 1) into -1 57.153 * [taylor]: Taking taylor expansion of (/ -1 x) in x 57.153 * [taylor]: Taking taylor expansion of -1 in x 57.153 * [backup-simplify]: Simplify -1 into -1 57.153 * [taylor]: Taking taylor expansion of x in x 57.153 * [backup-simplify]: Simplify 0 into 0 57.153 * [backup-simplify]: Simplify 1 into 1 57.153 * [backup-simplify]: Simplify (/ -1 1) into -1 57.154 * [backup-simplify]: Simplify (* -1 -1) into 1 57.154 * [backup-simplify]: Simplify (+ 0 1) into 1 57.155 * [backup-simplify]: Simplify (sqrt 1) into 1 57.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.157 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 57.158 * [backup-simplify]: Simplify (+ 0 0) into 0 57.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.159 * [backup-simplify]: Simplify (/ 1 1) into 1 57.159 * [taylor]: Taking taylor expansion of 1/2 in x 57.159 * [backup-simplify]: Simplify 1/2 into 1/2 57.159 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 57.160 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 57.166 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.167 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 57.168 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 57.168 * [taylor]: Taking taylor expansion of 1 in x 57.168 * [backup-simplify]: Simplify 1 into 1 57.169 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 57.170 * [backup-simplify]: Simplify (* 1 (+ (sqrt 1/2) 1)) into (+ (sqrt 1/2) 1) 57.172 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1/2) 1)) into (/ 1 (+ (sqrt 1/2) 1)) 57.174 * [backup-simplify]: Simplify (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) into (/ 1/2 (+ (sqrt 1/2) 1)) 57.177 * [backup-simplify]: Simplify (+ (/ 1/2 (+ (sqrt 1/2) 1)) 0) into (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) 57.179 * [backup-simplify]: Simplify (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) into (/ 1/2 (+ (sqrt 1/2) 1)) 57.181 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 57.190 * [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))))) 57.201 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) (* 0 (/ 1 (+ (sqrt 1/2) 1)))) into (- (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) 57.203 * [backup-simplify]: Simplify (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) into (/ 1/2 (+ (sqrt 1/2) 1)) 57.204 * [backup-simplify]: Simplify (- (/ 1/2 (+ (sqrt 1/2) 1))) into (- (* 1/2 (/ 1 (+ (sqrt 1/2) 1)))) 57.212 * [backup-simplify]: Simplify (+ (- (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (- (* 1/2 (/ 1 (+ (sqrt 1/2) 1))))) into (- (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (* 1/2 (/ 1 (+ (sqrt 1/2) 1))))) 57.218 * [backup-simplify]: Simplify (- (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (* 1/2 (/ 1 (+ (sqrt 1/2) 1))))) into (- (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (* 1/2 (/ 1 (+ (sqrt 1/2) 1))))) 57.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 57.219 * [backup-simplify]: Simplify (+ 0 0) into 0 57.222 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 57.224 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 57.247 * [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))))) 57.275 * [backup-simplify]: Simplify (+ (* 1/2 (+ (* 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)))))) (+ (* 0 (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) (* 0 (/ 1 (+ (sqrt 1/2) 1))))) into (+ (* 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))))) 57.276 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 57.281 * [backup-simplify]: Simplify (+ (* 1 (* 1/4 (/ 1 (sqrt 1/2)))) (* 0 (+ (sqrt 1/2) 1))) into (* 1/4 (/ 1 (sqrt 1/2))) 57.298 * [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))))) 57.307 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) (* 0 (/ 1 (+ (sqrt 1/2) 1)))) into (- (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) 57.311 * [backup-simplify]: Simplify (- (- (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) into (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) 57.325 * [backup-simplify]: Simplify (+ (+ (* 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))))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) 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)))))) 57.346 * [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)))))) 57.384 * [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)) (+ (* (- (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (* 1/2 (/ 1 (+ (sqrt 1/2) 1))))) (/ 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)))))))) 57.385 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 57.385 * [backup-simplify]: Simplify (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) into (/ 1/2 (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) (hypot 1 x))) 57.385 * [approximate]: Taking taylor expansion of (/ 1/2 (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) (hypot 1 x))) in (x) around 0 57.385 * [taylor]: Taking taylor expansion of (/ 1/2 (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) (hypot 1 x))) in x 57.385 * [taylor]: Taking taylor expansion of 1/2 in x 57.385 * [backup-simplify]: Simplify 1/2 into 1/2 57.385 * [taylor]: Taking taylor expansion of (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) (hypot 1 x)) in x 57.385 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 57.385 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 57.385 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 57.385 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 57.385 * [taylor]: Taking taylor expansion of 1/2 in x 57.385 * [backup-simplify]: Simplify 1/2 into 1/2 57.385 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 57.385 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 57.385 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 57.385 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 57.385 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.385 * [taylor]: Taking taylor expansion of 1 in x 57.385 * [backup-simplify]: Simplify 1 into 1 57.385 * [taylor]: Taking taylor expansion of 1 in x 57.386 * [backup-simplify]: Simplify 1 into 1 57.386 * [taylor]: Taking taylor expansion of (* x x) in x 57.386 * [taylor]: Taking taylor expansion of x in x 57.386 * [backup-simplify]: Simplify 0 into 0 57.386 * [backup-simplify]: Simplify 1 into 1 57.386 * [taylor]: Taking taylor expansion of x in x 57.386 * [backup-simplify]: Simplify 0 into 0 57.386 * [backup-simplify]: Simplify 1 into 1 57.386 * [backup-simplify]: Simplify (* 1 1) into 1 57.386 * [backup-simplify]: Simplify (* 0 0) into 0 57.387 * [backup-simplify]: Simplify (+ 1 0) into 1 57.387 * [backup-simplify]: Simplify (sqrt 1) into 1 57.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 57.389 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 57.389 * [backup-simplify]: Simplify (+ 0 0) into 0 57.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.390 * [backup-simplify]: Simplify (/ 1 1) into 1 57.391 * [taylor]: Taking taylor expansion of 1/2 in x 57.391 * [backup-simplify]: Simplify 1/2 into 1/2 57.391 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.391 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 57.392 * [backup-simplify]: Simplify (sqrt 1) into 1 57.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.393 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 57.394 * [backup-simplify]: Simplify (+ 0 0) into 0 57.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.394 * [taylor]: Taking taylor expansion of 1 in x 57.395 * [backup-simplify]: Simplify 1 into 1 57.395 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 57.395 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 57.395 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 57.395 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.395 * [taylor]: Taking taylor expansion of 1 in x 57.395 * [backup-simplify]: Simplify 1 into 1 57.395 * [taylor]: Taking taylor expansion of 1 in x 57.395 * [backup-simplify]: Simplify 1 into 1 57.395 * [taylor]: Taking taylor expansion of (* x x) in x 57.395 * [taylor]: Taking taylor expansion of x in x 57.395 * [backup-simplify]: Simplify 0 into 0 57.395 * [backup-simplify]: Simplify 1 into 1 57.395 * [taylor]: Taking taylor expansion of x in x 57.395 * [backup-simplify]: Simplify 0 into 0 57.395 * [backup-simplify]: Simplify 1 into 1 57.396 * [backup-simplify]: Simplify (* 1 1) into 1 57.396 * [backup-simplify]: Simplify (* 0 0) into 0 57.397 * [backup-simplify]: Simplify (+ 1 0) into 1 57.397 * [backup-simplify]: Simplify (sqrt 1) into 1 57.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 57.398 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 57.398 * [backup-simplify]: Simplify (+ 0 0) into 0 57.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.399 * [backup-simplify]: Simplify (+ 1 1) into 2 57.400 * [backup-simplify]: Simplify (* 2 1) into 2 57.400 * [backup-simplify]: Simplify (/ 1/2 2) into 1/4 57.400 * [taylor]: Taking taylor expansion of (/ 1/2 (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) (hypot 1 x))) in x 57.400 * [taylor]: Taking taylor expansion of 1/2 in x 57.400 * [backup-simplify]: Simplify 1/2 into 1/2 57.400 * [taylor]: Taking taylor expansion of (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) (hypot 1 x)) in x 57.400 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 57.400 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 57.400 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 57.400 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 57.401 * [taylor]: Taking taylor expansion of 1/2 in x 57.401 * [backup-simplify]: Simplify 1/2 into 1/2 57.401 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 57.401 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 57.401 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 57.401 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 57.401 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.401 * [taylor]: Taking taylor expansion of 1 in x 57.401 * [backup-simplify]: Simplify 1 into 1 57.401 * [taylor]: Taking taylor expansion of 1 in x 57.401 * [backup-simplify]: Simplify 1 into 1 57.401 * [taylor]: Taking taylor expansion of (* x x) in x 57.401 * [taylor]: Taking taylor expansion of x in x 57.401 * [backup-simplify]: Simplify 0 into 0 57.401 * [backup-simplify]: Simplify 1 into 1 57.401 * [taylor]: Taking taylor expansion of x in x 57.401 * [backup-simplify]: Simplify 0 into 0 57.401 * [backup-simplify]: Simplify 1 into 1 57.401 * [backup-simplify]: Simplify (* 1 1) into 1 57.402 * [backup-simplify]: Simplify (* 0 0) into 0 57.402 * [backup-simplify]: Simplify (+ 1 0) into 1 57.403 * [backup-simplify]: Simplify (sqrt 1) into 1 57.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 57.404 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 57.404 * [backup-simplify]: Simplify (+ 0 0) into 0 57.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.405 * [backup-simplify]: Simplify (/ 1 1) into 1 57.405 * [taylor]: Taking taylor expansion of 1/2 in x 57.406 * [backup-simplify]: Simplify 1/2 into 1/2 57.406 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.406 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 57.407 * [backup-simplify]: Simplify (sqrt 1) into 1 57.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.408 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 57.409 * [backup-simplify]: Simplify (+ 0 0) into 0 57.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.409 * [taylor]: Taking taylor expansion of 1 in x 57.410 * [backup-simplify]: Simplify 1 into 1 57.410 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 57.410 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 57.410 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 57.410 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.410 * [taylor]: Taking taylor expansion of 1 in x 57.410 * [backup-simplify]: Simplify 1 into 1 57.410 * [taylor]: Taking taylor expansion of 1 in x 57.410 * [backup-simplify]: Simplify 1 into 1 57.410 * [taylor]: Taking taylor expansion of (* x x) in x 57.410 * [taylor]: Taking taylor expansion of x in x 57.410 * [backup-simplify]: Simplify 0 into 0 57.410 * [backup-simplify]: Simplify 1 into 1 57.410 * [taylor]: Taking taylor expansion of x in x 57.410 * [backup-simplify]: Simplify 0 into 0 57.410 * [backup-simplify]: Simplify 1 into 1 57.411 * [backup-simplify]: Simplify (* 1 1) into 1 57.411 * [backup-simplify]: Simplify (* 0 0) into 0 57.411 * [backup-simplify]: Simplify (+ 1 0) into 1 57.412 * [backup-simplify]: Simplify (sqrt 1) into 1 57.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 57.420 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 57.420 * [backup-simplify]: Simplify (+ 0 0) into 0 57.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.421 * [backup-simplify]: Simplify (+ 1 1) into 2 57.422 * [backup-simplify]: Simplify (* 2 1) into 2 57.422 * [backup-simplify]: Simplify (/ 1/2 2) into 1/4 57.422 * [backup-simplify]: Simplify 1/4 into 1/4 57.423 * [backup-simplify]: Simplify (+ 0 0) into 0 57.423 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 57.424 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/4 (/ 0 2)))) into 0 57.424 * [backup-simplify]: Simplify 0 into 0 57.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 57.426 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 57.426 * [backup-simplify]: Simplify (+ 0 1) into 1 57.427 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 57.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 57.429 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 57.429 * [backup-simplify]: Simplify (+ 0 1) into 1 57.430 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 57.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 57.433 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 57.433 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 57.434 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 57.435 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 57.436 * [backup-simplify]: Simplify (+ (* 2 1/2) (+ (* 0 0) (* -1/8 1))) into 7/8 57.437 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/4 (/ 7/8 2)) (* 0 (/ 0 2)))) into -7/64 57.437 * [backup-simplify]: Simplify -7/64 into -7/64 57.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 57.439 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 57.440 * [backup-simplify]: Simplify (+ 0 0) into 0 57.441 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 57.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 57.443 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 57.443 * [backup-simplify]: Simplify (+ 0 0) into 0 57.444 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 57.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 57.446 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 57.446 * [backup-simplify]: Simplify (+ 0 0) into 0 57.447 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 57.447 * [backup-simplify]: Simplify (+ 0 0) into 0 57.448 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1/2) (+ (* -1/8 0) (* 0 1)))) into 0 57.449 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/4 (/ 0 2)) (* 0 (/ 7/8 2)) (* -7/64 (/ 0 2)))) into 0 57.449 * [backup-simplify]: Simplify 0 into 0 57.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 57.450 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 57.450 * [backup-simplify]: Simplify (+ 0 0) into 0 57.451 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 57.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 57.452 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 57.453 * [backup-simplify]: Simplify (+ 0 0) into 0 57.453 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 57.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 57.455 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 57.455 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 57.456 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 57.457 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 57.458 * [backup-simplify]: Simplify (+ (* 2 -1/8) (+ (* 0 0) (+ (* -1/8 1/2) (+ (* 0 0) (* 11/128 1))))) into -29/128 57.459 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/4 (/ -29/128 2)) (* 0 (/ 0 2)) (* -7/64 (/ 7/8 2)) (* 0 (/ 0 2)))) into 39/512 57.459 * [backup-simplify]: Simplify 39/512 into 39/512 57.459 * [backup-simplify]: Simplify (+ (* 39/512 (pow x 4)) (+ (* -7/64 (pow x 2)) 1/4)) into (- (+ (* 39/512 (pow x 4)) 1/4) (* 7/64 (pow x 2))) 57.459 * [backup-simplify]: Simplify (/ (/ 1/2 (hypot 1 (/ 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)))) into (/ 1/2 (* (hypot 1 (/ 1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) 57.459 * [approximate]: Taking taylor expansion of (/ 1/2 (* (hypot 1 (/ 1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in (x) around 0 57.459 * [taylor]: Taking taylor expansion of (/ 1/2 (* (hypot 1 (/ 1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 57.459 * [taylor]: Taking taylor expansion of 1/2 in x 57.459 * [backup-simplify]: Simplify 1/2 into 1/2 57.459 * [taylor]: Taking taylor expansion of (* (hypot 1 (/ 1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 57.459 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 57.459 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 57.459 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 57.459 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.459 * [taylor]: Taking taylor expansion of 1 in x 57.459 * [backup-simplify]: Simplify 1 into 1 57.459 * [taylor]: Taking taylor expansion of 1 in x 57.459 * [backup-simplify]: Simplify 1 into 1 57.459 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 57.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 57.459 * [taylor]: Taking taylor expansion of x in x 57.459 * [backup-simplify]: Simplify 0 into 0 57.459 * [backup-simplify]: Simplify 1 into 1 57.460 * [backup-simplify]: Simplify (/ 1 1) into 1 57.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 57.460 * [taylor]: Taking taylor expansion of x in x 57.460 * [backup-simplify]: Simplify 0 into 0 57.460 * [backup-simplify]: Simplify 1 into 1 57.460 * [backup-simplify]: Simplify (/ 1 1) into 1 57.460 * [backup-simplify]: Simplify (* 1 1) into 1 57.461 * [backup-simplify]: Simplify (+ 0 1) into 1 57.461 * [backup-simplify]: Simplify (sqrt 1) into 1 57.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 57.462 * [backup-simplify]: Simplify (+ 0 0) into 0 57.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.463 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 57.463 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 57.463 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 57.463 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 57.463 * [taylor]: Taking taylor expansion of 1/2 in x 57.463 * [backup-simplify]: Simplify 1/2 into 1/2 57.463 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 57.463 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 57.463 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 57.463 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 57.463 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.463 * [taylor]: Taking taylor expansion of 1 in x 57.463 * [backup-simplify]: Simplify 1 into 1 57.463 * [taylor]: Taking taylor expansion of 1 in x 57.463 * [backup-simplify]: Simplify 1 into 1 57.463 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 57.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x 57.463 * [taylor]: Taking taylor expansion of x in x 57.463 * [backup-simplify]: Simplify 0 into 0 57.463 * [backup-simplify]: Simplify 1 into 1 57.463 * [backup-simplify]: Simplify (/ 1 1) into 1 57.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x 57.463 * [taylor]: Taking taylor expansion of x in x 57.463 * [backup-simplify]: Simplify 0 into 0 57.463 * [backup-simplify]: Simplify 1 into 1 57.464 * [backup-simplify]: Simplify (/ 1 1) into 1 57.464 * [backup-simplify]: Simplify (* 1 1) into 1 57.465 * [backup-simplify]: Simplify (+ 0 1) into 1 57.465 * [backup-simplify]: Simplify (sqrt 1) into 1 57.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 57.468 * [backup-simplify]: Simplify (+ 0 0) into 0 57.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.469 * [backup-simplify]: Simplify (/ 1 1) into 1 57.469 * [taylor]: Taking taylor expansion of 1/2 in x 57.469 * [backup-simplify]: Simplify 1/2 into 1/2 57.469 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 57.470 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 57.470 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.471 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 57.472 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 57.472 * [taylor]: Taking taylor expansion of 1 in x 57.472 * [backup-simplify]: Simplify 1 into 1 57.473 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 57.474 * [backup-simplify]: Simplify (* 1 (+ (sqrt 1/2) 1)) into (+ (sqrt 1/2) 1) 57.476 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 57.476 * [taylor]: Taking taylor expansion of (/ 1/2 (* (hypot 1 (/ 1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 57.476 * [taylor]: Taking taylor expansion of 1/2 in x 57.476 * [backup-simplify]: Simplify 1/2 into 1/2 57.476 * [taylor]: Taking taylor expansion of (* (hypot 1 (/ 1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 57.476 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 57.476 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 57.476 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 57.476 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.476 * [taylor]: Taking taylor expansion of 1 in x 57.476 * [backup-simplify]: Simplify 1 into 1 57.476 * [taylor]: Taking taylor expansion of 1 in x 57.476 * [backup-simplify]: Simplify 1 into 1 57.476 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 57.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 57.476 * [taylor]: Taking taylor expansion of x in x 57.476 * [backup-simplify]: Simplify 0 into 0 57.476 * [backup-simplify]: Simplify 1 into 1 57.477 * [backup-simplify]: Simplify (/ 1 1) into 1 57.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 57.477 * [taylor]: Taking taylor expansion of x in x 57.477 * [backup-simplify]: Simplify 0 into 0 57.477 * [backup-simplify]: Simplify 1 into 1 57.477 * [backup-simplify]: Simplify (/ 1 1) into 1 57.478 * [backup-simplify]: Simplify (* 1 1) into 1 57.478 * [backup-simplify]: Simplify (+ 0 1) into 1 57.478 * [backup-simplify]: Simplify (sqrt 1) into 1 57.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 57.481 * [backup-simplify]: Simplify (+ 0 0) into 0 57.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.482 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 57.482 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 57.482 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 57.482 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 57.482 * [taylor]: Taking taylor expansion of 1/2 in x 57.482 * [backup-simplify]: Simplify 1/2 into 1/2 57.482 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 57.482 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 57.482 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 57.482 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 57.482 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.482 * [taylor]: Taking taylor expansion of 1 in x 57.482 * [backup-simplify]: Simplify 1 into 1 57.482 * [taylor]: Taking taylor expansion of 1 in x 57.482 * [backup-simplify]: Simplify 1 into 1 57.482 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 57.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 57.482 * [taylor]: Taking taylor expansion of x in x 57.482 * [backup-simplify]: Simplify 0 into 0 57.482 * [backup-simplify]: Simplify 1 into 1 57.483 * [backup-simplify]: Simplify (/ 1 1) into 1 57.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 57.483 * [taylor]: Taking taylor expansion of x in x 57.483 * [backup-simplify]: Simplify 0 into 0 57.483 * [backup-simplify]: Simplify 1 into 1 57.483 * [backup-simplify]: Simplify (/ 1 1) into 1 57.484 * [backup-simplify]: Simplify (* 1 1) into 1 57.484 * [backup-simplify]: Simplify (+ 0 1) into 1 57.485 * [backup-simplify]: Simplify (sqrt 1) into 1 57.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 57.487 * [backup-simplify]: Simplify (+ 0 0) into 0 57.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.488 * [backup-simplify]: Simplify (/ 1 1) into 1 57.488 * [taylor]: Taking taylor expansion of 1/2 in x 57.488 * [backup-simplify]: Simplify 1/2 into 1/2 57.489 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 57.489 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 57.490 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.490 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 57.492 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 57.492 * [taylor]: Taking taylor expansion of 1 in x 57.492 * [backup-simplify]: Simplify 1 into 1 57.492 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 57.494 * [backup-simplify]: Simplify (* 1 (+ (sqrt 1/2) 1)) into (+ (sqrt 1/2) 1) 57.496 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 57.497 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 57.499 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 57.503 * [backup-simplify]: Simplify (+ (* 1 (* 1/4 (/ 1 (sqrt 1/2)))) (* 0 (+ (sqrt 1/2) 1))) into (* 1/4 (/ 1 (sqrt 1/2))) 57.513 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt 1/2) 1)) (+ (* (/ 1/2 (+ (sqrt 1/2) 1)) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (- (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) 57.520 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) into (- (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) 57.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.521 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 57.522 * [backup-simplify]: Simplify (+ 0 0) into 0 57.527 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 57.530 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 57.530 * [backup-simplify]: Simplify (* 1 1) into 1 57.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 57.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 57.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 57.533 * [backup-simplify]: Simplify (+ 1 0) into 1 57.534 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 57.554 * [backup-simplify]: Simplify (+ (* 1 (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (+ (* 0 (* 1/4 (/ 1 (sqrt 1/2)))) (* 1/2 (+ (sqrt 1/2) 1)))) into (- (+ (* 1/2 (sqrt 1/2)) 1/2) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 57.577 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt 1/2) 1)) (+ (* (/ 1/2 (+ (sqrt 1/2) 1)) (/ (- (+ (* 1/2 (sqrt 1/2)) 1/2) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (+ (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 (- (+ (* 1/64 (/ 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))))) (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 1) 2))) (* 1/4 (/ (sqrt 1/2) (pow (+ (sqrt 1/2) 1) 2))))) 57.598 * [backup-simplify]: Simplify (- (+ (* 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))))) (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 1) 2))) (* 1/4 (/ (sqrt 1/2) (pow (+ (sqrt 1/2) 1) 2))))) into (- (+ (* 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))))) (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 1) 2))) (* 1/4 (/ (sqrt 1/2) (pow (+ (sqrt 1/2) 1) 2))))) 57.637 * [backup-simplify]: Simplify (+ (* (- (+ (* 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))))) (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 1) 2))) (* 1/4 (/ (sqrt 1/2) (pow (+ (sqrt 1/2) 1) 2))))) (pow (/ 1 x) 3)) (+ (* (- (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (pow (/ 1 x) 2)) (* (/ 1/2 (+ (sqrt 1/2) 1)) (/ 1 x)))) into (- (+ (* 1/32 (/ 1 (* (pow x 3) (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (+ (* 1/64 (/ 1 (* (pow x 3) (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3))))) (* 1/2 (/ 1 (* x (+ (sqrt 1/2) 1)))))) (+ (* 1/8 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow x 3) (pow (+ (sqrt 1/2) 1) 2)))) (* 1/4 (/ (sqrt 1/2) (* (pow x 3) (pow (+ (sqrt 1/2) 1) 2))))))) 57.637 * [backup-simplify]: Simplify (/ (/ 1/2 (hypot 1 (/ 1 (- x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)))) into (/ 1/2 (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) 57.637 * [approximate]: Taking taylor expansion of (/ 1/2 (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in (x) around 0 57.637 * [taylor]: Taking taylor expansion of (/ 1/2 (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 57.637 * [taylor]: Taking taylor expansion of 1/2 in x 57.637 * [backup-simplify]: Simplify 1/2 into 1/2 57.637 * [taylor]: Taking taylor expansion of (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 57.637 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 57.637 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 57.637 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 57.638 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.638 * [taylor]: Taking taylor expansion of 1 in x 57.638 * [backup-simplify]: Simplify 1 into 1 57.638 * [taylor]: Taking taylor expansion of 1 in x 57.638 * [backup-simplify]: Simplify 1 into 1 57.638 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 57.638 * [taylor]: Taking taylor expansion of (/ -1 x) in x 57.638 * [taylor]: Taking taylor expansion of -1 in x 57.638 * [backup-simplify]: Simplify -1 into -1 57.638 * [taylor]: Taking taylor expansion of x in x 57.638 * [backup-simplify]: Simplify 0 into 0 57.638 * [backup-simplify]: Simplify 1 into 1 57.638 * [backup-simplify]: Simplify (/ -1 1) into -1 57.638 * [taylor]: Taking taylor expansion of (/ -1 x) in x 57.638 * [taylor]: Taking taylor expansion of -1 in x 57.638 * [backup-simplify]: Simplify -1 into -1 57.638 * [taylor]: Taking taylor expansion of x in x 57.638 * [backup-simplify]: Simplify 0 into 0 57.638 * [backup-simplify]: Simplify 1 into 1 57.639 * [backup-simplify]: Simplify (/ -1 1) into -1 57.639 * [backup-simplify]: Simplify (* -1 -1) into 1 57.640 * [backup-simplify]: Simplify (+ 0 1) into 1 57.640 * [backup-simplify]: Simplify (sqrt 1) into 1 57.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.641 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 57.641 * [backup-simplify]: Simplify (+ 0 0) into 0 57.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.642 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 57.642 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 57.642 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 57.642 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 57.642 * [taylor]: Taking taylor expansion of 1/2 in x 57.642 * [backup-simplify]: Simplify 1/2 into 1/2 57.642 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 57.642 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 57.642 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 57.642 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 57.642 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.642 * [taylor]: Taking taylor expansion of 1 in x 57.642 * [backup-simplify]: Simplify 1 into 1 57.642 * [taylor]: Taking taylor expansion of 1 in x 57.642 * [backup-simplify]: Simplify 1 into 1 57.642 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 57.642 * [taylor]: Taking taylor expansion of (/ -1 x) in x 57.642 * [taylor]: Taking taylor expansion of -1 in x 57.642 * [backup-simplify]: Simplify -1 into -1 57.642 * [taylor]: Taking taylor expansion of x in x 57.642 * [backup-simplify]: Simplify 0 into 0 57.642 * [backup-simplify]: Simplify 1 into 1 57.642 * [backup-simplify]: Simplify (/ -1 1) into -1 57.642 * [taylor]: Taking taylor expansion of (/ -1 x) in x 57.643 * [taylor]: Taking taylor expansion of -1 in x 57.643 * [backup-simplify]: Simplify -1 into -1 57.643 * [taylor]: Taking taylor expansion of x in x 57.643 * [backup-simplify]: Simplify 0 into 0 57.643 * [backup-simplify]: Simplify 1 into 1 57.643 * [backup-simplify]: Simplify (/ -1 1) into -1 57.643 * [backup-simplify]: Simplify (* -1 -1) into 1 57.643 * [backup-simplify]: Simplify (+ 0 1) into 1 57.644 * [backup-simplify]: Simplify (sqrt 1) into 1 57.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.645 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 57.645 * [backup-simplify]: Simplify (+ 0 0) into 0 57.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.646 * [backup-simplify]: Simplify (/ 1 1) into 1 57.646 * [taylor]: Taking taylor expansion of 1/2 in x 57.646 * [backup-simplify]: Simplify 1/2 into 1/2 57.646 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 57.646 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 57.647 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.647 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 57.648 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 57.648 * [taylor]: Taking taylor expansion of 1 in x 57.648 * [backup-simplify]: Simplify 1 into 1 57.648 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 57.649 * [backup-simplify]: Simplify (* 1 (+ (sqrt 1/2) 1)) into (+ (sqrt 1/2) 1) 57.650 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 57.650 * [taylor]: Taking taylor expansion of (/ 1/2 (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 57.650 * [taylor]: Taking taylor expansion of 1/2 in x 57.650 * [backup-simplify]: Simplify 1/2 into 1/2 57.650 * [taylor]: Taking taylor expansion of (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 57.650 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 57.650 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 57.650 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 57.650 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.650 * [taylor]: Taking taylor expansion of 1 in x 57.651 * [backup-simplify]: Simplify 1 into 1 57.651 * [taylor]: Taking taylor expansion of 1 in x 57.651 * [backup-simplify]: Simplify 1 into 1 57.651 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 57.651 * [taylor]: Taking taylor expansion of (/ -1 x) in x 57.651 * [taylor]: Taking taylor expansion of -1 in x 57.651 * [backup-simplify]: Simplify -1 into -1 57.651 * [taylor]: Taking taylor expansion of x in x 57.651 * [backup-simplify]: Simplify 0 into 0 57.651 * [backup-simplify]: Simplify 1 into 1 57.651 * [backup-simplify]: Simplify (/ -1 1) into -1 57.651 * [taylor]: Taking taylor expansion of (/ -1 x) in x 57.651 * [taylor]: Taking taylor expansion of -1 in x 57.651 * [backup-simplify]: Simplify -1 into -1 57.651 * [taylor]: Taking taylor expansion of x in x 57.651 * [backup-simplify]: Simplify 0 into 0 57.651 * [backup-simplify]: Simplify 1 into 1 57.651 * [backup-simplify]: Simplify (/ -1 1) into -1 57.651 * [backup-simplify]: Simplify (* -1 -1) into 1 57.652 * [backup-simplify]: Simplify (+ 0 1) into 1 57.652 * [backup-simplify]: Simplify (sqrt 1) into 1 57.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.653 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 57.654 * [backup-simplify]: Simplify (+ 0 0) into 0 57.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.654 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 57.654 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 57.654 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 57.654 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 57.654 * [taylor]: Taking taylor expansion of 1/2 in x 57.654 * [backup-simplify]: Simplify 1/2 into 1/2 57.654 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 57.654 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 57.654 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 57.654 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 57.654 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.654 * [taylor]: Taking taylor expansion of 1 in x 57.654 * [backup-simplify]: Simplify 1 into 1 57.654 * [taylor]: Taking taylor expansion of 1 in x 57.654 * [backup-simplify]: Simplify 1 into 1 57.654 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 57.654 * [taylor]: Taking taylor expansion of (/ -1 x) in x 57.654 * [taylor]: Taking taylor expansion of -1 in x 57.654 * [backup-simplify]: Simplify -1 into -1 57.654 * [taylor]: Taking taylor expansion of x in x 57.654 * [backup-simplify]: Simplify 0 into 0 57.654 * [backup-simplify]: Simplify 1 into 1 57.655 * [backup-simplify]: Simplify (/ -1 1) into -1 57.655 * [taylor]: Taking taylor expansion of (/ -1 x) in x 57.655 * [taylor]: Taking taylor expansion of -1 in x 57.655 * [backup-simplify]: Simplify -1 into -1 57.655 * [taylor]: Taking taylor expansion of x in x 57.655 * [backup-simplify]: Simplify 0 into 0 57.655 * [backup-simplify]: Simplify 1 into 1 57.655 * [backup-simplify]: Simplify (/ -1 1) into -1 57.655 * [backup-simplify]: Simplify (* -1 -1) into 1 57.656 * [backup-simplify]: Simplify (+ 0 1) into 1 57.656 * [backup-simplify]: Simplify (sqrt 1) into 1 57.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.657 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 57.658 * [backup-simplify]: Simplify (+ 0 0) into 0 57.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.658 * [backup-simplify]: Simplify (/ 1 1) into 1 57.658 * [taylor]: Taking taylor expansion of 1/2 in x 57.658 * [backup-simplify]: Simplify 1/2 into 1/2 57.659 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 57.665 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 57.666 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.666 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 57.668 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 57.668 * [taylor]: Taking taylor expansion of 1 in x 57.668 * [backup-simplify]: Simplify 1 into 1 57.669 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 57.670 * [backup-simplify]: Simplify (* 1 (+ (sqrt 1/2) 1)) into (+ (sqrt 1/2) 1) 57.672 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 57.673 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 57.675 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 57.679 * [backup-simplify]: Simplify (+ (* 1 (* 1/4 (/ 1 (sqrt 1/2)))) (* 0 (+ (sqrt 1/2) 1))) into (* 1/4 (/ 1 (sqrt 1/2))) 57.686 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt 1/2) 1)) (+ (* (/ 1/2 (+ (sqrt 1/2) 1)) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (- (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) 57.690 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) into (- (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) 57.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.691 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 57.691 * [backup-simplify]: Simplify (+ 0 0) into 0 57.694 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 57.696 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 57.696 * [backup-simplify]: Simplify (* 1 1) into 1 57.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 57.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 57.698 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 57.698 * [backup-simplify]: Simplify (+ 1 0) into 1 57.698 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 57.705 * [backup-simplify]: Simplify (+ (* 1 (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (+ (* 0 (* 1/4 (/ 1 (sqrt 1/2)))) (* 1/2 (+ (sqrt 1/2) 1)))) into (- (+ (* 1/2 (sqrt 1/2)) 1/2) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 57.733 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt 1/2) 1)) (+ (* (/ 1/2 (+ (sqrt 1/2) 1)) (/ (- (+ (* 1/2 (sqrt 1/2)) 1/2) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (+ (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 (- (+ (* 1/64 (/ 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))))) (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 1) 2))) (* 1/4 (/ (sqrt 1/2) (pow (+ (sqrt 1/2) 1) 2))))) 57.750 * [backup-simplify]: Simplify (- (+ (* 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))))) (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 1) 2))) (* 1/4 (/ (sqrt 1/2) (pow (+ (sqrt 1/2) 1) 2))))) into (- (+ (* 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))))) (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 1) 2))) (* 1/4 (/ (sqrt 1/2) (pow (+ (sqrt 1/2) 1) 2))))) 57.794 * [backup-simplify]: Simplify (+ (* (- (+ (* 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))))) (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 1) 2))) (* 1/4 (/ (sqrt 1/2) (pow (+ (sqrt 1/2) 1) 2))))) (pow (/ 1 (- x)) 3)) (+ (* (- (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (pow (/ 1 (- x)) 2)) (* (/ 1/2 (+ (sqrt 1/2) 1)) (/ 1 (- x))))) into (- (+ (* 1/4 (/ 1 (* (pow x 3) (pow (+ (sqrt 1/2) 1) 2)))) (* 1/4 (/ (sqrt 1/2) (* (pow x 3) (pow (+ (sqrt 1/2) 1) 2))))) (+ (* 1/8 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (+ (* 1/32 (/ 1 (* (pow x 3) (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (+ (* 1/64 (/ 1 (* (pow x 3) (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3))))) (* 1/2 (/ 1 (* x (+ (sqrt 1/2) 1)))))))) 57.794 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2) 57.794 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 57.794 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in (x) around 0 57.794 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 57.794 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 57.794 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 57.794 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 57.794 * [taylor]: Taking taylor expansion of 1/2 in x 57.794 * [backup-simplify]: Simplify 1/2 into 1/2 57.794 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 57.794 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 57.794 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 57.794 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 57.794 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.795 * [taylor]: Taking taylor expansion of 1 in x 57.795 * [backup-simplify]: Simplify 1 into 1 57.795 * [taylor]: Taking taylor expansion of 1 in x 57.795 * [backup-simplify]: Simplify 1 into 1 57.795 * [taylor]: Taking taylor expansion of (* x x) in x 57.795 * [taylor]: Taking taylor expansion of x in x 57.795 * [backup-simplify]: Simplify 0 into 0 57.795 * [backup-simplify]: Simplify 1 into 1 57.795 * [taylor]: Taking taylor expansion of x in x 57.795 * [backup-simplify]: Simplify 0 into 0 57.795 * [backup-simplify]: Simplify 1 into 1 57.795 * [backup-simplify]: Simplify (* 1 1) into 1 57.795 * [backup-simplify]: Simplify (* 0 0) into 0 57.796 * [backup-simplify]: Simplify (+ 1 0) into 1 57.796 * [backup-simplify]: Simplify (sqrt 1) into 1 57.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 57.798 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 57.798 * [backup-simplify]: Simplify (+ 0 0) into 0 57.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.799 * [backup-simplify]: Simplify (/ 1 1) into 1 57.799 * [taylor]: Taking taylor expansion of 1/2 in x 57.799 * [backup-simplify]: Simplify 1/2 into 1/2 57.799 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.800 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 57.800 * [backup-simplify]: Simplify (sqrt 1) into 1 57.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 57.802 * [backup-simplify]: Simplify (+ 0 0) into 0 57.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.803 * [taylor]: Taking taylor expansion of 1 in x 57.803 * [backup-simplify]: Simplify 1 into 1 57.803 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 57.803 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 57.803 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 57.803 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 57.803 * [taylor]: Taking taylor expansion of 1/2 in x 57.803 * [backup-simplify]: Simplify 1/2 into 1/2 57.803 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 57.803 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 57.803 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 57.803 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 57.803 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.803 * [taylor]: Taking taylor expansion of 1 in x 57.803 * [backup-simplify]: Simplify 1 into 1 57.803 * [taylor]: Taking taylor expansion of 1 in x 57.803 * [backup-simplify]: Simplify 1 into 1 57.803 * [taylor]: Taking taylor expansion of (* x x) in x 57.803 * [taylor]: Taking taylor expansion of x in x 57.803 * [backup-simplify]: Simplify 0 into 0 57.803 * [backup-simplify]: Simplify 1 into 1 57.803 * [taylor]: Taking taylor expansion of x in x 57.803 * [backup-simplify]: Simplify 0 into 0 57.803 * [backup-simplify]: Simplify 1 into 1 57.804 * [backup-simplify]: Simplify (* 1 1) into 1 57.804 * [backup-simplify]: Simplify (* 0 0) into 0 57.804 * [backup-simplify]: Simplify (+ 1 0) into 1 57.805 * [backup-simplify]: Simplify (sqrt 1) into 1 57.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 57.806 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 57.806 * [backup-simplify]: Simplify (+ 0 0) into 0 57.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.808 * [backup-simplify]: Simplify (/ 1 1) into 1 57.808 * [taylor]: Taking taylor expansion of 1/2 in x 57.808 * [backup-simplify]: Simplify 1/2 into 1/2 57.808 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.809 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 57.809 * [backup-simplify]: Simplify (sqrt 1) into 1 57.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.811 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 57.811 * [backup-simplify]: Simplify (+ 0 0) into 0 57.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.812 * [taylor]: Taking taylor expansion of 1 in x 57.812 * [backup-simplify]: Simplify 1 into 1 57.812 * [backup-simplify]: Simplify (+ 1 1) into 2 57.812 * [backup-simplify]: Simplify 2 into 2 57.813 * [backup-simplify]: Simplify (+ 0 0) into 0 57.813 * [backup-simplify]: Simplify 0 into 0 57.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 57.814 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 57.815 * [backup-simplify]: Simplify (+ 0 1) into 1 57.816 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 57.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 57.819 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 57.819 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 57.820 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 57.821 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 57.821 * [backup-simplify]: Simplify -1/8 into -1/8 57.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 57.823 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 57.823 * [backup-simplify]: Simplify (+ 0 0) into 0 57.824 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 57.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 57.827 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 57.828 * [backup-simplify]: Simplify (+ 0 0) into 0 57.829 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 57.829 * [backup-simplify]: Simplify (+ 0 0) into 0 57.829 * [backup-simplify]: Simplify 0 into 0 57.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 57.832 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 57.832 * [backup-simplify]: Simplify (+ 0 0) into 0 57.833 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 57.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 57.835 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 57.835 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 57.836 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 57.836 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 57.836 * [backup-simplify]: Simplify 11/128 into 11/128 57.836 * [backup-simplify]: Simplify (+ (* 11/128 (pow x 4)) (+ (* -1/8 (pow x 2)) 2)) into (- (+ (* 11/128 (pow x 4)) 2) (* 1/8 (pow x 2))) 57.836 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 57.836 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in (x) around 0 57.836 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 57.836 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 57.836 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 57.836 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 57.836 * [taylor]: Taking taylor expansion of 1/2 in x 57.836 * [backup-simplify]: Simplify 1/2 into 1/2 57.836 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 57.836 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 57.837 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 57.837 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 57.837 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.837 * [taylor]: Taking taylor expansion of 1 in x 57.837 * [backup-simplify]: Simplify 1 into 1 57.837 * [taylor]: Taking taylor expansion of 1 in x 57.837 * [backup-simplify]: Simplify 1 into 1 57.837 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 57.837 * [taylor]: Taking taylor expansion of (/ 1 x) in x 57.837 * [taylor]: Taking taylor expansion of x in x 57.837 * [backup-simplify]: Simplify 0 into 0 57.837 * [backup-simplify]: Simplify 1 into 1 57.837 * [backup-simplify]: Simplify (/ 1 1) into 1 57.837 * [taylor]: Taking taylor expansion of (/ 1 x) in x 57.837 * [taylor]: Taking taylor expansion of x in x 57.837 * [backup-simplify]: Simplify 0 into 0 57.837 * [backup-simplify]: Simplify 1 into 1 57.837 * [backup-simplify]: Simplify (/ 1 1) into 1 57.837 * [backup-simplify]: Simplify (* 1 1) into 1 57.838 * [backup-simplify]: Simplify (+ 0 1) into 1 57.838 * [backup-simplify]: Simplify (sqrt 1) into 1 57.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 57.840 * [backup-simplify]: Simplify (+ 0 0) into 0 57.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.840 * [backup-simplify]: Simplify (/ 1 1) into 1 57.840 * [taylor]: Taking taylor expansion of 1/2 in x 57.840 * [backup-simplify]: Simplify 1/2 into 1/2 57.841 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 57.841 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 57.841 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.841 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 57.842 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 57.842 * [taylor]: Taking taylor expansion of 1 in x 57.842 * [backup-simplify]: Simplify 1 into 1 57.842 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 57.842 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 57.842 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 57.842 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 57.842 * [taylor]: Taking taylor expansion of 1/2 in x 57.842 * [backup-simplify]: Simplify 1/2 into 1/2 57.842 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 57.842 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 57.842 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 57.842 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 57.842 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.843 * [taylor]: Taking taylor expansion of 1 in x 57.843 * [backup-simplify]: Simplify 1 into 1 57.843 * [taylor]: Taking taylor expansion of 1 in x 57.843 * [backup-simplify]: Simplify 1 into 1 57.843 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 57.843 * [taylor]: Taking taylor expansion of (/ 1 x) in x 57.843 * [taylor]: Taking taylor expansion of x in x 57.843 * [backup-simplify]: Simplify 0 into 0 57.843 * [backup-simplify]: Simplify 1 into 1 57.843 * [backup-simplify]: Simplify (/ 1 1) into 1 57.843 * [taylor]: Taking taylor expansion of (/ 1 x) in x 57.843 * [taylor]: Taking taylor expansion of x in x 57.843 * [backup-simplify]: Simplify 0 into 0 57.843 * [backup-simplify]: Simplify 1 into 1 57.843 * [backup-simplify]: Simplify (/ 1 1) into 1 57.843 * [backup-simplify]: Simplify (* 1 1) into 1 57.844 * [backup-simplify]: Simplify (+ 0 1) into 1 57.844 * [backup-simplify]: Simplify (sqrt 1) into 1 57.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 57.845 * [backup-simplify]: Simplify (+ 0 0) into 0 57.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.846 * [backup-simplify]: Simplify (/ 1 1) into 1 57.846 * [taylor]: Taking taylor expansion of 1/2 in x 57.846 * [backup-simplify]: Simplify 1/2 into 1/2 57.846 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 57.847 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 57.847 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.847 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 57.848 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 57.848 * [taylor]: Taking taylor expansion of 1 in x 57.848 * [backup-simplify]: Simplify 1 into 1 57.849 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 57.849 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 57.850 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 57.851 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 57.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.852 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 57.852 * [backup-simplify]: Simplify (+ 0 0) into 0 57.856 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 57.857 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 57.859 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 57.865 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 x) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 x)) (+ (sqrt 1/2) 1))) into (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ (sqrt 1/2) 1)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) 57.865 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 57.865 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in (x) around 0 57.865 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 57.865 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 57.865 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 57.865 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 57.865 * [taylor]: Taking taylor expansion of 1/2 in x 57.865 * [backup-simplify]: Simplify 1/2 into 1/2 57.865 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 57.865 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 57.865 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 57.865 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 57.865 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.865 * [taylor]: Taking taylor expansion of 1 in x 57.865 * [backup-simplify]: Simplify 1 into 1 57.866 * [taylor]: Taking taylor expansion of 1 in x 57.866 * [backup-simplify]: Simplify 1 into 1 57.866 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 57.866 * [taylor]: Taking taylor expansion of (/ -1 x) in x 57.866 * [taylor]: Taking taylor expansion of -1 in x 57.866 * [backup-simplify]: Simplify -1 into -1 57.866 * [taylor]: Taking taylor expansion of x in x 57.866 * [backup-simplify]: Simplify 0 into 0 57.866 * [backup-simplify]: Simplify 1 into 1 57.866 * [backup-simplify]: Simplify (/ -1 1) into -1 57.866 * [taylor]: Taking taylor expansion of (/ -1 x) in x 57.866 * [taylor]: Taking taylor expansion of -1 in x 57.866 * [backup-simplify]: Simplify -1 into -1 57.866 * [taylor]: Taking taylor expansion of x in x 57.866 * [backup-simplify]: Simplify 0 into 0 57.866 * [backup-simplify]: Simplify 1 into 1 57.867 * [backup-simplify]: Simplify (/ -1 1) into -1 57.867 * [backup-simplify]: Simplify (* -1 -1) into 1 57.868 * [backup-simplify]: Simplify (+ 0 1) into 1 57.868 * [backup-simplify]: Simplify (sqrt 1) into 1 57.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.871 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 57.871 * [backup-simplify]: Simplify (+ 0 0) into 0 57.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.872 * [backup-simplify]: Simplify (/ 1 1) into 1 57.872 * [taylor]: Taking taylor expansion of 1/2 in x 57.872 * [backup-simplify]: Simplify 1/2 into 1/2 57.873 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 57.873 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 57.873 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.874 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 57.875 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 57.875 * [taylor]: Taking taylor expansion of 1 in x 57.875 * [backup-simplify]: Simplify 1 into 1 57.875 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 57.875 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 57.875 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 57.875 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 57.875 * [taylor]: Taking taylor expansion of 1/2 in x 57.875 * [backup-simplify]: Simplify 1/2 into 1/2 57.875 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 57.876 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 57.876 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 57.876 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 57.876 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.876 * [taylor]: Taking taylor expansion of 1 in x 57.876 * [backup-simplify]: Simplify 1 into 1 57.876 * [taylor]: Taking taylor expansion of 1 in x 57.876 * [backup-simplify]: Simplify 1 into 1 57.876 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 57.876 * [taylor]: Taking taylor expansion of (/ -1 x) in x 57.876 * [taylor]: Taking taylor expansion of -1 in x 57.876 * [backup-simplify]: Simplify -1 into -1 57.876 * [taylor]: Taking taylor expansion of x in x 57.876 * [backup-simplify]: Simplify 0 into 0 57.876 * [backup-simplify]: Simplify 1 into 1 57.876 * [backup-simplify]: Simplify (/ -1 1) into -1 57.876 * [taylor]: Taking taylor expansion of (/ -1 x) in x 57.876 * [taylor]: Taking taylor expansion of -1 in x 57.876 * [backup-simplify]: Simplify -1 into -1 57.876 * [taylor]: Taking taylor expansion of x in x 57.876 * [backup-simplify]: Simplify 0 into 0 57.876 * [backup-simplify]: Simplify 1 into 1 57.877 * [backup-simplify]: Simplify (/ -1 1) into -1 57.877 * [backup-simplify]: Simplify (* -1 -1) into 1 57.878 * [backup-simplify]: Simplify (+ 0 1) into 1 57.878 * [backup-simplify]: Simplify (sqrt 1) into 1 57.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.880 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 57.881 * [backup-simplify]: Simplify (+ 0 0) into 0 57.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.882 * [backup-simplify]: Simplify (/ 1 1) into 1 57.882 * [taylor]: Taking taylor expansion of 1/2 in x 57.882 * [backup-simplify]: Simplify 1/2 into 1/2 57.882 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 57.883 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 57.883 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.884 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 57.885 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 57.885 * [taylor]: Taking taylor expansion of 1 in x 57.885 * [backup-simplify]: Simplify 1 into 1 57.886 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 57.887 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 57.889 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 57.890 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 57.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.897 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 57.898 * [backup-simplify]: Simplify (+ 0 0) into 0 57.904 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 57.906 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 57.910 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 57.915 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 (- x)) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 (- x))) (+ (sqrt 1/2) 1))) into (- (+ (sqrt 1/2) 1) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 57.915 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 57.915 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 57.915 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in (x) around 0 57.915 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 57.915 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 57.915 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 57.915 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 57.915 * [taylor]: Taking taylor expansion of 1/2 in x 57.916 * [backup-simplify]: Simplify 1/2 into 1/2 57.916 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 57.916 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 57.916 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 57.916 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 57.916 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.916 * [taylor]: Taking taylor expansion of 1 in x 57.916 * [backup-simplify]: Simplify 1 into 1 57.916 * [taylor]: Taking taylor expansion of 1 in x 57.916 * [backup-simplify]: Simplify 1 into 1 57.916 * [taylor]: Taking taylor expansion of (* x x) in x 57.916 * [taylor]: Taking taylor expansion of x in x 57.916 * [backup-simplify]: Simplify 0 into 0 57.916 * [backup-simplify]: Simplify 1 into 1 57.916 * [taylor]: Taking taylor expansion of x in x 57.916 * [backup-simplify]: Simplify 0 into 0 57.916 * [backup-simplify]: Simplify 1 into 1 57.916 * [backup-simplify]: Simplify (* 1 1) into 1 57.917 * [backup-simplify]: Simplify (* 0 0) into 0 57.917 * [backup-simplify]: Simplify (+ 1 0) into 1 57.917 * [backup-simplify]: Simplify (sqrt 1) into 1 57.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 57.919 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 57.919 * [backup-simplify]: Simplify (+ 0 0) into 0 57.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.920 * [backup-simplify]: Simplify (/ 1 1) into 1 57.920 * [taylor]: Taking taylor expansion of 1/2 in x 57.920 * [backup-simplify]: Simplify 1/2 into 1/2 57.920 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.921 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 57.921 * [backup-simplify]: Simplify (sqrt 1) into 1 57.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.922 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 57.922 * [backup-simplify]: Simplify (+ 0 0) into 0 57.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.923 * [taylor]: Taking taylor expansion of 1 in x 57.923 * [backup-simplify]: Simplify 1 into 1 57.923 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 57.923 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 57.923 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 57.923 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 57.923 * [taylor]: Taking taylor expansion of 1/2 in x 57.923 * [backup-simplify]: Simplify 1/2 into 1/2 57.923 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 57.923 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 57.923 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 57.923 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 57.923 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.923 * [taylor]: Taking taylor expansion of 1 in x 57.923 * [backup-simplify]: Simplify 1 into 1 57.923 * [taylor]: Taking taylor expansion of 1 in x 57.923 * [backup-simplify]: Simplify 1 into 1 57.923 * [taylor]: Taking taylor expansion of (* x x) in x 57.923 * [taylor]: Taking taylor expansion of x in x 57.923 * [backup-simplify]: Simplify 0 into 0 57.923 * [backup-simplify]: Simplify 1 into 1 57.923 * [taylor]: Taking taylor expansion of x in x 57.923 * [backup-simplify]: Simplify 0 into 0 57.923 * [backup-simplify]: Simplify 1 into 1 57.923 * [backup-simplify]: Simplify (* 1 1) into 1 57.924 * [backup-simplify]: Simplify (* 0 0) into 0 57.924 * [backup-simplify]: Simplify (+ 1 0) into 1 57.924 * [backup-simplify]: Simplify (sqrt 1) into 1 57.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 57.925 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 57.925 * [backup-simplify]: Simplify (+ 0 0) into 0 57.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.926 * [backup-simplify]: Simplify (/ 1 1) into 1 57.926 * [taylor]: Taking taylor expansion of 1/2 in x 57.926 * [backup-simplify]: Simplify 1/2 into 1/2 57.926 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.927 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 57.927 * [backup-simplify]: Simplify (sqrt 1) into 1 57.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.928 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 57.928 * [backup-simplify]: Simplify (+ 0 0) into 0 57.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.929 * [taylor]: Taking taylor expansion of 1 in x 57.929 * [backup-simplify]: Simplify 1 into 1 57.929 * [backup-simplify]: Simplify (+ 1 1) into 2 57.929 * [backup-simplify]: Simplify 2 into 2 57.929 * [backup-simplify]: Simplify (+ 0 0) into 0 57.929 * [backup-simplify]: Simplify 0 into 0 57.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 57.930 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 57.930 * [backup-simplify]: Simplify (+ 0 1) into 1 57.931 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 57.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 57.932 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 57.932 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 57.933 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 57.933 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 57.933 * [backup-simplify]: Simplify -1/8 into -1/8 57.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 57.935 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 57.935 * [backup-simplify]: Simplify (+ 0 0) into 0 57.936 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 57.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 57.937 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 57.937 * [backup-simplify]: Simplify (+ 0 0) into 0 57.938 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 57.938 * [backup-simplify]: Simplify (+ 0 0) into 0 57.938 * [backup-simplify]: Simplify 0 into 0 57.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 57.940 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 57.940 * [backup-simplify]: Simplify (+ 0 0) into 0 57.941 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 57.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 57.943 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 57.943 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 57.944 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 57.944 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 57.944 * [backup-simplify]: Simplify 11/128 into 11/128 57.944 * [backup-simplify]: Simplify (+ (* 11/128 (pow x 4)) (+ (* -1/8 (pow x 2)) 2)) into (- (+ (* 11/128 (pow x 4)) 2) (* 1/8 (pow x 2))) 57.944 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 57.944 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in (x) around 0 57.944 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 57.944 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 57.944 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 57.944 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 57.944 * [taylor]: Taking taylor expansion of 1/2 in x 57.945 * [backup-simplify]: Simplify 1/2 into 1/2 57.945 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 57.945 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 57.945 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 57.945 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 57.945 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.945 * [taylor]: Taking taylor expansion of 1 in x 57.945 * [backup-simplify]: Simplify 1 into 1 57.945 * [taylor]: Taking taylor expansion of 1 in x 57.945 * [backup-simplify]: Simplify 1 into 1 57.945 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 57.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 57.945 * [taylor]: Taking taylor expansion of x in x 57.945 * [backup-simplify]: Simplify 0 into 0 57.945 * [backup-simplify]: Simplify 1 into 1 57.945 * [backup-simplify]: Simplify (/ 1 1) into 1 57.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 57.945 * [taylor]: Taking taylor expansion of x in x 57.945 * [backup-simplify]: Simplify 0 into 0 57.945 * [backup-simplify]: Simplify 1 into 1 57.945 * [backup-simplify]: Simplify (/ 1 1) into 1 57.946 * [backup-simplify]: Simplify (* 1 1) into 1 57.946 * [backup-simplify]: Simplify (+ 0 1) into 1 57.946 * [backup-simplify]: Simplify (sqrt 1) into 1 57.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 57.948 * [backup-simplify]: Simplify (+ 0 0) into 0 57.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.949 * [backup-simplify]: Simplify (/ 1 1) into 1 57.949 * [taylor]: Taking taylor expansion of 1/2 in x 57.949 * [backup-simplify]: Simplify 1/2 into 1/2 57.949 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 57.950 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 57.950 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.951 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 57.952 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 57.952 * [taylor]: Taking taylor expansion of 1 in x 57.952 * [backup-simplify]: Simplify 1 into 1 57.952 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 57.952 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 57.952 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 57.952 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 57.952 * [taylor]: Taking taylor expansion of 1/2 in x 57.952 * [backup-simplify]: Simplify 1/2 into 1/2 57.952 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 57.952 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 57.952 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 57.952 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 57.952 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.953 * [taylor]: Taking taylor expansion of 1 in x 57.953 * [backup-simplify]: Simplify 1 into 1 57.953 * [taylor]: Taking taylor expansion of 1 in x 57.953 * [backup-simplify]: Simplify 1 into 1 57.953 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 57.953 * [taylor]: Taking taylor expansion of (/ 1 x) in x 57.953 * [taylor]: Taking taylor expansion of x in x 57.953 * [backup-simplify]: Simplify 0 into 0 57.953 * [backup-simplify]: Simplify 1 into 1 57.953 * [backup-simplify]: Simplify (/ 1 1) into 1 57.953 * [taylor]: Taking taylor expansion of (/ 1 x) in x 57.953 * [taylor]: Taking taylor expansion of x in x 57.953 * [backup-simplify]: Simplify 0 into 0 57.953 * [backup-simplify]: Simplify 1 into 1 57.954 * [backup-simplify]: Simplify (/ 1 1) into 1 57.954 * [backup-simplify]: Simplify (* 1 1) into 1 57.954 * [backup-simplify]: Simplify (+ 0 1) into 1 57.955 * [backup-simplify]: Simplify (sqrt 1) into 1 57.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 57.957 * [backup-simplify]: Simplify (+ 0 0) into 0 57.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.958 * [backup-simplify]: Simplify (/ 1 1) into 1 57.958 * [taylor]: Taking taylor expansion of 1/2 in x 57.958 * [backup-simplify]: Simplify 1/2 into 1/2 57.959 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 57.959 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 57.960 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.960 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 57.962 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 57.962 * [taylor]: Taking taylor expansion of 1 in x 57.962 * [backup-simplify]: Simplify 1 into 1 57.963 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 57.964 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 57.965 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 57.967 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 57.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 57.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 57.969 * [backup-simplify]: Simplify (+ 0 0) into 0 57.974 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 57.977 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 57.981 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 57.985 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 x) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 x)) (+ (sqrt 1/2) 1))) into (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ (sqrt 1/2) 1)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) 57.985 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 57.985 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in (x) around 0 57.985 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 57.985 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 57.985 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 57.985 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 57.985 * [taylor]: Taking taylor expansion of 1/2 in x 57.986 * [backup-simplify]: Simplify 1/2 into 1/2 57.986 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 57.986 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 57.986 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 57.986 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 57.986 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.986 * [taylor]: Taking taylor expansion of 1 in x 57.986 * [backup-simplify]: Simplify 1 into 1 57.986 * [taylor]: Taking taylor expansion of 1 in x 57.986 * [backup-simplify]: Simplify 1 into 1 57.986 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 57.986 * [taylor]: Taking taylor expansion of (/ -1 x) in x 57.986 * [taylor]: Taking taylor expansion of -1 in x 57.986 * [backup-simplify]: Simplify -1 into -1 57.986 * [taylor]: Taking taylor expansion of x in x 57.986 * [backup-simplify]: Simplify 0 into 0 57.986 * [backup-simplify]: Simplify 1 into 1 57.986 * [backup-simplify]: Simplify (/ -1 1) into -1 57.986 * [taylor]: Taking taylor expansion of (/ -1 x) in x 57.986 * [taylor]: Taking taylor expansion of -1 in x 57.986 * [backup-simplify]: Simplify -1 into -1 57.986 * [taylor]: Taking taylor expansion of x in x 57.986 * [backup-simplify]: Simplify 0 into 0 57.986 * [backup-simplify]: Simplify 1 into 1 57.987 * [backup-simplify]: Simplify (/ -1 1) into -1 57.987 * [backup-simplify]: Simplify (* -1 -1) into 1 57.987 * [backup-simplify]: Simplify (+ 0 1) into 1 57.987 * [backup-simplify]: Simplify (sqrt 1) into 1 57.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.989 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 57.989 * [backup-simplify]: Simplify (+ 0 0) into 0 57.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.990 * [backup-simplify]: Simplify (/ 1 1) into 1 57.990 * [taylor]: Taking taylor expansion of 1/2 in x 57.990 * [backup-simplify]: Simplify 1/2 into 1/2 57.990 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 57.990 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 57.990 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.991 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 57.992 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 57.992 * [taylor]: Taking taylor expansion of 1 in x 57.992 * [backup-simplify]: Simplify 1 into 1 57.992 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 57.992 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 57.992 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 57.992 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 57.992 * [taylor]: Taking taylor expansion of 1/2 in x 57.992 * [backup-simplify]: Simplify 1/2 into 1/2 57.992 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 57.992 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 57.992 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 57.992 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 57.992 * [taylor]: Taking taylor expansion of (* 1 1) in x 57.992 * [taylor]: Taking taylor expansion of 1 in x 57.992 * [backup-simplify]: Simplify 1 into 1 57.992 * [taylor]: Taking taylor expansion of 1 in x 57.992 * [backup-simplify]: Simplify 1 into 1 57.992 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 57.992 * [taylor]: Taking taylor expansion of (/ -1 x) in x 57.992 * [taylor]: Taking taylor expansion of -1 in x 57.992 * [backup-simplify]: Simplify -1 into -1 57.992 * [taylor]: Taking taylor expansion of x in x 57.992 * [backup-simplify]: Simplify 0 into 0 57.992 * [backup-simplify]: Simplify 1 into 1 57.992 * [backup-simplify]: Simplify (/ -1 1) into -1 57.992 * [taylor]: Taking taylor expansion of (/ -1 x) in x 57.992 * [taylor]: Taking taylor expansion of -1 in x 57.992 * [backup-simplify]: Simplify -1 into -1 57.992 * [taylor]: Taking taylor expansion of x in x 57.992 * [backup-simplify]: Simplify 0 into 0 57.992 * [backup-simplify]: Simplify 1 into 1 57.993 * [backup-simplify]: Simplify (/ -1 1) into -1 57.993 * [backup-simplify]: Simplify (* -1 -1) into 1 57.993 * [backup-simplify]: Simplify (+ 0 1) into 1 57.993 * [backup-simplify]: Simplify (sqrt 1) into 1 57.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 57.995 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 57.995 * [backup-simplify]: Simplify (+ 0 0) into 0 57.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 57.996 * [backup-simplify]: Simplify (/ 1 1) into 1 57.996 * [taylor]: Taking taylor expansion of 1/2 in x 57.996 * [backup-simplify]: Simplify 1/2 into 1/2 57.996 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 57.996 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 57.996 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 57.997 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 57.998 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 57.998 * [taylor]: Taking taylor expansion of 1 in x 57.998 * [backup-simplify]: Simplify 1 into 1 57.998 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 57.999 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 58.000 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 58.001 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 58.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 58.001 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 58.002 * [backup-simplify]: Simplify (+ 0 0) into 0 58.009 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 58.011 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 58.015 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 58.020 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 (- x)) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 (- x))) (+ (sqrt 1/2) 1))) into (- (+ (sqrt 1/2) 1) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 58.021 * * * [progress]: simplifying candidates 58.021 * * * * [progress]: [ 1 / 2246 ] simplifiying candidate # 58.021 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 58.021 * * [simplify]: iters left: 6 (17 enodes) 58.030 * * [simplify]: iters left: 5 (66 enodes) 58.044 * * [simplify]: iters left: 4 (92 enodes) 58.059 * * [simplify]: iters left: 3 (129 enodes) 58.097 * * [simplify]: iters left: 2 (184 enodes) 58.160 * * [simplify]: iters left: 1 (302 enodes) 58.256 * * [simplify]: Extracting #0: cost 1 inf + 0 58.256 * * [simplify]: Extracting #1: cost 20 inf + 0 58.257 * * [simplify]: Extracting #2: cost 109 inf + 0 58.258 * * [simplify]: Extracting #3: cost 148 inf + 6 58.259 * * [simplify]: Extracting #4: cost 147 inf + 164 58.260 * * [simplify]: Extracting #5: cost 140 inf + 1050 58.263 * * [simplify]: Extracting #6: cost 124 inf + 4986 58.272 * * [simplify]: Extracting #7: cost 73 inf + 32729 58.298 * * [simplify]: Extracting #8: cost 4 inf + 79688 58.317 * * [simplify]: Extracting #9: cost 0 inf + 83390 58.332 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 58.332 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 58.332 * [simplify]: Simplifying (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 58.332 * * [simplify]: iters left: 6 (14 enodes) 58.336 * * [simplify]: iters left: 5 (53 enodes) 58.354 * * [simplify]: iters left: 4 (76 enodes) 58.378 * * [simplify]: iters left: 3 (134 enodes) 58.407 * * [simplify]: iters left: 2 (194 enodes) 58.464 * * [simplify]: iters left: 1 (293 enodes) 58.527 * * [simplify]: Extracting #0: cost 1 inf + 0 58.527 * * [simplify]: Extracting #1: cost 0 inf + 1 58.527 * [simplify]: Simplified to 0 58.527 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 58.528 * * * * [progress]: [ 2 / 2246 ] simplifiying candidate # 58.528 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 58.528 * * [simplify]: iters left: 6 (16 enodes) 58.533 * * [simplify]: iters left: 5 (57 enodes) 58.550 * * [simplify]: iters left: 4 (76 enodes) 58.567 * * [simplify]: iters left: 3 (94 enodes) 58.585 * * [simplify]: iters left: 2 (111 enodes) 58.613 * * [simplify]: iters left: 1 (171 enodes) 58.651 * * [simplify]: Extracting #0: cost 1 inf + 0 58.651 * * [simplify]: Extracting #1: cost 12 inf + 0 58.652 * * [simplify]: Extracting #2: cost 55 inf + 0 58.652 * * [simplify]: Extracting #3: cost 78 inf + 5 58.653 * * [simplify]: Extracting #4: cost 75 inf + 415 58.654 * * [simplify]: Extracting #5: cost 63 inf + 3254 58.659 * * [simplify]: Extracting #6: cost 28 inf + 17014 58.670 * * [simplify]: Extracting #7: cost 4 inf + 28721 58.681 * * [simplify]: Extracting #8: cost 0 inf + 31397 58.687 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 58.687 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 58.687 * [simplify]: Simplifying (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 58.688 * * [simplify]: iters left: 6 (13 enodes) 58.693 * * [simplify]: iters left: 5 (45 enodes) 58.701 * * [simplify]: iters left: 4 (60 enodes) 58.712 * * [simplify]: iters left: 3 (85 enodes) 58.737 * * [simplify]: iters left: 2 (102 enodes) 58.754 * * [simplify]: iters left: 1 (126 enodes) 58.771 * * [simplify]: Extracting #0: cost 1 inf + 0 58.771 * * [simplify]: Extracting #1: cost 0 inf + 1 58.771 * [simplify]: Simplified to 0 58.771 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 58.771 * * * * [progress]: [ 3 / 2246 ] simplifiying candidate # 58.772 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))) 58.772 * * [simplify]: iters left: 6 (20 enodes) 58.777 * * [simplify]: iters left: 5 (80 enodes) 58.805 * * [simplify]: iters left: 4 (159 enodes) 58.871 * * [simplify]: iters left: 3 (319 enodes) 59.008 * * [simplify]: iters left: 2 (494 enodes) 59.246 * * [simplify]: Extracting #0: cost 1 inf + 0 59.246 * * [simplify]: Extracting #1: cost 13 inf + 0 59.247 * * [simplify]: Extracting #2: cost 89 inf + 0 59.247 * * [simplify]: Extracting #3: cost 145 inf + 2 59.248 * * [simplify]: Extracting #4: cost 146 inf + 6 59.249 * * [simplify]: Extracting #5: cost 143 inf + 163 59.251 * * [simplify]: Extracting #6: cost 126 inf + 3912 59.263 * * [simplify]: Extracting #7: cost 61 inf + 32790 59.291 * * [simplify]: Extracting #8: cost 4 inf + 61566 59.323 * * [simplify]: Extracting #9: cost 0 inf + 64280 59.353 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 59.353 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))))) 59.354 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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)))))))) 59.354 * * [simplify]: iters left: 6 (17 enodes) 59.363 * * [simplify]: iters left: 5 (69 enodes) 59.378 * * [simplify]: iters left: 4 (135 enodes) 59.410 * * [simplify]: iters left: 3 (301 enodes) 59.478 * * [simplify]: Extracting #0: cost 1 inf + 0 59.478 * * [simplify]: Extracting #1: cost 0 inf + 1 59.478 * [simplify]: Simplified to 0 59.478 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 59.478 * * * * [progress]: [ 4 / 2246 ] simplifiying candidate # 59.478 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 59.478 * * [simplify]: iters left: 6 (19 enodes) 59.483 * * [simplify]: iters left: 5 (74 enodes) 59.496 * * [simplify]: iters left: 4 (122 enodes) 59.518 * * [simplify]: iters left: 3 (190 enodes) 59.551 * * [simplify]: iters left: 2 (261 enodes) 59.630 * * [simplify]: iters left: 1 (343 enodes) 59.730 * * [simplify]: Extracting #0: cost 1 inf + 0 59.730 * * [simplify]: Extracting #1: cost 13 inf + 0 59.730 * * [simplify]: Extracting #2: cost 67 inf + 0 59.730 * * [simplify]: Extracting #3: cost 112 inf + 3 59.731 * * [simplify]: Extracting #4: cost 108 inf + 317 59.732 * * [simplify]: Extracting #5: cost 92 inf + 4381 59.735 * * [simplify]: Extracting #6: cost 37 inf + 25849 59.748 * * [simplify]: Extracting #7: cost 2 inf + 43035 59.766 * * [simplify]: Extracting #8: cost 0 inf + 44173 59.785 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 59.785 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 59.785 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 59.786 * * [simplify]: iters left: 6 (16 enodes) 59.794 * * [simplify]: iters left: 5 (63 enodes) 59.815 * * [simplify]: iters left: 4 (100 enodes) 59.838 * * [simplify]: iters left: 3 (175 enodes) 59.882 * * [simplify]: iters left: 2 (267 enodes) 59.959 * * [simplify]: iters left: 1 (373 enodes) 60.031 * * [simplify]: Extracting #0: cost 1 inf + 0 60.031 * * [simplify]: Extracting #1: cost 0 inf + 1 60.031 * [simplify]: Simplified to 0 60.031 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 0))) 60.031 * * * * [progress]: [ 5 / 2246 ] simplifiying candidate # 60.031 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 60.032 * * [simplify]: iters left: 6 (18 enodes) 60.036 * * [simplify]: iters left: 5 (69 enodes) 60.049 * * [simplify]: iters left: 4 (123 enodes) 60.096 * * [simplify]: iters left: 3 (213 enodes) 60.199 * * [simplify]: iters left: 2 (376 enodes) 60.342 * * [simplify]: Extracting #0: cost 1 inf + 0 60.342 * * [simplify]: Extracting #1: cost 13 inf + 0 60.342 * * [simplify]: Extracting #2: cost 65 inf + 0 60.343 * * [simplify]: Extracting #3: cost 113 inf + 4 60.344 * * [simplify]: Extracting #4: cost 113 inf + 121 60.345 * * [simplify]: Extracting #5: cost 106 inf + 1208 60.352 * * [simplify]: Extracting #6: cost 41 inf + 25486 60.371 * * [simplify]: Extracting #7: cost 1 inf + 41902 60.385 * * [simplify]: Extracting #8: cost 0 inf + 42451 60.394 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 60.394 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))))) 60.395 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1))) 60.395 * * [simplify]: iters left: 6 (15 enodes) 60.399 * * [simplify]: iters left: 5 (58 enodes) 60.410 * * [simplify]: iters left: 4 (100 enodes) 60.430 * * [simplify]: iters left: 3 (192 enodes) 60.479 * * [simplify]: iters left: 2 (333 enodes) 60.612 * * [simplify]: Extracting #0: cost 1 inf + 0 60.612 * * [simplify]: Extracting #1: cost 0 inf + 1 60.612 * [simplify]: Simplified to 0 60.612 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 60.612 * * * * [progress]: [ 6 / 2246 ] simplifiying candidate # 60.613 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 60.613 * * [simplify]: iters left: 6 (20 enodes) 60.625 * * [simplify]: iters left: 5 (78 enodes) 60.654 * * [simplify]: iters left: 4 (116 enodes) 60.683 * * [simplify]: iters left: 3 (197 enodes) 60.737 * * [simplify]: iters left: 2 (312 enodes) 60.823 * * [simplify]: iters left: 1 (423 enodes) 60.975 * * [simplify]: Extracting #0: cost 1 inf + 0 60.975 * * [simplify]: Extracting #1: cost 11 inf + 0 60.975 * * [simplify]: Extracting #2: cost 63 inf + 0 60.976 * * [simplify]: Extracting #3: cost 113 inf + 4 60.977 * * [simplify]: Extracting #4: cost 113 inf + 219 60.978 * * [simplify]: Extracting #5: cost 109 inf + 732 60.982 * * [simplify]: Extracting #6: cost 59 inf + 18285 61.001 * * [simplify]: Extracting #7: cost 9 inf + 40653 61.018 * * [simplify]: Extracting #8: cost 0 inf + 44608 61.030 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 61.030 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))))) 61.031 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)))) 61.031 * * [simplify]: iters left: 6 (16 enodes) 61.037 * * [simplify]: iters left: 5 (63 enodes) 61.047 * * [simplify]: iters left: 4 (94 enodes) 61.069 * * [simplify]: iters left: 3 (179 enodes) 61.130 * * [simplify]: iters left: 2 (303 enodes) 61.221 * * [simplify]: iters left: 1 (423 enodes) 61.407 * * [simplify]: Extracting #0: cost 1 inf + 0 61.408 * * [simplify]: Extracting #1: cost 0 inf + 1 61.408 * [simplify]: Simplified to 0 61.408 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 61.408 * * * * [progress]: [ 7 / 2246 ] simplifiying candidate # 61.408 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 61.409 * * [simplify]: iters left: 6 (20 enodes) 61.420 * * [simplify]: iters left: 5 (78 enodes) 61.444 * * [simplify]: iters left: 4 (116 enodes) 61.477 * * [simplify]: iters left: 3 (197 enodes) 61.529 * * [simplify]: iters left: 2 (312 enodes) 61.654 * * [simplify]: iters left: 1 (423 enodes) 61.813 * * [simplify]: Extracting #0: cost 1 inf + 0 61.813 * * [simplify]: Extracting #1: cost 11 inf + 0 61.813 * * [simplify]: Extracting #2: cost 63 inf + 0 61.814 * * [simplify]: Extracting #3: cost 113 inf + 4 61.814 * * [simplify]: Extracting #4: cost 113 inf + 219 61.815 * * [simplify]: Extracting #5: cost 109 inf + 732 61.817 * * [simplify]: Extracting #6: cost 59 inf + 18285 61.824 * * [simplify]: Extracting #7: cost 9 inf + 40653 61.838 * * [simplify]: Extracting #8: cost 0 inf + 44608 61.854 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 61.854 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))))) 61.854 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)))) 61.855 * * [simplify]: iters left: 6 (16 enodes) 61.860 * * [simplify]: iters left: 5 (63 enodes) 61.871 * * [simplify]: iters left: 4 (94 enodes) 61.891 * * [simplify]: iters left: 3 (179 enodes) 61.936 * * [simplify]: iters left: 2 (303 enodes) 62.029 * * [simplify]: iters left: 1 (423 enodes) 62.170 * * [simplify]: Extracting #0: cost 1 inf + 0 62.170 * * [simplify]: Extracting #1: cost 0 inf + 1 62.170 * [simplify]: Simplified to 0 62.170 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 62.170 * * * * [progress]: [ 8 / 2246 ] simplifiying candidate # 62.171 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 62.171 * * [simplify]: iters left: 6 (18 enodes) 62.175 * * [simplify]: iters left: 5 (69 enodes) 62.188 * * [simplify]: iters left: 4 (123 enodes) 62.237 * * [simplify]: iters left: 3 (213 enodes) 62.320 * * [simplify]: iters left: 2 (376 enodes) 62.502 * * [simplify]: Extracting #0: cost 1 inf + 0 62.502 * * [simplify]: Extracting #1: cost 13 inf + 0 62.503 * * [simplify]: Extracting #2: cost 65 inf + 0 62.504 * * [simplify]: Extracting #3: cost 113 inf + 4 62.505 * * [simplify]: Extracting #4: cost 113 inf + 121 62.506 * * [simplify]: Extracting #5: cost 106 inf + 1208 62.510 * * [simplify]: Extracting #6: cost 41 inf + 25486 62.518 * * [simplify]: Extracting #7: cost 1 inf + 41902 62.526 * * [simplify]: Extracting #8: cost 0 inf + 42451 62.535 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 62.535 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))))) 62.535 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1))) 62.535 * * [simplify]: iters left: 6 (15 enodes) 62.539 * * [simplify]: iters left: 5 (58 enodes) 62.560 * * [simplify]: iters left: 4 (100 enodes) 62.599 * * [simplify]: iters left: 3 (192 enodes) 62.680 * * [simplify]: iters left: 2 (333 enodes) 62.783 * * [simplify]: Extracting #0: cost 1 inf + 0 62.783 * * [simplify]: Extracting #1: cost 0 inf + 1 62.783 * [simplify]: Simplified to 0 62.783 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 62.784 * * * * [progress]: [ 9 / 2246 ] simplifiying candidate # 62.784 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 62.784 * * [simplify]: iters left: 6 (19 enodes) 62.793 * * [simplify]: iters left: 5 (73 enodes) 62.817 * * [simplify]: iters left: 4 (120 enodes) 62.855 * * [simplify]: iters left: 3 (172 enodes) 62.899 * * [simplify]: iters left: 2 (232 enodes) 62.947 * * [simplify]: iters left: 1 (293 enodes) 63.010 * * [simplify]: Extracting #0: cost 1 inf + 0 63.010 * * [simplify]: Extracting #1: cost 11 inf + 0 63.010 * * [simplify]: Extracting #2: cost 51 inf + 0 63.010 * * [simplify]: Extracting #3: cost 78 inf + 3 63.011 * * [simplify]: Extracting #4: cost 83 inf + 5 63.011 * * [simplify]: Extracting #5: cost 75 inf + 829 63.012 * * [simplify]: Extracting #6: cost 60 inf + 4084 63.015 * * [simplify]: Extracting #7: cost 35 inf + 12784 63.022 * * [simplify]: Extracting #8: cost 3 inf + 25846 63.033 * * [simplify]: Extracting #9: cost 0 inf + 27279 63.047 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 63.047 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 63.048 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 63.049 * * [simplify]: iters left: 6 (16 enodes) 63.056 * * [simplify]: iters left: 5 (62 enodes) 63.066 * * [simplify]: iters left: 4 (99 enodes) 63.083 * * [simplify]: iters left: 3 (150 enodes) 63.125 * * [simplify]: iters left: 2 (222 enodes) 63.169 * * [simplify]: iters left: 1 (302 enodes) 63.252 * * [simplify]: Extracting #0: cost 1 inf + 0 63.252 * * [simplify]: Extracting #1: cost 0 inf + 1 63.252 * [simplify]: Simplified to 0 63.252 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 63.252 * * * * [progress]: [ 10 / 2246 ] simplifiying candidate # 63.252 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 63.252 * * [simplify]: iters left: 6 (17 enodes) 63.257 * * [simplify]: iters left: 5 (64 enodes) 63.267 * * [simplify]: iters left: 4 (91 enodes) 63.293 * * [simplify]: iters left: 3 (120 enodes) 63.332 * * [simplify]: iters left: 2 (156 enodes) 63.358 * * [simplify]: iters left: 1 (193 enodes) 63.397 * * [simplify]: Extracting #0: cost 1 inf + 0 63.397 * * [simplify]: Extracting #1: cost 16 inf + 0 63.397 * * [simplify]: Extracting #2: cost 50 inf + 0 63.398 * * [simplify]: Extracting #3: cost 65 inf + 4 63.398 * * [simplify]: Extracting #4: cost 68 inf + 6 63.399 * * [simplify]: Extracting #5: cost 52 inf + 2718 63.404 * * [simplify]: Extracting #6: cost 16 inf + 15324 63.410 * * [simplify]: Extracting #7: cost 1 inf + 21026 63.415 * * [simplify]: Extracting #8: cost 0 inf + 21403 63.421 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 63.421 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 63.422 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 63.422 * * [simplify]: iters left: 6 (14 enodes) 63.426 * * [simplify]: iters left: 5 (54 enodes) 63.435 * * [simplify]: iters left: 4 (77 enodes) 63.458 * * [simplify]: iters left: 3 (106 enodes) 63.489 * * [simplify]: iters left: 2 (137 enodes) 63.528 * * [simplify]: iters left: 1 (167 enodes) 63.566 * * [simplify]: Extracting #0: cost 1 inf + 0 63.566 * * [simplify]: Extracting #1: cost 0 inf + 1 63.566 * [simplify]: Simplified to 0 63.566 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 63.566 * * * * [progress]: [ 11 / 2246 ] simplifiying candidate # 63.566 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 63.567 * * [simplify]: iters left: 6 (17 enodes) 63.571 * * [simplify]: iters left: 5 (64 enodes) 63.581 * * [simplify]: iters left: 4 (95 enodes) 63.611 * * [simplify]: iters left: 3 (146 enodes) 63.641 * * [simplify]: iters left: 2 (193 enodes) 63.704 * * [simplify]: iters left: 1 (262 enodes) 63.794 * * [simplify]: Extracting #0: cost 1 inf + 0 63.795 * * [simplify]: Extracting #1: cost 11 inf + 0 63.795 * * [simplify]: Extracting #2: cost 56 inf + 0 63.795 * * [simplify]: Extracting #3: cost 78 inf + 4 63.797 * * [simplify]: Extracting #4: cost 72 inf + 1167 63.799 * * [simplify]: Extracting #5: cost 55 inf + 5597 63.808 * * [simplify]: Extracting #6: cost 17 inf + 19028 63.819 * * [simplify]: Extracting #7: cost 0 inf + 27668 63.831 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 63.831 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))))) 63.831 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1))) 63.832 * * [simplify]: iters left: 6 (14 enodes) 63.839 * * [simplify]: iters left: 5 (53 enodes) 63.856 * * [simplify]: iters left: 4 (78 enodes) 63.878 * * [simplify]: iters left: 3 (126 enodes) 63.899 * * [simplify]: iters left: 2 (171 enodes) 63.960 * * [simplify]: iters left: 1 (225 enodes) 63.996 * * [simplify]: Extracting #0: cost 1 inf + 0 63.996 * * [simplify]: Extracting #1: cost 0 inf + 1 63.997 * [simplify]: Simplified to 0 63.997 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 63.997 * * * * [progress]: [ 12 / 2246 ] simplifiying candidate # 63.997 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 63.997 * * [simplify]: iters left: 6 (19 enodes) 64.003 * * [simplify]: iters left: 5 (73 enodes) 64.020 * * [simplify]: iters left: 4 (101 enodes) 64.046 * * [simplify]: iters left: 3 (140 enodes) 64.066 * * [simplify]: iters left: 2 (184 enodes) 64.098 * * [simplify]: iters left: 1 (229 enodes) 64.150 * * [simplify]: Extracting #0: cost 1 inf + 0 64.150 * * [simplify]: Extracting #1: cost 11 inf + 0 64.150 * * [simplify]: Extracting #2: cost 54 inf + 0 64.150 * * [simplify]: Extracting #3: cost 69 inf + 4 64.151 * * [simplify]: Extracting #4: cost 64 inf + 553 64.151 * * [simplify]: Extracting #5: cost 49 inf + 3884 64.153 * * [simplify]: Extracting #6: cost 33 inf + 7984 64.158 * * [simplify]: Extracting #7: cost 23 inf + 10853 64.166 * * [simplify]: Extracting #8: cost 9 inf + 16949 64.175 * * [simplify]: Extracting #9: cost 0 inf + 22421 64.184 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 64.185 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))))) 64.185 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)))) 64.185 * * [simplify]: iters left: 6 (15 enodes) 64.191 * * [simplify]: iters left: 5 (58 enodes) 64.203 * * [simplify]: iters left: 4 (84 enodes) 64.217 * * [simplify]: iters left: 3 (133 enodes) 64.237 * * [simplify]: iters left: 2 (175 enodes) 64.272 * * [simplify]: iters left: 1 (209 enodes) 64.326 * * [simplify]: Extracting #0: cost 1 inf + 0 64.326 * * [simplify]: Extracting #1: cost 0 inf + 1 64.326 * [simplify]: Simplified to 0 64.326 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 0))) 64.326 * * * * [progress]: [ 13 / 2246 ] simplifiying candidate # 64.326 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 64.327 * * [simplify]: iters left: 6 (19 enodes) 64.332 * * [simplify]: iters left: 5 (73 enodes) 64.343 * * [simplify]: iters left: 4 (101 enodes) 64.366 * * [simplify]: iters left: 3 (140 enodes) 64.409 * * [simplify]: iters left: 2 (184 enodes) 64.448 * * [simplify]: iters left: 1 (229 enodes) 64.498 * * [simplify]: Extracting #0: cost 1 inf + 0 64.498 * * [simplify]: Extracting #1: cost 11 inf + 0 64.498 * * [simplify]: Extracting #2: cost 54 inf + 0 64.498 * * [simplify]: Extracting #3: cost 69 inf + 4 64.499 * * [simplify]: Extracting #4: cost 64 inf + 553 64.500 * * [simplify]: Extracting #5: cost 49 inf + 3884 64.502 * * [simplify]: Extracting #6: cost 33 inf + 7984 64.505 * * [simplify]: Extracting #7: cost 23 inf + 10853 64.508 * * [simplify]: Extracting #8: cost 9 inf + 16949 64.515 * * [simplify]: Extracting #9: cost 0 inf + 22421 64.524 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 64.525 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))))) 64.525 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)))) 64.525 * * [simplify]: iters left: 6 (15 enodes) 64.533 * * [simplify]: iters left: 5 (58 enodes) 64.552 * * [simplify]: iters left: 4 (84 enodes) 64.579 * * [simplify]: iters left: 3 (133 enodes) 64.617 * * [simplify]: iters left: 2 (175 enodes) 64.667 * * [simplify]: iters left: 1 (209 enodes) 64.706 * * [simplify]: Extracting #0: cost 1 inf + 0 64.706 * * [simplify]: Extracting #1: cost 0 inf + 1 64.706 * [simplify]: Simplified to 0 64.706 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 0))) 64.706 * * * * [progress]: [ 14 / 2246 ] simplifiying candidate # 64.706 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 64.707 * * [simplify]: iters left: 6 (17 enodes) 64.711 * * [simplify]: iters left: 5 (64 enodes) 64.722 * * [simplify]: iters left: 4 (95 enodes) 64.747 * * [simplify]: iters left: 3 (146 enodes) 64.771 * * [simplify]: iters left: 2 (193 enodes) 64.813 * * [simplify]: iters left: 1 (262 enodes) 64.871 * * [simplify]: Extracting #0: cost 1 inf + 0 64.871 * * [simplify]: Extracting #1: cost 11 inf + 0 64.872 * * [simplify]: Extracting #2: cost 56 inf + 0 64.872 * * [simplify]: Extracting #3: cost 78 inf + 4 64.872 * * [simplify]: Extracting #4: cost 72 inf + 1167 64.873 * * [simplify]: Extracting #5: cost 55 inf + 5597 64.877 * * [simplify]: Extracting #6: cost 17 inf + 19028 64.883 * * [simplify]: Extracting #7: cost 0 inf + 27668 64.889 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 64.889 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))))) 64.890 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1))) 64.890 * * [simplify]: iters left: 6 (14 enodes) 64.893 * * [simplify]: iters left: 5 (53 enodes) 64.906 * * [simplify]: iters left: 4 (78 enodes) 64.931 * * [simplify]: iters left: 3 (126 enodes) 64.964 * * [simplify]: iters left: 2 (171 enodes) 64.994 * * [simplify]: iters left: 1 (225 enodes) 65.039 * * [simplify]: Extracting #0: cost 1 inf + 0 65.039 * * [simplify]: Extracting #1: cost 0 inf + 1 65.039 * [simplify]: Simplified to 0 65.039 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 65.039 * * * * [progress]: [ 15 / 2246 ] simplifiying candidate # 65.040 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 65.040 * * [simplify]: iters left: 6 (24 enodes) 65.052 * * [simplify]: iters left: 5 (98 enodes) 65.087 * * [simplify]: iters left: 4 (226 enodes) 65.183 * * [simplify]: Extracting #0: cost 1 inf + 0 65.183 * * [simplify]: Extracting #1: cost 11 inf + 0 65.184 * * [simplify]: Extracting #2: cost 144 inf + 0 65.184 * * [simplify]: Extracting #3: cost 258 inf + 1 65.185 * * [simplify]: Extracting #4: cost 258 inf + 607 65.187 * * [simplify]: Extracting #5: cost 237 inf + 5183 65.189 * * [simplify]: Extracting #6: cost 207 inf + 15638 65.196 * * [simplify]: Extracting #7: cost 178 inf + 28869 65.224 * * [simplify]: Extracting #8: cost 37 inf + 110757 65.256 * * [simplify]: Extracting #9: cost 0 inf + 132262 65.289 * * [simplify]: Extracting #10: cost 0 inf + 132182 65.323 * [simplify]: Simplified to (- (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 65.323 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 65.324 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 65.324 * * [simplify]: iters left: 6 (21 enodes) 65.330 * * [simplify]: iters left: 5 (87 enodes) 65.348 * * [simplify]: iters left: 4 (200 enodes) 65.440 * * [simplify]: Extracting #0: cost 1 inf + 0 65.440 * * [simplify]: Extracting #1: cost 25 inf + 0 65.440 * * [simplify]: Extracting #2: cost 150 inf + 0 65.441 * * [simplify]: Extracting #3: cost 243 inf + 1 65.442 * * [simplify]: Extracting #4: cost 245 inf + 365 65.443 * * [simplify]: Extracting #5: cost 226 inf + 4202 65.445 * * [simplify]: Extracting #6: cost 200 inf + 13225 65.450 * * [simplify]: Extracting #7: cost 154 inf + 36777 65.474 * * [simplify]: Extracting #8: cost 20 inf + 116269 65.518 * * [simplify]: Extracting #9: cost 0 inf + 128603 65.556 * [simplify]: Simplified to (- (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 65.556 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) (- (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 65.556 * * * * [progress]: [ 16 / 2246 ] simplifiying candidate # 65.557 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 65.557 * * [simplify]: iters left: 6 (23 enodes) 65.563 * * [simplify]: iters left: 5 (93 enodes) 65.580 * * [simplify]: iters left: 4 (190 enodes) 65.638 * * [simplify]: Extracting #0: cost 1 inf + 0 65.638 * * [simplify]: Extracting #1: cost 11 inf + 0 65.638 * * [simplify]: Extracting #2: cost 107 inf + 0 65.639 * * [simplify]: Extracting #3: cost 186 inf + 1 65.639 * * [simplify]: Extracting #4: cost 185 inf + 728 65.640 * * [simplify]: Extracting #5: cost 170 inf + 3751 65.642 * * [simplify]: Extracting #6: cost 139 inf + 14326 65.645 * * [simplify]: Extracting #7: cost 130 inf + 16986 65.648 * * [simplify]: Extracting #8: cost 110 inf + 25466 65.662 * * [simplify]: Extracting #9: cost 21 inf + 73028 65.694 * * [simplify]: Extracting #10: cost 0 inf + 84646 65.723 * [simplify]: Simplified to (- (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 65.723 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 65.723 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 65.723 * * [simplify]: iters left: 6 (20 enodes) 65.729 * * [simplify]: iters left: 5 (82 enodes) 65.746 * * [simplify]: iters left: 4 (166 enodes) 65.826 * * [simplify]: Extracting #0: cost 1 inf + 0 65.826 * * [simplify]: Extracting #1: cost 22 inf + 0 65.826 * * [simplify]: Extracting #2: cost 106 inf + 0 65.827 * * [simplify]: Extracting #3: cost 175 inf + 0 65.828 * * [simplify]: Extracting #4: cost 174 inf + 286 65.829 * * [simplify]: Extracting #5: cost 165 inf + 2060 65.832 * * [simplify]: Extracting #6: cost 133 inf + 12055 65.836 * * [simplify]: Extracting #7: cost 124 inf + 14115 65.848 * * [simplify]: Extracting #8: cost 61 inf + 47169 65.879 * * [simplify]: Extracting #9: cost 3 inf + 80053 65.910 * * [simplify]: Extracting #10: cost 0 inf + 81907 65.928 * [simplify]: Simplified to (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 65.928 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))))))) 65.928 * * * * [progress]: [ 17 / 2246 ] simplifiying candidate # 65.928 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 65.929 * * [simplify]: iters left: 6 (22 enodes) 65.934 * * [simplify]: iters left: 5 (87 enodes) 65.951 * * [simplify]: iters left: 4 (197 enodes) 66.038 * * [simplify]: Extracting #0: cost 1 inf + 0 66.038 * * [simplify]: Extracting #1: cost 13 inf + 0 66.038 * * [simplify]: Extracting #2: cost 113 inf + 0 66.039 * * [simplify]: Extracting #3: cost 182 inf + 2 66.040 * * [simplify]: Extracting #4: cost 184 inf + 326 66.042 * * [simplify]: Extracting #5: cost 163 inf + 4788 66.053 * * [simplify]: Extracting #6: cost 72 inf + 38386 66.071 * * [simplify]: Extracting #7: cost 5 inf + 69552 66.086 * * [simplify]: Extracting #8: cost 0 inf + 72362 66.107 * [simplify]: Simplified to (- (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) 66.107 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 66.108 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 66.108 * * [simplify]: iters left: 6 (19 enodes) 66.119 * * [simplify]: iters left: 5 (76 enodes) 66.136 * * [simplify]: iters left: 4 (173 enodes) 66.198 * * [simplify]: Extracting #0: cost 1 inf + 0 66.198 * * [simplify]: Extracting #1: cost 14 inf + 0 66.198 * * [simplify]: Extracting #2: cost 90 inf + 0 66.199 * * [simplify]: Extracting #3: cost 150 inf + 1 66.199 * * [simplify]: Extracting #4: cost 151 inf + 286 66.200 * * [simplify]: Extracting #5: cost 139 inf + 2371 66.201 * * [simplify]: Extracting #6: cost 93 inf + 16977 66.210 * * [simplify]: Extracting #7: cost 13 inf + 53665 66.226 * * [simplify]: Extracting #8: cost 0 inf + 59778 66.247 * [simplify]: Simplified to (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 66.247 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 66.248 * * * * [progress]: [ 18 / 2246 ] simplifiying candidate # 66.248 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 66.248 * * [simplify]: iters left: 6 (24 enodes) 66.261 * * [simplify]: iters left: 5 (97 enodes) 66.293 * * [simplify]: iters left: 4 (164 enodes) 66.350 * * [simplify]: iters left: 3 (464 enodes) 67.094 * * [simplify]: Extracting #0: cost 1 inf + 0 67.094 * * [simplify]: Extracting #1: cost 21 inf + 0 67.095 * * [simplify]: Extracting #2: cost 173 inf + 0 67.096 * * [simplify]: Extracting #3: cost 285 inf + 3 67.097 * * [simplify]: Extracting #4: cost 284 inf + 942 67.099 * * [simplify]: Extracting #5: cost 253 inf + 9112 67.107 * * [simplify]: Extracting #6: cost 159 inf + 42070 67.140 * * [simplify]: Extracting #7: cost 29 inf + 102425 67.179 * * [simplify]: Extracting #8: cost 0 inf + 117338 67.217 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 67.217 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 67.218 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 67.218 * * [simplify]: iters left: 6 (20 enodes) 67.224 * * [simplify]: iters left: 5 (82 enodes) 67.241 * * [simplify]: iters left: 4 (138 enodes) 67.300 * * [simplify]: iters left: 3 (402 enodes) 67.577 * * [simplify]: Extracting #0: cost 1 inf + 0 67.577 * * [simplify]: Extracting #1: cost 0 inf + 1 67.577 * [simplify]: Simplified to 0 67.577 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 0))) 67.577 * * * * [progress]: [ 19 / 2246 ] simplifiying candidate # 67.578 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 67.578 * * [simplify]: iters left: 6 (24 enodes) 67.596 * * [simplify]: iters left: 5 (97 enodes) 67.628 * * [simplify]: iters left: 4 (164 enodes) 67.706 * * [simplify]: iters left: 3 (464 enodes) 68.001 * * [simplify]: Extracting #0: cost 1 inf + 0 68.001 * * [simplify]: Extracting #1: cost 21 inf + 0 68.002 * * [simplify]: Extracting #2: cost 173 inf + 0 68.003 * * [simplify]: Extracting #3: cost 285 inf + 3 68.004 * * [simplify]: Extracting #4: cost 284 inf + 942 68.007 * * [simplify]: Extracting #5: cost 253 inf + 9112 68.014 * * [simplify]: Extracting #6: cost 159 inf + 42070 68.035 * * [simplify]: Extracting #7: cost 29 inf + 102425 68.088 * * [simplify]: Extracting #8: cost 0 inf + 117338 68.143 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 68.143 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 68.144 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 68.144 * * [simplify]: iters left: 6 (20 enodes) 68.155 * * [simplify]: iters left: 5 (82 enodes) 68.180 * * [simplify]: iters left: 4 (138 enodes) 68.214 * * [simplify]: iters left: 3 (402 enodes) 68.515 * * [simplify]: Extracting #0: cost 1 inf + 0 68.515 * * [simplify]: Extracting #1: cost 0 inf + 1 68.515 * [simplify]: Simplified to 0 68.515 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 0))) 68.516 * * * * [progress]: [ 20 / 2246 ] simplifiying candidate # 68.516 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 68.516 * * [simplify]: iters left: 6 (22 enodes) 68.528 * * [simplify]: iters left: 5 (87 enodes) 68.560 * * [simplify]: iters left: 4 (197 enodes) 68.657 * * [simplify]: Extracting #0: cost 1 inf + 0 68.657 * * [simplify]: Extracting #1: cost 13 inf + 0 68.657 * * [simplify]: Extracting #2: cost 113 inf + 0 68.658 * * [simplify]: Extracting #3: cost 182 inf + 2 68.658 * * [simplify]: Extracting #4: cost 184 inf + 326 68.659 * * [simplify]: Extracting #5: cost 163 inf + 4788 68.665 * * [simplify]: Extracting #6: cost 72 inf + 38386 68.683 * * [simplify]: Extracting #7: cost 5 inf + 69552 68.709 * * [simplify]: Extracting #8: cost 0 inf + 72362 68.735 * [simplify]: Simplified to (- (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) 68.735 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 68.736 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 68.736 * * [simplify]: iters left: 6 (19 enodes) 68.745 * * [simplify]: iters left: 5 (76 enodes) 68.762 * * [simplify]: iters left: 4 (173 enodes) 68.847 * * [simplify]: Extracting #0: cost 1 inf + 0 68.848 * * [simplify]: Extracting #1: cost 14 inf + 0 68.848 * * [simplify]: Extracting #2: cost 90 inf + 0 68.849 * * [simplify]: Extracting #3: cost 150 inf + 1 68.850 * * [simplify]: Extracting #4: cost 151 inf + 286 68.851 * * [simplify]: Extracting #5: cost 139 inf + 2371 68.857 * * [simplify]: Extracting #6: cost 93 inf + 16977 68.873 * * [simplify]: Extracting #7: cost 13 inf + 53665 68.894 * * [simplify]: Extracting #8: cost 0 inf + 59778 68.915 * [simplify]: Simplified to (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 68.916 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 68.916 * * * * [progress]: [ 21 / 2246 ] simplifiying candidate # 68.917 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 68.917 * * [simplify]: iters left: 6 (23 enodes) 68.923 * * [simplify]: iters left: 5 (92 enodes) 68.940 * * [simplify]: iters left: 4 (195 enodes) 68.993 * * [simplify]: Extracting #0: cost 1 inf + 0 68.993 * * [simplify]: Extracting #1: cost 11 inf + 0 68.993 * * [simplify]: Extracting #2: cost 107 inf + 0 68.994 * * [simplify]: Extracting #3: cost 191 inf + 1 68.994 * * [simplify]: Extracting #4: cost 192 inf + 285 68.995 * * [simplify]: Extracting #5: cost 176 inf + 3133 68.997 * * [simplify]: Extracting #6: cost 157 inf + 8956 69.000 * * [simplify]: Extracting #7: cost 125 inf + 21590 69.015 * * [simplify]: Extracting #8: cost 28 inf + 75536 69.038 * * [simplify]: Extracting #9: cost 0 inf + 91040 69.064 * * [simplify]: Extracting #10: cost 0 inf + 90960 69.101 * [simplify]: Simplified to (- (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (* (cbrt 1/2) (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 69.101 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (* (cbrt 1/2) (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 69.102 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 69.103 * * [simplify]: iters left: 6 (20 enodes) 69.108 * * [simplify]: iters left: 5 (81 enodes) 69.123 * * [simplify]: iters left: 4 (169 enodes) 69.176 * * [simplify]: Extracting #0: cost 1 inf + 0 69.176 * * [simplify]: Extracting #1: cost 22 inf + 0 69.177 * * [simplify]: Extracting #2: cost 104 inf + 0 69.178 * * [simplify]: Extracting #3: cost 169 inf + 0 69.179 * * [simplify]: Extracting #4: cost 160 inf + 1174 69.181 * * [simplify]: Extracting #5: cost 140 inf + 5986 69.183 * * [simplify]: Extracting #6: cost 136 inf + 7316 69.186 * * [simplify]: Extracting #7: cost 132 inf + 7868 69.197 * * [simplify]: Extracting #8: cost 72 inf + 39468 69.227 * * [simplify]: Extracting #9: cost 3 inf + 80030 69.260 * * [simplify]: Extracting #10: cost 0 inf + 81164 69.291 * * [simplify]: Extracting #11: cost 0 inf + 80644 69.324 * * [simplify]: Extracting #12: cost 0 inf + 80484 69.359 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) 69.359 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))))))) 69.359 * * * * [progress]: [ 22 / 2246 ] simplifiying candidate # 69.360 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 69.360 * * [simplify]: iters left: 6 (22 enodes) 69.371 * * [simplify]: iters left: 5 (86 enodes) 69.392 * * [simplify]: iters left: 4 (162 enodes) 69.442 * * [simplify]: iters left: 3 (422 enodes) 69.675 * * [simplify]: Extracting #0: cost 1 inf + 0 69.675 * * [simplify]: Extracting #1: cost 11 inf + 0 69.675 * * [simplify]: Extracting #2: cost 131 inf + 0 69.677 * * [simplify]: Extracting #3: cost 249 inf + 2 69.680 * * [simplify]: Extracting #4: cost 250 inf + 408 69.683 * * [simplify]: Extracting #5: cost 231 inf + 3988 69.692 * * [simplify]: Extracting #6: cost 172 inf + 24188 69.735 * * [simplify]: Extracting #7: cost 17 inf + 99149 69.777 * * [simplify]: Extracting #8: cost 0 inf + 108095 69.822 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 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 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 69.822 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 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 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 69.822 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 69.823 * * [simplify]: iters left: 6 (19 enodes) 69.828 * * [simplify]: iters left: 5 (75 enodes) 69.841 * * [simplify]: iters left: 4 (138 enodes) 69.888 * * [simplify]: iters left: 3 (364 enodes) 70.046 * * [simplify]: Extracting #0: cost 1 inf + 0 70.046 * * [simplify]: Extracting #1: cost 0 inf + 1 70.046 * [simplify]: Simplified to 0 70.046 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 70.047 * * * * [progress]: [ 23 / 2246 ] simplifiying candidate # 70.047 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 70.047 * * [simplify]: iters left: 6 (21 enodes) 70.053 * * [simplify]: iters left: 5 (82 enodes) 70.075 * * [simplify]: iters left: 4 (153 enodes) 70.113 * * [simplify]: iters left: 3 (379 enodes) 70.372 * * [simplify]: Extracting #0: cost 1 inf + 0 70.372 * * [simplify]: Extracting #1: cost 11 inf + 0 70.373 * * [simplify]: Extracting #2: cost 109 inf + 0 70.374 * * [simplify]: Extracting #3: cost 187 inf + 3 70.376 * * [simplify]: Extracting #4: cost 188 inf + 409 70.379 * * [simplify]: Extracting #5: cost 169 inf + 4200 70.391 * * [simplify]: Extracting #6: cost 87 inf + 31265 70.428 * * [simplify]: Extracting #7: cost 3 inf + 67113 70.465 * * [simplify]: Extracting #8: cost 0 inf + 68272 70.501 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 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 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 70.502 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 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 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))))) 70.502 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1))) 70.503 * * [simplify]: iters left: 6 (18 enodes) 70.512 * * [simplify]: iters left: 5 (71 enodes) 70.536 * * [simplify]: iters left: 4 (130 enodes) 70.597 * * [simplify]: iters left: 3 (341 enodes) 70.813 * * [simplify]: Extracting #0: cost 1 inf + 0 70.813 * * [simplify]: Extracting #1: cost 0 inf + 1 70.813 * [simplify]: Simplified to 0 70.813 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 0))) 70.813 * * * * [progress]: [ 24 / 2246 ] simplifiying candidate # 70.814 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) 70.814 * * [simplify]: iters left: 6 (23 enodes) 70.827 * * [simplify]: iters left: 5 (91 enodes) 70.856 * * [simplify]: iters left: 4 (141 enodes) 70.903 * * [simplify]: iters left: 3 (320 enodes) 71.065 * * [simplify]: Extracting #0: cost 1 inf + 0 71.065 * * [simplify]: Extracting #1: cost 11 inf + 0 71.065 * * [simplify]: Extracting #2: cost 83 inf + 0 71.067 * * [simplify]: Extracting #3: cost 169 inf + 3 71.068 * * [simplify]: Extracting #4: cost 169 inf + 1176 71.075 * * [simplify]: Extracting #5: cost 161 inf + 2667 71.079 * * [simplify]: Extracting #6: cost 127 inf + 13534 71.103 * * [simplify]: Extracting #7: cost 22 inf + 53807 71.133 * * [simplify]: Extracting #8: cost 0 inf + 62774 71.164 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 71.164 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))))) 71.165 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)))) 71.165 * * [simplify]: iters left: 6 (19 enodes) 71.176 * * [simplify]: iters left: 5 (76 enodes) 71.202 * * [simplify]: iters left: 4 (115 enodes) 71.251 * * [simplify]: iters left: 3 (283 enodes) 71.406 * * [simplify]: Extracting #0: cost 1 inf + 0 71.406 * * [simplify]: Extracting #1: cost 28 inf + 0 71.407 * * [simplify]: Extracting #2: cost 102 inf + 1 71.407 * * [simplify]: Extracting #3: cost 142 inf + 691 71.408 * * [simplify]: Extracting #4: cost 131 inf + 3683 71.410 * * [simplify]: Extracting #5: cost 102 inf + 11388 71.413 * * [simplify]: Extracting #6: cost 97 inf + 12896 71.423 * * [simplify]: Extracting #7: cost 45 inf + 33427 71.446 * * [simplify]: Extracting #8: cost 0 inf + 53907 71.475 * * [simplify]: Extracting #9: cost 0 inf + 53757 71.501 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 71.501 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 71.501 * * * * [progress]: [ 25 / 2246 ] simplifiying candidate # 71.502 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) 71.502 * * [simplify]: iters left: 6 (23 enodes) 71.509 * * [simplify]: iters left: 5 (91 enodes) 71.524 * * [simplify]: iters left: 4 (141 enodes) 71.568 * * [simplify]: iters left: 3 (320 enodes) 71.743 * * [simplify]: Extracting #0: cost 1 inf + 0 71.743 * * [simplify]: Extracting #1: cost 11 inf + 0 71.743 * * [simplify]: Extracting #2: cost 83 inf + 0 71.744 * * [simplify]: Extracting #3: cost 169 inf + 3 71.746 * * [simplify]: Extracting #4: cost 169 inf + 1176 71.748 * * [simplify]: Extracting #5: cost 161 inf + 2667 71.753 * * [simplify]: Extracting #6: cost 127 inf + 13534 71.779 * * [simplify]: Extracting #7: cost 22 inf + 53807 71.809 * * [simplify]: Extracting #8: cost 0 inf + 62774 71.839 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 71.840 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))))) 71.840 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)))) 71.841 * * [simplify]: iters left: 6 (19 enodes) 71.851 * * [simplify]: iters left: 5 (76 enodes) 71.876 * * [simplify]: iters left: 4 (115 enodes) 71.924 * * [simplify]: iters left: 3 (283 enodes) 72.056 * * [simplify]: Extracting #0: cost 1 inf + 0 72.056 * * [simplify]: Extracting #1: cost 28 inf + 0 72.057 * * [simplify]: Extracting #2: cost 102 inf + 1 72.058 * * [simplify]: Extracting #3: cost 142 inf + 691 72.060 * * [simplify]: Extracting #4: cost 131 inf + 3683 72.064 * * [simplify]: Extracting #5: cost 102 inf + 11388 72.070 * * [simplify]: Extracting #6: cost 97 inf + 12896 72.084 * * [simplify]: Extracting #7: cost 45 inf + 33427 72.114 * * [simplify]: Extracting #8: cost 0 inf + 53907 72.131 * * [simplify]: Extracting #9: cost 0 inf + 53757 72.146 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 72.146 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 72.146 * * * * [progress]: [ 26 / 2246 ] simplifiying candidate # 72.146 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 72.146 * * [simplify]: iters left: 6 (21 enodes) 72.152 * * [simplify]: iters left: 5 (82 enodes) 72.179 * * [simplify]: iters left: 4 (153 enodes) 72.220 * * [simplify]: iters left: 3 (379 enodes) 72.440 * * [simplify]: Extracting #0: cost 1 inf + 0 72.440 * * [simplify]: Extracting #1: cost 11 inf + 0 72.441 * * [simplify]: Extracting #2: cost 109 inf + 0 72.442 * * [simplify]: Extracting #3: cost 187 inf + 3 72.442 * * [simplify]: Extracting #4: cost 188 inf + 409 72.444 * * [simplify]: Extracting #5: cost 169 inf + 4200 72.453 * * [simplify]: Extracting #6: cost 87 inf + 31265 72.491 * * [simplify]: Extracting #7: cost 3 inf + 67113 72.527 * * [simplify]: Extracting #8: cost 0 inf + 68272 72.554 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 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 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 72.554 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 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 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))))) 72.554 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1))) 72.555 * * [simplify]: iters left: 6 (18 enodes) 72.560 * * [simplify]: iters left: 5 (71 enodes) 72.581 * * [simplify]: iters left: 4 (130 enodes) 72.627 * * [simplify]: iters left: 3 (341 enodes) 72.865 * * [simplify]: Extracting #0: cost 1 inf + 0 72.865 * * [simplify]: Extracting #1: cost 0 inf + 1 72.865 * [simplify]: Simplified to 0 72.865 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 0))) 72.865 * * * * [progress]: [ 27 / 2246 ] simplifiying candidate # 72.866 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 72.866 * * [simplify]: iters left: 6 (22 enodes) 72.878 * * [simplify]: iters left: 5 (87 enodes) 72.909 * * [simplify]: iters left: 4 (187 enodes) 73.003 * * [simplify]: Extracting #0: cost 1 inf + 0 73.003 * * [simplify]: Extracting #1: cost 11 inf + 0 73.003 * * [simplify]: Extracting #2: cost 90 inf + 0 73.003 * * [simplify]: Extracting #3: cost 153 inf + 2 73.004 * * [simplify]: Extracting #4: cost 152 inf + 61 73.005 * * [simplify]: Extracting #5: cost 139 inf + 2397 73.006 * * [simplify]: Extracting #6: cost 126 inf + 5355 73.007 * * [simplify]: Extracting #7: cost 119 inf + 7059 73.013 * * [simplify]: Extracting #8: cost 63 inf + 32507 73.026 * * [simplify]: Extracting #9: cost 4 inf + 62769 73.056 * * [simplify]: Extracting #10: cost 0 inf + 64881 73.085 * [simplify]: Simplified to (- (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (/ (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (hypot 1 x)) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 73.085 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (/ (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (hypot 1 x)) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 73.086 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 73.086 * * [simplify]: iters left: 6 (19 enodes) 73.096 * * [simplify]: iters left: 5 (76 enodes) 73.123 * * [simplify]: iters left: 4 (163 enodes) 73.186 * * [simplify]: iters left: 3 (466 enodes) 73.515 * * [simplify]: Extracting #0: cost 1 inf + 0 73.515 * * [simplify]: Extracting #1: cost 0 inf + 1 73.515 * [simplify]: Simplified to 0 73.515 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 73.515 * * * * [progress]: [ 28 / 2246 ] simplifiying candidate # 73.516 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 73.516 * * [simplify]: iters left: 6 (21 enodes) 73.527 * * [simplify]: iters left: 5 (82 enodes) 73.550 * * [simplify]: iters left: 4 (154 enodes) 73.595 * * [simplify]: iters left: 3 (376 enodes) 73.834 * * [simplify]: Extracting #0: cost 1 inf + 0 73.834 * * [simplify]: Extracting #1: cost 11 inf + 0 73.835 * * [simplify]: Extracting #2: cost 94 inf + 0 73.836 * * [simplify]: Extracting #3: cost 186 inf + 4 73.838 * * [simplify]: Extracting #4: cost 170 inf + 2643 73.845 * * [simplify]: Extracting #5: cost 114 inf + 17599 73.872 * * [simplify]: Extracting #6: cost 20 inf + 57019 73.894 * * [simplify]: Extracting #7: cost 0 inf + 65791 73.917 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 73.917 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 73.918 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 73.918 * * [simplify]: iters left: 6 (18 enodes) 73.932 * * [simplify]: iters left: 5 (71 enodes) 73.947 * * [simplify]: iters left: 4 (132 enodes) 73.989 * * [simplify]: iters left: 3 (327 enodes) 74.145 * * [simplify]: Extracting #0: cost 1 inf + 0 74.145 * * [simplify]: Extracting #1: cost 0 inf + 1 74.145 * [simplify]: Simplified to 0 74.145 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 74.146 * * * * [progress]: [ 29 / 2246 ] simplifiying candidate # 74.146 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 74.146 * * [simplify]: iters left: 6 (20 enodes) 74.155 * * [simplify]: iters left: 5 (73 enodes) 74.184 * * [simplify]: iters left: 4 (139 enodes) 74.238 * * [simplify]: iters left: 3 (300 enodes) 74.400 * * [simplify]: Extracting #0: cost 1 inf + 0 74.400 * * [simplify]: Extracting #1: cost 13 inf + 0 74.401 * * [simplify]: Extracting #2: cost 116 inf + 0 74.402 * * [simplify]: Extracting #3: cost 161 inf + 4 74.403 * * [simplify]: Extracting #4: cost 142 inf + 3102 74.407 * * [simplify]: Extracting #5: cost 113 inf + 8781 74.410 * * [simplify]: Extracting #6: cost 99 inf + 12977 74.417 * * [simplify]: Extracting #7: cost 34 inf + 38156 74.428 * * [simplify]: Extracting #8: cost 0 inf + 51394 74.445 * * [simplify]: Extracting #9: cost 0 inf + 51369 74.468 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 74.468 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))))) 74.469 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1))) 74.469 * * [simplify]: iters left: 6 (17 enodes) 74.478 * * [simplify]: iters left: 5 (62 enodes) 74.500 * * [simplify]: iters left: 4 (117 enodes) 74.551 * * [simplify]: iters left: 3 (259 enodes) 74.685 * * [simplify]: Extracting #0: cost 1 inf + 0 74.685 * * [simplify]: Extracting #1: cost 0 inf + 1 74.685 * [simplify]: Simplified to 0 74.685 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 74.685 * * * * [progress]: [ 30 / 2246 ] simplifiying candidate # 74.685 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 74.686 * * [simplify]: iters left: 6 (22 enodes) 74.694 * * [simplify]: iters left: 5 (86 enodes) 74.708 * * [simplify]: iters left: 4 (149 enodes) 74.753 * * [simplify]: iters left: 3 (324 enodes) 74.930 * * [simplify]: Extracting #0: cost 1 inf + 0 74.930 * * [simplify]: Extracting #1: cost 13 inf + 0 74.931 * * [simplify]: Extracting #2: cost 111 inf + 0 74.931 * * [simplify]: Extracting #3: cost 160 inf + 4 74.932 * * [simplify]: Extracting #4: cost 146 inf + 1738 74.937 * * [simplify]: Extracting #5: cost 114 inf + 8266 74.942 * * [simplify]: Extracting #6: cost 61 inf + 26526 74.964 * * [simplify]: Extracting #7: cost 4 inf + 49624 74.989 * * [simplify]: Extracting #8: cost 0 inf + 51086 75.008 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 75.008 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))))) 75.009 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)))) 75.009 * * [simplify]: iters left: 6 (18 enodes) 75.015 * * [simplify]: iters left: 5 (71 enodes) 75.026 * * [simplify]: iters left: 4 (123 enodes) 75.070 * * [simplify]: iters left: 3 (278 enodes) 75.210 * * [simplify]: Extracting #0: cost 1 inf + 0 75.210 * * [simplify]: Extracting #1: cost 0 inf + 1 75.210 * [simplify]: Simplified to 0 75.210 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 75.211 * * * * [progress]: [ 31 / 2246 ] simplifiying candidate # 75.211 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 75.211 * * [simplify]: iters left: 6 (22 enodes) 75.221 * * [simplify]: iters left: 5 (86 enodes) 75.247 * * [simplify]: iters left: 4 (149 enodes) 75.309 * * [simplify]: iters left: 3 (324 enodes) 75.471 * * [simplify]: Extracting #0: cost 1 inf + 0 75.471 * * [simplify]: Extracting #1: cost 13 inf + 0 75.471 * * [simplify]: Extracting #2: cost 111 inf + 0 75.473 * * [simplify]: Extracting #3: cost 160 inf + 4 75.474 * * [simplify]: Extracting #4: cost 146 inf + 1738 75.477 * * [simplify]: Extracting #5: cost 114 inf + 8266 75.488 * * [simplify]: Extracting #6: cost 61 inf + 26526 75.509 * * [simplify]: Extracting #7: cost 4 inf + 49624 75.521 * * [simplify]: Extracting #8: cost 0 inf + 51086 75.533 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 75.533 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))))) 75.534 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)))) 75.534 * * [simplify]: iters left: 6 (18 enodes) 75.543 * * [simplify]: iters left: 5 (71 enodes) 75.559 * * [simplify]: iters left: 4 (123 enodes) 75.592 * * [simplify]: iters left: 3 (278 enodes) 75.695 * * [simplify]: Extracting #0: cost 1 inf + 0 75.695 * * [simplify]: Extracting #1: cost 0 inf + 1 75.695 * [simplify]: Simplified to 0 75.696 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 75.696 * * * * [progress]: [ 32 / 2246 ] simplifiying candidate # 75.696 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 75.697 * * [simplify]: iters left: 6 (20 enodes) 75.706 * * [simplify]: iters left: 5 (73 enodes) 75.719 * * [simplify]: iters left: 4 (139 enodes) 75.758 * * [simplify]: iters left: 3 (300 enodes) 75.927 * * [simplify]: Extracting #0: cost 1 inf + 0 75.927 * * [simplify]: Extracting #1: cost 13 inf + 0 75.928 * * [simplify]: Extracting #2: cost 116 inf + 0 75.929 * * [simplify]: Extracting #3: cost 161 inf + 4 75.930 * * [simplify]: Extracting #4: cost 142 inf + 3102 75.934 * * [simplify]: Extracting #5: cost 113 inf + 8781 75.938 * * [simplify]: Extracting #6: cost 99 inf + 12977 75.955 * * [simplify]: Extracting #7: cost 34 inf + 38156 75.978 * * [simplify]: Extracting #8: cost 0 inf + 51394 76.001 * * [simplify]: Extracting #9: cost 0 inf + 51369 76.024 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 76.024 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))))) 76.025 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1))) 76.025 * * [simplify]: iters left: 6 (17 enodes) 76.034 * * [simplify]: iters left: 5 (62 enodes) 76.055 * * [simplify]: iters left: 4 (117 enodes) 76.100 * * [simplify]: iters left: 3 (259 enodes) 76.248 * * [simplify]: Extracting #0: cost 1 inf + 0 76.248 * * [simplify]: Extracting #1: cost 0 inf + 1 76.248 * [simplify]: Simplified to 0 76.248 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 76.249 * * * * [progress]: [ 33 / 2246 ] simplifiying candidate # 76.249 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 76.249 * * [simplify]: iters left: 6 (23 enodes) 76.261 * * [simplify]: iters left: 5 (91 enodes) 76.294 * * [simplify]: iters left: 4 (188 enodes) 76.386 * * [simplify]: Extracting #0: cost 1 inf + 0 76.387 * * [simplify]: Extracting #1: cost 11 inf + 0 76.387 * * [simplify]: Extracting #2: cost 106 inf + 0 76.388 * * [simplify]: Extracting #3: cost 190 inf + 1 76.389 * * [simplify]: Extracting #4: cost 191 inf + 165 76.391 * * [simplify]: Extracting #5: cost 175 inf + 3280 76.394 * * [simplify]: Extracting #6: cost 161 inf + 7509 76.397 * * [simplify]: Extracting #7: cost 153 inf + 9791 76.401 * * [simplify]: Extracting #8: cost 130 inf + 19245 76.413 * * [simplify]: Extracting #9: cost 44 inf + 66928 76.435 * * [simplify]: Extracting #10: cost 0 inf + 92080 76.473 * * [simplify]: Extracting #11: cost 0 inf + 91265 76.510 * * [simplify]: Extracting #12: cost 0 inf + 91225 76.550 * [simplify]: Simplified to (- (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (/ (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (hypot 1 x))) (/ (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 76.550 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (/ (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (hypot 1 x))) (/ (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 76.551 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 76.551 * * [simplify]: iters left: 6 (20 enodes) 76.557 * * [simplify]: iters left: 5 (80 enodes) 76.572 * * [simplify]: iters left: 4 (163 enodes) 76.636 * * [simplify]: iters left: 3 (493 enodes) 77.009 * * [simplify]: Extracting #0: cost 1 inf + 0 77.010 * * [simplify]: Extracting #1: cost 0 inf + 1 77.010 * [simplify]: Simplified to 0 77.010 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 77.010 * * * * [progress]: [ 34 / 2246 ] simplifiying candidate # 77.010 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 77.010 * * [simplify]: iters left: 6 (22 enodes) 77.020 * * [simplify]: iters left: 5 (86 enodes) 77.043 * * [simplify]: iters left: 4 (157 enodes) 77.088 * * [simplify]: iters left: 3 (392 enodes) 77.259 * * [simplify]: Extracting #0: cost 1 inf + 0 77.259 * * [simplify]: Extracting #1: cost 11 inf + 0 77.259 * * [simplify]: Extracting #2: cost 108 inf + 0 77.260 * * [simplify]: Extracting #3: cost 202 inf + 3 77.261 * * [simplify]: Extracting #4: cost 204 inf + 87 77.262 * * [simplify]: Extracting #5: cost 186 inf + 3750 77.266 * * [simplify]: Extracting #6: cost 128 inf + 23933 77.282 * * [simplify]: Extracting #7: cost 38 inf + 64613 77.329 * * [simplify]: Extracting #8: cost 0 inf + 83818 77.371 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (hypot 1 x)))) 77.371 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (hypot 1 x)))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 77.372 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 77.373 * * [simplify]: iters left: 6 (19 enodes) 77.383 * * [simplify]: iters left: 5 (75 enodes) 77.407 * * [simplify]: iters left: 4 (134 enodes) 77.456 * * [simplify]: iters left: 3 (346 enodes) 77.622 * * [simplify]: Extracting #0: cost 1 inf + 0 77.622 * * [simplify]: Extracting #1: cost 0 inf + 1 77.622 * [simplify]: Simplified to 0 77.622 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 77.623 * * * * [progress]: [ 35 / 2246 ] simplifiying candidate # 77.623 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 77.623 * * [simplify]: iters left: 6 (21 enodes) 77.633 * * [simplify]: iters left: 5 (81 enodes) 77.663 * * [simplify]: iters left: 4 (148 enodes) 77.697 * * [simplify]: iters left: 3 (359 enodes) 77.854 * * [simplify]: Extracting #0: cost 1 inf + 0 77.854 * * [simplify]: Extracting #1: cost 11 inf + 0 77.854 * * [simplify]: Extracting #2: cost 85 inf + 0 77.855 * * [simplify]: Extracting #3: cost 157 inf + 4 77.856 * * [simplify]: Extracting #4: cost 155 inf + 453 77.857 * * [simplify]: Extracting #5: cost 154 inf + 593 77.858 * * [simplify]: Extracting #6: cost 119 inf + 9354 77.868 * * [simplify]: Extracting #7: cost 31 inf + 42538 77.892 * * [simplify]: Extracting #8: cost 0 inf + 55694 77.920 * * [simplify]: Extracting #9: cost 0 inf + 55419 77.952 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 77.952 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 77.953 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 77.954 * * [simplify]: iters left: 6 (18 enodes) 77.962 * * [simplify]: iters left: 5 (70 enodes) 77.975 * * [simplify]: iters left: 4 (126 enodes) 78.004 * * [simplify]: iters left: 3 (322 enodes) 78.133 * * [simplify]: Extracting #0: cost 1 inf + 0 78.134 * * [simplify]: Extracting #1: cost 0 inf + 1 78.134 * [simplify]: Simplified to 0 78.134 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 78.134 * * * * [progress]: [ 36 / 2246 ] simplifiying candidate # 78.134 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 78.134 * * [simplify]: iters left: 6 (23 enodes) 78.146 * * [simplify]: iters left: 5 (90 enodes) 78.174 * * [simplify]: iters left: 4 (137 enodes) 78.229 * * [simplify]: iters left: 3 (302 enodes) 78.372 * * [simplify]: Extracting #0: cost 1 inf + 0 78.372 * * [simplify]: Extracting #1: cost 11 inf + 0 78.372 * * [simplify]: Extracting #2: cost 76 inf + 0 78.372 * * [simplify]: Extracting #3: cost 147 inf + 3 78.373 * * [simplify]: Extracting #4: cost 149 inf + 329 78.374 * * [simplify]: Extracting #5: cost 145 inf + 687 78.375 * * [simplify]: Extracting #6: cost 118 inf + 7145 78.382 * * [simplify]: Extracting #7: cost 54 inf + 29830 78.400 * * [simplify]: Extracting #8: cost 1 inf + 52115 78.424 * * [simplify]: Extracting #9: cost 0 inf + 52278 78.451 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) 78.451 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 78.452 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 78.452 * * [simplify]: iters left: 6 (19 enodes) 78.460 * * [simplify]: iters left: 5 (75 enodes) 78.473 * * [simplify]: iters left: 4 (111 enodes) 78.502 * * [simplify]: iters left: 3 (244 enodes) 78.639 * * [simplify]: Extracting #0: cost 1 inf + 0 78.639 * * [simplify]: Extracting #1: cost 18 inf + 0 78.639 * * [simplify]: Extracting #2: cost 75 inf + 1 78.640 * * [simplify]: Extracting #3: cost 123 inf + 1 78.641 * * [simplify]: Extracting #4: cost 115 inf + 1708 78.644 * * [simplify]: Extracting #5: cost 83 inf + 10385 78.646 * * [simplify]: Extracting #6: cost 78 inf + 11373 78.652 * * [simplify]: Extracting #7: cost 25 inf + 31967 78.663 * * [simplify]: Extracting #8: cost 0 inf + 41997 78.675 * * [simplify]: Extracting #9: cost 0 inf + 41872 78.688 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 78.688 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))))))) 78.689 * * * * [progress]: [ 37 / 2246 ] simplifiying candidate # 78.689 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 78.689 * * [simplify]: iters left: 6 (23 enodes) 78.703 * * [simplify]: iters left: 5 (90 enodes) 78.731 * * [simplify]: iters left: 4 (137 enodes) 78.768 * * [simplify]: iters left: 3 (302 enodes) 78.885 * * [simplify]: Extracting #0: cost 1 inf + 0 78.885 * * [simplify]: Extracting #1: cost 11 inf + 0 78.885 * * [simplify]: Extracting #2: cost 76 inf + 0 78.886 * * [simplify]: Extracting #3: cost 147 inf + 3 78.887 * * [simplify]: Extracting #4: cost 149 inf + 329 78.889 * * [simplify]: Extracting #5: cost 145 inf + 687 78.891 * * [simplify]: Extracting #6: cost 118 inf + 7145 78.901 * * [simplify]: Extracting #7: cost 54 inf + 29830 78.914 * * [simplify]: Extracting #8: cost 1 inf + 52115 78.927 * * [simplify]: Extracting #9: cost 0 inf + 52278 78.946 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) 78.946 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 78.947 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 78.947 * * [simplify]: iters left: 6 (19 enodes) 78.953 * * [simplify]: iters left: 5 (75 enodes) 78.966 * * [simplify]: iters left: 4 (111 enodes) 78.991 * * [simplify]: iters left: 3 (244 enodes) 79.090 * * [simplify]: Extracting #0: cost 1 inf + 0 79.090 * * [simplify]: Extracting #1: cost 18 inf + 0 79.091 * * [simplify]: Extracting #2: cost 75 inf + 1 79.091 * * [simplify]: Extracting #3: cost 123 inf + 1 79.092 * * [simplify]: Extracting #4: cost 115 inf + 1708 79.096 * * [simplify]: Extracting #5: cost 83 inf + 10385 79.100 * * [simplify]: Extracting #6: cost 78 inf + 11373 79.113 * * [simplify]: Extracting #7: cost 25 inf + 31967 79.133 * * [simplify]: Extracting #8: cost 0 inf + 41997 79.145 * * [simplify]: Extracting #9: cost 0 inf + 41872 79.156 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 79.156 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))))))) 79.156 * * * * [progress]: [ 38 / 2246 ] simplifiying candidate # 79.157 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 79.157 * * [simplify]: iters left: 6 (21 enodes) 79.163 * * [simplify]: iters left: 5 (81 enodes) 79.181 * * [simplify]: iters left: 4 (148 enodes) 79.227 * * [simplify]: iters left: 3 (359 enodes) 79.387 * * [simplify]: Extracting #0: cost 1 inf + 0 79.387 * * [simplify]: Extracting #1: cost 11 inf + 0 79.387 * * [simplify]: Extracting #2: cost 85 inf + 0 79.388 * * [simplify]: Extracting #3: cost 157 inf + 4 79.389 * * [simplify]: Extracting #4: cost 155 inf + 453 79.390 * * [simplify]: Extracting #5: cost 154 inf + 593 79.391 * * [simplify]: Extracting #6: cost 119 inf + 9354 79.402 * * [simplify]: Extracting #7: cost 31 inf + 42538 79.430 * * [simplify]: Extracting #8: cost 0 inf + 55694 79.459 * * [simplify]: Extracting #9: cost 0 inf + 55419 79.485 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 79.485 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 79.485 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 79.486 * * [simplify]: iters left: 6 (18 enodes) 79.490 * * [simplify]: iters left: 5 (70 enodes) 79.503 * * [simplify]: iters left: 4 (126 enodes) 79.554 * * [simplify]: iters left: 3 (322 enodes) 79.707 * * [simplify]: Extracting #0: cost 1 inf + 0 79.707 * * [simplify]: Extracting #1: cost 0 inf + 1 79.707 * [simplify]: Simplified to 0 79.708 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 79.708 * * * * [progress]: [ 39 / 2246 ] simplifiying candidate # 79.708 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 79.709 * * [simplify]: iters left: 6 (21 enodes) 79.719 * * [simplify]: iters left: 5 (83 enodes) 79.747 * * [simplify]: iters left: 4 (162 enodes) 79.795 * * [simplify]: iters left: 3 (388 enodes) 79.965 * * [simplify]: Extracting #0: cost 1 inf + 0 79.965 * * [simplify]: Extracting #1: cost 11 inf + 0 79.966 * * [simplify]: Extracting #2: cost 101 inf + 0 79.966 * * [simplify]: Extracting #3: cost 205 inf + 3 79.967 * * [simplify]: Extracting #4: cost 208 inf + 87 79.968 * * [simplify]: Extracting #5: cost 200 inf + 1253 79.971 * * [simplify]: Extracting #6: cost 159 inf + 13728 79.992 * * [simplify]: Extracting #7: cost 42 inf + 70203 80.020 * * [simplify]: Extracting #8: cost 0 inf + 91053 80.066 * * [simplify]: Extracting #9: cost 0 inf + 90734 80.094 * * [simplify]: Extracting #10: cost 0 inf + 90655 80.131 * [simplify]: Simplified to (+ (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ -1/2 (* (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 80.131 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ -1/2 (* (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 80.132 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 80.132 * * [simplify]: iters left: 6 (18 enodes) 80.142 * * [simplify]: iters left: 5 (72 enodes) 80.166 * * [simplify]: iters left: 4 (139 enodes) 80.203 * * [simplify]: iters left: 3 (344 enodes) 80.369 * * [simplify]: Extracting #0: cost 1 inf + 0 80.370 * * [simplify]: Extracting #1: cost 0 inf + 1 80.370 * [simplify]: Simplified to 0 80.370 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 80.370 * * * * [progress]: [ 40 / 2246 ] simplifiying candidate # 80.371 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 80.371 * * [simplify]: iters left: 6 (19 enodes) 80.380 * * [simplify]: iters left: 5 (72 enodes) 80.405 * * [simplify]: iters left: 4 (120 enodes) 80.446 * * [simplify]: iters left: 3 (252 enodes) 80.532 * * [simplify]: Extracting #0: cost 1 inf + 0 80.532 * * [simplify]: Extracting #1: cost 9 inf + 0 80.532 * * [simplify]: Extracting #2: cost 71 inf + 0 80.533 * * [simplify]: Extracting #3: cost 131 inf + 3 80.534 * * [simplify]: Extracting #4: cost 131 inf + 249 80.535 * * [simplify]: Extracting #5: cost 130 inf + 364 80.536 * * [simplify]: Extracting #6: cost 120 inf + 2080 80.543 * * [simplify]: Extracting #7: cost 46 inf + 26577 80.554 * * [simplify]: Extracting #8: cost 0 inf + 46539 80.566 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 80.566 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 80.567 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 80.567 * * [simplify]: iters left: 6 (16 enodes) 80.571 * * [simplify]: iters left: 5 (62 enodes) 80.582 * * [simplify]: iters left: 4 (105 enodes) 80.603 * * [simplify]: iters left: 3 (234 enodes) 80.682 * * [simplify]: Extracting #0: cost 1 inf + 0 80.682 * * [simplify]: Extracting #1: cost 0 inf + 1 80.682 * [simplify]: Simplified to 0 80.682 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 80.682 * * * * [progress]: [ 41 / 2246 ] simplifiying candidate # 80.682 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 80.682 * * [simplify]: iters left: 6 (19 enodes) 80.687 * * [simplify]: iters left: 5 (74 enodes) 80.705 * * [simplify]: iters left: 4 (132 enodes) 80.756 * * [simplify]: iters left: 3 (277 enodes) 80.884 * * [simplify]: Extracting #0: cost 1 inf + 0 80.884 * * [simplify]: Extracting #1: cost 11 inf + 0 80.884 * * [simplify]: Extracting #2: cost 73 inf + 0 80.885 * * [simplify]: Extracting #3: cost 112 inf + 4 80.886 * * [simplify]: Extracting #4: cost 111 inf + 372 80.887 * * [simplify]: Extracting #5: cost 109 inf + 593 80.889 * * [simplify]: Extracting #6: cost 91 inf + 3651 80.896 * * [simplify]: Extracting #7: cost 19 inf + 26769 80.904 * * [simplify]: Extracting #8: cost 0 inf + 33602 80.916 * [simplify]: Simplified to (+ (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 80.916 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))))) 80.917 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1))) 80.917 * * [simplify]: iters left: 6 (16 enodes) 80.923 * * [simplify]: iters left: 5 (63 enodes) 80.945 * * [simplify]: iters left: 4 (113 enodes) 80.993 * * [simplify]: iters left: 3 (256 enodes) 81.100 * * [simplify]: Extracting #0: cost 1 inf + 0 81.100 * * [simplify]: Extracting #1: cost 0 inf + 1 81.100 * [simplify]: Simplified to 0 81.100 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 0))) 81.100 * * * * [progress]: [ 42 / 2246 ] simplifiying candidate # 81.100 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 81.100 * * [simplify]: iters left: 6 (21 enodes) 81.107 * * [simplify]: iters left: 5 (83 enodes) 81.124 * * [simplify]: iters left: 4 (126 enodes) 81.165 * * [simplify]: iters left: 3 (262 enodes) 81.267 * * [simplify]: iters left: 2 (488 enodes) 81.478 * * [simplify]: Extracting #0: cost 1 inf + 0 81.478 * * [simplify]: Extracting #1: cost 19 inf + 0 81.478 * * [simplify]: Extracting #2: cost 72 inf + 0 81.479 * * [simplify]: Extracting #3: cost 129 inf + 4 81.480 * * [simplify]: Extracting #4: cost 123 inf + 963 81.482 * * [simplify]: Extracting #5: cost 99 inf + 4449 81.491 * * [simplify]: Extracting #6: cost 46 inf + 20126 81.513 * * [simplify]: Extracting #7: cost 6 inf + 35111 81.533 * * [simplify]: Extracting #8: cost 0 inf + 38473 81.544 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 81.544 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))))) 81.544 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)))) 81.544 * * [simplify]: iters left: 6 (17 enodes) 81.549 * * [simplify]: iters left: 5 (68 enodes) 81.561 * * [simplify]: iters left: 4 (101 enodes) 81.580 * * [simplify]: iters left: 3 (206 enodes) 81.654 * * [simplify]: iters left: 2 (407 enodes) 81.844 * * [simplify]: Extracting #0: cost 1 inf + 0 81.844 * * [simplify]: Extracting #1: cost 0 inf + 1 81.844 * [simplify]: Simplified to 0 81.844 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 81.844 * * * * [progress]: [ 43 / 2246 ] simplifiying candidate # 81.845 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 81.845 * * [simplify]: iters left: 6 (21 enodes) 81.851 * * [simplify]: iters left: 5 (83 enodes) 81.872 * * [simplify]: iters left: 4 (126 enodes) 81.902 * * [simplify]: iters left: 3 (262 enodes) 82.005 * * [simplify]: iters left: 2 (488 enodes) 82.228 * * [simplify]: Extracting #0: cost 1 inf + 0 82.228 * * [simplify]: Extracting #1: cost 19 inf + 0 82.229 * * [simplify]: Extracting #2: cost 72 inf + 0 82.230 * * [simplify]: Extracting #3: cost 129 inf + 4 82.231 * * [simplify]: Extracting #4: cost 123 inf + 963 82.234 * * [simplify]: Extracting #5: cost 99 inf + 4449 82.243 * * [simplify]: Extracting #6: cost 46 inf + 20126 82.262 * * [simplify]: Extracting #7: cost 6 inf + 35111 82.283 * * [simplify]: Extracting #8: cost 0 inf + 38473 82.307 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 82.307 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))))) 82.308 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)))) 82.308 * * [simplify]: iters left: 6 (17 enodes) 82.318 * * [simplify]: iters left: 5 (68 enodes) 82.335 * * [simplify]: iters left: 4 (101 enodes) 82.354 * * [simplify]: iters left: 3 (206 enodes) 82.434 * * [simplify]: iters left: 2 (407 enodes) 82.580 * * [simplify]: Extracting #0: cost 1 inf + 0 82.580 * * [simplify]: Extracting #1: cost 0 inf + 1 82.580 * [simplify]: Simplified to 0 82.580 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 82.580 * * * * [progress]: [ 44 / 2246 ] simplifiying candidate # 82.581 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 82.581 * * [simplify]: iters left: 6 (19 enodes) 82.586 * * [simplify]: iters left: 5 (74 enodes) 82.603 * * [simplify]: iters left: 4 (132 enodes) 82.657 * * [simplify]: iters left: 3 (277 enodes) 82.791 * * [simplify]: Extracting #0: cost 1 inf + 0 82.791 * * [simplify]: Extracting #1: cost 11 inf + 0 82.791 * * [simplify]: Extracting #2: cost 73 inf + 0 82.793 * * [simplify]: Extracting #3: cost 112 inf + 4 82.794 * * [simplify]: Extracting #4: cost 111 inf + 372 82.795 * * [simplify]: Extracting #5: cost 109 inf + 593 82.797 * * [simplify]: Extracting #6: cost 91 inf + 3651 82.808 * * [simplify]: Extracting #7: cost 19 inf + 26769 82.825 * * [simplify]: Extracting #8: cost 0 inf + 33602 82.838 * [simplify]: Simplified to (+ (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 82.838 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))))) 82.838 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1))) 82.838 * * [simplify]: iters left: 6 (16 enodes) 82.843 * * [simplify]: iters left: 5 (63 enodes) 82.854 * * [simplify]: iters left: 4 (113 enodes) 82.884 * * [simplify]: iters left: 3 (256 enodes) 82.992 * * [simplify]: Extracting #0: cost 1 inf + 0 82.992 * * [simplify]: Extracting #1: cost 0 inf + 1 82.992 * [simplify]: Simplified to 0 82.992 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 0))) 82.992 * * * * [progress]: [ 45 / 2246 ] simplifiying candidate # 82.993 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 82.993 * * [simplify]: iters left: 6 (21 enodes) 83.003 * * [simplify]: iters left: 5 (82 enodes) 83.020 * * [simplify]: iters left: 4 (158 enodes) 83.055 * * [simplify]: iters left: 3 (357 enodes) 83.210 * * [simplify]: Extracting #0: cost 1 inf + 0 83.211 * * [simplify]: Extracting #1: cost 11 inf + 0 83.211 * * [simplify]: Extracting #2: cost 89 inf + 0 83.212 * * [simplify]: Extracting #3: cost 145 inf + 3 83.213 * * [simplify]: Extracting #4: cost 139 inf + 381 83.216 * * [simplify]: Extracting #5: cost 125 inf + 2264 83.225 * * [simplify]: Extracting #6: cost 70 inf + 25059 83.244 * * [simplify]: Extracting #7: cost 8 inf + 51829 83.262 * * [simplify]: Extracting #8: cost 0 inf + 55531 83.280 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 83.280 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 83.280 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 83.281 * * [simplify]: iters left: 6 (18 enodes) 83.286 * * [simplify]: iters left: 5 (71 enodes) 83.299 * * [simplify]: iters left: 4 (135 enodes) 83.332 * * [simplify]: iters left: 3 (317 enodes) 83.516 * * [simplify]: Extracting #0: cost 1 inf + 0 83.516 * * [simplify]: Extracting #1: cost 0 inf + 1 83.516 * [simplify]: Simplified to 0 83.516 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 83.517 * * * * [progress]: [ 46 / 2246 ] simplifiying candidate # 83.518 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 83.518 * * [simplify]: iters left: 6 (20 enodes) 83.528 * * [simplify]: iters left: 5 (77 enodes) 83.558 * * [simplify]: iters left: 4 (131 enodes) 83.598 * * [simplify]: iters left: 3 (260 enodes) 83.682 * * [simplify]: iters left: 2 (462 enodes) 83.890 * * [simplify]: Extracting #0: cost 1 inf + 0 83.890 * * [simplify]: Extracting #1: cost 22 inf + 0 83.891 * * [simplify]: Extracting #2: cost 91 inf + 0 83.892 * * [simplify]: Extracting #3: cost 136 inf + 4 83.893 * * [simplify]: Extracting #4: cost 131 inf + 446 83.895 * * [simplify]: Extracting #5: cost 101 inf + 5371 83.907 * * [simplify]: Extracting #6: cost 41 inf + 25036 83.934 * * [simplify]: Extracting #7: cost 2 inf + 41165 83.958 * * [simplify]: Extracting #8: cost 0 inf + 42263 83.984 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 83.984 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 83.984 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 83.985 * * [simplify]: iters left: 6 (17 enodes) 83.993 * * [simplify]: iters left: 5 (66 enodes) 84.015 * * [simplify]: iters left: 4 (111 enodes) 84.048 * * [simplify]: iters left: 3 (224 enodes) 84.134 * * [simplify]: iters left: 2 (415 enodes) 84.310 * * [simplify]: Extracting #0: cost 1 inf + 0 84.310 * * [simplify]: Extracting #1: cost 0 inf + 1 84.310 * [simplify]: Simplified to 0 84.310 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 84.310 * * * * [progress]: [ 47 / 2246 ] simplifiying candidate # 84.311 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 84.311 * * [simplify]: iters left: 6 (19 enodes) 84.321 * * [simplify]: iters left: 5 (69 enodes) 84.345 * * [simplify]: iters left: 4 (121 enodes) 84.383 * * [simplify]: iters left: 3 (209 enodes) 84.436 * * [simplify]: iters left: 2 (367 enodes) 84.571 * * [simplify]: Extracting #0: cost 1 inf + 0 84.571 * * [simplify]: Extracting #1: cost 18 inf + 0 84.571 * * [simplify]: Extracting #2: cost 65 inf + 0 84.572 * * [simplify]: Extracting #3: cost 100 inf + 4 84.572 * * [simplify]: Extracting #4: cost 93 inf + 919 84.574 * * [simplify]: Extracting #5: cost 72 inf + 4873 84.578 * * [simplify]: Extracting #6: cost 25 inf + 19033 84.585 * * [simplify]: Extracting #7: cost 5 inf + 26966 84.592 * * [simplify]: Extracting #8: cost 0 inf + 29911 84.603 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 84.603 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))))) 84.604 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1))) 84.604 * * [simplify]: iters left: 6 (16 enodes) 84.613 * * [simplify]: iters left: 5 (58 enodes) 84.633 * * [simplify]: iters left: 4 (106 enodes) 84.674 * * [simplify]: iters left: 3 (186 enodes) 84.755 * * [simplify]: iters left: 2 (342 enodes) 84.884 * * [simplify]: iters left: 1 (486 enodes) 85.066 * * [simplify]: Extracting #0: cost 1 inf + 0 85.066 * * [simplify]: Extracting #1: cost 0 inf + 1 85.066 * [simplify]: Simplified to 0 85.066 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 85.067 * * * * [progress]: [ 48 / 2246 ] simplifiying candidate # 85.067 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 85.067 * * [simplify]: iters left: 6 (21 enodes) 85.083 * * [simplify]: iters left: 5 (81 enodes) 85.107 * * [simplify]: iters left: 4 (122 enodes) 85.127 * * [simplify]: iters left: 3 (194 enodes) 85.173 * * [simplify]: iters left: 2 (294 enodes) 85.263 * * [simplify]: iters left: 1 (457 enodes) 85.444 * * [simplify]: Extracting #0: cost 1 inf + 0 85.444 * * [simplify]: Extracting #1: cost 21 inf + 0 85.444 * * [simplify]: Extracting #2: cost 97 inf + 1 85.445 * * [simplify]: Extracting #3: cost 141 inf + 87 85.447 * * [simplify]: Extracting #4: cost 131 inf + 1560 85.453 * * [simplify]: Extracting #5: cost 84 inf + 12960 85.471 * * [simplify]: Extracting #6: cost 22 inf + 43293 85.495 * * [simplify]: Extracting #7: cost 0 inf + 53783 85.519 * * [simplify]: Extracting #8: cost 0 inf + 53703 85.542 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 85.542 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))))) 85.543 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1)))) 85.544 * * [simplify]: iters left: 6 (17 enodes) 85.555 * * [simplify]: iters left: 5 (66 enodes) 85.576 * * [simplify]: iters left: 4 (101 enodes) 85.610 * * [simplify]: iters left: 3 (170 enodes) 85.641 * * [simplify]: iters left: 2 (266 enodes) 85.711 * * [simplify]: iters left: 1 (380 enodes) 85.827 * * [simplify]: Extracting #0: cost 1 inf + 0 85.827 * * [simplify]: Extracting #1: cost 0 inf + 1 85.827 * [simplify]: Simplified to 0 85.827 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 85.828 * * * * [progress]: [ 49 / 2246 ] simplifiying candidate # 85.828 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 85.828 * * [simplify]: iters left: 6 (21 enodes) 85.836 * * [simplify]: iters left: 5 (81 enodes) 85.849 * * [simplify]: iters left: 4 (122 enodes) 85.872 * * [simplify]: iters left: 3 (194 enodes) 85.906 * * [simplify]: iters left: 2 (294 enodes) 86.030 * * [simplify]: iters left: 1 (457 enodes) 86.220 * * [simplify]: Extracting #0: cost 1 inf + 0 86.220 * * [simplify]: Extracting #1: cost 21 inf + 0 86.220 * * [simplify]: Extracting #2: cost 97 inf + 1 86.221 * * [simplify]: Extracting #3: cost 141 inf + 87 86.222 * * [simplify]: Extracting #4: cost 131 inf + 1560 86.225 * * [simplify]: Extracting #5: cost 84 inf + 12960 86.234 * * [simplify]: Extracting #6: cost 22 inf + 43293 86.246 * * [simplify]: Extracting #7: cost 0 inf + 53783 86.265 * * [simplify]: Extracting #8: cost 0 inf + 53703 86.284 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 86.284 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))))) 86.285 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1)))) 86.285 * * [simplify]: iters left: 6 (17 enodes) 86.291 * * [simplify]: iters left: 5 (66 enodes) 86.305 * * [simplify]: iters left: 4 (101 enodes) 86.328 * * [simplify]: iters left: 3 (170 enodes) 86.363 * * [simplify]: iters left: 2 (266 enodes) 86.439 * * [simplify]: iters left: 1 (380 enodes) 86.559 * * [simplify]: Extracting #0: cost 1 inf + 0 86.559 * * [simplify]: Extracting #1: cost 0 inf + 1 86.559 * [simplify]: Simplified to 0 86.559 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 86.559 * * * * [progress]: [ 50 / 2246 ] simplifiying candidate # 86.559 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 86.559 * * [simplify]: iters left: 6 (19 enodes) 86.565 * * [simplify]: iters left: 5 (69 enodes) 86.577 * * [simplify]: iters left: 4 (121 enodes) 86.613 * * [simplify]: iters left: 3 (209 enodes) 86.664 * * [simplify]: iters left: 2 (367 enodes) 86.814 * * [simplify]: Extracting #0: cost 1 inf + 0 86.814 * * [simplify]: Extracting #1: cost 18 inf + 0 86.814 * * [simplify]: Extracting #2: cost 65 inf + 0 86.815 * * [simplify]: Extracting #3: cost 100 inf + 4 86.816 * * [simplify]: Extracting #4: cost 93 inf + 919 86.817 * * [simplify]: Extracting #5: cost 72 inf + 4873 86.823 * * [simplify]: Extracting #6: cost 25 inf + 19033 86.830 * * [simplify]: Extracting #7: cost 5 inf + 26966 86.837 * * [simplify]: Extracting #8: cost 0 inf + 29911 86.845 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 86.845 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))))) 86.846 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1))) 86.846 * * [simplify]: iters left: 6 (16 enodes) 86.855 * * [simplify]: iters left: 5 (58 enodes) 86.874 * * [simplify]: iters left: 4 (106 enodes) 86.910 * * [simplify]: iters left: 3 (186 enodes) 86.994 * * [simplify]: iters left: 2 (342 enodes) 87.099 * * [simplify]: iters left: 1 (486 enodes) 87.281 * * [simplify]: Extracting #0: cost 1 inf + 0 87.282 * * [simplify]: Extracting #1: cost 0 inf + 1 87.282 * [simplify]: Simplified to 0 87.282 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 87.282 * * * * [progress]: [ 51 / 2246 ] simplifiying candidate # 87.282 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 87.282 * * [simplify]: iters left: 6 (22 enodes) 87.288 * * [simplify]: iters left: 5 (89 enodes) 87.304 * * [simplify]: iters left: 4 (191 enodes) 87.362 * * [simplify]: Extracting #0: cost 1 inf + 0 87.362 * * [simplify]: Extracting #1: cost 11 inf + 0 87.362 * * [simplify]: Extracting #2: cost 101 inf + 0 87.363 * * [simplify]: Extracting #3: cost 170 inf + 5 87.363 * * [simplify]: Extracting #4: cost 174 inf + 5 87.364 * * [simplify]: Extracting #5: cost 174 inf + 63 87.364 * * [simplify]: Extracting #6: cost 155 inf + 4313 87.366 * * [simplify]: Extracting #7: cost 141 inf + 7580 87.368 * * [simplify]: Extracting #8: cost 110 inf + 19098 87.379 * * [simplify]: Extracting #9: cost 32 inf + 58724 87.407 * * [simplify]: Extracting #10: cost 0 inf + 75462 87.425 * * [simplify]: Extracting #11: cost 0 inf + 75221 87.444 * [simplify]: Simplified to (- (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 87.444 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 87.444 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 87.445 * * [simplify]: iters left: 6 (19 enodes) 87.450 * * [simplify]: iters left: 5 (78 enodes) 87.476 * * [simplify]: iters left: 4 (164 enodes) 87.522 * * [simplify]: iters left: 3 (469 enodes) 87.934 * * [simplify]: Extracting #0: cost 1 inf + 0 87.934 * * [simplify]: Extracting #1: cost 0 inf + 1 87.934 * [simplify]: Simplified to 0 87.934 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 87.935 * * * * [progress]: [ 52 / 2246 ] simplifiying candidate # 87.935 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 87.935 * * [simplify]: iters left: 6 (21 enodes) 87.946 * * [simplify]: iters left: 5 (84 enodes) 87.962 * * [simplify]: iters left: 4 (161 enodes) 88.012 * * [simplify]: iters left: 3 (385 enodes) 88.222 * * [simplify]: Extracting #0: cost 1 inf + 0 88.222 * * [simplify]: Extracting #1: cost 11 inf + 0 88.222 * * [simplify]: Extracting #2: cost 131 inf + 0 88.223 * * [simplify]: Extracting #3: cost 238 inf + 5 88.224 * * [simplify]: Extracting #4: cost 241 inf + 6 88.225 * * [simplify]: Extracting #5: cost 228 inf + 2692 88.230 * * [simplify]: Extracting #6: cost 158 inf + 25012 88.271 * * [simplify]: Extracting #7: cost 26 inf + 81094 88.313 * * [simplify]: Extracting #8: cost 0 inf + 92652 88.340 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 88.341 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 88.341 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 88.342 * * [simplify]: iters left: 6 (18 enodes) 88.350 * * [simplify]: iters left: 5 (73 enodes) 88.375 * * [simplify]: iters left: 4 (136 enodes) 88.434 * * [simplify]: iters left: 3 (336 enodes) 88.647 * * [simplify]: Extracting #0: cost 1 inf + 0 88.647 * * [simplify]: Extracting #1: cost 0 inf + 1 88.647 * [simplify]: Simplified to 0 88.648 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 88.648 * * * * [progress]: [ 53 / 2246 ] simplifiying candidate # 88.648 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 88.648 * * [simplify]: iters left: 6 (20 enodes) 88.654 * * [simplify]: iters left: 5 (79 enodes) 88.672 * * [simplify]: iters left: 4 (151 enodes) 88.706 * * [simplify]: iters left: 3 (336 enodes) 88.864 * * [simplify]: Extracting #0: cost 1 inf + 0 88.864 * * [simplify]: Extracting #1: cost 11 inf + 0 88.864 * * [simplify]: Extracting #2: cost 103 inf + 0 88.865 * * [simplify]: Extracting #3: cost 155 inf + 5 88.866 * * [simplify]: Extracting #4: cost 158 inf + 7 88.866 * * [simplify]: Extracting #5: cost 157 inf + 122 88.867 * * [simplify]: Extracting #6: cost 125 inf + 7147 88.875 * * [simplify]: Extracting #7: cost 43 inf + 34003 88.887 * * [simplify]: Extracting #8: cost 0 inf + 49876 88.915 * * [simplify]: Extracting #9: cost 0 inf + 49751 88.939 * [simplify]: Simplified to (+ (/ (/ -1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 88.939 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ (/ -1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 88.940 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 88.940 * * [simplify]: iters left: 6 (17 enodes) 88.950 * * [simplify]: iters left: 5 (68 enodes) 88.975 * * [simplify]: iters left: 4 (127 enodes) 89.029 * * [simplify]: iters left: 3 (292 enodes) 89.215 * * [simplify]: Extracting #0: cost 1 inf + 0 89.215 * * [simplify]: Extracting #1: cost 0 inf + 1 89.215 * [simplify]: Simplified to 0 89.215 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 89.215 * * * * [progress]: [ 54 / 2246 ] simplifiying candidate # 89.216 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 89.216 * * [simplify]: iters left: 6 (22 enodes) 89.229 * * [simplify]: iters left: 5 (88 enodes) 89.254 * * [simplify]: iters left: 4 (138 enodes) 89.285 * * [simplify]: iters left: 3 (295 enodes) 89.394 * * [simplify]: Extracting #0: cost 1 inf + 0 89.394 * * [simplify]: Extracting #1: cost 11 inf + 0 89.394 * * [simplify]: Extracting #2: cost 105 inf + 0 89.395 * * [simplify]: Extracting #3: cost 162 inf + 5 89.395 * * [simplify]: Extracting #4: cost 166 inf + 7 89.396 * * [simplify]: Extracting #5: cost 165 inf + 122 89.397 * * [simplify]: Extracting #6: cost 144 inf + 4268 89.403 * * [simplify]: Extracting #7: cost 66 inf + 28501 89.415 * * [simplify]: Extracting #8: cost 1 inf + 52682 89.437 * * [simplify]: Extracting #9: cost 0 inf + 52931 89.459 * [simplify]: Simplified to (+ (/ (/ -1/2 (cbrt (hypot 1 x))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 89.459 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ (/ -1/2 (cbrt (hypot 1 x))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 89.460 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 89.460 * * [simplify]: iters left: 6 (18 enodes) 89.471 * * [simplify]: iters left: 5 (73 enodes) 89.492 * * [simplify]: iters left: 4 (112 enodes) 89.512 * * [simplify]: iters left: 3 (236 enodes) 89.626 * * [simplify]: Extracting #0: cost 1 inf + 0 89.626 * * [simplify]: Extracting #1: cost 20 inf + 0 89.626 * * [simplify]: Extracting #2: cost 95 inf + 1 89.627 * * [simplify]: Extracting #3: cost 118 inf + 4 89.627 * * [simplify]: Extracting #4: cost 111 inf + 1145 89.628 * * [simplify]: Extracting #5: cost 86 inf + 6974 89.630 * * [simplify]: Extracting #6: cost 75 inf + 9748 89.632 * * [simplify]: Extracting #7: cost 70 inf + 10597 89.638 * * [simplify]: Extracting #8: cost 17 inf + 29887 89.647 * * [simplify]: Extracting #9: cost 0 inf + 36382 89.658 * * [simplify]: Extracting #10: cost 0 inf + 36332 89.676 * [simplify]: Simplified to (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 89.677 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) 89.677 * * * * [progress]: [ 55 / 2246 ] simplifiying candidate # 89.678 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 89.678 * * [simplify]: iters left: 6 (22 enodes) 89.687 * * [simplify]: iters left: 5 (88 enodes) 89.701 * * [simplify]: iters left: 4 (138 enodes) 89.744 * * [simplify]: iters left: 3 (295 enodes) 89.891 * * [simplify]: Extracting #0: cost 1 inf + 0 89.891 * * [simplify]: Extracting #1: cost 11 inf + 0 89.891 * * [simplify]: Extracting #2: cost 105 inf + 0 89.892 * * [simplify]: Extracting #3: cost 162 inf + 5 89.893 * * [simplify]: Extracting #4: cost 166 inf + 7 89.894 * * [simplify]: Extracting #5: cost 165 inf + 122 89.896 * * [simplify]: Extracting #6: cost 144 inf + 4268 89.905 * * [simplify]: Extracting #7: cost 66 inf + 28501 89.923 * * [simplify]: Extracting #8: cost 1 inf + 52682 89.935 * * [simplify]: Extracting #9: cost 0 inf + 52931 89.950 * [simplify]: Simplified to (+ (/ (/ -1/2 (cbrt (hypot 1 x))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 89.950 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ (/ -1/2 (cbrt (hypot 1 x))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 89.951 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 89.951 * * [simplify]: iters left: 6 (18 enodes) 89.961 * * [simplify]: iters left: 5 (73 enodes) 89.981 * * [simplify]: iters left: 4 (112 enodes) 90.007 * * [simplify]: iters left: 3 (236 enodes) 90.157 * * [simplify]: Extracting #0: cost 1 inf + 0 90.157 * * [simplify]: Extracting #1: cost 20 inf + 0 90.158 * * [simplify]: Extracting #2: cost 95 inf + 1 90.159 * * [simplify]: Extracting #3: cost 118 inf + 4 90.160 * * [simplify]: Extracting #4: cost 111 inf + 1145 90.162 * * [simplify]: Extracting #5: cost 86 inf + 6974 90.165 * * [simplify]: Extracting #6: cost 75 inf + 9748 90.167 * * [simplify]: Extracting #7: cost 70 inf + 10597 90.173 * * [simplify]: Extracting #8: cost 17 inf + 29887 90.182 * * [simplify]: Extracting #9: cost 0 inf + 36382 90.195 * * [simplify]: Extracting #10: cost 0 inf + 36332 90.214 * [simplify]: Simplified to (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 90.214 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) 90.215 * * * * [progress]: [ 56 / 2246 ] simplifiying candidate # 90.215 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 90.216 * * [simplify]: iters left: 6 (20 enodes) 90.226 * * [simplify]: iters left: 5 (79 enodes) 90.255 * * [simplify]: iters left: 4 (151 enodes) 90.324 * * [simplify]: iters left: 3 (336 enodes) 90.541 * * [simplify]: Extracting #0: cost 1 inf + 0 90.541 * * [simplify]: Extracting #1: cost 11 inf + 0 90.542 * * [simplify]: Extracting #2: cost 103 inf + 0 90.543 * * [simplify]: Extracting #3: cost 155 inf + 5 90.544 * * [simplify]: Extracting #4: cost 158 inf + 7 90.546 * * [simplify]: Extracting #5: cost 157 inf + 122 90.548 * * [simplify]: Extracting #6: cost 125 inf + 7147 90.562 * * [simplify]: Extracting #7: cost 43 inf + 34003 90.575 * * [simplify]: Extracting #8: cost 0 inf + 49876 90.588 * * [simplify]: Extracting #9: cost 0 inf + 49751 90.602 * [simplify]: Simplified to (+ (/ (/ -1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 90.602 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ (/ -1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 90.603 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 90.603 * * [simplify]: iters left: 6 (17 enodes) 90.616 * * [simplify]: iters left: 5 (68 enodes) 90.640 * * [simplify]: iters left: 4 (127 enodes) 90.694 * * [simplify]: iters left: 3 (292 enodes) 90.869 * * [simplify]: Extracting #0: cost 1 inf + 0 90.870 * * [simplify]: Extracting #1: cost 0 inf + 1 90.870 * [simplify]: Simplified to 0 90.870 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 90.870 * * * * [progress]: [ 57 / 2246 ] simplifiying candidate # 90.870 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 90.870 * * [simplify]: iters left: 6 (21 enodes) 90.876 * * [simplify]: iters left: 5 (84 enodes) 90.892 * * [simplify]: iters left: 4 (176 enodes) 90.944 * * [simplify]: iters left: 3 (415 enodes) 91.178 * * [simplify]: Extracting #0: cost 1 inf + 0 91.178 * * [simplify]: Extracting #1: cost 11 inf + 0 91.179 * * [simplify]: Extracting #2: cost 148 inf + 0 91.181 * * [simplify]: Extracting #3: cost 277 inf + 5 91.184 * * [simplify]: Extracting #4: cost 280 inf + 6 91.186 * * [simplify]: Extracting #5: cost 272 inf + 1083 91.190 * * [simplify]: Extracting #6: cost 252 inf + 4494 91.196 * * [simplify]: Extracting #7: cost 229 inf + 11711 91.225 * * [simplify]: Extracting #8: cost 75 inf + 82018 91.263 * * [simplify]: Extracting #9: cost 1 inf + 117712 91.297 * * [simplify]: Extracting #10: cost 0 inf + 118010 91.331 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 91.332 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 91.332 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 91.332 * * [simplify]: iters left: 6 (18 enodes) 91.337 * * [simplify]: iters left: 5 (73 enodes) 91.352 * * [simplify]: iters left: 4 (149 enodes) 91.407 * * [simplify]: iters left: 3 (359 enodes) 91.605 * * [simplify]: Extracting #0: cost 1 inf + 0 91.606 * * [simplify]: Extracting #1: cost 0 inf + 1 91.606 * [simplify]: Simplified to 0 91.606 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 91.606 * * * * [progress]: [ 58 / 2246 ] simplifiying candidate # 91.607 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 91.607 * * [simplify]: iters left: 6 (20 enodes) 91.617 * * [simplify]: iters left: 5 (78 enodes) 91.632 * * [simplify]: iters left: 4 (146 enodes) 91.671 * * [simplify]: iters left: 3 (306 enodes) 91.813 * * [simplify]: Extracting #0: cost 1 inf + 0 91.813 * * [simplify]: Extracting #1: cost 11 inf + 0 91.813 * * [simplify]: Extracting #2: cost 115 inf + 0 91.815 * * [simplify]: Extracting #3: cost 184 inf + 5 91.816 * * [simplify]: Extracting #4: cost 187 inf + 6 91.817 * * [simplify]: Extracting #5: cost 177 inf + 1360 91.823 * * [simplify]: Extracting #6: cost 130 inf + 13861 91.849 * * [simplify]: Extracting #7: cost 14 inf + 58494 91.883 * * [simplify]: Extracting #8: cost 0 inf + 63871 91.905 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (* (sqrt (hypot 1 x)) (sqrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 91.905 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (* (sqrt (hypot 1 x)) (sqrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 91.906 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 91.906 * * [simplify]: iters left: 6 (17 enodes) 91.910 * * [simplify]: iters left: 5 (67 enodes) 91.923 * * [simplify]: iters left: 4 (121 enodes) 91.950 * * [simplify]: iters left: 3 (261 enodes) 92.082 * * [simplify]: Extracting #0: cost 1 inf + 0 92.082 * * [simplify]: Extracting #1: cost 0 inf + 1 92.082 * [simplify]: Simplified to 0 92.082 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 92.082 * * * * [progress]: [ 59 / 2246 ] simplifiying candidate # 92.083 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 92.083 * * [simplify]: iters left: 6 (19 enodes) 92.092 * * [simplify]: iters left: 5 (74 enodes) 92.108 * * [simplify]: iters left: 4 (131 enodes) 92.139 * * [simplify]: iters left: 3 (259 enodes) 92.275 * * [simplify]: Extracting #0: cost 1 inf + 0 92.275 * * [simplify]: Extracting #1: cost 11 inf + 0 92.275 * * [simplify]: Extracting #2: cost 90 inf + 0 92.276 * * [simplify]: Extracting #3: cost 115 inf + 5 92.280 * * [simplify]: Extracting #4: cost 118 inf + 7 92.280 * * [simplify]: Extracting #5: cost 117 inf + 122 92.281 * * [simplify]: Extracting #6: cost 96 inf + 3751 92.286 * * [simplify]: Extracting #7: cost 30 inf + 23110 92.294 * * [simplify]: Extracting #8: cost 2 inf + 32423 92.302 * * [simplify]: Extracting #9: cost 0 inf + 33089 92.311 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) 92.311 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))))) 92.311 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1))) 92.312 * * [simplify]: iters left: 6 (16 enodes) 92.320 * * [simplify]: iters left: 5 (63 enodes) 92.341 * * [simplify]: iters left: 4 (109 enodes) 92.365 * * [simplify]: iters left: 3 (230 enodes) 92.472 * * [simplify]: Extracting #0: cost 1 inf + 0 92.472 * * [simplify]: Extracting #1: cost 0 inf + 1 92.472 * [simplify]: Simplified to 0 92.472 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 0))) 92.472 * * * * [progress]: [ 60 / 2246 ] simplifiying candidate # 92.473 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 92.473 * * [simplify]: iters left: 6 (21 enodes) 92.484 * * [simplify]: iters left: 5 (83 enodes) 92.511 * * [simplify]: iters left: 4 (127 enodes) 92.553 * * [simplify]: iters left: 3 (264 enodes) 92.646 * * [simplify]: Extracting #0: cost 1 inf + 0 92.646 * * [simplify]: Extracting #1: cost 11 inf + 0 92.646 * * [simplify]: Extracting #2: cost 86 inf + 0 92.647 * * [simplify]: Extracting #3: cost 119 inf + 5 92.648 * * [simplify]: Extracting #4: cost 123 inf + 7 92.649 * * [simplify]: Extracting #5: cost 123 inf + 65 92.653 * * [simplify]: Extracting #6: cost 98 inf + 4123 92.660 * * [simplify]: Extracting #7: cost 42 inf + 19337 92.676 * * [simplify]: Extracting #8: cost 0 inf + 33718 92.692 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) 92.692 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))))) 92.693 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)))) 92.693 * * [simplify]: iters left: 6 (17 enodes) 92.703 * * [simplify]: iters left: 5 (68 enodes) 92.726 * * [simplify]: iters left: 4 (102 enodes) 92.762 * * [simplify]: iters left: 3 (202 enodes) 92.842 * * [simplify]: iters left: 2 (433 enodes) 93.113 * * [simplify]: Extracting #0: cost 1 inf + 0 93.113 * * [simplify]: Extracting #1: cost 0 inf + 1 93.113 * [simplify]: Simplified to 0 93.113 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 93.114 * * * * [progress]: [ 61 / 2246 ] simplifiying candidate # 93.114 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 93.114 * * [simplify]: iters left: 6 (21 enodes) 93.120 * * [simplify]: iters left: 5 (83 enodes) 93.140 * * [simplify]: iters left: 4 (127 enodes) 93.186 * * [simplify]: iters left: 3 (264 enodes) 93.272 * * [simplify]: Extracting #0: cost 1 inf + 0 93.272 * * [simplify]: Extracting #1: cost 11 inf + 0 93.273 * * [simplify]: Extracting #2: cost 86 inf + 0 93.273 * * [simplify]: Extracting #3: cost 119 inf + 5 93.274 * * [simplify]: Extracting #4: cost 123 inf + 7 93.275 * * [simplify]: Extracting #5: cost 123 inf + 65 93.277 * * [simplify]: Extracting #6: cost 98 inf + 4123 93.284 * * [simplify]: Extracting #7: cost 42 inf + 19337 93.293 * * [simplify]: Extracting #8: cost 0 inf + 33718 93.303 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) 93.304 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))))) 93.304 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)))) 93.304 * * [simplify]: iters left: 6 (17 enodes) 93.311 * * [simplify]: iters left: 5 (68 enodes) 93.333 * * [simplify]: iters left: 4 (102 enodes) 93.370 * * [simplify]: iters left: 3 (202 enodes) 93.452 * * [simplify]: iters left: 2 (433 enodes) 93.702 * * [simplify]: Extracting #0: cost 1 inf + 0 93.702 * * [simplify]: Extracting #1: cost 0 inf + 1 93.702 * [simplify]: Simplified to 0 93.702 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 93.702 * * * * [progress]: [ 62 / 2246 ] simplifiying candidate # 93.702 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 93.702 * * [simplify]: iters left: 6 (19 enodes) 93.707 * * [simplify]: iters left: 5 (74 enodes) 93.723 * * [simplify]: iters left: 4 (131 enodes) 93.752 * * [simplify]: iters left: 3 (259 enodes) 93.882 * * [simplify]: Extracting #0: cost 1 inf + 0 93.882 * * [simplify]: Extracting #1: cost 11 inf + 0 93.882 * * [simplify]: Extracting #2: cost 90 inf + 0 93.883 * * [simplify]: Extracting #3: cost 115 inf + 5 93.883 * * [simplify]: Extracting #4: cost 118 inf + 7 93.884 * * [simplify]: Extracting #5: cost 117 inf + 122 93.885 * * [simplify]: Extracting #6: cost 96 inf + 3751 93.892 * * [simplify]: Extracting #7: cost 30 inf + 23110 93.900 * * [simplify]: Extracting #8: cost 2 inf + 32423 93.909 * * [simplify]: Extracting #9: cost 0 inf + 33089 93.920 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) 93.920 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))))) 93.921 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1))) 93.921 * * [simplify]: iters left: 6 (16 enodes) 93.929 * * [simplify]: iters left: 5 (63 enodes) 93.951 * * [simplify]: iters left: 4 (109 enodes) 93.998 * * [simplify]: iters left: 3 (230 enodes) 94.121 * * [simplify]: Extracting #0: cost 1 inf + 0 94.121 * * [simplify]: Extracting #1: cost 0 inf + 1 94.121 * [simplify]: Simplified to 0 94.121 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 0))) 94.122 * * * * [progress]: [ 63 / 2246 ] simplifiying candidate # 94.122 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 94.123 * * [simplify]: iters left: 6 (19 enodes) 94.132 * * [simplify]: iters left: 5 (74 enodes) 94.158 * * [simplify]: iters left: 4 (148 enodes) 94.197 * * [simplify]: iters left: 3 (330 enodes) 94.364 * * [simplify]: Extracting #0: cost 1 inf + 0 94.364 * * [simplify]: Extracting #1: cost 11 inf + 0 94.365 * * [simplify]: Extracting #2: cost 114 inf + 0 94.366 * * [simplify]: Extracting #3: cost 167 inf + 5 94.367 * * [simplify]: Extracting #4: cost 167 inf + 7 94.368 * * [simplify]: Extracting #5: cost 161 inf + 691 94.370 * * [simplify]: Extracting #6: cost 155 inf + 1558 94.381 * * [simplify]: Extracting #7: cost 82 inf + 29621 94.411 * * [simplify]: Extracting #8: cost 8 inf + 60193 94.447 * * [simplify]: Extracting #9: cost 0 inf + 63621 94.482 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 94.482 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 94.483 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 94.483 * * [simplify]: iters left: 6 (16 enodes) 94.491 * * [simplify]: iters left: 5 (63 enodes) 94.513 * * [simplify]: iters left: 4 (123 enodes) 94.546 * * [simplify]: iters left: 3 (281 enodes) 94.736 * * [simplify]: Extracting #0: cost 1 inf + 0 94.736 * * [simplify]: Extracting #1: cost 0 inf + 1 94.736 * [simplify]: Simplified to 0 94.736 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 94.737 * * * * [progress]: [ 64 / 2246 ] simplifiying candidate # 94.737 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 94.737 * * [simplify]: iters left: 6 (18 enodes) 94.742 * * [simplify]: iters left: 5 (69 enodes) 94.761 * * [simplify]: iters left: 4 (124 enodes) 94.812 * * [simplify]: iters left: 3 (233 enodes) 94.905 * * [simplify]: iters left: 2 (430 enodes) 95.140 * * [simplify]: Extracting #0: cost 1 inf + 0 95.140 * * [simplify]: Extracting #1: cost 36 inf + 0 95.141 * * [simplify]: Extracting #2: cost 111 inf + 3 95.142 * * [simplify]: Extracting #3: cost 139 inf + 6 95.143 * * [simplify]: Extracting #4: cost 132 inf + 691 95.144 * * [simplify]: Extracting #5: cost 122 inf + 1929 95.148 * * [simplify]: Extracting #6: cost 100 inf + 7651 95.165 * * [simplify]: Extracting #7: cost 27 inf + 33017 95.184 * * [simplify]: Extracting #8: cost 0 inf + 42809 95.196 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 95.196 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 95.196 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 95.196 * * [simplify]: iters left: 6 (15 enodes) 95.200 * * [simplify]: iters left: 5 (58 enodes) 95.217 * * [simplify]: iters left: 4 (101 enodes) 95.245 * * [simplify]: iters left: 3 (184 enodes) 95.306 * * [simplify]: iters left: 2 (365 enodes) 95.485 * * [simplify]: Extracting #0: cost 1 inf + 0 95.485 * * [simplify]: Extracting #1: cost 0 inf + 1 95.485 * [simplify]: Simplified to 0 95.485 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 95.485 * * * * [progress]: [ 65 / 2246 ] simplifiying candidate # 95.486 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 95.486 * * [simplify]: iters left: 6 (17 enodes) 95.494 * * [simplify]: iters left: 5 (63 enodes) 95.519 * * [simplify]: iters left: 4 (89 enodes) 95.537 * * [simplify]: iters left: 3 (133 enodes) 95.558 * * [simplify]: iters left: 2 (175 enodes) 95.589 * * [simplify]: iters left: 1 (298 enodes) 95.758 * * [simplify]: Extracting #0: cost 1 inf + 0 95.759 * * [simplify]: Extracting #1: cost 13 inf + 0 95.759 * * [simplify]: Extracting #2: cost 140 inf + 2 95.760 * * [simplify]: Extracting #3: cost 197 inf + 6 95.762 * * [simplify]: Extracting #4: cost 192 inf + 847 95.764 * * [simplify]: Extracting #5: cost 183 inf + 1889 95.768 * * [simplify]: Extracting #6: cost 154 inf + 9623 95.784 * * [simplify]: Extracting #7: cost 59 inf + 47820 95.799 * * [simplify]: Extracting #8: cost 7 inf + 74913 95.817 * * [simplify]: Extracting #9: cost 0 inf + 79277 95.846 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 95.846 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))))) 95.846 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1))) 95.847 * * [simplify]: iters left: 6 (14 enodes) 95.853 * * [simplify]: iters left: 5 (51 enodes) 95.869 * * [simplify]: iters left: 4 (77 enodes) 95.882 * * [simplify]: iters left: 3 (112 enodes) 95.906 * * [simplify]: iters left: 2 (165 enodes) 95.945 * * [simplify]: iters left: 1 (238 enodes) 96.024 * * [simplify]: Extracting #0: cost 1 inf + 0 96.024 * * [simplify]: Extracting #1: cost 0 inf + 1 96.024 * [simplify]: Simplified to 0 96.024 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 96.024 * * * * [progress]: [ 66 / 2246 ] simplifiying candidate # 96.024 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 96.025 * * [simplify]: iters left: 6 (19 enodes) 96.031 * * [simplify]: iters left: 5 (74 enodes) 96.044 * * [simplify]: iters left: 4 (97 enodes) 96.071 * * [simplify]: iters left: 3 (144 enodes) 96.107 * * [simplify]: iters left: 2 (203 enodes) 96.169 * * [simplify]: iters left: 1 (386 enodes) 96.776 * * [simplify]: Extracting #0: cost 1 inf + 0 96.776 * * [simplify]: Extracting #1: cost 17 inf + 0 96.777 * * [simplify]: Extracting #2: cost 159 inf + 2 96.778 * * [simplify]: Extracting #3: cost 263 inf + 6 96.779 * * [simplify]: Extracting #4: cost 253 inf + 1142 96.781 * * [simplify]: Extracting #5: cost 223 inf + 6530 96.794 * * [simplify]: Extracting #6: cost 171 inf + 21596 96.819 * * [simplify]: Extracting #7: cost 82 inf + 61175 96.858 * * [simplify]: Extracting #8: cost 2 inf + 102943 96.900 * * [simplify]: Extracting #9: cost 0 inf + 104203 96.941 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 96.942 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))))) 96.942 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1)))) 96.943 * * [simplify]: iters left: 6 (15 enodes) 96.952 * * [simplify]: iters left: 5 (58 enodes) 96.976 * * [simplify]: iters left: 4 (94 enodes) 97.008 * * [simplify]: iters left: 3 (132 enodes) 97.046 * * [simplify]: iters left: 2 (179 enodes) 97.119 * * [simplify]: iters left: 1 (300 enodes) 97.270 * * [simplify]: Extracting #0: cost 1 inf + 0 97.270 * * [simplify]: Extracting #1: cost 0 inf + 1 97.270 * [simplify]: Simplified to 0 97.270 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 97.270 * * * * [progress]: [ 67 / 2246 ] simplifiying candidate # 97.270 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 97.270 * * [simplify]: iters left: 6 (19 enodes) 97.277 * * [simplify]: iters left: 5 (74 enodes) 97.289 * * [simplify]: iters left: 4 (97 enodes) 97.309 * * [simplify]: iters left: 3 (144 enodes) 97.352 * * [simplify]: iters left: 2 (203 enodes) 97.440 * * [simplify]: iters left: 1 (386 enodes) 97.755 * * [simplify]: Extracting #0: cost 1 inf + 0 97.755 * * [simplify]: Extracting #1: cost 17 inf + 0 97.756 * * [simplify]: Extracting #2: cost 159 inf + 2 97.757 * * [simplify]: Extracting #3: cost 263 inf + 6 97.758 * * [simplify]: Extracting #4: cost 253 inf + 1142 97.761 * * [simplify]: Extracting #5: cost 223 inf + 6530 97.767 * * [simplify]: Extracting #6: cost 171 inf + 21596 97.786 * * [simplify]: Extracting #7: cost 82 inf + 61175 97.827 * * [simplify]: Extracting #8: cost 2 inf + 102943 97.872 * * [simplify]: Extracting #9: cost 0 inf + 104203 97.913 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 97.913 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))))) 97.914 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1)))) 97.914 * * [simplify]: iters left: 6 (15 enodes) 97.923 * * [simplify]: iters left: 5 (58 enodes) 97.937 * * [simplify]: iters left: 4 (94 enodes) 97.953 * * [simplify]: iters left: 3 (132 enodes) 97.982 * * [simplify]: iters left: 2 (179 enodes) 98.035 * * [simplify]: iters left: 1 (300 enodes) 98.174 * * [simplify]: Extracting #0: cost 1 inf + 0 98.174 * * [simplify]: Extracting #1: cost 0 inf + 1 98.174 * [simplify]: Simplified to 0 98.174 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 98.174 * * * * [progress]: [ 68 / 2246 ] simplifiying candidate # 98.175 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 98.175 * * [simplify]: iters left: 6 (17 enodes) 98.180 * * [simplify]: iters left: 5 (63 enodes) 98.191 * * [simplify]: iters left: 4 (89 enodes) 98.213 * * [simplify]: iters left: 3 (133 enodes) 98.234 * * [simplify]: iters left: 2 (175 enodes) 98.285 * * [simplify]: iters left: 1 (298 enodes) 98.421 * * [simplify]: Extracting #0: cost 1 inf + 0 98.421 * * [simplify]: Extracting #1: cost 13 inf + 0 98.421 * * [simplify]: Extracting #2: cost 140 inf + 2 98.422 * * [simplify]: Extracting #3: cost 197 inf + 6 98.423 * * [simplify]: Extracting #4: cost 192 inf + 847 98.426 * * [simplify]: Extracting #5: cost 183 inf + 1889 98.428 * * [simplify]: Extracting #6: cost 154 inf + 9623 98.437 * * [simplify]: Extracting #7: cost 59 inf + 47820 98.454 * * [simplify]: Extracting #8: cost 7 inf + 74913 98.484 * * [simplify]: Extracting #9: cost 0 inf + 79277 98.500 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 98.500 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))))) 98.500 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1))) 98.500 * * [simplify]: iters left: 6 (14 enodes) 98.504 * * [simplify]: iters left: 5 (51 enodes) 98.515 * * [simplify]: iters left: 4 (77 enodes) 98.539 * * [simplify]: iters left: 3 (112 enodes) 98.580 * * [simplify]: iters left: 2 (165 enodes) 98.623 * * [simplify]: iters left: 1 (238 enodes) 98.701 * * [simplify]: Extracting #0: cost 1 inf + 0 98.701 * * [simplify]: Extracting #1: cost 0 inf + 1 98.701 * [simplify]: Simplified to 0 98.701 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 98.701 * * * * [progress]: [ 69 / 2246 ] simplifiying candidate # 98.701 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 98.701 * * [simplify]: iters left: 6 (18 enodes) 98.706 * * [simplify]: iters left: 5 (73 enodes) 98.719 * * [simplify]: iters left: 4 (143 enodes) 98.772 * * [simplify]: iters left: 3 (304 enodes) 98.923 * * [simplify]: Extracting #0: cost 1 inf + 0 98.923 * * [simplify]: Extracting #1: cost 11 inf + 0 98.923 * * [simplify]: Extracting #2: cost 109 inf + 0 98.924 * * [simplify]: Extracting #3: cost 151 inf + 5 98.925 * * [simplify]: Extracting #4: cost 146 inf + 415 98.926 * * [simplify]: Extracting #5: cost 140 inf + 1460 98.933 * * [simplify]: Extracting #6: cost 76 inf + 25833 98.948 * * [simplify]: Extracting #7: cost 3 inf + 56193 98.976 * * [simplify]: Extracting #8: cost 0 inf + 57488 99.008 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 99.008 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 99.009 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 99.010 * * [simplify]: iters left: 6 (15 enodes) 99.017 * * [simplify]: iters left: 5 (62 enodes) 99.034 * * [simplify]: iters left: 4 (118 enodes) 99.068 * * [simplify]: iters left: 3 (252 enodes) 99.170 * * [simplify]: Extracting #0: cost 1 inf + 0 99.170 * * [simplify]: Extracting #1: cost 0 inf + 1 99.170 * [simplify]: Simplified to 0 99.170 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 99.170 * * * * [progress]: [ 70 / 2246 ] simplifiying candidate # 99.171 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 99.171 * * [simplify]: iters left: 6 (17 enodes) 99.175 * * [simplify]: iters left: 5 (68 enodes) 99.188 * * [simplify]: iters left: 4 (121 enodes) 99.223 * * [simplify]: iters left: 3 (228 enodes) 99.327 * * [simplify]: iters left: 2 (442 enodes) 99.595 * * [simplify]: Extracting #0: cost 1 inf + 0 99.595 * * [simplify]: Extracting #1: cost 36 inf + 0 99.596 * * [simplify]: Extracting #2: cost 111 inf + 3 99.597 * * [simplify]: Extracting #3: cost 143 inf + 6 99.598 * * [simplify]: Extracting #4: cost 137 inf + 553 99.600 * * [simplify]: Extracting #5: cost 125 inf + 2306 99.604 * * [simplify]: Extracting #6: cost 104 inf + 7571 99.618 * * [simplify]: Extracting #7: cost 37 inf + 30449 99.637 * * [simplify]: Extracting #8: cost 0 inf + 44086 99.649 * [simplify]: Simplified to (* (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1/2 (/ 1/2 (hypot 1 x)))) 99.649 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1/2 (/ 1/2 (hypot 1 x)))) (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 99.650 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 99.650 * * [simplify]: iters left: 6 (14 enodes) 99.654 * * [simplify]: iters left: 5 (57 enodes) 99.671 * * [simplify]: iters left: 4 (98 enodes) 99.693 * * [simplify]: iters left: 3 (181 enodes) 99.777 * * [simplify]: iters left: 2 (360 enodes) 99.938 * * [simplify]: Extracting #0: cost 1 inf + 0 99.938 * * [simplify]: Extracting #1: cost 0 inf + 1 99.938 * [simplify]: Simplified to 0 99.938 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (* (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1/2 (/ 1/2 (hypot 1 x)))) 0))) 99.939 * * * * [progress]: [ 71 / 2246 ] simplifiying candidate # 99.939 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 99.939 * * [simplify]: iters left: 6 (16 enodes) 99.943 * * [simplify]: iters left: 5 (62 enodes) 99.954 * * [simplify]: iters left: 4 (88 enodes) 99.977 * * [simplify]: iters left: 3 (132 enodes) 100.023 * * [simplify]: iters left: 2 (174 enodes) 100.083 * * [simplify]: iters left: 1 (297 enodes) 100.233 * * [simplify]: Extracting #0: cost 1 inf + 0 100.233 * * [simplify]: Extracting #1: cost 13 inf + 0 100.234 * * [simplify]: Extracting #2: cost 142 inf + 2 100.235 * * [simplify]: Extracting #3: cost 197 inf + 6 100.237 * * [simplify]: Extracting #4: cost 194 inf + 611 100.240 * * [simplify]: Extracting #5: cost 164 inf + 6799 100.257 * * [simplify]: Extracting #6: cost 62 inf + 46163 100.275 * * [simplify]: Extracting #7: cost 5 inf + 75749 100.290 * * [simplify]: Extracting #8: cost 0 inf + 79066 100.319 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 100.319 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))))) 100.319 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1))) 100.320 * * [simplify]: iters left: 6 (13 enodes) 100.326 * * [simplify]: iters left: 5 (50 enodes) 100.349 * * [simplify]: iters left: 4 (76 enodes) 100.374 * * [simplify]: iters left: 3 (111 enodes) 100.406 * * [simplify]: iters left: 2 (147 enodes) 100.432 * * [simplify]: iters left: 1 (234 enodes) 100.501 * * [simplify]: Extracting #0: cost 1 inf + 0 100.502 * * [simplify]: Extracting #1: cost 0 inf + 1 100.502 * [simplify]: Simplified to 0 100.502 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 100.502 * * * * [progress]: [ 72 / 2246 ] simplifiying candidate # 100.502 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 100.503 * * [simplify]: iters left: 6 (18 enodes) 100.515 * * [simplify]: iters left: 5 (73 enodes) 100.537 * * [simplify]: iters left: 4 (96 enodes) 100.568 * * [simplify]: iters left: 3 (143 enodes) 100.592 * * [simplify]: iters left: 2 (202 enodes) 100.649 * * [simplify]: iters left: 1 (386 enodes) 100.917 * * [simplify]: Extracting #0: cost 1 inf + 0 100.918 * * [simplify]: Extracting #1: cost 17 inf + 0 100.918 * * [simplify]: Extracting #2: cost 159 inf + 2 100.919 * * [simplify]: Extracting #3: cost 263 inf + 6 100.920 * * [simplify]: Extracting #4: cost 251 inf + 1421 100.922 * * [simplify]: Extracting #5: cost 237 inf + 3034 100.924 * * [simplify]: Extracting #6: cost 216 inf + 8019 100.933 * * [simplify]: Extracting #7: cost 124 inf + 44310 100.952 * * [simplify]: Extracting #8: cost 11 inf + 99358 100.998 * * [simplify]: Extracting #9: cost 0 inf + 104203 101.022 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 101.022 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))))) 101.022 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1)))) 101.022 * * [simplify]: iters left: 6 (14 enodes) 101.027 * * [simplify]: iters left: 5 (57 enodes) 101.038 * * [simplify]: iters left: 4 (93 enodes) 101.054 * * [simplify]: iters left: 3 (131 enodes) 101.084 * * [simplify]: iters left: 2 (178 enodes) 101.154 * * [simplify]: iters left: 1 (299 enodes) 101.276 * * [simplify]: Extracting #0: cost 1 inf + 0 101.276 * * [simplify]: Extracting #1: cost 0 inf + 1 101.276 * [simplify]: Simplified to 0 101.276 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 101.277 * * * * [progress]: [ 73 / 2246 ] simplifiying candidate # 101.277 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 101.277 * * [simplify]: iters left: 6 (18 enodes) 101.290 * * [simplify]: iters left: 5 (73 enodes) 101.313 * * [simplify]: iters left: 4 (96 enodes) 101.336 * * [simplify]: iters left: 3 (143 enodes) 101.361 * * [simplify]: iters left: 2 (202 enodes) 101.424 * * [simplify]: iters left: 1 (386 enodes) 101.681 * * [simplify]: Extracting #0: cost 1 inf + 0 101.681 * * [simplify]: Extracting #1: cost 17 inf + 0 101.681 * * [simplify]: Extracting #2: cost 159 inf + 2 101.682 * * [simplify]: Extracting #3: cost 263 inf + 6 101.684 * * [simplify]: Extracting #4: cost 251 inf + 1421 101.687 * * [simplify]: Extracting #5: cost 237 inf + 3034 101.691 * * [simplify]: Extracting #6: cost 216 inf + 8019 101.706 * * [simplify]: Extracting #7: cost 124 inf + 44310 101.724 * * [simplify]: Extracting #8: cost 11 inf + 99358 101.764 * * [simplify]: Extracting #9: cost 0 inf + 104203 101.788 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 101.788 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))))) 101.789 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1)))) 101.789 * * [simplify]: iters left: 6 (14 enodes) 101.794 * * [simplify]: iters left: 5 (57 enodes) 101.809 * * [simplify]: iters left: 4 (93 enodes) 101.829 * * [simplify]: iters left: 3 (131 enodes) 101.855 * * [simplify]: iters left: 2 (178 enodes) 101.911 * * [simplify]: iters left: 1 (299 enodes) 102.022 * * [simplify]: Extracting #0: cost 1 inf + 0 102.022 * * [simplify]: Extracting #1: cost 0 inf + 1 102.022 * [simplify]: Simplified to 0 102.022 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 102.023 * * * * [progress]: [ 74 / 2246 ] simplifiying candidate # 102.023 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 102.023 * * [simplify]: iters left: 6 (16 enodes) 102.027 * * [simplify]: iters left: 5 (62 enodes) 102.039 * * [simplify]: iters left: 4 (88 enodes) 102.059 * * [simplify]: iters left: 3 (132 enodes) 102.106 * * [simplify]: iters left: 2 (174 enodes) 102.165 * * [simplify]: iters left: 1 (297 enodes) 102.292 * * [simplify]: Extracting #0: cost 1 inf + 0 102.293 * * [simplify]: Extracting #1: cost 13 inf + 0 102.293 * * [simplify]: Extracting #2: cost 142 inf + 2 102.295 * * [simplify]: Extracting #3: cost 197 inf + 6 102.297 * * [simplify]: Extracting #4: cost 194 inf + 611 102.300 * * [simplify]: Extracting #5: cost 164 inf + 6799 102.317 * * [simplify]: Extracting #6: cost 62 inf + 46163 102.345 * * [simplify]: Extracting #7: cost 5 inf + 75749 102.376 * * [simplify]: Extracting #8: cost 0 inf + 79066 102.405 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 102.406 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))))) 102.406 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1))) 102.406 * * [simplify]: iters left: 6 (13 enodes) 102.413 * * [simplify]: iters left: 5 (50 enodes) 102.434 * * [simplify]: iters left: 4 (76 enodes) 102.459 * * [simplify]: iters left: 3 (111 enodes) 102.487 * * [simplify]: iters left: 2 (147 enodes) 102.514 * * [simplify]: iters left: 1 (234 enodes) 102.584 * * [simplify]: Extracting #0: cost 1 inf + 0 102.584 * * [simplify]: Extracting #1: cost 0 inf + 1 102.584 * [simplify]: Simplified to 0 102.584 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 102.584 * * * * [progress]: [ 75 / 2246 ] simplifiying candidate # 102.585 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 102.585 * * [simplify]: iters left: 6 (19 enodes) 102.595 * * [simplify]: iters left: 5 (76 enodes) 102.622 * * [simplify]: iters left: 4 (150 enodes) 102.665 * * [simplify]: iters left: 3 (296 enodes) 102.779 * * [simplify]: Extracting #0: cost 1 inf + 0 102.779 * * [simplify]: Extracting #1: cost 11 inf + 0 102.780 * * [simplify]: Extracting #2: cost 96 inf + 0 102.781 * * [simplify]: Extracting #3: cost 156 inf + 5 102.782 * * [simplify]: Extracting #4: cost 150 inf + 553 102.784 * * [simplify]: Extracting #5: cost 140 inf + 2045 102.792 * * [simplify]: Extracting #6: cost 67 inf + 29591 102.816 * * [simplify]: Extracting #7: cost 3 inf + 55686 102.849 * * [simplify]: Extracting #8: cost 0 inf + 56774 102.881 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 102.882 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 102.882 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 102.883 * * [simplify]: iters left: 6 (16 enodes) 102.890 * * [simplify]: iters left: 5 (65 enodes) 102.913 * * [simplify]: iters left: 4 (125 enodes) 102.961 * * [simplify]: iters left: 3 (242 enodes) 103.061 * * [simplify]: Extracting #0: cost 1 inf + 0 103.061 * * [simplify]: Extracting #1: cost 0 inf + 1 103.061 * [simplify]: Simplified to 0 103.062 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 103.062 * * * * [progress]: [ 76 / 2246 ] simplifiying candidate # 103.063 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 103.063 * * [simplify]: iters left: 6 (18 enodes) 103.072 * * [simplify]: iters left: 5 (71 enodes) 103.100 * * [simplify]: iters left: 4 (126 enodes) 103.143 * * [simplify]: iters left: 3 (212 enodes) 103.220 * * [simplify]: iters left: 2 (451 enodes) 103.548 * * [simplify]: Extracting #0: cost 1 inf + 0 103.548 * * [simplify]: Extracting #1: cost 33 inf + 0 103.549 * * [simplify]: Extracting #2: cost 135 inf + 3 103.550 * * [simplify]: Extracting #3: cost 153 inf + 6 103.552 * * [simplify]: Extracting #4: cost 146 inf + 652 103.554 * * [simplify]: Extracting #5: cost 126 inf + 3847 103.565 * * [simplify]: Extracting #6: cost 60 inf + 24155 103.591 * * [simplify]: Extracting #7: cost 2 inf + 47323 103.605 * * [simplify]: Extracting #8: cost 0 inf + 48542 103.620 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 103.620 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 103.620 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 103.620 * * [simplify]: iters left: 6 (15 enodes) 103.625 * * [simplify]: iters left: 5 (60 enodes) 103.643 * * [simplify]: iters left: 4 (103 enodes) 103.680 * * [simplify]: iters left: 3 (167 enodes) 103.743 * * [simplify]: iters left: 2 (361 enodes) 103.940 * * [simplify]: Extracting #0: cost 1 inf + 0 103.940 * * [simplify]: Extracting #1: cost 0 inf + 1 103.940 * [simplify]: Simplified to 0 103.940 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 103.940 * * * * [progress]: [ 77 / 2246 ] simplifiying candidate # 103.940 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 103.940 * * [simplify]: iters left: 6 (17 enodes) 103.945 * * [simplify]: iters left: 5 (65 enodes) 103.958 * * [simplify]: iters left: 4 (106 enodes) 103.980 * * [simplify]: iters left: 3 (160 enodes) 104.031 * * [simplify]: iters left: 2 (223 enodes) 104.084 * * [simplify]: iters left: 1 (348 enodes) 104.225 * * [simplify]: Extracting #0: cost 1 inf + 0 104.226 * * [simplify]: Extracting #1: cost 20 inf + 0 104.226 * * [simplify]: Extracting #2: cost 116 inf + 2 104.227 * * [simplify]: Extracting #3: cost 141 inf + 8 104.228 * * [simplify]: Extracting #4: cost 139 inf + 499 104.230 * * [simplify]: Extracting #5: cost 119 inf + 3558 104.234 * * [simplify]: Extracting #6: cost 79 inf + 14425 104.245 * * [simplify]: Extracting #7: cost 25 inf + 37722 104.256 * * [simplify]: Extracting #8: cost 0 inf + 52335 104.267 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 104.267 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))))) 104.268 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1))) 104.268 * * [simplify]: iters left: 6 (14 enodes) 104.272 * * [simplify]: iters left: 5 (53 enodes) 104.282 * * [simplify]: iters left: 4 (92 enodes) 104.299 * * [simplify]: iters left: 3 (137 enodes) 104.327 * * [simplify]: iters left: 2 (188 enodes) 104.367 * * [simplify]: iters left: 1 (283 enodes) 104.438 * * [simplify]: Extracting #0: cost 1 inf + 0 104.438 * * [simplify]: Extracting #1: cost 0 inf + 1 104.438 * [simplify]: Simplified to 0 104.438 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 104.438 * * * * [progress]: [ 78 / 2246 ] simplifiying candidate # 104.439 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 104.439 * * [simplify]: iters left: 6 (19 enodes) 104.452 * * [simplify]: iters left: 5 (76 enodes) 104.476 * * [simplify]: iters left: 4 (107 enodes) 104.498 * * [simplify]: iters left: 3 (172 enodes) 104.544 * * [simplify]: iters left: 2 (275 enodes) 104.622 * * [simplify]: iters left: 1 (482 enodes) 104.930 * * [simplify]: Extracting #0: cost 1 inf + 0 104.930 * * [simplify]: Extracting #1: cost 22 inf + 0 104.931 * * [simplify]: Extracting #2: cost 127 inf + 2 104.932 * * [simplify]: Extracting #3: cost 177 inf + 8 104.934 * * [simplify]: Extracting #4: cost 164 inf + 1752 104.939 * * [simplify]: Extracting #5: cost 131 inf + 8654 104.953 * * [simplify]: Extracting #6: cost 70 inf + 27700 104.966 * * [simplify]: Extracting #7: cost 8 inf + 59534 104.984 * * [simplify]: Extracting #8: cost 0 inf + 64275 105.013 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 105.013 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))))) 105.014 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1)))) 105.014 * * [simplify]: iters left: 6 (15 enodes) 105.020 * * [simplify]: iters left: 5 (60 enodes) 105.030 * * [simplify]: iters left: 4 (93 enodes) 105.054 * * [simplify]: iters left: 3 (149 enodes) 105.100 * * [simplify]: iters left: 2 (229 enodes) 105.154 * * [simplify]: iters left: 1 (341 enodes) 105.304 * * [simplify]: Extracting #0: cost 1 inf + 0 105.304 * * [simplify]: Extracting #1: cost 0 inf + 1 105.304 * [simplify]: Simplified to 0 105.304 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 105.304 * * * * [progress]: [ 79 / 2246 ] simplifiying candidate # 105.305 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 105.305 * * [simplify]: iters left: 6 (19 enodes) 105.318 * * [simplify]: iters left: 5 (76 enodes) 105.345 * * [simplify]: iters left: 4 (107 enodes) 105.378 * * [simplify]: iters left: 3 (172 enodes) 105.411 * * [simplify]: iters left: 2 (275 enodes) 105.500 * * [simplify]: iters left: 1 (482 enodes) 105.863 * * [simplify]: Extracting #0: cost 1 inf + 0 105.864 * * [simplify]: Extracting #1: cost 22 inf + 0 105.868 * * [simplify]: Extracting #2: cost 127 inf + 2 105.870 * * [simplify]: Extracting #3: cost 177 inf + 8 105.872 * * [simplify]: Extracting #4: cost 164 inf + 1752 105.876 * * [simplify]: Extracting #5: cost 131 inf + 8654 105.892 * * [simplify]: Extracting #6: cost 70 inf + 27700 105.911 * * [simplify]: Extracting #7: cost 8 inf + 59534 105.926 * * [simplify]: Extracting #8: cost 0 inf + 64275 105.951 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 105.951 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))))) 105.952 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1)))) 105.952 * * [simplify]: iters left: 6 (15 enodes) 105.963 * * [simplify]: iters left: 5 (60 enodes) 105.983 * * [simplify]: iters left: 4 (93 enodes) 106.004 * * [simplify]: iters left: 3 (149 enodes) 106.028 * * [simplify]: iters left: 2 (229 enodes) 106.089 * * [simplify]: iters left: 1 (341 enodes) 106.187 * * [simplify]: Extracting #0: cost 1 inf + 0 106.187 * * [simplify]: Extracting #1: cost 0 inf + 1 106.187 * [simplify]: Simplified to 0 106.187 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 106.187 * * * * [progress]: [ 80 / 2246 ] simplifiying candidate # 106.188 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 106.188 * * [simplify]: iters left: 6 (17 enodes) 106.197 * * [simplify]: iters left: 5 (65 enodes) 106.219 * * [simplify]: iters left: 4 (106 enodes) 106.250 * * [simplify]: iters left: 3 (160 enodes) 106.300 * * [simplify]: iters left: 2 (223 enodes) 106.341 * * [simplify]: iters left: 1 (348 enodes) 106.450 * * [simplify]: Extracting #0: cost 1 inf + 0 106.450 * * [simplify]: Extracting #1: cost 20 inf + 0 106.450 * * [simplify]: Extracting #2: cost 116 inf + 2 106.451 * * [simplify]: Extracting #3: cost 141 inf + 8 106.451 * * [simplify]: Extracting #4: cost 139 inf + 499 106.452 * * [simplify]: Extracting #5: cost 119 inf + 3558 106.455 * * [simplify]: Extracting #6: cost 79 inf + 14425 106.463 * * [simplify]: Extracting #7: cost 25 inf + 37722 106.480 * * [simplify]: Extracting #8: cost 0 inf + 52335 106.502 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 106.502 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))))) 106.503 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1))) 106.503 * * [simplify]: iters left: 6 (14 enodes) 106.510 * * [simplify]: iters left: 5 (53 enodes) 106.529 * * [simplify]: iters left: 4 (92 enodes) 106.556 * * [simplify]: iters left: 3 (137 enodes) 106.592 * * [simplify]: iters left: 2 (188 enodes) 106.628 * * [simplify]: iters left: 1 (283 enodes) 106.702 * * [simplify]: Extracting #0: cost 1 inf + 0 106.702 * * [simplify]: Extracting #1: cost 0 inf + 1 106.702 * [simplify]: Simplified to 0 106.702 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 106.702 * * * * [progress]: [ 81 / 2246 ] simplifiying candidate # 106.703 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))) 106.703 * * [simplify]: iters left: 6 (15 enodes) 106.708 * * [simplify]: iters left: 5 (59 enodes) 106.729 * * [simplify]: iters left: 4 (90 enodes) 106.759 * * [simplify]: iters left: 3 (136 enodes) 106.807 * * [simplify]: iters left: 2 (185 enodes) 106.881 * * [simplify]: iters left: 1 (359 enodes) 107.143 * * [simplify]: Extracting #0: cost 1 inf + 0 107.143 * * [simplify]: Extracting #1: cost 13 inf + 0 107.143 * * [simplify]: Extracting #2: cost 169 inf + 2 107.144 * * [simplify]: Extracting #3: cost 255 inf + 6 107.145 * * [simplify]: Extracting #4: cost 249 inf + 887 107.147 * * [simplify]: Extracting #5: cost 238 inf + 2126 107.149 * * [simplify]: Extracting #6: cost 221 inf + 6450 107.158 * * [simplify]: Extracting #7: cost 97 inf + 54925 107.189 * * [simplify]: Extracting #8: cost 8 inf + 101785 107.229 * * [simplify]: Extracting #9: cost 0 inf + 106781 107.269 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 107.269 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1 (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))))) 107.269 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1 (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1)) 107.270 * * [simplify]: iters left: 6 (12 enodes) 107.276 * * [simplify]: iters left: 5 (47 enodes) 107.294 * * [simplify]: iters left: 4 (79 enodes) 107.319 * * [simplify]: iters left: 3 (107 enodes) 107.361 * * [simplify]: iters left: 2 (167 enodes) 107.418 * * [simplify]: iters left: 1 (239 enodes) 107.484 * * [simplify]: Extracting #0: cost 1 inf + 0 107.484 * * [simplify]: Extracting #1: cost 0 inf + 1 107.484 * [simplify]: Simplified to 0 107.484 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 107.484 * * * * [progress]: [ 82 / 2246 ] simplifiying candidate # 107.485 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))) 107.485 * * [simplify]: iters left: 6 (15 enodes) 107.493 * * [simplify]: iters left: 5 (60 enodes) 107.515 * * [simplify]: iters left: 4 (100 enodes) 107.548 * * [simplify]: iters left: 3 (163 enodes) 107.613 * * [simplify]: iters left: 2 (267 enodes) 107.705 * * [simplify]: iters left: 1 (456 enodes) 107.910 * * [simplify]: Extracting #0: cost 1 inf + 0 107.910 * * [simplify]: Extracting #1: cost 29 inf + 0 107.910 * * [simplify]: Extracting #2: cost 122 inf + 4 107.911 * * [simplify]: Extracting #3: cost 164 inf + 6 107.912 * * [simplify]: Extracting #4: cost 163 inf + 361 107.913 * * [simplify]: Extracting #5: cost 132 inf + 5347 107.923 * * [simplify]: Extracting #6: cost 26 inf + 44292 107.950 * * [simplify]: Extracting #7: cost 0 inf + 55987 107.974 * [simplify]: Simplified to (* (- 1/2 (/ 1/2 (hypot 1 x))) (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 107.974 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (- 1/2 (/ 1/2 (hypot 1 x))) (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (hypot 1 x)) (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))))) 107.974 * [simplify]: Simplifying (fma (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (hypot 1 x)) (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x)))) 107.974 * * [simplify]: iters left: 6 (12 enodes) 107.978 * * [simplify]: iters left: 5 (50 enodes) 107.988 * * [simplify]: iters left: 4 (76 enodes) 108.002 * * [simplify]: iters left: 3 (143 enodes) 108.032 * * [simplify]: iters left: 2 (233 enodes) 108.097 * * [simplify]: iters left: 1 (369 enodes) 108.215 * * [simplify]: Extracting #0: cost 1 inf + 0 108.215 * * [simplify]: Extracting #1: cost 0 inf + 1 108.215 * [simplify]: Simplified to 0 108.215 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (* (- 1/2 (/ 1/2 (hypot 1 x))) (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 108.216 * * * * [progress]: [ 83 / 2246 ] simplifiying candidate # 108.216 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 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))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))) 108.216 * * [simplify]: iters left: 6 (24 enodes) 108.223 * * [simplify]: iters left: 5 (100 enodes) 108.252 * * [simplify]: iters left: 4 (243 enodes) 108.339 * * [simplify]: Extracting #0: cost 1 inf + 0 108.339 * * [simplify]: Extracting #1: cost 11 inf + 0 108.339 * * [simplify]: Extracting #2: cost 103 inf + 0 108.340 * * [simplify]: Extracting #3: cost 174 inf + 6 108.342 * * [simplify]: Extracting #4: cost 174 inf + 731 108.345 * * [simplify]: Extracting #5: cost 148 inf + 6839 108.358 * * [simplify]: Extracting #6: cost 42 inf + 38361 108.369 * * [simplify]: Extracting #7: cost 4 inf + 50952 108.383 * * [simplify]: Extracting #8: cost 0 inf + 52774 108.400 * * [simplify]: Extracting #9: cost 0 inf + 52759 108.412 * [simplify]: Simplified to (- (* (cbrt (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 108.413 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (cbrt (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (fma (- (+ (* 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 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (* (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))))) 108.413 * [simplify]: Simplifying (fma (- (+ (* 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 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (* (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))))) 108.413 * * [simplify]: iters left: 6 (20 enodes) 108.420 * * [simplify]: iters left: 5 (87 enodes) 108.444 * * [simplify]: iters left: 4 (224 enodes) 108.527 * * [simplify]: Extracting #0: cost 1 inf + 0 108.527 * * [simplify]: Extracting #1: cost 14 inf + 0 108.528 * * [simplify]: Extracting #2: cost 116 inf + 0 108.529 * * [simplify]: Extracting #3: cost 173 inf + 989 108.535 * * [simplify]: Extracting #4: cost 109 inf + 16215 108.553 * * [simplify]: Extracting #5: cost 31 inf + 40092 108.568 * * [simplify]: Extracting #6: cost 1 inf + 50253 108.583 * * [simplify]: Extracting #7: cost 0 inf + 50642 108.595 * [simplify]: Simplified to (- (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 108.596 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 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))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))) (- (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))))) 108.596 * * * * [progress]: [ 84 / 2246 ] simplifiying candidate # 108.597 * [simplify]: Simplifying (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 108.597 * * [simplify]: iters left: 6 (19 enodes) 108.606 * * [simplify]: iters left: 5 (73 enodes) 108.630 * * [simplify]: iters left: 4 (134 enodes) 108.680 * * [simplify]: iters left: 3 (280 enodes) 108.771 * * [simplify]: Extracting #0: cost 1 inf + 0 108.771 * * [simplify]: Extracting #1: cost 17 inf + 0 108.771 * * [simplify]: Extracting #2: cost 108 inf + 0 108.772 * * [simplify]: Extracting #3: cost 154 inf + 5 108.773 * * [simplify]: Extracting #4: cost 164 inf + 1187 108.774 * * [simplify]: Extracting #5: cost 126 inf + 6814 108.779 * * [simplify]: Extracting #6: cost 38 inf + 29062 108.791 * * [simplify]: Extracting #7: cost 1 inf + 40779 108.813 * * [simplify]: Extracting #8: cost 0 inf + 41118 108.823 * [simplify]: Simplified to (fma (+ -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 108.823 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (+ -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 108.823 * [simplify]: Simplifying (fma (- (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 108.823 * * [simplify]: iters left: 6 (15 enodes) 108.827 * * [simplify]: iters left: 5 (56 enodes) 108.837 * * [simplify]: iters left: 4 (109 enodes) 108.864 * * [simplify]: iters left: 3 (271 enodes) 108.940 * * [simplify]: Extracting #0: cost 1 inf + 0 108.941 * * [simplify]: Extracting #1: cost 0 inf + 1 108.941 * [simplify]: Simplified to 0 108.941 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (* (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 108.941 * * * * [progress]: [ 85 / 2246 ] simplifiying candidate # 108.941 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 108.941 * * [simplify]: iters left: 6 (16 enodes) 108.947 * * [simplify]: iters left: 5 (63 enodes) 108.968 * * [simplify]: iters left: 4 (85 enodes) 109.000 * * [simplify]: iters left: 3 (123 enodes) 109.022 * * [simplify]: iters left: 2 (198 enodes) 109.065 * * [simplify]: iters left: 1 (340 enodes) 109.169 * * [simplify]: Extracting #0: cost 1 inf + 0 109.169 * * [simplify]: Extracting #1: cost 26 inf + 0 109.170 * * [simplify]: Extracting #2: cost 124 inf + 0 109.170 * * [simplify]: Extracting #3: cost 151 inf + 7 109.171 * * [simplify]: Extracting #4: cost 149 inf + 263 109.172 * * [simplify]: Extracting #5: cost 141 inf + 1607 109.174 * * [simplify]: Extracting #6: cost 116 inf + 8785 109.179 * * [simplify]: Extracting #7: cost 81 inf + 29969 109.192 * * [simplify]: Extracting #8: cost 20 inf + 80054 109.217 * * [simplify]: Extracting #9: cost 0 inf + 97201 109.234 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 109.234 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 109.234 * [simplify]: Simplifying (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 109.235 * * [simplify]: iters left: 6 (14 enodes) 109.238 * * [simplify]: iters left: 5 (53 enodes) 109.255 * * [simplify]: iters left: 4 (76 enodes) 109.274 * * [simplify]: iters left: 3 (134 enodes) 109.301 * * [simplify]: iters left: 2 (194 enodes) 109.343 * * [simplify]: iters left: 1 (293 enodes) 109.413 * * [simplify]: Extracting #0: cost 1 inf + 0 109.413 * * [simplify]: Extracting #1: cost 0 inf + 1 109.413 * [simplify]: Simplified to 0 109.413 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 109.414 * * * * [progress]: [ 86 / 2246 ] simplifiying candidate # 109.414 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 109.414 * * [simplify]: iters left: 6 (15 enodes) 109.418 * * [simplify]: iters left: 5 (54 enodes) 109.427 * * [simplify]: iters left: 4 (69 enodes) 109.438 * * [simplify]: iters left: 3 (89 enodes) 109.469 * * [simplify]: iters left: 2 (112 enodes) 109.502 * * [simplify]: iters left: 1 (172 enodes) 109.537 * * [simplify]: Extracting #0: cost 1 inf + 0 109.537 * * [simplify]: Extracting #1: cost 19 inf + 0 109.537 * * [simplify]: Extracting #2: cost 56 inf + 0 109.538 * * [simplify]: Extracting #3: cost 63 inf + 3 109.538 * * [simplify]: Extracting #4: cost 60 inf + 412 109.539 * * [simplify]: Extracting #5: cost 50 inf + 2828 109.541 * * [simplify]: Extracting #6: cost 28 inf + 9495 109.544 * * [simplify]: Extracting #7: cost 18 inf + 12971 109.555 * * [simplify]: Extracting #8: cost 2 inf + 20019 109.567 * * [simplify]: Extracting #9: cost 0 inf + 20895 109.581 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 109.581 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 109.581 * [simplify]: Simplifying (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 109.582 * * [simplify]: iters left: 6 (13 enodes) 109.588 * * [simplify]: iters left: 5 (45 enodes) 109.603 * * [simplify]: iters left: 4 (60 enodes) 109.621 * * [simplify]: iters left: 3 (85 enodes) 109.647 * * [simplify]: iters left: 2 (102 enodes) 109.674 * * [simplify]: iters left: 1 (126 enodes) 109.707 * * [simplify]: Extracting #0: cost 1 inf + 0 109.707 * * [simplify]: Extracting #1: cost 0 inf + 1 109.707 * [simplify]: Simplified to 0 109.708 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 109.708 * * * * [progress]: [ 87 / 2246 ] simplifiying candidate # 109.708 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))) 109.709 * * [simplify]: iters left: 6 (19 enodes) 109.718 * * [simplify]: iters left: 5 (77 enodes) 109.747 * * [simplify]: iters left: 4 (152 enodes) 109.811 * * [simplify]: iters left: 3 (305 enodes) 109.917 * * [simplify]: iters left: 2 (487 enodes) 110.113 * * [simplify]: Extracting #0: cost 1 inf + 0 110.113 * * [simplify]: Extracting #1: cost 26 inf + 0 110.113 * * [simplify]: Extracting #2: cost 107 inf + 0 110.114 * * [simplify]: Extracting #3: cost 141 inf + 3 110.115 * * [simplify]: Extracting #4: cost 144 inf + 6 110.115 * * [simplify]: Extracting #5: cost 141 inf + 122 110.116 * * [simplify]: Extracting #6: cost 136 inf + 652 110.117 * * [simplify]: Extracting #7: cost 126 inf + 2974 110.124 * * [simplify]: Extracting #8: cost 57 inf + 32854 110.147 * * [simplify]: Extracting #9: cost 2 inf + 62156 110.178 * * [simplify]: Extracting #10: cost 0 inf + 63242 110.195 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 110.195 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))))) 110.195 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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)))))))) 110.196 * * [simplify]: iters left: 6 (17 enodes) 110.200 * * [simplify]: iters left: 5 (69 enodes) 110.224 * * [simplify]: iters left: 4 (135 enodes) 110.259 * * [simplify]: iters left: 3 (301 enodes) 110.355 * * [simplify]: Extracting #0: cost 1 inf + 0 110.355 * * [simplify]: Extracting #1: cost 0 inf + 1 110.355 * [simplify]: Simplified to 0 110.355 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))) 0))) 110.355 * * * * [progress]: [ 88 / 2246 ] simplifiying candidate # 110.355 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 110.356 * * [simplify]: iters left: 6 (18 enodes) 110.360 * * [simplify]: iters left: 5 (71 enodes) 110.373 * * [simplify]: iters left: 4 (115 enodes) 110.411 * * [simplify]: iters left: 3 (179 enodes) 110.468 * * [simplify]: iters left: 2 (253 enodes) 110.520 * * [simplify]: iters left: 1 (326 enodes) 110.614 * * [simplify]: Extracting #0: cost 1 inf + 0 110.614 * * [simplify]: Extracting #1: cost 14 inf + 0 110.614 * * [simplify]: Extracting #2: cost 61 inf + 0 110.614 * * [simplify]: Extracting #3: cost 103 inf + 2 110.615 * * [simplify]: Extracting #4: cost 99 inf + 219 110.616 * * [simplify]: Extracting #5: cost 89 inf + 2080 110.618 * * [simplify]: Extracting #6: cost 47 inf + 15835 110.625 * * [simplify]: Extracting #7: cost 7 inf + 33791 110.634 * * [simplify]: Extracting #8: cost 0 inf + 37903 110.648 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 110.648 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 110.649 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 110.649 * * [simplify]: iters left: 6 (16 enodes) 110.657 * * [simplify]: iters left: 5 (63 enodes) 110.671 * * [simplify]: iters left: 4 (100 enodes) 110.688 * * [simplify]: iters left: 3 (175 enodes) 110.748 * * [simplify]: iters left: 2 (267 enodes) 110.816 * * [simplify]: iters left: 1 (373 enodes) 110.916 * * [simplify]: Extracting #0: cost 1 inf + 0 110.916 * * [simplify]: Extracting #1: cost 0 inf + 1 110.916 * [simplify]: Simplified to 0 110.916 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 0))) 110.916 * * * * [progress]: [ 89 / 2246 ] simplifiying candidate # 110.916 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 110.916 * * [simplify]: iters left: 6 (17 enodes) 110.921 * * [simplify]: iters left: 5 (66 enodes) 110.933 * * [simplify]: iters left: 4 (116 enodes) 110.962 * * [simplify]: iters left: 3 (201 enodes) 111.023 * * [simplify]: iters left: 2 (370 enodes) 111.153 * * [simplify]: Extracting #0: cost 1 inf + 0 111.153 * * [simplify]: Extracting #1: cost 14 inf + 0 111.153 * * [simplify]: Extracting #2: cost 66 inf + 0 111.153 * * [simplify]: Extracting #3: cost 112 inf + 3 111.154 * * [simplify]: Extracting #4: cost 112 inf + 64 111.154 * * [simplify]: Extracting #5: cost 101 inf + 1862 111.160 * * [simplify]: Extracting #6: cost 45 inf + 22054 111.176 * * [simplify]: Extracting #7: cost 1 inf + 40866 111.193 * * [simplify]: Extracting #8: cost 0 inf + 41415 111.208 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 111.209 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))))) 111.209 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1))) 111.209 * * [simplify]: iters left: 6 (15 enodes) 111.213 * * [simplify]: iters left: 5 (58 enodes) 111.226 * * [simplify]: iters left: 4 (100 enodes) 111.251 * * [simplify]: iters left: 3 (192 enodes) 111.339 * * [simplify]: iters left: 2 (333 enodes) 111.444 * * [simplify]: Extracting #0: cost 1 inf + 0 111.445 * * [simplify]: Extracting #1: cost 0 inf + 1 111.445 * [simplify]: Simplified to 0 111.445 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 0))) 111.445 * * * * [progress]: [ 90 / 2246 ] simplifiying candidate # 111.445 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 111.446 * * [simplify]: iters left: 6 (19 enodes) 111.457 * * [simplify]: iters left: 5 (75 enodes) 111.480 * * [simplify]: iters left: 4 (109 enodes) 111.515 * * [simplify]: iters left: 3 (186 enodes) 111.598 * * [simplify]: iters left: 2 (307 enodes) 111.724 * * [simplify]: iters left: 1 (410 enodes) 111.863 * * [simplify]: Extracting #0: cost 1 inf + 0 111.864 * * [simplify]: Extracting #1: cost 14 inf + 0 111.864 * * [simplify]: Extracting #2: cost 54 inf + 0 111.864 * * [simplify]: Extracting #3: cost 99 inf + 3 111.864 * * [simplify]: Extracting #4: cost 99 inf + 121 111.865 * * [simplify]: Extracting #5: cost 93 inf + 830 111.867 * * [simplify]: Extracting #6: cost 44 inf + 18116 111.880 * * [simplify]: Extracting #7: cost 8 inf + 33480 111.895 * * [simplify]: Extracting #8: cost 0 inf + 36464 111.911 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 111.911 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))))) 111.911 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)))) 111.912 * * [simplify]: iters left: 6 (16 enodes) 111.921 * * [simplify]: iters left: 5 (63 enodes) 111.941 * * [simplify]: iters left: 4 (94 enodes) 111.978 * * [simplify]: iters left: 3 (179 enodes) 112.025 * * [simplify]: iters left: 2 (303 enodes) 112.103 * * [simplify]: iters left: 1 (423 enodes) 112.270 * * [simplify]: Extracting #0: cost 1 inf + 0 112.270 * * [simplify]: Extracting #1: cost 0 inf + 1 112.270 * [simplify]: Simplified to 0 112.270 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 0))) 112.271 * * * * [progress]: [ 91 / 2246 ] simplifiying candidate # 112.271 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 112.271 * * [simplify]: iters left: 6 (19 enodes) 112.282 * * [simplify]: iters left: 5 (75 enodes) 112.294 * * [simplify]: iters left: 4 (109 enodes) 112.315 * * [simplify]: iters left: 3 (186 enodes) 112.356 * * [simplify]: iters left: 2 (307 enodes) 112.458 * * [simplify]: iters left: 1 (410 enodes) 112.578 * * [simplify]: Extracting #0: cost 1 inf + 0 112.578 * * [simplify]: Extracting #1: cost 14 inf + 0 112.579 * * [simplify]: Extracting #2: cost 54 inf + 0 112.579 * * [simplify]: Extracting #3: cost 99 inf + 3 112.579 * * [simplify]: Extracting #4: cost 99 inf + 121 112.580 * * [simplify]: Extracting #5: cost 93 inf + 830 112.582 * * [simplify]: Extracting #6: cost 44 inf + 18116 112.589 * * [simplify]: Extracting #7: cost 8 inf + 33480 112.603 * * [simplify]: Extracting #8: cost 0 inf + 36464 112.621 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 112.621 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))))) 112.622 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)))) 112.622 * * [simplify]: iters left: 6 (16 enodes) 112.632 * * [simplify]: iters left: 5 (63 enodes) 112.653 * * [simplify]: iters left: 4 (94 enodes) 112.676 * * [simplify]: iters left: 3 (179 enodes) 112.733 * * [simplify]: iters left: 2 (303 enodes) 112.847 * * [simplify]: iters left: 1 (423 enodes) 113.001 * * [simplify]: Extracting #0: cost 1 inf + 0 113.001 * * [simplify]: Extracting #1: cost 0 inf + 1 113.001 * [simplify]: Simplified to 0 113.001 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 0))) 113.001 * * * * [progress]: [ 92 / 2246 ] simplifiying candidate # 113.001 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 113.002 * * [simplify]: iters left: 6 (17 enodes) 113.006 * * [simplify]: iters left: 5 (66 enodes) 113.029 * * [simplify]: iters left: 4 (116 enodes) 113.064 * * [simplify]: iters left: 3 (201 enodes) 113.122 * * [simplify]: iters left: 2 (370 enodes) 113.255 * * [simplify]: Extracting #0: cost 1 inf + 0 113.255 * * [simplify]: Extracting #1: cost 14 inf + 0 113.255 * * [simplify]: Extracting #2: cost 66 inf + 0 113.255 * * [simplify]: Extracting #3: cost 112 inf + 3 113.256 * * [simplify]: Extracting #4: cost 112 inf + 64 113.257 * * [simplify]: Extracting #5: cost 101 inf + 1862 113.260 * * [simplify]: Extracting #6: cost 45 inf + 22054 113.268 * * [simplify]: Extracting #7: cost 1 inf + 40866 113.285 * * [simplify]: Extracting #8: cost 0 inf + 41415 113.301 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 113.301 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))))) 113.301 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1))) 113.302 * * [simplify]: iters left: 6 (15 enodes) 113.306 * * [simplify]: iters left: 5 (58 enodes) 113.316 * * [simplify]: iters left: 4 (100 enodes) 113.346 * * [simplify]: iters left: 3 (192 enodes) 113.408 * * [simplify]: iters left: 2 (333 enodes) 113.562 * * [simplify]: Extracting #0: cost 1 inf + 0 113.562 * * [simplify]: Extracting #1: cost 0 inf + 1 113.562 * [simplify]: Simplified to 0 113.562 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 0))) 113.562 * * * * [progress]: [ 93 / 2246 ] simplifiying candidate # 113.563 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 113.563 * * [simplify]: iters left: 6 (18 enodes) 113.567 * * [simplify]: iters left: 5 (70 enodes) 113.582 * * [simplify]: iters left: 4 (113 enodes) 113.617 * * [simplify]: iters left: 3 (159 enodes) 113.646 * * [simplify]: iters left: 2 (216 enodes) 113.692 * * [simplify]: iters left: 1 (265 enodes) 113.770 * * [simplify]: Extracting #0: cost 1 inf + 0 113.770 * * [simplify]: Extracting #1: cost 10 inf + 0 113.770 * * [simplify]: Extracting #2: cost 46 inf + 0 113.770 * * [simplify]: Extracting #3: cost 72 inf + 2 113.771 * * [simplify]: Extracting #4: cost 75 inf + 4 113.771 * * [simplify]: Extracting #5: cost 64 inf + 1425 113.774 * * [simplify]: Extracting #6: cost 28 inf + 13324 113.780 * * [simplify]: Extracting #7: cost 2 inf + 22351 113.786 * * [simplify]: Extracting #8: cost 0 inf + 23107 113.792 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 113.792 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 113.793 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 113.793 * * [simplify]: iters left: 6 (16 enodes) 113.797 * * [simplify]: iters left: 5 (62 enodes) 113.815 * * [simplify]: iters left: 4 (99 enodes) 113.831 * * [simplify]: iters left: 3 (150 enodes) 113.871 * * [simplify]: iters left: 2 (222 enodes) 113.908 * * [simplify]: iters left: 1 (302 enodes) 113.971 * * [simplify]: Extracting #0: cost 1 inf + 0 113.971 * * [simplify]: Extracting #1: cost 0 inf + 1 113.971 * [simplify]: Simplified to 0 113.972 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 113.972 * * * * [progress]: [ 94 / 2246 ] simplifiying candidate # 113.972 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 113.973 * * [simplify]: iters left: 6 (16 enodes) 113.981 * * [simplify]: iters left: 5 (61 enodes) 113.999 * * [simplify]: iters left: 4 (84 enodes) 114.012 * * [simplify]: iters left: 3 (113 enodes) 114.033 * * [simplify]: iters left: 2 (151 enodes) 114.061 * * [simplify]: iters left: 1 (189 enodes) 114.101 * * [simplify]: Extracting #0: cost 1 inf + 0 114.101 * * [simplify]: Extracting #1: cost 18 inf + 0 114.101 * * [simplify]: Extracting #2: cost 60 inf + 0 114.101 * * [simplify]: Extracting #3: cost 74 inf + 2 114.102 * * [simplify]: Extracting #4: cost 77 inf + 3 114.102 * * [simplify]: Extracting #5: cost 70 inf + 728 114.104 * * [simplify]: Extracting #6: cost 59 inf + 3006 114.106 * * [simplify]: Extracting #7: cost 27 inf + 13423 114.112 * * [simplify]: Extracting #8: cost 2 inf + 24273 114.119 * * [simplify]: Extracting #9: cost 0 inf + 25269 114.128 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 114.128 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 114.129 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 114.129 * * [simplify]: iters left: 6 (14 enodes) 114.133 * * [simplify]: iters left: 5 (54 enodes) 114.141 * * [simplify]: iters left: 4 (77 enodes) 114.156 * * [simplify]: iters left: 3 (106 enodes) 114.172 * * [simplify]: iters left: 2 (137 enodes) 114.191 * * [simplify]: iters left: 1 (167 enodes) 114.225 * * [simplify]: Extracting #0: cost 1 inf + 0 114.225 * * [simplify]: Extracting #1: cost 0 inf + 1 114.225 * [simplify]: Simplified to 0 114.225 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 114.225 * * * * [progress]: [ 95 / 2246 ] simplifiying candidate # 114.225 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 114.226 * * [simplify]: iters left: 6 (16 enodes) 114.230 * * [simplify]: iters left: 5 (61 enodes) 114.240 * * [simplify]: iters left: 4 (88 enodes) 114.257 * * [simplify]: iters left: 3 (133 enodes) 114.300 * * [simplify]: iters left: 2 (179 enodes) 114.341 * * [simplify]: iters left: 1 (230 enodes) 114.383 * * [simplify]: Extracting #0: cost 1 inf + 0 114.383 * * [simplify]: Extracting #1: cost 10 inf + 0 114.383 * * [simplify]: Extracting #2: cost 36 inf + 0 114.383 * * [simplify]: Extracting #3: cost 48 inf + 3 114.383 * * [simplify]: Extracting #4: cost 41 inf + 1360 114.384 * * [simplify]: Extracting #5: cost 29 inf + 4450 114.387 * * [simplify]: Extracting #6: cost 3 inf + 11685 114.392 * * [simplify]: Extracting #7: cost 0 inf + 12620 114.395 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 114.396 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))))) 114.396 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1))) 114.396 * * [simplify]: iters left: 6 (14 enodes) 114.400 * * [simplify]: iters left: 5 (53 enodes) 114.408 * * [simplify]: iters left: 4 (78 enodes) 114.421 * * [simplify]: iters left: 3 (126 enodes) 114.459 * * [simplify]: iters left: 2 (171 enodes) 114.507 * * [simplify]: iters left: 1 (225 enodes) 114.549 * * [simplify]: Extracting #0: cost 1 inf + 0 114.549 * * [simplify]: Extracting #1: cost 0 inf + 1 114.549 * [simplify]: Simplified to 0 114.549 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 0))) 114.550 * * * * [progress]: [ 96 / 2246 ] simplifiying candidate # 114.550 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 114.550 * * [simplify]: iters left: 6 (18 enodes) 114.560 * * [simplify]: iters left: 5 (70 enodes) 114.580 * * [simplify]: iters left: 4 (94 enodes) 114.598 * * [simplify]: iters left: 3 (127 enodes) 114.618 * * [simplify]: iters left: 2 (168 enodes) 114.654 * * [simplify]: iters left: 1 (199 enodes) 114.711 * * [simplify]: Extracting #0: cost 1 inf + 0 114.711 * * [simplify]: Extracting #1: cost 10 inf + 0 114.711 * * [simplify]: Extracting #2: cost 38 inf + 0 114.711 * * [simplify]: Extracting #3: cost 49 inf + 3 114.711 * * [simplify]: Extracting #4: cost 45 inf + 550 114.712 * * [simplify]: Extracting #5: cost 34 inf + 3226 114.714 * * [simplify]: Extracting #6: cost 13 inf + 8535 114.717 * * [simplify]: Extracting #7: cost 1 inf + 12121 114.720 * * [simplify]: Extracting #8: cost 0 inf + 12459 114.723 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 114.723 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))))) 114.724 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)))) 114.724 * * [simplify]: iters left: 6 (15 enodes) 114.728 * * [simplify]: iters left: 5 (58 enodes) 114.738 * * [simplify]: iters left: 4 (84 enodes) 114.759 * * [simplify]: iters left: 3 (133 enodes) 114.798 * * [simplify]: iters left: 2 (175 enodes) 114.840 * * [simplify]: iters left: 1 (209 enodes) 114.869 * * [simplify]: Extracting #0: cost 1 inf + 0 114.869 * * [simplify]: Extracting #1: cost 0 inf + 1 114.869 * [simplify]: Simplified to 0 114.869 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 0))) 114.870 * * * * [progress]: [ 97 / 2246 ] simplifiying candidate # 114.870 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 114.870 * * [simplify]: iters left: 6 (18 enodes) 114.875 * * [simplify]: iters left: 5 (70 enodes) 114.896 * * [simplify]: iters left: 4 (94 enodes) 114.928 * * [simplify]: iters left: 3 (127 enodes) 114.949 * * [simplify]: iters left: 2 (168 enodes) 114.975 * * [simplify]: iters left: 1 (199 enodes) 115.013 * * [simplify]: Extracting #0: cost 1 inf + 0 115.013 * * [simplify]: Extracting #1: cost 10 inf + 0 115.013 * * [simplify]: Extracting #2: cost 38 inf + 0 115.014 * * [simplify]: Extracting #3: cost 49 inf + 3 115.014 * * [simplify]: Extracting #4: cost 45 inf + 550 115.015 * * [simplify]: Extracting #5: cost 34 inf + 3226 115.017 * * [simplify]: Extracting #6: cost 13 inf + 8535 115.020 * * [simplify]: Extracting #7: cost 1 inf + 12121 115.023 * * [simplify]: Extracting #8: cost 0 inf + 12459 115.026 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 115.026 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))))) 115.026 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)))) 115.026 * * [simplify]: iters left: 6 (15 enodes) 115.031 * * [simplify]: iters left: 5 (58 enodes) 115.041 * * [simplify]: iters left: 4 (84 enodes) 115.065 * * [simplify]: iters left: 3 (133 enodes) 115.088 * * [simplify]: iters left: 2 (175 enodes) 115.128 * * [simplify]: iters left: 1 (209 enodes) 115.158 * * [simplify]: Extracting #0: cost 1 inf + 0 115.158 * * [simplify]: Extracting #1: cost 0 inf + 1 115.159 * [simplify]: Simplified to 0 115.159 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 0))) 115.159 * * * * [progress]: [ 98 / 2246 ] simplifiying candidate # 115.159 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 115.159 * * [simplify]: iters left: 6 (16 enodes) 115.163 * * [simplify]: iters left: 5 (61 enodes) 115.177 * * [simplify]: iters left: 4 (88 enodes) 115.199 * * [simplify]: iters left: 3 (133 enodes) 115.227 * * [simplify]: iters left: 2 (179 enodes) 115.281 * * [simplify]: iters left: 1 (230 enodes) 115.348 * * [simplify]: Extracting #0: cost 1 inf + 0 115.348 * * [simplify]: Extracting #1: cost 10 inf + 0 115.348 * * [simplify]: Extracting #2: cost 36 inf + 0 115.349 * * [simplify]: Extracting #3: cost 48 inf + 3 115.349 * * [simplify]: Extracting #4: cost 41 inf + 1360 115.351 * * [simplify]: Extracting #5: cost 29 inf + 4450 115.357 * * [simplify]: Extracting #6: cost 3 inf + 11685 115.363 * * [simplify]: Extracting #7: cost 0 inf + 12620 115.369 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 115.370 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))))) 115.370 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1))) 115.370 * * [simplify]: iters left: 6 (14 enodes) 115.377 * * [simplify]: iters left: 5 (53 enodes) 115.395 * * [simplify]: iters left: 4 (78 enodes) 115.416 * * [simplify]: iters left: 3 (126 enodes) 115.439 * * [simplify]: iters left: 2 (171 enodes) 115.497 * * [simplify]: iters left: 1 (225 enodes) 115.533 * * [simplify]: Extracting #0: cost 1 inf + 0 115.533 * * [simplify]: Extracting #1: cost 0 inf + 1 115.533 * [simplify]: Simplified to 0 115.533 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 0))) 115.534 * * * * [progress]: [ 99 / 2246 ] simplifiying candidate # 115.534 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 115.535 * * [simplify]: iters left: 6 (23 enodes) 115.546 * * [simplify]: iters left: 5 (95 enodes) 115.580 * * [simplify]: iters left: 4 (219 enodes) 115.719 * * [simplify]: Extracting #0: cost 1 inf + 0 115.719 * * [simplify]: Extracting #1: cost 6 inf + 0 115.719 * * [simplify]: Extracting #2: cost 116 inf + 0 115.720 * * [simplify]: Extracting #3: cost 256 inf + 2 115.722 * * [simplify]: Extracting #4: cost 263 inf + 205 115.724 * * [simplify]: Extracting #5: cost 244 inf + 3751 115.732 * * [simplify]: Extracting #6: cost 179 inf + 30458 115.762 * * [simplify]: Extracting #7: cost 34 inf + 113068 115.806 * * [simplify]: Extracting #8: cost 0 inf + 133840 115.859 * * [simplify]: Extracting #9: cost 0 inf + 133680 115.888 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (/ (cbrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (* (/ (cbrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (cbrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 115.888 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (/ (cbrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (* (/ (cbrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (cbrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 115.889 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 115.889 * * [simplify]: iters left: 6 (21 enodes) 115.897 * * [simplify]: iters left: 5 (87 enodes) 115.920 * * [simplify]: iters left: 4 (200 enodes) 116.020 * * [simplify]: Extracting #0: cost 1 inf + 0 116.021 * * [simplify]: Extracting #1: cost 25 inf + 0 116.021 * * [simplify]: Extracting #2: cost 150 inf + 0 116.023 * * [simplify]: Extracting #3: cost 243 inf + 1 116.024 * * [simplify]: Extracting #4: cost 245 inf + 365 116.026 * * [simplify]: Extracting #5: cost 226 inf + 4202 116.030 * * [simplify]: Extracting #6: cost 200 inf + 13225 116.040 * * [simplify]: Extracting #7: cost 154 inf + 36777 116.060 * * [simplify]: Extracting #8: cost 20 inf + 116269 116.098 * * [simplify]: Extracting #9: cost 0 inf + 128603 116.134 * [simplify]: Simplified to (- (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 116.134 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) (- (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 116.134 * * * * [progress]: [ 100 / 2246 ] simplifiying candidate # 116.135 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 116.135 * * [simplify]: iters left: 6 (22 enodes) 116.142 * * [simplify]: iters left: 5 (90 enodes) 116.162 * * [simplify]: iters left: 4 (183 enodes) 116.214 * * [simplify]: Extracting #0: cost 1 inf + 0 116.214 * * [simplify]: Extracting #1: cost 6 inf + 0 116.214 * * [simplify]: Extracting #2: cost 84 inf + 0 116.214 * * [simplify]: Extracting #3: cost 181 inf + 1 116.215 * * [simplify]: Extracting #4: cost 185 inf + 487 116.216 * * [simplify]: Extracting #5: cost 164 inf + 5464 116.222 * * [simplify]: Extracting #6: cost 120 inf + 20192 116.246 * * [simplify]: Extracting #7: cost 15 inf + 75082 116.264 * * [simplify]: Extracting #8: cost 0 inf + 83552 116.285 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 116.285 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 116.285 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 116.286 * * [simplify]: iters left: 6 (20 enodes) 116.296 * * [simplify]: iters left: 5 (82 enodes) 116.323 * * [simplify]: iters left: 4 (166 enodes) 116.401 * * [simplify]: Extracting #0: cost 1 inf + 0 116.401 * * [simplify]: Extracting #1: cost 22 inf + 0 116.402 * * [simplify]: Extracting #2: cost 106 inf + 0 116.402 * * [simplify]: Extracting #3: cost 175 inf + 0 116.403 * * [simplify]: Extracting #4: cost 174 inf + 286 116.403 * * [simplify]: Extracting #5: cost 165 inf + 2060 116.405 * * [simplify]: Extracting #6: cost 133 inf + 12055 116.407 * * [simplify]: Extracting #7: cost 124 inf + 14115 116.413 * * [simplify]: Extracting #8: cost 61 inf + 47169 116.435 * * [simplify]: Extracting #9: cost 3 inf + 80053 116.468 * * [simplify]: Extracting #10: cost 0 inf + 81907 116.499 * [simplify]: Simplified to (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 116.499 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))))))) 116.499 * * * * [progress]: [ 101 / 2246 ] simplifiying candidate # 116.500 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 116.500 * * [simplify]: iters left: 6 (21 enodes) 116.511 * * [simplify]: iters left: 5 (84 enodes) 116.539 * * [simplify]: iters left: 4 (190 enodes) 116.602 * * [simplify]: Extracting #0: cost 1 inf + 0 116.602 * * [simplify]: Extracting #1: cost 6 inf + 0 116.603 * * [simplify]: Extracting #2: cost 85 inf + 0 116.603 * * [simplify]: Extracting #3: cost 172 inf + 2 116.604 * * [simplify]: Extracting #4: cost 171 inf + 1506 116.605 * * [simplify]: Extracting #5: cost 153 inf + 5623 116.613 * * [simplify]: Extracting #6: cost 62 inf + 40098 116.637 * * [simplify]: Extracting #7: cost 5 inf + 67164 116.662 * * [simplify]: Extracting #8: cost 0 inf + 69694 116.686 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) 116.686 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 116.687 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 116.687 * * [simplify]: iters left: 6 (19 enodes) 116.697 * * [simplify]: iters left: 5 (76 enodes) 116.726 * * [simplify]: iters left: 4 (173 enodes) 116.788 * * [simplify]: Extracting #0: cost 1 inf + 0 116.788 * * [simplify]: Extracting #1: cost 14 inf + 0 116.788 * * [simplify]: Extracting #2: cost 90 inf + 0 116.789 * * [simplify]: Extracting #3: cost 150 inf + 1 116.789 * * [simplify]: Extracting #4: cost 151 inf + 286 116.790 * * [simplify]: Extracting #5: cost 139 inf + 2371 116.792 * * [simplify]: Extracting #6: cost 93 inf + 16977 116.802 * * [simplify]: Extracting #7: cost 13 inf + 53665 116.813 * * [simplify]: Extracting #8: cost 0 inf + 59778 116.824 * [simplify]: Simplified to (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 116.824 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 116.824 * * * * [progress]: [ 102 / 2246 ] simplifiying candidate # 116.824 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 116.825 * * [simplify]: iters left: 6 (23 enodes) 116.832 * * [simplify]: iters left: 5 (94 enodes) 116.851 * * [simplify]: iters left: 4 (156 enodes) 116.922 * * [simplify]: iters left: 3 (412 enodes) 117.179 * * [simplify]: Extracting #0: cost 1 inf + 0 117.179 * * [simplify]: Extracting #1: cost 18 inf + 0 117.179 * * [simplify]: Extracting #2: cost 167 inf + 0 117.180 * * [simplify]: Extracting #3: cost 284 inf + 2 117.182 * * [simplify]: Extracting #4: cost 285 inf + 609 117.184 * * [simplify]: Extracting #5: cost 256 inf + 7451 117.192 * * [simplify]: Extracting #6: cost 139 inf + 51122 117.218 * * [simplify]: Extracting #7: cost 23 inf + 105605 117.245 * * [simplify]: Extracting #8: cost 0 inf + 117049 117.271 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 117.271 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 117.272 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 117.272 * * [simplify]: iters left: 6 (20 enodes) 117.277 * * [simplify]: iters left: 5 (82 enodes) 117.292 * * [simplify]: iters left: 4 (138 enodes) 117.344 * * [simplify]: iters left: 3 (402 enodes) 117.673 * * [simplify]: Extracting #0: cost 1 inf + 0 117.673 * * [simplify]: Extracting #1: cost 0 inf + 1 117.673 * [simplify]: Simplified to 0 117.673 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 0))) 117.673 * * * * [progress]: [ 103 / 2246 ] simplifiying candidate # 117.674 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 117.674 * * [simplify]: iters left: 6 (23 enodes) 117.687 * * [simplify]: iters left: 5 (94 enodes) 117.719 * * [simplify]: iters left: 4 (156 enodes) 117.755 * * [simplify]: iters left: 3 (412 enodes) 118.042 * * [simplify]: Extracting #0: cost 1 inf + 0 118.043 * * [simplify]: Extracting #1: cost 18 inf + 0 118.043 * * [simplify]: Extracting #2: cost 167 inf + 0 118.048 * * [simplify]: Extracting #3: cost 284 inf + 2 118.049 * * [simplify]: Extracting #4: cost 285 inf + 609 118.052 * * [simplify]: Extracting #5: cost 256 inf + 7451 118.060 * * [simplify]: Extracting #6: cost 139 inf + 51122 118.085 * * [simplify]: Extracting #7: cost 23 inf + 105605 118.111 * * [simplify]: Extracting #8: cost 0 inf + 117049 118.154 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 118.154 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 118.155 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 118.155 * * [simplify]: iters left: 6 (20 enodes) 118.167 * * [simplify]: iters left: 5 (82 enodes) 118.195 * * [simplify]: iters left: 4 (138 enodes) 118.262 * * [simplify]: iters left: 3 (402 enodes) 118.626 * * [simplify]: Extracting #0: cost 1 inf + 0 118.626 * * [simplify]: Extracting #1: cost 0 inf + 1 118.626 * [simplify]: Simplified to 0 118.626 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 0))) 118.627 * * * * [progress]: [ 104 / 2246 ] simplifiying candidate # 118.627 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 118.627 * * [simplify]: iters left: 6 (21 enodes) 118.633 * * [simplify]: iters left: 5 (84 enodes) 118.657 * * [simplify]: iters left: 4 (190 enodes) 118.720 * * [simplify]: Extracting #0: cost 1 inf + 0 118.720 * * [simplify]: Extracting #1: cost 6 inf + 0 118.720 * * [simplify]: Extracting #2: cost 85 inf + 0 118.721 * * [simplify]: Extracting #3: cost 172 inf + 2 118.722 * * [simplify]: Extracting #4: cost 171 inf + 1506 118.723 * * [simplify]: Extracting #5: cost 153 inf + 5623 118.728 * * [simplify]: Extracting #6: cost 62 inf + 40098 118.748 * * [simplify]: Extracting #7: cost 5 inf + 67164 118.764 * * [simplify]: Extracting #8: cost 0 inf + 69694 118.777 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) 118.777 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 118.777 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 118.778 * * [simplify]: iters left: 6 (19 enodes) 118.783 * * [simplify]: iters left: 5 (76 enodes) 118.806 * * [simplify]: iters left: 4 (173 enodes) 118.863 * * [simplify]: Extracting #0: cost 1 inf + 0 118.863 * * [simplify]: Extracting #1: cost 14 inf + 0 118.863 * * [simplify]: Extracting #2: cost 90 inf + 0 118.863 * * [simplify]: Extracting #3: cost 150 inf + 1 118.864 * * [simplify]: Extracting #4: cost 151 inf + 286 118.865 * * [simplify]: Extracting #5: cost 139 inf + 2371 118.866 * * [simplify]: Extracting #6: cost 93 inf + 16977 118.882 * * [simplify]: Extracting #7: cost 13 inf + 53665 118.896 * * [simplify]: Extracting #8: cost 0 inf + 59778 118.907 * [simplify]: Simplified to (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 118.907 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 118.907 * * * * [progress]: [ 105 / 2246 ] simplifiying candidate # 118.907 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 118.908 * * [simplify]: iters left: 6 (22 enodes) 118.913 * * [simplify]: iters left: 5 (89 enodes) 118.943 * * [simplify]: iters left: 4 (188 enodes) 119.040 * * [simplify]: Extracting #0: cost 1 inf + 0 119.041 * * [simplify]: Extracting #1: cost 6 inf + 0 119.041 * * [simplify]: Extracting #2: cost 88 inf + 0 119.042 * * [simplify]: Extracting #3: cost 184 inf + 1 119.043 * * [simplify]: Extracting #4: cost 189 inf + 365 119.045 * * [simplify]: Extracting #5: cost 177 inf + 2576 119.050 * * [simplify]: Extracting #6: cost 126 inf + 19859 119.066 * * [simplify]: Extracting #7: cost 15 inf + 81297 119.090 * * [simplify]: Extracting #8: cost 0 inf + 89447 119.119 * * [simplify]: Extracting #9: cost 0 inf + 89367 119.141 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 119.141 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 119.142 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 119.142 * * [simplify]: iters left: 6 (20 enodes) 119.152 * * [simplify]: iters left: 5 (81 enodes) 119.179 * * [simplify]: iters left: 4 (169 enodes) 119.269 * * [simplify]: Extracting #0: cost 1 inf + 0 119.269 * * [simplify]: Extracting #1: cost 22 inf + 0 119.269 * * [simplify]: Extracting #2: cost 104 inf + 0 119.270 * * [simplify]: Extracting #3: cost 169 inf + 0 119.271 * * [simplify]: Extracting #4: cost 160 inf + 1174 119.273 * * [simplify]: Extracting #5: cost 140 inf + 5986 119.276 * * [simplify]: Extracting #6: cost 136 inf + 7316 119.278 * * [simplify]: Extracting #7: cost 132 inf + 7868 119.288 * * [simplify]: Extracting #8: cost 72 inf + 39468 119.319 * * [simplify]: Extracting #9: cost 3 inf + 80030 119.349 * * [simplify]: Extracting #10: cost 0 inf + 81164 119.366 * * [simplify]: Extracting #11: cost 0 inf + 80644 119.389 * * [simplify]: Extracting #12: cost 0 inf + 80484 119.412 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) 119.412 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))))))) 119.413 * * * * [progress]: [ 106 / 2246 ] simplifiying candidate # 119.413 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 119.413 * * [simplify]: iters left: 6 (21 enodes) 119.419 * * [simplify]: iters left: 5 (83 enodes) 119.438 * * [simplify]: iters left: 4 (155 enodes) 119.507 * * [simplify]: iters left: 3 (410 enodes) 119.726 * * [simplify]: Extracting #0: cost 1 inf + 0 119.726 * * [simplify]: Extracting #1: cost 18 inf + 0 119.726 * * [simplify]: Extracting #2: cost 144 inf + 0 119.727 * * [simplify]: Extracting #3: cost 247 inf + 1 119.728 * * [simplify]: Extracting #4: cost 249 inf + 286 119.730 * * [simplify]: Extracting #5: cost 227 inf + 4881 119.741 * * [simplify]: Extracting #6: cost 153 inf + 32253 119.784 * * [simplify]: Extracting #7: cost 27 inf + 93161 119.837 * * [simplify]: Extracting #8: cost 0 inf + 107327 119.867 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 119.867 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 119.867 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 119.868 * * [simplify]: iters left: 6 (19 enodes) 119.877 * * [simplify]: iters left: 5 (75 enodes) 119.898 * * [simplify]: iters left: 4 (138 enodes) 119.929 * * [simplify]: iters left: 3 (364 enodes) 120.091 * * [simplify]: Extracting #0: cost 1 inf + 0 120.091 * * [simplify]: Extracting #1: cost 0 inf + 1 120.091 * [simplify]: Simplified to 0 120.091 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 120.091 * * * * [progress]: [ 107 / 2246 ] simplifiying candidate # 120.092 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 120.092 * * [simplify]: iters left: 6 (20 enodes) 120.097 * * [simplify]: iters left: 5 (79 enodes) 120.112 * * [simplify]: iters left: 4 (146 enodes) 120.153 * * [simplify]: iters left: 3 (362 enodes) 120.420 * * [simplify]: Extracting #0: cost 1 inf + 0 120.420 * * [simplify]: Extracting #1: cost 18 inf + 0 120.421 * * [simplify]: Extracting #2: cost 122 inf + 0 120.422 * * [simplify]: Extracting #3: cost 186 inf + 2 120.424 * * [simplify]: Extracting #4: cost 183 inf + 851 120.427 * * [simplify]: Extracting #5: cost 162 inf + 5320 120.439 * * [simplify]: Extracting #6: cost 88 inf + 30315 120.472 * * [simplify]: Extracting #7: cost 9 inf + 63822 120.495 * * [simplify]: Extracting #8: cost 0 inf + 67354 120.520 * * [simplify]: Extracting #9: cost 0 inf + 67329 120.541 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 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 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 120.541 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 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 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))))) 120.541 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1))) 120.541 * * [simplify]: iters left: 6 (18 enodes) 120.546 * * [simplify]: iters left: 5 (71 enodes) 120.559 * * [simplify]: iters left: 4 (130 enodes) 120.592 * * [simplify]: iters left: 3 (341 enodes) 120.791 * * [simplify]: Extracting #0: cost 1 inf + 0 120.791 * * [simplify]: Extracting #1: cost 0 inf + 1 120.791 * [simplify]: Simplified to 0 120.791 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 0))) 120.791 * * * * [progress]: [ 108 / 2246 ] simplifiying candidate # 120.791 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) 120.792 * * [simplify]: iters left: 6 (22 enodes) 120.798 * * [simplify]: iters left: 5 (88 enodes) 120.813 * * [simplify]: iters left: 4 (135 enodes) 120.869 * * [simplify]: iters left: 3 (311 enodes) 120.995 * * [simplify]: Extracting #0: cost 1 inf + 0 120.995 * * [simplify]: Extracting #1: cost 16 inf + 0 120.995 * * [simplify]: Extracting #2: cost 117 inf + 0 121.000 * * [simplify]: Extracting #3: cost 183 inf + 2 121.001 * * [simplify]: Extracting #4: cost 184 inf + 408 121.004 * * [simplify]: Extracting #5: cost 161 inf + 5197 121.013 * * [simplify]: Extracting #6: cost 99 inf + 24639 121.040 * * [simplify]: Extracting #7: cost 11 inf + 62503 121.057 * * [simplify]: Extracting #8: cost 0 inf + 66691 121.073 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt 1/2)))) 121.073 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt 1/2)))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))))) 121.074 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)))) 121.074 * * [simplify]: iters left: 6 (19 enodes) 121.080 * * [simplify]: iters left: 5 (76 enodes) 121.093 * * [simplify]: iters left: 4 (115 enodes) 121.127 * * [simplify]: iters left: 3 (283 enodes) 121.246 * * [simplify]: Extracting #0: cost 1 inf + 0 121.246 * * [simplify]: Extracting #1: cost 28 inf + 0 121.246 * * [simplify]: Extracting #2: cost 102 inf + 1 121.247 * * [simplify]: Extracting #3: cost 142 inf + 691 121.248 * * [simplify]: Extracting #4: cost 131 inf + 3683 121.250 * * [simplify]: Extracting #5: cost 102 inf + 11388 121.256 * * [simplify]: Extracting #6: cost 97 inf + 12896 121.266 * * [simplify]: Extracting #7: cost 45 inf + 33427 121.293 * * [simplify]: Extracting #8: cost 0 inf + 53907 121.321 * * [simplify]: Extracting #9: cost 0 inf + 53757 121.349 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 121.349 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 121.349 * * * * [progress]: [ 109 / 2246 ] simplifiying candidate # 121.350 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) 121.350 * * [simplify]: iters left: 6 (22 enodes) 121.362 * * [simplify]: iters left: 5 (88 enodes) 121.387 * * [simplify]: iters left: 4 (135 enodes) 121.420 * * [simplify]: iters left: 3 (311 enodes) 121.551 * * [simplify]: Extracting #0: cost 1 inf + 0 121.551 * * [simplify]: Extracting #1: cost 16 inf + 0 121.551 * * [simplify]: Extracting #2: cost 117 inf + 0 121.552 * * [simplify]: Extracting #3: cost 183 inf + 2 121.552 * * [simplify]: Extracting #4: cost 184 inf + 408 121.554 * * [simplify]: Extracting #5: cost 161 inf + 5197 121.562 * * [simplify]: Extracting #6: cost 99 inf + 24639 121.584 * * [simplify]: Extracting #7: cost 11 inf + 62503 121.601 * * [simplify]: Extracting #8: cost 0 inf + 66691 121.625 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt 1/2)))) 121.625 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt 1/2)))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))))) 121.625 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)))) 121.625 * * [simplify]: iters left: 6 (19 enodes) 121.631 * * [simplify]: iters left: 5 (76 enodes) 121.644 * * [simplify]: iters left: 4 (115 enodes) 121.680 * * [simplify]: iters left: 3 (283 enodes) 121.830 * * [simplify]: Extracting #0: cost 1 inf + 0 121.830 * * [simplify]: Extracting #1: cost 28 inf + 0 121.831 * * [simplify]: Extracting #2: cost 102 inf + 1 121.831 * * [simplify]: Extracting #3: cost 142 inf + 691 121.833 * * [simplify]: Extracting #4: cost 131 inf + 3683 121.841 * * [simplify]: Extracting #5: cost 102 inf + 11388 121.847 * * [simplify]: Extracting #6: cost 97 inf + 12896 121.860 * * [simplify]: Extracting #7: cost 45 inf + 33427 121.886 * * [simplify]: Extracting #8: cost 0 inf + 53907 121.915 * * [simplify]: Extracting #9: cost 0 inf + 53757 121.935 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 121.935 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 121.935 * * * * [progress]: [ 110 / 2246 ] simplifiying candidate # 121.936 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 121.936 * * [simplify]: iters left: 6 (20 enodes) 121.941 * * [simplify]: iters left: 5 (79 enodes) 121.956 * * [simplify]: iters left: 4 (146 enodes) 121.997 * * [simplify]: iters left: 3 (362 enodes) 122.198 * * [simplify]: Extracting #0: cost 1 inf + 0 122.198 * * [simplify]: Extracting #1: cost 18 inf + 0 122.199 * * [simplify]: Extracting #2: cost 122 inf + 0 122.204 * * [simplify]: Extracting #3: cost 186 inf + 2 122.206 * * [simplify]: Extracting #4: cost 183 inf + 851 122.208 * * [simplify]: Extracting #5: cost 162 inf + 5320 122.214 * * [simplify]: Extracting #6: cost 88 inf + 30315 122.230 * * [simplify]: Extracting #7: cost 9 inf + 63822 122.265 * * [simplify]: Extracting #8: cost 0 inf + 67354 122.284 * * [simplify]: Extracting #9: cost 0 inf + 67329 122.309 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 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 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 122.309 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 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 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))))) 122.310 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1))) 122.311 * * [simplify]: iters left: 6 (18 enodes) 122.321 * * [simplify]: iters left: 5 (71 enodes) 122.346 * * [simplify]: iters left: 4 (130 enodes) 122.404 * * [simplify]: iters left: 3 (341 enodes) 122.585 * * [simplify]: Extracting #0: cost 1 inf + 0 122.585 * * [simplify]: Extracting #1: cost 0 inf + 1 122.585 * [simplify]: Simplified to 0 122.585 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 0))) 122.586 * * * * [progress]: [ 111 / 2246 ] simplifiying candidate # 122.586 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 122.586 * * [simplify]: iters left: 6 (21 enodes) 122.601 * * [simplify]: iters left: 5 (84 enodes) 122.620 * * [simplify]: iters left: 4 (180 enodes) 122.696 * * [simplify]: Extracting #0: cost 1 inf + 0 122.696 * * [simplify]: Extracting #1: cost 6 inf + 0 122.696 * * [simplify]: Extracting #2: cost 77 inf + 0 122.697 * * [simplify]: Extracting #3: cost 148 inf + 2 122.698 * * [simplify]: Extracting #4: cost 135 inf + 2646 122.700 * * [simplify]: Extracting #5: cost 123 inf + 5268 122.706 * * [simplify]: Extracting #6: cost 114 inf + 7197 122.711 * * [simplify]: Extracting #7: cost 66 inf + 29421 122.724 * * [simplify]: Extracting #8: cost 4 inf + 61137 122.738 * * [simplify]: Extracting #9: cost 0 inf + 62969 122.753 * * [simplify]: Extracting #10: cost 0 inf + 62889 122.767 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (* (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (hypot 1 x))) 122.767 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (* (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (hypot 1 x))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 122.767 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 122.767 * * [simplify]: iters left: 6 (19 enodes) 122.774 * * [simplify]: iters left: 5 (76 enodes) 122.789 * * [simplify]: iters left: 4 (163 enodes) 122.862 * * [simplify]: iters left: 3 (466 enodes) 123.144 * * [simplify]: Extracting #0: cost 1 inf + 0 123.144 * * [simplify]: Extracting #1: cost 0 inf + 1 123.144 * [simplify]: Simplified to 0 123.144 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 123.144 * * * * [progress]: [ 112 / 2246 ] simplifiying candidate # 123.144 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 123.144 * * [simplify]: iters left: 6 (20 enodes) 123.150 * * [simplify]: iters left: 5 (79 enodes) 123.164 * * [simplify]: iters left: 4 (147 enodes) 123.221 * * [simplify]: iters left: 3 (366 enodes) 123.430 * * [simplify]: Extracting #0: cost 1 inf + 0 123.430 * * [simplify]: Extracting #1: cost 16 inf + 0 123.430 * * [simplify]: Extracting #2: cost 102 inf + 0 123.432 * * [simplify]: Extracting #3: cost 182 inf + 3 123.433 * * [simplify]: Extracting #4: cost 170 inf + 1803 123.441 * * [simplify]: Extracting #5: cost 107 inf + 19749 123.469 * * [simplify]: Extracting #6: cost 22 inf + 54489 123.504 * * [simplify]: Extracting #7: cost 0 inf + 64404 123.523 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 123.523 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 123.523 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 123.523 * * [simplify]: iters left: 6 (18 enodes) 123.528 * * [simplify]: iters left: 5 (71 enodes) 123.542 * * [simplify]: iters left: 4 (132 enodes) 123.574 * * [simplify]: iters left: 3 (327 enodes) 123.746 * * [simplify]: Extracting #0: cost 1 inf + 0 123.746 * * [simplify]: Extracting #1: cost 0 inf + 1 123.746 * [simplify]: Simplified to 0 123.746 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 123.746 * * * * [progress]: [ 113 / 2246 ] simplifiying candidate # 123.746 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 123.746 * * [simplify]: iters left: 6 (19 enodes) 123.752 * * [simplify]: iters left: 5 (71 enodes) 123.769 * * [simplify]: iters left: 4 (136 enodes) 123.821 * * [simplify]: iters left: 3 (302 enodes) 123.944 * * [simplify]: Extracting #0: cost 1 inf + 0 123.945 * * [simplify]: Extracting #1: cost 18 inf + 0 123.945 * * [simplify]: Extracting #2: cost 100 inf + 0 123.946 * * [simplify]: Extracting #3: cost 138 inf + 3 123.948 * * [simplify]: Extracting #4: cost 115 inf + 3982 123.950 * * [simplify]: Extracting #5: cost 79 inf + 13022 123.958 * * [simplify]: Extracting #6: cost 18 inf + 35424 123.969 * * [simplify]: Extracting #7: cost 0 inf + 42443 123.988 * * [simplify]: Extracting #8: cost 0 inf + 42318 124.009 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 124.010 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))))) 124.010 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1))) 124.011 * * [simplify]: iters left: 6 (17 enodes) 124.019 * * [simplify]: iters left: 5 (62 enodes) 124.041 * * [simplify]: iters left: 4 (117 enodes) 124.087 * * [simplify]: iters left: 3 (259 enodes) 124.226 * * [simplify]: Extracting #0: cost 1 inf + 0 124.227 * * [simplify]: Extracting #1: cost 0 inf + 1 124.227 * [simplify]: Simplified to 0 124.227 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 0))) 124.227 * * * * [progress]: [ 114 / 2246 ] simplifiying candidate # 124.227 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 124.227 * * [simplify]: iters left: 6 (21 enodes) 124.237 * * [simplify]: iters left: 5 (83 enodes) 124.250 * * [simplify]: iters left: 4 (142 enodes) 124.299 * * [simplify]: iters left: 3 (310 enodes) 124.412 * * [simplify]: Extracting #0: cost 1 inf + 0 124.412 * * [simplify]: Extracting #1: cost 18 inf + 0 124.413 * * [simplify]: Extracting #2: cost 119 inf + 0 124.414 * * [simplify]: Extracting #3: cost 152 inf + 3 124.416 * * [simplify]: Extracting #4: cost 136 inf + 3130 124.420 * * [simplify]: Extracting #5: cost 101 inf + 10419 124.433 * * [simplify]: Extracting #6: cost 42 inf + 32162 124.456 * * [simplify]: Extracting #7: cost 1 inf + 48707 124.479 * * [simplify]: Extracting #8: cost 0 inf + 49125 124.492 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 124.492 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))))) 124.492 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)))) 124.492 * * [simplify]: iters left: 6 (18 enodes) 124.499 * * [simplify]: iters left: 5 (71 enodes) 124.513 * * [simplify]: iters left: 4 (123 enodes) 124.561 * * [simplify]: iters left: 3 (278 enodes) 124.698 * * [simplify]: Extracting #0: cost 1 inf + 0 124.698 * * [simplify]: Extracting #1: cost 0 inf + 1 124.698 * [simplify]: Simplified to 0 124.698 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 0))) 124.699 * * * * [progress]: [ 115 / 2246 ] simplifiying candidate # 124.699 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 124.699 * * [simplify]: iters left: 6 (21 enodes) 124.717 * * [simplify]: iters left: 5 (83 enodes) 124.743 * * [simplify]: iters left: 4 (142 enodes) 124.795 * * [simplify]: iters left: 3 (310 enodes) 125.000 * * [simplify]: Extracting #0: cost 1 inf + 0 125.000 * * [simplify]: Extracting #1: cost 18 inf + 0 125.000 * * [simplify]: Extracting #2: cost 119 inf + 0 125.002 * * [simplify]: Extracting #3: cost 152 inf + 3 125.003 * * [simplify]: Extracting #4: cost 136 inf + 3130 125.008 * * [simplify]: Extracting #5: cost 101 inf + 10419 125.020 * * [simplify]: Extracting #6: cost 42 inf + 32162 125.043 * * [simplify]: Extracting #7: cost 1 inf + 48707 125.067 * * [simplify]: Extracting #8: cost 0 inf + 49125 125.091 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 125.091 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))))) 125.092 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)))) 125.092 * * [simplify]: iters left: 6 (18 enodes) 125.103 * * [simplify]: iters left: 5 (71 enodes) 125.128 * * [simplify]: iters left: 4 (123 enodes) 125.159 * * [simplify]: iters left: 3 (278 enodes) 125.302 * * [simplify]: Extracting #0: cost 1 inf + 0 125.302 * * [simplify]: Extracting #1: cost 0 inf + 1 125.302 * [simplify]: Simplified to 0 125.302 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 0))) 125.302 * * * * [progress]: [ 116 / 2246 ] simplifiying candidate # 125.302 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 125.302 * * [simplify]: iters left: 6 (19 enodes) 125.307 * * [simplify]: iters left: 5 (71 enodes) 125.324 * * [simplify]: iters left: 4 (136 enodes) 125.376 * * [simplify]: iters left: 3 (302 enodes) 125.549 * * [simplify]: Extracting #0: cost 1 inf + 0 125.550 * * [simplify]: Extracting #1: cost 18 inf + 0 125.550 * * [simplify]: Extracting #2: cost 100 inf + 0 125.551 * * [simplify]: Extracting #3: cost 138 inf + 3 125.553 * * [simplify]: Extracting #4: cost 115 inf + 3982 125.557 * * [simplify]: Extracting #5: cost 79 inf + 13022 125.571 * * [simplify]: Extracting #6: cost 18 inf + 35424 125.591 * * [simplify]: Extracting #7: cost 0 inf + 42443 125.610 * * [simplify]: Extracting #8: cost 0 inf + 42318 125.629 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 125.629 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))))) 125.629 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1))) 125.630 * * [simplify]: iters left: 6 (17 enodes) 125.638 * * [simplify]: iters left: 5 (62 enodes) 125.655 * * [simplify]: iters left: 4 (117 enodes) 125.680 * * [simplify]: iters left: 3 (259 enodes) 125.756 * * [simplify]: Extracting #0: cost 1 inf + 0 125.756 * * [simplify]: Extracting #1: cost 0 inf + 1 125.756 * [simplify]: Simplified to 0 125.756 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 0))) 125.756 * * * * [progress]: [ 117 / 2246 ] simplifiying candidate # 125.757 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 125.757 * * [simplify]: iters left: 6 (22 enodes) 125.762 * * [simplify]: iters left: 5 (88 enodes) 125.783 * * [simplify]: iters left: 4 (181 enodes) 125.841 * * [simplify]: Extracting #0: cost 1 inf + 0 125.842 * * [simplify]: Extracting #1: cost 6 inf + 0 125.842 * * [simplify]: Extracting #2: cost 92 inf + 0 125.843 * * [simplify]: Extracting #3: cost 186 inf + 1 125.844 * * [simplify]: Extracting #4: cost 188 inf + 165 125.845 * * [simplify]: Extracting #5: cost 173 inf + 3101 125.851 * * [simplify]: Extracting #6: cost 127 inf + 20066 125.869 * * [simplify]: Extracting #7: cost 18 inf + 79988 125.890 * * [simplify]: Extracting #8: cost 0 inf + 89992 125.922 * * [simplify]: Extracting #9: cost 0 inf + 89272 125.957 * * [simplify]: Extracting #10: cost 0 inf + 89232 125.993 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 125.993 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 125.994 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 125.994 * * [simplify]: iters left: 6 (20 enodes) 126.005 * * [simplify]: iters left: 5 (80 enodes) 126.022 * * [simplify]: iters left: 4 (163 enodes) 126.073 * * [simplify]: iters left: 3 (493 enodes) 126.392 * * [simplify]: Extracting #0: cost 1 inf + 0 126.392 * * [simplify]: Extracting #1: cost 0 inf + 1 126.392 * [simplify]: Simplified to 0 126.392 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 126.392 * * * * [progress]: [ 118 / 2246 ] simplifiying candidate # 126.393 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 126.393 * * [simplify]: iters left: 6 (21 enodes) 126.398 * * [simplify]: iters left: 5 (83 enodes) 126.413 * * [simplify]: iters left: 4 (150 enodes) 126.444 * * [simplify]: iters left: 3 (378 enodes) 126.607 * * [simplify]: Extracting #0: cost 1 inf + 0 126.607 * * [simplify]: Extracting #1: cost 16 inf + 0 126.608 * * [simplify]: Extracting #2: cost 117 inf + 0 126.608 * * [simplify]: Extracting #3: cost 200 inf + 2 126.609 * * [simplify]: Extracting #4: cost 203 inf + 85 126.610 * * [simplify]: Extracting #5: cost 193 inf + 2046 126.618 * * [simplify]: Extracting #6: cost 132 inf + 22881 126.635 * * [simplify]: Extracting #7: cost 17 inf + 75280 126.672 * * [simplify]: Extracting #8: cost 0 inf + 83587 126.713 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 126.713 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 126.714 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 126.714 * * [simplify]: iters left: 6 (19 enodes) 126.724 * * [simplify]: iters left: 5 (75 enodes) 126.749 * * [simplify]: iters left: 4 (134 enodes) 126.805 * * [simplify]: iters left: 3 (346 enodes) 126.945 * * [simplify]: Extracting #0: cost 1 inf + 0 126.945 * * [simplify]: Extracting #1: cost 0 inf + 1 126.945 * [simplify]: Simplified to 0 126.945 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 126.946 * * * * [progress]: [ 119 / 2246 ] simplifiying candidate # 126.946 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 126.947 * * [simplify]: iters left: 6 (20 enodes) 126.957 * * [simplify]: iters left: 5 (78 enodes) 126.982 * * [simplify]: iters left: 4 (141 enodes) 127.017 * * [simplify]: iters left: 3 (346 enodes) 127.205 * * [simplify]: Extracting #0: cost 1 inf + 0 127.205 * * [simplify]: Extracting #1: cost 16 inf + 0 127.205 * * [simplify]: Extracting #2: cost 88 inf + 0 127.206 * * [simplify]: Extracting #3: cost 151 inf + 3 127.207 * * [simplify]: Extracting #4: cost 151 inf + 329 127.208 * * [simplify]: Extracting #5: cost 149 inf + 591 127.210 * * [simplify]: Extracting #6: cost 114 inf + 9039 127.218 * * [simplify]: Extracting #7: cost 28 inf + 40912 127.235 * * [simplify]: Extracting #8: cost 1 inf + 52633 127.249 * * [simplify]: Extracting #9: cost 0 inf + 53186 127.263 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 127.263 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 127.264 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 127.264 * * [simplify]: iters left: 6 (18 enodes) 127.269 * * [simplify]: iters left: 5 (70 enodes) 127.281 * * [simplify]: iters left: 4 (126 enodes) 127.312 * * [simplify]: iters left: 3 (322 enodes) 127.489 * * [simplify]: Extracting #0: cost 1 inf + 0 127.489 * * [simplify]: Extracting #1: cost 0 inf + 1 127.489 * [simplify]: Simplified to 0 127.489 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 127.490 * * * * [progress]: [ 120 / 2246 ] simplifiying candidate # 127.490 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 127.490 * * [simplify]: iters left: 6 (22 enodes) 127.503 * * [simplify]: iters left: 5 (87 enodes) 127.535 * * [simplify]: iters left: 4 (131 enodes) 127.584 * * [simplify]: iters left: 3 (289 enodes) 128.105 * * [simplify]: Extracting #0: cost 1 inf + 0 128.105 * * [simplify]: Extracting #1: cost 14 inf + 0 128.105 * * [simplify]: Extracting #2: cost 89 inf + 0 128.106 * * [simplify]: Extracting #3: cost 147 inf + 2 128.107 * * [simplify]: Extracting #4: cost 149 inf + 247 128.108 * * [simplify]: Extracting #5: cost 145 inf + 685 128.111 * * [simplify]: Extracting #6: cost 109 inf + 10620 128.126 * * [simplify]: Extracting #7: cost 38 inf + 37648 128.152 * * [simplify]: Extracting #8: cost 3 inf + 51763 128.176 * * [simplify]: Extracting #9: cost 0 inf + 52912 128.201 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 128.201 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 128.202 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 128.202 * * [simplify]: iters left: 6 (19 enodes) 128.213 * * [simplify]: iters left: 5 (75 enodes) 128.237 * * [simplify]: iters left: 4 (111 enodes) 128.278 * * [simplify]: iters left: 3 (244 enodes) 128.403 * * [simplify]: Extracting #0: cost 1 inf + 0 128.403 * * [simplify]: Extracting #1: cost 18 inf + 0 128.404 * * [simplify]: Extracting #2: cost 75 inf + 1 128.404 * * [simplify]: Extracting #3: cost 123 inf + 1 128.405 * * [simplify]: Extracting #4: cost 115 inf + 1708 128.407 * * [simplify]: Extracting #5: cost 83 inf + 10385 128.409 * * [simplify]: Extracting #6: cost 78 inf + 11373 128.418 * * [simplify]: Extracting #7: cost 25 inf + 31967 128.428 * * [simplify]: Extracting #8: cost 0 inf + 41997 128.439 * * [simplify]: Extracting #9: cost 0 inf + 41872 128.459 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 128.459 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))))))) 128.460 * * * * [progress]: [ 121 / 2246 ] simplifiying candidate # 128.460 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 128.460 * * [simplify]: iters left: 6 (22 enodes) 128.474 * * [simplify]: iters left: 5 (87 enodes) 128.497 * * [simplify]: iters left: 4 (131 enodes) 128.541 * * [simplify]: iters left: 3 (289 enodes) 128.645 * * [simplify]: Extracting #0: cost 1 inf + 0 128.645 * * [simplify]: Extracting #1: cost 14 inf + 0 128.645 * * [simplify]: Extracting #2: cost 89 inf + 0 128.646 * * [simplify]: Extracting #3: cost 147 inf + 2 128.646 * * [simplify]: Extracting #4: cost 149 inf + 247 128.647 * * [simplify]: Extracting #5: cost 145 inf + 685 128.649 * * [simplify]: Extracting #6: cost 109 inf + 10620 128.656 * * [simplify]: Extracting #7: cost 38 inf + 37648 128.680 * * [simplify]: Extracting #8: cost 3 inf + 51763 128.692 * * [simplify]: Extracting #9: cost 0 inf + 52912 128.705 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 128.705 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 128.705 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 128.705 * * [simplify]: iters left: 6 (19 enodes) 128.714 * * [simplify]: iters left: 5 (75 enodes) 128.741 * * [simplify]: iters left: 4 (111 enodes) 128.780 * * [simplify]: iters left: 3 (244 enodes) 128.885 * * [simplify]: Extracting #0: cost 1 inf + 0 128.885 * * [simplify]: Extracting #1: cost 18 inf + 0 128.886 * * [simplify]: Extracting #2: cost 75 inf + 1 128.886 * * [simplify]: Extracting #3: cost 123 inf + 1 128.887 * * [simplify]: Extracting #4: cost 115 inf + 1708 128.888 * * [simplify]: Extracting #5: cost 83 inf + 10385 128.891 * * [simplify]: Extracting #6: cost 78 inf + 11373 128.897 * * [simplify]: Extracting #7: cost 25 inf + 31967 128.911 * * [simplify]: Extracting #8: cost 0 inf + 41997 128.931 * * [simplify]: Extracting #9: cost 0 inf + 41872 128.955 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 128.955 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))))))) 128.956 * * * * [progress]: [ 122 / 2246 ] simplifiying candidate # 128.956 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 128.957 * * [simplify]: iters left: 6 (20 enodes) 128.967 * * [simplify]: iters left: 5 (78 enodes) 128.994 * * [simplify]: iters left: 4 (141 enodes) 129.040 * * [simplify]: iters left: 3 (346 enodes) 129.226 * * [simplify]: Extracting #0: cost 1 inf + 0 129.226 * * [simplify]: Extracting #1: cost 16 inf + 0 129.226 * * [simplify]: Extracting #2: cost 88 inf + 0 129.228 * * [simplify]: Extracting #3: cost 151 inf + 3 129.229 * * [simplify]: Extracting #4: cost 151 inf + 329 129.231 * * [simplify]: Extracting #5: cost 149 inf + 591 129.235 * * [simplify]: Extracting #6: cost 114 inf + 9039 129.252 * * [simplify]: Extracting #7: cost 28 inf + 40912 129.282 * * [simplify]: Extracting #8: cost 1 inf + 52633 129.310 * * [simplify]: Extracting #9: cost 0 inf + 53186 129.337 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 129.337 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 129.338 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 129.338 * * [simplify]: iters left: 6 (18 enodes) 129.348 * * [simplify]: iters left: 5 (70 enodes) 129.371 * * [simplify]: iters left: 4 (126 enodes) 129.426 * * [simplify]: iters left: 3 (322 enodes) 129.588 * * [simplify]: Extracting #0: cost 1 inf + 0 129.588 * * [simplify]: Extracting #1: cost 0 inf + 1 129.588 * [simplify]: Simplified to 0 129.588 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 129.588 * * * * [progress]: [ 123 / 2246 ] simplifiying candidate # 129.589 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 129.589 * * [simplify]: iters left: 6 (20 enodes) 129.594 * * [simplify]: iters left: 5 (80 enodes) 129.609 * * [simplify]: iters left: 4 (155 enodes) 129.670 * * [simplify]: iters left: 3 (374 enodes) 129.864 * * [simplify]: Extracting #0: cost 1 inf + 0 129.864 * * [simplify]: Extracting #1: cost 16 inf + 0 129.865 * * [simplify]: Extracting #2: cost 105 inf + 0 129.866 * * [simplify]: Extracting #3: cost 201 inf + 2 129.868 * * [simplify]: Extracting #4: cost 204 inf + 86 129.870 * * [simplify]: Extracting #5: cost 193 inf + 1867 129.877 * * [simplify]: Extracting #6: cost 143 inf + 18626 129.916 * * [simplify]: Extracting #7: cost 23 inf + 77275 129.943 * * [simplify]: Extracting #8: cost 0 inf + 88809 129.995 * * [simplify]: Extracting #9: cost 0 inf + 88730 130.038 * * [simplify]: Extracting #10: cost 0 inf + 88691 130.063 * [simplify]: Simplified to (+ (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ -1/2 (* (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 130.063 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ -1/2 (* (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 130.064 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 130.064 * * [simplify]: iters left: 6 (18 enodes) 130.073 * * [simplify]: iters left: 5 (72 enodes) 130.098 * * [simplify]: iters left: 4 (139 enodes) 130.157 * * [simplify]: iters left: 3 (344 enodes) 130.304 * * [simplify]: Extracting #0: cost 1 inf + 0 130.304 * * [simplify]: Extracting #1: cost 0 inf + 1 130.304 * [simplify]: Simplified to 0 130.304 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 130.304 * * * * [progress]: [ 124 / 2246 ] simplifiying candidate # 130.304 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 130.305 * * [simplify]: iters left: 6 (18 enodes) 130.310 * * [simplify]: iters left: 5 (69 enodes) 130.326 * * [simplify]: iters left: 4 (113 enodes) 130.351 * * [simplify]: iters left: 3 (245 enodes) 130.463 * * [simplify]: Extracting #0: cost 1 inf + 0 130.464 * * [simplify]: Extracting #1: cost 14 inf + 0 130.464 * * [simplify]: Extracting #2: cost 77 inf + 0 130.465 * * [simplify]: Extracting #3: cost 131 inf + 2 130.466 * * [simplify]: Extracting #4: cost 133 inf + 166 130.467 * * [simplify]: Extracting #5: cost 131 inf + 362 130.468 * * [simplify]: Extracting #6: cost 115 inf + 3145 130.471 * * [simplify]: Extracting #7: cost 99 inf + 6353 130.479 * * [simplify]: Extracting #8: cost 60 inf + 21658 130.500 * * [simplify]: Extracting #9: cost 5 inf + 44894 130.516 * * [simplify]: Extracting #10: cost 0 inf + 47264 130.529 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 130.529 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 130.530 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 130.530 * * [simplify]: iters left: 6 (16 enodes) 130.534 * * [simplify]: iters left: 5 (62 enodes) 130.547 * * [simplify]: iters left: 4 (105 enodes) 130.589 * * [simplify]: iters left: 3 (234 enodes) 130.663 * * [simplify]: Extracting #0: cost 1 inf + 0 130.663 * * [simplify]: Extracting #1: cost 0 inf + 1 130.663 * [simplify]: Simplified to 0 130.663 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 130.664 * * * * [progress]: [ 125 / 2246 ] simplifiying candidate # 130.664 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 130.664 * * [simplify]: iters left: 6 (18 enodes) 130.673 * * [simplify]: iters left: 5 (71 enodes) 130.689 * * [simplify]: iters left: 4 (125 enodes) 130.716 * * [simplify]: iters left: 3 (265 enodes) 130.811 * * [simplify]: Extracting #0: cost 1 inf + 0 130.811 * * [simplify]: Extracting #1: cost 14 inf + 0 130.812 * * [simplify]: Extracting #2: cost 72 inf + 0 130.813 * * [simplify]: Extracting #3: cost 105 inf + 3 130.813 * * [simplify]: Extracting #4: cost 105 inf + 329 130.814 * * [simplify]: Extracting #5: cost 102 inf + 648 130.817 * * [simplify]: Extracting #6: cost 78 inf + 5735 130.830 * * [simplify]: Extracting #7: cost 14 inf + 25947 130.847 * * [simplify]: Extracting #8: cost 0 inf + 31104 130.860 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 130.860 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))))) 130.860 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1))) 130.860 * * [simplify]: iters left: 6 (16 enodes) 130.865 * * [simplify]: iters left: 5 (63 enodes) 130.876 * * [simplify]: iters left: 4 (113 enodes) 130.911 * * [simplify]: iters left: 3 (256 enodes) 131.034 * * [simplify]: Extracting #0: cost 1 inf + 0 131.034 * * [simplify]: Extracting #1: cost 0 inf + 1 131.034 * [simplify]: Simplified to 0 131.034 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 0))) 131.035 * * * * [progress]: [ 126 / 2246 ] simplifiying candidate # 131.035 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 131.035 * * [simplify]: iters left: 6 (20 enodes) 131.043 * * [simplify]: iters left: 5 (80 enodes) 131.057 * * [simplify]: iters left: 4 (119 enodes) 131.088 * * [simplify]: iters left: 3 (251 enodes) 131.192 * * [simplify]: iters left: 2 (486 enodes) 131.385 * * [simplify]: Extracting #0: cost 1 inf + 0 131.385 * * [simplify]: Extracting #1: cost 24 inf + 0 131.386 * * [simplify]: Extracting #2: cost 75 inf + 0 131.386 * * [simplify]: Extracting #3: cost 115 inf + 3 131.389 * * [simplify]: Extracting #4: cost 111 inf + 582 131.390 * * [simplify]: Extracting #5: cost 82 inf + 4998 131.394 * * [simplify]: Extracting #6: cost 37 inf + 18713 131.407 * * [simplify]: Extracting #7: cost 7 inf + 28972 131.421 * * [simplify]: Extracting #8: cost 0 inf + 31378 131.432 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 131.432 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))))) 131.432 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)))) 131.432 * * [simplify]: iters left: 6 (17 enodes) 131.437 * * [simplify]: iters left: 5 (68 enodes) 131.449 * * [simplify]: iters left: 4 (101 enodes) 131.467 * * [simplify]: iters left: 3 (206 enodes) 131.529 * * [simplify]: iters left: 2 (407 enodes) 131.694 * * [simplify]: Extracting #0: cost 1 inf + 0 131.694 * * [simplify]: Extracting #1: cost 0 inf + 1 131.694 * [simplify]: Simplified to 0 131.694 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 131.694 * * * * [progress]: [ 127 / 2246 ] simplifiying candidate # 131.695 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 131.695 * * [simplify]: iters left: 6 (20 enodes) 131.701 * * [simplify]: iters left: 5 (80 enodes) 131.714 * * [simplify]: iters left: 4 (119 enodes) 131.754 * * [simplify]: iters left: 3 (251 enodes) 131.849 * * [simplify]: iters left: 2 (486 enodes) 132.054 * * [simplify]: Extracting #0: cost 1 inf + 0 132.055 * * [simplify]: Extracting #1: cost 24 inf + 0 132.055 * * [simplify]: Extracting #2: cost 75 inf + 0 132.056 * * [simplify]: Extracting #3: cost 115 inf + 3 132.057 * * [simplify]: Extracting #4: cost 111 inf + 582 132.060 * * [simplify]: Extracting #5: cost 82 inf + 4998 132.068 * * [simplify]: Extracting #6: cost 37 inf + 18713 132.079 * * [simplify]: Extracting #7: cost 7 inf + 28972 132.091 * * [simplify]: Extracting #8: cost 0 inf + 31378 132.103 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 132.103 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))))) 132.104 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)))) 132.104 * * [simplify]: iters left: 6 (17 enodes) 132.114 * * [simplify]: iters left: 5 (68 enodes) 132.137 * * [simplify]: iters left: 4 (101 enodes) 132.167 * * [simplify]: iters left: 3 (206 enodes) 132.242 * * [simplify]: iters left: 2 (407 enodes) 132.479 * * [simplify]: Extracting #0: cost 1 inf + 0 132.479 * * [simplify]: Extracting #1: cost 0 inf + 1 132.479 * [simplify]: Simplified to 0 132.479 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 132.479 * * * * [progress]: [ 128 / 2246 ] simplifiying candidate # 132.480 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 132.480 * * [simplify]: iters left: 6 (18 enodes) 132.489 * * [simplify]: iters left: 5 (71 enodes) 132.504 * * [simplify]: iters left: 4 (125 enodes) 132.544 * * [simplify]: iters left: 3 (265 enodes) 132.696 * * [simplify]: Extracting #0: cost 1 inf + 0 132.696 * * [simplify]: Extracting #1: cost 14 inf + 0 132.697 * * [simplify]: Extracting #2: cost 72 inf + 0 132.697 * * [simplify]: Extracting #3: cost 105 inf + 3 132.698 * * [simplify]: Extracting #4: cost 105 inf + 329 132.699 * * [simplify]: Extracting #5: cost 102 inf + 648 132.701 * * [simplify]: Extracting #6: cost 78 inf + 5735 132.712 * * [simplify]: Extracting #7: cost 14 inf + 25947 132.728 * * [simplify]: Extracting #8: cost 0 inf + 31104 132.745 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 132.745 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))))) 132.746 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1))) 132.746 * * [simplify]: iters left: 6 (16 enodes) 132.755 * * [simplify]: iters left: 5 (63 enodes) 132.777 * * [simplify]: iters left: 4 (113 enodes) 132.817 * * [simplify]: iters left: 3 (256 enodes) 132.900 * * [simplify]: Extracting #0: cost 1 inf + 0 132.900 * * [simplify]: Extracting #1: cost 0 inf + 1 132.900 * [simplify]: Simplified to 0 132.900 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 0))) 132.901 * * * * [progress]: [ 129 / 2246 ] simplifiying candidate # 132.901 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 132.901 * * [simplify]: iters left: 6 (20 enodes) 132.907 * * [simplify]: iters left: 5 (79 enodes) 132.928 * * [simplify]: iters left: 4 (150 enodes) 132.963 * * [simplify]: iters left: 3 (343 enodes) 133.118 * * [simplify]: Extracting #0: cost 1 inf + 0 133.118 * * [simplify]: Extracting #1: cost 18 inf + 0 133.118 * * [simplify]: Extracting #2: cost 92 inf + 0 133.119 * * [simplify]: Extracting #3: cost 139 inf + 2 133.119 * * [simplify]: Extracting #4: cost 132 inf + 485 133.120 * * [simplify]: Extracting #5: cost 119 inf + 2263 133.121 * * [simplify]: Extracting #6: cost 114 inf + 3353 133.126 * * [simplify]: Extracting #7: cost 64 inf + 24129 133.144 * * [simplify]: Extracting #8: cost 6 inf + 50056 133.168 * * [simplify]: Extracting #9: cost 0 inf + 52611 133.201 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 133.202 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 133.202 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 133.203 * * [simplify]: iters left: 6 (18 enodes) 133.213 * * [simplify]: iters left: 5 (71 enodes) 133.238 * * [simplify]: iters left: 4 (135 enodes) 133.298 * * [simplify]: iters left: 3 (317 enodes) 133.472 * * [simplify]: Extracting #0: cost 1 inf + 0 133.472 * * [simplify]: Extracting #1: cost 0 inf + 1 133.472 * [simplify]: Simplified to 0 133.472 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 133.472 * * * * [progress]: [ 130 / 2246 ] simplifiying candidate # 133.473 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 133.473 * * [simplify]: iters left: 6 (19 enodes) 133.482 * * [simplify]: iters left: 5 (74 enodes) 133.507 * * [simplify]: iters left: 4 (124 enodes) 133.535 * * [simplify]: iters left: 3 (248 enodes) 133.661 * * [simplify]: iters left: 2 (452 enodes) 133.876 * * [simplify]: Extracting #0: cost 1 inf + 0 133.876 * * [simplify]: Extracting #1: cost 27 inf + 0 133.876 * * [simplify]: Extracting #2: cost 84 inf + 0 133.877 * * [simplify]: Extracting #3: cost 119 inf + 3 133.877 * * [simplify]: Extracting #4: cost 114 inf + 379 133.879 * * [simplify]: Extracting #5: cost 84 inf + 5905 133.885 * * [simplify]: Extracting #6: cost 25 inf + 24715 133.896 * * [simplify]: Extracting #7: cost 0 inf + 34124 133.916 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 133.916 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 133.917 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 133.917 * * [simplify]: iters left: 6 (17 enodes) 133.926 * * [simplify]: iters left: 5 (66 enodes) 133.940 * * [simplify]: iters left: 4 (111 enodes) 133.971 * * [simplify]: iters left: 3 (224 enodes) 134.078 * * [simplify]: iters left: 2 (415 enodes) 134.259 * * [simplify]: Extracting #0: cost 1 inf + 0 134.260 * * [simplify]: Extracting #1: cost 0 inf + 1 134.260 * [simplify]: Simplified to 0 134.260 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 0))) 134.260 * * * * [progress]: [ 131 / 2246 ] simplifiying candidate # 134.261 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 134.261 * * [simplify]: iters left: 6 (18 enodes) 134.271 * * [simplify]: iters left: 5 (65 enodes) 134.293 * * [simplify]: iters left: 4 (110 enodes) 134.332 * * [simplify]: iters left: 3 (184 enodes) 134.401 * * [simplify]: iters left: 2 (334 enodes) 134.495 * * [simplify]: iters left: 1 (476 enodes) 134.724 * * [simplify]: Extracting #0: cost 1 inf + 0 134.724 * * [simplify]: Extracting #1: cost 19 inf + 0 134.725 * * [simplify]: Extracting #2: cost 58 inf + 1 134.725 * * [simplify]: Extracting #3: cost 82 inf + 3 134.727 * * [simplify]: Extracting #4: cost 75 inf + 1768 134.734 * * [simplify]: Extracting #5: cost 30 inf + 12285 134.747 * * [simplify]: Extracting #6: cost 4 inf + 20253 134.757 * * [simplify]: Extracting #7: cost 0 inf + 21660 134.764 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 134.764 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))))) 134.764 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1))) 134.764 * * [simplify]: iters left: 6 (16 enodes) 134.769 * * [simplify]: iters left: 5 (58 enodes) 134.779 * * [simplify]: iters left: 4 (106 enodes) 134.807 * * [simplify]: iters left: 3 (186 enodes) 134.855 * * [simplify]: iters left: 2 (342 enodes) 134.954 * * [simplify]: iters left: 1 (486 enodes) 135.107 * * [simplify]: Extracting #0: cost 1 inf + 0 135.107 * * [simplify]: Extracting #1: cost 0 inf + 1 135.108 * [simplify]: Simplified to 0 135.108 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 0))) 135.108 * * * * [progress]: [ 132 / 2246 ] simplifiying candidate # 135.108 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 135.109 * * [simplify]: iters left: 6 (20 enodes) 135.121 * * [simplify]: iters left: 5 (78 enodes) 135.134 * * [simplify]: iters left: 4 (122 enodes) 135.156 * * [simplify]: iters left: 3 (199 enodes) 135.223 * * [simplify]: iters left: 2 (341 enodes) 135.358 * * [simplify]: iters left: 1 (474 enodes) 135.582 * * [simplify]: Extracting #0: cost 1 inf + 0 135.582 * * [simplify]: Extracting #1: cost 19 inf + 0 135.582 * * [simplify]: Extracting #2: cost 58 inf + 1 135.582 * * [simplify]: Extracting #3: cost 81 inf + 44 135.584 * * [simplify]: Extracting #4: cost 53 inf + 6561 135.590 * * [simplify]: Extracting #5: cost 16 inf + 16535 135.603 * * [simplify]: Extracting #6: cost 3 inf + 20984 135.610 * * [simplify]: Extracting #7: cost 0 inf + 22078 135.621 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 135.621 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))))) 135.621 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1)))) 135.621 * * [simplify]: iters left: 6 (17 enodes) 135.627 * * [simplify]: iters left: 5 (66 enodes) 135.638 * * [simplify]: iters left: 4 (101 enodes) 135.663 * * [simplify]: iters left: 3 (170 enodes) 135.698 * * [simplify]: iters left: 2 (266 enodes) 135.766 * * [simplify]: iters left: 1 (380 enodes) 135.895 * * [simplify]: Extracting #0: cost 1 inf + 0 135.895 * * [simplify]: Extracting #1: cost 0 inf + 1 135.895 * [simplify]: Simplified to 0 135.895 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 0))) 135.896 * * * * [progress]: [ 133 / 2246 ] simplifiying candidate # 135.896 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 135.896 * * [simplify]: iters left: 6 (20 enodes) 135.902 * * [simplify]: iters left: 5 (78 enodes) 135.925 * * [simplify]: iters left: 4 (122 enodes) 135.964 * * [simplify]: iters left: 3 (199 enodes) 136.022 * * [simplify]: iters left: 2 (341 enodes) 136.135 * * [simplify]: iters left: 1 (474 enodes) 136.313 * * [simplify]: Extracting #0: cost 1 inf + 0 136.313 * * [simplify]: Extracting #1: cost 19 inf + 0 136.313 * * [simplify]: Extracting #2: cost 58 inf + 1 136.314 * * [simplify]: Extracting #3: cost 81 inf + 44 136.317 * * [simplify]: Extracting #4: cost 53 inf + 6561 136.327 * * [simplify]: Extracting #5: cost 16 inf + 16535 136.341 * * [simplify]: Extracting #6: cost 3 inf + 20984 136.355 * * [simplify]: Extracting #7: cost 0 inf + 22078 136.369 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 136.369 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))))) 136.370 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1)))) 136.370 * * [simplify]: iters left: 6 (17 enodes) 136.381 * * [simplify]: iters left: 5 (66 enodes) 136.401 * * [simplify]: iters left: 4 (101 enodes) 136.422 * * [simplify]: iters left: 3 (170 enodes) 136.467 * * [simplify]: iters left: 2 (266 enodes) 136.529 * * [simplify]: iters left: 1 (380 enodes) 136.631 * * [simplify]: Extracting #0: cost 1 inf + 0 136.631 * * [simplify]: Extracting #1: cost 0 inf + 1 136.631 * [simplify]: Simplified to 0 136.631 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 0))) 136.632 * * * * [progress]: [ 134 / 2246 ] simplifiying candidate # 136.632 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 136.632 * * [simplify]: iters left: 6 (18 enodes) 136.637 * * [simplify]: iters left: 5 (65 enodes) 136.655 * * [simplify]: iters left: 4 (110 enodes) 136.674 * * [simplify]: iters left: 3 (184 enodes) 136.748 * * [simplify]: iters left: 2 (334 enodes) 136.857 * * [simplify]: iters left: 1 (476 enodes) 137.066 * * [simplify]: Extracting #0: cost 1 inf + 0 137.066 * * [simplify]: Extracting #1: cost 19 inf + 0 137.066 * * [simplify]: Extracting #2: cost 58 inf + 1 137.067 * * [simplify]: Extracting #3: cost 82 inf + 3 137.068 * * [simplify]: Extracting #4: cost 75 inf + 1768 137.075 * * [simplify]: Extracting #5: cost 30 inf + 12285 137.082 * * [simplify]: Extracting #6: cost 4 inf + 20253 137.092 * * [simplify]: Extracting #7: cost 0 inf + 21660 137.099 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 137.099 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))))) 137.099 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1))) 137.099 * * [simplify]: iters left: 6 (16 enodes) 137.104 * * [simplify]: iters left: 5 (58 enodes) 137.119 * * [simplify]: iters left: 4 (106 enodes) 137.156 * * [simplify]: iters left: 3 (186 enodes) 137.222 * * [simplify]: iters left: 2 (342 enodes) 137.322 * * [simplify]: iters left: 1 (486 enodes) 137.467 * * [simplify]: Extracting #0: cost 1 inf + 0 137.467 * * [simplify]: Extracting #1: cost 0 inf + 1 137.467 * [simplify]: Simplified to 0 137.467 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 0))) 137.467 * * * * [progress]: [ 135 / 2246 ] simplifiying candidate # 137.467 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 137.468 * * [simplify]: iters left: 6 (21 enodes) 137.473 * * [simplify]: iters left: 5 (86 enodes) 137.489 * * [simplify]: iters left: 4 (184 enodes) 137.539 * * [simplify]: Extracting #0: cost 1 inf + 0 137.539 * * [simplify]: Extracting #1: cost 6 inf + 0 137.539 * * [simplify]: Extracting #2: cost 81 inf + 0 137.540 * * [simplify]: Extracting #3: cost 170 inf + 1 137.541 * * [simplify]: Extracting #4: cost 172 inf + 4 137.542 * * [simplify]: Extracting #5: cost 171 inf + 119 137.544 * * [simplify]: Extracting #6: cost 144 inf + 5896 137.554 * * [simplify]: Extracting #7: cost 81 inf + 32229 137.582 * * [simplify]: Extracting #8: cost 3 inf + 72094 137.601 * * [simplify]: Extracting #9: cost 0 inf + 73228 137.620 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (* (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (hypot 1 x))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (hypot 1 x))))) 137.620 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (* (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (hypot 1 x))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 137.621 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 137.621 * * [simplify]: iters left: 6 (19 enodes) 137.630 * * [simplify]: iters left: 5 (78 enodes) 137.660 * * [simplify]: iters left: 4 (164 enodes) 137.740 * * [simplify]: iters left: 3 (469 enodes) 138.118 * * [simplify]: Extracting #0: cost 1 inf + 0 138.118 * * [simplify]: Extracting #1: cost 0 inf + 1 138.118 * [simplify]: Simplified to 0 138.118 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 138.119 * * * * [progress]: [ 136 / 2246 ] simplifiying candidate # 138.119 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 138.120 * * [simplify]: iters left: 6 (20 enodes) 138.130 * * [simplify]: iters left: 5 (81 enodes) 138.164 * * [simplify]: iters left: 4 (154 enodes) 138.206 * * [simplify]: iters left: 3 (372 enodes) 138.418 * * [simplify]: Extracting #0: cost 1 inf + 0 138.418 * * [simplify]: Extracting #1: cost 20 inf + 0 138.419 * * [simplify]: Extracting #2: cost 169 inf + 0 138.421 * * [simplify]: Extracting #3: cost 229 inf + 4 138.423 * * [simplify]: Extracting #4: cost 233 inf + 4 138.425 * * [simplify]: Extracting #5: cost 217 inf + 3419 138.429 * * [simplify]: Extracting #6: cost 153 inf + 23399 138.446 * * [simplify]: Extracting #7: cost 38 inf + 71868 138.483 * * [simplify]: Extracting #8: cost 0 inf + 88933 138.514 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 138.514 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 138.514 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 138.514 * * [simplify]: iters left: 6 (18 enodes) 138.519 * * [simplify]: iters left: 5 (73 enodes) 138.532 * * [simplify]: iters left: 4 (136 enodes) 138.585 * * [simplify]: iters left: 3 (336 enodes) 138.793 * * [simplify]: Extracting #0: cost 1 inf + 0 138.793 * * [simplify]: Extracting #1: cost 0 inf + 1 138.793 * [simplify]: Simplified to 0 138.793 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 138.794 * * * * [progress]: [ 137 / 2246 ] simplifiying candidate # 138.794 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 138.794 * * [simplify]: iters left: 6 (19 enodes) 138.799 * * [simplify]: iters left: 5 (76 enodes) 138.813 * * [simplify]: iters left: 4 (144 enodes) 138.849 * * [simplify]: iters left: 3 (329 enodes) 139.013 * * [simplify]: Extracting #0: cost 1 inf + 0 139.014 * * [simplify]: Extracting #1: cost 16 inf + 0 139.014 * * [simplify]: Extracting #2: cost 126 inf + 1 139.015 * * [simplify]: Extracting #3: cost 162 inf + 4 139.016 * * [simplify]: Extracting #4: cost 166 inf + 5 139.017 * * [simplify]: Extracting #5: cost 166 inf + 63 139.018 * * [simplify]: Extracting #6: cost 128 inf + 7747 139.022 * * [simplify]: Extracting #7: cost 86 inf + 19706 139.034 * * [simplify]: Extracting #8: cost 8 inf + 50785 139.052 * * [simplify]: Extracting #9: cost 0 inf + 54222 139.082 * [simplify]: Simplified to (fma (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ -1 (* (cbrt (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 139.082 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ -1 (* (cbrt (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 139.083 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 139.083 * * [simplify]: iters left: 6 (17 enodes) 139.092 * * [simplify]: iters left: 5 (68 enodes) 139.108 * * [simplify]: iters left: 4 (127 enodes) 139.140 * * [simplify]: iters left: 3 (292 enodes) 139.276 * * [simplify]: Extracting #0: cost 1 inf + 0 139.276 * * [simplify]: Extracting #1: cost 0 inf + 1 139.276 * [simplify]: Simplified to 0 139.276 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 139.277 * * * * [progress]: [ 138 / 2246 ] simplifiying candidate # 139.277 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 139.277 * * [simplify]: iters left: 6 (21 enodes) 139.283 * * [simplify]: iters left: 5 (85 enodes) 139.297 * * [simplify]: iters left: 4 (131 enodes) 139.343 * * [simplify]: iters left: 3 (293 enodes) 139.480 * * [simplify]: Extracting #0: cost 1 inf + 0 139.480 * * [simplify]: Extracting #1: cost 13 inf + 0 139.480 * * [simplify]: Extracting #2: cost 103 inf + 0 139.481 * * [simplify]: Extracting #3: cost 161 inf + 4 139.482 * * [simplify]: Extracting #4: cost 165 inf + 5 139.482 * * [simplify]: Extracting #5: cost 164 inf + 120 139.484 * * [simplify]: Extracting #6: cost 132 inf + 6584 139.486 * * [simplify]: Extracting #7: cost 99 inf + 15037 139.492 * * [simplify]: Extracting #8: cost 52 inf + 32050 139.504 * * [simplify]: Extracting #9: cost 2 inf + 52067 139.524 * * [simplify]: Extracting #10: cost 0 inf + 53039 139.538 * [simplify]: Simplified to (fma (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ -1 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 139.538 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ -1 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 139.539 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 139.539 * * [simplify]: iters left: 6 (18 enodes) 139.544 * * [simplify]: iters left: 5 (73 enodes) 139.558 * * [simplify]: iters left: 4 (112 enodes) 139.598 * * [simplify]: iters left: 3 (236 enodes) 139.692 * * [simplify]: Extracting #0: cost 1 inf + 0 139.692 * * [simplify]: Extracting #1: cost 20 inf + 0 139.693 * * [simplify]: Extracting #2: cost 95 inf + 1 139.694 * * [simplify]: Extracting #3: cost 118 inf + 4 139.695 * * [simplify]: Extracting #4: cost 111 inf + 1145 139.697 * * [simplify]: Extracting #5: cost 86 inf + 6974 139.701 * * [simplify]: Extracting #6: cost 75 inf + 9748 139.705 * * [simplify]: Extracting #7: cost 70 inf + 10597 139.716 * * [simplify]: Extracting #8: cost 17 inf + 29887 139.734 * * [simplify]: Extracting #9: cost 0 inf + 36382 139.750 * * [simplify]: Extracting #10: cost 0 inf + 36332 139.760 * [simplify]: Simplified to (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 139.760 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) 139.760 * * * * [progress]: [ 139 / 2246 ] simplifiying candidate # 139.760 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 139.761 * * [simplify]: iters left: 6 (21 enodes) 139.767 * * [simplify]: iters left: 5 (85 enodes) 139.787 * * [simplify]: iters left: 4 (131 enodes) 139.831 * * [simplify]: iters left: 3 (293 enodes) 139.990 * * [simplify]: Extracting #0: cost 1 inf + 0 139.990 * * [simplify]: Extracting #1: cost 13 inf + 0 139.991 * * [simplify]: Extracting #2: cost 103 inf + 0 139.992 * * [simplify]: Extracting #3: cost 161 inf + 4 139.993 * * [simplify]: Extracting #4: cost 165 inf + 5 139.994 * * [simplify]: Extracting #5: cost 164 inf + 120 139.996 * * [simplify]: Extracting #6: cost 132 inf + 6584 140.001 * * [simplify]: Extracting #7: cost 99 inf + 15037 140.014 * * [simplify]: Extracting #8: cost 52 inf + 32050 140.028 * * [simplify]: Extracting #9: cost 2 inf + 52067 140.040 * * [simplify]: Extracting #10: cost 0 inf + 53039 140.057 * [simplify]: Simplified to (fma (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ -1 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 140.058 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ -1 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 140.058 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 140.059 * * [simplify]: iters left: 6 (18 enodes) 140.066 * * [simplify]: iters left: 5 (73 enodes) 140.081 * * [simplify]: iters left: 4 (112 enodes) 140.113 * * [simplify]: iters left: 3 (236 enodes) 140.226 * * [simplify]: Extracting #0: cost 1 inf + 0 140.226 * * [simplify]: Extracting #1: cost 20 inf + 0 140.227 * * [simplify]: Extracting #2: cost 95 inf + 1 140.227 * * [simplify]: Extracting #3: cost 118 inf + 4 140.228 * * [simplify]: Extracting #4: cost 111 inf + 1145 140.229 * * [simplify]: Extracting #5: cost 86 inf + 6974 140.231 * * [simplify]: Extracting #6: cost 75 inf + 9748 140.234 * * [simplify]: Extracting #7: cost 70 inf + 10597 140.240 * * [simplify]: Extracting #8: cost 17 inf + 29887 140.249 * * [simplify]: Extracting #9: cost 0 inf + 36382 140.266 * * [simplify]: Extracting #10: cost 0 inf + 36332 140.287 * [simplify]: Simplified to (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 140.287 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) 140.288 * * * * [progress]: [ 140 / 2246 ] simplifiying candidate # 140.288 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 140.288 * * [simplify]: iters left: 6 (19 enodes) 140.298 * * [simplify]: iters left: 5 (76 enodes) 140.323 * * [simplify]: iters left: 4 (144 enodes) 140.356 * * [simplify]: iters left: 3 (329 enodes) 140.576 * * [simplify]: Extracting #0: cost 1 inf + 0 140.576 * * [simplify]: Extracting #1: cost 16 inf + 0 140.577 * * [simplify]: Extracting #2: cost 126 inf + 1 140.578 * * [simplify]: Extracting #3: cost 162 inf + 4 140.579 * * [simplify]: Extracting #4: cost 166 inf + 5 140.581 * * [simplify]: Extracting #5: cost 166 inf + 63 140.584 * * [simplify]: Extracting #6: cost 128 inf + 7747 140.591 * * [simplify]: Extracting #7: cost 86 inf + 19706 140.614 * * [simplify]: Extracting #8: cost 8 inf + 50785 140.641 * * [simplify]: Extracting #9: cost 0 inf + 54222 140.664 * [simplify]: Simplified to (fma (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ -1 (* (cbrt (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 140.664 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ -1 (* (cbrt (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 140.665 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 140.665 * * [simplify]: iters left: 6 (17 enodes) 140.669 * * [simplify]: iters left: 5 (68 enodes) 140.682 * * [simplify]: iters left: 4 (127 enodes) 140.729 * * [simplify]: iters left: 3 (292 enodes) 140.922 * * [simplify]: Extracting #0: cost 1 inf + 0 140.922 * * [simplify]: Extracting #1: cost 0 inf + 1 140.922 * [simplify]: Simplified to 0 140.922 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 140.922 * * * * [progress]: [ 141 / 2246 ] simplifiying candidate # 140.923 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 140.923 * * [simplify]: iters left: 6 (20 enodes) 140.932 * * [simplify]: iters left: 5 (81 enodes) 140.949 * * [simplify]: iters left: 4 (169 enodes) 141.014 * * [simplify]: iters left: 3 (406 enodes) 141.299 * * [simplify]: Extracting #0: cost 1 inf + 0 141.299 * * [simplify]: Extracting #1: cost 22 inf + 0 141.300 * * [simplify]: Extracting #2: cost 191 inf + 0 141.301 * * [simplify]: Extracting #3: cost 272 inf + 4 141.302 * * [simplify]: Extracting #4: cost 275 inf + 5 141.303 * * [simplify]: Extracting #5: cost 262 inf + 1969 141.307 * * [simplify]: Extracting #6: cost 217 inf + 15917 141.331 * * [simplify]: Extracting #7: cost 62 inf + 86559 141.402 * * [simplify]: Extracting #8: cost 0 inf + 115706 141.469 * * [simplify]: Extracting #9: cost 0 inf + 115506 141.535 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (hypot 1 x)))))) 141.535 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (hypot 1 x)))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 141.536 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 141.537 * * [simplify]: iters left: 6 (18 enodes) 141.546 * * [simplify]: iters left: 5 (73 enodes) 141.572 * * [simplify]: iters left: 4 (149 enodes) 141.612 * * [simplify]: iters left: 3 (359 enodes) 141.827 * * [simplify]: Extracting #0: cost 1 inf + 0 141.827 * * [simplify]: Extracting #1: cost 0 inf + 1 141.827 * [simplify]: Simplified to 0 141.827 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 141.827 * * * * [progress]: [ 142 / 2246 ] simplifiying candidate # 141.828 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 141.828 * * [simplify]: iters left: 6 (19 enodes) 141.837 * * [simplify]: iters left: 5 (75 enodes) 141.861 * * [simplify]: iters left: 4 (139 enodes) 141.890 * * [simplify]: iters left: 3 (294 enodes) 142.026 * * [simplify]: Extracting #0: cost 1 inf + 0 142.027 * * [simplify]: Extracting #1: cost 18 inf + 0 142.027 * * [simplify]: Extracting #2: cost 141 inf + 0 142.028 * * [simplify]: Extracting #3: cost 176 inf + 4 142.030 * * [simplify]: Extracting #4: cost 180 inf + 4 142.031 * * [simplify]: Extracting #5: cost 171 inf + 1298 142.036 * * [simplify]: Extracting #6: cost 112 inf + 18220 142.051 * * [simplify]: Extracting #7: cost 5 inf + 59161 142.082 * * [simplify]: Extracting #8: cost 0 inf + 61093 142.116 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 142.116 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 142.116 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 142.117 * * [simplify]: iters left: 6 (17 enodes) 142.126 * * [simplify]: iters left: 5 (67 enodes) 142.148 * * [simplify]: iters left: 4 (121 enodes) 142.173 * * [simplify]: iters left: 3 (261 enodes) 142.311 * * [simplify]: Extracting #0: cost 1 inf + 0 142.311 * * [simplify]: Extracting #1: cost 0 inf + 1 142.311 * [simplify]: Simplified to 0 142.311 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 142.311 * * * * [progress]: [ 143 / 2246 ] simplifiying candidate # 142.312 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 142.312 * * [simplify]: iters left: 6 (18 enodes) 142.317 * * [simplify]: iters left: 5 (71 enodes) 142.342 * * [simplify]: iters left: 4 (124 enodes) 142.399 * * [simplify]: iters left: 3 (257 enodes) 142.595 * * [simplify]: Extracting #0: cost 1 inf + 0 142.595 * * [simplify]: Extracting #1: cost 14 inf + 0 142.596 * * [simplify]: Extracting #2: cost 100 inf + 1 142.597 * * [simplify]: Extracting #3: cost 127 inf + 5 142.598 * * [simplify]: Extracting #4: cost 132 inf + 5 142.599 * * [simplify]: Extracting #5: cost 131 inf + 120 142.601 * * [simplify]: Extracting #6: cost 99 inf + 6106 142.619 * * [simplify]: Extracting #7: cost 17 inf + 32431 142.639 * * [simplify]: Extracting #8: cost 0 inf + 38068 142.659 * * [simplify]: Extracting #9: cost 0 inf + 38018 142.680 * [simplify]: Simplified to (fma (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ -1 (* (sqrt (hypot 1 x)) (sqrt (hypot 1 x)))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 142.680 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ -1 (* (sqrt (hypot 1 x)) (sqrt (hypot 1 x)))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))))) 142.681 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1))) 142.681 * * [simplify]: iters left: 6 (16 enodes) 142.689 * * [simplify]: iters left: 5 (63 enodes) 142.711 * * [simplify]: iters left: 4 (109 enodes) 142.746 * * [simplify]: iters left: 3 (230 enodes) 142.850 * * [simplify]: Extracting #0: cost 1 inf + 0 142.850 * * [simplify]: Extracting #1: cost 0 inf + 1 142.850 * [simplify]: Simplified to 0 142.850 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 0))) 142.850 * * * * [progress]: [ 144 / 2246 ] simplifiying candidate # 142.851 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 142.851 * * [simplify]: iters left: 6 (20 enodes) 142.863 * * [simplify]: iters left: 5 (80 enodes) 142.888 * * [simplify]: iters left: 4 (120 enodes) 142.934 * * [simplify]: iters left: 3 (259 enodes) 143.036 * * [simplify]: Extracting #0: cost 1 inf + 0 143.037 * * [simplify]: Extracting #1: cost 13 inf + 0 143.037 * * [simplify]: Extracting #2: cost 88 inf + 0 143.037 * * [simplify]: Extracting #3: cost 121 inf + 5 143.038 * * [simplify]: Extracting #4: cost 126 inf + 5 143.038 * * [simplify]: Extracting #5: cost 126 inf + 63 143.039 * * [simplify]: Extracting #6: cost 102 inf + 3984 143.042 * * [simplify]: Extracting #7: cost 61 inf + 13663 143.056 * * [simplify]: Extracting #8: cost 2 inf + 34640 143.074 * * [simplify]: Extracting #9: cost 0 inf + 35387 143.092 * [simplify]: Simplified to (fma (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ -1 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 143.093 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ -1 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))))) 143.093 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)))) 143.094 * * [simplify]: iters left: 6 (17 enodes) 143.104 * * [simplify]: iters left: 5 (68 enodes) 143.127 * * [simplify]: iters left: 4 (102 enodes) 143.163 * * [simplify]: iters left: 3 (202 enodes) 143.245 * * [simplify]: iters left: 2 (433 enodes) 143.533 * * [simplify]: Extracting #0: cost 1 inf + 0 143.533 * * [simplify]: Extracting #1: cost 0 inf + 1 143.533 * [simplify]: Simplified to 0 143.533 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 143.534 * * * * [progress]: [ 145 / 2246 ] simplifiying candidate # 143.534 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 143.534 * * [simplify]: iters left: 6 (20 enodes) 143.546 * * [simplify]: iters left: 5 (80 enodes) 143.561 * * [simplify]: iters left: 4 (120 enodes) 143.591 * * [simplify]: iters left: 3 (259 enodes) 143.702 * * [simplify]: Extracting #0: cost 1 inf + 0 143.702 * * [simplify]: Extracting #1: cost 13 inf + 0 143.703 * * [simplify]: Extracting #2: cost 88 inf + 0 143.703 * * [simplify]: Extracting #3: cost 121 inf + 5 143.704 * * [simplify]: Extracting #4: cost 126 inf + 5 143.704 * * [simplify]: Extracting #5: cost 126 inf + 63 143.705 * * [simplify]: Extracting #6: cost 102 inf + 3984 143.708 * * [simplify]: Extracting #7: cost 61 inf + 13663 143.716 * * [simplify]: Extracting #8: cost 2 inf + 34640 143.730 * * [simplify]: Extracting #9: cost 0 inf + 35387 143.748 * [simplify]: Simplified to (fma (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ -1 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 143.749 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ -1 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))))) 143.749 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)))) 143.749 * * [simplify]: iters left: 6 (17 enodes) 143.759 * * [simplify]: iters left: 5 (68 enodes) 143.777 * * [simplify]: iters left: 4 (102 enodes) 143.797 * * [simplify]: iters left: 3 (202 enodes) 143.874 * * [simplify]: iters left: 2 (433 enodes) 144.139 * * [simplify]: Extracting #0: cost 1 inf + 0 144.139 * * [simplify]: Extracting #1: cost 0 inf + 1 144.139 * [simplify]: Simplified to 0 144.139 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 144.139 * * * * [progress]: [ 146 / 2246 ] simplifiying candidate # 144.140 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 144.140 * * [simplify]: iters left: 6 (18 enodes) 144.149 * * [simplify]: iters left: 5 (71 enodes) 144.163 * * [simplify]: iters left: 4 (124 enodes) 144.198 * * [simplify]: iters left: 3 (257 enodes) 144.353 * * [simplify]: Extracting #0: cost 1 inf + 0 144.353 * * [simplify]: Extracting #1: cost 14 inf + 0 144.353 * * [simplify]: Extracting #2: cost 100 inf + 1 144.354 * * [simplify]: Extracting #3: cost 127 inf + 5 144.354 * * [simplify]: Extracting #4: cost 132 inf + 5 144.355 * * [simplify]: Extracting #5: cost 131 inf + 120 144.356 * * [simplify]: Extracting #6: cost 99 inf + 6106 144.363 * * [simplify]: Extracting #7: cost 17 inf + 32431 144.374 * * [simplify]: Extracting #8: cost 0 inf + 38068 144.384 * * [simplify]: Extracting #9: cost 0 inf + 38018 144.405 * [simplify]: Simplified to (fma (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ -1 (* (sqrt (hypot 1 x)) (sqrt (hypot 1 x)))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 144.405 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ -1 (* (sqrt (hypot 1 x)) (sqrt (hypot 1 x)))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))))) 144.406 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1))) 144.406 * * [simplify]: iters left: 6 (16 enodes) 144.414 * * [simplify]: iters left: 5 (63 enodes) 144.435 * * [simplify]: iters left: 4 (109 enodes) 144.482 * * [simplify]: iters left: 3 (230 enodes) 144.591 * * [simplify]: Extracting #0: cost 1 inf + 0 144.591 * * [simplify]: Extracting #1: cost 0 inf + 1 144.591 * [simplify]: Simplified to 0 144.591 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 0))) 144.592 * * * * [progress]: [ 147 / 2246 ] simplifiying candidate # 144.592 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 144.592 * * [simplify]: iters left: 6 (18 enodes) 144.601 * * [simplify]: iters left: 5 (71 enodes) 144.619 * * [simplify]: iters left: 4 (141 enodes) 144.652 * * [simplify]: iters left: 3 (320 enodes) 144.827 * * [simplify]: Extracting #0: cost 1 inf + 0 144.827 * * [simplify]: Extracting #1: cost 19 inf + 0 144.828 * * [simplify]: Extracting #2: cost 131 inf + 1 144.829 * * [simplify]: Extracting #3: cost 160 inf + 4 144.830 * * [simplify]: Extracting #4: cost 156 inf + 413 144.832 * * [simplify]: Extracting #5: cost 149 inf + 1996 144.836 * * [simplify]: Extracting #6: cost 77 inf + 28842 144.852 * * [simplify]: Extracting #7: cost 9 inf + 57255 144.881 * * [simplify]: Extracting #8: cost 0 inf + 61100 144.899 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (* (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 144.899 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (* (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 144.899 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 144.899 * * [simplify]: iters left: 6 (16 enodes) 144.904 * * [simplify]: iters left: 5 (63 enodes) 144.921 * * [simplify]: iters left: 4 (123 enodes) 144.954 * * [simplify]: iters left: 3 (281 enodes) 145.093 * * [simplify]: Extracting #0: cost 1 inf + 0 145.094 * * [simplify]: Extracting #1: cost 0 inf + 1 145.094 * [simplify]: Simplified to 0 145.094 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 145.094 * * * * [progress]: [ 148 / 2246 ] simplifiying candidate # 145.094 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 145.095 * * [simplify]: iters left: 6 (17 enodes) 145.103 * * [simplify]: iters left: 5 (66 enodes) 145.129 * * [simplify]: iters left: 4 (117 enodes) 145.159 * * [simplify]: iters left: 3 (223 enodes) 145.255 * * [simplify]: iters left: 2 (427 enodes) 145.488 * * [simplify]: Extracting #0: cost 1 inf + 0 145.488 * * [simplify]: Extracting #1: cost 34 inf + 0 145.489 * * [simplify]: Extracting #2: cost 98 inf + 3 145.490 * * [simplify]: Extracting #3: cost 125 inf + 4 145.491 * * [simplify]: Extracting #4: cost 122 inf + 315 145.492 * * [simplify]: Extracting #5: cost 109 inf + 1926 145.495 * * [simplify]: Extracting #6: cost 95 inf + 5302 145.506 * * [simplify]: Extracting #7: cost 18 inf + 29845 145.517 * * [simplify]: Extracting #8: cost 0 inf + 36135 145.528 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 145.528 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 145.529 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 145.529 * * [simplify]: iters left: 6 (15 enodes) 145.533 * * [simplify]: iters left: 5 (58 enodes) 145.554 * * [simplify]: iters left: 4 (101 enodes) 145.593 * * [simplify]: iters left: 3 (184 enodes) 145.664 * * [simplify]: iters left: 2 (365 enodes) 145.820 * * [simplify]: Extracting #0: cost 1 inf + 0 145.820 * * [simplify]: Extracting #1: cost 0 inf + 1 145.820 * [simplify]: Simplified to 0 145.820 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 145.820 * * * * [progress]: [ 149 / 2246 ] simplifiying candidate # 145.821 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 145.821 * * [simplify]: iters left: 6 (16 enodes) 145.829 * * [simplify]: iters left: 5 (60 enodes) 145.848 * * [simplify]: iters left: 4 (82 enodes) 145.862 * * [simplify]: iters left: 3 (123 enodes) 145.886 * * [simplify]: iters left: 2 (177 enodes) 145.948 * * [simplify]: iters left: 1 (295 enodes) 146.062 * * [simplify]: Extracting #0: cost 1 inf + 0 146.062 * * [simplify]: Extracting #1: cost 14 inf + 0 146.062 * * [simplify]: Extracting #2: cost 112 inf + 2 146.063 * * [simplify]: Extracting #3: cost 147 inf + 4 146.063 * * [simplify]: Extracting #4: cost 147 inf + 218 146.064 * * [simplify]: Extracting #5: cost 128 inf + 3455 146.077 * * [simplify]: Extracting #6: cost 28 inf + 33986 146.089 * * [simplify]: Extracting #7: cost 0 inf + 43194 146.099 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 146.099 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))))) 146.099 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1))) 146.100 * * [simplify]: iters left: 6 (14 enodes) 146.103 * * [simplify]: iters left: 5 (51 enodes) 146.114 * * [simplify]: iters left: 4 (77 enodes) 146.139 * * [simplify]: iters left: 3 (112 enodes) 146.178 * * [simplify]: iters left: 2 (165 enodes) 146.232 * * [simplify]: iters left: 1 (238 enodes) 146.304 * * [simplify]: Extracting #0: cost 1 inf + 0 146.304 * * [simplify]: Extracting #1: cost 0 inf + 1 146.304 * [simplify]: Simplified to 0 146.304 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 0))) 146.305 * * * * [progress]: [ 150 / 2246 ] simplifiying candidate # 146.305 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 146.305 * * [simplify]: iters left: 6 (18 enodes) 146.312 * * [simplify]: iters left: 5 (71 enodes) 146.329 * * [simplify]: iters left: 4 (90 enodes) 146.353 * * [simplify]: iters left: 3 (136 enodes) 146.378 * * [simplify]: iters left: 2 (221 enodes) 146.461 * * [simplify]: iters left: 1 (425 enodes) 146.714 * * [simplify]: Extracting #0: cost 1 inf + 0 146.715 * * [simplify]: Extracting #1: cost 18 inf + 0 146.715 * * [simplify]: Extracting #2: cost 107 inf + 2 146.716 * * [simplify]: Extracting #3: cost 157 inf + 4 146.716 * * [simplify]: Extracting #4: cost 151 inf + 651 146.717 * * [simplify]: Extracting #5: cost 132 inf + 3251 146.721 * * [simplify]: Extracting #6: cost 88 inf + 14159 146.730 * * [simplify]: Extracting #7: cost 35 inf + 31331 146.754 * * [simplify]: Extracting #8: cost 2 inf + 43219 146.767 * * [simplify]: Extracting #9: cost 0 inf + 43977 146.780 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 146.780 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))))) 146.780 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1)))) 146.780 * * [simplify]: iters left: 6 (15 enodes) 146.785 * * [simplify]: iters left: 5 (58 enodes) 146.804 * * [simplify]: iters left: 4 (94 enodes) 146.827 * * [simplify]: iters left: 3 (132 enodes) 146.854 * * [simplify]: iters left: 2 (179 enodes) 146.911 * * [simplify]: iters left: 1 (300 enodes) 147.010 * * [simplify]: Extracting #0: cost 1 inf + 0 147.010 * * [simplify]: Extracting #1: cost 0 inf + 1 147.010 * [simplify]: Simplified to 0 147.010 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 0))) 147.011 * * * * [progress]: [ 151 / 2246 ] simplifiying candidate # 147.011 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 147.011 * * [simplify]: iters left: 6 (18 enodes) 147.018 * * [simplify]: iters left: 5 (71 enodes) 147.033 * * [simplify]: iters left: 4 (90 enodes) 147.060 * * [simplify]: iters left: 3 (136 enodes) 147.091 * * [simplify]: iters left: 2 (221 enodes) 147.162 * * [simplify]: iters left: 1 (425 enodes) 147.418 * * [simplify]: Extracting #0: cost 1 inf + 0 147.419 * * [simplify]: Extracting #1: cost 18 inf + 0 147.419 * * [simplify]: Extracting #2: cost 107 inf + 2 147.421 * * [simplify]: Extracting #3: cost 157 inf + 4 147.422 * * [simplify]: Extracting #4: cost 151 inf + 651 147.425 * * [simplify]: Extracting #5: cost 132 inf + 3251 147.432 * * [simplify]: Extracting #6: cost 88 inf + 14159 147.447 * * [simplify]: Extracting #7: cost 35 inf + 31331 147.471 * * [simplify]: Extracting #8: cost 2 inf + 43219 147.499 * * [simplify]: Extracting #9: cost 0 inf + 43977 147.524 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 147.524 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))))) 147.525 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1)))) 147.525 * * [simplify]: iters left: 6 (15 enodes) 147.534 * * [simplify]: iters left: 5 (58 enodes) 147.556 * * [simplify]: iters left: 4 (94 enodes) 147.580 * * [simplify]: iters left: 3 (132 enodes) 147.604 * * [simplify]: iters left: 2 (179 enodes) 147.666 * * [simplify]: iters left: 1 (300 enodes) 147.791 * * [simplify]: Extracting #0: cost 1 inf + 0 147.791 * * [simplify]: Extracting #1: cost 0 inf + 1 147.791 * [simplify]: Simplified to 0 147.791 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 0))) 147.792 * * * * [progress]: [ 152 / 2246 ] simplifiying candidate # 147.792 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 147.792 * * [simplify]: iters left: 6 (16 enodes) 147.800 * * [simplify]: iters left: 5 (60 enodes) 147.815 * * [simplify]: iters left: 4 (82 enodes) 147.828 * * [simplify]: iters left: 3 (123 enodes) 147.848 * * [simplify]: iters left: 2 (177 enodes) 147.882 * * [simplify]: iters left: 1 (295 enodes) 147.973 * * [simplify]: Extracting #0: cost 1 inf + 0 147.973 * * [simplify]: Extracting #1: cost 14 inf + 0 147.974 * * [simplify]: Extracting #2: cost 112 inf + 2 147.974 * * [simplify]: Extracting #3: cost 147 inf + 4 147.975 * * [simplify]: Extracting #4: cost 147 inf + 218 147.976 * * [simplify]: Extracting #5: cost 128 inf + 3455 147.982 * * [simplify]: Extracting #6: cost 28 inf + 33986 147.992 * * [simplify]: Extracting #7: cost 0 inf + 43194 148.012 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 148.012 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))))) 148.013 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1))) 148.013 * * [simplify]: iters left: 6 (14 enodes) 148.020 * * [simplify]: iters left: 5 (51 enodes) 148.041 * * [simplify]: iters left: 4 (77 enodes) 148.065 * * [simplify]: iters left: 3 (112 enodes) 148.094 * * [simplify]: iters left: 2 (165 enodes) 148.121 * * [simplify]: iters left: 1 (238 enodes) 148.191 * * [simplify]: Extracting #0: cost 1 inf + 0 148.191 * * [simplify]: Extracting #1: cost 0 inf + 1 148.191 * [simplify]: Simplified to 0 148.191 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 0))) 148.191 * * * * [progress]: [ 153 / 2246 ] simplifiying candidate # 148.192 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 148.192 * * [simplify]: iters left: 6 (17 enodes) 148.200 * * [simplify]: iters left: 5 (70 enodes) 148.225 * * [simplify]: iters left: 4 (136 enodes) 148.258 * * [simplify]: iters left: 3 (294 enodes) 148.419 * * [simplify]: Extracting #0: cost 1 inf + 0 148.419 * * [simplify]: Extracting #1: cost 19 inf + 0 148.420 * * [simplify]: Extracting #2: cost 121 inf + 1 148.421 * * [simplify]: Extracting #3: cost 147 inf + 4 148.422 * * [simplify]: Extracting #4: cost 145 inf + 257 148.423 * * [simplify]: Extracting #5: cost 137 inf + 1698 148.435 * * [simplify]: Extracting #6: cost 61 inf + 30573 148.456 * * [simplify]: Extracting #7: cost 0 inf + 56219 148.473 * * [simplify]: Extracting #8: cost 0 inf + 56101 148.489 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 148.489 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 148.489 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 148.490 * * [simplify]: iters left: 6 (15 enodes) 148.494 * * [simplify]: iters left: 5 (62 enodes) 148.514 * * [simplify]: iters left: 4 (118 enodes) 148.568 * * [simplify]: iters left: 3 (252 enodes) 148.679 * * [simplify]: Extracting #0: cost 1 inf + 0 148.679 * * [simplify]: Extracting #1: cost 0 inf + 1 148.679 * [simplify]: Simplified to 0 148.679 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 148.679 * * * * [progress]: [ 154 / 2246 ] simplifiying candidate # 148.680 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 148.680 * * [simplify]: iters left: 6 (16 enodes) 148.688 * * [simplify]: iters left: 5 (65 enodes) 148.712 * * [simplify]: iters left: 4 (114 enodes) 148.745 * * [simplify]: iters left: 3 (224 enodes) 148.813 * * [simplify]: iters left: 2 (429 enodes) 149.053 * * [simplify]: Extracting #0: cost 1 inf + 0 149.053 * * [simplify]: Extracting #1: cost 34 inf + 0 149.053 * * [simplify]: Extracting #2: cost 98 inf + 3 149.054 * * [simplify]: Extracting #3: cost 125 inf + 4 149.054 * * [simplify]: Extracting #4: cost 119 inf + 688 149.055 * * [simplify]: Extracting #5: cost 108 inf + 2144 149.056 * * [simplify]: Extracting #6: cost 93 inf + 6020 149.062 * * [simplify]: Extracting #7: cost 25 inf + 27431 149.073 * * [simplify]: Extracting #8: cost 2 inf + 35377 149.084 * * [simplify]: Extracting #9: cost 0 inf + 36095 149.096 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 149.096 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 149.097 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 149.097 * * [simplify]: iters left: 6 (14 enodes) 149.101 * * [simplify]: iters left: 5 (57 enodes) 149.113 * * [simplify]: iters left: 4 (98 enodes) 149.132 * * [simplify]: iters left: 3 (181 enodes) 149.195 * * [simplify]: iters left: 2 (360 enodes) 149.385 * * [simplify]: Extracting #0: cost 1 inf + 0 149.385 * * [simplify]: Extracting #1: cost 0 inf + 1 149.385 * [simplify]: Simplified to 0 149.385 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 149.385 * * * * [progress]: [ 155 / 2246 ] simplifiying candidate # 149.386 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 149.386 * * [simplify]: iters left: 6 (15 enodes) 149.394 * * [simplify]: iters left: 5 (59 enodes) 149.415 * * [simplify]: iters left: 4 (81 enodes) 149.442 * * [simplify]: iters left: 3 (122 enodes) 149.484 * * [simplify]: iters left: 2 (176 enodes) 149.523 * * [simplify]: iters left: 1 (294 enodes) 149.638 * * [simplify]: Extracting #0: cost 1 inf + 0 149.638 * * [simplify]: Extracting #1: cost 14 inf + 0 149.638 * * [simplify]: Extracting #2: cost 112 inf + 2 149.639 * * [simplify]: Extracting #3: cost 147 inf + 4 149.639 * * [simplify]: Extracting #4: cost 145 inf + 454 149.640 * * [simplify]: Extracting #5: cost 125 inf + 3284 149.648 * * [simplify]: Extracting #6: cost 37 inf + 30585 149.658 * * [simplify]: Extracting #7: cost 0 inf + 43196 149.669 * * [simplify]: Extracting #8: cost 0 inf + 43194 149.688 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 149.689 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))))) 149.689 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1))) 149.689 * * [simplify]: iters left: 6 (13 enodes) 149.696 * * [simplify]: iters left: 5 (50 enodes) 149.705 * * [simplify]: iters left: 4 (76 enodes) 149.718 * * [simplify]: iters left: 3 (111 enodes) 149.737 * * [simplify]: iters left: 2 (147 enodes) 149.784 * * [simplify]: iters left: 1 (234 enodes) 149.868 * * [simplify]: Extracting #0: cost 1 inf + 0 149.868 * * [simplify]: Extracting #1: cost 0 inf + 1 149.868 * [simplify]: Simplified to 0 149.868 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 0))) 149.868 * * * * [progress]: [ 156 / 2246 ] simplifiying candidate # 149.869 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 149.869 * * [simplify]: iters left: 6 (17 enodes) 149.877 * * [simplify]: iters left: 5 (70 enodes) 149.897 * * [simplify]: iters left: 4 (89 enodes) 149.924 * * [simplify]: iters left: 3 (135 enodes) 149.961 * * [simplify]: iters left: 2 (220 enodes) 150.018 * * [simplify]: iters left: 1 (427 enodes) 150.288 * * [simplify]: Extracting #0: cost 1 inf + 0 150.289 * * [simplify]: Extracting #1: cost 18 inf + 0 150.289 * * [simplify]: Extracting #2: cost 115 inf + 2 150.290 * * [simplify]: Extracting #3: cost 176 inf + 4 150.290 * * [simplify]: Extracting #4: cost 169 inf + 791 150.292 * * [simplify]: Extracting #5: cost 143 inf + 5560 150.299 * * [simplify]: Extracting #6: cost 78 inf + 22822 150.310 * * [simplify]: Extracting #7: cost 21 inf + 42238 150.324 * * [simplify]: Extracting #8: cost 0 inf + 50142 150.350 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 150.350 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))))) 150.351 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1)))) 150.351 * * [simplify]: iters left: 6 (14 enodes) 150.358 * * [simplify]: iters left: 5 (57 enodes) 150.370 * * [simplify]: iters left: 4 (93 enodes) 150.386 * * [simplify]: iters left: 3 (131 enodes) 150.420 * * [simplify]: iters left: 2 (178 enodes) 150.494 * * [simplify]: iters left: 1 (299 enodes) 150.619 * * [simplify]: Extracting #0: cost 1 inf + 0 150.619 * * [simplify]: Extracting #1: cost 0 inf + 1 150.619 * [simplify]: Simplified to 0 150.619 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 0))) 150.619 * * * * [progress]: [ 157 / 2246 ] simplifiying candidate # 150.620 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 150.620 * * [simplify]: iters left: 6 (17 enodes) 150.633 * * [simplify]: iters left: 5 (70 enodes) 150.647 * * [simplify]: iters left: 4 (89 enodes) 150.667 * * [simplify]: iters left: 3 (135 enodes) 150.714 * * [simplify]: iters left: 2 (220 enodes) 150.821 * * [simplify]: iters left: 1 (427 enodes) 151.118 * * [simplify]: Extracting #0: cost 1 inf + 0 151.118 * * [simplify]: Extracting #1: cost 18 inf + 0 151.118 * * [simplify]: Extracting #2: cost 115 inf + 2 151.119 * * [simplify]: Extracting #3: cost 176 inf + 4 151.120 * * [simplify]: Extracting #4: cost 169 inf + 791 151.121 * * [simplify]: Extracting #5: cost 143 inf + 5560 151.128 * * [simplify]: Extracting #6: cost 78 inf + 22822 151.141 * * [simplify]: Extracting #7: cost 21 inf + 42238 151.168 * * [simplify]: Extracting #8: cost 0 inf + 50142 151.196 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 151.196 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))))) 151.197 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1)))) 151.197 * * [simplify]: iters left: 6 (14 enodes) 151.206 * * [simplify]: iters left: 5 (57 enodes) 151.228 * * [simplify]: iters left: 4 (93 enodes) 151.258 * * [simplify]: iters left: 3 (131 enodes) 151.279 * * [simplify]: iters left: 2 (178 enodes) 151.338 * * [simplify]: iters left: 1 (299 enodes) 151.456 * * [simplify]: Extracting #0: cost 1 inf + 0 151.456 * * [simplify]: Extracting #1: cost 0 inf + 1 151.456 * [simplify]: Simplified to 0 151.456 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 0))) 151.457 * * * * [progress]: [ 158 / 2246 ] simplifiying candidate # 151.457 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 151.457 * * [simplify]: iters left: 6 (15 enodes) 151.465 * * [simplify]: iters left: 5 (59 enodes) 151.486 * * [simplify]: iters left: 4 (81 enodes) 151.512 * * [simplify]: iters left: 3 (122 enodes) 151.556 * * [simplify]: iters left: 2 (176 enodes) 151.618 * * [simplify]: iters left: 1 (294 enodes) 151.752 * * [simplify]: Extracting #0: cost 1 inf + 0 151.752 * * [simplify]: Extracting #1: cost 14 inf + 0 151.753 * * [simplify]: Extracting #2: cost 112 inf + 2 151.754 * * [simplify]: Extracting #3: cost 147 inf + 4 151.755 * * [simplify]: Extracting #4: cost 145 inf + 454 151.757 * * [simplify]: Extracting #5: cost 125 inf + 3284 151.772 * * [simplify]: Extracting #6: cost 37 inf + 30585 151.792 * * [simplify]: Extracting #7: cost 0 inf + 43196 151.811 * * [simplify]: Extracting #8: cost 0 inf + 43194 151.831 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 151.831 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))))) 151.832 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1))) 151.832 * * [simplify]: iters left: 6 (13 enodes) 151.839 * * [simplify]: iters left: 5 (50 enodes) 151.857 * * [simplify]: iters left: 4 (76 enodes) 151.882 * * [simplify]: iters left: 3 (111 enodes) 151.918 * * [simplify]: iters left: 2 (147 enodes) 151.968 * * [simplify]: iters left: 1 (234 enodes) 152.020 * * [simplify]: Extracting #0: cost 1 inf + 0 152.020 * * [simplify]: Extracting #1: cost 0 inf + 1 152.020 * [simplify]: Simplified to 0 152.020 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 0))) 152.020 * * * * [progress]: [ 159 / 2246 ] simplifiying candidate # 152.020 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 152.021 * * [simplify]: iters left: 6 (18 enodes) 152.026 * * [simplify]: iters left: 5 (73 enodes) 152.045 * * [simplify]: iters left: 4 (143 enodes) 152.077 * * [simplify]: iters left: 3 (282 enodes) 152.203 * * [simplify]: Extracting #0: cost 1 inf + 0 152.203 * * [simplify]: Extracting #1: cost 18 inf + 0 152.203 * * [simplify]: Extracting #2: cost 117 inf + 0 152.204 * * [simplify]: Extracting #3: cost 154 inf + 4 152.204 * * [simplify]: Extracting #4: cost 147 inf + 706 152.205 * * [simplify]: Extracting #5: cost 134 inf + 3212 152.212 * * [simplify]: Extracting #6: cost 64 inf + 30336 152.241 * * [simplify]: Extracting #7: cost 2 inf + 55352 152.273 * * [simplify]: Extracting #8: cost 0 inf + 56263 152.305 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 152.305 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) (fma (- (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 152.306 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 152.306 * * [simplify]: iters left: 6 (16 enodes) 152.313 * * [simplify]: iters left: 5 (65 enodes) 152.326 * * [simplify]: iters left: 4 (125 enodes) 152.353 * * [simplify]: iters left: 3 (242 enodes) 152.460 * * [simplify]: Extracting #0: cost 1 inf + 0 152.460 * * [simplify]: Extracting #1: cost 0 inf + 1 152.460 * [simplify]: Simplified to 0 152.460 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 152.461 * * * * [progress]: [ 160 / 2246 ] simplifiying candidate # 152.461 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 152.461 * * [simplify]: iters left: 6 (17 enodes) 152.469 * * [simplify]: iters left: 5 (68 enodes) 152.490 * * [simplify]: iters left: 4 (119 enodes) 152.511 * * [simplify]: iters left: 3 (197 enodes) 152.575 * * [simplify]: iters left: 2 (436 enodes) 152.888 * * [simplify]: Extracting #0: cost 1 inf + 0 152.888 * * [simplify]: Extracting #1: cost 14 inf + 0 152.889 * * [simplify]: Extracting #2: cost 87 inf + 0 152.890 * * [simplify]: Extracting #3: cost 110 inf + 4 152.891 * * [simplify]: Extracting #4: cost 106 inf + 592 152.892 * * [simplify]: Extracting #5: cost 93 inf + 2299 152.897 * * [simplify]: Extracting #6: cost 86 inf + 3723 152.906 * * [simplify]: Extracting #7: cost 30 inf + 20595 152.925 * * [simplify]: Extracting #8: cost 0 inf + 30752 152.945 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 152.945 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 152.946 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 152.946 * * [simplify]: iters left: 6 (15 enodes) 152.954 * * [simplify]: iters left: 5 (60 enodes) 152.973 * * [simplify]: iters left: 4 (103 enodes) 152.992 * * [simplify]: iters left: 3 (167 enodes) 153.063 * * [simplify]: iters left: 2 (361 enodes) 153.270 * * [simplify]: Extracting #0: cost 1 inf + 0 153.270 * * [simplify]: Extracting #1: cost 0 inf + 1 153.270 * [simplify]: Simplified to 0 153.270 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 153.271 * * * * [progress]: [ 161 / 2246 ] simplifiying candidate # 153.271 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 153.271 * * [simplify]: iters left: 6 (16 enodes) 153.276 * * [simplify]: iters left: 5 (62 enodes) 153.292 * * [simplify]: iters left: 4 (99 enodes) 153.308 * * [simplify]: iters left: 3 (148 enodes) 153.331 * * [simplify]: iters left: 2 (210 enodes) 153.367 * * [simplify]: iters left: 1 (312 enodes) 153.453 * * [simplify]: Extracting #0: cost 1 inf + 0 153.453 * * [simplify]: Extracting #1: cost 18 inf + 0 153.453 * * [simplify]: Extracting #2: cost 77 inf + 2 153.454 * * [simplify]: Extracting #3: cost 92 inf + 6 153.455 * * [simplify]: Extracting #4: cost 89 inf + 513 153.456 * * [simplify]: Extracting #5: cost 73 inf + 3076 153.462 * * [simplify]: Extracting #6: cost 31 inf + 14310 153.473 * * [simplify]: Extracting #7: cost 1 inf + 24148 153.486 * * [simplify]: Extracting #8: cost 0 inf + 24526 153.499 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 153.500 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))))) 153.500 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1))) 153.500 * * [simplify]: iters left: 6 (14 enodes) 153.508 * * [simplify]: iters left: 5 (53 enodes) 153.523 * * [simplify]: iters left: 4 (92 enodes) 153.537 * * [simplify]: iters left: 3 (137 enodes) 153.569 * * [simplify]: iters left: 2 (188 enodes) 153.620 * * [simplify]: iters left: 1 (283 enodes) 153.680 * * [simplify]: Extracting #0: cost 1 inf + 0 153.680 * * [simplify]: Extracting #1: cost 0 inf + 1 153.680 * [simplify]: Simplified to 0 153.681 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 0))) 153.681 * * * * [progress]: [ 162 / 2246 ] simplifiying candidate # 153.681 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 153.681 * * [simplify]: iters left: 6 (18 enodes) 153.688 * * [simplify]: iters left: 5 (73 enodes) 153.700 * * [simplify]: iters left: 4 (100 enodes) 153.717 * * [simplify]: iters left: 3 (162 enodes) 153.753 * * [simplify]: iters left: 2 (263 enodes) 153.837 * * [simplify]: iters left: 1 (447 enodes) 154.074 * * [simplify]: Extracting #0: cost 1 inf + 0 154.075 * * [simplify]: Extracting #1: cost 22 inf + 0 154.075 * * [simplify]: Extracting #2: cost 85 inf + 2 154.076 * * [simplify]: Extracting #3: cost 125 inf + 6 154.078 * * [simplify]: Extracting #4: cost 116 inf + 1239 154.080 * * [simplify]: Extracting #5: cost 96 inf + 4315 154.087 * * [simplify]: Extracting #6: cost 55 inf + 14831 154.105 * * [simplify]: Extracting #7: cost 2 inf + 31318 154.127 * * [simplify]: Extracting #8: cost 0 inf + 32009 154.143 * [simplify]: Simplified to (* (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1/2 (/ 1/2 (hypot 1 x)))) 154.143 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1/2 (/ 1/2 (hypot 1 x)))) (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))))) 154.143 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1)))) 154.144 * * [simplify]: iters left: 6 (15 enodes) 154.150 * * [simplify]: iters left: 5 (60 enodes) 154.160 * * [simplify]: iters left: 4 (93 enodes) 154.181 * * [simplify]: iters left: 3 (149 enodes) 154.227 * * [simplify]: iters left: 2 (229 enodes) 154.292 * * [simplify]: iters left: 1 (341 enodes) 154.417 * * [simplify]: Extracting #0: cost 1 inf + 0 154.417 * * [simplify]: Extracting #1: cost 0 inf + 1 154.417 * [simplify]: Simplified to 0 154.417 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 0))) 154.417 * * * * [progress]: [ 163 / 2246 ] simplifiying candidate # 154.418 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 154.418 * * [simplify]: iters left: 6 (18 enodes) 154.431 * * [simplify]: iters left: 5 (73 enodes) 154.443 * * [simplify]: iters left: 4 (100 enodes) 154.459 * * [simplify]: iters left: 3 (162 enodes) 154.495 * * [simplify]: iters left: 2 (263 enodes) 154.602 * * [simplify]: iters left: 1 (447 enodes) 154.818 * * [simplify]: Extracting #0: cost 1 inf + 0 154.818 * * [simplify]: Extracting #1: cost 22 inf + 0 154.818 * * [simplify]: Extracting #2: cost 85 inf + 2 154.819 * * [simplify]: Extracting #3: cost 125 inf + 6 154.821 * * [simplify]: Extracting #4: cost 116 inf + 1239 154.823 * * [simplify]: Extracting #5: cost 96 inf + 4315 154.829 * * [simplify]: Extracting #6: cost 55 inf + 14831 154.844 * * [simplify]: Extracting #7: cost 2 inf + 31318 154.861 * * [simplify]: Extracting #8: cost 0 inf + 32009 154.877 * [simplify]: Simplified to (* (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1/2 (/ 1/2 (hypot 1 x)))) 154.878 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1/2 (/ 1/2 (hypot 1 x)))) (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))))) 154.878 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1)))) 154.878 * * [simplify]: iters left: 6 (15 enodes) 154.885 * * [simplify]: iters left: 5 (60 enodes) 154.896 * * [simplify]: iters left: 4 (93 enodes) 154.924 * * [simplify]: iters left: 3 (149 enodes) 154.951 * * [simplify]: iters left: 2 (229 enodes) 155.010 * * [simplify]: iters left: 1 (341 enodes) 155.117 * * [simplify]: Extracting #0: cost 1 inf + 0 155.117 * * [simplify]: Extracting #1: cost 0 inf + 1 155.118 * [simplify]: Simplified to 0 155.118 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 0))) 155.118 * * * * [progress]: [ 164 / 2246 ] simplifiying candidate # 155.118 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 155.118 * * [simplify]: iters left: 6 (16 enodes) 155.122 * * [simplify]: iters left: 5 (62 enodes) 155.134 * * [simplify]: iters left: 4 (99 enodes) 155.160 * * [simplify]: iters left: 3 (148 enodes) 155.183 * * [simplify]: iters left: 2 (210 enodes) 155.237 * * [simplify]: iters left: 1 (312 enodes) 155.314 * * [simplify]: Extracting #0: cost 1 inf + 0 155.314 * * [simplify]: Extracting #1: cost 18 inf + 0 155.314 * * [simplify]: Extracting #2: cost 77 inf + 2 155.314 * * [simplify]: Extracting #3: cost 92 inf + 6 155.315 * * [simplify]: Extracting #4: cost 89 inf + 513 155.315 * * [simplify]: Extracting #5: cost 73 inf + 3076 155.320 * * [simplify]: Extracting #6: cost 31 inf + 14310 155.328 * * [simplify]: Extracting #7: cost 1 inf + 24148 155.341 * * [simplify]: Extracting #8: cost 0 inf + 24526 155.353 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 155.353 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))))) 155.354 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1))) 155.354 * * [simplify]: iters left: 6 (14 enodes) 155.361 * * [simplify]: iters left: 5 (53 enodes) 155.370 * * [simplify]: iters left: 4 (92 enodes) 155.384 * * [simplify]: iters left: 3 (137 enodes) 155.405 * * [simplify]: iters left: 2 (188 enodes) 155.456 * * [simplify]: iters left: 1 (283 enodes) 155.525 * * [simplify]: Extracting #0: cost 1 inf + 0 155.525 * * [simplify]: Extracting #1: cost 0 inf + 1 155.525 * [simplify]: Simplified to 0 155.525 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 0))) 155.525 * * * * [progress]: [ 165 / 2246 ] simplifiying candidate # 155.526 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))) 155.526 * * [simplify]: iters left: 6 (14 enodes) 155.534 * * [simplify]: iters left: 5 (56 enodes) 155.555 * * [simplify]: iters left: 4 (83 enodes) 155.578 * * [simplify]: iters left: 3 (124 enodes) 155.598 * * [simplify]: iters left: 2 (179 enodes) 155.648 * * [simplify]: iters left: 1 (312 enodes) 155.781 * * [simplify]: Extracting #0: cost 1 inf + 0 155.781 * * [simplify]: Extracting #1: cost 14 inf + 0 155.782 * * [simplify]: Extracting #2: cost 99 inf + 2 155.782 * * [simplify]: Extracting #3: cost 133 inf + 4 155.783 * * [simplify]: Extracting #4: cost 133 inf + 218 155.784 * * [simplify]: Extracting #5: cost 114 inf + 2991 155.789 * * [simplify]: Extracting #6: cost 36 inf + 25951 155.800 * * [simplify]: Extracting #7: cost 0 inf + 38062 155.809 * * [simplify]: Extracting #8: cost 0 inf + 38061 155.818 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 155.819 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1 (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))))) 155.819 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1 (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1)) 155.819 * * [simplify]: iters left: 6 (12 enodes) 155.823 * * [simplify]: iters left: 5 (47 enodes) 155.833 * * [simplify]: iters left: 4 (79 enodes) 155.856 * * [simplify]: iters left: 3 (107 enodes) 155.879 * * [simplify]: iters left: 2 (167 enodes) 155.926 * * [simplify]: iters left: 1 (239 enodes) 155.979 * * [simplify]: Extracting #0: cost 1 inf + 0 155.979 * * [simplify]: Extracting #1: cost 0 inf + 1 155.979 * [simplify]: Simplified to 0 155.979 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))) 0))) 155.979 * * * * [progress]: [ 166 / 2246 ] simplifiying candidate # 155.979 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))) 155.979 * * [simplify]: iters left: 6 (14 enodes) 155.983 * * [simplify]: iters left: 5 (57 enodes) 155.997 * * [simplify]: iters left: 4 (93 enodes) 156.029 * * [simplify]: iters left: 3 (161 enodes) 156.098 * * [simplify]: iters left: 2 (279 enodes) 156.175 * * [simplify]: iters left: 1 (445 enodes) 156.445 * * [simplify]: Extracting #0: cost 1 inf + 0 156.446 * * [simplify]: Extracting #1: cost 25 inf + 0 156.446 * * [simplify]: Extracting #2: cost 77 inf + 4 156.446 * * [simplify]: Extracting #3: cost 114 inf + 4 156.447 * * [simplify]: Extracting #4: cost 117 inf + 7 156.448 * * [simplify]: Extracting #5: cost 109 inf + 830 156.449 * * [simplify]: Extracting #6: cost 87 inf + 4183 156.455 * * [simplify]: Extracting #7: cost 15 inf + 25274 156.472 * * [simplify]: Extracting #8: cost 0 inf + 30022 156.492 * * [simplify]: Extracting #9: cost 0 inf + 29997 156.502 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 156.502 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fma (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (hypot 1 x)) (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))))) 156.503 * [simplify]: Simplifying (fma (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (hypot 1 x)) (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x)))) 156.503 * * [simplify]: iters left: 6 (12 enodes) 156.506 * * [simplify]: iters left: 5 (50 enodes) 156.521 * * [simplify]: iters left: 4 (76 enodes) 156.542 * * [simplify]: iters left: 3 (143 enodes) 156.577 * * [simplify]: iters left: 2 (233 enodes) 156.652 * * [simplify]: iters left: 1 (369 enodes) 156.777 * * [simplify]: Extracting #0: cost 1 inf + 0 156.777 * * [simplify]: Extracting #1: cost 0 inf + 1 156.777 * [simplify]: Simplified to 0 156.777 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))) 0))) 156.778 * * * * [progress]: [ 167 / 2246 ] simplifiying candidate # 156.778 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 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))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))) 156.779 * * [simplify]: iters left: 6 (23 enodes) 156.792 * * [simplify]: iters left: 5 (97 enodes) 156.821 * * [simplify]: iters left: 4 (236 enodes) 156.900 * * [simplify]: Extracting #0: cost 1 inf + 0 156.900 * * [simplify]: Extracting #1: cost 6 inf + 0 156.900 * * [simplify]: Extracting #2: cost 65 inf + 0 156.900 * * [simplify]: Extracting #3: cost 161 inf + 2 156.901 * * [simplify]: Extracting #4: cost 172 inf + 511 156.903 * * [simplify]: Extracting #5: cost 134 inf + 9265 156.910 * * [simplify]: Extracting #6: cost 42 inf + 37107 156.922 * * [simplify]: Extracting #7: cost 0 inf + 50799 156.943 * * [simplify]: Extracting #8: cost 0 inf + 50767 156.965 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 156.965 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (fma (- (+ (* 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 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (* (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))))) 156.965 * [simplify]: Simplifying (fma (- (+ (* 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 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (* (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))))) 156.966 * * [simplify]: iters left: 6 (20 enodes) 156.978 * * [simplify]: iters left: 5 (87 enodes) 157.002 * * [simplify]: iters left: 4 (224 enodes) 157.112 * * [simplify]: Extracting #0: cost 1 inf + 0 157.112 * * [simplify]: Extracting #1: cost 14 inf + 0 157.113 * * [simplify]: Extracting #2: cost 116 inf + 0 157.113 * * [simplify]: Extracting #3: cost 173 inf + 989 157.117 * * [simplify]: Extracting #4: cost 109 inf + 16215 157.135 * * [simplify]: Extracting #5: cost 31 inf + 40092 157.158 * * [simplify]: Extracting #6: cost 1 inf + 50253 157.179 * * [simplify]: Extracting #7: cost 0 inf + 50642 157.191 * [simplify]: Simplified to (- (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 157.191 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 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))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))) (- (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))))) 157.192 * * * * [progress]: [ 168 / 2246 ] simplifiying candidate # 157.192 * [simplify]: Simplifying (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 157.192 * * [simplify]: iters left: 6 (18 enodes) 157.197 * * [simplify]: iters left: 5 (70 enodes) 157.213 * * [simplify]: iters left: 4 (127 enodes) 157.261 * * [simplify]: iters left: 3 (268 enodes) 157.362 * * [simplify]: Extracting #0: cost 1 inf + 0 157.362 * * [simplify]: Extracting #1: cost 20 inf + 0 157.362 * * [simplify]: Extracting #2: cost 107 inf + 0 157.363 * * [simplify]: Extracting #3: cost 150 inf + 4 157.365 * * [simplify]: Extracting #4: cost 161 inf + 1062 157.368 * * [simplify]: Extracting #5: cost 110 inf + 9286 157.380 * * [simplify]: Extracting #6: cost 26 inf + 31615 157.392 * * [simplify]: Extracting #7: cost 0 inf + 39731 157.402 * [simplify]: Simplified to (fma (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1) (/ (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 157.402 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1) (/ (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 157.402 * [simplify]: Simplifying (fma (- (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 157.402 * * [simplify]: iters left: 6 (15 enodes) 157.406 * * [simplify]: iters left: 5 (56 enodes) 157.420 * * [simplify]: iters left: 4 (109 enodes) 157.468 * * [simplify]: iters left: 3 (271 enodes) 157.600 * * [simplify]: Extracting #0: cost 1 inf + 0 157.600 * * [simplify]: Extracting #1: cost 0 inf + 1 157.600 * [simplify]: Simplified to 0 157.600 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 157.600 * * * * [progress]: [ 169 / 2246 ] simplifiying candidate # 157.601 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 157.601 * * [simplify]: iters left: 6 (20 enodes) 157.606 * * [simplify]: iters left: 5 (80 enodes) 157.620 * * [simplify]: iters left: 4 (127 enodes) 157.655 * * [simplify]: iters left: 3 (204 enodes) 157.705 * * [simplify]: iters left: 2 (317 enodes) 157.786 * * [simplify]: iters left: 1 (430 enodes) 157.902 * * [simplify]: Extracting #0: cost 1 inf + 0 157.902 * * [simplify]: Extracting #1: cost 24 inf + 0 157.903 * * [simplify]: Extracting #2: cost 159 inf + 0 157.903 * * [simplify]: Extracting #3: cost 205 inf + 411 157.904 * * [simplify]: Extracting #4: cost 198 inf + 1346 157.905 * * [simplify]: Extracting #5: cost 192 inf + 2174 157.909 * * [simplify]: Extracting #6: cost 139 inf + 22759 157.919 * * [simplify]: Extracting #7: cost 74 inf + 53745 157.944 * * [simplify]: Extracting #8: cost 19 inf + 92713 157.967 * * [simplify]: Extracting #9: cost 0 inf + 110188 158.005 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 158.005 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 158.006 * [simplify]: Simplifying (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 158.006 * * [simplify]: iters left: 6 (14 enodes) 158.013 * * [simplify]: iters left: 5 (53 enodes) 158.022 * * [simplify]: iters left: 4 (76 enodes) 158.036 * * [simplify]: iters left: 3 (134 enodes) 158.064 * * [simplify]: iters left: 2 (194 enodes) 158.107 * * [simplify]: iters left: 1 (293 enodes) 158.172 * * [simplify]: Extracting #0: cost 1 inf + 0 158.172 * * [simplify]: Extracting #1: cost 0 inf + 1 158.172 * [simplify]: Simplified to 0 158.173 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 158.173 * * * * [progress]: [ 170 / 2246 ] simplifiying candidate # 158.173 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 158.173 * * [simplify]: iters left: 6 (19 enodes) 158.178 * * [simplify]: iters left: 5 (71 enodes) 158.190 * * [simplify]: iters left: 4 (111 enodes) 158.221 * * [simplify]: iters left: 3 (169 enodes) 158.276 * * [simplify]: iters left: 2 (247 enodes) 158.344 * * [simplify]: iters left: 1 (311 enodes) 158.430 * * [simplify]: Extracting #0: cost 1 inf + 0 158.430 * * [simplify]: Extracting #1: cost 16 inf + 0 158.430 * * [simplify]: Extracting #2: cost 90 inf + 0 158.431 * * [simplify]: Extracting #3: cost 128 inf + 208 158.432 * * [simplify]: Extracting #4: cost 124 inf + 849 158.433 * * [simplify]: Extracting #5: cost 116 inf + 1816 158.435 * * [simplify]: Extracting #6: cost 114 inf + 2132 158.437 * * [simplify]: Extracting #7: cost 101 inf + 5693 158.450 * * [simplify]: Extracting #8: cost 27 inf + 38754 158.471 * * [simplify]: Extracting #9: cost 0 inf + 52483 158.492 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 158.492 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 158.493 * [simplify]: Simplifying (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 158.493 * * [simplify]: iters left: 6 (13 enodes) 158.500 * * [simplify]: iters left: 5 (45 enodes) 158.519 * * [simplify]: iters left: 4 (60 enodes) 158.537 * * [simplify]: iters left: 3 (85 enodes) 158.562 * * [simplify]: iters left: 2 (102 enodes) 158.589 * * [simplify]: iters left: 1 (126 enodes) 158.622 * * [simplify]: Extracting #0: cost 1 inf + 0 158.622 * * [simplify]: Extracting #1: cost 0 inf + 1 158.622 * [simplify]: Simplified to 0 158.622 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 158.622 * * * * [progress]: [ 171 / 2246 ] simplifiying candidate # 158.623 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))) 158.623 * * [simplify]: iters left: 6 (21 enodes) 158.634 * * [simplify]: iters left: 5 (88 enodes) 158.668 * * [simplify]: iters left: 4 (187 enodes) 158.719 * * [simplify]: iters left: 3 (379 enodes) 158.834 * * [simplify]: Extracting #0: cost 1 inf + 0 158.834 * * [simplify]: Extracting #1: cost 11 inf + 0 158.834 * * [simplify]: Extracting #2: cost 87 inf + 0 158.835 * * [simplify]: Extracting #3: cost 146 inf + 1 158.835 * * [simplify]: Extracting #4: cost 144 inf + 448 158.836 * * [simplify]: Extracting #5: cost 139 inf + 1081 158.836 * * [simplify]: Extracting #6: cost 133 inf + 1788 158.840 * * [simplify]: Extracting #7: cost 111 inf + 8395 158.848 * * [simplify]: Extracting #8: cost 41 inf + 39539 158.863 * * [simplify]: Extracting #9: cost 0 inf + 59899 158.879 * * [simplify]: Extracting #10: cost 0 inf + 59819 158.902 * [simplify]: Simplified to (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 158.902 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))))) 158.903 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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)))))))) 158.903 * * [simplify]: iters left: 6 (17 enodes) 158.912 * * [simplify]: iters left: 5 (69 enodes) 158.936 * * [simplify]: iters left: 4 (135 enodes) 158.979 * * [simplify]: iters left: 3 (301 enodes) 159.098 * * [simplify]: Extracting #0: cost 1 inf + 0 159.098 * * [simplify]: Extracting #1: cost 0 inf + 1 159.098 * [simplify]: Simplified to 0 159.099 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))) 0))) 159.099 * * * * [progress]: [ 172 / 2246 ] simplifiying candidate # 159.100 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 159.100 * * [simplify]: iters left: 6 (22 enodes) 159.111 * * [simplify]: iters left: 5 (88 enodes) 159.141 * * [simplify]: iters left: 4 (156 enodes) 159.177 * * [simplify]: iters left: 3 (262 enodes) 159.235 * * [simplify]: iters left: 2 (394 enodes) 159.352 * * [simplify]: iters left: 1 (496 enodes) 159.495 * * [simplify]: Extracting #0: cost 1 inf + 0 159.495 * * [simplify]: Extracting #1: cost 13 inf + 0 159.496 * * [simplify]: Extracting #2: cost 107 inf + 0 159.496 * * [simplify]: Extracting #3: cost 174 inf + 204 159.497 * * [simplify]: Extracting #4: cost 176 inf + 410 159.498 * * [simplify]: Extracting #5: cost 170 inf + 820 159.499 * * [simplify]: Extracting #6: cost 159 inf + 2858 159.503 * * [simplify]: Extracting #7: cost 95 inf + 27823 159.528 * * [simplify]: Extracting #8: cost 13 inf + 66615 159.563 * * [simplify]: Extracting #9: cost 0 inf + 76019 159.595 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 159.595 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 159.596 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 159.596 * * [simplify]: iters left: 6 (16 enodes) 159.604 * * [simplify]: iters left: 5 (63 enodes) 159.617 * * [simplify]: iters left: 4 (100 enodes) 159.635 * * [simplify]: iters left: 3 (175 enodes) 159.685 * * [simplify]: iters left: 2 (267 enodes) 159.766 * * [simplify]: iters left: 1 (373 enodes) 159.878 * * [simplify]: Extracting #0: cost 1 inf + 0 159.878 * * [simplify]: Extracting #1: cost 0 inf + 1 159.878 * [simplify]: Simplified to 0 159.879 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 159.879 * * * * [progress]: [ 173 / 2246 ] simplifiying candidate # 159.879 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 159.880 * * [simplify]: iters left: 6 (21 enodes) 159.890 * * [simplify]: iters left: 5 (83 enodes) 159.919 * * [simplify]: iters left: 4 (157 enodes) 159.961 * * [simplify]: iters left: 3 (289 enodes) 160.058 * * [simplify]: Extracting #0: cost 1 inf + 0 160.058 * * [simplify]: Extracting #1: cost 13 inf + 0 160.058 * * [simplify]: Extracting #2: cost 85 inf + 0 160.059 * * [simplify]: Extracting #3: cost 125 inf + 84 160.060 * * [simplify]: Extracting #4: cost 123 inf + 862 160.061 * * [simplify]: Extracting #5: cost 118 inf + 1277 160.063 * * [simplify]: Extracting #6: cost 110 inf + 2380 160.070 * * [simplify]: Extracting #7: cost 55 inf + 23739 160.091 * * [simplify]: Extracting #8: cost 3 inf + 45017 160.102 * * [simplify]: Extracting #9: cost 0 inf + 45830 160.112 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 160.112 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))))) 160.113 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1))) 160.113 * * [simplify]: iters left: 6 (15 enodes) 160.117 * * [simplify]: iters left: 5 (58 enodes) 160.133 * * [simplify]: iters left: 4 (100 enodes) 160.164 * * [simplify]: iters left: 3 (192 enodes) 160.645 * * [simplify]: iters left: 2 (333 enodes) 160.776 * * [simplify]: Extracting #0: cost 1 inf + 0 160.776 * * [simplify]: Extracting #1: cost 0 inf + 1 160.776 * [simplify]: Simplified to 0 160.776 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 0))) 160.776 * * * * [progress]: [ 174 / 2246 ] simplifiying candidate # 160.776 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 160.777 * * [simplify]: iters left: 6 (23 enodes) 160.784 * * [simplify]: iters left: 5 (92 enodes) 160.810 * * [simplify]: iters left: 4 (150 enodes) 160.862 * * [simplify]: iters left: 3 (271 enodes) 160.932 * * [simplify]: iters left: 2 (445 enodes) 161.078 * * [simplify]: Extracting #0: cost 1 inf + 0 161.078 * * [simplify]: Extracting #1: cost 11 inf + 0 161.078 * * [simplify]: Extracting #2: cost 69 inf + 0 161.079 * * [simplify]: Extracting #3: cost 111 inf + 84 161.079 * * [simplify]: Extracting #4: cost 112 inf + 288 161.080 * * [simplify]: Extracting #5: cost 107 inf + 622 161.080 * * [simplify]: Extracting #6: cost 100 inf + 1508 161.082 * * [simplify]: Extracting #7: cost 72 inf + 10257 161.094 * * [simplify]: Extracting #8: cost 12 inf + 32974 161.112 * * [simplify]: Extracting #9: cost 0 inf + 37880 161.130 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 161.130 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))))) 161.131 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)))) 161.131 * * [simplify]: iters left: 6 (16 enodes) 161.141 * * [simplify]: iters left: 5 (63 enodes) 161.159 * * [simplify]: iters left: 4 (94 enodes) 161.176 * * [simplify]: iters left: 3 (179 enodes) 161.243 * * [simplify]: iters left: 2 (303 enodes) 161.377 * * [simplify]: iters left: 1 (423 enodes) 161.543 * * [simplify]: Extracting #0: cost 1 inf + 0 161.543 * * [simplify]: Extracting #1: cost 0 inf + 1 161.543 * [simplify]: Simplified to 0 161.543 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 161.543 * * * * [progress]: [ 175 / 2246 ] simplifiying candidate # 161.544 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 161.544 * * [simplify]: iters left: 6 (23 enodes) 161.557 * * [simplify]: iters left: 5 (92 enodes) 161.586 * * [simplify]: iters left: 4 (150 enodes) 161.619 * * [simplify]: iters left: 3 (271 enodes) 161.693 * * [simplify]: iters left: 2 (445 enodes) 161.860 * * [simplify]: Extracting #0: cost 1 inf + 0 161.860 * * [simplify]: Extracting #1: cost 11 inf + 0 161.861 * * [simplify]: Extracting #2: cost 69 inf + 0 161.862 * * [simplify]: Extracting #3: cost 111 inf + 84 161.862 * * [simplify]: Extracting #4: cost 112 inf + 288 161.863 * * [simplify]: Extracting #5: cost 107 inf + 622 161.864 * * [simplify]: Extracting #6: cost 100 inf + 1508 161.868 * * [simplify]: Extracting #7: cost 72 inf + 10257 161.880 * * [simplify]: Extracting #8: cost 12 inf + 32974 161.897 * * [simplify]: Extracting #9: cost 0 inf + 37880 161.918 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 161.918 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))))) 161.919 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)))) 161.919 * * [simplify]: iters left: 6 (16 enodes) 161.929 * * [simplify]: iters left: 5 (63 enodes) 161.948 * * [simplify]: iters left: 4 (94 enodes) 161.973 * * [simplify]: iters left: 3 (179 enodes) 162.028 * * [simplify]: iters left: 2 (303 enodes) 162.112 * * [simplify]: iters left: 1 (423 enodes) 162.297 * * [simplify]: Extracting #0: cost 1 inf + 0 162.297 * * [simplify]: Extracting #1: cost 0 inf + 1 162.297 * [simplify]: Simplified to 0 162.297 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 162.298 * * * * [progress]: [ 176 / 2246 ] simplifiying candidate # 162.298 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 162.298 * * [simplify]: iters left: 6 (21 enodes) 162.310 * * [simplify]: iters left: 5 (83 enodes) 162.339 * * [simplify]: iters left: 4 (157 enodes) 162.387 * * [simplify]: iters left: 3 (289 enodes) 162.512 * * [simplify]: Extracting #0: cost 1 inf + 0 162.512 * * [simplify]: Extracting #1: cost 13 inf + 0 162.512 * * [simplify]: Extracting #2: cost 85 inf + 0 162.512 * * [simplify]: Extracting #3: cost 125 inf + 84 162.513 * * [simplify]: Extracting #4: cost 123 inf + 862 162.514 * * [simplify]: Extracting #5: cost 118 inf + 1277 162.514 * * [simplify]: Extracting #6: cost 110 inf + 2380 162.518 * * [simplify]: Extracting #7: cost 55 inf + 23739 162.530 * * [simplify]: Extracting #8: cost 3 inf + 45017 162.540 * * [simplify]: Extracting #9: cost 0 inf + 45830 162.558 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 162.558 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))))) 162.559 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1))) 162.559 * * [simplify]: iters left: 6 (15 enodes) 162.567 * * [simplify]: iters left: 5 (58 enodes) 162.586 * * [simplify]: iters left: 4 (100 enodes) 162.625 * * [simplify]: iters left: 3 (192 enodes) 162.716 * * [simplify]: iters left: 2 (333 enodes) 162.821 * * [simplify]: Extracting #0: cost 1 inf + 0 162.821 * * [simplify]: Extracting #1: cost 0 inf + 1 162.821 * [simplify]: Simplified to 0 162.821 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 0))) 162.821 * * * * [progress]: [ 177 / 2246 ] simplifiying candidate # 162.821 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 162.821 * * [simplify]: iters left: 6 (20 enodes) 162.827 * * [simplify]: iters left: 5 (81 enodes) 162.848 * * [simplify]: iters left: 4 (148 enodes) 162.898 * * [simplify]: iters left: 3 (244 enodes) 162.983 * * [simplify]: iters left: 2 (361 enodes) 163.114 * * [simplify]: iters left: 1 (443 enodes) 163.233 * * [simplify]: Extracting #0: cost 1 inf + 0 163.234 * * [simplify]: Extracting #1: cost 11 inf + 0 163.234 * * [simplify]: Extracting #2: cost 74 inf + 0 163.234 * * [simplify]: Extracting #3: cost 121 inf + 84 163.235 * * [simplify]: Extracting #4: cost 121 inf + 289 163.235 * * [simplify]: Extracting #5: cost 116 inf + 705 163.236 * * [simplify]: Extracting #6: cost 105 inf + 2222 163.246 * * [simplify]: Extracting #7: cost 40 inf + 27649 163.268 * * [simplify]: Extracting #8: cost 1 inf + 45975 163.291 * * [simplify]: Extracting #9: cost 0 inf + 46853 163.313 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 163.313 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 163.314 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 163.315 * * [simplify]: iters left: 6 (16 enodes) 163.323 * * [simplify]: iters left: 5 (62 enodes) 163.343 * * [simplify]: iters left: 4 (99 enodes) 163.379 * * [simplify]: iters left: 3 (150 enodes) 163.426 * * [simplify]: iters left: 2 (222 enodes) 163.498 * * [simplify]: iters left: 1 (302 enodes) 163.555 * * [simplify]: Extracting #0: cost 1 inf + 0 163.555 * * [simplify]: Extracting #1: cost 0 inf + 1 163.555 * [simplify]: Simplified to 0 163.555 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 163.556 * * * * [progress]: [ 178 / 2246 ] simplifiying candidate # 163.556 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 163.556 * * [simplify]: iters left: 6 (20 enodes) 163.561 * * [simplify]: iters left: 5 (78 enodes) 163.577 * * [simplify]: iters left: 4 (125 enodes) 163.599 * * [simplify]: iters left: 3 (194 enodes) 163.659 * * [simplify]: iters left: 2 (289 enodes) 163.765 * * [simplify]: iters left: 1 (353 enodes) 163.858 * * [simplify]: Extracting #0: cost 1 inf + 0 163.858 * * [simplify]: Extracting #1: cost 20 inf + 0 163.859 * * [simplify]: Extracting #2: cost 93 inf + 0 163.859 * * [simplify]: Extracting #3: cost 119 inf + 206 163.860 * * [simplify]: Extracting #4: cost 120 inf + 410 163.861 * * [simplify]: Extracting #5: cost 115 inf + 883 163.861 * * [simplify]: Extracting #6: cost 105 inf + 2222 163.867 * * [simplify]: Extracting #7: cost 31 inf + 31329 163.877 * * [simplify]: Extracting #8: cost 4 inf + 44248 163.887 * * [simplify]: Extracting #9: cost 0 inf + 46540 163.902 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 163.902 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 163.902 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 163.902 * * [simplify]: iters left: 6 (14 enodes) 163.909 * * [simplify]: iters left: 5 (54 enodes) 163.918 * * [simplify]: iters left: 4 (77 enodes) 163.932 * * [simplify]: iters left: 3 (106 enodes) 163.958 * * [simplify]: iters left: 2 (137 enodes) 163.977 * * [simplify]: iters left: 1 (167 enodes) 164.016 * * [simplify]: Extracting #0: cost 1 inf + 0 164.017 * * [simplify]: Extracting #1: cost 0 inf + 1 164.017 * [simplify]: Simplified to 0 164.017 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 164.017 * * * * [progress]: [ 179 / 2246 ] simplifiying candidate # 164.017 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 164.018 * * [simplify]: iters left: 6 (20 enodes) 164.026 * * [simplify]: iters left: 5 (78 enodes) 164.040 * * [simplify]: iters left: 4 (129 enodes) 164.072 * * [simplify]: iters left: 3 (214 enodes) 164.143 * * [simplify]: iters left: 2 (325 enodes) 164.230 * * [simplify]: iters left: 1 (442 enodes) 164.412 * * [simplify]: Extracting #0: cost 1 inf + 0 164.412 * * [simplify]: Extracting #1: cost 11 inf + 0 164.412 * * [simplify]: Extracting #2: cost 92 inf + 0 164.413 * * [simplify]: Extracting #3: cost 148 inf + 85 164.413 * * [simplify]: Extracting #4: cost 142 inf + 1126 164.414 * * [simplify]: Extracting #5: cost 133 inf + 2328 164.416 * * [simplify]: Extracting #6: cost 114 inf + 6917 164.424 * * [simplify]: Extracting #7: cost 17 inf + 48841 164.438 * * [simplify]: Extracting #8: cost 0 inf + 57762 164.451 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 164.451 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))))) 164.451 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1))) 164.451 * * [simplify]: iters left: 6 (14 enodes) 164.455 * * [simplify]: iters left: 5 (53 enodes) 164.464 * * [simplify]: iters left: 4 (78 enodes) 164.477 * * [simplify]: iters left: 3 (126 enodes) 164.498 * * [simplify]: iters left: 2 (171 enodes) 164.554 * * [simplify]: iters left: 1 (225 enodes) 164.607 * * [simplify]: Extracting #0: cost 1 inf + 0 164.607 * * [simplify]: Extracting #1: cost 0 inf + 1 164.607 * [simplify]: Simplified to 0 164.607 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 164.607 * * * * [progress]: [ 180 / 2246 ] simplifiying candidate # 164.607 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 164.607 * * [simplify]: iters left: 6 (22 enodes) 164.613 * * [simplify]: iters left: 5 (87 enodes) 164.628 * * [simplify]: iters left: 4 (135 enodes) 164.661 * * [simplify]: iters left: 3 (214 enodes) 164.711 * * [simplify]: iters left: 2 (317 enodes) 164.806 * * [simplify]: iters left: 1 (384 enodes) 164.920 * * [simplify]: Extracting #0: cost 1 inf + 0 164.920 * * [simplify]: Extracting #1: cost 11 inf + 0 164.920 * * [simplify]: Extracting #2: cost 102 inf + 0 164.921 * * [simplify]: Extracting #3: cost 146 inf + 206 164.922 * * [simplify]: Extracting #4: cost 140 inf + 987 164.922 * * [simplify]: Extracting #5: cost 131 inf + 2310 164.925 * * [simplify]: Extracting #6: cost 98 inf + 11000 164.937 * * [simplify]: Extracting #7: cost 26 inf + 43013 164.961 * * [simplify]: Extracting #8: cost 0 inf + 56929 164.985 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 164.985 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))))) 164.985 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)))) 164.986 * * [simplify]: iters left: 6 (15 enodes) 164.994 * * [simplify]: iters left: 5 (58 enodes) 165.008 * * [simplify]: iters left: 4 (84 enodes) 165.023 * * [simplify]: iters left: 3 (133 enodes) 165.043 * * [simplify]: iters left: 2 (175 enodes) 165.093 * * [simplify]: iters left: 1 (209 enodes) 165.147 * * [simplify]: Extracting #0: cost 1 inf + 0 165.147 * * [simplify]: Extracting #1: cost 0 inf + 1 165.147 * [simplify]: Simplified to 0 165.147 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 165.148 * * * * [progress]: [ 181 / 2246 ] simplifiying candidate # 165.148 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 165.148 * * [simplify]: iters left: 6 (22 enodes) 165.154 * * [simplify]: iters left: 5 (87 enodes) 165.168 * * [simplify]: iters left: 4 (135 enodes) 165.193 * * [simplify]: iters left: 3 (214 enodes) 165.249 * * [simplify]: iters left: 2 (317 enodes) 165.320 * * [simplify]: iters left: 1 (384 enodes) 165.407 * * [simplify]: Extracting #0: cost 1 inf + 0 165.408 * * [simplify]: Extracting #1: cost 11 inf + 0 165.408 * * [simplify]: Extracting #2: cost 102 inf + 0 165.408 * * [simplify]: Extracting #3: cost 146 inf + 206 165.409 * * [simplify]: Extracting #4: cost 140 inf + 987 165.410 * * [simplify]: Extracting #5: cost 131 inf + 2310 165.412 * * [simplify]: Extracting #6: cost 98 inf + 11000 165.420 * * [simplify]: Extracting #7: cost 26 inf + 43013 165.436 * * [simplify]: Extracting #8: cost 0 inf + 56929 165.455 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 165.455 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))))) 165.456 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)))) 165.456 * * [simplify]: iters left: 6 (15 enodes) 165.463 * * [simplify]: iters left: 5 (58 enodes) 165.472 * * [simplify]: iters left: 4 (84 enodes) 165.487 * * [simplify]: iters left: 3 (133 enodes) 165.516 * * [simplify]: iters left: 2 (175 enodes) 165.541 * * [simplify]: iters left: 1 (209 enodes) 165.583 * * [simplify]: Extracting #0: cost 1 inf + 0 165.584 * * [simplify]: Extracting #1: cost 0 inf + 1 165.584 * [simplify]: Simplified to 0 165.584 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 165.584 * * * * [progress]: [ 182 / 2246 ] simplifiying candidate # 165.584 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 165.585 * * [simplify]: iters left: 6 (20 enodes) 165.591 * * [simplify]: iters left: 5 (78 enodes) 165.605 * * [simplify]: iters left: 4 (129 enodes) 165.632 * * [simplify]: iters left: 3 (214 enodes) 165.700 * * [simplify]: iters left: 2 (325 enodes) 165.828 * * [simplify]: iters left: 1 (442 enodes) 165.987 * * [simplify]: Extracting #0: cost 1 inf + 0 165.987 * * [simplify]: Extracting #1: cost 11 inf + 0 165.987 * * [simplify]: Extracting #2: cost 92 inf + 0 165.988 * * [simplify]: Extracting #3: cost 148 inf + 85 165.989 * * [simplify]: Extracting #4: cost 142 inf + 1126 165.991 * * [simplify]: Extracting #5: cost 133 inf + 2328 165.994 * * [simplify]: Extracting #6: cost 114 inf + 6917 166.010 * * [simplify]: Extracting #7: cost 17 inf + 48841 166.034 * * [simplify]: Extracting #8: cost 0 inf + 57762 166.057 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 166.057 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))))) 166.058 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1))) 166.058 * * [simplify]: iters left: 6 (14 enodes) 166.065 * * [simplify]: iters left: 5 (53 enodes) 166.082 * * [simplify]: iters left: 4 (78 enodes) 166.111 * * [simplify]: iters left: 3 (126 enodes) 166.150 * * [simplify]: iters left: 2 (171 enodes) 166.208 * * [simplify]: iters left: 1 (225 enodes) 166.246 * * [simplify]: Extracting #0: cost 1 inf + 0 166.246 * * [simplify]: Extracting #1: cost 0 inf + 1 166.246 * [simplify]: Simplified to 0 166.246 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 166.246 * * * * [progress]: [ 183 / 2246 ] simplifiying candidate # 166.246 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 166.247 * * [simplify]: iters left: 6 (23 enodes) 166.258 * * [simplify]: iters left: 5 (100 enodes) 166.285 * * [simplify]: iters left: 4 (245 enodes) 166.400 * * [simplify]: Extracting #0: cost 1 inf + 0 166.400 * * [simplify]: Extracting #1: cost 11 inf + 0 166.401 * * [simplify]: Extracting #2: cost 149 inf + 0 166.401 * * [simplify]: Extracting #3: cost 262 inf + 1 166.402 * * [simplify]: Extracting #4: cost 259 inf + 1010 166.404 * * [simplify]: Extracting #5: cost 242 inf + 4805 166.406 * * [simplify]: Extracting #6: cost 217 inf + 13530 166.412 * * [simplify]: Extracting #7: cost 206 inf + 17026 166.419 * * [simplify]: Extracting #8: cost 152 inf + 46638 166.464 * * [simplify]: Extracting #9: cost 13 inf + 128380 166.518 * * [simplify]: Extracting #10: cost 0 inf + 135934 166.546 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 166.547 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 166.547 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 166.547 * * [simplify]: iters left: 6 (21 enodes) 166.553 * * [simplify]: iters left: 5 (87 enodes) 166.571 * * [simplify]: iters left: 4 (200 enodes) 166.646 * * [simplify]: Extracting #0: cost 1 inf + 0 166.646 * * [simplify]: Extracting #1: cost 25 inf + 0 166.646 * * [simplify]: Extracting #2: cost 150 inf + 0 166.647 * * [simplify]: Extracting #3: cost 243 inf + 1 166.648 * * [simplify]: Extracting #4: cost 245 inf + 365 166.649 * * [simplify]: Extracting #5: cost 226 inf + 4202 166.651 * * [simplify]: Extracting #6: cost 200 inf + 13225 166.656 * * [simplify]: Extracting #7: cost 154 inf + 36777 166.691 * * [simplify]: Extracting #8: cost 20 inf + 116269 166.716 * * [simplify]: Extracting #9: cost 0 inf + 128603 166.764 * [simplify]: Simplified to (- (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 166.764 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) (- (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 166.765 * * * * [progress]: [ 184 / 2246 ] simplifiying candidate # 166.765 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 166.766 * * [simplify]: iters left: 6 (24 enodes) 166.778 * * [simplify]: iters left: 5 (101 enodes) 166.814 * * [simplify]: iters left: 4 (218 enodes) 166.915 * * [simplify]: Extracting #0: cost 1 inf + 0 166.915 * * [simplify]: Extracting #1: cost 11 inf + 0 166.915 * * [simplify]: Extracting #2: cost 118 inf + 0 166.916 * * [simplify]: Extracting #3: cost 205 inf + 1 166.917 * * [simplify]: Extracting #4: cost 200 inf + 1332 166.918 * * [simplify]: Extracting #5: cost 186 inf + 4789 166.920 * * [simplify]: Extracting #6: cost 160 inf + 13570 166.924 * * [simplify]: Extracting #7: cost 121 inf + 29850 166.942 * * [simplify]: Extracting #8: cost 29 inf + 78041 166.980 * * [simplify]: Extracting #9: cost 0 inf + 94283 167.017 * * [simplify]: Extracting #10: cost 0 inf + 94228 167.058 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 167.058 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 167.059 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 167.059 * * [simplify]: iters left: 6 (20 enodes) 167.070 * * [simplify]: iters left: 5 (82 enodes) 167.098 * * [simplify]: iters left: 4 (166 enodes) 167.177 * * [simplify]: Extracting #0: cost 1 inf + 0 167.177 * * [simplify]: Extracting #1: cost 22 inf + 0 167.177 * * [simplify]: Extracting #2: cost 106 inf + 0 167.178 * * [simplify]: Extracting #3: cost 175 inf + 0 167.178 * * [simplify]: Extracting #4: cost 174 inf + 286 167.179 * * [simplify]: Extracting #5: cost 165 inf + 2060 167.181 * * [simplify]: Extracting #6: cost 133 inf + 12055 167.183 * * [simplify]: Extracting #7: cost 124 inf + 14115 167.189 * * [simplify]: Extracting #8: cost 61 inf + 47169 167.203 * * [simplify]: Extracting #9: cost 3 inf + 80053 167.234 * * [simplify]: Extracting #10: cost 0 inf + 81907 167.264 * [simplify]: Simplified to (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 167.264 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))))))) 167.265 * * * * [progress]: [ 185 / 2246 ] simplifiying candidate # 167.265 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 167.266 * * [simplify]: iters left: 6 (23 enodes) 167.277 * * [simplify]: iters left: 5 (95 enodes) 167.313 * * [simplify]: iters left: 4 (225 enodes) 167.393 * * [simplify]: Extracting #0: cost 1 inf + 0 167.393 * * [simplify]: Extracting #1: cost 13 inf + 0 167.393 * * [simplify]: Extracting #2: cost 123 inf + 0 167.394 * * [simplify]: Extracting #3: cost 199 inf + 2 167.396 * * [simplify]: Extracting #4: cost 197 inf + 1061 167.402 * * [simplify]: Extracting #5: cost 170 inf + 7570 167.408 * * [simplify]: Extracting #6: cost 124 inf + 22676 167.422 * * [simplify]: Extracting #7: cost 78 inf + 41784 167.437 * * [simplify]: Extracting #8: cost 6 inf + 78080 167.455 * * [simplify]: Extracting #9: cost 0 inf + 80908 167.471 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 167.471 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 167.471 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 167.471 * * [simplify]: iters left: 6 (19 enodes) 167.478 * * [simplify]: iters left: 5 (76 enodes) 167.506 * * [simplify]: iters left: 4 (173 enodes) 167.561 * * [simplify]: Extracting #0: cost 1 inf + 0 167.562 * * [simplify]: Extracting #1: cost 14 inf + 0 167.562 * * [simplify]: Extracting #2: cost 90 inf + 0 167.562 * * [simplify]: Extracting #3: cost 150 inf + 1 167.563 * * [simplify]: Extracting #4: cost 151 inf + 286 167.563 * * [simplify]: Extracting #5: cost 139 inf + 2371 167.565 * * [simplify]: Extracting #6: cost 93 inf + 16977 167.573 * * [simplify]: Extracting #7: cost 13 inf + 53665 167.584 * * [simplify]: Extracting #8: cost 0 inf + 59778 167.600 * [simplify]: Simplified to (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 167.600 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 167.601 * * * * [progress]: [ 186 / 2246 ] simplifiying candidate # 167.601 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 167.601 * * [simplify]: iters left: 6 (25 enodes) 167.617 * * [simplify]: iters left: 5 (105 enodes) 167.639 * * [simplify]: iters left: 4 (192 enodes) 167.698 * * [simplify]: iters left: 3 (485 enodes) 167.994 * * [simplify]: Extracting #0: cost 1 inf + 0 167.995 * * [simplify]: Extracting #1: cost 15 inf + 0 167.995 * * [simplify]: Extracting #2: cost 169 inf + 0 167.998 * * [simplify]: Extracting #3: cost 320 inf + 447 168.000 * * [simplify]: Extracting #4: cost 318 inf + 1698 168.004 * * [simplify]: Extracting #5: cost 293 inf + 8237 168.011 * * [simplify]: Extracting #6: cost 211 inf + 37517 168.038 * * [simplify]: Extracting #7: cost 53 inf + 111003 168.105 * * [simplify]: Extracting #8: cost 3 inf + 136738 168.166 * * [simplify]: Extracting #9: cost 0 inf + 138662 168.198 * * [simplify]: Extracting #10: cost 0 inf + 138542 168.242 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 168.242 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 168.243 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 168.243 * * [simplify]: iters left: 6 (20 enodes) 168.249 * * [simplify]: iters left: 5 (82 enodes) 168.270 * * [simplify]: iters left: 4 (138 enodes) 168.316 * * [simplify]: iters left: 3 (402 enodes) 168.598 * * [simplify]: Extracting #0: cost 1 inf + 0 168.598 * * [simplify]: Extracting #1: cost 0 inf + 1 168.598 * [simplify]: Simplified to 0 168.598 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 0))) 168.599 * * * * [progress]: [ 187 / 2246 ] simplifiying candidate # 168.599 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 168.600 * * [simplify]: iters left: 6 (25 enodes) 168.611 * * [simplify]: iters left: 5 (105 enodes) 168.630 * * [simplify]: iters left: 4 (192 enodes) 168.691 * * [simplify]: iters left: 3 (485 enodes) 168.974 * * [simplify]: Extracting #0: cost 1 inf + 0 168.974 * * [simplify]: Extracting #1: cost 15 inf + 0 168.975 * * [simplify]: Extracting #2: cost 169 inf + 0 168.977 * * [simplify]: Extracting #3: cost 320 inf + 447 168.981 * * [simplify]: Extracting #4: cost 318 inf + 1698 168.984 * * [simplify]: Extracting #5: cost 293 inf + 8237 168.991 * * [simplify]: Extracting #6: cost 211 inf + 37517 169.023 * * [simplify]: Extracting #7: cost 53 inf + 111003 169.056 * * [simplify]: Extracting #8: cost 3 inf + 136738 169.107 * * [simplify]: Extracting #9: cost 0 inf + 138662 169.140 * * [simplify]: Extracting #10: cost 0 inf + 138542 169.180 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 169.180 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 169.181 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 169.181 * * [simplify]: iters left: 6 (20 enodes) 169.193 * * [simplify]: iters left: 5 (82 enodes) 169.210 * * [simplify]: iters left: 4 (138 enodes) 169.260 * * [simplify]: iters left: 3 (402 enodes) 169.541 * * [simplify]: Extracting #0: cost 1 inf + 0 169.541 * * [simplify]: Extracting #1: cost 0 inf + 1 169.541 * [simplify]: Simplified to 0 169.541 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 0))) 169.542 * * * * [progress]: [ 188 / 2246 ] simplifiying candidate # 169.542 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 169.542 * * [simplify]: iters left: 6 (23 enodes) 169.555 * * [simplify]: iters left: 5 (95 enodes) 169.595 * * [simplify]: iters left: 4 (225 enodes) 169.683 * * [simplify]: Extracting #0: cost 1 inf + 0 169.683 * * [simplify]: Extracting #1: cost 13 inf + 0 169.684 * * [simplify]: Extracting #2: cost 123 inf + 0 169.684 * * [simplify]: Extracting #3: cost 199 inf + 2 169.685 * * [simplify]: Extracting #4: cost 197 inf + 1061 169.686 * * [simplify]: Extracting #5: cost 170 inf + 7570 169.689 * * [simplify]: Extracting #6: cost 124 inf + 22676 169.696 * * [simplify]: Extracting #7: cost 78 inf + 41784 169.719 * * [simplify]: Extracting #8: cost 6 inf + 78080 169.735 * * [simplify]: Extracting #9: cost 0 inf + 80908 169.755 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 169.755 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 169.756 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 169.756 * * [simplify]: iters left: 6 (19 enodes) 169.767 * * [simplify]: iters left: 5 (76 enodes) 169.795 * * [simplify]: iters left: 4 (173 enodes) 169.866 * * [simplify]: Extracting #0: cost 1 inf + 0 169.866 * * [simplify]: Extracting #1: cost 14 inf + 0 169.867 * * [simplify]: Extracting #2: cost 90 inf + 0 169.867 * * [simplify]: Extracting #3: cost 150 inf + 1 169.868 * * [simplify]: Extracting #4: cost 151 inf + 286 169.869 * * [simplify]: Extracting #5: cost 139 inf + 2371 169.873 * * [simplify]: Extracting #6: cost 93 inf + 16977 169.889 * * [simplify]: Extracting #7: cost 13 inf + 53665 169.914 * * [simplify]: Extracting #8: cost 0 inf + 59778 169.935 * [simplify]: Simplified to (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 169.935 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 169.936 * * * * [progress]: [ 189 / 2246 ] simplifiying candidate # 169.936 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 169.937 * * [simplify]: iters left: 6 (22 enodes) 169.949 * * [simplify]: iters left: 5 (94 enodes) 169.983 * * [simplify]: iters left: 4 (214 enodes) 170.069 * * [simplify]: Extracting #0: cost 1 inf + 0 170.069 * * [simplify]: Extracting #1: cost 11 inf + 0 170.069 * * [simplify]: Extracting #2: cost 108 inf + 0 170.070 * * [simplify]: Extracting #3: cost 186 inf + 1 170.071 * * [simplify]: Extracting #4: cost 183 inf + 889 170.072 * * [simplify]: Extracting #5: cost 168 inf + 3753 170.075 * * [simplify]: Extracting #6: cost 154 inf + 8200 170.078 * * [simplify]: Extracting #7: cost 147 inf + 10144 170.084 * * [simplify]: Extracting #8: cost 104 inf + 31758 170.102 * * [simplify]: Extracting #9: cost 4 inf + 87508 170.122 * * [simplify]: Extracting #10: cost 0 inf + 89030 170.148 * * [simplify]: Extracting #11: cost 0 inf + 88990 170.173 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (sqrt (hypot 1 x)) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (sqrt (hypot 1 x))))) 170.173 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (sqrt (hypot 1 x)) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (sqrt (hypot 1 x))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 170.174 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 170.174 * * [simplify]: iters left: 6 (20 enodes) 170.184 * * [simplify]: iters left: 5 (81 enodes) 170.211 * * [simplify]: iters left: 4 (169 enodes) 170.289 * * [simplify]: Extracting #0: cost 1 inf + 0 170.289 * * [simplify]: Extracting #1: cost 22 inf + 0 170.289 * * [simplify]: Extracting #2: cost 104 inf + 0 170.290 * * [simplify]: Extracting #3: cost 169 inf + 0 170.292 * * [simplify]: Extracting #4: cost 160 inf + 1174 170.294 * * [simplify]: Extracting #5: cost 140 inf + 5986 170.296 * * [simplify]: Extracting #6: cost 136 inf + 7316 170.299 * * [simplify]: Extracting #7: cost 132 inf + 7868 170.309 * * [simplify]: Extracting #8: cost 72 inf + 39468 170.339 * * [simplify]: Extracting #9: cost 3 inf + 80030 170.358 * * [simplify]: Extracting #10: cost 0 inf + 81164 170.375 * * [simplify]: Extracting #11: cost 0 inf + 80644 170.404 * * [simplify]: Extracting #12: cost 0 inf + 80484 170.438 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) 170.439 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))))))) 170.439 * * * * [progress]: [ 190 / 2246 ] simplifiying candidate # 170.440 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 170.440 * * [simplify]: iters left: 6 (23 enodes) 170.452 * * [simplify]: iters left: 5 (94 enodes) 170.471 * * [simplify]: iters left: 4 (190 enodes) 170.520 * * [simplify]: iters left: 3 (480 enodes) 170.823 * * [simplify]: Extracting #0: cost 1 inf + 0 170.823 * * [simplify]: Extracting #1: cost 11 inf + 0 170.824 * * [simplify]: Extracting #2: cost 148 inf + 0 170.826 * * [simplify]: Extracting #3: cost 281 inf + 1 170.828 * * [simplify]: Extracting #4: cost 279 inf + 770 170.831 * * [simplify]: Extracting #5: cost 266 inf + 3439 170.841 * * [simplify]: Extracting #6: cost 199 inf + 27540 170.886 * * [simplify]: Extracting #7: cost 52 inf + 97648 170.922 * * [simplify]: Extracting #8: cost 0 inf + 123864 170.983 * * [simplify]: Extracting #9: cost 0 inf + 123824 171.027 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (cbrt 1/2) (* (/ (sqrt (hypot 1 x)) (cbrt 1/2)) (/ (sqrt (hypot 1 x)) (cbrt 1/2)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 171.027 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (cbrt 1/2) (* (/ (sqrt (hypot 1 x)) (cbrt 1/2)) (/ (sqrt (hypot 1 x)) (cbrt 1/2)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 171.028 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 171.028 * * [simplify]: iters left: 6 (19 enodes) 171.033 * * [simplify]: iters left: 5 (75 enodes) 171.046 * * [simplify]: iters left: 4 (138 enodes) 171.086 * * [simplify]: iters left: 3 (364 enodes) 171.265 * * [simplify]: Extracting #0: cost 1 inf + 0 171.265 * * [simplify]: Extracting #1: cost 0 inf + 1 171.265 * [simplify]: Simplified to 0 171.265 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 171.266 * * * * [progress]: [ 191 / 2246 ] simplifiying candidate # 171.266 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 171.267 * * [simplify]: iters left: 6 (22 enodes) 171.281 * * [simplify]: iters left: 5 (90 enodes) 171.308 * * [simplify]: iters left: 4 (181 enodes) 171.366 * * [simplify]: iters left: 3 (442 enodes) 171.623 * * [simplify]: Extracting #0: cost 1 inf + 0 171.623 * * [simplify]: Extracting #1: cost 15 inf + 0 171.623 * * [simplify]: Extracting #2: cost 139 inf + 0 171.624 * * [simplify]: Extracting #3: cost 226 inf + 932 171.626 * * [simplify]: Extracting #4: cost 221 inf + 2426 171.628 * * [simplify]: Extracting #5: cost 208 inf + 5324 171.633 * * [simplify]: Extracting #6: cost 148 inf + 25090 171.656 * * [simplify]: Extracting #7: cost 40 inf + 71770 171.683 * * [simplify]: Extracting #8: cost 1 inf + 91723 171.707 * * [simplify]: Extracting #9: cost 0 inf + 91766 171.738 * * [simplify]: Extracting #10: cost 0 inf + 91751 171.786 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 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 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 171.787 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 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 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))))) 171.787 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1))) 171.788 * * [simplify]: iters left: 6 (18 enodes) 171.793 * * [simplify]: iters left: 5 (71 enodes) 171.805 * * [simplify]: iters left: 4 (130 enodes) 171.847 * * [simplify]: iters left: 3 (341 enodes) 172.078 * * [simplify]: Extracting #0: cost 1 inf + 0 172.078 * * [simplify]: Extracting #1: cost 0 inf + 1 172.078 * [simplify]: Simplified to 0 172.078 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 0))) 172.078 * * * * [progress]: [ 192 / 2246 ] simplifiying candidate # 172.079 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) 172.079 * * [simplify]: iters left: 6 (24 enodes) 172.091 * * [simplify]: iters left: 5 (99 enodes) 172.122 * * [simplify]: iters left: 4 (170 enodes) 172.198 * * [simplify]: iters left: 3 (432 enodes) 172.443 * * [simplify]: Extracting #0: cost 1 inf + 0 172.443 * * [simplify]: Extracting #1: cost 15 inf + 0 172.443 * * [simplify]: Extracting #2: cost 141 inf + 0 172.444 * * [simplify]: Extracting #3: cost 225 inf + 649 172.445 * * [simplify]: Extracting #4: cost 218 inf + 2707 172.447 * * [simplify]: Extracting #5: cost 208 inf + 5206 172.453 * * [simplify]: Extracting #6: cost 147 inf + 25290 172.469 * * [simplify]: Extracting #7: cost 57 inf + 64447 172.509 * * [simplify]: Extracting #8: cost 5 inf + 89398 172.552 * * [simplify]: Extracting #9: cost 0 inf + 91578 172.594 * [simplify]: Simplified to (* (cbrt 1/2) (- (/ (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 172.594 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (cbrt 1/2) (- (/ (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))))) 172.594 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)))) 172.594 * * [simplify]: iters left: 6 (19 enodes) 172.600 * * [simplify]: iters left: 5 (76 enodes) 172.613 * * [simplify]: iters left: 4 (115 enodes) 172.647 * * [simplify]: iters left: 3 (283 enodes) 172.763 * * [simplify]: Extracting #0: cost 1 inf + 0 172.763 * * [simplify]: Extracting #1: cost 28 inf + 0 172.764 * * [simplify]: Extracting #2: cost 102 inf + 1 172.765 * * [simplify]: Extracting #3: cost 142 inf + 691 172.766 * * [simplify]: Extracting #4: cost 131 inf + 3683 172.771 * * [simplify]: Extracting #5: cost 102 inf + 11388 172.781 * * [simplify]: Extracting #6: cost 97 inf + 12896 172.795 * * [simplify]: Extracting #7: cost 45 inf + 33427 172.821 * * [simplify]: Extracting #8: cost 0 inf + 53907 172.838 * * [simplify]: Extracting #9: cost 0 inf + 53757 172.852 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 172.853 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 172.853 * * * * [progress]: [ 193 / 2246 ] simplifiying candidate # 172.853 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) 172.853 * * [simplify]: iters left: 6 (24 enodes) 172.860 * * [simplify]: iters left: 5 (99 enodes) 172.892 * * [simplify]: iters left: 4 (170 enodes) 172.967 * * [simplify]: iters left: 3 (432 enodes) 173.249 * * [simplify]: Extracting #0: cost 1 inf + 0 173.249 * * [simplify]: Extracting #1: cost 15 inf + 0 173.250 * * [simplify]: Extracting #2: cost 141 inf + 0 173.252 * * [simplify]: Extracting #3: cost 225 inf + 649 173.254 * * [simplify]: Extracting #4: cost 218 inf + 2707 173.257 * * [simplify]: Extracting #5: cost 208 inf + 5206 173.268 * * [simplify]: Extracting #6: cost 147 inf + 25290 173.297 * * [simplify]: Extracting #7: cost 57 inf + 64447 173.340 * * [simplify]: Extracting #8: cost 5 inf + 89398 173.384 * * [simplify]: Extracting #9: cost 0 inf + 91578 173.409 * [simplify]: Simplified to (* (cbrt 1/2) (- (/ (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 173.409 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (cbrt 1/2) (- (/ (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))))) 173.409 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)))) 173.409 * * [simplify]: iters left: 6 (19 enodes) 173.416 * * [simplify]: iters left: 5 (76 enodes) 173.430 * * [simplify]: iters left: 4 (115 enodes) 173.453 * * [simplify]: iters left: 3 (283 enodes) 173.602 * * [simplify]: Extracting #0: cost 1 inf + 0 173.602 * * [simplify]: Extracting #1: cost 28 inf + 0 173.603 * * [simplify]: Extracting #2: cost 102 inf + 1 173.604 * * [simplify]: Extracting #3: cost 142 inf + 691 173.606 * * [simplify]: Extracting #4: cost 131 inf + 3683 173.610 * * [simplify]: Extracting #5: cost 102 inf + 11388 173.616 * * [simplify]: Extracting #6: cost 97 inf + 12896 173.625 * * [simplify]: Extracting #7: cost 45 inf + 33427 173.638 * * [simplify]: Extracting #8: cost 0 inf + 53907 173.657 * * [simplify]: Extracting #9: cost 0 inf + 53757 173.686 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 173.686 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 173.686 * * * * [progress]: [ 194 / 2246 ] simplifiying candidate # 173.686 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 173.686 * * [simplify]: iters left: 6 (22 enodes) 173.692 * * [simplify]: iters left: 5 (90 enodes) 173.710 * * [simplify]: iters left: 4 (181 enodes) 173.789 * * [simplify]: iters left: 3 (442 enodes) 174.037 * * [simplify]: Extracting #0: cost 1 inf + 0 174.037 * * [simplify]: Extracting #1: cost 15 inf + 0 174.037 * * [simplify]: Extracting #2: cost 139 inf + 0 174.038 * * [simplify]: Extracting #3: cost 226 inf + 932 174.040 * * [simplify]: Extracting #4: cost 221 inf + 2426 174.041 * * [simplify]: Extracting #5: cost 208 inf + 5324 174.047 * * [simplify]: Extracting #6: cost 148 inf + 25090 174.074 * * [simplify]: Extracting #7: cost 40 inf + 71770 174.116 * * [simplify]: Extracting #8: cost 1 inf + 91723 174.139 * * [simplify]: Extracting #9: cost 0 inf + 91766 174.175 * * [simplify]: Extracting #10: cost 0 inf + 91751 174.208 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 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 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 174.208 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 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 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))))) 174.209 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1))) 174.209 * * [simplify]: iters left: 6 (18 enodes) 174.214 * * [simplify]: iters left: 5 (71 enodes) 174.226 * * [simplify]: iters left: 4 (130 enodes) 174.276 * * [simplify]: iters left: 3 (341 enodes) 174.460 * * [simplify]: Extracting #0: cost 1 inf + 0 174.460 * * [simplify]: Extracting #1: cost 0 inf + 1 174.460 * [simplify]: Simplified to 0 174.460 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 0))) 174.460 * * * * [progress]: [ 195 / 2246 ] simplifiying candidate # 174.460 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 174.460 * * [simplify]: iters left: 6 (21 enodes) 174.468 * * [simplify]: iters left: 5 (87 enodes) 174.502 * * [simplify]: iters left: 4 (230 enodes) 174.584 * * [simplify]: Extracting #0: cost 1 inf + 0 174.584 * * [simplify]: Extracting #1: cost 17 inf + 0 174.584 * * [simplify]: Extracting #2: cost 104 inf + 0 174.586 * * [simplify]: Extracting #3: cost 170 inf + 2 174.587 * * [simplify]: Extracting #4: cost 166 inf + 1115 174.589 * * [simplify]: Extracting #5: cost 146 inf + 5029 174.591 * * [simplify]: Extracting #6: cost 143 inf + 5693 174.594 * * [simplify]: Extracting #7: cost 138 inf + 6841 174.609 * * [simplify]: Extracting #8: cost 45 inf + 53635 174.638 * * [simplify]: Extracting #9: cost 0 inf + 76765 174.670 * * [simplify]: Extracting #10: cost 0 inf + 75765 174.688 * * [simplify]: Extracting #11: cost 0 inf + 75405 174.718 * [simplify]: Simplified to (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (hypot 1 x)))) 174.718 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (hypot 1 x)))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 174.718 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 174.718 * * [simplify]: iters left: 6 (19 enodes) 174.724 * * [simplify]: iters left: 5 (76 enodes) 174.738 * * [simplify]: iters left: 4 (163 enodes) 174.798 * * [simplify]: iters left: 3 (466 enodes) 175.096 * * [simplify]: Extracting #0: cost 1 inf + 0 175.097 * * [simplify]: Extracting #1: cost 0 inf + 1 175.097 * [simplify]: Simplified to 0 175.097 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 175.098 * * * * [progress]: [ 196 / 2246 ] simplifiying candidate # 175.098 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 175.098 * * [simplify]: iters left: 6 (22 enodes) 175.109 * * [simplify]: iters left: 5 (90 enodes) 175.140 * * [simplify]: iters left: 4 (188 enodes) 175.201 * * [simplify]: iters left: 3 (455 enodes) 175.490 * * [simplify]: Extracting #0: cost 1 inf + 0 175.490 * * [simplify]: Extracting #1: cost 13 inf + 0 175.491 * * [simplify]: Extracting #2: cost 139 inf + 0 175.493 * * [simplify]: Extracting #3: cost 252 inf + 570 175.497 * * [simplify]: Extracting #4: cost 217 inf + 6423 175.501 * * [simplify]: Extracting #5: cost 202 inf + 9831 175.509 * * [simplify]: Extracting #6: cost 158 inf + 28209 175.531 * * [simplify]: Extracting #7: cost 18 inf + 90877 175.557 * * [simplify]: Extracting #8: cost 0 inf + 98028 175.586 * * [simplify]: Extracting #9: cost 0 inf + 97933 175.636 * [simplify]: Simplified to (- (/ (/ 1/2 (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 175.636 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 175.636 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 175.637 * * [simplify]: iters left: 6 (18 enodes) 175.646 * * [simplify]: iters left: 5 (71 enodes) 175.670 * * [simplify]: iters left: 4 (132 enodes) 175.727 * * [simplify]: iters left: 3 (327 enodes) 175.915 * * [simplify]: Extracting #0: cost 1 inf + 0 175.915 * * [simplify]: Extracting #1: cost 0 inf + 1 175.915 * [simplify]: Simplified to 0 175.915 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 175.916 * * * * [progress]: [ 197 / 2246 ] simplifiying candidate # 175.916 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 175.916 * * [simplify]: iters left: 6 (21 enodes) 175.927 * * [simplify]: iters left: 5 (81 enodes) 175.956 * * [simplify]: iters left: 4 (173 enodes) 176.021 * * [simplify]: iters left: 3 (378 enodes) 176.222 * * [simplify]: Extracting #0: cost 1 inf + 0 176.222 * * [simplify]: Extracting #1: cost 16 inf + 0 176.222 * * [simplify]: Extracting #2: cost 167 inf + 0 176.224 * * [simplify]: Extracting #3: cost 218 inf + 732 176.225 * * [simplify]: Extracting #4: cost 192 inf + 5519 176.231 * * [simplify]: Extracting #5: cost 122 inf + 29148 176.250 * * [simplify]: Extracting #6: cost 15 inf + 76022 176.287 * * [simplify]: Extracting #7: cost 0 inf + 81045 176.326 * * [simplify]: Extracting #8: cost 0 inf + 80970 176.364 * [simplify]: Simplified to (- (/ (/ 1/2 (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 176.364 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))))) 176.364 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1))) 176.364 * * [simplify]: iters left: 6 (17 enodes) 176.369 * * [simplify]: iters left: 5 (62 enodes) 176.382 * * [simplify]: iters left: 4 (117 enodes) 176.422 * * [simplify]: iters left: 3 (259 enodes) 176.566 * * [simplify]: Extracting #0: cost 1 inf + 0 176.567 * * [simplify]: Extracting #1: cost 0 inf + 1 176.567 * [simplify]: Simplified to 0 176.567 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 0))) 176.567 * * * * [progress]: [ 198 / 2246 ] simplifiying candidate # 176.568 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 176.568 * * [simplify]: iters left: 6 (23 enodes) 176.584 * * [simplify]: iters left: 5 (94 enodes) 176.614 * * [simplify]: iters left: 4 (176 enodes) 176.654 * * [simplify]: iters left: 3 (393 enodes) 176.820 * * [simplify]: Extracting #0: cost 1 inf + 0 176.820 * * [simplify]: Extracting #1: cost 16 inf + 0 176.820 * * [simplify]: Extracting #2: cost 136 inf + 0 176.821 * * [simplify]: Extracting #3: cost 186 inf + 1023 176.823 * * [simplify]: Extracting #4: cost 161 inf + 5412 176.829 * * [simplify]: Extracting #5: cost 124 inf + 15796 176.848 * * [simplify]: Extracting #6: cost 53 inf + 43327 176.873 * * [simplify]: Extracting #7: cost 6 inf + 66125 176.890 * * [simplify]: Extracting #8: cost 0 inf + 68602 176.913 * [simplify]: Simplified to (- (/ (/ 1/2 (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 176.913 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))))) 176.914 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)))) 176.914 * * [simplify]: iters left: 6 (18 enodes) 176.920 * * [simplify]: iters left: 5 (71 enodes) 176.933 * * [simplify]: iters left: 4 (123 enodes) 176.964 * * [simplify]: iters left: 3 (278 enodes) 177.122 * * [simplify]: Extracting #0: cost 1 inf + 0 177.122 * * [simplify]: Extracting #1: cost 0 inf + 1 177.122 * [simplify]: Simplified to 0 177.122 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 0))) 177.123 * * * * [progress]: [ 199 / 2246 ] simplifiying candidate # 177.123 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 177.123 * * [simplify]: iters left: 6 (23 enodes) 177.136 * * [simplify]: iters left: 5 (94 enodes) 177.159 * * [simplify]: iters left: 4 (176 enodes) 177.212 * * [simplify]: iters left: 3 (393 enodes) 177.397 * * [simplify]: Extracting #0: cost 1 inf + 0 177.397 * * [simplify]: Extracting #1: cost 16 inf + 0 177.397 * * [simplify]: Extracting #2: cost 136 inf + 0 177.398 * * [simplify]: Extracting #3: cost 186 inf + 1023 177.399 * * [simplify]: Extracting #4: cost 161 inf + 5412 177.402 * * [simplify]: Extracting #5: cost 124 inf + 15796 177.416 * * [simplify]: Extracting #6: cost 53 inf + 43327 177.439 * * [simplify]: Extracting #7: cost 6 inf + 66125 177.456 * * [simplify]: Extracting #8: cost 0 inf + 68602 177.473 * [simplify]: Simplified to (- (/ (/ 1/2 (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 177.473 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))))) 177.473 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)))) 177.474 * * [simplify]: iters left: 6 (18 enodes) 177.480 * * [simplify]: iters left: 5 (71 enodes) 177.507 * * [simplify]: iters left: 4 (123 enodes) 177.533 * * [simplify]: iters left: 3 (278 enodes) 177.625 * * [simplify]: Extracting #0: cost 1 inf + 0 177.625 * * [simplify]: Extracting #1: cost 0 inf + 1 177.625 * [simplify]: Simplified to 0 177.625 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 0))) 177.625 * * * * [progress]: [ 200 / 2246 ] simplifiying candidate # 177.625 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 177.625 * * [simplify]: iters left: 6 (21 enodes) 177.631 * * [simplify]: iters left: 5 (81 enodes) 177.650 * * [simplify]: iters left: 4 (173 enodes) 177.705 * * [simplify]: iters left: 3 (378 enodes) 177.846 * * [simplify]: Extracting #0: cost 1 inf + 0 177.846 * * [simplify]: Extracting #1: cost 16 inf + 0 177.847 * * [simplify]: Extracting #2: cost 167 inf + 0 177.848 * * [simplify]: Extracting #3: cost 218 inf + 732 177.849 * * [simplify]: Extracting #4: cost 192 inf + 5519 177.855 * * [simplify]: Extracting #5: cost 122 inf + 29148 177.875 * * [simplify]: Extracting #6: cost 15 inf + 76022 177.895 * * [simplify]: Extracting #7: cost 0 inf + 81045 177.927 * * [simplify]: Extracting #8: cost 0 inf + 80970 177.946 * [simplify]: Simplified to (- (/ (/ 1/2 (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 177.946 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))))) 177.947 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1))) 177.947 * * [simplify]: iters left: 6 (17 enodes) 177.956 * * [simplify]: iters left: 5 (62 enodes) 177.978 * * [simplify]: iters left: 4 (117 enodes) 178.022 * * [simplify]: iters left: 3 (259 enodes) 178.137 * * [simplify]: Extracting #0: cost 1 inf + 0 178.137 * * [simplify]: Extracting #1: cost 0 inf + 1 178.137 * [simplify]: Simplified to 0 178.137 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 0))) 178.138 * * * * [progress]: [ 201 / 2246 ] simplifiying candidate # 178.138 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 178.139 * * [simplify]: iters left: 6 (24 enodes) 178.150 * * [simplify]: iters left: 5 (99 enodes) 178.184 * * [simplify]: iters left: 4 (216 enodes) 178.283 * * [simplify]: Extracting #0: cost 1 inf + 0 178.283 * * [simplify]: Extracting #1: cost 11 inf + 0 178.283 * * [simplify]: Extracting #2: cost 116 inf + 0 178.284 * * [simplify]: Extracting #3: cost 210 inf + 1 178.284 * * [simplify]: Extracting #4: cost 207 inf + 649 178.285 * * [simplify]: Extracting #5: cost 196 inf + 2555 178.287 * * [simplify]: Extracting #6: cost 175 inf + 8412 178.291 * * [simplify]: Extracting #7: cost 136 inf + 27307 178.310 * * [simplify]: Extracting #8: cost 16 inf + 92842 178.340 * * [simplify]: Extracting #9: cost 0 inf + 99995 178.367 * * [simplify]: Extracting #10: cost 0 inf + 99900 178.390 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (* (sqrt 1/2) (sqrt 1/2)) (* (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (hypot 1 x))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (hypot 1 x))))) 178.390 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (* (sqrt 1/2) (sqrt 1/2)) (* (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (hypot 1 x))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 178.391 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 178.391 * * [simplify]: iters left: 6 (20 enodes) 178.396 * * [simplify]: iters left: 5 (80 enodes) 178.413 * * [simplify]: iters left: 4 (163 enodes) 178.457 * * [simplify]: iters left: 3 (493 enodes) 178.754 * * [simplify]: Extracting #0: cost 1 inf + 0 178.754 * * [simplify]: Extracting #1: cost 0 inf + 1 178.754 * [simplify]: Simplified to 0 178.754 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 178.754 * * * * [progress]: [ 202 / 2246 ] simplifiying candidate # 178.755 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 178.755 * * [simplify]: iters left: 6 (25 enodes) 178.768 * * [simplify]: iters left: 5 (100 enodes) 178.804 * * [simplify]: iters left: 4 (191 enodes) 178.864 * * [simplify]: iters left: 3 (464 enodes) 179.035 * * [simplify]: Extracting #0: cost 1 inf + 0 179.036 * * [simplify]: Extracting #1: cost 11 inf + 0 179.036 * * [simplify]: Extracting #2: cost 134 inf + 0 179.037 * * [simplify]: Extracting #3: cost 247 inf + 2 179.038 * * [simplify]: Extracting #4: cost 245 inf + 661 179.039 * * [simplify]: Extracting #5: cost 230 inf + 3243 179.041 * * [simplify]: Extracting #6: cost 202 inf + 9722 179.048 * * [simplify]: Extracting #7: cost 145 inf + 33620 179.076 * * [simplify]: Extracting #8: cost 31 inf + 88425 179.105 * * [simplify]: Extracting #9: cost 0 inf + 103345 179.135 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (hypot 1 x))))) 179.135 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 179.136 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 179.136 * * [simplify]: iters left: 6 (19 enodes) 179.145 * * [simplify]: iters left: 5 (75 enodes) 179.166 * * [simplify]: iters left: 4 (134 enodes) 179.204 * * [simplify]: iters left: 3 (346 enodes) 179.345 * * [simplify]: Extracting #0: cost 1 inf + 0 179.345 * * [simplify]: Extracting #1: cost 0 inf + 1 179.345 * [simplify]: Simplified to 0 179.345 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 179.345 * * * * [progress]: [ 203 / 2246 ] simplifiying candidate # 179.346 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 179.346 * * [simplify]: iters left: 6 (24 enodes) 179.352 * * [simplify]: iters left: 5 (95 enodes) 179.375 * * [simplify]: iters left: 4 (182 enodes) 179.427 * * [simplify]: iters left: 3 (430 enodes) 179.614 * * [simplify]: Extracting #0: cost 1 inf + 0 179.614 * * [simplify]: Extracting #1: cost 11 inf + 0 179.614 * * [simplify]: Extracting #2: cost 109 inf + 0 179.615 * * [simplify]: Extracting #3: cost 199 inf + 3 179.616 * * [simplify]: Extracting #4: cost 195 inf + 865 179.617 * * [simplify]: Extracting #5: cost 178 inf + 3925 179.623 * * [simplify]: Extracting #6: cost 105 inf + 29091 179.651 * * [simplify]: Extracting #7: cost 10 inf + 68969 179.691 * * [simplify]: Extracting #8: cost 0 inf + 73540 179.727 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 179.727 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 179.728 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 179.729 * * [simplify]: iters left: 6 (18 enodes) 179.738 * * [simplify]: iters left: 5 (70 enodes) 179.762 * * [simplify]: iters left: 4 (126 enodes) 179.797 * * [simplify]: iters left: 3 (322 enodes) 179.942 * * [simplify]: Extracting #0: cost 1 inf + 0 179.942 * * [simplify]: Extracting #1: cost 0 inf + 1 179.942 * [simplify]: Simplified to 0 179.942 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 179.942 * * * * [progress]: [ 204 / 2246 ] simplifiying candidate # 179.942 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 179.942 * * [simplify]: iters left: 6 (26 enodes) 179.955 * * [simplify]: iters left: 5 (104 enodes) 179.979 * * [simplify]: iters left: 4 (172 enodes) 180.020 * * [simplify]: iters left: 3 (375 enodes) 180.187 * * [simplify]: Extracting #0: cost 1 inf + 0 180.188 * * [simplify]: Extracting #1: cost 19 inf + 0 180.188 * * [simplify]: Extracting #2: cost 122 inf + 0 180.190 * * [simplify]: Extracting #3: cost 191 inf + 658 180.191 * * [simplify]: Extracting #4: cost 191 inf + 1104 180.193 * * [simplify]: Extracting #5: cost 182 inf + 2688 180.199 * * [simplify]: Extracting #6: cost 128 inf + 18253 180.220 * * [simplify]: Extracting #7: cost 42 inf + 53557 180.252 * * [simplify]: Extracting #8: cost 1 inf + 73206 180.286 * * [simplify]: Extracting #9: cost 0 inf + 73329 180.324 * * [simplify]: Extracting #10: cost 0 inf + 73274 180.341 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x)))) 180.341 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x)))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 180.342 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 180.342 * * [simplify]: iters left: 6 (19 enodes) 180.348 * * [simplify]: iters left: 5 (75 enodes) 180.361 * * [simplify]: iters left: 4 (111 enodes) 180.389 * * [simplify]: iters left: 3 (244 enodes) 180.494 * * [simplify]: Extracting #0: cost 1 inf + 0 180.494 * * [simplify]: Extracting #1: cost 18 inf + 0 180.495 * * [simplify]: Extracting #2: cost 75 inf + 1 180.496 * * [simplify]: Extracting #3: cost 123 inf + 1 180.497 * * [simplify]: Extracting #4: cost 115 inf + 1708 180.500 * * [simplify]: Extracting #5: cost 83 inf + 10385 180.506 * * [simplify]: Extracting #6: cost 78 inf + 11373 180.513 * * [simplify]: Extracting #7: cost 25 inf + 31967 180.524 * * [simplify]: Extracting #8: cost 0 inf + 41997 180.537 * * [simplify]: Extracting #9: cost 0 inf + 41872 180.559 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 180.559 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))))))) 180.560 * * * * [progress]: [ 205 / 2246 ] simplifiying candidate # 180.560 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 180.560 * * [simplify]: iters left: 6 (26 enodes) 180.569 * * [simplify]: iters left: 5 (104 enodes) 180.586 * * [simplify]: iters left: 4 (172 enodes) 180.648 * * [simplify]: iters left: 3 (375 enodes) 180.838 * * [simplify]: Extracting #0: cost 1 inf + 0 180.838 * * [simplify]: Extracting #1: cost 19 inf + 0 180.838 * * [simplify]: Extracting #2: cost 122 inf + 0 180.839 * * [simplify]: Extracting #3: cost 191 inf + 658 180.840 * * [simplify]: Extracting #4: cost 191 inf + 1104 180.841 * * [simplify]: Extracting #5: cost 182 inf + 2688 180.844 * * [simplify]: Extracting #6: cost 128 inf + 18253 180.855 * * [simplify]: Extracting #7: cost 42 inf + 53557 180.879 * * [simplify]: Extracting #8: cost 1 inf + 73206 180.897 * * [simplify]: Extracting #9: cost 0 inf + 73329 180.925 * * [simplify]: Extracting #10: cost 0 inf + 73274 180.960 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x)))) 180.960 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x)))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 180.960 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 180.961 * * [simplify]: iters left: 6 (19 enodes) 180.974 * * [simplify]: iters left: 5 (75 enodes) 180.997 * * [simplify]: iters left: 4 (111 enodes) 181.036 * * [simplify]: iters left: 3 (244 enodes) 181.145 * * [simplify]: Extracting #0: cost 1 inf + 0 181.145 * * [simplify]: Extracting #1: cost 18 inf + 0 181.146 * * [simplify]: Extracting #2: cost 75 inf + 1 181.146 * * [simplify]: Extracting #3: cost 123 inf + 1 181.148 * * [simplify]: Extracting #4: cost 115 inf + 1708 181.151 * * [simplify]: Extracting #5: cost 83 inf + 10385 181.156 * * [simplify]: Extracting #6: cost 78 inf + 11373 181.168 * * [simplify]: Extracting #7: cost 25 inf + 31967 181.188 * * [simplify]: Extracting #8: cost 0 inf + 41997 181.208 * * [simplify]: Extracting #9: cost 0 inf + 41872 181.221 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 181.221 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))))))) 181.221 * * * * [progress]: [ 206 / 2246 ] simplifiying candidate # 181.221 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 181.221 * * [simplify]: iters left: 6 (24 enodes) 181.228 * * [simplify]: iters left: 5 (95 enodes) 181.258 * * [simplify]: iters left: 4 (182 enodes) 181.337 * * [simplify]: iters left: 3 (430 enodes) 181.534 * * [simplify]: Extracting #0: cost 1 inf + 0 181.535 * * [simplify]: Extracting #1: cost 11 inf + 0 181.535 * * [simplify]: Extracting #2: cost 109 inf + 0 181.536 * * [simplify]: Extracting #3: cost 199 inf + 3 181.536 * * [simplify]: Extracting #4: cost 195 inf + 865 181.537 * * [simplify]: Extracting #5: cost 178 inf + 3925 181.543 * * [simplify]: Extracting #6: cost 105 inf + 29091 181.559 * * [simplify]: Extracting #7: cost 10 inf + 68969 181.580 * * [simplify]: Extracting #8: cost 0 inf + 73540 181.616 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 181.616 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 181.617 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 181.617 * * [simplify]: iters left: 6 (18 enodes) 181.626 * * [simplify]: iters left: 5 (70 enodes) 181.654 * * [simplify]: iters left: 4 (126 enodes) 181.705 * * [simplify]: iters left: 3 (322 enodes) 181.872 * * [simplify]: Extracting #0: cost 1 inf + 0 181.872 * * [simplify]: Extracting #1: cost 0 inf + 1 181.872 * [simplify]: Simplified to 0 181.872 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 181.872 * * * * [progress]: [ 207 / 2246 ] simplifiying candidate # 181.872 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 181.873 * * [simplify]: iters left: 6 (22 enodes) 181.879 * * [simplify]: iters left: 5 (91 enodes) 181.898 * * [simplify]: iters left: 4 (190 enodes) 181.981 * * [simplify]: iters left: 3 (453 enodes) 182.170 * * [simplify]: Extracting #0: cost 1 inf + 0 182.170 * * [simplify]: Extracting #1: cost 11 inf + 0 182.170 * * [simplify]: Extracting #2: cost 118 inf + 0 182.172 * * [simplify]: Extracting #3: cost 238 inf + 2 182.174 * * [simplify]: Extracting #4: cost 238 inf + 610 182.177 * * [simplify]: Extracting #5: cost 228 inf + 1835 182.180 * * [simplify]: Extracting #6: cost 211 inf + 5375 182.190 * * [simplify]: Extracting #7: cost 156 inf + 29636 182.219 * * [simplify]: Extracting #8: cost 32 inf + 90478 182.265 * * [simplify]: Extracting #9: cost 0 inf + 106687 182.298 * * [simplify]: Extracting #10: cost 0 inf + 106407 182.357 * * [simplify]: Extracting #11: cost 0 inf + 106287 182.412 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ -1/2 (* (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (hypot 1 x))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 182.412 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ -1/2 (* (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (hypot 1 x))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 182.413 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 182.413 * * [simplify]: iters left: 6 (18 enodes) 182.418 * * [simplify]: iters left: 5 (72 enodes) 182.432 * * [simplify]: iters left: 4 (139 enodes) 182.485 * * [simplify]: iters left: 3 (344 enodes) 182.618 * * [simplify]: Extracting #0: cost 1 inf + 0 182.618 * * [simplify]: Extracting #1: cost 0 inf + 1 182.618 * [simplify]: Simplified to 0 182.618 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 182.619 * * * * [progress]: [ 208 / 2246 ] simplifiying candidate # 182.619 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 182.619 * * [simplify]: iters left: 6 (22 enodes) 182.630 * * [simplify]: iters left: 5 (86 enodes) 182.659 * * [simplify]: iters left: 4 (154 enodes) 182.716 * * [simplify]: iters left: 3 (324 enodes) 182.861 * * [simplify]: Extracting #0: cost 1 inf + 0 182.861 * * [simplify]: Extracting #1: cost 9 inf + 0 182.861 * * [simplify]: Extracting #2: cost 94 inf + 0 182.862 * * [simplify]: Extracting #3: cost 174 inf + 2 182.864 * * [simplify]: Extracting #4: cost 171 inf + 942 182.865 * * [simplify]: Extracting #5: cost 167 inf + 1220 182.870 * * [simplify]: Extracting #6: cost 121 inf + 16859 182.896 * * [simplify]: Extracting #7: cost 26 inf + 54121 182.927 * * [simplify]: Extracting #8: cost 0 inf + 65110 182.958 * * [simplify]: Extracting #9: cost 0 inf + 64990 182.975 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ -1/2 (sqrt (hypot 1 x))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (hypot 1 x))))) 182.975 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ -1/2 (sqrt (hypot 1 x))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 182.975 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 182.975 * * [simplify]: iters left: 6 (16 enodes) 182.980 * * [simplify]: iters left: 5 (62 enodes) 182.991 * * [simplify]: iters left: 4 (105 enodes) 183.020 * * [simplify]: iters left: 3 (234 enodes) 183.078 * * [simplify]: Extracting #0: cost 1 inf + 0 183.078 * * [simplify]: Extracting #1: cost 0 inf + 1 183.078 * [simplify]: Simplified to 0 183.078 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 183.079 * * * * [progress]: [ 209 / 2246 ] simplifiying candidate # 183.079 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 183.080 * * [simplify]: iters left: 6 (22 enodes) 183.092 * * [simplify]: iters left: 5 (88 enodes) 183.125 * * [simplify]: iters left: 4 (166 enodes) 183.161 * * [simplify]: iters left: 3 (355 enodes) 183.271 * * [simplify]: Extracting #0: cost 1 inf + 0 183.271 * * [simplify]: Extracting #1: cost 11 inf + 0 183.272 * * [simplify]: Extracting #2: cost 92 inf + 0 183.272 * * [simplify]: Extracting #3: cost 158 inf + 3 183.273 * * [simplify]: Extracting #4: cost 158 inf + 368 183.273 * * [simplify]: Extracting #5: cost 148 inf + 1545 183.274 * * [simplify]: Extracting #6: cost 133 inf + 3997 183.276 * * [simplify]: Extracting #7: cost 119 inf + 6689 183.278 * * [simplify]: Extracting #8: cost 113 inf + 7997 183.285 * * [simplify]: Extracting #9: cost 35 inf + 38237 183.299 * * [simplify]: Extracting #10: cost 1 inf + 52956 183.312 * * [simplify]: Extracting #11: cost 0 inf + 53360 183.326 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (hypot 1 x)))) 183.326 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (hypot 1 x)))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))))) 183.326 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1))) 183.327 * * [simplify]: iters left: 6 (16 enodes) 183.331 * * [simplify]: iters left: 5 (63 enodes) 183.352 * * [simplify]: iters left: 4 (113 enodes) 183.401 * * [simplify]: iters left: 3 (256 enodes) 183.522 * * [simplify]: Extracting #0: cost 1 inf + 0 183.523 * * [simplify]: Extracting #1: cost 0 inf + 1 183.523 * [simplify]: Simplified to 0 183.523 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 0))) 183.523 * * * * [progress]: [ 210 / 2246 ] simplifiying candidate # 183.523 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 183.524 * * [simplify]: iters left: 6 (24 enodes) 183.530 * * [simplify]: iters left: 5 (97 enodes) 183.555 * * [simplify]: iters left: 4 (160 enodes) 183.619 * * [simplify]: iters left: 3 (334 enodes) 183.772 * * [simplify]: Extracting #0: cost 1 inf + 0 183.773 * * [simplify]: Extracting #1: cost 11 inf + 0 183.773 * * [simplify]: Extracting #2: cost 91 inf + 0 183.774 * * [simplify]: Extracting #3: cost 152 inf + 2 183.775 * * [simplify]: Extracting #4: cost 153 inf + 287 183.776 * * [simplify]: Extracting #5: cost 146 inf + 1244 183.778 * * [simplify]: Extracting #6: cost 130 inf + 3719 183.783 * * [simplify]: Extracting #7: cost 91 inf + 14235 183.794 * * [simplify]: Extracting #8: cost 26 inf + 40446 183.807 * * [simplify]: Extracting #9: cost 0 inf + 52415 183.819 * * [simplify]: Extracting #10: cost 0 inf + 52160 183.842 * * [simplify]: Extracting #11: cost 0 inf + 52145 183.854 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) 183.854 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))))) 183.855 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)))) 183.855 * * [simplify]: iters left: 6 (17 enodes) 183.860 * * [simplify]: iters left: 5 (68 enodes) 183.878 * * [simplify]: iters left: 4 (101 enodes) 183.911 * * [simplify]: iters left: 3 (206 enodes) 184.009 * * [simplify]: iters left: 2 (407 enodes) 184.158 * * [simplify]: Extracting #0: cost 1 inf + 0 184.158 * * [simplify]: Extracting #1: cost 0 inf + 1 184.158 * [simplify]: Simplified to 0 184.158 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 184.159 * * * * [progress]: [ 211 / 2246 ] simplifiying candidate # 184.159 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 184.159 * * [simplify]: iters left: 6 (24 enodes) 184.173 * * [simplify]: iters left: 5 (97 enodes) 184.201 * * [simplify]: iters left: 4 (160 enodes) 184.236 * * [simplify]: iters left: 3 (334 enodes) 184.358 * * [simplify]: Extracting #0: cost 1 inf + 0 184.358 * * [simplify]: Extracting #1: cost 11 inf + 0 184.359 * * [simplify]: Extracting #2: cost 91 inf + 0 184.360 * * [simplify]: Extracting #3: cost 152 inf + 2 184.361 * * [simplify]: Extracting #4: cost 153 inf + 287 184.362 * * [simplify]: Extracting #5: cost 146 inf + 1244 184.364 * * [simplify]: Extracting #6: cost 130 inf + 3719 184.369 * * [simplify]: Extracting #7: cost 91 inf + 14235 184.386 * * [simplify]: Extracting #8: cost 26 inf + 40446 184.399 * * [simplify]: Extracting #9: cost 0 inf + 52415 184.412 * * [simplify]: Extracting #10: cost 0 inf + 52160 184.435 * * [simplify]: Extracting #11: cost 0 inf + 52145 184.452 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) 184.452 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))))) 184.453 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)))) 184.453 * * [simplify]: iters left: 6 (17 enodes) 184.458 * * [simplify]: iters left: 5 (68 enodes) 184.469 * * [simplify]: iters left: 4 (101 enodes) 184.488 * * [simplify]: iters left: 3 (206 enodes) 184.553 * * [simplify]: iters left: 2 (407 enodes) 184.719 * * [simplify]: Extracting #0: cost 1 inf + 0 184.719 * * [simplify]: Extracting #1: cost 0 inf + 1 184.719 * [simplify]: Simplified to 0 184.719 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 184.720 * * * * [progress]: [ 212 / 2246 ] simplifiying candidate # 184.720 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 184.720 * * [simplify]: iters left: 6 (22 enodes) 184.732 * * [simplify]: iters left: 5 (88 enodes) 184.762 * * [simplify]: iters left: 4 (166 enodes) 184.832 * * [simplify]: iters left: 3 (355 enodes) 185.007 * * [simplify]: Extracting #0: cost 1 inf + 0 185.007 * * [simplify]: Extracting #1: cost 11 inf + 0 185.008 * * [simplify]: Extracting #2: cost 92 inf + 0 185.009 * * [simplify]: Extracting #3: cost 158 inf + 3 185.010 * * [simplify]: Extracting #4: cost 158 inf + 368 185.011 * * [simplify]: Extracting #5: cost 148 inf + 1545 185.014 * * [simplify]: Extracting #6: cost 133 inf + 3997 185.017 * * [simplify]: Extracting #7: cost 119 inf + 6689 185.021 * * [simplify]: Extracting #8: cost 113 inf + 7997 185.030 * * [simplify]: Extracting #9: cost 35 inf + 38237 185.045 * * [simplify]: Extracting #10: cost 1 inf + 52956 185.059 * * [simplify]: Extracting #11: cost 0 inf + 53360 185.085 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (hypot 1 x)))) 185.085 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (hypot 1 x)))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))))) 185.086 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1))) 185.086 * * [simplify]: iters left: 6 (16 enodes) 185.095 * * [simplify]: iters left: 5 (63 enodes) 185.117 * * [simplify]: iters left: 4 (113 enodes) 185.162 * * [simplify]: iters left: 3 (256 enodes) 185.272 * * [simplify]: Extracting #0: cost 1 inf + 0 185.272 * * [simplify]: Extracting #1: cost 0 inf + 1 185.272 * [simplify]: Simplified to 0 185.272 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 0))) 185.273 * * * * [progress]: [ 213 / 2246 ] simplifiying candidate # 185.276 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 185.276 * * [simplify]: iters left: 6 (22 enodes) 185.286 * * [simplify]: iters left: 5 (90 enodes) 185.303 * * [simplify]: iters left: 4 (186 enodes) 185.373 * * [simplify]: iters left: 3 (444 enodes) 185.602 * * [simplify]: Extracting #0: cost 1 inf + 0 185.602 * * [simplify]: Extracting #1: cost 11 inf + 0 185.603 * * [simplify]: Extracting #2: cost 113 inf + 0 185.604 * * [simplify]: Extracting #3: cost 189 inf + 620 185.606 * * [simplify]: Extracting #4: cost 169 inf + 2917 185.609 * * [simplify]: Extracting #5: cost 166 inf + 3630 185.612 * * [simplify]: Extracting #6: cost 165 inf + 3946 185.618 * * [simplify]: Extracting #7: cost 134 inf + 15947 185.652 * * [simplify]: Extracting #8: cost 24 inf + 67027 185.684 * * [simplify]: Extracting #9: cost 0 inf + 78304 185.724 * * [simplify]: Extracting #10: cost 0 inf + 78264 185.769 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 185.769 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 185.770 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 185.770 * * [simplify]: iters left: 6 (18 enodes) 185.778 * * [simplify]: iters left: 5 (71 enodes) 185.791 * * [simplify]: iters left: 4 (135 enodes) 185.833 * * [simplify]: iters left: 3 (317 enodes) 185.989 * * [simplify]: Extracting #0: cost 1 inf + 0 185.989 * * [simplify]: Extracting #1: cost 0 inf + 1 185.989 * [simplify]: Simplified to 0 185.989 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 185.989 * * * * [progress]: [ 214 / 2246 ] simplifiying candidate # 185.990 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 185.990 * * [simplify]: iters left: 6 (23 enodes) 185.996 * * [simplify]: iters left: 5 (91 enodes) 186.019 * * [simplify]: iters left: 4 (166 enodes) 186.071 * * [simplify]: iters left: 3 (335 enodes) 186.204 * * [simplify]: Extracting #0: cost 1 inf + 0 186.204 * * [simplify]: Extracting #1: cost 11 inf + 0 186.204 * * [simplify]: Extracting #2: cost 92 inf + 0 186.205 * * [simplify]: Extracting #3: cost 141 inf + 377 186.206 * * [simplify]: Extracting #4: cost 135 inf + 905 186.208 * * [simplify]: Extracting #5: cost 126 inf + 2161 186.216 * * [simplify]: Extracting #6: cost 57 inf + 25988 186.228 * * [simplify]: Extracting #7: cost 6 inf + 46546 186.243 * * [simplify]: Extracting #8: cost 0 inf + 48654 186.257 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 186.257 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 186.257 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 186.258 * * [simplify]: iters left: 6 (17 enodes) 186.262 * * [simplify]: iters left: 5 (66 enodes) 186.273 * * [simplify]: iters left: 4 (111 enodes) 186.296 * * [simplify]: iters left: 3 (224 enodes) 186.351 * * [simplify]: iters left: 2 (415 enodes) 186.491 * * [simplify]: Extracting #0: cost 1 inf + 0 186.491 * * [simplify]: Extracting #1: cost 0 inf + 1 186.491 * [simplify]: Simplified to 0 186.491 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 186.491 * * * * [progress]: [ 215 / 2246 ] simplifiying candidate # 186.492 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 186.492 * * [simplify]: iters left: 6 (22 enodes) 186.503 * * [simplify]: iters left: 5 (83 enodes) 186.531 * * [simplify]: iters left: 4 (155 enodes) 186.590 * * [simplify]: iters left: 3 (283 enodes) 186.709 * * [simplify]: Extracting #0: cost 1 inf + 0 186.710 * * [simplify]: Extracting #1: cost 11 inf + 0 186.710 * * [simplify]: Extracting #2: cost 83 inf + 0 186.711 * * [simplify]: Extracting #3: cost 124 inf + 126 186.712 * * [simplify]: Extracting #4: cost 110 inf + 1816 186.718 * * [simplify]: Extracting #5: cost 91 inf + 4926 186.730 * * [simplify]: Extracting #6: cost 22 inf + 30863 186.749 * * [simplify]: Extracting #7: cost 1 inf + 39039 186.767 * * [simplify]: Extracting #8: cost 0 inf + 39472 186.786 * * [simplify]: Extracting #9: cost 0 inf + 39441 186.806 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 186.806 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))))) 186.807 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1))) 186.807 * * [simplify]: iters left: 6 (16 enodes) 186.816 * * [simplify]: iters left: 5 (58 enodes) 186.835 * * [simplify]: iters left: 4 (106 enodes) 186.871 * * [simplify]: iters left: 3 (186 enodes) 186.944 * * [simplify]: iters left: 2 (342 enodes) 187.050 * * [simplify]: iters left: 1 (486 enodes) 187.236 * * [simplify]: Extracting #0: cost 1 inf + 0 187.236 * * [simplify]: Extracting #1: cost 0 inf + 1 187.236 * [simplify]: Simplified to 0 187.236 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 0))) 187.236 * * * * [progress]: [ 216 / 2246 ] simplifiying candidate # 187.237 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 187.237 * * [simplify]: iters left: 6 (24 enodes) 187.251 * * [simplify]: iters left: 5 (95 enodes) 187.280 * * [simplify]: iters left: 4 (163 enodes) 187.322 * * [simplify]: iters left: 3 (282 enodes) 187.399 * * [simplify]: iters left: 2 (485 enodes) 187.562 * * [simplify]: Extracting #0: cost 1 inf + 0 187.562 * * [simplify]: Extracting #1: cost 11 inf + 0 187.562 * * [simplify]: Extracting #2: cost 63 inf + 0 187.563 * * [simplify]: Extracting #3: cost 110 inf + 85 187.563 * * [simplify]: Extracting #4: cost 105 inf + 608 187.565 * * [simplify]: Extracting #5: cost 86 inf + 3139 187.572 * * [simplify]: Extracting #6: cost 44 inf + 14793 187.585 * * [simplify]: Extracting #7: cost 13 inf + 26523 187.594 * * [simplify]: Extracting #8: cost 0 inf + 32419 187.603 * * [simplify]: Extracting #9: cost 0 inf + 32379 187.613 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 187.614 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))))) 187.614 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1)))) 187.615 * * [simplify]: iters left: 6 (17 enodes) 187.626 * * [simplify]: iters left: 5 (66 enodes) 187.646 * * [simplify]: iters left: 4 (101 enodes) 187.682 * * [simplify]: iters left: 3 (170 enodes) 187.725 * * [simplify]: iters left: 2 (266 enodes) 187.821 * * [simplify]: iters left: 1 (380 enodes) 187.959 * * [simplify]: Extracting #0: cost 1 inf + 0 187.959 * * [simplify]: Extracting #1: cost 0 inf + 1 187.959 * [simplify]: Simplified to 0 187.959 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 187.959 * * * * [progress]: [ 217 / 2246 ] simplifiying candidate # 187.960 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 187.960 * * [simplify]: iters left: 6 (24 enodes) 187.975 * * [simplify]: iters left: 5 (95 enodes) 188.007 * * [simplify]: iters left: 4 (163 enodes) 188.061 * * [simplify]: iters left: 3 (282 enodes) 188.140 * * [simplify]: iters left: 2 (485 enodes) 188.336 * * [simplify]: Extracting #0: cost 1 inf + 0 188.336 * * [simplify]: Extracting #1: cost 11 inf + 0 188.336 * * [simplify]: Extracting #2: cost 63 inf + 0 188.337 * * [simplify]: Extracting #3: cost 110 inf + 85 188.337 * * [simplify]: Extracting #4: cost 105 inf + 608 188.338 * * [simplify]: Extracting #5: cost 86 inf + 3139 188.341 * * [simplify]: Extracting #6: cost 44 inf + 14793 188.350 * * [simplify]: Extracting #7: cost 13 inf + 26523 188.366 * * [simplify]: Extracting #8: cost 0 inf + 32419 188.375 * * [simplify]: Extracting #9: cost 0 inf + 32379 188.384 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 188.385 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))))) 188.385 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1)))) 188.386 * * [simplify]: iters left: 6 (17 enodes) 188.397 * * [simplify]: iters left: 5 (66 enodes) 188.413 * * [simplify]: iters left: 4 (101 enodes) 188.429 * * [simplify]: iters left: 3 (170 enodes) 188.467 * * [simplify]: iters left: 2 (266 enodes) 188.536 * * [simplify]: iters left: 1 (380 enodes) 188.656 * * [simplify]: Extracting #0: cost 1 inf + 0 188.657 * * [simplify]: Extracting #1: cost 0 inf + 1 188.657 * [simplify]: Simplified to 0 188.657 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 188.657 * * * * [progress]: [ 218 / 2246 ] simplifiying candidate # 188.657 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 188.658 * * [simplify]: iters left: 6 (22 enodes) 188.669 * * [simplify]: iters left: 5 (83 enodes) 188.683 * * [simplify]: iters left: 4 (155 enodes) 188.712 * * [simplify]: iters left: 3 (283 enodes) 188.786 * * [simplify]: Extracting #0: cost 1 inf + 0 188.786 * * [simplify]: Extracting #1: cost 11 inf + 0 188.786 * * [simplify]: Extracting #2: cost 83 inf + 0 188.786 * * [simplify]: Extracting #3: cost 124 inf + 126 188.787 * * [simplify]: Extracting #4: cost 110 inf + 1816 188.788 * * [simplify]: Extracting #5: cost 91 inf + 4926 188.794 * * [simplify]: Extracting #6: cost 22 inf + 30863 188.804 * * [simplify]: Extracting #7: cost 1 inf + 39039 188.815 * * [simplify]: Extracting #8: cost 0 inf + 39472 188.825 * * [simplify]: Extracting #9: cost 0 inf + 39441 188.834 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 188.834 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))))) 188.835 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1))) 188.835 * * [simplify]: iters left: 6 (16 enodes) 188.839 * * [simplify]: iters left: 5 (58 enodes) 188.852 * * [simplify]: iters left: 4 (106 enodes) 188.887 * * [simplify]: iters left: 3 (186 enodes) 188.945 * * [simplify]: iters left: 2 (342 enodes) 189.055 * * [simplify]: iters left: 1 (486 enodes) 189.210 * * [simplify]: Extracting #0: cost 1 inf + 0 189.210 * * [simplify]: Extracting #1: cost 0 inf + 1 189.210 * [simplify]: Simplified to 0 189.210 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 0))) 189.210 * * * * [progress]: [ 219 / 2246 ] simplifiying candidate # 189.211 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 189.211 * * [simplify]: iters left: 6 (23 enodes) 189.217 * * [simplify]: iters left: 5 (97 enodes) 189.242 * * [simplify]: iters left: 4 (219 enodes) 189.349 * * [simplify]: Extracting #0: cost 1 inf + 0 189.349 * * [simplify]: Extracting #1: cost 11 inf + 0 189.350 * * [simplify]: Extracting #2: cost 111 inf + 0 189.351 * * [simplify]: Extracting #3: cost 188 inf + 207 189.352 * * [simplify]: Extracting #4: cost 189 inf + 570 189.353 * * [simplify]: Extracting #5: cost 183 inf + 1571 189.355 * * [simplify]: Extracting #6: cost 166 inf + 5706 189.358 * * [simplify]: Extracting #7: cost 155 inf + 8323 189.368 * * [simplify]: Extracting #8: cost 105 inf + 31224 189.400 * * [simplify]: Extracting #9: cost 21 inf + 73435 189.441 * * [simplify]: Extracting #10: cost 0 inf + 83976 189.461 * * [simplify]: Extracting #11: cost 0 inf + 83896 189.489 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (* (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 189.489 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (* (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 189.490 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 189.490 * * [simplify]: iters left: 6 (19 enodes) 189.500 * * [simplify]: iters left: 5 (78 enodes) 189.526 * * [simplify]: iters left: 4 (164 enodes) 189.569 * * [simplify]: iters left: 3 (469 enodes) 189.971 * * [simplify]: Extracting #0: cost 1 inf + 0 189.972 * * [simplify]: Extracting #1: cost 0 inf + 1 189.972 * [simplify]: Simplified to 0 189.972 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 189.972 * * * * [progress]: [ 220 / 2246 ] simplifiying candidate # 189.973 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 189.973 * * [simplify]: iters left: 6 (24 enodes) 189.983 * * [simplify]: iters left: 5 (98 enodes) 190.018 * * [simplify]: iters left: 4 (195 enodes) 190.103 * * [simplify]: iters left: 3 (457 enodes) 190.805 * * [simplify]: Extracting #0: cost 1 inf + 0 190.805 * * [simplify]: Extracting #1: cost 11 inf + 0 190.806 * * [simplify]: Extracting #2: cost 156 inf + 0 190.808 * * [simplify]: Extracting #3: cost 276 inf + 660 190.810 * * [simplify]: Extracting #4: cost 276 inf + 1024 190.813 * * [simplify]: Extracting #5: cost 272 inf + 1792 190.822 * * [simplify]: Extracting #6: cost 198 inf + 26917 190.867 * * [simplify]: Extracting #7: cost 44 inf + 91236 190.913 * * [simplify]: Extracting #8: cost 0 inf + 111023 190.951 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 190.952 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 190.953 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 190.953 * * [simplify]: iters left: 6 (18 enodes) 190.961 * * [simplify]: iters left: 5 (73 enodes) 190.974 * * [simplify]: iters left: 4 (136 enodes) 191.019 * * [simplify]: iters left: 3 (336 enodes) 191.221 * * [simplify]: Extracting #0: cost 1 inf + 0 191.221 * * [simplify]: Extracting #1: cost 0 inf + 1 191.221 * [simplify]: Simplified to 0 191.221 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 191.222 * * * * [progress]: [ 221 / 2246 ] simplifiying candidate # 191.222 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 191.222 * * [simplify]: iters left: 6 (23 enodes) 191.228 * * [simplify]: iters left: 5 (93 enodes) 191.254 * * [simplify]: iters left: 4 (186 enodes) 191.309 * * [simplify]: iters left: 3 (418 enodes) 191.539 * * [simplify]: Extracting #0: cost 1 inf + 0 191.540 * * [simplify]: Extracting #1: cost 11 inf + 0 191.540 * * [simplify]: Extracting #2: cost 122 inf + 0 191.542 * * [simplify]: Extracting #3: cost 187 inf + 368 191.543 * * [simplify]: Extracting #4: cost 186 inf + 1025 191.545 * * [simplify]: Extracting #5: cost 174 inf + 3291 191.556 * * [simplify]: Extracting #6: cost 102 inf + 25108 191.582 * * [simplify]: Extracting #7: cost 8 inf + 62313 191.599 * * [simplify]: Extracting #8: cost 0 inf + 65490 191.620 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))))) 191.620 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 191.621 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 191.621 * * [simplify]: iters left: 6 (17 enodes) 191.630 * * [simplify]: iters left: 5 (68 enodes) 191.653 * * [simplify]: iters left: 4 (127 enodes) 191.698 * * [simplify]: iters left: 3 (292 enodes) 191.856 * * [simplify]: Extracting #0: cost 1 inf + 0 191.856 * * [simplify]: Extracting #1: cost 0 inf + 1 191.856 * [simplify]: Simplified to 0 191.856 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 191.857 * * * * [progress]: [ 222 / 2246 ] simplifiying candidate # 191.857 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 191.857 * * [simplify]: iters left: 6 (25 enodes) 191.864 * * [simplify]: iters left: 5 (102 enodes) 191.882 * * [simplify]: iters left: 4 (172 enodes) 191.944 * * [simplify]: iters left: 3 (371 enodes) 192.151 * * [simplify]: Extracting #0: cost 1 inf + 0 192.151 * * [simplify]: Extracting #1: cost 11 inf + 0 192.152 * * [simplify]: Extracting #2: cost 114 inf + 0 192.153 * * [simplify]: Extracting #3: cost 186 inf + 207 192.155 * * [simplify]: Extracting #4: cost 184 inf + 1025 192.157 * * [simplify]: Extracting #5: cost 171 inf + 3389 192.162 * * [simplify]: Extracting #6: cost 116 inf + 18071 192.175 * * [simplify]: Extracting #7: cost 36 inf + 49009 192.190 * * [simplify]: Extracting #8: cost 8 inf + 60773 192.205 * * [simplify]: Extracting #9: cost 0 inf + 64557 192.224 * * [simplify]: Extracting #10: cost 0 inf + 64517 192.253 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) 192.253 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 192.254 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 192.254 * * [simplify]: iters left: 6 (18 enodes) 192.264 * * [simplify]: iters left: 5 (73 enodes) 192.288 * * [simplify]: iters left: 4 (112 enodes) 192.330 * * [simplify]: iters left: 3 (236 enodes) 192.445 * * [simplify]: Extracting #0: cost 1 inf + 0 192.445 * * [simplify]: Extracting #1: cost 20 inf + 0 192.446 * * [simplify]: Extracting #2: cost 95 inf + 1 192.446 * * [simplify]: Extracting #3: cost 118 inf + 4 192.447 * * [simplify]: Extracting #4: cost 111 inf + 1145 192.448 * * [simplify]: Extracting #5: cost 86 inf + 6974 192.450 * * [simplify]: Extracting #6: cost 75 inf + 9748 192.452 * * [simplify]: Extracting #7: cost 70 inf + 10597 192.457 * * [simplify]: Extracting #8: cost 17 inf + 29887 192.466 * * [simplify]: Extracting #9: cost 0 inf + 36382 192.480 * * [simplify]: Extracting #10: cost 0 inf + 36332 192.498 * [simplify]: Simplified to (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 192.498 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) 192.498 * * * * [progress]: [ 223 / 2246 ] simplifiying candidate # 192.499 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 192.499 * * [simplify]: iters left: 6 (25 enodes) 192.509 * * [simplify]: iters left: 5 (102 enodes) 192.528 * * [simplify]: iters left: 4 (172 enodes) 192.561 * * [simplify]: iters left: 3 (371 enodes) 192.684 * * [simplify]: Extracting #0: cost 1 inf + 0 192.684 * * [simplify]: Extracting #1: cost 11 inf + 0 192.684 * * [simplify]: Extracting #2: cost 114 inf + 0 192.685 * * [simplify]: Extracting #3: cost 186 inf + 207 192.686 * * [simplify]: Extracting #4: cost 184 inf + 1025 192.687 * * [simplify]: Extracting #5: cost 171 inf + 3389 192.690 * * [simplify]: Extracting #6: cost 116 inf + 18071 192.701 * * [simplify]: Extracting #7: cost 36 inf + 49009 192.725 * * [simplify]: Extracting #8: cost 8 inf + 60773 192.743 * * [simplify]: Extracting #9: cost 0 inf + 64557 192.771 * * [simplify]: Extracting #10: cost 0 inf + 64517 192.788 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) 192.789 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 192.789 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 192.789 * * [simplify]: iters left: 6 (18 enodes) 192.795 * * [simplify]: iters left: 5 (73 enodes) 192.808 * * [simplify]: iters left: 4 (112 enodes) 192.843 * * [simplify]: iters left: 3 (236 enodes) 192.953 * * [simplify]: Extracting #0: cost 1 inf + 0 192.953 * * [simplify]: Extracting #1: cost 20 inf + 0 192.953 * * [simplify]: Extracting #2: cost 95 inf + 1 192.954 * * [simplify]: Extracting #3: cost 118 inf + 4 192.954 * * [simplify]: Extracting #4: cost 111 inf + 1145 192.956 * * [simplify]: Extracting #5: cost 86 inf + 6974 192.958 * * [simplify]: Extracting #6: cost 75 inf + 9748 192.960 * * [simplify]: Extracting #7: cost 70 inf + 10597 192.965 * * [simplify]: Extracting #8: cost 17 inf + 29887 192.975 * * [simplify]: Extracting #9: cost 0 inf + 36382 192.993 * * [simplify]: Extracting #10: cost 0 inf + 36332 193.011 * [simplify]: Simplified to (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 193.011 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) 193.011 * * * * [progress]: [ 224 / 2246 ] simplifiying candidate # 193.012 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 193.012 * * [simplify]: iters left: 6 (23 enodes) 193.024 * * [simplify]: iters left: 5 (93 enodes) 193.058 * * [simplify]: iters left: 4 (186 enodes) 193.141 * * [simplify]: iters left: 3 (418 enodes) 193.388 * * [simplify]: Extracting #0: cost 1 inf + 0 193.389 * * [simplify]: Extracting #1: cost 11 inf + 0 193.389 * * [simplify]: Extracting #2: cost 122 inf + 0 193.390 * * [simplify]: Extracting #3: cost 187 inf + 368 193.391 * * [simplify]: Extracting #4: cost 186 inf + 1025 193.395 * * [simplify]: Extracting #5: cost 174 inf + 3291 193.401 * * [simplify]: Extracting #6: cost 102 inf + 25108 193.423 * * [simplify]: Extracting #7: cost 8 inf + 62313 193.455 * * [simplify]: Extracting #8: cost 0 inf + 65490 193.485 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))))) 193.485 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 193.485 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 193.485 * * [simplify]: iters left: 6 (17 enodes) 193.490 * * [simplify]: iters left: 5 (68 enodes) 193.502 * * [simplify]: iters left: 4 (127 enodes) 193.552 * * [simplify]: iters left: 3 (292 enodes) 193.723 * * [simplify]: Extracting #0: cost 1 inf + 0 193.723 * * [simplify]: Extracting #1: cost 0 inf + 1 193.723 * [simplify]: Simplified to 0 193.724 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 193.724 * * * * [progress]: [ 225 / 2246 ] simplifiying candidate # 193.724 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 193.724 * * [simplify]: iters left: 6 (22 enodes) 193.730 * * [simplify]: iters left: 5 (92 enodes) 193.754 * * [simplify]: iters left: 4 (204 enodes) 193.807 * * [simplify]: iters left: 3 (486 enodes) 194.036 * * [simplify]: Extracting #0: cost 1 inf + 0 194.036 * * [simplify]: Extracting #1: cost 11 inf + 0 194.037 * * [simplify]: Extracting #2: cost 167 inf + 0 194.038 * * [simplify]: Extracting #3: cost 310 inf + 207 194.039 * * [simplify]: Extracting #4: cost 308 inf + 1024 194.041 * * [simplify]: Extracting #5: cost 301 inf + 2044 194.042 * * [simplify]: Extracting #6: cost 285 inf + 4880 194.045 * * [simplify]: Extracting #7: cost 279 inf + 6085 194.051 * * [simplify]: Extracting #8: cost 214 inf + 33711 194.084 * * [simplify]: Extracting #9: cost 41 inf + 115528 194.135 * * [simplify]: Extracting #10: cost 0 inf + 134315 194.179 * * [simplify]: Extracting #11: cost 0 inf + 134273 194.253 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ (/ -1/2 (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 194.253 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ (/ -1/2 (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 194.254 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 194.254 * * [simplify]: iters left: 6 (18 enodes) 194.263 * * [simplify]: iters left: 5 (73 enodes) 194.289 * * [simplify]: iters left: 4 (149 enodes) 194.337 * * [simplify]: iters left: 3 (359 enodes) 194.558 * * [simplify]: Extracting #0: cost 1 inf + 0 194.558 * * [simplify]: Extracting #1: cost 0 inf + 1 194.558 * [simplify]: Simplified to 0 194.558 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 194.558 * * * * [progress]: [ 226 / 2246 ] simplifiying candidate # 194.559 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 194.559 * * [simplify]: iters left: 6 (23 enodes) 194.570 * * [simplify]: iters left: 5 (92 enodes) 194.590 * * [simplify]: iters left: 4 (180 enodes) 194.643 * * [simplify]: iters left: 3 (383 enodes) 194.856 * * [simplify]: Extracting #0: cost 1 inf + 0 194.856 * * [simplify]: Extracting #1: cost 11 inf + 0 194.857 * * [simplify]: Extracting #2: cost 138 inf + 0 194.858 * * [simplify]: Extracting #3: cost 220 inf + 207 194.859 * * [simplify]: Extracting #4: cost 218 inf + 1024 194.860 * * [simplify]: Extracting #5: cost 212 inf + 1786 194.861 * * [simplify]: Extracting #6: cost 189 inf + 5651 194.865 * * [simplify]: Extracting #7: cost 147 inf + 21149 194.882 * * [simplify]: Extracting #8: cost 18 inf + 73663 194.920 * * [simplify]: Extracting #9: cost 0 inf + 80810 194.945 * * [simplify]: Extracting #10: cost 0 inf + 80770 194.966 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ -1/2 (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (hypot 1 x)) (sqrt (hypot 1 x)))))) 194.966 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ -1/2 (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (hypot 1 x)) (sqrt (hypot 1 x)))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 194.967 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 194.967 * * [simplify]: iters left: 6 (17 enodes) 194.972 * * [simplify]: iters left: 5 (67 enodes) 194.987 * * [simplify]: iters left: 4 (121 enodes) 195.037 * * [simplify]: iters left: 3 (261 enodes) 195.159 * * [simplify]: Extracting #0: cost 1 inf + 0 195.159 * * [simplify]: Extracting #1: cost 0 inf + 1 195.159 * [simplify]: Simplified to 0 195.159 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 195.160 * * * * [progress]: [ 227 / 2246 ] simplifiying candidate # 195.160 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 195.160 * * [simplify]: iters left: 6 (22 enodes) 195.166 * * [simplify]: iters left: 5 (88 enodes) 195.199 * * [simplify]: iters left: 4 (166 enodes) 195.244 * * [simplify]: iters left: 3 (334 enodes) 195.408 * * [simplify]: Extracting #0: cost 1 inf + 0 195.408 * * [simplify]: Extracting #1: cost 11 inf + 0 195.408 * * [simplify]: Extracting #2: cost 112 inf + 0 195.409 * * [simplify]: Extracting #3: cost 155 inf + 368 195.409 * * [simplify]: Extracting #4: cost 154 inf + 1025 195.410 * * [simplify]: Extracting #5: cost 154 inf + 1083 195.411 * * [simplify]: Extracting #6: cost 138 inf + 3541 195.413 * * [simplify]: Extracting #7: cost 119 inf + 6836 195.419 * * [simplify]: Extracting #8: cost 47 inf + 32821 195.432 * * [simplify]: Extracting #9: cost 1 inf + 50909 195.445 * * [simplify]: Extracting #10: cost 0 inf + 51268 195.464 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (hypot 1 x)))) 195.464 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (hypot 1 x)))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))))) 195.465 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1))) 195.465 * * [simplify]: iters left: 6 (16 enodes) 195.473 * * [simplify]: iters left: 5 (63 enodes) 195.499 * * [simplify]: iters left: 4 (109 enodes) 195.533 * * [simplify]: iters left: 3 (230 enodes) 195.643 * * [simplify]: Extracting #0: cost 1 inf + 0 195.643 * * [simplify]: Extracting #1: cost 0 inf + 1 195.643 * [simplify]: Simplified to 0 195.643 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 0))) 195.643 * * * * [progress]: [ 228 / 2246 ] simplifiying candidate # 195.644 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 195.644 * * [simplify]: iters left: 6 (24 enodes) 195.657 * * [simplify]: iters left: 5 (97 enodes) 195.684 * * [simplify]: iters left: 4 (162 enodes) 195.717 * * [simplify]: iters left: 3 (340 enodes) 195.856 * * [simplify]: Extracting #0: cost 1 inf + 0 195.856 * * [simplify]: Extracting #1: cost 11 inf + 0 195.856 * * [simplify]: Extracting #2: cost 100 inf + 0 195.857 * * [simplify]: Extracting #3: cost 147 inf + 368 195.857 * * [simplify]: Extracting #4: cost 146 inf + 1025 195.858 * * [simplify]: Extracting #5: cost 146 inf + 1083 195.859 * * [simplify]: Extracting #6: cost 125 inf + 4429 195.862 * * [simplify]: Extracting #7: cost 76 inf + 17118 195.874 * * [simplify]: Extracting #8: cost 16 inf + 40807 195.888 * * [simplify]: Extracting #9: cost 0 inf + 48527 195.909 * * [simplify]: Extracting #10: cost 0 inf + 48367 195.921 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ -1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) 195.921 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ -1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))))) 195.921 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)))) 195.921 * * [simplify]: iters left: 6 (17 enodes) 195.927 * * [simplify]: iters left: 5 (68 enodes) 195.942 * * [simplify]: iters left: 4 (102 enodes) 195.965 * * [simplify]: iters left: 3 (202 enodes) 196.057 * * [simplify]: iters left: 2 (433 enodes) 196.346 * * [simplify]: Extracting #0: cost 1 inf + 0 196.346 * * [simplify]: Extracting #1: cost 0 inf + 1 196.346 * [simplify]: Simplified to 0 196.346 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 196.346 * * * * [progress]: [ 229 / 2246 ] simplifiying candidate # 196.347 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 196.347 * * [simplify]: iters left: 6 (24 enodes) 196.360 * * [simplify]: iters left: 5 (97 enodes) 196.390 * * [simplify]: iters left: 4 (162 enodes) 196.451 * * [simplify]: iters left: 3 (340 enodes) 196.601 * * [simplify]: Extracting #0: cost 1 inf + 0 196.602 * * [simplify]: Extracting #1: cost 11 inf + 0 196.602 * * [simplify]: Extracting #2: cost 100 inf + 0 196.602 * * [simplify]: Extracting #3: cost 147 inf + 368 196.603 * * [simplify]: Extracting #4: cost 146 inf + 1025 196.603 * * [simplify]: Extracting #5: cost 146 inf + 1083 196.604 * * [simplify]: Extracting #6: cost 125 inf + 4429 196.608 * * [simplify]: Extracting #7: cost 76 inf + 17118 196.618 * * [simplify]: Extracting #8: cost 16 inf + 40807 196.641 * * [simplify]: Extracting #9: cost 0 inf + 48527 196.665 * * [simplify]: Extracting #10: cost 0 inf + 48367 196.688 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ -1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) 196.688 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ -1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))))) 196.689 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)))) 196.689 * * [simplify]: iters left: 6 (17 enodes) 196.702 * * [simplify]: iters left: 5 (68 enodes) 196.721 * * [simplify]: iters left: 4 (102 enodes) 196.742 * * [simplify]: iters left: 3 (202 enodes) 196.812 * * [simplify]: iters left: 2 (433 enodes) 197.124 * * [simplify]: Extracting #0: cost 1 inf + 0 197.124 * * [simplify]: Extracting #1: cost 0 inf + 1 197.124 * [simplify]: Simplified to 0 197.124 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 197.125 * * * * [progress]: [ 230 / 2246 ] simplifiying candidate # 197.125 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 197.125 * * [simplify]: iters left: 6 (22 enodes) 197.137 * * [simplify]: iters left: 5 (88 enodes) 197.171 * * [simplify]: iters left: 4 (166 enodes) 197.210 * * [simplify]: iters left: 3 (334 enodes) 197.389 * * [simplify]: Extracting #0: cost 1 inf + 0 197.389 * * [simplify]: Extracting #1: cost 11 inf + 0 197.390 * * [simplify]: Extracting #2: cost 112 inf + 0 197.391 * * [simplify]: Extracting #3: cost 155 inf + 368 197.392 * * [simplify]: Extracting #4: cost 154 inf + 1025 197.394 * * [simplify]: Extracting #5: cost 154 inf + 1083 197.396 * * [simplify]: Extracting #6: cost 138 inf + 3541 197.399 * * [simplify]: Extracting #7: cost 119 inf + 6836 197.412 * * [simplify]: Extracting #8: cost 47 inf + 32821 197.431 * * [simplify]: Extracting #9: cost 1 inf + 50909 197.444 * * [simplify]: Extracting #10: cost 0 inf + 51268 197.457 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (hypot 1 x)))) 197.457 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (hypot 1 x)))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))))) 197.458 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1))) 197.458 * * [simplify]: iters left: 6 (16 enodes) 197.463 * * [simplify]: iters left: 5 (63 enodes) 197.485 * * [simplify]: iters left: 4 (109 enodes) 197.513 * * [simplify]: iters left: 3 (230 enodes) 197.615 * * [simplify]: Extracting #0: cost 1 inf + 0 197.615 * * [simplify]: Extracting #1: cost 0 inf + 1 197.615 * [simplify]: Simplified to 0 197.615 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 0))) 197.615 * * * * [progress]: [ 231 / 2246 ] simplifiying candidate # 197.615 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 197.616 * * [simplify]: iters left: 6 (20 enodes) 197.622 * * [simplify]: iters left: 5 (82 enodes) 197.656 * * [simplify]: iters left: 4 (176 enodes) 197.700 * * [simplify]: iters left: 3 (398 enodes) 197.874 * * [simplify]: Extracting #0: cost 1 inf + 0 197.874 * * [simplify]: Extracting #1: cost 11 inf + 0 197.875 * * [simplify]: Extracting #2: cost 130 inf + 0 197.876 * * [simplify]: Extracting #3: cost 197 inf + 660 197.883 * * [simplify]: Extracting #4: cost 188 inf + 1554 197.885 * * [simplify]: Extracting #5: cost 187 inf + 1848 197.890 * * [simplify]: Extracting #6: cost 158 inf + 13035 197.920 * * [simplify]: Extracting #7: cost 31 inf + 66346 197.945 * * [simplify]: Extracting #8: cost 0 inf + 79836 197.967 * * [simplify]: Extracting #9: cost 0 inf + 79796 198.006 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 198.006 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 198.007 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 198.007 * * [simplify]: iters left: 6 (16 enodes) 198.015 * * [simplify]: iters left: 5 (63 enodes) 198.040 * * [simplify]: iters left: 4 (123 enodes) 198.087 * * [simplify]: iters left: 3 (281 enodes) 198.236 * * [simplify]: Extracting #0: cost 1 inf + 0 198.236 * * [simplify]: Extracting #1: cost 0 inf + 1 198.236 * [simplify]: Simplified to 0 198.236 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 198.236 * * * * [progress]: [ 232 / 2246 ] simplifiying candidate # 198.236 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 198.236 * * [simplify]: iters left: 6 (21 enodes) 198.242 * * [simplify]: iters left: 5 (83 enodes) 198.257 * * [simplify]: iters left: 4 (158 enodes) 198.295 * * [simplify]: iters left: 3 (309 enodes) 198.383 * * [simplify]: Extracting #0: cost 1 inf + 0 198.383 * * [simplify]: Extracting #1: cost 11 inf + 0 198.384 * * [simplify]: Extracting #2: cost 96 inf + 0 198.385 * * [simplify]: Extracting #3: cost 135 inf + 207 198.386 * * [simplify]: Extracting #4: cost 128 inf + 1116 198.387 * * [simplify]: Extracting #5: cost 121 inf + 2042 198.391 * * [simplify]: Extracting #6: cost 88 inf + 11685 198.402 * * [simplify]: Extracting #7: cost 18 inf + 39343 198.414 * * [simplify]: Extracting #8: cost 0 inf + 46871 198.431 * * [simplify]: Extracting #9: cost 0 inf + 46791 198.453 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 198.453 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 198.454 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 198.454 * * [simplify]: iters left: 6 (15 enodes) 198.462 * * [simplify]: iters left: 5 (58 enodes) 198.484 * * [simplify]: iters left: 4 (101 enodes) 198.507 * * [simplify]: iters left: 3 (184 enodes) 198.580 * * [simplify]: iters left: 2 (365 enodes) 198.751 * * [simplify]: Extracting #0: cost 1 inf + 0 198.751 * * [simplify]: Extracting #1: cost 0 inf + 1 198.751 * [simplify]: Simplified to 0 198.751 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 198.751 * * * * [progress]: [ 233 / 2246 ] simplifiying candidate # 198.752 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 198.752 * * [simplify]: iters left: 6 (20 enodes) 198.763 * * [simplify]: iters left: 5 (77 enodes) 198.789 * * [simplify]: iters left: 4 (124 enodes) 198.832 * * [simplify]: iters left: 3 (212 enodes) 198.893 * * [simplify]: iters left: 2 (320 enodes) 198.969 * * [simplify]: iters left: 1 (442 enodes) 199.194 * * [simplify]: Extracting #0: cost 1 inf + 0 199.194 * * [simplify]: Extracting #1: cost 10 inf + 0 199.194 * * [simplify]: Extracting #2: cost 179 inf + 2 199.196 * * [simplify]: Extracting #3: cost 269 inf + 695 199.197 * * [simplify]: Extracting #4: cost 252 inf + 3188 199.199 * * [simplify]: Extracting #5: cost 230 inf + 6862 199.208 * * [simplify]: Extracting #6: cost 124 inf + 46724 199.244 * * [simplify]: Extracting #7: cost 13 inf + 99033 199.279 * * [simplify]: Extracting #8: cost 0 inf + 106047 199.326 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 199.326 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))))) 199.327 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1))) 199.327 * * [simplify]: iters left: 6 (14 enodes) 199.334 * * [simplify]: iters left: 5 (51 enodes) 199.352 * * [simplify]: iters left: 4 (77 enodes) 199.376 * * [simplify]: iters left: 3 (112 enodes) 199.415 * * [simplify]: iters left: 2 (165 enodes) 199.443 * * [simplify]: iters left: 1 (238 enodes) 199.541 * * [simplify]: Extracting #0: cost 1 inf + 0 199.541 * * [simplify]: Extracting #1: cost 0 inf + 1 199.541 * [simplify]: Simplified to 0 199.541 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 199.542 * * * * [progress]: [ 234 / 2246 ] simplifiying candidate # 199.542 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 199.542 * * [simplify]: iters left: 6 (22 enodes) 199.554 * * [simplify]: iters left: 5 (87 enodes) 199.585 * * [simplify]: iters left: 4 (152 enodes) 199.612 * * [simplify]: iters left: 3 (252 enodes) 199.670 * * [simplify]: iters left: 2 (377 enodes) 199.797 * * [simplify]: Extracting #0: cost 1 inf + 0 199.797 * * [simplify]: Extracting #1: cost 9 inf + 0 199.797 * * [simplify]: Extracting #2: cost 60 inf + 2 199.797 * * [simplify]: Extracting #3: cost 102 inf + 86 199.798 * * [simplify]: Extracting #4: cost 100 inf + 682 199.799 * * [simplify]: Extracting #5: cost 88 inf + 2081 199.801 * * [simplify]: Extracting #6: cost 59 inf + 9363 199.809 * * [simplify]: Extracting #7: cost 12 inf + 25939 199.817 * * [simplify]: Extracting #8: cost 0 inf + 31097 199.825 * * [simplify]: Extracting #9: cost 0 inf + 31057 199.833 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 199.833 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))))) 199.834 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1)))) 199.834 * * [simplify]: iters left: 6 (15 enodes) 199.839 * * [simplify]: iters left: 5 (58 enodes) 199.851 * * [simplify]: iters left: 4 (94 enodes) 199.867 * * [simplify]: iters left: 3 (132 enodes) 199.888 * * [simplify]: iters left: 2 (179 enodes) 199.944 * * [simplify]: iters left: 1 (300 enodes) 200.035 * * [simplify]: Extracting #0: cost 1 inf + 0 200.035 * * [simplify]: Extracting #1: cost 0 inf + 1 200.035 * [simplify]: Simplified to 0 200.035 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 200.036 * * * * [progress]: [ 235 / 2246 ] simplifiying candidate # 200.036 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 200.036 * * [simplify]: iters left: 6 (22 enodes) 200.044 * * [simplify]: iters left: 5 (87 enodes) 200.069 * * [simplify]: iters left: 4 (152 enodes) 200.104 * * [simplify]: iters left: 3 (252 enodes) 200.157 * * [simplify]: iters left: 2 (377 enodes) 200.321 * * [simplify]: Extracting #0: cost 1 inf + 0 200.321 * * [simplify]: Extracting #1: cost 9 inf + 0 200.321 * * [simplify]: Extracting #2: cost 60 inf + 2 200.322 * * [simplify]: Extracting #3: cost 102 inf + 86 200.322 * * [simplify]: Extracting #4: cost 100 inf + 682 200.323 * * [simplify]: Extracting #5: cost 88 inf + 2081 200.325 * * [simplify]: Extracting #6: cost 59 inf + 9363 200.330 * * [simplify]: Extracting #7: cost 12 inf + 25939 200.338 * * [simplify]: Extracting #8: cost 0 inf + 31097 200.348 * * [simplify]: Extracting #9: cost 0 inf + 31057 200.361 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 200.361 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))))) 200.362 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1)))) 200.362 * * [simplify]: iters left: 6 (15 enodes) 200.371 * * [simplify]: iters left: 5 (58 enodes) 200.393 * * [simplify]: iters left: 4 (94 enodes) 200.412 * * [simplify]: iters left: 3 (132 enodes) 200.435 * * [simplify]: iters left: 2 (179 enodes) 200.485 * * [simplify]: iters left: 1 (300 enodes) 200.644 * * [simplify]: Extracting #0: cost 1 inf + 0 200.644 * * [simplify]: Extracting #1: cost 0 inf + 1 200.644 * [simplify]: Simplified to 0 200.644 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 200.644 * * * * [progress]: [ 236 / 2246 ] simplifiying candidate # 200.644 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 200.644 * * [simplify]: iters left: 6 (20 enodes) 200.653 * * [simplify]: iters left: 5 (77 enodes) 200.669 * * [simplify]: iters left: 4 (124 enodes) 200.694 * * [simplify]: iters left: 3 (212 enodes) 200.744 * * [simplify]: iters left: 2 (320 enodes) 200.822 * * [simplify]: iters left: 1 (442 enodes) 201.074 * * [simplify]: Extracting #0: cost 1 inf + 0 201.074 * * [simplify]: Extracting #1: cost 10 inf + 0 201.074 * * [simplify]: Extracting #2: cost 179 inf + 2 201.081 * * [simplify]: Extracting #3: cost 269 inf + 695 201.084 * * [simplify]: Extracting #4: cost 252 inf + 3188 201.088 * * [simplify]: Extracting #5: cost 230 inf + 6862 201.104 * * [simplify]: Extracting #6: cost 124 inf + 46724 201.137 * * [simplify]: Extracting #7: cost 13 inf + 99033 201.162 * * [simplify]: Extracting #8: cost 0 inf + 106047 201.209 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 201.209 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))))) 201.210 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1))) 201.210 * * [simplify]: iters left: 6 (14 enodes) 201.215 * * [simplify]: iters left: 5 (51 enodes) 201.226 * * [simplify]: iters left: 4 (77 enodes) 201.240 * * [simplify]: iters left: 3 (112 enodes) 201.269 * * [simplify]: iters left: 2 (165 enodes) 201.296 * * [simplify]: iters left: 1 (238 enodes) 201.363 * * [simplify]: Extracting #0: cost 1 inf + 0 201.363 * * [simplify]: Extracting #1: cost 0 inf + 1 201.363 * [simplify]: Simplified to 0 201.364 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 201.364 * * * * [progress]: [ 237 / 2246 ] simplifiying candidate # 201.364 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 201.364 * * [simplify]: iters left: 6 (19 enodes) 201.369 * * [simplify]: iters left: 5 (81 enodes) 201.392 * * [simplify]: iters left: 4 (171 enodes) 201.464 * * [simplify]: iters left: 3 (376 enodes) 201.610 * * [simplify]: Extracting #0: cost 1 inf + 0 201.610 * * [simplify]: Extracting #1: cost 11 inf + 0 201.610 * * [simplify]: Extracting #2: cost 128 inf + 0 201.611 * * [simplify]: Extracting #3: cost 186 inf + 207 201.612 * * [simplify]: Extracting #4: cost 176 inf + 1498 201.612 * * [simplify]: Extracting #5: cost 174 inf + 1848 201.617 * * [simplify]: Extracting #6: cost 133 inf + 18712 201.641 * * [simplify]: Extracting #7: cost 17 inf + 67712 201.667 * * [simplify]: Extracting #8: cost 0 inf + 74812 201.707 * * [simplify]: Extracting #9: cost 0 inf + 74797 201.741 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 201.741 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 201.741 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 201.741 * * [simplify]: iters left: 6 (15 enodes) 201.746 * * [simplify]: iters left: 5 (62 enodes) 201.758 * * [simplify]: iters left: 4 (118 enodes) 201.790 * * [simplify]: iters left: 3 (252 enodes) 201.919 * * [simplify]: Extracting #0: cost 1 inf + 0 201.919 * * [simplify]: Extracting #1: cost 0 inf + 1 201.920 * [simplify]: Simplified to 0 201.920 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 201.920 * * * * [progress]: [ 238 / 2246 ] simplifiying candidate # 201.921 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 201.921 * * [simplify]: iters left: 6 (20 enodes) 201.930 * * [simplify]: iters left: 5 (82 enodes) 201.946 * * [simplify]: iters left: 4 (155 enodes) 201.985 * * [simplify]: iters left: 3 (307 enodes) 202.102 * * [simplify]: Extracting #0: cost 1 inf + 0 202.102 * * [simplify]: Extracting #1: cost 11 inf + 0 202.102 * * [simplify]: Extracting #2: cost 96 inf + 0 202.103 * * [simplify]: Extracting #3: cost 131 inf + 660 202.104 * * [simplify]: Extracting #4: cost 124 inf + 1335 202.106 * * [simplify]: Extracting #5: cost 118 inf + 2260 202.114 * * [simplify]: Extracting #6: cost 60 inf + 23319 202.135 * * [simplify]: Extracting #7: cost 7 inf + 43694 202.157 * * [simplify]: Extracting #8: cost 0 inf + 46074 202.177 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 202.177 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 202.178 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 202.178 * * [simplify]: iters left: 6 (14 enodes) 202.181 * * [simplify]: iters left: 5 (57 enodes) 202.192 * * [simplify]: iters left: 4 (98 enodes) 202.220 * * [simplify]: iters left: 3 (181 enodes) 202.285 * * [simplify]: iters left: 2 (360 enodes) 202.459 * * [simplify]: Extracting #0: cost 1 inf + 0 202.459 * * [simplify]: Extracting #1: cost 0 inf + 1 202.459 * [simplify]: Simplified to 0 202.459 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 202.459 * * * * [progress]: [ 239 / 2246 ] simplifiying candidate # 202.459 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 202.459 * * [simplify]: iters left: 6 (19 enodes) 202.465 * * [simplify]: iters left: 5 (76 enodes) 202.488 * * [simplify]: iters left: 4 (123 enodes) 202.510 * * [simplify]: iters left: 3 (211 enodes) 202.578 * * [simplify]: iters left: 2 (319 enodes) 202.650 * * [simplify]: iters left: 1 (441 enodes) 202.909 * * [simplify]: Extracting #0: cost 1 inf + 0 202.909 * * [simplify]: Extracting #1: cost 10 inf + 0 202.910 * * [simplify]: Extracting #2: cost 179 inf + 2 202.912 * * [simplify]: Extracting #3: cost 269 inf + 613 202.914 * * [simplify]: Extracting #4: cost 252 inf + 2930 202.918 * * [simplify]: Extracting #5: cost 231 inf + 6266 202.930 * * [simplify]: Extracting #6: cost 153 inf + 35148 202.969 * * [simplify]: Extracting #7: cost 13 inf + 99791 203.015 * * [simplify]: Extracting #8: cost 0 inf + 105748 203.066 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 203.066 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))))) 203.066 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1))) 203.066 * * [simplify]: iters left: 6 (13 enodes) 203.073 * * [simplify]: iters left: 5 (50 enodes) 203.091 * * [simplify]: iters left: 4 (76 enodes) 203.114 * * [simplify]: iters left: 3 (111 enodes) 203.131 * * [simplify]: iters left: 2 (147 enodes) 203.171 * * [simplify]: iters left: 1 (234 enodes) 203.241 * * [simplify]: Extracting #0: cost 1 inf + 0 203.241 * * [simplify]: Extracting #1: cost 0 inf + 1 203.241 * [simplify]: Simplified to 0 203.241 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 203.242 * * * * [progress]: [ 240 / 2246 ] simplifiying candidate # 203.242 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 203.242 * * [simplify]: iters left: 6 (21 enodes) 203.255 * * [simplify]: iters left: 5 (86 enodes) 203.279 * * [simplify]: iters left: 4 (136 enodes) 203.305 * * [simplify]: iters left: 3 (240 enodes) 203.390 * * [simplify]: iters left: 2 (393 enodes) 203.528 * * [simplify]: Extracting #0: cost 1 inf + 0 203.528 * * [simplify]: Extracting #1: cost 9 inf + 0 203.528 * * [simplify]: Extracting #2: cost 64 inf + 2 203.529 * * [simplify]: Extracting #3: cost 106 inf + 86 203.529 * * [simplify]: Extracting #4: cost 101 inf + 763 203.530 * * [simplify]: Extracting #5: cost 88 inf + 2237 203.532 * * [simplify]: Extracting #6: cost 63 inf + 8352 203.544 * * [simplify]: Extracting #7: cost 7 inf + 27741 203.559 * * [simplify]: Extracting #8: cost 0 inf + 31039 203.571 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 203.571 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))))) 203.572 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1)))) 203.572 * * [simplify]: iters left: 6 (14 enodes) 203.577 * * [simplify]: iters left: 5 (57 enodes) 203.589 * * [simplify]: iters left: 4 (93 enodes) 203.609 * * [simplify]: iters left: 3 (131 enodes) 203.648 * * [simplify]: iters left: 2 (178 enodes) 203.722 * * [simplify]: iters left: 1 (299 enodes) 203.831 * * [simplify]: Extracting #0: cost 1 inf + 0 203.831 * * [simplify]: Extracting #1: cost 0 inf + 1 203.831 * [simplify]: Simplified to 0 203.831 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 203.831 * * * * [progress]: [ 241 / 2246 ] simplifiying candidate # 203.832 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 203.832 * * [simplify]: iters left: 6 (21 enodes) 203.844 * * [simplify]: iters left: 5 (86 enodes) 203.859 * * [simplify]: iters left: 4 (136 enodes) 203.888 * * [simplify]: iters left: 3 (240 enodes) 203.949 * * [simplify]: iters left: 2 (393 enodes) 204.073 * * [simplify]: Extracting #0: cost 1 inf + 0 204.073 * * [simplify]: Extracting #1: cost 9 inf + 0 204.073 * * [simplify]: Extracting #2: cost 64 inf + 2 204.074 * * [simplify]: Extracting #3: cost 106 inf + 86 204.075 * * [simplify]: Extracting #4: cost 101 inf + 763 204.076 * * [simplify]: Extracting #5: cost 88 inf + 2237 204.083 * * [simplify]: Extracting #6: cost 63 inf + 8352 204.095 * * [simplify]: Extracting #7: cost 7 inf + 27741 204.112 * * [simplify]: Extracting #8: cost 0 inf + 31039 204.126 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 204.126 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))))) 204.126 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1)))) 204.126 * * [simplify]: iters left: 6 (14 enodes) 204.131 * * [simplify]: iters left: 5 (57 enodes) 204.143 * * [simplify]: iters left: 4 (93 enodes) 204.159 * * [simplify]: iters left: 3 (131 enodes) 204.193 * * [simplify]: iters left: 2 (178 enodes) 204.267 * * [simplify]: iters left: 1 (299 enodes) 204.403 * * [simplify]: Extracting #0: cost 1 inf + 0 204.403 * * [simplify]: Extracting #1: cost 0 inf + 1 204.403 * [simplify]: Simplified to 0 204.403 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 204.403 * * * * [progress]: [ 242 / 2246 ] simplifiying candidate # 204.404 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 204.404 * * [simplify]: iters left: 6 (19 enodes) 204.409 * * [simplify]: iters left: 5 (76 enodes) 204.427 * * [simplify]: iters left: 4 (123 enodes) 204.468 * * [simplify]: iters left: 3 (211 enodes) 204.512 * * [simplify]: iters left: 2 (319 enodes) 204.603 * * [simplify]: iters left: 1 (441 enodes) 204.887 * * [simplify]: Extracting #0: cost 1 inf + 0 204.887 * * [simplify]: Extracting #1: cost 10 inf + 0 204.888 * * [simplify]: Extracting #2: cost 179 inf + 2 204.890 * * [simplify]: Extracting #3: cost 269 inf + 613 204.893 * * [simplify]: Extracting #4: cost 252 inf + 2930 204.896 * * [simplify]: Extracting #5: cost 231 inf + 6266 204.902 * * [simplify]: Extracting #6: cost 153 inf + 35148 204.922 * * [simplify]: Extracting #7: cost 13 inf + 99791 204.967 * * [simplify]: Extracting #8: cost 0 inf + 105748 205.012 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 205.012 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))))) 205.013 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1))) 205.013 * * [simplify]: iters left: 6 (13 enodes) 205.020 * * [simplify]: iters left: 5 (50 enodes) 205.040 * * [simplify]: iters left: 4 (76 enodes) 205.064 * * [simplify]: iters left: 3 (111 enodes) 205.092 * * [simplify]: iters left: 2 (147 enodes) 205.118 * * [simplify]: iters left: 1 (234 enodes) 205.192 * * [simplify]: Extracting #0: cost 1 inf + 0 205.192 * * [simplify]: Extracting #1: cost 0 inf + 1 205.192 * [simplify]: Simplified to 0 205.193 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 205.193 * * * * [progress]: [ 243 / 2246 ] simplifiying candidate # 205.193 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 205.193 * * [simplify]: iters left: 6 (20 enodes) 205.199 * * [simplify]: iters left: 5 (84 enodes) 205.218 * * [simplify]: iters left: 4 (178 enodes) 205.270 * * [simplify]: iters left: 3 (358 enodes) 205.393 * * [simplify]: Extracting #0: cost 1 inf + 0 205.393 * * [simplify]: Extracting #1: cost 11 inf + 0 205.394 * * [simplify]: Extracting #2: cost 113 inf + 0 205.395 * * [simplify]: Extracting #3: cost 186 inf + 207 205.397 * * [simplify]: Extracting #4: cost 173 inf + 1766 205.399 * * [simplify]: Extracting #5: cost 167 inf + 2666 205.405 * * [simplify]: Extracting #6: cost 130 inf + 17615 205.436 * * [simplify]: Extracting #7: cost 24 inf + 62029 205.475 * * [simplify]: Extracting #8: cost 0 inf + 72227 205.509 * * [simplify]: Extracting #9: cost 0 inf + 72169 205.536 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 205.536 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 205.537 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 205.537 * * [simplify]: iters left: 6 (16 enodes) 205.545 * * [simplify]: iters left: 5 (65 enodes) 205.571 * * [simplify]: iters left: 4 (125 enodes) 205.619 * * [simplify]: iters left: 3 (242 enodes) 205.699 * * [simplify]: Extracting #0: cost 1 inf + 0 205.699 * * [simplify]: Extracting #1: cost 0 inf + 1 205.699 * [simplify]: Simplified to 0 205.699 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 205.700 * * * * [progress]: [ 244 / 2246 ] simplifiying candidate # 205.700 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 205.700 * * [simplify]: iters left: 6 (21 enodes) 205.706 * * [simplify]: iters left: 5 (85 enodes) 205.721 * * [simplify]: iters left: 4 (160 enodes) 205.765 * * [simplify]: iters left: 3 (281 enodes) 205.855 * * [simplify]: Extracting #0: cost 1 inf + 0 205.856 * * [simplify]: Extracting #1: cost 11 inf + 0 205.856 * * [simplify]: Extracting #2: cost 102 inf + 0 205.856 * * [simplify]: Extracting #3: cost 150 inf + 207 205.857 * * [simplify]: Extracting #4: cost 142 inf + 1278 205.858 * * [simplify]: Extracting #5: cost 134 inf + 2333 205.859 * * [simplify]: Extracting #6: cost 130 inf + 3200 205.867 * * [simplify]: Extracting #7: cost 70 inf + 26665 205.892 * * [simplify]: Extracting #8: cost 4 inf + 51273 205.918 * * [simplify]: Extracting #9: cost 0 inf + 52787 205.944 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 205.944 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 205.945 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 205.945 * * [simplify]: iters left: 6 (15 enodes) 205.953 * * [simplify]: iters left: 5 (60 enodes) 205.971 * * [simplify]: iters left: 4 (103 enodes) 205.990 * * [simplify]: iters left: 3 (167 enodes) 206.051 * * [simplify]: iters left: 2 (361 enodes) 206.251 * * [simplify]: Extracting #0: cost 1 inf + 0 206.251 * * [simplify]: Extracting #1: cost 0 inf + 1 206.251 * [simplify]: Simplified to 0 206.251 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 206.252 * * * * [progress]: [ 245 / 2246 ] simplifiying candidate # 206.252 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 206.253 * * [simplify]: iters left: 6 (20 enodes) 206.263 * * [simplify]: iters left: 5 (79 enodes) 206.291 * * [simplify]: iters left: 4 (141 enodes) 206.320 * * [simplify]: iters left: 3 (234 enodes) 206.384 * * [simplify]: iters left: 2 (358 enodes) 206.463 * * [simplify]: iters left: 1 (497 enodes) 206.661 * * [simplify]: Extracting #0: cost 1 inf + 0 206.661 * * [simplify]: Extracting #1: cost 17 inf + 0 206.662 * * [simplify]: Extracting #2: cost 138 inf + 2 206.663 * * [simplify]: Extracting #3: cost 207 inf + 331 206.666 * * [simplify]: Extracting #4: cost 192 inf + 2209 206.669 * * [simplify]: Extracting #5: cost 174 inf + 5441 206.681 * * [simplify]: Extracting #6: cost 104 inf + 29501 206.702 * * [simplify]: Extracting #7: cost 9 inf + 69875 206.719 * * [simplify]: Extracting #8: cost 0 inf + 74985 206.753 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 206.753 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))))) 206.753 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1))) 206.754 * * [simplify]: iters left: 6 (14 enodes) 206.761 * * [simplify]: iters left: 5 (53 enodes) 206.783 * * [simplify]: iters left: 4 (92 enodes) 206.803 * * [simplify]: iters left: 3 (137 enodes) 206.827 * * [simplify]: iters left: 2 (188 enodes) 206.881 * * [simplify]: iters left: 1 (283 enodes) 206.951 * * [simplify]: Extracting #0: cost 1 inf + 0 206.951 * * [simplify]: Extracting #1: cost 0 inf + 1 206.951 * [simplify]: Simplified to 0 206.951 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 206.951 * * * * [progress]: [ 246 / 2246 ] simplifiying candidate # 206.951 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 206.952 * * [simplify]: iters left: 6 (22 enodes) 206.958 * * [simplify]: iters left: 5 (89 enodes) 206.976 * * [simplify]: iters left: 4 (163 enodes) 207.009 * * [simplify]: iters left: 3 (277 enodes) 207.060 * * [simplify]: iters left: 2 (444 enodes) 207.252 * * [simplify]: Extracting #0: cost 1 inf + 0 207.252 * * [simplify]: Extracting #1: cost 11 inf + 0 207.253 * * [simplify]: Extracting #2: cost 70 inf + 2 207.253 * * [simplify]: Extracting #3: cost 104 inf + 87 207.254 * * [simplify]: Extracting #4: cost 99 inf + 762 207.256 * * [simplify]: Extracting #5: cost 87 inf + 2194 207.259 * * [simplify]: Extracting #6: cost 61 inf + 8823 207.272 * * [simplify]: Extracting #7: cost 8 inf + 27293 207.291 * * [simplify]: Extracting #8: cost 0 inf + 30679 207.307 * * [simplify]: Extracting #9: cost 0 inf + 30639 207.323 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 207.323 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))))) 207.324 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1)))) 207.324 * * [simplify]: iters left: 6 (15 enodes) 207.334 * * [simplify]: iters left: 5 (60 enodes) 207.344 * * [simplify]: iters left: 4 (93 enodes) 207.360 * * [simplify]: iters left: 3 (149 enodes) 207.397 * * [simplify]: iters left: 2 (229 enodes) 207.471 * * [simplify]: iters left: 1 (341 enodes) 207.607 * * [simplify]: Extracting #0: cost 1 inf + 0 207.607 * * [simplify]: Extracting #1: cost 0 inf + 1 207.607 * [simplify]: Simplified to 0 207.607 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 207.608 * * * * [progress]: [ 247 / 2246 ] simplifiying candidate # 207.608 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 207.608 * * [simplify]: iters left: 6 (22 enodes) 207.626 * * [simplify]: iters left: 5 (89 enodes) 207.659 * * [simplify]: iters left: 4 (163 enodes) 207.712 * * [simplify]: iters left: 3 (277 enodes) 207.788 * * [simplify]: iters left: 2 (444 enodes) 207.939 * * [simplify]: Extracting #0: cost 1 inf + 0 207.939 * * [simplify]: Extracting #1: cost 11 inf + 0 207.940 * * [simplify]: Extracting #2: cost 70 inf + 2 207.941 * * [simplify]: Extracting #3: cost 104 inf + 87 207.941 * * [simplify]: Extracting #4: cost 99 inf + 762 207.943 * * [simplify]: Extracting #5: cost 87 inf + 2194 207.946 * * [simplify]: Extracting #6: cost 61 inf + 8823 207.958 * * [simplify]: Extracting #7: cost 8 inf + 27293 207.969 * * [simplify]: Extracting #8: cost 0 inf + 30679 207.977 * * [simplify]: Extracting #9: cost 0 inf + 30639 207.985 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 207.985 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))))) 207.985 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1)))) 207.986 * * [simplify]: iters left: 6 (15 enodes) 207.992 * * [simplify]: iters left: 5 (60 enodes) 208.008 * * [simplify]: iters left: 4 (93 enodes) 208.032 * * [simplify]: iters left: 3 (149 enodes) 208.063 * * [simplify]: iters left: 2 (229 enodes) 208.108 * * [simplify]: iters left: 1 (341 enodes) 208.221 * * [simplify]: Extracting #0: cost 1 inf + 0 208.221 * * [simplify]: Extracting #1: cost 0 inf + 1 208.221 * [simplify]: Simplified to 0 208.221 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 208.221 * * * * [progress]: [ 248 / 2246 ] simplifiying candidate # 208.221 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 208.222 * * [simplify]: iters left: 6 (20 enodes) 208.233 * * [simplify]: iters left: 5 (79 enodes) 208.260 * * [simplify]: iters left: 4 (141 enodes) 208.307 * * [simplify]: iters left: 3 (234 enodes) 208.384 * * [simplify]: iters left: 2 (358 enodes) 208.476 * * [simplify]: iters left: 1 (497 enodes) 208.638 * * [simplify]: Extracting #0: cost 1 inf + 0 208.638 * * [simplify]: Extracting #1: cost 17 inf + 0 208.638 * * [simplify]: Extracting #2: cost 138 inf + 2 208.640 * * [simplify]: Extracting #3: cost 207 inf + 331 208.642 * * [simplify]: Extracting #4: cost 192 inf + 2209 208.645 * * [simplify]: Extracting #5: cost 174 inf + 5441 208.657 * * [simplify]: Extracting #6: cost 104 inf + 29501 208.688 * * [simplify]: Extracting #7: cost 9 inf + 69875 208.721 * * [simplify]: Extracting #8: cost 0 inf + 74985 208.749 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 208.749 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))))) 208.750 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1))) 208.750 * * [simplify]: iters left: 6 (14 enodes) 208.756 * * [simplify]: iters left: 5 (53 enodes) 208.766 * * [simplify]: iters left: 4 (92 enodes) 208.786 * * [simplify]: iters left: 3 (137 enodes) 208.817 * * [simplify]: iters left: 2 (188 enodes) 208.858 * * [simplify]: iters left: 1 (283 enodes) 208.909 * * [simplify]: Extracting #0: cost 1 inf + 0 208.909 * * [simplify]: Extracting #1: cost 0 inf + 1 208.909 * [simplify]: Simplified to 0 208.909 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 208.909 * * * * [progress]: [ 249 / 2246 ] simplifiying candidate # 208.909 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))) 208.910 * * [simplify]: iters left: 6 (18 enodes) 208.915 * * [simplify]: iters left: 5 (73 enodes) 208.932 * * [simplify]: iters left: 4 (125 enodes) 208.956 * * [simplify]: iters left: 3 (211 enodes) 209.006 * * [simplify]: iters left: 2 (319 enodes) 209.113 * * [simplify]: iters left: 1 (432 enodes) 209.319 * * [simplify]: Extracting #0: cost 1 inf + 0 209.320 * * [simplify]: Extracting #1: cost 10 inf + 0 209.320 * * [simplify]: Extracting #2: cost 179 inf + 2 209.323 * * [simplify]: Extracting #3: cost 274 inf + 451 209.325 * * [simplify]: Extracting #4: cost 250 inf + 3860 209.330 * * [simplify]: Extracting #5: cost 221 inf + 10468 209.347 * * [simplify]: Extracting #6: cost 135 inf + 43754 209.374 * * [simplify]: Extracting #7: cost 25 inf + 94386 209.401 * * [simplify]: Extracting #8: cost 0 inf + 107007 209.447 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 209.447 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1 (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))))) 209.448 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1 (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1)) 209.448 * * [simplify]: iters left: 6 (12 enodes) 209.454 * * [simplify]: iters left: 5 (47 enodes) 209.472 * * [simplify]: iters left: 4 (79 enodes) 209.492 * * [simplify]: iters left: 3 (107 enodes) 209.515 * * [simplify]: iters left: 2 (167 enodes) 209.556 * * [simplify]: iters left: 1 (239 enodes) 209.606 * * [simplify]: Extracting #0: cost 1 inf + 0 209.606 * * [simplify]: Extracting #1: cost 0 inf + 1 209.606 * [simplify]: Simplified to 0 209.606 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 209.606 * * * * [progress]: [ 250 / 2246 ] simplifiying candidate # 209.607 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))) 209.607 * * [simplify]: iters left: 6 (18 enodes) 209.616 * * [simplify]: iters left: 5 (74 enodes) 209.639 * * [simplify]: iters left: 4 (134 enodes) 209.664 * * [simplify]: iters left: 3 (238 enodes) 209.725 * * [simplify]: iters left: 2 (390 enodes) 209.866 * * [simplify]: Extracting #0: cost 1 inf + 0 209.866 * * [simplify]: Extracting #1: cost 11 inf + 0 209.866 * * [simplify]: Extracting #2: cost 78 inf + 0 209.869 * * [simplify]: Extracting #3: cost 127 inf + 86 209.869 * * [simplify]: Extracting #4: cost 124 inf + 762 209.870 * * [simplify]: Extracting #5: cost 108 inf + 2485 209.872 * * [simplify]: Extracting #6: cost 73 inf + 11770 209.879 * * [simplify]: Extracting #7: cost 15 inf + 30679 209.892 * * [simplify]: Extracting #8: cost 1 inf + 37243 209.910 * * [simplify]: Extracting #9: cost 0 inf + 37621 209.929 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 209.929 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (hypot 1 x)) (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))))) 209.930 * [simplify]: Simplifying (fma (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (hypot 1 x)) (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x)))) 209.930 * * [simplify]: iters left: 6 (12 enodes) 209.936 * * [simplify]: iters left: 5 (50 enodes) 209.953 * * [simplify]: iters left: 4 (76 enodes) 209.968 * * [simplify]: iters left: 3 (143 enodes) 210.000 * * [simplify]: iters left: 2 (233 enodes) 210.088 * * [simplify]: iters left: 1 (369 enodes) 210.253 * * [simplify]: Extracting #0: cost 1 inf + 0 210.254 * * [simplify]: Extracting #1: cost 0 inf + 1 210.254 * [simplify]: Simplified to 0 210.254 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 210.254 * * * * [progress]: [ 251 / 2246 ] simplifiying candidate # 210.254 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 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))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))) 210.254 * * [simplify]: iters left: 6 (27 enodes) 210.262 * * [simplify]: iters left: 5 (114 enodes) 210.290 * * [simplify]: iters left: 4 (277 enodes) 210.368 * * [simplify]: Extracting #0: cost 1 inf + 0 210.368 * * [simplify]: Extracting #1: cost 11 inf + 0 210.369 * * [simplify]: Extracting #2: cost 115 inf + 0 210.369 * * [simplify]: Extracting #3: cost 195 inf + 208 210.370 * * [simplify]: Extracting #4: cost 176 inf + 4270 210.376 * * [simplify]: Extracting #5: cost 80 inf + 33708 210.389 * * [simplify]: Extracting #6: cost 6 inf + 60242 210.414 * * [simplify]: Extracting #7: cost 0 inf + 62358 210.441 * * [simplify]: Extracting #8: cost 0 inf + 62328 210.460 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)) (- (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)))) 210.460 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)) (- (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)))) (fma (- (+ (* 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 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (* (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))))) 210.460 * [simplify]: Simplifying (fma (- (+ (* 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 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (* (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))))) 210.461 * * [simplify]: iters left: 6 (20 enodes) 210.467 * * [simplify]: iters left: 5 (87 enodes) 210.493 * * [simplify]: iters left: 4 (224 enodes) 210.585 * * [simplify]: Extracting #0: cost 1 inf + 0 210.586 * * [simplify]: Extracting #1: cost 14 inf + 0 210.586 * * [simplify]: Extracting #2: cost 116 inf + 0 210.586 * * [simplify]: Extracting #3: cost 173 inf + 989 210.590 * * [simplify]: Extracting #4: cost 109 inf + 16215 210.602 * * [simplify]: Extracting #5: cost 31 inf + 40092 210.625 * * [simplify]: Extracting #6: cost 1 inf + 50253 210.649 * * [simplify]: Extracting #7: cost 0 inf + 50642 210.668 * [simplify]: Simplified to (- (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 210.668 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 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))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))) (- (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))))) 210.668 * * * * [progress]: [ 252 / 2246 ] simplifiying candidate # 210.669 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 210.669 * * [simplify]: iters left: 6 (22 enodes) 210.675 * * [simplify]: iters left: 5 (87 enodes) 210.691 * * [simplify]: iters left: 4 (168 enodes) 210.741 * * [simplify]: iters left: 3 (354 enodes) 210.854 * * [simplify]: Extracting #0: cost 1 inf + 0 210.854 * * [simplify]: Extracting #1: cost 17 inf + 0 210.855 * * [simplify]: Extracting #2: cost 130 inf + 0 210.856 * * [simplify]: Extracting #3: cost 192 inf + 499 210.857 * * [simplify]: Extracting #4: cost 193 inf + 3130 210.862 * * [simplify]: Extracting #5: cost 103 inf + 24765 210.875 * * [simplify]: Extracting #6: cost 10 inf + 57272 210.902 * * [simplify]: Extracting #7: cost 0 inf + 60537 210.930 * [simplify]: Simplified to (fma (/ (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 210.930 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) (fma (- (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 210.931 * [simplify]: Simplifying (fma (- (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 210.931 * * [simplify]: iters left: 6 (15 enodes) 210.939 * * [simplify]: iters left: 5 (56 enodes) 210.949 * * [simplify]: iters left: 4 (109 enodes) 210.972 * * [simplify]: iters left: 3 (271 enodes) 211.043 * * [simplify]: Extracting #0: cost 1 inf + 0 211.044 * * [simplify]: Extracting #1: cost 0 inf + 1 211.044 * [simplify]: Simplified to 0 211.044 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 211.044 * * * * [progress]: [ 253 / 2246 ] simplifiying candidate # 211.044 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 211.044 * * [simplify]: iters left: 6 (19 enodes) 211.051 * * [simplify]: iters left: 5 (74 enodes) 211.075 * * [simplify]: iters left: 4 (110 enodes) 211.117 * * [simplify]: iters left: 3 (163 enodes) 211.169 * * [simplify]: iters left: 2 (236 enodes) 211.249 * * [simplify]: iters left: 1 (336 enodes) 211.325 * * [simplify]: Extracting #0: cost 1 inf + 0 211.325 * * [simplify]: Extracting #1: cost 11 inf + 0 211.326 * * [simplify]: Extracting #2: cost 71 inf + 0 211.326 * * [simplify]: Extracting #3: cost 120 inf + 85 211.326 * * [simplify]: Extracting #4: cost 118 inf + 624 211.327 * * [simplify]: Extracting #5: cost 112 inf + 1631 211.330 * * [simplify]: Extracting #6: cost 72 inf + 13714 211.337 * * [simplify]: Extracting #7: cost 57 inf + 19662 211.346 * * [simplify]: Extracting #8: cost 20 inf + 46035 211.357 * * [simplify]: Extracting #9: cost 0 inf + 63963 211.368 * * [simplify]: Extracting #10: cost 0 inf + 63883 211.390 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 211.390 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 211.391 * [simplify]: Simplifying (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 211.391 * * [simplify]: iters left: 6 (14 enodes) 211.398 * * [simplify]: iters left: 5 (53 enodes) 211.416 * * [simplify]: iters left: 4 (76 enodes) 211.434 * * [simplify]: iters left: 3 (134 enodes) 211.474 * * [simplify]: iters left: 2 (194 enodes) 211.513 * * [simplify]: iters left: 1 (293 enodes) 211.590 * * [simplify]: Extracting #0: cost 1 inf + 0 211.590 * * [simplify]: Extracting #1: cost 0 inf + 1 211.590 * [simplify]: Simplified to 0 211.590 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 211.590 * * * * [progress]: [ 254 / 2246 ] simplifiying candidate # 211.590 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 211.591 * * [simplify]: iters left: 6 (18 enodes) 211.599 * * [simplify]: iters left: 5 (65 enodes) 211.618 * * [simplify]: iters left: 4 (94 enodes) 211.633 * * [simplify]: iters left: 3 (127 enodes) 211.663 * * [simplify]: iters left: 2 (159 enodes) 211.696 * * [simplify]: iters left: 1 (198 enodes) 211.738 * * [simplify]: Extracting #0: cost 1 inf + 0 211.738 * * [simplify]: Extracting #1: cost 9 inf + 0 211.738 * * [simplify]: Extracting #2: cost 37 inf + 0 211.738 * * [simplify]: Extracting #3: cost 57 inf + 84 211.738 * * [simplify]: Extracting #4: cost 50 inf + 914 211.739 * * [simplify]: Extracting #5: cost 47 inf + 1666 211.740 * * [simplify]: Extracting #6: cost 18 inf + 10237 211.744 * * [simplify]: Extracting #7: cost 1 inf + 15961 211.747 * * [simplify]: Extracting #8: cost 0 inf + 16299 211.751 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 211.752 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 211.752 * [simplify]: Simplifying (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 211.752 * * [simplify]: iters left: 6 (13 enodes) 211.758 * * [simplify]: iters left: 5 (45 enodes) 211.772 * * [simplify]: iters left: 4 (60 enodes) 211.790 * * [simplify]: iters left: 3 (85 enodes) 211.815 * * [simplify]: iters left: 2 (102 enodes) 211.838 * * [simplify]: iters left: 1 (126 enodes) 211.855 * * [simplify]: Extracting #0: cost 1 inf + 0 211.855 * * [simplify]: Extracting #1: cost 0 inf + 1 211.855 * [simplify]: Simplified to 0 211.855 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 211.855 * * * * [progress]: [ 255 / 2246 ] simplifiying candidate # 211.855 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))) 211.856 * * [simplify]: iters left: 6 (22 enodes) 211.862 * * [simplify]: iters left: 5 (88 enodes) 211.895 * * [simplify]: iters left: 4 (176 enodes) 211.946 * * [simplify]: iters left: 3 (336 enodes) 212.060 * * [simplify]: Extracting #0: cost 1 inf + 0 212.061 * * [simplify]: Extracting #1: cost 11 inf + 0 212.061 * * [simplify]: Extracting #2: cost 79 inf + 0 212.062 * * [simplify]: Extracting #3: cost 132 inf + 1 212.063 * * [simplify]: Extracting #4: cost 130 inf + 488 212.064 * * [simplify]: Extracting #5: cost 125 inf + 846 212.065 * * [simplify]: Extracting #6: cost 121 inf + 1358 212.070 * * [simplify]: Extracting #7: cost 67 inf + 22636 212.085 * * [simplify]: Extracting #8: cost 11 inf + 46899 212.101 * * [simplify]: Extracting #9: cost 0 inf + 51657 212.128 * * [simplify]: Extracting #10: cost 0 inf + 51602 212.143 * [simplify]: Simplified to (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 212.143 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))))) 212.144 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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)))))))) 212.144 * * [simplify]: iters left: 6 (17 enodes) 212.149 * * [simplify]: iters left: 5 (69 enodes) 212.161 * * [simplify]: iters left: 4 (135 enodes) 212.202 * * [simplify]: iters left: 3 (301 enodes) 212.305 * * [simplify]: Extracting #0: cost 1 inf + 0 212.305 * * [simplify]: Extracting #1: cost 0 inf + 1 212.305 * [simplify]: Simplified to 0 212.305 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))) 0))) 212.306 * * * * [progress]: [ 256 / 2246 ] simplifiying candidate # 212.306 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 212.306 * * [simplify]: iters left: 6 (20 enodes) 212.314 * * [simplify]: iters left: 5 (79 enodes) 212.328 * * [simplify]: iters left: 4 (136 enodes) 212.360 * * [simplify]: iters left: 3 (217 enodes) 212.412 * * [simplify]: iters left: 2 (308 enodes) 212.493 * * [simplify]: iters left: 1 (394 enodes) 212.596 * * [simplify]: Extracting #0: cost 1 inf + 0 212.596 * * [simplify]: Extracting #1: cost 11 inf + 0 212.596 * * [simplify]: Extracting #2: cost 66 inf + 0 212.597 * * [simplify]: Extracting #3: cost 118 inf + 83 212.597 * * [simplify]: Extracting #4: cost 113 inf + 468 212.598 * * [simplify]: Extracting #5: cost 106 inf + 1354 212.601 * * [simplify]: Extracting #6: cost 49 inf + 20504 212.613 * * [simplify]: Extracting #7: cost 5 inf + 40007 212.631 * * [simplify]: Extracting #8: cost 0 inf + 42421 212.645 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 212.645 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 212.646 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 212.646 * * [simplify]: iters left: 6 (16 enodes) 212.650 * * [simplify]: iters left: 5 (63 enodes) 212.662 * * [simplify]: iters left: 4 (100 enodes) 212.686 * * [simplify]: iters left: 3 (175 enodes) 212.725 * * [simplify]: iters left: 2 (267 enodes) 212.798 * * [simplify]: iters left: 1 (373 enodes) 212.905 * * [simplify]: Extracting #0: cost 1 inf + 0 212.905 * * [simplify]: Extracting #1: cost 0 inf + 1 212.905 * [simplify]: Simplified to 0 212.905 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 0))) 212.905 * * * * [progress]: [ 257 / 2246 ] simplifiying candidate # 212.905 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 212.906 * * [simplify]: iters left: 6 (20 enodes) 212.915 * * [simplify]: iters left: 5 (77 enodes) 212.943 * * [simplify]: iters left: 4 (140 enodes) 212.990 * * [simplify]: iters left: 3 (243 enodes) 213.066 * * [simplify]: iters left: 2 (421 enodes) 213.277 * * [simplify]: Extracting #0: cost 1 inf + 0 213.277 * * [simplify]: Extracting #1: cost 13 inf + 0 213.278 * * [simplify]: Extracting #2: cost 77 inf + 0 213.279 * * [simplify]: Extracting #3: cost 133 inf + 84 213.280 * * [simplify]: Extracting #4: cost 129 inf + 629 213.282 * * [simplify]: Extracting #5: cost 120 inf + 1774 213.287 * * [simplify]: Extracting #6: cost 74 inf + 16446 213.303 * * [simplify]: Extracting #7: cost 21 inf + 38191 213.321 * * [simplify]: Extracting #8: cost 0 inf + 48818 213.331 * [simplify]: Simplified to (- (* (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 213.331 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))))) 213.331 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1))) 213.332 * * [simplify]: iters left: 6 (15 enodes) 213.336 * * [simplify]: iters left: 5 (58 enodes) 213.346 * * [simplify]: iters left: 4 (100 enodes) 213.374 * * [simplify]: iters left: 3 (192 enodes) 213.435 * * [simplify]: iters left: 2 (333 enodes) 213.546 * * [simplify]: Extracting #0: cost 1 inf + 0 213.546 * * [simplify]: Extracting #1: cost 0 inf + 1 213.546 * [simplify]: Simplified to 0 213.546 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 0))) 213.546 * * * * [progress]: [ 258 / 2246 ] simplifiying candidate # 213.547 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 213.547 * * [simplify]: iters left: 6 (22 enodes) 213.553 * * [simplify]: iters left: 5 (86 enodes) 213.567 * * [simplify]: iters left: 4 (133 enodes) 213.599 * * [simplify]: iters left: 3 (227 enodes) 213.649 * * [simplify]: iters left: 2 (361 enodes) 213.762 * * [simplify]: iters left: 1 (472 enodes) 213.924 * * [simplify]: Extracting #0: cost 1 inf + 0 213.924 * * [simplify]: Extracting #1: cost 11 inf + 0 213.925 * * [simplify]: Extracting #2: cost 68 inf + 0 213.926 * * [simplify]: Extracting #3: cost 138 inf + 84 213.927 * * [simplify]: Extracting #4: cost 136 inf + 469 213.928 * * [simplify]: Extracting #5: cost 128 inf + 1420 213.933 * * [simplify]: Extracting #6: cost 92 inf + 13629 213.949 * * [simplify]: Extracting #7: cost 21 inf + 41259 213.970 * * [simplify]: Extracting #8: cost 1 inf + 50551 213.985 * * [simplify]: Extracting #9: cost 0 inf + 50929 213.998 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 213.998 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))))) 213.999 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)))) 213.999 * * [simplify]: iters left: 6 (16 enodes) 214.008 * * [simplify]: iters left: 5 (63 enodes) 214.028 * * [simplify]: iters left: 4 (94 enodes) 214.061 * * [simplify]: iters left: 3 (179 enodes) 214.111 * * [simplify]: iters left: 2 (303 enodes) 214.197 * * [simplify]: iters left: 1 (423 enodes) 214.325 * * [simplify]: Extracting #0: cost 1 inf + 0 214.325 * * [simplify]: Extracting #1: cost 0 inf + 1 214.325 * [simplify]: Simplified to 0 214.325 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 214.325 * * * * [progress]: [ 259 / 2246 ] simplifiying candidate # 214.325 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 214.326 * * [simplify]: iters left: 6 (22 enodes) 214.332 * * [simplify]: iters left: 5 (86 enodes) 214.346 * * [simplify]: iters left: 4 (133 enodes) 214.370 * * [simplify]: iters left: 3 (227 enodes) 214.432 * * [simplify]: iters left: 2 (361 enodes) 214.571 * * [simplify]: iters left: 1 (472 enodes) 214.746 * * [simplify]: Extracting #0: cost 1 inf + 0 214.746 * * [simplify]: Extracting #1: cost 11 inf + 0 214.746 * * [simplify]: Extracting #2: cost 68 inf + 0 214.747 * * [simplify]: Extracting #3: cost 138 inf + 84 214.747 * * [simplify]: Extracting #4: cost 136 inf + 469 214.748 * * [simplify]: Extracting #5: cost 128 inf + 1420 214.751 * * [simplify]: Extracting #6: cost 92 inf + 13629 214.765 * * [simplify]: Extracting #7: cost 21 inf + 41259 214.777 * * [simplify]: Extracting #8: cost 1 inf + 50551 214.787 * * [simplify]: Extracting #9: cost 0 inf + 50929 214.801 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 214.801 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))))) 214.802 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)))) 214.802 * * [simplify]: iters left: 6 (16 enodes) 214.808 * * [simplify]: iters left: 5 (63 enodes) 214.818 * * [simplify]: iters left: 4 (94 enodes) 214.839 * * [simplify]: iters left: 3 (179 enodes) 214.921 * * [simplify]: iters left: 2 (303 enodes) 215.022 * * [simplify]: iters left: 1 (423 enodes) 215.158 * * [simplify]: Extracting #0: cost 1 inf + 0 215.158 * * [simplify]: Extracting #1: cost 0 inf + 1 215.158 * [simplify]: Simplified to 0 215.159 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 215.159 * * * * [progress]: [ 260 / 2246 ] simplifiying candidate # 215.159 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 215.160 * * [simplify]: iters left: 6 (20 enodes) 215.170 * * [simplify]: iters left: 5 (77 enodes) 215.197 * * [simplify]: iters left: 4 (140 enodes) 215.247 * * [simplify]: iters left: 3 (243 enodes) 215.328 * * [simplify]: iters left: 2 (421 enodes) 215.529 * * [simplify]: Extracting #0: cost 1 inf + 0 215.529 * * [simplify]: Extracting #1: cost 13 inf + 0 215.529 * * [simplify]: Extracting #2: cost 77 inf + 0 215.530 * * [simplify]: Extracting #3: cost 133 inf + 84 215.530 * * [simplify]: Extracting #4: cost 129 inf + 629 215.531 * * [simplify]: Extracting #5: cost 120 inf + 1774 215.534 * * [simplify]: Extracting #6: cost 74 inf + 16446 215.542 * * [simplify]: Extracting #7: cost 21 inf + 38191 215.551 * * [simplify]: Extracting #8: cost 0 inf + 48818 215.575 * [simplify]: Simplified to (- (* (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 215.575 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))))) 215.576 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1))) 215.576 * * [simplify]: iters left: 6 (15 enodes) 215.583 * * [simplify]: iters left: 5 (58 enodes) 215.594 * * [simplify]: iters left: 4 (100 enodes) 215.613 * * [simplify]: iters left: 3 (192 enodes) 215.664 * * [simplify]: iters left: 2 (333 enodes) 215.774 * * [simplify]: Extracting #0: cost 1 inf + 0 215.774 * * [simplify]: Extracting #1: cost 0 inf + 1 215.774 * [simplify]: Simplified to 0 215.774 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 0))) 215.775 * * * * [progress]: [ 261 / 2246 ] simplifiying candidate # 215.775 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 215.775 * * [simplify]: iters left: 6 (21 enodes) 215.780 * * [simplify]: iters left: 5 (81 enodes) 215.798 * * [simplify]: iters left: 4 (137 enodes) 215.846 * * [simplify]: iters left: 3 (202 enodes) 215.878 * * [simplify]: iters left: 2 (277 enodes) 215.944 * * [simplify]: iters left: 1 (339 enodes) 216.038 * * [simplify]: Extracting #0: cost 1 inf + 0 216.038 * * [simplify]: Extracting #1: cost 11 inf + 0 216.039 * * [simplify]: Extracting #2: cost 57 inf + 0 216.039 * * [simplify]: Extracting #3: cost 92 inf + 83 216.039 * * [simplify]: Extracting #4: cost 92 inf + 408 216.040 * * [simplify]: Extracting #5: cost 86 inf + 938 216.040 * * [simplify]: Extracting #6: cost 76 inf + 2798 216.044 * * [simplify]: Extracting #7: cost 25 inf + 20529 216.052 * * [simplify]: Extracting #8: cost 1 inf + 29481 216.060 * * [simplify]: Extracting #9: cost 0 inf + 29817 216.072 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 216.072 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 216.073 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 216.073 * * [simplify]: iters left: 6 (16 enodes) 216.081 * * [simplify]: iters left: 5 (62 enodes) 216.101 * * [simplify]: iters left: 4 (99 enodes) 216.133 * * [simplify]: iters left: 3 (150 enodes) 216.184 * * [simplify]: iters left: 2 (222 enodes) 216.222 * * [simplify]: iters left: 1 (302 enodes) 216.287 * * [simplify]: Extracting #0: cost 1 inf + 0 216.287 * * [simplify]: Extracting #1: cost 0 inf + 1 216.287 * [simplify]: Simplified to 0 216.287 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 216.287 * * * * [progress]: [ 262 / 2246 ] simplifiying candidate # 216.287 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 216.287 * * [simplify]: iters left: 6 (18 enodes) 216.292 * * [simplify]: iters left: 5 (69 enodes) 216.304 * * [simplify]: iters left: 4 (105 enodes) 216.333 * * [simplify]: iters left: 3 (147 enodes) 216.380 * * [simplify]: iters left: 2 (197 enodes) 216.437 * * [simplify]: iters left: 1 (232 enodes) 216.505 * * [simplify]: Extracting #0: cost 1 inf + 0 216.505 * * [simplify]: Extracting #1: cost 9 inf + 0 216.506 * * [simplify]: Extracting #2: cost 42 inf + 0 216.506 * * [simplify]: Extracting #3: cost 68 inf + 83 216.506 * * [simplify]: Extracting #4: cost 69 inf + 407 216.507 * * [simplify]: Extracting #5: cost 60 inf + 1728 216.510 * * [simplify]: Extracting #6: cost 20 inf + 13929 216.514 * * [simplify]: Extracting #7: cost 2 inf + 19693 216.519 * * [simplify]: Extracting #8: cost 0 inf + 20329 216.524 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 216.524 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 216.524 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 216.524 * * [simplify]: iters left: 6 (14 enodes) 216.528 * * [simplify]: iters left: 5 (54 enodes) 216.537 * * [simplify]: iters left: 4 (77 enodes) 216.555 * * [simplify]: iters left: 3 (106 enodes) 216.571 * * [simplify]: iters left: 2 (137 enodes) 216.600 * * [simplify]: iters left: 1 (167 enodes) 216.639 * * [simplify]: Extracting #0: cost 1 inf + 0 216.639 * * [simplify]: Extracting #1: cost 0 inf + 1 216.639 * [simplify]: Simplified to 0 216.639 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 216.640 * * * * [progress]: [ 263 / 2246 ] simplifiying candidate # 216.640 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 216.640 * * [simplify]: iters left: 6 (19 enodes) 216.650 * * [simplify]: iters left: 5 (72 enodes) 216.674 * * [simplify]: iters left: 4 (112 enodes) 216.705 * * [simplify]: iters left: 3 (175 enodes) 216.746 * * [simplify]: iters left: 2 (235 enodes) 216.797 * * [simplify]: iters left: 1 (301 enodes) 216.864 * * [simplify]: Extracting #0: cost 1 inf + 0 216.864 * * [simplify]: Extracting #1: cost 11 inf + 0 216.864 * * [simplify]: Extracting #2: cost 48 inf + 0 216.865 * * [simplify]: Extracting #3: cost 74 inf + 84 216.865 * * [simplify]: Extracting #4: cost 68 inf + 1140 216.867 * * [simplify]: Extracting #5: cost 60 inf + 2542 216.873 * * [simplify]: Extracting #6: cost 11 inf + 17433 216.884 * * [simplify]: Extracting #7: cost 0 inf + 20968 216.895 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 216.895 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))))) 216.896 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1))) 216.896 * * [simplify]: iters left: 6 (14 enodes) 216.903 * * [simplify]: iters left: 5 (53 enodes) 216.923 * * [simplify]: iters left: 4 (78 enodes) 216.943 * * [simplify]: iters left: 3 (126 enodes) 216.964 * * [simplify]: iters left: 2 (171 enodes) 216.999 * * [simplify]: iters left: 1 (225 enodes) 217.032 * * [simplify]: Extracting #0: cost 1 inf + 0 217.032 * * [simplify]: Extracting #1: cost 0 inf + 1 217.032 * [simplify]: Simplified to 0 217.032 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 217.032 * * * * [progress]: [ 264 / 2246 ] simplifiying candidate # 217.033 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 217.033 * * [simplify]: iters left: 6 (21 enodes) 217.045 * * [simplify]: iters left: 5 (81 enodes) 217.069 * * [simplify]: iters left: 4 (118 enodes) 217.105 * * [simplify]: iters left: 3 (163 enodes) 217.151 * * [simplify]: iters left: 2 (224 enodes) 217.192 * * [simplify]: iters left: 1 (267 enodes) 217.243 * * [simplify]: Extracting #0: cost 1 inf + 0 217.243 * * [simplify]: Extracting #1: cost 11 inf + 0 217.243 * * [simplify]: Extracting #2: cost 48 inf + 0 217.243 * * [simplify]: Extracting #3: cost 75 inf + 84 217.244 * * [simplify]: Extracting #4: cost 66 inf + 1319 217.244 * * [simplify]: Extracting #5: cost 58 inf + 2760 217.245 * * [simplify]: Extracting #6: cost 56 inf + 3076 217.247 * * [simplify]: Extracting #7: cost 43 inf + 6725 217.251 * * [simplify]: Extracting #8: cost 7 inf + 18497 217.256 * * [simplify]: Extracting #9: cost 0 inf + 20966 217.261 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 217.261 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))))) 217.262 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)))) 217.262 * * [simplify]: iters left: 6 (15 enodes) 217.266 * * [simplify]: iters left: 5 (58 enodes) 217.282 * * [simplify]: iters left: 4 (84 enodes) 217.313 * * [simplify]: iters left: 3 (133 enodes) 217.332 * * [simplify]: iters left: 2 (175 enodes) 217.367 * * [simplify]: iters left: 1 (209 enodes) 217.429 * * [simplify]: Extracting #0: cost 1 inf + 0 217.429 * * [simplify]: Extracting #1: cost 0 inf + 1 217.429 * [simplify]: Simplified to 0 217.429 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 0))) 217.429 * * * * [progress]: [ 265 / 2246 ] simplifiying candidate # 217.430 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 217.430 * * [simplify]: iters left: 6 (21 enodes) 217.436 * * [simplify]: iters left: 5 (81 enodes) 217.450 * * [simplify]: iters left: 4 (118 enodes) 217.472 * * [simplify]: iters left: 3 (163 enodes) 217.498 * * [simplify]: iters left: 2 (224 enodes) 217.567 * * [simplify]: iters left: 1 (267 enodes) 217.630 * * [simplify]: Extracting #0: cost 1 inf + 0 217.630 * * [simplify]: Extracting #1: cost 11 inf + 0 217.630 * * [simplify]: Extracting #2: cost 48 inf + 0 217.631 * * [simplify]: Extracting #3: cost 75 inf + 84 217.631 * * [simplify]: Extracting #4: cost 66 inf + 1319 217.632 * * [simplify]: Extracting #5: cost 58 inf + 2760 217.633 * * [simplify]: Extracting #6: cost 56 inf + 3076 217.634 * * [simplify]: Extracting #7: cost 43 inf + 6725 217.641 * * [simplify]: Extracting #8: cost 7 inf + 18497 217.652 * * [simplify]: Extracting #9: cost 0 inf + 20966 217.662 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 217.662 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))))) 217.663 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)))) 217.663 * * [simplify]: iters left: 6 (15 enodes) 217.671 * * [simplify]: iters left: 5 (58 enodes) 217.689 * * [simplify]: iters left: 4 (84 enodes) 217.716 * * [simplify]: iters left: 3 (133 enodes) 217.740 * * [simplify]: iters left: 2 (175 enodes) 217.768 * * [simplify]: iters left: 1 (209 enodes) 217.807 * * [simplify]: Extracting #0: cost 1 inf + 0 217.807 * * [simplify]: Extracting #1: cost 0 inf + 1 217.807 * [simplify]: Simplified to 0 217.807 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 0))) 217.808 * * * * [progress]: [ 266 / 2246 ] simplifiying candidate # 217.808 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 217.808 * * [simplify]: iters left: 6 (19 enodes) 217.813 * * [simplify]: iters left: 5 (72 enodes) 217.834 * * [simplify]: iters left: 4 (112 enodes) 217.872 * * [simplify]: iters left: 3 (175 enodes) 217.917 * * [simplify]: iters left: 2 (235 enodes) 217.981 * * [simplify]: iters left: 1 (301 enodes) 218.047 * * [simplify]: Extracting #0: cost 1 inf + 0 218.047 * * [simplify]: Extracting #1: cost 11 inf + 0 218.047 * * [simplify]: Extracting #2: cost 48 inf + 0 218.048 * * [simplify]: Extracting #3: cost 74 inf + 84 218.048 * * [simplify]: Extracting #4: cost 68 inf + 1140 218.049 * * [simplify]: Extracting #5: cost 60 inf + 2542 218.052 * * [simplify]: Extracting #6: cost 11 inf + 17433 218.057 * * [simplify]: Extracting #7: cost 0 inf + 20968 218.062 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 218.062 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))))) 218.063 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1))) 218.063 * * [simplify]: iters left: 6 (14 enodes) 218.069 * * [simplify]: iters left: 5 (53 enodes) 218.086 * * [simplify]: iters left: 4 (78 enodes) 218.112 * * [simplify]: iters left: 3 (126 enodes) 218.153 * * [simplify]: iters left: 2 (171 enodes) 218.209 * * [simplify]: iters left: 1 (225 enodes) 218.242 * * [simplify]: Extracting #0: cost 1 inf + 0 218.243 * * [simplify]: Extracting #1: cost 0 inf + 1 218.243 * [simplify]: Simplified to 0 218.243 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 218.243 * * * * [progress]: [ 267 / 2246 ] simplifiying candidate # 218.244 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 218.244 * * [simplify]: iters left: 6 (24 enodes) 218.256 * * [simplify]: iters left: 5 (100 enodes) 218.294 * * [simplify]: iters left: 4 (237 enodes) 218.383 * * [simplify]: Extracting #0: cost 1 inf + 0 218.384 * * [simplify]: Extracting #1: cost 11 inf + 0 218.384 * * [simplify]: Extracting #2: cost 150 inf + 0 218.385 * * [simplify]: Extracting #3: cost 268 inf + 1 218.386 * * [simplify]: Extracting #4: cost 265 inf + 1010 218.387 * * [simplify]: Extracting #5: cost 250 inf + 4731 218.389 * * [simplify]: Extracting #6: cost 226 inf + 12636 218.392 * * [simplify]: Extracting #7: cost 210 inf + 17422 218.396 * * [simplify]: Extracting #8: cost 181 inf + 31235 218.436 * * [simplify]: Extracting #9: cost 35 inf + 117103 218.476 * * [simplify]: Extracting #10: cost 0 inf + 137762 218.522 * * [simplify]: Extracting #11: cost 0 inf + 137642 218.576 * [simplify]: Simplified to (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 218.577 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 218.577 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 218.578 * * [simplify]: iters left: 6 (21 enodes) 218.588 * * [simplify]: iters left: 5 (87 enodes) 218.618 * * [simplify]: iters left: 4 (200 enodes) 218.707 * * [simplify]: Extracting #0: cost 1 inf + 0 218.707 * * [simplify]: Extracting #1: cost 25 inf + 0 218.707 * * [simplify]: Extracting #2: cost 150 inf + 0 218.708 * * [simplify]: Extracting #3: cost 243 inf + 1 218.709 * * [simplify]: Extracting #4: cost 245 inf + 365 218.710 * * [simplify]: Extracting #5: cost 226 inf + 4202 218.712 * * [simplify]: Extracting #6: cost 200 inf + 13225 218.720 * * [simplify]: Extracting #7: cost 154 inf + 36777 218.747 * * [simplify]: Extracting #8: cost 20 inf + 116269 218.793 * * [simplify]: Extracting #9: cost 0 inf + 128603 218.840 * [simplify]: Simplified to (- (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 218.840 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) (- (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 218.841 * * * * [progress]: [ 268 / 2246 ] simplifiying candidate # 218.842 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 218.842 * * [simplify]: iters left: 6 (22 enodes) 218.852 * * [simplify]: iters left: 5 (92 enodes) 218.871 * * [simplify]: iters left: 4 (196 enodes) 218.945 * * [simplify]: Extracting #0: cost 1 inf + 0 218.945 * * [simplify]: Extracting #1: cost 11 inf + 0 218.945 * * [simplify]: Extracting #2: cost 105 inf + 0 218.945 * * [simplify]: Extracting #3: cost 179 inf + 0 218.946 * * [simplify]: Extracting #4: cost 177 inf + 768 218.947 * * [simplify]: Extracting #5: cost 155 inf + 5659 218.949 * * [simplify]: Extracting #6: cost 130 inf + 14624 218.954 * * [simplify]: Extracting #7: cost 92 inf + 31806 218.975 * * [simplify]: Extracting #8: cost 11 inf + 75664 219.007 * * [simplify]: Extracting #9: cost 0 inf + 81822 219.039 * [simplify]: Simplified to (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 219.039 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 219.040 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 219.040 * * [simplify]: iters left: 6 (20 enodes) 219.050 * * [simplify]: iters left: 5 (82 enodes) 219.073 * * [simplify]: iters left: 4 (166 enodes) 219.130 * * [simplify]: Extracting #0: cost 1 inf + 0 219.130 * * [simplify]: Extracting #1: cost 22 inf + 0 219.130 * * [simplify]: Extracting #2: cost 106 inf + 0 219.130 * * [simplify]: Extracting #3: cost 175 inf + 0 219.131 * * [simplify]: Extracting #4: cost 174 inf + 286 219.132 * * [simplify]: Extracting #5: cost 165 inf + 2060 219.133 * * [simplify]: Extracting #6: cost 133 inf + 12055 219.135 * * [simplify]: Extracting #7: cost 124 inf + 14115 219.141 * * [simplify]: Extracting #8: cost 61 inf + 47169 219.163 * * [simplify]: Extracting #9: cost 3 inf + 80053 219.186 * * [simplify]: Extracting #10: cost 0 inf + 81907 219.202 * [simplify]: Simplified to (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 219.202 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))))))) 219.202 * * * * [progress]: [ 269 / 2246 ] simplifiying candidate # 219.202 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 219.203 * * [simplify]: iters left: 6 (22 enodes) 219.214 * * [simplify]: iters left: 5 (89 enodes) 219.247 * * [simplify]: iters left: 4 (208 enodes) 219.362 * * [simplify]: Extracting #0: cost 1 inf + 0 219.362 * * [simplify]: Extracting #1: cost 13 inf + 0 219.362 * * [simplify]: Extracting #2: cost 119 inf + 0 219.363 * * [simplify]: Extracting #3: cost 192 inf + 1 219.365 * * [simplify]: Extracting #4: cost 187 inf + 1133 219.367 * * [simplify]: Extracting #5: cost 167 inf + 5908 219.379 * * [simplify]: Extracting #6: cost 77 inf + 40098 219.406 * * [simplify]: Extracting #7: cost 8 inf + 72700 219.434 * * [simplify]: Extracting #8: cost 0 inf + 76724 219.462 * [simplify]: Simplified to (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 219.462 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 219.463 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 219.464 * * [simplify]: iters left: 6 (19 enodes) 219.473 * * [simplify]: iters left: 5 (76 enodes) 219.495 * * [simplify]: iters left: 4 (173 enodes) 219.566 * * [simplify]: Extracting #0: cost 1 inf + 0 219.566 * * [simplify]: Extracting #1: cost 14 inf + 0 219.566 * * [simplify]: Extracting #2: cost 90 inf + 0 219.567 * * [simplify]: Extracting #3: cost 150 inf + 1 219.568 * * [simplify]: Extracting #4: cost 151 inf + 286 219.569 * * [simplify]: Extracting #5: cost 139 inf + 2371 219.573 * * [simplify]: Extracting #6: cost 93 inf + 16977 219.590 * * [simplify]: Extracting #7: cost 13 inf + 53665 219.602 * * [simplify]: Extracting #8: cost 0 inf + 59778 219.612 * [simplify]: Simplified to (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 219.613 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 219.613 * * * * [progress]: [ 270 / 2246 ] simplifiying candidate # 219.613 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 219.613 * * [simplify]: iters left: 6 (24 enodes) 219.621 * * [simplify]: iters left: 5 (99 enodes) 219.651 * * [simplify]: iters left: 4 (175 enodes) 219.734 * * [simplify]: iters left: 3 (492 enodes) 220.118 * * [simplify]: Extracting #0: cost 1 inf + 0 220.118 * * [simplify]: Extracting #1: cost 15 inf + 0 220.118 * * [simplify]: Extracting #2: cost 163 inf + 0 220.119 * * [simplify]: Extracting #3: cost 298 inf + 769 220.121 * * [simplify]: Extracting #4: cost 290 inf + 2908 220.123 * * [simplify]: Extracting #5: cost 274 inf + 6324 220.128 * * [simplify]: Extracting #6: cost 215 inf + 25783 220.137 * * [simplify]: Extracting #7: cost 157 inf + 49437 220.179 * * [simplify]: Extracting #8: cost 37 inf + 108052 220.215 * * [simplify]: Extracting #9: cost 1 inf + 125185 220.269 * * [simplify]: Extracting #10: cost 0 inf + 125603 220.325 * [simplify]: Simplified to (- (/ (/ (cbrt 1/2) (/ (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt 1/2))) (/ (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt 1/2))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 220.325 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ (cbrt 1/2) (/ (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt 1/2))) (/ (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt 1/2))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 220.326 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 220.326 * * [simplify]: iters left: 6 (20 enodes) 220.337 * * [simplify]: iters left: 5 (82 enodes) 220.355 * * [simplify]: iters left: 4 (138 enodes) 220.400 * * [simplify]: iters left: 3 (402 enodes) 220.742 * * [simplify]: Extracting #0: cost 1 inf + 0 220.743 * * [simplify]: Extracting #1: cost 0 inf + 1 220.743 * [simplify]: Simplified to 0 220.743 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 0))) 220.743 * * * * [progress]: [ 271 / 2246 ] simplifiying candidate # 220.744 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 220.744 * * [simplify]: iters left: 6 (24 enodes) 220.757 * * [simplify]: iters left: 5 (99 enodes) 220.781 * * [simplify]: iters left: 4 (175 enodes) 220.840 * * [simplify]: iters left: 3 (492 enodes) 221.114 * * [simplify]: Extracting #0: cost 1 inf + 0 221.114 * * [simplify]: Extracting #1: cost 15 inf + 0 221.114 * * [simplify]: Extracting #2: cost 163 inf + 0 221.115 * * [simplify]: Extracting #3: cost 298 inf + 769 221.117 * * [simplify]: Extracting #4: cost 290 inf + 2908 221.119 * * [simplify]: Extracting #5: cost 274 inf + 6324 221.124 * * [simplify]: Extracting #6: cost 215 inf + 25783 221.133 * * [simplify]: Extracting #7: cost 157 inf + 49437 221.169 * * [simplify]: Extracting #8: cost 37 inf + 108052 221.225 * * [simplify]: Extracting #9: cost 1 inf + 125185 221.257 * * [simplify]: Extracting #10: cost 0 inf + 125603 221.314 * [simplify]: Simplified to (- (/ (/ (cbrt 1/2) (/ (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt 1/2))) (/ (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt 1/2))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 221.314 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ (cbrt 1/2) (/ (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt 1/2))) (/ (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt 1/2))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 221.315 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 221.315 * * [simplify]: iters left: 6 (20 enodes) 221.326 * * [simplify]: iters left: 5 (82 enodes) 221.354 * * [simplify]: iters left: 4 (138 enodes) 221.395 * * [simplify]: iters left: 3 (402 enodes) 221.690 * * [simplify]: Extracting #0: cost 1 inf + 0 221.690 * * [simplify]: Extracting #1: cost 0 inf + 1 221.690 * [simplify]: Simplified to 0 221.690 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 0))) 221.690 * * * * [progress]: [ 272 / 2246 ] simplifiying candidate # 221.690 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 221.690 * * [simplify]: iters left: 6 (22 enodes) 221.697 * * [simplify]: iters left: 5 (89 enodes) 221.727 * * [simplify]: iters left: 4 (208 enodes) 221.788 * * [simplify]: Extracting #0: cost 1 inf + 0 221.788 * * [simplify]: Extracting #1: cost 13 inf + 0 221.788 * * [simplify]: Extracting #2: cost 119 inf + 0 221.788 * * [simplify]: Extracting #3: cost 192 inf + 1 221.789 * * [simplify]: Extracting #4: cost 187 inf + 1133 221.790 * * [simplify]: Extracting #5: cost 167 inf + 5908 221.796 * * [simplify]: Extracting #6: cost 77 inf + 40098 221.809 * * [simplify]: Extracting #7: cost 8 inf + 72700 221.826 * * [simplify]: Extracting #8: cost 0 inf + 76724 221.841 * [simplify]: Simplified to (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 221.841 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 221.841 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 221.841 * * [simplify]: iters left: 6 (19 enodes) 221.849 * * [simplify]: iters left: 5 (76 enodes) 221.876 * * [simplify]: iters left: 4 (173 enodes) 221.941 * * [simplify]: Extracting #0: cost 1 inf + 0 221.941 * * [simplify]: Extracting #1: cost 14 inf + 0 221.942 * * [simplify]: Extracting #2: cost 90 inf + 0 221.942 * * [simplify]: Extracting #3: cost 150 inf + 1 221.943 * * [simplify]: Extracting #4: cost 151 inf + 286 221.944 * * [simplify]: Extracting #5: cost 139 inf + 2371 221.946 * * [simplify]: Extracting #6: cost 93 inf + 16977 221.954 * * [simplify]: Extracting #7: cost 13 inf + 53665 221.967 * * [simplify]: Extracting #8: cost 0 inf + 59778 221.989 * [simplify]: Simplified to (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 221.990 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 221.990 * * * * [progress]: [ 273 / 2246 ] simplifiying candidate # 221.991 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 221.991 * * [simplify]: iters left: 6 (23 enodes) 222.002 * * [simplify]: iters left: 5 (94 enodes) 222.026 * * [simplify]: iters left: 4 (206 enodes) 222.093 * * [simplify]: Extracting #0: cost 1 inf + 0 222.093 * * [simplify]: Extracting #1: cost 11 inf + 0 222.093 * * [simplify]: Extracting #2: cost 109 inf + 0 222.094 * * [simplify]: Extracting #3: cost 193 inf + 0 222.094 * * [simplify]: Extracting #4: cost 191 inf + 727 222.095 * * [simplify]: Extracting #5: cost 177 inf + 3252 222.097 * * [simplify]: Extracting #6: cost 159 inf + 8915 222.098 * * [simplify]: Extracting #7: cost 153 inf + 10321 222.101 * * [simplify]: Extracting #8: cost 131 inf + 18477 222.124 * * [simplify]: Extracting #9: cost 38 inf + 69951 222.156 * * [simplify]: Extracting #10: cost 0 inf + 92315 222.179 * * [simplify]: Extracting #11: cost 0 inf + 91195 222.203 * * [simplify]: Extracting #12: cost 0 inf + 91155 222.222 * [simplify]: Simplified to (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (* (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt 1/2)) (/ (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 222.222 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (* (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt 1/2)) (/ (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 222.223 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 222.223 * * [simplify]: iters left: 6 (20 enodes) 222.229 * * [simplify]: iters left: 5 (81 enodes) 222.249 * * [simplify]: iters left: 4 (169 enodes) 222.301 * * [simplify]: Extracting #0: cost 1 inf + 0 222.302 * * [simplify]: Extracting #1: cost 22 inf + 0 222.302 * * [simplify]: Extracting #2: cost 104 inf + 0 222.303 * * [simplify]: Extracting #3: cost 169 inf + 0 222.304 * * [simplify]: Extracting #4: cost 160 inf + 1174 222.306 * * [simplify]: Extracting #5: cost 140 inf + 5986 222.309 * * [simplify]: Extracting #6: cost 136 inf + 7316 222.311 * * [simplify]: Extracting #7: cost 132 inf + 7868 222.319 * * [simplify]: Extracting #8: cost 72 inf + 39468 222.336 * * [simplify]: Extracting #9: cost 3 inf + 80030 222.358 * * [simplify]: Extracting #10: cost 0 inf + 81164 222.383 * * [simplify]: Extracting #11: cost 0 inf + 80644 222.400 * * [simplify]: Extracting #12: cost 0 inf + 80484 222.421 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) 222.421 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))))))) 222.422 * * * * [progress]: [ 274 / 2246 ] simplifiying candidate # 222.423 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 222.423 * * [simplify]: iters left: 6 (21 enodes) 222.433 * * [simplify]: iters left: 5 (85 enodes) 222.462 * * [simplify]: iters left: 4 (168 enodes) 222.536 * * [simplify]: iters left: 3 (416 enodes) 223.097 * * [simplify]: Extracting #0: cost 1 inf + 0 223.097 * * [simplify]: Extracting #1: cost 17 inf + 0 223.097 * * [simplify]: Extracting #2: cost 135 inf + 0 223.099 * * [simplify]: Extracting #3: cost 250 inf + 0 223.102 * * [simplify]: Extracting #4: cost 245 inf + 1011 223.105 * * [simplify]: Extracting #5: cost 230 inf + 4830 223.116 * * [simplify]: Extracting #6: cost 200 inf + 12305 223.130 * * [simplify]: Extracting #7: cost 152 inf + 33569 223.175 * * [simplify]: Extracting #8: cost 21 inf + 98847 223.217 * * [simplify]: Extracting #9: cost 0 inf + 109665 223.251 * [simplify]: Simplified to (* (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (hypot 1 x)) (sqrt (hypot 1 x)))))) 223.251 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (hypot 1 x)) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 223.252 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 223.252 * * [simplify]: iters left: 6 (19 enodes) 223.258 * * [simplify]: iters left: 5 (75 enodes) 223.271 * * [simplify]: iters left: 4 (138 enodes) 223.310 * * [simplify]: iters left: 3 (364 enodes) 223.514 * * [simplify]: Extracting #0: cost 1 inf + 0 223.515 * * [simplify]: Extracting #1: cost 0 inf + 1 223.515 * [simplify]: Simplified to 0 223.515 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 223.515 * * * * [progress]: [ 275 / 2246 ] simplifiying candidate # 223.515 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 223.516 * * [simplify]: iters left: 6 (21 enodes) 223.525 * * [simplify]: iters left: 5 (84 enodes) 223.541 * * [simplify]: iters left: 4 (164 enodes) 223.599 * * [simplify]: iters left: 3 (402 enodes) 223.814 * * [simplify]: Extracting #0: cost 1 inf + 0 223.814 * * [simplify]: Extracting #1: cost 15 inf + 0 223.814 * * [simplify]: Extracting #2: cost 127 inf + 0 223.816 * * [simplify]: Extracting #3: cost 233 inf + 406 223.819 * * [simplify]: Extracting #4: cost 227 inf + 2142 223.823 * * [simplify]: Extracting #5: cost 215 inf + 4307 223.829 * * [simplify]: Extracting #6: cost 134 inf + 32878 223.847 * * [simplify]: Extracting #7: cost 17 inf + 81714 223.877 * * [simplify]: Extracting #8: cost 0 inf + 88885 223.920 * * [simplify]: Extracting #9: cost 0 inf + 88860 223.948 * [simplify]: Simplified to (* (cbrt 1/2) (- (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 223.948 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (cbrt 1/2) (- (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))))) 223.949 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1))) 223.949 * * [simplify]: iters left: 6 (18 enodes) 223.954 * * [simplify]: iters left: 5 (71 enodes) 223.966 * * [simplify]: iters left: 4 (130 enodes) 223.998 * * [simplify]: iters left: 3 (341 enodes) 224.190 * * [simplify]: Extracting #0: cost 1 inf + 0 224.190 * * [simplify]: Extracting #1: cost 0 inf + 1 224.190 * [simplify]: Simplified to 0 224.190 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 0))) 224.190 * * * * [progress]: [ 276 / 2246 ] simplifiying candidate # 224.191 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) 224.191 * * [simplify]: iters left: 6 (23 enodes) 224.198 * * [simplify]: iters left: 5 (93 enodes) 224.213 * * [simplify]: iters left: 4 (152 enodes) 224.262 * * [simplify]: iters left: 3 (378 enodes) 224.454 * * [simplify]: Extracting #0: cost 1 inf + 0 224.455 * * [simplify]: Extracting #1: cost 15 inf + 0 224.455 * * [simplify]: Extracting #2: cost 104 inf + 0 224.457 * * [simplify]: Extracting #3: cost 187 inf + 690 224.459 * * [simplify]: Extracting #4: cost 186 inf + 2504 224.462 * * [simplify]: Extracting #5: cost 173 inf + 5223 224.470 * * [simplify]: Extracting #6: cost 130 inf + 17773 224.495 * * [simplify]: Extracting #7: cost 42 inf + 55322 224.533 * * [simplify]: Extracting #8: cost 9 inf + 69896 224.569 * * [simplify]: Extracting #9: cost 0 inf + 74058 224.604 * * [simplify]: Extracting #10: cost 0 inf + 74018 224.624 * [simplify]: Simplified to (* (cbrt 1/2) (- (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 224.624 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (cbrt 1/2) (- (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))))) 224.625 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)))) 224.625 * * [simplify]: iters left: 6 (19 enodes) 224.630 * * [simplify]: iters left: 5 (76 enodes) 224.649 * * [simplify]: iters left: 4 (115 enodes) 224.688 * * [simplify]: iters left: 3 (283 enodes) 224.811 * * [simplify]: Extracting #0: cost 1 inf + 0 224.811 * * [simplify]: Extracting #1: cost 28 inf + 0 224.812 * * [simplify]: Extracting #2: cost 102 inf + 1 224.812 * * [simplify]: Extracting #3: cost 142 inf + 691 224.813 * * [simplify]: Extracting #4: cost 131 inf + 3683 224.818 * * [simplify]: Extracting #5: cost 102 inf + 11388 224.821 * * [simplify]: Extracting #6: cost 97 inf + 12896 224.829 * * [simplify]: Extracting #7: cost 45 inf + 33427 224.853 * * [simplify]: Extracting #8: cost 0 inf + 53907 224.882 * * [simplify]: Extracting #9: cost 0 inf + 53757 224.899 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 224.899 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 224.899 * * * * [progress]: [ 277 / 2246 ] simplifiying candidate # 224.899 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) 224.899 * * [simplify]: iters left: 6 (23 enodes) 224.907 * * [simplify]: iters left: 5 (93 enodes) 224.927 * * [simplify]: iters left: 4 (152 enodes) 224.987 * * [simplify]: iters left: 3 (378 enodes) 225.185 * * [simplify]: Extracting #0: cost 1 inf + 0 225.185 * * [simplify]: Extracting #1: cost 15 inf + 0 225.185 * * [simplify]: Extracting #2: cost 104 inf + 0 225.186 * * [simplify]: Extracting #3: cost 187 inf + 690 225.187 * * [simplify]: Extracting #4: cost 186 inf + 2504 225.189 * * [simplify]: Extracting #5: cost 173 inf + 5223 225.193 * * [simplify]: Extracting #6: cost 130 inf + 17773 225.206 * * [simplify]: Extracting #7: cost 42 inf + 55322 225.238 * * [simplify]: Extracting #8: cost 9 inf + 69896 225.273 * * [simplify]: Extracting #9: cost 0 inf + 74058 225.309 * * [simplify]: Extracting #10: cost 0 inf + 74018 225.340 * [simplify]: Simplified to (* (cbrt 1/2) (- (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 225.340 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (cbrt 1/2) (- (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))))) 225.341 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)))) 225.341 * * [simplify]: iters left: 6 (19 enodes) 225.347 * * [simplify]: iters left: 5 (76 enodes) 225.361 * * [simplify]: iters left: 4 (115 enodes) 225.410 * * [simplify]: iters left: 3 (283 enodes) 225.593 * * [simplify]: Extracting #0: cost 1 inf + 0 225.594 * * [simplify]: Extracting #1: cost 28 inf + 0 225.594 * * [simplify]: Extracting #2: cost 102 inf + 1 225.594 * * [simplify]: Extracting #3: cost 142 inf + 691 225.595 * * [simplify]: Extracting #4: cost 131 inf + 3683 225.600 * * [simplify]: Extracting #5: cost 102 inf + 11388 225.603 * * [simplify]: Extracting #6: cost 97 inf + 12896 225.617 * * [simplify]: Extracting #7: cost 45 inf + 33427 225.644 * * [simplify]: Extracting #8: cost 0 inf + 53907 225.670 * * [simplify]: Extracting #9: cost 0 inf + 53757 225.684 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 225.684 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 225.684 * * * * [progress]: [ 278 / 2246 ] simplifiying candidate # 225.684 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 225.685 * * [simplify]: iters left: 6 (21 enodes) 225.690 * * [simplify]: iters left: 5 (84 enodes) 225.710 * * [simplify]: iters left: 4 (164 enodes) 225.765 * * [simplify]: iters left: 3 (402 enodes) 226.048 * * [simplify]: Extracting #0: cost 1 inf + 0 226.049 * * [simplify]: Extracting #1: cost 15 inf + 0 226.049 * * [simplify]: Extracting #2: cost 127 inf + 0 226.051 * * [simplify]: Extracting #3: cost 233 inf + 406 226.054 * * [simplify]: Extracting #4: cost 227 inf + 2142 226.058 * * [simplify]: Extracting #5: cost 215 inf + 4307 226.070 * * [simplify]: Extracting #6: cost 134 inf + 32878 226.107 * * [simplify]: Extracting #7: cost 17 inf + 81714 226.141 * * [simplify]: Extracting #8: cost 0 inf + 88885 226.170 * * [simplify]: Extracting #9: cost 0 inf + 88860 226.213 * [simplify]: Simplified to (* (cbrt 1/2) (- (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 226.214 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (cbrt 1/2) (- (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))))) 226.214 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1))) 226.215 * * [simplify]: iters left: 6 (18 enodes) 226.224 * * [simplify]: iters left: 5 (71 enodes) 226.249 * * [simplify]: iters left: 4 (130 enodes) 226.307 * * [simplify]: iters left: 3 (341 enodes) 226.519 * * [simplify]: Extracting #0: cost 1 inf + 0 226.519 * * [simplify]: Extracting #1: cost 0 inf + 1 226.519 * [simplify]: Simplified to 0 226.519 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 0))) 226.520 * * * * [progress]: [ 279 / 2246 ] simplifiying candidate # 226.520 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 226.520 * * [simplify]: iters left: 6 (22 enodes) 226.527 * * [simplify]: iters left: 5 (89 enodes) 226.560 * * [simplify]: iters left: 4 (202 enodes) 226.659 * * [simplify]: Extracting #0: cost 1 inf + 0 226.659 * * [simplify]: Extracting #1: cost 11 inf + 0 226.659 * * [simplify]: Extracting #2: cost 94 inf + 0 226.660 * * [simplify]: Extracting #3: cost 161 inf + 1 226.660 * * [simplify]: Extracting #4: cost 156 inf + 345 226.661 * * [simplify]: Extracting #5: cost 135 inf + 4824 226.662 * * [simplify]: Extracting #6: cost 132 inf + 5915 226.663 * * [simplify]: Extracting #7: cost 129 inf + 6285 226.668 * * [simplify]: Extracting #8: cost 82 inf + 27146 226.682 * * [simplify]: Extracting #9: cost 6 inf + 66114 226.706 * * [simplify]: Extracting #10: cost 0 inf + 68207 226.726 * * [simplify]: Extracting #11: cost 0 inf + 68007 226.744 * [simplify]: Simplified to (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (* (/ (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (hypot 1 x)) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 226.744 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (* (/ (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (hypot 1 x)) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 226.744 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 226.745 * * [simplify]: iters left: 6 (19 enodes) 226.752 * * [simplify]: iters left: 5 (76 enodes) 226.780 * * [simplify]: iters left: 4 (163 enodes) 226.838 * * [simplify]: iters left: 3 (466 enodes) 227.189 * * [simplify]: Extracting #0: cost 1 inf + 0 227.190 * * [simplify]: Extracting #1: cost 0 inf + 1 227.190 * [simplify]: Simplified to 0 227.190 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 227.190 * * * * [progress]: [ 280 / 2246 ] simplifiying candidate # 227.190 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 227.190 * * [simplify]: iters left: 6 (20 enodes) 227.196 * * [simplify]: iters left: 5 (79 enodes) 227.211 * * [simplify]: iters left: 4 (167 enodes) 227.263 * * [simplify]: iters left: 3 (419 enodes) 227.507 * * [simplify]: Extracting #0: cost 1 inf + 0 227.508 * * [simplify]: Extracting #1: cost 34 inf + 0 227.508 * * [simplify]: Extracting #2: cost 139 inf + 1 227.509 * * [simplify]: Extracting #3: cost 212 inf + 568 227.511 * * [simplify]: Extracting #4: cost 186 inf + 4911 227.517 * * [simplify]: Extracting #5: cost 118 inf + 27872 227.539 * * [simplify]: Extracting #6: cost 14 inf + 73708 227.562 * * [simplify]: Extracting #7: cost 0 inf + 79600 227.612 * * [simplify]: Extracting #8: cost 0 inf + 79520 227.639 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 227.639 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 227.639 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 227.640 * * [simplify]: iters left: 6 (18 enodes) 227.644 * * [simplify]: iters left: 5 (71 enodes) 227.662 * * [simplify]: iters left: 4 (132 enodes) 227.692 * * [simplify]: iters left: 3 (327 enodes) 227.870 * * [simplify]: Extracting #0: cost 1 inf + 0 227.870 * * [simplify]: Extracting #1: cost 0 inf + 1 227.870 * [simplify]: Simplified to 0 227.870 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 227.870 * * * * [progress]: [ 281 / 2246 ] simplifiying candidate # 227.871 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 227.871 * * [simplify]: iters left: 6 (20 enodes) 227.876 * * [simplify]: iters left: 5 (75 enodes) 227.890 * * [simplify]: iters left: 4 (154 enodes) 227.927 * * [simplify]: iters left: 3 (338 enodes) 228.115 * * [simplify]: Extracting #0: cost 1 inf + 0 228.115 * * [simplify]: Extracting #1: cost 16 inf + 0 228.116 * * [simplify]: Extracting #2: cost 136 inf + 0 228.117 * * [simplify]: Extracting #3: cost 188 inf + 407 228.118 * * [simplify]: Extracting #4: cost 169 inf + 4357 228.122 * * [simplify]: Extracting #5: cost 101 inf + 24389 228.142 * * [simplify]: Extracting #6: cost 9 inf + 62416 228.160 * * [simplify]: Extracting #7: cost 0 inf + 65709 228.178 * * [simplify]: Extracting #8: cost 0 inf + 65524 228.204 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 228.204 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))))) 228.204 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1))) 228.204 * * [simplify]: iters left: 6 (17 enodes) 228.209 * * [simplify]: iters left: 5 (62 enodes) 228.221 * * [simplify]: iters left: 4 (117 enodes) 228.259 * * [simplify]: iters left: 3 (259 enodes) 228.368 * * [simplify]: Extracting #0: cost 1 inf + 0 228.368 * * [simplify]: Extracting #1: cost 0 inf + 1 228.368 * [simplify]: Simplified to 0 228.368 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 0))) 228.368 * * * * [progress]: [ 282 / 2246 ] simplifiying candidate # 228.369 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 228.369 * * [simplify]: iters left: 6 (22 enodes) 228.381 * * [simplify]: iters left: 5 (88 enodes) 228.403 * * [simplify]: iters left: 4 (158 enodes) 228.438 * * [simplify]: iters left: 3 (341 enodes) 228.589 * * [simplify]: Extracting #0: cost 1 inf + 0 228.590 * * [simplify]: Extracting #1: cost 16 inf + 0 228.590 * * [simplify]: Extracting #2: cost 114 inf + 0 228.590 * * [simplify]: Extracting #3: cost 162 inf + 811 228.591 * * [simplify]: Extracting #4: cost 151 inf + 2832 228.594 * * [simplify]: Extracting #5: cost 128 inf + 7309 228.603 * * [simplify]: Extracting #6: cost 85 inf + 21270 228.621 * * [simplify]: Extracting #7: cost 19 inf + 47346 228.634 * * [simplify]: Extracting #8: cost 0 inf + 55928 228.652 * * [simplify]: Extracting #9: cost 0 inf + 55737 228.678 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 228.678 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))))) 228.679 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)))) 228.679 * * [simplify]: iters left: 6 (18 enodes) 228.690 * * [simplify]: iters left: 5 (71 enodes) 228.711 * * [simplify]: iters left: 4 (123 enodes) 228.758 * * [simplify]: iters left: 3 (278 enodes) 228.924 * * [simplify]: Extracting #0: cost 1 inf + 0 228.924 * * [simplify]: Extracting #1: cost 0 inf + 1 228.924 * [simplify]: Simplified to 0 228.925 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 0))) 228.925 * * * * [progress]: [ 283 / 2246 ] simplifiying candidate # 228.925 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 228.926 * * [simplify]: iters left: 6 (22 enodes) 228.940 * * [simplify]: iters left: 5 (88 enodes) 228.965 * * [simplify]: iters left: 4 (158 enodes) 229.029 * * [simplify]: iters left: 3 (341 enodes) 229.151 * * [simplify]: Extracting #0: cost 1 inf + 0 229.151 * * [simplify]: Extracting #1: cost 16 inf + 0 229.152 * * [simplify]: Extracting #2: cost 114 inf + 0 229.152 * * [simplify]: Extracting #3: cost 162 inf + 811 229.153 * * [simplify]: Extracting #4: cost 151 inf + 2832 229.155 * * [simplify]: Extracting #5: cost 128 inf + 7309 229.159 * * [simplify]: Extracting #6: cost 85 inf + 21270 229.170 * * [simplify]: Extracting #7: cost 19 inf + 47346 229.186 * * [simplify]: Extracting #8: cost 0 inf + 55928 229.204 * * [simplify]: Extracting #9: cost 0 inf + 55737 229.230 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 229.230 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))))) 229.231 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)))) 229.231 * * [simplify]: iters left: 6 (18 enodes) 229.242 * * [simplify]: iters left: 5 (71 enodes) 229.265 * * [simplify]: iters left: 4 (123 enodes) 229.313 * * [simplify]: iters left: 3 (278 enodes) 229.419 * * [simplify]: Extracting #0: cost 1 inf + 0 229.419 * * [simplify]: Extracting #1: cost 0 inf + 1 229.419 * [simplify]: Simplified to 0 229.419 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 0))) 229.419 * * * * [progress]: [ 284 / 2246 ] simplifiying candidate # 229.420 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 229.420 * * [simplify]: iters left: 6 (20 enodes) 229.430 * * [simplify]: iters left: 5 (75 enodes) 229.457 * * [simplify]: iters left: 4 (154 enodes) 229.501 * * [simplify]: iters left: 3 (338 enodes) 229.698 * * [simplify]: Extracting #0: cost 1 inf + 0 229.698 * * [simplify]: Extracting #1: cost 16 inf + 0 229.699 * * [simplify]: Extracting #2: cost 136 inf + 0 229.700 * * [simplify]: Extracting #3: cost 188 inf + 407 229.703 * * [simplify]: Extracting #4: cost 169 inf + 4357 229.715 * * [simplify]: Extracting #5: cost 101 inf + 24389 229.731 * * [simplify]: Extracting #6: cost 9 inf + 62416 229.746 * * [simplify]: Extracting #7: cost 0 inf + 65709 229.766 * * [simplify]: Extracting #8: cost 0 inf + 65524 229.782 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 229.782 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))))) 229.782 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1))) 229.782 * * [simplify]: iters left: 6 (17 enodes) 229.787 * * [simplify]: iters left: 5 (62 enodes) 229.806 * * [simplify]: iters left: 4 (117 enodes) 229.832 * * [simplify]: iters left: 3 (259 enodes) 229.946 * * [simplify]: Extracting #0: cost 1 inf + 0 229.946 * * [simplify]: Extracting #1: cost 0 inf + 1 229.946 * [simplify]: Simplified to 0 229.946 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 0))) 229.947 * * * * [progress]: [ 285 / 2246 ] simplifiying candidate # 229.947 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 229.947 * * [simplify]: iters left: 6 (25 enodes) 229.954 * * [simplify]: iters left: 5 (99 enodes) 229.971 * * [simplify]: iters left: 4 (205 enodes) 230.039 * * [simplify]: Extracting #0: cost 1 inf + 0 230.039 * * [simplify]: Extracting #1: cost 11 inf + 0 230.040 * * [simplify]: Extracting #2: cost 112 inf + 0 230.040 * * [simplify]: Extracting #3: cost 203 inf + 0 230.041 * * [simplify]: Extracting #4: cost 201 inf + 527 230.042 * * [simplify]: Extracting #5: cost 182 inf + 4165 230.043 * * [simplify]: Extracting #6: cost 167 inf + 8789 230.045 * * [simplify]: Extracting #7: cost 148 inf + 15389 230.058 * * [simplify]: Extracting #8: cost 48 inf + 70084 230.097 * * [simplify]: Extracting #9: cost 2 inf + 95152 230.128 * * [simplify]: Extracting #10: cost 0 inf + 95773 230.150 * * [simplify]: Extracting #11: cost 0 inf + 95733 230.189 * [simplify]: Simplified to (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ (* (sqrt 1/2) (/ (sqrt 1/2) (* (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 230.189 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ (* (sqrt 1/2) (/ (sqrt 1/2) (* (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 230.190 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 230.191 * * [simplify]: iters left: 6 (20 enodes) 230.201 * * [simplify]: iters left: 5 (80 enodes) 230.228 * * [simplify]: iters left: 4 (163 enodes) 230.273 * * [simplify]: iters left: 3 (493 enodes) 230.563 * * [simplify]: Extracting #0: cost 1 inf + 0 230.563 * * [simplify]: Extracting #1: cost 0 inf + 1 230.563 * [simplify]: Simplified to 0 230.563 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 230.563 * * * * [progress]: [ 286 / 2246 ] simplifiying candidate # 230.564 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 230.564 * * [simplify]: iters left: 6 (23 enodes) 230.570 * * [simplify]: iters left: 5 (91 enodes) 230.586 * * [simplify]: iters left: 4 (171 enodes) 230.638 * * [simplify]: iters left: 3 (416 enodes) 230.791 * * [simplify]: Extracting #0: cost 1 inf + 0 230.791 * * [simplify]: Extracting #1: cost 11 inf + 0 230.791 * * [simplify]: Extracting #2: cost 118 inf + 0 230.793 * * [simplify]: Extracting #3: cost 222 inf + 1 230.795 * * [simplify]: Extracting #4: cost 220 inf + 489 230.797 * * [simplify]: Extracting #5: cost 208 inf + 2612 230.802 * * [simplify]: Extracting #6: cost 176 inf + 10642 230.813 * * [simplify]: Extracting #7: cost 123 inf + 32855 230.834 * * [simplify]: Extracting #8: cost 16 inf + 83868 230.858 * * [simplify]: Extracting #9: cost 0 inf + 91383 230.882 * [simplify]: Simplified to (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) 230.882 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 230.882 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 230.882 * * [simplify]: iters left: 6 (19 enodes) 230.888 * * [simplify]: iters left: 5 (75 enodes) 230.903 * * [simplify]: iters left: 4 (134 enodes) 230.937 * * [simplify]: iters left: 3 (346 enodes) 231.073 * * [simplify]: Extracting #0: cost 1 inf + 0 231.073 * * [simplify]: Extracting #1: cost 0 inf + 1 231.073 * [simplify]: Simplified to 0 231.073 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 231.073 * * * * [progress]: [ 287 / 2246 ] simplifiying candidate # 231.074 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 231.074 * * [simplify]: iters left: 6 (23 enodes) 231.081 * * [simplify]: iters left: 5 (89 enodes) 231.111 * * [simplify]: iters left: 4 (165 enodes) 231.167 * * [simplify]: iters left: 3 (391 enodes) 231.354 * * [simplify]: Extracting #0: cost 1 inf + 0 231.354 * * [simplify]: Extracting #1: cost 11 inf + 0 231.355 * * [simplify]: Extracting #2: cost 95 inf + 0 231.356 * * [simplify]: Extracting #3: cost 177 inf + 2 231.358 * * [simplify]: Extracting #4: cost 177 inf + 447 231.359 * * [simplify]: Extracting #5: cost 163 inf + 2693 231.368 * * [simplify]: Extracting #6: cost 98 inf + 22649 231.395 * * [simplify]: Extracting #7: cost 12 inf + 57139 231.426 * * [simplify]: Extracting #8: cost 0 inf + 62254 231.457 * [simplify]: Simplified to (- (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) 231.457 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 231.458 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 231.458 * * [simplify]: iters left: 6 (18 enodes) 231.467 * * [simplify]: iters left: 5 (70 enodes) 231.489 * * [simplify]: iters left: 4 (126 enodes) 231.520 * * [simplify]: iters left: 3 (322 enodes) 231.676 * * [simplify]: Extracting #0: cost 1 inf + 0 231.676 * * [simplify]: Extracting #1: cost 0 inf + 1 231.676 * [simplify]: Simplified to 0 231.677 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 231.677 * * * * [progress]: [ 288 / 2246 ] simplifiying candidate # 231.677 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 231.677 * * [simplify]: iters left: 6 (25 enodes) 231.685 * * [simplify]: iters left: 5 (98 enodes) 231.716 * * [simplify]: iters left: 4 (155 enodes) 231.755 * * [simplify]: iters left: 3 (334 enodes) 231.870 * * [simplify]: Extracting #0: cost 1 inf + 0 231.870 * * [simplify]: Extracting #1: cost 11 inf + 0 231.870 * * [simplify]: Extracting #2: cost 99 inf + 0 231.871 * * [simplify]: Extracting #3: cost 176 inf + 1 231.871 * * [simplify]: Extracting #4: cost 175 inf + 728 231.872 * * [simplify]: Extracting #5: cost 170 inf + 1151 231.873 * * [simplify]: Extracting #6: cost 146 inf + 7004 231.890 * * [simplify]: Extracting #7: cost 43 inf + 45004 231.919 * * [simplify]: Extracting #8: cost 2 inf + 62207 231.948 * * [simplify]: Extracting #9: cost 0 inf + 62928 231.980 * [simplify]: Simplified to (- (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) 231.980 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 231.981 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 231.981 * * [simplify]: iters left: 6 (19 enodes) 231.992 * * [simplify]: iters left: 5 (75 enodes) 232.017 * * [simplify]: iters left: 4 (111 enodes) 232.057 * * [simplify]: iters left: 3 (244 enodes) 232.143 * * [simplify]: Extracting #0: cost 1 inf + 0 232.143 * * [simplify]: Extracting #1: cost 18 inf + 0 232.144 * * [simplify]: Extracting #2: cost 75 inf + 1 232.144 * * [simplify]: Extracting #3: cost 123 inf + 1 232.145 * * [simplify]: Extracting #4: cost 115 inf + 1708 232.146 * * [simplify]: Extracting #5: cost 83 inf + 10385 232.149 * * [simplify]: Extracting #6: cost 78 inf + 11373 232.155 * * [simplify]: Extracting #7: cost 25 inf + 31967 232.171 * * [simplify]: Extracting #8: cost 0 inf + 41997 232.194 * * [simplify]: Extracting #9: cost 0 inf + 41872 232.215 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 232.215 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))))))) 232.215 * * * * [progress]: [ 289 / 2246 ] simplifiying candidate # 232.216 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 232.216 * * [simplify]: iters left: 6 (25 enodes) 232.230 * * [simplify]: iters left: 5 (98 enodes) 232.260 * * [simplify]: iters left: 4 (155 enodes) 232.317 * * [simplify]: iters left: 3 (334 enodes) 232.467 * * [simplify]: Extracting #0: cost 1 inf + 0 232.467 * * [simplify]: Extracting #1: cost 11 inf + 0 232.467 * * [simplify]: Extracting #2: cost 99 inf + 0 232.469 * * [simplify]: Extracting #3: cost 176 inf + 1 232.470 * * [simplify]: Extracting #4: cost 175 inf + 728 232.472 * * [simplify]: Extracting #5: cost 170 inf + 1151 232.475 * * [simplify]: Extracting #6: cost 146 inf + 7004 232.494 * * [simplify]: Extracting #7: cost 43 inf + 45004 232.509 * * [simplify]: Extracting #8: cost 2 inf + 62207 232.524 * * [simplify]: Extracting #9: cost 0 inf + 62928 232.545 * [simplify]: Simplified to (- (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) 232.545 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 232.546 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 232.548 * * [simplify]: iters left: 6 (19 enodes) 232.554 * * [simplify]: iters left: 5 (75 enodes) 232.566 * * [simplify]: iters left: 4 (111 enodes) 232.587 * * [simplify]: iters left: 3 (244 enodes) 232.708 * * [simplify]: Extracting #0: cost 1 inf + 0 232.708 * * [simplify]: Extracting #1: cost 18 inf + 0 232.708 * * [simplify]: Extracting #2: cost 75 inf + 1 232.709 * * [simplify]: Extracting #3: cost 123 inf + 1 232.709 * * [simplify]: Extracting #4: cost 115 inf + 1708 232.711 * * [simplify]: Extracting #5: cost 83 inf + 10385 232.713 * * [simplify]: Extracting #6: cost 78 inf + 11373 232.720 * * [simplify]: Extracting #7: cost 25 inf + 31967 232.730 * * [simplify]: Extracting #8: cost 0 inf + 41997 232.753 * * [simplify]: Extracting #9: cost 0 inf + 41872 232.773 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 232.774 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))))))) 232.774 * * * * [progress]: [ 290 / 2246 ] simplifiying candidate # 232.774 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 232.775 * * [simplify]: iters left: 6 (23 enodes) 232.786 * * [simplify]: iters left: 5 (89 enodes) 232.817 * * [simplify]: iters left: 4 (165 enodes) 232.866 * * [simplify]: iters left: 3 (391 enodes) 233.039 * * [simplify]: Extracting #0: cost 1 inf + 0 233.039 * * [simplify]: Extracting #1: cost 11 inf + 0 233.039 * * [simplify]: Extracting #2: cost 95 inf + 0 233.040 * * [simplify]: Extracting #3: cost 177 inf + 2 233.041 * * [simplify]: Extracting #4: cost 177 inf + 447 233.042 * * [simplify]: Extracting #5: cost 163 inf + 2693 233.048 * * [simplify]: Extracting #6: cost 98 inf + 22649 233.073 * * [simplify]: Extracting #7: cost 12 inf + 57139 233.104 * * [simplify]: Extracting #8: cost 0 inf + 62254 233.120 * [simplify]: Simplified to (- (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) 233.120 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 233.120 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 233.120 * * [simplify]: iters left: 6 (18 enodes) 233.125 * * [simplify]: iters left: 5 (70 enodes) 233.143 * * [simplify]: iters left: 4 (126 enodes) 233.175 * * [simplify]: iters left: 3 (322 enodes) 233.345 * * [simplify]: Extracting #0: cost 1 inf + 0 233.345 * * [simplify]: Extracting #1: cost 0 inf + 1 233.345 * [simplify]: Simplified to 0 233.345 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 233.346 * * * * [progress]: [ 291 / 2246 ] simplifiying candidate # 233.346 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 233.347 * * [simplify]: iters left: 6 (23 enodes) 233.362 * * [simplify]: iters left: 5 (91 enodes) 233.392 * * [simplify]: iters left: 4 (179 enodes) 233.460 * * [simplify]: iters left: 3 (411 enodes) 233.625 * * [simplify]: Extracting #0: cost 1 inf + 0 233.626 * * [simplify]: Extracting #1: cost 11 inf + 0 233.626 * * [simplify]: Extracting #2: cost 109 inf + 0 233.628 * * [simplify]: Extracting #3: cost 224 inf + 1 233.629 * * [simplify]: Extracting #4: cost 223 inf + 770 233.632 * * [simplify]: Extracting #5: cost 209 inf + 2649 233.635 * * [simplify]: Extracting #6: cost 197 inf + 5300 233.640 * * [simplify]: Extracting #7: cost 178 inf + 11462 233.663 * * [simplify]: Extracting #8: cost 75 inf + 60780 233.716 * * [simplify]: Extracting #9: cost 4 inf + 96417 233.752 * * [simplify]: Extracting #10: cost 0 inf + 98039 233.790 * * [simplify]: Extracting #11: cost 0 inf + 97959 233.833 * [simplify]: Simplified to (+ (/ -1/2 (* (* (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 233.833 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ -1/2 (* (* (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 233.834 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 233.834 * * [simplify]: iters left: 6 (18 enodes) 233.840 * * [simplify]: iters left: 5 (72 enodes) 233.853 * * [simplify]: iters left: 4 (139 enodes) 233.895 * * [simplify]: iters left: 3 (344 enodes) 234.058 * * [simplify]: Extracting #0: cost 1 inf + 0 234.058 * * [simplify]: Extracting #1: cost 0 inf + 1 234.058 * [simplify]: Simplified to 0 234.058 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 234.058 * * * * [progress]: [ 292 / 2246 ] simplifiying candidate # 234.059 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 234.059 * * [simplify]: iters left: 6 (20 enodes) 234.064 * * [simplify]: iters left: 5 (77 enodes) 234.080 * * [simplify]: iters left: 4 (134 enodes) 234.105 * * [simplify]: iters left: 3 (278 enodes) 234.199 * * [simplify]: Extracting #0: cost 1 inf + 0 234.199 * * [simplify]: Extracting #1: cost 9 inf + 0 234.200 * * [simplify]: Extracting #2: cost 78 inf + 0 234.201 * * [simplify]: Extracting #3: cost 149 inf + 1 234.202 * * [simplify]: Extracting #4: cost 149 inf + 407 234.203 * * [simplify]: Extracting #5: cost 144 inf + 950 234.205 * * [simplify]: Extracting #6: cost 126 inf + 4031 234.207 * * [simplify]: Extracting #7: cost 112 inf + 6523 234.221 * * [simplify]: Extracting #8: cost 47 inf + 32619 234.246 * * [simplify]: Extracting #9: cost 2 inf + 52032 234.272 * * [simplify]: Extracting #10: cost 0 inf + 53068 234.298 * [simplify]: Simplified to (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 234.298 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 234.299 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 234.299 * * [simplify]: iters left: 6 (16 enodes) 234.304 * * [simplify]: iters left: 5 (62 enodes) 234.315 * * [simplify]: iters left: 4 (105 enodes) 234.339 * * [simplify]: iters left: 3 (234 enodes) 234.421 * * [simplify]: Extracting #0: cost 1 inf + 0 234.421 * * [simplify]: Extracting #1: cost 0 inf + 1 234.421 * [simplify]: Simplified to 0 234.421 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 234.421 * * * * [progress]: [ 293 / 2246 ] simplifiying candidate # 234.422 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 234.422 * * [simplify]: iters left: 6 (21 enodes) 234.434 * * [simplify]: iters left: 5 (82 enodes) 234.466 * * [simplify]: iters left: 4 (149 enodes) 234.526 * * [simplify]: iters left: 3 (311 enodes) 234.660 * * [simplify]: Extracting #0: cost 1 inf + 0 234.660 * * [simplify]: Extracting #1: cost 11 inf + 0 234.661 * * [simplify]: Extracting #2: cost 76 inf + 0 234.662 * * [simplify]: Extracting #3: cost 134 inf + 2 234.663 * * [simplify]: Extracting #4: cost 135 inf + 286 234.664 * * [simplify]: Extracting #5: cost 129 inf + 872 234.666 * * [simplify]: Extracting #6: cost 109 inf + 4180 234.679 * * [simplify]: Extracting #7: cost 27 inf + 32053 234.703 * * [simplify]: Extracting #8: cost 0 inf + 41776 234.724 * * [simplify]: Extracting #9: cost 0 inf + 41536 234.745 * [simplify]: Simplified to (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) 234.745 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))))) 234.746 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1))) 234.746 * * [simplify]: iters left: 6 (16 enodes) 234.754 * * [simplify]: iters left: 5 (63 enodes) 234.775 * * [simplify]: iters left: 4 (113 enodes) 234.817 * * [simplify]: iters left: 3 (256 enodes) 234.899 * * [simplify]: Extracting #0: cost 1 inf + 0 234.899 * * [simplify]: Extracting #1: cost 0 inf + 1 234.899 * [simplify]: Simplified to 0 234.899 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 0))) 234.899 * * * * [progress]: [ 294 / 2246 ] simplifiying candidate # 234.900 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 234.900 * * [simplify]: iters left: 6 (23 enodes) 234.916 * * [simplify]: iters left: 5 (91 enodes) 234.945 * * [simplify]: iters left: 4 (142 enodes) 234.982 * * [simplify]: iters left: 3 (294 enodes) 235.089 * * [simplify]: Extracting #0: cost 1 inf + 0 235.089 * * [simplify]: Extracting #1: cost 15 inf + 0 235.090 * * [simplify]: Extracting #2: cost 82 inf + 0 235.090 * * [simplify]: Extracting #3: cost 128 inf + 83 235.091 * * [simplify]: Extracting #4: cost 126 inf + 772 235.093 * * [simplify]: Extracting #5: cost 122 inf + 1354 235.094 * * [simplify]: Extracting #6: cost 107 inf + 3959 235.100 * * [simplify]: Extracting #7: cost 59 inf + 17712 235.118 * * [simplify]: Extracting #8: cost 6 inf + 38421 235.128 * * [simplify]: Extracting #9: cost 0 inf + 41149 235.139 * [simplify]: Simplified to (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ (/ 1/2 (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x)))) (sqrt (hypot 1 x)))) 235.139 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ (/ 1/2 (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x)))) (sqrt (hypot 1 x)))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))))) 235.139 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)))) 235.140 * * [simplify]: iters left: 6 (17 enodes) 235.145 * * [simplify]: iters left: 5 (68 enodes) 235.162 * * [simplify]: iters left: 4 (101 enodes) 235.181 * * [simplify]: iters left: 3 (206 enodes) 235.271 * * [simplify]: iters left: 2 (407 enodes) 235.436 * * [simplify]: Extracting #0: cost 1 inf + 0 235.436 * * [simplify]: Extracting #1: cost 0 inf + 1 235.436 * [simplify]: Simplified to 0 235.436 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 235.436 * * * * [progress]: [ 295 / 2246 ] simplifiying candidate # 235.436 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 235.436 * * [simplify]: iters left: 6 (23 enodes) 235.443 * * [simplify]: iters left: 5 (91 enodes) 235.468 * * [simplify]: iters left: 4 (142 enodes) 235.522 * * [simplify]: iters left: 3 (294 enodes) 235.598 * * [simplify]: Extracting #0: cost 1 inf + 0 235.599 * * [simplify]: Extracting #1: cost 15 inf + 0 235.599 * * [simplify]: Extracting #2: cost 82 inf + 0 235.599 * * [simplify]: Extracting #3: cost 128 inf + 83 235.600 * * [simplify]: Extracting #4: cost 126 inf + 772 235.600 * * [simplify]: Extracting #5: cost 122 inf + 1354 235.601 * * [simplify]: Extracting #6: cost 107 inf + 3959 235.604 * * [simplify]: Extracting #7: cost 59 inf + 17712 235.618 * * [simplify]: Extracting #8: cost 6 inf + 38421 235.638 * * [simplify]: Extracting #9: cost 0 inf + 41149 235.657 * [simplify]: Simplified to (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ (/ 1/2 (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x)))) (sqrt (hypot 1 x)))) 235.657 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ (/ 1/2 (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x)))) (sqrt (hypot 1 x)))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))))) 235.658 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)))) 235.658 * * [simplify]: iters left: 6 (17 enodes) 235.667 * * [simplify]: iters left: 5 (68 enodes) 235.692 * * [simplify]: iters left: 4 (101 enodes) 235.728 * * [simplify]: iters left: 3 (206 enodes) 235.803 * * [simplify]: iters left: 2 (407 enodes) 235.952 * * [simplify]: Extracting #0: cost 1 inf + 0 235.952 * * [simplify]: Extracting #1: cost 0 inf + 1 235.952 * [simplify]: Simplified to 0 235.952 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 235.953 * * * * [progress]: [ 296 / 2246 ] simplifiying candidate # 235.953 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 235.953 * * [simplify]: iters left: 6 (21 enodes) 235.959 * * [simplify]: iters left: 5 (82 enodes) 235.973 * * [simplify]: iters left: 4 (149 enodes) 236.012 * * [simplify]: iters left: 3 (311 enodes) 236.142 * * [simplify]: Extracting #0: cost 1 inf + 0 236.142 * * [simplify]: Extracting #1: cost 11 inf + 0 236.142 * * [simplify]: Extracting #2: cost 76 inf + 0 236.143 * * [simplify]: Extracting #3: cost 134 inf + 2 236.144 * * [simplify]: Extracting #4: cost 135 inf + 286 236.145 * * [simplify]: Extracting #5: cost 129 inf + 872 236.147 * * [simplify]: Extracting #6: cost 109 inf + 4180 236.160 * * [simplify]: Extracting #7: cost 27 inf + 32053 236.181 * * [simplify]: Extracting #8: cost 0 inf + 41776 236.201 * * [simplify]: Extracting #9: cost 0 inf + 41536 236.218 * [simplify]: Simplified to (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) 236.219 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))))) 236.219 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1))) 236.219 * * [simplify]: iters left: 6 (16 enodes) 236.223 * * [simplify]: iters left: 5 (63 enodes) 236.235 * * [simplify]: iters left: 4 (113 enodes) 236.276 * * [simplify]: iters left: 3 (256 enodes) 236.378 * * [simplify]: Extracting #0: cost 1 inf + 0 236.378 * * [simplify]: Extracting #1: cost 0 inf + 1 236.378 * [simplify]: Simplified to 0 236.378 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 0))) 236.378 * * * * [progress]: [ 297 / 2246 ] simplifiying candidate # 236.378 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 236.379 * * [simplify]: iters left: 6 (23 enodes) 236.385 * * [simplify]: iters left: 5 (90 enodes) 236.402 * * [simplify]: iters left: 4 (174 enodes) 236.477 * * [simplify]: iters left: 3 (384 enodes) 236.675 * * [simplify]: Extracting #0: cost 1 inf + 0 236.675 * * [simplify]: Extracting #1: cost 11 inf + 0 236.675 * * [simplify]: Extracting #2: cost 95 inf + 0 236.675 * * [simplify]: Extracting #3: cost 157 inf + 327 236.676 * * [simplify]: Extracting #4: cost 145 inf + 1592 236.677 * * [simplify]: Extracting #5: cost 137 inf + 2851 236.678 * * [simplify]: Extracting #6: cost 135 inf + 3385 236.684 * * [simplify]: Extracting #7: cost 82 inf + 24862 236.700 * * [simplify]: Extracting #8: cost 9 inf + 57099 236.722 * * [simplify]: Extracting #9: cost 0 inf + 61461 236.751 * [simplify]: Simplified to (- (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 236.751 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 236.752 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 236.752 * * [simplify]: iters left: 6 (18 enodes) 236.761 * * [simplify]: iters left: 5 (71 enodes) 236.778 * * [simplify]: iters left: 4 (135 enodes) 236.820 * * [simplify]: iters left: 3 (317 enodes) 236.986 * * [simplify]: Extracting #0: cost 1 inf + 0 236.986 * * [simplify]: Extracting #1: cost 0 inf + 1 236.986 * [simplify]: Simplified to 0 236.986 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 236.986 * * * * [progress]: [ 298 / 2246 ] simplifiying candidate # 236.987 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 236.987 * * [simplify]: iters left: 6 (21 enodes) 236.998 * * [simplify]: iters left: 5 (82 enodes) 237.027 * * [simplify]: iters left: 4 (146 enodes) 237.085 * * [simplify]: iters left: 3 (310 enodes) 237.238 * * [simplify]: Extracting #0: cost 1 inf + 0 237.239 * * [simplify]: Extracting #1: cost 11 inf + 0 237.239 * * [simplify]: Extracting #2: cost 76 inf + 0 237.240 * * [simplify]: Extracting #3: cost 121 inf + 125 237.241 * * [simplify]: Extracting #4: cost 110 inf + 1231 237.243 * * [simplify]: Extracting #5: cost 97 inf + 3416 237.254 * * [simplify]: Extracting #6: cost 28 inf + 27344 237.275 * * [simplify]: Extracting #7: cost 1 inf + 37306 237.288 * * [simplify]: Extracting #8: cost 0 inf + 37684 237.299 * [simplify]: Simplified to (- (* (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 237.299 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 237.299 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 237.299 * * [simplify]: iters left: 6 (17 enodes) 237.304 * * [simplify]: iters left: 5 (66 enodes) 237.321 * * [simplify]: iters left: 4 (111 enodes) 237.368 * * [simplify]: iters left: 3 (224 enodes) 237.452 * * [simplify]: iters left: 2 (415 enodes) 237.631 * * [simplify]: Extracting #0: cost 1 inf + 0 237.632 * * [simplify]: Extracting #1: cost 0 inf + 1 237.632 * [simplify]: Simplified to 0 237.632 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 237.632 * * * * [progress]: [ 299 / 2246 ] simplifiying candidate # 237.633 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 237.633 * * [simplify]: iters left: 6 (21 enodes) 237.644 * * [simplify]: iters left: 5 (76 enodes) 237.670 * * [simplify]: iters left: 4 (133 enodes) 237.719 * * [simplify]: iters left: 3 (225 enodes) 237.770 * * [simplify]: iters left: 2 (392 enodes) 237.911 * * [simplify]: Extracting #0: cost 1 inf + 0 237.911 * * [simplify]: Extracting #1: cost 11 inf + 0 237.911 * * [simplify]: Extracting #2: cost 59 inf + 0 237.912 * * [simplify]: Extracting #3: cost 99 inf + 166 237.912 * * [simplify]: Extracting #4: cost 88 inf + 1450 237.913 * * [simplify]: Extracting #5: cost 67 inf + 4924 237.918 * * [simplify]: Extracting #6: cost 9 inf + 24025 237.931 * * [simplify]: Extracting #7: cost 0 inf + 27012 237.945 * * [simplify]: Extracting #8: cost 0 inf + 26937 237.959 * [simplify]: Simplified to (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 237.959 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))))) 237.960 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1))) 237.960 * * [simplify]: iters left: 6 (16 enodes) 237.968 * * [simplify]: iters left: 5 (58 enodes) 237.991 * * [simplify]: iters left: 4 (106 enodes) 238.026 * * [simplify]: iters left: 3 (186 enodes) 238.093 * * [simplify]: iters left: 2 (342 enodes) 238.186 * * [simplify]: iters left: 1 (486 enodes) 238.330 * * [simplify]: Extracting #0: cost 1 inf + 0 238.330 * * [simplify]: Extracting #1: cost 0 inf + 1 238.330 * [simplify]: Simplified to 0 238.330 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 0))) 238.331 * * * * [progress]: [ 300 / 2246 ] simplifiying candidate # 238.331 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 238.331 * * [simplify]: iters left: 6 (23 enodes) 238.344 * * [simplify]: iters left: 5 (89 enodes) 238.364 * * [simplify]: iters left: 4 (139 enodes) 238.392 * * [simplify]: iters left: 3 (224 enodes) 238.465 * * [simplify]: iters left: 2 (344 enodes) 238.553 * * [simplify]: iters left: 1 (462 enodes) 238.745 * * [simplify]: Extracting #0: cost 1 inf + 0 238.745 * * [simplify]: Extracting #1: cost 11 inf + 0 238.745 * * [simplify]: Extracting #2: cost 61 inf + 0 238.746 * * [simplify]: Extracting #3: cost 100 inf + 84 238.747 * * [simplify]: Extracting #4: cost 96 inf + 888 238.748 * * [simplify]: Extracting #5: cost 79 inf + 2936 238.754 * * [simplify]: Extracting #6: cost 50 inf + 10544 238.767 * * [simplify]: Extracting #7: cost 4 inf + 26066 238.782 * * [simplify]: Extracting #8: cost 0 inf + 27448 238.798 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 238.799 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))))) 238.799 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1)))) 238.799 * * [simplify]: iters left: 6 (17 enodes) 238.811 * * [simplify]: iters left: 5 (66 enodes) 238.831 * * [simplify]: iters left: 4 (101 enodes) 238.862 * * [simplify]: iters left: 3 (170 enodes) 238.901 * * [simplify]: iters left: 2 (266 enodes) 239.001 * * [simplify]: iters left: 1 (380 enodes) 239.149 * * [simplify]: Extracting #0: cost 1 inf + 0 239.149 * * [simplify]: Extracting #1: cost 0 inf + 1 239.149 * [simplify]: Simplified to 0 239.149 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 239.149 * * * * [progress]: [ 301 / 2246 ] simplifiying candidate # 239.149 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 239.149 * * [simplify]: iters left: 6 (23 enodes) 239.156 * * [simplify]: iters left: 5 (89 enodes) 239.183 * * [simplify]: iters left: 4 (139 enodes) 239.227 * * [simplify]: iters left: 3 (224 enodes) 239.298 * * [simplify]: iters left: 2 (344 enodes) 239.402 * * [simplify]: iters left: 1 (462 enodes) 239.579 * * [simplify]: Extracting #0: cost 1 inf + 0 239.579 * * [simplify]: Extracting #1: cost 11 inf + 0 239.579 * * [simplify]: Extracting #2: cost 61 inf + 0 239.580 * * [simplify]: Extracting #3: cost 100 inf + 84 239.581 * * [simplify]: Extracting #4: cost 96 inf + 888 239.582 * * [simplify]: Extracting #5: cost 79 inf + 2936 239.587 * * [simplify]: Extracting #6: cost 50 inf + 10544 239.603 * * [simplify]: Extracting #7: cost 4 inf + 26066 239.619 * * [simplify]: Extracting #8: cost 0 inf + 27448 239.629 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 239.629 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))))) 239.629 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1)))) 239.629 * * [simplify]: iters left: 6 (17 enodes) 239.636 * * [simplify]: iters left: 5 (66 enodes) 239.647 * * [simplify]: iters left: 4 (101 enodes) 239.674 * * [simplify]: iters left: 3 (170 enodes) 239.735 * * [simplify]: iters left: 2 (266 enodes) 239.810 * * [simplify]: iters left: 1 (380 enodes) 239.941 * * [simplify]: Extracting #0: cost 1 inf + 0 239.941 * * [simplify]: Extracting #1: cost 0 inf + 1 239.941 * [simplify]: Simplified to 0 239.941 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 239.942 * * * * [progress]: [ 302 / 2246 ] simplifiying candidate # 239.942 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 239.942 * * [simplify]: iters left: 6 (21 enodes) 239.948 * * [simplify]: iters left: 5 (76 enodes) 239.970 * * [simplify]: iters left: 4 (133 enodes) 240.003 * * [simplify]: iters left: 3 (225 enodes) 240.077 * * [simplify]: iters left: 2 (392 enodes) 240.193 * * [simplify]: Extracting #0: cost 1 inf + 0 240.193 * * [simplify]: Extracting #1: cost 11 inf + 0 240.194 * * [simplify]: Extracting #2: cost 59 inf + 0 240.194 * * [simplify]: Extracting #3: cost 99 inf + 166 240.194 * * [simplify]: Extracting #4: cost 88 inf + 1450 240.196 * * [simplify]: Extracting #5: cost 67 inf + 4924 240.206 * * [simplify]: Extracting #6: cost 9 inf + 24025 240.220 * * [simplify]: Extracting #7: cost 0 inf + 27012 240.234 * * [simplify]: Extracting #8: cost 0 inf + 26937 240.248 * [simplify]: Simplified to (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 240.248 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))))) 240.249 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1))) 240.249 * * [simplify]: iters left: 6 (16 enodes) 240.258 * * [simplify]: iters left: 5 (58 enodes) 240.278 * * [simplify]: iters left: 4 (106 enodes) 240.317 * * [simplify]: iters left: 3 (186 enodes) 240.365 * * [simplify]: iters left: 2 (342 enodes) 240.476 * * [simplify]: iters left: 1 (486 enodes) 240.626 * * [simplify]: Extracting #0: cost 1 inf + 0 240.627 * * [simplify]: Extracting #1: cost 0 inf + 1 240.627 * [simplify]: Simplified to 0 240.627 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 0))) 240.627 * * * * [progress]: [ 303 / 2246 ] simplifiying candidate # 240.628 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 240.628 * * [simplify]: iters left: 6 (24 enodes) 240.640 * * [simplify]: iters left: 5 (97 enodes) 240.678 * * [simplify]: iters left: 4 (208 enodes) 240.738 * * [simplify]: Extracting #0: cost 1 inf + 0 240.738 * * [simplify]: Extracting #1: cost 11 inf + 0 240.739 * * [simplify]: Extracting #2: cost 106 inf + 0 240.739 * * [simplify]: Extracting #3: cost 181 inf + 206 240.740 * * [simplify]: Extracting #4: cost 182 inf + 569 240.741 * * [simplify]: Extracting #5: cost 175 inf + 1908 240.742 * * [simplify]: Extracting #6: cost 155 inf + 6658 240.747 * * [simplify]: Extracting #7: cost 119 inf + 20484 240.760 * * [simplify]: Extracting #8: cost 31 inf + 64087 240.789 * * [simplify]: Extracting #9: cost 0 inf + 79731 240.823 * * [simplify]: Extracting #10: cost 0 inf + 79649 240.859 * [simplify]: Simplified to (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 240.859 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 240.860 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 240.861 * * [simplify]: iters left: 6 (19 enodes) 240.870 * * [simplify]: iters left: 5 (78 enodes) 240.897 * * [simplify]: iters left: 4 (164 enodes) 240.954 * * [simplify]: iters left: 3 (469 enodes) 241.374 * * [simplify]: Extracting #0: cost 1 inf + 0 241.374 * * [simplify]: Extracting #1: cost 0 inf + 1 241.374 * [simplify]: Simplified to 0 241.374 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 241.374 * * * * [progress]: [ 304 / 2246 ] simplifiying candidate # 241.374 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 241.374 * * [simplify]: iters left: 6 (22 enodes) 241.381 * * [simplify]: iters left: 5 (89 enodes) 241.412 * * [simplify]: iters left: 4 (175 enodes) 241.490 * * [simplify]: iters left: 3 (411 enodes) 241.727 * * [simplify]: Extracting #0: cost 1 inf + 0 241.727 * * [simplify]: Extracting #1: cost 11 inf + 0 241.727 * * [simplify]: Extracting #2: cost 139 inf + 0 241.729 * * [simplify]: Extracting #3: cost 251 inf + 206 241.731 * * [simplify]: Extracting #4: cost 252 inf + 569 241.734 * * [simplify]: Extracting #5: cost 239 inf + 3080 241.737 * * [simplify]: Extracting #6: cost 199 inf + 12731 241.744 * * [simplify]: Extracting #7: cost 151 inf + 31083 241.763 * * [simplify]: Extracting #8: cost 40 inf + 80164 241.803 * * [simplify]: Extracting #9: cost 0 inf + 98224 241.833 * [simplify]: Simplified to (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) 241.833 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 241.834 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 241.834 * * [simplify]: iters left: 6 (18 enodes) 241.838 * * [simplify]: iters left: 5 (73 enodes) 241.851 * * [simplify]: iters left: 4 (136 enodes) 241.890 * * [simplify]: iters left: 3 (336 enodes) 242.061 * * [simplify]: Extracting #0: cost 1 inf + 0 242.061 * * [simplify]: Extracting #1: cost 0 inf + 1 242.061 * [simplify]: Simplified to 0 242.061 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 242.061 * * * * [progress]: [ 305 / 2246 ] simplifiying candidate # 242.061 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 242.062 * * [simplify]: iters left: 6 (22 enodes) 242.068 * * [simplify]: iters left: 5 (87 enodes) 242.091 * * [simplify]: iters left: 4 (169 enodes) 242.164 * * [simplify]: iters left: 3 (368 enodes) 242.366 * * [simplify]: Extracting #0: cost 1 inf + 0 242.366 * * [simplify]: Extracting #1: cost 11 inf + 0 242.366 * * [simplify]: Extracting #2: cost 110 inf + 0 242.367 * * [simplify]: Extracting #3: cost 168 inf + 367 242.368 * * [simplify]: Extracting #4: cost 169 inf + 731 242.368 * * [simplify]: Extracting #5: cost 169 inf + 789 242.369 * * [simplify]: Extracting #6: cost 144 inf + 5847 242.377 * * [simplify]: Extracting #7: cost 45 inf + 37777 242.393 * * [simplify]: Extracting #8: cost 1 inf + 55305 242.425 * * [simplify]: Extracting #9: cost 0 inf + 56018 242.453 * * [simplify]: Extracting #10: cost 0 inf + 56002 242.477 * [simplify]: Simplified to (- (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 242.477 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 242.477 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 242.477 * * [simplify]: iters left: 6 (17 enodes) 242.482 * * [simplify]: iters left: 5 (68 enodes) 242.494 * * [simplify]: iters left: 4 (127 enodes) 242.537 * * [simplify]: iters left: 3 (292 enodes) 242.687 * * [simplify]: Extracting #0: cost 1 inf + 0 242.687 * * [simplify]: Extracting #1: cost 0 inf + 1 242.687 * [simplify]: Simplified to 0 242.687 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 242.687 * * * * [progress]: [ 306 / 2246 ] simplifiying candidate # 242.688 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 242.688 * * [simplify]: iters left: 6 (24 enodes) 242.706 * * [simplify]: iters left: 5 (96 enodes) 242.725 * * [simplify]: iters left: 4 (155 enodes) 242.764 * * [simplify]: iters left: 3 (329 enodes) 242.900 * * [simplify]: Extracting #0: cost 1 inf + 0 242.900 * * [simplify]: Extracting #1: cost 11 inf + 0 242.901 * * [simplify]: Extracting #2: cost 100 inf + 0 242.902 * * [simplify]: Extracting #3: cost 164 inf + 206 242.903 * * [simplify]: Extracting #4: cost 164 inf + 731 242.904 * * [simplify]: Extracting #5: cost 164 inf + 789 242.907 * * [simplify]: Extracting #6: cost 134 inf + 6941 242.912 * * [simplify]: Extracting #7: cost 106 inf + 13114 242.924 * * [simplify]: Extracting #8: cost 59 inf + 29719 242.946 * * [simplify]: Extracting #9: cost 8 inf + 49824 242.970 * * [simplify]: Extracting #10: cost 0 inf + 53504 242.984 * * [simplify]: Extracting #11: cost 0 inf + 53488 242.997 * [simplify]: Simplified to (- (/ (cbrt 1/2) (* (/ (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt 1/2)) (/ (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt 1/2)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x)))) 242.997 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (cbrt 1/2) (* (/ (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt 1/2)) (/ (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt 1/2)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x)))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 242.997 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 242.997 * * [simplify]: iters left: 6 (18 enodes) 243.010 * * [simplify]: iters left: 5 (73 enodes) 243.035 * * [simplify]: iters left: 4 (112 enodes) 243.076 * * [simplify]: iters left: 3 (236 enodes) 243.195 * * [simplify]: Extracting #0: cost 1 inf + 0 243.195 * * [simplify]: Extracting #1: cost 20 inf + 0 243.195 * * [simplify]: Extracting #2: cost 95 inf + 1 243.196 * * [simplify]: Extracting #3: cost 118 inf + 4 243.196 * * [simplify]: Extracting #4: cost 111 inf + 1145 243.198 * * [simplify]: Extracting #5: cost 86 inf + 6974 243.200 * * [simplify]: Extracting #6: cost 75 inf + 9748 243.202 * * [simplify]: Extracting #7: cost 70 inf + 10597 243.207 * * [simplify]: Extracting #8: cost 17 inf + 29887 243.219 * * [simplify]: Extracting #9: cost 0 inf + 36382 243.238 * * [simplify]: Extracting #10: cost 0 inf + 36332 243.256 * [simplify]: Simplified to (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 243.256 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) 243.256 * * * * [progress]: [ 307 / 2246 ] simplifiying candidate # 243.257 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 243.257 * * [simplify]: iters left: 6 (24 enodes) 243.271 * * [simplify]: iters left: 5 (96 enodes) 243.287 * * [simplify]: iters left: 4 (155 enodes) 243.322 * * [simplify]: iters left: 3 (329 enodes) 243.488 * * [simplify]: Extracting #0: cost 1 inf + 0 243.488 * * [simplify]: Extracting #1: cost 11 inf + 0 243.488 * * [simplify]: Extracting #2: cost 100 inf + 0 243.489 * * [simplify]: Extracting #3: cost 164 inf + 206 243.491 * * [simplify]: Extracting #4: cost 164 inf + 731 243.492 * * [simplify]: Extracting #5: cost 164 inf + 789 243.495 * * [simplify]: Extracting #6: cost 134 inf + 6941 243.500 * * [simplify]: Extracting #7: cost 106 inf + 13114 243.505 * * [simplify]: Extracting #8: cost 59 inf + 29719 243.516 * * [simplify]: Extracting #9: cost 8 inf + 49824 243.529 * * [simplify]: Extracting #10: cost 0 inf + 53504 243.553 * * [simplify]: Extracting #11: cost 0 inf + 53488 243.578 * [simplify]: Simplified to (- (/ (cbrt 1/2) (* (/ (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt 1/2)) (/ (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt 1/2)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x)))) 243.579 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (cbrt 1/2) (* (/ (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt 1/2)) (/ (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt 1/2)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x)))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 243.579 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 243.580 * * [simplify]: iters left: 6 (18 enodes) 243.590 * * [simplify]: iters left: 5 (73 enodes) 243.615 * * [simplify]: iters left: 4 (112 enodes) 243.656 * * [simplify]: iters left: 3 (236 enodes) 243.804 * * [simplify]: Extracting #0: cost 1 inf + 0 243.804 * * [simplify]: Extracting #1: cost 20 inf + 0 243.804 * * [simplify]: Extracting #2: cost 95 inf + 1 243.805 * * [simplify]: Extracting #3: cost 118 inf + 4 243.805 * * [simplify]: Extracting #4: cost 111 inf + 1145 243.806 * * [simplify]: Extracting #5: cost 86 inf + 6974 243.808 * * [simplify]: Extracting #6: cost 75 inf + 9748 243.810 * * [simplify]: Extracting #7: cost 70 inf + 10597 243.816 * * [simplify]: Extracting #8: cost 17 inf + 29887 243.825 * * [simplify]: Extracting #9: cost 0 inf + 36382 243.838 * * [simplify]: Extracting #10: cost 0 inf + 36332 243.856 * [simplify]: Simplified to (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 243.856 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) 243.857 * * * * [progress]: [ 308 / 2246 ] simplifiying candidate # 243.857 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 243.858 * * [simplify]: iters left: 6 (22 enodes) 243.869 * * [simplify]: iters left: 5 (87 enodes) 243.892 * * [simplify]: iters left: 4 (169 enodes) 243.946 * * [simplify]: iters left: 3 (368 enodes) 244.138 * * [simplify]: Extracting #0: cost 1 inf + 0 244.138 * * [simplify]: Extracting #1: cost 11 inf + 0 244.138 * * [simplify]: Extracting #2: cost 110 inf + 0 244.139 * * [simplify]: Extracting #3: cost 168 inf + 367 244.140 * * [simplify]: Extracting #4: cost 169 inf + 731 244.140 * * [simplify]: Extracting #5: cost 169 inf + 789 244.142 * * [simplify]: Extracting #6: cost 144 inf + 5847 244.149 * * [simplify]: Extracting #7: cost 45 inf + 37777 244.170 * * [simplify]: Extracting #8: cost 1 inf + 55305 244.193 * * [simplify]: Extracting #9: cost 0 inf + 56018 244.207 * * [simplify]: Extracting #10: cost 0 inf + 56002 244.231 * [simplify]: Simplified to (- (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 244.231 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 244.232 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 244.232 * * [simplify]: iters left: 6 (17 enodes) 244.236 * * [simplify]: iters left: 5 (68 enodes) 244.249 * * [simplify]: iters left: 4 (127 enodes) 244.294 * * [simplify]: iters left: 3 (292 enodes) 244.441 * * [simplify]: Extracting #0: cost 1 inf + 0 244.441 * * [simplify]: Extracting #1: cost 0 inf + 1 244.441 * [simplify]: Simplified to 0 244.442 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 244.442 * * * * [progress]: [ 309 / 2246 ] simplifiying candidate # 244.442 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 244.442 * * [simplify]: iters left: 6 (23 enodes) 244.452 * * [simplify]: iters left: 5 (92 enodes) 244.477 * * [simplify]: iters left: 4 (193 enodes) 244.531 * * [simplify]: iters left: 3 (444 enodes) 244.766 * * [simplify]: Extracting #0: cost 1 inf + 0 244.766 * * [simplify]: Extracting #1: cost 11 inf + 0 244.766 * * [simplify]: Extracting #2: cost 162 inf + 0 244.767 * * [simplify]: Extracting #3: cost 296 inf + 206 244.769 * * [simplify]: Extracting #4: cost 295 inf + 731 244.770 * * [simplify]: Extracting #5: cost 290 inf + 1435 244.772 * * [simplify]: Extracting #6: cost 272 inf + 4586 244.774 * * [simplify]: Extracting #7: cost 265 inf + 5930 244.778 * * [simplify]: Extracting #8: cost 231 inf + 19403 244.813 * * [simplify]: Extracting #9: cost 77 inf + 90575 244.860 * * [simplify]: Extracting #10: cost 2 inf + 125725 244.911 * * [simplify]: Extracting #11: cost 0 inf + 126425 244.959 * * [simplify]: Extracting #12: cost 0 inf + 126386 245.029 * [simplify]: Simplified to (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ (/ 1/2 (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 245.029 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ (/ 1/2 (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 245.029 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 245.029 * * [simplify]: iters left: 6 (18 enodes) 245.034 * * [simplify]: iters left: 5 (73 enodes) 245.049 * * [simplify]: iters left: 4 (149 enodes) 245.110 * * [simplify]: iters left: 3 (359 enodes) 245.361 * * [simplify]: Extracting #0: cost 1 inf + 0 245.361 * * [simplify]: Extracting #1: cost 0 inf + 1 245.361 * [simplify]: Simplified to 0 245.362 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 245.362 * * * * [progress]: [ 310 / 2246 ] simplifiying candidate # 245.362 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 245.362 * * [simplify]: iters left: 6 (21 enodes) 245.368 * * [simplify]: iters left: 5 (83 enodes) 245.382 * * [simplify]: iters left: 4 (160 enodes) 245.449 * * [simplify]: iters left: 3 (329 enodes) 245.651 * * [simplify]: Extracting #0: cost 1 inf + 0 245.651 * * [simplify]: Extracting #1: cost 11 inf + 0 245.652 * * [simplify]: Extracting #2: cost 124 inf + 0 245.653 * * [simplify]: Extracting #3: cost 201 inf + 206 245.655 * * [simplify]: Extracting #4: cost 202 inf + 569 245.657 * * [simplify]: Extracting #5: cost 188 inf + 2613 245.666 * * [simplify]: Extracting #6: cost 128 inf + 21171 245.693 * * [simplify]: Extracting #7: cost 13 inf + 65888 245.712 * * [simplify]: Extracting #8: cost 0 inf + 71035 245.737 * [simplify]: Simplified to (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 245.737 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 245.738 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 245.738 * * [simplify]: iters left: 6 (17 enodes) 245.742 * * [simplify]: iters left: 5 (67 enodes) 245.756 * * [simplify]: iters left: 4 (121 enodes) 245.787 * * [simplify]: iters left: 3 (261 enodes) 245.903 * * [simplify]: Extracting #0: cost 1 inf + 0 245.903 * * [simplify]: Extracting #1: cost 0 inf + 1 245.903 * [simplify]: Simplified to 0 245.903 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 245.904 * * * * [progress]: [ 311 / 2246 ] simplifiying candidate # 245.904 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 245.904 * * [simplify]: iters left: 6 (21 enodes) 245.911 * * [simplify]: iters left: 5 (82 enodes) 245.926 * * [simplify]: iters left: 4 (149 enodes) 245.958 * * [simplify]: iters left: 3 (293 enodes) 246.105 * * [simplify]: Extracting #0: cost 1 inf + 0 246.105 * * [simplify]: Extracting #1: cost 11 inf + 0 246.105 * * [simplify]: Extracting #2: cost 97 inf + 0 246.106 * * [simplify]: Extracting #3: cost 130 inf + 367 246.107 * * [simplify]: Extracting #4: cost 131 inf + 731 246.108 * * [simplify]: Extracting #5: cost 131 inf + 789 246.110 * * [simplify]: Extracting #6: cost 115 inf + 3209 246.114 * * [simplify]: Extracting #7: cost 87 inf + 8553 246.128 * * [simplify]: Extracting #8: cost 22 inf + 31215 246.138 * * [simplify]: Extracting #9: cost 0 inf + 39497 246.149 * * [simplify]: Extracting #10: cost 0 inf + 39441 246.163 * [simplify]: Simplified to (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ 1/2 (* (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) 246.163 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ 1/2 (* (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))))) 246.164 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1))) 246.164 * * [simplify]: iters left: 6 (16 enodes) 246.172 * * [simplify]: iters left: 5 (63 enodes) 246.188 * * [simplify]: iters left: 4 (109 enodes) 246.219 * * [simplify]: iters left: 3 (230 enodes) 246.338 * * [simplify]: Extracting #0: cost 1 inf + 0 246.338 * * [simplify]: Extracting #1: cost 0 inf + 1 246.338 * [simplify]: Simplified to 0 246.338 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 0))) 246.338 * * * * [progress]: [ 312 / 2246 ] simplifiying candidate # 246.338 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 246.338 * * [simplify]: iters left: 6 (23 enodes) 246.345 * * [simplify]: iters left: 5 (91 enodes) 246.364 * * [simplify]: iters left: 4 (144 enodes) 246.416 * * [simplify]: iters left: 3 (294 enodes) 246.543 * * [simplify]: Extracting #0: cost 1 inf + 0 246.544 * * [simplify]: Extracting #1: cost 11 inf + 0 246.544 * * [simplify]: Extracting #2: cost 88 inf + 0 246.545 * * [simplify]: Extracting #3: cost 129 inf + 85 246.546 * * [simplify]: Extracting #4: cost 129 inf + 570 246.547 * * [simplify]: Extracting #5: cost 128 inf + 789 246.548 * * [simplify]: Extracting #6: cost 112 inf + 3209 246.554 * * [simplify]: Extracting #7: cost 66 inf + 14595 246.570 * * [simplify]: Extracting #8: cost 10 inf + 34219 246.589 * * [simplify]: Extracting #9: cost 0 inf + 38151 246.608 * [simplify]: Simplified to (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ 1/2 (* (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) 246.608 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ 1/2 (* (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))))) 246.609 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)))) 246.609 * * [simplify]: iters left: 6 (17 enodes) 246.622 * * [simplify]: iters left: 5 (68 enodes) 246.645 * * [simplify]: iters left: 4 (102 enodes) 246.682 * * [simplify]: iters left: 3 (202 enodes) 246.760 * * [simplify]: iters left: 2 (433 enodes) 247.072 * * [simplify]: Extracting #0: cost 1 inf + 0 247.072 * * [simplify]: Extracting #1: cost 0 inf + 1 247.072 * [simplify]: Simplified to 0 247.072 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 247.072 * * * * [progress]: [ 313 / 2246 ] simplifiying candidate # 247.072 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 247.073 * * [simplify]: iters left: 6 (23 enodes) 247.079 * * [simplify]: iters left: 5 (91 enodes) 247.102 * * [simplify]: iters left: 4 (144 enodes) 247.133 * * [simplify]: iters left: 3 (294 enodes) 247.253 * * [simplify]: Extracting #0: cost 1 inf + 0 247.253 * * [simplify]: Extracting #1: cost 11 inf + 0 247.253 * * [simplify]: Extracting #2: cost 88 inf + 0 247.254 * * [simplify]: Extracting #3: cost 129 inf + 85 247.254 * * [simplify]: Extracting #4: cost 129 inf + 570 247.255 * * [simplify]: Extracting #5: cost 128 inf + 789 247.256 * * [simplify]: Extracting #6: cost 112 inf + 3209 247.258 * * [simplify]: Extracting #7: cost 66 inf + 14595 247.267 * * [simplify]: Extracting #8: cost 10 inf + 34219 247.276 * * [simplify]: Extracting #9: cost 0 inf + 38151 247.295 * [simplify]: Simplified to (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ 1/2 (* (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) 247.295 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ 1/2 (* (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))))) 247.295 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)))) 247.296 * * [simplify]: iters left: 6 (17 enodes) 247.306 * * [simplify]: iters left: 5 (68 enodes) 247.320 * * [simplify]: iters left: 4 (102 enodes) 247.340 * * [simplify]: iters left: 3 (202 enodes) 247.437 * * [simplify]: iters left: 2 (433 enodes) 247.706 * * [simplify]: Extracting #0: cost 1 inf + 0 247.706 * * [simplify]: Extracting #1: cost 0 inf + 1 247.706 * [simplify]: Simplified to 0 247.706 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 247.706 * * * * [progress]: [ 314 / 2246 ] simplifiying candidate # 247.707 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 247.707 * * [simplify]: iters left: 6 (21 enodes) 247.718 * * [simplify]: iters left: 5 (82 enodes) 247.740 * * [simplify]: iters left: 4 (149 enodes) 247.780 * * [simplify]: iters left: 3 (293 enodes) 247.919 * * [simplify]: Extracting #0: cost 1 inf + 0 247.919 * * [simplify]: Extracting #1: cost 11 inf + 0 247.920 * * [simplify]: Extracting #2: cost 97 inf + 0 247.921 * * [simplify]: Extracting #3: cost 130 inf + 367 247.922 * * [simplify]: Extracting #4: cost 131 inf + 731 247.923 * * [simplify]: Extracting #5: cost 131 inf + 789 247.925 * * [simplify]: Extracting #6: cost 115 inf + 3209 247.929 * * [simplify]: Extracting #7: cost 87 inf + 8553 247.943 * * [simplify]: Extracting #8: cost 22 inf + 31215 247.963 * * [simplify]: Extracting #9: cost 0 inf + 39497 247.981 * * [simplify]: Extracting #10: cost 0 inf + 39441 247.992 * [simplify]: Simplified to (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ 1/2 (* (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) 247.992 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ 1/2 (* (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))))) 247.992 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1))) 247.992 * * [simplify]: iters left: 6 (16 enodes) 247.997 * * [simplify]: iters left: 5 (63 enodes) 248.008 * * [simplify]: iters left: 4 (109 enodes) 248.042 * * [simplify]: iters left: 3 (230 enodes) 248.147 * * [simplify]: Extracting #0: cost 1 inf + 0 248.147 * * [simplify]: Extracting #1: cost 0 inf + 1 248.147 * [simplify]: Simplified to 0 248.147 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 0))) 248.147 * * * * [progress]: [ 315 / 2246 ] simplifiying candidate # 248.148 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 248.148 * * [simplify]: iters left: 6 (21 enodes) 248.153 * * [simplify]: iters left: 5 (82 enodes) 248.177 * * [simplify]: iters left: 4 (165 enodes) 248.243 * * [simplify]: iters left: 3 (362 enodes) 248.456 * * [simplify]: Extracting #0: cost 1 inf + 0 248.456 * * [simplify]: Extracting #1: cost 11 inf + 0 248.456 * * [simplify]: Extracting #2: cost 120 inf + 0 248.457 * * [simplify]: Extracting #3: cost 179 inf + 367 248.458 * * [simplify]: Extracting #4: cost 172 inf + 1138 248.459 * * [simplify]: Extracting #5: cost 171 inf + 1432 248.460 * * [simplify]: Extracting #6: cost 169 inf + 1926 248.464 * * [simplify]: Extracting #7: cost 142 inf + 11418 248.476 * * [simplify]: Extracting #8: cost 47 inf + 50008 248.495 * * [simplify]: Extracting #9: cost 0 inf + 69870 248.521 * [simplify]: Simplified to (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 248.521 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 248.522 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 248.522 * * [simplify]: iters left: 6 (16 enodes) 248.531 * * [simplify]: iters left: 5 (63 enodes) 248.553 * * [simplify]: iters left: 4 (123 enodes) 248.596 * * [simplify]: iters left: 3 (281 enodes) 248.766 * * [simplify]: Extracting #0: cost 1 inf + 0 248.767 * * [simplify]: Extracting #1: cost 0 inf + 1 248.767 * [simplify]: Simplified to 0 248.767 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 248.767 * * * * [progress]: [ 316 / 2246 ] simplifiying candidate # 248.768 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 248.768 * * [simplify]: iters left: 6 (19 enodes) 248.777 * * [simplify]: iters left: 5 (74 enodes) 248.803 * * [simplify]: iters left: 4 (138 enodes) 248.839 * * [simplify]: iters left: 3 (260 enodes) 248.963 * * [simplify]: iters left: 2 (498 enodes) 249.240 * * [simplify]: Extracting #0: cost 1 inf + 0 249.240 * * [simplify]: Extracting #1: cost 12 inf + 0 249.240 * * [simplify]: Extracting #2: cost 86 inf + 1 249.240 * * [simplify]: Extracting #3: cost 138 inf + 85 249.241 * * [simplify]: Extracting #4: cost 127 inf + 1278 249.242 * * [simplify]: Extracting #5: cost 116 inf + 2843 249.243 * * [simplify]: Extracting #6: cost 98 inf + 7654 249.250 * * [simplify]: Extracting #7: cost 19 inf + 33467 249.265 * * [simplify]: Extracting #8: cost 0 inf + 40258 249.277 * [simplify]: Simplified to (- (/ (cbrt 1/2) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 249.277 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (cbrt 1/2) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 249.278 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 249.278 * * [simplify]: iters left: 6 (15 enodes) 249.282 * * [simplify]: iters left: 5 (58 enodes) 249.292 * * [simplify]: iters left: 4 (101 enodes) 249.317 * * [simplify]: iters left: 3 (184 enodes) 249.366 * * [simplify]: iters left: 2 (365 enodes) 249.547 * * [simplify]: Extracting #0: cost 1 inf + 0 249.547 * * [simplify]: Extracting #1: cost 0 inf + 1 249.547 * [simplify]: Simplified to 0 249.547 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 249.548 * * * * [progress]: [ 317 / 2246 ] simplifiying candidate # 249.548 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 249.548 * * [simplify]: iters left: 6 (19 enodes) 249.554 * * [simplify]: iters left: 5 (71 enodes) 249.571 * * [simplify]: iters left: 4 (107 enodes) 249.601 * * [simplify]: iters left: 3 (166 enodes) 249.632 * * [simplify]: iters left: 2 (230 enodes) 249.683 * * [simplify]: iters left: 1 (317 enodes) 249.782 * * [simplify]: Extracting #0: cost 1 inf + 0 249.782 * * [simplify]: Extracting #1: cost 9 inf + 0 249.782 * * [simplify]: Extracting #2: cost 66 inf + 2 249.784 * * [simplify]: Extracting #3: cost 118 inf + 85 249.785 * * [simplify]: Extracting #4: cost 109 inf + 1290 249.787 * * [simplify]: Extracting #5: cost 100 inf + 2572 249.797 * * [simplify]: Extracting #6: cost 20 inf + 25756 249.808 * * [simplify]: Extracting #7: cost 0 inf + 31770 249.815 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 249.815 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))))) 249.816 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1))) 249.816 * * [simplify]: iters left: 6 (14 enodes) 249.820 * * [simplify]: iters left: 5 (51 enodes) 249.830 * * [simplify]: iters left: 4 (77 enodes) 249.843 * * [simplify]: iters left: 3 (112 enodes) 249.865 * * [simplify]: iters left: 2 (165 enodes) 249.909 * * [simplify]: iters left: 1 (238 enodes) 249.971 * * [simplify]: Extracting #0: cost 1 inf + 0 249.971 * * [simplify]: Extracting #1: cost 0 inf + 1 249.972 * [simplify]: Simplified to 0 249.972 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 249.972 * * * * [progress]: [ 318 / 2246 ] simplifiying candidate # 249.972 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 249.972 * * [simplify]: iters left: 6 (21 enodes) 249.979 * * [simplify]: iters left: 5 (81 enodes) 249.994 * * [simplify]: iters left: 4 (120 enodes) 250.029 * * [simplify]: iters left: 3 (186 enodes) 250.086 * * [simplify]: iters left: 2 (263 enodes) 250.151 * * [simplify]: iters left: 1 (397 enodes) 250.349 * * [simplify]: Extracting #0: cost 1 inf + 0 250.349 * * [simplify]: Extracting #1: cost 9 inf + 0 250.349 * * [simplify]: Extracting #2: cost 59 inf + 2 250.350 * * [simplify]: Extracting #3: cost 121 inf + 85 250.350 * * [simplify]: Extracting #4: cost 112 inf + 1168 250.351 * * [simplify]: Extracting #5: cost 101 inf + 2501 250.356 * * [simplify]: Extracting #6: cost 62 inf + 12410 250.369 * * [simplify]: Extracting #7: cost 3 inf + 30930 250.378 * * [simplify]: Extracting #8: cost 0 inf + 31945 250.387 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 250.387 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))))) 250.387 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1)))) 250.387 * * [simplify]: iters left: 6 (15 enodes) 250.393 * * [simplify]: iters left: 5 (58 enodes) 250.411 * * [simplify]: iters left: 4 (94 enodes) 250.445 * * [simplify]: iters left: 3 (132 enodes) 250.485 * * [simplify]: iters left: 2 (179 enodes) 250.536 * * [simplify]: iters left: 1 (300 enodes) 250.664 * * [simplify]: Extracting #0: cost 1 inf + 0 250.664 * * [simplify]: Extracting #1: cost 0 inf + 1 250.664 * [simplify]: Simplified to 0 250.664 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 250.664 * * * * [progress]: [ 319 / 2246 ] simplifiying candidate # 250.664 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 250.665 * * [simplify]: iters left: 6 (21 enodes) 250.672 * * [simplify]: iters left: 5 (81 enodes) 250.692 * * [simplify]: iters left: 4 (120 enodes) 250.727 * * [simplify]: iters left: 3 (186 enodes) 250.770 * * [simplify]: iters left: 2 (263 enodes) 250.866 * * [simplify]: iters left: 1 (397 enodes) 251.051 * * [simplify]: Extracting #0: cost 1 inf + 0 251.051 * * [simplify]: Extracting #1: cost 9 inf + 0 251.051 * * [simplify]: Extracting #2: cost 59 inf + 2 251.052 * * [simplify]: Extracting #3: cost 121 inf + 85 251.054 * * [simplify]: Extracting #4: cost 112 inf + 1168 251.055 * * [simplify]: Extracting #5: cost 101 inf + 2501 251.061 * * [simplify]: Extracting #6: cost 62 inf + 12410 251.076 * * [simplify]: Extracting #7: cost 3 inf + 30930 251.093 * * [simplify]: Extracting #8: cost 0 inf + 31945 251.110 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 251.111 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))))) 251.111 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1)))) 251.111 * * [simplify]: iters left: 6 (15 enodes) 251.120 * * [simplify]: iters left: 5 (58 enodes) 251.142 * * [simplify]: iters left: 4 (94 enodes) 251.176 * * [simplify]: iters left: 3 (132 enodes) 251.214 * * [simplify]: iters left: 2 (179 enodes) 251.268 * * [simplify]: iters left: 1 (300 enodes) 251.372 * * [simplify]: Extracting #0: cost 1 inf + 0 251.372 * * [simplify]: Extracting #1: cost 0 inf + 1 251.372 * [simplify]: Simplified to 0 251.373 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 251.373 * * * * [progress]: [ 320 / 2246 ] simplifiying candidate # 251.373 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 251.373 * * [simplify]: iters left: 6 (19 enodes) 251.382 * * [simplify]: iters left: 5 (71 enodes) 251.395 * * [simplify]: iters left: 4 (107 enodes) 251.413 * * [simplify]: iters left: 3 (166 enodes) 251.447 * * [simplify]: iters left: 2 (230 enodes) 251.520 * * [simplify]: iters left: 1 (317 enodes) 251.603 * * [simplify]: Extracting #0: cost 1 inf + 0 251.603 * * [simplify]: Extracting #1: cost 9 inf + 0 251.603 * * [simplify]: Extracting #2: cost 66 inf + 2 251.604 * * [simplify]: Extracting #3: cost 118 inf + 85 251.605 * * [simplify]: Extracting #4: cost 109 inf + 1290 251.607 * * [simplify]: Extracting #5: cost 100 inf + 2572 251.617 * * [simplify]: Extracting #6: cost 20 inf + 25756 251.630 * * [simplify]: Extracting #7: cost 0 inf + 31770 251.643 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 251.643 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))))) 251.644 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1))) 251.644 * * [simplify]: iters left: 6 (14 enodes) 251.650 * * [simplify]: iters left: 5 (51 enodes) 251.660 * * [simplify]: iters left: 4 (77 enodes) 251.672 * * [simplify]: iters left: 3 (112 enodes) 251.701 * * [simplify]: iters left: 2 (165 enodes) 251.755 * * [simplify]: iters left: 1 (238 enodes) 251.832 * * [simplify]: Extracting #0: cost 1 inf + 0 251.832 * * [simplify]: Extracting #1: cost 0 inf + 1 251.832 * [simplify]: Simplified to 0 251.832 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 251.832 * * * * [progress]: [ 321 / 2246 ] simplifiying candidate # 251.833 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 251.833 * * [simplify]: iters left: 6 (20 enodes) 251.843 * * [simplify]: iters left: 5 (81 enodes) 251.861 * * [simplify]: iters left: 4 (160 enodes) 251.913 * * [simplify]: iters left: 3 (335 enodes) 252.093 * * [simplify]: Extracting #0: cost 1 inf + 0 252.094 * * [simplify]: Extracting #1: cost 11 inf + 0 252.094 * * [simplify]: Extracting #2: cost 118 inf + 0 252.094 * * [simplify]: Extracting #3: cost 167 inf + 206 252.095 * * [simplify]: Extracting #4: cost 160 inf + 1081 252.096 * * [simplify]: Extracting #5: cost 158 inf + 1432 252.097 * * [simplify]: Extracting #6: cost 158 inf + 1570 252.100 * * [simplify]: Extracting #7: cost 121 inf + 14882 252.115 * * [simplify]: Extracting #8: cost 19 inf + 56795 252.153 * * [simplify]: Extracting #9: cost 0 inf + 65071 252.188 * * [simplify]: Extracting #10: cost 0 inf + 64951 252.223 * [simplify]: Simplified to (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 252.223 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 252.224 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 252.224 * * [simplify]: iters left: 6 (15 enodes) 252.232 * * [simplify]: iters left: 5 (62 enodes) 252.243 * * [simplify]: iters left: 4 (118 enodes) 252.282 * * [simplify]: iters left: 3 (252 enodes) 252.431 * * [simplify]: Extracting #0: cost 1 inf + 0 252.431 * * [simplify]: Extracting #1: cost 0 inf + 1 252.431 * [simplify]: Simplified to 0 252.431 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 252.431 * * * * [progress]: [ 322 / 2246 ] simplifiying candidate # 252.431 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 252.431 * * [simplify]: iters left: 6 (18 enodes) 252.436 * * [simplify]: iters left: 5 (73 enodes) 252.458 * * [simplify]: iters left: 4 (135 enodes) 252.494 * * [simplify]: iters left: 3 (263 enodes) 252.595 * * [simplify]: iters left: 2 (492 enodes) 252.812 * * [simplify]: Extracting #0: cost 1 inf + 0 252.812 * * [simplify]: Extracting #1: cost 12 inf + 0 252.813 * * [simplify]: Extracting #2: cost 86 inf + 1 252.813 * * [simplify]: Extracting #3: cost 134 inf + 85 252.814 * * [simplify]: Extracting #4: cost 122 inf + 1440 252.815 * * [simplify]: Extracting #5: cost 110 inf + 3159 252.816 * * [simplify]: Extracting #6: cost 98 inf + 6459 252.823 * * [simplify]: Extracting #7: cost 27 inf + 30074 252.834 * * [simplify]: Extracting #8: cost 0 inf + 38981 252.846 * [simplify]: Simplified to (- (/ (cbrt 1/2) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 252.846 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (cbrt 1/2) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 252.847 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 252.847 * * [simplify]: iters left: 6 (14 enodes) 252.854 * * [simplify]: iters left: 5 (57 enodes) 252.874 * * [simplify]: iters left: 4 (98 enodes) 252.902 * * [simplify]: iters left: 3 (181 enodes) 252.971 * * [simplify]: iters left: 2 (360 enodes) 253.146 * * [simplify]: Extracting #0: cost 1 inf + 0 253.146 * * [simplify]: Extracting #1: cost 0 inf + 1 253.146 * [simplify]: Simplified to 0 253.146 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 253.147 * * * * [progress]: [ 323 / 2246 ] simplifiying candidate # 253.147 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 253.147 * * [simplify]: iters left: 6 (18 enodes) 253.154 * * [simplify]: iters left: 5 (70 enodes) 253.167 * * [simplify]: iters left: 4 (106 enodes) 253.189 * * [simplify]: iters left: 3 (165 enodes) 253.222 * * [simplify]: iters left: 2 (229 enodes) 253.266 * * [simplify]: iters left: 1 (316 enodes) 253.364 * * [simplify]: Extracting #0: cost 1 inf + 0 253.365 * * [simplify]: Extracting #1: cost 9 inf + 0 253.365 * * [simplify]: Extracting #2: cost 65 inf + 2 253.366 * * [simplify]: Extracting #3: cost 117 inf + 85 253.367 * * [simplify]: Extracting #4: cost 113 inf + 785 253.368 * * [simplify]: Extracting #5: cost 98 inf + 2951 253.376 * * [simplify]: Extracting #6: cost 29 inf + 23002 253.393 * * [simplify]: Extracting #7: cost 0 inf + 31472 253.409 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 253.409 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))))) 253.409 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1))) 253.410 * * [simplify]: iters left: 6 (13 enodes) 253.416 * * [simplify]: iters left: 5 (50 enodes) 253.434 * * [simplify]: iters left: 4 (76 enodes) 253.453 * * [simplify]: iters left: 3 (111 enodes) 253.471 * * [simplify]: iters left: 2 (147 enodes) 253.506 * * [simplify]: iters left: 1 (234 enodes) 253.567 * * [simplify]: Extracting #0: cost 1 inf + 0 253.568 * * [simplify]: Extracting #1: cost 0 inf + 1 253.568 * [simplify]: Simplified to 0 253.568 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 253.568 * * * * [progress]: [ 324 / 2246 ] simplifiying candidate # 253.568 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 253.568 * * [simplify]: iters left: 6 (20 enodes) 253.577 * * [simplify]: iters left: 5 (80 enodes) 253.596 * * [simplify]: iters left: 4 (118 enodes) 253.636 * * [simplify]: iters left: 3 (183 enodes) 253.689 * * [simplify]: iters left: 2 (258 enodes) 254.139 * * [simplify]: iters left: 1 (394 enodes) 254.356 * * [simplify]: Extracting #0: cost 1 inf + 0 254.356 * * [simplify]: Extracting #1: cost 9 inf + 0 254.357 * * [simplify]: Extracting #2: cost 63 inf + 2 254.357 * * [simplify]: Extracting #3: cost 125 inf + 85 254.361 * * [simplify]: Extracting #4: cost 117 inf + 1045 254.363 * * [simplify]: Extracting #5: cost 103 inf + 2778 254.366 * * [simplify]: Extracting #6: cost 64 inf + 12642 254.374 * * [simplify]: Extracting #7: cost 4 inf + 31401 254.383 * * [simplify]: Extracting #8: cost 0 inf + 32716 254.392 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 254.392 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))))) 254.392 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1)))) 254.392 * * [simplify]: iters left: 6 (14 enodes) 254.398 * * [simplify]: iters left: 5 (57 enodes) 254.419 * * [simplify]: iters left: 4 (93 enodes) 254.437 * * [simplify]: iters left: 3 (131 enodes) 254.459 * * [simplify]: iters left: 2 (178 enodes) 254.502 * * [simplify]: iters left: 1 (299 enodes) 254.637 * * [simplify]: Extracting #0: cost 1 inf + 0 254.637 * * [simplify]: Extracting #1: cost 0 inf + 1 254.637 * [simplify]: Simplified to 0 254.637 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 254.638 * * * * [progress]: [ 325 / 2246 ] simplifiying candidate # 254.638 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 254.638 * * [simplify]: iters left: 6 (20 enodes) 254.651 * * [simplify]: iters left: 5 (80 enodes) 254.677 * * [simplify]: iters left: 4 (118 enodes) 254.717 * * [simplify]: iters left: 3 (183 enodes) 254.754 * * [simplify]: iters left: 2 (258 enodes) 254.821 * * [simplify]: iters left: 1 (394 enodes) 255.027 * * [simplify]: Extracting #0: cost 1 inf + 0 255.027 * * [simplify]: Extracting #1: cost 9 inf + 0 255.027 * * [simplify]: Extracting #2: cost 63 inf + 2 255.028 * * [simplify]: Extracting #3: cost 125 inf + 85 255.030 * * [simplify]: Extracting #4: cost 117 inf + 1045 255.031 * * [simplify]: Extracting #5: cost 103 inf + 2778 255.034 * * [simplify]: Extracting #6: cost 64 inf + 12642 255.042 * * [simplify]: Extracting #7: cost 4 inf + 31401 255.051 * * [simplify]: Extracting #8: cost 0 inf + 32716 255.060 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 255.060 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))))) 255.061 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1)))) 255.061 * * [simplify]: iters left: 6 (14 enodes) 255.065 * * [simplify]: iters left: 5 (57 enodes) 255.080 * * [simplify]: iters left: 4 (93 enodes) 255.113 * * [simplify]: iters left: 3 (131 enodes) 255.152 * * [simplify]: iters left: 2 (178 enodes) 255.199 * * [simplify]: iters left: 1 (299 enodes) 255.290 * * [simplify]: Extracting #0: cost 1 inf + 0 255.290 * * [simplify]: Extracting #1: cost 0 inf + 1 255.290 * [simplify]: Simplified to 0 255.290 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 255.290 * * * * [progress]: [ 326 / 2246 ] simplifiying candidate # 255.290 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 255.290 * * [simplify]: iters left: 6 (18 enodes) 255.295 * * [simplify]: iters left: 5 (70 enodes) 255.308 * * [simplify]: iters left: 4 (106 enodes) 255.327 * * [simplify]: iters left: 3 (165 enodes) 255.382 * * [simplify]: iters left: 2 (229 enodes) 255.437 * * [simplify]: iters left: 1 (316 enodes) 255.516 * * [simplify]: Extracting #0: cost 1 inf + 0 255.516 * * [simplify]: Extracting #1: cost 9 inf + 0 255.516 * * [simplify]: Extracting #2: cost 65 inf + 2 255.516 * * [simplify]: Extracting #3: cost 117 inf + 85 255.517 * * [simplify]: Extracting #4: cost 113 inf + 785 255.518 * * [simplify]: Extracting #5: cost 98 inf + 2951 255.522 * * [simplify]: Extracting #6: cost 29 inf + 23002 255.532 * * [simplify]: Extracting #7: cost 0 inf + 31472 255.544 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 255.544 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))))) 255.544 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1))) 255.545 * * [simplify]: iters left: 6 (13 enodes) 255.552 * * [simplify]: iters left: 5 (50 enodes) 255.569 * * [simplify]: iters left: 4 (76 enodes) 255.591 * * [simplify]: iters left: 3 (111 enodes) 255.608 * * [simplify]: iters left: 2 (147 enodes) 255.653 * * [simplify]: iters left: 1 (234 enodes) 255.722 * * [simplify]: Extracting #0: cost 1 inf + 0 255.722 * * [simplify]: Extracting #1: cost 0 inf + 1 255.722 * [simplify]: Simplified to 0 255.722 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 255.722 * * * * [progress]: [ 327 / 2246 ] simplifiying candidate # 255.722 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 255.723 * * [simplify]: iters left: 6 (21 enodes) 255.736 * * [simplify]: iters left: 5 (84 enodes) 255.755 * * [simplify]: iters left: 4 (167 enodes) 255.802 * * [simplify]: iters left: 3 (327 enodes) 255.935 * * [simplify]: Extracting #0: cost 1 inf + 0 255.935 * * [simplify]: Extracting #1: cost 11 inf + 0 255.936 * * [simplify]: Extracting #2: cost 107 inf + 0 255.936 * * [simplify]: Extracting #3: cost 170 inf + 367 255.937 * * [simplify]: Extracting #4: cost 164 inf + 1040 255.938 * * [simplify]: Extracting #5: cost 157 inf + 2038 255.939 * * [simplify]: Extracting #6: cost 155 inf + 2510 255.940 * * [simplify]: Extracting #7: cost 151 inf + 3181 255.943 * * [simplify]: Extracting #8: cost 101 inf + 22291 255.970 * * [simplify]: Extracting #9: cost 4 inf + 62225 255.989 * * [simplify]: Extracting #10: cost 0 inf + 63779 256.019 * [simplify]: Simplified to (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ (/ 1/2 (hypot 1 x)) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 256.019 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt 1/2)) (/ (/ 1/2 (hypot 1 x)) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) (fma (- (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 256.020 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 256.020 * * [simplify]: iters left: 6 (16 enodes) 256.028 * * [simplify]: iters left: 5 (65 enodes) 256.051 * * [simplify]: iters left: 4 (125 enodes) 256.100 * * [simplify]: iters left: 3 (242 enodes) 256.194 * * [simplify]: Extracting #0: cost 1 inf + 0 256.194 * * [simplify]: Extracting #1: cost 0 inf + 1 256.194 * [simplify]: Simplified to 0 256.194 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 256.195 * * * * [progress]: [ 328 / 2246 ] simplifiying candidate # 256.195 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 256.195 * * [simplify]: iters left: 6 (19 enodes) 256.201 * * [simplify]: iters left: 5 (76 enodes) 256.215 * * [simplify]: iters left: 4 (140 enodes) 256.255 * * [simplify]: iters left: 3 (239 enodes) 256.365 * * [simplify]: iters left: 2 (491 enodes) 256.617 * * [simplify]: Extracting #0: cost 1 inf + 0 256.617 * * [simplify]: Extracting #1: cost 11 inf + 0 256.617 * * [simplify]: Extracting #2: cost 92 inf + 0 256.618 * * [simplify]: Extracting #3: cost 138 inf + 85 256.620 * * [simplify]: Extracting #4: cost 131 inf + 881 256.622 * * [simplify]: Extracting #5: cost 115 inf + 3146 256.634 * * [simplify]: Extracting #6: cost 31 inf + 29788 256.658 * * [simplify]: Extracting #7: cost 0 inf + 40197 256.682 * [simplify]: Simplified to (- (/ (cbrt 1/2) (/ (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt 1/2)) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 256.682 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (cbrt 1/2) (/ (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt 1/2)) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 256.683 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 256.683 * * [simplify]: iters left: 6 (15 enodes) 256.691 * * [simplify]: iters left: 5 (60 enodes) 256.712 * * [simplify]: iters left: 4 (103 enodes) 256.743 * * [simplify]: iters left: 3 (167 enodes) 256.798 * * [simplify]: iters left: 2 (361 enodes) 257.010 * * [simplify]: Extracting #0: cost 1 inf + 0 257.010 * * [simplify]: Extracting #1: cost 0 inf + 1 257.010 * [simplify]: Simplified to 0 257.010 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 257.010 * * * * [progress]: [ 329 / 2246 ] simplifiying candidate # 257.011 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 257.011 * * [simplify]: iters left: 6 (19 enodes) 257.021 * * [simplify]: iters left: 5 (73 enodes) 257.044 * * [simplify]: iters left: 4 (124 enodes) 257.067 * * [simplify]: iters left: 3 (192 enodes) 257.107 * * [simplify]: iters left: 2 (272 enodes) 257.164 * * [simplify]: iters left: 1 (371 enodes) 257.274 * * [simplify]: Extracting #0: cost 1 inf + 0 257.274 * * [simplify]: Extracting #1: cost 11 inf + 0 257.274 * * [simplify]: Extracting #2: cost 70 inf + 2 257.274 * * [simplify]: Extracting #3: cost 109 inf + 87 257.275 * * [simplify]: Extracting #4: cost 107 inf + 543 257.276 * * [simplify]: Extracting #5: cost 92 inf + 2429 257.277 * * [simplify]: Extracting #6: cost 72 inf + 7161 257.288 * * [simplify]: Extracting #7: cost 16 inf + 24514 257.303 * * [simplify]: Extracting #8: cost 0 inf + 29433 257.317 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 257.318 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))))) 257.318 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1))) 257.318 * * [simplify]: iters left: 6 (14 enodes) 257.323 * * [simplify]: iters left: 5 (53 enodes) 257.333 * * [simplify]: iters left: 4 (92 enodes) 257.347 * * [simplify]: iters left: 3 (137 enodes) 257.383 * * [simplify]: iters left: 2 (188 enodes) 257.442 * * [simplify]: iters left: 1 (283 enodes) 257.540 * * [simplify]: Extracting #0: cost 1 inf + 0 257.540 * * [simplify]: Extracting #1: cost 0 inf + 1 257.540 * [simplify]: Simplified to 0 257.540 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 257.541 * * * * [progress]: [ 330 / 2246 ] simplifiying candidate # 257.541 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 257.541 * * [simplify]: iters left: 6 (21 enodes) 257.555 * * [simplify]: iters left: 5 (83 enodes) 257.584 * * [simplify]: iters left: 4 (132 enodes) 257.626 * * [simplify]: iters left: 3 (210 enodes) 257.701 * * [simplify]: iters left: 2 (326 enodes) 257.825 * * [simplify]: iters left: 1 (487 enodes) 258.072 * * [simplify]: Extracting #0: cost 1 inf + 0 258.072 * * [simplify]: Extracting #1: cost 11 inf + 0 258.073 * * [simplify]: Extracting #2: cost 68 inf + 2 258.073 * * [simplify]: Extracting #3: cost 118 inf + 86 258.074 * * [simplify]: Extracting #4: cost 113 inf + 948 258.075 * * [simplify]: Extracting #5: cost 97 inf + 2973 258.077 * * [simplify]: Extracting #6: cost 63 inf + 11400 258.089 * * [simplify]: Extracting #7: cost 4 inf + 29510 258.110 * * [simplify]: Extracting #8: cost 0 inf + 30839 258.127 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 258.127 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))))) 258.128 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1)))) 258.128 * * [simplify]: iters left: 6 (15 enodes) 258.140 * * [simplify]: iters left: 5 (60 enodes) 258.161 * * [simplify]: iters left: 4 (93 enodes) 258.191 * * [simplify]: iters left: 3 (149 enodes) 258.232 * * [simplify]: iters left: 2 (229 enodes) 258.280 * * [simplify]: iters left: 1 (341 enodes) 258.390 * * [simplify]: Extracting #0: cost 1 inf + 0 258.390 * * [simplify]: Extracting #1: cost 0 inf + 1 258.390 * [simplify]: Simplified to 0 258.390 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 258.390 * * * * [progress]: [ 331 / 2246 ] simplifiying candidate # 258.390 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 258.390 * * [simplify]: iters left: 6 (21 enodes) 258.400 * * [simplify]: iters left: 5 (83 enodes) 258.417 * * [simplify]: iters left: 4 (132 enodes) 258.452 * * [simplify]: iters left: 3 (210 enodes) 258.503 * * [simplify]: iters left: 2 (326 enodes) 258.581 * * [simplify]: iters left: 1 (487 enodes) 258.767 * * [simplify]: Extracting #0: cost 1 inf + 0 258.767 * * [simplify]: Extracting #1: cost 11 inf + 0 258.767 * * [simplify]: Extracting #2: cost 68 inf + 2 258.768 * * [simplify]: Extracting #3: cost 118 inf + 86 258.769 * * [simplify]: Extracting #4: cost 113 inf + 948 258.771 * * [simplify]: Extracting #5: cost 97 inf + 2973 258.776 * * [simplify]: Extracting #6: cost 63 inf + 11400 258.791 * * [simplify]: Extracting #7: cost 4 inf + 29510 258.809 * * [simplify]: Extracting #8: cost 0 inf + 30839 258.829 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 258.829 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))))) 258.830 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1)))) 258.830 * * [simplify]: iters left: 6 (15 enodes) 258.842 * * [simplify]: iters left: 5 (60 enodes) 258.862 * * [simplify]: iters left: 4 (93 enodes) 258.890 * * [simplify]: iters left: 3 (149 enodes) 258.930 * * [simplify]: iters left: 2 (229 enodes) 258.996 * * [simplify]: iters left: 1 (341 enodes) 259.107 * * [simplify]: Extracting #0: cost 1 inf + 0 259.107 * * [simplify]: Extracting #1: cost 0 inf + 1 259.107 * [simplify]: Simplified to 0 259.107 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 259.107 * * * * [progress]: [ 332 / 2246 ] simplifiying candidate # 259.108 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 259.108 * * [simplify]: iters left: 6 (19 enodes) 259.118 * * [simplify]: iters left: 5 (73 enodes) 259.148 * * [simplify]: iters left: 4 (124 enodes) 259.186 * * [simplify]: iters left: 3 (192 enodes) 259.242 * * [simplify]: iters left: 2 (272 enodes) 259.303 * * [simplify]: iters left: 1 (371 enodes) 259.378 * * [simplify]: Extracting #0: cost 1 inf + 0 259.378 * * [simplify]: Extracting #1: cost 11 inf + 0 259.379 * * [simplify]: Extracting #2: cost 70 inf + 2 259.379 * * [simplify]: Extracting #3: cost 109 inf + 87 259.380 * * [simplify]: Extracting #4: cost 107 inf + 543 259.380 * * [simplify]: Extracting #5: cost 92 inf + 2429 259.382 * * [simplify]: Extracting #6: cost 72 inf + 7161 259.387 * * [simplify]: Extracting #7: cost 16 inf + 24514 259.394 * * [simplify]: Extracting #8: cost 0 inf + 29433 259.402 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 259.403 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))))) 259.403 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1))) 259.403 * * [simplify]: iters left: 6 (14 enodes) 259.407 * * [simplify]: iters left: 5 (53 enodes) 259.421 * * [simplify]: iters left: 4 (92 enodes) 259.439 * * [simplify]: iters left: 3 (137 enodes) 259.460 * * [simplify]: iters left: 2 (188 enodes) 259.502 * * [simplify]: iters left: 1 (283 enodes) 259.599 * * [simplify]: Extracting #0: cost 1 inf + 0 259.599 * * [simplify]: Extracting #1: cost 0 inf + 1 259.599 * [simplify]: Simplified to 0 259.599 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 259.600 * * * * [progress]: [ 333 / 2246 ] simplifiying candidate # 259.600 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))) 259.600 * * [simplify]: iters left: 6 (17 enodes) 259.609 * * [simplify]: iters left: 5 (67 enodes) 259.623 * * [simplify]: iters left: 4 (108 enodes) 259.646 * * [simplify]: iters left: 3 (169 enodes) 259.698 * * [simplify]: iters left: 2 (231 enodes) 259.771 * * [simplify]: iters left: 1 (331 enodes) 259.883 * * [simplify]: Extracting #0: cost 1 inf + 0 259.883 * * [simplify]: Extracting #1: cost 9 inf + 0 259.883 * * [simplify]: Extracting #2: cost 75 inf + 2 259.884 * * [simplify]: Extracting #3: cost 127 inf + 85 259.884 * * [simplify]: Extracting #4: cost 124 inf + 664 259.885 * * [simplify]: Extracting #5: cost 109 inf + 2572 259.890 * * [simplify]: Extracting #6: cost 30 inf + 25611 259.900 * * [simplify]: Extracting #7: cost 0 inf + 34805 259.916 * * [simplify]: Extracting #8: cost 0 inf + 34534 259.932 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 259.933 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1 (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))))) 259.933 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1 (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1)) 259.933 * * [simplify]: iters left: 6 (12 enodes) 259.939 * * [simplify]: iters left: 5 (47 enodes) 259.960 * * [simplify]: iters left: 4 (79 enodes) 259.984 * * [simplify]: iters left: 3 (107 enodes) 260.013 * * [simplify]: iters left: 2 (167 enodes) 260.044 * * [simplify]: iters left: 1 (239 enodes) 260.129 * * [simplify]: Extracting #0: cost 1 inf + 0 260.130 * * [simplify]: Extracting #1: cost 0 inf + 1 260.130 * [simplify]: Simplified to 0 260.130 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 260.130 * * * * [progress]: [ 334 / 2246 ] simplifiying candidate # 260.130 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))) 260.130 * * [simplify]: iters left: 6 (17 enodes) 260.135 * * [simplify]: iters left: 5 (68 enodes) 260.147 * * [simplify]: iters left: 4 (117 enodes) 260.189 * * [simplify]: iters left: 3 (192 enodes) 260.232 * * [simplify]: iters left: 2 (300 enodes) 260.334 * * [simplify]: iters left: 1 (441 enodes) 260.513 * * [simplify]: Extracting #0: cost 1 inf + 0 260.513 * * [simplify]: Extracting #1: cost 11 inf + 0 260.514 * * [simplify]: Extracting #2: cost 62 inf + 0 260.514 * * [simplify]: Extracting #3: cost 108 inf + 85 260.515 * * [simplify]: Extracting #4: cost 106 inf + 859 260.517 * * [simplify]: Extracting #5: cost 89 inf + 3301 260.530 * * [simplify]: Extracting #6: cost 20 inf + 22906 260.543 * * [simplify]: Extracting #7: cost 0 inf + 29133 260.552 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 260.552 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (hypot 1 x)) (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))))) 260.552 * [simplify]: Simplifying (fma (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (hypot 1 x)) (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x)))) 260.552 * * [simplify]: iters left: 6 (12 enodes) 260.556 * * [simplify]: iters left: 5 (50 enodes) 260.565 * * [simplify]: iters left: 4 (76 enodes) 260.578 * * [simplify]: iters left: 3 (143 enodes) 260.629 * * [simplify]: iters left: 2 (233 enodes) 260.721 * * [simplify]: iters left: 1 (369 enodes) 260.854 * * [simplify]: Extracting #0: cost 1 inf + 0 260.854 * * [simplify]: Extracting #1: cost 0 inf + 1 260.854 * [simplify]: Simplified to 0 260.854 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 260.854 * * * * [progress]: [ 335 / 2246 ] simplifiying candidate # 260.854 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 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))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))) 260.854 * * [simplify]: iters left: 6 (26 enodes) 260.862 * * [simplify]: iters left: 5 (108 enodes) 260.885 * * [simplify]: iters left: 4 (260 enodes) 260.960 * * [simplify]: Extracting #0: cost 1 inf + 0 260.960 * * [simplify]: Extracting #1: cost 11 inf + 0 260.960 * * [simplify]: Extracting #2: cost 109 inf + 0 260.961 * * [simplify]: Extracting #3: cost 184 inf + 207 260.962 * * [simplify]: Extracting #4: cost 165 inf + 4848 260.974 * * [simplify]: Extracting #5: cost 57 inf + 36228 260.988 * * [simplify]: Extracting #6: cost 5 inf + 54557 261.005 * * [simplify]: Extracting #7: cost 1 inf + 56261 261.027 * * [simplify]: Extracting #8: cost 0 inf + 56610 261.040 * [simplify]: Simplified to (- (* (* (/ (cbrt 1/2) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (cbrt 1/2)) (fma (/ (/ 1/2 (hypot 1 x)) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)) (- (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)))) 261.040 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (* (/ (cbrt 1/2) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (cbrt 1/2)) (fma (/ (/ 1/2 (hypot 1 x)) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)) (- (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)))) (fma (- (+ (* 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 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (* (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))))) 261.040 * [simplify]: Simplifying (fma (- (+ (* 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 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (* (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))))) 261.040 * * [simplify]: iters left: 6 (20 enodes) 261.047 * * [simplify]: iters left: 5 (87 enodes) 261.069 * * [simplify]: iters left: 4 (224 enodes) 261.174 * * [simplify]: Extracting #0: cost 1 inf + 0 261.174 * * [simplify]: Extracting #1: cost 14 inf + 0 261.174 * * [simplify]: Extracting #2: cost 116 inf + 0 261.176 * * [simplify]: Extracting #3: cost 173 inf + 989 261.182 * * [simplify]: Extracting #4: cost 109 inf + 16215 261.199 * * [simplify]: Extracting #5: cost 31 inf + 40092 261.214 * * [simplify]: Extracting #6: cost 1 inf + 50253 261.226 * * [simplify]: Extracting #7: cost 0 inf + 50642 261.240 * [simplify]: Simplified to (- (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 261.240 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 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))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))) (- (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))))) 261.240 * * * * [progress]: [ 336 / 2246 ] simplifiying candidate # 261.240 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 261.241 * * [simplify]: iters left: 6 (21 enodes) 261.246 * * [simplify]: iters left: 5 (81 enodes) 261.260 * * [simplify]: iters left: 4 (151 enodes) 261.297 * * [simplify]: iters left: 3 (309 enodes) 261.395 * * [simplify]: Extracting #0: cost 1 inf + 0 261.395 * * [simplify]: Extracting #1: cost 17 inf + 0 261.396 * * [simplify]: Extracting #2: cost 116 inf + 0 261.396 * * [simplify]: Extracting #3: cost 171 inf + 206 261.397 * * [simplify]: Extracting #4: cost 183 inf + 1356 261.398 * * [simplify]: Extracting #5: cost 153 inf + 5360 261.402 * * [simplify]: Extracting #6: cost 90 inf + 21463 261.413 * * [simplify]: Extracting #7: cost 10 inf + 46381 261.434 * * [simplify]: Extracting #8: cost 0 inf + 49381 261.457 * [simplify]: Simplified to (fma (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1) (/ (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 261.457 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1) (/ (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) (fma (- (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 261.457 * [simplify]: Simplifying (fma (- (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 261.458 * * [simplify]: iters left: 6 (15 enodes) 261.465 * * [simplify]: iters left: 5 (56 enodes) 261.484 * * [simplify]: iters left: 4 (109 enodes) 261.530 * * [simplify]: iters left: 3 (271 enodes) 261.641 * * [simplify]: Extracting #0: cost 1 inf + 0 261.641 * * [simplify]: Extracting #1: cost 0 inf + 1 261.641 * [simplify]: Simplified to 0 261.641 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 261.641 * * * * [progress]: [ 337 / 2246 ] simplifiying candidate # 261.642 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 261.642 * * [simplify]: iters left: 6 (18 enodes) 261.650 * * [simplify]: iters left: 5 (69 enodes) 261.663 * * [simplify]: iters left: 4 (110 enodes) 261.685 * * [simplify]: iters left: 3 (175 enodes) 261.744 * * [simplify]: iters left: 2 (268 enodes) 261.808 * * [simplify]: iters left: 1 (368 enodes) 261.947 * * [simplify]: Extracting #0: cost 1 inf + 0 261.947 * * [simplify]: Extracting #1: cost 13 inf + 0 261.948 * * [simplify]: Extracting #2: cost 80 inf + 0 261.949 * * [simplify]: Extracting #3: cost 123 inf + 85 261.950 * * [simplify]: Extracting #4: cost 117 inf + 1508 261.955 * * [simplify]: Extracting #5: cost 106 inf + 3691 261.961 * * [simplify]: Extracting #6: cost 78 inf + 11506 261.970 * * [simplify]: Extracting #7: cost 55 inf + 21384 261.990 * * [simplify]: Extracting #8: cost 4 inf + 60161 262.013 * * [simplify]: Extracting #9: cost 0 inf + 63692 262.036 * * [simplify]: Extracting #10: cost 0 inf + 63652 262.058 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 262.059 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 262.059 * [simplify]: Simplifying (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 262.060 * * [simplify]: iters left: 6 (14 enodes) 262.067 * * [simplify]: iters left: 5 (53 enodes) 262.081 * * [simplify]: iters left: 4 (76 enodes) 262.096 * * [simplify]: iters left: 3 (134 enodes) 262.133 * * [simplify]: iters left: 2 (194 enodes) 262.171 * * [simplify]: iters left: 1 (293 enodes) 262.240 * * [simplify]: Extracting #0: cost 1 inf + 0 262.240 * * [simplify]: Extracting #1: cost 0 inf + 1 262.240 * [simplify]: Simplified to 0 262.240 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 262.240 * * * * [progress]: [ 338 / 2246 ] simplifiying candidate # 262.241 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 262.241 * * [simplify]: iters left: 6 (17 enodes) 262.250 * * [simplify]: iters left: 5 (60 enodes) 262.270 * * [simplify]: iters left: 4 (94 enodes) 262.300 * * [simplify]: iters left: 3 (139 enodes) 262.352 * * [simplify]: iters left: 2 (191 enodes) 262.419 * * [simplify]: iters left: 1 (235 enodes) 262.496 * * [simplify]: Extracting #0: cost 1 inf + 0 262.496 * * [simplify]: Extracting #1: cost 11 inf + 0 262.496 * * [simplify]: Extracting #2: cost 41 inf + 0 262.496 * * [simplify]: Extracting #3: cost 55 inf + 206 262.497 * * [simplify]: Extracting #4: cost 46 inf + 1746 262.497 * * [simplify]: Extracting #5: cost 40 inf + 2872 262.500 * * [simplify]: Extracting #6: cost 13 inf + 11004 262.504 * * [simplify]: Extracting #7: cost 2 inf + 14420 262.508 * * [simplify]: Extracting #8: cost 0 inf + 15096 262.517 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 262.517 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 262.517 * [simplify]: Simplifying (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 262.518 * * [simplify]: iters left: 6 (13 enodes) 262.524 * * [simplify]: iters left: 5 (45 enodes) 262.538 * * [simplify]: iters left: 4 (60 enodes) 262.556 * * [simplify]: iters left: 3 (85 enodes) 262.585 * * [simplify]: iters left: 2 (102 enodes) 262.605 * * [simplify]: iters left: 1 (126 enodes) 262.623 * * [simplify]: Extracting #0: cost 1 inf + 0 262.623 * * [simplify]: Extracting #1: cost 0 inf + 1 262.623 * [simplify]: Simplified to 0 262.623 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 262.623 * * * * [progress]: [ 339 / 2246 ] simplifiying candidate # 262.623 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))) 262.623 * * [simplify]: iters left: 6 (21 enodes) 262.629 * * [simplify]: iters left: 5 (83 enodes) 262.644 * * [simplify]: iters left: 4 (176 enodes) 262.689 * * [simplify]: iters left: 3 (353 enodes) 262.788 * * [simplify]: Extracting #0: cost 1 inf + 0 262.788 * * [simplify]: Extracting #1: cost 13 inf + 0 262.788 * * [simplify]: Extracting #2: cost 83 inf + 0 262.789 * * [simplify]: Extracting #3: cost 127 inf + 165 262.790 * * [simplify]: Extracting #4: cost 127 inf + 993 262.791 * * [simplify]: Extracting #5: cost 122 inf + 1195 262.793 * * [simplify]: Extracting #6: cost 113 inf + 2831 262.795 * * [simplify]: Extracting #7: cost 104 inf + 4473 262.803 * * [simplify]: Extracting #8: cost 51 inf + 25631 262.822 * * [simplify]: Extracting #9: cost 3 inf + 46866 262.835 * * [simplify]: Extracting #10: cost 0 inf + 48320 262.854 * [simplify]: Simplified to (- (* (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt 1/2)) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 262.854 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt 1/2)) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))))) 262.855 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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)))))))) 262.855 * * [simplify]: iters left: 6 (17 enodes) 262.865 * * [simplify]: iters left: 5 (69 enodes) 262.884 * * [simplify]: iters left: 4 (135 enodes) 262.916 * * [simplify]: iters left: 3 (301 enodes) 262.992 * * [simplify]: Extracting #0: cost 1 inf + 0 262.992 * * [simplify]: Extracting #1: cost 0 inf + 1 262.992 * [simplify]: Simplified to 0 262.992 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))) 0))) 262.993 * * * * [progress]: [ 340 / 2246 ] simplifiying candidate # 262.993 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 262.993 * * [simplify]: iters left: 6 (20 enodes) 263.000 * * [simplify]: iters left: 5 (77 enodes) 263.028 * * [simplify]: iters left: 4 (139 enodes) 263.052 * * [simplify]: iters left: 3 (233 enodes) 263.120 * * [simplify]: iters left: 2 (344 enodes) 263.219 * * [simplify]: Extracting #0: cost 1 inf + 0 263.220 * * [simplify]: Extracting #1: cost 13 inf + 0 263.220 * * [simplify]: Extracting #2: cost 69 inf + 0 263.221 * * [simplify]: Extracting #3: cost 112 inf + 205 263.222 * * [simplify]: Extracting #4: cost 109 inf + 856 263.223 * * [simplify]: Extracting #5: cost 105 inf + 1093 263.224 * * [simplify]: Extracting #6: cost 101 inf + 1605 263.230 * * [simplify]: Extracting #7: cost 40 inf + 21191 263.248 * * [simplify]: Extracting #8: cost 2 inf + 35237 263.257 * * [simplify]: Extracting #9: cost 0 inf + 36111 263.266 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 263.266 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 263.266 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 263.266 * * [simplify]: iters left: 6 (16 enodes) 263.271 * * [simplify]: iters left: 5 (63 enodes) 263.286 * * [simplify]: iters left: 4 (100 enodes) 263.306 * * [simplify]: iters left: 3 (175 enodes) 263.358 * * [simplify]: iters left: 2 (267 enodes) 263.426 * * [simplify]: iters left: 1 (373 enodes) 263.555 * * [simplify]: Extracting #0: cost 1 inf + 0 263.555 * * [simplify]: Extracting #1: cost 0 inf + 1 263.555 * [simplify]: Simplified to 0 263.555 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 263.556 * * * * [progress]: [ 341 / 2246 ] simplifiying candidate # 263.556 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 263.556 * * [simplify]: iters left: 6 (19 enodes) 263.561 * * [simplify]: iters left: 5 (72 enodes) 263.579 * * [simplify]: iters left: 4 (139 enodes) 263.632 * * [simplify]: iters left: 3 (254 enodes) 263.757 * * [simplify]: iters left: 2 (444 enodes) 263.971 * * [simplify]: Extracting #0: cost 1 inf + 0 263.971 * * [simplify]: Extracting #1: cost 15 inf + 0 263.971 * * [simplify]: Extracting #2: cost 69 inf + 0 263.972 * * [simplify]: Extracting #3: cost 124 inf + 84 263.973 * * [simplify]: Extracting #4: cost 119 inf + 752 263.978 * * [simplify]: Extracting #5: cost 110 inf + 1802 263.985 * * [simplify]: Extracting #6: cost 50 inf + 22751 264.003 * * [simplify]: Extracting #7: cost 2 inf + 42946 264.022 * * [simplify]: Extracting #8: cost 0 inf + 43884 264.041 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 264.041 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))))) 264.042 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1))) 264.042 * * [simplify]: iters left: 6 (15 enodes) 264.049 * * [simplify]: iters left: 5 (58 enodes) 264.068 * * [simplify]: iters left: 4 (100 enodes) 264.105 * * [simplify]: iters left: 3 (192 enodes) 264.170 * * [simplify]: iters left: 2 (333 enodes) 264.282 * * [simplify]: Extracting #0: cost 1 inf + 0 264.282 * * [simplify]: Extracting #1: cost 0 inf + 1 264.282 * [simplify]: Simplified to 0 264.282 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 0))) 264.282 * * * * [progress]: [ 342 / 2246 ] simplifiying candidate # 264.282 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 264.283 * * [simplify]: iters left: 6 (21 enodes) 264.298 * * [simplify]: iters left: 5 (81 enodes) 264.322 * * [simplify]: iters left: 4 (133 enodes) 264.344 * * [simplify]: iters left: 3 (236 enodes) 264.420 * * [simplify]: iters left: 2 (384 enodes) 264.562 * * [simplify]: Extracting #0: cost 1 inf + 0 264.562 * * [simplify]: Extracting #1: cost 13 inf + 0 264.562 * * [simplify]: Extracting #2: cost 57 inf + 0 264.563 * * [simplify]: Extracting #3: cost 90 inf + 205 264.563 * * [simplify]: Extracting #4: cost 87 inf + 856 264.563 * * [simplify]: Extracting #5: cost 83 inf + 1093 264.564 * * [simplify]: Extracting #6: cost 78 inf + 1702 264.567 * * [simplify]: Extracting #7: cost 34 inf + 15260 264.573 * * [simplify]: Extracting #8: cost 2 inf + 26278 264.582 * * [simplify]: Extracting #9: cost 0 inf + 27034 264.589 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 264.589 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))))) 264.590 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)))) 264.590 * * [simplify]: iters left: 6 (16 enodes) 264.599 * * [simplify]: iters left: 5 (63 enodes) 264.619 * * [simplify]: iters left: 4 (94 enodes) 264.639 * * [simplify]: iters left: 3 (179 enodes) 264.703 * * [simplify]: iters left: 2 (303 enodes) 264.797 * * [simplify]: iters left: 1 (423 enodes) 264.985 * * [simplify]: Extracting #0: cost 1 inf + 0 264.985 * * [simplify]: Extracting #1: cost 0 inf + 1 264.985 * [simplify]: Simplified to 0 264.985 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 264.986 * * * * [progress]: [ 343 / 2246 ] simplifiying candidate # 264.986 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 264.986 * * [simplify]: iters left: 6 (21 enodes) 264.999 * * [simplify]: iters left: 5 (81 enodes) 265.024 * * [simplify]: iters left: 4 (133 enodes) 265.049 * * [simplify]: iters left: 3 (236 enodes) 265.117 * * [simplify]: iters left: 2 (384 enodes) 265.254 * * [simplify]: Extracting #0: cost 1 inf + 0 265.254 * * [simplify]: Extracting #1: cost 13 inf + 0 265.254 * * [simplify]: Extracting #2: cost 57 inf + 0 265.254 * * [simplify]: Extracting #3: cost 90 inf + 205 265.255 * * [simplify]: Extracting #4: cost 87 inf + 856 265.255 * * [simplify]: Extracting #5: cost 83 inf + 1093 265.256 * * [simplify]: Extracting #6: cost 78 inf + 1702 265.261 * * [simplify]: Extracting #7: cost 34 inf + 15260 265.268 * * [simplify]: Extracting #8: cost 2 inf + 26278 265.274 * * [simplify]: Extracting #9: cost 0 inf + 27034 265.281 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 265.281 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))))) 265.281 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)))) 265.281 * * [simplify]: iters left: 6 (16 enodes) 265.287 * * [simplify]: iters left: 5 (63 enodes) 265.306 * * [simplify]: iters left: 4 (94 enodes) 265.325 * * [simplify]: iters left: 3 (179 enodes) 265.378 * * [simplify]: iters left: 2 (303 enodes) 265.512 * * [simplify]: iters left: 1 (423 enodes) 265.653 * * [simplify]: Extracting #0: cost 1 inf + 0 265.653 * * [simplify]: Extracting #1: cost 0 inf + 1 265.653 * [simplify]: Simplified to 0 265.653 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 265.653 * * * * [progress]: [ 344 / 2246 ] simplifiying candidate # 265.653 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 265.653 * * [simplify]: iters left: 6 (19 enodes) 265.658 * * [simplify]: iters left: 5 (72 enodes) 265.683 * * [simplify]: iters left: 4 (139 enodes) 265.734 * * [simplify]: iters left: 3 (254 enodes) 265.842 * * [simplify]: iters left: 2 (444 enodes) 266.021 * * [simplify]: Extracting #0: cost 1 inf + 0 266.021 * * [simplify]: Extracting #1: cost 15 inf + 0 266.021 * * [simplify]: Extracting #2: cost 69 inf + 0 266.022 * * [simplify]: Extracting #3: cost 124 inf + 84 266.025 * * [simplify]: Extracting #4: cost 119 inf + 752 266.025 * * [simplify]: Extracting #5: cost 110 inf + 1802 266.029 * * [simplify]: Extracting #6: cost 50 inf + 22751 266.044 * * [simplify]: Extracting #7: cost 2 inf + 42946 266.062 * * [simplify]: Extracting #8: cost 0 inf + 43884 266.081 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 266.081 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))))) 266.082 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1))) 266.082 * * [simplify]: iters left: 6 (15 enodes) 266.090 * * [simplify]: iters left: 5 (58 enodes) 266.109 * * [simplify]: iters left: 4 (100 enodes) 266.147 * * [simplify]: iters left: 3 (192 enodes) 266.217 * * [simplify]: iters left: 2 (333 enodes) 266.325 * * [simplify]: Extracting #0: cost 1 inf + 0 266.325 * * [simplify]: Extracting #1: cost 0 inf + 1 266.325 * [simplify]: Simplified to 0 266.325 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 0))) 266.326 * * * * [progress]: [ 345 / 2246 ] simplifiying candidate # 266.326 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 266.326 * * [simplify]: iters left: 6 (20 enodes) 266.334 * * [simplify]: iters left: 5 (76 enodes) 266.352 * * [simplify]: iters left: 4 (137 enodes) 266.396 * * [simplify]: iters left: 3 (214 enodes) 266.439 * * [simplify]: iters left: 2 (309 enodes) 266.515 * * [simplify]: iters left: 1 (387 enodes) 266.617 * * [simplify]: Extracting #0: cost 1 inf + 0 266.618 * * [simplify]: Extracting #1: cost 13 inf + 0 266.618 * * [simplify]: Extracting #2: cost 60 inf + 0 266.619 * * [simplify]: Extracting #3: cost 89 inf + 84 266.619 * * [simplify]: Extracting #4: cost 91 inf + 530 266.620 * * [simplify]: Extracting #5: cost 83 inf + 1449 266.628 * * [simplify]: Extracting #6: cost 35 inf + 16005 266.642 * * [simplify]: Extracting #7: cost 2 inf + 27879 266.657 * * [simplify]: Extracting #8: cost 0 inf + 28713 266.673 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 266.673 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 266.674 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 266.674 * * [simplify]: iters left: 6 (16 enodes) 266.682 * * [simplify]: iters left: 5 (62 enodes) 266.695 * * [simplify]: iters left: 4 (99 enodes) 266.711 * * [simplify]: iters left: 3 (150 enodes) 266.757 * * [simplify]: iters left: 2 (222 enodes) 266.798 * * [simplify]: iters left: 1 (302 enodes) 266.890 * * [simplify]: Extracting #0: cost 1 inf + 0 266.890 * * [simplify]: Extracting #1: cost 0 inf + 1 266.891 * [simplify]: Simplified to 0 266.891 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 266.891 * * * * [progress]: [ 346 / 2246 ] simplifiying candidate # 266.891 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 266.892 * * [simplify]: iters left: 6 (18 enodes) 266.901 * * [simplify]: iters left: 5 (67 enodes) 266.920 * * [simplify]: iters left: 4 (108 enodes) 266.938 * * [simplify]: iters left: 3 (162 enodes) 266.980 * * [simplify]: iters left: 2 (233 enodes) 267.028 * * [simplify]: iters left: 1 (283 enodes) 267.109 * * [simplify]: Extracting #0: cost 1 inf + 0 267.109 * * [simplify]: Extracting #1: cost 11 inf + 0 267.109 * * [simplify]: Extracting #2: cost 50 inf + 0 267.110 * * [simplify]: Extracting #3: cost 76 inf + 84 267.110 * * [simplify]: Extracting #4: cost 77 inf + 732 267.111 * * [simplify]: Extracting #5: cost 68 inf + 1740 267.114 * * [simplify]: Extracting #6: cost 29 inf + 13243 267.119 * * [simplify]: Extracting #7: cost 1 inf + 21787 267.125 * * [simplify]: Extracting #8: cost 0 inf + 22125 267.131 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 267.131 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 267.132 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 267.132 * * [simplify]: iters left: 6 (14 enodes) 267.135 * * [simplify]: iters left: 5 (54 enodes) 267.146 * * [simplify]: iters left: 4 (77 enodes) 267.169 * * [simplify]: iters left: 3 (106 enodes) 267.200 * * [simplify]: iters left: 2 (137 enodes) 267.237 * * [simplify]: iters left: 1 (167 enodes) 267.284 * * [simplify]: Extracting #0: cost 1 inf + 0 267.284 * * [simplify]: Extracting #1: cost 0 inf + 1 267.285 * [simplify]: Simplified to 0 267.285 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 267.285 * * * * [progress]: [ 347 / 2246 ] simplifiying candidate # 267.285 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 267.286 * * [simplify]: iters left: 6 (18 enodes) 267.295 * * [simplify]: iters left: 5 (67 enodes) 267.318 * * [simplify]: iters left: 4 (112 enodes) 267.344 * * [simplify]: iters left: 3 (184 enodes) 267.387 * * [simplify]: iters left: 2 (261 enodes) 267.444 * * [simplify]: iters left: 1 (332 enodes) 267.563 * * [simplify]: Extracting #0: cost 1 inf + 0 267.563 * * [simplify]: Extracting #1: cost 13 inf + 0 267.563 * * [simplify]: Extracting #2: cost 46 inf + 0 267.564 * * [simplify]: Extracting #3: cost 62 inf + 84 267.564 * * [simplify]: Extracting #4: cost 61 inf + 847 267.566 * * [simplify]: Extracting #5: cost 49 inf + 2648 267.571 * * [simplify]: Extracting #6: cost 12 inf + 13228 267.581 * * [simplify]: Extracting #7: cost 0 inf + 16594 267.590 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 267.590 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))))) 267.591 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1))) 267.591 * * [simplify]: iters left: 6 (14 enodes) 267.598 * * [simplify]: iters left: 5 (53 enodes) 267.617 * * [simplify]: iters left: 4 (78 enodes) 267.643 * * [simplify]: iters left: 3 (126 enodes) 267.671 * * [simplify]: iters left: 2 (171 enodes) 267.724 * * [simplify]: iters left: 1 (225 enodes) 267.764 * * [simplify]: Extracting #0: cost 1 inf + 0 267.764 * * [simplify]: Extracting #1: cost 0 inf + 1 267.764 * [simplify]: Simplified to 0 267.764 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 267.765 * * * * [progress]: [ 348 / 2246 ] simplifiying candidate # 267.765 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 267.765 * * [simplify]: iters left: 6 (20 enodes) 267.771 * * [simplify]: iters left: 5 (76 enodes) 267.784 * * [simplify]: iters left: 4 (118 enodes) 267.806 * * [simplify]: iters left: 3 (172 enodes) 267.858 * * [simplify]: iters left: 2 (245 enodes) 267.918 * * [simplify]: iters left: 1 (299 enodes) 268.012 * * [simplify]: Extracting #0: cost 1 inf + 0 268.012 * * [simplify]: Extracting #1: cost 13 inf + 0 268.012 * * [simplify]: Extracting #2: cost 56 inf + 0 268.013 * * [simplify]: Extracting #3: cost 71 inf + 206 268.013 * * [simplify]: Extracting #4: cost 69 inf + 976 268.015 * * [simplify]: Extracting #5: cost 59 inf + 2693 268.019 * * [simplify]: Extracting #6: cost 18 inf + 13940 268.029 * * [simplify]: Extracting #7: cost 1 inf + 19662 268.039 * * [simplify]: Extracting #8: cost 0 inf + 19395 268.048 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 268.048 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))))) 268.049 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)))) 268.049 * * [simplify]: iters left: 6 (15 enodes) 268.057 * * [simplify]: iters left: 5 (58 enodes) 268.075 * * [simplify]: iters left: 4 (84 enodes) 268.103 * * [simplify]: iters left: 3 (133 enodes) 268.134 * * [simplify]: iters left: 2 (175 enodes) 268.168 * * [simplify]: iters left: 1 (209 enodes) 268.225 * * [simplify]: Extracting #0: cost 1 inf + 0 268.225 * * [simplify]: Extracting #1: cost 0 inf + 1 268.225 * [simplify]: Simplified to 0 268.225 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 268.226 * * * * [progress]: [ 349 / 2246 ] simplifiying candidate # 268.226 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 268.226 * * [simplify]: iters left: 6 (20 enodes) 268.235 * * [simplify]: iters left: 5 (76 enodes) 268.251 * * [simplify]: iters left: 4 (118 enodes) 268.270 * * [simplify]: iters left: 3 (172 enodes) 268.298 * * [simplify]: iters left: 2 (245 enodes) 268.345 * * [simplify]: iters left: 1 (299 enodes) 268.431 * * [simplify]: Extracting #0: cost 1 inf + 0 268.431 * * [simplify]: Extracting #1: cost 13 inf + 0 268.432 * * [simplify]: Extracting #2: cost 56 inf + 0 268.432 * * [simplify]: Extracting #3: cost 71 inf + 206 268.433 * * [simplify]: Extracting #4: cost 69 inf + 976 268.434 * * [simplify]: Extracting #5: cost 59 inf + 2693 268.439 * * [simplify]: Extracting #6: cost 18 inf + 13940 268.449 * * [simplify]: Extracting #7: cost 1 inf + 19662 268.459 * * [simplify]: Extracting #8: cost 0 inf + 19395 268.469 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 268.469 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))))) 268.470 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)))) 268.470 * * [simplify]: iters left: 6 (15 enodes) 268.479 * * [simplify]: iters left: 5 (58 enodes) 268.497 * * [simplify]: iters left: 4 (84 enodes) 268.514 * * [simplify]: iters left: 3 (133 enodes) 268.540 * * [simplify]: iters left: 2 (175 enodes) 268.576 * * [simplify]: iters left: 1 (209 enodes) 268.617 * * [simplify]: Extracting #0: cost 1 inf + 0 268.617 * * [simplify]: Extracting #1: cost 0 inf + 1 268.617 * [simplify]: Simplified to 0 268.617 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 268.617 * * * * [progress]: [ 350 / 2246 ] simplifiying candidate # 268.618 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 268.618 * * [simplify]: iters left: 6 (18 enodes) 268.627 * * [simplify]: iters left: 5 (67 enodes) 268.650 * * [simplify]: iters left: 4 (112 enodes) 268.678 * * [simplify]: iters left: 3 (184 enodes) 268.713 * * [simplify]: iters left: 2 (261 enodes) 268.785 * * [simplify]: iters left: 1 (332 enodes) 268.863 * * [simplify]: Extracting #0: cost 1 inf + 0 268.863 * * [simplify]: Extracting #1: cost 13 inf + 0 268.863 * * [simplify]: Extracting #2: cost 46 inf + 0 268.863 * * [simplify]: Extracting #3: cost 62 inf + 84 268.863 * * [simplify]: Extracting #4: cost 61 inf + 847 268.864 * * [simplify]: Extracting #5: cost 49 inf + 2648 268.867 * * [simplify]: Extracting #6: cost 12 inf + 13228 268.872 * * [simplify]: Extracting #7: cost 0 inf + 16594 268.877 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 268.877 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))))) 268.877 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1))) 268.877 * * [simplify]: iters left: 6 (14 enodes) 268.883 * * [simplify]: iters left: 5 (53 enodes) 268.903 * * [simplify]: iters left: 4 (78 enodes) 268.922 * * [simplify]: iters left: 3 (126 enodes) 268.943 * * [simplify]: iters left: 2 (171 enodes) 268.978 * * [simplify]: iters left: 1 (225 enodes) 269.021 * * [simplify]: Extracting #0: cost 1 inf + 0 269.021 * * [simplify]: Extracting #1: cost 0 inf + 1 269.021 * [simplify]: Simplified to 0 269.021 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 269.021 * * * * [progress]: [ 351 / 2246 ] simplifiying candidate # 269.021 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 269.022 * * [simplify]: iters left: 6 (23 enodes) 269.028 * * [simplify]: iters left: 5 (95 enodes) 269.053 * * [simplify]: iters left: 4 (247 enodes) 269.147 * * [simplify]: Extracting #0: cost 1 inf + 0 269.148 * * [simplify]: Extracting #1: cost 13 inf + 0 269.148 * * [simplify]: Extracting #2: cost 158 inf + 0 269.149 * * [simplify]: Extracting #3: cost 264 inf + 1053 269.150 * * [simplify]: Extracting #4: cost 263 inf + 2101 269.151 * * [simplify]: Extracting #5: cost 255 inf + 4301 269.156 * * [simplify]: Extracting #6: cost 187 inf + 31980 269.194 * * [simplify]: Extracting #7: cost 44 inf + 112234 269.249 * * [simplify]: Extracting #8: cost 0 inf + 138866 269.304 * * [simplify]: Extracting #9: cost 0 inf + 138826 269.359 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 269.359 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 269.360 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 269.360 * * [simplify]: iters left: 6 (21 enodes) 269.370 * * [simplify]: iters left: 5 (87 enodes) 269.402 * * [simplify]: iters left: 4 (200 enodes) 269.503 * * [simplify]: Extracting #0: cost 1 inf + 0 269.503 * * [simplify]: Extracting #1: cost 25 inf + 0 269.503 * * [simplify]: Extracting #2: cost 150 inf + 0 269.504 * * [simplify]: Extracting #3: cost 243 inf + 1 269.505 * * [simplify]: Extracting #4: cost 245 inf + 365 269.507 * * [simplify]: Extracting #5: cost 226 inf + 4202 269.510 * * [simplify]: Extracting #6: cost 200 inf + 13225 269.520 * * [simplify]: Extracting #7: cost 154 inf + 36777 269.544 * * [simplify]: Extracting #8: cost 20 inf + 116269 269.579 * * [simplify]: Extracting #9: cost 0 inf + 128603 269.608 * [simplify]: Simplified to (- (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 269.608 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) (- (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 269.609 * * * * [progress]: [ 352 / 2246 ] simplifiying candidate # 269.609 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 269.609 * * [simplify]: iters left: 6 (22 enodes) 269.620 * * [simplify]: iters left: 5 (90 enodes) 269.654 * * [simplify]: iters left: 4 (212 enodes) 269.746 * * [simplify]: Extracting #0: cost 1 inf + 0 269.746 * * [simplify]: Extracting #1: cost 13 inf + 0 269.746 * * [simplify]: Extracting #2: cost 120 inf + 0 269.747 * * [simplify]: Extracting #3: cost 192 inf + 407 269.749 * * [simplify]: Extracting #4: cost 188 inf + 1739 269.751 * * [simplify]: Extracting #5: cost 174 inf + 5171 269.758 * * [simplify]: Extracting #6: cost 123 inf + 24266 269.778 * * [simplify]: Extracting #7: cost 30 inf + 72020 269.794 * * [simplify]: Extracting #8: cost 0 inf + 88200 269.827 * * [simplify]: Extracting #9: cost 0 inf + 88120 269.862 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 269.862 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 269.863 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 269.863 * * [simplify]: iters left: 6 (20 enodes) 269.873 * * [simplify]: iters left: 5 (82 enodes) 269.895 * * [simplify]: iters left: 4 (166 enodes) 269.963 * * [simplify]: Extracting #0: cost 1 inf + 0 269.963 * * [simplify]: Extracting #1: cost 22 inf + 0 269.963 * * [simplify]: Extracting #2: cost 106 inf + 0 269.964 * * [simplify]: Extracting #3: cost 175 inf + 0 269.965 * * [simplify]: Extracting #4: cost 174 inf + 286 269.967 * * [simplify]: Extracting #5: cost 165 inf + 2060 269.970 * * [simplify]: Extracting #6: cost 133 inf + 12055 269.974 * * [simplify]: Extracting #7: cost 124 inf + 14115 269.986 * * [simplify]: Extracting #8: cost 61 inf + 47169 270.014 * * [simplify]: Extracting #9: cost 3 inf + 80053 270.031 * * [simplify]: Extracting #10: cost 0 inf + 81907 270.047 * [simplify]: Simplified to (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 270.047 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))))))) 270.047 * * * * [progress]: [ 353 / 2246 ] simplifiying candidate # 270.047 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 270.048 * * [simplify]: iters left: 6 (21 enodes) 270.062 * * [simplify]: iters left: 5 (84 enodes) 270.094 * * [simplify]: iters left: 4 (200 enodes) 270.176 * * [simplify]: Extracting #0: cost 1 inf + 0 270.176 * * [simplify]: Extracting #1: cost 15 inf + 0 270.177 * * [simplify]: Extracting #2: cost 104 inf + 0 270.177 * * [simplify]: Extracting #3: cost 150 inf + 729 270.178 * * [simplify]: Extracting #4: cost 146 inf + 2030 270.178 * * [simplify]: Extracting #5: cost 144 inf + 2211 270.181 * * [simplify]: Extracting #6: cost 109 inf + 12727 270.194 * * [simplify]: Extracting #7: cost 17 inf + 51731 270.216 * * [simplify]: Extracting #8: cost 0 inf + 60317 270.239 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 270.239 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 270.240 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 270.240 * * [simplify]: iters left: 6 (19 enodes) 270.250 * * [simplify]: iters left: 5 (76 enodes) 270.279 * * [simplify]: iters left: 4 (173 enodes) 270.373 * * [simplify]: Extracting #0: cost 1 inf + 0 270.373 * * [simplify]: Extracting #1: cost 14 inf + 0 270.374 * * [simplify]: Extracting #2: cost 90 inf + 0 270.374 * * [simplify]: Extracting #3: cost 150 inf + 1 270.374 * * [simplify]: Extracting #4: cost 151 inf + 286 270.375 * * [simplify]: Extracting #5: cost 139 inf + 2371 270.377 * * [simplify]: Extracting #6: cost 93 inf + 16977 270.385 * * [simplify]: Extracting #7: cost 13 inf + 53665 270.396 * * [simplify]: Extracting #8: cost 0 inf + 59778 270.410 * [simplify]: Simplified to (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 270.410 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 270.411 * * * * [progress]: [ 354 / 2246 ] simplifiying candidate # 270.411 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 270.412 * * [simplify]: iters left: 6 (23 enodes) 270.429 * * [simplify]: iters left: 5 (94 enodes) 270.461 * * [simplify]: iters left: 4 (178 enodes) 270.516 * * [simplify]: iters left: 3 (435 enodes) 270.896 * * [simplify]: Extracting #0: cost 1 inf + 0 270.896 * * [simplify]: Extracting #1: cost 25 inf + 0 270.897 * * [simplify]: Extracting #2: cost 206 inf + 0 270.899 * * [simplify]: Extracting #3: cost 339 inf + 1900 270.903 * * [simplify]: Extracting #4: cost 323 inf + 5467 270.908 * * [simplify]: Extracting #5: cost 295 inf + 13439 270.921 * * [simplify]: Extracting #6: cost 215 inf + 40344 270.942 * * [simplify]: Extracting #7: cost 161 inf + 62006 270.997 * * [simplify]: Extracting #8: cost 27 inf + 129403 271.056 * * [simplify]: Extracting #9: cost 0 inf + 142769 271.110 * [simplify]: Simplified to (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt (hypot 1 x)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 271.110 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt (hypot 1 x)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 271.110 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 271.110 * * [simplify]: iters left: 6 (20 enodes) 271.116 * * [simplify]: iters left: 5 (82 enodes) 271.133 * * [simplify]: iters left: 4 (138 enodes) 271.184 * * [simplify]: iters left: 3 (402 enodes) 271.510 * * [simplify]: Extracting #0: cost 1 inf + 0 271.510 * * [simplify]: Extracting #1: cost 0 inf + 1 271.510 * [simplify]: Simplified to 0 271.510 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 0))) 271.510 * * * * [progress]: [ 355 / 2246 ] simplifiying candidate # 271.510 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 271.511 * * [simplify]: iters left: 6 (23 enodes) 271.517 * * [simplify]: iters left: 5 (94 enodes) 271.544 * * [simplify]: iters left: 4 (178 enodes) 271.623 * * [simplify]: iters left: 3 (435 enodes) 271.974 * * [simplify]: Extracting #0: cost 1 inf + 0 271.974 * * [simplify]: Extracting #1: cost 25 inf + 0 271.975 * * [simplify]: Extracting #2: cost 206 inf + 0 271.978 * * [simplify]: Extracting #3: cost 339 inf + 1900 271.982 * * [simplify]: Extracting #4: cost 323 inf + 5467 271.987 * * [simplify]: Extracting #5: cost 295 inf + 13439 271.999 * * [simplify]: Extracting #6: cost 215 inf + 40344 272.026 * * [simplify]: Extracting #7: cost 161 inf + 62006 272.078 * * [simplify]: Extracting #8: cost 27 inf + 129403 272.138 * * [simplify]: Extracting #9: cost 0 inf + 142769 272.187 * [simplify]: Simplified to (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt (hypot 1 x)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 272.187 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt (hypot 1 x)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 272.187 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 272.187 * * [simplify]: iters left: 6 (20 enodes) 272.195 * * [simplify]: iters left: 5 (82 enodes) 272.209 * * [simplify]: iters left: 4 (138 enodes) 272.260 * * [simplify]: iters left: 3 (402 enodes) 272.536 * * [simplify]: Extracting #0: cost 1 inf + 0 272.536 * * [simplify]: Extracting #1: cost 0 inf + 1 272.536 * [simplify]: Simplified to 0 272.536 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 0))) 272.537 * * * * [progress]: [ 356 / 2246 ] simplifiying candidate # 272.537 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 272.537 * * [simplify]: iters left: 6 (21 enodes) 272.547 * * [simplify]: iters left: 5 (84 enodes) 272.575 * * [simplify]: iters left: 4 (200 enodes) 272.670 * * [simplify]: Extracting #0: cost 1 inf + 0 272.670 * * [simplify]: Extracting #1: cost 15 inf + 0 272.670 * * [simplify]: Extracting #2: cost 104 inf + 0 272.671 * * [simplify]: Extracting #3: cost 150 inf + 729 272.672 * * [simplify]: Extracting #4: cost 146 inf + 2030 272.674 * * [simplify]: Extracting #5: cost 144 inf + 2211 272.676 * * [simplify]: Extracting #6: cost 109 inf + 12727 272.690 * * [simplify]: Extracting #7: cost 17 inf + 51731 272.709 * * [simplify]: Extracting #8: cost 0 inf + 60317 272.725 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 272.725 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 272.726 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 272.726 * * [simplify]: iters left: 6 (19 enodes) 272.731 * * [simplify]: iters left: 5 (76 enodes) 272.746 * * [simplify]: iters left: 4 (173 enodes) 272.815 * * [simplify]: Extracting #0: cost 1 inf + 0 272.815 * * [simplify]: Extracting #1: cost 14 inf + 0 272.815 * * [simplify]: Extracting #2: cost 90 inf + 0 272.815 * * [simplify]: Extracting #3: cost 150 inf + 1 272.816 * * [simplify]: Extracting #4: cost 151 inf + 286 272.817 * * [simplify]: Extracting #5: cost 139 inf + 2371 272.819 * * [simplify]: Extracting #6: cost 93 inf + 16977 272.827 * * [simplify]: Extracting #7: cost 13 inf + 53665 272.838 * * [simplify]: Extracting #8: cost 0 inf + 59778 272.851 * [simplify]: Simplified to (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 272.851 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 272.852 * * * * [progress]: [ 357 / 2246 ] simplifiying candidate # 272.852 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 272.852 * * [simplify]: iters left: 6 (22 enodes) 272.858 * * [simplify]: iters left: 5 (89 enodes) 272.876 * * [simplify]: iters left: 4 (214 enodes) 272.956 * * [simplify]: Extracting #0: cost 1 inf + 0 272.956 * * [simplify]: Extracting #1: cost 13 inf + 0 272.956 * * [simplify]: Extracting #2: cost 118 inf + 0 272.958 * * [simplify]: Extracting #3: cost 197 inf + 730 272.960 * * [simplify]: Extracting #4: cost 193 inf + 1979 272.963 * * [simplify]: Extracting #5: cost 181 inf + 4553 272.966 * * [simplify]: Extracting #6: cost 163 inf + 9535 272.973 * * [simplify]: Extracting #7: cost 136 inf + 20821 273.002 * * [simplify]: Extracting #8: cost 24 inf + 82317 273.032 * * [simplify]: Extracting #9: cost 0 inf + 95189 273.055 * * [simplify]: Extracting #10: cost 0 inf + 94949 273.083 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (/ (cbrt 1/2) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (sqrt (hypot 1 x)) (cbrt 1/2)))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (sqrt (hypot 1 x)) (cbrt 1/2)))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 273.083 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (/ (cbrt 1/2) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (sqrt (hypot 1 x)) (cbrt 1/2)))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (sqrt (hypot 1 x)) (cbrt 1/2)))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 273.083 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 273.084 * * [simplify]: iters left: 6 (20 enodes) 273.089 * * [simplify]: iters left: 5 (81 enodes) 273.104 * * [simplify]: iters left: 4 (169 enodes) 273.169 * * [simplify]: Extracting #0: cost 1 inf + 0 273.169 * * [simplify]: Extracting #1: cost 22 inf + 0 273.170 * * [simplify]: Extracting #2: cost 104 inf + 0 273.170 * * [simplify]: Extracting #3: cost 169 inf + 0 273.171 * * [simplify]: Extracting #4: cost 160 inf + 1174 273.172 * * [simplify]: Extracting #5: cost 140 inf + 5986 273.173 * * [simplify]: Extracting #6: cost 136 inf + 7316 273.174 * * [simplify]: Extracting #7: cost 132 inf + 7868 273.180 * * [simplify]: Extracting #8: cost 72 inf + 39468 273.196 * * [simplify]: Extracting #9: cost 3 inf + 80030 273.222 * * [simplify]: Extracting #10: cost 0 inf + 81164 273.249 * * [simplify]: Extracting #11: cost 0 inf + 80644 273.265 * * [simplify]: Extracting #12: cost 0 inf + 80484 273.291 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) 273.291 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))))))) 273.292 * * * * [progress]: [ 358 / 2246 ] simplifiying candidate # 273.292 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 273.292 * * [simplify]: iters left: 6 (21 enodes) 273.298 * * [simplify]: iters left: 5 (83 enodes) 273.313 * * [simplify]: iters left: 4 (182 enodes) 273.390 * * [simplify]: iters left: 3 (498 enodes) 273.765 * * [simplify]: Extracting #0: cost 1 inf + 0 273.765 * * [simplify]: Extracting #1: cost 13 inf + 0 273.766 * * [simplify]: Extracting #2: cost 161 inf + 0 273.767 * * [simplify]: Extracting #3: cost 304 inf + 1172 273.769 * * [simplify]: Extracting #4: cost 292 inf + 3835 273.771 * * [simplify]: Extracting #5: cost 274 inf + 7956 273.780 * * [simplify]: Extracting #6: cost 206 inf + 33053 273.841 * * [simplify]: Extracting #7: cost 33 inf + 114007 273.888 * * [simplify]: Extracting #8: cost 0 inf + 130786 273.957 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 273.958 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 273.958 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 273.959 * * [simplify]: iters left: 6 (19 enodes) 273.968 * * [simplify]: iters left: 5 (75 enodes) 273.991 * * [simplify]: iters left: 4 (138 enodes) 274.027 * * [simplify]: iters left: 3 (364 enodes) 274.225 * * [simplify]: Extracting #0: cost 1 inf + 0 274.225 * * [simplify]: Extracting #1: cost 0 inf + 1 274.225 * [simplify]: Simplified to 0 274.225 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 274.225 * * * * [progress]: [ 359 / 2246 ] simplifiying candidate # 274.228 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 274.228 * * [simplify]: iters left: 6 (20 enodes) 274.233 * * [simplify]: iters left: 5 (79 enodes) 274.248 * * [simplify]: iters left: 4 (153 enodes) 274.280 * * [simplify]: iters left: 3 (335 enodes) 274.477 * * [simplify]: Extracting #0: cost 1 inf + 0 274.477 * * [simplify]: Extracting #1: cost 19 inf + 0 274.477 * * [simplify]: Extracting #2: cost 123 inf + 0 274.478 * * [simplify]: Extracting #3: cost 213 inf + 528 274.480 * * [simplify]: Extracting #4: cost 198 inf + 3514 274.481 * * [simplify]: Extracting #5: cost 181 inf + 7224 274.496 * * [simplify]: Extracting #6: cost 101 inf + 35521 274.528 * * [simplify]: Extracting #7: cost 10 inf + 75319 274.565 * * [simplify]: Extracting #8: cost 0 inf + 79219 274.603 * * [simplify]: Extracting #9: cost 0 inf + 79194 274.623 * [simplify]: Simplified to (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (cbrt 1/2) (cbrt 1/2)) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 274.623 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (cbrt 1/2) (cbrt 1/2)) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))))) 274.623 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1))) 274.623 * * [simplify]: iters left: 6 (18 enodes) 274.628 * * [simplify]: iters left: 5 (71 enodes) 274.651 * * [simplify]: iters left: 4 (130 enodes) 274.685 * * [simplify]: iters left: 3 (341 enodes) 274.874 * * [simplify]: Extracting #0: cost 1 inf + 0 274.874 * * [simplify]: Extracting #1: cost 0 inf + 1 274.874 * [simplify]: Simplified to 0 274.874 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 0))) 274.875 * * * * [progress]: [ 360 / 2246 ] simplifiying candidate # 274.875 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) 274.875 * * [simplify]: iters left: 6 (22 enodes) 274.887 * * [simplify]: iters left: 5 (88 enodes) 274.906 * * [simplify]: iters left: 4 (153 enodes) 274.949 * * [simplify]: iters left: 3 (336 enodes) 275.099 * * [simplify]: Extracting #0: cost 1 inf + 0 275.099 * * [simplify]: Extracting #1: cost 19 inf + 0 275.100 * * [simplify]: Extracting #2: cost 131 inf + 0 275.101 * * [simplify]: Extracting #3: cost 223 inf + 447 275.103 * * [simplify]: Extracting #4: cost 211 inf + 2788 275.106 * * [simplify]: Extracting #5: cost 198 inf + 5651 275.115 * * [simplify]: Extracting #6: cost 133 inf + 25597 275.141 * * [simplify]: Extracting #7: cost 39 inf + 65854 275.160 * * [simplify]: Extracting #8: cost 0 inf + 83856 275.194 * * [simplify]: Extracting #9: cost 0 inf + 83806 275.231 * [simplify]: Simplified to (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (cbrt 1/2) (cbrt 1/2)) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 275.231 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (cbrt 1/2) (cbrt 1/2)) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))))) 275.232 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)))) 275.233 * * [simplify]: iters left: 6 (19 enodes) 275.243 * * [simplify]: iters left: 5 (76 enodes) 275.268 * * [simplify]: iters left: 4 (115 enodes) 275.315 * * [simplify]: iters left: 3 (283 enodes) 275.497 * * [simplify]: Extracting #0: cost 1 inf + 0 275.497 * * [simplify]: Extracting #1: cost 28 inf + 0 275.498 * * [simplify]: Extracting #2: cost 102 inf + 1 275.498 * * [simplify]: Extracting #3: cost 142 inf + 691 275.499 * * [simplify]: Extracting #4: cost 131 inf + 3683 275.501 * * [simplify]: Extracting #5: cost 102 inf + 11388 275.505 * * [simplify]: Extracting #6: cost 97 inf + 12896 275.514 * * [simplify]: Extracting #7: cost 45 inf + 33427 275.530 * * [simplify]: Extracting #8: cost 0 inf + 53907 275.546 * * [simplify]: Extracting #9: cost 0 inf + 53757 275.575 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 275.575 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 275.575 * * * * [progress]: [ 361 / 2246 ] simplifiying candidate # 275.576 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) 275.576 * * [simplify]: iters left: 6 (22 enodes) 275.590 * * [simplify]: iters left: 5 (88 enodes) 275.618 * * [simplify]: iters left: 4 (153 enodes) 275.680 * * [simplify]: iters left: 3 (336 enodes) 275.843 * * [simplify]: Extracting #0: cost 1 inf + 0 275.843 * * [simplify]: Extracting #1: cost 19 inf + 0 275.843 * * [simplify]: Extracting #2: cost 131 inf + 0 275.844 * * [simplify]: Extracting #3: cost 223 inf + 447 275.848 * * [simplify]: Extracting #4: cost 211 inf + 2788 275.850 * * [simplify]: Extracting #5: cost 198 inf + 5651 275.854 * * [simplify]: Extracting #6: cost 133 inf + 25597 275.868 * * [simplify]: Extracting #7: cost 39 inf + 65854 275.897 * * [simplify]: Extracting #8: cost 0 inf + 83856 275.919 * * [simplify]: Extracting #9: cost 0 inf + 83806 275.942 * [simplify]: Simplified to (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (cbrt 1/2) (cbrt 1/2)) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 275.942 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (cbrt 1/2) (cbrt 1/2)) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))))) 275.943 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)))) 275.943 * * [simplify]: iters left: 6 (19 enodes) 275.951 * * [simplify]: iters left: 5 (76 enodes) 275.965 * * [simplify]: iters left: 4 (115 enodes) 275.996 * * [simplify]: iters left: 3 (283 enodes) 276.146 * * [simplify]: Extracting #0: cost 1 inf + 0 276.146 * * [simplify]: Extracting #1: cost 28 inf + 0 276.147 * * [simplify]: Extracting #2: cost 102 inf + 1 276.148 * * [simplify]: Extracting #3: cost 142 inf + 691 276.150 * * [simplify]: Extracting #4: cost 131 inf + 3683 276.154 * * [simplify]: Extracting #5: cost 102 inf + 11388 276.160 * * [simplify]: Extracting #6: cost 97 inf + 12896 276.174 * * [simplify]: Extracting #7: cost 45 inf + 33427 276.201 * * [simplify]: Extracting #8: cost 0 inf + 53907 276.220 * * [simplify]: Extracting #9: cost 0 inf + 53757 276.234 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 276.234 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 276.235 * * * * [progress]: [ 362 / 2246 ] simplifiying candidate # 276.235 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 276.235 * * [simplify]: iters left: 6 (20 enodes) 276.240 * * [simplify]: iters left: 5 (79 enodes) 276.258 * * [simplify]: iters left: 4 (153 enodes) 276.316 * * [simplify]: iters left: 3 (335 enodes) 276.464 * * [simplify]: Extracting #0: cost 1 inf + 0 276.465 * * [simplify]: Extracting #1: cost 19 inf + 0 276.465 * * [simplify]: Extracting #2: cost 123 inf + 0 276.466 * * [simplify]: Extracting #3: cost 213 inf + 528 276.467 * * [simplify]: Extracting #4: cost 198 inf + 3514 276.470 * * [simplify]: Extracting #5: cost 181 inf + 7224 276.481 * * [simplify]: Extracting #6: cost 101 inf + 35521 276.519 * * [simplify]: Extracting #7: cost 10 inf + 75319 276.557 * * [simplify]: Extracting #8: cost 0 inf + 79219 276.595 * * [simplify]: Extracting #9: cost 0 inf + 79194 276.631 * [simplify]: Simplified to (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (cbrt 1/2) (cbrt 1/2)) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 276.631 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (cbrt 1/2) (cbrt 1/2)) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))))) 276.632 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1))) 276.632 * * [simplify]: iters left: 6 (18 enodes) 276.640 * * [simplify]: iters left: 5 (71 enodes) 276.666 * * [simplify]: iters left: 4 (130 enodes) 276.727 * * [simplify]: iters left: 3 (341 enodes) 276.947 * * [simplify]: Extracting #0: cost 1 inf + 0 276.947 * * [simplify]: Extracting #1: cost 0 inf + 1 276.947 * [simplify]: Simplified to 0 276.947 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 0))) 276.948 * * * * [progress]: [ 363 / 2246 ] simplifiying candidate # 276.948 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 276.948 * * [simplify]: iters left: 6 (20 enodes) 276.954 * * [simplify]: iters left: 5 (81 enodes) 276.974 * * [simplify]: iters left: 4 (187 enodes) 277.071 * * [simplify]: Extracting #0: cost 1 inf + 0 277.071 * * [simplify]: Extracting #1: cost 13 inf + 0 277.072 * * [simplify]: Extracting #2: cost 98 inf + 0 277.073 * * [simplify]: Extracting #3: cost 155 inf + 285 277.074 * * [simplify]: Extracting #4: cost 144 inf + 1876 277.076 * * [simplify]: Extracting #5: cost 129 inf + 5355 277.078 * * [simplify]: Extracting #6: cost 128 inf + 5751 277.081 * * [simplify]: Extracting #7: cost 124 inf + 6303 277.090 * * [simplify]: Extracting #8: cost 68 inf + 31351 277.120 * * [simplify]: Extracting #9: cost 4 inf + 64903 277.150 * * [simplify]: Extracting #10: cost 0 inf + 66255 277.179 * * [simplify]: Extracting #11: cost 0 inf + 66175 277.198 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (hypot 1 x))) 277.199 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (hypot 1 x))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 277.199 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 277.199 * * [simplify]: iters left: 6 (19 enodes) 277.205 * * [simplify]: iters left: 5 (76 enodes) 277.219 * * [simplify]: iters left: 4 (163 enodes) 277.280 * * [simplify]: iters left: 3 (466 enodes) 277.570 * * [simplify]: Extracting #0: cost 1 inf + 0 277.570 * * [simplify]: Extracting #1: cost 0 inf + 1 277.570 * [simplify]: Simplified to 0 277.570 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 277.571 * * * * [progress]: [ 364 / 2246 ] simplifiying candidate # 277.571 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 277.572 * * [simplify]: iters left: 6 (19 enodes) 277.582 * * [simplify]: iters left: 5 (76 enodes) 277.599 * * [simplify]: iters left: 4 (154 enodes) 277.662 * * [simplify]: iters left: 3 (390 enodes) 277.855 * * [simplify]: Extracting #0: cost 1 inf + 0 277.855 * * [simplify]: Extracting #1: cost 17 inf + 0 277.855 * * [simplify]: Extracting #2: cost 124 inf + 0 277.856 * * [simplify]: Extracting #3: cost 214 inf + 811 277.858 * * [simplify]: Extracting #4: cost 189 inf + 5321 277.864 * * [simplify]: Extracting #5: cost 134 inf + 22499 277.896 * * [simplify]: Extracting #6: cost 31 inf + 65634 277.917 * * [simplify]: Extracting #7: cost 0 inf + 79990 277.952 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 277.952 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 277.953 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 277.953 * * [simplify]: iters left: 6 (18 enodes) 277.963 * * [simplify]: iters left: 5 (71 enodes) 277.988 * * [simplify]: iters left: 4 (132 enodes) 278.050 * * [simplify]: iters left: 3 (327 enodes) 278.291 * * [simplify]: Extracting #0: cost 1 inf + 0 278.291 * * [simplify]: Extracting #1: cost 0 inf + 1 278.291 * [simplify]: Simplified to 0 278.291 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 278.291 * * * * [progress]: [ 365 / 2246 ] simplifiying candidate # 278.292 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 278.292 * * [simplify]: iters left: 6 (18 enodes) 278.296 * * [simplify]: iters left: 5 (68 enodes) 278.309 * * [simplify]: iters left: 4 (141 enodes) 278.368 * * [simplify]: iters left: 3 (327 enodes) 278.532 * * [simplify]: Extracting #0: cost 1 inf + 0 278.532 * * [simplify]: Extracting #1: cost 24 inf + 0 278.533 * * [simplify]: Extracting #2: cost 107 inf + 1 278.533 * * [simplify]: Extracting #3: cost 132 inf + 851 278.534 * * [simplify]: Extracting #4: cost 114 inf + 4392 278.536 * * [simplify]: Extracting #5: cost 90 inf + 9762 278.543 * * [simplify]: Extracting #6: cost 31 inf + 31827 278.554 * * [simplify]: Extracting #7: cost 1 inf + 43543 278.565 * * [simplify]: Extracting #8: cost 0 inf + 43941 278.577 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 278.577 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))))) 278.578 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1))) 278.578 * * [simplify]: iters left: 6 (17 enodes) 278.583 * * [simplify]: iters left: 5 (62 enodes) 278.595 * * [simplify]: iters left: 4 (117 enodes) 278.645 * * [simplify]: iters left: 3 (259 enodes) 278.767 * * [simplify]: Extracting #0: cost 1 inf + 0 278.767 * * [simplify]: Extracting #1: cost 0 inf + 1 278.767 * [simplify]: Simplified to 0 278.767 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 0))) 278.767 * * * * [progress]: [ 366 / 2246 ] simplifiying candidate # 278.768 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 278.768 * * [simplify]: iters left: 6 (20 enodes) 278.774 * * [simplify]: iters left: 5 (80 enodes) 278.787 * * [simplify]: iters left: 4 (150 enodes) 278.821 * * [simplify]: iters left: 3 (339 enodes) 279.018 * * [simplify]: Extracting #0: cost 1 inf + 0 279.018 * * [simplify]: Extracting #1: cost 25 inf + 0 279.019 * * [simplify]: Extracting #2: cost 129 inf + 1 279.019 * * [simplify]: Extracting #3: cost 157 inf + 1176 279.020 * * [simplify]: Extracting #4: cost 144 inf + 3688 279.022 * * [simplify]: Extracting #5: cost 116 inf + 9359 279.025 * * [simplify]: Extracting #6: cost 109 inf + 10725 279.029 * * [simplify]: Extracting #7: cost 77 inf + 22027 279.041 * * [simplify]: Extracting #8: cost 6 inf + 51178 279.065 * * [simplify]: Extracting #9: cost 0 inf + 53721 279.090 * * [simplify]: Extracting #10: cost 0 inf + 53696 279.103 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 279.103 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))))) 279.104 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)))) 279.104 * * [simplify]: iters left: 6 (18 enodes) 279.110 * * [simplify]: iters left: 5 (71 enodes) 279.126 * * [simplify]: iters left: 4 (123 enodes) 279.166 * * [simplify]: iters left: 3 (278 enodes) 279.320 * * [simplify]: Extracting #0: cost 1 inf + 0 279.320 * * [simplify]: Extracting #1: cost 0 inf + 1 279.320 * [simplify]: Simplified to 0 279.320 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 0))) 279.320 * * * * [progress]: [ 367 / 2246 ] simplifiying candidate # 279.321 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 279.321 * * [simplify]: iters left: 6 (20 enodes) 279.328 * * [simplify]: iters left: 5 (80 enodes) 279.344 * * [simplify]: iters left: 4 (150 enodes) 279.401 * * [simplify]: iters left: 3 (339 enodes) 279.552 * * [simplify]: Extracting #0: cost 1 inf + 0 279.552 * * [simplify]: Extracting #1: cost 25 inf + 0 279.552 * * [simplify]: Extracting #2: cost 129 inf + 1 279.553 * * [simplify]: Extracting #3: cost 157 inf + 1176 279.554 * * [simplify]: Extracting #4: cost 144 inf + 3688 279.557 * * [simplify]: Extracting #5: cost 116 inf + 9359 279.559 * * [simplify]: Extracting #6: cost 109 inf + 10725 279.563 * * [simplify]: Extracting #7: cost 77 inf + 22027 279.587 * * [simplify]: Extracting #8: cost 6 inf + 51178 279.614 * * [simplify]: Extracting #9: cost 0 inf + 53721 279.644 * * [simplify]: Extracting #10: cost 0 inf + 53696 279.671 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 279.671 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))))) 279.672 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)))) 279.672 * * [simplify]: iters left: 6 (18 enodes) 279.682 * * [simplify]: iters left: 5 (71 enodes) 279.693 * * [simplify]: iters left: 4 (123 enodes) 279.725 * * [simplify]: iters left: 3 (278 enodes) 279.829 * * [simplify]: Extracting #0: cost 1 inf + 0 279.829 * * [simplify]: Extracting #1: cost 0 inf + 1 279.829 * [simplify]: Simplified to 0 279.829 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 0))) 279.830 * * * * [progress]: [ 368 / 2246 ] simplifiying candidate # 279.830 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 279.830 * * [simplify]: iters left: 6 (18 enodes) 279.839 * * [simplify]: iters left: 5 (68 enodes) 279.863 * * [simplify]: iters left: 4 (141 enodes) 279.923 * * [simplify]: iters left: 3 (327 enodes) 280.124 * * [simplify]: Extracting #0: cost 1 inf + 0 280.124 * * [simplify]: Extracting #1: cost 24 inf + 0 280.125 * * [simplify]: Extracting #2: cost 107 inf + 1 280.126 * * [simplify]: Extracting #3: cost 132 inf + 851 280.128 * * [simplify]: Extracting #4: cost 114 inf + 4392 280.135 * * [simplify]: Extracting #5: cost 90 inf + 9762 280.148 * * [simplify]: Extracting #6: cost 31 inf + 31827 280.170 * * [simplify]: Extracting #7: cost 1 inf + 43543 280.194 * * [simplify]: Extracting #8: cost 0 inf + 43941 280.216 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 280.217 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))))) 280.217 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1))) 280.218 * * [simplify]: iters left: 6 (17 enodes) 280.227 * * [simplify]: iters left: 5 (62 enodes) 280.249 * * [simplify]: iters left: 4 (117 enodes) 280.290 * * [simplify]: iters left: 3 (259 enodes) 280.391 * * [simplify]: Extracting #0: cost 1 inf + 0 280.391 * * [simplify]: Extracting #1: cost 0 inf + 1 280.391 * [simplify]: Simplified to 0 280.391 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 0))) 280.392 * * * * [progress]: [ 369 / 2246 ] simplifiying candidate # 280.392 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 280.393 * * [simplify]: iters left: 6 (24 enodes) 280.404 * * [simplify]: iters left: 5 (94 enodes) 280.437 * * [simplify]: iters left: 4 (205 enodes) 280.510 * * [simplify]: Extracting #0: cost 1 inf + 0 280.510 * * [simplify]: Extracting #1: cost 13 inf + 0 280.511 * * [simplify]: Extracting #2: cost 120 inf + 0 280.511 * * [simplify]: Extracting #3: cost 200 inf + 569 280.512 * * [simplify]: Extracting #4: cost 200 inf + 1014 280.513 * * [simplify]: Extracting #5: cost 184 inf + 3855 280.515 * * [simplify]: Extracting #6: cost 162 inf + 9650 280.518 * * [simplify]: Extracting #7: cost 136 inf + 19878 280.536 * * [simplify]: Extracting #8: cost 32 inf + 77310 280.576 * * [simplify]: Extracting #9: cost 0 inf + 95846 280.616 * * [simplify]: Extracting #10: cost 0 inf + 94886 280.658 * * [simplify]: Extracting #11: cost 0 inf + 94686 280.698 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (* (sqrt 1/2) (sqrt 1/2)) (* (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 280.698 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (* (sqrt 1/2) (sqrt 1/2)) (* (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 280.699 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 280.699 * * [simplify]: iters left: 6 (20 enodes) 280.710 * * [simplify]: iters left: 5 (80 enodes) 280.739 * * [simplify]: iters left: 4 (163 enodes) 280.817 * * [simplify]: iters left: 3 (493 enodes) 281.168 * * [simplify]: Extracting #0: cost 1 inf + 0 281.168 * * [simplify]: Extracting #1: cost 0 inf + 1 281.169 * [simplify]: Simplified to 0 281.169 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 281.170 * * * * [progress]: [ 370 / 2246 ] simplifiying candidate # 281.171 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 281.171 * * [simplify]: iters left: 6 (23 enodes) 281.183 * * [simplify]: iters left: 5 (89 enodes) 281.215 * * [simplify]: iters left: 4 (174 enodes) 281.285 * * [simplify]: iters left: 3 (432 enodes) 281.479 * * [simplify]: Extracting #0: cost 1 inf + 0 281.479 * * [simplify]: Extracting #1: cost 13 inf + 0 281.479 * * [simplify]: Extracting #2: cost 123 inf + 0 281.480 * * [simplify]: Extracting #3: cost 220 inf + 408 281.481 * * [simplify]: Extracting #4: cost 219 inf + 1178 281.486 * * [simplify]: Extracting #5: cost 200 inf + 4865 281.490 * * [simplify]: Extracting #6: cost 149 inf + 21897 281.514 * * [simplify]: Extracting #7: cost 35 inf + 73373 281.558 * * [simplify]: Extracting #8: cost 1 inf + 89908 281.591 * * [simplify]: Extracting #9: cost 0 inf + 90406 281.617 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ -1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 281.617 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ -1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 281.617 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 281.618 * * [simplify]: iters left: 6 (19 enodes) 281.630 * * [simplify]: iters left: 5 (75 enodes) 281.655 * * [simplify]: iters left: 4 (134 enodes) 281.706 * * [simplify]: iters left: 3 (346 enodes) 281.867 * * [simplify]: Extracting #0: cost 1 inf + 0 281.867 * * [simplify]: Extracting #1: cost 0 inf + 1 281.867 * [simplify]: Simplified to 0 281.868 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 281.868 * * * * [progress]: [ 371 / 2246 ] simplifiying candidate # 281.868 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 281.869 * * [simplify]: iters left: 6 (22 enodes) 281.881 * * [simplify]: iters left: 5 (84 enodes) 281.897 * * [simplify]: iters left: 4 (165 enodes) 281.944 * * [simplify]: iters left: 3 (395 enodes) 282.112 * * [simplify]: Extracting #0: cost 1 inf + 0 282.112 * * [simplify]: Extracting #1: cost 13 inf + 0 282.113 * * [simplify]: Extracting #2: cost 98 inf + 0 282.114 * * [simplify]: Extracting #3: cost 169 inf + 690 282.116 * * [simplify]: Extracting #4: cost 163 inf + 1746 282.119 * * [simplify]: Extracting #5: cost 162 inf + 1886 282.124 * * [simplify]: Extracting #6: cost 122 inf + 13596 282.136 * * [simplify]: Extracting #7: cost 27 inf + 49239 282.152 * * [simplify]: Extracting #8: cost 0 inf + 59872 282.170 * * [simplify]: Extracting #9: cost 0 inf + 59797 282.188 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 282.188 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 282.189 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 282.189 * * [simplify]: iters left: 6 (18 enodes) 282.197 * * [simplify]: iters left: 5 (70 enodes) 282.218 * * [simplify]: iters left: 4 (126 enodes) 282.246 * * [simplify]: iters left: 3 (322 enodes) 282.358 * * [simplify]: Extracting #0: cost 1 inf + 0 282.358 * * [simplify]: Extracting #1: cost 0 inf + 1 282.358 * [simplify]: Simplified to 0 282.358 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 282.358 * * * * [progress]: [ 372 / 2246 ] simplifiying candidate # 282.358 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 282.359 * * [simplify]: iters left: 6 (24 enodes) 282.367 * * [simplify]: iters left: 5 (93 enodes) 282.398 * * [simplify]: iters left: 4 (154 enodes) 282.444 * * [simplify]: iters left: 3 (345 enodes) 282.583 * * [simplify]: Extracting #0: cost 1 inf + 0 282.583 * * [simplify]: Extracting #1: cost 17 inf + 0 282.583 * * [simplify]: Extracting #2: cost 110 inf + 0 282.585 * * [simplify]: Extracting #3: cost 172 inf + 569 282.587 * * [simplify]: Extracting #4: cost 165 inf + 1865 282.589 * * [simplify]: Extracting #5: cost 148 inf + 5783 282.594 * * [simplify]: Extracting #6: cost 120 inf + 13384 282.606 * * [simplify]: Extracting #7: cost 95 inf + 21674 282.621 * * [simplify]: Extracting #8: cost 10 inf + 57869 282.636 * * [simplify]: Extracting #9: cost 0 inf + 61784 282.658 * * [simplify]: Extracting #10: cost 0 inf + 61734 282.673 * [simplify]: Simplified to (- (/ (cbrt 1/2) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (hypot 1 x)))) 282.673 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (cbrt 1/2) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (hypot 1 x)))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 282.674 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 282.674 * * [simplify]: iters left: 6 (19 enodes) 282.680 * * [simplify]: iters left: 5 (75 enodes) 282.701 * * [simplify]: iters left: 4 (111 enodes) 282.723 * * [simplify]: iters left: 3 (244 enodes) 282.856 * * [simplify]: Extracting #0: cost 1 inf + 0 282.856 * * [simplify]: Extracting #1: cost 18 inf + 0 282.856 * * [simplify]: Extracting #2: cost 75 inf + 1 282.857 * * [simplify]: Extracting #3: cost 123 inf + 1 282.858 * * [simplify]: Extracting #4: cost 115 inf + 1708 282.862 * * [simplify]: Extracting #5: cost 83 inf + 10385 282.868 * * [simplify]: Extracting #6: cost 78 inf + 11373 282.881 * * [simplify]: Extracting #7: cost 25 inf + 31967 282.898 * * [simplify]: Extracting #8: cost 0 inf + 41997 282.909 * * [simplify]: Extracting #9: cost 0 inf + 41872 282.919 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 282.919 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))))))) 282.919 * * * * [progress]: [ 373 / 2246 ] simplifiying candidate # 282.920 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 282.920 * * [simplify]: iters left: 6 (24 enodes) 282.927 * * [simplify]: iters left: 5 (93 enodes) 282.958 * * [simplify]: iters left: 4 (154 enodes) 282.994 * * [simplify]: iters left: 3 (345 enodes) 283.206 * * [simplify]: Extracting #0: cost 1 inf + 0 283.206 * * [simplify]: Extracting #1: cost 17 inf + 0 283.207 * * [simplify]: Extracting #2: cost 110 inf + 0 283.208 * * [simplify]: Extracting #3: cost 172 inf + 569 283.210 * * [simplify]: Extracting #4: cost 165 inf + 1865 283.213 * * [simplify]: Extracting #5: cost 148 inf + 5783 283.218 * * [simplify]: Extracting #6: cost 120 inf + 13384 283.226 * * [simplify]: Extracting #7: cost 95 inf + 21674 283.250 * * [simplify]: Extracting #8: cost 10 inf + 57869 283.278 * * [simplify]: Extracting #9: cost 0 inf + 61784 283.307 * * [simplify]: Extracting #10: cost 0 inf + 61734 283.341 * [simplify]: Simplified to (- (/ (cbrt 1/2) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (hypot 1 x)))) 283.341 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (cbrt 1/2) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (hypot 1 x)))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 283.342 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 283.342 * * [simplify]: iters left: 6 (19 enodes) 283.353 * * [simplify]: iters left: 5 (75 enodes) 283.378 * * [simplify]: iters left: 4 (111 enodes) 283.402 * * [simplify]: iters left: 3 (244 enodes) 283.503 * * [simplify]: Extracting #0: cost 1 inf + 0 283.503 * * [simplify]: Extracting #1: cost 18 inf + 0 283.503 * * [simplify]: Extracting #2: cost 75 inf + 1 283.503 * * [simplify]: Extracting #3: cost 123 inf + 1 283.504 * * [simplify]: Extracting #4: cost 115 inf + 1708 283.506 * * [simplify]: Extracting #5: cost 83 inf + 10385 283.508 * * [simplify]: Extracting #6: cost 78 inf + 11373 283.521 * * [simplify]: Extracting #7: cost 25 inf + 31967 283.541 * * [simplify]: Extracting #8: cost 0 inf + 41997 283.566 * * [simplify]: Extracting #9: cost 0 inf + 41872 283.587 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 283.587 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))))))) 283.587 * * * * [progress]: [ 374 / 2246 ] simplifiying candidate # 283.587 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 283.588 * * [simplify]: iters left: 6 (22 enodes) 283.594 * * [simplify]: iters left: 5 (84 enodes) 283.610 * * [simplify]: iters left: 4 (165 enodes) 283.656 * * [simplify]: iters left: 3 (395 enodes) 283.834 * * [simplify]: Extracting #0: cost 1 inf + 0 283.834 * * [simplify]: Extracting #1: cost 13 inf + 0 283.834 * * [simplify]: Extracting #2: cost 98 inf + 0 283.835 * * [simplify]: Extracting #3: cost 169 inf + 690 283.836 * * [simplify]: Extracting #4: cost 163 inf + 1746 283.837 * * [simplify]: Extracting #5: cost 162 inf + 1886 283.839 * * [simplify]: Extracting #6: cost 122 inf + 13596 283.852 * * [simplify]: Extracting #7: cost 27 inf + 49239 283.873 * * [simplify]: Extracting #8: cost 0 inf + 59872 283.889 * * [simplify]: Extracting #9: cost 0 inf + 59797 283.914 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 283.914 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 283.915 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 283.915 * * [simplify]: iters left: 6 (18 enodes) 283.924 * * [simplify]: iters left: 5 (70 enodes) 283.947 * * [simplify]: iters left: 4 (126 enodes) 283.977 * * [simplify]: iters left: 3 (322 enodes) 284.121 * * [simplify]: Extracting #0: cost 1 inf + 0 284.121 * * [simplify]: Extracting #1: cost 0 inf + 1 284.121 * [simplify]: Simplified to 0 284.121 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 284.121 * * * * [progress]: [ 375 / 2246 ] simplifiying candidate # 284.121 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 284.122 * * [simplify]: iters left: 6 (22 enodes) 284.127 * * [simplify]: iters left: 5 (86 enodes) 284.157 * * [simplify]: iters left: 4 (179 enodes) 284.194 * * [simplify]: iters left: 3 (423 enodes) 284.375 * * [simplify]: Extracting #0: cost 1 inf + 0 284.375 * * [simplify]: Extracting #1: cost 13 inf + 0 284.376 * * [simplify]: Extracting #2: cost 114 inf + 0 284.382 * * [simplify]: Extracting #3: cost 219 inf + 367 284.384 * * [simplify]: Extracting #4: cost 217 inf + 1219 284.386 * * [simplify]: Extracting #5: cost 206 inf + 2901 284.390 * * [simplify]: Extracting #6: cost 188 inf + 6282 284.397 * * [simplify]: Extracting #7: cost 157 inf + 18763 284.435 * * [simplify]: Extracting #8: cost 34 inf + 77346 284.486 * * [simplify]: Extracting #9: cost 0 inf + 94855 284.519 * * [simplify]: Extracting #10: cost 0 inf + 94631 284.554 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (* (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 284.554 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (* (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 284.555 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 284.555 * * [simplify]: iters left: 6 (18 enodes) 284.560 * * [simplify]: iters left: 5 (72 enodes) 284.577 * * [simplify]: iters left: 4 (139 enodes) 284.617 * * [simplify]: iters left: 3 (344 enodes) 284.787 * * [simplify]: Extracting #0: cost 1 inf + 0 284.787 * * [simplify]: Extracting #1: cost 0 inf + 1 284.787 * [simplify]: Simplified to 0 284.787 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 284.787 * * * * [progress]: [ 376 / 2246 ] simplifiying candidate # 284.788 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 284.788 * * [simplify]: iters left: 6 (20 enodes) 284.797 * * [simplify]: iters left: 5 (75 enodes) 284.810 * * [simplify]: iters left: 4 (137 enodes) 284.847 * * [simplify]: iters left: 3 (294 enodes) 284.947 * * [simplify]: Extracting #0: cost 1 inf + 0 284.947 * * [simplify]: Extracting #1: cost 11 inf + 0 284.947 * * [simplify]: Extracting #2: cost 84 inf + 0 284.948 * * [simplify]: Extracting #3: cost 150 inf + 84 284.949 * * [simplify]: Extracting #4: cost 147 inf + 815 284.950 * * [simplify]: Extracting #5: cost 142 inf + 1600 284.952 * * [simplify]: Extracting #6: cost 129 inf + 3848 284.955 * * [simplify]: Extracting #7: cost 114 inf + 6518 284.964 * * [simplify]: Extracting #8: cost 51 inf + 30097 284.985 * * [simplify]: Extracting #9: cost 4 inf + 50259 285.007 * * [simplify]: Extracting #10: cost 0 inf + 52131 285.030 * [simplify]: Simplified to (fma (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 285.030 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 285.031 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 285.031 * * [simplify]: iters left: 6 (16 enodes) 285.038 * * [simplify]: iters left: 5 (62 enodes) 285.056 * * [simplify]: iters left: 4 (105 enodes) 285.088 * * [simplify]: iters left: 3 (234 enodes) 285.151 * * [simplify]: Extracting #0: cost 1 inf + 0 285.151 * * [simplify]: Extracting #1: cost 0 inf + 1 285.151 * [simplify]: Simplified to 0 285.151 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 285.151 * * * * [progress]: [ 377 / 2246 ] simplifiying candidate # 285.152 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 285.152 * * [simplify]: iters left: 6 (20 enodes) 285.163 * * [simplify]: iters left: 5 (77 enodes) 285.187 * * [simplify]: iters left: 4 (149 enodes) 285.227 * * [simplify]: iters left: 3 (318 enodes) 285.360 * * [simplify]: Extracting #0: cost 1 inf + 0 285.360 * * [simplify]: Extracting #1: cost 13 inf + 0 285.360 * * [simplify]: Extracting #2: cost 79 inf + 0 285.360 * * [simplify]: Extracting #3: cost 130 inf + 206 285.361 * * [simplify]: Extracting #4: cost 122 inf + 1503 285.362 * * [simplify]: Extracting #5: cost 119 inf + 1886 285.363 * * [simplify]: Extracting #6: cost 100 inf + 5322 285.368 * * [simplify]: Extracting #7: cost 37 inf + 25385 285.379 * * [simplify]: Extracting #8: cost 2 inf + 38272 285.395 * * [simplify]: Extracting #9: cost 0 inf + 39159 285.405 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (hypot 1 x)))) 285.405 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (hypot 1 x)))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))))) 285.406 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1))) 285.406 * * [simplify]: iters left: 6 (16 enodes) 285.410 * * [simplify]: iters left: 5 (63 enodes) 285.424 * * [simplify]: iters left: 4 (113 enodes) 285.469 * * [simplify]: iters left: 3 (256 enodes) 285.566 * * [simplify]: Extracting #0: cost 1 inf + 0 285.566 * * [simplify]: Extracting #1: cost 0 inf + 1 285.566 * [simplify]: Simplified to 0 285.566 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 0))) 285.566 * * * * [progress]: [ 378 / 2246 ] simplifiying candidate # 285.567 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 285.567 * * [simplify]: iters left: 6 (22 enodes) 285.579 * * [simplify]: iters left: 5 (86 enodes) 285.607 * * [simplify]: iters left: 4 (143 enodes) 285.643 * * [simplify]: iters left: 3 (305 enodes) 285.767 * * [simplify]: Extracting #0: cost 1 inf + 0 285.767 * * [simplify]: Extracting #1: cost 15 inf + 0 285.767 * * [simplify]: Extracting #2: cost 81 inf + 0 285.768 * * [simplify]: Extracting #3: cost 126 inf + 83 285.769 * * [simplify]: Extracting #4: cost 117 inf + 1583 285.771 * * [simplify]: Extracting #5: cost 115 inf + 1923 285.772 * * [simplify]: Extracting #6: cost 103 inf + 4074 285.775 * * [simplify]: Extracting #7: cost 60 inf + 15997 285.782 * * [simplify]: Extracting #8: cost 10 inf + 34522 285.792 * * [simplify]: Extracting #9: cost 0 inf + 38657 285.804 * * [simplify]: Extracting #10: cost 0 inf + 38632 285.822 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt 1/2))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) 285.822 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt 1/2))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))))) 285.823 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)))) 285.823 * * [simplify]: iters left: 6 (17 enodes) 285.831 * * [simplify]: iters left: 5 (68 enodes) 285.843 * * [simplify]: iters left: 4 (101 enodes) 285.867 * * [simplify]: iters left: 3 (206 enodes) 285.961 * * [simplify]: iters left: 2 (407 enodes) 286.575 * * [simplify]: Extracting #0: cost 1 inf + 0 286.575 * * [simplify]: Extracting #1: cost 0 inf + 1 286.575 * [simplify]: Simplified to 0 286.575 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 286.576 * * * * [progress]: [ 379 / 2246 ] simplifiying candidate # 286.576 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 286.576 * * [simplify]: iters left: 6 (22 enodes) 286.590 * * [simplify]: iters left: 5 (86 enodes) 286.606 * * [simplify]: iters left: 4 (143 enodes) 286.637 * * [simplify]: iters left: 3 (305 enodes) 286.737 * * [simplify]: Extracting #0: cost 1 inf + 0 286.737 * * [simplify]: Extracting #1: cost 15 inf + 0 286.737 * * [simplify]: Extracting #2: cost 81 inf + 0 286.737 * * [simplify]: Extracting #3: cost 126 inf + 83 286.738 * * [simplify]: Extracting #4: cost 117 inf + 1583 286.739 * * [simplify]: Extracting #5: cost 115 inf + 1923 286.740 * * [simplify]: Extracting #6: cost 103 inf + 4074 286.745 * * [simplify]: Extracting #7: cost 60 inf + 15997 286.756 * * [simplify]: Extracting #8: cost 10 inf + 34522 286.775 * * [simplify]: Extracting #9: cost 0 inf + 38657 286.789 * * [simplify]: Extracting #10: cost 0 inf + 38632 286.799 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt 1/2))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) 286.799 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt 1/2))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))))) 286.799 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)))) 286.799 * * [simplify]: iters left: 6 (17 enodes) 286.804 * * [simplify]: iters left: 5 (68 enodes) 286.816 * * [simplify]: iters left: 4 (101 enodes) 286.852 * * [simplify]: iters left: 3 (206 enodes) 286.909 * * [simplify]: iters left: 2 (407 enodes) 287.117 * * [simplify]: Extracting #0: cost 1 inf + 0 287.117 * * [simplify]: Extracting #1: cost 0 inf + 1 287.117 * [simplify]: Simplified to 0 287.118 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 287.118 * * * * [progress]: [ 380 / 2246 ] simplifiying candidate # 287.118 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 287.119 * * [simplify]: iters left: 6 (20 enodes) 287.128 * * [simplify]: iters left: 5 (77 enodes) 287.146 * * [simplify]: iters left: 4 (149 enodes) 287.183 * * [simplify]: iters left: 3 (318 enodes) 287.315 * * [simplify]: Extracting #0: cost 1 inf + 0 287.315 * * [simplify]: Extracting #1: cost 13 inf + 0 287.315 * * [simplify]: Extracting #2: cost 79 inf + 0 287.316 * * [simplify]: Extracting #3: cost 130 inf + 206 287.316 * * [simplify]: Extracting #4: cost 122 inf + 1503 287.317 * * [simplify]: Extracting #5: cost 119 inf + 1886 287.318 * * [simplify]: Extracting #6: cost 100 inf + 5322 287.323 * * [simplify]: Extracting #7: cost 37 inf + 25385 287.333 * * [simplify]: Extracting #8: cost 2 inf + 38272 287.346 * * [simplify]: Extracting #9: cost 0 inf + 39159 287.357 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (hypot 1 x)))) 287.357 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (hypot 1 x)))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))))) 287.357 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1))) 287.357 * * [simplify]: iters left: 6 (16 enodes) 287.363 * * [simplify]: iters left: 5 (63 enodes) 287.378 * * [simplify]: iters left: 4 (113 enodes) 287.408 * * [simplify]: iters left: 3 (256 enodes) 287.532 * * [simplify]: Extracting #0: cost 1 inf + 0 287.532 * * [simplify]: Extracting #1: cost 0 inf + 1 287.532 * [simplify]: Simplified to 0 287.532 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 0))) 287.533 * * * * [progress]: [ 381 / 2246 ] simplifiying candidate # 287.533 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 287.534 * * [simplify]: iters left: 6 (22 enodes) 287.549 * * [simplify]: iters left: 5 (85 enodes) 287.581 * * [simplify]: iters left: 4 (175 enodes) 287.636 * * [simplify]: iters left: 3 (395 enodes) 287.797 * * [simplify]: Extracting #0: cost 1 inf + 0 287.797 * * [simplify]: Extracting #1: cost 13 inf + 0 287.797 * * [simplify]: Extracting #2: cost 98 inf + 0 287.798 * * [simplify]: Extracting #3: cost 158 inf + 528 287.799 * * [simplify]: Extracting #4: cost 145 inf + 1804 287.800 * * [simplify]: Extracting #5: cost 135 inf + 3321 287.801 * * [simplify]: Extracting #6: cost 131 inf + 3873 287.807 * * [simplify]: Extracting #7: cost 73 inf + 27546 287.833 * * [simplify]: Extracting #8: cost 5 inf + 57853 287.852 * * [simplify]: Extracting #9: cost 0 inf + 59597 287.884 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 287.884 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 287.885 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 287.885 * * [simplify]: iters left: 6 (18 enodes) 287.894 * * [simplify]: iters left: 5 (71 enodes) 287.909 * * [simplify]: iters left: 4 (135 enodes) 287.947 * * [simplify]: iters left: 3 (317 enodes) 288.090 * * [simplify]: Extracting #0: cost 1 inf + 0 288.090 * * [simplify]: Extracting #1: cost 0 inf + 1 288.090 * [simplify]: Simplified to 0 288.090 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 288.090 * * * * [progress]: [ 382 / 2246 ] simplifiying candidate # 288.091 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 288.091 * * [simplify]: iters left: 6 (21 enodes) 288.097 * * [simplify]: iters left: 5 (80 enodes) 288.116 * * [simplify]: iters left: 4 (149 enodes) 288.145 * * [simplify]: iters left: 3 (301 enodes) 288.253 * * [simplify]: Extracting #0: cost 1 inf + 0 288.253 * * [simplify]: Extracting #1: cost 13 inf + 0 288.254 * * [simplify]: Extracting #2: cost 76 inf + 0 288.255 * * [simplify]: Extracting #3: cost 117 inf + 84 288.256 * * [simplify]: Extracting #4: cost 107 inf + 955 288.257 * * [simplify]: Extracting #5: cost 91 inf + 3337 288.266 * * [simplify]: Extracting #6: cost 33 inf + 22010 288.283 * * [simplify]: Extracting #7: cost 4 inf + 32530 288.299 * * [simplify]: Extracting #8: cost 0 inf + 34121 288.309 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 288.309 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 288.309 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 288.310 * * [simplify]: iters left: 6 (17 enodes) 288.314 * * [simplify]: iters left: 5 (66 enodes) 288.326 * * [simplify]: iters left: 4 (111 enodes) 288.348 * * [simplify]: iters left: 3 (224 enodes) 288.419 * * [simplify]: iters left: 2 (415 enodes) 288.572 * * [simplify]: Extracting #0: cost 1 inf + 0 288.573 * * [simplify]: Extracting #1: cost 0 inf + 1 288.573 * [simplify]: Simplified to 0 288.573 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 288.573 * * * * [progress]: [ 383 / 2246 ] simplifiying candidate # 288.573 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 288.574 * * [simplify]: iters left: 6 (20 enodes) 288.584 * * [simplify]: iters left: 5 (71 enodes) 288.609 * * [simplify]: iters left: 4 (133 enodes) 288.656 * * [simplify]: iters left: 3 (236 enodes) 288.713 * * [simplify]: iters left: 2 (413 enodes) 288.891 * * [simplify]: Extracting #0: cost 1 inf + 0 288.891 * * [simplify]: Extracting #1: cost 13 inf + 0 288.891 * * [simplify]: Extracting #2: cost 56 inf + 0 288.892 * * [simplify]: Extracting #3: cost 91 inf + 206 288.893 * * [simplify]: Extracting #4: cost 76 inf + 2099 288.896 * * [simplify]: Extracting #5: cost 61 inf + 4498 288.903 * * [simplify]: Extracting #6: cost 15 inf + 18634 288.916 * * [simplify]: Extracting #7: cost 0 inf + 23525 288.930 * * [simplify]: Extracting #8: cost 0 inf + 23500 288.943 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 288.943 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))))) 288.944 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1))) 288.944 * * [simplify]: iters left: 6 (16 enodes) 288.953 * * [simplify]: iters left: 5 (58 enodes) 288.973 * * [simplify]: iters left: 4 (106 enodes) 288.995 * * [simplify]: iters left: 3 (186 enodes) 289.068 * * [simplify]: iters left: 2 (342 enodes) 289.196 * * [simplify]: iters left: 1 (486 enodes) 289.379 * * [simplify]: Extracting #0: cost 1 inf + 0 289.379 * * [simplify]: Extracting #1: cost 0 inf + 1 289.379 * [simplify]: Simplified to 0 289.379 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 289.380 * * * * [progress]: [ 384 / 2246 ] simplifiying candidate # 289.380 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 289.380 * * [simplify]: iters left: 6 (22 enodes) 289.397 * * [simplify]: iters left: 5 (84 enodes) 289.413 * * [simplify]: iters left: 4 (137 enodes) 289.436 * * [simplify]: iters left: 3 (244 enodes) 289.510 * * [simplify]: iters left: 2 (386 enodes) 289.649 * * [simplify]: Extracting #0: cost 1 inf + 0 289.649 * * [simplify]: Extracting #1: cost 13 inf + 0 289.649 * * [simplify]: Extracting #2: cost 58 inf + 0 289.649 * * [simplify]: Extracting #3: cost 87 inf + 84 289.650 * * [simplify]: Extracting #4: cost 73 inf + 1574 289.651 * * [simplify]: Extracting #5: cost 59 inf + 3778 289.653 * * [simplify]: Extracting #6: cost 31 inf + 11857 289.659 * * [simplify]: Extracting #7: cost 1 inf + 21575 289.667 * * [simplify]: Extracting #8: cost 0 inf + 21839 289.679 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 289.679 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))))) 289.680 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1)))) 289.680 * * [simplify]: iters left: 6 (17 enodes) 289.687 * * [simplify]: iters left: 5 (66 enodes) 289.704 * * [simplify]: iters left: 4 (101 enodes) 289.735 * * [simplify]: iters left: 3 (170 enodes) 289.767 * * [simplify]: iters left: 2 (266 enodes) 289.854 * * [simplify]: iters left: 1 (380 enodes) 289.987 * * [simplify]: Extracting #0: cost 1 inf + 0 289.987 * * [simplify]: Extracting #1: cost 0 inf + 1 289.987 * [simplify]: Simplified to 0 289.987 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 289.987 * * * * [progress]: [ 385 / 2246 ] simplifiying candidate # 289.988 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 289.988 * * [simplify]: iters left: 6 (22 enodes) 289.995 * * [simplify]: iters left: 5 (84 enodes) 290.009 * * [simplify]: iters left: 4 (137 enodes) 290.035 * * [simplify]: iters left: 3 (244 enodes) 290.117 * * [simplify]: iters left: 2 (386 enodes) 290.251 * * [simplify]: Extracting #0: cost 1 inf + 0 290.252 * * [simplify]: Extracting #1: cost 13 inf + 0 290.252 * * [simplify]: Extracting #2: cost 58 inf + 0 290.252 * * [simplify]: Extracting #3: cost 87 inf + 84 290.253 * * [simplify]: Extracting #4: cost 73 inf + 1574 290.254 * * [simplify]: Extracting #5: cost 59 inf + 3778 290.256 * * [simplify]: Extracting #6: cost 31 inf + 11857 290.261 * * [simplify]: Extracting #7: cost 1 inf + 21575 290.267 * * [simplify]: Extracting #8: cost 0 inf + 21839 290.274 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 290.274 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))))) 290.274 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1)))) 290.274 * * [simplify]: iters left: 6 (17 enodes) 290.282 * * [simplify]: iters left: 5 (66 enodes) 290.293 * * [simplify]: iters left: 4 (101 enodes) 290.323 * * [simplify]: iters left: 3 (170 enodes) 290.379 * * [simplify]: iters left: 2 (266 enodes) 290.449 * * [simplify]: iters left: 1 (380 enodes) 290.547 * * [simplify]: Extracting #0: cost 1 inf + 0 290.548 * * [simplify]: Extracting #1: cost 0 inf + 1 290.548 * [simplify]: Simplified to 0 290.548 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 290.548 * * * * [progress]: [ 386 / 2246 ] simplifiying candidate # 290.548 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 290.548 * * [simplify]: iters left: 6 (20 enodes) 290.554 * * [simplify]: iters left: 5 (71 enodes) 290.567 * * [simplify]: iters left: 4 (133 enodes) 290.592 * * [simplify]: iters left: 3 (236 enodes) 290.654 * * [simplify]: iters left: 2 (413 enodes) 290.788 * * [simplify]: Extracting #0: cost 1 inf + 0 290.788 * * [simplify]: Extracting #1: cost 13 inf + 0 290.789 * * [simplify]: Extracting #2: cost 56 inf + 0 290.789 * * [simplify]: Extracting #3: cost 91 inf + 206 290.790 * * [simplify]: Extracting #4: cost 76 inf + 2099 290.791 * * [simplify]: Extracting #5: cost 61 inf + 4498 290.795 * * [simplify]: Extracting #6: cost 15 inf + 18634 290.804 * * [simplify]: Extracting #7: cost 0 inf + 23525 290.813 * * [simplify]: Extracting #8: cost 0 inf + 23500 290.819 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 290.819 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))))) 290.820 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1))) 290.820 * * [simplify]: iters left: 6 (16 enodes) 290.824 * * [simplify]: iters left: 5 (58 enodes) 290.834 * * [simplify]: iters left: 4 (106 enodes) 290.867 * * [simplify]: iters left: 3 (186 enodes) 290.911 * * [simplify]: iters left: 2 (342 enodes) 291.058 * * [simplify]: iters left: 1 (486 enodes) 291.216 * * [simplify]: Extracting #0: cost 1 inf + 0 291.216 * * [simplify]: Extracting #1: cost 0 inf + 1 291.216 * [simplify]: Simplified to 0 291.216 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 291.216 * * * * [progress]: [ 387 / 2246 ] simplifiying candidate # 291.217 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 291.217 * * [simplify]: iters left: 6 (23 enodes) 291.228 * * [simplify]: iters left: 5 (92 enodes) 291.248 * * [simplify]: iters left: 4 (208 enodes) 291.307 * * [simplify]: Extracting #0: cost 1 inf + 0 291.307 * * [simplify]: Extracting #1: cost 13 inf + 0 291.308 * * [simplify]: Extracting #2: cost 113 inf + 0 291.309 * * [simplify]: Extracting #3: cost 181 inf + 409 291.310 * * [simplify]: Extracting #4: cost 180 inf + 1136 291.311 * * [simplify]: Extracting #5: cost 172 inf + 2694 291.316 * * [simplify]: Extracting #6: cost 125 inf + 17115 291.332 * * [simplify]: Extracting #7: cost 31 inf + 62109 291.349 * * [simplify]: Extracting #8: cost 0 inf + 78065 291.380 * * [simplify]: Extracting #9: cost 0 inf + 78064 291.412 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 291.412 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 291.413 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 291.413 * * [simplify]: iters left: 6 (19 enodes) 291.418 * * [simplify]: iters left: 5 (78 enodes) 291.432 * * [simplify]: iters left: 4 (164 enodes) 291.494 * * [simplify]: iters left: 3 (469 enodes) 291.925 * * [simplify]: Extracting #0: cost 1 inf + 0 291.925 * * [simplify]: Extracting #1: cost 0 inf + 1 291.925 * [simplify]: Simplified to 0 291.925 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 291.925 * * * * [progress]: [ 388 / 2246 ] simplifiying candidate # 291.926 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 291.926 * * [simplify]: iters left: 6 (22 enodes) 291.932 * * [simplify]: iters left: 5 (87 enodes) 291.959 * * [simplify]: iters left: 4 (178 enodes) 292.031 * * [simplify]: iters left: 3 (426 enodes) 292.329 * * [simplify]: Extracting #0: cost 1 inf + 0 292.329 * * [simplify]: Extracting #1: cost 13 inf + 0 292.330 * * [simplify]: Extracting #2: cost 143 inf + 0 292.332 * * [simplify]: Extracting #3: cost 253 inf + 490 292.335 * * [simplify]: Extracting #4: cost 251 inf + 1138 292.338 * * [simplify]: Extracting #5: cost 241 inf + 3074 292.348 * * [simplify]: Extracting #6: cost 170 inf + 24248 292.387 * * [simplify]: Extracting #7: cost 31 inf + 82899 292.444 * * [simplify]: Extracting #8: cost 0 inf + 97127 292.476 * [simplify]: Simplified to (fma (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ -1/2 (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))))) 292.477 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ -1/2 (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 292.477 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 292.477 * * [simplify]: iters left: 6 (18 enodes) 292.482 * * [simplify]: iters left: 5 (73 enodes) 292.495 * * [simplify]: iters left: 4 (136 enodes) 292.541 * * [simplify]: iters left: 3 (336 enodes) 292.767 * * [simplify]: Extracting #0: cost 1 inf + 0 292.768 * * [simplify]: Extracting #1: cost 0 inf + 1 292.768 * [simplify]: Simplified to 0 292.768 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 292.768 * * * * [progress]: [ 389 / 2246 ] simplifiying candidate # 292.768 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 292.768 * * [simplify]: iters left: 6 (21 enodes) 292.774 * * [simplify]: iters left: 5 (82 enodes) 292.792 * * [simplify]: iters left: 4 (169 enodes) 292.857 * * [simplify]: iters left: 3 (375 enodes) 293.046 * * [simplify]: Extracting #0: cost 1 inf + 0 293.046 * * [simplify]: Extracting #1: cost 13 inf + 0 293.046 * * [simplify]: Extracting #2: cost 113 inf + 0 293.047 * * [simplify]: Extracting #3: cost 168 inf + 367 293.048 * * [simplify]: Extracting #4: cost 165 inf + 1178 293.048 * * [simplify]: Extracting #5: cost 164 inf + 1358 293.050 * * [simplify]: Extracting #6: cost 132 inf + 8138 293.053 * * [simplify]: Extracting #7: cost 107 inf + 13657 293.062 * * [simplify]: Extracting #8: cost 37 inf + 39612 293.083 * * [simplify]: Extracting #9: cost 0 inf + 53786 293.113 * * [simplify]: Extracting #10: cost 0 inf + 53561 293.128 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 293.128 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 293.128 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 293.128 * * [simplify]: iters left: 6 (17 enodes) 293.133 * * [simplify]: iters left: 5 (68 enodes) 293.150 * * [simplify]: iters left: 4 (127 enodes) 293.194 * * [simplify]: iters left: 3 (292 enodes) 293.338 * * [simplify]: Extracting #0: cost 1 inf + 0 293.338 * * [simplify]: Extracting #1: cost 0 inf + 1 293.338 * [simplify]: Simplified to 0 293.338 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 293.339 * * * * [progress]: [ 390 / 2246 ] simplifiying candidate # 293.339 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 293.339 * * [simplify]: iters left: 6 (23 enodes) 293.347 * * [simplify]: iters left: 5 (91 enodes) 293.379 * * [simplify]: iters left: 4 (155 enodes) 293.412 * * [simplify]: iters left: 3 (335 enodes) 293.610 * * [simplify]: Extracting #0: cost 1 inf + 0 293.610 * * [simplify]: Extracting #1: cost 13 inf + 0 293.610 * * [simplify]: Extracting #2: cost 102 inf + 0 293.611 * * [simplify]: Extracting #3: cost 165 inf + 328 293.612 * * [simplify]: Extracting #4: cost 162 inf + 1138 293.613 * * [simplify]: Extracting #5: cost 161 inf + 1358 293.614 * * [simplify]: Extracting #6: cost 131 inf + 7543 293.619 * * [simplify]: Extracting #7: cost 77 inf + 23288 293.630 * * [simplify]: Extracting #8: cost 6 inf + 50385 293.646 * * [simplify]: Extracting #9: cost 0 inf + 52180 293.669 * [simplify]: Simplified to (fma (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ (/ -1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 293.669 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ (/ -1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 293.670 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 293.670 * * [simplify]: iters left: 6 (18 enodes) 293.680 * * [simplify]: iters left: 5 (73 enodes) 293.708 * * [simplify]: iters left: 4 (112 enodes) 293.738 * * [simplify]: iters left: 3 (236 enodes) 293.847 * * [simplify]: Extracting #0: cost 1 inf + 0 293.847 * * [simplify]: Extracting #1: cost 20 inf + 0 293.848 * * [simplify]: Extracting #2: cost 95 inf + 1 293.848 * * [simplify]: Extracting #3: cost 118 inf + 4 293.849 * * [simplify]: Extracting #4: cost 111 inf + 1145 293.852 * * [simplify]: Extracting #5: cost 86 inf + 6974 293.856 * * [simplify]: Extracting #6: cost 75 inf + 9748 293.861 * * [simplify]: Extracting #7: cost 70 inf + 10597 293.868 * * [simplify]: Extracting #8: cost 17 inf + 29887 293.877 * * [simplify]: Extracting #9: cost 0 inf + 36382 293.887 * * [simplify]: Extracting #10: cost 0 inf + 36332 293.899 * [simplify]: Simplified to (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 293.899 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) 293.900 * * * * [progress]: [ 391 / 2246 ] simplifiying candidate # 293.900 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 293.900 * * [simplify]: iters left: 6 (23 enodes) 293.915 * * [simplify]: iters left: 5 (91 enodes) 293.941 * * [simplify]: iters left: 4 (155 enodes) 293.976 * * [simplify]: iters left: 3 (335 enodes) 294.148 * * [simplify]: Extracting #0: cost 1 inf + 0 294.148 * * [simplify]: Extracting #1: cost 13 inf + 0 294.149 * * [simplify]: Extracting #2: cost 102 inf + 0 294.150 * * [simplify]: Extracting #3: cost 165 inf + 328 294.152 * * [simplify]: Extracting #4: cost 162 inf + 1138 294.153 * * [simplify]: Extracting #5: cost 161 inf + 1358 294.157 * * [simplify]: Extracting #6: cost 131 inf + 7543 294.167 * * [simplify]: Extracting #7: cost 77 inf + 23288 294.182 * * [simplify]: Extracting #8: cost 6 inf + 50385 294.194 * * [simplify]: Extracting #9: cost 0 inf + 52180 294.216 * [simplify]: Simplified to (fma (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ (/ -1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 294.216 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ (/ -1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 294.217 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 294.217 * * [simplify]: iters left: 6 (18 enodes) 294.231 * * [simplify]: iters left: 5 (73 enodes) 294.253 * * [simplify]: iters left: 4 (112 enodes) 294.282 * * [simplify]: iters left: 3 (236 enodes) 294.392 * * [simplify]: Extracting #0: cost 1 inf + 0 294.392 * * [simplify]: Extracting #1: cost 20 inf + 0 294.392 * * [simplify]: Extracting #2: cost 95 inf + 1 294.393 * * [simplify]: Extracting #3: cost 118 inf + 4 294.393 * * [simplify]: Extracting #4: cost 111 inf + 1145 294.395 * * [simplify]: Extracting #5: cost 86 inf + 6974 294.396 * * [simplify]: Extracting #6: cost 75 inf + 9748 294.399 * * [simplify]: Extracting #7: cost 70 inf + 10597 294.408 * * [simplify]: Extracting #8: cost 17 inf + 29887 294.418 * * [simplify]: Extracting #9: cost 0 inf + 36382 294.430 * * [simplify]: Extracting #10: cost 0 inf + 36332 294.445 * [simplify]: Simplified to (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 294.445 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) 294.445 * * * * [progress]: [ 392 / 2246 ] simplifiying candidate # 294.446 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 294.446 * * [simplify]: iters left: 6 (21 enodes) 294.457 * * [simplify]: iters left: 5 (82 enodes) 294.482 * * [simplify]: iters left: 4 (169 enodes) 294.536 * * [simplify]: iters left: 3 (375 enodes) 294.779 * * [simplify]: Extracting #0: cost 1 inf + 0 294.779 * * [simplify]: Extracting #1: cost 13 inf + 0 294.779 * * [simplify]: Extracting #2: cost 113 inf + 0 294.781 * * [simplify]: Extracting #3: cost 168 inf + 367 294.783 * * [simplify]: Extracting #4: cost 165 inf + 1178 294.785 * * [simplify]: Extracting #5: cost 164 inf + 1358 294.788 * * [simplify]: Extracting #6: cost 132 inf + 8138 294.794 * * [simplify]: Extracting #7: cost 107 inf + 13657 294.812 * * [simplify]: Extracting #8: cost 37 inf + 39612 294.840 * * [simplify]: Extracting #9: cost 0 inf + 53786 294.868 * * [simplify]: Extracting #10: cost 0 inf + 53561 294.902 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 294.902 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 294.902 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 294.903 * * [simplify]: iters left: 6 (17 enodes) 294.910 * * [simplify]: iters left: 5 (68 enodes) 294.923 * * [simplify]: iters left: 4 (127 enodes) 294.953 * * [simplify]: iters left: 3 (292 enodes) 295.106 * * [simplify]: Extracting #0: cost 1 inf + 0 295.106 * * [simplify]: Extracting #1: cost 0 inf + 1 295.106 * [simplify]: Simplified to 0 295.106 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 295.106 * * * * [progress]: [ 393 / 2246 ] simplifiying candidate # 295.106 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 295.107 * * [simplify]: iters left: 6 (22 enodes) 295.113 * * [simplify]: iters left: 5 (87 enodes) 295.131 * * [simplify]: iters left: 4 (193 enodes) 295.181 * * [simplify]: iters left: 3 (458 enodes) 295.444 * * [simplify]: Extracting #0: cost 1 inf + 0 295.444 * * [simplify]: Extracting #1: cost 13 inf + 0 295.445 * * [simplify]: Extracting #2: cost 157 inf + 0 295.447 * * [simplify]: Extracting #3: cost 289 inf + 409 295.449 * * [simplify]: Extracting #4: cost 287 inf + 1137 295.450 * * [simplify]: Extracting #5: cost 280 inf + 2100 295.452 * * [simplify]: Extracting #6: cost 262 inf + 5116 295.457 * * [simplify]: Extracting #7: cost 220 inf + 19559 295.487 * * [simplify]: Extracting #8: cost 38 inf + 102175 295.548 * * [simplify]: Extracting #9: cost 0 inf + 121114 295.616 * * [simplify]: Extracting #10: cost 0 inf + 120890 295.661 * * [simplify]: Extracting #11: cost 0 inf + 120866 295.706 * [simplify]: Simplified to (fma (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ -1/2 (* (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 295.706 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ -1/2 (* (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 295.707 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 295.707 * * [simplify]: iters left: 6 (18 enodes) 295.716 * * [simplify]: iters left: 5 (73 enodes) 295.741 * * [simplify]: iters left: 4 (149 enodes) 295.783 * * [simplify]: iters left: 3 (359 enodes) 296.030 * * [simplify]: Extracting #0: cost 1 inf + 0 296.030 * * [simplify]: Extracting #1: cost 0 inf + 1 296.030 * [simplify]: Simplified to 0 296.030 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 296.031 * * * * [progress]: [ 394 / 2246 ] simplifiying candidate # 296.031 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 296.031 * * [simplify]: iters left: 6 (21 enodes) 296.037 * * [simplify]: iters left: 5 (81 enodes) 296.053 * * [simplify]: iters left: 4 (163 enodes) 296.109 * * [simplify]: iters left: 3 (345 enodes) 296.301 * * [simplify]: Extracting #0: cost 1 inf + 0 296.301 * * [simplify]: Extracting #1: cost 13 inf + 0 296.302 * * [simplify]: Extracting #2: cost 130 inf + 0 296.303 * * [simplify]: Extracting #3: cost 207 inf + 368 296.305 * * [simplify]: Extracting #4: cost 204 inf + 1138 296.307 * * [simplify]: Extracting #5: cost 204 inf + 1300 296.312 * * [simplify]: Extracting #6: cost 164 inf + 11994 296.343 * * [simplify]: Extracting #7: cost 37 inf + 56219 296.381 * * [simplify]: Extracting #8: cost 0 inf + 71514 296.410 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (sqrt (hypot 1 x))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (hypot 1 x))))) 296.410 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (sqrt (hypot 1 x))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 296.410 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 296.410 * * [simplify]: iters left: 6 (17 enodes) 296.415 * * [simplify]: iters left: 5 (67 enodes) 296.426 * * [simplify]: iters left: 4 (121 enodes) 296.469 * * [simplify]: iters left: 3 (261 enodes) 296.596 * * [simplify]: Extracting #0: cost 1 inf + 0 296.596 * * [simplify]: Extracting #1: cost 0 inf + 1 296.596 * [simplify]: Simplified to 0 296.597 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 296.597 * * * * [progress]: [ 395 / 2246 ] simplifiying candidate # 296.597 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 296.597 * * [simplify]: iters left: 6 (20 enodes) 296.602 * * [simplify]: iters left: 5 (77 enodes) 296.618 * * [simplify]: iters left: 4 (149 enodes) 296.682 * * [simplify]: iters left: 3 (304 enodes) 296.839 * * [simplify]: Extracting #0: cost 1 inf + 0 296.839 * * [simplify]: Extracting #1: cost 13 inf + 0 296.839 * * [simplify]: Extracting #2: cost 99 inf + 0 296.840 * * [simplify]: Extracting #3: cost 130 inf + 650 296.841 * * [simplify]: Extracting #4: cost 128 inf + 1300 296.841 * * [simplify]: Extracting #5: cost 128 inf + 1358 296.842 * * [simplify]: Extracting #6: cost 107 inf + 4505 296.848 * * [simplify]: Extracting #7: cost 30 inf + 27400 296.863 * * [simplify]: Extracting #8: cost 1 inf + 37273 296.881 * * [simplify]: Extracting #9: cost 0 inf + 37857 296.891 * [simplify]: Simplified to (fma (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ -1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) 296.891 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ -1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))))) 296.891 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1))) 296.891 * * [simplify]: iters left: 6 (16 enodes) 296.896 * * [simplify]: iters left: 5 (63 enodes) 296.907 * * [simplify]: iters left: 4 (109 enodes) 296.954 * * [simplify]: iters left: 3 (230 enodes) 297.062 * * [simplify]: Extracting #0: cost 1 inf + 0 297.062 * * [simplify]: Extracting #1: cost 0 inf + 1 297.062 * [simplify]: Simplified to 0 297.062 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 0))) 297.062 * * * * [progress]: [ 396 / 2246 ] simplifiying candidate # 297.062 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 297.063 * * [simplify]: iters left: 6 (22 enodes) 297.069 * * [simplify]: iters left: 5 (86 enodes) 297.087 * * [simplify]: iters left: 4 (145 enodes) 297.124 * * [simplify]: iters left: 3 (303 enodes) 297.249 * * [simplify]: Extracting #0: cost 1 inf + 0 297.249 * * [simplify]: Extracting #1: cost 13 inf + 0 297.249 * * [simplify]: Extracting #2: cost 84 inf + 0 297.250 * * [simplify]: Extracting #3: cost 125 inf + 85 297.251 * * [simplify]: Extracting #4: cost 123 inf + 695 297.252 * * [simplify]: Extracting #5: cost 120 inf + 1197 297.254 * * [simplify]: Extracting #6: cost 102 inf + 4078 297.262 * * [simplify]: Extracting #7: cost 40 inf + 20864 297.278 * * [simplify]: Extracting #8: cost 3 inf + 33457 297.294 * * [simplify]: Extracting #9: cost 0 inf + 34203 297.302 * [simplify]: Simplified to (fma (cbrt 1/2) (/ (cbrt 1/2) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt 1/2))) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 297.302 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (cbrt 1/2) (/ (cbrt 1/2) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt 1/2))) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))))) 297.303 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)))) 297.303 * * [simplify]: iters left: 6 (17 enodes) 297.308 * * [simplify]: iters left: 5 (68 enodes) 297.320 * * [simplify]: iters left: 4 (102 enodes) 297.361 * * [simplify]: iters left: 3 (202 enodes) 297.464 * * [simplify]: iters left: 2 (433 enodes) 297.771 * * [simplify]: Extracting #0: cost 1 inf + 0 297.771 * * [simplify]: Extracting #1: cost 0 inf + 1 297.771 * [simplify]: Simplified to 0 297.771 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 297.772 * * * * [progress]: [ 397 / 2246 ] simplifiying candidate # 297.772 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 297.772 * * [simplify]: iters left: 6 (22 enodes) 297.784 * * [simplify]: iters left: 5 (86 enodes) 297.806 * * [simplify]: iters left: 4 (145 enodes) 297.838 * * [simplify]: iters left: 3 (303 enodes) 297.930 * * [simplify]: Extracting #0: cost 1 inf + 0 297.931 * * [simplify]: Extracting #1: cost 13 inf + 0 297.931 * * [simplify]: Extracting #2: cost 84 inf + 0 297.931 * * [simplify]: Extracting #3: cost 125 inf + 85 297.932 * * [simplify]: Extracting #4: cost 123 inf + 695 297.932 * * [simplify]: Extracting #5: cost 120 inf + 1197 297.933 * * [simplify]: Extracting #6: cost 102 inf + 4078 297.937 * * [simplify]: Extracting #7: cost 40 inf + 20864 297.945 * * [simplify]: Extracting #8: cost 3 inf + 33457 297.954 * * [simplify]: Extracting #9: cost 0 inf + 34203 297.966 * [simplify]: Simplified to (fma (cbrt 1/2) (/ (cbrt 1/2) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt 1/2))) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 297.966 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (cbrt 1/2) (/ (cbrt 1/2) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt 1/2))) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))))) 297.966 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)))) 297.967 * * [simplify]: iters left: 6 (17 enodes) 297.977 * * [simplify]: iters left: 5 (68 enodes) 298.003 * * [simplify]: iters left: 4 (102 enodes) 298.041 * * [simplify]: iters left: 3 (202 enodes) 298.137 * * [simplify]: iters left: 2 (433 enodes) 298.392 * * [simplify]: Extracting #0: cost 1 inf + 0 298.393 * * [simplify]: Extracting #1: cost 0 inf + 1 298.393 * [simplify]: Simplified to 0 298.393 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 298.393 * * * * [progress]: [ 398 / 2246 ] simplifiying candidate # 298.393 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 298.393 * * [simplify]: iters left: 6 (20 enodes) 298.398 * * [simplify]: iters left: 5 (77 enodes) 298.413 * * [simplify]: iters left: 4 (149 enodes) 298.447 * * [simplify]: iters left: 3 (304 enodes) 298.572 * * [simplify]: Extracting #0: cost 1 inf + 0 298.572 * * [simplify]: Extracting #1: cost 13 inf + 0 298.572 * * [simplify]: Extracting #2: cost 99 inf + 0 298.573 * * [simplify]: Extracting #3: cost 130 inf + 650 298.573 * * [simplify]: Extracting #4: cost 128 inf + 1300 298.574 * * [simplify]: Extracting #5: cost 128 inf + 1358 298.575 * * [simplify]: Extracting #6: cost 107 inf + 4505 298.581 * * [simplify]: Extracting #7: cost 30 inf + 27400 298.590 * * [simplify]: Extracting #8: cost 1 inf + 37273 298.600 * * [simplify]: Extracting #9: cost 0 inf + 37857 298.610 * [simplify]: Simplified to (fma (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ -1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) 298.610 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ -1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))))) 298.611 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1))) 298.611 * * [simplify]: iters left: 6 (16 enodes) 298.615 * * [simplify]: iters left: 5 (63 enodes) 298.626 * * [simplify]: iters left: 4 (109 enodes) 298.658 * * [simplify]: iters left: 3 (230 enodes) 298.784 * * [simplify]: Extracting #0: cost 1 inf + 0 298.785 * * [simplify]: Extracting #1: cost 0 inf + 1 298.785 * [simplify]: Simplified to 0 298.785 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 0))) 298.785 * * * * [progress]: [ 399 / 2246 ] simplifiying candidate # 298.785 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 298.785 * * [simplify]: iters left: 6 (20 enodes) 298.793 * * [simplify]: iters left: 5 (77 enodes) 298.819 * * [simplify]: iters left: 4 (165 enodes) 298.865 * * [simplify]: iters left: 3 (368 enodes) 299.092 * * [simplify]: Extracting #0: cost 1 inf + 0 299.092 * * [simplify]: Extracting #1: cost 13 inf + 0 299.093 * * [simplify]: Extracting #2: cost 124 inf + 0 299.094 * * [simplify]: Extracting #3: cost 181 inf + 569 299.096 * * [simplify]: Extracting #4: cost 172 inf + 1545 299.098 * * [simplify]: Extracting #5: cost 168 inf + 2139 299.104 * * [simplify]: Extracting #6: cost 136 inf + 13407 299.130 * * [simplify]: Extracting #7: cost 34 inf + 54205 299.152 * * [simplify]: Extracting #8: cost 0 inf + 68506 299.177 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 299.177 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 299.178 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 299.178 * * [simplify]: iters left: 6 (16 enodes) 299.183 * * [simplify]: iters left: 5 (63 enodes) 299.194 * * [simplify]: iters left: 4 (123 enodes) 299.230 * * [simplify]: iters left: 3 (281 enodes) 299.397 * * [simplify]: Extracting #0: cost 1 inf + 0 299.398 * * [simplify]: Extracting #1: cost 0 inf + 1 299.398 * [simplify]: Simplified to 0 299.398 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 299.398 * * * * [progress]: [ 400 / 2246 ] simplifiying candidate # 299.398 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 299.398 * * [simplify]: iters left: 6 (19 enodes) 299.403 * * [simplify]: iters left: 5 (72 enodes) 299.428 * * [simplify]: iters left: 4 (141 enodes) 299.479 * * [simplify]: iters left: 3 (276 enodes) 299.578 * * [simplify]: Extracting #0: cost 1 inf + 0 299.578 * * [simplify]: Extracting #1: cost 13 inf + 0 299.578 * * [simplify]: Extracting #2: cost 87 inf + 0 299.579 * * [simplify]: Extracting #3: cost 117 inf + 85 299.579 * * [simplify]: Extracting #4: cost 109 inf + 842 299.580 * * [simplify]: Extracting #5: cost 99 inf + 2317 299.581 * * [simplify]: Extracting #6: cost 89 inf + 4857 299.585 * * [simplify]: Extracting #7: cost 37 inf + 21725 299.598 * * [simplify]: Extracting #8: cost 4 inf + 32892 299.615 * * [simplify]: Extracting #9: cost 0 inf + 34406 299.632 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 299.632 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 299.633 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 299.633 * * [simplify]: iters left: 6 (15 enodes) 299.640 * * [simplify]: iters left: 5 (58 enodes) 299.661 * * [simplify]: iters left: 4 (101 enodes) 299.705 * * [simplify]: iters left: 3 (184 enodes) 299.754 * * [simplify]: iters left: 2 (365 enodes) 299.947 * * [simplify]: Extracting #0: cost 1 inf + 0 299.947 * * [simplify]: Extracting #1: cost 0 inf + 1 299.947 * [simplify]: Simplified to 0 299.947 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 299.947 * * * * [progress]: [ 401 / 2246 ] simplifiying candidate # 299.948 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 299.948 * * [simplify]: iters left: 6 (18 enodes) 299.958 * * [simplify]: iters left: 5 (66 enodes) 299.982 * * [simplify]: iters left: 4 (107 enodes) 300.005 * * [simplify]: iters left: 3 (172 enodes) 300.051 * * [simplify]: iters left: 2 (262 enodes) 300.144 * * [simplify]: iters left: 1 (413 enodes) 300.413 * * [simplify]: Extracting #0: cost 1 inf + 0 300.413 * * [simplify]: Extracting #1: cost 18 inf + 0 300.414 * * [simplify]: Extracting #2: cost 123 inf + 2 300.415 * * [simplify]: Extracting #3: cost 156 inf + 4 300.416 * * [simplify]: Extracting #4: cost 125 inf + 4361 300.418 * * [simplify]: Extracting #5: cost 102 inf + 8111 300.424 * * [simplify]: Extracting #6: cost 31 inf + 29171 300.435 * * [simplify]: Extracting #7: cost 0 inf + 38992 300.453 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 300.453 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))))) 300.453 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1))) 300.453 * * [simplify]: iters left: 6 (14 enodes) 300.460 * * [simplify]: iters left: 5 (51 enodes) 300.476 * * [simplify]: iters left: 4 (77 enodes) 300.490 * * [simplify]: iters left: 3 (112 enodes) 300.510 * * [simplify]: iters left: 2 (165 enodes) 300.552 * * [simplify]: iters left: 1 (238 enodes) 300.622 * * [simplify]: Extracting #0: cost 1 inf + 0 300.622 * * [simplify]: Extracting #1: cost 0 inf + 1 300.622 * [simplify]: Simplified to 0 300.622 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 300.623 * * * * [progress]: [ 402 / 2246 ] simplifiying candidate # 300.623 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 300.623 * * [simplify]: iters left: 6 (20 enodes) 300.636 * * [simplify]: iters left: 5 (76 enodes) 300.663 * * [simplify]: iters left: 4 (119 enodes) 300.704 * * [simplify]: iters left: 3 (191 enodes) 300.739 * * [simplify]: iters left: 2 (288 enodes) 300.854 * * [simplify]: iters left: 1 (451 enodes) 301.157 * * [simplify]: Extracting #0: cost 1 inf + 0 301.157 * * [simplify]: Extracting #1: cost 17 inf + 0 301.157 * * [simplify]: Extracting #2: cost 95 inf + 2 301.158 * * [simplify]: Extracting #3: cost 129 inf + 4 301.158 * * [simplify]: Extracting #4: cost 108 inf + 2685 301.160 * * [simplify]: Extracting #5: cost 86 inf + 6430 301.164 * * [simplify]: Extracting #6: cost 47 inf + 17066 301.173 * * [simplify]: Extracting #7: cost 4 inf + 31283 301.186 * * [simplify]: Extracting #8: cost 0 inf + 32462 301.206 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 301.206 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))))) 301.207 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1)))) 301.207 * * [simplify]: iters left: 6 (15 enodes) 301.216 * * [simplify]: iters left: 5 (58 enodes) 301.239 * * [simplify]: iters left: 4 (94 enodes) 301.270 * * [simplify]: iters left: 3 (132 enodes) 301.295 * * [simplify]: iters left: 2 (179 enodes) 301.357 * * [simplify]: iters left: 1 (300 enodes) 301.473 * * [simplify]: Extracting #0: cost 1 inf + 0 301.474 * * [simplify]: Extracting #1: cost 0 inf + 1 301.474 * [simplify]: Simplified to 0 301.474 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 301.474 * * * * [progress]: [ 403 / 2246 ] simplifiying candidate # 301.474 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 301.474 * * [simplify]: iters left: 6 (20 enodes) 301.487 * * [simplify]: iters left: 5 (76 enodes) 301.503 * * [simplify]: iters left: 4 (119 enodes) 301.525 * * [simplify]: iters left: 3 (191 enodes) 301.571 * * [simplify]: iters left: 2 (288 enodes) 301.669 * * [simplify]: iters left: 1 (451 enodes) 301.927 * * [simplify]: Extracting #0: cost 1 inf + 0 301.927 * * [simplify]: Extracting #1: cost 17 inf + 0 301.928 * * [simplify]: Extracting #2: cost 95 inf + 2 301.929 * * [simplify]: Extracting #3: cost 129 inf + 4 301.932 * * [simplify]: Extracting #4: cost 108 inf + 2685 301.935 * * [simplify]: Extracting #5: cost 86 inf + 6430 301.943 * * [simplify]: Extracting #6: cost 47 inf + 17066 301.960 * * [simplify]: Extracting #7: cost 4 inf + 31283 301.983 * * [simplify]: Extracting #8: cost 0 inf + 32462 301.998 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 301.998 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))))) 301.999 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1)))) 301.999 * * [simplify]: iters left: 6 (15 enodes) 302.004 * * [simplify]: iters left: 5 (58 enodes) 302.015 * * [simplify]: iters left: 4 (94 enodes) 302.033 * * [simplify]: iters left: 3 (132 enodes) 302.074 * * [simplify]: iters left: 2 (179 enodes) 302.116 * * [simplify]: iters left: 1 (300 enodes) 302.225 * * [simplify]: Extracting #0: cost 1 inf + 0 302.225 * * [simplify]: Extracting #1: cost 0 inf + 1 302.225 * [simplify]: Simplified to 0 302.225 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 302.225 * * * * [progress]: [ 404 / 2246 ] simplifiying candidate # 302.225 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 302.225 * * [simplify]: iters left: 6 (18 enodes) 302.231 * * [simplify]: iters left: 5 (66 enodes) 302.243 * * [simplify]: iters left: 4 (107 enodes) 302.268 * * [simplify]: iters left: 3 (172 enodes) 302.320 * * [simplify]: iters left: 2 (262 enodes) 302.388 * * [simplify]: iters left: 1 (413 enodes) 302.645 * * [simplify]: Extracting #0: cost 1 inf + 0 302.645 * * [simplify]: Extracting #1: cost 18 inf + 0 302.646 * * [simplify]: Extracting #2: cost 123 inf + 2 302.647 * * [simplify]: Extracting #3: cost 156 inf + 4 302.648 * * [simplify]: Extracting #4: cost 125 inf + 4361 302.649 * * [simplify]: Extracting #5: cost 102 inf + 8111 302.655 * * [simplify]: Extracting #6: cost 31 inf + 29171 302.666 * * [simplify]: Extracting #7: cost 0 inf + 38992 302.683 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 302.683 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))))) 302.684 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1))) 302.684 * * [simplify]: iters left: 6 (14 enodes) 302.691 * * [simplify]: iters left: 5 (51 enodes) 302.708 * * [simplify]: iters left: 4 (77 enodes) 302.733 * * [simplify]: iters left: 3 (112 enodes) 302.765 * * [simplify]: iters left: 2 (165 enodes) 302.795 * * [simplify]: iters left: 1 (238 enodes) 302.869 * * [simplify]: Extracting #0: cost 1 inf + 0 302.870 * * [simplify]: Extracting #1: cost 0 inf + 1 302.870 * [simplify]: Simplified to 0 302.870 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 302.870 * * * * [progress]: [ 405 / 2246 ] simplifiying candidate # 302.870 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 302.871 * * [simplify]: iters left: 6 (19 enodes) 302.880 * * [simplify]: iters left: 5 (76 enodes) 302.909 * * [simplify]: iters left: 4 (160 enodes) 302.970 * * [simplify]: iters left: 3 (345 enodes) 303.115 * * [simplify]: Extracting #0: cost 1 inf + 0 303.115 * * [simplify]: Extracting #1: cost 13 inf + 0 303.116 * * [simplify]: Extracting #2: cost 121 inf + 0 303.117 * * [simplify]: Extracting #3: cost 167 inf + 570 303.119 * * [simplify]: Extracting #4: cost 158 inf + 1651 303.121 * * [simplify]: Extracting #5: cost 153 inf + 2317 303.133 * * [simplify]: Extracting #6: cost 69 inf + 34581 303.162 * * [simplify]: Extracting #7: cost 0 inf + 63089 303.180 * * [simplify]: Extracting #8: cost 0 inf + 63088 303.212 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 303.212 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 303.212 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 303.213 * * [simplify]: iters left: 6 (15 enodes) 303.221 * * [simplify]: iters left: 5 (62 enodes) 303.243 * * [simplify]: iters left: 4 (118 enodes) 303.281 * * [simplify]: iters left: 3 (252 enodes) 303.402 * * [simplify]: Extracting #0: cost 1 inf + 0 303.402 * * [simplify]: Extracting #1: cost 0 inf + 1 303.402 * [simplify]: Simplified to 0 303.402 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 303.402 * * * * [progress]: [ 406 / 2246 ] simplifiying candidate # 303.403 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 303.403 * * [simplify]: iters left: 6 (18 enodes) 303.412 * * [simplify]: iters left: 5 (71 enodes) 303.435 * * [simplify]: iters left: 4 (138 enodes) 303.475 * * [simplify]: iters left: 3 (273 enodes) 303.569 * * [simplify]: Extracting #0: cost 1 inf + 0 303.569 * * [simplify]: Extracting #1: cost 13 inf + 0 303.570 * * [simplify]: Extracting #2: cost 94 inf + 0 303.570 * * [simplify]: Extracting #3: cost 123 inf + 408 303.571 * * [simplify]: Extracting #4: cost 114 inf + 1448 303.572 * * [simplify]: Extracting #5: cost 108 inf + 2317 303.573 * * [simplify]: Extracting #6: cost 99 inf + 4362 303.577 * * [simplify]: Extracting #7: cost 44 inf + 21969 303.585 * * [simplify]: Extracting #8: cost 2 inf + 36938 303.603 * * [simplify]: Extracting #9: cost 0 inf + 37654 303.620 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 303.620 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 303.620 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 303.621 * * [simplify]: iters left: 6 (14 enodes) 303.628 * * [simplify]: iters left: 5 (57 enodes) 303.639 * * [simplify]: iters left: 4 (98 enodes) 303.659 * * [simplify]: iters left: 3 (181 enodes) 303.723 * * [simplify]: iters left: 2 (360 enodes) 303.949 * * [simplify]: Extracting #0: cost 1 inf + 0 303.949 * * [simplify]: Extracting #1: cost 0 inf + 1 303.949 * [simplify]: Simplified to 0 303.949 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 303.949 * * * * [progress]: [ 407 / 2246 ] simplifiying candidate # 303.949 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 303.950 * * [simplify]: iters left: 6 (17 enodes) 303.959 * * [simplify]: iters left: 5 (65 enodes) 303.981 * * [simplify]: iters left: 4 (106 enodes) 304.019 * * [simplify]: iters left: 3 (171 enodes) 304.055 * * [simplify]: iters left: 2 (261 enodes) 304.150 * * [simplify]: iters left: 1 (412 enodes) 304.403 * * [simplify]: Extracting #0: cost 1 inf + 0 304.403 * * [simplify]: Extracting #1: cost 18 inf + 0 304.403 * * [simplify]: Extracting #2: cost 125 inf + 2 304.404 * * [simplify]: Extracting #3: cost 157 inf + 207 304.405 * * [simplify]: Extracting #4: cost 129 inf + 3974 304.407 * * [simplify]: Extracting #5: cost 102 inf + 8310 304.414 * * [simplify]: Extracting #6: cost 20 inf + 33296 304.432 * * [simplify]: Extracting #7: cost 0 inf + 39870 304.453 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 304.454 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))))) 304.454 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1))) 304.454 * * [simplify]: iters left: 6 (13 enodes) 304.462 * * [simplify]: iters left: 5 (50 enodes) 304.474 * * [simplify]: iters left: 4 (76 enodes) 304.487 * * [simplify]: iters left: 3 (111 enodes) 304.504 * * [simplify]: iters left: 2 (147 enodes) 304.532 * * [simplify]: iters left: 1 (234 enodes) 304.588 * * [simplify]: Extracting #0: cost 1 inf + 0 304.588 * * [simplify]: Extracting #1: cost 0 inf + 1 304.588 * [simplify]: Simplified to 0 304.588 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 304.588 * * * * [progress]: [ 408 / 2246 ] simplifiying candidate # 304.588 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 304.588 * * [simplify]: iters left: 6 (19 enodes) 304.598 * * [simplify]: iters left: 5 (76 enodes) 304.616 * * [simplify]: iters left: 4 (114 enodes) 304.636 * * [simplify]: iters left: 3 (183 enodes) 304.677 * * [simplify]: iters left: 2 (289 enodes) 304.770 * * [simplify]: iters left: 1 (466 enodes) 305.051 * * [simplify]: Extracting #0: cost 1 inf + 0 305.051 * * [simplify]: Extracting #1: cost 18 inf + 0 305.052 * * [simplify]: Extracting #2: cost 117 inf + 2 305.053 * * [simplify]: Extracting #3: cost 142 inf + 2313 305.054 * * [simplify]: Extracting #4: cost 133 inf + 3744 305.056 * * [simplify]: Extracting #5: cost 103 inf + 8329 305.061 * * [simplify]: Extracting #6: cost 39 inf + 27923 305.072 * * [simplify]: Extracting #7: cost 2 inf + 38823 305.084 * * [simplify]: Extracting #8: cost 0 inf + 39256 305.104 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 305.104 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))))) 305.104 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1)))) 305.105 * * [simplify]: iters left: 6 (14 enodes) 305.113 * * [simplify]: iters left: 5 (57 enodes) 305.140 * * [simplify]: iters left: 4 (93 enodes) 305.171 * * [simplify]: iters left: 3 (131 enodes) 305.210 * * [simplify]: iters left: 2 (178 enodes) 305.257 * * [simplify]: iters left: 1 (299 enodes) 305.375 * * [simplify]: Extracting #0: cost 1 inf + 0 305.375 * * [simplify]: Extracting #1: cost 0 inf + 1 305.375 * [simplify]: Simplified to 0 305.375 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 305.375 * * * * [progress]: [ 409 / 2246 ] simplifiying candidate # 305.375 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 305.375 * * [simplify]: iters left: 6 (19 enodes) 305.382 * * [simplify]: iters left: 5 (76 enodes) 305.395 * * [simplify]: iters left: 4 (114 enodes) 305.417 * * [simplify]: iters left: 3 (183 enodes) 305.473 * * [simplify]: iters left: 2 (289 enodes) 305.567 * * [simplify]: iters left: 1 (466 enodes) 305.831 * * [simplify]: Extracting #0: cost 1 inf + 0 305.831 * * [simplify]: Extracting #1: cost 18 inf + 0 305.831 * * [simplify]: Extracting #2: cost 117 inf + 2 305.832 * * [simplify]: Extracting #3: cost 142 inf + 2313 305.833 * * [simplify]: Extracting #4: cost 133 inf + 3744 305.838 * * [simplify]: Extracting #5: cost 103 inf + 8329 305.844 * * [simplify]: Extracting #6: cost 39 inf + 27923 305.855 * * [simplify]: Extracting #7: cost 2 inf + 38823 305.872 * * [simplify]: Extracting #8: cost 0 inf + 39256 305.883 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 305.883 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))))) 305.884 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1)))) 305.884 * * [simplify]: iters left: 6 (14 enodes) 305.888 * * [simplify]: iters left: 5 (57 enodes) 305.900 * * [simplify]: iters left: 4 (93 enodes) 305.918 * * [simplify]: iters left: 3 (131 enodes) 305.940 * * [simplify]: iters left: 2 (178 enodes) 305.976 * * [simplify]: iters left: 1 (299 enodes) 306.093 * * [simplify]: Extracting #0: cost 1 inf + 0 306.093 * * [simplify]: Extracting #1: cost 0 inf + 1 306.093 * [simplify]: Simplified to 0 306.093 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 306.093 * * * * [progress]: [ 410 / 2246 ] simplifiying candidate # 306.093 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 306.093 * * [simplify]: iters left: 6 (17 enodes) 306.098 * * [simplify]: iters left: 5 (65 enodes) 306.120 * * [simplify]: iters left: 4 (106 enodes) 306.154 * * [simplify]: iters left: 3 (171 enodes) 306.190 * * [simplify]: iters left: 2 (261 enodes) 306.265 * * [simplify]: iters left: 1 (412 enodes) 306.494 * * [simplify]: Extracting #0: cost 1 inf + 0 306.494 * * [simplify]: Extracting #1: cost 18 inf + 0 306.494 * * [simplify]: Extracting #2: cost 125 inf + 2 306.495 * * [simplify]: Extracting #3: cost 157 inf + 207 306.496 * * [simplify]: Extracting #4: cost 129 inf + 3974 306.498 * * [simplify]: Extracting #5: cost 102 inf + 8310 306.504 * * [simplify]: Extracting #6: cost 20 inf + 33296 306.516 * * [simplify]: Extracting #7: cost 0 inf + 39870 306.538 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 306.538 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))))) 306.538 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1))) 306.538 * * [simplify]: iters left: 6 (13 enodes) 306.545 * * [simplify]: iters left: 5 (50 enodes) 306.567 * * [simplify]: iters left: 4 (76 enodes) 306.592 * * [simplify]: iters left: 3 (111 enodes) 306.609 * * [simplify]: iters left: 2 (147 enodes) 306.635 * * [simplify]: iters left: 1 (234 enodes) 306.688 * * [simplify]: Extracting #0: cost 1 inf + 0 306.688 * * [simplify]: Extracting #1: cost 0 inf + 1 306.688 * [simplify]: Simplified to 0 306.688 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 306.688 * * * * [progress]: [ 411 / 2246 ] simplifiying candidate # 306.689 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 306.689 * * [simplify]: iters left: 6 (20 enodes) 306.694 * * [simplify]: iters left: 5 (79 enodes) 306.709 * * [simplify]: iters left: 4 (167 enodes) 306.747 * * [simplify]: iters left: 3 (334 enodes) 306.842 * * [simplify]: Extracting #0: cost 1 inf + 0 306.842 * * [simplify]: Extracting #1: cost 13 inf + 0 306.843 * * [simplify]: Extracting #2: cost 111 inf + 0 306.843 * * [simplify]: Extracting #3: cost 173 inf + 489 306.845 * * [simplify]: Extracting #4: cost 165 inf + 1431 306.848 * * [simplify]: Extracting #5: cost 155 inf + 2705 306.854 * * [simplify]: Extracting #6: cost 108 inf + 18759 306.883 * * [simplify]: Extracting #7: cost 14 inf + 56443 306.901 * * [simplify]: Extracting #8: cost 0 inf + 62375 306.921 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 306.921 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) (fma (- (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 306.922 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 306.922 * * [simplify]: iters left: 6 (16 enodes) 306.926 * * [simplify]: iters left: 5 (65 enodes) 306.938 * * [simplify]: iters left: 4 (125 enodes) 306.986 * * [simplify]: iters left: 3 (242 enodes) 307.090 * * [simplify]: Extracting #0: cost 1 inf + 0 307.090 * * [simplify]: Extracting #1: cost 0 inf + 1 307.090 * [simplify]: Simplified to 0 307.090 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 307.090 * * * * [progress]: [ 412 / 2246 ] simplifiying candidate # 307.090 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 307.090 * * [simplify]: iters left: 6 (19 enodes) 307.096 * * [simplify]: iters left: 5 (74 enodes) 307.114 * * [simplify]: iters left: 4 (143 enodes) 307.152 * * [simplify]: iters left: 3 (254 enodes) 307.217 * * [simplify]: Extracting #0: cost 1 inf + 0 307.217 * * [simplify]: Extracting #1: cost 13 inf + 0 307.218 * * [simplify]: Extracting #2: cost 90 inf + 0 307.218 * * [simplify]: Extracting #3: cost 131 inf + 85 307.218 * * [simplify]: Extracting #4: cost 123 inf + 883 307.219 * * [simplify]: Extracting #5: cost 107 inf + 3079 307.223 * * [simplify]: Extracting #6: cost 50 inf + 20879 307.241 * * [simplify]: Extracting #7: cost 1 inf + 37814 307.258 * * [simplify]: Extracting #8: cost 0 inf + 38112 307.268 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 307.268 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 307.268 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 307.268 * * [simplify]: iters left: 6 (15 enodes) 307.275 * * [simplify]: iters left: 5 (60 enodes) 307.285 * * [simplify]: iters left: 4 (103 enodes) 307.303 * * [simplify]: iters left: 3 (167 enodes) 307.342 * * [simplify]: iters left: 2 (361 enodes) 307.509 * * [simplify]: Extracting #0: cost 1 inf + 0 307.509 * * [simplify]: Extracting #1: cost 0 inf + 1 307.509 * [simplify]: Simplified to 0 307.510 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 307.510 * * * * [progress]: [ 413 / 2246 ] simplifiying candidate # 307.510 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 307.510 * * [simplify]: iters left: 6 (18 enodes) 307.516 * * [simplify]: iters left: 5 (68 enodes) 307.529 * * [simplify]: iters left: 4 (124 enodes) 307.552 * * [simplify]: iters left: 3 (204 enodes) 307.585 * * [simplify]: iters left: 2 (304 enodes) 307.645 * * [simplify]: iters left: 1 (413 enodes) 307.754 * * [simplify]: Extracting #0: cost 1 inf + 0 307.754 * * [simplify]: Extracting #1: cost 20 inf + 0 307.755 * * [simplify]: Extracting #2: cost 103 inf + 2 307.755 * * [simplify]: Extracting #3: cost 129 inf + 208 307.756 * * [simplify]: Extracting #4: cost 120 inf + 1789 307.757 * * [simplify]: Extracting #5: cost 91 inf + 6509 307.763 * * [simplify]: Extracting #6: cost 24 inf + 26750 307.773 * * [simplify]: Extracting #7: cost 0 inf + 33833 307.783 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 307.783 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))))) 307.783 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1))) 307.783 * * [simplify]: iters left: 6 (14 enodes) 307.787 * * [simplify]: iters left: 5 (53 enodes) 307.797 * * [simplify]: iters left: 4 (92 enodes) 307.813 * * [simplify]: iters left: 3 (137 enodes) 307.836 * * [simplify]: iters left: 2 (188 enodes) 307.865 * * [simplify]: iters left: 1 (283 enodes) 307.915 * * [simplify]: Extracting #0: cost 1 inf + 0 307.915 * * [simplify]: Extracting #1: cost 0 inf + 1 307.915 * [simplify]: Simplified to 0 307.915 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 307.916 * * * * [progress]: [ 414 / 2246 ] simplifiying candidate # 307.916 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 307.916 * * [simplify]: iters left: 6 (20 enodes) 307.923 * * [simplify]: iters left: 5 (78 enodes) 307.936 * * [simplify]: iters left: 4 (131 enodes) 307.961 * * [simplify]: iters left: 3 (219 enodes) 308.001 * * [simplify]: iters left: 2 (345 enodes) 308.077 * * [simplify]: iters left: 1 (465 enodes) 308.219 * * [simplify]: Extracting #0: cost 1 inf + 0 308.219 * * [simplify]: Extracting #1: cost 21 inf + 0 308.219 * * [simplify]: Extracting #2: cost 103 inf + 2 308.220 * * [simplify]: Extracting #3: cost 132 inf + 288 308.220 * * [simplify]: Extracting #4: cost 117 inf + 2979 308.222 * * [simplify]: Extracting #5: cost 84 inf + 8219 308.226 * * [simplify]: Extracting #6: cost 45 inf + 19112 308.236 * * [simplify]: Extracting #7: cost 3 inf + 32657 308.246 * * [simplify]: Extracting #8: cost 0 inf + 33697 308.256 * [simplify]: Simplified to (* (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1/2 (/ 1/2 (hypot 1 x)))) 308.257 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1/2 (/ 1/2 (hypot 1 x)))) (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))))) 308.257 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1)))) 308.257 * * [simplify]: iters left: 6 (15 enodes) 308.263 * * [simplify]: iters left: 5 (60 enodes) 308.274 * * [simplify]: iters left: 4 (93 enodes) 308.292 * * [simplify]: iters left: 3 (149 enodes) 308.315 * * [simplify]: iters left: 2 (229 enodes) 308.361 * * [simplify]: iters left: 1 (341 enodes) 308.445 * * [simplify]: Extracting #0: cost 1 inf + 0 308.445 * * [simplify]: Extracting #1: cost 0 inf + 1 308.445 * [simplify]: Simplified to 0 308.445 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (* (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1/2 (/ 1/2 (hypot 1 x)))) 0))) 308.445 * * * * [progress]: [ 415 / 2246 ] simplifiying candidate # 308.445 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 308.446 * * [simplify]: iters left: 6 (20 enodes) 308.453 * * [simplify]: iters left: 5 (78 enodes) 308.467 * * [simplify]: iters left: 4 (131 enodes) 308.493 * * [simplify]: iters left: 3 (219 enodes) 308.533 * * [simplify]: iters left: 2 (345 enodes) 308.608 * * [simplify]: iters left: 1 (465 enodes) 308.746 * * [simplify]: Extracting #0: cost 1 inf + 0 308.746 * * [simplify]: Extracting #1: cost 21 inf + 0 308.746 * * [simplify]: Extracting #2: cost 103 inf + 2 308.747 * * [simplify]: Extracting #3: cost 132 inf + 288 308.748 * * [simplify]: Extracting #4: cost 117 inf + 2979 308.749 * * [simplify]: Extracting #5: cost 84 inf + 8219 308.753 * * [simplify]: Extracting #6: cost 45 inf + 19112 308.762 * * [simplify]: Extracting #7: cost 3 inf + 32657 308.773 * * [simplify]: Extracting #8: cost 0 inf + 33697 308.783 * [simplify]: Simplified to (* (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1/2 (/ 1/2 (hypot 1 x)))) 308.784 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1/2 (/ 1/2 (hypot 1 x)))) (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))))) 308.784 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1)))) 308.784 * * [simplify]: iters left: 6 (15 enodes) 308.790 * * [simplify]: iters left: 5 (60 enodes) 308.801 * * [simplify]: iters left: 4 (93 enodes) 308.818 * * [simplify]: iters left: 3 (149 enodes) 308.843 * * [simplify]: iters left: 2 (229 enodes) 308.887 * * [simplify]: iters left: 1 (341 enodes) 308.970 * * [simplify]: Extracting #0: cost 1 inf + 0 308.970 * * [simplify]: Extracting #1: cost 0 inf + 1 308.970 * [simplify]: Simplified to 0 308.970 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (* (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1/2 (/ 1/2 (hypot 1 x)))) 0))) 308.970 * * * * [progress]: [ 416 / 2246 ] simplifiying candidate # 308.971 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 308.971 * * [simplify]: iters left: 6 (18 enodes) 308.976 * * [simplify]: iters left: 5 (68 enodes) 308.989 * * [simplify]: iters left: 4 (124 enodes) 309.013 * * [simplify]: iters left: 3 (204 enodes) 309.047 * * [simplify]: iters left: 2 (304 enodes) 309.109 * * [simplify]: iters left: 1 (413 enodes) 309.220 * * [simplify]: Extracting #0: cost 1 inf + 0 309.220 * * [simplify]: Extracting #1: cost 20 inf + 0 309.221 * * [simplify]: Extracting #2: cost 103 inf + 2 309.221 * * [simplify]: Extracting #3: cost 129 inf + 208 309.222 * * [simplify]: Extracting #4: cost 120 inf + 1789 309.223 * * [simplify]: Extracting #5: cost 91 inf + 6509 309.229 * * [simplify]: Extracting #6: cost 24 inf + 26750 309.239 * * [simplify]: Extracting #7: cost 0 inf + 33833 309.249 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 309.249 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))))) 309.250 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1))) 309.250 * * [simplify]: iters left: 6 (14 enodes) 309.254 * * [simplify]: iters left: 5 (53 enodes) 309.263 * * [simplify]: iters left: 4 (92 enodes) 309.278 * * [simplify]: iters left: 3 (137 enodes) 309.301 * * [simplify]: iters left: 2 (188 enodes) 309.330 * * [simplify]: iters left: 1 (283 enodes) 309.381 * * [simplify]: Extracting #0: cost 1 inf + 0 309.381 * * [simplify]: Extracting #1: cost 0 inf + 1 309.381 * [simplify]: Simplified to 0 309.381 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 309.381 * * * * [progress]: [ 417 / 2246 ] simplifiying candidate # 309.381 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))) 309.381 * * [simplify]: iters left: 6 (16 enodes) 309.386 * * [simplify]: iters left: 5 (62 enodes) 309.398 * * [simplify]: iters left: 4 (107 enodes) 309.417 * * [simplify]: iters left: 3 (180 enodes) 309.451 * * [simplify]: iters left: 2 (265 enodes) 309.516 * * [simplify]: iters left: 1 (424 enodes) 309.694 * * [simplify]: Extracting #0: cost 1 inf + 0 309.694 * * [simplify]: Extracting #1: cost 18 inf + 0 309.694 * * [simplify]: Extracting #2: cost 124 inf + 2 309.695 * * [simplify]: Extracting #3: cost 142 inf + 1704 309.696 * * [simplify]: Extracting #4: cost 124 inf + 4262 309.698 * * [simplify]: Extracting #5: cost 105 inf + 7262 309.704 * * [simplify]: Extracting #6: cost 21 inf + 32006 309.715 * * [simplify]: Extracting #7: cost 0 inf + 38517 309.726 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 309.726 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1 (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))))) 309.726 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1 (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1)) 309.726 * * [simplify]: iters left: 6 (12 enodes) 309.732 * * [simplify]: iters left: 5 (47 enodes) 309.743 * * [simplify]: iters left: 4 (79 enodes) 309.755 * * [simplify]: iters left: 3 (107 enodes) 309.776 * * [simplify]: iters left: 2 (167 enodes) 309.807 * * [simplify]: iters left: 1 (239 enodes) 309.854 * * [simplify]: Extracting #0: cost 1 inf + 0 309.854 * * [simplify]: Extracting #1: cost 0 inf + 1 309.854 * [simplify]: Simplified to 0 309.854 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 309.854 * * * * [progress]: [ 418 / 2246 ] simplifiying candidate # 309.854 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))) 309.854 * * [simplify]: iters left: 6 (16 enodes) 309.859 * * [simplify]: iters left: 5 (63 enodes) 309.873 * * [simplify]: iters left: 4 (117 enodes) 309.893 * * [simplify]: iters left: 3 (200 enodes) 309.934 * * [simplify]: iters left: 2 (329 enodes) 310.025 * * [simplify]: Extracting #0: cost 1 inf + 0 310.026 * * [simplify]: Extracting #1: cost 13 inf + 0 310.026 * * [simplify]: Extracting #2: cost 67 inf + 0 310.026 * * [simplify]: Extracting #3: cost 101 inf + 85 310.027 * * [simplify]: Extracting #4: cost 93 inf + 1328 310.028 * * [simplify]: Extracting #5: cost 70 inf + 4418 310.032 * * [simplify]: Extracting #6: cost 24 inf + 16591 310.039 * * [simplify]: Extracting #7: cost 0 inf + 23900 310.046 * * [simplify]: Extracting #8: cost 0 inf + 23725 310.053 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 310.053 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (hypot 1 x)) (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))))) 310.053 * [simplify]: Simplifying (fma (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (hypot 1 x)) (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x)))) 310.053 * * [simplify]: iters left: 6 (12 enodes) 310.057 * * [simplify]: iters left: 5 (50 enodes) 310.066 * * [simplify]: iters left: 4 (76 enodes) 310.084 * * [simplify]: iters left: 3 (143 enodes) 310.113 * * [simplify]: iters left: 2 (233 enodes) 310.163 * * [simplify]: iters left: 1 (369 enodes) 310.254 * * [simplify]: Extracting #0: cost 1 inf + 0 310.254 * * [simplify]: Extracting #1: cost 0 inf + 1 310.254 * [simplify]: Simplified to 0 310.255 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 310.255 * * * * [progress]: [ 419 / 2246 ] simplifiying candidate # 310.255 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 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))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))) 310.255 * * [simplify]: iters left: 6 (25 enodes) 310.263 * * [simplify]: iters left: 5 (103 enodes) 310.288 * * [simplify]: iters left: 4 (258 enodes) 310.359 * * [simplify]: Extracting #0: cost 1 inf + 0 310.359 * * [simplify]: Extracting #1: cost 13 inf + 0 310.359 * * [simplify]: Extracting #2: cost 114 inf + 0 310.360 * * [simplify]: Extracting #3: cost 184 inf + 368 310.361 * * [simplify]: Extracting #4: cost 158 inf + 6581 310.368 * * [simplify]: Extracting #5: cost 60 inf + 34447 310.380 * * [simplify]: Extracting #6: cost 6 inf + 52947 310.392 * * [simplify]: Extracting #7: cost 1 inf + 54956 310.405 * * [simplify]: Extracting #8: cost 0 inf + 55345 310.418 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (fma (- (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 310.418 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (fma (- (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (fma (- (+ (* 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 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (* (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))))) 310.419 * [simplify]: Simplifying (fma (- (+ (* 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 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (* (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))))) 310.419 * * [simplify]: iters left: 6 (20 enodes) 310.429 * * [simplify]: iters left: 5 (87 enodes) 310.447 * * [simplify]: iters left: 4 (224 enodes) 310.518 * * [simplify]: Extracting #0: cost 1 inf + 0 310.518 * * [simplify]: Extracting #1: cost 14 inf + 0 310.518 * * [simplify]: Extracting #2: cost 116 inf + 0 310.519 * * [simplify]: Extracting #3: cost 173 inf + 989 310.522 * * [simplify]: Extracting #4: cost 109 inf + 16215 310.531 * * [simplify]: Extracting #5: cost 31 inf + 40092 310.543 * * [simplify]: Extracting #6: cost 1 inf + 50253 310.556 * * [simplify]: Extracting #7: cost 0 inf + 50642 310.568 * [simplify]: Simplified to (- (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 310.568 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 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))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))) (- (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))))) 310.568 * * * * [progress]: [ 420 / 2246 ] simplifiying candidate # 310.569 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 310.569 * * [simplify]: iters left: 6 (20 enodes) 310.575 * * [simplify]: iters left: 5 (76 enodes) 310.591 * * [simplify]: iters left: 4 (149 enodes) 310.620 * * [simplify]: iters left: 3 (320 enodes) 310.699 * * [simplify]: Extracting #0: cost 1 inf + 0 310.699 * * [simplify]: Extracting #1: cost 19 inf + 0 310.699 * * [simplify]: Extracting #2: cost 119 inf + 0 310.700 * * [simplify]: Extracting #3: cost 168 inf + 570 310.701 * * [simplify]: Extracting #4: cost 180 inf + 1594 310.702 * * [simplify]: Extracting #5: cost 143 inf + 6803 310.706 * * [simplify]: Extracting #6: cost 88 inf + 19998 310.716 * * [simplify]: Extracting #7: cost 16 inf + 41850 310.731 * * [simplify]: Extracting #8: cost 0 inf + 46922 310.742 * [simplify]: Simplified to (fma (+ -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)))) 310.742 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (+ -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)))) (fma (- (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 310.743 * [simplify]: Simplifying (fma (- (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 310.743 * * [simplify]: iters left: 6 (15 enodes) 310.747 * * [simplify]: iters left: 5 (56 enodes) 310.757 * * [simplify]: iters left: 4 (109 enodes) 310.781 * * [simplify]: iters left: 3 (271 enodes) 310.853 * * [simplify]: Extracting #0: cost 1 inf + 0 310.853 * * [simplify]: Extracting #1: cost 0 inf + 1 310.853 * [simplify]: Simplified to 0 310.853 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 310.853 * * * * [progress]: [ 421 / 2246 ] simplifiying candidate # 310.854 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 310.854 * * [simplify]: iters left: 6 (20 enodes) 310.860 * * [simplify]: iters left: 5 (78 enodes) 310.873 * * [simplify]: iters left: 4 (113 enodes) 310.897 * * [simplify]: iters left: 3 (174 enodes) 310.927 * * [simplify]: iters left: 2 (272 enodes) 310.980 * * [simplify]: iters left: 1 (381 enodes) 311.063 * * [simplify]: Extracting #0: cost 1 inf + 0 311.063 * * [simplify]: Extracting #1: cost 11 inf + 0 311.063 * * [simplify]: Extracting #2: cost 79 inf + 0 311.064 * * [simplify]: Extracting #3: cost 123 inf + 85 311.064 * * [simplify]: Extracting #4: cost 118 inf + 1191 311.067 * * [simplify]: Extracting #5: cost 80 inf + 11315 311.072 * * [simplify]: Extracting #6: cost 55 inf + 20497 311.081 * * [simplify]: Extracting #7: cost 12 inf + 50957 311.092 * * [simplify]: Extracting #8: cost 0 inf + 61892 311.103 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 311.103 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 311.104 * [simplify]: Simplifying (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 311.104 * * [simplify]: iters left: 6 (14 enodes) 311.111 * * [simplify]: iters left: 5 (53 enodes) 311.120 * * [simplify]: iters left: 4 (76 enodes) 311.135 * * [simplify]: iters left: 3 (134 enodes) 311.159 * * [simplify]: iters left: 2 (194 enodes) 311.196 * * [simplify]: iters left: 1 (293 enodes) 311.246 * * [simplify]: Extracting #0: cost 1 inf + 0 311.246 * * [simplify]: Extracting #1: cost 0 inf + 1 311.246 * [simplify]: Simplified to 0 311.246 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 311.246 * * * * [progress]: [ 422 / 2246 ] simplifiying candidate # 311.246 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 311.246 * * [simplify]: iters left: 6 (19 enodes) 311.253 * * [simplify]: iters left: 5 (69 enodes) 311.268 * * [simplify]: iters left: 4 (95 enodes) 311.283 * * [simplify]: iters left: 3 (137 enodes) 311.305 * * [simplify]: iters left: 2 (199 enodes) 311.344 * * [simplify]: iters left: 1 (246 enodes) 311.389 * * [simplify]: Extracting #0: cost 1 inf + 0 311.389 * * [simplify]: Extracting #1: cost 9 inf + 0 311.389 * * [simplify]: Extracting #2: cost 39 inf + 0 311.389 * * [simplify]: Extracting #3: cost 55 inf + 205 311.390 * * [simplify]: Extracting #4: cost 48 inf + 1647 311.390 * * [simplify]: Extracting #5: cost 41 inf + 2694 311.392 * * [simplify]: Extracting #6: cost 19 inf + 8939 311.396 * * [simplify]: Extracting #7: cost 4 inf + 13784 311.400 * * [simplify]: Extracting #8: cost 1 inf + 14758 311.404 * * [simplify]: Extracting #9: cost 0 inf + 15096 311.410 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 311.410 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 311.411 * [simplify]: Simplifying (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 311.411 * * [simplify]: iters left: 6 (13 enodes) 311.414 * * [simplify]: iters left: 5 (45 enodes) 311.422 * * [simplify]: iters left: 4 (60 enodes) 311.431 * * [simplify]: iters left: 3 (85 enodes) 311.444 * * [simplify]: iters left: 2 (102 enodes) 311.458 * * [simplify]: iters left: 1 (126 enodes) 311.475 * * [simplify]: Extracting #0: cost 1 inf + 0 311.475 * * [simplify]: Extracting #1: cost 0 inf + 1 311.475 * [simplify]: Simplified to 0 311.475 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 311.475 * * * * [progress]: [ 423 / 2246 ] simplifiying candidate # 311.476 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))) 311.476 * * [simplify]: iters left: 6 (23 enodes) 311.482 * * [simplify]: iters left: 5 (92 enodes) 311.499 * * [simplify]: iters left: 4 (179 enodes) 311.536 * * [simplify]: iters left: 3 (360 enodes) 311.613 * * [simplify]: Extracting #0: cost 1 inf + 0 311.613 * * [simplify]: Extracting #1: cost 11 inf + 0 311.613 * * [simplify]: Extracting #2: cost 85 inf + 0 311.614 * * [simplify]: Extracting #3: cost 131 inf + 2 311.616 * * [simplify]: Extracting #4: cost 130 inf + 448 311.617 * * [simplify]: Extracting #5: cost 123 inf + 1300 311.617 * * [simplify]: Extracting #6: cost 120 inf + 1576 311.618 * * [simplify]: Extracting #7: cost 110 inf + 3487 311.623 * * [simplify]: Extracting #8: cost 54 inf + 23997 311.634 * * [simplify]: Extracting #9: cost 2 inf + 47875 311.646 * * [simplify]: Extracting #10: cost 0 inf + 49002 311.658 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 311.659 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))))) 311.659 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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)))))))) 311.659 * * [simplify]: iters left: 6 (17 enodes) 311.664 * * [simplify]: iters left: 5 (69 enodes) 311.676 * * [simplify]: iters left: 4 (135 enodes) 311.708 * * [simplify]: iters left: 3 (301 enodes) 311.775 * * [simplify]: Extracting #0: cost 1 inf + 0 311.775 * * [simplify]: Extracting #1: cost 0 inf + 1 311.775 * [simplify]: Simplified to 0 311.776 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))) 0))) 311.776 * * * * [progress]: [ 424 / 2246 ] simplifiying candidate # 311.776 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 311.776 * * [simplify]: iters left: 6 (22 enodes) 311.783 * * [simplify]: iters left: 5 (86 enodes) 311.797 * * [simplify]: iters left: 4 (142 enodes) 311.820 * * [simplify]: iters left: 3 (232 enodes) 311.863 * * [simplify]: iters left: 2 (350 enodes) 311.937 * * [simplify]: iters left: 1 (480 enodes) 312.072 * * [simplify]: Extracting #0: cost 1 inf + 0 312.072 * * [simplify]: Extracting #1: cost 11 inf + 0 312.072 * * [simplify]: Extracting #2: cost 87 inf + 0 312.073 * * [simplify]: Extracting #3: cost 150 inf + 84 312.073 * * [simplify]: Extracting #4: cost 146 inf + 689 312.074 * * [simplify]: Extracting #5: cost 125 inf + 5208 312.080 * * [simplify]: Extracting #6: cost 46 inf + 36123 312.097 * * [simplify]: Extracting #7: cost 7 inf + 51989 312.110 * * [simplify]: Extracting #8: cost 0 inf + 54754 312.124 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 312.124 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 312.124 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 312.124 * * [simplify]: iters left: 6 (16 enodes) 312.129 * * [simplify]: iters left: 5 (63 enodes) 312.140 * * [simplify]: iters left: 4 (100 enodes) 312.158 * * [simplify]: iters left: 3 (175 enodes) 312.193 * * [simplify]: iters left: 2 (267 enodes) 312.241 * * [simplify]: iters left: 1 (373 enodes) 312.316 * * [simplify]: Extracting #0: cost 1 inf + 0 312.316 * * [simplify]: Extracting #1: cost 0 inf + 1 312.316 * [simplify]: Simplified to 0 312.316 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 312.317 * * * * [progress]: [ 425 / 2246 ] simplifiying candidate # 312.317 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 312.317 * * [simplify]: iters left: 6 (21 enodes) 312.324 * * [simplify]: iters left: 5 (81 enodes) 312.338 * * [simplify]: iters left: 4 (144 enodes) 312.364 * * [simplify]: iters left: 3 (254 enodes) 312.428 * * [simplify]: iters left: 2 (453 enodes) 312.559 * * [simplify]: Extracting #0: cost 1 inf + 0 312.559 * * [simplify]: Extracting #1: cost 13 inf + 0 312.559 * * [simplify]: Extracting #2: cost 66 inf + 0 312.559 * * [simplify]: Extracting #3: cost 121 inf + 206 312.560 * * [simplify]: Extracting #4: cost 116 inf + 915 312.561 * * [simplify]: Extracting #5: cost 110 inf + 1486 312.563 * * [simplify]: Extracting #6: cost 61 inf + 18185 312.574 * * [simplify]: Extracting #7: cost 5 inf + 41206 312.583 * * [simplify]: Extracting #8: cost 0 inf + 43277 312.592 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 312.592 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))))) 312.593 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1))) 312.593 * * [simplify]: iters left: 6 (15 enodes) 312.597 * * [simplify]: iters left: 5 (58 enodes) 312.608 * * [simplify]: iters left: 4 (100 enodes) 312.628 * * [simplify]: iters left: 3 (192 enodes) 312.676 * * [simplify]: iters left: 2 (333 enodes) 312.762 * * [simplify]: Extracting #0: cost 1 inf + 0 312.762 * * [simplify]: Extracting #1: cost 0 inf + 1 312.762 * [simplify]: Simplified to 0 312.762 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 312.762 * * * * [progress]: [ 426 / 2246 ] simplifiying candidate # 312.763 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 312.763 * * [simplify]: iters left: 6 (20 enodes) 312.769 * * [simplify]: iters left: 5 (79 enodes) 312.785 * * [simplify]: iters left: 4 (125 enodes) 312.807 * * [simplify]: iters left: 3 (227 enodes) 312.858 * * [simplify]: iters left: 2 (383 enodes) 312.951 * * [simplify]: Extracting #0: cost 1 inf + 0 312.951 * * [simplify]: Extracting #1: cost 11 inf + 0 312.951 * * [simplify]: Extracting #2: cost 57 inf + 0 312.951 * * [simplify]: Extracting #3: cost 93 inf + 83 312.952 * * [simplify]: Extracting #4: cost 91 inf + 572 312.952 * * [simplify]: Extracting #5: cost 85 inf + 1093 312.953 * * [simplify]: Extracting #6: cost 80 inf + 1622 312.955 * * [simplify]: Extracting #7: cost 36 inf + 14971 312.961 * * [simplify]: Extracting #8: cost 7 inf + 25264 312.968 * * [simplify]: Extracting #9: cost 0 inf + 27790 312.975 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 312.975 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))))) 312.975 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)))) 312.977 * * [simplify]: iters left: 6 (16 enodes) 312.983 * * [simplify]: iters left: 5 (63 enodes) 312.993 * * [simplify]: iters left: 4 (94 enodes) 313.010 * * [simplify]: iters left: 3 (179 enodes) 313.052 * * [simplify]: iters left: 2 (303 enodes) 313.122 * * [simplify]: iters left: 1 (423 enodes) 313.236 * * [simplify]: Extracting #0: cost 1 inf + 0 313.236 * * [simplify]: Extracting #1: cost 0 inf + 1 313.236 * [simplify]: Simplified to 0 313.236 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 313.236 * * * * [progress]: [ 427 / 2246 ] simplifiying candidate # 313.237 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 313.237 * * [simplify]: iters left: 6 (20 enodes) 313.243 * * [simplify]: iters left: 5 (79 enodes) 313.257 * * [simplify]: iters left: 4 (125 enodes) 313.278 * * [simplify]: iters left: 3 (227 enodes) 313.332 * * [simplify]: iters left: 2 (383 enodes) 313.425 * * [simplify]: Extracting #0: cost 1 inf + 0 313.425 * * [simplify]: Extracting #1: cost 11 inf + 0 313.425 * * [simplify]: Extracting #2: cost 57 inf + 0 313.426 * * [simplify]: Extracting #3: cost 93 inf + 83 313.426 * * [simplify]: Extracting #4: cost 91 inf + 572 313.427 * * [simplify]: Extracting #5: cost 85 inf + 1093 313.427 * * [simplify]: Extracting #6: cost 80 inf + 1622 313.430 * * [simplify]: Extracting #7: cost 36 inf + 14971 313.438 * * [simplify]: Extracting #8: cost 7 inf + 25264 313.445 * * [simplify]: Extracting #9: cost 0 inf + 27790 313.452 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 313.452 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))))) 313.452 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)))) 313.453 * * [simplify]: iters left: 6 (16 enodes) 313.458 * * [simplify]: iters left: 5 (63 enodes) 313.469 * * [simplify]: iters left: 4 (94 enodes) 313.487 * * [simplify]: iters left: 3 (179 enodes) 313.530 * * [simplify]: iters left: 2 (303 enodes) 313.602 * * [simplify]: iters left: 1 (423 enodes) 314.012 * * [simplify]: Extracting #0: cost 1 inf + 0 314.012 * * [simplify]: Extracting #1: cost 0 inf + 1 314.012 * [simplify]: Simplified to 0 314.012 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 314.012 * * * * [progress]: [ 428 / 2246 ] simplifiying candidate # 314.012 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 314.012 * * [simplify]: iters left: 6 (21 enodes) 314.019 * * [simplify]: iters left: 5 (81 enodes) 314.032 * * [simplify]: iters left: 4 (144 enodes) 314.059 * * [simplify]: iters left: 3 (254 enodes) 314.122 * * [simplify]: iters left: 2 (453 enodes) 314.251 * * [simplify]: Extracting #0: cost 1 inf + 0 314.251 * * [simplify]: Extracting #1: cost 13 inf + 0 314.252 * * [simplify]: Extracting #2: cost 66 inf + 0 314.252 * * [simplify]: Extracting #3: cost 121 inf + 206 314.255 * * [simplify]: Extracting #4: cost 116 inf + 915 314.256 * * [simplify]: Extracting #5: cost 110 inf + 1486 314.258 * * [simplify]: Extracting #6: cost 61 inf + 18185 314.266 * * [simplify]: Extracting #7: cost 5 inf + 41206 314.275 * * [simplify]: Extracting #8: cost 0 inf + 43277 314.285 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 314.285 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))))) 314.285 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1))) 314.286 * * [simplify]: iters left: 6 (15 enodes) 314.290 * * [simplify]: iters left: 5 (58 enodes) 314.301 * * [simplify]: iters left: 4 (100 enodes) 314.321 * * [simplify]: iters left: 3 (192 enodes) 314.369 * * [simplify]: iters left: 2 (333 enodes) 314.455 * * [simplify]: Extracting #0: cost 1 inf + 0 314.455 * * [simplify]: Extracting #1: cost 0 inf + 1 314.455 * [simplify]: Simplified to 0 314.455 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 314.455 * * * * [progress]: [ 429 / 2246 ] simplifiying candidate # 314.456 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 314.456 * * [simplify]: iters left: 6 (22 enodes) 314.465 * * [simplify]: iters left: 5 (85 enodes) 314.479 * * [simplify]: iters left: 4 (140 enodes) 314.502 * * [simplify]: iters left: 3 (210 enodes) 314.537 * * [simplify]: iters left: 2 (311 enodes) 314.594 * * [simplify]: iters left: 1 (398 enodes) 314.667 * * [simplify]: Extracting #0: cost 1 inf + 0 314.667 * * [simplify]: Extracting #1: cost 11 inf + 0 314.667 * * [simplify]: Extracting #2: cost 54 inf + 0 314.668 * * [simplify]: Extracting #3: cost 84 inf + 368 314.668 * * [simplify]: Extracting #4: cost 85 inf + 976 314.669 * * [simplify]: Extracting #5: cost 81 inf + 1271 314.671 * * [simplify]: Extracting #6: cost 34 inf + 15186 314.678 * * [simplify]: Extracting #7: cost 4 inf + 26268 314.686 * * [simplify]: Extracting #8: cost 0 inf + 27660 314.693 * * [simplify]: Extracting #9: cost 0 inf + 27659 314.700 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 314.700 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 314.701 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 314.701 * * [simplify]: iters left: 6 (16 enodes) 314.705 * * [simplify]: iters left: 5 (62 enodes) 314.716 * * [simplify]: iters left: 4 (99 enodes) 314.732 * * [simplify]: iters left: 3 (150 enodes) 314.758 * * [simplify]: iters left: 2 (222 enodes) 314.793 * * [simplify]: iters left: 1 (302 enodes) 314.843 * * [simplify]: Extracting #0: cost 1 inf + 0 314.843 * * [simplify]: Extracting #1: cost 0 inf + 1 314.843 * [simplify]: Simplified to 0 314.843 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 314.843 * * * * [progress]: [ 430 / 2246 ] simplifiying candidate # 314.843 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 314.844 * * [simplify]: iters left: 6 (20 enodes) 314.850 * * [simplify]: iters left: 5 (76 enodes) 314.861 * * [simplify]: iters left: 4 (111 enodes) 314.879 * * [simplify]: iters left: 3 (161 enodes) 314.906 * * [simplify]: iters left: 2 (238 enodes) 314.948 * * [simplify]: iters left: 1 (298 enodes) 315.005 * * [simplify]: Extracting #0: cost 1 inf + 0 315.005 * * [simplify]: Extracting #1: cost 9 inf + 0 315.005 * * [simplify]: Extracting #2: cost 47 inf + 0 315.006 * * [simplify]: Extracting #3: cost 78 inf + 84 315.006 * * [simplify]: Extracting #4: cost 79 inf + 651 315.007 * * [simplify]: Extracting #5: cost 74 inf + 1269 315.008 * * [simplify]: Extracting #6: cost 39 inf + 10218 315.013 * * [simplify]: Extracting #7: cost 4 inf + 21611 315.019 * * [simplify]: Extracting #8: cost 0 inf + 22641 315.026 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 315.026 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 315.027 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 315.027 * * [simplify]: iters left: 6 (14 enodes) 315.030 * * [simplify]: iters left: 5 (54 enodes) 315.040 * * [simplify]: iters left: 4 (77 enodes) 315.052 * * [simplify]: iters left: 3 (106 enodes) 315.067 * * [simplify]: iters left: 2 (137 enodes) 315.087 * * [simplify]: iters left: 1 (167 enodes) 315.112 * * [simplify]: Extracting #0: cost 1 inf + 0 315.112 * * [simplify]: Extracting #1: cost 0 inf + 1 315.112 * [simplify]: Simplified to 0 315.112 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 315.112 * * * * [progress]: [ 431 / 2246 ] simplifiying candidate # 315.112 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 315.113 * * [simplify]: iters left: 6 (20 enodes) 315.118 * * [simplify]: iters left: 5 (76 enodes) 315.130 * * [simplify]: iters left: 4 (115 enodes) 315.149 * * [simplify]: iters left: 3 (180 enodes) 315.180 * * [simplify]: iters left: 2 (266 enodes) 315.235 * * [simplify]: iters left: 1 (347 enodes) 315.295 * * [simplify]: Extracting #0: cost 1 inf + 0 315.296 * * [simplify]: Extracting #1: cost 11 inf + 0 315.296 * * [simplify]: Extracting #2: cost 44 inf + 0 315.296 * * [simplify]: Extracting #3: cost 61 inf + 205 315.296 * * [simplify]: Extracting #4: cost 60 inf + 1163 315.297 * * [simplify]: Extracting #5: cost 48 inf + 3044 315.300 * * [simplify]: Extracting #6: cost 13 inf + 12866 315.307 * * [simplify]: Extracting #7: cost 0 inf + 16972 315.312 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 315.312 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))))) 315.312 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1))) 315.313 * * [simplify]: iters left: 6 (14 enodes) 315.316 * * [simplify]: iters left: 5 (53 enodes) 315.325 * * [simplify]: iters left: 4 (78 enodes) 315.339 * * [simplify]: iters left: 3 (126 enodes) 315.359 * * [simplify]: iters left: 2 (171 enodes) 315.392 * * [simplify]: iters left: 1 (225 enodes) 315.421 * * [simplify]: Extracting #0: cost 1 inf + 0 315.421 * * [simplify]: Extracting #1: cost 0 inf + 1 315.421 * [simplify]: Simplified to 0 315.422 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 315.422 * * * * [progress]: [ 432 / 2246 ] simplifiying candidate # 315.422 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 315.422 * * [simplify]: iters left: 6 (19 enodes) 315.428 * * [simplify]: iters left: 5 (74 enodes) 315.441 * * [simplify]: iters left: 4 (110 enodes) 315.461 * * [simplify]: iters left: 3 (164 enodes) 315.487 * * [simplify]: iters left: 2 (244 enodes) 315.534 * * [simplify]: iters left: 1 (303 enodes) 315.592 * * [simplify]: Extracting #0: cost 1 inf + 0 315.592 * * [simplify]: Extracting #1: cost 11 inf + 0 315.592 * * [simplify]: Extracting #2: cost 54 inf + 0 315.593 * * [simplify]: Extracting #3: cost 72 inf + 84 315.593 * * [simplify]: Extracting #4: cost 69 inf + 1025 315.594 * * [simplify]: Extracting #5: cost 57 inf + 3106 315.596 * * [simplify]: Extracting #6: cost 23 inf + 12400 315.601 * * [simplify]: Extracting #7: cost 0 inf + 19774 315.606 * * [simplify]: Extracting #8: cost 0 inf + 19773 315.611 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 315.611 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))))) 315.611 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)))) 315.612 * * [simplify]: iters left: 6 (15 enodes) 315.616 * * [simplify]: iters left: 5 (58 enodes) 315.626 * * [simplify]: iters left: 4 (84 enodes) 315.641 * * [simplify]: iters left: 3 (133 enodes) 315.663 * * [simplify]: iters left: 2 (175 enodes) 315.687 * * [simplify]: iters left: 1 (209 enodes) 315.716 * * [simplify]: Extracting #0: cost 1 inf + 0 315.716 * * [simplify]: Extracting #1: cost 0 inf + 1 315.716 * [simplify]: Simplified to 0 315.716 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 315.717 * * * * [progress]: [ 433 / 2246 ] simplifiying candidate # 315.717 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 315.717 * * [simplify]: iters left: 6 (19 enodes) 315.723 * * [simplify]: iters left: 5 (74 enodes) 315.737 * * [simplify]: iters left: 4 (110 enodes) 315.756 * * [simplify]: iters left: 3 (164 enodes) 315.781 * * [simplify]: iters left: 2 (244 enodes) 315.830 * * [simplify]: iters left: 1 (303 enodes) 315.888 * * [simplify]: Extracting #0: cost 1 inf + 0 315.888 * * [simplify]: Extracting #1: cost 11 inf + 0 315.888 * * [simplify]: Extracting #2: cost 54 inf + 0 315.888 * * [simplify]: Extracting #3: cost 72 inf + 84 315.889 * * [simplify]: Extracting #4: cost 69 inf + 1025 315.889 * * [simplify]: Extracting #5: cost 57 inf + 3106 315.892 * * [simplify]: Extracting #6: cost 23 inf + 12400 315.896 * * [simplify]: Extracting #7: cost 0 inf + 19774 315.902 * * [simplify]: Extracting #8: cost 0 inf + 19773 315.907 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 315.907 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))))) 315.907 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)))) 315.907 * * [simplify]: iters left: 6 (15 enodes) 315.911 * * [simplify]: iters left: 5 (58 enodes) 315.921 * * [simplify]: iters left: 4 (84 enodes) 315.935 * * [simplify]: iters left: 3 (133 enodes) 315.957 * * [simplify]: iters left: 2 (175 enodes) 315.981 * * [simplify]: iters left: 1 (209 enodes) 316.009 * * [simplify]: Extracting #0: cost 1 inf + 0 316.009 * * [simplify]: Extracting #1: cost 0 inf + 1 316.009 * [simplify]: Simplified to 0 316.010 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 316.010 * * * * [progress]: [ 434 / 2246 ] simplifiying candidate # 316.010 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 316.010 * * [simplify]: iters left: 6 (20 enodes) 316.018 * * [simplify]: iters left: 5 (76 enodes) 316.030 * * [simplify]: iters left: 4 (115 enodes) 316.049 * * [simplify]: iters left: 3 (180 enodes) 316.076 * * [simplify]: iters left: 2 (266 enodes) 316.132 * * [simplify]: iters left: 1 (347 enodes) 316.192 * * [simplify]: Extracting #0: cost 1 inf + 0 316.192 * * [simplify]: Extracting #1: cost 11 inf + 0 316.192 * * [simplify]: Extracting #2: cost 44 inf + 0 316.193 * * [simplify]: Extracting #3: cost 61 inf + 205 316.193 * * [simplify]: Extracting #4: cost 60 inf + 1163 316.194 * * [simplify]: Extracting #5: cost 48 inf + 3044 316.196 * * [simplify]: Extracting #6: cost 13 inf + 12866 316.201 * * [simplify]: Extracting #7: cost 0 inf + 16972 316.205 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 316.205 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))))) 316.206 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1))) 316.206 * * [simplify]: iters left: 6 (14 enodes) 316.210 * * [simplify]: iters left: 5 (53 enodes) 316.222 * * [simplify]: iters left: 4 (78 enodes) 316.235 * * [simplify]: iters left: 3 (126 enodes) 316.255 * * [simplify]: iters left: 2 (171 enodes) 316.285 * * [simplify]: iters left: 1 (225 enodes) 316.317 * * [simplify]: Extracting #0: cost 1 inf + 0 316.317 * * [simplify]: Extracting #1: cost 0 inf + 1 316.317 * [simplify]: Simplified to 0 316.317 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 316.318 * * * * [progress]: [ 435 / 2246 ] simplifiying candidate # 316.318 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 316.318 * * [simplify]: iters left: 6 (25 enodes) 316.325 * * [simplify]: iters left: 5 (104 enodes) 316.343 * * [simplify]: iters left: 4 (243 enodes) 316.423 * * [simplify]: Extracting #0: cost 1 inf + 0 316.423 * * [simplify]: Extracting #1: cost 11 inf + 0 316.423 * * [simplify]: Extracting #2: cost 153 inf + 0 316.424 * * [simplify]: Extracting #3: cost 274 inf + 2 316.425 * * [simplify]: Extracting #4: cost 269 inf + 1133 316.427 * * [simplify]: Extracting #5: cost 250 inf + 5550 316.429 * * [simplify]: Extracting #6: cost 219 inf + 15643 316.432 * * [simplify]: Extracting #7: cost 198 inf + 22421 316.447 * * [simplify]: Extracting #8: cost 67 inf + 97859 316.473 * * [simplify]: Extracting #9: cost 0 inf + 138545 316.500 * * [simplify]: Extracting #10: cost 0 inf + 138105 316.528 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (/ (cbrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (cbrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))))) 316.528 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (/ (cbrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (cbrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 316.529 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 316.529 * * [simplify]: iters left: 6 (21 enodes) 316.535 * * [simplify]: iters left: 5 (87 enodes) 316.551 * * [simplify]: iters left: 4 (200 enodes) 316.615 * * [simplify]: Extracting #0: cost 1 inf + 0 316.615 * * [simplify]: Extracting #1: cost 25 inf + 0 316.615 * * [simplify]: Extracting #2: cost 150 inf + 0 316.616 * * [simplify]: Extracting #3: cost 243 inf + 1 316.617 * * [simplify]: Extracting #4: cost 245 inf + 365 316.618 * * [simplify]: Extracting #5: cost 226 inf + 4202 316.620 * * [simplify]: Extracting #6: cost 200 inf + 13225 316.625 * * [simplify]: Extracting #7: cost 154 inf + 36777 316.646 * * [simplify]: Extracting #8: cost 20 inf + 116269 316.672 * * [simplify]: Extracting #9: cost 0 inf + 128603 316.697 * [simplify]: Simplified to (- (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 316.697 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) (- (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 316.697 * * * * [progress]: [ 436 / 2246 ] simplifiying candidate # 316.698 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 316.698 * * [simplify]: iters left: 6 (24 enodes) 316.705 * * [simplify]: iters left: 5 (99 enodes) 316.722 * * [simplify]: iters left: 4 (208 enodes) 316.776 * * [simplify]: Extracting #0: cost 1 inf + 0 316.777 * * [simplify]: Extracting #1: cost 11 inf + 0 316.777 * * [simplify]: Extracting #2: cost 115 inf + 0 316.777 * * [simplify]: Extracting #3: cost 201 inf + 1 316.778 * * [simplify]: Extracting #4: cost 196 inf + 1053 316.779 * * [simplify]: Extracting #5: cost 180 inf + 4317 316.781 * * [simplify]: Extracting #6: cost 149 inf + 13971 316.784 * * [simplify]: Extracting #7: cost 123 inf + 22999 316.796 * * [simplify]: Extracting #8: cost 28 inf + 73309 316.812 * * [simplify]: Extracting #9: cost 0 inf + 88893 316.831 * [simplify]: Simplified to (- (* (* (cbrt 1/2) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt 1/2)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 316.831 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (* (cbrt 1/2) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt 1/2)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 316.832 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 316.832 * * [simplify]: iters left: 6 (20 enodes) 316.838 * * [simplify]: iters left: 5 (82 enodes) 316.852 * * [simplify]: iters left: 4 (166 enodes) 316.897 * * [simplify]: Extracting #0: cost 1 inf + 0 316.897 * * [simplify]: Extracting #1: cost 22 inf + 0 316.897 * * [simplify]: Extracting #2: cost 106 inf + 0 316.898 * * [simplify]: Extracting #3: cost 175 inf + 0 316.898 * * [simplify]: Extracting #4: cost 174 inf + 286 316.899 * * [simplify]: Extracting #5: cost 165 inf + 2060 316.900 * * [simplify]: Extracting #6: cost 133 inf + 12055 316.902 * * [simplify]: Extracting #7: cost 124 inf + 14115 316.909 * * [simplify]: Extracting #8: cost 61 inf + 47169 316.923 * * [simplify]: Extracting #9: cost 3 inf + 80053 316.938 * * [simplify]: Extracting #10: cost 0 inf + 81907 316.953 * [simplify]: Simplified to (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 316.953 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))))))) 316.953 * * * * [progress]: [ 437 / 2246 ] simplifiying candidate # 316.953 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 316.954 * * [simplify]: iters left: 6 (23 enodes) 316.961 * * [simplify]: iters left: 5 (93 enodes) 316.979 * * [simplify]: iters left: 4 (211 enodes) 317.042 * * [simplify]: Extracting #0: cost 1 inf + 0 317.042 * * [simplify]: Extracting #1: cost 13 inf + 0 317.042 * * [simplify]: Extracting #2: cost 134 inf + 0 317.043 * * [simplify]: Extracting #3: cost 198 inf + 1 317.044 * * [simplify]: Extracting #4: cost 189 inf + 1657 317.045 * * [simplify]: Extracting #5: cost 172 inf + 5417 317.048 * * [simplify]: Extracting #6: cost 116 inf + 23933 317.054 * * [simplify]: Extracting #7: cost 79 inf + 39039 317.067 * * [simplify]: Extracting #8: cost 9 inf + 73939 317.081 * * [simplify]: Extracting #9: cost 0 inf + 78781 317.095 * [simplify]: Simplified to (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 317.095 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 317.096 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 317.096 * * [simplify]: iters left: 6 (19 enodes) 317.101 * * [simplify]: iters left: 5 (76 enodes) 317.116 * * [simplify]: iters left: 4 (173 enodes) 317.166 * * [simplify]: Extracting #0: cost 1 inf + 0 317.166 * * [simplify]: Extracting #1: cost 14 inf + 0 317.166 * * [simplify]: Extracting #2: cost 90 inf + 0 317.167 * * [simplify]: Extracting #3: cost 150 inf + 1 317.167 * * [simplify]: Extracting #4: cost 151 inf + 286 317.168 * * [simplify]: Extracting #5: cost 139 inf + 2371 317.169 * * [simplify]: Extracting #6: cost 93 inf + 16977 317.178 * * [simplify]: Extracting #7: cost 13 inf + 53665 317.191 * * [simplify]: Extracting #8: cost 0 inf + 59778 317.201 * [simplify]: Simplified to (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 317.202 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 317.202 * * * * [progress]: [ 438 / 2246 ] simplifiying candidate # 317.202 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 317.202 * * [simplify]: iters left: 6 (22 enodes) 317.209 * * [simplify]: iters left: 5 (92 enodes) 317.226 * * [simplify]: iters left: 4 (168 enodes) 317.270 * * [simplify]: iters left: 3 (470 enodes) 317.510 * * [simplify]: Extracting #0: cost 1 inf + 0 317.510 * * [simplify]: Extracting #1: cost 25 inf + 0 317.511 * * [simplify]: Extracting #2: cost 227 inf + 0 317.512 * * [simplify]: Extracting #3: cost 385 inf + 1900 317.514 * * [simplify]: Extracting #4: cost 369 inf + 5296 317.519 * * [simplify]: Extracting #5: cost 297 inf + 29403 317.533 * * [simplify]: Extracting #6: cost 131 inf + 97607 317.567 * * [simplify]: Extracting #7: cost 12 inf + 154704 317.600 * * [simplify]: Extracting #8: cost 0 inf + 160010 317.632 * [simplify]: Simplified to (* (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))))) 317.633 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 317.633 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 317.633 * * [simplify]: iters left: 6 (20 enodes) 317.639 * * [simplify]: iters left: 5 (82 enodes) 317.656 * * [simplify]: iters left: 4 (138 enodes) 317.689 * * [simplify]: iters left: 3 (402 enodes) 317.881 * * [simplify]: Extracting #0: cost 1 inf + 0 317.881 * * [simplify]: Extracting #1: cost 0 inf + 1 317.881 * [simplify]: Simplified to 0 317.881 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 0))) 317.881 * * * * [progress]: [ 439 / 2246 ] simplifiying candidate # 317.882 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 317.882 * * [simplify]: iters left: 6 (22 enodes) 317.892 * * [simplify]: iters left: 5 (92 enodes) 317.909 * * [simplify]: iters left: 4 (168 enodes) 317.951 * * [simplify]: iters left: 3 (470 enodes) 318.189 * * [simplify]: Extracting #0: cost 1 inf + 0 318.189 * * [simplify]: Extracting #1: cost 25 inf + 0 318.190 * * [simplify]: Extracting #2: cost 227 inf + 0 318.192 * * [simplify]: Extracting #3: cost 385 inf + 1900 318.194 * * [simplify]: Extracting #4: cost 369 inf + 5296 318.198 * * [simplify]: Extracting #5: cost 297 inf + 29403 318.213 * * [simplify]: Extracting #6: cost 131 inf + 97607 318.243 * * [simplify]: Extracting #7: cost 12 inf + 154704 318.278 * * [simplify]: Extracting #8: cost 0 inf + 160010 318.311 * [simplify]: Simplified to (* (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))))) 318.311 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 318.312 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 318.312 * * [simplify]: iters left: 6 (20 enodes) 318.318 * * [simplify]: iters left: 5 (82 enodes) 318.332 * * [simplify]: iters left: 4 (138 enodes) 318.367 * * [simplify]: iters left: 3 (402 enodes) 318.558 * * [simplify]: Extracting #0: cost 1 inf + 0 318.558 * * [simplify]: Extracting #1: cost 0 inf + 1 318.558 * [simplify]: Simplified to 0 318.559 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 0))) 318.559 * * * * [progress]: [ 440 / 2246 ] simplifiying candidate # 318.559 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 318.559 * * [simplify]: iters left: 6 (23 enodes) 318.566 * * [simplify]: iters left: 5 (93 enodes) 318.587 * * [simplify]: iters left: 4 (211 enodes) 318.650 * * [simplify]: Extracting #0: cost 1 inf + 0 318.650 * * [simplify]: Extracting #1: cost 13 inf + 0 318.651 * * [simplify]: Extracting #2: cost 134 inf + 0 318.651 * * [simplify]: Extracting #3: cost 198 inf + 1 318.652 * * [simplify]: Extracting #4: cost 189 inf + 1657 318.653 * * [simplify]: Extracting #5: cost 172 inf + 5417 318.656 * * [simplify]: Extracting #6: cost 116 inf + 23933 318.663 * * [simplify]: Extracting #7: cost 79 inf + 39039 318.676 * * [simplify]: Extracting #8: cost 9 inf + 73939 318.690 * * [simplify]: Extracting #9: cost 0 inf + 78781 318.704 * [simplify]: Simplified to (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 318.704 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 318.704 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 318.704 * * [simplify]: iters left: 6 (19 enodes) 318.710 * * [simplify]: iters left: 5 (76 enodes) 318.724 * * [simplify]: iters left: 4 (173 enodes) 318.774 * * [simplify]: Extracting #0: cost 1 inf + 0 318.774 * * [simplify]: Extracting #1: cost 14 inf + 0 318.775 * * [simplify]: Extracting #2: cost 90 inf + 0 318.775 * * [simplify]: Extracting #3: cost 150 inf + 1 318.775 * * [simplify]: Extracting #4: cost 151 inf + 286 318.776 * * [simplify]: Extracting #5: cost 139 inf + 2371 318.778 * * [simplify]: Extracting #6: cost 93 inf + 16977 318.786 * * [simplify]: Extracting #7: cost 13 inf + 53665 318.799 * * [simplify]: Extracting #8: cost 0 inf + 59778 318.810 * [simplify]: Simplified to (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 318.810 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 318.810 * * * * [progress]: [ 441 / 2246 ] simplifiying candidate # 318.810 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 318.811 * * [simplify]: iters left: 6 (24 enodes) 318.818 * * [simplify]: iters left: 5 (98 enodes) 318.835 * * [simplify]: iters left: 4 (209 enodes) 318.891 * * [simplify]: Extracting #0: cost 1 inf + 0 318.891 * * [simplify]: Extracting #1: cost 11 inf + 0 318.891 * * [simplify]: Extracting #2: cost 112 inf + 0 318.892 * * [simplify]: Extracting #3: cost 199 inf + 1 318.893 * * [simplify]: Extracting #4: cost 196 inf + 649 318.894 * * [simplify]: Extracting #5: cost 174 inf + 5366 318.896 * * [simplify]: Extracting #6: cost 136 inf + 18810 318.909 * * [simplify]: Extracting #7: cost 31 inf + 74980 318.928 * * [simplify]: Extracting #8: cost 0 inf + 93178 318.947 * * [simplify]: Extracting #9: cost 0 inf + 92178 318.967 * * [simplify]: Extracting #10: cost 0 inf + 91978 318.986 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (cbrt 1/2))) (/ (* (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x)))) 318.986 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (cbrt 1/2))) (/ (* (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x)))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 318.987 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 318.987 * * [simplify]: iters left: 6 (20 enodes) 318.992 * * [simplify]: iters left: 5 (81 enodes) 319.007 * * [simplify]: iters left: 4 (169 enodes) 319.053 * * [simplify]: Extracting #0: cost 1 inf + 0 319.053 * * [simplify]: Extracting #1: cost 22 inf + 0 319.053 * * [simplify]: Extracting #2: cost 104 inf + 0 319.053 * * [simplify]: Extracting #3: cost 169 inf + 0 319.054 * * [simplify]: Extracting #4: cost 160 inf + 1174 319.055 * * [simplify]: Extracting #5: cost 140 inf + 5986 319.056 * * [simplify]: Extracting #6: cost 136 inf + 7316 319.058 * * [simplify]: Extracting #7: cost 132 inf + 7868 319.063 * * [simplify]: Extracting #8: cost 72 inf + 39468 319.078 * * [simplify]: Extracting #9: cost 3 inf + 80030 319.095 * * [simplify]: Extracting #10: cost 0 inf + 81164 319.111 * * [simplify]: Extracting #11: cost 0 inf + 80644 319.129 * * [simplify]: Extracting #12: cost 0 inf + 80484 319.146 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) 319.146 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))))))) 319.146 * * * * [progress]: [ 442 / 2246 ] simplifiying candidate # 319.146 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 319.147 * * [simplify]: iters left: 6 (23 enodes) 319.154 * * [simplify]: iters left: 5 (92 enodes) 319.169 * * [simplify]: iters left: 4 (177 enodes) 319.211 * * [simplify]: iters left: 3 (476 enodes) 319.393 * * [simplify]: Extracting #0: cost 1 inf + 0 319.393 * * [simplify]: Extracting #1: cost 11 inf + 0 319.393 * * [simplify]: Extracting #2: cost 167 inf + 0 319.394 * * [simplify]: Extracting #3: cost 337 inf + 1 319.396 * * [simplify]: Extracting #4: cost 323 inf + 2910 319.398 * * [simplify]: Extracting #5: cost 299 inf + 8303 319.402 * * [simplify]: Extracting #6: cost 254 inf + 20672 319.409 * * [simplify]: Extracting #7: cost 208 inf + 39260 319.436 * * [simplify]: Extracting #8: cost 47 inf + 118078 319.472 * * [simplify]: Extracting #9: cost 0 inf + 140964 319.506 * * [simplify]: Extracting #10: cost 0 inf + 140884 319.539 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 319.540 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 319.540 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 319.540 * * [simplify]: iters left: 6 (19 enodes) 319.545 * * [simplify]: iters left: 5 (75 enodes) 319.559 * * [simplify]: iters left: 4 (138 enodes) 319.590 * * [simplify]: iters left: 3 (364 enodes) 319.722 * * [simplify]: Extracting #0: cost 1 inf + 0 319.722 * * [simplify]: Extracting #1: cost 0 inf + 1 319.722 * [simplify]: Simplified to 0 319.722 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 319.722 * * * * [progress]: [ 443 / 2246 ] simplifiying candidate # 319.723 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 319.723 * * [simplify]: iters left: 6 (22 enodes) 319.730 * * [simplify]: iters left: 5 (88 enodes) 319.749 * * [simplify]: iters left: 4 (171 enodes) 319.789 * * [simplify]: iters left: 3 (434 enodes) 319.991 * * [simplify]: Extracting #0: cost 1 inf + 0 319.991 * * [simplify]: Extracting #1: cost 18 inf + 0 319.991 * * [simplify]: Extracting #2: cost 125 inf + 0 319.992 * * [simplify]: Extracting #3: cost 250 inf + 730 319.993 * * [simplify]: Extracting #4: cost 239 inf + 3394 319.995 * * [simplify]: Extracting #5: cost 222 inf + 7144 320.003 * * [simplify]: Extracting #6: cost 130 inf + 38057 320.021 * * [simplify]: Extracting #7: cost 17 inf + 87021 320.043 * * [simplify]: Extracting #8: cost 0 inf + 94772 320.069 * * [simplify]: Extracting #9: cost 0 inf + 94747 320.090 * [simplify]: Simplified to (* (cbrt 1/2) (- (* (cbrt 1/2) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 320.091 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (cbrt 1/2) (- (* (cbrt 1/2) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))))) 320.091 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1))) 320.091 * * [simplify]: iters left: 6 (18 enodes) 320.096 * * [simplify]: iters left: 5 (71 enodes) 320.109 * * [simplify]: iters left: 4 (130 enodes) 320.141 * * [simplify]: iters left: 3 (341 enodes) 320.275 * * [simplify]: Extracting #0: cost 1 inf + 0 320.275 * * [simplify]: Extracting #1: cost 0 inf + 1 320.275 * [simplify]: Simplified to 0 320.275 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 0))) 320.275 * * * * [progress]: [ 444 / 2246 ] simplifiying candidate # 320.276 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) 320.276 * * [simplify]: iters left: 6 (21 enodes) 320.282 * * [simplify]: iters left: 5 (86 enodes) 320.297 * * [simplify]: iters left: 4 (140 enodes) 320.328 * * [simplify]: iters left: 3 (324 enodes) 320.436 * * [simplify]: Extracting #0: cost 1 inf + 0 320.436 * * [simplify]: Extracting #1: cost 18 inf + 0 320.436 * * [simplify]: Extracting #2: cost 124 inf + 0 320.437 * * [simplify]: Extracting #3: cost 216 inf + 608 320.441 * * [simplify]: Extracting #4: cost 202 inf + 3272 320.442 * * [simplify]: Extracting #5: cost 188 inf + 6250 320.448 * * [simplify]: Extracting #6: cost 102 inf + 34974 320.463 * * [simplify]: Extracting #7: cost 15 inf + 73225 320.481 * * [simplify]: Extracting #8: cost 0 inf + 80140 320.499 * * [simplify]: Extracting #9: cost 0 inf + 80115 320.517 * [simplify]: Simplified to (* (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (* (cbrt 1/2) (cbrt 1/2)) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 320.517 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (* (cbrt 1/2) (cbrt 1/2)) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))))) 320.517 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)))) 320.518 * * [simplify]: iters left: 6 (19 enodes) 320.524 * * [simplify]: iters left: 5 (76 enodes) 320.537 * * [simplify]: iters left: 4 (115 enodes) 320.561 * * [simplify]: iters left: 3 (283 enodes) 320.662 * * [simplify]: Extracting #0: cost 1 inf + 0 320.662 * * [simplify]: Extracting #1: cost 28 inf + 0 320.663 * * [simplify]: Extracting #2: cost 102 inf + 1 320.663 * * [simplify]: Extracting #3: cost 142 inf + 691 320.664 * * [simplify]: Extracting #4: cost 131 inf + 3683 320.666 * * [simplify]: Extracting #5: cost 102 inf + 11388 320.669 * * [simplify]: Extracting #6: cost 97 inf + 12896 320.677 * * [simplify]: Extracting #7: cost 45 inf + 33427 320.690 * * [simplify]: Extracting #8: cost 0 inf + 53907 320.704 * * [simplify]: Extracting #9: cost 0 inf + 53757 320.718 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 320.718 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 320.718 * * * * [progress]: [ 445 / 2246 ] simplifiying candidate # 320.718 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) 320.719 * * [simplify]: iters left: 6 (21 enodes) 320.725 * * [simplify]: iters left: 5 (86 enodes) 320.742 * * [simplify]: iters left: 4 (140 enodes) 320.771 * * [simplify]: iters left: 3 (324 enodes) 320.880 * * [simplify]: Extracting #0: cost 1 inf + 0 320.880 * * [simplify]: Extracting #1: cost 18 inf + 0 320.880 * * [simplify]: Extracting #2: cost 124 inf + 0 320.881 * * [simplify]: Extracting #3: cost 216 inf + 608 320.882 * * [simplify]: Extracting #4: cost 202 inf + 3272 320.884 * * [simplify]: Extracting #5: cost 188 inf + 6250 320.890 * * [simplify]: Extracting #6: cost 102 inf + 34974 320.905 * * [simplify]: Extracting #7: cost 15 inf + 73225 320.923 * * [simplify]: Extracting #8: cost 0 inf + 80140 320.943 * * [simplify]: Extracting #9: cost 0 inf + 80115 320.961 * [simplify]: Simplified to (* (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (* (cbrt 1/2) (cbrt 1/2)) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 320.961 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (* (cbrt 1/2) (cbrt 1/2)) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))))) 320.962 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)))) 320.962 * * [simplify]: iters left: 6 (19 enodes) 320.967 * * [simplify]: iters left: 5 (76 enodes) 320.980 * * [simplify]: iters left: 4 (115 enodes) 321.004 * * [simplify]: iters left: 3 (283 enodes) 321.105 * * [simplify]: Extracting #0: cost 1 inf + 0 321.105 * * [simplify]: Extracting #1: cost 28 inf + 0 321.105 * * [simplify]: Extracting #2: cost 102 inf + 1 321.106 * * [simplify]: Extracting #3: cost 142 inf + 691 321.107 * * [simplify]: Extracting #4: cost 131 inf + 3683 321.109 * * [simplify]: Extracting #5: cost 102 inf + 11388 321.112 * * [simplify]: Extracting #6: cost 97 inf + 12896 321.119 * * [simplify]: Extracting #7: cost 45 inf + 33427 321.133 * * [simplify]: Extracting #8: cost 0 inf + 53907 321.149 * * [simplify]: Extracting #9: cost 0 inf + 53757 321.163 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 321.163 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 321.163 * * * * [progress]: [ 446 / 2246 ] simplifiying candidate # 321.163 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 321.163 * * [simplify]: iters left: 6 (22 enodes) 321.171 * * [simplify]: iters left: 5 (88 enodes) 321.186 * * [simplify]: iters left: 4 (171 enodes) 321.228 * * [simplify]: iters left: 3 (434 enodes) 321.429 * * [simplify]: Extracting #0: cost 1 inf + 0 321.429 * * [simplify]: Extracting #1: cost 18 inf + 0 321.429 * * [simplify]: Extracting #2: cost 125 inf + 0 321.430 * * [simplify]: Extracting #3: cost 250 inf + 730 321.431 * * [simplify]: Extracting #4: cost 239 inf + 3394 321.433 * * [simplify]: Extracting #5: cost 222 inf + 7144 321.440 * * [simplify]: Extracting #6: cost 130 inf + 38057 321.462 * * [simplify]: Extracting #7: cost 17 inf + 87021 321.484 * * [simplify]: Extracting #8: cost 0 inf + 94772 321.506 * * [simplify]: Extracting #9: cost 0 inf + 94747 321.528 * [simplify]: Simplified to (* (cbrt 1/2) (- (* (cbrt 1/2) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 321.528 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (cbrt 1/2) (- (* (cbrt 1/2) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))))) 321.528 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1))) 321.529 * * [simplify]: iters left: 6 (18 enodes) 321.534 * * [simplify]: iters left: 5 (71 enodes) 321.547 * * [simplify]: iters left: 4 (130 enodes) 321.577 * * [simplify]: iters left: 3 (341 enodes) 321.710 * * [simplify]: Extracting #0: cost 1 inf + 0 321.710 * * [simplify]: Extracting #1: cost 0 inf + 1 321.710 * [simplify]: Simplified to 0 321.710 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 0))) 321.710 * * * * [progress]: [ 447 / 2246 ] simplifiying candidate # 321.710 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 321.711 * * [simplify]: iters left: 6 (23 enodes) 321.717 * * [simplify]: iters left: 5 (93 enodes) 321.735 * * [simplify]: iters left: 4 (189 enodes) 321.782 * * [simplify]: Extracting #0: cost 1 inf + 0 321.782 * * [simplify]: Extracting #1: cost 13 inf + 0 321.783 * * [simplify]: Extracting #2: cost 127 inf + 0 321.783 * * [simplify]: Extracting #3: cost 251 inf + 83 321.784 * * [simplify]: Extracting #4: cost 208 inf + 6392 321.786 * * [simplify]: Extracting #5: cost 191 inf + 10085 321.789 * * [simplify]: Extracting #6: cost 187 inf + 10975 321.792 * * [simplify]: Extracting #7: cost 157 inf + 22795 321.805 * * [simplify]: Extracting #8: cost 35 inf + 83191 321.823 * * [simplify]: Extracting #9: cost 0 inf + 100781 321.842 * * [simplify]: Extracting #10: cost 0 inf + 100701 321.860 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (cbrt 1/2))) (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (hypot 1 x))) 321.861 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (cbrt 1/2))) (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (hypot 1 x))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 321.861 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 321.861 * * [simplify]: iters left: 6 (19 enodes) 321.866 * * [simplify]: iters left: 5 (76 enodes) 321.882 * * [simplify]: iters left: 4 (163 enodes) 321.924 * * [simplify]: iters left: 3 (466 enodes) 322.149 * * [simplify]: Extracting #0: cost 1 inf + 0 322.149 * * [simplify]: Extracting #1: cost 0 inf + 1 322.149 * [simplify]: Simplified to 0 322.149 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 322.149 * * * * [progress]: [ 448 / 2246 ] simplifiying candidate # 322.149 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 322.149 * * [simplify]: iters left: 6 (22 enodes) 322.156 * * [simplify]: iters left: 5 (88 enodes) 322.174 * * [simplify]: iters left: 4 (158 enodes) 322.209 * * [simplify]: iters left: 3 (394 enodes) 322.342 * * [simplify]: Extracting #0: cost 1 inf + 0 322.342 * * [simplify]: Extracting #1: cost 15 inf + 0 322.342 * * [simplify]: Extracting #2: cost 120 inf + 0 322.343 * * [simplify]: Extracting #3: cost 227 inf + 690 322.345 * * [simplify]: Extracting #4: cost 192 inf + 6830 322.352 * * [simplify]: Extracting #5: cost 136 inf + 22927 322.367 * * [simplify]: Extracting #6: cost 20 inf + 73015 322.387 * * [simplify]: Extracting #7: cost 0 inf + 82135 322.408 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 322.408 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 322.408 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 322.409 * * [simplify]: iters left: 6 (18 enodes) 322.414 * * [simplify]: iters left: 5 (71 enodes) 322.426 * * [simplify]: iters left: 4 (132 enodes) 322.457 * * [simplify]: iters left: 3 (327 enodes) 322.580 * * [simplify]: Extracting #0: cost 1 inf + 0 322.580 * * [simplify]: Extracting #1: cost 0 inf + 1 322.580 * [simplify]: Simplified to 0 322.580 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 322.580 * * * * [progress]: [ 449 / 2246 ] simplifiying candidate # 322.581 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 322.581 * * [simplify]: iters left: 6 (21 enodes) 322.587 * * [simplify]: iters left: 5 (79 enodes) 322.600 * * [simplify]: iters left: 4 (158 enodes) 322.638 * * [simplify]: iters left: 3 (353 enodes) 322.744 * * [simplify]: Extracting #0: cost 1 inf + 0 322.745 * * [simplify]: Extracting #1: cost 28 inf + 0 322.745 * * [simplify]: Extracting #2: cost 125 inf + 1 322.745 * * [simplify]: Extracting #3: cost 143 inf + 691 322.746 * * [simplify]: Extracting #4: cost 134 inf + 2301 322.748 * * [simplify]: Extracting #5: cost 116 inf + 5946 322.753 * * [simplify]: Extracting #6: cost 41 inf + 31765 322.765 * * [simplify]: Extracting #7: cost 2 inf + 48087 322.778 * * [simplify]: Extracting #8: cost 0 inf + 48983 322.790 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 322.790 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))))) 322.790 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1))) 322.790 * * [simplify]: iters left: 6 (17 enodes) 322.795 * * [simplify]: iters left: 5 (62 enodes) 322.806 * * [simplify]: iters left: 4 (117 enodes) 322.833 * * [simplify]: iters left: 3 (259 enodes) 322.907 * * [simplify]: Extracting #0: cost 1 inf + 0 322.907 * * [simplify]: Extracting #1: cost 0 inf + 1 322.907 * [simplify]: Simplified to 0 322.907 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 322.907 * * * * [progress]: [ 450 / 2246 ] simplifiying candidate # 322.908 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 322.908 * * [simplify]: iters left: 6 (20 enodes) 322.914 * * [simplify]: iters left: 5 (79 enodes) 322.927 * * [simplify]: iters left: 4 (151 enodes) 322.962 * * [simplify]: iters left: 3 (345 enodes) 323.073 * * [simplify]: Extracting #0: cost 1 inf + 0 323.073 * * [simplify]: Extracting #1: cost 26 inf + 0 323.074 * * [simplify]: Extracting #2: cost 133 inf + 1 323.074 * * [simplify]: Extracting #3: cost 161 inf + 529 323.075 * * [simplify]: Extracting #4: cost 147 inf + 3260 323.077 * * [simplify]: Extracting #5: cost 121 inf + 8552 323.084 * * [simplify]: Extracting #6: cost 40 inf + 39207 323.097 * * [simplify]: Extracting #7: cost 1 inf + 54631 323.111 * * [simplify]: Extracting #8: cost 0 inf + 55004 323.125 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 323.125 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))))) 323.125 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)))) 323.125 * * [simplify]: iters left: 6 (18 enodes) 323.131 * * [simplify]: iters left: 5 (71 enodes) 323.143 * * [simplify]: iters left: 4 (123 enodes) 323.169 * * [simplify]: iters left: 3 (278 enodes) 323.251 * * [simplify]: Extracting #0: cost 1 inf + 0 323.251 * * [simplify]: Extracting #1: cost 0 inf + 1 323.251 * [simplify]: Simplified to 0 323.251 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 0))) 323.251 * * * * [progress]: [ 451 / 2246 ] simplifiying candidate # 323.252 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 323.252 * * [simplify]: iters left: 6 (20 enodes) 323.259 * * [simplify]: iters left: 5 (79 enodes) 323.272 * * [simplify]: iters left: 4 (151 enodes) 323.307 * * [simplify]: iters left: 3 (345 enodes) 323.419 * * [simplify]: Extracting #0: cost 1 inf + 0 323.420 * * [simplify]: Extracting #1: cost 26 inf + 0 323.420 * * [simplify]: Extracting #2: cost 133 inf + 1 323.421 * * [simplify]: Extracting #3: cost 161 inf + 529 323.422 * * [simplify]: Extracting #4: cost 147 inf + 3260 323.423 * * [simplify]: Extracting #5: cost 121 inf + 8552 323.431 * * [simplify]: Extracting #6: cost 40 inf + 39207 323.444 * * [simplify]: Extracting #7: cost 1 inf + 54631 323.457 * * [simplify]: Extracting #8: cost 0 inf + 55004 323.471 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 323.471 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))))) 323.471 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)))) 323.472 * * [simplify]: iters left: 6 (18 enodes) 323.480 * * [simplify]: iters left: 5 (71 enodes) 323.492 * * [simplify]: iters left: 4 (123 enodes) 323.516 * * [simplify]: iters left: 3 (278 enodes) 323.598 * * [simplify]: Extracting #0: cost 1 inf + 0 323.598 * * [simplify]: Extracting #1: cost 0 inf + 1 323.598 * [simplify]: Simplified to 0 323.598 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 0))) 323.598 * * * * [progress]: [ 452 / 2246 ] simplifiying candidate # 323.599 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 323.599 * * [simplify]: iters left: 6 (21 enodes) 323.608 * * [simplify]: iters left: 5 (79 enodes) 323.620 * * [simplify]: iters left: 4 (158 enodes) 323.654 * * [simplify]: iters left: 3 (353 enodes) 323.758 * * [simplify]: Extracting #0: cost 1 inf + 0 323.758 * * [simplify]: Extracting #1: cost 28 inf + 0 323.758 * * [simplify]: Extracting #2: cost 125 inf + 1 323.759 * * [simplify]: Extracting #3: cost 143 inf + 691 323.760 * * [simplify]: Extracting #4: cost 134 inf + 2301 323.761 * * [simplify]: Extracting #5: cost 116 inf + 5946 323.767 * * [simplify]: Extracting #6: cost 41 inf + 31765 323.778 * * [simplify]: Extracting #7: cost 2 inf + 48087 323.791 * * [simplify]: Extracting #8: cost 0 inf + 48983 323.805 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 323.805 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))))) 323.806 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1))) 323.806 * * [simplify]: iters left: 6 (17 enodes) 323.810 * * [simplify]: iters left: 5 (62 enodes) 323.821 * * [simplify]: iters left: 4 (117 enodes) 323.844 * * [simplify]: iters left: 3 (259 enodes) 323.917 * * [simplify]: Extracting #0: cost 1 inf + 0 323.917 * * [simplify]: Extracting #1: cost 0 inf + 1 323.917 * [simplify]: Simplified to 0 323.917 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 323.917 * * * * [progress]: [ 453 / 2246 ] simplifiying candidate # 323.917 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 323.918 * * [simplify]: iters left: 6 (26 enodes) 323.925 * * [simplify]: iters left: 5 (103 enodes) 323.945 * * [simplify]: iters left: 4 (208 enodes) 323.992 * * [simplify]: Extracting #0: cost 1 inf + 0 323.992 * * [simplify]: Extracting #1: cost 11 inf + 0 323.993 * * [simplify]: Extracting #2: cost 114 inf + 0 323.993 * * [simplify]: Extracting #3: cost 202 inf + 1 323.994 * * [simplify]: Extracting #4: cost 198 inf + 732 323.995 * * [simplify]: Extracting #5: cost 174 inf + 5562 323.998 * * [simplify]: Extracting #6: cost 134 inf + 21402 324.014 * * [simplify]: Extracting #7: cost 30 inf + 77314 324.032 * * [simplify]: Extracting #8: cost 0 inf + 93494 324.050 * * [simplify]: Extracting #9: cost 0 inf + 93214 324.068 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (cbrt 1/2))) (/ (* (/ (sqrt 1/2) (* (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (sqrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 324.068 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (cbrt 1/2))) (/ (* (/ (sqrt 1/2) (* (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (sqrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 324.069 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 324.069 * * [simplify]: iters left: 6 (20 enodes) 324.074 * * [simplify]: iters left: 5 (80 enodes) 324.088 * * [simplify]: iters left: 4 (163 enodes) 324.129 * * [simplify]: iters left: 3 (493 enodes) 324.340 * * [simplify]: Extracting #0: cost 1 inf + 0 324.340 * * [simplify]: Extracting #1: cost 0 inf + 1 324.340 * [simplify]: Simplified to 0 324.340 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 324.340 * * * * [progress]: [ 454 / 2246 ] simplifiying candidate # 324.340 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 324.341 * * [simplify]: iters left: 6 (25 enodes) 324.349 * * [simplify]: iters left: 5 (98 enodes) 324.365 * * [simplify]: iters left: 4 (177 enodes) 324.404 * * [simplify]: iters left: 3 (433 enodes) 324.528 * * [simplify]: Extracting #0: cost 1 inf + 0 324.528 * * [simplify]: Extracting #1: cost 11 inf + 0 324.528 * * [simplify]: Extracting #2: cost 126 inf + 0 324.529 * * [simplify]: Extracting #3: cost 227 inf + 2 324.530 * * [simplify]: Extracting #4: cost 223 inf + 815 324.532 * * [simplify]: Extracting #5: cost 203 inf + 4671 324.534 * * [simplify]: Extracting #6: cost 177 inf + 11235 324.538 * * [simplify]: Extracting #7: cost 150 inf + 21442 324.556 * * [simplify]: Extracting #8: cost 25 inf + 78974 324.578 * * [simplify]: Extracting #9: cost 0 inf + 91266 324.602 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 324.602 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 324.603 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 324.603 * * [simplify]: iters left: 6 (19 enodes) 324.608 * * [simplify]: iters left: 5 (75 enodes) 324.621 * * [simplify]: iters left: 4 (134 enodes) 324.650 * * [simplify]: iters left: 3 (346 enodes) 324.755 * * [simplify]: Extracting #0: cost 1 inf + 0 324.755 * * [simplify]: Extracting #1: cost 0 inf + 1 324.755 * [simplify]: Simplified to 0 324.755 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 324.756 * * * * [progress]: [ 455 / 2246 ] simplifiying candidate # 324.756 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 324.756 * * [simplify]: iters left: 6 (24 enodes) 324.764 * * [simplify]: iters left: 5 (93 enodes) 324.780 * * [simplify]: iters left: 4 (170 enodes) 324.819 * * [simplify]: iters left: 3 (423 enodes) 324.960 * * [simplify]: Extracting #0: cost 1 inf + 0 324.960 * * [simplify]: Extracting #1: cost 11 inf + 0 324.960 * * [simplify]: Extracting #2: cost 105 inf + 0 324.961 * * [simplify]: Extracting #3: cost 195 inf + 1 324.961 * * [simplify]: Extracting #4: cost 188 inf + 896 324.963 * * [simplify]: Extracting #5: cost 167 inf + 4378 324.968 * * [simplify]: Extracting #6: cost 105 inf + 24994 324.986 * * [simplify]: Extracting #7: cost 13 inf + 61735 325.002 * * [simplify]: Extracting #8: cost 0 inf + 67305 325.019 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (/ (/ -1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x)))) 325.019 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (/ (/ -1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x)))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 325.019 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 325.020 * * [simplify]: iters left: 6 (18 enodes) 325.024 * * [simplify]: iters left: 5 (70 enodes) 325.037 * * [simplify]: iters left: 4 (126 enodes) 325.066 * * [simplify]: iters left: 3 (322 enodes) 325.169 * * [simplify]: Extracting #0: cost 1 inf + 0 325.169 * * [simplify]: Extracting #1: cost 0 inf + 1 325.169 * [simplify]: Simplified to 0 325.169 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 325.170 * * * * [progress]: [ 456 / 2246 ] simplifiying candidate # 325.170 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 325.170 * * [simplify]: iters left: 6 (23 enodes) 325.180 * * [simplify]: iters left: 5 (91 enodes) 325.195 * * [simplify]: iters left: 4 (146 enodes) 325.224 * * [simplify]: iters left: 3 (330 enodes) 325.315 * * [simplify]: Extracting #0: cost 1 inf + 0 325.315 * * [simplify]: Extracting #1: cost 11 inf + 0 325.315 * * [simplify]: Extracting #2: cost 90 inf + 0 325.316 * * [simplify]: Extracting #3: cost 169 inf + 1 325.316 * * [simplify]: Extracting #4: cost 169 inf + 862 325.317 * * [simplify]: Extracting #5: cost 160 inf + 1869 325.318 * * [simplify]: Extracting #6: cost 134 inf + 7552 325.326 * * [simplify]: Extracting #7: cost 39 inf + 42059 325.338 * * [simplify]: Extracting #8: cost 1 inf + 58248 325.352 * * [simplify]: Extracting #9: cost 0 inf + 58571 325.365 * [simplify]: Simplified to (- (/ (cbrt 1/2) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 325.365 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (cbrt 1/2) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 325.365 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 325.365 * * [simplify]: iters left: 6 (19 enodes) 325.371 * * [simplify]: iters left: 5 (75 enodes) 325.384 * * [simplify]: iters left: 4 (111 enodes) 325.407 * * [simplify]: iters left: 3 (244 enodes) 325.476 * * [simplify]: Extracting #0: cost 1 inf + 0 325.476 * * [simplify]: Extracting #1: cost 18 inf + 0 325.476 * * [simplify]: Extracting #2: cost 75 inf + 1 325.476 * * [simplify]: Extracting #3: cost 123 inf + 1 325.477 * * [simplify]: Extracting #4: cost 115 inf + 1708 325.478 * * [simplify]: Extracting #5: cost 83 inf + 10385 325.481 * * [simplify]: Extracting #6: cost 78 inf + 11373 325.487 * * [simplify]: Extracting #7: cost 25 inf + 31967 325.497 * * [simplify]: Extracting #8: cost 0 inf + 41997 325.507 * * [simplify]: Extracting #9: cost 0 inf + 41872 325.518 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 325.518 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))))))) 325.518 * * * * [progress]: [ 457 / 2246 ] simplifiying candidate # 325.518 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 325.519 * * [simplify]: iters left: 6 (23 enodes) 325.526 * * [simplify]: iters left: 5 (91 enodes) 325.544 * * [simplify]: iters left: 4 (146 enodes) 325.572 * * [simplify]: iters left: 3 (330 enodes) 325.661 * * [simplify]: Extracting #0: cost 1 inf + 0 325.661 * * [simplify]: Extracting #1: cost 11 inf + 0 325.661 * * [simplify]: Extracting #2: cost 90 inf + 0 325.662 * * [simplify]: Extracting #3: cost 169 inf + 1 325.663 * * [simplify]: Extracting #4: cost 169 inf + 862 325.664 * * [simplify]: Extracting #5: cost 160 inf + 1869 325.668 * * [simplify]: Extracting #6: cost 134 inf + 7552 325.675 * * [simplify]: Extracting #7: cost 39 inf + 42059 325.688 * * [simplify]: Extracting #8: cost 1 inf + 58248 325.701 * * [simplify]: Extracting #9: cost 0 inf + 58571 325.714 * [simplify]: Simplified to (- (/ (cbrt 1/2) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 325.714 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (cbrt 1/2) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 325.714 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 325.715 * * [simplify]: iters left: 6 (19 enodes) 325.720 * * [simplify]: iters left: 5 (75 enodes) 325.733 * * [simplify]: iters left: 4 (111 enodes) 325.755 * * [simplify]: iters left: 3 (244 enodes) 325.823 * * [simplify]: Extracting #0: cost 1 inf + 0 325.823 * * [simplify]: Extracting #1: cost 18 inf + 0 325.824 * * [simplify]: Extracting #2: cost 75 inf + 1 325.824 * * [simplify]: Extracting #3: cost 123 inf + 1 325.824 * * [simplify]: Extracting #4: cost 115 inf + 1708 325.826 * * [simplify]: Extracting #5: cost 83 inf + 10385 325.828 * * [simplify]: Extracting #6: cost 78 inf + 11373 325.835 * * [simplify]: Extracting #7: cost 25 inf + 31967 325.845 * * [simplify]: Extracting #8: cost 0 inf + 41997 325.855 * * [simplify]: Extracting #9: cost 0 inf + 41872 325.865 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 325.865 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))))))) 325.866 * * * * [progress]: [ 458 / 2246 ] simplifiying candidate # 325.866 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 325.866 * * [simplify]: iters left: 6 (24 enodes) 325.874 * * [simplify]: iters left: 5 (93 enodes) 325.889 * * [simplify]: iters left: 4 (170 enodes) 325.929 * * [simplify]: iters left: 3 (423 enodes) 326.069 * * [simplify]: Extracting #0: cost 1 inf + 0 326.069 * * [simplify]: Extracting #1: cost 11 inf + 0 326.069 * * [simplify]: Extracting #2: cost 105 inf + 0 326.070 * * [simplify]: Extracting #3: cost 195 inf + 1 326.070 * * [simplify]: Extracting #4: cost 188 inf + 896 326.072 * * [simplify]: Extracting #5: cost 167 inf + 4378 326.080 * * [simplify]: Extracting #6: cost 105 inf + 24994 326.095 * * [simplify]: Extracting #7: cost 13 inf + 61735 326.111 * * [simplify]: Extracting #8: cost 0 inf + 67305 326.128 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (/ (/ -1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x)))) 326.128 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (/ (/ -1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x)))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 326.129 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 326.129 * * [simplify]: iters left: 6 (18 enodes) 326.134 * * [simplify]: iters left: 5 (70 enodes) 326.146 * * [simplify]: iters left: 4 (126 enodes) 326.175 * * [simplify]: iters left: 3 (322 enodes) 326.282 * * [simplify]: Extracting #0: cost 1 inf + 0 326.282 * * [simplify]: Extracting #1: cost 0 inf + 1 326.282 * [simplify]: Simplified to 0 326.282 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 326.283 * * * * [progress]: [ 459 / 2246 ] simplifiying candidate # 326.283 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 326.283 * * [simplify]: iters left: 6 (24 enodes) 326.289 * * [simplify]: iters left: 5 (95 enodes) 326.306 * * [simplify]: iters left: 4 (182 enodes) 326.343 * * [simplify]: iters left: 3 (427 enodes) 326.461 * * [simplify]: Extracting #0: cost 1 inf + 0 326.461 * * [simplify]: Extracting #1: cost 11 inf + 0 326.462 * * [simplify]: Extracting #2: cost 118 inf + 0 326.462 * * [simplify]: Extracting #3: cost 230 inf + 2 326.463 * * [simplify]: Extracting #4: cost 226 inf + 1055 326.465 * * [simplify]: Extracting #5: cost 214 inf + 2805 326.468 * * [simplify]: Extracting #6: cost 167 inf + 17737 326.489 * * [simplify]: Extracting #7: cost 23 inf + 86756 326.513 * * [simplify]: Extracting #8: cost 0 inf + 98045 326.539 * * [simplify]: Extracting #9: cost 0 inf + 97741 326.563 * * [simplify]: Extracting #10: cost 0 inf + 97701 326.589 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (* (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 326.589 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (* (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 326.590 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 326.590 * * [simplify]: iters left: 6 (18 enodes) 326.595 * * [simplify]: iters left: 5 (72 enodes) 326.608 * * [simplify]: iters left: 4 (139 enodes) 326.636 * * [simplify]: iters left: 3 (344 enodes) 326.740 * * [simplify]: Extracting #0: cost 1 inf + 0 326.740 * * [simplify]: Extracting #1: cost 0 inf + 1 326.740 * [simplify]: Simplified to 0 326.740 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 326.741 * * * * [progress]: [ 460 / 2246 ] simplifiying candidate # 326.741 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 326.741 * * [simplify]: iters left: 6 (22 enodes) 326.748 * * [simplify]: iters left: 5 (84 enodes) 326.762 * * [simplify]: iters left: 4 (140 enodes) 326.790 * * [simplify]: iters left: 3 (291 enodes) 326.855 * * [simplify]: Extracting #0: cost 1 inf + 0 326.855 * * [simplify]: Extracting #1: cost 9 inf + 0 326.855 * * [simplify]: Extracting #2: cost 88 inf + 0 326.856 * * [simplify]: Extracting #3: cost 156 inf + 2 326.856 * * [simplify]: Extracting #4: cost 155 inf + 530 326.857 * * [simplify]: Extracting #5: cost 146 inf + 1681 326.858 * * [simplify]: Extracting #6: cost 130 inf + 4606 326.863 * * [simplify]: Extracting #7: cost 64 inf + 26516 326.874 * * [simplify]: Extracting #8: cost 3 inf + 52197 326.887 * * [simplify]: Extracting #9: cost 0 inf + 53707 326.900 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 326.900 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 326.901 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 326.901 * * [simplify]: iters left: 6 (16 enodes) 326.905 * * [simplify]: iters left: 5 (62 enodes) 326.915 * * [simplify]: iters left: 4 (105 enodes) 326.938 * * [simplify]: iters left: 3 (234 enodes) 326.992 * * [simplify]: Extracting #0: cost 1 inf + 0 326.992 * * [simplify]: Extracting #1: cost 0 inf + 1 326.992 * [simplify]: Simplified to 0 326.992 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 326.992 * * * * [progress]: [ 461 / 2246 ] simplifiying candidate # 326.993 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 326.993 * * [simplify]: iters left: 6 (22 enodes) 327.002 * * [simplify]: iters left: 5 (86 enodes) 327.016 * * [simplify]: iters left: 4 (152 enodes) 327.049 * * [simplify]: iters left: 3 (348 enodes) 327.153 * * [simplify]: Extracting #0: cost 1 inf + 0 327.153 * * [simplify]: Extracting #1: cost 11 inf + 0 327.153 * * [simplify]: Extracting #2: cost 75 inf + 0 327.154 * * [simplify]: Extracting #3: cost 131 inf + 1 327.154 * * [simplify]: Extracting #4: cost 131 inf + 206 327.155 * * [simplify]: Extracting #5: cost 120 inf + 1561 327.156 * * [simplify]: Extracting #6: cost 96 inf + 5725 327.161 * * [simplify]: Extracting #7: cost 38 inf + 23851 327.170 * * [simplify]: Extracting #8: cost 2 inf + 37377 327.180 * * [simplify]: Extracting #9: cost 0 inf + 38139 327.190 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) 327.190 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))))) 327.190 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1))) 327.191 * * [simplify]: iters left: 6 (16 enodes) 327.198 * * [simplify]: iters left: 5 (63 enodes) 327.209 * * [simplify]: iters left: 4 (113 enodes) 327.233 * * [simplify]: iters left: 3 (256 enodes) 327.303 * * [simplify]: Extracting #0: cost 1 inf + 0 327.303 * * [simplify]: Extracting #1: cost 0 inf + 1 327.303 * [simplify]: Simplified to 0 327.303 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 0))) 327.303 * * * * [progress]: [ 462 / 2246 ] simplifiying candidate # 327.304 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 327.304 * * [simplify]: iters left: 6 (21 enodes) 327.310 * * [simplify]: iters left: 5 (84 enodes) 327.325 * * [simplify]: iters left: 4 (135 enodes) 327.354 * * [simplify]: iters left: 3 (290 enodes) 327.426 * * [simplify]: Extracting #0: cost 1 inf + 0 327.426 * * [simplify]: Extracting #1: cost 11 inf + 0 327.426 * * [simplify]: Extracting #2: cost 82 inf + 0 327.427 * * [simplify]: Extracting #3: cost 133 inf + 1 327.427 * * [simplify]: Extracting #4: cost 130 inf + 852 327.428 * * [simplify]: Extracting #5: cost 120 inf + 1964 327.429 * * [simplify]: Extracting #6: cost 104 inf + 4809 327.434 * * [simplify]: Extracting #7: cost 35 inf + 27341 327.443 * * [simplify]: Extracting #8: cost 0 inf + 40416 327.452 * * [simplify]: Extracting #9: cost 0 inf + 40316 327.462 * [simplify]: Simplified to (- (/ (cbrt 1/2) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 327.462 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (cbrt 1/2) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))))) 327.462 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)))) 327.462 * * [simplify]: iters left: 6 (17 enodes) 327.467 * * [simplify]: iters left: 5 (68 enodes) 327.481 * * [simplify]: iters left: 4 (101 enodes) 327.500 * * [simplify]: iters left: 3 (206 enodes) 327.549 * * [simplify]: iters left: 2 (407 enodes) 327.666 * * [simplify]: Extracting #0: cost 1 inf + 0 327.667 * * [simplify]: Extracting #1: cost 0 inf + 1 327.667 * [simplify]: Simplified to 0 327.667 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 327.667 * * * * [progress]: [ 463 / 2246 ] simplifiying candidate # 327.667 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 327.667 * * [simplify]: iters left: 6 (21 enodes) 327.674 * * [simplify]: iters left: 5 (84 enodes) 327.687 * * [simplify]: iters left: 4 (135 enodes) 327.713 * * [simplify]: iters left: 3 (290 enodes) 327.785 * * [simplify]: Extracting #0: cost 1 inf + 0 327.786 * * [simplify]: Extracting #1: cost 11 inf + 0 327.786 * * [simplify]: Extracting #2: cost 82 inf + 0 327.786 * * [simplify]: Extracting #3: cost 133 inf + 1 327.787 * * [simplify]: Extracting #4: cost 130 inf + 852 327.787 * * [simplify]: Extracting #5: cost 120 inf + 1964 327.788 * * [simplify]: Extracting #6: cost 104 inf + 4809 327.795 * * [simplify]: Extracting #7: cost 35 inf + 27341 327.804 * * [simplify]: Extracting #8: cost 0 inf + 40416 327.814 * * [simplify]: Extracting #9: cost 0 inf + 40316 327.823 * [simplify]: Simplified to (- (/ (cbrt 1/2) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 327.823 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (cbrt 1/2) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))))) 327.823 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)))) 327.824 * * [simplify]: iters left: 6 (17 enodes) 327.829 * * [simplify]: iters left: 5 (68 enodes) 327.840 * * [simplify]: iters left: 4 (101 enodes) 327.859 * * [simplify]: iters left: 3 (206 enodes) 327.908 * * [simplify]: iters left: 2 (407 enodes) 328.026 * * [simplify]: Extracting #0: cost 1 inf + 0 328.026 * * [simplify]: Extracting #1: cost 0 inf + 1 328.026 * [simplify]: Simplified to 0 328.026 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 328.026 * * * * [progress]: [ 464 / 2246 ] simplifiying candidate # 328.026 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 328.027 * * [simplify]: iters left: 6 (22 enodes) 328.034 * * [simplify]: iters left: 5 (86 enodes) 328.048 * * [simplify]: iters left: 4 (152 enodes) 328.084 * * [simplify]: iters left: 3 (348 enodes) 328.213 * * [simplify]: Extracting #0: cost 1 inf + 0 328.213 * * [simplify]: Extracting #1: cost 11 inf + 0 328.213 * * [simplify]: Extracting #2: cost 75 inf + 0 328.214 * * [simplify]: Extracting #3: cost 131 inf + 1 328.214 * * [simplify]: Extracting #4: cost 131 inf + 206 328.215 * * [simplify]: Extracting #5: cost 120 inf + 1561 328.216 * * [simplify]: Extracting #6: cost 96 inf + 5725 328.221 * * [simplify]: Extracting #7: cost 38 inf + 23851 328.230 * * [simplify]: Extracting #8: cost 2 inf + 37377 328.240 * * [simplify]: Extracting #9: cost 0 inf + 38139 328.250 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) 328.250 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))))) 328.250 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1))) 328.251 * * [simplify]: iters left: 6 (16 enodes) 328.255 * * [simplify]: iters left: 5 (63 enodes) 328.266 * * [simplify]: iters left: 4 (113 enodes) 328.293 * * [simplify]: iters left: 3 (256 enodes) 328.363 * * [simplify]: Extracting #0: cost 1 inf + 0 328.363 * * [simplify]: Extracting #1: cost 0 inf + 1 328.363 * [simplify]: Simplified to 0 328.363 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 0))) 328.364 * * * * [progress]: [ 465 / 2246 ] simplifiying candidate # 328.364 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 328.364 * * [simplify]: iters left: 6 (24 enodes) 328.372 * * [simplify]: iters left: 5 (94 enodes) 328.387 * * [simplify]: iters left: 4 (178 enodes) 328.427 * * [simplify]: iters left: 3 (396 enodes) 328.547 * * [simplify]: Extracting #0: cost 1 inf + 0 328.547 * * [simplify]: Extracting #1: cost 11 inf + 0 328.547 * * [simplify]: Extracting #2: cost 103 inf + 0 328.548 * * [simplify]: Extracting #3: cost 160 inf + 772 328.549 * * [simplify]: Extracting #4: cost 147 inf + 2064 328.550 * * [simplify]: Extracting #5: cost 140 inf + 3047 328.551 * * [simplify]: Extracting #6: cost 135 inf + 3857 328.555 * * [simplify]: Extracting #7: cost 98 inf + 17206 328.568 * * [simplify]: Extracting #8: cost 20 inf + 51374 328.585 * * [simplify]: Extracting #9: cost 0 inf + 61174 328.603 * * [simplify]: Extracting #10: cost 0 inf + 61173 328.620 * [simplify]: Simplified to (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 328.620 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 328.621 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 328.621 * * [simplify]: iters left: 6 (18 enodes) 328.626 * * [simplify]: iters left: 5 (71 enodes) 328.640 * * [simplify]: iters left: 4 (135 enodes) 328.670 * * [simplify]: iters left: 3 (317 enodes) 328.770 * * [simplify]: Extracting #0: cost 1 inf + 0 328.770 * * [simplify]: Extracting #1: cost 0 inf + 1 328.770 * [simplify]: Simplified to 0 328.770 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 328.770 * * * * [progress]: [ 466 / 2246 ] simplifiying candidate # 328.771 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 328.771 * * [simplify]: iters left: 6 (23 enodes) 328.778 * * [simplify]: iters left: 5 (89 enodes) 328.793 * * [simplify]: iters left: 4 (151 enodes) 328.825 * * [simplify]: iters left: 3 (300 enodes) 328.897 * * [simplify]: Extracting #0: cost 1 inf + 0 328.897 * * [simplify]: Extracting #1: cost 11 inf + 0 328.897 * * [simplify]: Extracting #2: cost 79 inf + 0 328.898 * * [simplify]: Extracting #3: cost 118 inf + 206 328.898 * * [simplify]: Extracting #4: cost 108 inf + 1190 328.899 * * [simplify]: Extracting #5: cost 92 inf + 3323 328.902 * * [simplify]: Extracting #6: cost 54 inf + 15530 328.910 * * [simplify]: Extracting #7: cost 3 inf + 33969 328.919 * * [simplify]: Extracting #8: cost 0 inf + 35181 328.929 * [simplify]: Simplified to (- (/ (cbrt 1/2) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 328.929 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (cbrt 1/2) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 328.929 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 328.930 * * [simplify]: iters left: 6 (17 enodes) 328.934 * * [simplify]: iters left: 5 (66 enodes) 328.946 * * [simplify]: iters left: 4 (111 enodes) 328.970 * * [simplify]: iters left: 3 (224 enodes) 329.023 * * [simplify]: iters left: 2 (415 enodes) 329.127 * * [simplify]: Extracting #0: cost 1 inf + 0 329.127 * * [simplify]: Extracting #1: cost 0 inf + 1 329.127 * [simplify]: Simplified to 0 329.127 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 329.128 * * * * [progress]: [ 467 / 2246 ] simplifiying candidate # 329.128 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 329.128 * * [simplify]: iters left: 6 (22 enodes) 329.135 * * [simplify]: iters left: 5 (81 enodes) 329.151 * * [simplify]: iters left: 4 (136 enodes) 329.175 * * [simplify]: iters left: 3 (254 enodes) 329.229 * * [simplify]: iters left: 2 (464 enodes) 329.352 * * [simplify]: Extracting #0: cost 1 inf + 0 329.352 * * [simplify]: Extracting #1: cost 11 inf + 0 329.353 * * [simplify]: Extracting #2: cost 59 inf + 0 329.353 * * [simplify]: Extracting #3: cost 93 inf + 125 329.354 * * [simplify]: Extracting #4: cost 85 inf + 1191 329.355 * * [simplify]: Extracting #5: cost 67 inf + 3834 329.358 * * [simplify]: Extracting #6: cost 20 inf + 17981 329.365 * * [simplify]: Extracting #7: cost 0 inf + 24473 329.372 * * [simplify]: Extracting #8: cost 0 inf + 24423 329.379 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 329.379 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))))) 329.379 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1))) 329.379 * * [simplify]: iters left: 6 (16 enodes) 329.384 * * [simplify]: iters left: 5 (58 enodes) 329.394 * * [simplify]: iters left: 4 (106 enodes) 329.415 * * [simplify]: iters left: 3 (186 enodes) 329.454 * * [simplify]: iters left: 2 (342 enodes) 329.531 * * [simplify]: iters left: 1 (486 enodes) 329.638 * * [simplify]: Extracting #0: cost 1 inf + 0 329.638 * * [simplify]: Extracting #1: cost 0 inf + 1 329.638 * [simplify]: Simplified to 0 329.638 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 329.638 * * * * [progress]: [ 468 / 2246 ] simplifiying candidate # 329.638 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 329.638 * * [simplify]: iters left: 6 (21 enodes) 329.646 * * [simplify]: iters left: 5 (82 enodes) 329.662 * * [simplify]: iters left: 4 (138 enodes) 329.686 * * [simplify]: iters left: 3 (239 enodes) 329.735 * * [simplify]: iters left: 2 (419 enodes) 329.839 * * [simplify]: Extracting #0: cost 1 inf + 0 329.839 * * [simplify]: Extracting #1: cost 11 inf + 0 329.840 * * [simplify]: Extracting #2: cost 51 inf + 0 329.840 * * [simplify]: Extracting #3: cost 89 inf + 125 329.840 * * [simplify]: Extracting #4: cost 77 inf + 1619 329.842 * * [simplify]: Extracting #5: cost 60 inf + 4102 329.845 * * [simplify]: Extracting #6: cost 16 inf + 17544 329.854 * * [simplify]: Extracting #7: cost 0 inf + 22512 329.860 * * [simplify]: Extracting #8: cost 0 inf + 22286 329.866 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 329.866 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))))) 329.866 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1)))) 329.867 * * [simplify]: iters left: 6 (17 enodes) 329.873 * * [simplify]: iters left: 5 (66 enodes) 329.883 * * [simplify]: iters left: 4 (101 enodes) 329.900 * * [simplify]: iters left: 3 (170 enodes) 329.932 * * [simplify]: iters left: 2 (266 enodes) 329.984 * * [simplify]: iters left: 1 (380 enodes) 330.072 * * [simplify]: Extracting #0: cost 1 inf + 0 330.072 * * [simplify]: Extracting #1: cost 0 inf + 1 330.072 * [simplify]: Simplified to 0 330.072 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 330.072 * * * * [progress]: [ 469 / 2246 ] simplifiying candidate # 330.072 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 330.072 * * [simplify]: iters left: 6 (21 enodes) 330.080 * * [simplify]: iters left: 5 (82 enodes) 330.093 * * [simplify]: iters left: 4 (138 enodes) 330.119 * * [simplify]: iters left: 3 (239 enodes) 330.164 * * [simplify]: iters left: 2 (419 enodes) 330.271 * * [simplify]: Extracting #0: cost 1 inf + 0 330.271 * * [simplify]: Extracting #1: cost 11 inf + 0 330.271 * * [simplify]: Extracting #2: cost 51 inf + 0 330.272 * * [simplify]: Extracting #3: cost 89 inf + 125 330.272 * * [simplify]: Extracting #4: cost 77 inf + 1619 330.273 * * [simplify]: Extracting #5: cost 60 inf + 4102 330.277 * * [simplify]: Extracting #6: cost 16 inf + 17544 330.283 * * [simplify]: Extracting #7: cost 0 inf + 22512 330.289 * * [simplify]: Extracting #8: cost 0 inf + 22286 330.296 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 330.296 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))))) 330.296 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1)))) 330.297 * * [simplify]: iters left: 6 (17 enodes) 330.303 * * [simplify]: iters left: 5 (66 enodes) 330.316 * * [simplify]: iters left: 4 (101 enodes) 330.332 * * [simplify]: iters left: 3 (170 enodes) 330.362 * * [simplify]: iters left: 2 (266 enodes) 330.416 * * [simplify]: iters left: 1 (380 enodes) 330.505 * * [simplify]: Extracting #0: cost 1 inf + 0 330.505 * * [simplify]: Extracting #1: cost 0 inf + 1 330.505 * [simplify]: Simplified to 0 330.505 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 330.506 * * * * [progress]: [ 470 / 2246 ] simplifiying candidate # 330.506 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 330.506 * * [simplify]: iters left: 6 (22 enodes) 330.513 * * [simplify]: iters left: 5 (81 enodes) 330.526 * * [simplify]: iters left: 4 (136 enodes) 330.550 * * [simplify]: iters left: 3 (254 enodes) 330.605 * * [simplify]: iters left: 2 (464 enodes) 330.728 * * [simplify]: Extracting #0: cost 1 inf + 0 330.728 * * [simplify]: Extracting #1: cost 11 inf + 0 330.728 * * [simplify]: Extracting #2: cost 59 inf + 0 330.728 * * [simplify]: Extracting #3: cost 93 inf + 125 330.729 * * [simplify]: Extracting #4: cost 85 inf + 1191 330.730 * * [simplify]: Extracting #5: cost 67 inf + 3834 330.734 * * [simplify]: Extracting #6: cost 20 inf + 17981 330.741 * * [simplify]: Extracting #7: cost 0 inf + 24473 330.747 * * [simplify]: Extracting #8: cost 0 inf + 24423 330.754 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 330.754 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))))) 330.755 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1))) 330.755 * * [simplify]: iters left: 6 (16 enodes) 330.762 * * [simplify]: iters left: 5 (58 enodes) 330.772 * * [simplify]: iters left: 4 (106 enodes) 330.790 * * [simplify]: iters left: 3 (186 enodes) 330.831 * * [simplify]: iters left: 2 (342 enodes) 330.908 * * [simplify]: iters left: 1 (486 enodes) 331.014 * * [simplify]: Extracting #0: cost 1 inf + 0 331.014 * * [simplify]: Extracting #1: cost 0 inf + 1 331.014 * [simplify]: Simplified to 0 331.014 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 331.014 * * * * [progress]: [ 471 / 2246 ] simplifiying candidate # 331.015 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 331.015 * * [simplify]: iters left: 6 (25 enodes) 331.023 * * [simplify]: iters left: 5 (101 enodes) 331.042 * * [simplify]: iters left: 4 (211 enodes) 331.093 * * [simplify]: Extracting #0: cost 1 inf + 0 331.093 * * [simplify]: Extracting #1: cost 11 inf + 0 331.094 * * [simplify]: Extracting #2: cost 106 inf + 0 331.094 * * [simplify]: Extracting #3: cost 180 inf + 367 331.095 * * [simplify]: Extracting #4: cost 180 inf + 852 331.096 * * [simplify]: Extracting #5: cost 172 inf + 2419 331.097 * * [simplify]: Extracting #6: cost 150 inf + 6824 331.099 * * [simplify]: Extracting #7: cost 124 inf + 15453 331.109 * * [simplify]: Extracting #8: cost 36 inf + 59594 331.126 * * [simplify]: Extracting #9: cost 0 inf + 77967 331.142 * * [simplify]: Extracting #10: cost 0 inf + 77629 331.158 * * [simplify]: Extracting #11: cost 0 inf + 77588 331.177 * [simplify]: Simplified to (- (* (* (cbrt 1/2) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt 1/2)) (/ (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 331.177 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (* (cbrt 1/2) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt 1/2)) (/ (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 331.178 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 331.178 * * [simplify]: iters left: 6 (19 enodes) 331.183 * * [simplify]: iters left: 5 (78 enodes) 331.197 * * [simplify]: iters left: 4 (164 enodes) 331.240 * * [simplify]: iters left: 3 (469 enodes) 331.517 * * [simplify]: Extracting #0: cost 1 inf + 0 331.517 * * [simplify]: Extracting #1: cost 0 inf + 1 331.517 * [simplify]: Simplified to 0 331.517 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 331.517 * * * * [progress]: [ 472 / 2246 ] simplifiying candidate # 331.517 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 331.517 * * [simplify]: iters left: 6 (24 enodes) 331.525 * * [simplify]: iters left: 5 (96 enodes) 331.541 * * [simplify]: iters left: 4 (181 enodes) 331.583 * * [simplify]: iters left: 3 (426 enodes) 331.742 * * [simplify]: Extracting #0: cost 1 inf + 0 331.742 * * [simplify]: Extracting #1: cost 11 inf + 0 331.742 * * [simplify]: Extracting #2: cost 146 inf + 0 331.743 * * [simplify]: Extracting #3: cost 255 inf + 490 331.744 * * [simplify]: Extracting #4: cost 251 inf + 1461 331.746 * * [simplify]: Extracting #5: cost 244 inf + 2841 331.748 * * [simplify]: Extracting #6: cost 216 inf + 8873 331.755 * * [simplify]: Extracting #7: cost 174 inf + 21549 331.774 * * [simplify]: Extracting #8: cost 34 inf + 81825 331.799 * * [simplify]: Extracting #9: cost 0 inf + 97827 331.824 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (cbrt (hypot 1 x))))) 331.824 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (cbrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 331.825 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 331.825 * * [simplify]: iters left: 6 (18 enodes) 331.829 * * [simplify]: iters left: 5 (73 enodes) 331.844 * * [simplify]: iters left: 4 (136 enodes) 331.873 * * [simplify]: iters left: 3 (336 enodes) 332.013 * * [simplify]: Extracting #0: cost 1 inf + 0 332.013 * * [simplify]: Extracting #1: cost 0 inf + 1 332.013 * [simplify]: Simplified to 0 332.013 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 332.013 * * * * [progress]: [ 473 / 2246 ] simplifiying candidate # 332.014 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 332.014 * * [simplify]: iters left: 6 (23 enodes) 332.024 * * [simplify]: iters left: 5 (91 enodes) 332.041 * * [simplify]: iters left: 4 (174 enodes) 332.078 * * [simplify]: iters left: 3 (398 enodes) 332.218 * * [simplify]: Extracting #0: cost 1 inf + 0 332.218 * * [simplify]: Extracting #1: cost 11 inf + 0 332.219 * * [simplify]: Extracting #2: cost 146 inf + 0 332.219 * * [simplify]: Extracting #3: cost 221 inf + 327 332.220 * * [simplify]: Extracting #4: cost 217 inf + 1300 332.222 * * [simplify]: Extracting #5: cost 204 inf + 3849 332.227 * * [simplify]: Extracting #6: cost 122 inf + 27797 332.243 * * [simplify]: Extracting #7: cost 23 inf + 65246 332.261 * * [simplify]: Extracting #8: cost 0 inf + 73886 332.281 * * [simplify]: Extracting #9: cost 0 inf + 73736 332.299 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1/2 (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 332.299 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1/2 (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 332.300 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 332.300 * * [simplify]: iters left: 6 (17 enodes) 332.304 * * [simplify]: iters left: 5 (68 enodes) 332.317 * * [simplify]: iters left: 4 (127 enodes) 332.345 * * [simplify]: iters left: 3 (292 enodes) 332.455 * * [simplify]: Extracting #0: cost 1 inf + 0 332.455 * * [simplify]: Extracting #1: cost 0 inf + 1 332.455 * [simplify]: Simplified to 0 332.455 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 332.456 * * * * [progress]: [ 474 / 2246 ] simplifiying candidate # 332.456 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 332.456 * * [simplify]: iters left: 6 (22 enodes) 332.463 * * [simplify]: iters left: 5 (89 enodes) 332.481 * * [simplify]: iters left: 4 (148 enodes) 332.509 * * [simplify]: iters left: 3 (323 enodes) 332.605 * * [simplify]: Extracting #0: cost 1 inf + 0 332.605 * * [simplify]: Extracting #1: cost 11 inf + 0 332.605 * * [simplify]: Extracting #2: cost 104 inf + 0 332.606 * * [simplify]: Extracting #3: cost 166 inf + 328 332.606 * * [simplify]: Extracting #4: cost 161 inf + 1462 332.607 * * [simplify]: Extracting #5: cost 161 inf + 1520 332.608 * * [simplify]: Extracting #6: cost 133 inf + 7472 332.611 * * [simplify]: Extracting #7: cost 105 inf + 13448 332.618 * * [simplify]: Extracting #8: cost 42 inf + 36146 332.629 * * [simplify]: Extracting #9: cost 0 inf + 52919 332.641 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))))) 332.641 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 332.641 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 332.641 * * [simplify]: iters left: 6 (18 enodes) 332.647 * * [simplify]: iters left: 5 (73 enodes) 332.660 * * [simplify]: iters left: 4 (112 enodes) 332.683 * * [simplify]: iters left: 3 (236 enodes) 332.756 * * [simplify]: Extracting #0: cost 1 inf + 0 332.757 * * [simplify]: Extracting #1: cost 20 inf + 0 332.757 * * [simplify]: Extracting #2: cost 95 inf + 1 332.757 * * [simplify]: Extracting #3: cost 118 inf + 4 332.758 * * [simplify]: Extracting #4: cost 111 inf + 1145 332.759 * * [simplify]: Extracting #5: cost 86 inf + 6974 332.761 * * [simplify]: Extracting #6: cost 75 inf + 9748 332.763 * * [simplify]: Extracting #7: cost 70 inf + 10597 332.768 * * [simplify]: Extracting #8: cost 17 inf + 29887 332.777 * * [simplify]: Extracting #9: cost 0 inf + 36382 332.786 * * [simplify]: Extracting #10: cost 0 inf + 36332 332.795 * [simplify]: Simplified to (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 332.795 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) 332.796 * * * * [progress]: [ 475 / 2246 ] simplifiying candidate # 332.796 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 332.796 * * [simplify]: iters left: 6 (22 enodes) 332.803 * * [simplify]: iters left: 5 (89 enodes) 332.821 * * [simplify]: iters left: 4 (148 enodes) 332.850 * * [simplify]: iters left: 3 (323 enodes) 332.946 * * [simplify]: Extracting #0: cost 1 inf + 0 332.947 * * [simplify]: Extracting #1: cost 11 inf + 0 332.947 * * [simplify]: Extracting #2: cost 104 inf + 0 332.947 * * [simplify]: Extracting #3: cost 166 inf + 328 332.948 * * [simplify]: Extracting #4: cost 161 inf + 1462 332.949 * * [simplify]: Extracting #5: cost 161 inf + 1520 332.950 * * [simplify]: Extracting #6: cost 133 inf + 7472 332.952 * * [simplify]: Extracting #7: cost 105 inf + 13448 332.959 * * [simplify]: Extracting #8: cost 42 inf + 36146 332.970 * * [simplify]: Extracting #9: cost 0 inf + 52919 332.982 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))))) 332.982 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 332.983 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 332.983 * * [simplify]: iters left: 6 (18 enodes) 332.988 * * [simplify]: iters left: 5 (73 enodes) 333.001 * * [simplify]: iters left: 4 (112 enodes) 333.023 * * [simplify]: iters left: 3 (236 enodes) 333.098 * * [simplify]: Extracting #0: cost 1 inf + 0 333.098 * * [simplify]: Extracting #1: cost 20 inf + 0 333.098 * * [simplify]: Extracting #2: cost 95 inf + 1 333.098 * * [simplify]: Extracting #3: cost 118 inf + 4 333.099 * * [simplify]: Extracting #4: cost 111 inf + 1145 333.100 * * [simplify]: Extracting #5: cost 86 inf + 6974 333.102 * * [simplify]: Extracting #6: cost 75 inf + 9748 333.105 * * [simplify]: Extracting #7: cost 70 inf + 10597 333.110 * * [simplify]: Extracting #8: cost 17 inf + 29887 333.119 * * [simplify]: Extracting #9: cost 0 inf + 36382 333.128 * * [simplify]: Extracting #10: cost 0 inf + 36332 333.138 * [simplify]: Simplified to (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 333.138 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) 333.138 * * * * [progress]: [ 476 / 2246 ] simplifiying candidate # 333.138 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 333.138 * * [simplify]: iters left: 6 (23 enodes) 333.146 * * [simplify]: iters left: 5 (91 enodes) 333.164 * * [simplify]: iters left: 4 (174 enodes) 333.201 * * [simplify]: iters left: 3 (398 enodes) 333.343 * * [simplify]: Extracting #0: cost 1 inf + 0 333.343 * * [simplify]: Extracting #1: cost 11 inf + 0 333.344 * * [simplify]: Extracting #2: cost 146 inf + 0 333.344 * * [simplify]: Extracting #3: cost 221 inf + 327 333.345 * * [simplify]: Extracting #4: cost 217 inf + 1300 333.347 * * [simplify]: Extracting #5: cost 204 inf + 3849 333.352 * * [simplify]: Extracting #6: cost 122 inf + 27797 333.368 * * [simplify]: Extracting #7: cost 23 inf + 65246 333.386 * * [simplify]: Extracting #8: cost 0 inf + 73886 333.403 * * [simplify]: Extracting #9: cost 0 inf + 73736 333.423 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1/2 (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 333.423 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1/2 (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 333.423 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 333.424 * * [simplify]: iters left: 6 (17 enodes) 333.428 * * [simplify]: iters left: 5 (68 enodes) 333.440 * * [simplify]: iters left: 4 (127 enodes) 333.468 * * [simplify]: iters left: 3 (292 enodes) 333.576 * * [simplify]: Extracting #0: cost 1 inf + 0 333.577 * * [simplify]: Extracting #1: cost 0 inf + 1 333.577 * [simplify]: Simplified to 0 333.577 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 333.577 * * * * [progress]: [ 477 / 2246 ] simplifiying candidate # 333.577 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 333.577 * * [simplify]: iters left: 6 (24 enodes) 333.584 * * [simplify]: iters left: 5 (96 enodes) 333.600 * * [simplify]: iters left: 4 (196 enodes) 333.645 * * [simplify]: iters left: 3 (461 enodes) 334.116 * * [simplify]: Extracting #0: cost 1 inf + 0 334.116 * * [simplify]: Extracting #1: cost 11 inf + 0 334.117 * * [simplify]: Extracting #2: cost 167 inf + 0 334.118 * * [simplify]: Extracting #3: cost 301 inf + 490 334.119 * * [simplify]: Extracting #4: cost 298 inf + 1300 334.125 * * [simplify]: Extracting #5: cost 292 inf + 2167 334.127 * * [simplify]: Extracting #6: cost 271 inf + 5553 334.131 * * [simplify]: Extracting #7: cost 234 inf + 19238 334.151 * * [simplify]: Extracting #8: cost 86 inf + 85968 334.184 * * [simplify]: Extracting #9: cost 0 inf + 126350 334.217 * * [simplify]: Extracting #10: cost 0 inf + 126270 334.252 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (* (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 334.252 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (* (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 334.252 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 334.252 * * [simplify]: iters left: 6 (18 enodes) 334.257 * * [simplify]: iters left: 5 (73 enodes) 334.270 * * [simplify]: iters left: 4 (149 enodes) 334.306 * * [simplify]: iters left: 3 (359 enodes) 334.463 * * [simplify]: Extracting #0: cost 1 inf + 0 334.463 * * [simplify]: Extracting #1: cost 0 inf + 1 334.463 * [simplify]: Simplified to 0 334.463 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 334.463 * * * * [progress]: [ 478 / 2246 ] simplifiying candidate # 334.463 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 334.463 * * [simplify]: iters left: 6 (23 enodes) 334.474 * * [simplify]: iters left: 5 (90 enodes) 334.489 * * [simplify]: iters left: 4 (166 enodes) 334.520 * * [simplify]: iters left: 3 (348 enodes) 334.629 * * [simplify]: Extracting #0: cost 1 inf + 0 334.629 * * [simplify]: Extracting #1: cost 11 inf + 0 334.629 * * [simplify]: Extracting #2: cost 133 inf + 0 334.630 * * [simplify]: Extracting #3: cost 203 inf + 529 334.631 * * [simplify]: Extracting #4: cost 199 inf + 1461 334.632 * * [simplify]: Extracting #5: cost 190 inf + 2635 334.633 * * [simplify]: Extracting #6: cost 175 inf + 5196 334.637 * * [simplify]: Extracting #7: cost 130 inf + 19707 334.652 * * [simplify]: Extracting #8: cost 21 inf + 62053 334.673 * * [simplify]: Extracting #9: cost 0 inf + 70166 334.691 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 334.691 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 334.691 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 334.691 * * [simplify]: iters left: 6 (17 enodes) 334.696 * * [simplify]: iters left: 5 (67 enodes) 334.707 * * [simplify]: iters left: 4 (121 enodes) 334.732 * * [simplify]: iters left: 3 (261 enodes) 334.826 * * [simplify]: Extracting #0: cost 1 inf + 0 334.826 * * [simplify]: Extracting #1: cost 0 inf + 1 334.826 * [simplify]: Simplified to 0 334.826 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 334.826 * * * * [progress]: [ 479 / 2246 ] simplifiying candidate # 334.827 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 334.827 * * [simplify]: iters left: 6 (22 enodes) 334.834 * * [simplify]: iters left: 5 (86 enodes) 334.849 * * [simplify]: iters left: 4 (154 enodes) 334.885 * * [simplify]: iters left: 3 (326 enodes) 334.996 * * [simplify]: Extracting #0: cost 1 inf + 0 334.996 * * [simplify]: Extracting #1: cost 11 inf + 0 334.996 * * [simplify]: Extracting #2: cost 116 inf + 0 334.997 * * [simplify]: Extracting #3: cost 153 inf + 206 334.998 * * [simplify]: Extracting #4: cost 150 inf + 1017 334.998 * * [simplify]: Extracting #5: cost 147 inf + 1520 334.999 * * [simplify]: Extracting #6: cost 132 inf + 3760 335.005 * * [simplify]: Extracting #7: cost 41 inf + 31013 335.016 * * [simplify]: Extracting #8: cost 1 inf + 43765 335.027 * * [simplify]: Extracting #9: cost 0 inf + 44374 335.038 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) 335.038 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))))) 335.039 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1))) 335.039 * * [simplify]: iters left: 6 (16 enodes) 335.043 * * [simplify]: iters left: 5 (63 enodes) 335.054 * * [simplify]: iters left: 4 (109 enodes) 335.080 * * [simplify]: iters left: 3 (230 enodes) 335.156 * * [simplify]: Extracting #0: cost 1 inf + 0 335.156 * * [simplify]: Extracting #1: cost 0 inf + 1 335.156 * [simplify]: Simplified to 0 335.156 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 0))) 335.156 * * * * [progress]: [ 480 / 2246 ] simplifiying candidate # 335.157 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 335.157 * * [simplify]: iters left: 6 (21 enodes) 335.163 * * [simplify]: iters left: 5 (84 enodes) 335.177 * * [simplify]: iters left: 4 (137 enodes) 335.208 * * [simplify]: iters left: 3 (297 enodes) 335.290 * * [simplify]: Extracting #0: cost 1 inf + 0 335.290 * * [simplify]: Extracting #1: cost 17 inf + 0 335.290 * * [simplify]: Extracting #2: cost 99 inf + 0 335.291 * * [simplify]: Extracting #3: cost 127 inf + 490 335.291 * * [simplify]: Extracting #4: cost 127 inf + 1016 335.292 * * [simplify]: Extracting #5: cost 123 inf + 1577 335.293 * * [simplify]: Extracting #6: cost 107 inf + 4076 335.298 * * [simplify]: Extracting #7: cost 33 inf + 26116 335.306 * * [simplify]: Extracting #8: cost 0 inf + 37169 335.315 * * [simplify]: Extracting #9: cost 0 inf + 36902 335.324 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x)))) 335.324 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x)))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))))) 335.324 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)))) 335.324 * * [simplify]: iters left: 6 (17 enodes) 335.332 * * [simplify]: iters left: 5 (68 enodes) 335.344 * * [simplify]: iters left: 4 (102 enodes) 335.363 * * [simplify]: iters left: 3 (202 enodes) 335.418 * * [simplify]: iters left: 2 (433 enodes) 335.609 * * [simplify]: Extracting #0: cost 1 inf + 0 335.609 * * [simplify]: Extracting #1: cost 0 inf + 1 335.609 * [simplify]: Simplified to 0 335.609 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 335.609 * * * * [progress]: [ 481 / 2246 ] simplifiying candidate # 335.609 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 335.610 * * [simplify]: iters left: 6 (21 enodes) 335.616 * * [simplify]: iters left: 5 (84 enodes) 335.634 * * [simplify]: iters left: 4 (137 enodes) 335.660 * * [simplify]: iters left: 3 (297 enodes) 335.742 * * [simplify]: Extracting #0: cost 1 inf + 0 335.742 * * [simplify]: Extracting #1: cost 17 inf + 0 335.742 * * [simplify]: Extracting #2: cost 99 inf + 0 335.743 * * [simplify]: Extracting #3: cost 127 inf + 490 335.743 * * [simplify]: Extracting #4: cost 127 inf + 1016 335.744 * * [simplify]: Extracting #5: cost 123 inf + 1577 335.745 * * [simplify]: Extracting #6: cost 107 inf + 4076 335.750 * * [simplify]: Extracting #7: cost 33 inf + 26116 335.758 * * [simplify]: Extracting #8: cost 0 inf + 37169 335.769 * * [simplify]: Extracting #9: cost 0 inf + 36902 335.778 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x)))) 335.778 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x)))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))))) 335.778 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)))) 335.779 * * [simplify]: iters left: 6 (17 enodes) 335.784 * * [simplify]: iters left: 5 (68 enodes) 335.795 * * [simplify]: iters left: 4 (102 enodes) 335.813 * * [simplify]: iters left: 3 (202 enodes) 335.867 * * [simplify]: iters left: 2 (433 enodes) 336.055 * * [simplify]: Extracting #0: cost 1 inf + 0 336.055 * * [simplify]: Extracting #1: cost 0 inf + 1 336.055 * [simplify]: Simplified to 0 336.056 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 336.056 * * * * [progress]: [ 482 / 2246 ] simplifiying candidate # 336.056 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 336.056 * * [simplify]: iters left: 6 (22 enodes) 336.066 * * [simplify]: iters left: 5 (86 enodes) 336.081 * * [simplify]: iters left: 4 (154 enodes) 336.113 * * [simplify]: iters left: 3 (326 enodes) 336.220 * * [simplify]: Extracting #0: cost 1 inf + 0 336.220 * * [simplify]: Extracting #1: cost 11 inf + 0 336.221 * * [simplify]: Extracting #2: cost 116 inf + 0 336.221 * * [simplify]: Extracting #3: cost 153 inf + 206 336.222 * * [simplify]: Extracting #4: cost 150 inf + 1017 336.223 * * [simplify]: Extracting #5: cost 147 inf + 1520 336.223 * * [simplify]: Extracting #6: cost 132 inf + 3760 336.229 * * [simplify]: Extracting #7: cost 41 inf + 31013 336.240 * * [simplify]: Extracting #8: cost 1 inf + 43765 336.253 * * [simplify]: Extracting #9: cost 0 inf + 44374 336.265 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) 336.265 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))))) 336.265 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1))) 336.265 * * [simplify]: iters left: 6 (16 enodes) 336.270 * * [simplify]: iters left: 5 (63 enodes) 336.281 * * [simplify]: iters left: 4 (109 enodes) 336.305 * * [simplify]: iters left: 3 (230 enodes) 336.383 * * [simplify]: Extracting #0: cost 1 inf + 0 336.383 * * [simplify]: Extracting #1: cost 0 inf + 1 336.384 * [simplify]: Simplified to 0 336.384 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 0))) 336.384 * * * * [progress]: [ 483 / 2246 ] simplifiying candidate # 336.384 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 336.384 * * [simplify]: iters left: 6 (22 enodes) 336.391 * * [simplify]: iters left: 5 (86 enodes) 336.406 * * [simplify]: iters left: 4 (168 enodes) 336.442 * * [simplify]: iters left: 3 (369 enodes) 336.573 * * [simplify]: Extracting #0: cost 1 inf + 0 336.573 * * [simplify]: Extracting #1: cost 11 inf + 0 336.573 * * [simplify]: Extracting #2: cost 133 inf + 0 336.574 * * [simplify]: Extracting #3: cost 190 inf + 449 336.575 * * [simplify]: Extracting #4: cost 180 inf + 1651 336.577 * * [simplify]: Extracting #5: cost 150 inf + 11384 336.589 * * [simplify]: Extracting #6: cost 31 inf + 58626 336.607 * * [simplify]: Extracting #7: cost 0 inf + 71675 336.625 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (cbrt 1/2))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 336.626 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (cbrt 1/2))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 336.626 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 336.626 * * [simplify]: iters left: 6 (16 enodes) 336.631 * * [simplify]: iters left: 5 (63 enodes) 336.643 * * [simplify]: iters left: 4 (123 enodes) 336.673 * * [simplify]: iters left: 3 (281 enodes) 336.779 * * [simplify]: Extracting #0: cost 1 inf + 0 336.779 * * [simplify]: Extracting #1: cost 0 inf + 1 336.779 * [simplify]: Simplified to 0 336.779 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 336.779 * * * * [progress]: [ 484 / 2246 ] simplifiying candidate # 336.779 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 336.780 * * [simplify]: iters left: 6 (21 enodes) 336.787 * * [simplify]: iters left: 5 (81 enodes) 336.800 * * [simplify]: iters left: 4 (144 enodes) 336.829 * * [simplify]: iters left: 3 (272 enodes) 336.898 * * [simplify]: Extracting #0: cost 1 inf + 0 336.898 * * [simplify]: Extracting #1: cost 11 inf + 0 336.900 * * [simplify]: Extracting #2: cost 89 inf + 0 336.901 * * [simplify]: Extracting #3: cost 116 inf + 85 336.901 * * [simplify]: Extracting #4: cost 107 inf + 1110 336.902 * * [simplify]: Extracting #5: cost 98 inf + 2301 336.905 * * [simplify]: Extracting #6: cost 52 inf + 16656 336.912 * * [simplify]: Extracting #7: cost 2 inf + 33817 336.921 * * [simplify]: Extracting #8: cost 0 inf + 34492 336.929 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 336.929 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 336.929 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 336.930 * * [simplify]: iters left: 6 (15 enodes) 336.934 * * [simplify]: iters left: 5 (58 enodes) 336.944 * * [simplify]: iters left: 4 (101 enodes) 336.965 * * [simplify]: iters left: 3 (184 enodes) 337.012 * * [simplify]: iters left: 2 (365 enodes) 337.134 * * [simplify]: Extracting #0: cost 1 inf + 0 337.135 * * [simplify]: Extracting #1: cost 0 inf + 1 337.135 * [simplify]: Simplified to 0 337.135 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 337.135 * * * * [progress]: [ 485 / 2246 ] simplifiying candidate # 337.135 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 337.135 * * [simplify]: iters left: 6 (20 enodes) 337.141 * * [simplify]: iters left: 5 (75 enodes) 337.156 * * [simplify]: iters left: 4 (105 enodes) 337.173 * * [simplify]: iters left: 3 (174 enodes) 337.200 * * [simplify]: iters left: 2 (267 enodes) 337.254 * * [simplify]: iters left: 1 (391 enodes) 337.373 * * [simplify]: Extracting #0: cost 1 inf + 0 337.373 * * [simplify]: Extracting #1: cost 9 inf + 0 337.374 * * [simplify]: Extracting #2: cost 74 inf + 2 337.374 * * [simplify]: Extracting #3: cost 120 inf + 85 337.375 * * [simplify]: Extracting #4: cost 106 inf + 2580 337.376 * * [simplify]: Extracting #5: cost 79 inf + 6594 337.380 * * [simplify]: Extracting #6: cost 31 inf + 20944 337.388 * * [simplify]: Extracting #7: cost 0 inf + 30581 337.399 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 337.399 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))))) 337.399 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1))) 337.399 * * [simplify]: iters left: 6 (14 enodes) 337.403 * * [simplify]: iters left: 5 (51 enodes) 337.412 * * [simplify]: iters left: 4 (77 enodes) 337.424 * * [simplify]: iters left: 3 (112 enodes) 337.444 * * [simplify]: iters left: 2 (165 enodes) 337.470 * * [simplify]: iters left: 1 (238 enodes) 337.518 * * [simplify]: Extracting #0: cost 1 inf + 0 337.518 * * [simplify]: Extracting #1: cost 0 inf + 1 337.518 * [simplify]: Simplified to 0 337.518 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 337.518 * * * * [progress]: [ 486 / 2246 ] simplifiying candidate # 337.518 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 337.518 * * [simplify]: iters left: 6 (19 enodes) 337.525 * * [simplify]: iters left: 5 (75 enodes) 337.540 * * [simplify]: iters left: 4 (107 enodes) 337.558 * * [simplify]: iters left: 3 (176 enodes) 337.588 * * [simplify]: iters left: 2 (289 enodes) 337.655 * * [simplify]: iters left: 1 (472 enodes) 337.860 * * [simplify]: Extracting #0: cost 1 inf + 0 337.860 * * [simplify]: Extracting #1: cost 9 inf + 0 337.861 * * [simplify]: Extracting #2: cost 89 inf + 2 337.861 * * [simplify]: Extracting #3: cost 154 inf + 4 337.862 * * [simplify]: Extracting #4: cost 143 inf + 1848 337.867 * * [simplify]: Extracting #5: cost 46 inf + 25532 337.878 * * [simplify]: Extracting #6: cost 0 inf + 38324 337.891 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 337.891 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))))) 337.891 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1)))) 337.891 * * [simplify]: iters left: 6 (15 enodes) 337.897 * * [simplify]: iters left: 5 (58 enodes) 337.908 * * [simplify]: iters left: 4 (94 enodes) 337.924 * * [simplify]: iters left: 3 (132 enodes) 337.944 * * [simplify]: iters left: 2 (179 enodes) 337.982 * * [simplify]: iters left: 1 (300 enodes) 338.067 * * [simplify]: Extracting #0: cost 1 inf + 0 338.068 * * [simplify]: Extracting #1: cost 0 inf + 1 338.068 * [simplify]: Simplified to 0 338.068 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 338.068 * * * * [progress]: [ 487 / 2246 ] simplifiying candidate # 338.068 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 338.068 * * [simplify]: iters left: 6 (19 enodes) 338.078 * * [simplify]: iters left: 5 (75 enodes) 338.090 * * [simplify]: iters left: 4 (107 enodes) 338.109 * * [simplify]: iters left: 3 (176 enodes) 338.140 * * [simplify]: iters left: 2 (289 enodes) 338.208 * * [simplify]: iters left: 1 (472 enodes) 338.415 * * [simplify]: Extracting #0: cost 1 inf + 0 338.415 * * [simplify]: Extracting #1: cost 9 inf + 0 338.415 * * [simplify]: Extracting #2: cost 89 inf + 2 338.416 * * [simplify]: Extracting #3: cost 154 inf + 4 338.416 * * [simplify]: Extracting #4: cost 143 inf + 1848 338.421 * * [simplify]: Extracting #5: cost 46 inf + 25532 338.435 * * [simplify]: Extracting #6: cost 0 inf + 38324 338.445 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 338.445 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))))) 338.446 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1)))) 338.446 * * [simplify]: iters left: 6 (15 enodes) 338.451 * * [simplify]: iters left: 5 (58 enodes) 338.462 * * [simplify]: iters left: 4 (94 enodes) 338.478 * * [simplify]: iters left: 3 (132 enodes) 338.498 * * [simplify]: iters left: 2 (179 enodes) 338.536 * * [simplify]: iters left: 1 (300 enodes) 338.621 * * [simplify]: Extracting #0: cost 1 inf + 0 338.621 * * [simplify]: Extracting #1: cost 0 inf + 1 338.621 * [simplify]: Simplified to 0 338.621 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 338.621 * * * * [progress]: [ 488 / 2246 ] simplifiying candidate # 338.621 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 338.621 * * [simplify]: iters left: 6 (20 enodes) 338.630 * * [simplify]: iters left: 5 (75 enodes) 338.642 * * [simplify]: iters left: 4 (105 enodes) 338.660 * * [simplify]: iters left: 3 (174 enodes) 338.687 * * [simplify]: iters left: 2 (267 enodes) 338.741 * * [simplify]: iters left: 1 (391 enodes) 338.863 * * [simplify]: Extracting #0: cost 1 inf + 0 338.863 * * [simplify]: Extracting #1: cost 9 inf + 0 338.863 * * [simplify]: Extracting #2: cost 74 inf + 2 338.863 * * [simplify]: Extracting #3: cost 120 inf + 85 338.864 * * [simplify]: Extracting #4: cost 106 inf + 2580 338.865 * * [simplify]: Extracting #5: cost 79 inf + 6594 338.870 * * [simplify]: Extracting #6: cost 31 inf + 20944 338.880 * * [simplify]: Extracting #7: cost 0 inf + 30581 338.888 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 338.888 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))))) 338.888 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1))) 338.889 * * [simplify]: iters left: 6 (14 enodes) 338.892 * * [simplify]: iters left: 5 (51 enodes) 338.902 * * [simplify]: iters left: 4 (77 enodes) 338.915 * * [simplify]: iters left: 3 (112 enodes) 338.934 * * [simplify]: iters left: 2 (165 enodes) 338.963 * * [simplify]: iters left: 1 (238 enodes) 339.011 * * [simplify]: Extracting #0: cost 1 inf + 0 339.011 * * [simplify]: Extracting #1: cost 0 inf + 1 339.011 * [simplify]: Simplified to 0 339.011 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 339.011 * * * * [progress]: [ 489 / 2246 ] simplifiying candidate # 339.011 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 339.011 * * [simplify]: iters left: 6 (21 enodes) 339.020 * * [simplify]: iters left: 5 (85 enodes) 339.034 * * [simplify]: iters left: 4 (163 enodes) 339.068 * * [simplify]: iters left: 3 (346 enodes) 339.172 * * [simplify]: Extracting #0: cost 1 inf + 0 339.172 * * [simplify]: Extracting #1: cost 11 inf + 0 339.172 * * [simplify]: Extracting #2: cost 126 inf + 0 339.172 * * [simplify]: Extracting #3: cost 172 inf + 488 339.173 * * [simplify]: Extracting #4: cost 165 inf + 1333 339.176 * * [simplify]: Extracting #5: cost 108 inf + 20269 339.189 * * [simplify]: Extracting #6: cost 18 inf + 56930 339.205 * * [simplify]: Extracting #7: cost 0 inf + 64584 339.223 * [simplify]: Simplified to (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 339.223 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 339.224 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 339.224 * * [simplify]: iters left: 6 (15 enodes) 339.228 * * [simplify]: iters left: 5 (62 enodes) 339.240 * * [simplify]: iters left: 4 (118 enodes) 339.266 * * [simplify]: iters left: 3 (252 enodes) 339.346 * * [simplify]: Extracting #0: cost 1 inf + 0 339.346 * * [simplify]: Extracting #1: cost 0 inf + 1 339.347 * [simplify]: Simplified to 0 339.347 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 339.347 * * * * [progress]: [ 490 / 2246 ] simplifiying candidate # 339.347 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 339.347 * * [simplify]: iters left: 6 (20 enodes) 339.354 * * [simplify]: iters left: 5 (80 enodes) 339.368 * * [simplify]: iters left: 4 (141 enodes) 339.396 * * [simplify]: iters left: 3 (275 enodes) 339.466 * * [simplify]: Extracting #0: cost 1 inf + 0 339.466 * * [simplify]: Extracting #1: cost 11 inf + 0 339.466 * * [simplify]: Extracting #2: cost 89 inf + 0 339.467 * * [simplify]: Extracting #3: cost 120 inf + 85 339.467 * * [simplify]: Extracting #4: cost 113 inf + 890 339.468 * * [simplify]: Extracting #5: cost 103 inf + 2140 339.471 * * [simplify]: Extracting #6: cost 45 inf + 20220 339.481 * * [simplify]: Extracting #7: cost 2 inf + 35010 339.489 * * [simplify]: Extracting #8: cost 0 inf + 35887 339.498 * [simplify]: Simplified to (- (* (/ (* (cbrt 1/2) (cbrt 1/2)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt 1/2)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 339.498 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (* (cbrt 1/2) (cbrt 1/2)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt 1/2)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 339.498 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 339.498 * * [simplify]: iters left: 6 (14 enodes) 339.502 * * [simplify]: iters left: 5 (57 enodes) 339.513 * * [simplify]: iters left: 4 (98 enodes) 339.532 * * [simplify]: iters left: 3 (181 enodes) 339.579 * * [simplify]: iters left: 2 (360 enodes) 339.706 * * [simplify]: Extracting #0: cost 1 inf + 0 339.706 * * [simplify]: Extracting #1: cost 0 inf + 1 339.706 * [simplify]: Simplified to 0 339.706 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 339.706 * * * * [progress]: [ 491 / 2246 ] simplifiying candidate # 339.706 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 339.706 * * [simplify]: iters left: 6 (19 enodes) 339.713 * * [simplify]: iters left: 5 (74 enodes) 339.728 * * [simplify]: iters left: 4 (104 enodes) 339.746 * * [simplify]: iters left: 3 (173 enodes) 339.774 * * [simplify]: iters left: 2 (266 enodes) 339.829 * * [simplify]: iters left: 1 (391 enodes) 339.953 * * [simplify]: Extracting #0: cost 1 inf + 0 339.953 * * [simplify]: Extracting #1: cost 9 inf + 0 339.953 * * [simplify]: Extracting #2: cost 74 inf + 2 339.953 * * [simplify]: Extracting #3: cost 120 inf + 85 339.954 * * [simplify]: Extracting #4: cost 108 inf + 2178 339.958 * * [simplify]: Extracting #5: cost 39 inf + 19051 339.965 * * [simplify]: Extracting #6: cost 0 inf + 30581 339.976 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 339.976 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))))) 339.976 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1))) 339.977 * * [simplify]: iters left: 6 (13 enodes) 339.980 * * [simplify]: iters left: 5 (50 enodes) 339.990 * * [simplify]: iters left: 4 (76 enodes) 340.002 * * [simplify]: iters left: 3 (111 enodes) 340.019 * * [simplify]: iters left: 2 (147 enodes) 340.044 * * [simplify]: iters left: 1 (234 enodes) 340.094 * * [simplify]: Extracting #0: cost 1 inf + 0 340.094 * * [simplify]: Extracting #1: cost 0 inf + 1 340.094 * [simplify]: Simplified to 0 340.094 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 340.094 * * * * [progress]: [ 492 / 2246 ] simplifiying candidate # 340.094 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 340.094 * * [simplify]: iters left: 6 (18 enodes) 340.101 * * [simplify]: iters left: 5 (74 enodes) 340.116 * * [simplify]: iters left: 4 (106 enodes) 340.134 * * [simplify]: iters left: 3 (175 enodes) 340.165 * * [simplify]: iters left: 2 (288 enodes) 340.235 * * [simplify]: iters left: 1 (471 enodes) 340.439 * * [simplify]: Extracting #0: cost 1 inf + 0 340.439 * * [simplify]: Extracting #1: cost 9 inf + 0 340.440 * * [simplify]: Extracting #2: cost 90 inf + 2 340.440 * * [simplify]: Extracting #3: cost 159 inf + 85 340.441 * * [simplify]: Extracting #4: cost 141 inf + 2780 340.443 * * [simplify]: Extracting #5: cost 113 inf + 6900 340.445 * * [simplify]: Extracting #6: cost 102 inf + 8621 340.451 * * [simplify]: Extracting #7: cost 36 inf + 27866 340.461 * * [simplify]: Extracting #8: cost 0 inf + 39771 340.475 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 340.475 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))))) 340.475 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1)))) 340.476 * * [simplify]: iters left: 6 (14 enodes) 340.481 * * [simplify]: iters left: 5 (57 enodes) 340.492 * * [simplify]: iters left: 4 (93 enodes) 340.508 * * [simplify]: iters left: 3 (131 enodes) 340.528 * * [simplify]: iters left: 2 (178 enodes) 340.566 * * [simplify]: iters left: 1 (299 enodes) 340.651 * * [simplify]: Extracting #0: cost 1 inf + 0 340.651 * * [simplify]: Extracting #1: cost 0 inf + 1 340.651 * [simplify]: Simplified to 0 340.652 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 340.652 * * * * [progress]: [ 493 / 2246 ] simplifiying candidate # 340.652 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 340.652 * * [simplify]: iters left: 6 (18 enodes) 340.659 * * [simplify]: iters left: 5 (74 enodes) 340.675 * * [simplify]: iters left: 4 (106 enodes) 340.693 * * [simplify]: iters left: 3 (175 enodes) 340.724 * * [simplify]: iters left: 2 (288 enodes) 340.792 * * [simplify]: iters left: 1 (471 enodes) 340.996 * * [simplify]: Extracting #0: cost 1 inf + 0 340.996 * * [simplify]: Extracting #1: cost 9 inf + 0 340.997 * * [simplify]: Extracting #2: cost 90 inf + 2 340.997 * * [simplify]: Extracting #3: cost 159 inf + 85 340.998 * * [simplify]: Extracting #4: cost 141 inf + 2780 341.000 * * [simplify]: Extracting #5: cost 113 inf + 6900 341.002 * * [simplify]: Extracting #6: cost 102 inf + 8621 341.008 * * [simplify]: Extracting #7: cost 36 inf + 27866 341.019 * * [simplify]: Extracting #8: cost 0 inf + 39771 341.032 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 341.032 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))))) 341.033 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1)))) 341.033 * * [simplify]: iters left: 6 (14 enodes) 341.038 * * [simplify]: iters left: 5 (57 enodes) 341.049 * * [simplify]: iters left: 4 (93 enodes) 341.065 * * [simplify]: iters left: 3 (131 enodes) 341.085 * * [simplify]: iters left: 2 (178 enodes) 341.123 * * [simplify]: iters left: 1 (299 enodes) 341.208 * * [simplify]: Extracting #0: cost 1 inf + 0 341.208 * * [simplify]: Extracting #1: cost 0 inf + 1 341.208 * [simplify]: Simplified to 0 341.208 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 341.208 * * * * [progress]: [ 494 / 2246 ] simplifiying candidate # 341.208 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 341.209 * * [simplify]: iters left: 6 (19 enodes) 341.216 * * [simplify]: iters left: 5 (74 enodes) 341.231 * * [simplify]: iters left: 4 (104 enodes) 341.248 * * [simplify]: iters left: 3 (173 enodes) 341.277 * * [simplify]: iters left: 2 (266 enodes) 341.332 * * [simplify]: iters left: 1 (391 enodes) 341.457 * * [simplify]: Extracting #0: cost 1 inf + 0 341.457 * * [simplify]: Extracting #1: cost 9 inf + 0 341.457 * * [simplify]: Extracting #2: cost 74 inf + 2 341.458 * * [simplify]: Extracting #3: cost 120 inf + 85 341.458 * * [simplify]: Extracting #4: cost 108 inf + 2178 341.462 * * [simplify]: Extracting #5: cost 39 inf + 19051 341.470 * * [simplify]: Extracting #6: cost 0 inf + 30581 341.479 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 341.479 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))))) 341.481 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1))) 341.482 * * [simplify]: iters left: 6 (13 enodes) 341.485 * * [simplify]: iters left: 5 (50 enodes) 341.495 * * [simplify]: iters left: 4 (76 enodes) 341.507 * * [simplify]: iters left: 3 (111 enodes) 341.526 * * [simplify]: iters left: 2 (147 enodes) 341.551 * * [simplify]: iters left: 1 (234 enodes) 341.602 * * [simplify]: Extracting #0: cost 1 inf + 0 341.602 * * [simplify]: Extracting #1: cost 0 inf + 1 341.602 * [simplify]: Simplified to 0 341.602 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 341.602 * * * * [progress]: [ 495 / 2246 ] simplifiying candidate # 341.602 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 341.602 * * [simplify]: iters left: 6 (22 enodes) 341.610 * * [simplify]: iters left: 5 (88 enodes) 341.628 * * [simplify]: iters left: 4 (170 enodes) 341.660 * * [simplify]: iters left: 3 (337 enodes) 341.746 * * [simplify]: Extracting #0: cost 1 inf + 0 341.746 * * [simplify]: Extracting #1: cost 11 inf + 0 341.746 * * [simplify]: Extracting #2: cost 116 inf + 0 341.747 * * [simplify]: Extracting #3: cost 178 inf + 328 341.751 * * [simplify]: Extracting #4: cost 158 inf + 2592 341.752 * * [simplify]: Extracting #5: cost 155 inf + 3241 341.754 * * [simplify]: Extracting #6: cost 132 inf + 10936 341.766 * * [simplify]: Extracting #7: cost 21 inf + 55209 341.782 * * [simplify]: Extracting #8: cost 1 inf + 63533 341.799 * * [simplify]: Extracting #9: cost 0 inf + 63951 341.816 * [simplify]: Simplified to (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 341.816 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (fma (- (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 341.817 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 341.817 * * [simplify]: iters left: 6 (16 enodes) 341.821 * * [simplify]: iters left: 5 (65 enodes) 341.833 * * [simplify]: iters left: 4 (125 enodes) 341.858 * * [simplify]: iters left: 3 (242 enodes) 341.920 * * [simplify]: Extracting #0: cost 1 inf + 0 341.920 * * [simplify]: Extracting #1: cost 0 inf + 1 341.920 * [simplify]: Simplified to 0 341.920 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 341.920 * * * * [progress]: [ 496 / 2246 ] simplifiying candidate # 341.920 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 341.921 * * [simplify]: iters left: 6 (21 enodes) 341.927 * * [simplify]: iters left: 5 (83 enodes) 341.942 * * [simplify]: iters left: 4 (146 enodes) 341.967 * * [simplify]: iters left: 3 (252 enodes) 342.024 * * [simplify]: Extracting #0: cost 1 inf + 0 342.024 * * [simplify]: Extracting #1: cost 11 inf + 0 342.024 * * [simplify]: Extracting #2: cost 95 inf + 0 342.025 * * [simplify]: Extracting #3: cost 132 inf + 529 342.025 * * [simplify]: Extracting #4: cost 125 inf + 1293 342.026 * * [simplify]: Extracting #5: cost 114 inf + 2732 342.030 * * [simplify]: Extracting #6: cost 57 inf + 19922 342.038 * * [simplify]: Extracting #7: cost 2 inf + 38933 342.050 * * [simplify]: Extracting #8: cost 0 inf + 39688 342.060 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 342.060 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 342.060 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 342.060 * * [simplify]: iters left: 6 (15 enodes) 342.064 * * [simplify]: iters left: 5 (60 enodes) 342.075 * * [simplify]: iters left: 4 (103 enodes) 342.093 * * [simplify]: iters left: 3 (167 enodes) 342.132 * * [simplify]: iters left: 2 (361 enodes) 342.268 * * [simplify]: Extracting #0: cost 1 inf + 0 342.268 * * [simplify]: Extracting #1: cost 0 inf + 1 342.268 * [simplify]: Simplified to 0 342.268 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 342.269 * * * * [progress]: [ 497 / 2246 ] simplifiying candidate # 342.269 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 342.269 * * [simplify]: iters left: 6 (20 enodes) 342.276 * * [simplify]: iters left: 5 (77 enodes) 342.293 * * [simplify]: iters left: 4 (129 enodes) 342.312 * * [simplify]: iters left: 3 (213 enodes) 342.344 * * [simplify]: iters left: 2 (329 enodes) 342.406 * * [simplify]: iters left: 1 (450 enodes) 342.511 * * [simplify]: Extracting #0: cost 1 inf + 0 342.511 * * [simplify]: Extracting #1: cost 17 inf + 0 342.511 * * [simplify]: Extracting #2: cost 82 inf + 2 342.512 * * [simplify]: Extracting #3: cost 109 inf + 87 342.512 * * [simplify]: Extracting #4: cost 104 inf + 1255 342.513 * * [simplify]: Extracting #5: cost 84 inf + 4554 342.518 * * [simplify]: Extracting #6: cost 22 inf + 22230 342.526 * * [simplify]: Extracting #7: cost 0 inf + 28803 342.534 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 342.534 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))))) 342.535 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1))) 342.535 * * [simplify]: iters left: 6 (14 enodes) 342.538 * * [simplify]: iters left: 5 (53 enodes) 342.550 * * [simplify]: iters left: 4 (92 enodes) 342.564 * * [simplify]: iters left: 3 (137 enodes) 342.584 * * [simplify]: iters left: 2 (188 enodes) 342.611 * * [simplify]: iters left: 1 (283 enodes) 342.660 * * [simplify]: Extracting #0: cost 1 inf + 0 342.660 * * [simplify]: Extracting #1: cost 0 inf + 1 342.660 * [simplify]: Simplified to 0 342.660 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 342.660 * * * * [progress]: [ 498 / 2246 ] simplifiying candidate # 342.661 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 342.661 * * [simplify]: iters left: 6 (19 enodes) 342.668 * * [simplify]: iters left: 5 (77 enodes) 342.680 * * [simplify]: iters left: 4 (116 enodes) 342.701 * * [simplify]: iters left: 3 (201 enodes) 342.737 * * [simplify]: iters left: 2 (348 enodes) 342.813 * * [simplify]: Extracting #0: cost 1 inf + 0 342.813 * * [simplify]: Extracting #1: cost 11 inf + 0 342.813 * * [simplify]: Extracting #2: cost 60 inf + 2 342.813 * * [simplify]: Extracting #3: cost 99 inf + 87 342.814 * * [simplify]: Extracting #4: cost 94 inf + 786 342.814 * * [simplify]: Extracting #5: cost 77 inf + 2852 342.820 * * [simplify]: Extracting #6: cost 22 inf + 18162 342.826 * * [simplify]: Extracting #7: cost 0 inf + 24187 342.832 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 342.832 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))))) 342.832 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1)))) 342.832 * * [simplify]: iters left: 6 (15 enodes) 342.838 * * [simplify]: iters left: 5 (60 enodes) 342.848 * * [simplify]: iters left: 4 (93 enodes) 342.863 * * [simplify]: iters left: 3 (149 enodes) 342.886 * * [simplify]: iters left: 2 (229 enodes) 342.929 * * [simplify]: iters left: 1 (341 enodes) 343.009 * * [simplify]: Extracting #0: cost 1 inf + 0 343.009 * * [simplify]: Extracting #1: cost 0 inf + 1 343.009 * [simplify]: Simplified to 0 343.009 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 343.009 * * * * [progress]: [ 499 / 2246 ] simplifiying candidate # 343.010 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 343.010 * * [simplify]: iters left: 6 (19 enodes) 343.019 * * [simplify]: iters left: 5 (77 enodes) 343.032 * * [simplify]: iters left: 4 (116 enodes) 343.051 * * [simplify]: iters left: 3 (201 enodes) 343.088 * * [simplify]: iters left: 2 (348 enodes) 343.165 * * [simplify]: Extracting #0: cost 1 inf + 0 343.165 * * [simplify]: Extracting #1: cost 11 inf + 0 343.165 * * [simplify]: Extracting #2: cost 60 inf + 2 343.165 * * [simplify]: Extracting #3: cost 99 inf + 87 343.166 * * [simplify]: Extracting #4: cost 94 inf + 786 343.167 * * [simplify]: Extracting #5: cost 77 inf + 2852 343.170 * * [simplify]: Extracting #6: cost 22 inf + 18162 343.176 * * [simplify]: Extracting #7: cost 0 inf + 24187 343.182 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 343.182 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))))) 343.183 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1)))) 343.183 * * [simplify]: iters left: 6 (15 enodes) 343.189 * * [simplify]: iters left: 5 (60 enodes) 343.199 * * [simplify]: iters left: 4 (93 enodes) 343.214 * * [simplify]: iters left: 3 (149 enodes) 343.239 * * [simplify]: iters left: 2 (229 enodes) 343.280 * * [simplify]: iters left: 1 (341 enodes) 343.361 * * [simplify]: Extracting #0: cost 1 inf + 0 343.361 * * [simplify]: Extracting #1: cost 0 inf + 1 343.361 * [simplify]: Simplified to 0 343.361 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 343.361 * * * * [progress]: [ 500 / 2246 ] simplifiying candidate # 343.362 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 343.362 * * [simplify]: iters left: 6 (20 enodes) 343.368 * * [simplify]: iters left: 5 (77 enodes) 343.381 * * [simplify]: iters left: 4 (129 enodes) 343.401 * * [simplify]: iters left: 3 (213 enodes) 343.437 * * [simplify]: iters left: 2 (329 enodes) 343.500 * * [simplify]: iters left: 1 (450 enodes) 343.605 * * [simplify]: Extracting #0: cost 1 inf + 0 343.605 * * [simplify]: Extracting #1: cost 17 inf + 0 343.605 * * [simplify]: Extracting #2: cost 82 inf + 2 343.608 * * [simplify]: Extracting #3: cost 109 inf + 87 343.609 * * [simplify]: Extracting #4: cost 104 inf + 1255 343.610 * * [simplify]: Extracting #5: cost 84 inf + 4554 343.615 * * [simplify]: Extracting #6: cost 22 inf + 22230 343.623 * * [simplify]: Extracting #7: cost 0 inf + 28803 343.631 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 343.631 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))))) 343.631 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1))) 343.632 * * [simplify]: iters left: 6 (14 enodes) 343.635 * * [simplify]: iters left: 5 (53 enodes) 343.645 * * [simplify]: iters left: 4 (92 enodes) 343.659 * * [simplify]: iters left: 3 (137 enodes) 343.679 * * [simplify]: iters left: 2 (188 enodes) 343.710 * * [simplify]: iters left: 1 (283 enodes) 343.759 * * [simplify]: Extracting #0: cost 1 inf + 0 343.759 * * [simplify]: Extracting #1: cost 0 inf + 1 343.759 * [simplify]: Simplified to 0 343.759 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 343.759 * * * * [progress]: [ 501 / 2246 ] simplifiying candidate # 343.759 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))) 343.760 * * [simplify]: iters left: 6 (18 enodes) 343.766 * * [simplify]: iters left: 5 (71 enodes) 343.779 * * [simplify]: iters left: 4 (106 enodes) 343.796 * * [simplify]: iters left: 3 (176 enodes) 343.827 * * [simplify]: iters left: 2 (266 enodes) 343.880 * * [simplify]: iters left: 1 (397 enodes) 344.016 * * [simplify]: Extracting #0: cost 1 inf + 0 344.016 * * [simplify]: Extracting #1: cost 11 inf + 0 344.017 * * [simplify]: Extracting #2: cost 82 inf + 2 344.017 * * [simplify]: Extracting #3: cost 131 inf + 207 344.018 * * [simplify]: Extracting #4: cost 121 inf + 2079 344.019 * * [simplify]: Extracting #5: cost 86 inf + 7326 344.024 * * [simplify]: Extracting #6: cost 28 inf + 24181 344.033 * * [simplify]: Extracting #7: cost 0 inf + 32962 344.042 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 344.042 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1 (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))))) 344.042 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1 (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1)) 344.042 * * [simplify]: iters left: 6 (12 enodes) 344.046 * * [simplify]: iters left: 5 (47 enodes) 344.055 * * [simplify]: iters left: 4 (79 enodes) 344.071 * * [simplify]: iters left: 3 (107 enodes) 344.091 * * [simplify]: iters left: 2 (167 enodes) 344.118 * * [simplify]: iters left: 1 (239 enodes) 344.166 * * [simplify]: Extracting #0: cost 1 inf + 0 344.166 * * [simplify]: Extracting #1: cost 0 inf + 1 344.166 * [simplify]: Simplified to 0 344.166 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 344.166 * * * * [progress]: [ 502 / 2246 ] simplifiying candidate # 344.166 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))) 344.166 * * [simplify]: iters left: 6 (18 enodes) 344.172 * * [simplify]: iters left: 5 (72 enodes) 344.184 * * [simplify]: iters left: 4 (119 enodes) 344.206 * * [simplify]: iters left: 3 (199 enodes) 344.242 * * [simplify]: iters left: 2 (330 enodes) 344.315 * * [simplify]: iters left: 1 (467 enodes) 344.469 * * [simplify]: Extracting #0: cost 1 inf + 0 344.469 * * [simplify]: Extracting #1: cost 19 inf + 0 344.469 * * [simplify]: Extracting #2: cost 73 inf + 2 344.470 * * [simplify]: Extracting #3: cost 105 inf + 86 344.470 * * [simplify]: Extracting #4: cost 100 inf + 1513 344.471 * * [simplify]: Extracting #5: cost 77 inf + 4735 344.476 * * [simplify]: Extracting #6: cost 28 inf + 17158 344.484 * * [simplify]: Extracting #7: cost 1 inf + 25535 344.492 * * [simplify]: Extracting #8: cost 0 inf + 25808 344.500 * [simplify]: Simplified to (* (/ 1 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- 1/2 (/ 1/2 (hypot 1 x)))) 344.500 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ 1 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- 1/2 (/ 1/2 (hypot 1 x)))) (fma (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (hypot 1 x)) (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))))) 344.501 * [simplify]: Simplifying (fma (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (hypot 1 x)) (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x)))) 344.501 * * [simplify]: iters left: 6 (12 enodes) 344.504 * * [simplify]: iters left: 5 (50 enodes) 344.515 * * [simplify]: iters left: 4 (76 enodes) 344.529 * * [simplify]: iters left: 3 (143 enodes) 344.557 * * [simplify]: iters left: 2 (233 enodes) 344.607 * * [simplify]: iters left: 1 (369 enodes) 344.698 * * [simplify]: Extracting #0: cost 1 inf + 0 344.698 * * [simplify]: Extracting #1: cost 0 inf + 1 344.698 * [simplify]: Simplified to 0 344.698 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (* (/ 1 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- 1/2 (/ 1/2 (hypot 1 x)))) 0))) 344.698 * * * * [progress]: [ 503 / 2246 ] simplifiying candidate # 344.698 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 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))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))) 344.698 * * [simplify]: iters left: 6 (26 enodes) 344.708 * * [simplify]: iters left: 5 (108 enodes) 344.730 * * [simplify]: iters left: 4 (258 enodes) 344.798 * * [simplify]: Extracting #0: cost 1 inf + 0 344.798 * * [simplify]: Extracting #1: cost 11 inf + 0 344.798 * * [simplify]: Extracting #2: cost 110 inf + 0 344.798 * * [simplify]: Extracting #3: cost 181 inf + 489 344.800 * * [simplify]: Extracting #4: cost 153 inf + 7786 344.809 * * [simplify]: Extracting #5: cost 32 inf + 41865 344.820 * * [simplify]: Extracting #6: cost 10 inf + 50284 344.832 * * [simplify]: Extracting #7: cost 2 inf + 53520 344.844 * * [simplify]: Extracting #8: cost 0 inf + 54549 344.859 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (cbrt 1/2))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)) (- (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)))) 344.859 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (cbrt 1/2))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)) (- (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)))) (fma (- (+ (* 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 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (* (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))))) 344.859 * [simplify]: Simplifying (fma (- (+ (* 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 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (* (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))))) 344.860 * * [simplify]: iters left: 6 (20 enodes) 344.866 * * [simplify]: iters left: 5 (87 enodes) 344.886 * * [simplify]: iters left: 4 (224 enodes) 344.955 * * [simplify]: Extracting #0: cost 1 inf + 0 344.955 * * [simplify]: Extracting #1: cost 14 inf + 0 344.955 * * [simplify]: Extracting #2: cost 116 inf + 0 344.956 * * [simplify]: Extracting #3: cost 173 inf + 989 344.959 * * [simplify]: Extracting #4: cost 109 inf + 16215 344.968 * * [simplify]: Extracting #5: cost 31 inf + 40092 344.979 * * [simplify]: Extracting #6: cost 1 inf + 50253 344.991 * * [simplify]: Extracting #7: cost 0 inf + 50642 345.003 * [simplify]: Simplified to (- (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 345.003 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 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))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))) (- (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))))) 345.003 * * * * [progress]: [ 504 / 2246 ] simplifiying candidate # 345.004 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 345.004 * * [simplify]: iters left: 6 (21 enodes) 345.014 * * [simplify]: iters left: 5 (81 enodes) 345.028 * * [simplify]: iters left: 4 (150 enodes) 345.056 * * [simplify]: iters left: 3 (315 enodes) 345.131 * * [simplify]: Extracting #0: cost 1 inf + 0 345.131 * * [simplify]: Extracting #1: cost 17 inf + 0 345.131 * * [simplify]: Extracting #2: cost 124 inf + 0 345.132 * * [simplify]: Extracting #3: cost 175 inf + 489 345.133 * * [simplify]: Extracting #4: cost 186 inf + 1593 345.134 * * [simplify]: Extracting #5: cost 146 inf + 7242 345.138 * * [simplify]: Extracting #6: cost 96 inf + 19407 345.151 * * [simplify]: Extracting #7: cost 17 inf + 43421 345.162 * * [simplify]: Extracting #8: cost 0 inf + 48934 345.174 * [simplify]: Simplified to (fma (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1) (/ (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 345.174 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1) (/ (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 345.174 * [simplify]: Simplifying (fma (- (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 345.174 * * [simplify]: iters left: 6 (15 enodes) 345.178 * * [simplify]: iters left: 5 (56 enodes) 345.188 * * [simplify]: iters left: 4 (109 enodes) 345.211 * * [simplify]: iters left: 3 (271 enodes) 345.278 * * [simplify]: Extracting #0: cost 1 inf + 0 345.278 * * [simplify]: Extracting #1: cost 0 inf + 1 345.278 * [simplify]: Simplified to 0 345.278 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 345.278 * * * * [progress]: [ 505 / 2246 ] simplifiying candidate # 345.278 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 345.279 * * [simplify]: iters left: 6 (20 enodes) 345.284 * * [simplify]: iters left: 5 (78 enodes) 345.300 * * [simplify]: iters left: 4 (113 enodes) 345.318 * * [simplify]: iters left: 3 (174 enodes) 345.346 * * [simplify]: iters left: 2 (272 enodes) 345.397 * * [simplify]: iters left: 1 (381 enodes) 345.477 * * [simplify]: Extracting #0: cost 1 inf + 0 345.477 * * [simplify]: Extracting #1: cost 11 inf + 0 345.477 * * [simplify]: Extracting #2: cost 79 inf + 0 345.477 * * [simplify]: Extracting #3: cost 123 inf + 85 345.478 * * [simplify]: Extracting #4: cost 118 inf + 1191 345.481 * * [simplify]: Extracting #5: cost 80 inf + 11315 345.485 * * [simplify]: Extracting #6: cost 55 inf + 20497 345.494 * * [simplify]: Extracting #7: cost 12 inf + 50957 345.507 * * [simplify]: Extracting #8: cost 0 inf + 61892 345.518 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 345.518 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 345.519 * [simplify]: Simplifying (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 345.519 * * [simplify]: iters left: 6 (14 enodes) 345.523 * * [simplify]: iters left: 5 (53 enodes) 345.532 * * [simplify]: iters left: 4 (76 enodes) 345.546 * * [simplify]: iters left: 3 (134 enodes) 345.570 * * [simplify]: iters left: 2 (194 enodes) 345.604 * * [simplify]: iters left: 1 (293 enodes) 345.653 * * [simplify]: Extracting #0: cost 1 inf + 0 345.653 * * [simplify]: Extracting #1: cost 0 inf + 1 345.653 * [simplify]: Simplified to 0 345.653 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 345.654 * * * * [progress]: [ 506 / 2246 ] simplifiying candidate # 345.654 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 345.654 * * [simplify]: iters left: 6 (19 enodes) 345.663 * * [simplify]: iters left: 5 (69 enodes) 345.673 * * [simplify]: iters left: 4 (95 enodes) 345.687 * * [simplify]: iters left: 3 (137 enodes) 345.708 * * [simplify]: iters left: 2 (199 enodes) 345.746 * * [simplify]: iters left: 1 (246 enodes) 345.792 * * [simplify]: Extracting #0: cost 1 inf + 0 345.792 * * [simplify]: Extracting #1: cost 9 inf + 0 345.792 * * [simplify]: Extracting #2: cost 39 inf + 0 345.793 * * [simplify]: Extracting #3: cost 55 inf + 205 345.793 * * [simplify]: Extracting #4: cost 48 inf + 1647 345.794 * * [simplify]: Extracting #5: cost 41 inf + 2694 345.796 * * [simplify]: Extracting #6: cost 19 inf + 8939 345.801 * * [simplify]: Extracting #7: cost 4 inf + 13784 345.805 * * [simplify]: Extracting #8: cost 1 inf + 14758 345.809 * * [simplify]: Extracting #9: cost 0 inf + 15096 345.813 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 345.813 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 345.813 * [simplify]: Simplifying (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 345.813 * * [simplify]: iters left: 6 (13 enodes) 345.817 * * [simplify]: iters left: 5 (45 enodes) 345.824 * * [simplify]: iters left: 4 (60 enodes) 345.834 * * [simplify]: iters left: 3 (85 enodes) 345.848 * * [simplify]: iters left: 2 (102 enodes) 345.862 * * [simplify]: iters left: 1 (126 enodes) 345.881 * * [simplify]: Extracting #0: cost 1 inf + 0 345.881 * * [simplify]: Extracting #1: cost 0 inf + 1 345.881 * [simplify]: Simplified to 0 345.881 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 345.881 * * * * [progress]: [ 507 / 2246 ] simplifiying candidate # 345.882 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))) 345.882 * * [simplify]: iters left: 6 (23 enodes) 345.888 * * [simplify]: iters left: 5 (92 enodes) 345.904 * * [simplify]: iters left: 4 (179 enodes) 345.941 * * [simplify]: iters left: 3 (360 enodes) 346.018 * * [simplify]: Extracting #0: cost 1 inf + 0 346.018 * * [simplify]: Extracting #1: cost 11 inf + 0 346.018 * * [simplify]: Extracting #2: cost 85 inf + 0 346.018 * * [simplify]: Extracting #3: cost 131 inf + 2 346.019 * * [simplify]: Extracting #4: cost 130 inf + 448 346.019 * * [simplify]: Extracting #5: cost 123 inf + 1300 346.020 * * [simplify]: Extracting #6: cost 120 inf + 1576 346.021 * * [simplify]: Extracting #7: cost 110 inf + 3487 346.025 * * [simplify]: Extracting #8: cost 54 inf + 23997 346.037 * * [simplify]: Extracting #9: cost 2 inf + 47875 346.050 * * [simplify]: Extracting #10: cost 0 inf + 49002 346.062 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 346.062 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))))) 346.062 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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)))))))) 346.062 * * [simplify]: iters left: 6 (17 enodes) 346.067 * * [simplify]: iters left: 5 (69 enodes) 346.079 * * [simplify]: iters left: 4 (135 enodes) 346.112 * * [simplify]: iters left: 3 (301 enodes) 346.180 * * [simplify]: Extracting #0: cost 1 inf + 0 346.180 * * [simplify]: Extracting #1: cost 0 inf + 1 346.180 * [simplify]: Simplified to 0 346.180 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))) 0))) 346.180 * * * * [progress]: [ 508 / 2246 ] simplifiying candidate # 346.181 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 346.181 * * [simplify]: iters left: 6 (22 enodes) 346.187 * * [simplify]: iters left: 5 (86 enodes) 346.201 * * [simplify]: iters left: 4 (142 enodes) 346.225 * * [simplify]: iters left: 3 (232 enodes) 346.268 * * [simplify]: iters left: 2 (350 enodes) 346.340 * * [simplify]: iters left: 1 (480 enodes) 346.472 * * [simplify]: Extracting #0: cost 1 inf + 0 346.472 * * [simplify]: Extracting #1: cost 11 inf + 0 346.472 * * [simplify]: Extracting #2: cost 87 inf + 0 346.473 * * [simplify]: Extracting #3: cost 150 inf + 84 346.473 * * [simplify]: Extracting #4: cost 146 inf + 689 346.474 * * [simplify]: Extracting #5: cost 125 inf + 5208 346.483 * * [simplify]: Extracting #6: cost 46 inf + 36123 346.496 * * [simplify]: Extracting #7: cost 7 inf + 51989 346.509 * * [simplify]: Extracting #8: cost 0 inf + 54754 346.522 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 346.522 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 346.523 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 346.523 * * [simplify]: iters left: 6 (16 enodes) 346.527 * * [simplify]: iters left: 5 (63 enodes) 346.538 * * [simplify]: iters left: 4 (100 enodes) 346.555 * * [simplify]: iters left: 3 (175 enodes) 346.589 * * [simplify]: iters left: 2 (267 enodes) 346.636 * * [simplify]: iters left: 1 (373 enodes) 346.705 * * [simplify]: Extracting #0: cost 1 inf + 0 346.705 * * [simplify]: Extracting #1: cost 0 inf + 1 346.705 * [simplify]: Simplified to 0 346.705 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 346.705 * * * * [progress]: [ 509 / 2246 ] simplifiying candidate # 346.705 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 346.706 * * [simplify]: iters left: 6 (21 enodes) 346.712 * * [simplify]: iters left: 5 (81 enodes) 346.726 * * [simplify]: iters left: 4 (144 enodes) 346.752 * * [simplify]: iters left: 3 (254 enodes) 346.816 * * [simplify]: iters left: 2 (453 enodes) 346.947 * * [simplify]: Extracting #0: cost 1 inf + 0 346.947 * * [simplify]: Extracting #1: cost 13 inf + 0 346.947 * * [simplify]: Extracting #2: cost 66 inf + 0 346.948 * * [simplify]: Extracting #3: cost 121 inf + 206 346.948 * * [simplify]: Extracting #4: cost 116 inf + 915 346.949 * * [simplify]: Extracting #5: cost 110 inf + 1486 346.952 * * [simplify]: Extracting #6: cost 61 inf + 18185 346.959 * * [simplify]: Extracting #7: cost 5 inf + 41206 346.969 * * [simplify]: Extracting #8: cost 0 inf + 43277 346.978 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 346.978 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))))) 346.978 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1))) 346.979 * * [simplify]: iters left: 6 (15 enodes) 346.983 * * [simplify]: iters left: 5 (58 enodes) 346.993 * * [simplify]: iters left: 4 (100 enodes) 347.013 * * [simplify]: iters left: 3 (192 enodes) 347.060 * * [simplify]: iters left: 2 (333 enodes) 347.146 * * [simplify]: Extracting #0: cost 1 inf + 0 347.146 * * [simplify]: Extracting #1: cost 0 inf + 1 347.146 * [simplify]: Simplified to 0 347.146 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 347.146 * * * * [progress]: [ 510 / 2246 ] simplifiying candidate # 347.146 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 347.146 * * [simplify]: iters left: 6 (20 enodes) 347.153 * * [simplify]: iters left: 5 (79 enodes) 347.166 * * [simplify]: iters left: 4 (125 enodes) 347.188 * * [simplify]: iters left: 3 (227 enodes) 347.238 * * [simplify]: iters left: 2 (383 enodes) 347.329 * * [simplify]: Extracting #0: cost 1 inf + 0 347.330 * * [simplify]: Extracting #1: cost 11 inf + 0 347.330 * * [simplify]: Extracting #2: cost 57 inf + 0 347.330 * * [simplify]: Extracting #3: cost 93 inf + 83 347.330 * * [simplify]: Extracting #4: cost 91 inf + 572 347.331 * * [simplify]: Extracting #5: cost 85 inf + 1093 347.332 * * [simplify]: Extracting #6: cost 80 inf + 1622 347.334 * * [simplify]: Extracting #7: cost 36 inf + 14971 347.340 * * [simplify]: Extracting #8: cost 7 inf + 25264 347.348 * * [simplify]: Extracting #9: cost 0 inf + 27790 347.355 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 347.355 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))))) 347.356 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)))) 347.356 * * [simplify]: iters left: 6 (16 enodes) 347.361 * * [simplify]: iters left: 5 (63 enodes) 347.371 * * [simplify]: iters left: 4 (94 enodes) 347.389 * * [simplify]: iters left: 3 (179 enodes) 347.430 * * [simplify]: iters left: 2 (303 enodes) 347.499 * * [simplify]: iters left: 1 (423 enodes) 347.610 * * [simplify]: Extracting #0: cost 1 inf + 0 347.610 * * [simplify]: Extracting #1: cost 0 inf + 1 347.610 * [simplify]: Simplified to 0 347.610 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 347.610 * * * * [progress]: [ 511 / 2246 ] simplifiying candidate # 347.610 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 347.610 * * [simplify]: iters left: 6 (20 enodes) 347.617 * * [simplify]: iters left: 5 (79 enodes) 347.630 * * [simplify]: iters left: 4 (125 enodes) 347.652 * * [simplify]: iters left: 3 (227 enodes) 347.704 * * [simplify]: iters left: 2 (383 enodes) 347.798 * * [simplify]: Extracting #0: cost 1 inf + 0 347.798 * * [simplify]: Extracting #1: cost 11 inf + 0 347.798 * * [simplify]: Extracting #2: cost 57 inf + 0 347.798 * * [simplify]: Extracting #3: cost 93 inf + 83 347.799 * * [simplify]: Extracting #4: cost 91 inf + 572 347.799 * * [simplify]: Extracting #5: cost 85 inf + 1093 347.800 * * [simplify]: Extracting #6: cost 80 inf + 1622 347.802 * * [simplify]: Extracting #7: cost 36 inf + 14971 347.808 * * [simplify]: Extracting #8: cost 7 inf + 25264 347.814 * * [simplify]: Extracting #9: cost 0 inf + 27790 347.821 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 347.821 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))))) 347.821 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)))) 347.822 * * [simplify]: iters left: 6 (16 enodes) 347.827 * * [simplify]: iters left: 5 (63 enodes) 347.838 * * [simplify]: iters left: 4 (94 enodes) 347.855 * * [simplify]: iters left: 3 (179 enodes) 347.897 * * [simplify]: iters left: 2 (303 enodes) 347.967 * * [simplify]: iters left: 1 (423 enodes) 348.077 * * [simplify]: Extracting #0: cost 1 inf + 0 348.077 * * [simplify]: Extracting #1: cost 0 inf + 1 348.077 * [simplify]: Simplified to 0 348.077 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 348.077 * * * * [progress]: [ 512 / 2246 ] simplifiying candidate # 348.078 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 348.078 * * [simplify]: iters left: 6 (21 enodes) 348.084 * * [simplify]: iters left: 5 (81 enodes) 348.099 * * [simplify]: iters left: 4 (144 enodes) 348.127 * * [simplify]: iters left: 3 (254 enodes) 348.189 * * [simplify]: iters left: 2 (453 enodes) 348.318 * * [simplify]: Extracting #0: cost 1 inf + 0 348.318 * * [simplify]: Extracting #1: cost 13 inf + 0 348.318 * * [simplify]: Extracting #2: cost 66 inf + 0 348.318 * * [simplify]: Extracting #3: cost 121 inf + 206 348.319 * * [simplify]: Extracting #4: cost 116 inf + 915 348.320 * * [simplify]: Extracting #5: cost 110 inf + 1486 348.322 * * [simplify]: Extracting #6: cost 61 inf + 18185 348.330 * * [simplify]: Extracting #7: cost 5 inf + 41206 348.340 * * [simplify]: Extracting #8: cost 0 inf + 43277 348.349 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 348.349 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))))) 348.349 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1))) 348.349 * * [simplify]: iters left: 6 (15 enodes) 348.353 * * [simplify]: iters left: 5 (58 enodes) 348.364 * * [simplify]: iters left: 4 (100 enodes) 348.384 * * [simplify]: iters left: 3 (192 enodes) 348.431 * * [simplify]: iters left: 2 (333 enodes) 348.517 * * [simplify]: Extracting #0: cost 1 inf + 0 348.517 * * [simplify]: Extracting #1: cost 0 inf + 1 348.517 * [simplify]: Simplified to 0 348.517 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 348.517 * * * * [progress]: [ 513 / 2246 ] simplifiying candidate # 348.518 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 348.518 * * [simplify]: iters left: 6 (22 enodes) 348.524 * * [simplify]: iters left: 5 (85 enodes) 348.538 * * [simplify]: iters left: 4 (140 enodes) 348.560 * * [simplify]: iters left: 3 (210 enodes) 348.597 * * [simplify]: iters left: 2 (311 enodes) 348.656 * * [simplify]: iters left: 1 (398 enodes) 348.727 * * [simplify]: Extracting #0: cost 1 inf + 0 348.727 * * [simplify]: Extracting #1: cost 11 inf + 0 348.727 * * [simplify]: Extracting #2: cost 54 inf + 0 348.727 * * [simplify]: Extracting #3: cost 84 inf + 368 348.728 * * [simplify]: Extracting #4: cost 85 inf + 976 348.728 * * [simplify]: Extracting #5: cost 81 inf + 1271 348.731 * * [simplify]: Extracting #6: cost 34 inf + 15186 348.738 * * [simplify]: Extracting #7: cost 4 inf + 26268 348.745 * * [simplify]: Extracting #8: cost 0 inf + 27660 348.753 * * [simplify]: Extracting #9: cost 0 inf + 27659 348.760 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 348.760 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 348.760 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 348.761 * * [simplify]: iters left: 6 (16 enodes) 348.765 * * [simplify]: iters left: 5 (62 enodes) 348.776 * * [simplify]: iters left: 4 (99 enodes) 348.792 * * [simplify]: iters left: 3 (150 enodes) 348.819 * * [simplify]: iters left: 2 (222 enodes) 348.854 * * [simplify]: iters left: 1 (302 enodes) 348.903 * * [simplify]: Extracting #0: cost 1 inf + 0 348.903 * * [simplify]: Extracting #1: cost 0 inf + 1 348.903 * [simplify]: Simplified to 0 348.903 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 348.903 * * * * [progress]: [ 514 / 2246 ] simplifiying candidate # 348.904 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 348.904 * * [simplify]: iters left: 6 (20 enodes) 348.910 * * [simplify]: iters left: 5 (76 enodes) 348.922 * * [simplify]: iters left: 4 (111 enodes) 348.942 * * [simplify]: iters left: 3 (161 enodes) 348.967 * * [simplify]: iters left: 2 (238 enodes) 349.010 * * [simplify]: iters left: 1 (298 enodes) 349.066 * * [simplify]: Extracting #0: cost 1 inf + 0 349.066 * * [simplify]: Extracting #1: cost 9 inf + 0 349.067 * * [simplify]: Extracting #2: cost 47 inf + 0 349.067 * * [simplify]: Extracting #3: cost 78 inf + 84 349.067 * * [simplify]: Extracting #4: cost 79 inf + 651 349.068 * * [simplify]: Extracting #5: cost 74 inf + 1269 349.069 * * [simplify]: Extracting #6: cost 39 inf + 10218 349.076 * * [simplify]: Extracting #7: cost 4 inf + 21611 349.081 * * [simplify]: Extracting #8: cost 0 inf + 22641 349.087 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 349.087 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 349.087 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 349.087 * * [simplify]: iters left: 6 (14 enodes) 349.091 * * [simplify]: iters left: 5 (54 enodes) 349.100 * * [simplify]: iters left: 4 (77 enodes) 349.113 * * [simplify]: iters left: 3 (106 enodes) 349.129 * * [simplify]: iters left: 2 (137 enodes) 349.150 * * [simplify]: iters left: 1 (167 enodes) 349.173 * * [simplify]: Extracting #0: cost 1 inf + 0 349.173 * * [simplify]: Extracting #1: cost 0 inf + 1 349.173 * [simplify]: Simplified to 0 349.173 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 349.173 * * * * [progress]: [ 515 / 2246 ] simplifiying candidate # 349.174 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 349.174 * * [simplify]: iters left: 6 (20 enodes) 349.180 * * [simplify]: iters left: 5 (76 enodes) 349.192 * * [simplify]: iters left: 4 (115 enodes) 349.211 * * [simplify]: iters left: 3 (180 enodes) 349.242 * * [simplify]: iters left: 2 (266 enodes) 349.299 * * [simplify]: iters left: 1 (347 enodes) 349.360 * * [simplify]: Extracting #0: cost 1 inf + 0 349.360 * * [simplify]: Extracting #1: cost 11 inf + 0 349.360 * * [simplify]: Extracting #2: cost 44 inf + 0 349.360 * * [simplify]: Extracting #3: cost 61 inf + 205 349.361 * * [simplify]: Extracting #4: cost 60 inf + 1163 349.362 * * [simplify]: Extracting #5: cost 48 inf + 3044 349.364 * * [simplify]: Extracting #6: cost 13 inf + 12866 349.369 * * [simplify]: Extracting #7: cost 0 inf + 16972 349.374 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 349.374 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))))) 349.374 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1))) 349.374 * * [simplify]: iters left: 6 (14 enodes) 349.378 * * [simplify]: iters left: 5 (53 enodes) 349.387 * * [simplify]: iters left: 4 (78 enodes) 349.401 * * [simplify]: iters left: 3 (126 enodes) 349.422 * * [simplify]: iters left: 2 (171 enodes) 349.454 * * [simplify]: iters left: 1 (225 enodes) 349.484 * * [simplify]: Extracting #0: cost 1 inf + 0 349.484 * * [simplify]: Extracting #1: cost 0 inf + 1 349.484 * [simplify]: Simplified to 0 349.484 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 349.484 * * * * [progress]: [ 516 / 2246 ] simplifiying candidate # 349.485 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 349.485 * * [simplify]: iters left: 6 (19 enodes) 349.491 * * [simplify]: iters left: 5 (74 enodes) 349.506 * * [simplify]: iters left: 4 (110 enodes) 349.524 * * [simplify]: iters left: 3 (164 enodes) 349.550 * * [simplify]: iters left: 2 (244 enodes) 349.597 * * [simplify]: iters left: 1 (303 enodes) 349.656 * * [simplify]: Extracting #0: cost 1 inf + 0 349.656 * * [simplify]: Extracting #1: cost 11 inf + 0 349.656 * * [simplify]: Extracting #2: cost 54 inf + 0 349.657 * * [simplify]: Extracting #3: cost 72 inf + 84 349.657 * * [simplify]: Extracting #4: cost 69 inf + 1025 349.658 * * [simplify]: Extracting #5: cost 57 inf + 3106 349.660 * * [simplify]: Extracting #6: cost 23 inf + 12400 349.665 * * [simplify]: Extracting #7: cost 0 inf + 19774 349.670 * * [simplify]: Extracting #8: cost 0 inf + 19773 349.675 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 349.675 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))))) 349.676 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)))) 349.676 * * [simplify]: iters left: 6 (15 enodes) 349.680 * * [simplify]: iters left: 5 (58 enodes) 349.690 * * [simplify]: iters left: 4 (84 enodes) 349.705 * * [simplify]: iters left: 3 (133 enodes) 349.727 * * [simplify]: iters left: 2 (175 enodes) 349.752 * * [simplify]: iters left: 1 (209 enodes) 349.781 * * [simplify]: Extracting #0: cost 1 inf + 0 349.781 * * [simplify]: Extracting #1: cost 0 inf + 1 349.781 * [simplify]: Simplified to 0 349.781 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 349.782 * * * * [progress]: [ 517 / 2246 ] simplifiying candidate # 349.782 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 349.782 * * [simplify]: iters left: 6 (19 enodes) 349.790 * * [simplify]: iters left: 5 (74 enodes) 349.803 * * [simplify]: iters left: 4 (110 enodes) 349.821 * * [simplify]: iters left: 3 (164 enodes) 349.846 * * [simplify]: iters left: 2 (244 enodes) 349.894 * * [simplify]: iters left: 1 (303 enodes) 349.953 * * [simplify]: Extracting #0: cost 1 inf + 0 349.953 * * [simplify]: Extracting #1: cost 11 inf + 0 349.953 * * [simplify]: Extracting #2: cost 54 inf + 0 349.954 * * [simplify]: Extracting #3: cost 72 inf + 84 349.954 * * [simplify]: Extracting #4: cost 69 inf + 1025 349.955 * * [simplify]: Extracting #5: cost 57 inf + 3106 349.957 * * [simplify]: Extracting #6: cost 23 inf + 12400 349.962 * * [simplify]: Extracting #7: cost 0 inf + 19774 349.967 * * [simplify]: Extracting #8: cost 0 inf + 19773 349.972 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 349.972 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))))) 349.973 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)))) 349.973 * * [simplify]: iters left: 6 (15 enodes) 349.977 * * [simplify]: iters left: 5 (58 enodes) 349.987 * * [simplify]: iters left: 4 (84 enodes) 350.004 * * [simplify]: iters left: 3 (133 enodes) 350.024 * * [simplify]: iters left: 2 (175 enodes) 350.048 * * [simplify]: iters left: 1 (209 enodes) 350.079 * * [simplify]: Extracting #0: cost 1 inf + 0 350.079 * * [simplify]: Extracting #1: cost 0 inf + 1 350.079 * [simplify]: Simplified to 0 350.079 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 350.079 * * * * [progress]: [ 518 / 2246 ] simplifiying candidate # 350.080 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 350.080 * * [simplify]: iters left: 6 (20 enodes) 350.086 * * [simplify]: iters left: 5 (76 enodes) 350.098 * * [simplify]: iters left: 4 (115 enodes) 350.117 * * [simplify]: iters left: 3 (180 enodes) 350.148 * * [simplify]: iters left: 2 (266 enodes) 350.203 * * [simplify]: iters left: 1 (347 enodes) 350.265 * * [simplify]: Extracting #0: cost 1 inf + 0 350.265 * * [simplify]: Extracting #1: cost 11 inf + 0 350.265 * * [simplify]: Extracting #2: cost 44 inf + 0 350.266 * * [simplify]: Extracting #3: cost 61 inf + 205 350.266 * * [simplify]: Extracting #4: cost 60 inf + 1163 350.267 * * [simplify]: Extracting #5: cost 48 inf + 3044 350.269 * * [simplify]: Extracting #6: cost 13 inf + 12866 350.274 * * [simplify]: Extracting #7: cost 0 inf + 16972 350.281 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 350.281 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))))) 350.281 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1))) 350.282 * * [simplify]: iters left: 6 (14 enodes) 350.285 * * [simplify]: iters left: 5 (53 enodes) 350.294 * * [simplify]: iters left: 4 (78 enodes) 350.308 * * [simplify]: iters left: 3 (126 enodes) 350.328 * * [simplify]: iters left: 2 (171 enodes) 350.361 * * [simplify]: iters left: 1 (225 enodes) 350.391 * * [simplify]: Extracting #0: cost 1 inf + 0 350.391 * * [simplify]: Extracting #1: cost 0 inf + 1 350.391 * [simplify]: Simplified to 0 350.391 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 350.391 * * * * [progress]: [ 519 / 2246 ] simplifiying candidate # 350.391 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 350.392 * * [simplify]: iters left: 6 (25 enodes) 350.398 * * [simplify]: iters left: 5 (104 enodes) 350.418 * * [simplify]: iters left: 4 (243 enodes) 350.497 * * [simplify]: Extracting #0: cost 1 inf + 0 350.497 * * [simplify]: Extracting #1: cost 11 inf + 0 350.498 * * [simplify]: Extracting #2: cost 153 inf + 0 350.498 * * [simplify]: Extracting #3: cost 274 inf + 2 350.499 * * [simplify]: Extracting #4: cost 269 inf + 1133 350.501 * * [simplify]: Extracting #5: cost 250 inf + 5550 350.504 * * [simplify]: Extracting #6: cost 219 inf + 15643 350.507 * * [simplify]: Extracting #7: cost 198 inf + 22421 350.522 * * [simplify]: Extracting #8: cost 67 inf + 97859 350.548 * * [simplify]: Extracting #9: cost 0 inf + 138545 350.578 * * [simplify]: Extracting #10: cost 0 inf + 138105 350.605 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (/ (cbrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (cbrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))))) 350.605 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (/ (cbrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (cbrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 350.606 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 350.606 * * [simplify]: iters left: 6 (21 enodes) 350.612 * * [simplify]: iters left: 5 (87 enodes) 350.628 * * [simplify]: iters left: 4 (200 enodes) 350.692 * * [simplify]: Extracting #0: cost 1 inf + 0 350.692 * * [simplify]: Extracting #1: cost 25 inf + 0 350.693 * * [simplify]: Extracting #2: cost 150 inf + 0 350.694 * * [simplify]: Extracting #3: cost 243 inf + 1 350.694 * * [simplify]: Extracting #4: cost 245 inf + 365 350.696 * * [simplify]: Extracting #5: cost 226 inf + 4202 350.698 * * [simplify]: Extracting #6: cost 200 inf + 13225 350.703 * * [simplify]: Extracting #7: cost 154 inf + 36777 350.726 * * [simplify]: Extracting #8: cost 20 inf + 116269 350.750 * * [simplify]: Extracting #9: cost 0 inf + 128603 350.775 * [simplify]: Simplified to (- (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 350.775 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) (- (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 350.776 * * * * [progress]: [ 520 / 2246 ] simplifiying candidate # 350.776 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 350.776 * * [simplify]: iters left: 6 (24 enodes) 350.784 * * [simplify]: iters left: 5 (99 enodes) 350.801 * * [simplify]: iters left: 4 (208 enodes) 350.856 * * [simplify]: Extracting #0: cost 1 inf + 0 350.856 * * [simplify]: Extracting #1: cost 11 inf + 0 350.856 * * [simplify]: Extracting #2: cost 115 inf + 0 350.857 * * [simplify]: Extracting #3: cost 201 inf + 1 350.858 * * [simplify]: Extracting #4: cost 196 inf + 1053 350.859 * * [simplify]: Extracting #5: cost 180 inf + 4317 350.861 * * [simplify]: Extracting #6: cost 149 inf + 13971 350.864 * * [simplify]: Extracting #7: cost 123 inf + 22999 350.876 * * [simplify]: Extracting #8: cost 28 inf + 73309 350.895 * * [simplify]: Extracting #9: cost 0 inf + 88893 350.912 * [simplify]: Simplified to (- (* (* (cbrt 1/2) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt 1/2)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 350.912 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (* (cbrt 1/2) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt 1/2)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 350.912 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 350.912 * * [simplify]: iters left: 6 (20 enodes) 350.918 * * [simplify]: iters left: 5 (82 enodes) 350.933 * * [simplify]: iters left: 4 (166 enodes) 350.977 * * [simplify]: Extracting #0: cost 1 inf + 0 350.978 * * [simplify]: Extracting #1: cost 22 inf + 0 350.978 * * [simplify]: Extracting #2: cost 106 inf + 0 350.978 * * [simplify]: Extracting #3: cost 175 inf + 0 350.979 * * [simplify]: Extracting #4: cost 174 inf + 286 350.979 * * [simplify]: Extracting #5: cost 165 inf + 2060 350.981 * * [simplify]: Extracting #6: cost 133 inf + 12055 350.983 * * [simplify]: Extracting #7: cost 124 inf + 14115 350.989 * * [simplify]: Extracting #8: cost 61 inf + 47169 351.003 * * [simplify]: Extracting #9: cost 3 inf + 80053 351.019 * * [simplify]: Extracting #10: cost 0 inf + 81907 351.034 * [simplify]: Simplified to (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 351.034 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))))))) 351.034 * * * * [progress]: [ 521 / 2246 ] simplifiying candidate # 351.034 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 351.035 * * [simplify]: iters left: 6 (23 enodes) 351.041 * * [simplify]: iters left: 5 (93 enodes) 351.061 * * [simplify]: iters left: 4 (211 enodes) 351.124 * * [simplify]: Extracting #0: cost 1 inf + 0 351.124 * * [simplify]: Extracting #1: cost 13 inf + 0 351.124 * * [simplify]: Extracting #2: cost 134 inf + 0 351.125 * * [simplify]: Extracting #3: cost 198 inf + 1 351.126 * * [simplify]: Extracting #4: cost 189 inf + 1657 351.127 * * [simplify]: Extracting #5: cost 172 inf + 5417 351.130 * * [simplify]: Extracting #6: cost 116 inf + 23933 351.136 * * [simplify]: Extracting #7: cost 79 inf + 39039 351.149 * * [simplify]: Extracting #8: cost 9 inf + 73939 351.164 * * [simplify]: Extracting #9: cost 0 inf + 78781 351.178 * [simplify]: Simplified to (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 351.178 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 351.178 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 351.178 * * [simplify]: iters left: 6 (19 enodes) 351.183 * * [simplify]: iters left: 5 (76 enodes) 351.200 * * [simplify]: iters left: 4 (173 enodes) 351.248 * * [simplify]: Extracting #0: cost 1 inf + 0 351.249 * * [simplify]: Extracting #1: cost 14 inf + 0 351.249 * * [simplify]: Extracting #2: cost 90 inf + 0 351.249 * * [simplify]: Extracting #3: cost 150 inf + 1 351.250 * * [simplify]: Extracting #4: cost 151 inf + 286 351.250 * * [simplify]: Extracting #5: cost 139 inf + 2371 351.252 * * [simplify]: Extracting #6: cost 93 inf + 16977 351.262 * * [simplify]: Extracting #7: cost 13 inf + 53665 351.273 * * [simplify]: Extracting #8: cost 0 inf + 59778 351.284 * [simplify]: Simplified to (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 351.284 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 351.285 * * * * [progress]: [ 522 / 2246 ] simplifiying candidate # 351.285 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 351.285 * * [simplify]: iters left: 6 (22 enodes) 351.292 * * [simplify]: iters left: 5 (92 enodes) 351.308 * * [simplify]: iters left: 4 (168 enodes) 351.352 * * [simplify]: iters left: 3 (470 enodes) 351.590 * * [simplify]: Extracting #0: cost 1 inf + 0 351.591 * * [simplify]: Extracting #1: cost 25 inf + 0 351.591 * * [simplify]: Extracting #2: cost 227 inf + 0 351.593 * * [simplify]: Extracting #3: cost 385 inf + 1900 351.595 * * [simplify]: Extracting #4: cost 369 inf + 5296 351.599 * * [simplify]: Extracting #5: cost 297 inf + 29403 351.614 * * [simplify]: Extracting #6: cost 131 inf + 97607 351.648 * * [simplify]: Extracting #7: cost 12 inf + 154704 351.682 * * [simplify]: Extracting #8: cost 0 inf + 160010 351.715 * [simplify]: Simplified to (* (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))))) 351.715 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 351.715 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 351.716 * * [simplify]: iters left: 6 (20 enodes) 351.723 * * [simplify]: iters left: 5 (82 enodes) 351.737 * * [simplify]: iters left: 4 (138 enodes) 351.771 * * [simplify]: iters left: 3 (402 enodes) 351.966 * * [simplify]: Extracting #0: cost 1 inf + 0 351.966 * * [simplify]: Extracting #1: cost 0 inf + 1 351.966 * [simplify]: Simplified to 0 351.966 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 0))) 351.966 * * * * [progress]: [ 523 / 2246 ] simplifiying candidate # 351.966 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 351.966 * * [simplify]: iters left: 6 (22 enodes) 351.973 * * [simplify]: iters left: 5 (92 enodes) 351.989 * * [simplify]: iters left: 4 (168 enodes) 352.034 * * [simplify]: iters left: 3 (470 enodes) 352.272 * * [simplify]: Extracting #0: cost 1 inf + 0 352.272 * * [simplify]: Extracting #1: cost 25 inf + 0 352.273 * * [simplify]: Extracting #2: cost 227 inf + 0 352.274 * * [simplify]: Extracting #3: cost 385 inf + 1900 352.277 * * [simplify]: Extracting #4: cost 369 inf + 5296 352.281 * * [simplify]: Extracting #5: cost 297 inf + 29403 352.295 * * [simplify]: Extracting #6: cost 131 inf + 97607 352.326 * * [simplify]: Extracting #7: cost 12 inf + 154704 352.362 * * [simplify]: Extracting #8: cost 0 inf + 160010 352.395 * [simplify]: Simplified to (* (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))))) 352.395 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 352.396 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 352.396 * * [simplify]: iters left: 6 (20 enodes) 352.402 * * [simplify]: iters left: 5 (82 enodes) 352.416 * * [simplify]: iters left: 4 (138 enodes) 352.451 * * [simplify]: iters left: 3 (402 enodes) 352.643 * * [simplify]: Extracting #0: cost 1 inf + 0 352.643 * * [simplify]: Extracting #1: cost 0 inf + 1 352.643 * [simplify]: Simplified to 0 352.643 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 0))) 352.644 * * * * [progress]: [ 524 / 2246 ] simplifiying candidate # 352.644 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 352.644 * * [simplify]: iters left: 6 (23 enodes) 352.651 * * [simplify]: iters left: 5 (93 enodes) 352.672 * * [simplify]: iters left: 4 (211 enodes) 352.735 * * [simplify]: Extracting #0: cost 1 inf + 0 352.735 * * [simplify]: Extracting #1: cost 13 inf + 0 352.736 * * [simplify]: Extracting #2: cost 134 inf + 0 352.736 * * [simplify]: Extracting #3: cost 198 inf + 1 352.737 * * [simplify]: Extracting #4: cost 189 inf + 1657 352.738 * * [simplify]: Extracting #5: cost 172 inf + 5417 352.741 * * [simplify]: Extracting #6: cost 116 inf + 23933 352.748 * * [simplify]: Extracting #7: cost 79 inf + 39039 352.761 * * [simplify]: Extracting #8: cost 9 inf + 73939 352.775 * * [simplify]: Extracting #9: cost 0 inf + 78781 352.789 * [simplify]: Simplified to (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 352.789 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 352.790 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 352.790 * * [simplify]: iters left: 6 (19 enodes) 352.795 * * [simplify]: iters left: 5 (76 enodes) 352.812 * * [simplify]: iters left: 4 (173 enodes) 352.860 * * [simplify]: Extracting #0: cost 1 inf + 0 352.860 * * [simplify]: Extracting #1: cost 14 inf + 0 352.860 * * [simplify]: Extracting #2: cost 90 inf + 0 352.861 * * [simplify]: Extracting #3: cost 150 inf + 1 352.861 * * [simplify]: Extracting #4: cost 151 inf + 286 352.862 * * [simplify]: Extracting #5: cost 139 inf + 2371 352.863 * * [simplify]: Extracting #6: cost 93 inf + 16977 352.874 * * [simplify]: Extracting #7: cost 13 inf + 53665 352.885 * * [simplify]: Extracting #8: cost 0 inf + 59778 352.896 * [simplify]: Simplified to (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 352.896 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 352.896 * * * * [progress]: [ 525 / 2246 ] simplifiying candidate # 352.896 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 352.897 * * [simplify]: iters left: 6 (24 enodes) 352.904 * * [simplify]: iters left: 5 (98 enodes) 352.921 * * [simplify]: iters left: 4 (209 enodes) 352.976 * * [simplify]: Extracting #0: cost 1 inf + 0 352.976 * * [simplify]: Extracting #1: cost 11 inf + 0 352.977 * * [simplify]: Extracting #2: cost 112 inf + 0 352.977 * * [simplify]: Extracting #3: cost 199 inf + 1 352.978 * * [simplify]: Extracting #4: cost 196 inf + 649 352.979 * * [simplify]: Extracting #5: cost 174 inf + 5366 352.982 * * [simplify]: Extracting #6: cost 136 inf + 18810 352.995 * * [simplify]: Extracting #7: cost 31 inf + 74980 353.013 * * [simplify]: Extracting #8: cost 0 inf + 93178 353.035 * * [simplify]: Extracting #9: cost 0 inf + 92178 353.054 * * [simplify]: Extracting #10: cost 0 inf + 91978 353.072 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (cbrt 1/2))) (/ (* (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x)))) 353.072 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (cbrt 1/2))) (/ (* (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x)))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 353.073 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 353.073 * * [simplify]: iters left: 6 (20 enodes) 353.079 * * [simplify]: iters left: 5 (81 enodes) 353.093 * * [simplify]: iters left: 4 (169 enodes) 353.139 * * [simplify]: Extracting #0: cost 1 inf + 0 353.139 * * [simplify]: Extracting #1: cost 22 inf + 0 353.140 * * [simplify]: Extracting #2: cost 104 inf + 0 353.140 * * [simplify]: Extracting #3: cost 169 inf + 0 353.141 * * [simplify]: Extracting #4: cost 160 inf + 1174 353.142 * * [simplify]: Extracting #5: cost 140 inf + 5986 353.143 * * [simplify]: Extracting #6: cost 136 inf + 7316 353.145 * * [simplify]: Extracting #7: cost 132 inf + 7868 353.150 * * [simplify]: Extracting #8: cost 72 inf + 39468 353.165 * * [simplify]: Extracting #9: cost 3 inf + 80030 353.181 * * [simplify]: Extracting #10: cost 0 inf + 81164 353.200 * * [simplify]: Extracting #11: cost 0 inf + 80644 353.217 * * [simplify]: Extracting #12: cost 0 inf + 80484 353.233 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) 353.233 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))))))) 353.234 * * * * [progress]: [ 526 / 2246 ] simplifiying candidate # 353.234 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 353.234 * * [simplify]: iters left: 6 (23 enodes) 353.241 * * [simplify]: iters left: 5 (92 enodes) 353.256 * * [simplify]: iters left: 4 (177 enodes) 353.298 * * [simplify]: iters left: 3 (476 enodes) 353.481 * * [simplify]: Extracting #0: cost 1 inf + 0 353.481 * * [simplify]: Extracting #1: cost 11 inf + 0 353.481 * * [simplify]: Extracting #2: cost 167 inf + 0 353.482 * * [simplify]: Extracting #3: cost 337 inf + 1 353.484 * * [simplify]: Extracting #4: cost 323 inf + 2910 353.486 * * [simplify]: Extracting #5: cost 299 inf + 8303 353.490 * * [simplify]: Extracting #6: cost 254 inf + 20672 353.497 * * [simplify]: Extracting #7: cost 208 inf + 39260 353.525 * * [simplify]: Extracting #8: cost 47 inf + 118078 353.562 * * [simplify]: Extracting #9: cost 0 inf + 140964 353.596 * * [simplify]: Extracting #10: cost 0 inf + 140884 353.631 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 353.631 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 353.631 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 353.632 * * [simplify]: iters left: 6 (19 enodes) 353.637 * * [simplify]: iters left: 5 (75 enodes) 353.650 * * [simplify]: iters left: 4 (138 enodes) 353.681 * * [simplify]: iters left: 3 (364 enodes) 353.816 * * [simplify]: Extracting #0: cost 1 inf + 0 353.816 * * [simplify]: Extracting #1: cost 0 inf + 1 353.816 * [simplify]: Simplified to 0 353.816 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 353.816 * * * * [progress]: [ 527 / 2246 ] simplifiying candidate # 353.816 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 353.817 * * [simplify]: iters left: 6 (22 enodes) 353.824 * * [simplify]: iters left: 5 (88 enodes) 353.839 * * [simplify]: iters left: 4 (171 enodes) 353.879 * * [simplify]: iters left: 3 (434 enodes) 354.080 * * [simplify]: Extracting #0: cost 1 inf + 0 354.080 * * [simplify]: Extracting #1: cost 18 inf + 0 354.081 * * [simplify]: Extracting #2: cost 125 inf + 0 354.082 * * [simplify]: Extracting #3: cost 250 inf + 730 354.083 * * [simplify]: Extracting #4: cost 239 inf + 3394 354.085 * * [simplify]: Extracting #5: cost 222 inf + 7144 354.092 * * [simplify]: Extracting #6: cost 130 inf + 38057 354.112 * * [simplify]: Extracting #7: cost 17 inf + 87021 354.137 * * [simplify]: Extracting #8: cost 0 inf + 94772 354.159 * * [simplify]: Extracting #9: cost 0 inf + 94747 354.181 * [simplify]: Simplified to (* (cbrt 1/2) (- (* (cbrt 1/2) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 354.181 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (cbrt 1/2) (- (* (cbrt 1/2) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))))) 354.182 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1))) 354.182 * * [simplify]: iters left: 6 (18 enodes) 354.187 * * [simplify]: iters left: 5 (71 enodes) 354.200 * * [simplify]: iters left: 4 (130 enodes) 354.232 * * [simplify]: iters left: 3 (341 enodes) 354.366 * * [simplify]: Extracting #0: cost 1 inf + 0 354.366 * * [simplify]: Extracting #1: cost 0 inf + 1 354.366 * [simplify]: Simplified to 0 354.366 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 0))) 354.366 * * * * [progress]: [ 528 / 2246 ] simplifiying candidate # 354.367 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) 354.367 * * [simplify]: iters left: 6 (21 enodes) 354.373 * * [simplify]: iters left: 5 (86 enodes) 354.388 * * [simplify]: iters left: 4 (140 enodes) 354.419 * * [simplify]: iters left: 3 (324 enodes) 354.532 * * [simplify]: Extracting #0: cost 1 inf + 0 354.532 * * [simplify]: Extracting #1: cost 18 inf + 0 354.532 * * [simplify]: Extracting #2: cost 124 inf + 0 354.533 * * [simplify]: Extracting #3: cost 216 inf + 608 354.534 * * [simplify]: Extracting #4: cost 202 inf + 3272 354.536 * * [simplify]: Extracting #5: cost 188 inf + 6250 354.543 * * [simplify]: Extracting #6: cost 102 inf + 34974 354.558 * * [simplify]: Extracting #7: cost 15 inf + 73225 354.576 * * [simplify]: Extracting #8: cost 0 inf + 80140 354.594 * * [simplify]: Extracting #9: cost 0 inf + 80115 354.613 * [simplify]: Simplified to (* (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (* (cbrt 1/2) (cbrt 1/2)) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 354.614 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (* (cbrt 1/2) (cbrt 1/2)) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))))) 354.614 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)))) 354.614 * * [simplify]: iters left: 6 (19 enodes) 354.620 * * [simplify]: iters left: 5 (76 enodes) 354.633 * * [simplify]: iters left: 4 (115 enodes) 354.657 * * [simplify]: iters left: 3 (283 enodes) 354.758 * * [simplify]: Extracting #0: cost 1 inf + 0 354.759 * * [simplify]: Extracting #1: cost 28 inf + 0 354.759 * * [simplify]: Extracting #2: cost 102 inf + 1 354.759 * * [simplify]: Extracting #3: cost 142 inf + 691 354.760 * * [simplify]: Extracting #4: cost 131 inf + 3683 354.763 * * [simplify]: Extracting #5: cost 102 inf + 11388 354.766 * * [simplify]: Extracting #6: cost 97 inf + 12896 354.772 * * [simplify]: Extracting #7: cost 45 inf + 33427 354.786 * * [simplify]: Extracting #8: cost 0 inf + 53907 354.800 * * [simplify]: Extracting #9: cost 0 inf + 53757 354.816 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 354.816 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 354.816 * * * * [progress]: [ 529 / 2246 ] simplifiying candidate # 354.816 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) 354.817 * * [simplify]: iters left: 6 (21 enodes) 354.823 * * [simplify]: iters left: 5 (86 enodes) 354.838 * * [simplify]: iters left: 4 (140 enodes) 354.866 * * [simplify]: iters left: 3 (324 enodes) 354.975 * * [simplify]: Extracting #0: cost 1 inf + 0 354.975 * * [simplify]: Extracting #1: cost 18 inf + 0 354.975 * * [simplify]: Extracting #2: cost 124 inf + 0 354.976 * * [simplify]: Extracting #3: cost 216 inf + 608 354.977 * * [simplify]: Extracting #4: cost 202 inf + 3272 354.979 * * [simplify]: Extracting #5: cost 188 inf + 6250 354.985 * * [simplify]: Extracting #6: cost 102 inf + 34974 354.999 * * [simplify]: Extracting #7: cost 15 inf + 73225 355.019 * * [simplify]: Extracting #8: cost 0 inf + 80140 355.038 * * [simplify]: Extracting #9: cost 0 inf + 80115 355.055 * [simplify]: Simplified to (* (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (* (cbrt 1/2) (cbrt 1/2)) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 355.055 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (* (cbrt 1/2) (cbrt 1/2)) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))))) 355.056 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)))) 355.056 * * [simplify]: iters left: 6 (19 enodes) 355.061 * * [simplify]: iters left: 5 (76 enodes) 355.074 * * [simplify]: iters left: 4 (115 enodes) 355.099 * * [simplify]: iters left: 3 (283 enodes) 355.199 * * [simplify]: Extracting #0: cost 1 inf + 0 355.199 * * [simplify]: Extracting #1: cost 28 inf + 0 355.199 * * [simplify]: Extracting #2: cost 102 inf + 1 355.200 * * [simplify]: Extracting #3: cost 142 inf + 691 355.201 * * [simplify]: Extracting #4: cost 131 inf + 3683 355.203 * * [simplify]: Extracting #5: cost 102 inf + 11388 355.206 * * [simplify]: Extracting #6: cost 97 inf + 12896 355.213 * * [simplify]: Extracting #7: cost 45 inf + 33427 355.229 * * [simplify]: Extracting #8: cost 0 inf + 53907 355.243 * * [simplify]: Extracting #9: cost 0 inf + 53757 355.256 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 355.256 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 355.257 * * * * [progress]: [ 530 / 2246 ] simplifiying candidate # 355.257 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 355.257 * * [simplify]: iters left: 6 (22 enodes) 355.264 * * [simplify]: iters left: 5 (88 enodes) 355.280 * * [simplify]: iters left: 4 (171 enodes) 355.321 * * [simplify]: iters left: 3 (434 enodes) 355.815 * * [simplify]: Extracting #0: cost 1 inf + 0 355.815 * * [simplify]: Extracting #1: cost 18 inf + 0 355.815 * * [simplify]: Extracting #2: cost 125 inf + 0 355.816 * * [simplify]: Extracting #3: cost 250 inf + 730 355.817 * * [simplify]: Extracting #4: cost 239 inf + 3394 355.819 * * [simplify]: Extracting #5: cost 222 inf + 7144 355.829 * * [simplify]: Extracting #6: cost 130 inf + 38057 355.848 * * [simplify]: Extracting #7: cost 17 inf + 87021 355.870 * * [simplify]: Extracting #8: cost 0 inf + 94772 355.893 * * [simplify]: Extracting #9: cost 0 inf + 94747 355.916 * [simplify]: Simplified to (* (cbrt 1/2) (- (* (cbrt 1/2) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 355.916 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (cbrt 1/2) (- (* (cbrt 1/2) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))))) 355.916 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1))) 355.916 * * [simplify]: iters left: 6 (18 enodes) 355.922 * * [simplify]: iters left: 5 (71 enodes) 355.934 * * [simplify]: iters left: 4 (130 enodes) 355.964 * * [simplify]: iters left: 3 (341 enodes) 356.100 * * [simplify]: Extracting #0: cost 1 inf + 0 356.100 * * [simplify]: Extracting #1: cost 0 inf + 1 356.100 * [simplify]: Simplified to 0 356.100 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 0))) 356.100 * * * * [progress]: [ 531 / 2246 ] simplifiying candidate # 356.100 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 356.101 * * [simplify]: iters left: 6 (23 enodes) 356.108 * * [simplify]: iters left: 5 (93 enodes) 356.123 * * [simplify]: iters left: 4 (189 enodes) 356.173 * * [simplify]: Extracting #0: cost 1 inf + 0 356.173 * * [simplify]: Extracting #1: cost 13 inf + 0 356.173 * * [simplify]: Extracting #2: cost 127 inf + 0 356.174 * * [simplify]: Extracting #3: cost 251 inf + 83 356.175 * * [simplify]: Extracting #4: cost 208 inf + 6392 356.176 * * [simplify]: Extracting #5: cost 191 inf + 10085 356.178 * * [simplify]: Extracting #6: cost 187 inf + 10975 356.181 * * [simplify]: Extracting #7: cost 157 inf + 22795 356.194 * * [simplify]: Extracting #8: cost 35 inf + 83191 356.212 * * [simplify]: Extracting #9: cost 0 inf + 100781 356.231 * * [simplify]: Extracting #10: cost 0 inf + 100701 356.250 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (cbrt 1/2))) (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (hypot 1 x))) 356.250 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (cbrt 1/2))) (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (hypot 1 x))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 356.251 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 356.251 * * [simplify]: iters left: 6 (19 enodes) 356.256 * * [simplify]: iters left: 5 (76 enodes) 356.272 * * [simplify]: iters left: 4 (163 enodes) 356.316 * * [simplify]: iters left: 3 (466 enodes) 356.545 * * [simplify]: Extracting #0: cost 1 inf + 0 356.545 * * [simplify]: Extracting #1: cost 0 inf + 1 356.545 * [simplify]: Simplified to 0 356.545 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 356.545 * * * * [progress]: [ 532 / 2246 ] simplifiying candidate # 356.546 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 356.546 * * [simplify]: iters left: 6 (22 enodes) 356.557 * * [simplify]: iters left: 5 (88 enodes) 356.571 * * [simplify]: iters left: 4 (158 enodes) 356.606 * * [simplify]: iters left: 3 (394 enodes) 356.741 * * [simplify]: Extracting #0: cost 1 inf + 0 356.741 * * [simplify]: Extracting #1: cost 15 inf + 0 356.741 * * [simplify]: Extracting #2: cost 120 inf + 0 356.742 * * [simplify]: Extracting #3: cost 227 inf + 690 356.744 * * [simplify]: Extracting #4: cost 192 inf + 6830 356.748 * * [simplify]: Extracting #5: cost 136 inf + 22927 356.763 * * [simplify]: Extracting #6: cost 20 inf + 73015 356.783 * * [simplify]: Extracting #7: cost 0 inf + 82135 356.804 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 356.804 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 356.804 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 356.804 * * [simplify]: iters left: 6 (18 enodes) 356.809 * * [simplify]: iters left: 5 (71 enodes) 356.824 * * [simplify]: iters left: 4 (132 enodes) 356.854 * * [simplify]: iters left: 3 (327 enodes) 356.977 * * [simplify]: Extracting #0: cost 1 inf + 0 356.977 * * [simplify]: Extracting #1: cost 0 inf + 1 356.977 * [simplify]: Simplified to 0 356.977 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 356.977 * * * * [progress]: [ 533 / 2246 ] simplifiying candidate # 356.977 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 356.977 * * [simplify]: iters left: 6 (21 enodes) 356.984 * * [simplify]: iters left: 5 (79 enodes) 356.997 * * [simplify]: iters left: 4 (158 enodes) 357.034 * * [simplify]: iters left: 3 (353 enodes) 357.141 * * [simplify]: Extracting #0: cost 1 inf + 0 357.142 * * [simplify]: Extracting #1: cost 28 inf + 0 357.142 * * [simplify]: Extracting #2: cost 125 inf + 1 357.143 * * [simplify]: Extracting #3: cost 143 inf + 691 357.143 * * [simplify]: Extracting #4: cost 134 inf + 2301 357.145 * * [simplify]: Extracting #5: cost 116 inf + 5946 357.151 * * [simplify]: Extracting #6: cost 41 inf + 31765 357.162 * * [simplify]: Extracting #7: cost 2 inf + 48087 357.174 * * [simplify]: Extracting #8: cost 0 inf + 48983 357.186 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 357.186 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))))) 357.187 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1))) 357.187 * * [simplify]: iters left: 6 (17 enodes) 357.192 * * [simplify]: iters left: 5 (62 enodes) 357.203 * * [simplify]: iters left: 4 (117 enodes) 357.229 * * [simplify]: iters left: 3 (259 enodes) 357.304 * * [simplify]: Extracting #0: cost 1 inf + 0 357.304 * * [simplify]: Extracting #1: cost 0 inf + 1 357.304 * [simplify]: Simplified to 0 357.304 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 357.304 * * * * [progress]: [ 534 / 2246 ] simplifiying candidate # 357.304 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 357.305 * * [simplify]: iters left: 6 (20 enodes) 357.311 * * [simplify]: iters left: 5 (79 enodes) 357.324 * * [simplify]: iters left: 4 (151 enodes) 357.359 * * [simplify]: iters left: 3 (345 enodes) 357.470 * * [simplify]: Extracting #0: cost 1 inf + 0 357.470 * * [simplify]: Extracting #1: cost 26 inf + 0 357.471 * * [simplify]: Extracting #2: cost 133 inf + 1 357.471 * * [simplify]: Extracting #3: cost 161 inf + 529 357.473 * * [simplify]: Extracting #4: cost 147 inf + 3260 357.474 * * [simplify]: Extracting #5: cost 121 inf + 8552 357.481 * * [simplify]: Extracting #6: cost 40 inf + 39207 357.495 * * [simplify]: Extracting #7: cost 1 inf + 54631 357.508 * * [simplify]: Extracting #8: cost 0 inf + 55004 357.522 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 357.522 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))))) 357.522 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)))) 357.522 * * [simplify]: iters left: 6 (18 enodes) 357.528 * * [simplify]: iters left: 5 (71 enodes) 357.543 * * [simplify]: iters left: 4 (123 enodes) 357.567 * * [simplify]: iters left: 3 (278 enodes) 357.650 * * [simplify]: Extracting #0: cost 1 inf + 0 357.650 * * [simplify]: Extracting #1: cost 0 inf + 1 357.650 * [simplify]: Simplified to 0 357.651 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 0))) 357.651 * * * * [progress]: [ 535 / 2246 ] simplifiying candidate # 357.651 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 357.651 * * [simplify]: iters left: 6 (20 enodes) 357.658 * * [simplify]: iters left: 5 (79 enodes) 357.673 * * [simplify]: iters left: 4 (151 enodes) 357.705 * * [simplify]: iters left: 3 (345 enodes) 357.815 * * [simplify]: Extracting #0: cost 1 inf + 0 357.815 * * [simplify]: Extracting #1: cost 26 inf + 0 357.816 * * [simplify]: Extracting #2: cost 133 inf + 1 357.816 * * [simplify]: Extracting #3: cost 161 inf + 529 357.817 * * [simplify]: Extracting #4: cost 147 inf + 3260 357.819 * * [simplify]: Extracting #5: cost 121 inf + 8552 357.826 * * [simplify]: Extracting #6: cost 40 inf + 39207 357.839 * * [simplify]: Extracting #7: cost 1 inf + 54631 357.853 * * [simplify]: Extracting #8: cost 0 inf + 55004 357.869 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 357.869 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))))) 357.870 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)))) 357.870 * * [simplify]: iters left: 6 (18 enodes) 357.876 * * [simplify]: iters left: 5 (71 enodes) 357.888 * * [simplify]: iters left: 4 (123 enodes) 357.912 * * [simplify]: iters left: 3 (278 enodes) 357.997 * * [simplify]: Extracting #0: cost 1 inf + 0 357.997 * * [simplify]: Extracting #1: cost 0 inf + 1 357.997 * [simplify]: Simplified to 0 357.997 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 0))) 357.997 * * * * [progress]: [ 536 / 2246 ] simplifiying candidate # 357.998 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 357.998 * * [simplify]: iters left: 6 (21 enodes) 358.004 * * [simplify]: iters left: 5 (79 enodes) 358.015 * * [simplify]: iters left: 4 (158 enodes) 358.050 * * [simplify]: iters left: 3 (353 enodes) 358.154 * * [simplify]: Extracting #0: cost 1 inf + 0 358.154 * * [simplify]: Extracting #1: cost 28 inf + 0 358.155 * * [simplify]: Extracting #2: cost 125 inf + 1 358.156 * * [simplify]: Extracting #3: cost 143 inf + 691 358.157 * * [simplify]: Extracting #4: cost 134 inf + 2301 358.158 * * [simplify]: Extracting #5: cost 116 inf + 5946 358.164 * * [simplify]: Extracting #6: cost 41 inf + 31765 358.175 * * [simplify]: Extracting #7: cost 2 inf + 48087 358.190 * * [simplify]: Extracting #8: cost 0 inf + 48983 358.202 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 358.202 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))))) 358.203 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1))) 358.203 * * [simplify]: iters left: 6 (17 enodes) 358.208 * * [simplify]: iters left: 5 (62 enodes) 358.218 * * [simplify]: iters left: 4 (117 enodes) 358.241 * * [simplify]: iters left: 3 (259 enodes) 358.315 * * [simplify]: Extracting #0: cost 1 inf + 0 358.315 * * [simplify]: Extracting #1: cost 0 inf + 1 358.315 * [simplify]: Simplified to 0 358.315 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 358.315 * * * * [progress]: [ 537 / 2246 ] simplifiying candidate # 358.315 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 358.315 * * [simplify]: iters left: 6 (26 enodes) 358.325 * * [simplify]: iters left: 5 (103 enodes) 358.342 * * [simplify]: iters left: 4 (208 enodes) 358.392 * * [simplify]: Extracting #0: cost 1 inf + 0 358.392 * * [simplify]: Extracting #1: cost 11 inf + 0 358.392 * * [simplify]: Extracting #2: cost 114 inf + 0 358.393 * * [simplify]: Extracting #3: cost 202 inf + 1 358.393 * * [simplify]: Extracting #4: cost 198 inf + 732 358.395 * * [simplify]: Extracting #5: cost 174 inf + 5562 358.398 * * [simplify]: Extracting #6: cost 134 inf + 21402 358.411 * * [simplify]: Extracting #7: cost 30 inf + 77314 358.430 * * [simplify]: Extracting #8: cost 0 inf + 93494 358.448 * * [simplify]: Extracting #9: cost 0 inf + 93214 358.466 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (cbrt 1/2))) (/ (* (/ (sqrt 1/2) (* (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (sqrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 358.466 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (cbrt 1/2))) (/ (* (/ (sqrt 1/2) (* (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (sqrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 358.467 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 358.467 * * [simplify]: iters left: 6 (20 enodes) 358.472 * * [simplify]: iters left: 5 (80 enodes) 358.488 * * [simplify]: iters left: 4 (163 enodes) 358.527 * * [simplify]: iters left: 3 (493 enodes) 358.731 * * [simplify]: Extracting #0: cost 1 inf + 0 358.732 * * [simplify]: Extracting #1: cost 0 inf + 1 358.732 * [simplify]: Simplified to 0 358.732 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 358.732 * * * * [progress]: [ 538 / 2246 ] simplifiying candidate # 358.732 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 358.732 * * [simplify]: iters left: 6 (25 enodes) 358.740 * * [simplify]: iters left: 5 (98 enodes) 358.756 * * [simplify]: iters left: 4 (177 enodes) 358.794 * * [simplify]: iters left: 3 (433 enodes) 358.916 * * [simplify]: Extracting #0: cost 1 inf + 0 358.916 * * [simplify]: Extracting #1: cost 11 inf + 0 358.916 * * [simplify]: Extracting #2: cost 126 inf + 0 358.917 * * [simplify]: Extracting #3: cost 227 inf + 2 358.918 * * [simplify]: Extracting #4: cost 223 inf + 815 358.919 * * [simplify]: Extracting #5: cost 203 inf + 4671 358.921 * * [simplify]: Extracting #6: cost 177 inf + 11235 358.925 * * [simplify]: Extracting #7: cost 150 inf + 21442 358.943 * * [simplify]: Extracting #8: cost 25 inf + 78974 358.967 * * [simplify]: Extracting #9: cost 0 inf + 91266 358.989 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 358.989 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 358.990 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 358.990 * * [simplify]: iters left: 6 (19 enodes) 358.995 * * [simplify]: iters left: 5 (75 enodes) 359.007 * * [simplify]: iters left: 4 (134 enodes) 359.035 * * [simplify]: iters left: 3 (346 enodes) 359.139 * * [simplify]: Extracting #0: cost 1 inf + 0 359.139 * * [simplify]: Extracting #1: cost 0 inf + 1 359.139 * [simplify]: Simplified to 0 359.139 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 359.140 * * * * [progress]: [ 539 / 2246 ] simplifiying candidate # 359.140 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 359.140 * * [simplify]: iters left: 6 (24 enodes) 359.147 * * [simplify]: iters left: 5 (93 enodes) 359.166 * * [simplify]: iters left: 4 (170 enodes) 359.202 * * [simplify]: iters left: 3 (423 enodes) 359.340 * * [simplify]: Extracting #0: cost 1 inf + 0 359.340 * * [simplify]: Extracting #1: cost 11 inf + 0 359.341 * * [simplify]: Extracting #2: cost 105 inf + 0 359.345 * * [simplify]: Extracting #3: cost 195 inf + 1 359.346 * * [simplify]: Extracting #4: cost 188 inf + 896 359.347 * * [simplify]: Extracting #5: cost 167 inf + 4378 359.353 * * [simplify]: Extracting #6: cost 105 inf + 24994 359.367 * * [simplify]: Extracting #7: cost 13 inf + 61735 359.383 * * [simplify]: Extracting #8: cost 0 inf + 67305 359.400 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (/ (/ -1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x)))) 359.400 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (/ (/ -1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x)))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 359.401 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 359.401 * * [simplify]: iters left: 6 (18 enodes) 359.406 * * [simplify]: iters left: 5 (70 enodes) 359.418 * * [simplify]: iters left: 4 (126 enodes) 359.448 * * [simplify]: iters left: 3 (322 enodes) 359.555 * * [simplify]: Extracting #0: cost 1 inf + 0 359.555 * * [simplify]: Extracting #1: cost 0 inf + 1 359.555 * [simplify]: Simplified to 0 359.555 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 359.555 * * * * [progress]: [ 540 / 2246 ] simplifiying candidate # 359.556 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 359.556 * * [simplify]: iters left: 6 (23 enodes) 359.562 * * [simplify]: iters left: 5 (91 enodes) 359.577 * * [simplify]: iters left: 4 (146 enodes) 359.606 * * [simplify]: iters left: 3 (330 enodes) 359.696 * * [simplify]: Extracting #0: cost 1 inf + 0 359.696 * * [simplify]: Extracting #1: cost 11 inf + 0 359.696 * * [simplify]: Extracting #2: cost 90 inf + 0 359.697 * * [simplify]: Extracting #3: cost 169 inf + 1 359.697 * * [simplify]: Extracting #4: cost 169 inf + 862 359.698 * * [simplify]: Extracting #5: cost 160 inf + 1869 359.699 * * [simplify]: Extracting #6: cost 134 inf + 7552 359.707 * * [simplify]: Extracting #7: cost 39 inf + 42059 359.720 * * [simplify]: Extracting #8: cost 1 inf + 58248 359.733 * * [simplify]: Extracting #9: cost 0 inf + 58571 359.746 * [simplify]: Simplified to (- (/ (cbrt 1/2) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 359.746 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (cbrt 1/2) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 359.746 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 359.746 * * [simplify]: iters left: 6 (19 enodes) 359.753 * * [simplify]: iters left: 5 (75 enodes) 359.769 * * [simplify]: iters left: 4 (111 enodes) 359.789 * * [simplify]: iters left: 3 (244 enodes) 359.858 * * [simplify]: Extracting #0: cost 1 inf + 0 359.858 * * [simplify]: Extracting #1: cost 18 inf + 0 359.858 * * [simplify]: Extracting #2: cost 75 inf + 1 359.859 * * [simplify]: Extracting #3: cost 123 inf + 1 359.859 * * [simplify]: Extracting #4: cost 115 inf + 1708 359.861 * * [simplify]: Extracting #5: cost 83 inf + 10385 359.863 * * [simplify]: Extracting #6: cost 78 inf + 11373 359.869 * * [simplify]: Extracting #7: cost 25 inf + 31967 359.879 * * [simplify]: Extracting #8: cost 0 inf + 41997 359.889 * * [simplify]: Extracting #9: cost 0 inf + 41872 359.900 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 359.900 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))))))) 359.900 * * * * [progress]: [ 541 / 2246 ] simplifiying candidate # 359.901 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 359.901 * * [simplify]: iters left: 6 (23 enodes) 359.910 * * [simplify]: iters left: 5 (91 enodes) 359.926 * * [simplify]: iters left: 4 (146 enodes) 359.954 * * [simplify]: iters left: 3 (330 enodes) 360.045 * * [simplify]: Extracting #0: cost 1 inf + 0 360.045 * * [simplify]: Extracting #1: cost 11 inf + 0 360.046 * * [simplify]: Extracting #2: cost 90 inf + 0 360.046 * * [simplify]: Extracting #3: cost 169 inf + 1 360.047 * * [simplify]: Extracting #4: cost 169 inf + 862 360.047 * * [simplify]: Extracting #5: cost 160 inf + 1869 360.049 * * [simplify]: Extracting #6: cost 134 inf + 7552 360.057 * * [simplify]: Extracting #7: cost 39 inf + 42059 360.069 * * [simplify]: Extracting #8: cost 1 inf + 58248 360.082 * * [simplify]: Extracting #9: cost 0 inf + 58571 360.095 * [simplify]: Simplified to (- (/ (cbrt 1/2) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 360.095 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (cbrt 1/2) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 360.096 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 360.096 * * [simplify]: iters left: 6 (19 enodes) 360.102 * * [simplify]: iters left: 5 (75 enodes) 360.114 * * [simplify]: iters left: 4 (111 enodes) 360.136 * * [simplify]: iters left: 3 (244 enodes) 360.204 * * [simplify]: Extracting #0: cost 1 inf + 0 360.204 * * [simplify]: Extracting #1: cost 18 inf + 0 360.204 * * [simplify]: Extracting #2: cost 75 inf + 1 360.205 * * [simplify]: Extracting #3: cost 123 inf + 1 360.206 * * [simplify]: Extracting #4: cost 115 inf + 1708 360.207 * * [simplify]: Extracting #5: cost 83 inf + 10385 360.209 * * [simplify]: Extracting #6: cost 78 inf + 11373 360.216 * * [simplify]: Extracting #7: cost 25 inf + 31967 360.226 * * [simplify]: Extracting #8: cost 0 inf + 41997 360.237 * * [simplify]: Extracting #9: cost 0 inf + 41872 360.247 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 360.247 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))))))) 360.247 * * * * [progress]: [ 542 / 2246 ] simplifiying candidate # 360.248 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 360.248 * * [simplify]: iters left: 6 (24 enodes) 360.255 * * [simplify]: iters left: 5 (93 enodes) 360.273 * * [simplify]: iters left: 4 (170 enodes) 360.309 * * [simplify]: iters left: 3 (423 enodes) 360.446 * * [simplify]: Extracting #0: cost 1 inf + 0 360.446 * * [simplify]: Extracting #1: cost 11 inf + 0 360.446 * * [simplify]: Extracting #2: cost 105 inf + 0 360.447 * * [simplify]: Extracting #3: cost 195 inf + 1 360.448 * * [simplify]: Extracting #4: cost 188 inf + 896 360.449 * * [simplify]: Extracting #5: cost 167 inf + 4378 360.454 * * [simplify]: Extracting #6: cost 105 inf + 24994 360.469 * * [simplify]: Extracting #7: cost 13 inf + 61735 360.485 * * [simplify]: Extracting #8: cost 0 inf + 67305 360.501 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (/ (/ -1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x)))) 360.501 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (/ (/ -1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x)))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 360.501 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 360.502 * * [simplify]: iters left: 6 (18 enodes) 360.506 * * [simplify]: iters left: 5 (70 enodes) 360.518 * * [simplify]: iters left: 4 (126 enodes) 360.547 * * [simplify]: iters left: 3 (322 enodes) 360.650 * * [simplify]: Extracting #0: cost 1 inf + 0 360.651 * * [simplify]: Extracting #1: cost 0 inf + 1 360.651 * [simplify]: Simplified to 0 360.651 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 360.651 * * * * [progress]: [ 543 / 2246 ] simplifiying candidate # 360.651 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 360.651 * * [simplify]: iters left: 6 (24 enodes) 360.658 * * [simplify]: iters left: 5 (95 enodes) 360.673 * * [simplify]: iters left: 4 (182 enodes) 360.711 * * [simplify]: iters left: 3 (427 enodes) 360.825 * * [simplify]: Extracting #0: cost 1 inf + 0 360.825 * * [simplify]: Extracting #1: cost 11 inf + 0 360.825 * * [simplify]: Extracting #2: cost 118 inf + 0 360.828 * * [simplify]: Extracting #3: cost 230 inf + 2 360.829 * * [simplify]: Extracting #4: cost 226 inf + 1055 360.831 * * [simplify]: Extracting #5: cost 214 inf + 2805 360.833 * * [simplify]: Extracting #6: cost 167 inf + 17737 360.851 * * [simplify]: Extracting #7: cost 23 inf + 86756 360.876 * * [simplify]: Extracting #8: cost 0 inf + 98045 360.900 * * [simplify]: Extracting #9: cost 0 inf + 97741 360.926 * * [simplify]: Extracting #10: cost 0 inf + 97701 360.950 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (* (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 360.950 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (* (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 360.950 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 360.950 * * [simplify]: iters left: 6 (18 enodes) 360.955 * * [simplify]: iters left: 5 (72 enodes) 360.968 * * [simplify]: iters left: 4 (139 enodes) 360.995 * * [simplify]: iters left: 3 (344 enodes) 361.096 * * [simplify]: Extracting #0: cost 1 inf + 0 361.096 * * [simplify]: Extracting #1: cost 0 inf + 1 361.096 * [simplify]: Simplified to 0 361.096 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 361.096 * * * * [progress]: [ 544 / 2246 ] simplifiying candidate # 361.096 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 361.096 * * [simplify]: iters left: 6 (22 enodes) 361.103 * * [simplify]: iters left: 5 (84 enodes) 361.116 * * [simplify]: iters left: 4 (140 enodes) 361.143 * * [simplify]: iters left: 3 (291 enodes) 361.206 * * [simplify]: Extracting #0: cost 1 inf + 0 361.206 * * [simplify]: Extracting #1: cost 9 inf + 0 361.207 * * [simplify]: Extracting #2: cost 88 inf + 0 361.207 * * [simplify]: Extracting #3: cost 156 inf + 2 361.208 * * [simplify]: Extracting #4: cost 155 inf + 530 361.208 * * [simplify]: Extracting #5: cost 146 inf + 1681 361.209 * * [simplify]: Extracting #6: cost 130 inf + 4606 361.214 * * [simplify]: Extracting #7: cost 64 inf + 26516 361.225 * * [simplify]: Extracting #8: cost 3 inf + 52197 361.238 * * [simplify]: Extracting #9: cost 0 inf + 53707 361.251 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 361.251 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 361.251 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 361.251 * * [simplify]: iters left: 6 (16 enodes) 361.255 * * [simplify]: iters left: 5 (62 enodes) 361.269 * * [simplify]: iters left: 4 (105 enodes) 361.288 * * [simplify]: iters left: 3 (234 enodes) 361.342 * * [simplify]: Extracting #0: cost 1 inf + 0 361.342 * * [simplify]: Extracting #1: cost 0 inf + 1 361.342 * [simplify]: Simplified to 0 361.342 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 361.342 * * * * [progress]: [ 545 / 2246 ] simplifiying candidate # 361.343 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 361.343 * * [simplify]: iters left: 6 (22 enodes) 361.349 * * [simplify]: iters left: 5 (86 enodes) 361.364 * * [simplify]: iters left: 4 (152 enodes) 361.395 * * [simplify]: iters left: 3 (348 enodes) 361.497 * * [simplify]: Extracting #0: cost 1 inf + 0 361.497 * * [simplify]: Extracting #1: cost 11 inf + 0 361.497 * * [simplify]: Extracting #2: cost 75 inf + 0 361.498 * * [simplify]: Extracting #3: cost 131 inf + 1 361.498 * * [simplify]: Extracting #4: cost 131 inf + 206 361.499 * * [simplify]: Extracting #5: cost 120 inf + 1561 361.500 * * [simplify]: Extracting #6: cost 96 inf + 5725 361.505 * * [simplify]: Extracting #7: cost 38 inf + 23851 361.515 * * [simplify]: Extracting #8: cost 2 inf + 37377 361.524 * * [simplify]: Extracting #9: cost 0 inf + 38139 361.536 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) 361.536 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))))) 361.537 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1))) 361.537 * * [simplify]: iters left: 6 (16 enodes) 361.541 * * [simplify]: iters left: 5 (63 enodes) 361.552 * * [simplify]: iters left: 4 (113 enodes) 361.575 * * [simplify]: iters left: 3 (256 enodes) 361.643 * * [simplify]: Extracting #0: cost 1 inf + 0 361.643 * * [simplify]: Extracting #1: cost 0 inf + 1 361.643 * [simplify]: Simplified to 0 361.643 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 0))) 361.643 * * * * [progress]: [ 546 / 2246 ] simplifiying candidate # 361.644 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 361.644 * * [simplify]: iters left: 6 (21 enodes) 361.650 * * [simplify]: iters left: 5 (84 enodes) 361.667 * * [simplify]: iters left: 4 (135 enodes) 361.692 * * [simplify]: iters left: 3 (290 enodes) 361.762 * * [simplify]: Extracting #0: cost 1 inf + 0 361.762 * * [simplify]: Extracting #1: cost 11 inf + 0 361.763 * * [simplify]: Extracting #2: cost 82 inf + 0 361.763 * * [simplify]: Extracting #3: cost 133 inf + 1 361.764 * * [simplify]: Extracting #4: cost 130 inf + 852 361.765 * * [simplify]: Extracting #5: cost 120 inf + 1964 361.766 * * [simplify]: Extracting #6: cost 104 inf + 4809 361.770 * * [simplify]: Extracting #7: cost 35 inf + 27341 361.779 * * [simplify]: Extracting #8: cost 0 inf + 40416 361.788 * * [simplify]: Extracting #9: cost 0 inf + 40316 361.799 * [simplify]: Simplified to (- (/ (cbrt 1/2) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 361.799 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (cbrt 1/2) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))))) 361.800 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)))) 361.800 * * [simplify]: iters left: 6 (17 enodes) 361.805 * * [simplify]: iters left: 5 (68 enodes) 361.816 * * [simplify]: iters left: 4 (101 enodes) 361.834 * * [simplify]: iters left: 3 (206 enodes) 361.882 * * [simplify]: iters left: 2 (407 enodes) 361.997 * * [simplify]: Extracting #0: cost 1 inf + 0 361.997 * * [simplify]: Extracting #1: cost 0 inf + 1 361.997 * [simplify]: Simplified to 0 361.997 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 361.998 * * * * [progress]: [ 547 / 2246 ] simplifiying candidate # 361.998 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 361.998 * * [simplify]: iters left: 6 (21 enodes) 362.004 * * [simplify]: iters left: 5 (84 enodes) 362.018 * * [simplify]: iters left: 4 (135 enodes) 362.044 * * [simplify]: iters left: 3 (290 enodes) 362.117 * * [simplify]: Extracting #0: cost 1 inf + 0 362.117 * * [simplify]: Extracting #1: cost 11 inf + 0 362.117 * * [simplify]: Extracting #2: cost 82 inf + 0 362.117 * * [simplify]: Extracting #3: cost 133 inf + 1 362.118 * * [simplify]: Extracting #4: cost 130 inf + 852 362.118 * * [simplify]: Extracting #5: cost 120 inf + 1964 362.119 * * [simplify]: Extracting #6: cost 104 inf + 4809 362.124 * * [simplify]: Extracting #7: cost 35 inf + 27341 362.133 * * [simplify]: Extracting #8: cost 0 inf + 40416 362.142 * * [simplify]: Extracting #9: cost 0 inf + 40316 362.151 * [simplify]: Simplified to (- (/ (cbrt 1/2) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 362.151 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (cbrt 1/2) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))))) 362.151 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)))) 362.152 * * [simplify]: iters left: 6 (17 enodes) 362.156 * * [simplify]: iters left: 5 (68 enodes) 362.168 * * [simplify]: iters left: 4 (101 enodes) 362.186 * * [simplify]: iters left: 3 (206 enodes) 362.234 * * [simplify]: iters left: 2 (407 enodes) 362.348 * * [simplify]: Extracting #0: cost 1 inf + 0 362.348 * * [simplify]: Extracting #1: cost 0 inf + 1 362.348 * [simplify]: Simplified to 0 362.349 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 362.349 * * * * [progress]: [ 548 / 2246 ] simplifiying candidate # 362.349 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 362.349 * * [simplify]: iters left: 6 (22 enodes) 362.356 * * [simplify]: iters left: 5 (86 enodes) 362.373 * * [simplify]: iters left: 4 (152 enodes) 362.404 * * [simplify]: iters left: 3 (348 enodes) 362.505 * * [simplify]: Extracting #0: cost 1 inf + 0 362.505 * * [simplify]: Extracting #1: cost 11 inf + 0 362.505 * * [simplify]: Extracting #2: cost 75 inf + 0 362.506 * * [simplify]: Extracting #3: cost 131 inf + 1 362.506 * * [simplify]: Extracting #4: cost 131 inf + 206 362.507 * * [simplify]: Extracting #5: cost 120 inf + 1561 362.508 * * [simplify]: Extracting #6: cost 96 inf + 5725 362.513 * * [simplify]: Extracting #7: cost 38 inf + 23851 362.522 * * [simplify]: Extracting #8: cost 2 inf + 37377 362.532 * * [simplify]: Extracting #9: cost 0 inf + 38139 362.541 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) 362.542 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))))) 362.542 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1))) 362.542 * * [simplify]: iters left: 6 (16 enodes) 362.546 * * [simplify]: iters left: 5 (63 enodes) 362.557 * * [simplify]: iters left: 4 (113 enodes) 362.583 * * [simplify]: iters left: 3 (256 enodes) 362.651 * * [simplify]: Extracting #0: cost 1 inf + 0 362.651 * * [simplify]: Extracting #1: cost 0 inf + 1 362.651 * [simplify]: Simplified to 0 362.651 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 0))) 362.652 * * * * [progress]: [ 549 / 2246 ] simplifiying candidate # 362.652 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 362.652 * * [simplify]: iters left: 6 (24 enodes) 362.659 * * [simplify]: iters left: 5 (94 enodes) 362.675 * * [simplify]: iters left: 4 (178 enodes) 362.715 * * [simplify]: iters left: 3 (396 enodes) 362.831 * * [simplify]: Extracting #0: cost 1 inf + 0 362.832 * * [simplify]: Extracting #1: cost 11 inf + 0 362.832 * * [simplify]: Extracting #2: cost 103 inf + 0 362.832 * * [simplify]: Extracting #3: cost 160 inf + 772 362.833 * * [simplify]: Extracting #4: cost 147 inf + 2064 362.834 * * [simplify]: Extracting #5: cost 140 inf + 3047 362.836 * * [simplify]: Extracting #6: cost 135 inf + 3857 362.839 * * [simplify]: Extracting #7: cost 98 inf + 17206 362.851 * * [simplify]: Extracting #8: cost 20 inf + 51374 362.868 * * [simplify]: Extracting #9: cost 0 inf + 61174 362.886 * * [simplify]: Extracting #10: cost 0 inf + 61173 362.905 * [simplify]: Simplified to (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 362.905 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 362.906 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 362.906 * * [simplify]: iters left: 6 (18 enodes) 362.911 * * [simplify]: iters left: 5 (71 enodes) 362.923 * * [simplify]: iters left: 4 (135 enodes) 362.952 * * [simplify]: iters left: 3 (317 enodes) 363.049 * * [simplify]: Extracting #0: cost 1 inf + 0 363.049 * * [simplify]: Extracting #1: cost 0 inf + 1 363.049 * [simplify]: Simplified to 0 363.049 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 363.050 * * * * [progress]: [ 550 / 2246 ] simplifiying candidate # 363.050 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 363.050 * * [simplify]: iters left: 6 (23 enodes) 363.057 * * [simplify]: iters left: 5 (89 enodes) 363.071 * * [simplify]: iters left: 4 (151 enodes) 363.102 * * [simplify]: iters left: 3 (300 enodes) 363.172 * * [simplify]: Extracting #0: cost 1 inf + 0 363.172 * * [simplify]: Extracting #1: cost 11 inf + 0 363.173 * * [simplify]: Extracting #2: cost 79 inf + 0 363.173 * * [simplify]: Extracting #3: cost 118 inf + 206 363.174 * * [simplify]: Extracting #4: cost 108 inf + 1190 363.175 * * [simplify]: Extracting #5: cost 92 inf + 3323 363.178 * * [simplify]: Extracting #6: cost 54 inf + 15530 363.186 * * [simplify]: Extracting #7: cost 3 inf + 33969 363.195 * * [simplify]: Extracting #8: cost 0 inf + 35181 363.204 * [simplify]: Simplified to (- (/ (cbrt 1/2) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 363.204 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (cbrt 1/2) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 363.204 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 363.204 * * [simplify]: iters left: 6 (17 enodes) 363.209 * * [simplify]: iters left: 5 (66 enodes) 363.220 * * [simplify]: iters left: 4 (111 enodes) 363.244 * * [simplify]: iters left: 3 (224 enodes) 363.297 * * [simplify]: iters left: 2 (415 enodes) 363.398 * * [simplify]: Extracting #0: cost 1 inf + 0 363.398 * * [simplify]: Extracting #1: cost 0 inf + 1 363.398 * [simplify]: Simplified to 0 363.398 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 363.398 * * * * [progress]: [ 551 / 2246 ] simplifiying candidate # 363.399 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 363.399 * * [simplify]: iters left: 6 (22 enodes) 363.408 * * [simplify]: iters left: 5 (81 enodes) 363.421 * * [simplify]: iters left: 4 (136 enodes) 363.444 * * [simplify]: iters left: 3 (254 enodes) 363.497 * * [simplify]: iters left: 2 (464 enodes) 363.617 * * [simplify]: Extracting #0: cost 1 inf + 0 363.617 * * [simplify]: Extracting #1: cost 11 inf + 0 363.617 * * [simplify]: Extracting #2: cost 59 inf + 0 363.617 * * [simplify]: Extracting #3: cost 93 inf + 125 363.618 * * [simplify]: Extracting #4: cost 85 inf + 1191 363.619 * * [simplify]: Extracting #5: cost 67 inf + 3834 363.623 * * [simplify]: Extracting #6: cost 20 inf + 17981 363.630 * * [simplify]: Extracting #7: cost 0 inf + 24473 363.636 * * [simplify]: Extracting #8: cost 0 inf + 24423 363.643 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 363.643 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))))) 363.643 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1))) 363.644 * * [simplify]: iters left: 6 (16 enodes) 363.648 * * [simplify]: iters left: 5 (58 enodes) 363.658 * * [simplify]: iters left: 4 (106 enodes) 363.678 * * [simplify]: iters left: 3 (186 enodes) 363.717 * * [simplify]: iters left: 2 (342 enodes) 363.793 * * [simplify]: iters left: 1 (486 enodes) 363.895 * * [simplify]: Extracting #0: cost 1 inf + 0 363.895 * * [simplify]: Extracting #1: cost 0 inf + 1 363.895 * [simplify]: Simplified to 0 363.895 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 363.896 * * * * [progress]: [ 552 / 2246 ] simplifiying candidate # 363.896 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 363.896 * * [simplify]: iters left: 6 (21 enodes) 363.905 * * [simplify]: iters left: 5 (82 enodes) 363.918 * * [simplify]: iters left: 4 (138 enodes) 363.942 * * [simplify]: iters left: 3 (239 enodes) 363.989 * * [simplify]: iters left: 2 (419 enodes) 364.093 * * [simplify]: Extracting #0: cost 1 inf + 0 364.093 * * [simplify]: Extracting #1: cost 11 inf + 0 364.093 * * [simplify]: Extracting #2: cost 51 inf + 0 364.094 * * [simplify]: Extracting #3: cost 89 inf + 125 364.094 * * [simplify]: Extracting #4: cost 77 inf + 1619 364.095 * * [simplify]: Extracting #5: cost 60 inf + 4102 364.099 * * [simplify]: Extracting #6: cost 16 inf + 17544 364.105 * * [simplify]: Extracting #7: cost 0 inf + 22512 364.111 * * [simplify]: Extracting #8: cost 0 inf + 22286 364.117 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 364.117 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))))) 364.117 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1)))) 364.117 * * [simplify]: iters left: 6 (17 enodes) 364.123 * * [simplify]: iters left: 5 (66 enodes) 364.134 * * [simplify]: iters left: 4 (101 enodes) 364.150 * * [simplify]: iters left: 3 (170 enodes) 364.181 * * [simplify]: iters left: 2 (266 enodes) 364.234 * * [simplify]: iters left: 1 (380 enodes) 364.318 * * [simplify]: Extracting #0: cost 1 inf + 0 364.318 * * [simplify]: Extracting #1: cost 0 inf + 1 364.318 * [simplify]: Simplified to 0 364.318 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 364.318 * * * * [progress]: [ 553 / 2246 ] simplifiying candidate # 364.318 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 364.319 * * [simplify]: iters left: 6 (21 enodes) 364.326 * * [simplify]: iters left: 5 (82 enodes) 364.339 * * [simplify]: iters left: 4 (138 enodes) 364.365 * * [simplify]: iters left: 3 (239 enodes) 364.411 * * [simplify]: iters left: 2 (419 enodes) 364.513 * * [simplify]: Extracting #0: cost 1 inf + 0 364.513 * * [simplify]: Extracting #1: cost 11 inf + 0 364.514 * * [simplify]: Extracting #2: cost 51 inf + 0 364.514 * * [simplify]: Extracting #3: cost 89 inf + 125 364.514 * * [simplify]: Extracting #4: cost 77 inf + 1619 364.516 * * [simplify]: Extracting #5: cost 60 inf + 4102 364.519 * * [simplify]: Extracting #6: cost 16 inf + 17544 364.525 * * [simplify]: Extracting #7: cost 0 inf + 22512 364.532 * * [simplify]: Extracting #8: cost 0 inf + 22286 364.540 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 364.540 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))))) 364.540 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1)))) 364.540 * * [simplify]: iters left: 6 (17 enodes) 364.546 * * [simplify]: iters left: 5 (66 enodes) 364.556 * * [simplify]: iters left: 4 (101 enodes) 364.572 * * [simplify]: iters left: 3 (170 enodes) 364.602 * * [simplify]: iters left: 2 (266 enodes) 364.654 * * [simplify]: iters left: 1 (380 enodes) 364.741 * * [simplify]: Extracting #0: cost 1 inf + 0 364.742 * * [simplify]: Extracting #1: cost 0 inf + 1 364.742 * [simplify]: Simplified to 0 364.742 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 364.742 * * * * [progress]: [ 554 / 2246 ] simplifiying candidate # 364.742 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 364.742 * * [simplify]: iters left: 6 (22 enodes) 364.749 * * [simplify]: iters left: 5 (81 enodes) 364.762 * * [simplify]: iters left: 4 (136 enodes) 364.785 * * [simplify]: iters left: 3 (254 enodes) 364.839 * * [simplify]: iters left: 2 (464 enodes) 364.958 * * [simplify]: Extracting #0: cost 1 inf + 0 364.958 * * [simplify]: Extracting #1: cost 11 inf + 0 364.958 * * [simplify]: Extracting #2: cost 59 inf + 0 364.958 * * [simplify]: Extracting #3: cost 93 inf + 125 364.959 * * [simplify]: Extracting #4: cost 85 inf + 1191 364.960 * * [simplify]: Extracting #5: cost 67 inf + 3834 364.964 * * [simplify]: Extracting #6: cost 20 inf + 17981 364.970 * * [simplify]: Extracting #7: cost 0 inf + 24473 364.979 * * [simplify]: Extracting #8: cost 0 inf + 24423 364.986 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 364.986 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))))) 364.986 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1))) 364.986 * * [simplify]: iters left: 6 (16 enodes) 364.990 * * [simplify]: iters left: 5 (58 enodes) 365.000 * * [simplify]: iters left: 4 (106 enodes) 365.018 * * [simplify]: iters left: 3 (186 enodes) 365.060 * * [simplify]: iters left: 2 (342 enodes) 365.134 * * [simplify]: iters left: 1 (486 enodes) 365.239 * * [simplify]: Extracting #0: cost 1 inf + 0 365.239 * * [simplify]: Extracting #1: cost 0 inf + 1 365.239 * [simplify]: Simplified to 0 365.239 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 365.239 * * * * [progress]: [ 555 / 2246 ] simplifiying candidate # 365.239 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 365.239 * * [simplify]: iters left: 6 (25 enodes) 365.247 * * [simplify]: iters left: 5 (101 enodes) 365.263 * * [simplify]: iters left: 4 (211 enodes) 365.314 * * [simplify]: Extracting #0: cost 1 inf + 0 365.314 * * [simplify]: Extracting #1: cost 11 inf + 0 365.314 * * [simplify]: Extracting #2: cost 106 inf + 0 365.314 * * [simplify]: Extracting #3: cost 180 inf + 367 365.315 * * [simplify]: Extracting #4: cost 180 inf + 852 365.316 * * [simplify]: Extracting #5: cost 172 inf + 2419 365.317 * * [simplify]: Extracting #6: cost 150 inf + 6824 365.319 * * [simplify]: Extracting #7: cost 124 inf + 15453 365.329 * * [simplify]: Extracting #8: cost 36 inf + 59594 365.345 * * [simplify]: Extracting #9: cost 0 inf + 77967 365.361 * * [simplify]: Extracting #10: cost 0 inf + 77629 365.379 * * [simplify]: Extracting #11: cost 0 inf + 77588 365.395 * [simplify]: Simplified to (- (* (* (cbrt 1/2) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt 1/2)) (/ (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 365.395 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (* (cbrt 1/2) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt 1/2)) (/ (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 365.396 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 365.396 * * [simplify]: iters left: 6 (19 enodes) 365.401 * * [simplify]: iters left: 5 (78 enodes) 365.414 * * [simplify]: iters left: 4 (164 enodes) 365.457 * * [simplify]: iters left: 3 (469 enodes) 365.723 * * [simplify]: Extracting #0: cost 1 inf + 0 365.723 * * [simplify]: Extracting #1: cost 0 inf + 1 365.723 * [simplify]: Simplified to 0 365.723 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 365.723 * * * * [progress]: [ 556 / 2246 ] simplifiying candidate # 365.724 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 365.724 * * [simplify]: iters left: 6 (24 enodes) 365.731 * * [simplify]: iters left: 5 (96 enodes) 365.747 * * [simplify]: iters left: 4 (181 enodes) 365.787 * * [simplify]: iters left: 3 (426 enodes) 365.940 * * [simplify]: Extracting #0: cost 1 inf + 0 365.941 * * [simplify]: Extracting #1: cost 11 inf + 0 365.941 * * [simplify]: Extracting #2: cost 146 inf + 0 365.945 * * [simplify]: Extracting #3: cost 255 inf + 490 365.946 * * [simplify]: Extracting #4: cost 251 inf + 1461 365.947 * * [simplify]: Extracting #5: cost 244 inf + 2841 365.949 * * [simplify]: Extracting #6: cost 216 inf + 8873 365.953 * * [simplify]: Extracting #7: cost 174 inf + 21549 365.972 * * [simplify]: Extracting #8: cost 34 inf + 81825 365.997 * * [simplify]: Extracting #9: cost 0 inf + 97827 366.021 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (cbrt (hypot 1 x))))) 366.021 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (cbrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 366.021 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 366.022 * * [simplify]: iters left: 6 (18 enodes) 366.027 * * [simplify]: iters left: 5 (73 enodes) 366.041 * * [simplify]: iters left: 4 (136 enodes) 366.069 * * [simplify]: iters left: 3 (336 enodes) 366.207 * * [simplify]: Extracting #0: cost 1 inf + 0 366.207 * * [simplify]: Extracting #1: cost 0 inf + 1 366.207 * [simplify]: Simplified to 0 366.207 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 366.207 * * * * [progress]: [ 557 / 2246 ] simplifiying candidate # 366.207 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 366.208 * * [simplify]: iters left: 6 (23 enodes) 366.214 * * [simplify]: iters left: 5 (91 enodes) 366.230 * * [simplify]: iters left: 4 (174 enodes) 366.267 * * [simplify]: iters left: 3 (398 enodes) 366.407 * * [simplify]: Extracting #0: cost 1 inf + 0 366.407 * * [simplify]: Extracting #1: cost 11 inf + 0 366.407 * * [simplify]: Extracting #2: cost 146 inf + 0 366.408 * * [simplify]: Extracting #3: cost 221 inf + 327 366.409 * * [simplify]: Extracting #4: cost 217 inf + 1300 366.411 * * [simplify]: Extracting #5: cost 204 inf + 3849 366.416 * * [simplify]: Extracting #6: cost 122 inf + 27797 366.431 * * [simplify]: Extracting #7: cost 23 inf + 65246 366.451 * * [simplify]: Extracting #8: cost 0 inf + 73886 366.469 * * [simplify]: Extracting #9: cost 0 inf + 73736 366.486 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1/2 (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 366.486 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1/2 (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 366.486 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 366.486 * * [simplify]: iters left: 6 (17 enodes) 366.491 * * [simplify]: iters left: 5 (68 enodes) 366.503 * * [simplify]: iters left: 4 (127 enodes) 366.532 * * [simplify]: iters left: 3 (292 enodes) 366.639 * * [simplify]: Extracting #0: cost 1 inf + 0 366.639 * * [simplify]: Extracting #1: cost 0 inf + 1 366.641 * [simplify]: Simplified to 0 366.641 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 366.641 * * * * [progress]: [ 558 / 2246 ] simplifiying candidate # 366.642 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 366.642 * * [simplify]: iters left: 6 (22 enodes) 366.648 * * [simplify]: iters left: 5 (89 enodes) 366.663 * * [simplify]: iters left: 4 (148 enodes) 366.691 * * [simplify]: iters left: 3 (323 enodes) 366.784 * * [simplify]: Extracting #0: cost 1 inf + 0 366.784 * * [simplify]: Extracting #1: cost 11 inf + 0 366.785 * * [simplify]: Extracting #2: cost 104 inf + 0 366.785 * * [simplify]: Extracting #3: cost 166 inf + 328 366.786 * * [simplify]: Extracting #4: cost 161 inf + 1462 366.787 * * [simplify]: Extracting #5: cost 161 inf + 1520 366.788 * * [simplify]: Extracting #6: cost 133 inf + 7472 366.791 * * [simplify]: Extracting #7: cost 105 inf + 13448 366.797 * * [simplify]: Extracting #8: cost 42 inf + 36146 366.808 * * [simplify]: Extracting #9: cost 0 inf + 52919 366.819 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))))) 366.819 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 366.820 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 366.820 * * [simplify]: iters left: 6 (18 enodes) 366.825 * * [simplify]: iters left: 5 (73 enodes) 366.837 * * [simplify]: iters left: 4 (112 enodes) 366.860 * * [simplify]: iters left: 3 (236 enodes) 366.933 * * [simplify]: Extracting #0: cost 1 inf + 0 366.934 * * [simplify]: Extracting #1: cost 20 inf + 0 366.934 * * [simplify]: Extracting #2: cost 95 inf + 1 366.934 * * [simplify]: Extracting #3: cost 118 inf + 4 366.935 * * [simplify]: Extracting #4: cost 111 inf + 1145 366.936 * * [simplify]: Extracting #5: cost 86 inf + 6974 366.938 * * [simplify]: Extracting #6: cost 75 inf + 9748 366.940 * * [simplify]: Extracting #7: cost 70 inf + 10597 366.945 * * [simplify]: Extracting #8: cost 17 inf + 29887 366.954 * * [simplify]: Extracting #9: cost 0 inf + 36382 366.963 * * [simplify]: Extracting #10: cost 0 inf + 36332 366.972 * [simplify]: Simplified to (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 366.972 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) 366.973 * * * * [progress]: [ 559 / 2246 ] simplifiying candidate # 366.973 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 366.973 * * [simplify]: iters left: 6 (22 enodes) 366.982 * * [simplify]: iters left: 5 (89 enodes) 366.997 * * [simplify]: iters left: 4 (148 enodes) 367.025 * * [simplify]: iters left: 3 (323 enodes) 367.118 * * [simplify]: Extracting #0: cost 1 inf + 0 367.118 * * [simplify]: Extracting #1: cost 11 inf + 0 367.119 * * [simplify]: Extracting #2: cost 104 inf + 0 367.119 * * [simplify]: Extracting #3: cost 166 inf + 328 367.120 * * [simplify]: Extracting #4: cost 161 inf + 1462 367.121 * * [simplify]: Extracting #5: cost 161 inf + 1520 367.122 * * [simplify]: Extracting #6: cost 133 inf + 7472 367.124 * * [simplify]: Extracting #7: cost 105 inf + 13448 367.130 * * [simplify]: Extracting #8: cost 42 inf + 36146 367.142 * * [simplify]: Extracting #9: cost 0 inf + 52919 367.153 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))))) 367.153 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 367.154 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 367.154 * * [simplify]: iters left: 6 (18 enodes) 367.159 * * [simplify]: iters left: 5 (73 enodes) 367.172 * * [simplify]: iters left: 4 (112 enodes) 367.194 * * [simplify]: iters left: 3 (236 enodes) 367.266 * * [simplify]: Extracting #0: cost 1 inf + 0 367.267 * * [simplify]: Extracting #1: cost 20 inf + 0 367.267 * * [simplify]: Extracting #2: cost 95 inf + 1 367.267 * * [simplify]: Extracting #3: cost 118 inf + 4 367.268 * * [simplify]: Extracting #4: cost 111 inf + 1145 367.269 * * [simplify]: Extracting #5: cost 86 inf + 6974 367.271 * * [simplify]: Extracting #6: cost 75 inf + 9748 367.273 * * [simplify]: Extracting #7: cost 70 inf + 10597 367.278 * * [simplify]: Extracting #8: cost 17 inf + 29887 367.287 * * [simplify]: Extracting #9: cost 0 inf + 36382 367.296 * * [simplify]: Extracting #10: cost 0 inf + 36332 367.305 * [simplify]: Simplified to (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 367.305 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) 367.305 * * * * [progress]: [ 560 / 2246 ] simplifiying candidate # 367.305 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 367.306 * * [simplify]: iters left: 6 (23 enodes) 367.313 * * [simplify]: iters left: 5 (91 enodes) 367.331 * * [simplify]: iters left: 4 (174 enodes) 367.368 * * [simplify]: iters left: 3 (398 enodes) 367.506 * * [simplify]: Extracting #0: cost 1 inf + 0 367.507 * * [simplify]: Extracting #1: cost 11 inf + 0 367.507 * * [simplify]: Extracting #2: cost 146 inf + 0 367.508 * * [simplify]: Extracting #3: cost 221 inf + 327 367.509 * * [simplify]: Extracting #4: cost 217 inf + 1300 367.510 * * [simplify]: Extracting #5: cost 204 inf + 3849 367.516 * * [simplify]: Extracting #6: cost 122 inf + 27797 367.531 * * [simplify]: Extracting #7: cost 23 inf + 65246 367.549 * * [simplify]: Extracting #8: cost 0 inf + 73886 367.568 * * [simplify]: Extracting #9: cost 0 inf + 73736 367.586 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1/2 (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 367.586 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1/2 (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 367.586 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 367.586 * * [simplify]: iters left: 6 (17 enodes) 367.591 * * [simplify]: iters left: 5 (68 enodes) 367.603 * * [simplify]: iters left: 4 (127 enodes) 367.631 * * [simplify]: iters left: 3 (292 enodes) 367.739 * * [simplify]: Extracting #0: cost 1 inf + 0 367.739 * * [simplify]: Extracting #1: cost 0 inf + 1 367.739 * [simplify]: Simplified to 0 367.739 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 367.739 * * * * [progress]: [ 561 / 2246 ] simplifiying candidate # 367.740 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 367.740 * * [simplify]: iters left: 6 (24 enodes) 367.747 * * [simplify]: iters left: 5 (96 enodes) 367.766 * * [simplify]: iters left: 4 (196 enodes) 367.808 * * [simplify]: iters left: 3 (461 enodes) 367.988 * * [simplify]: Extracting #0: cost 1 inf + 0 367.988 * * [simplify]: Extracting #1: cost 11 inf + 0 367.989 * * [simplify]: Extracting #2: cost 167 inf + 0 367.990 * * [simplify]: Extracting #3: cost 301 inf + 490 367.991 * * [simplify]: Extracting #4: cost 298 inf + 1300 367.993 * * [simplify]: Extracting #5: cost 292 inf + 2167 367.995 * * [simplify]: Extracting #6: cost 271 inf + 5553 367.999 * * [simplify]: Extracting #7: cost 234 inf + 19238 368.019 * * [simplify]: Extracting #8: cost 86 inf + 85968 368.051 * * [simplify]: Extracting #9: cost 0 inf + 126350 368.086 * * [simplify]: Extracting #10: cost 0 inf + 126270 368.118 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (* (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 368.119 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (* (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 368.119 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 368.119 * * [simplify]: iters left: 6 (18 enodes) 368.124 * * [simplify]: iters left: 5 (73 enodes) 368.136 * * [simplify]: iters left: 4 (149 enodes) 368.171 * * [simplify]: iters left: 3 (359 enodes) 368.326 * * [simplify]: Extracting #0: cost 1 inf + 0 368.326 * * [simplify]: Extracting #1: cost 0 inf + 1 368.326 * [simplify]: Simplified to 0 368.326 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 368.327 * * * * [progress]: [ 562 / 2246 ] simplifiying candidate # 368.327 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 368.327 * * [simplify]: iters left: 6 (23 enodes) 368.334 * * [simplify]: iters left: 5 (90 enodes) 368.349 * * [simplify]: iters left: 4 (166 enodes) 368.381 * * [simplify]: iters left: 3 (348 enodes) 368.488 * * [simplify]: Extracting #0: cost 1 inf + 0 368.489 * * [simplify]: Extracting #1: cost 11 inf + 0 368.489 * * [simplify]: Extracting #2: cost 133 inf + 0 368.490 * * [simplify]: Extracting #3: cost 203 inf + 529 368.491 * * [simplify]: Extracting #4: cost 199 inf + 1461 368.492 * * [simplify]: Extracting #5: cost 190 inf + 2635 368.493 * * [simplify]: Extracting #6: cost 175 inf + 5196 368.497 * * [simplify]: Extracting #7: cost 130 inf + 19707 368.514 * * [simplify]: Extracting #8: cost 21 inf + 62053 368.532 * * [simplify]: Extracting #9: cost 0 inf + 70166 368.549 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 368.549 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 368.550 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 368.550 * * [simplify]: iters left: 6 (17 enodes) 368.554 * * [simplify]: iters left: 5 (67 enodes) 368.565 * * [simplify]: iters left: 4 (121 enodes) 368.591 * * [simplify]: iters left: 3 (261 enodes) 368.680 * * [simplify]: Extracting #0: cost 1 inf + 0 368.680 * * [simplify]: Extracting #1: cost 0 inf + 1 368.680 * [simplify]: Simplified to 0 368.680 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 368.680 * * * * [progress]: [ 563 / 2246 ] simplifiying candidate # 368.681 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 368.681 * * [simplify]: iters left: 6 (22 enodes) 368.687 * * [simplify]: iters left: 5 (86 enodes) 368.702 * * [simplify]: iters left: 4 (154 enodes) 368.736 * * [simplify]: iters left: 3 (326 enodes) 368.842 * * [simplify]: Extracting #0: cost 1 inf + 0 368.843 * * [simplify]: Extracting #1: cost 11 inf + 0 368.843 * * [simplify]: Extracting #2: cost 116 inf + 0 368.843 * * [simplify]: Extracting #3: cost 153 inf + 206 368.844 * * [simplify]: Extracting #4: cost 150 inf + 1017 368.845 * * [simplify]: Extracting #5: cost 147 inf + 1520 368.846 * * [simplify]: Extracting #6: cost 132 inf + 3760 368.852 * * [simplify]: Extracting #7: cost 41 inf + 31013 368.862 * * [simplify]: Extracting #8: cost 1 inf + 43765 368.873 * * [simplify]: Extracting #9: cost 0 inf + 44374 368.883 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) 368.883 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))))) 368.884 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1))) 368.884 * * [simplify]: iters left: 6 (16 enodes) 368.888 * * [simplify]: iters left: 5 (63 enodes) 368.901 * * [simplify]: iters left: 4 (109 enodes) 368.925 * * [simplify]: iters left: 3 (230 enodes) 368.998 * * [simplify]: Extracting #0: cost 1 inf + 0 368.998 * * [simplify]: Extracting #1: cost 0 inf + 1 368.998 * [simplify]: Simplified to 0 368.998 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 0))) 368.998 * * * * [progress]: [ 564 / 2246 ] simplifiying candidate # 368.999 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 368.999 * * [simplify]: iters left: 6 (21 enodes) 369.005 * * [simplify]: iters left: 5 (84 enodes) 369.019 * * [simplify]: iters left: 4 (137 enodes) 369.048 * * [simplify]: iters left: 3 (297 enodes) 369.128 * * [simplify]: Extracting #0: cost 1 inf + 0 369.128 * * [simplify]: Extracting #1: cost 17 inf + 0 369.128 * * [simplify]: Extracting #2: cost 99 inf + 0 369.129 * * [simplify]: Extracting #3: cost 127 inf + 490 369.129 * * [simplify]: Extracting #4: cost 127 inf + 1016 369.130 * * [simplify]: Extracting #5: cost 123 inf + 1577 369.131 * * [simplify]: Extracting #6: cost 107 inf + 4076 369.136 * * [simplify]: Extracting #7: cost 33 inf + 26116 369.144 * * [simplify]: Extracting #8: cost 0 inf + 37169 369.153 * * [simplify]: Extracting #9: cost 0 inf + 36902 369.164 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x)))) 369.164 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x)))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))))) 369.164 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)))) 369.164 * * [simplify]: iters left: 6 (17 enodes) 369.169 * * [simplify]: iters left: 5 (68 enodes) 369.181 * * [simplify]: iters left: 4 (102 enodes) 369.199 * * [simplify]: iters left: 3 (202 enodes) 369.254 * * [simplify]: iters left: 2 (433 enodes) 369.436 * * [simplify]: Extracting #0: cost 1 inf + 0 369.436 * * [simplify]: Extracting #1: cost 0 inf + 1 369.436 * [simplify]: Simplified to 0 369.436 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 369.437 * * * * [progress]: [ 565 / 2246 ] simplifiying candidate # 369.437 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 369.437 * * [simplify]: iters left: 6 (21 enodes) 369.444 * * [simplify]: iters left: 5 (84 enodes) 369.461 * * [simplify]: iters left: 4 (137 enodes) 369.487 * * [simplify]: iters left: 3 (297 enodes) 369.567 * * [simplify]: Extracting #0: cost 1 inf + 0 369.567 * * [simplify]: Extracting #1: cost 17 inf + 0 369.567 * * [simplify]: Extracting #2: cost 99 inf + 0 369.568 * * [simplify]: Extracting #3: cost 127 inf + 490 369.568 * * [simplify]: Extracting #4: cost 127 inf + 1016 369.569 * * [simplify]: Extracting #5: cost 123 inf + 1577 369.570 * * [simplify]: Extracting #6: cost 107 inf + 4076 369.574 * * [simplify]: Extracting #7: cost 33 inf + 26116 369.585 * * [simplify]: Extracting #8: cost 0 inf + 37169 369.594 * * [simplify]: Extracting #9: cost 0 inf + 36902 369.602 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x)))) 369.602 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x)))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))))) 369.603 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)))) 369.603 * * [simplify]: iters left: 6 (17 enodes) 369.608 * * [simplify]: iters left: 5 (68 enodes) 369.619 * * [simplify]: iters left: 4 (102 enodes) 369.638 * * [simplify]: iters left: 3 (202 enodes) 369.692 * * [simplify]: iters left: 2 (433 enodes) 369.877 * * [simplify]: Extracting #0: cost 1 inf + 0 369.877 * * [simplify]: Extracting #1: cost 0 inf + 1 369.877 * [simplify]: Simplified to 0 369.877 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 369.877 * * * * [progress]: [ 566 / 2246 ] simplifiying candidate # 369.877 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 369.877 * * [simplify]: iters left: 6 (22 enodes) 369.884 * * [simplify]: iters left: 5 (86 enodes) 369.898 * * [simplify]: iters left: 4 (154 enodes) 369.930 * * [simplify]: iters left: 3 (326 enodes) 370.037 * * [simplify]: Extracting #0: cost 1 inf + 0 370.037 * * [simplify]: Extracting #1: cost 11 inf + 0 370.037 * * [simplify]: Extracting #2: cost 116 inf + 0 370.038 * * [simplify]: Extracting #3: cost 153 inf + 206 370.038 * * [simplify]: Extracting #4: cost 150 inf + 1017 370.039 * * [simplify]: Extracting #5: cost 147 inf + 1520 370.040 * * [simplify]: Extracting #6: cost 132 inf + 3760 370.046 * * [simplify]: Extracting #7: cost 41 inf + 31013 370.059 * * [simplify]: Extracting #8: cost 1 inf + 43765 370.069 * * [simplify]: Extracting #9: cost 0 inf + 44374 370.080 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) 370.080 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))))) 370.080 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1))) 370.081 * * [simplify]: iters left: 6 (16 enodes) 370.085 * * [simplify]: iters left: 5 (63 enodes) 370.095 * * [simplify]: iters left: 4 (109 enodes) 370.119 * * [simplify]: iters left: 3 (230 enodes) 370.193 * * [simplify]: Extracting #0: cost 1 inf + 0 370.193 * * [simplify]: Extracting #1: cost 0 inf + 1 370.193 * [simplify]: Simplified to 0 370.193 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 0))) 370.194 * * * * [progress]: [ 567 / 2246 ] simplifiying candidate # 370.194 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 370.194 * * [simplify]: iters left: 6 (22 enodes) 370.200 * * [simplify]: iters left: 5 (86 enodes) 370.215 * * [simplify]: iters left: 4 (168 enodes) 370.249 * * [simplify]: iters left: 3 (369 enodes) 370.377 * * [simplify]: Extracting #0: cost 1 inf + 0 370.377 * * [simplify]: Extracting #1: cost 11 inf + 0 370.377 * * [simplify]: Extracting #2: cost 133 inf + 0 370.378 * * [simplify]: Extracting #3: cost 190 inf + 449 370.379 * * [simplify]: Extracting #4: cost 180 inf + 1651 370.381 * * [simplify]: Extracting #5: cost 150 inf + 11384 370.393 * * [simplify]: Extracting #6: cost 31 inf + 58626 370.411 * * [simplify]: Extracting #7: cost 0 inf + 71675 370.428 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (cbrt 1/2))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 370.428 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (cbrt 1/2))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 370.429 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 370.429 * * [simplify]: iters left: 6 (16 enodes) 370.433 * * [simplify]: iters left: 5 (63 enodes) 370.447 * * [simplify]: iters left: 4 (123 enodes) 370.474 * * [simplify]: iters left: 3 (281 enodes) 370.577 * * [simplify]: Extracting #0: cost 1 inf + 0 370.577 * * [simplify]: Extracting #1: cost 0 inf + 1 370.577 * [simplify]: Simplified to 0 370.577 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 370.577 * * * * [progress]: [ 568 / 2246 ] simplifiying candidate # 370.577 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 370.577 * * [simplify]: iters left: 6 (21 enodes) 370.584 * * [simplify]: iters left: 5 (81 enodes) 370.597 * * [simplify]: iters left: 4 (144 enodes) 370.628 * * [simplify]: iters left: 3 (272 enodes) 370.694 * * [simplify]: Extracting #0: cost 1 inf + 0 370.694 * * [simplify]: Extracting #1: cost 11 inf + 0 370.694 * * [simplify]: Extracting #2: cost 89 inf + 0 370.695 * * [simplify]: Extracting #3: cost 116 inf + 85 370.695 * * [simplify]: Extracting #4: cost 107 inf + 1110 370.696 * * [simplify]: Extracting #5: cost 98 inf + 2301 370.699 * * [simplify]: Extracting #6: cost 52 inf + 16656 370.706 * * [simplify]: Extracting #7: cost 2 inf + 33817 370.715 * * [simplify]: Extracting #8: cost 0 inf + 34492 370.723 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 370.723 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 370.723 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 370.723 * * [simplify]: iters left: 6 (15 enodes) 370.727 * * [simplify]: iters left: 5 (58 enodes) 370.737 * * [simplify]: iters left: 4 (101 enodes) 370.759 * * [simplify]: iters left: 3 (184 enodes) 370.804 * * [simplify]: iters left: 2 (365 enodes) 370.926 * * [simplify]: Extracting #0: cost 1 inf + 0 370.926 * * [simplify]: Extracting #1: cost 0 inf + 1 370.926 * [simplify]: Simplified to 0 370.926 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 370.926 * * * * [progress]: [ 569 / 2246 ] simplifiying candidate # 370.926 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 370.926 * * [simplify]: iters left: 6 (20 enodes) 370.932 * * [simplify]: iters left: 5 (75 enodes) 370.944 * * [simplify]: iters left: 4 (105 enodes) 370.961 * * [simplify]: iters left: 3 (174 enodes) 370.988 * * [simplify]: iters left: 2 (267 enodes) 371.041 * * [simplify]: iters left: 1 (391 enodes) 371.159 * * [simplify]: Extracting #0: cost 1 inf + 0 371.159 * * [simplify]: Extracting #1: cost 9 inf + 0 371.159 * * [simplify]: Extracting #2: cost 74 inf + 2 371.160 * * [simplify]: Extracting #3: cost 120 inf + 85 371.161 * * [simplify]: Extracting #4: cost 106 inf + 2580 371.162 * * [simplify]: Extracting #5: cost 79 inf + 6594 371.168 * * [simplify]: Extracting #6: cost 31 inf + 20944 371.176 * * [simplify]: Extracting #7: cost 0 inf + 30581 371.184 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 371.184 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))))) 371.184 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1))) 371.185 * * [simplify]: iters left: 6 (14 enodes) 371.188 * * [simplify]: iters left: 5 (51 enodes) 371.197 * * [simplify]: iters left: 4 (77 enodes) 371.209 * * [simplify]: iters left: 3 (112 enodes) 371.229 * * [simplify]: iters left: 2 (165 enodes) 371.255 * * [simplify]: iters left: 1 (238 enodes) 371.304 * * [simplify]: Extracting #0: cost 1 inf + 0 371.304 * * [simplify]: Extracting #1: cost 0 inf + 1 371.304 * [simplify]: Simplified to 0 371.304 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 371.304 * * * * [progress]: [ 570 / 2246 ] simplifiying candidate # 371.305 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 371.305 * * [simplify]: iters left: 6 (19 enodes) 371.312 * * [simplify]: iters left: 5 (75 enodes) 371.325 * * [simplify]: iters left: 4 (107 enodes) 371.343 * * [simplify]: iters left: 3 (176 enodes) 371.373 * * [simplify]: iters left: 2 (289 enodes) 371.441 * * [simplify]: iters left: 1 (472 enodes) 371.642 * * [simplify]: Extracting #0: cost 1 inf + 0 371.642 * * [simplify]: Extracting #1: cost 9 inf + 0 371.643 * * [simplify]: Extracting #2: cost 89 inf + 2 371.643 * * [simplify]: Extracting #3: cost 154 inf + 4 371.644 * * [simplify]: Extracting #4: cost 143 inf + 1848 371.651 * * [simplify]: Extracting #5: cost 46 inf + 25532 371.661 * * [simplify]: Extracting #6: cost 0 inf + 38324 371.672 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 371.672 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))))) 371.672 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1)))) 371.673 * * [simplify]: iters left: 6 (15 enodes) 371.677 * * [simplify]: iters left: 5 (58 enodes) 371.688 * * [simplify]: iters left: 4 (94 enodes) 371.703 * * [simplify]: iters left: 3 (132 enodes) 371.725 * * [simplify]: iters left: 2 (179 enodes) 371.759 * * [simplify]: iters left: 1 (300 enodes) 371.844 * * [simplify]: Extracting #0: cost 1 inf + 0 371.844 * * [simplify]: Extracting #1: cost 0 inf + 1 371.844 * [simplify]: Simplified to 0 371.844 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 371.844 * * * * [progress]: [ 571 / 2246 ] simplifiying candidate # 371.844 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 371.844 * * [simplify]: iters left: 6 (19 enodes) 371.852 * * [simplify]: iters left: 5 (75 enodes) 371.864 * * [simplify]: iters left: 4 (107 enodes) 371.883 * * [simplify]: iters left: 3 (176 enodes) 371.914 * * [simplify]: iters left: 2 (289 enodes) 371.982 * * [simplify]: iters left: 1 (472 enodes) 372.183 * * [simplify]: Extracting #0: cost 1 inf + 0 372.183 * * [simplify]: Extracting #1: cost 9 inf + 0 372.184 * * [simplify]: Extracting #2: cost 89 inf + 2 372.184 * * [simplify]: Extracting #3: cost 154 inf + 4 372.185 * * [simplify]: Extracting #4: cost 143 inf + 1848 372.192 * * [simplify]: Extracting #5: cost 46 inf + 25532 372.202 * * [simplify]: Extracting #6: cost 0 inf + 38324 372.212 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 372.212 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))))) 372.212 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1)))) 372.213 * * [simplify]: iters left: 6 (15 enodes) 372.218 * * [simplify]: iters left: 5 (58 enodes) 372.229 * * [simplify]: iters left: 4 (94 enodes) 372.244 * * [simplify]: iters left: 3 (132 enodes) 372.265 * * [simplify]: iters left: 2 (179 enodes) 372.300 * * [simplify]: iters left: 1 (300 enodes) 372.386 * * [simplify]: Extracting #0: cost 1 inf + 0 372.386 * * [simplify]: Extracting #1: cost 0 inf + 1 372.386 * [simplify]: Simplified to 0 372.386 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 372.386 * * * * [progress]: [ 572 / 2246 ] simplifiying candidate # 372.387 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 372.387 * * [simplify]: iters left: 6 (20 enodes) 372.393 * * [simplify]: iters left: 5 (75 enodes) 372.405 * * [simplify]: iters left: 4 (105 enodes) 372.422 * * [simplify]: iters left: 3 (174 enodes) 372.450 * * [simplify]: iters left: 2 (267 enodes) 372.503 * * [simplify]: iters left: 1 (391 enodes) 372.621 * * [simplify]: Extracting #0: cost 1 inf + 0 372.621 * * [simplify]: Extracting #1: cost 9 inf + 0 372.621 * * [simplify]: Extracting #2: cost 74 inf + 2 372.621 * * [simplify]: Extracting #3: cost 120 inf + 85 372.622 * * [simplify]: Extracting #4: cost 106 inf + 2580 372.623 * * [simplify]: Extracting #5: cost 79 inf + 6594 372.630 * * [simplify]: Extracting #6: cost 31 inf + 20944 372.638 * * [simplify]: Extracting #7: cost 0 inf + 30581 372.646 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 372.646 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))))) 372.646 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1))) 372.646 * * [simplify]: iters left: 6 (14 enodes) 372.650 * * [simplify]: iters left: 5 (51 enodes) 372.659 * * [simplify]: iters left: 4 (77 enodes) 372.672 * * [simplify]: iters left: 3 (112 enodes) 372.691 * * [simplify]: iters left: 2 (165 enodes) 372.718 * * [simplify]: iters left: 1 (238 enodes) 372.766 * * [simplify]: Extracting #0: cost 1 inf + 0 372.766 * * [simplify]: Extracting #1: cost 0 inf + 1 372.766 * [simplify]: Simplified to 0 372.766 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 372.766 * * * * [progress]: [ 573 / 2246 ] simplifiying candidate # 372.767 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 372.767 * * [simplify]: iters left: 6 (21 enodes) 372.774 * * [simplify]: iters left: 5 (85 enodes) 372.788 * * [simplify]: iters left: 4 (163 enodes) 372.821 * * [simplify]: iters left: 3 (346 enodes) 372.925 * * [simplify]: Extracting #0: cost 1 inf + 0 372.925 * * [simplify]: Extracting #1: cost 11 inf + 0 372.925 * * [simplify]: Extracting #2: cost 126 inf + 0 372.926 * * [simplify]: Extracting #3: cost 172 inf + 488 372.927 * * [simplify]: Extracting #4: cost 165 inf + 1333 372.930 * * [simplify]: Extracting #5: cost 108 inf + 20269 372.942 * * [simplify]: Extracting #6: cost 18 inf + 56930 372.959 * * [simplify]: Extracting #7: cost 0 inf + 64584 372.976 * [simplify]: Simplified to (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 372.976 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 372.976 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 372.976 * * [simplify]: iters left: 6 (15 enodes) 372.980 * * [simplify]: iters left: 5 (62 enodes) 372.991 * * [simplify]: iters left: 4 (118 enodes) 373.016 * * [simplify]: iters left: 3 (252 enodes) 373.095 * * [simplify]: Extracting #0: cost 1 inf + 0 373.095 * * [simplify]: Extracting #1: cost 0 inf + 1 373.095 * [simplify]: Simplified to 0 373.095 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 373.095 * * * * [progress]: [ 574 / 2246 ] simplifiying candidate # 373.096 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 373.096 * * [simplify]: iters left: 6 (20 enodes) 373.102 * * [simplify]: iters left: 5 (80 enodes) 373.116 * * [simplify]: iters left: 4 (141 enodes) 373.143 * * [simplify]: iters left: 3 (275 enodes) 373.214 * * [simplify]: Extracting #0: cost 1 inf + 0 373.214 * * [simplify]: Extracting #1: cost 11 inf + 0 373.214 * * [simplify]: Extracting #2: cost 89 inf + 0 373.215 * * [simplify]: Extracting #3: cost 120 inf + 85 373.215 * * [simplify]: Extracting #4: cost 113 inf + 890 373.216 * * [simplify]: Extracting #5: cost 103 inf + 2140 373.219 * * [simplify]: Extracting #6: cost 45 inf + 20220 373.227 * * [simplify]: Extracting #7: cost 2 inf + 35010 373.235 * * [simplify]: Extracting #8: cost 0 inf + 35887 373.244 * [simplify]: Simplified to (- (* (/ (* (cbrt 1/2) (cbrt 1/2)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt 1/2)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 373.244 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (* (cbrt 1/2) (cbrt 1/2)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt 1/2)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 373.244 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 373.244 * * [simplify]: iters left: 6 (14 enodes) 373.248 * * [simplify]: iters left: 5 (57 enodes) 373.258 * * [simplify]: iters left: 4 (98 enodes) 373.277 * * [simplify]: iters left: 3 (181 enodes) 373.324 * * [simplify]: iters left: 2 (360 enodes) 373.448 * * [simplify]: Extracting #0: cost 1 inf + 0 373.448 * * [simplify]: Extracting #1: cost 0 inf + 1 373.448 * [simplify]: Simplified to 0 373.448 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 373.448 * * * * [progress]: [ 575 / 2246 ] simplifiying candidate # 373.449 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 373.449 * * [simplify]: iters left: 6 (19 enodes) 373.455 * * [simplify]: iters left: 5 (74 enodes) 373.467 * * [simplify]: iters left: 4 (104 enodes) 373.484 * * [simplify]: iters left: 3 (173 enodes) 373.511 * * [simplify]: iters left: 2 (266 enodes) 373.564 * * [simplify]: iters left: 1 (391 enodes) 373.682 * * [simplify]: Extracting #0: cost 1 inf + 0 373.682 * * [simplify]: Extracting #1: cost 9 inf + 0 373.682 * * [simplify]: Extracting #2: cost 74 inf + 2 373.683 * * [simplify]: Extracting #3: cost 120 inf + 85 373.683 * * [simplify]: Extracting #4: cost 108 inf + 2178 373.687 * * [simplify]: Extracting #5: cost 39 inf + 19051 373.696 * * [simplify]: Extracting #6: cost 0 inf + 30581 373.704 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 373.704 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))))) 373.705 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1))) 373.705 * * [simplify]: iters left: 6 (13 enodes) 373.708 * * [simplify]: iters left: 5 (50 enodes) 373.717 * * [simplify]: iters left: 4 (76 enodes) 373.730 * * [simplify]: iters left: 3 (111 enodes) 373.747 * * [simplify]: iters left: 2 (147 enodes) 373.773 * * [simplify]: iters left: 1 (234 enodes) 373.820 * * [simplify]: Extracting #0: cost 1 inf + 0 373.820 * * [simplify]: Extracting #1: cost 0 inf + 1 373.820 * [simplify]: Simplified to 0 373.820 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 373.821 * * * * [progress]: [ 576 / 2246 ] simplifiying candidate # 373.821 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 373.821 * * [simplify]: iters left: 6 (18 enodes) 373.830 * * [simplify]: iters left: 5 (74 enodes) 373.842 * * [simplify]: iters left: 4 (106 enodes) 373.860 * * [simplify]: iters left: 3 (175 enodes) 373.890 * * [simplify]: iters left: 2 (288 enodes) 373.958 * * [simplify]: iters left: 1 (471 enodes) 374.153 * * [simplify]: Extracting #0: cost 1 inf + 0 374.154 * * [simplify]: Extracting #1: cost 9 inf + 0 374.154 * * [simplify]: Extracting #2: cost 90 inf + 2 374.154 * * [simplify]: Extracting #3: cost 159 inf + 85 374.155 * * [simplify]: Extracting #4: cost 141 inf + 2780 374.157 * * [simplify]: Extracting #5: cost 113 inf + 6900 374.159 * * [simplify]: Extracting #6: cost 102 inf + 8621 374.165 * * [simplify]: Extracting #7: cost 36 inf + 27866 374.177 * * [simplify]: Extracting #8: cost 0 inf + 39771 374.188 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 374.188 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))))) 374.189 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1)))) 374.189 * * [simplify]: iters left: 6 (14 enodes) 374.194 * * [simplify]: iters left: 5 (57 enodes) 374.205 * * [simplify]: iters left: 4 (93 enodes) 374.220 * * [simplify]: iters left: 3 (131 enodes) 374.240 * * [simplify]: iters left: 2 (178 enodes) 374.277 * * [simplify]: iters left: 1 (299 enodes) 374.360 * * [simplify]: Extracting #0: cost 1 inf + 0 374.360 * * [simplify]: Extracting #1: cost 0 inf + 1 374.360 * [simplify]: Simplified to 0 374.360 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 374.360 * * * * [progress]: [ 577 / 2246 ] simplifiying candidate # 374.360 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 374.361 * * [simplify]: iters left: 6 (18 enodes) 374.369 * * [simplify]: iters left: 5 (74 enodes) 374.382 * * [simplify]: iters left: 4 (106 enodes) 374.400 * * [simplify]: iters left: 3 (175 enodes) 374.430 * * [simplify]: iters left: 2 (288 enodes) 374.499 * * [simplify]: iters left: 1 (471 enodes) 374.695 * * [simplify]: Extracting #0: cost 1 inf + 0 374.695 * * [simplify]: Extracting #1: cost 9 inf + 0 374.695 * * [simplify]: Extracting #2: cost 90 inf + 2 374.696 * * [simplify]: Extracting #3: cost 159 inf + 85 374.697 * * [simplify]: Extracting #4: cost 141 inf + 2780 374.699 * * [simplify]: Extracting #5: cost 113 inf + 6900 374.700 * * [simplify]: Extracting #6: cost 102 inf + 8621 374.706 * * [simplify]: Extracting #7: cost 36 inf + 27866 374.719 * * [simplify]: Extracting #8: cost 0 inf + 39771 374.729 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 374.730 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))))) 374.730 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1)))) 374.731 * * [simplify]: iters left: 6 (14 enodes) 374.735 * * [simplify]: iters left: 5 (57 enodes) 374.746 * * [simplify]: iters left: 4 (93 enodes) 374.762 * * [simplify]: iters left: 3 (131 enodes) 374.782 * * [simplify]: iters left: 2 (178 enodes) 374.818 * * [simplify]: iters left: 1 (299 enodes) 374.901 * * [simplify]: Extracting #0: cost 1 inf + 0 374.901 * * [simplify]: Extracting #1: cost 0 inf + 1 374.901 * [simplify]: Simplified to 0 374.902 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 374.902 * * * * [progress]: [ 578 / 2246 ] simplifiying candidate # 374.902 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 374.902 * * [simplify]: iters left: 6 (19 enodes) 374.910 * * [simplify]: iters left: 5 (74 enodes) 374.923 * * [simplify]: iters left: 4 (104 enodes) 374.940 * * [simplify]: iters left: 3 (173 enodes) 374.967 * * [simplify]: iters left: 2 (266 enodes) 375.020 * * [simplify]: iters left: 1 (391 enodes) 375.140 * * [simplify]: Extracting #0: cost 1 inf + 0 375.140 * * [simplify]: Extracting #1: cost 9 inf + 0 375.140 * * [simplify]: Extracting #2: cost 74 inf + 2 375.141 * * [simplify]: Extracting #3: cost 120 inf + 85 375.141 * * [simplify]: Extracting #4: cost 108 inf + 2178 375.145 * * [simplify]: Extracting #5: cost 39 inf + 19051 375.155 * * [simplify]: Extracting #6: cost 0 inf + 30581 375.162 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 375.162 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))))) 375.163 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1))) 375.163 * * [simplify]: iters left: 6 (13 enodes) 375.166 * * [simplify]: iters left: 5 (50 enodes) 375.175 * * [simplify]: iters left: 4 (76 enodes) 375.188 * * [simplify]: iters left: 3 (111 enodes) 375.205 * * [simplify]: iters left: 2 (147 enodes) 375.231 * * [simplify]: iters left: 1 (234 enodes) 375.279 * * [simplify]: Extracting #0: cost 1 inf + 0 375.279 * * [simplify]: Extracting #1: cost 0 inf + 1 375.279 * [simplify]: Simplified to 0 375.279 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 375.279 * * * * [progress]: [ 579 / 2246 ] simplifiying candidate # 375.279 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 375.279 * * [simplify]: iters left: 6 (22 enodes) 375.288 * * [simplify]: iters left: 5 (88 enodes) 375.303 * * [simplify]: iters left: 4 (170 enodes) 375.334 * * [simplify]: iters left: 3 (337 enodes) 375.420 * * [simplify]: Extracting #0: cost 1 inf + 0 375.420 * * [simplify]: Extracting #1: cost 11 inf + 0 375.421 * * [simplify]: Extracting #2: cost 116 inf + 0 375.421 * * [simplify]: Extracting #3: cost 178 inf + 328 375.422 * * [simplify]: Extracting #4: cost 158 inf + 2592 375.423 * * [simplify]: Extracting #5: cost 155 inf + 3241 375.425 * * [simplify]: Extracting #6: cost 132 inf + 10936 375.438 * * [simplify]: Extracting #7: cost 21 inf + 55209 375.454 * * [simplify]: Extracting #8: cost 1 inf + 63533 375.470 * * [simplify]: Extracting #9: cost 0 inf + 63951 375.487 * [simplify]: Simplified to (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 375.487 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (fma (- (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 375.487 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 375.488 * * [simplify]: iters left: 6 (16 enodes) 375.492 * * [simplify]: iters left: 5 (65 enodes) 375.505 * * [simplify]: iters left: 4 (125 enodes) 375.528 * * [simplify]: iters left: 3 (242 enodes) 375.589 * * [simplify]: Extracting #0: cost 1 inf + 0 375.589 * * [simplify]: Extracting #1: cost 0 inf + 1 375.589 * [simplify]: Simplified to 0 375.589 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 375.589 * * * * [progress]: [ 580 / 2246 ] simplifiying candidate # 375.589 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 375.590 * * [simplify]: iters left: 6 (21 enodes) 375.596 * * [simplify]: iters left: 5 (83 enodes) 375.610 * * [simplify]: iters left: 4 (146 enodes) 375.638 * * [simplify]: iters left: 3 (252 enodes) 375.690 * * [simplify]: Extracting #0: cost 1 inf + 0 375.690 * * [simplify]: Extracting #1: cost 11 inf + 0 375.690 * * [simplify]: Extracting #2: cost 95 inf + 0 375.691 * * [simplify]: Extracting #3: cost 132 inf + 529 375.692 * * [simplify]: Extracting #4: cost 125 inf + 1293 375.693 * * [simplify]: Extracting #5: cost 114 inf + 2732 375.697 * * [simplify]: Extracting #6: cost 57 inf + 19922 375.706 * * [simplify]: Extracting #7: cost 2 inf + 38933 375.715 * * [simplify]: Extracting #8: cost 0 inf + 39688 375.725 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 375.725 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 375.726 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 375.726 * * [simplify]: iters left: 6 (15 enodes) 375.730 * * [simplify]: iters left: 5 (60 enodes) 375.740 * * [simplify]: iters left: 4 (103 enodes) 375.757 * * [simplify]: iters left: 3 (167 enodes) 375.795 * * [simplify]: iters left: 2 (361 enodes) 375.926 * * [simplify]: Extracting #0: cost 1 inf + 0 375.926 * * [simplify]: Extracting #1: cost 0 inf + 1 375.926 * [simplify]: Simplified to 0 375.926 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 375.926 * * * * [progress]: [ 581 / 2246 ] simplifiying candidate # 375.927 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 375.927 * * [simplify]: iters left: 6 (20 enodes) 375.932 * * [simplify]: iters left: 5 (77 enodes) 375.948 * * [simplify]: iters left: 4 (129 enodes) 375.967 * * [simplify]: iters left: 3 (213 enodes) 375.999 * * [simplify]: iters left: 2 (329 enodes) 376.060 * * [simplify]: iters left: 1 (450 enodes) 376.445 * * [simplify]: Extracting #0: cost 1 inf + 0 376.445 * * [simplify]: Extracting #1: cost 17 inf + 0 376.446 * * [simplify]: Extracting #2: cost 82 inf + 2 376.446 * * [simplify]: Extracting #3: cost 109 inf + 87 376.447 * * [simplify]: Extracting #4: cost 104 inf + 1255 376.448 * * [simplify]: Extracting #5: cost 84 inf + 4554 376.452 * * [simplify]: Extracting #6: cost 22 inf + 22230 376.460 * * [simplify]: Extracting #7: cost 0 inf + 28803 376.468 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 376.468 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))))) 376.468 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1))) 376.468 * * [simplify]: iters left: 6 (14 enodes) 376.475 * * [simplify]: iters left: 5 (53 enodes) 376.485 * * [simplify]: iters left: 4 (92 enodes) 376.498 * * [simplify]: iters left: 3 (137 enodes) 376.519 * * [simplify]: iters left: 2 (188 enodes) 376.549 * * [simplify]: iters left: 1 (283 enodes) 376.596 * * [simplify]: Extracting #0: cost 1 inf + 0 376.596 * * [simplify]: Extracting #1: cost 0 inf + 1 376.596 * [simplify]: Simplified to 0 376.596 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 376.596 * * * * [progress]: [ 582 / 2246 ] simplifiying candidate # 376.596 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 376.596 * * [simplify]: iters left: 6 (19 enodes) 376.603 * * [simplify]: iters left: 5 (77 enodes) 376.618 * * [simplify]: iters left: 4 (116 enodes) 376.637 * * [simplify]: iters left: 3 (201 enodes) 376.672 * * [simplify]: iters left: 2 (348 enodes) 376.750 * * [simplify]: Extracting #0: cost 1 inf + 0 376.750 * * [simplify]: Extracting #1: cost 11 inf + 0 376.750 * * [simplify]: Extracting #2: cost 60 inf + 2 376.751 * * [simplify]: Extracting #3: cost 99 inf + 87 376.751 * * [simplify]: Extracting #4: cost 94 inf + 786 376.752 * * [simplify]: Extracting #5: cost 77 inf + 2852 376.755 * * [simplify]: Extracting #6: cost 22 inf + 18162 376.761 * * [simplify]: Extracting #7: cost 0 inf + 24187 376.767 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 376.767 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))))) 376.767 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1)))) 376.767 * * [simplify]: iters left: 6 (15 enodes) 376.773 * * [simplify]: iters left: 5 (60 enodes) 376.783 * * [simplify]: iters left: 4 (93 enodes) 376.799 * * [simplify]: iters left: 3 (149 enodes) 376.824 * * [simplify]: iters left: 2 (229 enodes) 376.864 * * [simplify]: iters left: 1 (341 enodes) 376.945 * * [simplify]: Extracting #0: cost 1 inf + 0 376.945 * * [simplify]: Extracting #1: cost 0 inf + 1 376.945 * [simplify]: Simplified to 0 376.945 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 376.945 * * * * [progress]: [ 583 / 2246 ] simplifiying candidate # 376.945 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 376.946 * * [simplify]: iters left: 6 (19 enodes) 376.952 * * [simplify]: iters left: 5 (77 enodes) 376.965 * * [simplify]: iters left: 4 (116 enodes) 376.984 * * [simplify]: iters left: 3 (201 enodes) 377.022 * * [simplify]: iters left: 2 (348 enodes) 377.098 * * [simplify]: Extracting #0: cost 1 inf + 0 377.098 * * [simplify]: Extracting #1: cost 11 inf + 0 377.098 * * [simplify]: Extracting #2: cost 60 inf + 2 377.098 * * [simplify]: Extracting #3: cost 99 inf + 87 377.099 * * [simplify]: Extracting #4: cost 94 inf + 786 377.099 * * [simplify]: Extracting #5: cost 77 inf + 2852 377.103 * * [simplify]: Extracting #6: cost 22 inf + 18162 377.108 * * [simplify]: Extracting #7: cost 0 inf + 24187 377.114 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 377.114 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))))) 377.114 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1)))) 377.115 * * [simplify]: iters left: 6 (15 enodes) 377.121 * * [simplify]: iters left: 5 (60 enodes) 377.131 * * [simplify]: iters left: 4 (93 enodes) 377.149 * * [simplify]: iters left: 3 (149 enodes) 377.171 * * [simplify]: iters left: 2 (229 enodes) 377.214 * * [simplify]: iters left: 1 (341 enodes) 377.292 * * [simplify]: Extracting #0: cost 1 inf + 0 377.292 * * [simplify]: Extracting #1: cost 0 inf + 1 377.292 * [simplify]: Simplified to 0 377.293 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 377.293 * * * * [progress]: [ 584 / 2246 ] simplifiying candidate # 377.293 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 377.293 * * [simplify]: iters left: 6 (20 enodes) 377.299 * * [simplify]: iters left: 5 (77 enodes) 377.312 * * [simplify]: iters left: 4 (129 enodes) 377.332 * * [simplify]: iters left: 3 (213 enodes) 377.367 * * [simplify]: iters left: 2 (329 enodes) 377.428 * * [simplify]: iters left: 1 (450 enodes) 377.533 * * [simplify]: Extracting #0: cost 1 inf + 0 377.533 * * [simplify]: Extracting #1: cost 17 inf + 0 377.533 * * [simplify]: Extracting #2: cost 82 inf + 2 377.534 * * [simplify]: Extracting #3: cost 109 inf + 87 377.534 * * [simplify]: Extracting #4: cost 104 inf + 1255 377.535 * * [simplify]: Extracting #5: cost 84 inf + 4554 377.540 * * [simplify]: Extracting #6: cost 22 inf + 22230 377.548 * * [simplify]: Extracting #7: cost 0 inf + 28803 377.556 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 377.556 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))))) 377.557 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1))) 377.557 * * [simplify]: iters left: 6 (14 enodes) 377.560 * * [simplify]: iters left: 5 (53 enodes) 377.570 * * [simplify]: iters left: 4 (92 enodes) 377.583 * * [simplify]: iters left: 3 (137 enodes) 377.606 * * [simplify]: iters left: 2 (188 enodes) 377.634 * * [simplify]: iters left: 1 (283 enodes) 377.683 * * [simplify]: Extracting #0: cost 1 inf + 0 377.683 * * [simplify]: Extracting #1: cost 0 inf + 1 377.683 * [simplify]: Simplified to 0 377.683 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 377.683 * * * * [progress]: [ 585 / 2246 ] simplifiying candidate # 377.684 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))) 377.684 * * [simplify]: iters left: 6 (18 enodes) 377.689 * * [simplify]: iters left: 5 (71 enodes) 377.702 * * [simplify]: iters left: 4 (106 enodes) 377.719 * * [simplify]: iters left: 3 (176 enodes) 377.750 * * [simplify]: iters left: 2 (266 enodes) 377.805 * * [simplify]: iters left: 1 (397 enodes) 377.939 * * [simplify]: Extracting #0: cost 1 inf + 0 377.939 * * [simplify]: Extracting #1: cost 11 inf + 0 377.940 * * [simplify]: Extracting #2: cost 82 inf + 2 377.940 * * [simplify]: Extracting #3: cost 131 inf + 207 377.941 * * [simplify]: Extracting #4: cost 121 inf + 2079 377.942 * * [simplify]: Extracting #5: cost 86 inf + 7326 377.947 * * [simplify]: Extracting #6: cost 28 inf + 24181 377.956 * * [simplify]: Extracting #7: cost 0 inf + 32962 377.965 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 377.965 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1 (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))))) 377.965 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1 (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1)) 377.965 * * [simplify]: iters left: 6 (12 enodes) 377.968 * * [simplify]: iters left: 5 (47 enodes) 377.980 * * [simplify]: iters left: 4 (79 enodes) 377.992 * * [simplify]: iters left: 3 (107 enodes) 378.013 * * [simplify]: iters left: 2 (167 enodes) 378.039 * * [simplify]: iters left: 1 (239 enodes) 378.087 * * [simplify]: Extracting #0: cost 1 inf + 0 378.087 * * [simplify]: Extracting #1: cost 0 inf + 1 378.087 * [simplify]: Simplified to 0 378.087 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 378.087 * * * * [progress]: [ 586 / 2246 ] simplifiying candidate # 378.087 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))) 378.087 * * [simplify]: iters left: 6 (18 enodes) 378.093 * * [simplify]: iters left: 5 (72 enodes) 378.105 * * [simplify]: iters left: 4 (119 enodes) 378.128 * * [simplify]: iters left: 3 (199 enodes) 378.163 * * [simplify]: iters left: 2 (330 enodes) 378.235 * * [simplify]: iters left: 1 (467 enodes) 378.380 * * [simplify]: Extracting #0: cost 1 inf + 0 378.381 * * [simplify]: Extracting #1: cost 19 inf + 0 378.381 * * [simplify]: Extracting #2: cost 73 inf + 2 378.381 * * [simplify]: Extracting #3: cost 105 inf + 86 378.382 * * [simplify]: Extracting #4: cost 100 inf + 1513 378.383 * * [simplify]: Extracting #5: cost 77 inf + 4735 378.387 * * [simplify]: Extracting #6: cost 28 inf + 17158 378.395 * * [simplify]: Extracting #7: cost 1 inf + 25535 378.403 * * [simplify]: Extracting #8: cost 0 inf + 25808 378.414 * [simplify]: Simplified to (* (/ 1 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- 1/2 (/ 1/2 (hypot 1 x)))) 378.414 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ 1 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- 1/2 (/ 1/2 (hypot 1 x)))) (fma (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (hypot 1 x)) (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))))) 378.414 * [simplify]: Simplifying (fma (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (hypot 1 x)) (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x)))) 378.414 * * [simplify]: iters left: 6 (12 enodes) 378.418 * * [simplify]: iters left: 5 (50 enodes) 378.426 * * [simplify]: iters left: 4 (76 enodes) 378.440 * * [simplify]: iters left: 3 (143 enodes) 378.468 * * [simplify]: iters left: 2 (233 enodes) 378.515 * * [simplify]: iters left: 1 (369 enodes) 378.603 * * [simplify]: Extracting #0: cost 1 inf + 0 378.604 * * [simplify]: Extracting #1: cost 0 inf + 1 378.604 * [simplify]: Simplified to 0 378.604 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (* (/ 1 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- 1/2 (/ 1/2 (hypot 1 x)))) 0))) 378.604 * * * * [progress]: [ 587 / 2246 ] simplifiying candidate # 378.604 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 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))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))) 378.604 * * [simplify]: iters left: 6 (26 enodes) 378.613 * * [simplify]: iters left: 5 (108 enodes) 378.636 * * [simplify]: iters left: 4 (258 enodes) 378.701 * * [simplify]: Extracting #0: cost 1 inf + 0 378.701 * * [simplify]: Extracting #1: cost 11 inf + 0 378.701 * * [simplify]: Extracting #2: cost 110 inf + 0 378.702 * * [simplify]: Extracting #3: cost 181 inf + 489 378.704 * * [simplify]: Extracting #4: cost 153 inf + 7786 378.712 * * [simplify]: Extracting #5: cost 32 inf + 41865 378.723 * * [simplify]: Extracting #6: cost 10 inf + 50284 378.737 * * [simplify]: Extracting #7: cost 2 inf + 53520 378.748 * * [simplify]: Extracting #8: cost 0 inf + 54549 378.760 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (cbrt 1/2))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)) (- (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)))) 378.760 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (cbrt 1/2))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)) (- (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)))) (fma (- (+ (* 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 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (* (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))))) 378.761 * [simplify]: Simplifying (fma (- (+ (* 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 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (* (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))))) 378.761 * * [simplify]: iters left: 6 (20 enodes) 378.767 * * [simplify]: iters left: 5 (87 enodes) 378.785 * * [simplify]: iters left: 4 (224 enodes) 378.853 * * [simplify]: Extracting #0: cost 1 inf + 0 378.853 * * [simplify]: Extracting #1: cost 14 inf + 0 378.853 * * [simplify]: Extracting #2: cost 116 inf + 0 378.854 * * [simplify]: Extracting #3: cost 173 inf + 989 378.857 * * [simplify]: Extracting #4: cost 109 inf + 16215 378.866 * * [simplify]: Extracting #5: cost 31 inf + 40092 378.877 * * [simplify]: Extracting #6: cost 1 inf + 50253 378.891 * * [simplify]: Extracting #7: cost 0 inf + 50642 378.903 * [simplify]: Simplified to (- (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 378.903 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 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))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))) (- (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))))) 378.903 * * * * [progress]: [ 588 / 2246 ] simplifiying candidate # 378.903 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 378.904 * * [simplify]: iters left: 6 (21 enodes) 378.911 * * [simplify]: iters left: 5 (81 enodes) 378.924 * * [simplify]: iters left: 4 (150 enodes) 378.951 * * [simplify]: iters left: 3 (315 enodes) 379.023 * * [simplify]: Extracting #0: cost 1 inf + 0 379.024 * * [simplify]: Extracting #1: cost 17 inf + 0 379.024 * * [simplify]: Extracting #2: cost 124 inf + 0 379.024 * * [simplify]: Extracting #3: cost 175 inf + 489 379.025 * * [simplify]: Extracting #4: cost 186 inf + 1593 379.027 * * [simplify]: Extracting #5: cost 146 inf + 7242 379.034 * * [simplify]: Extracting #6: cost 96 inf + 19407 379.043 * * [simplify]: Extracting #7: cost 17 inf + 43421 379.053 * * [simplify]: Extracting #8: cost 0 inf + 48934 379.065 * [simplify]: Simplified to (fma (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1) (/ (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 379.065 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1) (/ (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 379.065 * [simplify]: Simplifying (fma (- (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 379.065 * * [simplify]: iters left: 6 (15 enodes) 379.069 * * [simplify]: iters left: 5 (56 enodes) 379.079 * * [simplify]: iters left: 4 (109 enodes) 379.101 * * [simplify]: iters left: 3 (271 enodes) 379.167 * * [simplify]: Extracting #0: cost 1 inf + 0 379.167 * * [simplify]: Extracting #1: cost 0 inf + 1 379.168 * [simplify]: Simplified to 0 379.168 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 1)) (/ (cbrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 379.168 * * * * [progress]: [ 589 / 2246 ] simplifiying candidate # 379.168 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 379.168 * * [simplify]: iters left: 6 (18 enodes) 379.175 * * [simplify]: iters left: 5 (69 enodes) 379.187 * * [simplify]: iters left: 4 (110 enodes) 379.205 * * [simplify]: iters left: 3 (175 enodes) 379.236 * * [simplify]: iters left: 2 (268 enodes) 379.284 * * [simplify]: iters left: 1 (368 enodes) 379.365 * * [simplify]: Extracting #0: cost 1 inf + 0 379.365 * * [simplify]: Extracting #1: cost 13 inf + 0 379.365 * * [simplify]: Extracting #2: cost 80 inf + 0 379.365 * * [simplify]: Extracting #3: cost 123 inf + 85 379.366 * * [simplify]: Extracting #4: cost 117 inf + 1508 379.367 * * [simplify]: Extracting #5: cost 106 inf + 3691 379.369 * * [simplify]: Extracting #6: cost 78 inf + 11506 379.376 * * [simplify]: Extracting #7: cost 55 inf + 21384 379.386 * * [simplify]: Extracting #8: cost 4 inf + 60161 379.397 * * [simplify]: Extracting #9: cost 0 inf + 63692 379.408 * * [simplify]: Extracting #10: cost 0 inf + 63652 379.420 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 379.420 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 379.420 * [simplify]: Simplifying (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 379.420 * * [simplify]: iters left: 6 (14 enodes) 379.424 * * [simplify]: iters left: 5 (53 enodes) 379.433 * * [simplify]: iters left: 4 (76 enodes) 379.447 * * [simplify]: iters left: 3 (134 enodes) 379.472 * * [simplify]: iters left: 2 (194 enodes) 379.503 * * [simplify]: iters left: 1 (293 enodes) 379.553 * * [simplify]: Extracting #0: cost 1 inf + 0 379.553 * * [simplify]: Extracting #1: cost 0 inf + 1 379.553 * [simplify]: Simplified to 0 379.553 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 379.554 * * * * [progress]: [ 590 / 2246 ] simplifiying candidate # 379.554 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 379.554 * * [simplify]: iters left: 6 (17 enodes) 379.559 * * [simplify]: iters left: 5 (60 enodes) 379.569 * * [simplify]: iters left: 4 (94 enodes) 379.583 * * [simplify]: iters left: 3 (139 enodes) 379.609 * * [simplify]: iters left: 2 (191 enodes) 379.641 * * [simplify]: iters left: 1 (235 enodes) 379.689 * * [simplify]: Extracting #0: cost 1 inf + 0 379.689 * * [simplify]: Extracting #1: cost 11 inf + 0 379.689 * * [simplify]: Extracting #2: cost 41 inf + 0 379.690 * * [simplify]: Extracting #3: cost 55 inf + 206 379.690 * * [simplify]: Extracting #4: cost 46 inf + 1746 379.690 * * [simplify]: Extracting #5: cost 40 inf + 2872 379.693 * * [simplify]: Extracting #6: cost 13 inf + 11004 379.697 * * [simplify]: Extracting #7: cost 2 inf + 14420 379.700 * * [simplify]: Extracting #8: cost 0 inf + 15096 379.704 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 379.704 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 379.705 * [simplify]: Simplifying (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 379.705 * * [simplify]: iters left: 6 (13 enodes) 379.709 * * [simplify]: iters left: 5 (45 enodes) 379.715 * * [simplify]: iters left: 4 (60 enodes) 379.724 * * [simplify]: iters left: 3 (85 enodes) 379.737 * * [simplify]: iters left: 2 (102 enodes) 379.753 * * [simplify]: iters left: 1 (126 enodes) 379.769 * * [simplify]: Extracting #0: cost 1 inf + 0 379.770 * * [simplify]: Extracting #1: cost 0 inf + 1 379.770 * [simplify]: Simplified to 0 379.770 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 379.770 * * * * [progress]: [ 591 / 2246 ] simplifiying candidate # 379.770 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))) 379.770 * * [simplify]: iters left: 6 (21 enodes) 379.775 * * [simplify]: iters left: 5 (83 enodes) 379.790 * * [simplify]: iters left: 4 (176 enodes) 379.829 * * [simplify]: iters left: 3 (353 enodes) 379.905 * * [simplify]: Extracting #0: cost 1 inf + 0 379.905 * * [simplify]: Extracting #1: cost 13 inf + 0 379.906 * * [simplify]: Extracting #2: cost 83 inf + 0 379.906 * * [simplify]: Extracting #3: cost 127 inf + 165 379.907 * * [simplify]: Extracting #4: cost 127 inf + 993 379.907 * * [simplify]: Extracting #5: cost 122 inf + 1195 379.908 * * [simplify]: Extracting #6: cost 113 inf + 2831 379.909 * * [simplify]: Extracting #7: cost 104 inf + 4473 379.914 * * [simplify]: Extracting #8: cost 51 inf + 25631 379.925 * * [simplify]: Extracting #9: cost 3 inf + 46866 379.938 * * [simplify]: Extracting #10: cost 0 inf + 48320 379.951 * [simplify]: Simplified to (- (* (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt 1/2)) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 379.951 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt 1/2)) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))))) 379.951 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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)))))))) 379.951 * * [simplify]: iters left: 6 (17 enodes) 379.958 * * [simplify]: iters left: 5 (69 enodes) 379.970 * * [simplify]: iters left: 4 (135 enodes) 379.999 * * [simplify]: iters left: 3 (301 enodes) 380.065 * * [simplify]: Extracting #0: cost 1 inf + 0 380.065 * * [simplify]: Extracting #1: cost 0 inf + 1 380.065 * [simplify]: Simplified to 0 380.065 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))) 0))) 380.066 * * * * [progress]: [ 592 / 2246 ] simplifiying candidate # 380.066 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 380.066 * * [simplify]: iters left: 6 (20 enodes) 380.071 * * [simplify]: iters left: 5 (77 enodes) 380.084 * * [simplify]: iters left: 4 (139 enodes) 380.110 * * [simplify]: iters left: 3 (233 enodes) 380.150 * * [simplify]: iters left: 2 (344 enodes) 380.221 * * [simplify]: Extracting #0: cost 1 inf + 0 380.221 * * [simplify]: Extracting #1: cost 13 inf + 0 380.222 * * [simplify]: Extracting #2: cost 69 inf + 0 380.222 * * [simplify]: Extracting #3: cost 112 inf + 205 380.222 * * [simplify]: Extracting #4: cost 109 inf + 856 380.223 * * [simplify]: Extracting #5: cost 105 inf + 1093 380.224 * * [simplify]: Extracting #6: cost 101 inf + 1605 380.227 * * [simplify]: Extracting #7: cost 40 inf + 21191 380.235 * * [simplify]: Extracting #8: cost 2 inf + 35237 380.244 * * [simplify]: Extracting #9: cost 0 inf + 36111 380.253 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 380.253 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 380.253 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 380.253 * * [simplify]: iters left: 6 (16 enodes) 380.257 * * [simplify]: iters left: 5 (63 enodes) 380.268 * * [simplify]: iters left: 4 (100 enodes) 380.285 * * [simplify]: iters left: 3 (175 enodes) 380.318 * * [simplify]: iters left: 2 (267 enodes) 380.365 * * [simplify]: iters left: 1 (373 enodes) 380.432 * * [simplify]: Extracting #0: cost 1 inf + 0 380.433 * * [simplify]: Extracting #1: cost 0 inf + 1 380.433 * [simplify]: Simplified to 0 380.433 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 380.433 * * * * [progress]: [ 593 / 2246 ] simplifiying candidate # 380.433 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 380.433 * * [simplify]: iters left: 6 (19 enodes) 380.438 * * [simplify]: iters left: 5 (72 enodes) 380.450 * * [simplify]: iters left: 4 (139 enodes) 380.477 * * [simplify]: iters left: 3 (254 enodes) 380.539 * * [simplify]: iters left: 2 (444 enodes) 380.659 * * [simplify]: Extracting #0: cost 1 inf + 0 380.659 * * [simplify]: Extracting #1: cost 15 inf + 0 380.660 * * [simplify]: Extracting #2: cost 69 inf + 0 380.660 * * [simplify]: Extracting #3: cost 124 inf + 84 380.661 * * [simplify]: Extracting #4: cost 119 inf + 752 380.661 * * [simplify]: Extracting #5: cost 110 inf + 1802 380.665 * * [simplify]: Extracting #6: cost 50 inf + 22751 380.676 * * [simplify]: Extracting #7: cost 2 inf + 42946 380.685 * * [simplify]: Extracting #8: cost 0 inf + 43884 380.694 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 380.694 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))))) 380.694 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1))) 380.694 * * [simplify]: iters left: 6 (15 enodes) 380.698 * * [simplify]: iters left: 5 (58 enodes) 380.708 * * [simplify]: iters left: 4 (100 enodes) 380.728 * * [simplify]: iters left: 3 (192 enodes) 380.774 * * [simplify]: iters left: 2 (333 enodes) 380.857 * * [simplify]: Extracting #0: cost 1 inf + 0 380.857 * * [simplify]: Extracting #1: cost 0 inf + 1 380.857 * [simplify]: Simplified to 0 380.857 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 0))) 380.857 * * * * [progress]: [ 594 / 2246 ] simplifiying candidate # 380.857 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 380.857 * * [simplify]: iters left: 6 (21 enodes) 380.863 * * [simplify]: iters left: 5 (81 enodes) 380.879 * * [simplify]: iters left: 4 (133 enodes) 380.901 * * [simplify]: iters left: 3 (236 enodes) 380.952 * * [simplify]: iters left: 2 (384 enodes) 381.037 * * [simplify]: Extracting #0: cost 1 inf + 0 381.037 * * [simplify]: Extracting #1: cost 13 inf + 0 381.038 * * [simplify]: Extracting #2: cost 57 inf + 0 381.038 * * [simplify]: Extracting #3: cost 90 inf + 205 381.039 * * [simplify]: Extracting #4: cost 87 inf + 856 381.039 * * [simplify]: Extracting #5: cost 83 inf + 1093 381.040 * * [simplify]: Extracting #6: cost 78 inf + 1702 381.042 * * [simplify]: Extracting #7: cost 34 inf + 15260 381.048 * * [simplify]: Extracting #8: cost 2 inf + 26278 381.054 * * [simplify]: Extracting #9: cost 0 inf + 27034 381.063 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 381.063 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))))) 381.063 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)))) 381.063 * * [simplify]: iters left: 6 (16 enodes) 381.069 * * [simplify]: iters left: 5 (63 enodes) 381.079 * * [simplify]: iters left: 4 (94 enodes) 381.096 * * [simplify]: iters left: 3 (179 enodes) 381.136 * * [simplify]: iters left: 2 (303 enodes) 381.203 * * [simplify]: iters left: 1 (423 enodes) 381.309 * * [simplify]: Extracting #0: cost 1 inf + 0 381.310 * * [simplify]: Extracting #1: cost 0 inf + 1 381.310 * [simplify]: Simplified to 0 381.310 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 381.310 * * * * [progress]: [ 595 / 2246 ] simplifiying candidate # 381.310 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 381.310 * * [simplify]: iters left: 6 (21 enodes) 381.316 * * [simplify]: iters left: 5 (81 enodes) 381.330 * * [simplify]: iters left: 4 (133 enodes) 381.352 * * [simplify]: iters left: 3 (236 enodes) 381.403 * * [simplify]: iters left: 2 (384 enodes) 381.488 * * [simplify]: Extracting #0: cost 1 inf + 0 381.489 * * [simplify]: Extracting #1: cost 13 inf + 0 381.489 * * [simplify]: Extracting #2: cost 57 inf + 0 381.489 * * [simplify]: Extracting #3: cost 90 inf + 205 381.489 * * [simplify]: Extracting #4: cost 87 inf + 856 381.490 * * [simplify]: Extracting #5: cost 83 inf + 1093 381.491 * * [simplify]: Extracting #6: cost 78 inf + 1702 381.493 * * [simplify]: Extracting #7: cost 34 inf + 15260 381.501 * * [simplify]: Extracting #8: cost 2 inf + 26278 381.508 * * [simplify]: Extracting #9: cost 0 inf + 27034 381.514 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 381.514 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))))) 381.514 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)))) 381.514 * * [simplify]: iters left: 6 (16 enodes) 381.520 * * [simplify]: iters left: 5 (63 enodes) 381.530 * * [simplify]: iters left: 4 (94 enodes) 381.547 * * [simplify]: iters left: 3 (179 enodes) 381.587 * * [simplify]: iters left: 2 (303 enodes) 381.655 * * [simplify]: iters left: 1 (423 enodes) 381.762 * * [simplify]: Extracting #0: cost 1 inf + 0 381.762 * * [simplify]: Extracting #1: cost 0 inf + 1 381.762 * [simplify]: Simplified to 0 381.762 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 381.763 * * * * [progress]: [ 596 / 2246 ] simplifiying candidate # 381.763 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 381.763 * * [simplify]: iters left: 6 (19 enodes) 381.768 * * [simplify]: iters left: 5 (72 enodes) 381.781 * * [simplify]: iters left: 4 (139 enodes) 381.807 * * [simplify]: iters left: 3 (254 enodes) 381.868 * * [simplify]: iters left: 2 (444 enodes) 381.988 * * [simplify]: Extracting #0: cost 1 inf + 0 381.988 * * [simplify]: Extracting #1: cost 15 inf + 0 381.988 * * [simplify]: Extracting #2: cost 69 inf + 0 381.988 * * [simplify]: Extracting #3: cost 124 inf + 84 381.989 * * [simplify]: Extracting #4: cost 119 inf + 752 381.989 * * [simplify]: Extracting #5: cost 110 inf + 1802 381.993 * * [simplify]: Extracting #6: cost 50 inf + 22751 382.003 * * [simplify]: Extracting #7: cost 2 inf + 42946 382.012 * * [simplify]: Extracting #8: cost 0 inf + 43884 382.022 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 382.022 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))))) 382.022 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1))) 382.022 * * [simplify]: iters left: 6 (15 enodes) 382.026 * * [simplify]: iters left: 5 (58 enodes) 382.036 * * [simplify]: iters left: 4 (100 enodes) 382.055 * * [simplify]: iters left: 3 (192 enodes) 382.101 * * [simplify]: iters left: 2 (333 enodes) 382.182 * * [simplify]: Extracting #0: cost 1 inf + 0 382.182 * * [simplify]: Extracting #1: cost 0 inf + 1 382.182 * [simplify]: Simplified to 0 382.183 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 0))) 382.183 * * * * [progress]: [ 597 / 2246 ] simplifiying candidate # 382.183 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 382.183 * * [simplify]: iters left: 6 (20 enodes) 382.188 * * [simplify]: iters left: 5 (76 enodes) 382.203 * * [simplify]: iters left: 4 (137 enodes) 382.225 * * [simplify]: iters left: 3 (214 enodes) 382.260 * * [simplify]: iters left: 2 (309 enodes) 382.313 * * [simplify]: iters left: 1 (387 enodes) 382.379 * * [simplify]: Extracting #0: cost 1 inf + 0 382.379 * * [simplify]: Extracting #1: cost 13 inf + 0 382.379 * * [simplify]: Extracting #2: cost 60 inf + 0 382.379 * * [simplify]: Extracting #3: cost 89 inf + 84 382.380 * * [simplify]: Extracting #4: cost 91 inf + 530 382.380 * * [simplify]: Extracting #5: cost 83 inf + 1449 382.383 * * [simplify]: Extracting #6: cost 35 inf + 16005 382.391 * * [simplify]: Extracting #7: cost 2 inf + 27879 382.399 * * [simplify]: Extracting #8: cost 0 inf + 28713 382.407 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 382.407 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 382.407 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 382.408 * * [simplify]: iters left: 6 (16 enodes) 382.412 * * [simplify]: iters left: 5 (62 enodes) 382.422 * * [simplify]: iters left: 4 (99 enodes) 382.437 * * [simplify]: iters left: 3 (150 enodes) 382.461 * * [simplify]: iters left: 2 (222 enodes) 382.497 * * [simplify]: iters left: 1 (302 enodes) 382.544 * * [simplify]: Extracting #0: cost 1 inf + 0 382.544 * * [simplify]: Extracting #1: cost 0 inf + 1 382.544 * [simplify]: Simplified to 0 382.544 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 382.544 * * * * [progress]: [ 598 / 2246 ] simplifiying candidate # 382.544 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 382.544 * * [simplify]: iters left: 6 (18 enodes) 382.549 * * [simplify]: iters left: 5 (67 enodes) 382.560 * * [simplify]: iters left: 4 (108 enodes) 382.577 * * [simplify]: iters left: 3 (162 enodes) 382.605 * * [simplify]: iters left: 2 (233 enodes) 382.643 * * [simplify]: iters left: 1 (283 enodes) 382.699 * * [simplify]: Extracting #0: cost 1 inf + 0 382.699 * * [simplify]: Extracting #1: cost 11 inf + 0 382.699 * * [simplify]: Extracting #2: cost 50 inf + 0 382.699 * * [simplify]: Extracting #3: cost 76 inf + 84 382.699 * * [simplify]: Extracting #4: cost 77 inf + 732 382.700 * * [simplify]: Extracting #5: cost 68 inf + 1740 382.702 * * [simplify]: Extracting #6: cost 29 inf + 13243 382.707 * * [simplify]: Extracting #7: cost 1 inf + 21787 382.713 * * [simplify]: Extracting #8: cost 0 inf + 22125 382.718 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 382.718 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 382.718 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 382.719 * * [simplify]: iters left: 6 (14 enodes) 382.722 * * [simplify]: iters left: 5 (54 enodes) 382.731 * * [simplify]: iters left: 4 (77 enodes) 382.745 * * [simplify]: iters left: 3 (106 enodes) 382.760 * * [simplify]: iters left: 2 (137 enodes) 382.778 * * [simplify]: iters left: 1 (167 enodes) 382.800 * * [simplify]: Extracting #0: cost 1 inf + 0 382.800 * * [simplify]: Extracting #1: cost 0 inf + 1 382.800 * [simplify]: Simplified to 0 382.801 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 382.801 * * * * [progress]: [ 599 / 2246 ] simplifiying candidate # 382.801 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 382.801 * * [simplify]: iters left: 6 (18 enodes) 382.807 * * [simplify]: iters left: 5 (67 enodes) 382.818 * * [simplify]: iters left: 4 (112 enodes) 382.836 * * [simplify]: iters left: 3 (184 enodes) 382.867 * * [simplify]: iters left: 2 (261 enodes) 382.916 * * [simplify]: iters left: 1 (332 enodes) 382.976 * * [simplify]: Extracting #0: cost 1 inf + 0 382.976 * * [simplify]: Extracting #1: cost 13 inf + 0 382.977 * * [simplify]: Extracting #2: cost 46 inf + 0 382.977 * * [simplify]: Extracting #3: cost 62 inf + 84 382.977 * * [simplify]: Extracting #4: cost 61 inf + 847 382.978 * * [simplify]: Extracting #5: cost 49 inf + 2648 382.981 * * [simplify]: Extracting #6: cost 12 inf + 13228 382.985 * * [simplify]: Extracting #7: cost 0 inf + 16594 382.989 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 382.989 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))))) 382.990 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1))) 382.990 * * [simplify]: iters left: 6 (14 enodes) 382.994 * * [simplify]: iters left: 5 (53 enodes) 383.004 * * [simplify]: iters left: 4 (78 enodes) 383.017 * * [simplify]: iters left: 3 (126 enodes) 383.036 * * [simplify]: iters left: 2 (171 enodes) 383.066 * * [simplify]: iters left: 1 (225 enodes) 383.096 * * [simplify]: Extracting #0: cost 1 inf + 0 383.096 * * [simplify]: Extracting #1: cost 0 inf + 1 383.096 * [simplify]: Simplified to 0 383.097 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 383.097 * * * * [progress]: [ 600 / 2246 ] simplifiying candidate # 383.097 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 383.097 * * [simplify]: iters left: 6 (20 enodes) 383.103 * * [simplify]: iters left: 5 (76 enodes) 383.115 * * [simplify]: iters left: 4 (118 enodes) 383.133 * * [simplify]: iters left: 3 (172 enodes) 383.161 * * [simplify]: iters left: 2 (245 enodes) 383.202 * * [simplify]: iters left: 1 (299 enodes) 383.262 * * [simplify]: Extracting #0: cost 1 inf + 0 383.263 * * [simplify]: Extracting #1: cost 13 inf + 0 383.264 * * [simplify]: Extracting #2: cost 56 inf + 0 383.264 * * [simplify]: Extracting #3: cost 71 inf + 206 383.264 * * [simplify]: Extracting #4: cost 69 inf + 976 383.265 * * [simplify]: Extracting #5: cost 59 inf + 2693 383.269 * * [simplify]: Extracting #6: cost 18 inf + 13940 383.273 * * [simplify]: Extracting #7: cost 1 inf + 19662 383.278 * * [simplify]: Extracting #8: cost 0 inf + 19395 383.283 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 383.283 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))))) 383.284 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)))) 383.284 * * [simplify]: iters left: 6 (15 enodes) 383.288 * * [simplify]: iters left: 5 (58 enodes) 383.297 * * [simplify]: iters left: 4 (84 enodes) 383.311 * * [simplify]: iters left: 3 (133 enodes) 383.330 * * [simplify]: iters left: 2 (175 enodes) 383.355 * * [simplify]: iters left: 1 (209 enodes) 383.383 * * [simplify]: Extracting #0: cost 1 inf + 0 383.383 * * [simplify]: Extracting #1: cost 0 inf + 1 383.383 * [simplify]: Simplified to 0 383.383 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 383.383 * * * * [progress]: [ 601 / 2246 ] simplifiying candidate # 383.383 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 383.383 * * [simplify]: iters left: 6 (20 enodes) 383.389 * * [simplify]: iters left: 5 (76 enodes) 383.401 * * [simplify]: iters left: 4 (118 enodes) 383.421 * * [simplify]: iters left: 3 (172 enodes) 383.447 * * [simplify]: iters left: 2 (245 enodes) 383.491 * * [simplify]: iters left: 1 (299 enodes) 383.551 * * [simplify]: Extracting #0: cost 1 inf + 0 383.551 * * [simplify]: Extracting #1: cost 13 inf + 0 383.551 * * [simplify]: Extracting #2: cost 56 inf + 0 383.552 * * [simplify]: Extracting #3: cost 71 inf + 206 383.552 * * [simplify]: Extracting #4: cost 69 inf + 976 383.553 * * [simplify]: Extracting #5: cost 59 inf + 2693 383.555 * * [simplify]: Extracting #6: cost 18 inf + 13940 383.560 * * [simplify]: Extracting #7: cost 1 inf + 19662 383.565 * * [simplify]: Extracting #8: cost 0 inf + 19395 383.569 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 383.570 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))))) 383.570 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)))) 383.570 * * [simplify]: iters left: 6 (15 enodes) 383.574 * * [simplify]: iters left: 5 (58 enodes) 383.583 * * [simplify]: iters left: 4 (84 enodes) 383.597 * * [simplify]: iters left: 3 (133 enodes) 383.619 * * [simplify]: iters left: 2 (175 enodes) 383.642 * * [simplify]: iters left: 1 (209 enodes) 383.670 * * [simplify]: Extracting #0: cost 1 inf + 0 383.670 * * [simplify]: Extracting #1: cost 0 inf + 1 383.670 * [simplify]: Simplified to 0 383.670 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 383.670 * * * * [progress]: [ 602 / 2246 ] simplifiying candidate # 383.671 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 383.671 * * [simplify]: iters left: 6 (18 enodes) 383.675 * * [simplify]: iters left: 5 (67 enodes) 383.689 * * [simplify]: iters left: 4 (112 enodes) 383.707 * * [simplify]: iters left: 3 (184 enodes) 383.738 * * [simplify]: iters left: 2 (261 enodes) 383.788 * * [simplify]: iters left: 1 (332 enodes) 383.848 * * [simplify]: Extracting #0: cost 1 inf + 0 383.848 * * [simplify]: Extracting #1: cost 13 inf + 0 383.848 * * [simplify]: Extracting #2: cost 46 inf + 0 383.848 * * [simplify]: Extracting #3: cost 62 inf + 84 383.848 * * [simplify]: Extracting #4: cost 61 inf + 847 383.849 * * [simplify]: Extracting #5: cost 49 inf + 2648 383.852 * * [simplify]: Extracting #6: cost 12 inf + 13228 383.857 * * [simplify]: Extracting #7: cost 0 inf + 16594 383.861 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 383.861 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))))) 383.861 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1))) 383.862 * * [simplify]: iters left: 6 (14 enodes) 383.865 * * [simplify]: iters left: 5 (53 enodes) 383.875 * * [simplify]: iters left: 4 (78 enodes) 383.888 * * [simplify]: iters left: 3 (126 enodes) 383.908 * * [simplify]: iters left: 2 (171 enodes) 383.937 * * [simplify]: iters left: 1 (225 enodes) 383.967 * * [simplify]: Extracting #0: cost 1 inf + 0 383.967 * * [simplify]: Extracting #1: cost 0 inf + 1 383.967 * [simplify]: Simplified to 0 383.967 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 383.967 * * * * [progress]: [ 603 / 2246 ] simplifiying candidate # 383.967 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 383.967 * * [simplify]: iters left: 6 (23 enodes) 383.973 * * [simplify]: iters left: 5 (95 enodes) 383.990 * * [simplify]: iters left: 4 (247 enodes) 384.064 * * [simplify]: Extracting #0: cost 1 inf + 0 384.064 * * [simplify]: Extracting #1: cost 13 inf + 0 384.064 * * [simplify]: Extracting #2: cost 158 inf + 0 384.065 * * [simplify]: Extracting #3: cost 264 inf + 1053 384.066 * * [simplify]: Extracting #4: cost 263 inf + 2101 384.070 * * [simplify]: Extracting #5: cost 255 inf + 4301 384.074 * * [simplify]: Extracting #6: cost 187 inf + 31980 384.093 * * [simplify]: Extracting #7: cost 44 inf + 112234 384.120 * * [simplify]: Extracting #8: cost 0 inf + 138866 384.146 * * [simplify]: Extracting #9: cost 0 inf + 138826 384.173 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 384.173 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 384.174 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 384.174 * * [simplify]: iters left: 6 (21 enodes) 384.180 * * [simplify]: iters left: 5 (87 enodes) 384.195 * * [simplify]: iters left: 4 (200 enodes) 384.257 * * [simplify]: Extracting #0: cost 1 inf + 0 384.257 * * [simplify]: Extracting #1: cost 25 inf + 0 384.257 * * [simplify]: Extracting #2: cost 150 inf + 0 384.258 * * [simplify]: Extracting #3: cost 243 inf + 1 384.259 * * [simplify]: Extracting #4: cost 245 inf + 365 384.260 * * [simplify]: Extracting #5: cost 226 inf + 4202 384.262 * * [simplify]: Extracting #6: cost 200 inf + 13225 384.266 * * [simplify]: Extracting #7: cost 154 inf + 36777 384.286 * * [simplify]: Extracting #8: cost 20 inf + 116269 384.312 * * [simplify]: Extracting #9: cost 0 inf + 128603 384.336 * [simplify]: Simplified to (- (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 384.336 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) (- (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 384.337 * * * * [progress]: [ 604 / 2246 ] simplifiying candidate # 384.337 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 384.337 * * [simplify]: iters left: 6 (22 enodes) 384.343 * * [simplify]: iters left: 5 (90 enodes) 384.359 * * [simplify]: iters left: 4 (212 enodes) 384.413 * * [simplify]: Extracting #0: cost 1 inf + 0 384.413 * * [simplify]: Extracting #1: cost 13 inf + 0 384.413 * * [simplify]: Extracting #2: cost 120 inf + 0 384.414 * * [simplify]: Extracting #3: cost 192 inf + 407 384.415 * * [simplify]: Extracting #4: cost 188 inf + 1739 384.416 * * [simplify]: Extracting #5: cost 174 inf + 5171 384.420 * * [simplify]: Extracting #6: cost 123 inf + 24266 384.432 * * [simplify]: Extracting #7: cost 30 inf + 72020 384.448 * * [simplify]: Extracting #8: cost 0 inf + 88200 384.467 * * [simplify]: Extracting #9: cost 0 inf + 88120 384.483 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 384.484 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 384.484 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 384.484 * * [simplify]: iters left: 6 (20 enodes) 384.489 * * [simplify]: iters left: 5 (82 enodes) 384.503 * * [simplify]: iters left: 4 (166 enodes) 384.547 * * [simplify]: Extracting #0: cost 1 inf + 0 384.547 * * [simplify]: Extracting #1: cost 22 inf + 0 384.547 * * [simplify]: Extracting #2: cost 106 inf + 0 384.548 * * [simplify]: Extracting #3: cost 175 inf + 0 384.548 * * [simplify]: Extracting #4: cost 174 inf + 286 384.549 * * [simplify]: Extracting #5: cost 165 inf + 2060 384.550 * * [simplify]: Extracting #6: cost 133 inf + 12055 384.552 * * [simplify]: Extracting #7: cost 124 inf + 14115 384.558 * * [simplify]: Extracting #8: cost 61 inf + 47169 384.572 * * [simplify]: Extracting #9: cost 3 inf + 80053 384.586 * * [simplify]: Extracting #10: cost 0 inf + 81907 384.601 * [simplify]: Simplified to (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 384.601 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))))))) 384.602 * * * * [progress]: [ 605 / 2246 ] simplifiying candidate # 384.602 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 384.602 * * [simplify]: iters left: 6 (21 enodes) 384.608 * * [simplify]: iters left: 5 (84 enodes) 384.626 * * [simplify]: iters left: 4 (200 enodes) 384.675 * * [simplify]: Extracting #0: cost 1 inf + 0 384.675 * * [simplify]: Extracting #1: cost 15 inf + 0 384.676 * * [simplify]: Extracting #2: cost 104 inf + 0 384.676 * * [simplify]: Extracting #3: cost 150 inf + 729 384.677 * * [simplify]: Extracting #4: cost 146 inf + 2030 384.677 * * [simplify]: Extracting #5: cost 144 inf + 2211 384.681 * * [simplify]: Extracting #6: cost 109 inf + 12727 384.689 * * [simplify]: Extracting #7: cost 17 inf + 51731 384.699 * * [simplify]: Extracting #8: cost 0 inf + 60317 384.710 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 384.710 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 384.710 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 384.711 * * [simplify]: iters left: 6 (19 enodes) 384.716 * * [simplify]: iters left: 5 (76 enodes) 384.730 * * [simplify]: iters left: 4 (173 enodes) 384.779 * * [simplify]: Extracting #0: cost 1 inf + 0 384.779 * * [simplify]: Extracting #1: cost 14 inf + 0 384.779 * * [simplify]: Extracting #2: cost 90 inf + 0 384.780 * * [simplify]: Extracting #3: cost 150 inf + 1 384.780 * * [simplify]: Extracting #4: cost 151 inf + 286 384.781 * * [simplify]: Extracting #5: cost 139 inf + 2371 384.782 * * [simplify]: Extracting #6: cost 93 inf + 16977 384.790 * * [simplify]: Extracting #7: cost 13 inf + 53665 384.801 * * [simplify]: Extracting #8: cost 0 inf + 59778 384.811 * [simplify]: Simplified to (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 384.811 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 384.812 * * * * [progress]: [ 606 / 2246 ] simplifiying candidate # 384.812 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 384.812 * * [simplify]: iters left: 6 (23 enodes) 384.818 * * [simplify]: iters left: 5 (94 enodes) 384.837 * * [simplify]: iters left: 4 (178 enodes) 384.875 * * [simplify]: iters left: 3 (435 enodes) 385.077 * * [simplify]: Extracting #0: cost 1 inf + 0 385.077 * * [simplify]: Extracting #1: cost 25 inf + 0 385.077 * * [simplify]: Extracting #2: cost 206 inf + 0 385.078 * * [simplify]: Extracting #3: cost 339 inf + 1900 385.080 * * [simplify]: Extracting #4: cost 323 inf + 5467 385.083 * * [simplify]: Extracting #5: cost 295 inf + 13439 385.089 * * [simplify]: Extracting #6: cost 215 inf + 40344 385.098 * * [simplify]: Extracting #7: cost 161 inf + 62006 385.126 * * [simplify]: Extracting #8: cost 27 inf + 129403 385.155 * * [simplify]: Extracting #9: cost 0 inf + 142769 385.185 * [simplify]: Simplified to (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt (hypot 1 x)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 385.185 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt (hypot 1 x)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 385.185 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 385.185 * * [simplify]: iters left: 6 (20 enodes) 385.191 * * [simplify]: iters left: 5 (82 enodes) 385.206 * * [simplify]: iters left: 4 (138 enodes) 385.238 * * [simplify]: iters left: 3 (402 enodes) 385.421 * * [simplify]: Extracting #0: cost 1 inf + 0 385.421 * * [simplify]: Extracting #1: cost 0 inf + 1 385.421 * [simplify]: Simplified to 0 385.421 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 0))) 385.421 * * * * [progress]: [ 607 / 2246 ] simplifiying candidate # 385.422 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 385.422 * * [simplify]: iters left: 6 (23 enodes) 385.432 * * [simplify]: iters left: 5 (94 enodes) 385.447 * * [simplify]: iters left: 4 (178 enodes) 385.485 * * [simplify]: iters left: 3 (435 enodes) 385.685 * * [simplify]: Extracting #0: cost 1 inf + 0 385.685 * * [simplify]: Extracting #1: cost 25 inf + 0 385.686 * * [simplify]: Extracting #2: cost 206 inf + 0 385.687 * * [simplify]: Extracting #3: cost 339 inf + 1900 385.689 * * [simplify]: Extracting #4: cost 323 inf + 5467 385.691 * * [simplify]: Extracting #5: cost 295 inf + 13439 385.697 * * [simplify]: Extracting #6: cost 215 inf + 40344 385.707 * * [simplify]: Extracting #7: cost 161 inf + 62006 385.734 * * [simplify]: Extracting #8: cost 27 inf + 129403 385.763 * * [simplify]: Extracting #9: cost 0 inf + 142769 385.792 * [simplify]: Simplified to (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt (hypot 1 x)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 385.793 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt (hypot 1 x)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 385.793 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 385.793 * * [simplify]: iters left: 6 (20 enodes) 385.799 * * [simplify]: iters left: 5 (82 enodes) 385.813 * * [simplify]: iters left: 4 (138 enodes) 385.846 * * [simplify]: iters left: 3 (402 enodes) 386.031 * * [simplify]: Extracting #0: cost 1 inf + 0 386.031 * * [simplify]: Extracting #1: cost 0 inf + 1 386.031 * [simplify]: Simplified to 0 386.031 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 0))) 386.031 * * * * [progress]: [ 608 / 2246 ] simplifiying candidate # 386.032 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 386.032 * * [simplify]: iters left: 6 (21 enodes) 386.037 * * [simplify]: iters left: 5 (84 enodes) 386.053 * * [simplify]: iters left: 4 (200 enodes) 386.104 * * [simplify]: Extracting #0: cost 1 inf + 0 386.104 * * [simplify]: Extracting #1: cost 15 inf + 0 386.105 * * [simplify]: Extracting #2: cost 104 inf + 0 386.105 * * [simplify]: Extracting #3: cost 150 inf + 729 386.106 * * [simplify]: Extracting #4: cost 146 inf + 2030 386.106 * * [simplify]: Extracting #5: cost 144 inf + 2211 386.108 * * [simplify]: Extracting #6: cost 109 inf + 12727 386.115 * * [simplify]: Extracting #7: cost 17 inf + 51731 386.126 * * [simplify]: Extracting #8: cost 0 inf + 60317 386.137 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 386.137 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 386.137 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 386.137 * * [simplify]: iters left: 6 (19 enodes) 386.142 * * [simplify]: iters left: 5 (76 enodes) 386.156 * * [simplify]: iters left: 4 (173 enodes) 386.204 * * [simplify]: Extracting #0: cost 1 inf + 0 386.204 * * [simplify]: Extracting #1: cost 14 inf + 0 386.205 * * [simplify]: Extracting #2: cost 90 inf + 0 386.205 * * [simplify]: Extracting #3: cost 150 inf + 1 386.205 * * [simplify]: Extracting #4: cost 151 inf + 286 386.206 * * [simplify]: Extracting #5: cost 139 inf + 2371 386.208 * * [simplify]: Extracting #6: cost 93 inf + 16977 386.215 * * [simplify]: Extracting #7: cost 13 inf + 53665 386.226 * * [simplify]: Extracting #8: cost 0 inf + 59778 386.239 * [simplify]: Simplified to (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 386.239 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 386.239 * * * * [progress]: [ 609 / 2246 ] simplifiying candidate # 386.239 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 386.240 * * [simplify]: iters left: 6 (22 enodes) 386.245 * * [simplify]: iters left: 5 (89 enodes) 386.261 * * [simplify]: iters left: 4 (214 enodes) 386.318 * * [simplify]: Extracting #0: cost 1 inf + 0 386.318 * * [simplify]: Extracting #1: cost 13 inf + 0 386.319 * * [simplify]: Extracting #2: cost 118 inf + 0 386.319 * * [simplify]: Extracting #3: cost 197 inf + 730 386.320 * * [simplify]: Extracting #4: cost 193 inf + 1979 386.321 * * [simplify]: Extracting #5: cost 181 inf + 4553 386.323 * * [simplify]: Extracting #6: cost 163 inf + 9535 386.326 * * [simplify]: Extracting #7: cost 136 inf + 20821 386.341 * * [simplify]: Extracting #8: cost 24 inf + 82317 386.360 * * [simplify]: Extracting #9: cost 0 inf + 95189 386.380 * * [simplify]: Extracting #10: cost 0 inf + 94949 386.401 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (/ (cbrt 1/2) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (sqrt (hypot 1 x)) (cbrt 1/2)))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (sqrt (hypot 1 x)) (cbrt 1/2)))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 386.401 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (/ (cbrt 1/2) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (sqrt (hypot 1 x)) (cbrt 1/2)))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (sqrt (hypot 1 x)) (cbrt 1/2)))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 386.402 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 386.402 * * [simplify]: iters left: 6 (20 enodes) 386.407 * * [simplify]: iters left: 5 (81 enodes) 386.421 * * [simplify]: iters left: 4 (169 enodes) 386.465 * * [simplify]: Extracting #0: cost 1 inf + 0 386.465 * * [simplify]: Extracting #1: cost 22 inf + 0 386.465 * * [simplify]: Extracting #2: cost 104 inf + 0 386.465 * * [simplify]: Extracting #3: cost 169 inf + 0 386.466 * * [simplify]: Extracting #4: cost 160 inf + 1174 386.467 * * [simplify]: Extracting #5: cost 140 inf + 5986 386.468 * * [simplify]: Extracting #6: cost 136 inf + 7316 386.469 * * [simplify]: Extracting #7: cost 132 inf + 7868 386.474 * * [simplify]: Extracting #8: cost 72 inf + 39468 386.489 * * [simplify]: Extracting #9: cost 3 inf + 80030 386.505 * * [simplify]: Extracting #10: cost 0 inf + 81164 386.520 * * [simplify]: Extracting #11: cost 0 inf + 80644 386.536 * * [simplify]: Extracting #12: cost 0 inf + 80484 386.553 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) 386.553 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))))))) 386.554 * * * * [progress]: [ 610 / 2246 ] simplifiying candidate # 386.554 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 386.554 * * [simplify]: iters left: 6 (21 enodes) 386.560 * * [simplify]: iters left: 5 (83 enodes) 386.574 * * [simplify]: iters left: 4 (182 enodes) 386.616 * * [simplify]: iters left: 3 (498 enodes) 386.862 * * [simplify]: Extracting #0: cost 1 inf + 0 386.862 * * [simplify]: Extracting #1: cost 13 inf + 0 386.862 * * [simplify]: Extracting #2: cost 161 inf + 0 386.864 * * [simplify]: Extracting #3: cost 304 inf + 1172 386.865 * * [simplify]: Extracting #4: cost 292 inf + 3835 386.868 * * [simplify]: Extracting #5: cost 274 inf + 7956 386.874 * * [simplify]: Extracting #6: cost 206 inf + 33053 386.905 * * [simplify]: Extracting #7: cost 33 inf + 114007 386.939 * * [simplify]: Extracting #8: cost 0 inf + 130786 386.973 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 386.973 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 386.973 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 386.973 * * [simplify]: iters left: 6 (19 enodes) 386.978 * * [simplify]: iters left: 5 (75 enodes) 386.992 * * [simplify]: iters left: 4 (138 enodes) 387.021 * * [simplify]: iters left: 3 (364 enodes) 387.147 * * [simplify]: Extracting #0: cost 1 inf + 0 387.147 * * [simplify]: Extracting #1: cost 0 inf + 1 387.147 * [simplify]: Simplified to 0 387.147 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 387.148 * * * * [progress]: [ 611 / 2246 ] simplifiying candidate # 387.148 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 387.148 * * [simplify]: iters left: 6 (20 enodes) 387.153 * * [simplify]: iters left: 5 (79 enodes) 387.170 * * [simplify]: iters left: 4 (153 enodes) 387.200 * * [simplify]: iters left: 3 (335 enodes) 387.319 * * [simplify]: Extracting #0: cost 1 inf + 0 387.319 * * [simplify]: Extracting #1: cost 19 inf + 0 387.320 * * [simplify]: Extracting #2: cost 123 inf + 0 387.320 * * [simplify]: Extracting #3: cost 213 inf + 528 387.322 * * [simplify]: Extracting #4: cost 198 inf + 3514 387.323 * * [simplify]: Extracting #5: cost 181 inf + 7224 387.329 * * [simplify]: Extracting #6: cost 101 inf + 35521 387.348 * * [simplify]: Extracting #7: cost 10 inf + 75319 387.365 * * [simplify]: Extracting #8: cost 0 inf + 79219 387.384 * * [simplify]: Extracting #9: cost 0 inf + 79194 387.402 * [simplify]: Simplified to (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (cbrt 1/2) (cbrt 1/2)) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 387.402 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (cbrt 1/2) (cbrt 1/2)) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))))) 387.402 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1))) 387.403 * * [simplify]: iters left: 6 (18 enodes) 387.407 * * [simplify]: iters left: 5 (71 enodes) 387.419 * * [simplify]: iters left: 4 (130 enodes) 387.449 * * [simplify]: iters left: 3 (341 enodes) 387.578 * * [simplify]: Extracting #0: cost 1 inf + 0 387.578 * * [simplify]: Extracting #1: cost 0 inf + 1 387.578 * [simplify]: Simplified to 0 387.578 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 0))) 387.578 * * * * [progress]: [ 612 / 2246 ] simplifiying candidate # 387.578 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) 387.578 * * [simplify]: iters left: 6 (22 enodes) 387.585 * * [simplify]: iters left: 5 (88 enodes) 387.602 * * [simplify]: iters left: 4 (153 enodes) 387.631 * * [simplify]: iters left: 3 (336 enodes) 387.742 * * [simplify]: Extracting #0: cost 1 inf + 0 387.742 * * [simplify]: Extracting #1: cost 19 inf + 0 387.742 * * [simplify]: Extracting #2: cost 131 inf + 0 387.743 * * [simplify]: Extracting #3: cost 223 inf + 447 387.744 * * [simplify]: Extracting #4: cost 211 inf + 2788 387.746 * * [simplify]: Extracting #5: cost 198 inf + 5651 387.750 * * [simplify]: Extracting #6: cost 133 inf + 25597 387.763 * * [simplify]: Extracting #7: cost 39 inf + 65854 387.781 * * [simplify]: Extracting #8: cost 0 inf + 83856 387.802 * * [simplify]: Extracting #9: cost 0 inf + 83806 387.820 * [simplify]: Simplified to (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (cbrt 1/2) (cbrt 1/2)) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 387.820 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (cbrt 1/2) (cbrt 1/2)) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))))) 387.821 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)))) 387.821 * * [simplify]: iters left: 6 (19 enodes) 387.826 * * [simplify]: iters left: 5 (76 enodes) 387.839 * * [simplify]: iters left: 4 (115 enodes) 387.861 * * [simplify]: iters left: 3 (283 enodes) 387.958 * * [simplify]: Extracting #0: cost 1 inf + 0 387.958 * * [simplify]: Extracting #1: cost 28 inf + 0 387.959 * * [simplify]: Extracting #2: cost 102 inf + 1 387.959 * * [simplify]: Extracting #3: cost 142 inf + 691 387.960 * * [simplify]: Extracting #4: cost 131 inf + 3683 387.962 * * [simplify]: Extracting #5: cost 102 inf + 11388 387.965 * * [simplify]: Extracting #6: cost 97 inf + 12896 387.972 * * [simplify]: Extracting #7: cost 45 inf + 33427 387.984 * * [simplify]: Extracting #8: cost 0 inf + 53907 388.000 * * [simplify]: Extracting #9: cost 0 inf + 53757 388.014 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 388.014 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 388.014 * * * * [progress]: [ 613 / 2246 ] simplifiying candidate # 388.014 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) 388.015 * * [simplify]: iters left: 6 (22 enodes) 388.021 * * [simplify]: iters left: 5 (88 enodes) 388.035 * * [simplify]: iters left: 4 (153 enodes) 388.065 * * [simplify]: iters left: 3 (336 enodes) 388.173 * * [simplify]: Extracting #0: cost 1 inf + 0 388.173 * * [simplify]: Extracting #1: cost 19 inf + 0 388.174 * * [simplify]: Extracting #2: cost 131 inf + 0 388.174 * * [simplify]: Extracting #3: cost 223 inf + 447 388.175 * * [simplify]: Extracting #4: cost 211 inf + 2788 388.177 * * [simplify]: Extracting #5: cost 198 inf + 5651 388.181 * * [simplify]: Extracting #6: cost 133 inf + 25597 388.197 * * [simplify]: Extracting #7: cost 39 inf + 65854 388.215 * * [simplify]: Extracting #8: cost 0 inf + 83856 388.233 * * [simplify]: Extracting #9: cost 0 inf + 83806 388.251 * [simplify]: Simplified to (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (cbrt 1/2) (cbrt 1/2)) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 388.251 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (cbrt 1/2) (cbrt 1/2)) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))))) 388.251 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)))) 388.251 * * [simplify]: iters left: 6 (19 enodes) 388.257 * * [simplify]: iters left: 5 (76 enodes) 388.271 * * [simplify]: iters left: 4 (115 enodes) 388.294 * * [simplify]: iters left: 3 (283 enodes) 388.392 * * [simplify]: Extracting #0: cost 1 inf + 0 388.392 * * [simplify]: Extracting #1: cost 28 inf + 0 388.393 * * [simplify]: Extracting #2: cost 102 inf + 1 388.393 * * [simplify]: Extracting #3: cost 142 inf + 691 388.394 * * [simplify]: Extracting #4: cost 131 inf + 3683 388.396 * * [simplify]: Extracting #5: cost 102 inf + 11388 388.399 * * [simplify]: Extracting #6: cost 97 inf + 12896 388.406 * * [simplify]: Extracting #7: cost 45 inf + 33427 388.419 * * [simplify]: Extracting #8: cost 0 inf + 53907 388.432 * * [simplify]: Extracting #9: cost 0 inf + 53757 388.446 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 388.446 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 388.446 * * * * [progress]: [ 614 / 2246 ] simplifiying candidate # 388.446 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 388.446 * * [simplify]: iters left: 6 (20 enodes) 388.452 * * [simplify]: iters left: 5 (79 enodes) 388.468 * * [simplify]: iters left: 4 (153 enodes) 388.497 * * [simplify]: iters left: 3 (335 enodes) 388.617 * * [simplify]: Extracting #0: cost 1 inf + 0 388.617 * * [simplify]: Extracting #1: cost 19 inf + 0 388.617 * * [simplify]: Extracting #2: cost 123 inf + 0 388.618 * * [simplify]: Extracting #3: cost 213 inf + 528 388.619 * * [simplify]: Extracting #4: cost 198 inf + 3514 388.621 * * [simplify]: Extracting #5: cost 181 inf + 7224 388.626 * * [simplify]: Extracting #6: cost 101 inf + 35521 388.642 * * [simplify]: Extracting #7: cost 10 inf + 75319 388.663 * * [simplify]: Extracting #8: cost 0 inf + 79219 388.681 * * [simplify]: Extracting #9: cost 0 inf + 79194 388.699 * [simplify]: Simplified to (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (cbrt 1/2) (cbrt 1/2)) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 388.699 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (cbrt 1/2) (cbrt 1/2)) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))))) 388.700 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1))) 388.700 * * [simplify]: iters left: 6 (18 enodes) 388.705 * * [simplify]: iters left: 5 (71 enodes) 388.717 * * [simplify]: iters left: 4 (130 enodes) 388.747 * * [simplify]: iters left: 3 (341 enodes) 388.876 * * [simplify]: Extracting #0: cost 1 inf + 0 388.876 * * [simplify]: Extracting #1: cost 0 inf + 1 388.876 * [simplify]: Simplified to 0 388.876 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 0))) 388.876 * * * * [progress]: [ 615 / 2246 ] simplifiying candidate # 388.876 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 388.876 * * [simplify]: iters left: 6 (20 enodes) 388.881 * * [simplify]: iters left: 5 (81 enodes) 388.896 * * [simplify]: iters left: 4 (187 enodes) 388.945 * * [simplify]: Extracting #0: cost 1 inf + 0 388.945 * * [simplify]: Extracting #1: cost 13 inf + 0 388.945 * * [simplify]: Extracting #2: cost 98 inf + 0 388.946 * * [simplify]: Extracting #3: cost 155 inf + 285 388.946 * * [simplify]: Extracting #4: cost 144 inf + 1876 388.947 * * [simplify]: Extracting #5: cost 129 inf + 5355 388.948 * * [simplify]: Extracting #6: cost 128 inf + 5751 388.950 * * [simplify]: Extracting #7: cost 124 inf + 6303 388.954 * * [simplify]: Extracting #8: cost 68 inf + 31351 388.967 * * [simplify]: Extracting #9: cost 4 inf + 64903 388.983 * * [simplify]: Extracting #10: cost 0 inf + 66255 388.997 * * [simplify]: Extracting #11: cost 0 inf + 66175 389.011 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (hypot 1 x))) 389.011 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (cbrt 1/2) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (hypot 1 x))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 389.012 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 389.012 * * [simplify]: iters left: 6 (19 enodes) 389.017 * * [simplify]: iters left: 5 (76 enodes) 389.031 * * [simplify]: iters left: 4 (163 enodes) 389.073 * * [simplify]: iters left: 3 (466 enodes) 389.292 * * [simplify]: Extracting #0: cost 1 inf + 0 389.292 * * [simplify]: Extracting #1: cost 0 inf + 1 389.292 * [simplify]: Simplified to 0 389.292 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 389.293 * * * * [progress]: [ 616 / 2246 ] simplifiying candidate # 389.293 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 389.293 * * [simplify]: iters left: 6 (19 enodes) 389.298 * * [simplify]: iters left: 5 (76 enodes) 389.311 * * [simplify]: iters left: 4 (154 enodes) 389.349 * * [simplify]: iters left: 3 (390 enodes) 389.490 * * [simplify]: Extracting #0: cost 1 inf + 0 389.490 * * [simplify]: Extracting #1: cost 17 inf + 0 389.490 * * [simplify]: Extracting #2: cost 124 inf + 0 389.491 * * [simplify]: Extracting #3: cost 214 inf + 811 389.493 * * [simplify]: Extracting #4: cost 189 inf + 5321 389.497 * * [simplify]: Extracting #5: cost 134 inf + 22499 389.515 * * [simplify]: Extracting #6: cost 31 inf + 65634 389.535 * * [simplify]: Extracting #7: cost 0 inf + 79990 389.555 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 389.555 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 389.555 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 389.555 * * [simplify]: iters left: 6 (18 enodes) 389.560 * * [simplify]: iters left: 5 (71 enodes) 389.573 * * [simplify]: iters left: 4 (132 enodes) 389.603 * * [simplify]: iters left: 3 (327 enodes) 389.721 * * [simplify]: Extracting #0: cost 1 inf + 0 389.721 * * [simplify]: Extracting #1: cost 0 inf + 1 389.721 * [simplify]: Simplified to 0 389.721 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 389.722 * * * * [progress]: [ 617 / 2246 ] simplifiying candidate # 389.722 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 389.722 * * [simplify]: iters left: 6 (18 enodes) 389.727 * * [simplify]: iters left: 5 (68 enodes) 389.739 * * [simplify]: iters left: 4 (141 enodes) 389.767 * * [simplify]: iters left: 3 (327 enodes) 389.877 * * [simplify]: Extracting #0: cost 1 inf + 0 389.877 * * [simplify]: Extracting #1: cost 24 inf + 0 389.877 * * [simplify]: Extracting #2: cost 107 inf + 1 389.878 * * [simplify]: Extracting #3: cost 132 inf + 851 389.879 * * [simplify]: Extracting #4: cost 114 inf + 4392 389.883 * * [simplify]: Extracting #5: cost 90 inf + 9762 389.889 * * [simplify]: Extracting #6: cost 31 inf + 31827 389.900 * * [simplify]: Extracting #7: cost 1 inf + 43543 389.911 * * [simplify]: Extracting #8: cost 0 inf + 43941 389.922 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 389.922 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))))) 389.922 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1))) 389.923 * * [simplify]: iters left: 6 (17 enodes) 389.928 * * [simplify]: iters left: 5 (62 enodes) 389.938 * * [simplify]: iters left: 4 (117 enodes) 389.962 * * [simplify]: iters left: 3 (259 enodes) 390.033 * * [simplify]: Extracting #0: cost 1 inf + 0 390.033 * * [simplify]: Extracting #1: cost 0 inf + 1 390.033 * [simplify]: Simplified to 0 390.034 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 0))) 390.034 * * * * [progress]: [ 618 / 2246 ] simplifiying candidate # 390.034 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 390.034 * * [simplify]: iters left: 6 (20 enodes) 390.040 * * [simplify]: iters left: 5 (80 enodes) 390.053 * * [simplify]: iters left: 4 (150 enodes) 390.084 * * [simplify]: iters left: 3 (339 enodes) 390.190 * * [simplify]: Extracting #0: cost 1 inf + 0 390.190 * * [simplify]: Extracting #1: cost 25 inf + 0 390.190 * * [simplify]: Extracting #2: cost 129 inf + 1 390.191 * * [simplify]: Extracting #3: cost 157 inf + 1176 390.194 * * [simplify]: Extracting #4: cost 144 inf + 3688 390.196 * * [simplify]: Extracting #5: cost 116 inf + 9359 390.199 * * [simplify]: Extracting #6: cost 109 inf + 10725 390.203 * * [simplify]: Extracting #7: cost 77 inf + 22027 390.214 * * [simplify]: Extracting #8: cost 6 inf + 51178 390.227 * * [simplify]: Extracting #9: cost 0 inf + 53721 390.240 * * [simplify]: Extracting #10: cost 0 inf + 53696 390.253 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 390.253 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))))) 390.254 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)))) 390.254 * * [simplify]: iters left: 6 (18 enodes) 390.260 * * [simplify]: iters left: 5 (71 enodes) 390.270 * * [simplify]: iters left: 4 (123 enodes) 390.296 * * [simplify]: iters left: 3 (278 enodes) 390.375 * * [simplify]: Extracting #0: cost 1 inf + 0 390.375 * * [simplify]: Extracting #1: cost 0 inf + 1 390.375 * [simplify]: Simplified to 0 390.375 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 0))) 390.375 * * * * [progress]: [ 619 / 2246 ] simplifiying candidate # 390.375 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 390.376 * * [simplify]: iters left: 6 (20 enodes) 390.382 * * [simplify]: iters left: 5 (80 enodes) 390.394 * * [simplify]: iters left: 4 (150 enodes) 390.426 * * [simplify]: iters left: 3 (339 enodes) 390.534 * * [simplify]: Extracting #0: cost 1 inf + 0 390.534 * * [simplify]: Extracting #1: cost 25 inf + 0 390.534 * * [simplify]: Extracting #2: cost 129 inf + 1 390.535 * * [simplify]: Extracting #3: cost 157 inf + 1176 390.536 * * [simplify]: Extracting #4: cost 144 inf + 3688 390.538 * * [simplify]: Extracting #5: cost 116 inf + 9359 390.540 * * [simplify]: Extracting #6: cost 109 inf + 10725 390.544 * * [simplify]: Extracting #7: cost 77 inf + 22027 390.556 * * [simplify]: Extracting #8: cost 6 inf + 51178 390.568 * * [simplify]: Extracting #9: cost 0 inf + 53721 390.583 * * [simplify]: Extracting #10: cost 0 inf + 53696 390.597 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 390.597 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))))) 390.597 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)))) 390.597 * * [simplify]: iters left: 6 (18 enodes) 390.603 * * [simplify]: iters left: 5 (71 enodes) 390.614 * * [simplify]: iters left: 4 (123 enodes) 390.638 * * [simplify]: iters left: 3 (278 enodes) 390.719 * * [simplify]: Extracting #0: cost 1 inf + 0 390.720 * * [simplify]: Extracting #1: cost 0 inf + 1 390.720 * [simplify]: Simplified to 0 390.720 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 0))) 390.720 * * * * [progress]: [ 620 / 2246 ] simplifiying candidate # 390.720 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 390.720 * * [simplify]: iters left: 6 (18 enodes) 390.725 * * [simplify]: iters left: 5 (68 enodes) 390.737 * * [simplify]: iters left: 4 (141 enodes) 390.765 * * [simplify]: iters left: 3 (327 enodes) 390.875 * * [simplify]: Extracting #0: cost 1 inf + 0 390.875 * * [simplify]: Extracting #1: cost 24 inf + 0 390.875 * * [simplify]: Extracting #2: cost 107 inf + 1 390.876 * * [simplify]: Extracting #3: cost 132 inf + 851 390.877 * * [simplify]: Extracting #4: cost 114 inf + 4392 390.879 * * [simplify]: Extracting #5: cost 90 inf + 9762 390.885 * * [simplify]: Extracting #6: cost 31 inf + 31827 390.898 * * [simplify]: Extracting #7: cost 1 inf + 43543 390.909 * * [simplify]: Extracting #8: cost 0 inf + 43941 390.920 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 390.920 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))))) 390.921 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1))) 390.921 * * [simplify]: iters left: 6 (17 enodes) 390.925 * * [simplify]: iters left: 5 (62 enodes) 390.936 * * [simplify]: iters left: 4 (117 enodes) 390.959 * * [simplify]: iters left: 3 (259 enodes) 391.032 * * [simplify]: Extracting #0: cost 1 inf + 0 391.032 * * [simplify]: Extracting #1: cost 0 inf + 1 391.032 * [simplify]: Simplified to 0 391.032 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 0))) 391.032 * * * * [progress]: [ 621 / 2246 ] simplifiying candidate # 391.032 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 391.032 * * [simplify]: iters left: 6 (24 enodes) 391.038 * * [simplify]: iters left: 5 (94 enodes) 391.055 * * [simplify]: iters left: 4 (205 enodes) 391.104 * * [simplify]: Extracting #0: cost 1 inf + 0 391.104 * * [simplify]: Extracting #1: cost 13 inf + 0 391.104 * * [simplify]: Extracting #2: cost 120 inf + 0 391.105 * * [simplify]: Extracting #3: cost 200 inf + 569 391.106 * * [simplify]: Extracting #4: cost 200 inf + 1014 391.107 * * [simplify]: Extracting #5: cost 184 inf + 3855 391.108 * * [simplify]: Extracting #6: cost 162 inf + 9650 391.111 * * [simplify]: Extracting #7: cost 136 inf + 19878 391.124 * * [simplify]: Extracting #8: cost 32 inf + 77310 391.143 * * [simplify]: Extracting #9: cost 0 inf + 95846 391.162 * * [simplify]: Extracting #10: cost 0 inf + 94886 391.184 * * [simplify]: Extracting #11: cost 0 inf + 94686 391.203 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (* (sqrt 1/2) (sqrt 1/2)) (* (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 391.203 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (* (sqrt 1/2) (sqrt 1/2)) (* (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 391.203 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 391.203 * * [simplify]: iters left: 6 (20 enodes) 391.209 * * [simplify]: iters left: 5 (80 enodes) 391.222 * * [simplify]: iters left: 4 (163 enodes) 391.263 * * [simplify]: iters left: 3 (493 enodes) 391.465 * * [simplify]: Extracting #0: cost 1 inf + 0 391.465 * * [simplify]: Extracting #1: cost 0 inf + 1 391.465 * [simplify]: Simplified to 0 391.465 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 391.466 * * * * [progress]: [ 622 / 2246 ] simplifiying candidate # 391.466 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 391.466 * * [simplify]: iters left: 6 (23 enodes) 391.472 * * [simplify]: iters left: 5 (89 enodes) 391.491 * * [simplify]: iters left: 4 (174 enodes) 391.526 * * [simplify]: iters left: 3 (432 enodes) 391.646 * * [simplify]: Extracting #0: cost 1 inf + 0 391.646 * * [simplify]: Extracting #1: cost 13 inf + 0 391.646 * * [simplify]: Extracting #2: cost 123 inf + 0 391.647 * * [simplify]: Extracting #3: cost 220 inf + 408 391.648 * * [simplify]: Extracting #4: cost 219 inf + 1178 391.649 * * [simplify]: Extracting #5: cost 200 inf + 4865 391.653 * * [simplify]: Extracting #6: cost 149 inf + 21897 391.671 * * [simplify]: Extracting #7: cost 35 inf + 73373 391.692 * * [simplify]: Extracting #8: cost 1 inf + 89908 391.714 * * [simplify]: Extracting #9: cost 0 inf + 90406 391.736 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ -1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 391.736 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ -1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 391.737 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 391.737 * * [simplify]: iters left: 6 (19 enodes) 391.742 * * [simplify]: iters left: 5 (75 enodes) 391.756 * * [simplify]: iters left: 4 (134 enodes) 391.783 * * [simplify]: iters left: 3 (346 enodes) 391.886 * * [simplify]: Extracting #0: cost 1 inf + 0 391.886 * * [simplify]: Extracting #1: cost 0 inf + 1 391.886 * [simplify]: Simplified to 0 391.886 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 391.887 * * * * [progress]: [ 623 / 2246 ] simplifiying candidate # 391.887 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 391.887 * * [simplify]: iters left: 6 (22 enodes) 391.892 * * [simplify]: iters left: 5 (84 enodes) 391.907 * * [simplify]: iters left: 4 (165 enodes) 391.944 * * [simplify]: iters left: 3 (395 enodes) 392.063 * * [simplify]: Extracting #0: cost 1 inf + 0 392.063 * * [simplify]: Extracting #1: cost 13 inf + 0 392.064 * * [simplify]: Extracting #2: cost 98 inf + 0 392.064 * * [simplify]: Extracting #3: cost 169 inf + 690 392.065 * * [simplify]: Extracting #4: cost 163 inf + 1746 392.066 * * [simplify]: Extracting #5: cost 162 inf + 1886 392.068 * * [simplify]: Extracting #6: cost 122 inf + 13596 392.080 * * [simplify]: Extracting #7: cost 27 inf + 49239 392.096 * * [simplify]: Extracting #8: cost 0 inf + 59872 392.111 * * [simplify]: Extracting #9: cost 0 inf + 59797 392.126 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 392.126 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 392.126 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 392.126 * * [simplify]: iters left: 6 (18 enodes) 392.131 * * [simplify]: iters left: 5 (70 enodes) 392.145 * * [simplify]: iters left: 4 (126 enodes) 392.171 * * [simplify]: iters left: 3 (322 enodes) 392.274 * * [simplify]: Extracting #0: cost 1 inf + 0 392.274 * * [simplify]: Extracting #1: cost 0 inf + 1 392.274 * [simplify]: Simplified to 0 392.274 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 392.274 * * * * [progress]: [ 624 / 2246 ] simplifiying candidate # 392.274 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 392.274 * * [simplify]: iters left: 6 (24 enodes) 392.281 * * [simplify]: iters left: 5 (93 enodes) 392.296 * * [simplify]: iters left: 4 (154 enodes) 392.328 * * [simplify]: iters left: 3 (345 enodes) 392.427 * * [simplify]: Extracting #0: cost 1 inf + 0 392.427 * * [simplify]: Extracting #1: cost 17 inf + 0 392.427 * * [simplify]: Extracting #2: cost 110 inf + 0 392.428 * * [simplify]: Extracting #3: cost 172 inf + 569 392.429 * * [simplify]: Extracting #4: cost 165 inf + 1865 392.430 * * [simplify]: Extracting #5: cost 148 inf + 5783 392.433 * * [simplify]: Extracting #6: cost 120 inf + 13384 392.437 * * [simplify]: Extracting #7: cost 95 inf + 21674 392.451 * * [simplify]: Extracting #8: cost 10 inf + 57869 392.465 * * [simplify]: Extracting #9: cost 0 inf + 61784 392.478 * * [simplify]: Extracting #10: cost 0 inf + 61734 392.492 * [simplify]: Simplified to (- (/ (cbrt 1/2) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (hypot 1 x)))) 392.492 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (cbrt 1/2) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (hypot 1 x)))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 392.493 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 392.493 * * [simplify]: iters left: 6 (19 enodes) 392.499 * * [simplify]: iters left: 5 (75 enodes) 392.511 * * [simplify]: iters left: 4 (111 enodes) 392.533 * * [simplify]: iters left: 3 (244 enodes) 392.598 * * [simplify]: Extracting #0: cost 1 inf + 0 392.598 * * [simplify]: Extracting #1: cost 18 inf + 0 392.599 * * [simplify]: Extracting #2: cost 75 inf + 1 392.599 * * [simplify]: Extracting #3: cost 123 inf + 1 392.600 * * [simplify]: Extracting #4: cost 115 inf + 1708 392.601 * * [simplify]: Extracting #5: cost 83 inf + 10385 392.604 * * [simplify]: Extracting #6: cost 78 inf + 11373 392.610 * * [simplify]: Extracting #7: cost 25 inf + 31967 392.619 * * [simplify]: Extracting #8: cost 0 inf + 41997 392.629 * * [simplify]: Extracting #9: cost 0 inf + 41872 392.639 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 392.639 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))))))) 392.639 * * * * [progress]: [ 625 / 2246 ] simplifiying candidate # 392.640 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 392.640 * * [simplify]: iters left: 6 (24 enodes) 392.646 * * [simplify]: iters left: 5 (93 enodes) 392.661 * * [simplify]: iters left: 4 (154 enodes) 392.694 * * [simplify]: iters left: 3 (345 enodes) 392.798 * * [simplify]: Extracting #0: cost 1 inf + 0 392.798 * * [simplify]: Extracting #1: cost 17 inf + 0 392.798 * * [simplify]: Extracting #2: cost 110 inf + 0 392.799 * * [simplify]: Extracting #3: cost 172 inf + 569 392.800 * * [simplify]: Extracting #4: cost 165 inf + 1865 392.801 * * [simplify]: Extracting #5: cost 148 inf + 5783 392.804 * * [simplify]: Extracting #6: cost 120 inf + 13384 392.807 * * [simplify]: Extracting #7: cost 95 inf + 21674 392.818 * * [simplify]: Extracting #8: cost 10 inf + 57869 392.832 * * [simplify]: Extracting #9: cost 0 inf + 61784 392.845 * * [simplify]: Extracting #10: cost 0 inf + 61734 392.859 * [simplify]: Simplified to (- (/ (cbrt 1/2) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (hypot 1 x)))) 392.859 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (cbrt 1/2) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt 1/2) (cbrt 1/2)))) (/ (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (hypot 1 x)))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 392.860 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 392.860 * * [simplify]: iters left: 6 (19 enodes) 392.865 * * [simplify]: iters left: 5 (75 enodes) 392.880 * * [simplify]: iters left: 4 (111 enodes) 392.901 * * [simplify]: iters left: 3 (244 enodes) 392.966 * * [simplify]: Extracting #0: cost 1 inf + 0 392.966 * * [simplify]: Extracting #1: cost 18 inf + 0 392.966 * * [simplify]: Extracting #2: cost 75 inf + 1 392.966 * * [simplify]: Extracting #3: cost 123 inf + 1 392.967 * * [simplify]: Extracting #4: cost 115 inf + 1708 392.968 * * [simplify]: Extracting #5: cost 83 inf + 10385 392.970 * * [simplify]: Extracting #6: cost 78 inf + 11373 392.976 * * [simplify]: Extracting #7: cost 25 inf + 31967 392.986 * * [simplify]: Extracting #8: cost 0 inf + 41997 392.997 * * [simplify]: Extracting #9: cost 0 inf + 41872 393.009 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 393.009 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))))))) 393.010 * * * * [progress]: [ 626 / 2246 ] simplifiying candidate # 393.010 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 393.010 * * [simplify]: iters left: 6 (22 enodes) 393.016 * * [simplify]: iters left: 5 (84 enodes) 393.030 * * [simplify]: iters left: 4 (165 enodes) 393.064 * * [simplify]: iters left: 3 (395 enodes) 393.182 * * [simplify]: Extracting #0: cost 1 inf + 0 393.182 * * [simplify]: Extracting #1: cost 13 inf + 0 393.182 * * [simplify]: Extracting #2: cost 98 inf + 0 393.183 * * [simplify]: Extracting #3: cost 169 inf + 690 393.184 * * [simplify]: Extracting #4: cost 163 inf + 1746 393.185 * * [simplify]: Extracting #5: cost 162 inf + 1886 393.187 * * [simplify]: Extracting #6: cost 122 inf + 13596 393.203 * * [simplify]: Extracting #7: cost 27 inf + 49239 393.218 * * [simplify]: Extracting #8: cost 0 inf + 59872 393.233 * * [simplify]: Extracting #9: cost 0 inf + 59797 393.247 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 393.247 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 393.248 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 393.248 * * [simplify]: iters left: 6 (18 enodes) 393.253 * * [simplify]: iters left: 5 (70 enodes) 393.264 * * [simplify]: iters left: 4 (126 enodes) 393.293 * * [simplify]: iters left: 3 (322 enodes) 393.395 * * [simplify]: Extracting #0: cost 1 inf + 0 393.395 * * [simplify]: Extracting #1: cost 0 inf + 1 393.395 * [simplify]: Simplified to 0 393.396 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 393.396 * * * * [progress]: [ 627 / 2246 ] simplifiying candidate # 393.396 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 393.396 * * [simplify]: iters left: 6 (22 enodes) 393.402 * * [simplify]: iters left: 5 (86 enodes) 393.418 * * [simplify]: iters left: 4 (179 enodes) 393.452 * * [simplify]: iters left: 3 (423 enodes) 393.569 * * [simplify]: Extracting #0: cost 1 inf + 0 393.569 * * [simplify]: Extracting #1: cost 13 inf + 0 393.569 * * [simplify]: Extracting #2: cost 114 inf + 0 393.570 * * [simplify]: Extracting #3: cost 219 inf + 367 393.571 * * [simplify]: Extracting #4: cost 217 inf + 1219 393.572 * * [simplify]: Extracting #5: cost 206 inf + 2901 393.574 * * [simplify]: Extracting #6: cost 188 inf + 6282 393.577 * * [simplify]: Extracting #7: cost 157 inf + 18763 393.598 * * [simplify]: Extracting #8: cost 34 inf + 77346 393.624 * * [simplify]: Extracting #9: cost 0 inf + 94855 393.649 * * [simplify]: Extracting #10: cost 0 inf + 94631 393.674 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (* (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 393.675 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (* (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 393.675 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 393.675 * * [simplify]: iters left: 6 (18 enodes) 393.680 * * [simplify]: iters left: 5 (72 enodes) 393.693 * * [simplify]: iters left: 4 (139 enodes) 393.721 * * [simplify]: iters left: 3 (344 enodes) 393.822 * * [simplify]: Extracting #0: cost 1 inf + 0 393.822 * * [simplify]: Extracting #1: cost 0 inf + 1 393.822 * [simplify]: Simplified to 0 393.822 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 393.822 * * * * [progress]: [ 628 / 2246 ] simplifiying candidate # 393.822 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 393.823 * * [simplify]: iters left: 6 (20 enodes) 393.828 * * [simplify]: iters left: 5 (75 enodes) 393.842 * * [simplify]: iters left: 4 (137 enodes) 393.867 * * [simplify]: iters left: 3 (294 enodes) 393.932 * * [simplify]: Extracting #0: cost 1 inf + 0 393.932 * * [simplify]: Extracting #1: cost 11 inf + 0 393.932 * * [simplify]: Extracting #2: cost 84 inf + 0 393.932 * * [simplify]: Extracting #3: cost 150 inf + 84 393.933 * * [simplify]: Extracting #4: cost 147 inf + 815 393.934 * * [simplify]: Extracting #5: cost 142 inf + 1600 393.935 * * [simplify]: Extracting #6: cost 129 inf + 3848 393.936 * * [simplify]: Extracting #7: cost 114 inf + 6518 393.943 * * [simplify]: Extracting #8: cost 51 inf + 30097 393.955 * * [simplify]: Extracting #9: cost 4 inf + 50259 393.968 * * [simplify]: Extracting #10: cost 0 inf + 52131 393.981 * [simplify]: Simplified to (fma (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 393.981 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 393.981 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 393.981 * * [simplify]: iters left: 6 (16 enodes) 393.986 * * [simplify]: iters left: 5 (62 enodes) 393.996 * * [simplify]: iters left: 4 (105 enodes) 394.015 * * [simplify]: iters left: 3 (234 enodes) 394.068 * * [simplify]: Extracting #0: cost 1 inf + 0 394.068 * * [simplify]: Extracting #1: cost 0 inf + 1 394.068 * [simplify]: Simplified to 0 394.068 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 394.069 * * * * [progress]: [ 629 / 2246 ] simplifiying candidate # 394.069 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 394.069 * * [simplify]: iters left: 6 (20 enodes) 394.074 * * [simplify]: iters left: 5 (77 enodes) 394.090 * * [simplify]: iters left: 4 (149 enodes) 394.119 * * [simplify]: iters left: 3 (318 enodes) 394.200 * * [simplify]: Extracting #0: cost 1 inf + 0 394.200 * * [simplify]: Extracting #1: cost 13 inf + 0 394.201 * * [simplify]: Extracting #2: cost 79 inf + 0 394.201 * * [simplify]: Extracting #3: cost 130 inf + 206 394.202 * * [simplify]: Extracting #4: cost 122 inf + 1503 394.202 * * [simplify]: Extracting #5: cost 119 inf + 1886 394.204 * * [simplify]: Extracting #6: cost 100 inf + 5322 394.208 * * [simplify]: Extracting #7: cost 37 inf + 25385 394.220 * * [simplify]: Extracting #8: cost 2 inf + 38272 394.229 * * [simplify]: Extracting #9: cost 0 inf + 39159 394.239 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (hypot 1 x)))) 394.239 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (hypot 1 x)))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))))) 394.239 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1))) 394.240 * * [simplify]: iters left: 6 (16 enodes) 394.244 * * [simplify]: iters left: 5 (63 enodes) 394.254 * * [simplify]: iters left: 4 (113 enodes) 394.277 * * [simplify]: iters left: 3 (256 enodes) 394.345 * * [simplify]: Extracting #0: cost 1 inf + 0 394.346 * * [simplify]: Extracting #1: cost 0 inf + 1 394.346 * [simplify]: Simplified to 0 394.346 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 0))) 394.346 * * * * [progress]: [ 630 / 2246 ] simplifiying candidate # 394.346 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 394.346 * * [simplify]: iters left: 6 (22 enodes) 394.352 * * [simplify]: iters left: 5 (86 enodes) 394.366 * * [simplify]: iters left: 4 (143 enodes) 394.391 * * [simplify]: iters left: 3 (305 enodes) 394.470 * * [simplify]: Extracting #0: cost 1 inf + 0 394.470 * * [simplify]: Extracting #1: cost 15 inf + 0 394.470 * * [simplify]: Extracting #2: cost 81 inf + 0 394.471 * * [simplify]: Extracting #3: cost 126 inf + 83 394.471 * * [simplify]: Extracting #4: cost 117 inf + 1583 394.472 * * [simplify]: Extracting #5: cost 115 inf + 1923 394.473 * * [simplify]: Extracting #6: cost 103 inf + 4074 394.475 * * [simplify]: Extracting #7: cost 60 inf + 15997 394.482 * * [simplify]: Extracting #8: cost 10 inf + 34522 394.491 * * [simplify]: Extracting #9: cost 0 inf + 38657 394.500 * * [simplify]: Extracting #10: cost 0 inf + 38632 394.509 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt 1/2))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) 394.509 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt 1/2))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))))) 394.509 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)))) 394.510 * * [simplify]: iters left: 6 (17 enodes) 394.514 * * [simplify]: iters left: 5 (68 enodes) 394.526 * * [simplify]: iters left: 4 (101 enodes) 394.546 * * [simplify]: iters left: 3 (206 enodes) 394.591 * * [simplify]: iters left: 2 (407 enodes) 394.704 * * [simplify]: Extracting #0: cost 1 inf + 0 394.704 * * [simplify]: Extracting #1: cost 0 inf + 1 394.704 * [simplify]: Simplified to 0 394.704 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 394.704 * * * * [progress]: [ 631 / 2246 ] simplifiying candidate # 394.704 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 394.704 * * [simplify]: iters left: 6 (22 enodes) 394.710 * * [simplify]: iters left: 5 (86 enodes) 394.727 * * [simplify]: iters left: 4 (143 enodes) 394.753 * * [simplify]: iters left: 3 (305 enodes) 394.830 * * [simplify]: Extracting #0: cost 1 inf + 0 394.830 * * [simplify]: Extracting #1: cost 15 inf + 0 394.830 * * [simplify]: Extracting #2: cost 81 inf + 0 394.831 * * [simplify]: Extracting #3: cost 126 inf + 83 394.831 * * [simplify]: Extracting #4: cost 117 inf + 1583 394.832 * * [simplify]: Extracting #5: cost 115 inf + 1923 394.833 * * [simplify]: Extracting #6: cost 103 inf + 4074 394.835 * * [simplify]: Extracting #7: cost 60 inf + 15997 394.842 * * [simplify]: Extracting #8: cost 10 inf + 34522 394.853 * * [simplify]: Extracting #9: cost 0 inf + 38657 394.862 * * [simplify]: Extracting #10: cost 0 inf + 38632 394.871 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt 1/2))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) 394.871 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt 1/2))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))))) 394.872 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)))) 394.872 * * [simplify]: iters left: 6 (17 enodes) 394.877 * * [simplify]: iters left: 5 (68 enodes) 394.887 * * [simplify]: iters left: 4 (101 enodes) 394.904 * * [simplify]: iters left: 3 (206 enodes) 394.950 * * [simplify]: iters left: 2 (407 enodes) 395.061 * * [simplify]: Extracting #0: cost 1 inf + 0 395.062 * * [simplify]: Extracting #1: cost 0 inf + 1 395.062 * [simplify]: Simplified to 0 395.062 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 395.062 * * * * [progress]: [ 632 / 2246 ] simplifiying candidate # 395.062 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 395.062 * * [simplify]: iters left: 6 (20 enodes) 395.067 * * [simplify]: iters left: 5 (77 enodes) 395.080 * * [simplify]: iters left: 4 (149 enodes) 395.113 * * [simplify]: iters left: 3 (318 enodes) 395.194 * * [simplify]: Extracting #0: cost 1 inf + 0 395.194 * * [simplify]: Extracting #1: cost 13 inf + 0 395.194 * * [simplify]: Extracting #2: cost 79 inf + 0 395.195 * * [simplify]: Extracting #3: cost 130 inf + 206 395.196 * * [simplify]: Extracting #4: cost 122 inf + 1503 395.196 * * [simplify]: Extracting #5: cost 119 inf + 1886 395.197 * * [simplify]: Extracting #6: cost 100 inf + 5322 395.202 * * [simplify]: Extracting #7: cost 37 inf + 25385 395.211 * * [simplify]: Extracting #8: cost 2 inf + 38272 395.221 * * [simplify]: Extracting #9: cost 0 inf + 39159 395.233 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (hypot 1 x)))) 395.233 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (hypot 1 x)))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))))) 395.233 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1))) 395.233 * * [simplify]: iters left: 6 (16 enodes) 395.238 * * [simplify]: iters left: 5 (63 enodes) 395.248 * * [simplify]: iters left: 4 (113 enodes) 395.271 * * [simplify]: iters left: 3 (256 enodes) 395.337 * * [simplify]: Extracting #0: cost 1 inf + 0 395.337 * * [simplify]: Extracting #1: cost 0 inf + 1 395.337 * [simplify]: Simplified to 0 395.337 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 0))) 395.338 * * * * [progress]: [ 633 / 2246 ] simplifiying candidate # 395.338 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 395.338 * * [simplify]: iters left: 6 (22 enodes) 395.343 * * [simplify]: iters left: 5 (85 enodes) 395.361 * * [simplify]: iters left: 4 (175 enodes) 395.397 * * [simplify]: iters left: 3 (395 enodes) 395.511 * * [simplify]: Extracting #0: cost 1 inf + 0 395.511 * * [simplify]: Extracting #1: cost 13 inf + 0 395.511 * * [simplify]: Extracting #2: cost 98 inf + 0 395.512 * * [simplify]: Extracting #3: cost 158 inf + 528 395.512 * * [simplify]: Extracting #4: cost 145 inf + 1804 395.513 * * [simplify]: Extracting #5: cost 135 inf + 3321 395.515 * * [simplify]: Extracting #6: cost 131 inf + 3873 395.520 * * [simplify]: Extracting #7: cost 73 inf + 27546 395.536 * * [simplify]: Extracting #8: cost 5 inf + 57853 395.556 * * [simplify]: Extracting #9: cost 0 inf + 59597 395.573 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 395.574 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 395.574 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 395.574 * * [simplify]: iters left: 6 (18 enodes) 395.579 * * [simplify]: iters left: 5 (71 enodes) 395.590 * * [simplify]: iters left: 4 (135 enodes) 395.620 * * [simplify]: iters left: 3 (317 enodes) 395.713 * * [simplify]: Extracting #0: cost 1 inf + 0 395.713 * * [simplify]: Extracting #1: cost 0 inf + 1 395.713 * [simplify]: Simplified to 0 395.713 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 395.713 * * * * [progress]: [ 634 / 2246 ] simplifiying candidate # 395.713 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 395.714 * * [simplify]: iters left: 6 (21 enodes) 395.719 * * [simplify]: iters left: 5 (80 enodes) 395.732 * * [simplify]: iters left: 4 (149 enodes) 395.762 * * [simplify]: iters left: 3 (301 enodes) 395.832 * * [simplify]: Extracting #0: cost 1 inf + 0 395.832 * * [simplify]: Extracting #1: cost 13 inf + 0 395.832 * * [simplify]: Extracting #2: cost 76 inf + 0 395.832 * * [simplify]: Extracting #3: cost 117 inf + 84 395.833 * * [simplify]: Extracting #4: cost 107 inf + 955 395.834 * * [simplify]: Extracting #5: cost 91 inf + 3337 395.838 * * [simplify]: Extracting #6: cost 33 inf + 22010 395.846 * * [simplify]: Extracting #7: cost 4 inf + 32530 395.855 * * [simplify]: Extracting #8: cost 0 inf + 34121 395.864 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 395.864 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 395.865 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 395.865 * * [simplify]: iters left: 6 (17 enodes) 395.871 * * [simplify]: iters left: 5 (66 enodes) 395.881 * * [simplify]: iters left: 4 (111 enodes) 395.902 * * [simplify]: iters left: 3 (224 enodes) 395.953 * * [simplify]: iters left: 2 (415 enodes) 396.052 * * [simplify]: Extracting #0: cost 1 inf + 0 396.052 * * [simplify]: Extracting #1: cost 0 inf + 1 396.052 * [simplify]: Simplified to 0 396.052 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 396.053 * * * * [progress]: [ 635 / 2246 ] simplifiying candidate # 396.053 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 396.053 * * [simplify]: iters left: 6 (20 enodes) 396.058 * * [simplify]: iters left: 5 (71 enodes) 396.070 * * [simplify]: iters left: 4 (133 enodes) 396.092 * * [simplify]: iters left: 3 (236 enodes) 396.140 * * [simplify]: iters left: 2 (413 enodes) 396.240 * * [simplify]: Extracting #0: cost 1 inf + 0 396.240 * * [simplify]: Extracting #1: cost 13 inf + 0 396.240 * * [simplify]: Extracting #2: cost 56 inf + 0 396.240 * * [simplify]: Extracting #3: cost 91 inf + 206 396.241 * * [simplify]: Extracting #4: cost 76 inf + 2099 396.242 * * [simplify]: Extracting #5: cost 61 inf + 4498 396.246 * * [simplify]: Extracting #6: cost 15 inf + 18634 396.252 * * [simplify]: Extracting #7: cost 0 inf + 23525 396.258 * * [simplify]: Extracting #8: cost 0 inf + 23500 396.264 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 396.264 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))))) 396.264 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1))) 396.264 * * [simplify]: iters left: 6 (16 enodes) 396.269 * * [simplify]: iters left: 5 (58 enodes) 396.278 * * [simplify]: iters left: 4 (106 enodes) 396.297 * * [simplify]: iters left: 3 (186 enodes) 396.335 * * [simplify]: iters left: 2 (342 enodes) 396.409 * * [simplify]: iters left: 1 (486 enodes) 396.512 * * [simplify]: Extracting #0: cost 1 inf + 0 396.512 * * [simplify]: Extracting #1: cost 0 inf + 1 396.512 * [simplify]: Simplified to 0 396.512 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 396.512 * * * * [progress]: [ 636 / 2246 ] simplifiying candidate # 396.512 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 396.512 * * [simplify]: iters left: 6 (22 enodes) 396.518 * * [simplify]: iters left: 5 (84 enodes) 396.533 * * [simplify]: iters left: 4 (137 enodes) 396.555 * * [simplify]: iters left: 3 (244 enodes) 396.595 * * [simplify]: iters left: 2 (386 enodes) 396.680 * * [simplify]: Extracting #0: cost 1 inf + 0 396.680 * * [simplify]: Extracting #1: cost 13 inf + 0 396.680 * * [simplify]: Extracting #2: cost 58 inf + 0 396.680 * * [simplify]: Extracting #3: cost 87 inf + 84 396.681 * * [simplify]: Extracting #4: cost 73 inf + 1574 396.682 * * [simplify]: Extracting #5: cost 59 inf + 3778 396.684 * * [simplify]: Extracting #6: cost 31 inf + 11857 396.690 * * [simplify]: Extracting #7: cost 1 inf + 21575 396.695 * * [simplify]: Extracting #8: cost 0 inf + 21839 396.701 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 396.701 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))))) 396.701 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1)))) 396.702 * * [simplify]: iters left: 6 (17 enodes) 396.707 * * [simplify]: iters left: 5 (66 enodes) 396.717 * * [simplify]: iters left: 4 (101 enodes) 396.736 * * [simplify]: iters left: 3 (170 enodes) 396.765 * * [simplify]: iters left: 2 (266 enodes) 397.080 * * [simplify]: iters left: 1 (380 enodes) 397.164 * * [simplify]: Extracting #0: cost 1 inf + 0 397.164 * * [simplify]: Extracting #1: cost 0 inf + 1 397.164 * [simplify]: Simplified to 0 397.164 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 397.164 * * * * [progress]: [ 637 / 2246 ] simplifiying candidate # 397.164 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 397.164 * * [simplify]: iters left: 6 (22 enodes) 397.173 * * [simplify]: iters left: 5 (84 enodes) 397.185 * * [simplify]: iters left: 4 (137 enodes) 397.206 * * [simplify]: iters left: 3 (244 enodes) 397.248 * * [simplify]: iters left: 2 (386 enodes) 397.329 * * [simplify]: Extracting #0: cost 1 inf + 0 397.329 * * [simplify]: Extracting #1: cost 13 inf + 0 397.329 * * [simplify]: Extracting #2: cost 58 inf + 0 397.329 * * [simplify]: Extracting #3: cost 87 inf + 84 397.330 * * [simplify]: Extracting #4: cost 73 inf + 1574 397.331 * * [simplify]: Extracting #5: cost 59 inf + 3778 397.333 * * [simplify]: Extracting #6: cost 31 inf + 11857 397.338 * * [simplify]: Extracting #7: cost 1 inf + 21575 397.344 * * [simplify]: Extracting #8: cost 0 inf + 21839 397.349 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 397.350 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))))) 397.350 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1)))) 397.350 * * [simplify]: iters left: 6 (17 enodes) 397.356 * * [simplify]: iters left: 5 (66 enodes) 397.368 * * [simplify]: iters left: 4 (101 enodes) 397.384 * * [simplify]: iters left: 3 (170 enodes) 397.412 * * [simplify]: iters left: 2 (266 enodes) 397.464 * * [simplify]: iters left: 1 (380 enodes) 397.549 * * [simplify]: Extracting #0: cost 1 inf + 0 397.549 * * [simplify]: Extracting #1: cost 0 inf + 1 397.549 * [simplify]: Simplified to 0 397.549 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 397.549 * * * * [progress]: [ 638 / 2246 ] simplifiying candidate # 397.549 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 397.549 * * [simplify]: iters left: 6 (20 enodes) 397.554 * * [simplify]: iters left: 5 (71 enodes) 397.566 * * [simplify]: iters left: 4 (133 enodes) 397.589 * * [simplify]: iters left: 3 (236 enodes) 397.637 * * [simplify]: iters left: 2 (413 enodes) 397.737 * * [simplify]: Extracting #0: cost 1 inf + 0 397.737 * * [simplify]: Extracting #1: cost 13 inf + 0 397.737 * * [simplify]: Extracting #2: cost 56 inf + 0 397.737 * * [simplify]: Extracting #3: cost 91 inf + 206 397.738 * * [simplify]: Extracting #4: cost 76 inf + 2099 397.739 * * [simplify]: Extracting #5: cost 61 inf + 4498 397.743 * * [simplify]: Extracting #6: cost 15 inf + 18634 397.749 * * [simplify]: Extracting #7: cost 0 inf + 23525 397.755 * * [simplify]: Extracting #8: cost 0 inf + 23500 397.761 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 397.761 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))))) 397.761 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1))) 397.761 * * [simplify]: iters left: 6 (16 enodes) 397.766 * * [simplify]: iters left: 5 (58 enodes) 397.775 * * [simplify]: iters left: 4 (106 enodes) 397.792 * * [simplify]: iters left: 3 (186 enodes) 397.832 * * [simplify]: iters left: 2 (342 enodes) 397.905 * * [simplify]: iters left: 1 (486 enodes) 398.006 * * [simplify]: Extracting #0: cost 1 inf + 0 398.006 * * [simplify]: Extracting #1: cost 0 inf + 1 398.006 * [simplify]: Simplified to 0 398.006 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 398.006 * * * * [progress]: [ 639 / 2246 ] simplifiying candidate # 398.007 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 398.007 * * [simplify]: iters left: 6 (23 enodes) 398.012 * * [simplify]: iters left: 5 (92 enodes) 398.028 * * [simplify]: iters left: 4 (208 enodes) 398.077 * * [simplify]: Extracting #0: cost 1 inf + 0 398.077 * * [simplify]: Extracting #1: cost 13 inf + 0 398.077 * * [simplify]: Extracting #2: cost 113 inf + 0 398.078 * * [simplify]: Extracting #3: cost 181 inf + 409 398.078 * * [simplify]: Extracting #4: cost 180 inf + 1136 398.079 * * [simplify]: Extracting #5: cost 172 inf + 2694 398.081 * * [simplify]: Extracting #6: cost 125 inf + 17115 398.093 * * [simplify]: Extracting #7: cost 31 inf + 62109 398.111 * * [simplify]: Extracting #8: cost 0 inf + 78065 398.128 * * [simplify]: Extracting #9: cost 0 inf + 78064 398.145 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 398.145 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (* (cbrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 398.146 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 398.146 * * [simplify]: iters left: 6 (19 enodes) 398.150 * * [simplify]: iters left: 5 (78 enodes) 398.164 * * [simplify]: iters left: 4 (164 enodes) 398.204 * * [simplify]: iters left: 3 (469 enodes) 398.462 * * [simplify]: Extracting #0: cost 1 inf + 0 398.462 * * [simplify]: Extracting #1: cost 0 inf + 1 398.463 * [simplify]: Simplified to 0 398.463 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 398.463 * * * * [progress]: [ 640 / 2246 ] simplifiying candidate # 398.463 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 398.464 * * [simplify]: iters left: 6 (22 enodes) 398.469 * * [simplify]: iters left: 5 (87 enodes) 398.484 * * [simplify]: iters left: 4 (178 enodes) 398.524 * * [simplify]: iters left: 3 (426 enodes) 398.680 * * [simplify]: Extracting #0: cost 1 inf + 0 398.680 * * [simplify]: Extracting #1: cost 13 inf + 0 398.681 * * [simplify]: Extracting #2: cost 143 inf + 0 398.682 * * [simplify]: Extracting #3: cost 253 inf + 490 398.683 * * [simplify]: Extracting #4: cost 251 inf + 1138 398.684 * * [simplify]: Extracting #5: cost 241 inf + 3074 398.689 * * [simplify]: Extracting #6: cost 170 inf + 24248 398.708 * * [simplify]: Extracting #7: cost 31 inf + 82899 398.733 * * [simplify]: Extracting #8: cost 0 inf + 97127 398.761 * [simplify]: Simplified to (fma (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ -1/2 (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))))) 398.761 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ -1/2 (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 398.761 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 398.761 * * [simplify]: iters left: 6 (18 enodes) 398.766 * * [simplify]: iters left: 5 (73 enodes) 398.778 * * [simplify]: iters left: 4 (136 enodes) 398.805 * * [simplify]: iters left: 3 (336 enodes) 398.937 * * [simplify]: Extracting #0: cost 1 inf + 0 398.937 * * [simplify]: Extracting #1: cost 0 inf + 1 398.937 * [simplify]: Simplified to 0 398.937 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 398.937 * * * * [progress]: [ 641 / 2246 ] simplifiying candidate # 398.938 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 398.938 * * [simplify]: iters left: 6 (21 enodes) 398.943 * * [simplify]: iters left: 5 (82 enodes) 398.958 * * [simplify]: iters left: 4 (169 enodes) 398.995 * * [simplify]: iters left: 3 (375 enodes) 399.122 * * [simplify]: Extracting #0: cost 1 inf + 0 399.122 * * [simplify]: Extracting #1: cost 13 inf + 0 399.123 * * [simplify]: Extracting #2: cost 113 inf + 0 399.123 * * [simplify]: Extracting #3: cost 168 inf + 367 399.124 * * [simplify]: Extracting #4: cost 165 inf + 1178 399.125 * * [simplify]: Extracting #5: cost 164 inf + 1358 399.126 * * [simplify]: Extracting #6: cost 132 inf + 8138 399.129 * * [simplify]: Extracting #7: cost 107 inf + 13657 399.137 * * [simplify]: Extracting #8: cost 37 inf + 39612 399.151 * * [simplify]: Extracting #9: cost 0 inf + 53786 399.164 * * [simplify]: Extracting #10: cost 0 inf + 53561 399.179 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 399.180 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 399.180 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 399.180 * * [simplify]: iters left: 6 (17 enodes) 399.184 * * [simplify]: iters left: 5 (68 enodes) 399.196 * * [simplify]: iters left: 4 (127 enodes) 399.223 * * [simplify]: iters left: 3 (292 enodes) 399.329 * * [simplify]: Extracting #0: cost 1 inf + 0 399.329 * * [simplify]: Extracting #1: cost 0 inf + 1 399.329 * [simplify]: Simplified to 0 399.329 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 399.330 * * * * [progress]: [ 642 / 2246 ] simplifiying candidate # 399.330 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 399.330 * * [simplify]: iters left: 6 (23 enodes) 399.337 * * [simplify]: iters left: 5 (91 enodes) 399.354 * * [simplify]: iters left: 4 (155 enodes) 399.382 * * [simplify]: iters left: 3 (335 enodes) 399.481 * * [simplify]: Extracting #0: cost 1 inf + 0 399.481 * * [simplify]: Extracting #1: cost 13 inf + 0 399.481 * * [simplify]: Extracting #2: cost 102 inf + 0 399.482 * * [simplify]: Extracting #3: cost 165 inf + 328 399.482 * * [simplify]: Extracting #4: cost 162 inf + 1138 399.483 * * [simplify]: Extracting #5: cost 161 inf + 1358 399.485 * * [simplify]: Extracting #6: cost 131 inf + 7543 399.489 * * [simplify]: Extracting #7: cost 77 inf + 23288 399.499 * * [simplify]: Extracting #8: cost 6 inf + 50385 399.510 * * [simplify]: Extracting #9: cost 0 inf + 52180 399.522 * [simplify]: Simplified to (fma (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ (/ -1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 399.522 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ (/ -1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 399.522 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 399.522 * * [simplify]: iters left: 6 (18 enodes) 399.527 * * [simplify]: iters left: 5 (73 enodes) 399.539 * * [simplify]: iters left: 4 (112 enodes) 399.561 * * [simplify]: iters left: 3 (236 enodes) 399.634 * * [simplify]: Extracting #0: cost 1 inf + 0 399.634 * * [simplify]: Extracting #1: cost 20 inf + 0 399.634 * * [simplify]: Extracting #2: cost 95 inf + 1 399.635 * * [simplify]: Extracting #3: cost 118 inf + 4 399.635 * * [simplify]: Extracting #4: cost 111 inf + 1145 399.636 * * [simplify]: Extracting #5: cost 86 inf + 6974 399.638 * * [simplify]: Extracting #6: cost 75 inf + 9748 399.640 * * [simplify]: Extracting #7: cost 70 inf + 10597 399.646 * * [simplify]: Extracting #8: cost 17 inf + 29887 399.654 * * [simplify]: Extracting #9: cost 0 inf + 36382 399.663 * * [simplify]: Extracting #10: cost 0 inf + 36332 399.672 * [simplify]: Simplified to (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 399.672 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) 399.673 * * * * [progress]: [ 643 / 2246 ] simplifiying candidate # 399.673 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 399.673 * * [simplify]: iters left: 6 (23 enodes) 399.680 * * [simplify]: iters left: 5 (91 enodes) 399.698 * * [simplify]: iters left: 4 (155 enodes) 399.726 * * [simplify]: iters left: 3 (335 enodes) 399.823 * * [simplify]: Extracting #0: cost 1 inf + 0 399.823 * * [simplify]: Extracting #1: cost 13 inf + 0 399.823 * * [simplify]: Extracting #2: cost 102 inf + 0 399.824 * * [simplify]: Extracting #3: cost 165 inf + 328 399.825 * * [simplify]: Extracting #4: cost 162 inf + 1138 399.826 * * [simplify]: Extracting #5: cost 161 inf + 1358 399.827 * * [simplify]: Extracting #6: cost 131 inf + 7543 399.831 * * [simplify]: Extracting #7: cost 77 inf + 23288 399.842 * * [simplify]: Extracting #8: cost 6 inf + 50385 399.853 * * [simplify]: Extracting #9: cost 0 inf + 52180 399.865 * [simplify]: Simplified to (fma (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ (/ -1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 399.865 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ (/ (/ -1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 399.865 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 399.865 * * [simplify]: iters left: 6 (18 enodes) 399.871 * * [simplify]: iters left: 5 (73 enodes) 399.885 * * [simplify]: iters left: 4 (112 enodes) 399.905 * * [simplify]: iters left: 3 (236 enodes) 399.977 * * [simplify]: Extracting #0: cost 1 inf + 0 399.977 * * [simplify]: Extracting #1: cost 20 inf + 0 399.978 * * [simplify]: Extracting #2: cost 95 inf + 1 399.978 * * [simplify]: Extracting #3: cost 118 inf + 4 399.978 * * [simplify]: Extracting #4: cost 111 inf + 1145 399.980 * * [simplify]: Extracting #5: cost 86 inf + 6974 399.982 * * [simplify]: Extracting #6: cost 75 inf + 9748 399.983 * * [simplify]: Extracting #7: cost 70 inf + 10597 399.989 * * [simplify]: Extracting #8: cost 17 inf + 29887 399.998 * * [simplify]: Extracting #9: cost 0 inf + 36382 400.007 * * [simplify]: Extracting #10: cost 0 inf + 36332 400.016 * [simplify]: Simplified to (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 400.016 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) 400.016 * * * * [progress]: [ 644 / 2246 ] simplifiying candidate # 400.018 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 400.018 * * [simplify]: iters left: 6 (21 enodes) 400.024 * * [simplify]: iters left: 5 (82 enodes) 400.039 * * [simplify]: iters left: 4 (169 enodes) 400.073 * * [simplify]: iters left: 3 (375 enodes) 400.201 * * [simplify]: Extracting #0: cost 1 inf + 0 400.201 * * [simplify]: Extracting #1: cost 13 inf + 0 400.202 * * [simplify]: Extracting #2: cost 113 inf + 0 400.202 * * [simplify]: Extracting #3: cost 168 inf + 367 400.203 * * [simplify]: Extracting #4: cost 165 inf + 1178 400.204 * * [simplify]: Extracting #5: cost 164 inf + 1358 400.205 * * [simplify]: Extracting #6: cost 132 inf + 8138 400.208 * * [simplify]: Extracting #7: cost 107 inf + 13657 400.217 * * [simplify]: Extracting #8: cost 37 inf + 39612 400.230 * * [simplify]: Extracting #9: cost 0 inf + 53786 400.244 * * [simplify]: Extracting #10: cost 0 inf + 53561 400.257 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 400.257 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (cbrt (hypot 1 x))) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 400.258 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 400.258 * * [simplify]: iters left: 6 (17 enodes) 400.262 * * [simplify]: iters left: 5 (68 enodes) 400.276 * * [simplify]: iters left: 4 (127 enodes) 400.304 * * [simplify]: iters left: 3 (292 enodes) 400.411 * * [simplify]: Extracting #0: cost 1 inf + 0 400.412 * * [simplify]: Extracting #1: cost 0 inf + 1 400.412 * [simplify]: Simplified to 0 400.412 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 400.412 * * * * [progress]: [ 645 / 2246 ] simplifiying candidate # 400.412 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 400.412 * * [simplify]: iters left: 6 (22 enodes) 400.417 * * [simplify]: iters left: 5 (87 enodes) 400.433 * * [simplify]: iters left: 4 (193 enodes) 400.476 * * [simplify]: iters left: 3 (458 enodes) 400.646 * * [simplify]: Extracting #0: cost 1 inf + 0 400.646 * * [simplify]: Extracting #1: cost 13 inf + 0 400.646 * * [simplify]: Extracting #2: cost 157 inf + 0 400.648 * * [simplify]: Extracting #3: cost 289 inf + 409 400.649 * * [simplify]: Extracting #4: cost 287 inf + 1137 400.650 * * [simplify]: Extracting #5: cost 280 inf + 2100 400.652 * * [simplify]: Extracting #6: cost 262 inf + 5116 400.656 * * [simplify]: Extracting #7: cost 220 inf + 19559 400.680 * * [simplify]: Extracting #8: cost 38 inf + 102175 400.716 * * [simplify]: Extracting #9: cost 0 inf + 121114 400.749 * * [simplify]: Extracting #10: cost 0 inf + 120890 400.782 * * [simplify]: Extracting #11: cost 0 inf + 120866 400.816 * [simplify]: Simplified to (fma (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ -1/2 (* (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 400.817 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ -1/2 (* (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 400.817 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 400.817 * * [simplify]: iters left: 6 (18 enodes) 400.822 * * [simplify]: iters left: 5 (73 enodes) 400.834 * * [simplify]: iters left: 4 (149 enodes) 400.869 * * [simplify]: iters left: 3 (359 enodes) 401.018 * * [simplify]: Extracting #0: cost 1 inf + 0 401.018 * * [simplify]: Extracting #1: cost 0 inf + 1 401.018 * [simplify]: Simplified to 0 401.018 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 401.019 * * * * [progress]: [ 646 / 2246 ] simplifiying candidate # 401.019 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 401.019 * * [simplify]: iters left: 6 (21 enodes) 401.024 * * [simplify]: iters left: 5 (81 enodes) 401.040 * * [simplify]: iters left: 4 (163 enodes) 401.071 * * [simplify]: iters left: 3 (345 enodes) 401.178 * * [simplify]: Extracting #0: cost 1 inf + 0 401.179 * * [simplify]: Extracting #1: cost 13 inf + 0 401.179 * * [simplify]: Extracting #2: cost 130 inf + 0 401.180 * * [simplify]: Extracting #3: cost 207 inf + 368 401.180 * * [simplify]: Extracting #4: cost 204 inf + 1138 401.181 * * [simplify]: Extracting #5: cost 204 inf + 1300 401.184 * * [simplify]: Extracting #6: cost 164 inf + 11994 401.197 * * [simplify]: Extracting #7: cost 37 inf + 56219 401.218 * * [simplify]: Extracting #8: cost 0 inf + 71514 401.236 * [simplify]: Simplified to (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (sqrt (hypot 1 x))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (hypot 1 x))))) 401.236 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)) (/ (/ -1/2 (sqrt (hypot 1 x))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 401.236 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 401.237 * * [simplify]: iters left: 6 (17 enodes) 401.241 * * [simplify]: iters left: 5 (67 enodes) 401.252 * * [simplify]: iters left: 4 (121 enodes) 401.276 * * [simplify]: iters left: 3 (261 enodes) 401.365 * * [simplify]: Extracting #0: cost 1 inf + 0 401.365 * * [simplify]: Extracting #1: cost 0 inf + 1 401.365 * [simplify]: Simplified to 0 401.366 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 401.366 * * * * [progress]: [ 647 / 2246 ] simplifiying candidate # 401.366 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 401.366 * * [simplify]: iters left: 6 (20 enodes) 401.371 * * [simplify]: iters left: 5 (77 enodes) 401.385 * * [simplify]: iters left: 4 (149 enodes) 401.418 * * [simplify]: iters left: 3 (304 enodes) 401.511 * * [simplify]: Extracting #0: cost 1 inf + 0 401.511 * * [simplify]: Extracting #1: cost 13 inf + 0 401.511 * * [simplify]: Extracting #2: cost 99 inf + 0 401.512 * * [simplify]: Extracting #3: cost 130 inf + 650 401.512 * * [simplify]: Extracting #4: cost 128 inf + 1300 401.513 * * [simplify]: Extracting #5: cost 128 inf + 1358 401.514 * * [simplify]: Extracting #6: cost 107 inf + 4505 401.521 * * [simplify]: Extracting #7: cost 30 inf + 27400 401.530 * * [simplify]: Extracting #8: cost 1 inf + 37273 401.540 * * [simplify]: Extracting #9: cost 0 inf + 37857 401.549 * [simplify]: Simplified to (fma (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ -1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) 401.550 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ -1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))))) 401.550 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1))) 401.550 * * [simplify]: iters left: 6 (16 enodes) 401.554 * * [simplify]: iters left: 5 (63 enodes) 401.566 * * [simplify]: iters left: 4 (109 enodes) 401.589 * * [simplify]: iters left: 3 (230 enodes) 401.663 * * [simplify]: Extracting #0: cost 1 inf + 0 401.663 * * [simplify]: Extracting #1: cost 0 inf + 1 401.663 * [simplify]: Simplified to 0 401.663 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 0))) 401.663 * * * * [progress]: [ 648 / 2246 ] simplifiying candidate # 401.664 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 401.664 * * [simplify]: iters left: 6 (22 enodes) 401.670 * * [simplify]: iters left: 5 (86 enodes) 401.684 * * [simplify]: iters left: 4 (145 enodes) 401.711 * * [simplify]: iters left: 3 (303 enodes) 401.787 * * [simplify]: Extracting #0: cost 1 inf + 0 401.787 * * [simplify]: Extracting #1: cost 13 inf + 0 401.787 * * [simplify]: Extracting #2: cost 84 inf + 0 401.788 * * [simplify]: Extracting #3: cost 125 inf + 85 401.788 * * [simplify]: Extracting #4: cost 123 inf + 695 401.789 * * [simplify]: Extracting #5: cost 120 inf + 1197 401.789 * * [simplify]: Extracting #6: cost 102 inf + 4078 401.793 * * [simplify]: Extracting #7: cost 40 inf + 20864 401.801 * * [simplify]: Extracting #8: cost 3 inf + 33457 401.809 * * [simplify]: Extracting #9: cost 0 inf + 34203 401.817 * [simplify]: Simplified to (fma (cbrt 1/2) (/ (cbrt 1/2) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt 1/2))) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 401.817 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (cbrt 1/2) (/ (cbrt 1/2) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt 1/2))) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))))) 401.818 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)))) 401.818 * * [simplify]: iters left: 6 (17 enodes) 401.823 * * [simplify]: iters left: 5 (68 enodes) 401.834 * * [simplify]: iters left: 4 (102 enodes) 401.852 * * [simplify]: iters left: 3 (202 enodes) 401.905 * * [simplify]: iters left: 2 (433 enodes) 402.086 * * [simplify]: Extracting #0: cost 1 inf + 0 402.086 * * [simplify]: Extracting #1: cost 0 inf + 1 402.086 * [simplify]: Simplified to 0 402.086 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 402.086 * * * * [progress]: [ 649 / 2246 ] simplifiying candidate # 402.087 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 402.087 * * [simplify]: iters left: 6 (22 enodes) 402.093 * * [simplify]: iters left: 5 (86 enodes) 402.107 * * [simplify]: iters left: 4 (145 enodes) 402.133 * * [simplify]: iters left: 3 (303 enodes) 402.210 * * [simplify]: Extracting #0: cost 1 inf + 0 402.210 * * [simplify]: Extracting #1: cost 13 inf + 0 402.210 * * [simplify]: Extracting #2: cost 84 inf + 0 402.211 * * [simplify]: Extracting #3: cost 125 inf + 85 402.211 * * [simplify]: Extracting #4: cost 123 inf + 695 402.212 * * [simplify]: Extracting #5: cost 120 inf + 1197 402.213 * * [simplify]: Extracting #6: cost 102 inf + 4078 402.216 * * [simplify]: Extracting #7: cost 40 inf + 20864 402.224 * * [simplify]: Extracting #8: cost 3 inf + 33457 402.232 * * [simplify]: Extracting #9: cost 0 inf + 34203 402.241 * [simplify]: Simplified to (fma (cbrt 1/2) (/ (cbrt 1/2) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt 1/2))) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 402.241 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (cbrt 1/2) (/ (cbrt 1/2) (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt 1/2))) (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))))) 402.241 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)))) 402.241 * * [simplify]: iters left: 6 (17 enodes) 402.246 * * [simplify]: iters left: 5 (68 enodes) 402.258 * * [simplify]: iters left: 4 (102 enodes) 402.279 * * [simplify]: iters left: 3 (202 enodes) 402.330 * * [simplify]: iters left: 2 (433 enodes) 402.511 * * [simplify]: Extracting #0: cost 1 inf + 0 402.511 * * [simplify]: Extracting #1: cost 0 inf + 1 402.511 * [simplify]: Simplified to 0 402.511 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 402.511 * * * * [progress]: [ 650 / 2246 ] simplifiying candidate # 402.511 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 402.511 * * [simplify]: iters left: 6 (20 enodes) 402.516 * * [simplify]: iters left: 5 (77 enodes) 402.530 * * [simplify]: iters left: 4 (149 enodes) 402.564 * * [simplify]: iters left: 3 (304 enodes) 402.659 * * [simplify]: Extracting #0: cost 1 inf + 0 402.659 * * [simplify]: Extracting #1: cost 13 inf + 0 402.659 * * [simplify]: Extracting #2: cost 99 inf + 0 402.660 * * [simplify]: Extracting #3: cost 130 inf + 650 402.661 * * [simplify]: Extracting #4: cost 128 inf + 1300 402.661 * * [simplify]: Extracting #5: cost 128 inf + 1358 402.662 * * [simplify]: Extracting #6: cost 107 inf + 4505 402.668 * * [simplify]: Extracting #7: cost 30 inf + 27400 402.679 * * [simplify]: Extracting #8: cost 1 inf + 37273 402.688 * * [simplify]: Extracting #9: cost 0 inf + 37857 402.697 * [simplify]: Simplified to (fma (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ -1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) 402.697 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (cbrt 1/2) (/ (* (cbrt 1/2) (cbrt 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ -1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))))) 402.698 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1))) 402.698 * * [simplify]: iters left: 6 (16 enodes) 402.702 * * [simplify]: iters left: 5 (63 enodes) 402.713 * * [simplify]: iters left: 4 (109 enodes) 402.736 * * [simplify]: iters left: 3 (230 enodes) 402.810 * * [simplify]: Extracting #0: cost 1 inf + 0 402.811 * * [simplify]: Extracting #1: cost 0 inf + 1 402.811 * [simplify]: Simplified to 0 402.811 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 0))) 402.811 * * * * [progress]: [ 651 / 2246 ] simplifiying candidate # 402.811 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 402.811 * * [simplify]: iters left: 6 (20 enodes) 402.816 * * [simplify]: iters left: 5 (77 enodes) 402.830 * * [simplify]: iters left: 4 (165 enodes) 402.865 * * [simplify]: iters left: 3 (368 enodes) 402.991 * * [simplify]: Extracting #0: cost 1 inf + 0 402.991 * * [simplify]: Extracting #1: cost 13 inf + 0 402.992 * * [simplify]: Extracting #2: cost 124 inf + 0 402.992 * * [simplify]: Extracting #3: cost 181 inf + 569 402.993 * * [simplify]: Extracting #4: cost 172 inf + 1545 402.994 * * [simplify]: Extracting #5: cost 168 inf + 2139 402.997 * * [simplify]: Extracting #6: cost 136 inf + 13407 403.010 * * [simplify]: Extracting #7: cost 34 inf + 54205 403.027 * * [simplify]: Extracting #8: cost 0 inf + 68506 403.045 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 403.045 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 403.046 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 403.046 * * [simplify]: iters left: 6 (16 enodes) 403.050 * * [simplify]: iters left: 5 (63 enodes) 403.063 * * [simplify]: iters left: 4 (123 enodes) 403.089 * * [simplify]: iters left: 3 (281 enodes) 403.190 * * [simplify]: Extracting #0: cost 1 inf + 0 403.190 * * [simplify]: Extracting #1: cost 0 inf + 1 403.190 * [simplify]: Simplified to 0 403.190 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 403.190 * * * * [progress]: [ 652 / 2246 ] simplifiying candidate # 403.190 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 403.190 * * [simplify]: iters left: 6 (19 enodes) 403.195 * * [simplify]: iters left: 5 (72 enodes) 403.208 * * [simplify]: iters left: 4 (141 enodes) 403.236 * * [simplify]: iters left: 3 (276 enodes) 403.307 * * [simplify]: Extracting #0: cost 1 inf + 0 403.307 * * [simplify]: Extracting #1: cost 13 inf + 0 403.308 * * [simplify]: Extracting #2: cost 87 inf + 0 403.308 * * [simplify]: Extracting #3: cost 117 inf + 85 403.308 * * [simplify]: Extracting #4: cost 109 inf + 842 403.309 * * [simplify]: Extracting #5: cost 99 inf + 2317 403.310 * * [simplify]: Extracting #6: cost 89 inf + 4857 403.314 * * [simplify]: Extracting #7: cost 37 inf + 21725 403.322 * * [simplify]: Extracting #8: cost 4 inf + 32892 403.330 * * [simplify]: Extracting #9: cost 0 inf + 34406 403.338 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 403.338 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 403.339 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 403.339 * * [simplify]: iters left: 6 (15 enodes) 403.343 * * [simplify]: iters left: 5 (58 enodes) 403.352 * * [simplify]: iters left: 4 (101 enodes) 403.374 * * [simplify]: iters left: 3 (184 enodes) 403.417 * * [simplify]: iters left: 2 (365 enodes) 403.538 * * [simplify]: Extracting #0: cost 1 inf + 0 403.538 * * [simplify]: Extracting #1: cost 0 inf + 1 403.538 * [simplify]: Simplified to 0 403.538 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 403.538 * * * * [progress]: [ 653 / 2246 ] simplifiying candidate # 403.538 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 403.539 * * [simplify]: iters left: 6 (18 enodes) 403.544 * * [simplify]: iters left: 5 (66 enodes) 403.555 * * [simplify]: iters left: 4 (107 enodes) 403.572 * * [simplify]: iters left: 3 (172 enodes) 403.604 * * [simplify]: iters left: 2 (262 enodes) 403.658 * * [simplify]: iters left: 1 (413 enodes) 403.832 * * [simplify]: Extracting #0: cost 1 inf + 0 403.832 * * [simplify]: Extracting #1: cost 18 inf + 0 403.832 * * [simplify]: Extracting #2: cost 123 inf + 2 403.833 * * [simplify]: Extracting #3: cost 156 inf + 4 403.834 * * [simplify]: Extracting #4: cost 125 inf + 4361 403.836 * * [simplify]: Extracting #5: cost 102 inf + 8111 403.841 * * [simplify]: Extracting #6: cost 31 inf + 29171 403.852 * * [simplify]: Extracting #7: cost 0 inf + 38992 403.863 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 403.863 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))))) 403.863 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1))) 403.863 * * [simplify]: iters left: 6 (14 enodes) 403.867 * * [simplify]: iters left: 5 (51 enodes) 403.876 * * [simplify]: iters left: 4 (77 enodes) 403.891 * * [simplify]: iters left: 3 (112 enodes) 403.910 * * [simplify]: iters left: 2 (165 enodes) 403.935 * * [simplify]: iters left: 1 (238 enodes) 403.983 * * [simplify]: Extracting #0: cost 1 inf + 0 403.984 * * [simplify]: Extracting #1: cost 0 inf + 1 403.984 * [simplify]: Simplified to 0 403.984 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 403.984 * * * * [progress]: [ 654 / 2246 ] simplifiying candidate # 403.984 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 403.984 * * [simplify]: iters left: 6 (20 enodes) 403.991 * * [simplify]: iters left: 5 (76 enodes) 404.003 * * [simplify]: iters left: 4 (119 enodes) 404.024 * * [simplify]: iters left: 3 (191 enodes) 404.054 * * [simplify]: iters left: 2 (288 enodes) 404.121 * * [simplify]: iters left: 1 (451 enodes) 404.295 * * [simplify]: Extracting #0: cost 1 inf + 0 404.295 * * [simplify]: Extracting #1: cost 17 inf + 0 404.295 * * [simplify]: Extracting #2: cost 95 inf + 2 404.296 * * [simplify]: Extracting #3: cost 129 inf + 4 404.296 * * [simplify]: Extracting #4: cost 108 inf + 2685 404.298 * * [simplify]: Extracting #5: cost 86 inf + 6430 404.305 * * [simplify]: Extracting #6: cost 47 inf + 17066 404.313 * * [simplify]: Extracting #7: cost 4 inf + 31283 404.322 * * [simplify]: Extracting #8: cost 0 inf + 32462 404.332 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 404.332 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))))) 404.332 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1)))) 404.332 * * [simplify]: iters left: 6 (15 enodes) 404.337 * * [simplify]: iters left: 5 (58 enodes) 404.348 * * [simplify]: iters left: 4 (94 enodes) 404.363 * * [simplify]: iters left: 3 (132 enodes) 404.383 * * [simplify]: iters left: 2 (179 enodes) 404.417 * * [simplify]: iters left: 1 (300 enodes) 404.500 * * [simplify]: Extracting #0: cost 1 inf + 0 404.500 * * [simplify]: Extracting #1: cost 0 inf + 1 404.500 * [simplify]: Simplified to 0 404.500 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 404.500 * * * * [progress]: [ 655 / 2246 ] simplifiying candidate # 404.501 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 404.501 * * [simplify]: iters left: 6 (20 enodes) 404.507 * * [simplify]: iters left: 5 (76 enodes) 404.520 * * [simplify]: iters left: 4 (119 enodes) 404.539 * * [simplify]: iters left: 3 (191 enodes) 404.572 * * [simplify]: iters left: 2 (288 enodes) 404.638 * * [simplify]: iters left: 1 (451 enodes) 404.805 * * [simplify]: Extracting #0: cost 1 inf + 0 404.805 * * [simplify]: Extracting #1: cost 17 inf + 0 404.805 * * [simplify]: Extracting #2: cost 95 inf + 2 404.806 * * [simplify]: Extracting #3: cost 129 inf + 4 404.806 * * [simplify]: Extracting #4: cost 108 inf + 2685 404.808 * * [simplify]: Extracting #5: cost 86 inf + 6430 404.812 * * [simplify]: Extracting #6: cost 47 inf + 17066 404.820 * * [simplify]: Extracting #7: cost 4 inf + 31283 404.829 * * [simplify]: Extracting #8: cost 0 inf + 32462 404.840 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 404.840 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))))) 404.841 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1)))) 404.841 * * [simplify]: iters left: 6 (15 enodes) 404.846 * * [simplify]: iters left: 5 (58 enodes) 404.856 * * [simplify]: iters left: 4 (94 enodes) 404.870 * * [simplify]: iters left: 3 (132 enodes) 404.888 * * [simplify]: iters left: 2 (179 enodes) 404.923 * * [simplify]: iters left: 1 (300 enodes) 405.002 * * [simplify]: Extracting #0: cost 1 inf + 0 405.002 * * [simplify]: Extracting #1: cost 0 inf + 1 405.002 * [simplify]: Simplified to 0 405.002 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 405.002 * * * * [progress]: [ 656 / 2246 ] simplifiying candidate # 405.003 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 405.003 * * [simplify]: iters left: 6 (18 enodes) 405.007 * * [simplify]: iters left: 5 (66 enodes) 405.021 * * [simplify]: iters left: 4 (107 enodes) 405.037 * * [simplify]: iters left: 3 (172 enodes) 405.064 * * [simplify]: iters left: 2 (262 enodes) 405.118 * * [simplify]: iters left: 1 (413 enodes) 405.284 * * [simplify]: Extracting #0: cost 1 inf + 0 405.284 * * [simplify]: Extracting #1: cost 18 inf + 0 405.284 * * [simplify]: Extracting #2: cost 123 inf + 2 405.285 * * [simplify]: Extracting #3: cost 156 inf + 4 405.288 * * [simplify]: Extracting #4: cost 125 inf + 4361 405.289 * * [simplify]: Extracting #5: cost 102 inf + 8111 405.295 * * [simplify]: Extracting #6: cost 31 inf + 29171 405.305 * * [simplify]: Extracting #7: cost 0 inf + 38992 405.315 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 405.315 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))))) 405.316 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1))) 405.316 * * [simplify]: iters left: 6 (14 enodes) 405.319 * * [simplify]: iters left: 5 (51 enodes) 405.328 * * [simplify]: iters left: 4 (77 enodes) 405.339 * * [simplify]: iters left: 3 (112 enodes) 405.359 * * [simplify]: iters left: 2 (165 enodes) 405.382 * * [simplify]: iters left: 1 (238 enodes) 405.428 * * [simplify]: Extracting #0: cost 1 inf + 0 405.428 * * [simplify]: Extracting #1: cost 0 inf + 1 405.428 * [simplify]: Simplified to 0 405.428 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 405.428 * * * * [progress]: [ 657 / 2246 ] simplifiying candidate # 405.429 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 405.429 * * [simplify]: iters left: 6 (19 enodes) 405.433 * * [simplify]: iters left: 5 (76 enodes) 405.446 * * [simplify]: iters left: 4 (160 enodes) 405.477 * * [simplify]: iters left: 3 (345 enodes) 405.579 * * [simplify]: Extracting #0: cost 1 inf + 0 405.579 * * [simplify]: Extracting #1: cost 13 inf + 0 405.579 * * [simplify]: Extracting #2: cost 121 inf + 0 405.580 * * [simplify]: Extracting #3: cost 167 inf + 570 405.581 * * [simplify]: Extracting #4: cost 158 inf + 1651 405.582 * * [simplify]: Extracting #5: cost 153 inf + 2317 405.589 * * [simplify]: Extracting #6: cost 69 inf + 34581 405.604 * * [simplify]: Extracting #7: cost 0 inf + 63089 405.621 * * [simplify]: Extracting #8: cost 0 inf + 63088 405.638 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 405.638 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 405.638 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 405.638 * * [simplify]: iters left: 6 (15 enodes) 405.642 * * [simplify]: iters left: 5 (62 enodes) 405.652 * * [simplify]: iters left: 4 (118 enodes) 405.677 * * [simplify]: iters left: 3 (252 enodes) 405.749 * * [simplify]: Extracting #0: cost 1 inf + 0 405.749 * * [simplify]: Extracting #1: cost 0 inf + 1 405.749 * [simplify]: Simplified to 0 405.749 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 405.750 * * * * [progress]: [ 658 / 2246 ] simplifiying candidate # 405.750 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 405.750 * * [simplify]: iters left: 6 (18 enodes) 405.754 * * [simplify]: iters left: 5 (71 enodes) 405.767 * * [simplify]: iters left: 4 (138 enodes) 405.794 * * [simplify]: iters left: 3 (273 enodes) 405.863 * * [simplify]: Extracting #0: cost 1 inf + 0 405.863 * * [simplify]: Extracting #1: cost 13 inf + 0 405.863 * * [simplify]: Extracting #2: cost 94 inf + 0 405.864 * * [simplify]: Extracting #3: cost 123 inf + 408 405.864 * * [simplify]: Extracting #4: cost 114 inf + 1448 405.865 * * [simplify]: Extracting #5: cost 108 inf + 2317 405.866 * * [simplify]: Extracting #6: cost 99 inf + 4362 405.869 * * [simplify]: Extracting #7: cost 44 inf + 21969 405.877 * * [simplify]: Extracting #8: cost 2 inf + 36938 405.886 * * [simplify]: Extracting #9: cost 0 inf + 37654 405.895 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 405.895 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 405.895 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 405.895 * * [simplify]: iters left: 6 (14 enodes) 405.899 * * [simplify]: iters left: 5 (57 enodes) 405.908 * * [simplify]: iters left: 4 (98 enodes) 405.927 * * [simplify]: iters left: 3 (181 enodes) 405.971 * * [simplify]: iters left: 2 (360 enodes) 406.088 * * [simplify]: Extracting #0: cost 1 inf + 0 406.088 * * [simplify]: Extracting #1: cost 0 inf + 1 406.088 * [simplify]: Simplified to 0 406.088 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 406.088 * * * * [progress]: [ 659 / 2246 ] simplifiying candidate # 406.088 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 406.088 * * [simplify]: iters left: 6 (17 enodes) 406.092 * * [simplify]: iters left: 5 (65 enodes) 406.103 * * [simplify]: iters left: 4 (106 enodes) 406.120 * * [simplify]: iters left: 3 (171 enodes) 406.150 * * [simplify]: iters left: 2 (261 enodes) 406.203 * * [simplify]: iters left: 1 (412 enodes) 406.371 * * [simplify]: Extracting #0: cost 1 inf + 0 406.371 * * [simplify]: Extracting #1: cost 18 inf + 0 406.371 * * [simplify]: Extracting #2: cost 125 inf + 2 406.372 * * [simplify]: Extracting #3: cost 157 inf + 207 406.373 * * [simplify]: Extracting #4: cost 129 inf + 3974 406.374 * * [simplify]: Extracting #5: cost 102 inf + 8310 406.380 * * [simplify]: Extracting #6: cost 20 inf + 33296 406.391 * * [simplify]: Extracting #7: cost 0 inf + 39870 406.401 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 406.401 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))))) 406.402 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1))) 406.402 * * [simplify]: iters left: 6 (13 enodes) 406.407 * * [simplify]: iters left: 5 (50 enodes) 406.415 * * [simplify]: iters left: 4 (76 enodes) 406.427 * * [simplify]: iters left: 3 (111 enodes) 406.442 * * [simplify]: iters left: 2 (147 enodes) 406.466 * * [simplify]: iters left: 1 (234 enodes) 406.512 * * [simplify]: Extracting #0: cost 1 inf + 0 406.512 * * [simplify]: Extracting #1: cost 0 inf + 1 406.512 * [simplify]: Simplified to 0 406.512 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 406.512 * * * * [progress]: [ 660 / 2246 ] simplifiying candidate # 406.512 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 406.512 * * [simplify]: iters left: 6 (19 enodes) 406.519 * * [simplify]: iters left: 5 (76 enodes) 406.532 * * [simplify]: iters left: 4 (114 enodes) 406.549 * * [simplify]: iters left: 3 (183 enodes) 406.579 * * [simplify]: iters left: 2 (289 enodes) 406.643 * * [simplify]: iters left: 1 (466 enodes) 406.853 * * [simplify]: Extracting #0: cost 1 inf + 0 406.853 * * [simplify]: Extracting #1: cost 18 inf + 0 406.854 * * [simplify]: Extracting #2: cost 117 inf + 2 406.854 * * [simplify]: Extracting #3: cost 142 inf + 2313 406.856 * * [simplify]: Extracting #4: cost 133 inf + 3744 406.857 * * [simplify]: Extracting #5: cost 103 inf + 8329 406.862 * * [simplify]: Extracting #6: cost 39 inf + 27923 406.873 * * [simplify]: Extracting #7: cost 2 inf + 38823 406.883 * * [simplify]: Extracting #8: cost 0 inf + 39256 406.894 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 406.894 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))))) 406.894 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1)))) 406.894 * * [simplify]: iters left: 6 (14 enodes) 406.899 * * [simplify]: iters left: 5 (57 enodes) 406.909 * * [simplify]: iters left: 4 (93 enodes) 406.926 * * [simplify]: iters left: 3 (131 enodes) 406.944 * * [simplify]: iters left: 2 (178 enodes) 406.977 * * [simplify]: iters left: 1 (299 enodes) 407.057 * * [simplify]: Extracting #0: cost 1 inf + 0 407.057 * * [simplify]: Extracting #1: cost 0 inf + 1 407.057 * [simplify]: Simplified to 0 407.057 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 407.057 * * * * [progress]: [ 661 / 2246 ] simplifiying candidate # 407.058 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 407.058 * * [simplify]: iters left: 6 (19 enodes) 407.064 * * [simplify]: iters left: 5 (76 enodes) 407.075 * * [simplify]: iters left: 4 (114 enodes) 407.093 * * [simplify]: iters left: 3 (183 enodes) 407.125 * * [simplify]: iters left: 2 (289 enodes) 407.189 * * [simplify]: iters left: 1 (466 enodes) 407.397 * * [simplify]: Extracting #0: cost 1 inf + 0 407.398 * * [simplify]: Extracting #1: cost 18 inf + 0 407.398 * * [simplify]: Extracting #2: cost 117 inf + 2 407.399 * * [simplify]: Extracting #3: cost 142 inf + 2313 407.400 * * [simplify]: Extracting #4: cost 133 inf + 3744 407.401 * * [simplify]: Extracting #5: cost 103 inf + 8329 407.407 * * [simplify]: Extracting #6: cost 39 inf + 27923 407.419 * * [simplify]: Extracting #7: cost 2 inf + 38823 407.430 * * [simplify]: Extracting #8: cost 0 inf + 39256 407.440 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 407.440 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))))) 407.441 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1)))) 407.441 * * [simplify]: iters left: 6 (14 enodes) 407.445 * * [simplify]: iters left: 5 (57 enodes) 407.455 * * [simplify]: iters left: 4 (93 enodes) 407.469 * * [simplify]: iters left: 3 (131 enodes) 407.489 * * [simplify]: iters left: 2 (178 enodes) 407.522 * * [simplify]: iters left: 1 (299 enodes) 407.602 * * [simplify]: Extracting #0: cost 1 inf + 0 407.602 * * [simplify]: Extracting #1: cost 0 inf + 1 407.602 * [simplify]: Simplified to 0 407.602 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 407.602 * * * * [progress]: [ 662 / 2246 ] simplifiying candidate # 407.603 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 407.603 * * [simplify]: iters left: 6 (17 enodes) 407.607 * * [simplify]: iters left: 5 (65 enodes) 407.618 * * [simplify]: iters left: 4 (106 enodes) 407.634 * * [simplify]: iters left: 3 (171 enodes) 407.664 * * [simplify]: iters left: 2 (261 enodes) 407.715 * * [simplify]: iters left: 1 (412 enodes) 407.883 * * [simplify]: Extracting #0: cost 1 inf + 0 407.883 * * [simplify]: Extracting #1: cost 18 inf + 0 407.884 * * [simplify]: Extracting #2: cost 125 inf + 2 407.884 * * [simplify]: Extracting #3: cost 157 inf + 207 407.885 * * [simplify]: Extracting #4: cost 129 inf + 3974 407.887 * * [simplify]: Extracting #5: cost 102 inf + 8310 407.893 * * [simplify]: Extracting #6: cost 20 inf + 33296 407.903 * * [simplify]: Extracting #7: cost 0 inf + 39870 407.914 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 407.914 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))))) 407.914 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1))) 407.914 * * [simplify]: iters left: 6 (13 enodes) 407.918 * * [simplify]: iters left: 5 (50 enodes) 407.926 * * [simplify]: iters left: 4 (76 enodes) 407.939 * * [simplify]: iters left: 3 (111 enodes) 407.955 * * [simplify]: iters left: 2 (147 enodes) 407.978 * * [simplify]: iters left: 1 (234 enodes) 408.025 * * [simplify]: Extracting #0: cost 1 inf + 0 408.025 * * [simplify]: Extracting #1: cost 0 inf + 1 408.025 * [simplify]: Simplified to 0 408.025 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 408.025 * * * * [progress]: [ 663 / 2246 ] simplifiying candidate # 408.025 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 408.025 * * [simplify]: iters left: 6 (20 enodes) 408.030 * * [simplify]: iters left: 5 (79 enodes) 408.044 * * [simplify]: iters left: 4 (167 enodes) 408.076 * * [simplify]: iters left: 3 (334 enodes) 408.156 * * [simplify]: Extracting #0: cost 1 inf + 0 408.156 * * [simplify]: Extracting #1: cost 13 inf + 0 408.156 * * [simplify]: Extracting #2: cost 111 inf + 0 408.157 * * [simplify]: Extracting #3: cost 173 inf + 489 408.157 * * [simplify]: Extracting #4: cost 165 inf + 1431 408.158 * * [simplify]: Extracting #5: cost 155 inf + 2705 408.162 * * [simplify]: Extracting #6: cost 108 inf + 18759 408.175 * * [simplify]: Extracting #7: cost 14 inf + 56443 408.194 * * [simplify]: Extracting #8: cost 0 inf + 62375 408.211 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 408.211 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) (fma (- (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 408.211 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 408.211 * * [simplify]: iters left: 6 (16 enodes) 408.215 * * [simplify]: iters left: 5 (65 enodes) 408.226 * * [simplify]: iters left: 4 (125 enodes) 408.248 * * [simplify]: iters left: 3 (242 enodes) 408.304 * * [simplify]: Extracting #0: cost 1 inf + 0 408.304 * * [simplify]: Extracting #1: cost 0 inf + 1 408.304 * [simplify]: Simplified to 0 408.304 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 408.304 * * * * [progress]: [ 664 / 2246 ] simplifiying candidate # 408.305 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 408.305 * * [simplify]: iters left: 6 (19 enodes) 408.309 * * [simplify]: iters left: 5 (74 enodes) 408.324 * * [simplify]: iters left: 4 (143 enodes) 408.347 * * [simplify]: iters left: 3 (254 enodes) 408.402 * * [simplify]: Extracting #0: cost 1 inf + 0 408.402 * * [simplify]: Extracting #1: cost 13 inf + 0 408.402 * * [simplify]: Extracting #2: cost 90 inf + 0 408.402 * * [simplify]: Extracting #3: cost 131 inf + 85 408.403 * * [simplify]: Extracting #4: cost 123 inf + 883 408.404 * * [simplify]: Extracting #5: cost 107 inf + 3079 408.407 * * [simplify]: Extracting #6: cost 50 inf + 20879 408.415 * * [simplify]: Extracting #7: cost 1 inf + 37814 408.425 * * [simplify]: Extracting #8: cost 0 inf + 38112 408.434 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 408.434 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 408.434 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 408.434 * * [simplify]: iters left: 6 (15 enodes) 408.438 * * [simplify]: iters left: 5 (60 enodes) 408.447 * * [simplify]: iters left: 4 (103 enodes) 408.465 * * [simplify]: iters left: 3 (167 enodes) 408.500 * * [simplify]: iters left: 2 (361 enodes) 408.625 * * [simplify]: Extracting #0: cost 1 inf + 0 408.625 * * [simplify]: Extracting #1: cost 0 inf + 1 408.626 * [simplify]: Simplified to 0 408.626 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 408.627 * * * * [progress]: [ 665 / 2246 ] simplifiying candidate # 408.627 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 408.627 * * [simplify]: iters left: 6 (18 enodes) 408.632 * * [simplify]: iters left: 5 (68 enodes) 408.644 * * [simplify]: iters left: 4 (124 enodes) 408.662 * * [simplify]: iters left: 3 (204 enodes) 408.695 * * [simplify]: iters left: 2 (304 enodes) 408.750 * * [simplify]: iters left: 1 (413 enodes) 408.846 * * [simplify]: Extracting #0: cost 1 inf + 0 408.847 * * [simplify]: Extracting #1: cost 20 inf + 0 408.847 * * [simplify]: Extracting #2: cost 103 inf + 2 408.847 * * [simplify]: Extracting #3: cost 129 inf + 208 408.848 * * [simplify]: Extracting #4: cost 120 inf + 1789 408.849 * * [simplify]: Extracting #5: cost 91 inf + 6509 408.855 * * [simplify]: Extracting #6: cost 24 inf + 26750 408.864 * * [simplify]: Extracting #7: cost 0 inf + 33833 408.873 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 408.873 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))))) 408.873 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1))) 408.873 * * [simplify]: iters left: 6 (14 enodes) 408.877 * * [simplify]: iters left: 5 (53 enodes) 408.885 * * [simplify]: iters left: 4 (92 enodes) 408.898 * * [simplify]: iters left: 3 (137 enodes) 408.918 * * [simplify]: iters left: 2 (188 enodes) 408.945 * * [simplify]: iters left: 1 (283 enodes) 408.990 * * [simplify]: Extracting #0: cost 1 inf + 0 408.990 * * [simplify]: Extracting #1: cost 0 inf + 1 408.990 * [simplify]: Simplified to 0 408.990 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 408.991 * * * * [progress]: [ 666 / 2246 ] simplifiying candidate # 408.991 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 408.991 * * [simplify]: iters left: 6 (20 enodes) 408.997 * * [simplify]: iters left: 5 (78 enodes) 409.010 * * [simplify]: iters left: 4 (131 enodes) 409.030 * * [simplify]: iters left: 3 (219 enodes) 409.069 * * [simplify]: iters left: 2 (345 enodes) 409.138 * * [simplify]: iters left: 1 (465 enodes) 409.264 * * [simplify]: Extracting #0: cost 1 inf + 0 409.265 * * [simplify]: Extracting #1: cost 21 inf + 0 409.265 * * [simplify]: Extracting #2: cost 103 inf + 2 409.265 * * [simplify]: Extracting #3: cost 132 inf + 288 409.266 * * [simplify]: Extracting #4: cost 117 inf + 2979 409.267 * * [simplify]: Extracting #5: cost 84 inf + 8219 409.271 * * [simplify]: Extracting #6: cost 45 inf + 19112 409.280 * * [simplify]: Extracting #7: cost 3 inf + 32657 409.289 * * [simplify]: Extracting #8: cost 0 inf + 33697 409.299 * [simplify]: Simplified to (* (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1/2 (/ 1/2 (hypot 1 x)))) 409.299 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1/2 (/ 1/2 (hypot 1 x)))) (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))))) 409.299 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1)))) 409.299 * * [simplify]: iters left: 6 (15 enodes) 409.305 * * [simplify]: iters left: 5 (60 enodes) 409.314 * * [simplify]: iters left: 4 (93 enodes) 409.328 * * [simplify]: iters left: 3 (149 enodes) 409.351 * * [simplify]: iters left: 2 (229 enodes) 409.390 * * [simplify]: iters left: 1 (341 enodes) 409.465 * * [simplify]: Extracting #0: cost 1 inf + 0 409.465 * * [simplify]: Extracting #1: cost 0 inf + 1 409.465 * [simplify]: Simplified to 0 409.465 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (* (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1/2 (/ 1/2 (hypot 1 x)))) 0))) 409.465 * * * * [progress]: [ 667 / 2246 ] simplifiying candidate # 409.465 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 409.465 * * [simplify]: iters left: 6 (20 enodes) 409.472 * * [simplify]: iters left: 5 (78 enodes) 409.484 * * [simplify]: iters left: 4 (131 enodes) 409.504 * * [simplify]: iters left: 3 (219 enodes) 409.544 * * [simplify]: iters left: 2 (345 enodes) 409.613 * * [simplify]: iters left: 1 (465 enodes) 409.740 * * [simplify]: Extracting #0: cost 1 inf + 0 409.740 * * [simplify]: Extracting #1: cost 21 inf + 0 409.740 * * [simplify]: Extracting #2: cost 103 inf + 2 409.740 * * [simplify]: Extracting #3: cost 132 inf + 288 409.741 * * [simplify]: Extracting #4: cost 117 inf + 2979 409.743 * * [simplify]: Extracting #5: cost 84 inf + 8219 409.746 * * [simplify]: Extracting #6: cost 45 inf + 19112 409.755 * * [simplify]: Extracting #7: cost 3 inf + 32657 409.764 * * [simplify]: Extracting #8: cost 0 inf + 33697 409.774 * [simplify]: Simplified to (* (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1/2 (/ 1/2 (hypot 1 x)))) 409.774 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1/2 (/ 1/2 (hypot 1 x)))) (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))))) 409.774 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1)))) 409.774 * * [simplify]: iters left: 6 (15 enodes) 409.780 * * [simplify]: iters left: 5 (60 enodes) 409.790 * * [simplify]: iters left: 4 (93 enodes) 409.804 * * [simplify]: iters left: 3 (149 enodes) 409.827 * * [simplify]: iters left: 2 (229 enodes) 409.865 * * [simplify]: iters left: 1 (341 enodes) 409.941 * * [simplify]: Extracting #0: cost 1 inf + 0 409.941 * * [simplify]: Extracting #1: cost 0 inf + 1 409.941 * [simplify]: Simplified to 0 409.941 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (* (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1/2 (/ 1/2 (hypot 1 x)))) 0))) 409.942 * * * * [progress]: [ 668 / 2246 ] simplifiying candidate # 409.942 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 409.942 * * [simplify]: iters left: 6 (18 enodes) 409.946 * * [simplify]: iters left: 5 (68 enodes) 409.958 * * [simplify]: iters left: 4 (124 enodes) 409.976 * * [simplify]: iters left: 3 (204 enodes) 410.009 * * [simplify]: iters left: 2 (304 enodes) 410.063 * * [simplify]: iters left: 1 (413 enodes) 410.160 * * [simplify]: Extracting #0: cost 1 inf + 0 410.160 * * [simplify]: Extracting #1: cost 20 inf + 0 410.160 * * [simplify]: Extracting #2: cost 103 inf + 2 410.161 * * [simplify]: Extracting #3: cost 129 inf + 208 410.161 * * [simplify]: Extracting #4: cost 120 inf + 1789 410.163 * * [simplify]: Extracting #5: cost 91 inf + 6509 410.168 * * [simplify]: Extracting #6: cost 24 inf + 26750 410.177 * * [simplify]: Extracting #7: cost 0 inf + 33833 410.186 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 410.186 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))))) 410.187 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1))) 410.187 * * [simplify]: iters left: 6 (14 enodes) 410.190 * * [simplify]: iters left: 5 (53 enodes) 410.199 * * [simplify]: iters left: 4 (92 enodes) 410.212 * * [simplify]: iters left: 3 (137 enodes) 410.232 * * [simplify]: iters left: 2 (188 enodes) 410.258 * * [simplify]: iters left: 1 (283 enodes) 410.304 * * [simplify]: Extracting #0: cost 1 inf + 0 410.304 * * [simplify]: Extracting #1: cost 0 inf + 1 410.304 * [simplify]: Simplified to 0 410.304 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 410.304 * * * * [progress]: [ 669 / 2246 ] simplifiying candidate # 410.304 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))) 410.305 * * [simplify]: iters left: 6 (16 enodes) 410.309 * * [simplify]: iters left: 5 (62 enodes) 410.319 * * [simplify]: iters left: 4 (107 enodes) 410.337 * * [simplify]: iters left: 3 (180 enodes) 410.367 * * [simplify]: iters left: 2 (265 enodes) 410.425 * * [simplify]: iters left: 1 (424 enodes) 410.586 * * [simplify]: Extracting #0: cost 1 inf + 0 410.586 * * [simplify]: Extracting #1: cost 18 inf + 0 410.587 * * [simplify]: Extracting #2: cost 124 inf + 2 410.587 * * [simplify]: Extracting #3: cost 142 inf + 1704 410.588 * * [simplify]: Extracting #4: cost 124 inf + 4262 410.590 * * [simplify]: Extracting #5: cost 105 inf + 7262 410.595 * * [simplify]: Extracting #6: cost 21 inf + 32006 410.605 * * [simplify]: Extracting #7: cost 0 inf + 38517 410.615 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 410.615 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1 (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))))) 410.616 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1 (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1)) 410.616 * * [simplify]: iters left: 6 (12 enodes) 410.619 * * [simplify]: iters left: 5 (47 enodes) 410.627 * * [simplify]: iters left: 4 (79 enodes) 410.641 * * [simplify]: iters left: 3 (107 enodes) 410.661 * * [simplify]: iters left: 2 (167 enodes) 410.686 * * [simplify]: iters left: 1 (239 enodes) 410.732 * * [simplify]: Extracting #0: cost 1 inf + 0 410.732 * * [simplify]: Extracting #1: cost 0 inf + 1 410.732 * [simplify]: Simplified to 0 410.732 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 410.732 * * * * [progress]: [ 670 / 2246 ] simplifiying candidate # 410.733 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))) 410.733 * * [simplify]: iters left: 6 (16 enodes) 410.737 * * [simplify]: iters left: 5 (63 enodes) 410.748 * * [simplify]: iters left: 4 (117 enodes) 410.769 * * [simplify]: iters left: 3 (200 enodes) 410.806 * * [simplify]: iters left: 2 (329 enodes) 410.889 * * [simplify]: Extracting #0: cost 1 inf + 0 410.889 * * [simplify]: Extracting #1: cost 13 inf + 0 410.889 * * [simplify]: Extracting #2: cost 67 inf + 0 410.890 * * [simplify]: Extracting #3: cost 101 inf + 85 410.890 * * [simplify]: Extracting #4: cost 93 inf + 1328 410.891 * * [simplify]: Extracting #5: cost 70 inf + 4418 410.895 * * [simplify]: Extracting #6: cost 24 inf + 16591 410.901 * * [simplify]: Extracting #7: cost 0 inf + 23900 410.908 * * [simplify]: Extracting #8: cost 0 inf + 23725 410.914 * [simplify]: Simplified to (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 410.914 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (hypot 1 x)) (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))))) 410.914 * [simplify]: Simplifying (fma (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (hypot 1 x)) (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x)))) 410.914 * * [simplify]: iters left: 6 (12 enodes) 410.918 * * [simplify]: iters left: 5 (50 enodes) 410.926 * * [simplify]: iters left: 4 (76 enodes) 410.938 * * [simplify]: iters left: 3 (143 enodes) 410.968 * * [simplify]: iters left: 2 (233 enodes) 411.013 * * [simplify]: iters left: 1 (369 enodes) 411.096 * * [simplify]: Extracting #0: cost 1 inf + 0 411.096 * * [simplify]: Extracting #1: cost 0 inf + 1 411.096 * [simplify]: Simplified to 0 411.096 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0))) 411.096 * * * * [progress]: [ 671 / 2246 ] simplifiying candidate # 411.097 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 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))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))) 411.097 * * [simplify]: iters left: 6 (25 enodes) 411.104 * * [simplify]: iters left: 5 (103 enodes) 411.127 * * [simplify]: iters left: 4 (258 enodes) 411.192 * * [simplify]: Extracting #0: cost 1 inf + 0 411.192 * * [simplify]: Extracting #1: cost 13 inf + 0 411.192 * * [simplify]: Extracting #2: cost 114 inf + 0 411.192 * * [simplify]: Extracting #3: cost 184 inf + 368 411.194 * * [simplify]: Extracting #4: cost 158 inf + 6581 411.200 * * [simplify]: Extracting #5: cost 60 inf + 34447 411.211 * * [simplify]: Extracting #6: cost 6 inf + 52947 411.223 * * [simplify]: Extracting #7: cost 1 inf + 54956 411.234 * * [simplify]: Extracting #8: cost 0 inf + 55345 411.246 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (fma (- (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 411.246 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (fma (- (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (fma (- (+ (* 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 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (* (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))))) 411.246 * [simplify]: Simplifying (fma (- (+ (* 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 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (* (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))))) 411.247 * * [simplify]: iters left: 6 (20 enodes) 411.253 * * [simplify]: iters left: 5 (87 enodes) 411.272 * * [simplify]: iters left: 4 (224 enodes) 411.335 * * [simplify]: Extracting #0: cost 1 inf + 0 411.335 * * [simplify]: Extracting #1: cost 14 inf + 0 411.336 * * [simplify]: Extracting #2: cost 116 inf + 0 411.336 * * [simplify]: Extracting #3: cost 173 inf + 989 411.339 * * [simplify]: Extracting #4: cost 109 inf + 16215 411.348 * * [simplify]: Extracting #5: cost 31 inf + 40092 411.358 * * [simplify]: Extracting #6: cost 1 inf + 50253 411.370 * * [simplify]: Extracting #7: cost 0 inf + 50642 411.381 * [simplify]: Simplified to (- (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 411.381 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 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))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))) (- (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))))) 411.381 * * * * [progress]: [ 672 / 2246 ] simplifiying candidate # 411.381 * [simplify]: Simplifying (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 411.382 * * [simplify]: iters left: 6 (20 enodes) 411.387 * * [simplify]: iters left: 5 (76 enodes) 411.399 * * [simplify]: iters left: 4 (149 enodes) 411.428 * * [simplify]: iters left: 3 (320 enodes) 411.499 * * [simplify]: Extracting #0: cost 1 inf + 0 411.499 * * [simplify]: Extracting #1: cost 19 inf + 0 411.500 * * [simplify]: Extracting #2: cost 119 inf + 0 411.500 * * [simplify]: Extracting #3: cost 168 inf + 570 411.501 * * [simplify]: Extracting #4: cost 180 inf + 1594 411.502 * * [simplify]: Extracting #5: cost 143 inf + 6803 411.506 * * [simplify]: Extracting #6: cost 88 inf + 19998 411.515 * * [simplify]: Extracting #7: cost 16 inf + 41850 411.526 * * [simplify]: Extracting #8: cost 0 inf + 46922 411.536 * [simplify]: Simplified to (fma (+ -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)))) 411.536 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (+ -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (* (/ (cbrt 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt 1/2) (cbrt 1/2)))) (fma (- (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 411.537 * [simplify]: Simplifying (fma (- (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 411.537 * * [simplify]: iters left: 6 (15 enodes) 411.541 * * [simplify]: iters left: 5 (56 enodes) 411.552 * * [simplify]: iters left: 4 (109 enodes) 411.573 * * [simplify]: iters left: 3 (271 enodes) 411.637 * * [simplify]: Extracting #0: cost 1 inf + 0 411.637 * * [simplify]: Extracting #1: cost 0 inf + 1 411.637 * [simplify]: Simplified to 0 411.637 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 411.637 * * * * [progress]: [ 673 / 2246 ] simplifiying candidate # 411.638 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 411.638 * * [simplify]: iters left: 6 (19 enodes) 411.642 * * [simplify]: iters left: 5 (73 enodes) 411.653 * * [simplify]: iters left: 4 (106 enodes) 411.670 * * [simplify]: iters left: 3 (163 enodes) 411.697 * * [simplify]: iters left: 2 (232 enodes) 411.732 * * [simplify]: iters left: 1 (332 enodes) 411.787 * * [simplify]: Extracting #0: cost 1 inf + 0 411.787 * * [simplify]: Extracting #1: cost 11 inf + 0 411.787 * * [simplify]: Extracting #2: cost 69 inf + 0 411.788 * * [simplify]: Extracting #3: cost 113 inf + 45 411.788 * * [simplify]: Extracting #4: cost 113 inf + 302 411.789 * * [simplify]: Extracting #5: cost 106 inf + 1727 411.791 * * [simplify]: Extracting #6: cost 75 inf + 11677 411.795 * * [simplify]: Extracting #7: cost 54 inf + 20496 411.803 * * [simplify]: Extracting #8: cost 17 inf + 46276 411.813 * * [simplify]: Extracting #9: cost 1 inf + 60160 411.825 * * [simplify]: Extracting #10: cost 0 inf + 61091 411.836 * [simplify]: Simplified to (- (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 411.836 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 411.836 * [simplify]: Simplifying (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 411.836 * * [simplify]: iters left: 6 (14 enodes) 411.840 * * [simplify]: iters left: 5 (53 enodes) 411.848 * * [simplify]: iters left: 4 (76 enodes) 411.861 * * [simplify]: iters left: 3 (134 enodes) 411.882 * * [simplify]: iters left: 2 (194 enodes) 411.914 * * [simplify]: iters left: 1 (293 enodes) 411.960 * * [simplify]: Extracting #0: cost 1 inf + 0 411.960 * * [simplify]: Extracting #1: cost 0 inf + 1 411.960 * [simplify]: Simplified to 0 411.961 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 411.961 * * * * [progress]: [ 674 / 2246 ] simplifiying candidate # 411.961 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 411.961 * * [simplify]: iters left: 6 (18 enodes) 411.965 * * [simplify]: iters left: 5 (64 enodes) 411.974 * * [simplify]: iters left: 4 (90 enodes) 411.987 * * [simplify]: iters left: 3 (127 enodes) 412.004 * * [simplify]: iters left: 2 (155 enodes) 412.026 * * [simplify]: iters left: 1 (198 enodes) 412.053 * * [simplify]: Extracting #0: cost 1 inf + 0 412.053 * * [simplify]: Extracting #1: cost 9 inf + 0 412.053 * * [simplify]: Extracting #2: cost 37 inf + 0 412.053 * * [simplify]: Extracting #3: cost 54 inf + 44 412.054 * * [simplify]: Extracting #4: cost 48 inf + 593 412.054 * * [simplify]: Extracting #5: cost 44 inf + 1724 412.056 * * [simplify]: Extracting #6: cost 17 inf + 10195 412.059 * * [simplify]: Extracting #7: cost 1 inf + 16218 412.063 * * [simplify]: Extracting #8: cost 0 inf + 16540 412.067 * [simplify]: Simplified to (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 412.067 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 412.067 * [simplify]: Simplifying (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 412.067 * * [simplify]: iters left: 6 (13 enodes) 412.070 * * [simplify]: iters left: 5 (45 enodes) 412.077 * * [simplify]: iters left: 4 (60 enodes) 412.085 * * [simplify]: iters left: 3 (85 enodes) 412.098 * * [simplify]: iters left: 2 (102 enodes) 412.111 * * [simplify]: iters left: 1 (126 enodes) 412.127 * * [simplify]: Extracting #0: cost 1 inf + 0 412.127 * * [simplify]: Extracting #1: cost 0 inf + 1 412.127 * [simplify]: Simplified to 0 412.127 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 412.127 * * * * [progress]: [ 675 / 2246 ] simplifiying candidate # 412.127 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))) 412.127 * * [simplify]: iters left: 6 (20 enodes) 412.132 * * [simplify]: iters left: 5 (81 enodes) 412.145 * * [simplify]: iters left: 4 (166 enodes) 412.181 * * [simplify]: iters left: 3 (340 enodes) 412.248 * * [simplify]: Extracting #0: cost 1 inf + 0 412.248 * * [simplify]: Extracting #1: cost 11 inf + 0 412.249 * * [simplify]: Extracting #2: cost 74 inf + 0 412.249 * * [simplify]: Extracting #3: cost 122 inf + 1 412.249 * * [simplify]: Extracting #4: cost 122 inf + 86 412.250 * * [simplify]: Extracting #5: cost 115 inf + 714 412.251 * * [simplify]: Extracting #6: cost 102 inf + 3839 412.256 * * [simplify]: Extracting #7: cost 35 inf + 32049 412.267 * * [simplify]: Extracting #8: cost 1 inf + 47432 412.279 * * [simplify]: Extracting #9: cost 0 inf + 47850 412.291 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 412.291 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))))) 412.292 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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)))))))) 412.292 * * [simplify]: iters left: 6 (17 enodes) 412.296 * * [simplify]: iters left: 5 (69 enodes) 412.309 * * [simplify]: iters left: 4 (135 enodes) 412.337 * * [simplify]: iters left: 3 (301 enodes) 412.401 * * [simplify]: Extracting #0: cost 1 inf + 0 412.401 * * [simplify]: Extracting #1: cost 0 inf + 1 412.401 * [simplify]: Simplified to 0 412.401 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))) 0))) 412.401 * * * * [progress]: [ 676 / 2246 ] simplifiying candidate # 412.402 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 412.402 * * [simplify]: iters left: 6 (21 enodes) 412.407 * * [simplify]: iters left: 5 (81 enodes) 412.419 * * [simplify]: iters left: 4 (135 enodes) 412.443 * * [simplify]: iters left: 3 (221 enodes) 412.477 * * [simplify]: iters left: 2 (309 enodes) 412.530 * * [simplify]: iters left: 1 (398 enodes) 412.599 * * [simplify]: Extracting #0: cost 1 inf + 0 412.599 * * [simplify]: Extracting #1: cost 11 inf + 0 412.599 * * [simplify]: Extracting #2: cost 69 inf + 0 412.600 * * [simplify]: Extracting #3: cost 122 inf + 43 412.600 * * [simplify]: Extracting #4: cost 116 inf + 399 412.601 * * [simplify]: Extracting #5: cost 109 inf + 1686 412.604 * * [simplify]: Extracting #6: cost 55 inf + 20333 412.612 * * [simplify]: Extracting #7: cost 7 inf + 42159 412.623 * * [simplify]: Extracting #8: cost 0 inf + 45047 412.632 * [simplify]: Simplified to (- (/ 1/2 (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 412.632 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 412.633 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 412.633 * * [simplify]: iters left: 6 (16 enodes) 412.637 * * [simplify]: iters left: 5 (63 enodes) 412.646 * * [simplify]: iters left: 4 (100 enodes) 412.662 * * [simplify]: iters left: 3 (175 enodes) 412.694 * * [simplify]: iters left: 2 (267 enodes) 412.736 * * [simplify]: iters left: 1 (373 enodes) 412.801 * * [simplify]: Extracting #0: cost 1 inf + 0 412.801 * * [simplify]: Extracting #1: cost 0 inf + 1 412.801 * [simplify]: Simplified to 0 412.801 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 412.802 * * * * [progress]: [ 677 / 2246 ] simplifiying candidate # 412.802 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 412.802 * * [simplify]: iters left: 6 (20 enodes) 412.808 * * [simplify]: iters left: 5 (76 enodes) 412.821 * * [simplify]: iters left: 4 (136 enodes) 412.845 * * [simplify]: iters left: 3 (244 enodes) 412.900 * * [simplify]: iters left: 2 (419 enodes) 413.006 * * [simplify]: Extracting #0: cost 1 inf + 0 413.006 * * [simplify]: Extracting #1: cost 13 inf + 0 413.007 * * [simplify]: Extracting #2: cost 76 inf + 0 413.007 * * [simplify]: Extracting #3: cost 131 inf + 44 413.007 * * [simplify]: Extracting #4: cost 130 inf + 146 413.008 * * [simplify]: Extracting #5: cost 122 inf + 1130 413.010 * * [simplify]: Extracting #6: cost 76 inf + 16646 413.017 * * [simplify]: Extracting #7: cost 14 inf + 42699 413.027 * * [simplify]: Extracting #8: cost 0 inf + 49210 413.036 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 413.036 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))))) 413.037 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1))) 413.037 * * [simplify]: iters left: 6 (15 enodes) 413.041 * * [simplify]: iters left: 5 (58 enodes) 413.052 * * [simplify]: iters left: 4 (100 enodes) 413.070 * * [simplify]: iters left: 3 (192 enodes) 413.113 * * [simplify]: iters left: 2 (333 enodes) 413.192 * * [simplify]: Extracting #0: cost 1 inf + 0 413.192 * * [simplify]: Extracting #1: cost 0 inf + 1 413.192 * [simplify]: Simplified to 0 413.192 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 0))) 413.192 * * * * [progress]: [ 678 / 2246 ] simplifiying candidate # 413.192 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 413.192 * * [simplify]: iters left: 6 (22 enodes) 413.198 * * [simplify]: iters left: 5 (85 enodes) 413.210 * * [simplify]: iters left: 4 (129 enodes) 413.231 * * [simplify]: iters left: 3 (228 enodes) 413.275 * * [simplify]: iters left: 2 (359 enodes) 413.349 * * [simplify]: iters left: 1 (477 enodes) 413.449 * * [simplify]: Extracting #0: cost 1 inf + 0 413.449 * * [simplify]: Extracting #1: cost 11 inf + 0 413.449 * * [simplify]: Extracting #2: cost 62 inf + 0 413.449 * * [simplify]: Extracting #3: cost 121 inf + 44 413.450 * * [simplify]: Extracting #4: cost 120 inf + 203 413.450 * * [simplify]: Extracting #5: cost 115 inf + 814 413.452 * * [simplify]: Extracting #6: cost 84 inf + 10740 413.459 * * [simplify]: Extracting #7: cost 11 inf + 40519 413.470 * * [simplify]: Extracting #8: cost 0 inf + 45630 413.479 * * [simplify]: Extracting #9: cost 0 inf + 45535 413.488 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 413.488 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))))) 413.488 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)))) 413.488 * * [simplify]: iters left: 6 (16 enodes) 413.493 * * [simplify]: iters left: 5 (63 enodes) 413.503 * * [simplify]: iters left: 4 (94 enodes) 413.519 * * [simplify]: iters left: 3 (179 enodes) 413.558 * * [simplify]: iters left: 2 (303 enodes) 413.622 * * [simplify]: iters left: 1 (423 enodes) 413.724 * * [simplify]: Extracting #0: cost 1 inf + 0 413.724 * * [simplify]: Extracting #1: cost 0 inf + 1 413.725 * [simplify]: Simplified to 0 413.725 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 0))) 413.725 * * * * [progress]: [ 679 / 2246 ] simplifiying candidate # 413.725 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 413.725 * * [simplify]: iters left: 6 (22 enodes) 413.731 * * [simplify]: iters left: 5 (85 enodes) 413.743 * * [simplify]: iters left: 4 (129 enodes) 413.764 * * [simplify]: iters left: 3 (228 enodes) 413.809 * * [simplify]: iters left: 2 (359 enodes) 413.884 * * [simplify]: iters left: 1 (477 enodes) 413.984 * * [simplify]: Extracting #0: cost 1 inf + 0 413.984 * * [simplify]: Extracting #1: cost 11 inf + 0 413.984 * * [simplify]: Extracting #2: cost 62 inf + 0 413.984 * * [simplify]: Extracting #3: cost 121 inf + 44 413.985 * * [simplify]: Extracting #4: cost 120 inf + 203 413.985 * * [simplify]: Extracting #5: cost 115 inf + 814 413.987 * * [simplify]: Extracting #6: cost 84 inf + 10740 413.994 * * [simplify]: Extracting #7: cost 11 inf + 40519 414.003 * * [simplify]: Extracting #8: cost 0 inf + 45630 414.012 * * [simplify]: Extracting #9: cost 0 inf + 45535 414.023 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 414.023 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))))) 414.023 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)))) 414.023 * * [simplify]: iters left: 6 (16 enodes) 414.028 * * [simplify]: iters left: 5 (63 enodes) 414.037 * * [simplify]: iters left: 4 (94 enodes) 414.052 * * [simplify]: iters left: 3 (179 enodes) 414.090 * * [simplify]: iters left: 2 (303 enodes) 414.154 * * [simplify]: iters left: 1 (423 enodes) 414.254 * * [simplify]: Extracting #0: cost 1 inf + 0 414.254 * * [simplify]: Extracting #1: cost 0 inf + 1 414.254 * [simplify]: Simplified to 0 414.254 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 0))) 414.254 * * * * [progress]: [ 680 / 2246 ] simplifiying candidate # 414.255 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 414.255 * * [simplify]: iters left: 6 (20 enodes) 414.259 * * [simplify]: iters left: 5 (76 enodes) 414.272 * * [simplify]: iters left: 4 (136 enodes) 414.295 * * [simplify]: iters left: 3 (244 enodes) 414.350 * * [simplify]: iters left: 2 (419 enodes) 414.455 * * [simplify]: Extracting #0: cost 1 inf + 0 414.455 * * [simplify]: Extracting #1: cost 13 inf + 0 414.455 * * [simplify]: Extracting #2: cost 76 inf + 0 414.456 * * [simplify]: Extracting #3: cost 131 inf + 44 414.456 * * [simplify]: Extracting #4: cost 130 inf + 146 414.457 * * [simplify]: Extracting #5: cost 122 inf + 1130 414.459 * * [simplify]: Extracting #6: cost 76 inf + 16646 414.466 * * [simplify]: Extracting #7: cost 14 inf + 42699 414.475 * * [simplify]: Extracting #8: cost 0 inf + 49210 414.487 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 414.487 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))))) 414.487 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1))) 414.487 * * [simplify]: iters left: 6 (15 enodes) 414.491 * * [simplify]: iters left: 5 (58 enodes) 414.500 * * [simplify]: iters left: 4 (100 enodes) 414.518 * * [simplify]: iters left: 3 (192 enodes) 414.561 * * [simplify]: iters left: 2 (333 enodes) 414.639 * * [simplify]: Extracting #0: cost 1 inf + 0 414.639 * * [simplify]: Extracting #1: cost 0 inf + 1 414.639 * [simplify]: Simplified to 0 414.639 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 0))) 414.639 * * * * [progress]: [ 681 / 2246 ] simplifiying candidate # 414.640 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 414.640 * * [simplify]: iters left: 6 (19 enodes) 414.644 * * [simplify]: iters left: 5 (74 enodes) 414.655 * * [simplify]: iters left: 4 (127 enodes) 414.677 * * [simplify]: iters left: 3 (194 enodes) 414.704 * * [simplify]: iters left: 2 (265 enodes) 414.744 * * [simplify]: iters left: 1 (326 enodes) 414.788 * * [simplify]: Extracting #0: cost 1 inf + 0 414.788 * * [simplify]: Extracting #1: cost 11 inf + 0 414.788 * * [simplify]: Extracting #2: cost 53 inf + 0 414.788 * * [simplify]: Extracting #3: cost 85 inf + 43 414.789 * * [simplify]: Extracting #4: cost 87 inf + 86 414.789 * * [simplify]: Extracting #5: cost 80 inf + 794 414.790 * * [simplify]: Extracting #6: cost 57 inf + 6210 414.796 * * [simplify]: Extracting #7: cost 10 inf + 23827 414.803 * * [simplify]: Extracting #8: cost 0 inf + 27845 414.810 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 414.810 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 414.810 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 414.810 * * [simplify]: iters left: 6 (16 enodes) 414.814 * * [simplify]: iters left: 5 (62 enodes) 414.823 * * [simplify]: iters left: 4 (99 enodes) 414.838 * * [simplify]: iters left: 3 (150 enodes) 414.860 * * [simplify]: iters left: 2 (222 enodes) 414.893 * * [simplify]: iters left: 1 (302 enodes) 414.938 * * [simplify]: Extracting #0: cost 1 inf + 0 414.938 * * [simplify]: Extracting #1: cost 0 inf + 1 414.938 * [simplify]: Simplified to 0 414.938 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 414.938 * * * * [progress]: [ 682 / 2246 ] simplifiying candidate # 414.939 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 414.939 * * [simplify]: iters left: 6 (19 enodes) 414.943 * * [simplify]: iters left: 5 (71 enodes) 414.953 * * [simplify]: iters left: 4 (104 enodes) 414.968 * * [simplify]: iters left: 3 (150 enodes) 414.988 * * [simplify]: iters left: 2 (197 enodes) 415.016 * * [simplify]: iters left: 1 (235 enodes) 415.046 * * [simplify]: Extracting #0: cost 1 inf + 0 415.046 * * [simplify]: Extracting #1: cost 9 inf + 0 415.046 * * [simplify]: Extracting #2: cost 46 inf + 0 415.046 * * [simplify]: Extracting #3: cost 74 inf + 43 415.046 * * [simplify]: Extracting #4: cost 75 inf + 86 415.047 * * [simplify]: Extracting #5: cost 62 inf + 2839 415.049 * * [simplify]: Extracting #6: cost 25 inf + 14426 415.054 * * [simplify]: Extracting #7: cost 2 inf + 22322 415.060 * * [simplify]: Extracting #8: cost 0 inf + 22996 415.066 * [simplify]: Simplified to (- (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 415.066 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 415.066 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 415.066 * * [simplify]: iters left: 6 (14 enodes) 415.070 * * [simplify]: iters left: 5 (54 enodes) 415.077 * * [simplify]: iters left: 4 (77 enodes) 415.088 * * [simplify]: iters left: 3 (106 enodes) 415.103 * * [simplify]: iters left: 2 (137 enodes) 415.120 * * [simplify]: iters left: 1 (167 enodes) 415.142 * * [simplify]: Extracting #0: cost 1 inf + 0 415.142 * * [simplify]: Extracting #1: cost 0 inf + 1 415.142 * [simplify]: Simplified to 0 415.142 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 415.142 * * * * [progress]: [ 683 / 2246 ] simplifiying candidate # 415.143 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 415.143 * * [simplify]: iters left: 6 (19 enodes) 415.147 * * [simplify]: iters left: 5 (71 enodes) 415.158 * * [simplify]: iters left: 4 (108 enodes) 415.174 * * [simplify]: iters left: 3 (175 enodes) 415.201 * * [simplify]: iters left: 2 (236 enodes) 415.239 * * [simplify]: iters left: 1 (305 enodes) 415.280 * * [simplify]: Extracting #0: cost 1 inf + 0 415.280 * * [simplify]: Extracting #1: cost 11 inf + 0 415.280 * * [simplify]: Extracting #2: cost 44 inf + 0 415.280 * * [simplify]: Extracting #3: cost 66 inf + 44 415.280 * * [simplify]: Extracting #4: cost 61 inf + 811 415.281 * * [simplify]: Extracting #5: cost 47 inf + 4166 415.284 * * [simplify]: Extracting #6: cost 12 inf + 15055 415.289 * * [simplify]: Extracting #7: cost 0 inf + 19711 415.294 * [simplify]: Simplified to (- (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 415.294 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))))) 415.295 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1))) 415.295 * * [simplify]: iters left: 6 (14 enodes) 415.298 * * [simplify]: iters left: 5 (53 enodes) 415.306 * * [simplify]: iters left: 4 (78 enodes) 415.318 * * [simplify]: iters left: 3 (126 enodes) 415.338 * * [simplify]: iters left: 2 (171 enodes) 415.366 * * [simplify]: iters left: 1 (225 enodes) 415.395 * * [simplify]: Extracting #0: cost 1 inf + 0 415.395 * * [simplify]: Extracting #1: cost 0 inf + 1 415.395 * [simplify]: Simplified to 0 415.395 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 415.395 * * * * [progress]: [ 684 / 2246 ] simplifiying candidate # 415.395 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 415.395 * * [simplify]: iters left: 6 (21 enodes) 415.401 * * [simplify]: iters left: 5 (80 enodes) 415.412 * * [simplify]: iters left: 4 (114 enodes) 415.428 * * [simplify]: iters left: 3 (164 enodes) 415.450 * * [simplify]: iters left: 2 (221 enodes) 415.482 * * [simplify]: iters left: 1 (267 enodes) 415.520 * * [simplify]: Extracting #0: cost 1 inf + 0 415.520 * * [simplify]: Extracting #1: cost 11 inf + 0 415.520 * * [simplify]: Extracting #2: cost 47 inf + 0 415.520 * * [simplify]: Extracting #3: cost 69 inf + 44 415.520 * * [simplify]: Extracting #4: cost 62 inf + 771 415.521 * * [simplify]: Extracting #5: cost 49 inf + 3744 415.524 * * [simplify]: Extracting #6: cost 11 inf + 15990 415.529 * * [simplify]: Extracting #7: cost 0 inf + 20346 415.534 * [simplify]: Simplified to (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 415.534 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))))) 415.534 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)))) 415.534 * * [simplify]: iters left: 6 (15 enodes) 415.538 * * [simplify]: iters left: 5 (58 enodes) 415.546 * * [simplify]: iters left: 4 (84 enodes) 415.560 * * [simplify]: iters left: 3 (133 enodes) 415.578 * * [simplify]: iters left: 2 (175 enodes) 415.601 * * [simplify]: iters left: 1 (209 enodes) 415.628 * * [simplify]: Extracting #0: cost 1 inf + 0 415.628 * * [simplify]: Extracting #1: cost 0 inf + 1 415.628 * [simplify]: Simplified to 0 415.628 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 415.628 * * * * [progress]: [ 685 / 2246 ] simplifiying candidate # 415.628 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 415.629 * * [simplify]: iters left: 6 (21 enodes) 415.634 * * [simplify]: iters left: 5 (80 enodes) 415.645 * * [simplify]: iters left: 4 (114 enodes) 415.664 * * [simplify]: iters left: 3 (164 enodes) 415.685 * * [simplify]: iters left: 2 (221 enodes) 415.716 * * [simplify]: iters left: 1 (267 enodes) 415.754 * * [simplify]: Extracting #0: cost 1 inf + 0 415.754 * * [simplify]: Extracting #1: cost 11 inf + 0 415.754 * * [simplify]: Extracting #2: cost 47 inf + 0 415.754 * * [simplify]: Extracting #3: cost 69 inf + 44 415.754 * * [simplify]: Extracting #4: cost 62 inf + 771 415.755 * * [simplify]: Extracting #5: cost 49 inf + 3744 415.758 * * [simplify]: Extracting #6: cost 11 inf + 15990 415.763 * * [simplify]: Extracting #7: cost 0 inf + 20346 415.768 * [simplify]: Simplified to (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 415.768 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))))) 415.768 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)))) 415.768 * * [simplify]: iters left: 6 (15 enodes) 415.772 * * [simplify]: iters left: 5 (58 enodes) 415.780 * * [simplify]: iters left: 4 (84 enodes) 415.795 * * [simplify]: iters left: 3 (133 enodes) 415.813 * * [simplify]: iters left: 2 (175 enodes) 415.835 * * [simplify]: iters left: 1 (209 enodes) 415.863 * * [simplify]: Extracting #0: cost 1 inf + 0 415.863 * * [simplify]: Extracting #1: cost 0 inf + 1 415.863 * [simplify]: Simplified to 0 415.863 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 415.863 * * * * [progress]: [ 686 / 2246 ] simplifiying candidate # 415.864 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 415.864 * * [simplify]: iters left: 6 (19 enodes) 415.868 * * [simplify]: iters left: 5 (71 enodes) 415.878 * * [simplify]: iters left: 4 (108 enodes) 415.895 * * [simplify]: iters left: 3 (175 enodes) 415.922 * * [simplify]: iters left: 2 (236 enodes) 415.960 * * [simplify]: iters left: 1 (305 enodes) 416.001 * * [simplify]: Extracting #0: cost 1 inf + 0 416.001 * * [simplify]: Extracting #1: cost 11 inf + 0 416.001 * * [simplify]: Extracting #2: cost 44 inf + 0 416.001 * * [simplify]: Extracting #3: cost 66 inf + 44 416.001 * * [simplify]: Extracting #4: cost 61 inf + 811 416.002 * * [simplify]: Extracting #5: cost 47 inf + 4166 416.005 * * [simplify]: Extracting #6: cost 12 inf + 15055 416.010 * * [simplify]: Extracting #7: cost 0 inf + 19711 416.015 * [simplify]: Simplified to (- (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 416.015 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))))) 416.016 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1))) 416.016 * * [simplify]: iters left: 6 (14 enodes) 416.019 * * [simplify]: iters left: 5 (53 enodes) 416.027 * * [simplify]: iters left: 4 (78 enodes) 416.039 * * [simplify]: iters left: 3 (126 enodes) 416.059 * * [simplify]: iters left: 2 (171 enodes) 416.087 * * [simplify]: iters left: 1 (225 enodes) 416.116 * * [simplify]: Extracting #0: cost 1 inf + 0 416.116 * * [simplify]: Extracting #1: cost 0 inf + 1 416.116 * [simplify]: Simplified to 0 416.116 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 416.116 * * * * [progress]: [ 687 / 2246 ] simplifiying candidate # 416.116 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 416.117 * * [simplify]: iters left: 6 (24 enodes) 416.122 * * [simplify]: iters left: 5 (99 enodes) 416.139 * * [simplify]: iters left: 4 (233 enodes) 416.204 * * [simplify]: Extracting #0: cost 1 inf + 0 416.204 * * [simplify]: Extracting #1: cost 11 inf + 0 416.204 * * [simplify]: Extracting #2: cost 150 inf + 0 416.205 * * [simplify]: Extracting #3: cost 269 inf + 1 416.206 * * [simplify]: Extracting #4: cost 267 inf + 809 416.207 * * [simplify]: Extracting #5: cost 246 inf + 5265 416.209 * * [simplify]: Extracting #6: cost 218 inf + 14707 416.216 * * [simplify]: Extracting #7: cost 157 inf + 45503 416.237 * * [simplify]: Extracting #8: cost 17 inf + 127063 416.265 * * [simplify]: Extracting #9: cost 0 inf + 136969 416.290 * [simplify]: Simplified to (- (/ (* (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (/ (cbrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (* (/ (cbrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (cbrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))))) 416.290 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (/ (cbrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (* (/ (cbrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (cbrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 416.291 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 416.291 * * [simplify]: iters left: 6 (21 enodes) 416.296 * * [simplify]: iters left: 5 (87 enodes) 416.311 * * [simplify]: iters left: 4 (200 enodes) 416.369 * * [simplify]: Extracting #0: cost 1 inf + 0 416.370 * * [simplify]: Extracting #1: cost 25 inf + 0 416.370 * * [simplify]: Extracting #2: cost 150 inf + 0 416.371 * * [simplify]: Extracting #3: cost 243 inf + 1 416.371 * * [simplify]: Extracting #4: cost 245 inf + 365 416.372 * * [simplify]: Extracting #5: cost 226 inf + 4202 416.374 * * [simplify]: Extracting #6: cost 200 inf + 13225 416.381 * * [simplify]: Extracting #7: cost 154 inf + 36777 416.400 * * [simplify]: Extracting #8: cost 20 inf + 116269 416.423 * * [simplify]: Extracting #9: cost 0 inf + 128603 416.446 * [simplify]: Simplified to (- (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 416.446 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) (- (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 416.446 * * * * [progress]: [ 688 / 2246 ] simplifiying candidate # 416.447 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 416.447 * * [simplify]: iters left: 6 (25 enodes) 416.453 * * [simplify]: iters left: 5 (100 enodes) 416.471 * * [simplify]: iters left: 4 (203 enodes) 416.516 * * [simplify]: Extracting #0: cost 1 inf + 0 416.516 * * [simplify]: Extracting #1: cost 11 inf + 0 416.516 * * [simplify]: Extracting #2: cost 114 inf + 0 416.516 * * [simplify]: Extracting #3: cost 200 inf + 0 416.517 * * [simplify]: Extracting #4: cost 197 inf + 649 416.518 * * [simplify]: Extracting #5: cost 178 inf + 4750 416.520 * * [simplify]: Extracting #6: cost 152 inf + 13475 416.523 * * [simplify]: Extracting #7: cost 120 inf + 24789 416.536 * * [simplify]: Extracting #8: cost 29 inf + 73027 416.552 * * [simplify]: Extracting #9: cost 0 inf + 89429 416.568 * [simplify]: Simplified to (- (/ (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 416.568 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 416.569 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 416.569 * * [simplify]: iters left: 6 (20 enodes) 416.574 * * [simplify]: iters left: 5 (82 enodes) 416.587 * * [simplify]: iters left: 4 (166 enodes) 416.629 * * [simplify]: Extracting #0: cost 1 inf + 0 416.629 * * [simplify]: Extracting #1: cost 22 inf + 0 416.629 * * [simplify]: Extracting #2: cost 106 inf + 0 416.629 * * [simplify]: Extracting #3: cost 175 inf + 0 416.630 * * [simplify]: Extracting #4: cost 174 inf + 286 416.630 * * [simplify]: Extracting #5: cost 165 inf + 2060 416.632 * * [simplify]: Extracting #6: cost 133 inf + 12055 416.634 * * [simplify]: Extracting #7: cost 124 inf + 14115 416.640 * * [simplify]: Extracting #8: cost 61 inf + 47169 416.653 * * [simplify]: Extracting #9: cost 3 inf + 80053 416.667 * * [simplify]: Extracting #10: cost 0 inf + 81907 416.683 * [simplify]: Simplified to (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 416.683 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))))))) 416.684 * * * * [progress]: [ 689 / 2246 ] simplifiying candidate # 416.684 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 416.684 * * [simplify]: iters left: 6 (24 enodes) 416.690 * * [simplify]: iters left: 5 (94 enodes) 416.706 * * [simplify]: iters left: 4 (210 enodes) 416.759 * * [simplify]: Extracting #0: cost 1 inf + 0 416.759 * * [simplify]: Extracting #1: cost 13 inf + 0 416.759 * * [simplify]: Extracting #2: cost 119 inf + 0 416.760 * * [simplify]: Extracting #3: cost 195 inf + 1 416.761 * * [simplify]: Extracting #4: cost 190 inf + 1064 416.762 * * [simplify]: Extracting #5: cost 168 inf + 5722 416.766 * * [simplify]: Extracting #6: cost 95 inf + 31577 416.777 * * [simplify]: Extracting #7: cost 17 inf + 68356 416.790 * * [simplify]: Extracting #8: cost 0 inf + 76542 416.803 * * [simplify]: Extracting #9: cost 0 inf + 76487 416.817 * [simplify]: Simplified to (- (/ (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 416.817 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 416.817 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 416.817 * * [simplify]: iters left: 6 (19 enodes) 416.824 * * [simplify]: iters left: 5 (76 enodes) 416.837 * * [simplify]: iters left: 4 (173 enodes) 416.883 * * [simplify]: Extracting #0: cost 1 inf + 0 416.883 * * [simplify]: Extracting #1: cost 14 inf + 0 416.883 * * [simplify]: Extracting #2: cost 90 inf + 0 416.883 * * [simplify]: Extracting #3: cost 150 inf + 1 416.884 * * [simplify]: Extracting #4: cost 151 inf + 286 416.884 * * [simplify]: Extracting #5: cost 139 inf + 2371 416.886 * * [simplify]: Extracting #6: cost 93 inf + 16977 416.893 * * [simplify]: Extracting #7: cost 13 inf + 53665 416.904 * * [simplify]: Extracting #8: cost 0 inf + 59778 416.914 * [simplify]: Simplified to (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 416.914 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 416.914 * * * * [progress]: [ 690 / 2246 ] simplifiying candidate # 416.914 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 416.915 * * [simplify]: iters left: 6 (26 enodes) 416.922 * * [simplify]: iters left: 5 (104 enodes) 416.938 * * [simplify]: iters left: 4 (177 enodes) 416.975 * * [simplify]: iters left: 3 (455 enodes) 417.142 * * [simplify]: Extracting #0: cost 1 inf + 0 417.142 * * [simplify]: Extracting #1: cost 11 inf + 0 417.143 * * [simplify]: Extracting #2: cost 154 inf + 0 417.144 * * [simplify]: Extracting #3: cost 310 inf + 1 417.145 * * [simplify]: Extracting #4: cost 310 inf + 489 417.146 * * [simplify]: Extracting #5: cost 287 inf + 4860 417.152 * * [simplify]: Extracting #6: cost 189 inf + 39765 417.174 * * [simplify]: Extracting #7: cost 26 inf + 114779 417.201 * * [simplify]: Extracting #8: cost 3 inf + 125608 417.228 * * [simplify]: Extracting #9: cost 0 inf + 126807 417.254 * [simplify]: Simplified to (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 417.254 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 417.254 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 417.254 * * [simplify]: iters left: 6 (20 enodes) 417.259 * * [simplify]: iters left: 5 (82 enodes) 417.533 * * [simplify]: iters left: 4 (138 enodes) 417.564 * * [simplify]: iters left: 3 (402 enodes) 417.744 * * [simplify]: Extracting #0: cost 1 inf + 0 417.744 * * [simplify]: Extracting #1: cost 0 inf + 1 417.744 * [simplify]: Simplified to 0 417.744 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 0))) 417.744 * * * * [progress]: [ 691 / 2246 ] simplifiying candidate # 417.745 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 417.745 * * [simplify]: iters left: 6 (26 enodes) 417.752 * * [simplify]: iters left: 5 (104 enodes) 417.768 * * [simplify]: iters left: 4 (177 enodes) 417.805 * * [simplify]: iters left: 3 (455 enodes) 417.976 * * [simplify]: Extracting #0: cost 1 inf + 0 417.976 * * [simplify]: Extracting #1: cost 11 inf + 0 417.976 * * [simplify]: Extracting #2: cost 154 inf + 0 417.977 * * [simplify]: Extracting #3: cost 310 inf + 1 417.978 * * [simplify]: Extracting #4: cost 310 inf + 489 417.980 * * [simplify]: Extracting #5: cost 287 inf + 4860 417.986 * * [simplify]: Extracting #6: cost 189 inf + 39765 418.008 * * [simplify]: Extracting #7: cost 26 inf + 114779 418.034 * * [simplify]: Extracting #8: cost 3 inf + 125608 418.061 * * [simplify]: Extracting #9: cost 0 inf + 126807 418.088 * [simplify]: Simplified to (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 418.088 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 418.089 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 418.089 * * [simplify]: iters left: 6 (20 enodes) 418.094 * * [simplify]: iters left: 5 (82 enodes) 418.107 * * [simplify]: iters left: 4 (138 enodes) 418.141 * * [simplify]: iters left: 3 (402 enodes) 418.320 * * [simplify]: Extracting #0: cost 1 inf + 0 418.320 * * [simplify]: Extracting #1: cost 0 inf + 1 418.320 * [simplify]: Simplified to 0 418.320 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 0))) 418.321 * * * * [progress]: [ 692 / 2246 ] simplifiying candidate # 418.321 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 418.321 * * [simplify]: iters left: 6 (24 enodes) 418.327 * * [simplify]: iters left: 5 (94 enodes) 418.344 * * [simplify]: iters left: 4 (210 enodes) 418.400 * * [simplify]: Extracting #0: cost 1 inf + 0 418.400 * * [simplify]: Extracting #1: cost 13 inf + 0 418.400 * * [simplify]: Extracting #2: cost 119 inf + 0 418.401 * * [simplify]: Extracting #3: cost 195 inf + 1 418.401 * * [simplify]: Extracting #4: cost 190 inf + 1064 418.402 * * [simplify]: Extracting #5: cost 168 inf + 5722 418.407 * * [simplify]: Extracting #6: cost 95 inf + 31577 418.420 * * [simplify]: Extracting #7: cost 17 inf + 68356 418.433 * * [simplify]: Extracting #8: cost 0 inf + 76542 418.446 * * [simplify]: Extracting #9: cost 0 inf + 76487 418.460 * [simplify]: Simplified to (- (/ (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 418.460 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 418.460 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 418.460 * * [simplify]: iters left: 6 (19 enodes) 418.465 * * [simplify]: iters left: 5 (76 enodes) 418.478 * * [simplify]: iters left: 4 (173 enodes) 418.524 * * [simplify]: Extracting #0: cost 1 inf + 0 418.524 * * [simplify]: Extracting #1: cost 14 inf + 0 418.524 * * [simplify]: Extracting #2: cost 90 inf + 0 418.524 * * [simplify]: Extracting #3: cost 150 inf + 1 418.525 * * [simplify]: Extracting #4: cost 151 inf + 286 418.526 * * [simplify]: Extracting #5: cost 139 inf + 2371 418.527 * * [simplify]: Extracting #6: cost 93 inf + 16977 418.535 * * [simplify]: Extracting #7: cost 13 inf + 53665 418.545 * * [simplify]: Extracting #8: cost 0 inf + 59778 418.555 * [simplify]: Simplified to (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 418.555 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 418.556 * * * * [progress]: [ 693 / 2246 ] simplifiying candidate # 418.556 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 418.556 * * [simplify]: iters left: 6 (23 enodes) 418.564 * * [simplify]: iters left: 5 (93 enodes) 418.579 * * [simplify]: iters left: 4 (202 enodes) 418.627 * * [simplify]: Extracting #0: cost 1 inf + 0 418.627 * * [simplify]: Extracting #1: cost 11 inf + 0 418.628 * * [simplify]: Extracting #2: cost 113 inf + 0 418.628 * * [simplify]: Extracting #3: cost 202 inf + 0 418.629 * * [simplify]: Extracting #4: cost 199 inf + 608 418.630 * * [simplify]: Extracting #5: cost 182 inf + 3971 418.631 * * [simplify]: Extracting #6: cost 163 inf + 9594 418.633 * * [simplify]: Extracting #7: cost 157 inf + 10880 418.638 * * [simplify]: Extracting #8: cost 112 inf + 33290 418.653 * * [simplify]: Extracting #9: cost 17 inf + 86760 418.671 * * [simplify]: Extracting #10: cost 0 inf + 96106 418.689 * * [simplify]: Extracting #11: cost 0 inf + 95946 418.709 * [simplify]: Simplified to (- (/ (* (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) 418.709 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 418.709 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 418.710 * * [simplify]: iters left: 6 (20 enodes) 418.714 * * [simplify]: iters left: 5 (81 enodes) 418.727 * * [simplify]: iters left: 4 (169 enodes) 418.768 * * [simplify]: Extracting #0: cost 1 inf + 0 418.768 * * [simplify]: Extracting #1: cost 22 inf + 0 418.768 * * [simplify]: Extracting #2: cost 104 inf + 0 418.769 * * [simplify]: Extracting #3: cost 169 inf + 0 418.769 * * [simplify]: Extracting #4: cost 160 inf + 1174 418.772 * * [simplify]: Extracting #5: cost 140 inf + 5986 418.773 * * [simplify]: Extracting #6: cost 136 inf + 7316 418.774 * * [simplify]: Extracting #7: cost 132 inf + 7868 418.779 * * [simplify]: Extracting #8: cost 72 inf + 39468 418.793 * * [simplify]: Extracting #9: cost 3 inf + 80030 418.809 * * [simplify]: Extracting #10: cost 0 inf + 81164 418.824 * * [simplify]: Extracting #11: cost 0 inf + 80644 418.839 * * [simplify]: Extracting #12: cost 0 inf + 80484 418.855 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) 418.855 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))))))) 418.855 * * * * [progress]: [ 694 / 2246 ] simplifiying candidate # 418.855 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 418.856 * * [simplify]: iters left: 6 (24 enodes) 418.862 * * [simplify]: iters left: 5 (93 enodes) 418.877 * * [simplify]: iters left: 4 (175 enodes) 418.912 * * [simplify]: iters left: 3 (443 enodes) 419.048 * * [simplify]: Extracting #0: cost 1 inf + 0 419.048 * * [simplify]: Extracting #1: cost 11 inf + 0 419.048 * * [simplify]: Extracting #2: cost 140 inf + 0 419.049 * * [simplify]: Extracting #3: cost 269 inf + 0 419.050 * * [simplify]: Extracting #4: cost 268 inf + 408 419.052 * * [simplify]: Extracting #5: cost 257 inf + 2361 419.056 * * [simplify]: Extracting #6: cost 185 inf + 25541 419.075 * * [simplify]: Extracting #7: cost 46 inf + 91723 419.103 * * [simplify]: Extracting #8: cost 0 inf + 115831 419.132 * * [simplify]: Extracting #9: cost 0 inf + 115751 419.160 * [simplify]: Simplified to (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (/ (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) 419.160 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (/ (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 419.160 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 419.160 * * [simplify]: iters left: 6 (19 enodes) 419.165 * * [simplify]: iters left: 5 (75 enodes) 419.176 * * [simplify]: iters left: 4 (138 enodes) 419.206 * * [simplify]: iters left: 3 (364 enodes) 419.328 * * [simplify]: Extracting #0: cost 1 inf + 0 419.328 * * [simplify]: Extracting #1: cost 0 inf + 1 419.328 * [simplify]: Simplified to 0 419.328 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 419.328 * * * * [progress]: [ 695 / 2246 ] simplifiying candidate # 419.329 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 419.329 * * [simplify]: iters left: 6 (23 enodes) 419.334 * * [simplify]: iters left: 5 (89 enodes) 419.349 * * [simplify]: iters left: 4 (166 enodes) 419.386 * * [simplify]: iters left: 3 (405 enodes) 419.530 * * [simplify]: Extracting #0: cost 1 inf + 0 419.530 * * [simplify]: Extracting #1: cost 11 inf + 0 419.531 * * [simplify]: Extracting #2: cost 119 inf + 0 419.532 * * [simplify]: Extracting #3: cost 233 inf + 1 419.533 * * [simplify]: Extracting #4: cost 229 inf + 851 419.534 * * [simplify]: Extracting #5: cost 208 inf + 5191 419.541 * * [simplify]: Extracting #6: cost 115 inf + 36971 419.560 * * [simplify]: Extracting #7: cost 8 inf + 81657 419.580 * * [simplify]: Extracting #8: cost 0 inf + 84896 419.600 * [simplify]: Simplified to (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 419.600 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))))) 419.600 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1))) 419.601 * * [simplify]: iters left: 6 (18 enodes) 419.606 * * [simplify]: iters left: 5 (71 enodes) 419.618 * * [simplify]: iters left: 4 (130 enodes) 419.645 * * [simplify]: iters left: 3 (341 enodes) 419.768 * * [simplify]: Extracting #0: cost 1 inf + 0 419.768 * * [simplify]: Extracting #1: cost 0 inf + 1 419.768 * [simplify]: Simplified to 0 419.768 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 0))) 419.768 * * * * [progress]: [ 696 / 2246 ] simplifiying candidate # 419.768 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) 419.769 * * [simplify]: iters left: 6 (25 enodes) 419.777 * * [simplify]: iters left: 5 (98 enodes) 419.791 * * [simplify]: iters left: 4 (155 enodes) 419.820 * * [simplify]: iters left: 3 (351 enodes) 419.921 * * [simplify]: Extracting #0: cost 1 inf + 0 419.921 * * [simplify]: Extracting #1: cost 11 inf + 0 419.921 * * [simplify]: Extracting #2: cost 114 inf + 0 419.922 * * [simplify]: Extracting #3: cost 205 inf + 1 419.923 * * [simplify]: Extracting #4: cost 203 inf + 730 419.924 * * [simplify]: Extracting #5: cost 183 inf + 4435 419.930 * * [simplify]: Extracting #6: cost 111 inf + 29010 419.944 * * [simplify]: Extracting #7: cost 28 inf + 63404 419.963 * * [simplify]: Extracting #8: cost 0 inf + 75548 419.980 * * [simplify]: Extracting #9: cost 0 inf + 75428 419.997 * [simplify]: Simplified to (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (cbrt 1/2) (/ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))))) 419.997 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (cbrt 1/2) (/ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))))) 419.997 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)))) 419.997 * * [simplify]: iters left: 6 (19 enodes) 420.002 * * [simplify]: iters left: 5 (76 enodes) 420.014 * * [simplify]: iters left: 4 (115 enodes) 420.035 * * [simplify]: iters left: 3 (283 enodes) 420.128 * * [simplify]: Extracting #0: cost 1 inf + 0 420.128 * * [simplify]: Extracting #1: cost 28 inf + 0 420.128 * * [simplify]: Extracting #2: cost 102 inf + 1 420.129 * * [simplify]: Extracting #3: cost 142 inf + 691 420.130 * * [simplify]: Extracting #4: cost 131 inf + 3683 420.132 * * [simplify]: Extracting #5: cost 102 inf + 11388 420.135 * * [simplify]: Extracting #6: cost 97 inf + 12896 420.141 * * [simplify]: Extracting #7: cost 45 inf + 33427 420.156 * * [simplify]: Extracting #8: cost 0 inf + 53907 420.169 * * [simplify]: Extracting #9: cost 0 inf + 53757 420.182 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 420.182 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 420.182 * * * * [progress]: [ 697 / 2246 ] simplifiying candidate # 420.182 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) 420.183 * * [simplify]: iters left: 6 (25 enodes) 420.189 * * [simplify]: iters left: 5 (98 enodes) 420.204 * * [simplify]: iters left: 4 (155 enodes) 420.233 * * [simplify]: iters left: 3 (351 enodes) 420.334 * * [simplify]: Extracting #0: cost 1 inf + 0 420.334 * * [simplify]: Extracting #1: cost 11 inf + 0 420.335 * * [simplify]: Extracting #2: cost 114 inf + 0 420.335 * * [simplify]: Extracting #3: cost 205 inf + 1 420.336 * * [simplify]: Extracting #4: cost 203 inf + 730 420.337 * * [simplify]: Extracting #5: cost 183 inf + 4435 420.345 * * [simplify]: Extracting #6: cost 111 inf + 29010 420.359 * * [simplify]: Extracting #7: cost 28 inf + 63404 420.376 * * [simplify]: Extracting #8: cost 0 inf + 75548 420.393 * * [simplify]: Extracting #9: cost 0 inf + 75428 420.410 * [simplify]: Simplified to (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (cbrt 1/2) (/ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))))) 420.410 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (cbrt 1/2) (/ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))))) 420.410 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)))) 420.411 * * [simplify]: iters left: 6 (19 enodes) 420.416 * * [simplify]: iters left: 5 (76 enodes) 420.429 * * [simplify]: iters left: 4 (115 enodes) 420.451 * * [simplify]: iters left: 3 (283 enodes) 420.545 * * [simplify]: Extracting #0: cost 1 inf + 0 420.546 * * [simplify]: Extracting #1: cost 28 inf + 0 420.546 * * [simplify]: Extracting #2: cost 102 inf + 1 420.546 * * [simplify]: Extracting #3: cost 142 inf + 691 420.547 * * [simplify]: Extracting #4: cost 131 inf + 3683 420.550 * * [simplify]: Extracting #5: cost 102 inf + 11388 420.552 * * [simplify]: Extracting #6: cost 97 inf + 12896 420.559 * * [simplify]: Extracting #7: cost 45 inf + 33427 420.571 * * [simplify]: Extracting #8: cost 0 inf + 53907 420.585 * * [simplify]: Extracting #9: cost 0 inf + 53757 420.598 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 420.598 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 420.598 * * * * [progress]: [ 698 / 2246 ] simplifiying candidate # 420.599 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 420.599 * * [simplify]: iters left: 6 (23 enodes) 420.604 * * [simplify]: iters left: 5 (89 enodes) 420.621 * * [simplify]: iters left: 4 (166 enodes) 420.656 * * [simplify]: iters left: 3 (405 enodes) 420.800 * * [simplify]: Extracting #0: cost 1 inf + 0 420.800 * * [simplify]: Extracting #1: cost 11 inf + 0 420.800 * * [simplify]: Extracting #2: cost 119 inf + 0 420.801 * * [simplify]: Extracting #3: cost 233 inf + 1 420.802 * * [simplify]: Extracting #4: cost 229 inf + 851 420.803 * * [simplify]: Extracting #5: cost 208 inf + 5191 420.810 * * [simplify]: Extracting #6: cost 115 inf + 36971 420.828 * * [simplify]: Extracting #7: cost 8 inf + 81657 420.848 * * [simplify]: Extracting #8: cost 0 inf + 84896 420.870 * [simplify]: Simplified to (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 420.871 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))))) 420.871 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1))) 420.871 * * [simplify]: iters left: 6 (18 enodes) 420.876 * * [simplify]: iters left: 5 (71 enodes) 420.887 * * [simplify]: iters left: 4 (130 enodes) 420.914 * * [simplify]: iters left: 3 (341 enodes) 421.039 * * [simplify]: Extracting #0: cost 1 inf + 0 421.039 * * [simplify]: Extracting #1: cost 0 inf + 1 421.039 * [simplify]: Simplified to 0 421.039 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 0))) 421.039 * * * * [progress]: [ 699 / 2246 ] simplifiying candidate # 421.039 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 421.039 * * [simplify]: iters left: 6 (22 enodes) 421.045 * * [simplify]: iters left: 5 (88 enodes) 421.060 * * [simplify]: iters left: 4 (194 enodes) 421.108 * * [simplify]: Extracting #0: cost 1 inf + 0 421.108 * * [simplify]: Extracting #1: cost 11 inf + 0 421.108 * * [simplify]: Extracting #2: cost 98 inf + 0 421.109 * * [simplify]: Extracting #3: cost 166 inf + 1 421.109 * * [simplify]: Extracting #4: cost 162 inf + 184 421.110 * * [simplify]: Extracting #5: cost 146 inf + 3035 421.111 * * [simplify]: Extracting #6: cost 134 inf + 5697 421.112 * * [simplify]: Extracting #7: cost 133 inf + 5996 421.113 * * [simplify]: Extracting #8: cost 128 inf + 6926 421.121 * * [simplify]: Extracting #9: cost 32 inf + 53254 421.135 * * [simplify]: Extracting #10: cost 1 inf + 69452 421.149 * * [simplify]: Extracting #11: cost 0 inf + 69310 421.163 * * [simplify]: Extracting #12: cost 0 inf + 69030 421.178 * [simplify]: Simplified to (- (/ (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (* (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (hypot 1 x)) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) 421.178 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (* (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (hypot 1 x)) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 421.179 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 421.179 * * [simplify]: iters left: 6 (19 enodes) 421.184 * * [simplify]: iters left: 5 (76 enodes) 421.196 * * [simplify]: iters left: 4 (163 enodes) 421.235 * * [simplify]: iters left: 3 (466 enodes) 421.445 * * [simplify]: Extracting #0: cost 1 inf + 0 421.445 * * [simplify]: Extracting #1: cost 0 inf + 1 421.445 * [simplify]: Simplified to 0 421.445 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 421.446 * * * * [progress]: [ 700 / 2246 ] simplifiying candidate # 421.446 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 421.446 * * [simplify]: iters left: 6 (23 enodes) 421.452 * * [simplify]: iters left: 5 (89 enodes) 421.466 * * [simplify]: iters left: 4 (167 enodes) 421.501 * * [simplify]: iters left: 3 (408 enodes) 421.631 * * [simplify]: Extracting #0: cost 1 inf + 0 421.631 * * [simplify]: Extracting #1: cost 11 inf + 0 421.631 * * [simplify]: Extracting #2: cost 103 inf + 0 421.632 * * [simplify]: Extracting #3: cost 203 inf + 44 421.632 * * [simplify]: Extracting #4: cost 194 inf + 1356 421.636 * * [simplify]: Extracting #5: cost 122 inf + 21760 421.649 * * [simplify]: Extracting #6: cost 26 inf + 61178 421.668 * * [simplify]: Extracting #7: cost 0 inf + 73126 421.688 * [simplify]: Simplified to (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 421.688 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 421.689 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 421.689 * * [simplify]: iters left: 6 (18 enodes) 421.693 * * [simplify]: iters left: 5 (71 enodes) 421.705 * * [simplify]: iters left: 4 (132 enodes) 421.732 * * [simplify]: iters left: 3 (327 enodes) 421.844 * * [simplify]: Extracting #0: cost 1 inf + 0 421.844 * * [simplify]: Extracting #1: cost 0 inf + 1 421.844 * [simplify]: Simplified to 0 421.844 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 421.844 * * * * [progress]: [ 701 / 2246 ] simplifiying candidate # 421.845 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 421.845 * * [simplify]: iters left: 6 (22 enodes) 421.850 * * [simplify]: iters left: 5 (81 enodes) 421.866 * * [simplify]: iters left: 4 (156 enodes) 421.894 * * [simplify]: iters left: 3 (347 enodes) 421.996 * * [simplify]: Extracting #0: cost 1 inf + 0 421.996 * * [simplify]: Extracting #1: cost 13 inf + 0 421.996 * * [simplify]: Extracting #2: cost 102 inf + 0 421.997 * * [simplify]: Extracting #3: cost 156 inf + 44 421.998 * * [simplify]: Extracting #4: cost 150 inf + 968 421.999 * * [simplify]: Extracting #5: cost 111 inf + 9122 422.007 * * [simplify]: Extracting #6: cost 26 inf + 40250 422.019 * * [simplify]: Extracting #7: cost 1 inf + 49967 422.031 * * [simplify]: Extracting #8: cost 0 inf + 50186 422.045 * * [simplify]: Extracting #9: cost 0 inf + 50106 422.057 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 422.057 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))))) 422.057 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1))) 422.057 * * [simplify]: iters left: 6 (17 enodes) 422.062 * * [simplify]: iters left: 5 (62 enodes) 422.072 * * [simplify]: iters left: 4 (117 enodes) 422.093 * * [simplify]: iters left: 3 (259 enodes) 422.161 * * [simplify]: Extracting #0: cost 1 inf + 0 422.161 * * [simplify]: Extracting #1: cost 0 inf + 1 422.161 * [simplify]: Simplified to 0 422.161 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 422.161 * * * * [progress]: [ 702 / 2246 ] simplifiying candidate # 422.162 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 422.162 * * [simplify]: iters left: 6 (24 enodes) 422.171 * * [simplify]: iters left: 5 (93 enodes) 422.184 * * [simplify]: iters left: 4 (158 enodes) 422.211 * * [simplify]: iters left: 3 (336 enodes) 422.297 * * [simplify]: Extracting #0: cost 1 inf + 0 422.297 * * [simplify]: Extracting #1: cost 13 inf + 0 422.297 * * [simplify]: Extracting #2: cost 108 inf + 0 422.298 * * [simplify]: Extracting #3: cost 158 inf + 44 422.299 * * [simplify]: Extracting #4: cost 151 inf + 1065 422.300 * * [simplify]: Extracting #5: cost 112 inf + 9013 422.306 * * [simplify]: Extracting #6: cost 52 inf + 30033 422.317 * * [simplify]: Extracting #7: cost 4 inf + 48895 422.328 * * [simplify]: Extracting #8: cost 0 inf + 50727 422.340 * * [simplify]: Extracting #9: cost 0 inf + 50616 422.351 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 422.351 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))))) 422.352 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)))) 422.352 * * [simplify]: iters left: 6 (18 enodes) 422.357 * * [simplify]: iters left: 5 (71 enodes) 422.369 * * [simplify]: iters left: 4 (123 enodes) 422.392 * * [simplify]: iters left: 3 (278 enodes) 422.468 * * [simplify]: Extracting #0: cost 1 inf + 0 422.468 * * [simplify]: Extracting #1: cost 0 inf + 1 422.468 * [simplify]: Simplified to 0 422.468 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 422.468 * * * * [progress]: [ 703 / 2246 ] simplifiying candidate # 422.468 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 422.469 * * [simplify]: iters left: 6 (24 enodes) 422.475 * * [simplify]: iters left: 5 (93 enodes) 422.491 * * [simplify]: iters left: 4 (158 enodes) 422.518 * * [simplify]: iters left: 3 (336 enodes) 422.604 * * [simplify]: Extracting #0: cost 1 inf + 0 422.604 * * [simplify]: Extracting #1: cost 13 inf + 0 422.604 * * [simplify]: Extracting #2: cost 108 inf + 0 422.605 * * [simplify]: Extracting #3: cost 158 inf + 44 422.606 * * [simplify]: Extracting #4: cost 151 inf + 1065 422.607 * * [simplify]: Extracting #5: cost 112 inf + 9013 422.613 * * [simplify]: Extracting #6: cost 52 inf + 30033 422.623 * * [simplify]: Extracting #7: cost 4 inf + 48895 422.635 * * [simplify]: Extracting #8: cost 0 inf + 50727 422.646 * * [simplify]: Extracting #9: cost 0 inf + 50616 422.658 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 422.658 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))))) 422.658 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)))) 422.659 * * [simplify]: iters left: 6 (18 enodes) 422.664 * * [simplify]: iters left: 5 (71 enodes) 422.674 * * [simplify]: iters left: 4 (123 enodes) 422.698 * * [simplify]: iters left: 3 (278 enodes) 422.774 * * [simplify]: Extracting #0: cost 1 inf + 0 422.774 * * [simplify]: Extracting #1: cost 0 inf + 1 422.774 * [simplify]: Simplified to 0 422.774 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 422.774 * * * * [progress]: [ 704 / 2246 ] simplifiying candidate # 422.775 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 422.775 * * [simplify]: iters left: 6 (22 enodes) 422.780 * * [simplify]: iters left: 5 (81 enodes) 422.795 * * [simplify]: iters left: 4 (156 enodes) 422.824 * * [simplify]: iters left: 3 (347 enodes) 422.926 * * [simplify]: Extracting #0: cost 1 inf + 0 422.926 * * [simplify]: Extracting #1: cost 13 inf + 0 422.927 * * [simplify]: Extracting #2: cost 102 inf + 0 422.927 * * [simplify]: Extracting #3: cost 156 inf + 44 422.928 * * [simplify]: Extracting #4: cost 150 inf + 968 422.929 * * [simplify]: Extracting #5: cost 111 inf + 9122 422.937 * * [simplify]: Extracting #6: cost 26 inf + 40250 422.949 * * [simplify]: Extracting #7: cost 1 inf + 49967 422.961 * * [simplify]: Extracting #8: cost 0 inf + 50186 422.973 * * [simplify]: Extracting #9: cost 0 inf + 50106 422.987 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 422.987 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))))) 422.987 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1))) 422.988 * * [simplify]: iters left: 6 (17 enodes) 422.992 * * [simplify]: iters left: 5 (62 enodes) 423.002 * * [simplify]: iters left: 4 (117 enodes) 423.023 * * [simplify]: iters left: 3 (259 enodes) 423.092 * * [simplify]: Extracting #0: cost 1 inf + 0 423.092 * * [simplify]: Extracting #1: cost 0 inf + 1 423.092 * [simplify]: Simplified to 0 423.092 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 423.092 * * * * [progress]: [ 705 / 2246 ] simplifiying candidate # 423.092 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 423.093 * * [simplify]: iters left: 6 (22 enodes) 423.098 * * [simplify]: iters left: 5 (89 enodes) 423.114 * * [simplify]: iters left: 4 (190 enodes) 423.156 * * [simplify]: Extracting #0: cost 1 inf + 0 423.156 * * [simplify]: Extracting #1: cost 11 inf + 0 423.156 * * [simplify]: Extracting #2: cost 107 inf + 0 423.157 * * [simplify]: Extracting #3: cost 186 inf + 0 423.157 * * [simplify]: Extracting #4: cost 184 inf + 487 423.158 * * [simplify]: Extracting #5: cost 176 inf + 1611 423.159 * * [simplify]: Extracting #6: cost 154 inf + 8562 423.161 * * [simplify]: Extracting #7: cost 145 inf + 10622 423.167 * * [simplify]: Extracting #8: cost 105 inf + 30782 423.182 * * [simplify]: Extracting #9: cost 13 inf + 82198 423.199 * * [simplify]: Extracting #10: cost 0 inf + 89952 423.216 * * [simplify]: Extracting #11: cost 0 inf + 89912 423.234 * [simplify]: Simplified to (- (/ (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (* (/ (/ (sqrt 1/2) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (hypot 1 x)))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (hypot 1 x)))))) 423.234 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (* (/ (/ (sqrt 1/2) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (hypot 1 x)))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (hypot 1 x)))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 423.234 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 423.235 * * [simplify]: iters left: 6 (20 enodes) 423.240 * * [simplify]: iters left: 5 (80 enodes) 423.252 * * [simplify]: iters left: 4 (163 enodes) 423.290 * * [simplify]: iters left: 3 (493 enodes) 423.483 * * [simplify]: Extracting #0: cost 1 inf + 0 423.483 * * [simplify]: Extracting #1: cost 0 inf + 1 423.483 * [simplify]: Simplified to 0 423.483 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 423.483 * * * * [progress]: [ 706 / 2246 ] simplifiying candidate # 423.483 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 423.483 * * [simplify]: iters left: 6 (23 enodes) 423.489 * * [simplify]: iters left: 5 (90 enodes) 423.503 * * [simplify]: iters left: 4 (167 enodes) 423.538 * * [simplify]: iters left: 3 (416 enodes) 423.652 * * [simplify]: Extracting #0: cost 1 inf + 0 423.652 * * [simplify]: Extracting #1: cost 11 inf + 0 423.653 * * [simplify]: Extracting #2: cost 118 inf + 0 423.653 * * [simplify]: Extracting #3: cost 221 inf + 1 423.654 * * [simplify]: Extracting #4: cost 224 inf + 44 423.655 * * [simplify]: Extracting #5: cost 209 inf + 2637 423.660 * * [simplify]: Extracting #6: cost 144 inf + 24023 423.677 * * [simplify]: Extracting #7: cost 22 inf + 80989 423.699 * * [simplify]: Extracting #8: cost 0 inf + 92067 423.724 * [simplify]: Simplified to (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) 423.724 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 423.724 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 423.724 * * [simplify]: iters left: 6 (19 enodes) 423.729 * * [simplify]: iters left: 5 (75 enodes) 423.740 * * [simplify]: iters left: 4 (134 enodes) 423.766 * * [simplify]: iters left: 3 (346 enodes) 423.864 * * [simplify]: Extracting #0: cost 1 inf + 0 423.864 * * [simplify]: Extracting #1: cost 0 inf + 1 423.865 * [simplify]: Simplified to 0 423.865 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 423.865 * * * * [progress]: [ 707 / 2246 ] simplifiying candidate # 423.866 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 423.866 * * [simplify]: iters left: 6 (22 enodes) 423.871 * * [simplify]: iters left: 5 (85 enodes) 423.884 * * [simplify]: iters left: 4 (158 enodes) 423.919 * * [simplify]: iters left: 3 (386 enodes) 424.033 * * [simplify]: Extracting #0: cost 1 inf + 0 424.033 * * [simplify]: Extracting #1: cost 11 inf + 0 424.033 * * [simplify]: Extracting #2: cost 96 inf + 0 424.033 * * [simplify]: Extracting #3: cost 178 inf + 2 424.034 * * [simplify]: Extracting #4: cost 181 inf + 126 424.035 * * [simplify]: Extracting #5: cost 160 inf + 4074 424.041 * * [simplify]: Extracting #6: cost 79 inf + 31926 424.055 * * [simplify]: Extracting #7: cost 8 inf + 61567 424.070 * * [simplify]: Extracting #8: cost 0 inf + 64045 424.085 * * [simplify]: Extracting #9: cost 0 inf + 64005 424.102 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) 424.102 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 424.103 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 424.103 * * [simplify]: iters left: 6 (18 enodes) 424.108 * * [simplify]: iters left: 5 (70 enodes) 424.119 * * [simplify]: iters left: 4 (126 enodes) 424.145 * * [simplify]: iters left: 3 (322 enodes) 424.243 * * [simplify]: Extracting #0: cost 1 inf + 0 424.243 * * [simplify]: Extracting #1: cost 0 inf + 1 424.243 * [simplify]: Simplified to 0 424.243 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 424.243 * * * * [progress]: [ 708 / 2246 ] simplifiying candidate # 424.243 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 424.244 * * [simplify]: iters left: 6 (24 enodes) 424.250 * * [simplify]: iters left: 5 (94 enodes) 424.264 * * [simplify]: iters left: 4 (147 enodes) 424.292 * * [simplify]: iters left: 3 (328 enodes) 424.372 * * [simplify]: Extracting #0: cost 1 inf + 0 424.372 * * [simplify]: Extracting #1: cost 11 inf + 0 424.372 * * [simplify]: Extracting #2: cost 83 inf + 0 424.373 * * [simplify]: Extracting #3: cost 161 inf + 1 424.373 * * [simplify]: Extracting #4: cost 163 inf + 368 424.374 * * [simplify]: Extracting #5: cost 161 inf + 628 424.375 * * [simplify]: Extracting #6: cost 140 inf + 5619 424.379 * * [simplify]: Extracting #7: cost 80 inf + 25302 424.391 * * [simplify]: Extracting #8: cost 7 inf + 55666 424.403 * * [simplify]: Extracting #9: cost 0 inf + 58922 424.418 * * [simplify]: Extracting #10: cost 0 inf + 58827 424.431 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) 424.431 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 424.431 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 424.431 * * [simplify]: iters left: 6 (19 enodes) 424.437 * * [simplify]: iters left: 5 (75 enodes) 424.449 * * [simplify]: iters left: 4 (111 enodes) 424.468 * * [simplify]: iters left: 3 (244 enodes) 424.530 * * [simplify]: Extracting #0: cost 1 inf + 0 424.530 * * [simplify]: Extracting #1: cost 18 inf + 0 424.531 * * [simplify]: Extracting #2: cost 75 inf + 1 424.531 * * [simplify]: Extracting #3: cost 123 inf + 1 424.532 * * [simplify]: Extracting #4: cost 115 inf + 1708 424.533 * * [simplify]: Extracting #5: cost 83 inf + 10385 424.535 * * [simplify]: Extracting #6: cost 78 inf + 11373 424.543 * * [simplify]: Extracting #7: cost 25 inf + 31967 424.552 * * [simplify]: Extracting #8: cost 0 inf + 41997 424.562 * * [simplify]: Extracting #9: cost 0 inf + 41872 424.572 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 424.572 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))))))) 424.572 * * * * [progress]: [ 709 / 2246 ] simplifiying candidate # 424.572 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 424.572 * * [simplify]: iters left: 6 (24 enodes) 424.579 * * [simplify]: iters left: 5 (94 enodes) 424.593 * * [simplify]: iters left: 4 (147 enodes) 424.620 * * [simplify]: iters left: 3 (328 enodes) 424.700 * * [simplify]: Extracting #0: cost 1 inf + 0 424.700 * * [simplify]: Extracting #1: cost 11 inf + 0 424.700 * * [simplify]: Extracting #2: cost 83 inf + 0 424.701 * * [simplify]: Extracting #3: cost 161 inf + 1 424.701 * * [simplify]: Extracting #4: cost 163 inf + 368 424.702 * * [simplify]: Extracting #5: cost 161 inf + 628 424.703 * * [simplify]: Extracting #6: cost 140 inf + 5619 424.707 * * [simplify]: Extracting #7: cost 80 inf + 25302 424.719 * * [simplify]: Extracting #8: cost 7 inf + 55666 424.731 * * [simplify]: Extracting #9: cost 0 inf + 58922 424.746 * * [simplify]: Extracting #10: cost 0 inf + 58827 424.759 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) 424.759 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 424.759 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 424.759 * * [simplify]: iters left: 6 (19 enodes) 424.765 * * [simplify]: iters left: 5 (75 enodes) 424.776 * * [simplify]: iters left: 4 (111 enodes) 424.795 * * [simplify]: iters left: 3 (244 enodes) 424.858 * * [simplify]: Extracting #0: cost 1 inf + 0 424.858 * * [simplify]: Extracting #1: cost 18 inf + 0 424.858 * * [simplify]: Extracting #2: cost 75 inf + 1 424.859 * * [simplify]: Extracting #3: cost 123 inf + 1 424.859 * * [simplify]: Extracting #4: cost 115 inf + 1708 424.861 * * [simplify]: Extracting #5: cost 83 inf + 10385 424.863 * * [simplify]: Extracting #6: cost 78 inf + 11373 424.869 * * [simplify]: Extracting #7: cost 25 inf + 31967 424.880 * * [simplify]: Extracting #8: cost 0 inf + 41997 424.890 * * [simplify]: Extracting #9: cost 0 inf + 41872 424.900 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 424.900 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))))))) 424.900 * * * * [progress]: [ 710 / 2246 ] simplifiying candidate # 424.900 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 424.900 * * [simplify]: iters left: 6 (22 enodes) 424.906 * * [simplify]: iters left: 5 (85 enodes) 424.919 * * [simplify]: iters left: 4 (158 enodes) 424.953 * * [simplify]: iters left: 3 (386 enodes) 425.066 * * [simplify]: Extracting #0: cost 1 inf + 0 425.066 * * [simplify]: Extracting #1: cost 11 inf + 0 425.067 * * [simplify]: Extracting #2: cost 96 inf + 0 425.067 * * [simplify]: Extracting #3: cost 178 inf + 2 425.068 * * [simplify]: Extracting #4: cost 181 inf + 126 425.069 * * [simplify]: Extracting #5: cost 160 inf + 4074 425.075 * * [simplify]: Extracting #6: cost 79 inf + 31926 425.089 * * [simplify]: Extracting #7: cost 8 inf + 61567 425.104 * * [simplify]: Extracting #8: cost 0 inf + 64045 425.119 * * [simplify]: Extracting #9: cost 0 inf + 64005 425.134 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) 425.134 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 425.134 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 425.134 * * [simplify]: iters left: 6 (18 enodes) 425.141 * * [simplify]: iters left: 5 (70 enodes) 425.152 * * [simplify]: iters left: 4 (126 enodes) 425.178 * * [simplify]: iters left: 3 (322 enodes) 425.275 * * [simplify]: Extracting #0: cost 1 inf + 0 425.275 * * [simplify]: Extracting #1: cost 0 inf + 1 425.275 * [simplify]: Simplified to 0 425.275 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 425.275 * * * * [progress]: [ 711 / 2246 ] simplifiying candidate # 425.276 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 425.276 * * [simplify]: iters left: 6 (20 enodes) 425.280 * * [simplify]: iters left: 5 (81 enodes) 425.293 * * [simplify]: iters left: 4 (164 enodes) 425.327 * * [simplify]: iters left: 3 (391 enodes) 425.433 * * [simplify]: Extracting #0: cost 1 inf + 0 425.434 * * [simplify]: Extracting #1: cost 17 inf + 0 425.434 * * [simplify]: Extracting #2: cost 104 inf + 0 425.434 * * [simplify]: Extracting #3: cost 200 inf + 1 425.435 * * [simplify]: Extracting #4: cost 203 inf + 44 425.436 * * [simplify]: Extracting #5: cost 189 inf + 1883 425.437 * * [simplify]: Extracting #6: cost 179 inf + 4098 425.439 * * [simplify]: Extracting #7: cost 176 inf + 4850 425.443 * * [simplify]: Extracting #8: cost 136 inf + 22055 425.461 * * [simplify]: Extracting #9: cost 29 inf + 74707 425.484 * * [simplify]: Extracting #10: cost 0 inf + 90071 425.508 * * [simplify]: Extracting #11: cost 0 inf + 89871 425.532 * * [simplify]: Extracting #12: cost 0 inf + 89831 425.556 * [simplify]: Simplified to (* (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (- (/ (sqrt 1/2) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ (sqrt 1/2) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (* (sqrt (hypot 1 x)) (sqrt (hypot 1 x)))))) 425.556 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (- (/ (sqrt 1/2) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ (sqrt 1/2) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (* (sqrt (hypot 1 x)) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 425.557 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 425.557 * * [simplify]: iters left: 6 (18 enodes) 425.561 * * [simplify]: iters left: 5 (72 enodes) 425.572 * * [simplify]: iters left: 4 (139 enodes) 425.600 * * [simplify]: iters left: 3 (344 enodes) 425.693 * * [simplify]: Extracting #0: cost 1 inf + 0 425.693 * * [simplify]: Extracting #1: cost 0 inf + 1 425.693 * [simplify]: Simplified to 0 425.693 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 425.694 * * * * [progress]: [ 712 / 2246 ] simplifiying candidate # 425.694 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 425.694 * * [simplify]: iters left: 6 (20 enodes) 425.698 * * [simplify]: iters left: 5 (76 enodes) 425.710 * * [simplify]: iters left: 4 (130 enodes) 425.734 * * [simplify]: iters left: 3 (278 enodes) 425.791 * * [simplify]: Extracting #0: cost 1 inf + 0 425.791 * * [simplify]: Extracting #1: cost 9 inf + 0 425.791 * * [simplify]: Extracting #2: cost 78 inf + 0 425.791 * * [simplify]: Extracting #3: cost 148 inf + 1 425.792 * * [simplify]: Extracting #4: cost 149 inf + 166 425.792 * * [simplify]: Extracting #5: cost 148 inf + 305 425.793 * * [simplify]: Extracting #6: cost 126 inf + 4195 425.798 * * [simplify]: Extracting #7: cost 61 inf + 27290 425.810 * * [simplify]: Extracting #8: cost 2 inf + 52876 425.823 * * [simplify]: Extracting #9: cost 0 inf + 53832 425.836 * [simplify]: Simplified to (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 425.836 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 425.836 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 425.836 * * [simplify]: iters left: 6 (16 enodes) 425.840 * * [simplify]: iters left: 5 (62 enodes) 425.850 * * [simplify]: iters left: 4 (105 enodes) 425.870 * * [simplify]: iters left: 3 (234 enodes) 425.921 * * [simplify]: Extracting #0: cost 1 inf + 0 425.921 * * [simplify]: Extracting #1: cost 0 inf + 1 425.921 * [simplify]: Simplified to 0 425.921 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 425.921 * * * * [progress]: [ 713 / 2246 ] simplifiying candidate # 425.921 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 425.921 * * [simplify]: iters left: 6 (20 enodes) 425.926 * * [simplify]: iters left: 5 (78 enodes) 425.938 * * [simplify]: iters left: 4 (142 enodes) 425.965 * * [simplify]: iters left: 3 (308 enodes) 426.042 * * [simplify]: Extracting #0: cost 1 inf + 0 426.042 * * [simplify]: Extracting #1: cost 11 inf + 0 426.042 * * [simplify]: Extracting #2: cost 78 inf + 0 426.042 * * [simplify]: Extracting #3: cost 134 inf + 2 426.043 * * [simplify]: Extracting #4: cost 133 inf + 329 426.043 * * [simplify]: Extracting #5: cost 130 inf + 648 426.044 * * [simplify]: Extracting #6: cost 113 inf + 4209 426.050 * * [simplify]: Extracting #7: cost 25 inf + 33437 426.060 * * [simplify]: Extracting #8: cost 1 inf + 42460 426.070 * * [simplify]: Extracting #9: cost 0 inf + 43068 426.081 * [simplify]: Simplified to (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) 426.081 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))))) 426.081 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1))) 426.081 * * [simplify]: iters left: 6 (16 enodes) 426.085 * * [simplify]: iters left: 5 (63 enodes) 426.095 * * [simplify]: iters left: 4 (113 enodes) 426.118 * * [simplify]: iters left: 3 (256 enodes) 426.183 * * [simplify]: Extracting #0: cost 1 inf + 0 426.183 * * [simplify]: Extracting #1: cost 0 inf + 1 426.183 * [simplify]: Simplified to 0 426.183 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 0))) 426.183 * * * * [progress]: [ 714 / 2246 ] simplifiying candidate # 426.183 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 426.184 * * [simplify]: iters left: 6 (22 enodes) 426.189 * * [simplify]: iters left: 5 (87 enodes) 426.201 * * [simplify]: iters left: 4 (136 enodes) 426.225 * * [simplify]: iters left: 3 (291 enodes) 426.289 * * [simplify]: Extracting #0: cost 1 inf + 0 426.289 * * [simplify]: Extracting #1: cost 11 inf + 0 426.290 * * [simplify]: Extracting #2: cost 76 inf + 0 426.290 * * [simplify]: Extracting #3: cost 127 inf + 1 426.292 * * [simplify]: Extracting #4: cost 129 inf + 166 426.292 * * [simplify]: Extracting #5: cost 125 inf + 628 426.293 * * [simplify]: Extracting #6: cost 106 inf + 4104 426.296 * * [simplify]: Extracting #7: cost 68 inf + 14683 426.303 * * [simplify]: Extracting #8: cost 10 inf + 37282 426.313 * * [simplify]: Extracting #9: cost 0 inf + 41652 426.322 * * [simplify]: Extracting #10: cost 0 inf + 41557 426.332 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) 426.332 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))))) 426.332 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)))) 426.332 * * [simplify]: iters left: 6 (17 enodes) 426.337 * * [simplify]: iters left: 5 (68 enodes) 426.347 * * [simplify]: iters left: 4 (101 enodes) 426.364 * * [simplify]: iters left: 3 (206 enodes) 426.408 * * [simplify]: iters left: 2 (407 enodes) 426.517 * * [simplify]: Extracting #0: cost 1 inf + 0 426.517 * * [simplify]: Extracting #1: cost 0 inf + 1 426.517 * [simplify]: Simplified to 0 426.517 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 426.517 * * * * [progress]: [ 715 / 2246 ] simplifiying candidate # 426.517 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 426.517 * * [simplify]: iters left: 6 (22 enodes) 426.523 * * [simplify]: iters left: 5 (87 enodes) 426.535 * * [simplify]: iters left: 4 (136 enodes) 426.561 * * [simplify]: iters left: 3 (291 enodes) 426.625 * * [simplify]: Extracting #0: cost 1 inf + 0 426.625 * * [simplify]: Extracting #1: cost 11 inf + 0 426.625 * * [simplify]: Extracting #2: cost 76 inf + 0 426.626 * * [simplify]: Extracting #3: cost 127 inf + 1 426.626 * * [simplify]: Extracting #4: cost 129 inf + 166 426.626 * * [simplify]: Extracting #5: cost 125 inf + 628 426.628 * * [simplify]: Extracting #6: cost 106 inf + 4104 426.630 * * [simplify]: Extracting #7: cost 68 inf + 14683 426.638 * * [simplify]: Extracting #8: cost 10 inf + 37282 426.648 * * [simplify]: Extracting #9: cost 0 inf + 41652 426.657 * * [simplify]: Extracting #10: cost 0 inf + 41557 426.666 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) 426.667 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))))) 426.667 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)))) 426.667 * * [simplify]: iters left: 6 (17 enodes) 426.673 * * [simplify]: iters left: 5 (68 enodes) 426.683 * * [simplify]: iters left: 4 (101 enodes) 426.700 * * [simplify]: iters left: 3 (206 enodes) 426.745 * * [simplify]: iters left: 2 (407 enodes) 426.854 * * [simplify]: Extracting #0: cost 1 inf + 0 426.854 * * [simplify]: Extracting #1: cost 0 inf + 1 426.854 * [simplify]: Simplified to 0 426.854 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 426.855 * * * * [progress]: [ 716 / 2246 ] simplifiying candidate # 426.855 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 426.855 * * [simplify]: iters left: 6 (20 enodes) 426.860 * * [simplify]: iters left: 5 (78 enodes) 426.872 * * [simplify]: iters left: 4 (142 enodes) 426.899 * * [simplify]: iters left: 3 (308 enodes) 426.975 * * [simplify]: Extracting #0: cost 1 inf + 0 426.975 * * [simplify]: Extracting #1: cost 11 inf + 0 426.976 * * [simplify]: Extracting #2: cost 78 inf + 0 426.976 * * [simplify]: Extracting #3: cost 134 inf + 2 426.976 * * [simplify]: Extracting #4: cost 133 inf + 329 426.977 * * [simplify]: Extracting #5: cost 130 inf + 648 426.978 * * [simplify]: Extracting #6: cost 113 inf + 4209 426.984 * * [simplify]: Extracting #7: cost 25 inf + 33437 426.994 * * [simplify]: Extracting #8: cost 1 inf + 42460 427.004 * * [simplify]: Extracting #9: cost 0 inf + 43068 427.014 * [simplify]: Simplified to (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) 427.014 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))))) 427.015 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1))) 427.015 * * [simplify]: iters left: 6 (16 enodes) 427.019 * * [simplify]: iters left: 5 (63 enodes) 427.029 * * [simplify]: iters left: 4 (113 enodes) 427.052 * * [simplify]: iters left: 3 (256 enodes) 427.117 * * [simplify]: Extracting #0: cost 1 inf + 0 427.117 * * [simplify]: Extracting #1: cost 0 inf + 1 427.117 * [simplify]: Simplified to 0 427.117 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 0))) 427.117 * * * * [progress]: [ 717 / 2246 ] simplifiying candidate # 427.117 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 427.118 * * [simplify]: iters left: 6 (20 enodes) 427.122 * * [simplify]: iters left: 5 (78 enodes) 427.135 * * [simplify]: iters left: 4 (174 enodes) 427.177 * * [simplify]: iters left: 3 (415 enodes) 427.297 * * [simplify]: Extracting #0: cost 1 inf + 0 427.297 * * [simplify]: Extracting #1: cost 28 inf + 0 427.297 * * [simplify]: Extracting #2: cost 108 inf + 1 427.298 * * [simplify]: Extracting #3: cost 156 inf + 166 427.299 * * [simplify]: Extracting #4: cost 147 inf + 901 427.300 * * [simplify]: Extracting #5: cost 138 inf + 2441 427.301 * * [simplify]: Extracting #6: cost 134 inf + 3273 427.308 * * [simplify]: Extracting #7: cost 55 inf + 36900 427.326 * * [simplify]: Extracting #8: cost 2 inf + 61655 427.347 * * [simplify]: Extracting #9: cost 0 inf + 62771 427.366 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) 427.366 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 427.367 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 427.367 * * [simplify]: iters left: 6 (18 enodes) 427.371 * * [simplify]: iters left: 5 (71 enodes) 427.382 * * [simplify]: iters left: 4 (135 enodes) 427.411 * * [simplify]: iters left: 3 (317 enodes) 427.501 * * [simplify]: Extracting #0: cost 1 inf + 0 427.501 * * [simplify]: Extracting #1: cost 0 inf + 1 427.501 * [simplify]: Simplified to 0 427.501 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 427.502 * * * * [progress]: [ 718 / 2246 ] simplifiying candidate # 427.502 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 427.502 * * [simplify]: iters left: 6 (21 enodes) 427.507 * * [simplify]: iters left: 5 (82 enodes) 427.522 * * [simplify]: iters left: 4 (147 enodes) 427.549 * * [simplify]: iters left: 3 (313 enodes) 427.617 * * [simplify]: Extracting #0: cost 1 inf + 0 427.617 * * [simplify]: Extracting #1: cost 11 inf + 0 427.617 * * [simplify]: Extracting #2: cost 80 inf + 0 427.617 * * [simplify]: Extracting #3: cost 126 inf + 44 427.618 * * [simplify]: Extracting #4: cost 121 inf + 525 427.619 * * [simplify]: Extracting #5: cost 107 inf + 3058 427.623 * * [simplify]: Extracting #6: cost 46 inf + 23879 427.633 * * [simplify]: Extracting #7: cost 2 inf + 40790 427.644 * * [simplify]: Extracting #8: cost 0 inf + 41666 427.656 * [simplify]: Simplified to (- (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 427.656 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 427.656 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 427.657 * * [simplify]: iters left: 6 (17 enodes) 427.661 * * [simplify]: iters left: 5 (66 enodes) 427.671 * * [simplify]: iters left: 4 (111 enodes) 427.691 * * [simplify]: iters left: 3 (224 enodes) 427.741 * * [simplify]: iters left: 2 (415 enodes) 427.838 * * [simplify]: Extracting #0: cost 1 inf + 0 427.838 * * [simplify]: Extracting #1: cost 0 inf + 1 427.838 * [simplify]: Simplified to 0 427.838 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 427.838 * * * * [progress]: [ 719 / 2246 ] simplifiying candidate # 427.839 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 427.839 * * [simplify]: iters left: 6 (20 enodes) 427.843 * * [simplify]: iters left: 5 (73 enodes) 427.855 * * [simplify]: iters left: 4 (134 enodes) 427.877 * * [simplify]: iters left: 3 (242 enodes) 427.923 * * [simplify]: iters left: 2 (441 enodes) 428.019 * * [simplify]: Extracting #0: cost 1 inf + 0 428.019 * * [simplify]: Extracting #1: cost 14 inf + 0 428.019 * * [simplify]: Extracting #2: cost 60 inf + 0 428.019 * * [simplify]: Extracting #3: cost 100 inf + 44 428.020 * * [simplify]: Extracting #4: cost 91 inf + 950 428.021 * * [simplify]: Extracting #5: cost 72 inf + 4542 428.027 * * [simplify]: Extracting #6: cost 8 inf + 26707 428.035 * * [simplify]: Extracting #7: cost 0 inf + 29261 428.043 * [simplify]: Simplified to (- (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 428.043 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))))) 428.043 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1))) 428.043 * * [simplify]: iters left: 6 (16 enodes) 428.047 * * [simplify]: iters left: 5 (58 enodes) 428.057 * * [simplify]: iters left: 4 (106 enodes) 428.076 * * [simplify]: iters left: 3 (186 enodes) 428.113 * * [simplify]: iters left: 2 (342 enodes) 428.186 * * [simplify]: iters left: 1 (486 enodes) 428.284 * * [simplify]: Extracting #0: cost 1 inf + 0 428.284 * * [simplify]: Extracting #1: cost 0 inf + 1 428.284 * [simplify]: Simplified to 0 428.284 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 0))) 428.284 * * * * [progress]: [ 720 / 2246 ] simplifiying candidate # 428.285 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 428.285 * * [simplify]: iters left: 6 (22 enodes) 428.291 * * [simplify]: iters left: 5 (86 enodes) 428.305 * * [simplify]: iters left: 4 (138 enodes) 428.327 * * [simplify]: iters left: 3 (250 enodes) 428.367 * * [simplify]: iters left: 2 (410 enodes) 428.449 * * [simplify]: Extracting #0: cost 1 inf + 0 428.449 * * [simplify]: Extracting #1: cost 14 inf + 0 428.449 * * [simplify]: Extracting #2: cost 62 inf + 0 428.450 * * [simplify]: Extracting #3: cost 97 inf + 3 428.450 * * [simplify]: Extracting #4: cost 92 inf + 519 428.451 * * [simplify]: Extracting #5: cost 76 inf + 2877 428.454 * * [simplify]: Extracting #6: cost 42 inf + 11968 428.460 * * [simplify]: Extracting #7: cost 8 inf + 24498 428.467 * * [simplify]: Extracting #8: cost 0 inf + 28312 428.475 * * [simplify]: Extracting #9: cost 0 inf + 28201 428.483 * [simplify]: Simplified to (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 428.483 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))))) 428.483 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1)))) 428.483 * * [simplify]: iters left: 6 (17 enodes) 428.489 * * [simplify]: iters left: 5 (66 enodes) 428.500 * * [simplify]: iters left: 4 (101 enodes) 428.515 * * [simplify]: iters left: 3 (170 enodes) 428.543 * * [simplify]: iters left: 2 (266 enodes) 428.592 * * [simplify]: iters left: 1 (380 enodes) 428.676 * * [simplify]: Extracting #0: cost 1 inf + 0 428.676 * * [simplify]: Extracting #1: cost 0 inf + 1 428.676 * [simplify]: Simplified to 0 428.676 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 428.676 * * * * [progress]: [ 721 / 2246 ] simplifiying candidate # 428.676 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 428.677 * * [simplify]: iters left: 6 (22 enodes) 428.683 * * [simplify]: iters left: 5 (86 enodes) 428.695 * * [simplify]: iters left: 4 (138 enodes) 428.716 * * [simplify]: iters left: 3 (250 enodes) 428.756 * * [simplify]: iters left: 2 (410 enodes) 428.838 * * [simplify]: Extracting #0: cost 1 inf + 0 428.838 * * [simplify]: Extracting #1: cost 14 inf + 0 428.838 * * [simplify]: Extracting #2: cost 62 inf + 0 428.838 * * [simplify]: Extracting #3: cost 97 inf + 3 428.839 * * [simplify]: Extracting #4: cost 92 inf + 519 428.839 * * [simplify]: Extracting #5: cost 76 inf + 2877 428.842 * * [simplify]: Extracting #6: cost 42 inf + 11968 428.848 * * [simplify]: Extracting #7: cost 8 inf + 24498 428.857 * * [simplify]: Extracting #8: cost 0 inf + 28312 428.865 * * [simplify]: Extracting #9: cost 0 inf + 28201 428.873 * [simplify]: Simplified to (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 428.873 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))))) 428.873 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1)))) 428.873 * * [simplify]: iters left: 6 (17 enodes) 428.879 * * [simplify]: iters left: 5 (66 enodes) 428.888 * * [simplify]: iters left: 4 (101 enodes) 428.903 * * [simplify]: iters left: 3 (170 enodes) 428.932 * * [simplify]: iters left: 2 (266 enodes) 428.980 * * [simplify]: iters left: 1 (380 enodes) 429.061 * * [simplify]: Extracting #0: cost 1 inf + 0 429.061 * * [simplify]: Extracting #1: cost 0 inf + 1 429.061 * [simplify]: Simplified to 0 429.062 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 429.062 * * * * [progress]: [ 722 / 2246 ] simplifiying candidate # 429.062 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 429.062 * * [simplify]: iters left: 6 (20 enodes) 429.067 * * [simplify]: iters left: 5 (73 enodes) 429.078 * * [simplify]: iters left: 4 (134 enodes) 429.102 * * [simplify]: iters left: 3 (242 enodes) 429.146 * * [simplify]: iters left: 2 (441 enodes) 429.242 * * [simplify]: Extracting #0: cost 1 inf + 0 429.242 * * [simplify]: Extracting #1: cost 14 inf + 0 429.242 * * [simplify]: Extracting #2: cost 60 inf + 0 429.243 * * [simplify]: Extracting #3: cost 100 inf + 44 429.243 * * [simplify]: Extracting #4: cost 91 inf + 950 429.244 * * [simplify]: Extracting #5: cost 72 inf + 4542 429.249 * * [simplify]: Extracting #6: cost 8 inf + 26707 429.258 * * [simplify]: Extracting #7: cost 0 inf + 29261 429.266 * [simplify]: Simplified to (- (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 429.266 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))))) 429.266 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1))) 429.266 * * [simplify]: iters left: 6 (16 enodes) 429.270 * * [simplify]: iters left: 5 (58 enodes) 429.281 * * [simplify]: iters left: 4 (106 enodes) 429.298 * * [simplify]: iters left: 3 (186 enodes) 429.335 * * [simplify]: iters left: 2 (342 enodes) 429.407 * * [simplify]: iters left: 1 (486 enodes) 429.505 * * [simplify]: Extracting #0: cost 1 inf + 0 429.505 * * [simplify]: Extracting #1: cost 0 inf + 1 429.505 * [simplify]: Simplified to 0 429.505 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 0))) 429.505 * * * * [progress]: [ 723 / 2246 ] simplifiying candidate # 429.505 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 429.506 * * [simplify]: iters left: 6 (22 enodes) 429.511 * * [simplify]: iters left: 5 (90 enodes) 429.526 * * [simplify]: iters left: 4 (198 enodes) 429.571 * * [simplify]: Extracting #0: cost 1 inf + 0 429.571 * * [simplify]: Extracting #1: cost 11 inf + 0 429.571 * * [simplify]: Extracting #2: cost 105 inf + 0 429.572 * * [simplify]: Extracting #3: cost 177 inf + 45 429.572 * * [simplify]: Extracting #4: cost 179 inf + 167 429.573 * * [simplify]: Extracting #5: cost 173 inf + 1129 429.574 * * [simplify]: Extracting #6: cost 155 inf + 5564 429.576 * * [simplify]: Extracting #7: cost 127 inf + 15645 429.588 * * [simplify]: Extracting #8: cost 28 inf + 63890 429.603 * * [simplify]: Extracting #9: cost 1 inf + 76979 429.620 * * [simplify]: Extracting #10: cost 0 inf + 77677 429.636 * [simplify]: Simplified to (- (/ (* (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (* (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (hypot 1 x))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (hypot 1 x))))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (hypot 1 x))))) 429.636 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (sqrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (* (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (hypot 1 x))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (hypot 1 x))))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 429.637 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 429.637 * * [simplify]: iters left: 6 (19 enodes) 429.641 * * [simplify]: iters left: 5 (78 enodes) 429.655 * * [simplify]: iters left: 4 (164 enodes) 429.693 * * [simplify]: iters left: 3 (469 enodes) 429.944 * * [simplify]: Extracting #0: cost 1 inf + 0 429.944 * * [simplify]: Extracting #1: cost 0 inf + 1 429.944 * [simplify]: Simplified to 0 429.944 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 429.944 * * * * [progress]: [ 724 / 2246 ] simplifiying candidate # 429.944 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 429.944 * * [simplify]: iters left: 6 (23 enodes) 429.950 * * [simplify]: iters left: 5 (91 enodes) 429.968 * * [simplify]: iters left: 4 (174 enodes) 430.002 * * [simplify]: iters left: 3 (414 enodes) 430.151 * * [simplify]: Extracting #0: cost 1 inf + 0 430.151 * * [simplify]: Extracting #1: cost 11 inf + 0 430.151 * * [simplify]: Extracting #2: cost 137 inf + 0 430.152 * * [simplify]: Extracting #3: cost 251 inf + 45 430.153 * * [simplify]: Extracting #4: cost 254 inf + 86 430.154 * * [simplify]: Extracting #5: cost 241 inf + 2492 430.159 * * [simplify]: Extracting #6: cost 167 inf + 25412 430.178 * * [simplify]: Extracting #7: cost 27 inf + 86203 430.205 * * [simplify]: Extracting #8: cost 0 inf + 98249 430.230 * * [simplify]: Extracting #9: cost 0 inf + 98193 430.255 * [simplify]: Simplified to (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ 1/2 (* (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))))) 430.255 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ 1/2 (* (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 430.255 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 430.256 * * [simplify]: iters left: 6 (18 enodes) 430.260 * * [simplify]: iters left: 5 (73 enodes) 430.272 * * [simplify]: iters left: 4 (136 enodes) 430.300 * * [simplify]: iters left: 3 (336 enodes) 430.430 * * [simplify]: Extracting #0: cost 1 inf + 0 430.430 * * [simplify]: Extracting #1: cost 0 inf + 1 430.430 * [simplify]: Simplified to 0 430.430 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 430.430 * * * * [progress]: [ 725 / 2246 ] simplifiying candidate # 430.430 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 430.430 * * [simplify]: iters left: 6 (22 enodes) 430.435 * * [simplify]: iters left: 5 (86 enodes) 430.453 * * [simplify]: iters left: 4 (165 enodes) 430.486 * * [simplify]: iters left: 3 (368 enodes) 430.607 * * [simplify]: Extracting #0: cost 1 inf + 0 430.607 * * [simplify]: Extracting #1: cost 11 inf + 0 430.607 * * [simplify]: Extracting #2: cost 111 inf + 0 430.608 * * [simplify]: Extracting #3: cost 168 inf + 45 430.609 * * [simplify]: Extracting #4: cost 171 inf + 87 430.609 * * [simplify]: Extracting #5: cost 171 inf + 145 430.611 * * [simplify]: Extracting #6: cost 140 inf + 6389 430.620 * * [simplify]: Extracting #7: cost 39 inf + 40952 430.633 * * [simplify]: Extracting #8: cost 2 inf + 55026 430.647 * * [simplify]: Extracting #9: cost 0 inf + 55984 430.660 * [simplify]: Simplified to (+ (/ (/ (/ -1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) 430.660 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ (/ (/ -1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 430.661 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 430.661 * * [simplify]: iters left: 6 (17 enodes) 430.665 * * [simplify]: iters left: 5 (68 enodes) 430.677 * * [simplify]: iters left: 4 (127 enodes) 430.705 * * [simplify]: iters left: 3 (292 enodes) 430.808 * * [simplify]: Extracting #0: cost 1 inf + 0 430.808 * * [simplify]: Extracting #1: cost 0 inf + 1 430.808 * [simplify]: Simplified to 0 430.808 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 430.808 * * * * [progress]: [ 726 / 2246 ] simplifiying candidate # 430.809 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 430.809 * * [simplify]: iters left: 6 (24 enodes) 430.815 * * [simplify]: iters left: 5 (95 enodes) 430.829 * * [simplify]: iters left: 4 (151 enodes) 430.856 * * [simplify]: iters left: 3 (327 enodes) 430.947 * * [simplify]: Extracting #0: cost 1 inf + 0 430.947 * * [simplify]: Extracting #1: cost 11 inf + 0 430.947 * * [simplify]: Extracting #2: cost 99 inf + 0 430.948 * * [simplify]: Extracting #3: cost 164 inf + 45 430.948 * * [simplify]: Extracting #4: cost 167 inf + 87 430.949 * * [simplify]: Extracting #5: cost 168 inf + 88 430.950 * * [simplify]: Extracting #6: cost 166 inf + 381 430.951 * * [simplify]: Extracting #7: cost 145 inf + 4113 430.954 * * [simplify]: Extracting #8: cost 79 inf + 22507 430.964 * * [simplify]: Extracting #9: cost 6 inf + 51096 430.976 * * [simplify]: Extracting #10: cost 0 inf + 53593 430.987 * * [simplify]: Extracting #11: cost 0 inf + 53537 431.001 * [simplify]: Simplified to (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))))) 431.001 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 431.001 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 431.002 * * [simplify]: iters left: 6 (18 enodes) 431.007 * * [simplify]: iters left: 5 (73 enodes) 431.018 * * [simplify]: iters left: 4 (112 enodes) 431.037 * * [simplify]: iters left: 3 (236 enodes) 431.107 * * [simplify]: Extracting #0: cost 1 inf + 0 431.108 * * [simplify]: Extracting #1: cost 20 inf + 0 431.108 * * [simplify]: Extracting #2: cost 95 inf + 1 431.108 * * [simplify]: Extracting #3: cost 118 inf + 4 431.109 * * [simplify]: Extracting #4: cost 111 inf + 1145 431.110 * * [simplify]: Extracting #5: cost 86 inf + 6974 431.112 * * [simplify]: Extracting #6: cost 75 inf + 9748 431.114 * * [simplify]: Extracting #7: cost 70 inf + 10597 431.119 * * [simplify]: Extracting #8: cost 17 inf + 29887 431.129 * * [simplify]: Extracting #9: cost 0 inf + 36382 431.138 * * [simplify]: Extracting #10: cost 0 inf + 36332 431.147 * [simplify]: Simplified to (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 431.147 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) 431.147 * * * * [progress]: [ 727 / 2246 ] simplifiying candidate # 431.147 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 431.147 * * [simplify]: iters left: 6 (24 enodes) 431.154 * * [simplify]: iters left: 5 (95 enodes) 431.168 * * [simplify]: iters left: 4 (151 enodes) 431.195 * * [simplify]: iters left: 3 (327 enodes) 431.285 * * [simplify]: Extracting #0: cost 1 inf + 0 431.285 * * [simplify]: Extracting #1: cost 11 inf + 0 431.286 * * [simplify]: Extracting #2: cost 99 inf + 0 431.286 * * [simplify]: Extracting #3: cost 164 inf + 45 431.287 * * [simplify]: Extracting #4: cost 167 inf + 87 431.287 * * [simplify]: Extracting #5: cost 168 inf + 88 431.288 * * [simplify]: Extracting #6: cost 166 inf + 381 431.289 * * [simplify]: Extracting #7: cost 145 inf + 4113 431.292 * * [simplify]: Extracting #8: cost 79 inf + 22507 431.303 * * [simplify]: Extracting #9: cost 6 inf + 51096 431.314 * * [simplify]: Extracting #10: cost 0 inf + 53593 431.328 * * [simplify]: Extracting #11: cost 0 inf + 53537 431.340 * [simplify]: Simplified to (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))))) 431.340 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 431.340 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 431.340 * * [simplify]: iters left: 6 (18 enodes) 431.345 * * [simplify]: iters left: 5 (73 enodes) 431.357 * * [simplify]: iters left: 4 (112 enodes) 431.376 * * [simplify]: iters left: 3 (236 enodes) 431.446 * * [simplify]: Extracting #0: cost 1 inf + 0 431.446 * * [simplify]: Extracting #1: cost 20 inf + 0 431.446 * * [simplify]: Extracting #2: cost 95 inf + 1 431.448 * * [simplify]: Extracting #3: cost 118 inf + 4 431.449 * * [simplify]: Extracting #4: cost 111 inf + 1145 431.450 * * [simplify]: Extracting #5: cost 86 inf + 6974 431.452 * * [simplify]: Extracting #6: cost 75 inf + 9748 431.453 * * [simplify]: Extracting #7: cost 70 inf + 10597 431.459 * * [simplify]: Extracting #8: cost 17 inf + 29887 431.467 * * [simplify]: Extracting #9: cost 0 inf + 36382 431.476 * * [simplify]: Extracting #10: cost 0 inf + 36332 431.485 * [simplify]: Simplified to (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 431.485 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) 431.485 * * * * [progress]: [ 728 / 2246 ] simplifiying candidate # 431.485 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 431.485 * * [simplify]: iters left: 6 (22 enodes) 431.491 * * [simplify]: iters left: 5 (86 enodes) 431.505 * * [simplify]: iters left: 4 (165 enodes) 431.540 * * [simplify]: iters left: 3 (368 enodes) 431.662 * * [simplify]: Extracting #0: cost 1 inf + 0 431.662 * * [simplify]: Extracting #1: cost 11 inf + 0 431.662 * * [simplify]: Extracting #2: cost 111 inf + 0 431.663 * * [simplify]: Extracting #3: cost 168 inf + 45 431.663 * * [simplify]: Extracting #4: cost 171 inf + 87 431.664 * * [simplify]: Extracting #5: cost 171 inf + 145 431.665 * * [simplify]: Extracting #6: cost 140 inf + 6389 431.673 * * [simplify]: Extracting #7: cost 39 inf + 40952 431.686 * * [simplify]: Extracting #8: cost 2 inf + 55026 431.702 * * [simplify]: Extracting #9: cost 0 inf + 55984 431.715 * [simplify]: Simplified to (+ (/ (/ (/ -1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) 431.715 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ (/ (/ -1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 431.715 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 431.716 * * [simplify]: iters left: 6 (17 enodes) 431.720 * * [simplify]: iters left: 5 (68 enodes) 431.731 * * [simplify]: iters left: 4 (127 enodes) 431.758 * * [simplify]: iters left: 3 (292 enodes) 431.860 * * [simplify]: Extracting #0: cost 1 inf + 0 431.860 * * [simplify]: Extracting #1: cost 0 inf + 1 431.860 * [simplify]: Simplified to 0 431.860 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 431.861 * * * * [progress]: [ 729 / 2246 ] simplifiying candidate # 431.861 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 431.861 * * [simplify]: iters left: 6 (21 enodes) 431.866 * * [simplify]: iters left: 5 (85 enodes) 431.883 * * [simplify]: iters left: 4 (183 enodes) 431.921 * * [simplify]: iters left: 3 (442 enodes) 432.085 * * [simplify]: Extracting #0: cost 1 inf + 0 432.085 * * [simplify]: Extracting #1: cost 11 inf + 0 432.085 * * [simplify]: Extracting #2: cost 153 inf + 0 432.086 * * [simplify]: Extracting #3: cost 284 inf + 45 432.088 * * [simplify]: Extracting #4: cost 286 inf + 87 432.089 * * [simplify]: Extracting #5: cost 282 inf + 574 432.093 * * [simplify]: Extracting #6: cost 262 inf + 4122 432.098 * * [simplify]: Extracting #7: cost 203 inf + 27631 432.121 * * [simplify]: Extracting #8: cost 45 inf + 101007 432.153 * * [simplify]: Extracting #9: cost 0 inf + 122180 432.185 * * [simplify]: Extracting #10: cost 0 inf + 122060 432.218 * [simplify]: Simplified to (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (sqrt (hypot 1 x))) (* (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (sqrt (hypot 1 x))))) 432.218 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (sqrt (hypot 1 x))) (* (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 432.219 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 432.219 * * [simplify]: iters left: 6 (18 enodes) 432.223 * * [simplify]: iters left: 5 (73 enodes) 432.235 * * [simplify]: iters left: 4 (149 enodes) 432.269 * * [simplify]: iters left: 3 (359 enodes) 432.413 * * [simplify]: Extracting #0: cost 1 inf + 0 432.413 * * [simplify]: Extracting #1: cost 0 inf + 1 432.413 * [simplify]: Simplified to 0 432.413 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 432.414 * * * * [progress]: [ 730 / 2246 ] simplifiying candidate # 432.414 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 432.414 * * [simplify]: iters left: 6 (22 enodes) 432.419 * * [simplify]: iters left: 5 (85 enodes) 432.435 * * [simplify]: iters left: 4 (159 enodes) 432.465 * * [simplify]: iters left: 3 (336 enodes) 432.566 * * [simplify]: Extracting #0: cost 1 inf + 0 432.566 * * [simplify]: Extracting #1: cost 11 inf + 0 432.567 * * [simplify]: Extracting #2: cost 123 inf + 0 432.567 * * [simplify]: Extracting #3: cost 197 inf + 45 432.568 * * [simplify]: Extracting #4: cost 200 inf + 86 432.569 * * [simplify]: Extracting #5: cost 194 inf + 927 432.572 * * [simplify]: Extracting #6: cost 139 inf + 16973 432.585 * * [simplify]: Extracting #7: cost 40 inf + 54072 432.602 * * [simplify]: Extracting #8: cost 0 inf + 69774 432.622 * [simplify]: Simplified to (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (sqrt (hypot 1 x))) (* (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (sqrt (hypot 1 x))))) 432.622 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (sqrt (hypot 1 x))) (* (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 432.623 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 432.623 * * [simplify]: iters left: 6 (17 enodes) 432.627 * * [simplify]: iters left: 5 (67 enodes) 432.638 * * [simplify]: iters left: 4 (121 enodes) 432.661 * * [simplify]: iters left: 3 (261 enodes) 432.747 * * [simplify]: Extracting #0: cost 1 inf + 0 432.747 * * [simplify]: Extracting #1: cost 0 inf + 1 432.747 * [simplify]: Simplified to 0 432.747 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 432.747 * * * * [progress]: [ 731 / 2246 ] simplifiying candidate # 432.748 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 432.748 * * [simplify]: iters left: 6 (21 enodes) 432.753 * * [simplify]: iters left: 5 (81 enodes) 432.766 * * [simplify]: iters left: 4 (145 enodes) 432.796 * * [simplify]: iters left: 3 (291 enodes) 432.878 * * [simplify]: Extracting #0: cost 1 inf + 0 432.878 * * [simplify]: Extracting #1: cost 11 inf + 0 432.879 * * [simplify]: Extracting #2: cost 93 inf + 0 432.879 * * [simplify]: Extracting #3: cost 127 inf + 45 432.880 * * [simplify]: Extracting #4: cost 130 inf + 87 432.880 * * [simplify]: Extracting #5: cost 130 inf + 145 432.881 * * [simplify]: Extracting #6: cost 113 inf + 2940 432.886 * * [simplify]: Extracting #7: cost 28 inf + 29247 432.895 * * [simplify]: Extracting #8: cost 0 inf + 38318 432.904 * * [simplify]: Extracting #9: cost 0 inf + 38193 432.914 * [simplify]: Simplified to (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 432.914 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))))) 432.914 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1))) 432.914 * * [simplify]: iters left: 6 (16 enodes) 432.920 * * [simplify]: iters left: 5 (63 enodes) 432.930 * * [simplify]: iters left: 4 (109 enodes) 432.952 * * [simplify]: iters left: 3 (230 enodes) 433.022 * * [simplify]: Extracting #0: cost 1 inf + 0 433.022 * * [simplify]: Extracting #1: cost 0 inf + 1 433.022 * [simplify]: Simplified to 0 433.022 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 0))) 433.022 * * * * [progress]: [ 732 / 2246 ] simplifiying candidate # 433.022 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 433.022 * * [simplify]: iters left: 6 (23 enodes) 433.028 * * [simplify]: iters left: 5 (90 enodes) 433.044 * * [simplify]: iters left: 4 (140 enodes) 433.069 * * [simplify]: iters left: 3 (297 enodes) 433.144 * * [simplify]: Extracting #0: cost 1 inf + 0 433.145 * * [simplify]: Extracting #1: cost 15 inf + 0 433.145 * * [simplify]: Extracting #2: cost 91 inf + 0 433.145 * * [simplify]: Extracting #3: cost 124 inf + 46 433.146 * * [simplify]: Extracting #4: cost 128 inf + 87 433.146 * * [simplify]: Extracting #5: cost 128 inf + 145 433.147 * * [simplify]: Extracting #6: cost 111 inf + 2742 433.149 * * [simplify]: Extracting #7: cost 73 inf + 11335 433.156 * * [simplify]: Extracting #8: cost 13 inf + 32583 433.166 * * [simplify]: Extracting #9: cost 0 inf + 37396 433.175 * [simplify]: Simplified to (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) 433.175 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))))) 433.175 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)))) 433.175 * * [simplify]: iters left: 6 (17 enodes) 433.180 * * [simplify]: iters left: 5 (68 enodes) 433.191 * * [simplify]: iters left: 4 (102 enodes) 433.208 * * [simplify]: iters left: 3 (202 enodes) 433.259 * * [simplify]: iters left: 2 (433 enodes) 433.433 * * [simplify]: Extracting #0: cost 1 inf + 0 433.433 * * [simplify]: Extracting #1: cost 0 inf + 1 433.433 * [simplify]: Simplified to 0 433.433 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 433.433 * * * * [progress]: [ 733 / 2246 ] simplifiying candidate # 433.434 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 433.436 * * [simplify]: iters left: 6 (23 enodes) 433.442 * * [simplify]: iters left: 5 (90 enodes) 433.455 * * [simplify]: iters left: 4 (140 enodes) 433.480 * * [simplify]: iters left: 3 (297 enodes) 433.554 * * [simplify]: Extracting #0: cost 1 inf + 0 433.554 * * [simplify]: Extracting #1: cost 15 inf + 0 433.555 * * [simplify]: Extracting #2: cost 91 inf + 0 433.555 * * [simplify]: Extracting #3: cost 124 inf + 46 433.555 * * [simplify]: Extracting #4: cost 128 inf + 87 433.557 * * [simplify]: Extracting #5: cost 128 inf + 145 433.558 * * [simplify]: Extracting #6: cost 111 inf + 2742 433.560 * * [simplify]: Extracting #7: cost 73 inf + 11335 433.567 * * [simplify]: Extracting #8: cost 13 inf + 32583 433.576 * * [simplify]: Extracting #9: cost 0 inf + 37396 433.584 * [simplify]: Simplified to (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) 433.585 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))))) 433.585 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)))) 433.585 * * [simplify]: iters left: 6 (17 enodes) 433.590 * * [simplify]: iters left: 5 (68 enodes) 433.600 * * [simplify]: iters left: 4 (102 enodes) 433.618 * * [simplify]: iters left: 3 (202 enodes) 433.668 * * [simplify]: iters left: 2 (433 enodes) 433.843 * * [simplify]: Extracting #0: cost 1 inf + 0 433.843 * * [simplify]: Extracting #1: cost 0 inf + 1 433.843 * [simplify]: Simplified to 0 433.843 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 433.843 * * * * [progress]: [ 734 / 2246 ] simplifiying candidate # 433.843 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 433.843 * * [simplify]: iters left: 6 (21 enodes) 433.848 * * [simplify]: iters left: 5 (81 enodes) 433.862 * * [simplify]: iters left: 4 (145 enodes) 433.889 * * [simplify]: iters left: 3 (291 enodes) 433.973 * * [simplify]: Extracting #0: cost 1 inf + 0 433.973 * * [simplify]: Extracting #1: cost 11 inf + 0 433.974 * * [simplify]: Extracting #2: cost 93 inf + 0 433.974 * * [simplify]: Extracting #3: cost 127 inf + 45 433.974 * * [simplify]: Extracting #4: cost 130 inf + 87 433.975 * * [simplify]: Extracting #5: cost 130 inf + 145 433.976 * * [simplify]: Extracting #6: cost 113 inf + 2940 433.981 * * [simplify]: Extracting #7: cost 28 inf + 29247 433.990 * * [simplify]: Extracting #8: cost 0 inf + 38318 433.999 * * [simplify]: Extracting #9: cost 0 inf + 38193 434.009 * [simplify]: Simplified to (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 434.009 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))))) 434.009 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1))) 434.009 * * [simplify]: iters left: 6 (16 enodes) 434.013 * * [simplify]: iters left: 5 (63 enodes) 434.025 * * [simplify]: iters left: 4 (109 enodes) 434.047 * * [simplify]: iters left: 3 (230 enodes) 434.117 * * [simplify]: Extracting #0: cost 1 inf + 0 434.117 * * [simplify]: Extracting #1: cost 0 inf + 1 434.117 * [simplify]: Simplified to 0 434.117 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 0))) 434.117 * * * * [progress]: [ 735 / 2246 ] simplifiying candidate # 434.118 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 434.118 * * [simplify]: iters left: 6 (19 enodes) 434.122 * * [simplify]: iters left: 5 (75 enodes) 434.135 * * [simplify]: iters left: 4 (155 enodes) 434.168 * * [simplify]: iters left: 3 (355 enodes) 434.287 * * [simplify]: Extracting #0: cost 1 inf + 0 434.287 * * [simplify]: Extracting #1: cost 11 inf + 0 434.287 * * [simplify]: Extracting #2: cost 122 inf + 0 434.288 * * [simplify]: Extracting #3: cost 175 inf + 45 434.289 * * [simplify]: Extracting #4: cost 173 inf + 242 434.290 * * [simplify]: Extracting #5: cost 169 inf + 788 434.291 * * [simplify]: Extracting #6: cost 149 inf + 7974 434.300 * * [simplify]: Extracting #7: cost 57 inf + 44214 434.319 * * [simplify]: Extracting #8: cost 0 inf + 68393 434.336 * * [simplify]: Extracting #9: cost 0 inf + 68392 434.353 * [simplify]: Simplified to (- (/ 1/2 (* (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) 434.353 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (* (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 434.353 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 434.354 * * [simplify]: iters left: 6 (16 enodes) 434.358 * * [simplify]: iters left: 5 (63 enodes) 434.368 * * [simplify]: iters left: 4 (123 enodes) 434.395 * * [simplify]: iters left: 3 (281 enodes) 434.490 * * [simplify]: Extracting #0: cost 1 inf + 0 434.490 * * [simplify]: Extracting #1: cost 0 inf + 1 434.490 * [simplify]: Simplified to 0 434.490 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 434.491 * * * * [progress]: [ 736 / 2246 ] simplifiying candidate # 434.491 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 434.491 * * [simplify]: iters left: 6 (20 enodes) 434.498 * * [simplify]: iters left: 5 (76 enodes) 434.510 * * [simplify]: iters left: 4 (137 enodes) 434.537 * * [simplify]: iters left: 3 (269 enodes) 434.599 * * [simplify]: iters left: 2 (486 enodes) 434.751 * * [simplify]: Extracting #0: cost 1 inf + 0 434.751 * * [simplify]: Extracting #1: cost 11 inf + 0 434.751 * * [simplify]: Extracting #2: cost 88 inf + 0 434.751 * * [simplify]: Extracting #3: cost 133 inf + 45 434.752 * * [simplify]: Extracting #4: cost 129 inf + 437 434.753 * * [simplify]: Extracting #5: cost 119 inf + 1592 434.754 * * [simplify]: Extracting #6: cost 102 inf + 5823 434.760 * * [simplify]: Extracting #7: cost 29 inf + 30233 434.772 * * [simplify]: Extracting #8: cost 0 inf + 40337 434.783 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 434.783 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 434.783 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 434.784 * * [simplify]: iters left: 6 (15 enodes) 434.787 * * [simplify]: iters left: 5 (58 enodes) 434.796 * * [simplify]: iters left: 4 (101 enodes) 434.815 * * [simplify]: iters left: 3 (184 enodes) 434.859 * * [simplify]: iters left: 2 (365 enodes) 434.975 * * [simplify]: Extracting #0: cost 1 inf + 0 434.975 * * [simplify]: Extracting #1: cost 0 inf + 1 434.975 * [simplify]: Simplified to 0 434.975 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 434.975 * * * * [progress]: [ 737 / 2246 ] simplifiying candidate # 434.975 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 434.975 * * [simplify]: iters left: 6 (19 enodes) 434.980 * * [simplify]: iters left: 5 (70 enodes) 434.991 * * [simplify]: iters left: 4 (103 enodes) 435.009 * * [simplify]: iters left: 3 (166 enodes) 435.032 * * [simplify]: iters left: 2 (226 enodes) 435.066 * * [simplify]: iters left: 1 (316 enodes) 435.126 * * [simplify]: Extracting #0: cost 1 inf + 0 435.126 * * [simplify]: Extracting #1: cost 9 inf + 0 435.126 * * [simplify]: Extracting #2: cost 62 inf + 2 435.127 * * [simplify]: Extracting #3: cost 104 inf + 45 435.127 * * [simplify]: Extracting #4: cost 98 inf + 692 435.128 * * [simplify]: Extracting #5: cost 82 inf + 3236 435.132 * * [simplify]: Extracting #6: cost 17 inf + 23190 435.139 * * [simplify]: Extracting #7: cost 0 inf + 28383 435.145 * [simplify]: Simplified to (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 435.146 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))))) 435.146 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1))) 435.146 * * [simplify]: iters left: 6 (14 enodes) 435.149 * * [simplify]: iters left: 5 (51 enodes) 435.157 * * [simplify]: iters left: 4 (77 enodes) 435.169 * * [simplify]: iters left: 3 (112 enodes) 435.187 * * [simplify]: iters left: 2 (165 enodes) 435.212 * * [simplify]: iters left: 1 (238 enodes) 435.259 * * [simplify]: Extracting #0: cost 1 inf + 0 435.259 * * [simplify]: Extracting #1: cost 0 inf + 1 435.259 * [simplify]: Simplified to 0 435.259 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 435.259 * * * * [progress]: [ 738 / 2246 ] simplifiying candidate # 435.259 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 435.259 * * [simplify]: iters left: 6 (21 enodes) 435.265 * * [simplify]: iters left: 5 (80 enodes) 435.278 * * [simplify]: iters left: 4 (116 enodes) 435.296 * * [simplify]: iters left: 3 (186 enodes) 435.324 * * [simplify]: iters left: 2 (257 enodes) 435.372 * * [simplify]: iters left: 1 (397 enodes) 435.476 * * [simplify]: Extracting #0: cost 1 inf + 0 435.477 * * [simplify]: Extracting #1: cost 9 inf + 0 435.477 * * [simplify]: Extracting #2: cost 63 inf + 2 435.477 * * [simplify]: Extracting #3: cost 106 inf + 45 435.478 * * [simplify]: Extracting #4: cost 97 inf + 831 435.478 * * [simplify]: Extracting #5: cost 85 inf + 2464 435.482 * * [simplify]: Extracting #6: cost 55 inf + 9972 435.488 * * [simplify]: Extracting #7: cost 4 inf + 26694 435.496 * * [simplify]: Extracting #8: cost 0 inf + 28391 435.504 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 435.504 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))))) 435.504 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1)))) 435.504 * * [simplify]: iters left: 6 (15 enodes) 435.509 * * [simplify]: iters left: 5 (58 enodes) 435.519 * * [simplify]: iters left: 4 (94 enodes) 435.533 * * [simplify]: iters left: 3 (132 enodes) 435.553 * * [simplify]: iters left: 2 (179 enodes) 435.586 * * [simplify]: iters left: 1 (300 enodes) 435.667 * * [simplify]: Extracting #0: cost 1 inf + 0 435.667 * * [simplify]: Extracting #1: cost 0 inf + 1 435.667 * [simplify]: Simplified to 0 435.667 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 435.667 * * * * [progress]: [ 739 / 2246 ] simplifiying candidate # 435.667 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 435.667 * * [simplify]: iters left: 6 (21 enodes) 435.673 * * [simplify]: iters left: 5 (80 enodes) 435.686 * * [simplify]: iters left: 4 (116 enodes) 435.704 * * [simplify]: iters left: 3 (186 enodes) 435.731 * * [simplify]: iters left: 2 (257 enodes) 435.779 * * [simplify]: iters left: 1 (397 enodes) 435.884 * * [simplify]: Extracting #0: cost 1 inf + 0 435.884 * * [simplify]: Extracting #1: cost 9 inf + 0 435.884 * * [simplify]: Extracting #2: cost 63 inf + 2 435.884 * * [simplify]: Extracting #3: cost 106 inf + 45 435.885 * * [simplify]: Extracting #4: cost 97 inf + 831 435.886 * * [simplify]: Extracting #5: cost 85 inf + 2464 435.888 * * [simplify]: Extracting #6: cost 55 inf + 9972 435.894 * * [simplify]: Extracting #7: cost 4 inf + 26694 435.904 * * [simplify]: Extracting #8: cost 0 inf + 28391 435.911 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 435.911 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))))) 435.912 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1)))) 435.912 * * [simplify]: iters left: 6 (15 enodes) 435.916 * * [simplify]: iters left: 5 (58 enodes) 435.926 * * [simplify]: iters left: 4 (94 enodes) 435.941 * * [simplify]: iters left: 3 (132 enodes) 435.959 * * [simplify]: iters left: 2 (179 enodes) 435.994 * * [simplify]: iters left: 1 (300 enodes) 436.073 * * [simplify]: Extracting #0: cost 1 inf + 0 436.073 * * [simplify]: Extracting #1: cost 0 inf + 1 436.073 * [simplify]: Simplified to 0 436.073 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 436.073 * * * * [progress]: [ 740 / 2246 ] simplifiying candidate # 436.073 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 436.073 * * [simplify]: iters left: 6 (19 enodes) 436.080 * * [simplify]: iters left: 5 (70 enodes) 436.091 * * [simplify]: iters left: 4 (103 enodes) 436.107 * * [simplify]: iters left: 3 (166 enodes) 436.131 * * [simplify]: iters left: 2 (226 enodes) 436.166 * * [simplify]: iters left: 1 (316 enodes) 436.225 * * [simplify]: Extracting #0: cost 1 inf + 0 436.226 * * [simplify]: Extracting #1: cost 9 inf + 0 436.226 * * [simplify]: Extracting #2: cost 62 inf + 2 436.226 * * [simplify]: Extracting #3: cost 104 inf + 45 436.226 * * [simplify]: Extracting #4: cost 98 inf + 692 436.227 * * [simplify]: Extracting #5: cost 82 inf + 3236 436.232 * * [simplify]: Extracting #6: cost 17 inf + 23190 436.238 * * [simplify]: Extracting #7: cost 0 inf + 28383 436.245 * [simplify]: Simplified to (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 436.245 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))))) 436.245 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1))) 436.246 * * [simplify]: iters left: 6 (14 enodes) 436.249 * * [simplify]: iters left: 5 (51 enodes) 436.257 * * [simplify]: iters left: 4 (77 enodes) 436.269 * * [simplify]: iters left: 3 (112 enodes) 436.289 * * [simplify]: iters left: 2 (165 enodes) 436.312 * * [simplify]: iters left: 1 (238 enodes) 436.617 * * [simplify]: Extracting #0: cost 1 inf + 0 436.617 * * [simplify]: Extracting #1: cost 0 inf + 1 436.617 * [simplify]: Simplified to 0 436.617 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 436.617 * * * * [progress]: [ 741 / 2246 ] simplifiying candidate # 436.617 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 436.617 * * [simplify]: iters left: 6 (18 enodes) 436.621 * * [simplify]: iters left: 5 (74 enodes) 436.634 * * [simplify]: iters left: 4 (150 enodes) 436.666 * * [simplify]: iters left: 3 (330 enodes) 436.765 * * [simplify]: Extracting #0: cost 1 inf + 0 436.765 * * [simplify]: Extracting #1: cost 11 inf + 0 436.765 * * [simplify]: Extracting #2: cost 113 inf + 0 436.765 * * [simplify]: Extracting #3: cost 157 inf + 45 436.766 * * [simplify]: Extracting #4: cost 151 inf + 593 436.767 * * [simplify]: Extracting #5: cost 151 inf + 788 436.767 * * [simplify]: Extracting #6: cost 147 inf + 1718 436.774 * * [simplify]: Extracting #7: cost 52 inf + 39582 436.789 * * [simplify]: Extracting #8: cost 1 inf + 61042 436.805 * * [simplify]: Extracting #9: cost 0 inf + 61461 436.821 * [simplify]: Simplified to (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) 436.821 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 436.822 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 436.822 * * [simplify]: iters left: 6 (15 enodes) 436.826 * * [simplify]: iters left: 5 (62 enodes) 436.836 * * [simplify]: iters left: 4 (118 enodes) 436.861 * * [simplify]: iters left: 3 (252 enodes) 436.934 * * [simplify]: Extracting #0: cost 1 inf + 0 436.934 * * [simplify]: Extracting #1: cost 0 inf + 1 436.934 * [simplify]: Simplified to 0 436.934 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 436.934 * * * * [progress]: [ 742 / 2246 ] simplifiying candidate # 436.935 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 436.935 * * [simplify]: iters left: 6 (19 enodes) 436.939 * * [simplify]: iters left: 5 (75 enodes) 436.952 * * [simplify]: iters left: 4 (134 enodes) 436.979 * * [simplify]: iters left: 3 (265 enodes) 437.042 * * [simplify]: iters left: 2 (485 enodes) 437.193 * * [simplify]: Extracting #0: cost 1 inf + 0 437.193 * * [simplify]: Extracting #1: cost 11 inf + 0 437.193 * * [simplify]: Extracting #2: cost 88 inf + 0 437.194 * * [simplify]: Extracting #3: cost 133 inf + 45 437.194 * * [simplify]: Extracting #4: cost 124 inf + 885 437.195 * * [simplify]: Extracting #5: cost 118 inf + 1810 437.196 * * [simplify]: Extracting #6: cost 101 inf + 6361 437.202 * * [simplify]: Extracting #7: cost 34 inf + 28548 437.213 * * [simplify]: Extracting #8: cost 1 inf + 39918 437.224 * * [simplify]: Extracting #9: cost 0 inf + 40337 437.235 * [simplify]: Simplified to (- (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 437.235 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 437.235 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 437.235 * * [simplify]: iters left: 6 (14 enodes) 437.239 * * [simplify]: iters left: 5 (57 enodes) 437.250 * * [simplify]: iters left: 4 (98 enodes) 437.268 * * [simplify]: iters left: 3 (181 enodes) 437.312 * * [simplify]: iters left: 2 (360 enodes) 437.428 * * [simplify]: Extracting #0: cost 1 inf + 0 437.428 * * [simplify]: Extracting #1: cost 0 inf + 1 437.428 * [simplify]: Simplified to 0 437.428 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 437.428 * * * * [progress]: [ 743 / 2246 ] simplifiying candidate # 437.428 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 437.429 * * [simplify]: iters left: 6 (18 enodes) 437.433 * * [simplify]: iters left: 5 (69 enodes) 437.444 * * [simplify]: iters left: 4 (102 enodes) 437.460 * * [simplify]: iters left: 3 (165 enodes) 437.486 * * [simplify]: iters left: 2 (225 enodes) 437.519 * * [simplify]: iters left: 1 (315 enodes) 437.578 * * [simplify]: Extracting #0: cost 1 inf + 0 437.578 * * [simplify]: Extracting #1: cost 9 inf + 0 437.578 * * [simplify]: Extracting #2: cost 62 inf + 2 437.579 * * [simplify]: Extracting #3: cost 104 inf + 45 437.579 * * [simplify]: Extracting #4: cost 101 inf + 439 437.580 * * [simplify]: Extracting #5: cost 80 inf + 3673 437.584 * * [simplify]: Extracting #6: cost 28 inf + 19891 437.592 * * [simplify]: Extracting #7: cost 0 inf + 28494 437.598 * * [simplify]: Extracting #8: cost 0 inf + 28383 437.605 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 437.605 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))))) 437.606 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1))) 437.606 * * [simplify]: iters left: 6 (13 enodes) 437.609 * * [simplify]: iters left: 5 (50 enodes) 437.617 * * [simplify]: iters left: 4 (76 enodes) 437.629 * * [simplify]: iters left: 3 (111 enodes) 437.644 * * [simplify]: iters left: 2 (147 enodes) 437.669 * * [simplify]: iters left: 1 (234 enodes) 437.714 * * [simplify]: Extracting #0: cost 1 inf + 0 437.714 * * [simplify]: Extracting #1: cost 0 inf + 1 437.714 * [simplify]: Simplified to 0 437.714 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 437.714 * * * * [progress]: [ 744 / 2246 ] simplifiying candidate # 437.714 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 437.715 * * [simplify]: iters left: 6 (20 enodes) 437.722 * * [simplify]: iters left: 5 (79 enodes) 437.734 * * [simplify]: iters left: 4 (114 enodes) 437.753 * * [simplify]: iters left: 3 (183 enodes) 437.778 * * [simplify]: iters left: 2 (256 enodes) 437.827 * * [simplify]: iters left: 1 (393 enodes) 437.930 * * [simplify]: Extracting #0: cost 1 inf + 0 437.930 * * [simplify]: Extracting #1: cost 9 inf + 0 437.930 * * [simplify]: Extracting #2: cost 57 inf + 2 437.930 * * [simplify]: Extracting #3: cost 100 inf + 45 437.931 * * [simplify]: Extracting #4: cost 97 inf + 245 437.931 * * [simplify]: Extracting #5: cost 84 inf + 1991 437.934 * * [simplify]: Extracting #6: cost 45 inf + 11257 437.940 * * [simplify]: Extracting #7: cost 5 inf + 25259 437.947 * * [simplify]: Extracting #8: cost 0 inf + 27023 437.957 * [simplify]: Simplified to (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 437.957 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))))) 437.957 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1)))) 437.957 * * [simplify]: iters left: 6 (14 enodes) 437.961 * * [simplify]: iters left: 5 (57 enodes) 437.971 * * [simplify]: iters left: 4 (93 enodes) 437.986 * * [simplify]: iters left: 3 (131 enodes) 438.004 * * [simplify]: iters left: 2 (178 enodes) 438.039 * * [simplify]: iters left: 1 (299 enodes) 438.118 * * [simplify]: Extracting #0: cost 1 inf + 0 438.118 * * [simplify]: Extracting #1: cost 0 inf + 1 438.118 * [simplify]: Simplified to 0 438.118 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 438.118 * * * * [progress]: [ 745 / 2246 ] simplifiying candidate # 438.119 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 438.119 * * [simplify]: iters left: 6 (20 enodes) 438.125 * * [simplify]: iters left: 5 (79 enodes) 438.139 * * [simplify]: iters left: 4 (114 enodes) 438.158 * * [simplify]: iters left: 3 (183 enodes) 438.183 * * [simplify]: iters left: 2 (256 enodes) 438.232 * * [simplify]: iters left: 1 (393 enodes) 438.336 * * [simplify]: Extracting #0: cost 1 inf + 0 438.336 * * [simplify]: Extracting #1: cost 9 inf + 0 438.336 * * [simplify]: Extracting #2: cost 57 inf + 2 438.336 * * [simplify]: Extracting #3: cost 100 inf + 45 438.337 * * [simplify]: Extracting #4: cost 97 inf + 245 438.337 * * [simplify]: Extracting #5: cost 84 inf + 1991 438.340 * * [simplify]: Extracting #6: cost 45 inf + 11257 438.346 * * [simplify]: Extracting #7: cost 5 inf + 25259 438.354 * * [simplify]: Extracting #8: cost 0 inf + 27023 438.361 * [simplify]: Simplified to (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 438.361 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))))) 438.361 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1)))) 438.362 * * [simplify]: iters left: 6 (14 enodes) 438.366 * * [simplify]: iters left: 5 (57 enodes) 438.378 * * [simplify]: iters left: 4 (93 enodes) 438.392 * * [simplify]: iters left: 3 (131 enodes) 438.410 * * [simplify]: iters left: 2 (178 enodes) 438.445 * * [simplify]: iters left: 1 (299 enodes) 438.523 * * [simplify]: Extracting #0: cost 1 inf + 0 438.524 * * [simplify]: Extracting #1: cost 0 inf + 1 438.524 * [simplify]: Simplified to 0 438.524 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 438.524 * * * * [progress]: [ 746 / 2246 ] simplifiying candidate # 438.524 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 438.524 * * [simplify]: iters left: 6 (18 enodes) 438.529 * * [simplify]: iters left: 5 (69 enodes) 438.540 * * [simplify]: iters left: 4 (102 enodes) 438.558 * * [simplify]: iters left: 3 (165 enodes) 438.582 * * [simplify]: iters left: 2 (225 enodes) 438.614 * * [simplify]: iters left: 1 (315 enodes) 438.676 * * [simplify]: Extracting #0: cost 1 inf + 0 438.676 * * [simplify]: Extracting #1: cost 9 inf + 0 438.676 * * [simplify]: Extracting #2: cost 62 inf + 2 438.676 * * [simplify]: Extracting #3: cost 104 inf + 45 438.677 * * [simplify]: Extracting #4: cost 101 inf + 439 438.678 * * [simplify]: Extracting #5: cost 80 inf + 3673 438.681 * * [simplify]: Extracting #6: cost 28 inf + 19891 438.688 * * [simplify]: Extracting #7: cost 0 inf + 28494 438.694 * * [simplify]: Extracting #8: cost 0 inf + 28383 438.701 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 438.701 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))))) 438.701 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1))) 438.702 * * [simplify]: iters left: 6 (13 enodes) 438.705 * * [simplify]: iters left: 5 (50 enodes) 438.713 * * [simplify]: iters left: 4 (76 enodes) 438.725 * * [simplify]: iters left: 3 (111 enodes) 438.740 * * [simplify]: iters left: 2 (147 enodes) 438.765 * * [simplify]: iters left: 1 (234 enodes) 438.811 * * [simplify]: Extracting #0: cost 1 inf + 0 438.811 * * [simplify]: Extracting #1: cost 0 inf + 1 438.811 * [simplify]: Simplified to 0 438.811 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 438.812 * * * * [progress]: [ 747 / 2246 ] simplifiying candidate # 438.812 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 438.812 * * [simplify]: iters left: 6 (19 enodes) 438.816 * * [simplify]: iters left: 5 (77 enodes) 438.829 * * [simplify]: iters left: 4 (157 enodes) 438.857 * * [simplify]: iters left: 3 (319 enodes) 438.928 * * [simplify]: Extracting #0: cost 1 inf + 0 438.928 * * [simplify]: Extracting #1: cost 11 inf + 0 438.929 * * [simplify]: Extracting #2: cost 100 inf + 0 438.929 * * [simplify]: Extracting #3: cost 160 inf + 45 438.930 * * [simplify]: Extracting #4: cost 157 inf + 339 438.930 * * [simplify]: Extracting #5: cost 148 inf + 1452 438.931 * * [simplify]: Extracting #6: cost 146 inf + 2284 438.937 * * [simplify]: Extracting #7: cost 60 inf + 35528 438.951 * * [simplify]: Extracting #8: cost 1 inf + 60049 438.966 * * [simplify]: Extracting #9: cost 0 inf + 60467 438.981 * [simplify]: Simplified to (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) 438.981 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (fma (- (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 438.982 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 438.982 * * [simplify]: iters left: 6 (16 enodes) 438.986 * * [simplify]: iters left: 5 (65 enodes) 438.997 * * [simplify]: iters left: 4 (125 enodes) 439.021 * * [simplify]: iters left: 3 (242 enodes) 439.077 * * [simplify]: Extracting #0: cost 1 inf + 0 439.078 * * [simplify]: Extracting #1: cost 0 inf + 1 439.078 * [simplify]: Simplified to 0 439.078 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 439.078 * * * * [progress]: [ 748 / 2246 ] simplifiying candidate # 439.078 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 439.078 * * [simplify]: iters left: 6 (20 enodes) 439.083 * * [simplify]: iters left: 5 (78 enodes) 439.095 * * [simplify]: iters left: 4 (139 enodes) 439.118 * * [simplify]: iters left: 3 (239 enodes) 439.168 * * [simplify]: iters left: 2 (492 enodes) 439.338 * * [simplify]: Extracting #0: cost 1 inf + 0 439.338 * * [simplify]: Extracting #1: cost 11 inf + 0 439.338 * * [simplify]: Extracting #2: cost 88 inf + 0 439.338 * * [simplify]: Extracting #3: cost 134 inf + 45 439.339 * * [simplify]: Extracting #4: cost 130 inf + 576 439.340 * * [simplify]: Extracting #5: cost 113 inf + 3235 439.345 * * [simplify]: Extracting #6: cost 44 inf + 25276 439.357 * * [simplify]: Extracting #7: cost 0 inf + 40288 439.369 * [simplify]: Simplified to (- (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 439.369 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 439.369 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 439.369 * * [simplify]: iters left: 6 (15 enodes) 439.373 * * [simplify]: iters left: 5 (60 enodes) 439.382 * * [simplify]: iters left: 4 (103 enodes) 439.398 * * [simplify]: iters left: 3 (167 enodes) 439.434 * * [simplify]: iters left: 2 (361 enodes) 439.560 * * [simplify]: Extracting #0: cost 1 inf + 0 439.560 * * [simplify]: Extracting #1: cost 0 inf + 1 439.561 * [simplify]: Simplified to 0 439.561 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 439.561 * * * * [progress]: [ 749 / 2246 ] simplifiying candidate # 439.561 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 439.561 * * [simplify]: iters left: 6 (19 enodes) 439.566 * * [simplify]: iters left: 5 (72 enodes) 439.578 * * [simplify]: iters left: 4 (120 enodes) 439.595 * * [simplify]: iters left: 3 (192 enodes) 439.621 * * [simplify]: iters left: 2 (268 enodes) 439.660 * * [simplify]: iters left: 1 (368 enodes) 439.718 * * [simplify]: Extracting #0: cost 1 inf + 0 439.718 * * [simplify]: Extracting #1: cost 11 inf + 0 439.718 * * [simplify]: Extracting #2: cost 66 inf + 2 439.719 * * [simplify]: Extracting #3: cost 96 inf + 47 439.719 * * [simplify]: Extracting #4: cost 93 inf + 400 439.720 * * [simplify]: Extracting #5: cost 77 inf + 2882 439.724 * * [simplify]: Extracting #6: cost 18 inf + 21045 439.730 * * [simplify]: Extracting #7: cost 0 inf + 26797 439.737 * * [simplify]: Extracting #8: cost 0 inf + 26772 439.743 * [simplify]: Simplified to (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 439.744 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))))) 439.744 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1))) 439.744 * * [simplify]: iters left: 6 (14 enodes) 439.747 * * [simplify]: iters left: 5 (53 enodes) 439.758 * * [simplify]: iters left: 4 (92 enodes) 439.770 * * [simplify]: iters left: 3 (137 enodes) 439.789 * * [simplify]: iters left: 2 (188 enodes) 439.816 * * [simplify]: iters left: 1 (283 enodes) 439.861 * * [simplify]: Extracting #0: cost 1 inf + 0 439.861 * * [simplify]: Extracting #1: cost 0 inf + 1 439.861 * [simplify]: Simplified to 0 439.861 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 439.861 * * * * [progress]: [ 750 / 2246 ] simplifiying candidate # 439.861 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 439.861 * * [simplify]: iters left: 6 (21 enodes) 439.868 * * [simplify]: iters left: 5 (82 enodes) 439.881 * * [simplify]: iters left: 4 (128 enodes) 439.902 * * [simplify]: iters left: 3 (210 enodes) 439.934 * * [simplify]: iters left: 2 (313 enodes) 439.988 * * [simplify]: iters left: 1 (443 enodes) 440.083 * * [simplify]: Extracting #0: cost 1 inf + 0 440.084 * * [simplify]: Extracting #1: cost 11 inf + 0 440.084 * * [simplify]: Extracting #2: cost 65 inf + 2 440.084 * * [simplify]: Extracting #3: cost 103 inf + 46 440.084 * * [simplify]: Extracting #4: cost 96 inf + 596 440.085 * * [simplify]: Extracting #5: cost 81 inf + 2739 440.088 * * [simplify]: Extracting #6: cost 54 inf + 9182 440.093 * * [simplify]: Extracting #7: cost 8 inf + 23732 440.101 * * [simplify]: Extracting #8: cost 1 inf + 26738 440.108 * * [simplify]: Extracting #9: cost 0 inf + 27196 440.115 * [simplify]: Simplified to (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 440.116 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))))) 440.116 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1)))) 440.116 * * [simplify]: iters left: 6 (15 enodes) 440.122 * * [simplify]: iters left: 5 (60 enodes) 440.133 * * [simplify]: iters left: 4 (93 enodes) 440.147 * * [simplify]: iters left: 3 (149 enodes) 440.168 * * [simplify]: iters left: 2 (229 enodes) 440.208 * * [simplify]: iters left: 1 (341 enodes) 440.283 * * [simplify]: Extracting #0: cost 1 inf + 0 440.283 * * [simplify]: Extracting #1: cost 0 inf + 1 440.283 * [simplify]: Simplified to 0 440.283 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 440.283 * * * * [progress]: [ 751 / 2246 ] simplifiying candidate # 440.283 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 440.283 * * [simplify]: iters left: 6 (21 enodes) 440.290 * * [simplify]: iters left: 5 (82 enodes) 440.303 * * [simplify]: iters left: 4 (128 enodes) 440.325 * * [simplify]: iters left: 3 (210 enodes) 440.357 * * [simplify]: iters left: 2 (313 enodes) 440.411 * * [simplify]: iters left: 1 (443 enodes) 440.507 * * [simplify]: Extracting #0: cost 1 inf + 0 440.507 * * [simplify]: Extracting #1: cost 11 inf + 0 440.507 * * [simplify]: Extracting #2: cost 65 inf + 2 440.508 * * [simplify]: Extracting #3: cost 103 inf + 46 440.508 * * [simplify]: Extracting #4: cost 96 inf + 596 440.509 * * [simplify]: Extracting #5: cost 81 inf + 2739 440.511 * * [simplify]: Extracting #6: cost 54 inf + 9182 440.517 * * [simplify]: Extracting #7: cost 8 inf + 23732 440.524 * * [simplify]: Extracting #8: cost 1 inf + 26738 440.531 * * [simplify]: Extracting #9: cost 0 inf + 27196 440.539 * [simplify]: Simplified to (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 440.539 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))))) 440.539 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1)))) 440.539 * * [simplify]: iters left: 6 (15 enodes) 440.545 * * [simplify]: iters left: 5 (60 enodes) 440.554 * * [simplify]: iters left: 4 (93 enodes) 440.570 * * [simplify]: iters left: 3 (149 enodes) 440.592 * * [simplify]: iters left: 2 (229 enodes) 440.632 * * [simplify]: iters left: 1 (341 enodes) 440.706 * * [simplify]: Extracting #0: cost 1 inf + 0 440.706 * * [simplify]: Extracting #1: cost 0 inf + 1 440.706 * [simplify]: Simplified to 0 440.706 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 440.706 * * * * [progress]: [ 752 / 2246 ] simplifiying candidate # 440.707 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 440.707 * * [simplify]: iters left: 6 (19 enodes) 440.711 * * [simplify]: iters left: 5 (72 enodes) 440.723 * * [simplify]: iters left: 4 (120 enodes) 440.740 * * [simplify]: iters left: 3 (192 enodes) 440.769 * * [simplify]: iters left: 2 (268 enodes) 440.806 * * [simplify]: iters left: 1 (368 enodes) 440.864 * * [simplify]: Extracting #0: cost 1 inf + 0 440.864 * * [simplify]: Extracting #1: cost 11 inf + 0 440.864 * * [simplify]: Extracting #2: cost 66 inf + 2 440.864 * * [simplify]: Extracting #3: cost 96 inf + 47 440.865 * * [simplify]: Extracting #4: cost 93 inf + 400 440.865 * * [simplify]: Extracting #5: cost 77 inf + 2882 440.871 * * [simplify]: Extracting #6: cost 18 inf + 21045 440.877 * * [simplify]: Extracting #7: cost 0 inf + 26797 440.884 * * [simplify]: Extracting #8: cost 0 inf + 26772 440.890 * [simplify]: Simplified to (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 440.890 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))))) 440.890 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1))) 440.891 * * [simplify]: iters left: 6 (14 enodes) 440.894 * * [simplify]: iters left: 5 (53 enodes) 440.903 * * [simplify]: iters left: 4 (92 enodes) 440.916 * * [simplify]: iters left: 3 (137 enodes) 440.934 * * [simplify]: iters left: 2 (188 enodes) 440.962 * * [simplify]: iters left: 1 (283 enodes) 441.008 * * [simplify]: Extracting #0: cost 1 inf + 0 441.008 * * [simplify]: Extracting #1: cost 0 inf + 1 441.008 * [simplify]: Simplified to 0 441.008 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 441.008 * * * * [progress]: [ 753 / 2246 ] simplifiying candidate # 441.008 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))) 441.008 * * [simplify]: iters left: 6 (17 enodes) 441.012 * * [simplify]: iters left: 5 (66 enodes) 441.024 * * [simplify]: iters left: 4 (104 enodes) 441.040 * * [simplify]: iters left: 3 (169 enodes) 441.064 * * [simplify]: iters left: 2 (225 enodes) 441.101 * * [simplify]: iters left: 1 (322 enodes) 441.163 * * [simplify]: Extracting #0: cost 1 inf + 0 441.163 * * [simplify]: Extracting #1: cost 9 inf + 0 441.163 * * [simplify]: Extracting #2: cost 62 inf + 2 441.163 * * [simplify]: Extracting #3: cost 104 inf + 45 441.164 * * [simplify]: Extracting #4: cost 97 inf + 951 441.164 * * [simplify]: Extracting #5: cost 81 inf + 3294 441.169 * * [simplify]: Extracting #6: cost 10 inf + 24896 441.175 * * [simplify]: Extracting #7: cost 0 inf + 28494 441.182 * * [simplify]: Extracting #8: cost 0 inf + 28383 441.189 * [simplify]: Simplified to (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 441.189 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1 (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))))) 441.189 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1 (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1)) 441.189 * * [simplify]: iters left: 6 (12 enodes) 441.192 * * [simplify]: iters left: 5 (47 enodes) 441.203 * * [simplify]: iters left: 4 (79 enodes) 441.214 * * [simplify]: iters left: 3 (107 enodes) 441.233 * * [simplify]: iters left: 2 (167 enodes) 441.259 * * [simplify]: iters left: 1 (239 enodes) 441.303 * * [simplify]: Extracting #0: cost 1 inf + 0 441.304 * * [simplify]: Extracting #1: cost 0 inf + 1 441.304 * [simplify]: Simplified to 0 441.304 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 441.304 * * * * [progress]: [ 754 / 2246 ] simplifiying candidate # 441.304 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))) 441.304 * * [simplify]: iters left: 6 (17 enodes) 441.308 * * [simplify]: iters left: 5 (67 enodes) 441.321 * * [simplify]: iters left: 4 (113 enodes) 441.339 * * [simplify]: iters left: 3 (192 enodes) 441.372 * * [simplify]: iters left: 2 (296 enodes) 441.426 * * [simplify]: iters left: 1 (441 enodes) 441.530 * * [simplify]: Extracting #0: cost 1 inf + 0 441.531 * * [simplify]: Extracting #1: cost 11 inf + 0 441.531 * * [simplify]: Extracting #2: cost 60 inf + 0 441.531 * * [simplify]: Extracting #3: cost 94 inf + 45 441.532 * * [simplify]: Extracting #4: cost 92 inf + 676 441.532 * * [simplify]: Extracting #5: cost 73 inf + 3634 441.537 * * [simplify]: Extracting #6: cost 15 inf + 21632 441.545 * * [simplify]: Extracting #7: cost 0 inf + 26093 441.554 * * [simplify]: Extracting #8: cost 0 inf + 26069 441.561 * [simplify]: Simplified to (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 441.561 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (hypot 1 x)) (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))))) 441.562 * [simplify]: Simplifying (fma (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (hypot 1 x)) (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x)))) 441.562 * * [simplify]: iters left: 6 (12 enodes) 441.565 * * [simplify]: iters left: 5 (50 enodes) 441.573 * * [simplify]: iters left: 4 (76 enodes) 441.585 * * [simplify]: iters left: 3 (143 enodes) 441.612 * * [simplify]: iters left: 2 (233 enodes) 441.657 * * [simplify]: iters left: 1 (369 enodes) 441.741 * * [simplify]: Extracting #0: cost 1 inf + 0 441.741 * * [simplify]: Extracting #1: cost 0 inf + 1 441.741 * [simplify]: Simplified to 0 441.741 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 441.741 * * * * [progress]: [ 755 / 2246 ] simplifiying candidate # 441.741 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 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))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))) 441.742 * * [simplify]: iters left: 6 (26 enodes) 441.748 * * [simplify]: iters left: 5 (107 enodes) 441.769 * * [simplify]: iters left: 4 (256 enodes) 441.833 * * [simplify]: Extracting #0: cost 1 inf + 0 441.833 * * [simplify]: Extracting #1: cost 11 inf + 0 441.833 * * [simplify]: Extracting #2: cost 109 inf + 0 441.834 * * [simplify]: Extracting #3: cost 185 inf + 46 441.835 * * [simplify]: Extracting #4: cost 150 inf + 8779 441.844 * * [simplify]: Extracting #5: cost 35 inf + 43371 441.855 * * [simplify]: Extracting #6: cost 4 inf + 55812 441.870 * * [simplify]: Extracting #7: cost 1 inf + 56535 441.882 * * [simplify]: Extracting #8: cost 0 inf + 56924 441.894 * [simplify]: Simplified to (- (/ (* (/ (sqrt 1/2) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 441.894 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (* (/ (sqrt 1/2) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (fma (- (+ (* 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 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (* (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))))) 441.895 * [simplify]: Simplifying (fma (- (+ (* 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 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (* (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))))) 441.895 * * [simplify]: iters left: 6 (20 enodes) 441.901 * * [simplify]: iters left: 5 (87 enodes) 441.918 * * [simplify]: iters left: 4 (224 enodes) 441.982 * * [simplify]: Extracting #0: cost 1 inf + 0 441.982 * * [simplify]: Extracting #1: cost 14 inf + 0 441.983 * * [simplify]: Extracting #2: cost 116 inf + 0 441.983 * * [simplify]: Extracting #3: cost 173 inf + 989 441.986 * * [simplify]: Extracting #4: cost 109 inf + 16215 441.995 * * [simplify]: Extracting #5: cost 31 inf + 40092 442.006 * * [simplify]: Extracting #6: cost 1 inf + 50253 442.019 * * [simplify]: Extracting #7: cost 0 inf + 50642 442.031 * [simplify]: Simplified to (- (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 442.031 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 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))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))) (- (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))))) 442.031 * * * * [progress]: [ 756 / 2246 ] simplifiying candidate # 442.031 * [simplify]: Simplifying (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 442.032 * * [simplify]: iters left: 6 (21 enodes) 442.037 * * [simplify]: iters left: 5 (80 enodes) 442.049 * * [simplify]: iters left: 4 (147 enodes) 442.075 * * [simplify]: iters left: 3 (310 enodes) 442.140 * * [simplify]: Extracting #0: cost 1 inf + 0 442.140 * * [simplify]: Extracting #1: cost 17 inf + 0 442.141 * * [simplify]: Extracting #2: cost 115 inf + 0 442.141 * * [simplify]: Extracting #3: cost 170 inf + 45 442.142 * * [simplify]: Extracting #4: cost 181 inf + 1264 442.143 * * [simplify]: Extracting #5: cost 151 inf + 5109 442.148 * * [simplify]: Extracting #6: cost 100 inf + 17558 442.156 * * [simplify]: Extracting #7: cost 23 inf + 40020 442.168 * * [simplify]: Extracting #8: cost 0 inf + 49173 442.179 * * [simplify]: Extracting #9: cost 0 inf + 49093 442.190 * [simplify]: Simplified to (fma (+ -1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 442.190 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (+ -1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (fma (- (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 442.190 * [simplify]: Simplifying (fma (- (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 442.190 * * [simplify]: iters left: 6 (15 enodes) 442.194 * * [simplify]: iters left: 5 (56 enodes) 442.203 * * [simplify]: iters left: 4 (109 enodes) 442.225 * * [simplify]: iters left: 3 (271 enodes) 442.288 * * [simplify]: Extracting #0: cost 1 inf + 0 442.288 * * [simplify]: Extracting #1: cost 0 inf + 1 442.288 * [simplify]: Simplified to 0 442.288 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 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) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 442.288 * * * * [progress]: [ 757 / 2246 ] simplifiying candidate # 442.289 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 442.289 * * [simplify]: iters left: 6 (17 enodes) 442.293 * * [simplify]: iters left: 5 (66 enodes) 442.303 * * [simplify]: iters left: 4 (96 enodes) 442.318 * * [simplify]: iters left: 3 (144 enodes) 442.341 * * [simplify]: iters left: 2 (210 enodes) 442.376 * * [simplify]: iters left: 1 (324 enodes) 442.436 * * [simplify]: Extracting #0: cost 1 inf + 0 442.436 * * [simplify]: Extracting #1: cost 24 inf + 0 442.436 * * [simplify]: Extracting #2: cost 120 inf + 0 442.436 * * [simplify]: Extracting #3: cost 140 inf + 47 442.437 * * [simplify]: Extracting #4: cost 136 inf + 442 442.437 * * [simplify]: Extracting #5: cost 129 inf + 1688 442.439 * * [simplify]: Extracting #6: cost 107 inf + 7491 442.444 * * [simplify]: Extracting #7: cost 63 inf + 35315 442.457 * * [simplify]: Extracting #8: cost 1 inf + 84757 442.472 * * [simplify]: Extracting #9: cost 0 inf + 85688 442.487 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 442.487 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 442.487 * [simplify]: Simplifying (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 442.487 * * [simplify]: iters left: 6 (14 enodes) 442.491 * * [simplify]: iters left: 5 (53 enodes) 442.499 * * [simplify]: iters left: 4 (76 enodes) 442.514 * * [simplify]: iters left: 3 (134 enodes) 442.536 * * [simplify]: iters left: 2 (194 enodes) 442.566 * * [simplify]: iters left: 1 (293 enodes) 442.612 * * [simplify]: Extracting #0: cost 1 inf + 0 442.612 * * [simplify]: Extracting #1: cost 0 inf + 1 442.612 * [simplify]: Simplified to 0 442.612 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 442.612 * * * * [progress]: [ 758 / 2246 ] simplifiying candidate # 442.612 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 442.613 * * [simplify]: iters left: 6 (16 enodes) 442.616 * * [simplify]: iters left: 5 (57 enodes) 442.625 * * [simplify]: iters left: 4 (80 enodes) 442.636 * * [simplify]: iters left: 3 (108 enodes) 442.653 * * [simplify]: iters left: 2 (132 enodes) 442.671 * * [simplify]: iters left: 1 (182 enodes) 442.698 * * [simplify]: Extracting #0: cost 1 inf + 0 442.698 * * [simplify]: Extracting #1: cost 16 inf + 0 442.698 * * [simplify]: Extracting #2: cost 54 inf + 0 442.698 * * [simplify]: Extracting #3: cost 63 inf + 44 442.698 * * [simplify]: Extracting #4: cost 60 inf + 437 442.699 * * [simplify]: Extracting #5: cost 55 inf + 1384 442.700 * * [simplify]: Extracting #6: cost 30 inf + 8138 442.703 * * [simplify]: Extracting #7: cost 12 inf + 15423 442.710 * * [simplify]: Extracting #8: cost 0 inf + 21359 442.716 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 442.716 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 442.716 * [simplify]: Simplifying (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 442.716 * * [simplify]: iters left: 6 (13 enodes) 442.720 * * [simplify]: iters left: 5 (45 enodes) 442.726 * * [simplify]: iters left: 4 (60 enodes) 442.734 * * [simplify]: iters left: 3 (85 enodes) 442.746 * * [simplify]: iters left: 2 (102 enodes) 442.759 * * [simplify]: iters left: 1 (126 enodes) 442.774 * * [simplify]: Extracting #0: cost 1 inf + 0 442.774 * * [simplify]: Extracting #1: cost 0 inf + 1 442.774 * [simplify]: Simplified to 0 442.774 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 442.775 * * * * [progress]: [ 759 / 2246 ] simplifiying candidate # 442.775 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))) 442.775 * * [simplify]: iters left: 6 (20 enodes) 442.781 * * [simplify]: iters left: 5 (80 enodes) 442.793 * * [simplify]: iters left: 4 (162 enodes) 442.825 * * [simplify]: iters left: 3 (326 enodes) 442.890 * * [simplify]: Extracting #0: cost 1 inf + 0 442.890 * * [simplify]: Extracting #1: cost 12 inf + 0 442.890 * * [simplify]: Extracting #2: cost 71 inf + 0 442.891 * * [simplify]: Extracting #3: cost 117 inf + 1 442.891 * * [simplify]: Extracting #4: cost 118 inf + 45 442.892 * * [simplify]: Extracting #5: cost 111 inf + 616 442.893 * * [simplify]: Extracting #6: cost 87 inf + 6459 442.898 * * [simplify]: Extracting #7: cost 29 inf + 32115 442.910 * * [simplify]: Extracting #8: cost 0 inf + 45437 442.921 * * [simplify]: Extracting #9: cost 0 inf + 45382 442.933 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 442.933 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))))) 442.933 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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)))))))) 442.933 * * [simplify]: iters left: 6 (17 enodes) 442.937 * * [simplify]: iters left: 5 (69 enodes) 442.948 * * [simplify]: iters left: 4 (135 enodes) 442.976 * * [simplify]: iters left: 3 (301 enodes) 443.039 * * [simplify]: Extracting #0: cost 1 inf + 0 443.039 * * [simplify]: Extracting #1: cost 0 inf + 1 443.039 * [simplify]: Simplified to 0 443.039 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))) 0))) 443.039 * * * * [progress]: [ 760 / 2246 ] simplifiying candidate # 443.039 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 443.040 * * [simplify]: iters left: 6 (18 enodes) 443.044 * * [simplify]: iters left: 5 (71 enodes) 443.055 * * [simplify]: iters left: 4 (122 enodes) 443.073 * * [simplify]: iters left: 3 (196 enodes) 443.106 * * [simplify]: iters left: 2 (272 enodes) 443.150 * * [simplify]: iters left: 1 (351 enodes) 443.212 * * [simplify]: Extracting #0: cost 1 inf + 0 443.213 * * [simplify]: Extracting #1: cost 12 inf + 0 443.213 * * [simplify]: Extracting #2: cost 63 inf + 0 443.213 * * [simplify]: Extracting #3: cost 110 inf + 43 443.213 * * [simplify]: Extracting #4: cost 105 inf + 301 443.214 * * [simplify]: Extracting #5: cost 90 inf + 3394 443.219 * * [simplify]: Extracting #6: cost 20 inf + 31573 443.228 * * [simplify]: Extracting #7: cost 0 inf + 40068 443.236 * * [simplify]: Extracting #8: cost 0 inf + 39933 443.244 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 443.244 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 443.245 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 443.245 * * [simplify]: iters left: 6 (16 enodes) 443.249 * * [simplify]: iters left: 5 (63 enodes) 443.258 * * [simplify]: iters left: 4 (100 enodes) 443.274 * * [simplify]: iters left: 3 (175 enodes) 443.304 * * [simplify]: iters left: 2 (267 enodes) 443.346 * * [simplify]: iters left: 1 (373 enodes) 443.412 * * [simplify]: Extracting #0: cost 1 inf + 0 443.412 * * [simplify]: Extracting #1: cost 0 inf + 1 443.412 * [simplify]: Simplified to 0 443.412 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 443.412 * * * * [progress]: [ 761 / 2246 ] simplifiying candidate # 443.412 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 443.412 * * [simplify]: iters left: 6 (18 enodes) 443.417 * * [simplify]: iters left: 5 (69 enodes) 443.428 * * [simplify]: iters left: 4 (126 enodes) 443.450 * * [simplify]: iters left: 3 (222 enodes) 443.502 * * [simplify]: iters left: 2 (387 enodes) 443.604 * * [simplify]: Extracting #0: cost 1 inf + 0 443.604 * * [simplify]: Extracting #1: cost 12 inf + 0 443.604 * * [simplify]: Extracting #2: cost 67 inf + 0 443.604 * * [simplify]: Extracting #3: cost 120 inf + 44 443.605 * * [simplify]: Extracting #4: cost 117 inf + 301 443.605 * * [simplify]: Extracting #5: cost 109 inf + 1646 443.608 * * [simplify]: Extracting #6: cost 58 inf + 18674 443.615 * * [simplify]: Extracting #7: cost 6 inf + 40707 443.623 * * [simplify]: Extracting #8: cost 0 inf + 43750 443.631 * [simplify]: Simplified to (- (/ 1/2 (* (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 443.631 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (* (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))))) 443.632 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1))) 443.632 * * [simplify]: iters left: 6 (15 enodes) 443.636 * * [simplify]: iters left: 5 (58 enodes) 443.645 * * [simplify]: iters left: 4 (100 enodes) 443.665 * * [simplify]: iters left: 3 (192 enodes) 443.706 * * [simplify]: iters left: 2 (333 enodes) 443.785 * * [simplify]: Extracting #0: cost 1 inf + 0 443.785 * * [simplify]: Extracting #1: cost 0 inf + 1 443.785 * [simplify]: Simplified to 0 443.785 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 0))) 443.786 * * * * [progress]: [ 762 / 2246 ] simplifiying candidate # 443.786 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 443.786 * * [simplify]: iters left: 6 (20 enodes) 443.791 * * [simplify]: iters left: 5 (78 enodes) 443.802 * * [simplify]: iters left: 4 (119 enodes) 443.820 * * [simplify]: iters left: 3 (206 enodes) 443.861 * * [simplify]: iters left: 2 (326 enodes) 443.929 * * [simplify]: iters left: 1 (437 enodes) 444.025 * * [simplify]: Extracting #0: cost 1 inf + 0 444.025 * * [simplify]: Extracting #1: cost 10 inf + 0 444.026 * * [simplify]: Extracting #2: cost 58 inf + 0 444.026 * * [simplify]: Extracting #3: cost 112 inf + 44 444.027 * * [simplify]: Extracting #4: cost 111 inf + 244 444.027 * * [simplify]: Extracting #5: cost 105 inf + 912 444.029 * * [simplify]: Extracting #6: cost 67 inf + 12786 444.035 * * [simplify]: Extracting #7: cost 12 inf + 34942 444.043 * * [simplify]: Extracting #8: cost 0 inf + 40715 444.050 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 444.051 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))))) 444.051 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)))) 444.051 * * [simplify]: iters left: 6 (16 enodes) 444.056 * * [simplify]: iters left: 5 (63 enodes) 444.065 * * [simplify]: iters left: 4 (94 enodes) 444.082 * * [simplify]: iters left: 3 (179 enodes) 444.118 * * [simplify]: iters left: 2 (303 enodes) 444.182 * * [simplify]: iters left: 1 (423 enodes) 444.282 * * [simplify]: Extracting #0: cost 1 inf + 0 444.282 * * [simplify]: Extracting #1: cost 0 inf + 1 444.282 * [simplify]: Simplified to 0 444.282 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 444.282 * * * * [progress]: [ 763 / 2246 ] simplifiying candidate # 444.282 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 444.282 * * [simplify]: iters left: 6 (20 enodes) 444.287 * * [simplify]: iters left: 5 (78 enodes) 444.301 * * [simplify]: iters left: 4 (119 enodes) 444.319 * * [simplify]: iters left: 3 (206 enodes) 444.359 * * [simplify]: iters left: 2 (326 enodes) 444.426 * * [simplify]: iters left: 1 (437 enodes) 444.520 * * [simplify]: Extracting #0: cost 1 inf + 0 444.521 * * [simplify]: Extracting #1: cost 10 inf + 0 444.521 * * [simplify]: Extracting #2: cost 58 inf + 0 444.521 * * [simplify]: Extracting #3: cost 112 inf + 44 444.522 * * [simplify]: Extracting #4: cost 111 inf + 244 444.522 * * [simplify]: Extracting #5: cost 105 inf + 912 444.526 * * [simplify]: Extracting #6: cost 67 inf + 12786 444.532 * * [simplify]: Extracting #7: cost 12 inf + 34942 444.540 * * [simplify]: Extracting #8: cost 0 inf + 40715 444.547 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 444.547 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))))) 444.548 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)))) 444.548 * * [simplify]: iters left: 6 (16 enodes) 444.553 * * [simplify]: iters left: 5 (63 enodes) 444.562 * * [simplify]: iters left: 4 (94 enodes) 444.577 * * [simplify]: iters left: 3 (179 enodes) 444.615 * * [simplify]: iters left: 2 (303 enodes) 444.680 * * [simplify]: iters left: 1 (423 enodes) 444.781 * * [simplify]: Extracting #0: cost 1 inf + 0 444.781 * * [simplify]: Extracting #1: cost 0 inf + 1 444.781 * [simplify]: Simplified to 0 444.781 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 444.781 * * * * [progress]: [ 764 / 2246 ] simplifiying candidate # 444.781 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 444.781 * * [simplify]: iters left: 6 (18 enodes) 444.786 * * [simplify]: iters left: 5 (69 enodes) 444.797 * * [simplify]: iters left: 4 (126 enodes) 444.819 * * [simplify]: iters left: 3 (222 enodes) 444.870 * * [simplify]: iters left: 2 (387 enodes) 444.971 * * [simplify]: Extracting #0: cost 1 inf + 0 444.971 * * [simplify]: Extracting #1: cost 12 inf + 0 444.971 * * [simplify]: Extracting #2: cost 67 inf + 0 444.972 * * [simplify]: Extracting #3: cost 120 inf + 44 444.972 * * [simplify]: Extracting #4: cost 117 inf + 301 444.973 * * [simplify]: Extracting #5: cost 109 inf + 1646 444.975 * * [simplify]: Extracting #6: cost 58 inf + 18674 444.982 * * [simplify]: Extracting #7: cost 6 inf + 40707 444.991 * * [simplify]: Extracting #8: cost 0 inf + 43750 445.000 * [simplify]: Simplified to (- (/ 1/2 (* (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 445.000 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (* (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))))) 445.001 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1))) 445.001 * * [simplify]: iters left: 6 (15 enodes) 445.005 * * [simplify]: iters left: 5 (58 enodes) 445.014 * * [simplify]: iters left: 4 (100 enodes) 445.031 * * [simplify]: iters left: 3 (192 enodes) 445.075 * * [simplify]: iters left: 2 (333 enodes) 445.153 * * [simplify]: Extracting #0: cost 1 inf + 0 445.153 * * [simplify]: Extracting #1: cost 0 inf + 1 445.153 * [simplify]: Simplified to 0 445.154 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 0))) 445.154 * * * * [progress]: [ 765 / 2246 ] simplifiying candidate # 445.154 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 445.154 * * [simplify]: iters left: 6 (19 enodes) 445.159 * * [simplify]: iters left: 5 (73 enodes) 445.170 * * [simplify]: iters left: 4 (123 enodes) 445.191 * * [simplify]: iters left: 3 (179 enodes) 445.217 * * [simplify]: iters left: 2 (239 enodes) 445.253 * * [simplify]: iters left: 1 (297 enodes) 445.294 * * [simplify]: Extracting #0: cost 1 inf + 0 445.294 * * [simplify]: Extracting #1: cost 10 inf + 0 445.294 * * [simplify]: Extracting #2: cost 52 inf + 0 445.295 * * [simplify]: Extracting #3: cost 83 inf + 43 445.295 * * [simplify]: Extracting #4: cost 85 inf + 86 445.295 * * [simplify]: Extracting #5: cost 76 inf + 1031 445.296 * * [simplify]: Extracting #6: cost 64 inf + 3648 445.299 * * [simplify]: Extracting #7: cost 26 inf + 16342 445.305 * * [simplify]: Extracting #8: cost 2 inf + 25496 445.312 * * [simplify]: Extracting #9: cost 0 inf + 26249 445.319 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 445.319 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 445.320 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 445.320 * * [simplify]: iters left: 6 (16 enodes) 445.324 * * [simplify]: iters left: 5 (62 enodes) 445.333 * * [simplify]: iters left: 4 (99 enodes) 445.348 * * [simplify]: iters left: 3 (150 enodes) 445.371 * * [simplify]: iters left: 2 (222 enodes) 445.404 * * [simplify]: iters left: 1 (302 enodes) 445.449 * * [simplify]: Extracting #0: cost 1 inf + 0 445.449 * * [simplify]: Extracting #1: cost 0 inf + 1 445.449 * [simplify]: Simplified to 0 445.449 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 445.449 * * * * [progress]: [ 766 / 2246 ] simplifiying candidate # 445.450 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 445.450 * * [simplify]: iters left: 6 (16 enodes) 445.454 * * [simplify]: iters left: 5 (61 enodes) 445.463 * * [simplify]: iters left: 4 (91 enodes) 445.476 * * [simplify]: iters left: 3 (128 enodes) 445.494 * * [simplify]: iters left: 2 (171 enodes) 445.520 * * [simplify]: iters left: 1 (217 enodes) 445.550 * * [simplify]: Extracting #0: cost 1 inf + 0 445.550 * * [simplify]: Extracting #1: cost 20 inf + 0 445.550 * * [simplify]: Extracting #2: cost 70 inf + 0 445.550 * * [simplify]: Extracting #3: cost 85 inf + 43 445.551 * * [simplify]: Extracting #4: cost 87 inf + 85 445.551 * * [simplify]: Extracting #5: cost 78 inf + 1526 445.554 * * [simplify]: Extracting #6: cost 31 inf + 16045 445.560 * * [simplify]: Extracting #7: cost 1 inf + 28753 445.567 * * [simplify]: Extracting #8: cost 0 inf + 29291 445.574 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 445.574 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 445.575 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 445.575 * * [simplify]: iters left: 6 (14 enodes) 445.578 * * [simplify]: iters left: 5 (54 enodes) 445.588 * * [simplify]: iters left: 4 (77 enodes) 445.599 * * [simplify]: iters left: 3 (106 enodes) 445.613 * * [simplify]: iters left: 2 (137 enodes) 445.631 * * [simplify]: iters left: 1 (167 enodes) 445.651 * * [simplify]: Extracting #0: cost 1 inf + 0 445.651 * * [simplify]: Extracting #1: cost 0 inf + 1 445.651 * [simplify]: Simplified to 0 445.652 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 445.652 * * * * [progress]: [ 767 / 2246 ] simplifiying candidate # 445.652 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 445.652 * * [simplify]: iters left: 6 (17 enodes) 445.657 * * [simplify]: iters left: 5 (64 enodes) 445.667 * * [simplify]: iters left: 4 (98 enodes) 445.682 * * [simplify]: iters left: 3 (154 enodes) 445.704 * * [simplify]: iters left: 2 (202 enodes) 445.738 * * [simplify]: iters left: 1 (262 enodes) 445.774 * * [simplify]: Extracting #0: cost 1 inf + 0 445.774 * * [simplify]: Extracting #1: cost 10 inf + 0 445.774 * * [simplify]: Extracting #2: cost 39 inf + 0 445.774 * * [simplify]: Extracting #3: cost 55 inf + 44 445.775 * * [simplify]: Extracting #4: cost 51 inf + 810 445.775 * * [simplify]: Extracting #5: cost 37 inf + 3921 445.778 * * [simplify]: Extracting #6: cost 6 inf + 12792 445.782 * * [simplify]: Extracting #7: cost 0 inf + 14370 445.787 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 445.787 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))))) 445.787 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1))) 445.787 * * [simplify]: iters left: 6 (14 enodes) 445.791 * * [simplify]: iters left: 5 (53 enodes) 445.798 * * [simplify]: iters left: 4 (78 enodes) 445.810 * * [simplify]: iters left: 3 (126 enodes) 445.829 * * [simplify]: iters left: 2 (171 enodes) 445.858 * * [simplify]: iters left: 1 (225 enodes) 445.886 * * [simplify]: Extracting #0: cost 1 inf + 0 445.886 * * [simplify]: Extracting #1: cost 0 inf + 1 445.886 * [simplify]: Simplified to 0 445.886 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 445.886 * * * * [progress]: [ 768 / 2246 ] simplifiying candidate # 445.886 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 445.886 * * [simplify]: iters left: 6 (19 enodes) 445.892 * * [simplify]: iters left: 5 (73 enodes) 445.902 * * [simplify]: iters left: 4 (104 enodes) 445.918 * * [simplify]: iters left: 3 (148 enodes) 445.938 * * [simplify]: iters left: 2 (192 enodes) 445.964 * * [simplify]: iters left: 1 (231 enodes) 445.998 * * [simplify]: Extracting #0: cost 1 inf + 0 445.999 * * [simplify]: Extracting #1: cost 10 inf + 0 445.999 * * [simplify]: Extracting #2: cost 39 inf + 0 445.999 * * [simplify]: Extracting #3: cost 55 inf + 44 445.999 * * [simplify]: Extracting #4: cost 49 inf + 810 446.000 * * [simplify]: Extracting #5: cost 38 inf + 3311 446.002 * * [simplify]: Extracting #6: cost 21 inf + 7588 446.005 * * [simplify]: Extracting #7: cost 2 inf + 13316 446.008 * * [simplify]: Extracting #8: cost 0 inf + 13951 446.011 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 446.011 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))))) 446.012 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)))) 446.012 * * [simplify]: iters left: 6 (15 enodes) 446.016 * * [simplify]: iters left: 5 (58 enodes) 446.024 * * [simplify]: iters left: 4 (84 enodes) 446.037 * * [simplify]: iters left: 3 (133 enodes) 446.057 * * [simplify]: iters left: 2 (175 enodes) 446.079 * * [simplify]: iters left: 1 (209 enodes) 446.106 * * [simplify]: Extracting #0: cost 1 inf + 0 446.106 * * [simplify]: Extracting #1: cost 0 inf + 1 446.106 * [simplify]: Simplified to 0 446.106 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 446.106 * * * * [progress]: [ 769 / 2246 ] simplifiying candidate # 446.106 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 446.106 * * [simplify]: iters left: 6 (19 enodes) 446.113 * * [simplify]: iters left: 5 (73 enodes) 446.123 * * [simplify]: iters left: 4 (104 enodes) 446.138 * * [simplify]: iters left: 3 (148 enodes) 446.158 * * [simplify]: iters left: 2 (192 enodes) 446.186 * * [simplify]: iters left: 1 (231 enodes) 446.218 * * [simplify]: Extracting #0: cost 1 inf + 0 446.218 * * [simplify]: Extracting #1: cost 10 inf + 0 446.218 * * [simplify]: Extracting #2: cost 39 inf + 0 446.218 * * [simplify]: Extracting #3: cost 55 inf + 44 446.218 * * [simplify]: Extracting #4: cost 49 inf + 810 446.219 * * [simplify]: Extracting #5: cost 38 inf + 3311 446.221 * * [simplify]: Extracting #6: cost 21 inf + 7588 446.224 * * [simplify]: Extracting #7: cost 2 inf + 13316 446.227 * * [simplify]: Extracting #8: cost 0 inf + 13951 446.231 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 446.231 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))))) 446.231 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)))) 446.231 * * [simplify]: iters left: 6 (15 enodes) 446.235 * * [simplify]: iters left: 5 (58 enodes) 446.243 * * [simplify]: iters left: 4 (84 enodes) 446.258 * * [simplify]: iters left: 3 (133 enodes) 446.276 * * [simplify]: iters left: 2 (175 enodes) 446.298 * * [simplify]: iters left: 1 (209 enodes) 446.327 * * [simplify]: Extracting #0: cost 1 inf + 0 446.327 * * [simplify]: Extracting #1: cost 0 inf + 1 446.327 * [simplify]: Simplified to 0 446.327 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 446.327 * * * * [progress]: [ 770 / 2246 ] simplifiying candidate # 446.327 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 446.328 * * [simplify]: iters left: 6 (17 enodes) 446.332 * * [simplify]: iters left: 5 (64 enodes) 446.341 * * [simplify]: iters left: 4 (98 enodes) 446.357 * * [simplify]: iters left: 3 (154 enodes) 446.380 * * [simplify]: iters left: 2 (202 enodes) 446.412 * * [simplify]: iters left: 1 (262 enodes) 446.450 * * [simplify]: Extracting #0: cost 1 inf + 0 446.450 * * [simplify]: Extracting #1: cost 10 inf + 0 446.450 * * [simplify]: Extracting #2: cost 39 inf + 0 446.451 * * [simplify]: Extracting #3: cost 55 inf + 44 446.451 * * [simplify]: Extracting #4: cost 51 inf + 810 446.452 * * [simplify]: Extracting #5: cost 37 inf + 3921 446.454 * * [simplify]: Extracting #6: cost 6 inf + 12792 446.458 * * [simplify]: Extracting #7: cost 0 inf + 14370 446.462 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 446.462 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))))) 446.462 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1))) 446.462 * * [simplify]: iters left: 6 (14 enodes) 446.466 * * [simplify]: iters left: 5 (53 enodes) 446.473 * * [simplify]: iters left: 4 (78 enodes) 446.486 * * [simplify]: iters left: 3 (126 enodes) 446.505 * * [simplify]: iters left: 2 (171 enodes) 446.534 * * [simplify]: iters left: 1 (225 enodes) 446.562 * * [simplify]: Extracting #0: cost 1 inf + 0 446.562 * * [simplify]: Extracting #1: cost 0 inf + 1 446.562 * [simplify]: Simplified to 0 446.562 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 446.562 * * * * [progress]: [ 771 / 2246 ] simplifiying candidate # 446.563 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 446.563 * * [simplify]: iters left: 6 (24 enodes) 446.568 * * [simplify]: iters left: 5 (98 enodes) 446.586 * * [simplify]: iters left: 4 (229 enodes) 446.651 * * [simplify]: Extracting #0: cost 1 inf + 0 446.651 * * [simplify]: Extracting #1: cost 10 inf + 0 446.652 * * [simplify]: Extracting #2: cost 146 inf + 0 446.652 * * [simplify]: Extracting #3: cost 263 inf + 1 446.653 * * [simplify]: Extracting #4: cost 260 inf + 810 446.654 * * [simplify]: Extracting #5: cost 241 inf + 4791 446.656 * * [simplify]: Extracting #6: cost 210 inf + 15383 446.660 * * [simplify]: Extracting #7: cost 170 inf + 33223 446.679 * * [simplify]: Extracting #8: cost 30 inf + 115503 446.703 * * [simplify]: Extracting #9: cost 0 inf + 132941 446.728 * * [simplify]: Extracting #10: cost 0 inf + 132901 446.752 * [simplify]: Simplified to (- (* (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))))) 446.752 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 446.753 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 446.753 * * [simplify]: iters left: 6 (21 enodes) 446.758 * * [simplify]: iters left: 5 (87 enodes) 446.772 * * [simplify]: iters left: 4 (200 enodes) 446.831 * * [simplify]: Extracting #0: cost 1 inf + 0 446.831 * * [simplify]: Extracting #1: cost 25 inf + 0 446.832 * * [simplify]: Extracting #2: cost 150 inf + 0 446.832 * * [simplify]: Extracting #3: cost 243 inf + 1 446.833 * * [simplify]: Extracting #4: cost 245 inf + 365 446.834 * * [simplify]: Extracting #5: cost 226 inf + 4202 446.836 * * [simplify]: Extracting #6: cost 200 inf + 13225 446.841 * * [simplify]: Extracting #7: cost 154 inf + 36777 446.862 * * [simplify]: Extracting #8: cost 20 inf + 116269 446.885 * * [simplify]: Extracting #9: cost 0 inf + 128603 446.908 * [simplify]: Simplified to (- (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 446.908 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) (- (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 446.909 * * * * [progress]: [ 772 / 2246 ] simplifiying candidate # 446.909 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 446.909 * * [simplify]: iters left: 6 (22 enodes) 446.915 * * [simplify]: iters left: 5 (90 enodes) 446.929 * * [simplify]: iters left: 4 (190 enodes) 446.974 * * [simplify]: Extracting #0: cost 1 inf + 0 446.974 * * [simplify]: Extracting #1: cost 10 inf + 0 446.974 * * [simplify]: Extracting #2: cost 107 inf + 0 446.975 * * [simplify]: Extracting #3: cost 190 inf + 0 446.975 * * [simplify]: Extracting #4: cost 184 inf + 972 446.976 * * [simplify]: Extracting #5: cost 167 inf + 4630 446.978 * * [simplify]: Extracting #6: cost 135 inf + 15801 446.982 * * [simplify]: Extracting #7: cost 103 inf + 29355 446.994 * * [simplify]: Extracting #8: cost 22 inf + 72053 447.011 * * [simplify]: Extracting #9: cost 0 inf + 85009 447.026 * [simplify]: Simplified to (- (* (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) 447.026 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 447.026 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 447.026 * * [simplify]: iters left: 6 (20 enodes) 447.031 * * [simplify]: iters left: 5 (82 enodes) 447.045 * * [simplify]: iters left: 4 (166 enodes) 447.086 * * [simplify]: Extracting #0: cost 1 inf + 0 447.086 * * [simplify]: Extracting #1: cost 22 inf + 0 447.086 * * [simplify]: Extracting #2: cost 106 inf + 0 447.087 * * [simplify]: Extracting #3: cost 175 inf + 0 447.087 * * [simplify]: Extracting #4: cost 174 inf + 286 447.088 * * [simplify]: Extracting #5: cost 165 inf + 2060 447.089 * * [simplify]: Extracting #6: cost 133 inf + 12055 447.091 * * [simplify]: Extracting #7: cost 124 inf + 14115 447.097 * * [simplify]: Extracting #8: cost 61 inf + 47169 447.110 * * [simplify]: Extracting #9: cost 3 inf + 80053 447.125 * * [simplify]: Extracting #10: cost 0 inf + 81907 447.139 * [simplify]: Simplified to (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 447.139 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))))))) 447.139 * * * * [progress]: [ 773 / 2246 ] simplifiying candidate # 447.139 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 447.140 * * [simplify]: iters left: 6 (22 enodes) 447.145 * * [simplify]: iters left: 5 (87 enodes) 447.163 * * [simplify]: iters left: 4 (200 enodes) 447.215 * * [simplify]: Extracting #0: cost 1 inf + 0 447.215 * * [simplify]: Extracting #1: cost 12 inf + 0 447.215 * * [simplify]: Extracting #2: cost 112 inf + 0 447.215 * * [simplify]: Extracting #3: cost 186 inf + 1 447.216 * * [simplify]: Extracting #4: cost 181 inf + 1013 447.217 * * [simplify]: Extracting #5: cost 154 inf + 7593 447.221 * * [simplify]: Extracting #6: cost 82 inf + 33569 447.232 * * [simplify]: Extracting #7: cost 10 inf + 67465 447.244 * * [simplify]: Extracting #8: cost 0 inf + 72245 447.256 * [simplify]: Simplified to (- (* (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (* (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) 447.256 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (* (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 447.257 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 447.257 * * [simplify]: iters left: 6 (19 enodes) 447.262 * * [simplify]: iters left: 5 (76 enodes) 447.275 * * [simplify]: iters left: 4 (173 enodes) 447.320 * * [simplify]: Extracting #0: cost 1 inf + 0 447.321 * * [simplify]: Extracting #1: cost 14 inf + 0 447.321 * * [simplify]: Extracting #2: cost 90 inf + 0 447.321 * * [simplify]: Extracting #3: cost 150 inf + 1 447.322 * * [simplify]: Extracting #4: cost 151 inf + 286 447.322 * * [simplify]: Extracting #5: cost 139 inf + 2371 447.324 * * [simplify]: Extracting #6: cost 93 inf + 16977 447.331 * * [simplify]: Extracting #7: cost 13 inf + 53665 447.342 * * [simplify]: Extracting #8: cost 0 inf + 59778 447.354 * [simplify]: Simplified to (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 447.354 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 447.354 * * * * [progress]: [ 774 / 2246 ] simplifiying candidate # 447.354 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 447.354 * * [simplify]: iters left: 6 (24 enodes) 447.361 * * [simplify]: iters left: 5 (97 enodes) 447.376 * * [simplify]: iters left: 4 (167 enodes) 447.415 * * [simplify]: iters left: 3 (478 enodes) 447.633 * * [simplify]: Extracting #0: cost 1 inf + 0 447.633 * * [simplify]: Extracting #1: cost 20 inf + 0 447.633 * * [simplify]: Extracting #2: cost 176 inf + 0 447.634 * * [simplify]: Extracting #3: cost 292 inf + 43 447.636 * * [simplify]: Extracting #4: cost 290 inf + 1133 447.637 * * [simplify]: Extracting #5: cost 258 inf + 8688 447.644 * * [simplify]: Extracting #6: cost 155 inf + 47945 447.665 * * [simplify]: Extracting #7: cost 20 inf + 109980 447.690 * * [simplify]: Extracting #8: cost 0 inf + 119200 447.718 * * [simplify]: Extracting #9: cost 0 inf + 119145 447.743 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 447.743 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 447.744 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 447.744 * * [simplify]: iters left: 6 (20 enodes) 447.750 * * [simplify]: iters left: 5 (82 enodes) 447.763 * * [simplify]: iters left: 4 (138 enodes) 447.796 * * [simplify]: iters left: 3 (402 enodes) 447.975 * * [simplify]: Extracting #0: cost 1 inf + 0 447.975 * * [simplify]: Extracting #1: cost 0 inf + 1 447.975 * [simplify]: Simplified to 0 447.975 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 0))) 447.975 * * * * [progress]: [ 775 / 2246 ] simplifiying candidate # 447.975 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 447.976 * * [simplify]: iters left: 6 (24 enodes) 447.982 * * [simplify]: iters left: 5 (97 enodes) 448.001 * * [simplify]: iters left: 4 (167 enodes) 448.039 * * [simplify]: iters left: 3 (478 enodes) 448.256 * * [simplify]: Extracting #0: cost 1 inf + 0 448.256 * * [simplify]: Extracting #1: cost 20 inf + 0 448.257 * * [simplify]: Extracting #2: cost 176 inf + 0 448.258 * * [simplify]: Extracting #3: cost 292 inf + 43 448.259 * * [simplify]: Extracting #4: cost 290 inf + 1133 448.261 * * [simplify]: Extracting #5: cost 258 inf + 8688 448.271 * * [simplify]: Extracting #6: cost 155 inf + 47945 448.291 * * [simplify]: Extracting #7: cost 20 inf + 109980 448.317 * * [simplify]: Extracting #8: cost 0 inf + 119200 448.342 * * [simplify]: Extracting #9: cost 0 inf + 119145 448.369 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 448.369 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 448.369 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 448.369 * * [simplify]: iters left: 6 (20 enodes) 448.375 * * [simplify]: iters left: 5 (82 enodes) 448.388 * * [simplify]: iters left: 4 (138 enodes) 448.421 * * [simplify]: iters left: 3 (402 enodes) 448.596 * * [simplify]: Extracting #0: cost 1 inf + 0 448.596 * * [simplify]: Extracting #1: cost 0 inf + 1 448.596 * [simplify]: Simplified to 0 448.596 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 0))) 448.597 * * * * [progress]: [ 776 / 2246 ] simplifiying candidate # 448.597 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 448.597 * * [simplify]: iters left: 6 (22 enodes) 448.603 * * [simplify]: iters left: 5 (87 enodes) 448.618 * * [simplify]: iters left: 4 (200 enodes) 448.672 * * [simplify]: Extracting #0: cost 1 inf + 0 448.672 * * [simplify]: Extracting #1: cost 12 inf + 0 448.673 * * [simplify]: Extracting #2: cost 112 inf + 0 448.673 * * [simplify]: Extracting #3: cost 186 inf + 1 448.674 * * [simplify]: Extracting #4: cost 181 inf + 1013 448.675 * * [simplify]: Extracting #5: cost 154 inf + 7593 448.679 * * [simplify]: Extracting #6: cost 82 inf + 33569 448.690 * * [simplify]: Extracting #7: cost 10 inf + 67465 448.702 * * [simplify]: Extracting #8: cost 0 inf + 72245 448.716 * [simplify]: Simplified to (- (* (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (* (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) 448.716 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (* (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 448.717 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 448.717 * * [simplify]: iters left: 6 (19 enodes) 448.722 * * [simplify]: iters left: 5 (76 enodes) 448.735 * * [simplify]: iters left: 4 (173 enodes) 448.782 * * [simplify]: Extracting #0: cost 1 inf + 0 448.782 * * [simplify]: Extracting #1: cost 14 inf + 0 448.782 * * [simplify]: Extracting #2: cost 90 inf + 0 448.782 * * [simplify]: Extracting #3: cost 150 inf + 1 448.783 * * [simplify]: Extracting #4: cost 151 inf + 286 448.783 * * [simplify]: Extracting #5: cost 139 inf + 2371 448.785 * * [simplify]: Extracting #6: cost 93 inf + 16977 448.792 * * [simplify]: Extracting #7: cost 13 inf + 53665 448.803 * * [simplify]: Extracting #8: cost 0 inf + 59778 448.813 * [simplify]: Simplified to (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 448.813 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 448.814 * * * * [progress]: [ 777 / 2246 ] simplifiying candidate # 448.814 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 448.814 * * [simplify]: iters left: 6 (23 enodes) 448.820 * * [simplify]: iters left: 5 (92 enodes) 448.835 * * [simplify]: iters left: 4 (198 enodes) 448.884 * * [simplify]: Extracting #0: cost 1 inf + 0 448.884 * * [simplify]: Extracting #1: cost 10 inf + 0 448.884 * * [simplify]: Extracting #2: cost 106 inf + 0 448.885 * * [simplify]: Extracting #3: cost 191 inf + 0 448.885 * * [simplify]: Extracting #4: cost 188 inf + 608 448.886 * * [simplify]: Extracting #5: cost 170 inf + 4028 448.888 * * [simplify]: Extracting #6: cost 155 inf + 8700 448.890 * * [simplify]: Extracting #7: cost 128 inf + 19204 448.903 * * [simplify]: Extracting #8: cost 23 inf + 76054 448.922 * * [simplify]: Extracting #9: cost 0 inf + 89628 448.940 * * [simplify]: Extracting #10: cost 0 inf + 88668 448.957 * [simplify]: Simplified to (- (* (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))))) 448.957 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 448.958 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 448.958 * * [simplify]: iters left: 6 (20 enodes) 448.963 * * [simplify]: iters left: 5 (81 enodes) 448.976 * * [simplify]: iters left: 4 (169 enodes) 449.020 * * [simplify]: Extracting #0: cost 1 inf + 0 449.021 * * [simplify]: Extracting #1: cost 22 inf + 0 449.021 * * [simplify]: Extracting #2: cost 104 inf + 0 449.021 * * [simplify]: Extracting #3: cost 169 inf + 0 449.022 * * [simplify]: Extracting #4: cost 160 inf + 1174 449.023 * * [simplify]: Extracting #5: cost 140 inf + 5986 449.024 * * [simplify]: Extracting #6: cost 136 inf + 7316 449.025 * * [simplify]: Extracting #7: cost 132 inf + 7868 449.030 * * [simplify]: Extracting #8: cost 72 inf + 39468 449.045 * * [simplify]: Extracting #9: cost 3 inf + 80030 449.061 * * [simplify]: Extracting #10: cost 0 inf + 81164 449.078 * * [simplify]: Extracting #11: cost 0 inf + 80644 449.094 * * [simplify]: Extracting #12: cost 0 inf + 80484 449.110 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) 449.110 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))))))) 449.110 * * * * [progress]: [ 778 / 2246 ] simplifiying candidate # 449.110 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 449.110 * * [simplify]: iters left: 6 (21 enodes) 449.116 * * [simplify]: iters left: 5 (83 enodes) 449.130 * * [simplify]: iters left: 4 (162 enodes) 449.166 * * [simplify]: iters left: 3 (426 enodes) 449.303 * * [simplify]: Extracting #0: cost 1 inf + 0 449.303 * * [simplify]: Extracting #1: cost 10 inf + 0 449.303 * * [simplify]: Extracting #2: cost 130 inf + 0 449.304 * * [simplify]: Extracting #3: cost 254 inf + 0 449.305 * * [simplify]: Extracting #4: cost 252 inf + 649 449.307 * * [simplify]: Extracting #5: cost 232 inf + 4287 449.312 * * [simplify]: Extracting #6: cost 170 inf + 26981 449.335 * * [simplify]: Extracting #7: cost 30 inf + 93141 449.361 * * [simplify]: Extracting #8: cost 0 inf + 108521 449.388 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 449.388 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 449.388 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 449.389 * * [simplify]: iters left: 6 (19 enodes) 449.393 * * [simplify]: iters left: 5 (75 enodes) 449.406 * * [simplify]: iters left: 4 (138 enodes) 449.436 * * [simplify]: iters left: 3 (364 enodes) 449.563 * * [simplify]: Extracting #0: cost 1 inf + 0 449.563 * * [simplify]: Extracting #1: cost 0 inf + 1 449.563 * [simplify]: Simplified to 0 449.563 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 449.563 * * * * [progress]: [ 779 / 2246 ] simplifiying candidate # 449.564 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 449.564 * * [simplify]: iters left: 6 (21 enodes) 449.569 * * [simplify]: iters left: 5 (82 enodes) 449.583 * * [simplify]: iters left: 4 (156 enodes) 449.619 * * [simplify]: iters left: 3 (387 enodes) 449.764 * * [simplify]: Extracting #0: cost 1 inf + 0 449.764 * * [simplify]: Extracting #1: cost 10 inf + 0 449.765 * * [simplify]: Extracting #2: cost 110 inf + 0 449.765 * * [simplify]: Extracting #3: cost 196 inf + 1 449.767 * * [simplify]: Extracting #4: cost 194 inf + 731 449.768 * * [simplify]: Extracting #5: cost 171 inf + 4704 449.774 * * [simplify]: Extracting #6: cost 83 inf + 36156 449.791 * * [simplify]: Extracting #7: cost 3 inf + 69051 449.809 * * [simplify]: Extracting #8: cost 0 inf + 70290 449.828 * * [simplify]: Extracting #9: cost 0 inf + 70250 449.847 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 449.847 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))))) 449.847 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1))) 449.848 * * [simplify]: iters left: 6 (18 enodes) 449.852 * * [simplify]: iters left: 5 (71 enodes) 449.864 * * [simplify]: iters left: 4 (130 enodes) 449.892 * * [simplify]: iters left: 3 (341 enodes) 450.018 * * [simplify]: Extracting #0: cost 1 inf + 0 450.018 * * [simplify]: Extracting #1: cost 0 inf + 1 450.018 * [simplify]: Simplified to 0 450.019 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 0))) 450.019 * * * * [progress]: [ 780 / 2246 ] simplifiying candidate # 450.019 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) 450.019 * * [simplify]: iters left: 6 (23 enodes) 450.026 * * [simplify]: iters left: 5 (91 enodes) 450.039 * * [simplify]: iters left: 4 (144 enodes) 450.066 * * [simplify]: iters left: 3 (328 enodes) 450.162 * * [simplify]: Extracting #0: cost 1 inf + 0 450.162 * * [simplify]: Extracting #1: cost 10 inf + 0 450.163 * * [simplify]: Extracting #2: cost 84 inf + 0 450.163 * * [simplify]: Extracting #3: cost 177 inf + 1 450.164 * * [simplify]: Extracting #4: cost 186 inf + 43 450.165 * * [simplify]: Extracting #5: cost 172 inf + 2017 450.168 * * [simplify]: Extracting #6: cost 109 inf + 19166 450.180 * * [simplify]: Extracting #7: cost 17 inf + 57240 450.195 * * [simplify]: Extracting #8: cost 0 inf + 64456 450.212 * * [simplify]: Extracting #9: cost 0 inf + 64401 450.227 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 450.227 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))))) 450.228 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)))) 450.228 * * [simplify]: iters left: 6 (19 enodes) 450.233 * * [simplify]: iters left: 5 (76 enodes) 450.245 * * [simplify]: iters left: 4 (115 enodes) 450.266 * * [simplify]: iters left: 3 (283 enodes) 450.360 * * [simplify]: Extracting #0: cost 1 inf + 0 450.360 * * [simplify]: Extracting #1: cost 28 inf + 0 450.360 * * [simplify]: Extracting #2: cost 102 inf + 1 450.361 * * [simplify]: Extracting #3: cost 142 inf + 691 450.362 * * [simplify]: Extracting #4: cost 131 inf + 3683 450.364 * * [simplify]: Extracting #5: cost 102 inf + 11388 450.367 * * [simplify]: Extracting #6: cost 97 inf + 12896 450.373 * * [simplify]: Extracting #7: cost 45 inf + 33427 450.386 * * [simplify]: Extracting #8: cost 0 inf + 53907 450.402 * * [simplify]: Extracting #9: cost 0 inf + 53757 450.415 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 450.415 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 450.415 * * * * [progress]: [ 781 / 2246 ] simplifiying candidate # 450.415 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) 450.416 * * [simplify]: iters left: 6 (23 enodes) 450.423 * * [simplify]: iters left: 5 (91 enodes) 450.436 * * [simplify]: iters left: 4 (144 enodes) 450.463 * * [simplify]: iters left: 3 (328 enodes) 450.559 * * [simplify]: Extracting #0: cost 1 inf + 0 450.559 * * [simplify]: Extracting #1: cost 10 inf + 0 450.559 * * [simplify]: Extracting #2: cost 84 inf + 0 450.559 * * [simplify]: Extracting #3: cost 177 inf + 1 450.560 * * [simplify]: Extracting #4: cost 186 inf + 43 450.561 * * [simplify]: Extracting #5: cost 172 inf + 2017 450.564 * * [simplify]: Extracting #6: cost 109 inf + 19166 450.576 * * [simplify]: Extracting #7: cost 17 inf + 57240 450.593 * * [simplify]: Extracting #8: cost 0 inf + 64456 450.608 * * [simplify]: Extracting #9: cost 0 inf + 64401 450.623 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 450.624 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))))) 450.624 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)))) 450.624 * * [simplify]: iters left: 6 (19 enodes) 450.629 * * [simplify]: iters left: 5 (76 enodes) 450.641 * * [simplify]: iters left: 4 (115 enodes) 450.662 * * [simplify]: iters left: 3 (283 enodes) 450.757 * * [simplify]: Extracting #0: cost 1 inf + 0 450.757 * * [simplify]: Extracting #1: cost 28 inf + 0 450.757 * * [simplify]: Extracting #2: cost 102 inf + 1 450.758 * * [simplify]: Extracting #3: cost 142 inf + 691 450.759 * * [simplify]: Extracting #4: cost 131 inf + 3683 450.761 * * [simplify]: Extracting #5: cost 102 inf + 11388 450.764 * * [simplify]: Extracting #6: cost 97 inf + 12896 450.770 * * [simplify]: Extracting #7: cost 45 inf + 33427 450.785 * * [simplify]: Extracting #8: cost 0 inf + 53907 450.799 * * [simplify]: Extracting #9: cost 0 inf + 53757 450.812 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 450.812 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 450.812 * * * * [progress]: [ 782 / 2246 ] simplifiying candidate # 450.813 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 450.813 * * [simplify]: iters left: 6 (21 enodes) 450.818 * * [simplify]: iters left: 5 (82 enodes) 450.831 * * [simplify]: iters left: 4 (156 enodes) 450.866 * * [simplify]: iters left: 3 (387 enodes) 451.009 * * [simplify]: Extracting #0: cost 1 inf + 0 451.010 * * [simplify]: Extracting #1: cost 10 inf + 0 451.010 * * [simplify]: Extracting #2: cost 110 inf + 0 451.010 * * [simplify]: Extracting #3: cost 196 inf + 1 451.011 * * [simplify]: Extracting #4: cost 194 inf + 731 451.013 * * [simplify]: Extracting #5: cost 171 inf + 4704 451.019 * * [simplify]: Extracting #6: cost 83 inf + 36156 451.038 * * [simplify]: Extracting #7: cost 3 inf + 69051 451.056 * * [simplify]: Extracting #8: cost 0 inf + 70290 451.074 * * [simplify]: Extracting #9: cost 0 inf + 70250 451.092 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 451.092 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))))) 451.093 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1))) 451.093 * * [simplify]: iters left: 6 (18 enodes) 451.097 * * [simplify]: iters left: 5 (71 enodes) 451.110 * * [simplify]: iters left: 4 (130 enodes) 451.138 * * [simplify]: iters left: 3 (341 enodes) 451.262 * * [simplify]: Extracting #0: cost 1 inf + 0 451.262 * * [simplify]: Extracting #1: cost 0 inf + 1 451.262 * [simplify]: Simplified to 0 451.262 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 0))) 451.262 * * * * [progress]: [ 783 / 2246 ] simplifiying candidate # 451.263 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 451.263 * * [simplify]: iters left: 6 (22 enodes) 451.268 * * [simplify]: iters left: 5 (87 enodes) 451.286 * * [simplify]: iters left: 4 (190 enodes) 451.329 * * [simplify]: Extracting #0: cost 1 inf + 0 451.329 * * [simplify]: Extracting #1: cost 10 inf + 0 451.330 * * [simplify]: Extracting #2: cost 91 inf + 0 451.330 * * [simplify]: Extracting #3: cost 159 inf + 1 451.331 * * [simplify]: Extracting #4: cost 154 inf + 224 451.331 * * [simplify]: Extracting #5: cost 138 inf + 3588 451.332 * * [simplify]: Extracting #6: cost 127 inf + 5816 451.333 * * [simplify]: Extracting #7: cost 123 inf + 6706 451.337 * * [simplify]: Extracting #8: cost 75 inf + 28130 451.351 * * [simplify]: Extracting #9: cost 5 inf + 63910 451.364 * * [simplify]: Extracting #10: cost 0 inf + 65800 451.377 * * [simplify]: Extracting #11: cost 0 inf + 65600 451.390 * [simplify]: Simplified to (- (* (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (hypot 1 x)))) 451.390 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (hypot 1 x)))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 451.391 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 451.391 * * [simplify]: iters left: 6 (19 enodes) 451.396 * * [simplify]: iters left: 5 (76 enodes) 451.409 * * [simplify]: iters left: 4 (163 enodes) 451.450 * * [simplify]: iters left: 3 (466 enodes) 451.661 * * [simplify]: Extracting #0: cost 1 inf + 0 451.661 * * [simplify]: Extracting #1: cost 0 inf + 1 451.661 * [simplify]: Simplified to 0 451.661 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 451.661 * * * * [progress]: [ 784 / 2246 ] simplifiying candidate # 451.661 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 451.661 * * [simplify]: iters left: 6 (20 enodes) 451.666 * * [simplify]: iters left: 5 (79 enodes) 451.680 * * [simplify]: iters left: 4 (154 enodes) 451.716 * * [simplify]: iters left: 3 (390 enodes) 451.848 * * [simplify]: Extracting #0: cost 1 inf + 0 451.848 * * [simplify]: Extracting #1: cost 10 inf + 0 451.848 * * [simplify]: Extracting #2: cost 97 inf + 0 451.849 * * [simplify]: Extracting #3: cost 191 inf + 44 451.850 * * [simplify]: Extracting #4: cost 176 inf + 2119 451.854 * * [simplify]: Extracting #5: cost 106 inf + 22545 451.871 * * [simplify]: Extracting #6: cost 16 inf + 60126 451.889 * * [simplify]: Extracting #7: cost 0 inf + 67294 451.907 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 451.907 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 451.908 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 451.908 * * [simplify]: iters left: 6 (18 enodes) 451.912 * * [simplify]: iters left: 5 (71 enodes) 451.924 * * [simplify]: iters left: 4 (132 enodes) 451.953 * * [simplify]: iters left: 3 (327 enodes) 452.068 * * [simplify]: Extracting #0: cost 1 inf + 0 452.068 * * [simplify]: Extracting #1: cost 0 inf + 1 452.068 * [simplify]: Simplified to 0 452.068 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 452.068 * * * * [progress]: [ 785 / 2246 ] simplifiying candidate # 452.068 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 452.068 * * [simplify]: iters left: 6 (20 enodes) 452.073 * * [simplify]: iters left: 5 (73 enodes) 452.085 * * [simplify]: iters left: 4 (142 enodes) 452.111 * * [simplify]: iters left: 3 (309 enodes) 452.200 * * [simplify]: Extracting #0: cost 1 inf + 0 452.201 * * [simplify]: Extracting #1: cost 12 inf + 0 452.201 * * [simplify]: Extracting #2: cost 119 inf + 0 452.201 * * [simplify]: Extracting #3: cost 165 inf + 44 452.202 * * [simplify]: Extracting #4: cost 152 inf + 2091 452.203 * * [simplify]: Extracting #5: cost 123 inf + 7876 452.206 * * [simplify]: Extracting #6: cost 110 inf + 11255 452.212 * * [simplify]: Extracting #7: cost 36 inf + 38780 452.224 * * [simplify]: Extracting #8: cost 0 inf + 53428 452.237 * * [simplify]: Extracting #9: cost 0 inf + 53353 452.249 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 452.249 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))))) 452.249 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1))) 452.249 * * [simplify]: iters left: 6 (17 enodes) 452.254 * * [simplify]: iters left: 5 (62 enodes) 452.263 * * [simplify]: iters left: 4 (117 enodes) 452.285 * * [simplify]: iters left: 3 (259 enodes) 452.353 * * [simplify]: Extracting #0: cost 1 inf + 0 452.353 * * [simplify]: Extracting #1: cost 0 inf + 1 452.353 * [simplify]: Simplified to 0 452.354 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 0))) 452.354 * * * * [progress]: [ 786 / 2246 ] simplifiying candidate # 452.354 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 452.354 * * [simplify]: iters left: 6 (22 enodes) 452.363 * * [simplify]: iters left: 5 (86 enodes) 452.375 * * [simplify]: iters left: 4 (152 enodes) 452.403 * * [simplify]: iters left: 3 (333 enodes) 452.503 * * [simplify]: Extracting #0: cost 1 inf + 0 452.503 * * [simplify]: Extracting #1: cost 12 inf + 0 452.503 * * [simplify]: Extracting #2: cost 114 inf + 0 452.503 * * [simplify]: Extracting #3: cost 168 inf + 44 452.504 * * [simplify]: Extracting #4: cost 154 inf + 2502 452.506 * * [simplify]: Extracting #5: cost 116 inf + 9717 452.511 * * [simplify]: Extracting #6: cost 68 inf + 27173 452.522 * * [simplify]: Extracting #7: cost 6 inf + 51297 452.534 * * [simplify]: Extracting #8: cost 0 inf + 53650 452.548 * * [simplify]: Extracting #9: cost 0 inf + 53579 452.560 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 452.560 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))))) 452.560 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)))) 452.561 * * [simplify]: iters left: 6 (18 enodes) 452.566 * * [simplify]: iters left: 5 (71 enodes) 452.576 * * [simplify]: iters left: 4 (123 enodes) 452.599 * * [simplify]: iters left: 3 (278 enodes) 452.678 * * [simplify]: Extracting #0: cost 1 inf + 0 452.678 * * [simplify]: Extracting #1: cost 0 inf + 1 452.678 * [simplify]: Simplified to 0 452.678 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 452.678 * * * * [progress]: [ 787 / 2246 ] simplifiying candidate # 452.678 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 452.678 * * [simplify]: iters left: 6 (22 enodes) 452.685 * * [simplify]: iters left: 5 (86 enodes) 452.698 * * [simplify]: iters left: 4 (152 enodes) 452.725 * * [simplify]: iters left: 3 (333 enodes) 452.825 * * [simplify]: Extracting #0: cost 1 inf + 0 452.825 * * [simplify]: Extracting #1: cost 12 inf + 0 452.826 * * [simplify]: Extracting #2: cost 114 inf + 0 452.826 * * [simplify]: Extracting #3: cost 168 inf + 44 452.827 * * [simplify]: Extracting #4: cost 154 inf + 2502 452.829 * * [simplify]: Extracting #5: cost 116 inf + 9717 452.834 * * [simplify]: Extracting #6: cost 68 inf + 27173 452.847 * * [simplify]: Extracting #7: cost 6 inf + 51297 452.859 * * [simplify]: Extracting #8: cost 0 inf + 53650 452.871 * * [simplify]: Extracting #9: cost 0 inf + 53579 452.883 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 452.884 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))))) 452.884 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)))) 452.884 * * [simplify]: iters left: 6 (18 enodes) 452.889 * * [simplify]: iters left: 5 (71 enodes) 452.900 * * [simplify]: iters left: 4 (123 enodes) 452.924 * * [simplify]: iters left: 3 (278 enodes) 453.001 * * [simplify]: Extracting #0: cost 1 inf + 0 453.001 * * [simplify]: Extracting #1: cost 0 inf + 1 453.001 * [simplify]: Simplified to 0 453.001 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 453.001 * * * * [progress]: [ 788 / 2246 ] simplifiying candidate # 453.001 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 453.001 * * [simplify]: iters left: 6 (20 enodes) 453.007 * * [simplify]: iters left: 5 (73 enodes) 453.019 * * [simplify]: iters left: 4 (142 enodes) 453.047 * * [simplify]: iters left: 3 (309 enodes) 453.136 * * [simplify]: Extracting #0: cost 1 inf + 0 453.136 * * [simplify]: Extracting #1: cost 12 inf + 0 453.136 * * [simplify]: Extracting #2: cost 119 inf + 0 453.137 * * [simplify]: Extracting #3: cost 165 inf + 44 453.138 * * [simplify]: Extracting #4: cost 152 inf + 2091 453.139 * * [simplify]: Extracting #5: cost 123 inf + 7876 453.141 * * [simplify]: Extracting #6: cost 110 inf + 11255 453.148 * * [simplify]: Extracting #7: cost 36 inf + 38780 453.162 * * [simplify]: Extracting #8: cost 0 inf + 53428 453.173 * * [simplify]: Extracting #9: cost 0 inf + 53353 453.185 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 453.185 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))))) 453.186 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1))) 453.186 * * [simplify]: iters left: 6 (17 enodes) 453.190 * * [simplify]: iters left: 5 (62 enodes) 453.200 * * [simplify]: iters left: 4 (117 enodes) 453.222 * * [simplify]: iters left: 3 (259 enodes) 453.292 * * [simplify]: Extracting #0: cost 1 inf + 0 453.292 * * [simplify]: Extracting #1: cost 0 inf + 1 453.292 * [simplify]: Simplified to 0 453.292 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 0))) 453.292 * * * * [progress]: [ 789 / 2246 ] simplifiying candidate # 453.293 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 453.293 * * [simplify]: iters left: 6 (22 enodes) 453.298 * * [simplify]: iters left: 5 (88 enodes) 453.312 * * [simplify]: iters left: 4 (188 enodes) 453.357 * * [simplify]: Extracting #0: cost 1 inf + 0 453.357 * * [simplify]: Extracting #1: cost 10 inf + 0 453.357 * * [simplify]: Extracting #2: cost 106 inf + 0 453.357 * * [simplify]: Extracting #3: cost 192 inf + 0 453.358 * * [simplify]: Extracting #4: cost 194 inf + 123 453.359 * * [simplify]: Extracting #5: cost 177 inf + 2981 453.360 * * [simplify]: Extracting #6: cost 160 inf + 8602 453.363 * * [simplify]: Extracting #7: cost 133 inf + 19546 453.376 * * [simplify]: Extracting #8: cost 23 inf + 80366 453.393 * * [simplify]: Extracting #9: cost 1 inf + 91842 453.412 * * [simplify]: Extracting #10: cost 0 inf + 91820 453.429 * [simplify]: Simplified to (- (* (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ (* (sqrt 1/2) (sqrt 1/2)) (* (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) 453.430 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ (* (sqrt 1/2) (sqrt 1/2)) (* (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 453.430 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 453.430 * * [simplify]: iters left: 6 (20 enodes) 453.435 * * [simplify]: iters left: 5 (80 enodes) 453.449 * * [simplify]: iters left: 4 (163 enodes) 453.487 * * [simplify]: iters left: 3 (493 enodes) 453.681 * * [simplify]: Extracting #0: cost 1 inf + 0 453.681 * * [simplify]: Extracting #1: cost 0 inf + 1 453.681 * [simplify]: Simplified to 0 453.682 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 453.682 * * * * [progress]: [ 790 / 2246 ] simplifiying candidate # 453.682 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 453.682 * * [simplify]: iters left: 6 (20 enodes) 453.687 * * [simplify]: iters left: 5 (80 enodes) 453.700 * * [simplify]: iters left: 4 (153 enodes) 453.732 * * [simplify]: iters left: 3 (383 enodes) 453.841 * * [simplify]: Extracting #0: cost 1 inf + 0 453.841 * * [simplify]: Extracting #1: cost 13 inf + 0 453.841 * * [simplify]: Extracting #2: cost 109 inf + 0 453.842 * * [simplify]: Extracting #3: cost 203 inf + 1 453.843 * * [simplify]: Extracting #4: cost 203 inf + 206 453.844 * * [simplify]: Extracting #5: cost 184 inf + 4223 453.848 * * [simplify]: Extracting #6: cost 131 inf + 22637 453.863 * * [simplify]: Extracting #7: cost 31 inf + 69342 453.884 * * [simplify]: Extracting #8: cost 0 inf + 85141 453.906 * * [simplify]: Extracting #9: cost 0 inf + 85125 453.928 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) 453.928 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 453.928 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 453.928 * * [simplify]: iters left: 6 (19 enodes) 453.933 * * [simplify]: iters left: 5 (75 enodes) 453.944 * * [simplify]: iters left: 4 (134 enodes) 453.970 * * [simplify]: iters left: 3 (346 enodes) 454.067 * * [simplify]: Extracting #0: cost 1 inf + 0 454.067 * * [simplify]: Extracting #1: cost 0 inf + 1 454.068 * [simplify]: Simplified to 0 454.068 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 454.069 * * * * [progress]: [ 791 / 2246 ] simplifiying candidate # 454.069 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 454.069 * * [simplify]: iters left: 6 (20 enodes) 454.074 * * [simplify]: iters left: 5 (78 enodes) 454.087 * * [simplify]: iters left: 4 (148 enodes) 454.119 * * [simplify]: iters left: 3 (365 enodes) 454.228 * * [simplify]: Extracting #0: cost 1 inf + 0 454.228 * * [simplify]: Extracting #1: cost 10 inf + 0 454.228 * * [simplify]: Extracting #2: cost 89 inf + 0 454.228 * * [simplify]: Extracting #3: cost 167 inf + 2 454.229 * * [simplify]: Extracting #4: cost 166 inf + 329 454.230 * * [simplify]: Extracting #5: cost 163 inf + 648 454.232 * * [simplify]: Extracting #6: cost 126 inf + 9887 454.240 * * [simplify]: Extracting #7: cost 34 inf + 44043 454.254 * * [simplify]: Extracting #8: cost 1 inf + 58068 454.268 * * [simplify]: Extracting #9: cost 0 inf + 58511 454.284 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (fma (cbrt (hypot 1 x)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (hypot 1 x)))))) 454.284 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (fma (cbrt (hypot 1 x)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (hypot 1 x)))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 454.284 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 454.284 * * [simplify]: iters left: 6 (18 enodes) 454.289 * * [simplify]: iters left: 5 (70 enodes) 454.300 * * [simplify]: iters left: 4 (126 enodes) 454.325 * * [simplify]: iters left: 3 (322 enodes) 454.422 * * [simplify]: Extracting #0: cost 1 inf + 0 454.422 * * [simplify]: Extracting #1: cost 0 inf + 1 454.422 * [simplify]: Simplified to 0 454.422 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 454.422 * * * * [progress]: [ 792 / 2246 ] simplifiying candidate # 454.422 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 454.422 * * [simplify]: iters left: 6 (22 enodes) 454.428 * * [simplify]: iters left: 5 (87 enodes) 454.441 * * [simplify]: iters left: 4 (138 enodes) 454.467 * * [simplify]: iters left: 3 (305 enodes) 454.549 * * [simplify]: Extracting #0: cost 1 inf + 0 454.549 * * [simplify]: Extracting #1: cost 14 inf + 0 454.549 * * [simplify]: Extracting #2: cost 96 inf + 0 454.550 * * [simplify]: Extracting #3: cost 161 inf + 1 454.550 * * [simplify]: Extracting #4: cost 164 inf + 125 454.551 * * [simplify]: Extracting #5: cost 160 inf + 507 454.552 * * [simplify]: Extracting #6: cost 131 inf + 7183 454.558 * * [simplify]: Extracting #7: cost 63 inf + 32322 454.569 * * [simplify]: Extracting #8: cost 5 inf + 55666 454.583 * * [simplify]: Extracting #9: cost 0 inf + 57506 454.595 * * [simplify]: Extracting #10: cost 0 inf + 57466 454.608 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (fma (cbrt (hypot 1 x)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (hypot 1 x))))) 454.608 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (fma (cbrt (hypot 1 x)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 454.608 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 454.608 * * [simplify]: iters left: 6 (19 enodes) 454.614 * * [simplify]: iters left: 5 (75 enodes) 454.625 * * [simplify]: iters left: 4 (111 enodes) 454.644 * * [simplify]: iters left: 3 (244 enodes) 454.705 * * [simplify]: Extracting #0: cost 1 inf + 0 454.705 * * [simplify]: Extracting #1: cost 18 inf + 0 454.705 * * [simplify]: Extracting #2: cost 75 inf + 1 454.706 * * [simplify]: Extracting #3: cost 123 inf + 1 454.706 * * [simplify]: Extracting #4: cost 115 inf + 1708 454.708 * * [simplify]: Extracting #5: cost 83 inf + 10385 454.711 * * [simplify]: Extracting #6: cost 78 inf + 11373 454.717 * * [simplify]: Extracting #7: cost 25 inf + 31967 454.727 * * [simplify]: Extracting #8: cost 0 inf + 41997 454.737 * * [simplify]: Extracting #9: cost 0 inf + 41872 454.746 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 454.746 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))))))) 454.747 * * * * [progress]: [ 793 / 2246 ] simplifiying candidate # 454.747 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 454.747 * * [simplify]: iters left: 6 (22 enodes) 454.753 * * [simplify]: iters left: 5 (87 enodes) 454.765 * * [simplify]: iters left: 4 (138 enodes) 454.791 * * [simplify]: iters left: 3 (305 enodes) 454.873 * * [simplify]: Extracting #0: cost 1 inf + 0 454.873 * * [simplify]: Extracting #1: cost 14 inf + 0 454.873 * * [simplify]: Extracting #2: cost 96 inf + 0 454.874 * * [simplify]: Extracting #3: cost 161 inf + 1 454.874 * * [simplify]: Extracting #4: cost 164 inf + 125 454.875 * * [simplify]: Extracting #5: cost 160 inf + 507 454.876 * * [simplify]: Extracting #6: cost 131 inf + 7183 454.882 * * [simplify]: Extracting #7: cost 63 inf + 32322 454.893 * * [simplify]: Extracting #8: cost 5 inf + 55666 454.907 * * [simplify]: Extracting #9: cost 0 inf + 57506 454.919 * * [simplify]: Extracting #10: cost 0 inf + 57466 454.932 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (fma (cbrt (hypot 1 x)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (hypot 1 x))))) 454.932 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (fma (cbrt (hypot 1 x)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 454.932 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 454.933 * * [simplify]: iters left: 6 (19 enodes) 454.938 * * [simplify]: iters left: 5 (75 enodes) 454.949 * * [simplify]: iters left: 4 (111 enodes) 454.968 * * [simplify]: iters left: 3 (244 enodes) 455.029 * * [simplify]: Extracting #0: cost 1 inf + 0 455.029 * * [simplify]: Extracting #1: cost 18 inf + 0 455.029 * * [simplify]: Extracting #2: cost 75 inf + 1 455.030 * * [simplify]: Extracting #3: cost 123 inf + 1 455.030 * * [simplify]: Extracting #4: cost 115 inf + 1708 455.032 * * [simplify]: Extracting #5: cost 83 inf + 10385 455.036 * * [simplify]: Extracting #6: cost 78 inf + 11373 455.041 * * [simplify]: Extracting #7: cost 25 inf + 31967 455.051 * * [simplify]: Extracting #8: cost 0 inf + 41997 455.061 * * [simplify]: Extracting #9: cost 0 inf + 41872 455.070 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 455.070 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))))))) 455.071 * * * * [progress]: [ 794 / 2246 ] simplifiying candidate # 455.071 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 455.071 * * [simplify]: iters left: 6 (20 enodes) 455.076 * * [simplify]: iters left: 5 (78 enodes) 455.088 * * [simplify]: iters left: 4 (148 enodes) 455.119 * * [simplify]: iters left: 3 (365 enodes) 455.227 * * [simplify]: Extracting #0: cost 1 inf + 0 455.227 * * [simplify]: Extracting #1: cost 10 inf + 0 455.228 * * [simplify]: Extracting #2: cost 89 inf + 0 455.228 * * [simplify]: Extracting #3: cost 167 inf + 2 455.229 * * [simplify]: Extracting #4: cost 166 inf + 329 455.229 * * [simplify]: Extracting #5: cost 163 inf + 648 455.231 * * [simplify]: Extracting #6: cost 126 inf + 9887 455.240 * * [simplify]: Extracting #7: cost 34 inf + 44043 455.254 * * [simplify]: Extracting #8: cost 1 inf + 58068 455.268 * * [simplify]: Extracting #9: cost 0 inf + 58511 455.282 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (fma (cbrt (hypot 1 x)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (hypot 1 x)))))) 455.282 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (fma (cbrt (hypot 1 x)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (hypot 1 x)))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 455.282 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 455.282 * * [simplify]: iters left: 6 (18 enodes) 455.287 * * [simplify]: iters left: 5 (70 enodes) 455.300 * * [simplify]: iters left: 4 (126 enodes) 455.325 * * [simplify]: iters left: 3 (322 enodes) 455.423 * * [simplify]: Extracting #0: cost 1 inf + 0 455.424 * * [simplify]: Extracting #1: cost 0 inf + 1 455.424 * [simplify]: Simplified to 0 455.424 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 455.424 * * * * [progress]: [ 795 / 2246 ] simplifiying candidate # 455.424 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 455.424 * * [simplify]: iters left: 6 (20 enodes) 455.429 * * [simplify]: iters left: 5 (80 enodes) 455.442 * * [simplify]: iters left: 4 (162 enodes) 455.472 * * [simplify]: iters left: 3 (387 enodes) 455.577 * * [simplify]: Extracting #0: cost 1 inf + 0 455.577 * * [simplify]: Extracting #1: cost 10 inf + 0 455.577 * * [simplify]: Extracting #2: cost 100 inf + 0 455.578 * * [simplify]: Extracting #3: cost 206 inf + 1 455.579 * * [simplify]: Extracting #4: cost 211 inf + 44 455.579 * * [simplify]: Extracting #5: cost 200 inf + 1470 455.581 * * [simplify]: Extracting #6: cost 187 inf + 4058 455.583 * * [simplify]: Extracting #7: cost 160 inf + 13885 455.602 * * [simplify]: Extracting #8: cost 30 inf + 76113 455.624 * * [simplify]: Extracting #9: cost 1 inf + 90557 455.647 * * [simplify]: Extracting #10: cost 0 inf + 91096 455.670 * * [simplify]: Extracting #11: cost 0 inf + 91057 455.693 * [simplify]: Simplified to (+ (/ (/ -1/2 (* (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 455.693 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ (/ -1/2 (* (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 455.694 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 455.694 * * [simplify]: iters left: 6 (18 enodes) 455.699 * * [simplify]: iters left: 5 (72 enodes) 455.710 * * [simplify]: iters left: 4 (139 enodes) 455.736 * * [simplify]: iters left: 3 (344 enodes) 455.831 * * [simplify]: Extracting #0: cost 1 inf + 0 455.831 * * [simplify]: Extracting #1: cost 0 inf + 1 455.831 * [simplify]: Simplified to 0 455.831 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 455.831 * * * * [progress]: [ 796 / 2246 ] simplifiying candidate # 455.831 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 455.831 * * [simplify]: iters left: 6 (17 enodes) 455.835 * * [simplify]: iters left: 5 (66 enodes) 455.846 * * [simplify]: iters left: 4 (116 enodes) 455.865 * * [simplify]: iters left: 3 (248 enodes) 455.918 * * [simplify]: Extracting #0: cost 1 inf + 0 455.918 * * [simplify]: Extracting #1: cost 16 inf + 0 455.918 * * [simplify]: Extracting #2: cost 79 inf + 0 455.919 * * [simplify]: Extracting #3: cost 134 inf + 1 455.919 * * [simplify]: Extracting #4: cost 136 inf + 44 455.920 * * [simplify]: Extracting #5: cost 133 inf + 305 455.920 * * [simplify]: Extracting #6: cost 117 inf + 3248 455.922 * * [simplify]: Extracting #7: cost 101 inf + 6415 455.928 * * [simplify]: Extracting #8: cost 35 inf + 32489 455.942 * * [simplify]: Extracting #9: cost 0 inf + 48242 455.954 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 455.954 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 455.954 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 455.954 * * [simplify]: iters left: 6 (16 enodes) 455.958 * * [simplify]: iters left: 5 (62 enodes) 455.968 * * [simplify]: iters left: 4 (105 enodes) 455.986 * * [simplify]: iters left: 3 (234 enodes) 456.036 * * [simplify]: Extracting #0: cost 1 inf + 0 456.037 * * [simplify]: Extracting #1: cost 0 inf + 1 456.037 * [simplify]: Simplified to 0 456.037 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 456.037 * * * * [progress]: [ 797 / 2246 ] simplifiying candidate # 456.037 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 456.037 * * [simplify]: iters left: 6 (18 enodes) 456.041 * * [simplify]: iters left: 5 (71 enodes) 456.053 * * [simplify]: iters left: 4 (132 enodes) 456.080 * * [simplify]: iters left: 3 (287 enodes) 456.152 * * [simplify]: Extracting #0: cost 1 inf + 0 456.153 * * [simplify]: Extracting #1: cost 10 inf + 0 456.153 * * [simplify]: Extracting #2: cost 71 inf + 0 456.153 * * [simplify]: Extracting #3: cost 123 inf + 2 456.153 * * [simplify]: Extracting #4: cost 125 inf + 85 456.154 * * [simplify]: Extracting #5: cost 119 inf + 648 456.155 * * [simplify]: Extracting #6: cost 92 inf + 6269 456.161 * * [simplify]: Extracting #7: cost 20 inf + 30730 456.170 * * [simplify]: Extracting #8: cost 0 inf + 37682 456.179 * * [simplify]: Extracting #9: cost 0 inf + 37615 456.188 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (fma (sqrt (hypot 1 x)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (hypot 1 x)))) (sqrt (hypot 1 x)))) 456.188 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (fma (sqrt (hypot 1 x)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (hypot 1 x)))) (sqrt (hypot 1 x)))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))))) 456.189 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1))) 456.189 * * [simplify]: iters left: 6 (16 enodes) 456.454 * * [simplify]: iters left: 5 (63 enodes) 456.464 * * [simplify]: iters left: 4 (113 enodes) 456.485 * * [simplify]: iters left: 3 (256 enodes) 456.550 * * [simplify]: Extracting #0: cost 1 inf + 0 456.551 * * [simplify]: Extracting #1: cost 0 inf + 1 456.551 * [simplify]: Simplified to 0 456.551 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 0))) 456.551 * * * * [progress]: [ 798 / 2246 ] simplifiying candidate # 456.551 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 456.551 * * [simplify]: iters left: 6 (20 enodes) 456.556 * * [simplify]: iters left: 5 (80 enodes) 456.568 * * [simplify]: iters left: 4 (126 enodes) 456.591 * * [simplify]: iters left: 3 (265 enodes) 456.653 * * [simplify]: Extracting #0: cost 1 inf + 0 456.653 * * [simplify]: Extracting #1: cost 10 inf + 0 456.653 * * [simplify]: Extracting #2: cost 71 inf + 0 456.654 * * [simplify]: Extracting #3: cost 118 inf + 1 456.654 * * [simplify]: Extracting #4: cost 119 inf + 327 456.655 * * [simplify]: Extracting #5: cost 115 inf + 685 456.655 * * [simplify]: Extracting #6: cost 98 inf + 4006 456.658 * * [simplify]: Extracting #7: cost 57 inf + 15649 456.665 * * [simplify]: Extracting #8: cost 7 inf + 34614 456.673 * * [simplify]: Extracting #9: cost 0 inf + 37145 456.682 * * [simplify]: Extracting #10: cost 0 inf + 37090 456.690 * * [simplify]: Extracting #11: cost 0 inf + 37050 456.698 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (hypot 1 x))))) 456.698 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))))) 456.699 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)))) 456.699 * * [simplify]: iters left: 6 (17 enodes) 456.704 * * [simplify]: iters left: 5 (68 enodes) 456.716 * * [simplify]: iters left: 4 (101 enodes) 456.732 * * [simplify]: iters left: 3 (206 enodes) 456.778 * * [simplify]: iters left: 2 (407 enodes) 456.886 * * [simplify]: Extracting #0: cost 1 inf + 0 456.886 * * [simplify]: Extracting #1: cost 0 inf + 1 456.886 * [simplify]: Simplified to 0 456.887 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 456.887 * * * * [progress]: [ 799 / 2246 ] simplifiying candidate # 456.887 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 456.887 * * [simplify]: iters left: 6 (20 enodes) 456.892 * * [simplify]: iters left: 5 (80 enodes) 456.903 * * [simplify]: iters left: 4 (126 enodes) 456.925 * * [simplify]: iters left: 3 (265 enodes) 456.987 * * [simplify]: Extracting #0: cost 1 inf + 0 456.987 * * [simplify]: Extracting #1: cost 10 inf + 0 456.987 * * [simplify]: Extracting #2: cost 71 inf + 0 456.988 * * [simplify]: Extracting #3: cost 118 inf + 1 456.988 * * [simplify]: Extracting #4: cost 119 inf + 327 456.988 * * [simplify]: Extracting #5: cost 115 inf + 685 456.989 * * [simplify]: Extracting #6: cost 98 inf + 4006 456.992 * * [simplify]: Extracting #7: cost 57 inf + 15649 456.999 * * [simplify]: Extracting #8: cost 7 inf + 34614 457.007 * * [simplify]: Extracting #9: cost 0 inf + 37145 457.017 * * [simplify]: Extracting #10: cost 0 inf + 37090 457.025 * * [simplify]: Extracting #11: cost 0 inf + 37050 457.033 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (hypot 1 x))))) 457.034 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))))) 457.034 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)))) 457.034 * * [simplify]: iters left: 6 (17 enodes) 457.039 * * [simplify]: iters left: 5 (68 enodes) 457.049 * * [simplify]: iters left: 4 (101 enodes) 457.066 * * [simplify]: iters left: 3 (206 enodes) 457.111 * * [simplify]: iters left: 2 (407 enodes) 457.220 * * [simplify]: Extracting #0: cost 1 inf + 0 457.220 * * [simplify]: Extracting #1: cost 0 inf + 1 457.220 * [simplify]: Simplified to 0 457.220 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 457.221 * * * * [progress]: [ 800 / 2246 ] simplifiying candidate # 457.221 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 457.221 * * [simplify]: iters left: 6 (18 enodes) 457.225 * * [simplify]: iters left: 5 (71 enodes) 457.236 * * [simplify]: iters left: 4 (132 enodes) 457.265 * * [simplify]: iters left: 3 (287 enodes) 457.337 * * [simplify]: Extracting #0: cost 1 inf + 0 457.337 * * [simplify]: Extracting #1: cost 10 inf + 0 457.337 * * [simplify]: Extracting #2: cost 71 inf + 0 457.337 * * [simplify]: Extracting #3: cost 123 inf + 2 457.338 * * [simplify]: Extracting #4: cost 125 inf + 85 457.338 * * [simplify]: Extracting #5: cost 119 inf + 648 457.340 * * [simplify]: Extracting #6: cost 92 inf + 6269 457.345 * * [simplify]: Extracting #7: cost 20 inf + 30730 457.355 * * [simplify]: Extracting #8: cost 0 inf + 37682 457.364 * * [simplify]: Extracting #9: cost 0 inf + 37615 457.373 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (fma (sqrt (hypot 1 x)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (hypot 1 x)))) (sqrt (hypot 1 x)))) 457.373 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (fma (sqrt (hypot 1 x)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (hypot 1 x)))) (sqrt (hypot 1 x)))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))))) 457.373 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1))) 457.374 * * [simplify]: iters left: 6 (16 enodes) 457.378 * * [simplify]: iters left: 5 (63 enodes) 457.389 * * [simplify]: iters left: 4 (113 enodes) 457.411 * * [simplify]: iters left: 3 (256 enodes) 457.476 * * [simplify]: Extracting #0: cost 1 inf + 0 457.476 * * [simplify]: Extracting #1: cost 0 inf + 1 457.476 * [simplify]: Simplified to 0 457.476 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 0))) 457.476 * * * * [progress]: [ 801 / 2246 ] simplifiying candidate # 457.476 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 457.476 * * [simplify]: iters left: 6 (20 enodes) 457.481 * * [simplify]: iters left: 5 (79 enodes) 457.494 * * [simplify]: iters left: 4 (157 enodes) 457.527 * * [simplify]: iters left: 3 (360 enodes) 457.632 * * [simplify]: Extracting #0: cost 1 inf + 0 457.632 * * [simplify]: Extracting #1: cost 10 inf + 0 457.632 * * [simplify]: Extracting #2: cost 88 inf + 0 457.633 * * [simplify]: Extracting #3: cost 149 inf + 2 457.633 * * [simplify]: Extracting #4: cost 141 inf + 623 457.634 * * [simplify]: Extracting #5: cost 132 inf + 2027 457.635 * * [simplify]: Extracting #6: cost 127 inf + 3215 457.640 * * [simplify]: Extracting #7: cost 72 inf + 24733 457.654 * * [simplify]: Extracting #8: cost 5 inf + 54697 457.671 * * [simplify]: Extracting #9: cost 0 inf + 57027 457.688 * [simplify]: Simplified to (- (/ 1/2 (* (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) 457.688 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (* (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 457.688 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 457.689 * * [simplify]: iters left: 6 (18 enodes) 457.693 * * [simplify]: iters left: 5 (71 enodes) 457.706 * * [simplify]: iters left: 4 (135 enodes) 457.733 * * [simplify]: iters left: 3 (317 enodes) 457.825 * * [simplify]: Extracting #0: cost 1 inf + 0 457.825 * * [simplify]: Extracting #1: cost 0 inf + 1 457.825 * [simplify]: Simplified to 0 457.825 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 457.825 * * * * [progress]: [ 802 / 2246 ] simplifiying candidate # 457.826 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 457.826 * * [simplify]: iters left: 6 (18 enodes) 457.830 * * [simplify]: iters left: 5 (69 enodes) 457.841 * * [simplify]: iters left: 4 (129 enodes) 457.865 * * [simplify]: iters left: 3 (265 enodes) 457.928 * * [simplify]: iters left: 2 (477 enodes) 458.048 * * [simplify]: Extracting #0: cost 1 inf + 0 458.048 * * [simplify]: Extracting #1: cost 36 inf + 0 458.048 * * [simplify]: Extracting #2: cost 90 inf + 1 458.049 * * [simplify]: Extracting #3: cost 122 inf + 3 458.049 * * [simplify]: Extracting #4: cost 117 inf + 444 458.050 * * [simplify]: Extracting #5: cost 92 inf + 4950 458.055 * * [simplify]: Extracting #6: cost 29 inf + 24620 458.066 * * [simplify]: Extracting #7: cost 3 inf + 35124 458.078 * * [simplify]: Extracting #8: cost 0 inf + 36578 458.089 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 458.089 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 458.090 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 458.090 * * [simplify]: iters left: 6 (17 enodes) 458.094 * * [simplify]: iters left: 5 (66 enodes) 458.106 * * [simplify]: iters left: 4 (111 enodes) 458.127 * * [simplify]: iters left: 3 (224 enodes) 458.176 * * [simplify]: iters left: 2 (415 enodes) 458.273 * * [simplify]: Extracting #0: cost 1 inf + 0 458.273 * * [simplify]: Extracting #1: cost 0 inf + 1 458.273 * [simplify]: Simplified to 0 458.273 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 458.273 * * * * [progress]: [ 803 / 2246 ] simplifiying candidate # 458.273 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 458.273 * * [simplify]: iters left: 6 (18 enodes) 458.278 * * [simplify]: iters left: 5 (65 enodes) 458.288 * * [simplify]: iters left: 4 (119 enodes) 458.307 * * [simplify]: iters left: 3 (205 enodes) 458.347 * * [simplify]: iters left: 2 (367 enodes) 458.429 * * [simplify]: iters left: 1 (492 enodes) 458.569 * * [simplify]: Extracting #0: cost 1 inf + 0 458.569 * * [simplify]: Extracting #1: cost 18 inf + 0 458.569 * * [simplify]: Extracting #2: cost 70 inf + 1 458.569 * * [simplify]: Extracting #3: cost 106 inf + 3 458.570 * * [simplify]: Extracting #4: cost 107 inf + 419 458.571 * * [simplify]: Extracting #5: cost 87 inf + 3754 458.576 * * [simplify]: Extracting #6: cost 16 inf + 26646 458.586 * * [simplify]: Extracting #7: cost 0 inf + 31890 458.595 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 458.595 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))))) 458.595 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1))) 458.595 * * [simplify]: iters left: 6 (16 enodes) 458.599 * * [simplify]: iters left: 5 (58 enodes) 458.608 * * [simplify]: iters left: 4 (106 enodes) 458.627 * * [simplify]: iters left: 3 (186 enodes) 458.664 * * [simplify]: iters left: 2 (342 enodes) 458.736 * * [simplify]: iters left: 1 (486 enodes) 458.832 * * [simplify]: Extracting #0: cost 1 inf + 0 458.832 * * [simplify]: Extracting #1: cost 0 inf + 1 458.832 * [simplify]: Simplified to 0 458.833 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 458.833 * * * * [progress]: [ 804 / 2246 ] simplifiying candidate # 458.833 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 458.833 * * [simplify]: iters left: 6 (20 enodes) 458.841 * * [simplify]: iters left: 5 (78 enodes) 458.851 * * [simplify]: iters left: 4 (131 enodes) 458.872 * * [simplify]: iters left: 3 (220 enodes) 458.912 * * [simplify]: iters left: 2 (376 enodes) 458.992 * * [simplify]: iters left: 1 (486 enodes) 459.128 * * [simplify]: Extracting #0: cost 1 inf + 0 459.128 * * [simplify]: Extracting #1: cost 18 inf + 0 459.129 * * [simplify]: Extracting #2: cost 70 inf + 1 459.130 * * [simplify]: Extracting #3: cost 104 inf + 44 459.130 * * [simplify]: Extracting #4: cost 98 inf + 1298 459.131 * * [simplify]: Extracting #5: cost 87 inf + 3433 459.135 * * [simplify]: Extracting #6: cost 49 inf + 14200 459.144 * * [simplify]: Extracting #7: cost 2 inf + 31134 459.153 * * [simplify]: Extracting #8: cost 0 inf + 31810 459.162 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 459.162 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))))) 459.162 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1)))) 459.162 * * [simplify]: iters left: 6 (17 enodes) 459.168 * * [simplify]: iters left: 5 (66 enodes) 459.177 * * [simplify]: iters left: 4 (101 enodes) 459.194 * * [simplify]: iters left: 3 (170 enodes) 459.222 * * [simplify]: iters left: 2 (266 enodes) 459.272 * * [simplify]: iters left: 1 (380 enodes) 459.352 * * [simplify]: Extracting #0: cost 1 inf + 0 459.352 * * [simplify]: Extracting #1: cost 0 inf + 1 459.352 * [simplify]: Simplified to 0 459.352 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 459.352 * * * * [progress]: [ 805 / 2246 ] simplifiying candidate # 459.353 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 459.353 * * [simplify]: iters left: 6 (20 enodes) 459.359 * * [simplify]: iters left: 5 (78 enodes) 459.371 * * [simplify]: iters left: 4 (131 enodes) 459.391 * * [simplify]: iters left: 3 (220 enodes) 459.432 * * [simplify]: iters left: 2 (376 enodes) 459.512 * * [simplify]: iters left: 1 (486 enodes) 459.649 * * [simplify]: Extracting #0: cost 1 inf + 0 459.649 * * [simplify]: Extracting #1: cost 18 inf + 0 459.649 * * [simplify]: Extracting #2: cost 70 inf + 1 459.649 * * [simplify]: Extracting #3: cost 104 inf + 44 459.650 * * [simplify]: Extracting #4: cost 98 inf + 1298 459.651 * * [simplify]: Extracting #5: cost 87 inf + 3433 459.655 * * [simplify]: Extracting #6: cost 49 inf + 14200 459.664 * * [simplify]: Extracting #7: cost 2 inf + 31134 459.673 * * [simplify]: Extracting #8: cost 0 inf + 31810 459.682 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 459.682 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))))) 459.682 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1)))) 459.683 * * [simplify]: iters left: 6 (17 enodes) 459.688 * * [simplify]: iters left: 5 (66 enodes) 459.698 * * [simplify]: iters left: 4 (101 enodes) 459.715 * * [simplify]: iters left: 3 (170 enodes) 459.742 * * [simplify]: iters left: 2 (266 enodes) 459.792 * * [simplify]: iters left: 1 (380 enodes) 459.873 * * [simplify]: Extracting #0: cost 1 inf + 0 459.873 * * [simplify]: Extracting #1: cost 0 inf + 1 459.873 * [simplify]: Simplified to 0 459.873 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 459.874 * * * * [progress]: [ 806 / 2246 ] simplifiying candidate # 459.874 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 459.874 * * [simplify]: iters left: 6 (18 enodes) 459.878 * * [simplify]: iters left: 5 (65 enodes) 459.890 * * [simplify]: iters left: 4 (119 enodes) 459.910 * * [simplify]: iters left: 3 (205 enodes) 459.948 * * [simplify]: iters left: 2 (367 enodes) 460.031 * * [simplify]: iters left: 1 (492 enodes) 460.173 * * [simplify]: Extracting #0: cost 1 inf + 0 460.173 * * [simplify]: Extracting #1: cost 18 inf + 0 460.173 * * [simplify]: Extracting #2: cost 70 inf + 1 460.174 * * [simplify]: Extracting #3: cost 106 inf + 3 460.174 * * [simplify]: Extracting #4: cost 107 inf + 419 460.175 * * [simplify]: Extracting #5: cost 87 inf + 3754 460.181 * * [simplify]: Extracting #6: cost 16 inf + 26646 460.191 * * [simplify]: Extracting #7: cost 0 inf + 31890 460.200 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 460.200 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))))) 460.200 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1))) 460.201 * * [simplify]: iters left: 6 (16 enodes) 460.205 * * [simplify]: iters left: 5 (58 enodes) 460.214 * * [simplify]: iters left: 4 (106 enodes) 460.231 * * [simplify]: iters left: 3 (186 enodes) 460.271 * * [simplify]: iters left: 2 (342 enodes) 460.343 * * [simplify]: iters left: 1 (486 enodes) 460.442 * * [simplify]: Extracting #0: cost 1 inf + 0 460.442 * * [simplify]: Extracting #1: cost 0 inf + 1 460.443 * [simplify]: Simplified to 0 460.443 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 460.443 * * * * [progress]: [ 807 / 2246 ] simplifiying candidate # 460.443 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 460.443 * * [simplify]: iters left: 6 (22 enodes) 460.448 * * [simplify]: iters left: 5 (89 enodes) 460.465 * * [simplify]: iters left: 4 (194 enodes) 460.508 * * [simplify]: Extracting #0: cost 1 inf + 0 460.508 * * [simplify]: Extracting #1: cost 10 inf + 0 460.508 * * [simplify]: Extracting #2: cost 102 inf + 0 460.508 * * [simplify]: Extracting #3: cost 174 inf + 45 460.509 * * [simplify]: Extracting #4: cost 176 inf + 167 460.509 * * [simplify]: Extracting #5: cost 176 inf + 225 460.510 * * [simplify]: Extracting #6: cost 170 inf + 1564 460.512 * * [simplify]: Extracting #7: cost 127 inf + 14029 460.524 * * [simplify]: Extracting #8: cost 20 inf + 66337 460.541 * * [simplify]: Extracting #9: cost 0 inf + 75939 460.557 * [simplify]: Simplified to (- (* (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) 460.557 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (/ (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 460.557 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 460.557 * * [simplify]: iters left: 6 (19 enodes) 460.562 * * [simplify]: iters left: 5 (78 enodes) 460.575 * * [simplify]: iters left: 4 (164 enodes) 460.614 * * [simplify]: iters left: 3 (469 enodes) 460.867 * * [simplify]: Extracting #0: cost 1 inf + 0 460.867 * * [simplify]: Extracting #1: cost 0 inf + 1 460.867 * [simplify]: Simplified to 0 460.867 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 460.867 * * * * [progress]: [ 808 / 2246 ] simplifiying candidate # 460.867 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 460.867 * * [simplify]: iters left: 6 (20 enodes) 460.872 * * [simplify]: iters left: 5 (81 enodes) 460.886 * * [simplify]: iters left: 4 (161 enodes) 460.921 * * [simplify]: iters left: 3 (390 enodes) 461.070 * * [simplify]: Extracting #0: cost 1 inf + 0 461.070 * * [simplify]: Extracting #1: cost 10 inf + 0 461.070 * * [simplify]: Extracting #2: cost 131 inf + 0 461.071 * * [simplify]: Extracting #3: cost 239 inf + 45 461.075 * * [simplify]: Extracting #4: cost 242 inf + 86 461.076 * * [simplify]: Extracting #5: cost 230 inf + 2352 461.081 * * [simplify]: Extracting #6: cost 151 inf + 28138 461.102 * * [simplify]: Extracting #7: cost 11 inf + 88648 461.125 * * [simplify]: Extracting #8: cost 0 inf + 93315 461.149 * * [simplify]: Extracting #9: cost 0 inf + 93299 461.174 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ 1/2 (* (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))))) 461.174 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ 1/2 (* (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 461.174 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 461.175 * * [simplify]: iters left: 6 (18 enodes) 461.179 * * [simplify]: iters left: 5 (73 enodes) 461.191 * * [simplify]: iters left: 4 (136 enodes) 461.218 * * [simplify]: iters left: 3 (336 enodes) 461.349 * * [simplify]: Extracting #0: cost 1 inf + 0 461.349 * * [simplify]: Extracting #1: cost 0 inf + 1 461.349 * [simplify]: Simplified to 0 461.349 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 461.350 * * * * [progress]: [ 809 / 2246 ] simplifiying candidate # 461.350 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 461.350 * * [simplify]: iters left: 6 (20 enodes) 461.355 * * [simplify]: iters left: 5 (79 enodes) 461.368 * * [simplify]: iters left: 4 (155 enodes) 461.403 * * [simplify]: iters left: 3 (347 enodes) 461.522 * * [simplify]: Extracting #0: cost 1 inf + 0 461.522 * * [simplify]: Extracting #1: cost 10 inf + 0 461.522 * * [simplify]: Extracting #2: cost 100 inf + 0 461.523 * * [simplify]: Extracting #3: cost 154 inf + 45 461.523 * * [simplify]: Extracting #4: cost 157 inf + 87 461.524 * * [simplify]: Extracting #5: cost 157 inf + 145 461.525 * * [simplify]: Extracting #6: cost 126 inf + 6427 461.528 * * [simplify]: Extracting #7: cost 96 inf + 13520 461.535 * * [simplify]: Extracting #8: cost 30 inf + 37519 461.547 * * [simplify]: Extracting #9: cost 0 inf + 49218 461.559 * * [simplify]: Extracting #10: cost 0 inf + 49068 461.571 * [simplify]: Simplified to (+ (/ (/ -1/2 (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 461.571 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ (/ -1/2 (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 461.572 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 461.572 * * [simplify]: iters left: 6 (17 enodes) 461.576 * * [simplify]: iters left: 5 (68 enodes) 461.590 * * [simplify]: iters left: 4 (127 enodes) 461.616 * * [simplify]: iters left: 3 (292 enodes) 461.720 * * [simplify]: Extracting #0: cost 1 inf + 0 461.720 * * [simplify]: Extracting #1: cost 0 inf + 1 461.720 * [simplify]: Simplified to 0 461.720 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 461.721 * * * * [progress]: [ 810 / 2246 ] simplifiying candidate # 461.721 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 461.721 * * [simplify]: iters left: 6 (22 enodes) 461.727 * * [simplify]: iters left: 5 (88 enodes) 461.740 * * [simplify]: iters left: 4 (142 enodes) 461.769 * * [simplify]: iters left: 3 (303 enodes) 461.858 * * [simplify]: Extracting #0: cost 1 inf + 0 461.858 * * [simplify]: Extracting #1: cost 14 inf + 0 461.858 * * [simplify]: Extracting #2: cost 94 inf + 0 461.859 * * [simplify]: Extracting #3: cost 151 inf + 45 461.859 * * [simplify]: Extracting #4: cost 154 inf + 87 461.860 * * [simplify]: Extracting #5: cost 154 inf + 145 461.860 * * [simplify]: Extracting #6: cost 134 inf + 3914 461.864 * * [simplify]: Extracting #7: cost 58 inf + 26293 461.874 * * [simplify]: Extracting #8: cost 3 inf + 46801 461.886 * * [simplify]: Extracting #9: cost 0 inf + 47922 461.897 * * [simplify]: Extracting #10: cost 0 inf + 47906 461.907 * * [simplify]: Extracting #11: cost 0 inf + 47890 461.918 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (hypot 1 x)))))) 461.918 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (hypot 1 x)))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 461.918 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 461.918 * * [simplify]: iters left: 6 (18 enodes) 461.923 * * [simplify]: iters left: 5 (73 enodes) 461.935 * * [simplify]: iters left: 4 (112 enodes) 461.955 * * [simplify]: iters left: 3 (236 enodes) 462.024 * * [simplify]: Extracting #0: cost 1 inf + 0 462.024 * * [simplify]: Extracting #1: cost 20 inf + 0 462.025 * * [simplify]: Extracting #2: cost 95 inf + 1 462.025 * * [simplify]: Extracting #3: cost 118 inf + 4 462.025 * * [simplify]: Extracting #4: cost 111 inf + 1145 462.027 * * [simplify]: Extracting #5: cost 86 inf + 6974 462.028 * * [simplify]: Extracting #6: cost 75 inf + 9748 462.030 * * [simplify]: Extracting #7: cost 70 inf + 10597 462.035 * * [simplify]: Extracting #8: cost 17 inf + 29887 462.044 * * [simplify]: Extracting #9: cost 0 inf + 36382 462.053 * * [simplify]: Extracting #10: cost 0 inf + 36332 462.061 * [simplify]: Simplified to (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 462.061 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) 462.062 * * * * [progress]: [ 811 / 2246 ] simplifiying candidate # 462.062 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 462.062 * * [simplify]: iters left: 6 (22 enodes) 462.068 * * [simplify]: iters left: 5 (88 enodes) 462.081 * * [simplify]: iters left: 4 (142 enodes) 462.107 * * [simplify]: iters left: 3 (303 enodes) 462.196 * * [simplify]: Extracting #0: cost 1 inf + 0 462.196 * * [simplify]: Extracting #1: cost 14 inf + 0 462.196 * * [simplify]: Extracting #2: cost 94 inf + 0 462.197 * * [simplify]: Extracting #3: cost 151 inf + 45 462.199 * * [simplify]: Extracting #4: cost 154 inf + 87 462.200 * * [simplify]: Extracting #5: cost 154 inf + 145 462.200 * * [simplify]: Extracting #6: cost 134 inf + 3914 462.205 * * [simplify]: Extracting #7: cost 58 inf + 26293 462.214 * * [simplify]: Extracting #8: cost 3 inf + 46801 462.225 * * [simplify]: Extracting #9: cost 0 inf + 47922 462.235 * * [simplify]: Extracting #10: cost 0 inf + 47906 462.246 * * [simplify]: Extracting #11: cost 0 inf + 47890 462.256 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (hypot 1 x)))))) 462.256 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (hypot 1 x)))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 462.257 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 462.257 * * [simplify]: iters left: 6 (18 enodes) 462.262 * * [simplify]: iters left: 5 (73 enodes) 462.273 * * [simplify]: iters left: 4 (112 enodes) 462.293 * * [simplify]: iters left: 3 (236 enodes) 462.362 * * [simplify]: Extracting #0: cost 1 inf + 0 462.362 * * [simplify]: Extracting #1: cost 20 inf + 0 462.363 * * [simplify]: Extracting #2: cost 95 inf + 1 462.363 * * [simplify]: Extracting #3: cost 118 inf + 4 462.364 * * [simplify]: Extracting #4: cost 111 inf + 1145 462.365 * * [simplify]: Extracting #5: cost 86 inf + 6974 462.366 * * [simplify]: Extracting #6: cost 75 inf + 9748 462.368 * * [simplify]: Extracting #7: cost 70 inf + 10597 462.374 * * [simplify]: Extracting #8: cost 17 inf + 29887 462.382 * * [simplify]: Extracting #9: cost 0 inf + 36382 462.391 * * [simplify]: Extracting #10: cost 0 inf + 36332 462.400 * [simplify]: Simplified to (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 462.400 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) 462.400 * * * * [progress]: [ 812 / 2246 ] simplifiying candidate # 462.400 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 462.400 * * [simplify]: iters left: 6 (20 enodes) 462.407 * * [simplify]: iters left: 5 (79 enodes) 462.420 * * [simplify]: iters left: 4 (155 enodes) 462.452 * * [simplify]: iters left: 3 (347 enodes) 462.569 * * [simplify]: Extracting #0: cost 1 inf + 0 462.569 * * [simplify]: Extracting #1: cost 10 inf + 0 462.569 * * [simplify]: Extracting #2: cost 100 inf + 0 462.570 * * [simplify]: Extracting #3: cost 154 inf + 45 462.570 * * [simplify]: Extracting #4: cost 157 inf + 87 462.571 * * [simplify]: Extracting #5: cost 157 inf + 145 462.574 * * [simplify]: Extracting #6: cost 126 inf + 6427 462.577 * * [simplify]: Extracting #7: cost 96 inf + 13520 462.585 * * [simplify]: Extracting #8: cost 30 inf + 37519 462.596 * * [simplify]: Extracting #9: cost 0 inf + 49218 462.608 * * [simplify]: Extracting #10: cost 0 inf + 49068 462.620 * [simplify]: Simplified to (+ (/ (/ -1/2 (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 462.620 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ (/ -1/2 (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 462.621 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 462.621 * * [simplify]: iters left: 6 (17 enodes) 462.625 * * [simplify]: iters left: 5 (68 enodes) 462.637 * * [simplify]: iters left: 4 (127 enodes) 462.664 * * [simplify]: iters left: 3 (292 enodes) 462.767 * * [simplify]: Extracting #0: cost 1 inf + 0 462.767 * * [simplify]: Extracting #1: cost 0 inf + 1 462.767 * [simplify]: Simplified to 0 462.767 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 462.767 * * * * [progress]: [ 813 / 2246 ] simplifiying candidate # 462.767 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 462.767 * * [simplify]: iters left: 6 (21 enodes) 462.772 * * [simplify]: iters left: 5 (84 enodes) 462.786 * * [simplify]: iters left: 4 (179 enodes) 462.825 * * [simplify]: iters left: 3 (425 enodes) 462.988 * * [simplify]: Extracting #0: cost 1 inf + 0 462.988 * * [simplify]: Extracting #1: cost 10 inf + 0 462.988 * * [simplify]: Extracting #2: cost 147 inf + 0 462.989 * * [simplify]: Extracting #3: cost 280 inf + 45 462.990 * * [simplify]: Extracting #4: cost 282 inf + 87 462.991 * * [simplify]: Extracting #5: cost 273 inf + 1302 462.993 * * [simplify]: Extracting #6: cost 258 inf + 4121 462.996 * * [simplify]: Extracting #7: cost 230 inf + 13765 463.018 * * [simplify]: Extracting #8: cost 57 inf + 91939 463.048 * * [simplify]: Extracting #9: cost 0 inf + 118910 463.082 * * [simplify]: Extracting #10: cost 0 inf + 118830 463.113 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))))) 463.113 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 463.113 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 463.113 * * [simplify]: iters left: 6 (18 enodes) 463.118 * * [simplify]: iters left: 5 (73 enodes) 463.130 * * [simplify]: iters left: 4 (149 enodes) 463.163 * * [simplify]: iters left: 3 (359 enodes) 463.311 * * [simplify]: Extracting #0: cost 1 inf + 0 463.311 * * [simplify]: Extracting #1: cost 0 inf + 1 463.311 * [simplify]: Simplified to 0 463.311 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 463.311 * * * * [progress]: [ 814 / 2246 ] simplifiying candidate # 463.311 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 463.311 * * [simplify]: iters left: 6 (19 enodes) 463.316 * * [simplify]: iters left: 5 (75 enodes) 463.328 * * [simplify]: iters left: 4 (146 enodes) 463.356 * * [simplify]: iters left: 3 (312 enodes) 463.459 * * [simplify]: Extracting #0: cost 1 inf + 0 463.459 * * [simplify]: Extracting #1: cost 10 inf + 0 463.459 * * [simplify]: Extracting #2: cost 115 inf + 0 463.460 * * [simplify]: Extracting #3: cost 183 inf + 45 463.461 * * [simplify]: Extracting #4: cost 186 inf + 86 463.461 * * [simplify]: Extracting #5: cost 176 inf + 1559 463.464 * * [simplify]: Extracting #6: cost 133 inf + 12949 463.479 * * [simplify]: Extracting #7: cost 22 inf + 55073 463.496 * * [simplify]: Extracting #8: cost 0 inf + 63684 463.514 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ 1/2 (* (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (* (sqrt (hypot 1 x)) (sqrt (hypot 1 x)))))) 463.514 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ 1/2 (* (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (* (sqrt (hypot 1 x)) (sqrt (hypot 1 x)))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 463.514 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 463.514 * * [simplify]: iters left: 6 (17 enodes) 463.518 * * [simplify]: iters left: 5 (67 enodes) 463.529 * * [simplify]: iters left: 4 (121 enodes) 463.553 * * [simplify]: iters left: 3 (261 enodes) 463.641 * * [simplify]: Extracting #0: cost 1 inf + 0 463.641 * * [simplify]: Extracting #1: cost 0 inf + 1 463.641 * [simplify]: Simplified to 0 463.641 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 463.641 * * * * [progress]: [ 815 / 2246 ] simplifiying candidate # 463.642 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 463.642 * * [simplify]: iters left: 6 (19 enodes) 463.646 * * [simplify]: iters left: 5 (74 enodes) 463.659 * * [simplify]: iters left: 4 (135 enodes) 463.687 * * [simplify]: iters left: 3 (270 enodes) 463.770 * * [simplify]: Extracting #0: cost 1 inf + 0 463.770 * * [simplify]: Extracting #1: cost 10 inf + 0 463.770 * * [simplify]: Extracting #2: cost 89 inf + 0 463.770 * * [simplify]: Extracting #3: cost 121 inf + 45 463.771 * * [simplify]: Extracting #4: cost 124 inf + 87 463.771 * * [simplify]: Extracting #5: cost 124 inf + 145 463.772 * * [simplify]: Extracting #6: cost 104 inf + 3637 463.777 * * [simplify]: Extracting #7: cost 24 inf + 26429 463.786 * * [simplify]: Extracting #8: cost 0 inf + 34620 463.795 * * [simplify]: Extracting #9: cost 0 inf + 34580 463.805 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (hypot 1 x))))) 463.805 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))))) 463.806 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1))) 463.806 * * [simplify]: iters left: 6 (16 enodes) 463.810 * * [simplify]: iters left: 5 (63 enodes) 463.820 * * [simplify]: iters left: 4 (109 enodes) 463.843 * * [simplify]: iters left: 3 (230 enodes) 463.915 * * [simplify]: Extracting #0: cost 1 inf + 0 463.915 * * [simplify]: Extracting #1: cost 0 inf + 1 463.915 * [simplify]: Simplified to 0 463.915 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 0))) 463.915 * * * * [progress]: [ 816 / 2246 ] simplifiying candidate # 463.915 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 463.916 * * [simplify]: iters left: 6 (21 enodes) 463.923 * * [simplify]: iters left: 5 (83 enodes) 463.936 * * [simplify]: iters left: 4 (131 enodes) 463.959 * * [simplify]: iters left: 3 (281 enodes) 464.027 * * [simplify]: Extracting #0: cost 1 inf + 0 464.027 * * [simplify]: Extracting #1: cost 10 inf + 0 464.027 * * [simplify]: Extracting #2: cost 75 inf + 0 464.028 * * [simplify]: Extracting #3: cost 114 inf + 45 464.028 * * [simplify]: Extracting #4: cost 117 inf + 87 464.028 * * [simplify]: Extracting #5: cost 117 inf + 145 464.029 * * [simplify]: Extracting #6: cost 97 inf + 3738 464.033 * * [simplify]: Extracting #7: cost 33 inf + 20379 464.040 * * [simplify]: Extracting #8: cost 5 inf + 29772 464.049 * * [simplify]: Extracting #9: cost 0 inf + 31637 464.057 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ 1/2 (* (fma (sqrt (hypot 1 x)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) 464.057 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ 1/2 (* (fma (sqrt (hypot 1 x)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))))) 464.057 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)))) 464.058 * * [simplify]: iters left: 6 (17 enodes) 464.062 * * [simplify]: iters left: 5 (68 enodes) 464.073 * * [simplify]: iters left: 4 (102 enodes) 464.090 * * [simplify]: iters left: 3 (202 enodes) 464.141 * * [simplify]: iters left: 2 (433 enodes) 464.315 * * [simplify]: Extracting #0: cost 1 inf + 0 464.315 * * [simplify]: Extracting #1: cost 0 inf + 1 464.315 * [simplify]: Simplified to 0 464.315 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 464.315 * * * * [progress]: [ 817 / 2246 ] simplifiying candidate # 464.315 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 464.316 * * [simplify]: iters left: 6 (21 enodes) 464.321 * * [simplify]: iters left: 5 (83 enodes) 464.335 * * [simplify]: iters left: 4 (131 enodes) 464.359 * * [simplify]: iters left: 3 (281 enodes) 464.428 * * [simplify]: Extracting #0: cost 1 inf + 0 464.428 * * [simplify]: Extracting #1: cost 10 inf + 0 464.428 * * [simplify]: Extracting #2: cost 75 inf + 0 464.428 * * [simplify]: Extracting #3: cost 114 inf + 45 464.429 * * [simplify]: Extracting #4: cost 117 inf + 87 464.429 * * [simplify]: Extracting #5: cost 117 inf + 145 464.430 * * [simplify]: Extracting #6: cost 97 inf + 3738 464.434 * * [simplify]: Extracting #7: cost 33 inf + 20379 464.441 * * [simplify]: Extracting #8: cost 5 inf + 29772 464.449 * * [simplify]: Extracting #9: cost 0 inf + 31637 464.458 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ 1/2 (* (fma (sqrt (hypot 1 x)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) 464.458 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ 1/2 (* (fma (sqrt (hypot 1 x)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))))) 464.458 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)))) 464.458 * * [simplify]: iters left: 6 (17 enodes) 464.463 * * [simplify]: iters left: 5 (68 enodes) 464.474 * * [simplify]: iters left: 4 (102 enodes) 464.491 * * [simplify]: iters left: 3 (202 enodes) 464.542 * * [simplify]: iters left: 2 (433 enodes) 464.716 * * [simplify]: Extracting #0: cost 1 inf + 0 464.716 * * [simplify]: Extracting #1: cost 0 inf + 1 464.716 * [simplify]: Simplified to 0 464.716 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 464.716 * * * * [progress]: [ 818 / 2246 ] simplifiying candidate # 464.716 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 464.716 * * [simplify]: iters left: 6 (19 enodes) 464.721 * * [simplify]: iters left: 5 (74 enodes) 464.735 * * [simplify]: iters left: 4 (135 enodes) 464.761 * * [simplify]: iters left: 3 (270 enodes) 464.842 * * [simplify]: Extracting #0: cost 1 inf + 0 464.842 * * [simplify]: Extracting #1: cost 10 inf + 0 464.842 * * [simplify]: Extracting #2: cost 89 inf + 0 464.842 * * [simplify]: Extracting #3: cost 121 inf + 45 464.843 * * [simplify]: Extracting #4: cost 124 inf + 87 464.843 * * [simplify]: Extracting #5: cost 124 inf + 145 464.844 * * [simplify]: Extracting #6: cost 104 inf + 3637 464.849 * * [simplify]: Extracting #7: cost 24 inf + 26429 464.858 * * [simplify]: Extracting #8: cost 0 inf + 34620 464.866 * * [simplify]: Extracting #9: cost 0 inf + 34580 464.875 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (hypot 1 x))))) 464.875 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))))) 464.875 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1))) 464.875 * * [simplify]: iters left: 6 (16 enodes) 464.879 * * [simplify]: iters left: 5 (63 enodes) 464.889 * * [simplify]: iters left: 4 (109 enodes) 464.911 * * [simplify]: iters left: 3 (230 enodes) 464.981 * * [simplify]: Extracting #0: cost 1 inf + 0 464.982 * * [simplify]: Extracting #1: cost 0 inf + 1 464.982 * [simplify]: Simplified to 0 464.982 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 0))) 464.982 * * * * [progress]: [ 819 / 2246 ] simplifiying candidate # 464.982 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 464.982 * * [simplify]: iters left: 6 (19 enodes) 464.987 * * [simplify]: iters left: 5 (74 enodes) 464.999 * * [simplify]: iters left: 4 (151 enodes) 465.031 * * [simplify]: iters left: 3 (338 enodes) 465.145 * * [simplify]: Extracting #0: cost 1 inf + 0 465.145 * * [simplify]: Extracting #1: cost 10 inf + 0 465.145 * * [simplify]: Extracting #2: cost 117 inf + 0 465.145 * * [simplify]: Extracting #3: cost 173 inf + 45 465.146 * * [simplify]: Extracting #4: cost 168 inf + 495 465.147 * * [simplify]: Extracting #5: cost 167 inf + 788 465.147 * * [simplify]: Extracting #6: cost 167 inf + 926 465.148 * * [simplify]: Extracting #7: cost 163 inf + 1718 465.155 * * [simplify]: Extracting #8: cost 66 inf + 39096 465.171 * * [simplify]: Extracting #9: cost 1 inf + 66018 465.187 * * [simplify]: Extracting #10: cost 0 inf + 66436 465.204 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (* (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) 465.204 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (* (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 465.204 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 465.205 * * [simplify]: iters left: 6 (16 enodes) 465.209 * * [simplify]: iters left: 5 (63 enodes) 465.221 * * [simplify]: iters left: 4 (123 enodes) 465.246 * * [simplify]: iters left: 3 (281 enodes) 465.345 * * [simplify]: Extracting #0: cost 1 inf + 0 465.345 * * [simplify]: Extracting #1: cost 0 inf + 1 465.345 * [simplify]: Simplified to 0 465.345 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 465.345 * * * * [progress]: [ 820 / 2246 ] simplifiying candidate # 465.345 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 465.345 * * [simplify]: iters left: 6 (17 enodes) 465.349 * * [simplify]: iters left: 5 (66 enodes) 465.361 * * [simplify]: iters left: 4 (124 enodes) 465.385 * * [simplify]: iters left: 3 (240 enodes) 465.447 * * [simplify]: iters left: 2 (458 enodes) 465.626 * * [simplify]: Extracting #0: cost 1 inf + 0 465.626 * * [simplify]: Extracting #1: cost 36 inf + 0 465.626 * * [simplify]: Extracting #2: cost 128 inf + 44 465.627 * * [simplify]: Extracting #3: cost 161 inf + 331 465.628 * * [simplify]: Extracting #4: cost 155 inf + 1015 465.629 * * [simplify]: Extracting #5: cost 143 inf + 2529 465.631 * * [simplify]: Extracting #6: cost 119 inf + 8850 465.640 * * [simplify]: Extracting #7: cost 44 inf + 33747 465.653 * * [simplify]: Extracting #8: cost 0 inf + 49725 465.667 * [simplify]: Simplified to (* (/ 1 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- 1/2 (/ 1/2 (hypot 1 x)))) 465.667 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ 1 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- 1/2 (/ 1/2 (hypot 1 x)))) (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 465.667 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 465.668 * * [simplify]: iters left: 6 (15 enodes) 465.671 * * [simplify]: iters left: 5 (58 enodes) 465.681 * * [simplify]: iters left: 4 (101 enodes) 465.700 * * [simplify]: iters left: 3 (184 enodes) 465.744 * * [simplify]: iters left: 2 (365 enodes) 465.859 * * [simplify]: Extracting #0: cost 1 inf + 0 465.859 * * [simplify]: Extracting #1: cost 0 inf + 1 465.859 * [simplify]: Simplified to 0 465.859 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (* (/ 1 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- 1/2 (/ 1/2 (hypot 1 x)))) 0))) 465.859 * * * * [progress]: [ 821 / 2246 ] simplifiying candidate # 465.859 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 465.859 * * [simplify]: iters left: 6 (17 enodes) 465.864 * * [simplify]: iters left: 5 (63 enodes) 465.876 * * [simplify]: iters left: 4 (93 enodes) 465.890 * * [simplify]: iters left: 3 (144 enodes) 465.911 * * [simplify]: iters left: 2 (193 enodes) 465.941 * * [simplify]: iters left: 1 (274 enodes) 465.998 * * [simplify]: Extracting #0: cost 1 inf + 0 465.999 * * [simplify]: Extracting #1: cost 8 inf + 0 465.999 * * [simplify]: Extracting #2: cost 55 inf + 2 465.999 * * [simplify]: Extracting #3: cost 91 inf + 45 465.999 * * [simplify]: Extracting #4: cost 88 inf + 617 466.000 * * [simplify]: Extracting #5: cost 68 inf + 3593 466.004 * * [simplify]: Extracting #6: cost 7 inf + 20286 466.010 * * [simplify]: Extracting #7: cost 0 inf + 22406 466.015 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 466.015 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))))) 466.016 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1))) 466.016 * * [simplify]: iters left: 6 (14 enodes) 466.019 * * [simplify]: iters left: 5 (51 enodes) 466.028 * * [simplify]: iters left: 4 (77 enodes) 466.040 * * [simplify]: iters left: 3 (112 enodes) 466.058 * * [simplify]: iters left: 2 (165 enodes) 466.084 * * [simplify]: iters left: 1 (238 enodes) 466.131 * * [simplify]: Extracting #0: cost 1 inf + 0 466.131 * * [simplify]: Extracting #1: cost 0 inf + 1 466.131 * [simplify]: Simplified to 0 466.131 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 466.132 * * * * [progress]: [ 822 / 2246 ] simplifiying candidate # 466.132 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 466.132 * * [simplify]: iters left: 6 (19 enodes) 466.138 * * [simplify]: iters left: 5 (74 enodes) 466.149 * * [simplify]: iters left: 4 (101 enodes) 466.165 * * [simplify]: iters left: 3 (155 enodes) 466.189 * * [simplify]: iters left: 2 (224 enodes) 466.233 * * [simplify]: iters left: 1 (366 enodes) 466.352 * * [simplify]: Extracting #0: cost 1 inf + 0 466.352 * * [simplify]: Extracting #1: cost 8 inf + 0 466.352 * * [simplify]: Extracting #2: cost 55 inf + 2 466.354 * * [simplify]: Extracting #3: cost 112 inf + 45 466.354 * * [simplify]: Extracting #4: cost 104 inf + 791 466.355 * * [simplify]: Extracting #5: cost 85 inf + 3367 466.359 * * [simplify]: Extracting #6: cost 27 inf + 18029 466.366 * * [simplify]: Extracting #7: cost 2 inf + 25396 466.373 * * [simplify]: Extracting #8: cost 0 inf + 26032 466.380 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 466.380 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))))) 466.380 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1)))) 466.380 * * [simplify]: iters left: 6 (15 enodes) 466.385 * * [simplify]: iters left: 5 (58 enodes) 466.395 * * [simplify]: iters left: 4 (94 enodes) 466.410 * * [simplify]: iters left: 3 (132 enodes) 466.430 * * [simplify]: iters left: 2 (179 enodes) 466.464 * * [simplify]: iters left: 1 (300 enodes) 466.547 * * [simplify]: Extracting #0: cost 1 inf + 0 466.547 * * [simplify]: Extracting #1: cost 0 inf + 1 466.547 * [simplify]: Simplified to 0 466.547 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 466.547 * * * * [progress]: [ 823 / 2246 ] simplifiying candidate # 466.547 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 466.547 * * [simplify]: iters left: 6 (19 enodes) 466.554 * * [simplify]: iters left: 5 (74 enodes) 466.565 * * [simplify]: iters left: 4 (101 enodes) 466.580 * * [simplify]: iters left: 3 (155 enodes) 466.604 * * [simplify]: iters left: 2 (224 enodes) 466.648 * * [simplify]: iters left: 1 (366 enodes) 466.768 * * [simplify]: Extracting #0: cost 1 inf + 0 466.768 * * [simplify]: Extracting #1: cost 8 inf + 0 466.768 * * [simplify]: Extracting #2: cost 55 inf + 2 466.768 * * [simplify]: Extracting #3: cost 112 inf + 45 466.769 * * [simplify]: Extracting #4: cost 104 inf + 791 466.770 * * [simplify]: Extracting #5: cost 85 inf + 3367 466.774 * * [simplify]: Extracting #6: cost 27 inf + 18029 466.780 * * [simplify]: Extracting #7: cost 2 inf + 25396 466.787 * * [simplify]: Extracting #8: cost 0 inf + 26032 466.794 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 466.794 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))))) 466.795 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1)))) 466.795 * * [simplify]: iters left: 6 (15 enodes) 466.799 * * [simplify]: iters left: 5 (58 enodes) 466.810 * * [simplify]: iters left: 4 (94 enodes) 466.824 * * [simplify]: iters left: 3 (132 enodes) 466.845 * * [simplify]: iters left: 2 (179 enodes) 466.878 * * [simplify]: iters left: 1 (300 enodes) 466.960 * * [simplify]: Extracting #0: cost 1 inf + 0 466.960 * * [simplify]: Extracting #1: cost 0 inf + 1 466.960 * [simplify]: Simplified to 0 466.960 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 466.960 * * * * [progress]: [ 824 / 2246 ] simplifiying candidate # 466.960 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 466.960 * * [simplify]: iters left: 6 (17 enodes) 466.964 * * [simplify]: iters left: 5 (63 enodes) 466.975 * * [simplify]: iters left: 4 (93 enodes) 466.989 * * [simplify]: iters left: 3 (144 enodes) 467.010 * * [simplify]: iters left: 2 (193 enodes) 467.040 * * [simplify]: iters left: 1 (274 enodes) 467.096 * * [simplify]: Extracting #0: cost 1 inf + 0 467.096 * * [simplify]: Extracting #1: cost 8 inf + 0 467.096 * * [simplify]: Extracting #2: cost 55 inf + 2 467.096 * * [simplify]: Extracting #3: cost 91 inf + 45 467.097 * * [simplify]: Extracting #4: cost 88 inf + 617 467.098 * * [simplify]: Extracting #5: cost 68 inf + 3593 467.102 * * [simplify]: Extracting #6: cost 7 inf + 20286 467.107 * * [simplify]: Extracting #7: cost 0 inf + 22406 467.112 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 467.112 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))))) 467.112 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1))) 467.113 * * [simplify]: iters left: 6 (14 enodes) 467.116 * * [simplify]: iters left: 5 (51 enodes) 467.124 * * [simplify]: iters left: 4 (77 enodes) 467.135 * * [simplify]: iters left: 3 (112 enodes) 467.156 * * [simplify]: iters left: 2 (165 enodes) 467.180 * * [simplify]: iters left: 1 (238 enodes) 467.226 * * [simplify]: Extracting #0: cost 1 inf + 0 467.226 * * [simplify]: Extracting #1: cost 0 inf + 1 467.226 * [simplify]: Simplified to 0 467.227 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 467.227 * * * * [progress]: [ 825 / 2246 ] simplifiying candidate # 467.227 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 467.227 * * [simplify]: iters left: 6 (18 enodes) 467.231 * * [simplify]: iters left: 5 (73 enodes) 467.244 * * [simplify]: iters left: 4 (146 enodes) 467.275 * * [simplify]: iters left: 3 (312 enodes) 467.367 * * [simplify]: Extracting #0: cost 1 inf + 0 467.367 * * [simplify]: Extracting #1: cost 10 inf + 0 467.367 * * [simplify]: Extracting #2: cost 110 inf + 0 467.368 * * [simplify]: Extracting #3: cost 155 inf + 45 467.368 * * [simplify]: Extracting #4: cost 152 inf + 299 467.369 * * [simplify]: Extracting #5: cost 149 inf + 788 467.370 * * [simplify]: Extracting #6: cost 146 inf + 1580 467.375 * * [simplify]: Extracting #7: cost 68 inf + 30849 467.391 * * [simplify]: Extracting #8: cost 2 inf + 58588 467.406 * * [simplify]: Extracting #9: cost 0 inf + 59505 467.421 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 467.421 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 467.421 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 467.421 * * [simplify]: iters left: 6 (15 enodes) 467.425 * * [simplify]: iters left: 5 (62 enodes) 467.435 * * [simplify]: iters left: 4 (118 enodes) 467.461 * * [simplify]: iters left: 3 (252 enodes) 467.535 * * [simplify]: Extracting #0: cost 1 inf + 0 467.535 * * [simplify]: Extracting #1: cost 0 inf + 1 467.535 * [simplify]: Simplified to 0 467.535 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 467.535 * * * * [progress]: [ 826 / 2246 ] simplifiying candidate # 467.535 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 467.535 * * [simplify]: iters left: 6 (16 enodes) 467.539 * * [simplify]: iters left: 5 (65 enodes) 467.551 * * [simplify]: iters left: 4 (121 enodes) 467.574 * * [simplify]: iters left: 3 (239 enodes) 467.638 * * [simplify]: iters left: 2 (468 enodes) 467.827 * * [simplify]: Extracting #0: cost 1 inf + 0 467.827 * * [simplify]: Extracting #1: cost 36 inf + 0 467.828 * * [simplify]: Extracting #2: cost 126 inf + 44 467.828 * * [simplify]: Extracting #3: cost 160 inf + 249 467.829 * * [simplify]: Extracting #4: cost 153 inf + 1114 467.830 * * [simplify]: Extracting #5: cost 142 inf + 2567 467.832 * * [simplify]: Extracting #6: cost 119 inf + 8348 467.839 * * [simplify]: Extracting #7: cost 41 inf + 33987 467.852 * * [simplify]: Extracting #8: cost 0 inf + 49304 467.866 * [simplify]: Simplified to (* (/ 1 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- 1/2 (/ 1/2 (hypot 1 x)))) 467.866 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ 1 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- 1/2 (/ 1/2 (hypot 1 x)))) (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 467.866 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 467.866 * * [simplify]: iters left: 6 (14 enodes) 467.870 * * [simplify]: iters left: 5 (57 enodes) 467.879 * * [simplify]: iters left: 4 (98 enodes) 467.897 * * [simplify]: iters left: 3 (181 enodes) 467.941 * * [simplify]: iters left: 2 (360 enodes) 468.060 * * [simplify]: Extracting #0: cost 1 inf + 0 468.060 * * [simplify]: Extracting #1: cost 0 inf + 1 468.060 * [simplify]: Simplified to 0 468.060 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (* (/ 1 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- 1/2 (/ 1/2 (hypot 1 x)))) 0))) 468.060 * * * * [progress]: [ 827 / 2246 ] simplifiying candidate # 468.061 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 468.061 * * [simplify]: iters left: 6 (16 enodes) 468.065 * * [simplify]: iters left: 5 (62 enodes) 468.075 * * [simplify]: iters left: 4 (92 enodes) 468.090 * * [simplify]: iters left: 3 (143 enodes) 468.111 * * [simplify]: iters left: 2 (192 enodes) 468.140 * * [simplify]: iters left: 1 (273 enodes) 468.196 * * [simplify]: Extracting #0: cost 1 inf + 0 468.196 * * [simplify]: Extracting #1: cost 8 inf + 0 468.196 * * [simplify]: Extracting #2: cost 55 inf + 2 468.196 * * [simplify]: Extracting #3: cost 91 inf + 45 468.197 * * [simplify]: Extracting #4: cost 89 inf + 439 468.197 * * [simplify]: Extracting #5: cost 73 inf + 2943 468.201 * * [simplify]: Extracting #6: cost 9 inf + 19849 468.207 * * [simplify]: Extracting #7: cost 0 inf + 22406 468.212 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 468.212 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))))) 468.212 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1))) 468.212 * * [simplify]: iters left: 6 (13 enodes) 468.216 * * [simplify]: iters left: 5 (50 enodes) 468.224 * * [simplify]: iters left: 4 (76 enodes) 468.235 * * [simplify]: iters left: 3 (111 enodes) 468.253 * * [simplify]: iters left: 2 (147 enodes) 468.277 * * [simplify]: iters left: 1 (234 enodes) 468.323 * * [simplify]: Extracting #0: cost 1 inf + 0 468.323 * * [simplify]: Extracting #1: cost 0 inf + 1 468.323 * [simplify]: Simplified to 0 468.323 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 468.323 * * * * [progress]: [ 828 / 2246 ] simplifiying candidate # 468.323 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 468.324 * * [simplify]: iters left: 6 (18 enodes) 468.330 * * [simplify]: iters left: 5 (73 enodes) 468.340 * * [simplify]: iters left: 4 (100 enodes) 468.356 * * [simplify]: iters left: 3 (154 enodes) 468.381 * * [simplify]: iters left: 2 (223 enodes) 468.422 * * [simplify]: iters left: 1 (365 enodes) 468.541 * * [simplify]: Extracting #0: cost 1 inf + 0 468.541 * * [simplify]: Extracting #1: cost 8 inf + 0 468.542 * * [simplify]: Extracting #2: cost 55 inf + 2 468.542 * * [simplify]: Extracting #3: cost 112 inf + 45 468.542 * * [simplify]: Extracting #4: cost 102 inf + 1067 468.544 * * [simplify]: Extracting #5: cost 82 inf + 4075 468.547 * * [simplify]: Extracting #6: cost 37 inf + 15279 468.554 * * [simplify]: Extracting #7: cost 4 inf + 24759 468.561 * * [simplify]: Extracting #8: cost 0 inf + 26032 468.568 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 468.568 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))))) 468.568 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1)))) 468.568 * * [simplify]: iters left: 6 (14 enodes) 468.572 * * [simplify]: iters left: 5 (57 enodes) 468.583 * * [simplify]: iters left: 4 (93 enodes) 468.597 * * [simplify]: iters left: 3 (131 enodes) 468.617 * * [simplify]: iters left: 2 (178 enodes) 468.651 * * [simplify]: iters left: 1 (299 enodes) 468.731 * * [simplify]: Extracting #0: cost 1 inf + 0 468.732 * * [simplify]: Extracting #1: cost 0 inf + 1 468.732 * [simplify]: Simplified to 0 468.732 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 468.732 * * * * [progress]: [ 829 / 2246 ] simplifiying candidate # 468.732 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 468.732 * * [simplify]: iters left: 6 (18 enodes) 468.738 * * [simplify]: iters left: 5 (73 enodes) 468.749 * * [simplify]: iters left: 4 (100 enodes) 468.764 * * [simplify]: iters left: 3 (154 enodes) 468.790 * * [simplify]: iters left: 2 (223 enodes) 468.831 * * [simplify]: iters left: 1 (365 enodes) 468.950 * * [simplify]: Extracting #0: cost 1 inf + 0 468.950 * * [simplify]: Extracting #1: cost 8 inf + 0 468.950 * * [simplify]: Extracting #2: cost 55 inf + 2 468.950 * * [simplify]: Extracting #3: cost 112 inf + 45 468.951 * * [simplify]: Extracting #4: cost 102 inf + 1067 468.952 * * [simplify]: Extracting #5: cost 82 inf + 4075 468.956 * * [simplify]: Extracting #6: cost 37 inf + 15279 468.962 * * [simplify]: Extracting #7: cost 4 inf + 24759 468.969 * * [simplify]: Extracting #8: cost 0 inf + 26032 468.976 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 468.976 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))))) 468.976 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1)))) 468.977 * * [simplify]: iters left: 6 (14 enodes) 468.981 * * [simplify]: iters left: 5 (57 enodes) 468.991 * * [simplify]: iters left: 4 (93 enodes) 469.005 * * [simplify]: iters left: 3 (131 enodes) 469.026 * * [simplify]: iters left: 2 (178 enodes) 469.059 * * [simplify]: iters left: 1 (299 enodes) 469.139 * * [simplify]: Extracting #0: cost 1 inf + 0 469.139 * * [simplify]: Extracting #1: cost 0 inf + 1 469.139 * [simplify]: Simplified to 0 469.139 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 469.139 * * * * [progress]: [ 830 / 2246 ] simplifiying candidate # 469.139 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 469.139 * * [simplify]: iters left: 6 (16 enodes) 469.143 * * [simplify]: iters left: 5 (62 enodes) 469.154 * * [simplify]: iters left: 4 (92 enodes) 469.168 * * [simplify]: iters left: 3 (143 enodes) 469.190 * * [simplify]: iters left: 2 (192 enodes) 469.218 * * [simplify]: iters left: 1 (273 enodes) 469.274 * * [simplify]: Extracting #0: cost 1 inf + 0 469.274 * * [simplify]: Extracting #1: cost 8 inf + 0 469.274 * * [simplify]: Extracting #2: cost 55 inf + 2 469.274 * * [simplify]: Extracting #3: cost 91 inf + 45 469.275 * * [simplify]: Extracting #4: cost 89 inf + 439 469.276 * * [simplify]: Extracting #5: cost 73 inf + 2943 469.279 * * [simplify]: Extracting #6: cost 9 inf + 19849 469.285 * * [simplify]: Extracting #7: cost 0 inf + 22406 469.290 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 469.290 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))))) 469.290 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1))) 469.290 * * [simplify]: iters left: 6 (13 enodes) 469.294 * * [simplify]: iters left: 5 (50 enodes) 469.302 * * [simplify]: iters left: 4 (76 enodes) 469.315 * * [simplify]: iters left: 3 (111 enodes) 469.332 * * [simplify]: iters left: 2 (147 enodes) 469.355 * * [simplify]: iters left: 1 (234 enodes) 469.403 * * [simplify]: Extracting #0: cost 1 inf + 0 469.403 * * [simplify]: Extracting #1: cost 0 inf + 1 469.403 * [simplify]: Simplified to 0 469.403 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 469.403 * * * * [progress]: [ 831 / 2246 ] simplifiying candidate # 469.403 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 469.403 * * [simplify]: iters left: 6 (19 enodes) 469.407 * * [simplify]: iters left: 5 (76 enodes) 469.420 * * [simplify]: iters left: 4 (153 enodes) 469.450 * * [simplify]: iters left: 3 (305 enodes) 469.525 * * [simplify]: Extracting #0: cost 1 inf + 0 469.525 * * [simplify]: Extracting #1: cost 10 inf + 0 469.525 * * [simplify]: Extracting #2: cost 97 inf + 0 469.526 * * [simplify]: Extracting #3: cost 160 inf + 45 469.526 * * [simplify]: Extracting #4: cost 155 inf + 535 469.527 * * [simplify]: Extracting #5: cost 148 inf + 1493 469.528 * * [simplify]: Extracting #6: cost 143 inf + 2738 469.532 * * [simplify]: Extracting #7: cost 78 inf + 26960 469.545 * * [simplify]: Extracting #8: cost 7 inf + 55824 469.560 * * [simplify]: Extracting #9: cost 0 inf + 58792 469.577 * * [simplify]: Extracting #10: cost 0 inf + 58791 469.592 * [simplify]: Simplified to (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))))) 469.592 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (/ 1/2 (hypot 1 x)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))))) (fma (- (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 469.593 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 469.593 * * [simplify]: iters left: 6 (16 enodes) 469.597 * * [simplify]: iters left: 5 (65 enodes) 469.607 * * [simplify]: iters left: 4 (125 enodes) 469.630 * * [simplify]: iters left: 3 (242 enodes) 469.686 * * [simplify]: Extracting #0: cost 1 inf + 0 469.686 * * [simplify]: Extracting #1: cost 0 inf + 1 469.686 * [simplify]: Simplified to 0 469.686 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 469.686 * * * * [progress]: [ 832 / 2246 ] simplifiying candidate # 469.687 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 469.687 * * [simplify]: iters left: 6 (17 enodes) 469.691 * * [simplify]: iters left: 5 (68 enodes) 469.704 * * [simplify]: iters left: 4 (126 enodes) 469.725 * * [simplify]: iters left: 3 (215 enodes) 469.772 * * [simplify]: iters left: 2 (453 enodes) 469.968 * * [simplify]: Extracting #0: cost 1 inf + 0 469.969 * * [simplify]: Extracting #1: cost 33 inf + 0 469.969 * * [simplify]: Extracting #2: cost 152 inf + 44 469.970 * * [simplify]: Extracting #3: cost 168 inf + 495 469.970 * * [simplify]: Extracting #4: cost 164 inf + 944 469.972 * * [simplify]: Extracting #5: cost 137 inf + 5228 469.979 * * [simplify]: Extracting #6: cost 47 inf + 34833 469.994 * * [simplify]: Extracting #7: cost 0 inf + 51459 470.009 * * [simplify]: Extracting #8: cost 0 inf + 51324 470.025 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 470.025 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 470.025 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 470.025 * * [simplify]: iters left: 6 (15 enodes) 470.029 * * [simplify]: iters left: 5 (60 enodes) 470.041 * * [simplify]: iters left: 4 (103 enodes) 470.057 * * [simplify]: iters left: 3 (167 enodes) 470.092 * * [simplify]: iters left: 2 (361 enodes) 470.218 * * [simplify]: Extracting #0: cost 1 inf + 0 470.218 * * [simplify]: Extracting #1: cost 0 inf + 1 470.218 * [simplify]: Simplified to 0 470.218 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 470.218 * * * * [progress]: [ 833 / 2246 ] simplifiying candidate # 470.218 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 470.218 * * [simplify]: iters left: 6 (17 enodes) 470.223 * * [simplify]: iters left: 5 (65 enodes) 470.233 * * [simplify]: iters left: 4 (109 enodes) 470.249 * * [simplify]: iters left: 3 (169 enodes) 470.275 * * [simplify]: iters left: 2 (234 enodes) 470.306 * * [simplify]: iters left: 1 (325 enodes) 470.361 * * [simplify]: Extracting #0: cost 1 inf + 0 470.361 * * [simplify]: Extracting #1: cost 10 inf + 0 470.361 * * [simplify]: Extracting #2: cost 61 inf + 2 470.361 * * [simplify]: Extracting #3: cost 84 inf + 47 470.362 * * [simplify]: Extracting #4: cost 78 inf + 871 470.362 * * [simplify]: Extracting #5: cost 64 inf + 3117 470.366 * * [simplify]: Extracting #6: cost 16 inf + 17023 470.371 * * [simplify]: Extracting #7: cost 0 inf + 21094 470.377 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 470.377 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))))) 470.377 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1))) 470.377 * * [simplify]: iters left: 6 (14 enodes) 470.381 * * [simplify]: iters left: 5 (53 enodes) 470.391 * * [simplify]: iters left: 4 (92 enodes) 470.404 * * [simplify]: iters left: 3 (137 enodes) 470.422 * * [simplify]: iters left: 2 (188 enodes) 470.450 * * [simplify]: iters left: 1 (283 enodes) 470.494 * * [simplify]: Extracting #0: cost 1 inf + 0 470.495 * * [simplify]: Extracting #1: cost 0 inf + 1 470.495 * [simplify]: Simplified to 0 470.495 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 470.495 * * * * [progress]: [ 834 / 2246 ] simplifiying candidate # 470.495 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 470.495 * * [simplify]: iters left: 6 (19 enodes) 470.501 * * [simplify]: iters left: 5 (76 enodes) 470.514 * * [simplify]: iters left: 4 (110 enodes) 470.530 * * [simplify]: iters left: 3 (180 enodes) 470.559 * * [simplify]: iters left: 2 (287 enodes) 470.612 * * [simplify]: iters left: 1 (460 enodes) 470.747 * * [simplify]: Extracting #0: cost 1 inf + 0 470.748 * * [simplify]: Extracting #1: cost 10 inf + 0 470.748 * * [simplify]: Extracting #2: cost 60 inf + 2 470.748 * * [simplify]: Extracting #3: cost 109 inf + 47 470.749 * * [simplify]: Extracting #4: cost 104 inf + 889 470.750 * * [simplify]: Extracting #5: cost 83 inf + 3781 470.753 * * [simplify]: Extracting #6: cost 41 inf + 14490 470.759 * * [simplify]: Extracting #7: cost 2 inf + 25661 470.766 * * [simplify]: Extracting #8: cost 0 inf + 26298 470.774 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 470.774 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))))) 470.774 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1)))) 470.774 * * [simplify]: iters left: 6 (15 enodes) 470.780 * * [simplify]: iters left: 5 (60 enodes) 470.790 * * [simplify]: iters left: 4 (93 enodes) 470.803 * * [simplify]: iters left: 3 (149 enodes) 470.828 * * [simplify]: iters left: 2 (229 enodes) 470.867 * * [simplify]: iters left: 1 (341 enodes) 470.943 * * [simplify]: Extracting #0: cost 1 inf + 0 470.943 * * [simplify]: Extracting #1: cost 0 inf + 1 470.943 * [simplify]: Simplified to 0 470.943 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 470.943 * * * * [progress]: [ 835 / 2246 ] simplifiying candidate # 470.943 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 470.943 * * [simplify]: iters left: 6 (19 enodes) 470.950 * * [simplify]: iters left: 5 (76 enodes) 470.961 * * [simplify]: iters left: 4 (110 enodes) 470.977 * * [simplify]: iters left: 3 (180 enodes) 471.008 * * [simplify]: iters left: 2 (287 enodes) 471.062 * * [simplify]: iters left: 1 (460 enodes) 471.195 * * [simplify]: Extracting #0: cost 1 inf + 0 471.195 * * [simplify]: Extracting #1: cost 10 inf + 0 471.195 * * [simplify]: Extracting #2: cost 60 inf + 2 471.195 * * [simplify]: Extracting #3: cost 109 inf + 47 471.196 * * [simplify]: Extracting #4: cost 104 inf + 889 471.197 * * [simplify]: Extracting #5: cost 83 inf + 3781 471.200 * * [simplify]: Extracting #6: cost 41 inf + 14490 471.206 * * [simplify]: Extracting #7: cost 2 inf + 25661 471.214 * * [simplify]: Extracting #8: cost 0 inf + 26298 471.221 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 471.221 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))))) 471.221 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1)))) 471.221 * * [simplify]: iters left: 6 (15 enodes) 471.229 * * [simplify]: iters left: 5 (60 enodes) 471.238 * * [simplify]: iters left: 4 (93 enodes) 471.252 * * [simplify]: iters left: 3 (149 enodes) 471.274 * * [simplify]: iters left: 2 (229 enodes) 471.314 * * [simplify]: iters left: 1 (341 enodes) 471.389 * * [simplify]: Extracting #0: cost 1 inf + 0 471.389 * * [simplify]: Extracting #1: cost 0 inf + 1 471.389 * [simplify]: Simplified to 0 471.389 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 471.389 * * * * [progress]: [ 836 / 2246 ] simplifiying candidate # 471.389 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 471.389 * * [simplify]: iters left: 6 (17 enodes) 471.393 * * [simplify]: iters left: 5 (65 enodes) 471.404 * * [simplify]: iters left: 4 (109 enodes) 471.421 * * [simplify]: iters left: 3 (169 enodes) 471.445 * * [simplify]: iters left: 2 (234 enodes) 471.478 * * [simplify]: iters left: 1 (325 enodes) 471.532 * * [simplify]: Extracting #0: cost 1 inf + 0 471.532 * * [simplify]: Extracting #1: cost 10 inf + 0 471.532 * * [simplify]: Extracting #2: cost 61 inf + 2 471.534 * * [simplify]: Extracting #3: cost 84 inf + 47 471.534 * * [simplify]: Extracting #4: cost 78 inf + 871 471.535 * * [simplify]: Extracting #5: cost 64 inf + 3117 471.539 * * [simplify]: Extracting #6: cost 16 inf + 17023 471.544 * * [simplify]: Extracting #7: cost 0 inf + 21094 471.549 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 471.549 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))))) 471.549 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1))) 471.549 * * [simplify]: iters left: 6 (14 enodes) 471.553 * * [simplify]: iters left: 5 (53 enodes) 471.562 * * [simplify]: iters left: 4 (92 enodes) 471.574 * * [simplify]: iters left: 3 (137 enodes) 471.593 * * [simplify]: iters left: 2 (188 enodes) 471.621 * * [simplify]: iters left: 1 (283 enodes) 471.667 * * [simplify]: Extracting #0: cost 1 inf + 0 471.667 * * [simplify]: Extracting #1: cost 0 inf + 1 471.667 * [simplify]: Simplified to 0 471.667 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 471.667 * * * * [progress]: [ 837 / 2246 ] simplifiying candidate # 471.668 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))) 471.668 * * [simplify]: iters left: 6 (15 enodes) 471.672 * * [simplify]: iters left: 5 (59 enodes) 471.682 * * [simplify]: iters left: 4 (94 enodes) 471.697 * * [simplify]: iters left: 3 (147 enodes) 471.718 * * [simplify]: iters left: 2 (192 enodes) 471.750 * * [simplify]: iters left: 1 (282 enodes) 471.808 * * [simplify]: Extracting #0: cost 1 inf + 0 471.808 * * [simplify]: Extracting #1: cost 8 inf + 0 471.808 * * [simplify]: Extracting #2: cost 55 inf + 2 471.809 * * [simplify]: Extracting #3: cost 91 inf + 45 471.809 * * [simplify]: Extracting #4: cost 87 inf + 635 471.810 * * [simplify]: Extracting #5: cost 68 inf + 3487 471.813 * * [simplify]: Extracting #6: cost 12 inf + 18913 471.819 * * [simplify]: Extracting #7: cost 0 inf + 22406 471.824 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 471.824 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1 (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))))) 471.824 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1 (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1)) 471.824 * * [simplify]: iters left: 6 (12 enodes) 471.827 * * [simplify]: iters left: 5 (47 enodes) 471.836 * * [simplify]: iters left: 4 (79 enodes) 471.847 * * [simplify]: iters left: 3 (107 enodes) 471.868 * * [simplify]: iters left: 2 (167 enodes) 471.894 * * [simplify]: iters left: 1 (239 enodes) 471.939 * * [simplify]: Extracting #0: cost 1 inf + 0 471.939 * * [simplify]: Extracting #1: cost 0 inf + 1 471.939 * [simplify]: Simplified to 0 471.939 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 471.939 * * * * [progress]: [ 838 / 2246 ] simplifiying candidate # 471.940 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))) 471.940 * * [simplify]: iters left: 6 (15 enodes) 471.943 * * [simplify]: iters left: 5 (60 enodes) 471.953 * * [simplify]: iters left: 4 (103 enodes) 471.970 * * [simplify]: iters left: 3 (169 enodes) 472.001 * * [simplify]: iters left: 2 (262 enodes) 472.051 * * [simplify]: iters left: 1 (400 enodes) 472.152 * * [simplify]: Extracting #0: cost 1 inf + 0 472.152 * * [simplify]: Extracting #1: cost 10 inf + 0 472.152 * * [simplify]: Extracting #2: cost 54 inf + 0 472.152 * * [simplify]: Extracting #3: cost 81 inf + 45 472.153 * * [simplify]: Extracting #4: cost 79 inf + 729 472.154 * * [simplify]: Extracting #5: cost 64 inf + 3057 472.157 * * [simplify]: Extracting #6: cost 13 inf + 16970 472.163 * * [simplify]: Extracting #7: cost 0 inf + 20117 472.169 * * [simplify]: Extracting #8: cost 0 inf + 20092 472.175 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 472.175 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (hypot 1 x)) (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))))) 472.176 * [simplify]: Simplifying (fma (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (hypot 1 x)) (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x)))) 472.176 * * [simplify]: iters left: 6 (12 enodes) 472.179 * * [simplify]: iters left: 5 (50 enodes) 472.187 * * [simplify]: iters left: 4 (76 enodes) 472.200 * * [simplify]: iters left: 3 (143 enodes) 472.228 * * [simplify]: iters left: 2 (233 enodes) 472.273 * * [simplify]: iters left: 1 (369 enodes) 472.355 * * [simplify]: Extracting #0: cost 1 inf + 0 472.355 * * [simplify]: Extracting #1: cost 0 inf + 1 472.355 * [simplify]: Simplified to 0 472.355 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 472.355 * * * * [progress]: [ 839 / 2246 ] simplifiying candidate # 472.355 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 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))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))) 472.355 * * [simplify]: iters left: 6 (24 enodes) 472.362 * * [simplify]: iters left: 5 (100 enodes) 472.382 * * [simplify]: iters left: 4 (246 enodes) 472.442 * * [simplify]: Extracting #0: cost 1 inf + 0 472.442 * * [simplify]: Extracting #1: cost 10 inf + 0 472.442 * * [simplify]: Extracting #2: cost 104 inf + 0 472.443 * * [simplify]: Extracting #3: cost 178 inf + 46 472.444 * * [simplify]: Extracting #4: cost 149 inf + 7443 472.453 * * [simplify]: Extracting #5: cost 37 inf + 39436 472.464 * * [simplify]: Extracting #6: cost 3 inf + 52480 472.475 * * [simplify]: Extracting #7: cost 1 inf + 53089 472.486 * * [simplify]: Extracting #8: cost 0 inf + 53478 472.497 * [simplify]: Simplified to (- (* (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1)))) 472.497 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (* (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (/ (sqrt 1/2) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1)))) (fma (- (+ (* 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 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (* (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))))) 472.498 * [simplify]: Simplifying (fma (- (+ (* 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 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (* (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))))) 472.498 * * [simplify]: iters left: 6 (20 enodes) 472.504 * * [simplify]: iters left: 5 (87 enodes) 472.520 * * [simplify]: iters left: 4 (224 enodes) 472.583 * * [simplify]: Extracting #0: cost 1 inf + 0 472.583 * * [simplify]: Extracting #1: cost 14 inf + 0 472.583 * * [simplify]: Extracting #2: cost 116 inf + 0 472.584 * * [simplify]: Extracting #3: cost 173 inf + 989 472.587 * * [simplify]: Extracting #4: cost 109 inf + 16215 472.597 * * [simplify]: Extracting #5: cost 31 inf + 40092 472.608 * * [simplify]: Extracting #6: cost 1 inf + 50253 472.619 * * [simplify]: Extracting #7: cost 0 inf + 50642 472.630 * [simplify]: Simplified to (- (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 472.630 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 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))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))) (- (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))))) 472.630 * * * * [progress]: [ 840 / 2246 ] simplifiying candidate # 472.631 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 472.631 * * [simplify]: iters left: 6 (19 enodes) 472.636 * * [simplify]: iters left: 5 (73 enodes) 472.647 * * [simplify]: iters left: 4 (137 enodes) 472.673 * * [simplify]: iters left: 3 (288 enodes) 472.735 * * [simplify]: Extracting #0: cost 1 inf + 0 472.735 * * [simplify]: Extracting #1: cost 16 inf + 0 472.736 * * [simplify]: Extracting #2: cost 109 inf + 0 472.736 * * [simplify]: Extracting #3: cost 159 inf + 45 472.737 * * [simplify]: Extracting #4: cost 173 inf + 931 472.738 * * [simplify]: Extracting #5: cost 142 inf + 5072 472.741 * * [simplify]: Extracting #6: cost 78 inf + 20785 472.750 * * [simplify]: Extracting #7: cost 9 inf + 40648 472.760 * * [simplify]: Extracting #8: cost 0 inf + 43455 472.770 * [simplify]: Simplified to (fma (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) -1) (/ (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 472.770 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) -1) (/ (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (/ 1/2 (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) (fma (- (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 472.770 * [simplify]: Simplifying (fma (- (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 472.770 * * [simplify]: iters left: 6 (15 enodes) 472.774 * * [simplify]: iters left: 5 (56 enodes) 472.783 * * [simplify]: iters left: 4 (109 enodes) 472.806 * * [simplify]: iters left: 3 (271 enodes) 472.869 * * [simplify]: Extracting #0: cost 1 inf + 0 472.869 * * [simplify]: Extracting #1: cost 0 inf + 1 472.869 * [simplify]: Simplified to 0 472.869 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 472.869 * * * * [progress]: [ 841 / 2246 ] simplifiying candidate # 472.869 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 472.870 * * [simplify]: iters left: 6 (17 enodes) 472.874 * * [simplify]: iters left: 5 (64 enodes) 472.884 * * [simplify]: iters left: 4 (93 enodes) 472.899 * * [simplify]: iters left: 3 (132 enodes) 472.919 * * [simplify]: iters left: 2 (193 enodes) 472.951 * * [simplify]: iters left: 1 (309 enodes) 473.011 * * [simplify]: Extracting #0: cost 1 inf + 0 473.011 * * [simplify]: Extracting #1: cost 13 inf + 0 473.011 * * [simplify]: Extracting #2: cost 79 inf + 0 473.011 * * [simplify]: Extracting #3: cost 129 inf + 4 473.012 * * [simplify]: Extracting #4: cost 127 inf + 285 473.013 * * [simplify]: Extracting #5: cost 106 inf + 3069 473.014 * * [simplify]: Extracting #6: cost 100 inf + 3920 473.016 * * [simplify]: Extracting #7: cost 73 inf + 11664 473.021 * * [simplify]: Extracting #8: cost 47 inf + 24033 473.029 * * [simplify]: Extracting #9: cost 7 inf + 53450 473.040 * * [simplify]: Extracting #10: cost 0 inf + 59290 473.050 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 473.050 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 473.050 * [simplify]: Simplifying (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 473.050 * * [simplify]: iters left: 6 (14 enodes) 473.054 * * [simplify]: iters left: 5 (53 enodes) 473.062 * * [simplify]: iters left: 4 (76 enodes) 473.077 * * [simplify]: iters left: 3 (134 enodes) 473.098 * * [simplify]: iters left: 2 (194 enodes) 473.128 * * [simplify]: iters left: 1 (293 enodes) 473.175 * * [simplify]: Extracting #0: cost 1 inf + 0 473.175 * * [simplify]: Extracting #1: cost 0 inf + 1 473.175 * [simplify]: Simplified to 0 473.175 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 473.175 * * * * [progress]: [ 842 / 2246 ] simplifiying candidate # 473.175 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 473.175 * * [simplify]: iters left: 6 (16 enodes) 473.179 * * [simplify]: iters left: 5 (55 enodes) 473.187 * * [simplify]: iters left: 4 (77 enodes) 473.198 * * [simplify]: iters left: 3 (98 enodes) 473.213 * * [simplify]: iters left: 2 (119 enodes) 473.230 * * [simplify]: iters left: 1 (176 enodes) 473.257 * * [simplify]: Extracting #0: cost 1 inf + 0 473.257 * * [simplify]: Extracting #1: cost 11 inf + 0 473.257 * * [simplify]: Extracting #2: cost 42 inf + 0 473.258 * * [simplify]: Extracting #3: cost 60 inf + 3 473.258 * * [simplify]: Extracting #4: cost 50 inf + 1176 473.259 * * [simplify]: Extracting #5: cost 36 inf + 3788 473.261 * * [simplify]: Extracting #6: cost 14 inf + 9903 473.264 * * [simplify]: Extracting #7: cost 0 inf + 14270 473.268 * * [simplify]: Extracting #8: cost 0 inf + 14190 473.271 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 473.271 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 473.272 * [simplify]: Simplifying (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 473.272 * * [simplify]: iters left: 6 (13 enodes) 473.275 * * [simplify]: iters left: 5 (45 enodes) 473.283 * * [simplify]: iters left: 4 (60 enodes) 473.291 * * [simplify]: iters left: 3 (85 enodes) 473.303 * * [simplify]: iters left: 2 (102 enodes) 473.316 * * [simplify]: iters left: 1 (126 enodes) 473.331 * * [simplify]: Extracting #0: cost 1 inf + 0 473.331 * * [simplify]: Extracting #1: cost 0 inf + 1 473.331 * [simplify]: Simplified to 0 473.331 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 473.331 * * * * [progress]: [ 843 / 2246 ] simplifiying candidate # 473.332 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))) 473.332 * * [simplify]: iters left: 6 (20 enodes) 473.336 * * [simplify]: iters left: 5 (78 enodes) 473.351 * * [simplify]: iters left: 4 (159 enodes) 473.383 * * [simplify]: iters left: 3 (323 enodes) 473.448 * * [simplify]: Extracting #0: cost 1 inf + 0 473.448 * * [simplify]: Extracting #1: cost 11 inf + 0 473.448 * * [simplify]: Extracting #2: cost 69 inf + 0 473.448 * * [simplify]: Extracting #3: cost 106 inf + 3 473.449 * * [simplify]: Extracting #4: cost 107 inf + 168 473.449 * * [simplify]: Extracting #5: cost 102 inf + 641 473.450 * * [simplify]: Extracting #6: cost 85 inf + 4157 473.454 * * [simplify]: Extracting #7: cost 38 inf + 23487 473.463 * * [simplify]: Extracting #8: cost 2 inf + 39986 473.475 * * [simplify]: Extracting #9: cost 0 inf + 40862 473.485 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 473.485 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))))) 473.486 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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)))))))) 473.486 * * [simplify]: iters left: 6 (17 enodes) 473.490 * * [simplify]: iters left: 5 (69 enodes) 473.501 * * [simplify]: iters left: 4 (135 enodes) 473.529 * * [simplify]: iters left: 3 (301 enodes) 473.590 * * [simplify]: Extracting #0: cost 1 inf + 0 473.590 * * [simplify]: Extracting #1: cost 0 inf + 1 473.590 * [simplify]: Simplified to 0 473.591 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))) 0))) 473.591 * * * * [progress]: [ 844 / 2246 ] simplifiying candidate # 473.591 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 473.591 * * [simplify]: iters left: 6 (19 enodes) 473.595 * * [simplify]: iters left: 5 (72 enodes) 473.608 * * [simplify]: iters left: 4 (122 enodes) 473.628 * * [simplify]: iters left: 3 (194 enodes) 473.658 * * [simplify]: iters left: 2 (271 enodes) 473.708 * * [simplify]: iters left: 1 (402 enodes) 473.809 * * [simplify]: Extracting #0: cost 1 inf + 0 473.809 * * [simplify]: Extracting #1: cost 11 inf + 0 473.809 * * [simplify]: Extracting #2: cost 85 inf + 0 473.809 * * [simplify]: Extracting #3: cost 156 inf + 3 473.810 * * [simplify]: Extracting #4: cost 149 inf + 521 473.811 * * [simplify]: Extracting #5: cost 143 inf + 1173 473.816 * * [simplify]: Extracting #6: cost 66 inf + 29655 473.827 * * [simplify]: Extracting #7: cost 2 inf + 57749 473.842 * * [simplify]: Extracting #8: cost 0 inf + 58846 473.854 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 473.854 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 473.854 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 473.854 * * [simplify]: iters left: 6 (16 enodes) 473.858 * * [simplify]: iters left: 5 (63 enodes) 473.868 * * [simplify]: iters left: 4 (100 enodes) 473.883 * * [simplify]: iters left: 3 (175 enodes) 473.914 * * [simplify]: iters left: 2 (267 enodes) 473.956 * * [simplify]: iters left: 1 (373 enodes) 474.020 * * [simplify]: Extracting #0: cost 1 inf + 0 474.020 * * [simplify]: Extracting #1: cost 0 inf + 1 474.020 * [simplify]: Simplified to 0 474.020 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 474.020 * * * * [progress]: [ 845 / 2246 ] simplifiying candidate # 474.020 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 474.020 * * [simplify]: iters left: 6 (18 enodes) 474.026 * * [simplify]: iters left: 5 (67 enodes) 474.037 * * [simplify]: iters left: 4 (123 enodes) 474.059 * * [simplify]: iters left: 3 (214 enodes) 474.109 * * [simplify]: iters left: 2 (377 enodes) 474.210 * * [simplify]: Extracting #0: cost 1 inf + 0 474.210 * * [simplify]: Extracting #1: cost 13 inf + 0 474.210 * * [simplify]: Extracting #2: cost 65 inf + 0 474.211 * * [simplify]: Extracting #3: cost 115 inf + 3 474.211 * * [simplify]: Extracting #4: cost 111 inf + 285 474.212 * * [simplify]: Extracting #5: cost 104 inf + 1196 474.214 * * [simplify]: Extracting #6: cost 52 inf + 18548 474.221 * * [simplify]: Extracting #7: cost 0 inf + 40566 474.229 * * [simplify]: Extracting #8: cost 0 inf + 40206 474.237 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 474.237 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))))) 474.237 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1))) 474.237 * * [simplify]: iters left: 6 (15 enodes) 474.241 * * [simplify]: iters left: 5 (58 enodes) 474.250 * * [simplify]: iters left: 4 (100 enodes) 474.269 * * [simplify]: iters left: 3 (192 enodes) 474.311 * * [simplify]: iters left: 2 (333 enodes) 474.390 * * [simplify]: Extracting #0: cost 1 inf + 0 474.390 * * [simplify]: Extracting #1: cost 0 inf + 1 474.391 * [simplify]: Simplified to 0 474.391 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 0))) 474.391 * * * * [progress]: [ 846 / 2246 ] simplifiying candidate # 474.392 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 474.392 * * [simplify]: iters left: 6 (20 enodes) 474.397 * * [simplify]: iters left: 5 (76 enodes) 474.408 * * [simplify]: iters left: 4 (116 enodes) 474.426 * * [simplify]: iters left: 3 (200 enodes) 474.465 * * [simplify]: iters left: 2 (297 enodes) 474.530 * * [simplify]: iters left: 1 (407 enodes) 474.622 * * [simplify]: Extracting #0: cost 1 inf + 0 474.622 * * [simplify]: Extracting #1: cost 11 inf + 0 474.622 * * [simplify]: Extracting #2: cost 53 inf + 0 474.623 * * [simplify]: Extracting #3: cost 107 inf + 3 474.623 * * [simplify]: Extracting #4: cost 104 inf + 326 474.624 * * [simplify]: Extracting #5: cost 97 inf + 1276 474.625 * * [simplify]: Extracting #6: cost 62 inf + 11474 474.631 * * [simplify]: Extracting #7: cost 11 inf + 32900 474.639 * * [simplify]: Extracting #8: cost 0 inf + 37993 474.646 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 474.646 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))))) 474.647 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)))) 474.647 * * [simplify]: iters left: 6 (16 enodes) 474.652 * * [simplify]: iters left: 5 (63 enodes) 474.661 * * [simplify]: iters left: 4 (94 enodes) 474.676 * * [simplify]: iters left: 3 (179 enodes) 474.714 * * [simplify]: iters left: 2 (303 enodes) 474.778 * * [simplify]: iters left: 1 (423 enodes) 474.879 * * [simplify]: Extracting #0: cost 1 inf + 0 474.879 * * [simplify]: Extracting #1: cost 0 inf + 1 474.879 * [simplify]: Simplified to 0 474.879 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 474.879 * * * * [progress]: [ 847 / 2246 ] simplifiying candidate # 474.879 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 474.879 * * [simplify]: iters left: 6 (20 enodes) 474.885 * * [simplify]: iters left: 5 (76 enodes) 474.895 * * [simplify]: iters left: 4 (116 enodes) 474.913 * * [simplify]: iters left: 3 (200 enodes) 474.952 * * [simplify]: iters left: 2 (297 enodes) 475.016 * * [simplify]: iters left: 1 (407 enodes) 475.106 * * [simplify]: Extracting #0: cost 1 inf + 0 475.106 * * [simplify]: Extracting #1: cost 11 inf + 0 475.106 * * [simplify]: Extracting #2: cost 53 inf + 0 475.106 * * [simplify]: Extracting #3: cost 107 inf + 3 475.107 * * [simplify]: Extracting #4: cost 104 inf + 326 475.107 * * [simplify]: Extracting #5: cost 97 inf + 1276 475.109 * * [simplify]: Extracting #6: cost 62 inf + 11474 475.114 * * [simplify]: Extracting #7: cost 11 inf + 32900 475.122 * * [simplify]: Extracting #8: cost 0 inf + 37993 475.129 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 475.129 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))))) 475.130 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)))) 475.130 * * [simplify]: iters left: 6 (16 enodes) 475.135 * * [simplify]: iters left: 5 (63 enodes) 475.144 * * [simplify]: iters left: 4 (94 enodes) 475.161 * * [simplify]: iters left: 3 (179 enodes) 475.197 * * [simplify]: iters left: 2 (303 enodes) 475.262 * * [simplify]: iters left: 1 (423 enodes) 475.362 * * [simplify]: Extracting #0: cost 1 inf + 0 475.362 * * [simplify]: Extracting #1: cost 0 inf + 1 475.362 * [simplify]: Simplified to 0 475.362 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 475.362 * * * * [progress]: [ 848 / 2246 ] simplifiying candidate # 475.362 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 475.363 * * [simplify]: iters left: 6 (18 enodes) 475.367 * * [simplify]: iters left: 5 (67 enodes) 475.378 * * [simplify]: iters left: 4 (123 enodes) 475.401 * * [simplify]: iters left: 3 (214 enodes) 475.451 * * [simplify]: iters left: 2 (377 enodes) 475.550 * * [simplify]: Extracting #0: cost 1 inf + 0 475.551 * * [simplify]: Extracting #1: cost 13 inf + 0 475.551 * * [simplify]: Extracting #2: cost 65 inf + 0 475.551 * * [simplify]: Extracting #3: cost 115 inf + 3 475.551 * * [simplify]: Extracting #4: cost 111 inf + 285 475.552 * * [simplify]: Extracting #5: cost 104 inf + 1196 475.555 * * [simplify]: Extracting #6: cost 52 inf + 18548 475.563 * * [simplify]: Extracting #7: cost 0 inf + 40566 475.571 * * [simplify]: Extracting #8: cost 0 inf + 40206 475.578 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 475.579 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))))) 475.579 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1))) 475.579 * * [simplify]: iters left: 6 (15 enodes) 475.583 * * [simplify]: iters left: 5 (58 enodes) 475.592 * * [simplify]: iters left: 4 (100 enodes) 475.610 * * [simplify]: iters left: 3 (192 enodes) 475.653 * * [simplify]: iters left: 2 (333 enodes) 475.731 * * [simplify]: Extracting #0: cost 1 inf + 0 475.731 * * [simplify]: Extracting #1: cost 0 inf + 1 475.731 * [simplify]: Simplified to 0 475.731 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 0))) 475.732 * * * * [progress]: [ 849 / 2246 ] simplifiying candidate # 475.732 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 475.732 * * [simplify]: iters left: 6 (19 enodes) 475.736 * * [simplify]: iters left: 5 (71 enodes) 475.749 * * [simplify]: iters left: 4 (120 enodes) 475.768 * * [simplify]: iters left: 3 (174 enodes) 475.792 * * [simplify]: iters left: 2 (234 enodes) 475.828 * * [simplify]: iters left: 1 (298 enodes) 475.869 * * [simplify]: Extracting #0: cost 1 inf + 0 475.869 * * [simplify]: Extracting #1: cost 11 inf + 0 475.869 * * [simplify]: Extracting #2: cost 52 inf + 0 475.869 * * [simplify]: Extracting #3: cost 80 inf + 3 475.871 * * [simplify]: Extracting #4: cost 81 inf + 168 475.871 * * [simplify]: Extracting #5: cost 79 inf + 252 475.872 * * [simplify]: Extracting #6: cost 72 inf + 1176 475.873 * * [simplify]: Extracting #7: cost 54 inf + 5182 475.876 * * [simplify]: Extracting #8: cost 26 inf + 14726 475.882 * * [simplify]: Extracting #9: cost 0 inf + 24965 475.888 * * [simplify]: Extracting #10: cost 0 inf + 24963 475.894 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 475.894 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 475.894 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 475.894 * * [simplify]: iters left: 6 (16 enodes) 475.898 * * [simplify]: iters left: 5 (62 enodes) 475.907 * * [simplify]: iters left: 4 (99 enodes) 475.922 * * [simplify]: iters left: 3 (150 enodes) 475.945 * * [simplify]: iters left: 2 (222 enodes) 475.978 * * [simplify]: iters left: 1 (302 enodes) 476.023 * * [simplify]: Extracting #0: cost 1 inf + 0 476.023 * * [simplify]: Extracting #1: cost 0 inf + 1 476.023 * [simplify]: Simplified to 0 476.023 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 476.023 * * * * [progress]: [ 850 / 2246 ] simplifiying candidate # 476.023 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 476.023 * * [simplify]: iters left: 6 (17 enodes) 476.027 * * [simplify]: iters left: 5 (62 enodes) 476.036 * * [simplify]: iters left: 4 (91 enodes) 476.049 * * [simplify]: iters left: 3 (123 enodes) 476.066 * * [simplify]: iters left: 2 (159 enodes) 476.089 * * [simplify]: iters left: 1 (194 enodes) 476.114 * * [simplify]: Extracting #0: cost 1 inf + 0 476.114 * * [simplify]: Extracting #1: cost 9 inf + 0 476.115 * * [simplify]: Extracting #2: cost 43 inf + 0 476.115 * * [simplify]: Extracting #3: cost 64 inf + 3 476.115 * * [simplify]: Extracting #4: cost 64 inf + 249 476.115 * * [simplify]: Extracting #5: cost 56 inf + 1273 476.117 * * [simplify]: Extracting #6: cost 26 inf + 8732 476.120 * * [simplify]: Extracting #7: cost 1 inf + 16543 476.124 * * [simplify]: Extracting #8: cost 0 inf + 16881 476.128 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 476.128 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 476.128 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 476.129 * * [simplify]: iters left: 6 (14 enodes) 476.132 * * [simplify]: iters left: 5 (54 enodes) 476.141 * * [simplify]: iters left: 4 (77 enodes) 476.152 * * [simplify]: iters left: 3 (106 enodes) 476.166 * * [simplify]: iters left: 2 (137 enodes) 476.184 * * [simplify]: iters left: 1 (167 enodes) 476.206 * * [simplify]: Extracting #0: cost 1 inf + 0 476.206 * * [simplify]: Extracting #1: cost 0 inf + 1 476.206 * [simplify]: Simplified to 0 476.206 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 476.206 * * * * [progress]: [ 851 / 2246 ] simplifiying candidate # 476.206 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 476.206 * * [simplify]: iters left: 6 (17 enodes) 476.210 * * [simplify]: iters left: 5 (62 enodes) 476.219 * * [simplify]: iters left: 4 (95 enodes) 476.234 * * [simplify]: iters left: 3 (146 enodes) 476.255 * * [simplify]: iters left: 2 (191 enodes) 476.287 * * [simplify]: iters left: 1 (255 enodes) 476.326 * * [simplify]: Extracting #0: cost 1 inf + 0 476.326 * * [simplify]: Extracting #1: cost 11 inf + 0 476.326 * * [simplify]: Extracting #2: cost 43 inf + 0 476.326 * * [simplify]: Extracting #3: cost 60 inf + 3 476.326 * * [simplify]: Extracting #4: cost 56 inf + 640 476.327 * * [simplify]: Extracting #5: cost 42 inf + 2963 476.331 * * [simplify]: Extracting #6: cost 10 inf + 11772 476.335 * * [simplify]: Extracting #7: cost 0 inf + 14513 476.339 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 476.339 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))))) 476.339 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1))) 476.339 * * [simplify]: iters left: 6 (14 enodes) 476.342 * * [simplify]: iters left: 5 (53 enodes) 476.350 * * [simplify]: iters left: 4 (78 enodes) 476.362 * * [simplify]: iters left: 3 (126 enodes) 476.381 * * [simplify]: iters left: 2 (171 enodes) 476.409 * * [simplify]: iters left: 1 (225 enodes) 476.437 * * [simplify]: Extracting #0: cost 1 inf + 0 476.437 * * [simplify]: Extracting #1: cost 0 inf + 1 476.437 * [simplify]: Simplified to 0 476.437 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 0))) 476.437 * * * * [progress]: [ 852 / 2246 ] simplifiying candidate # 476.438 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 476.438 * * [simplify]: iters left: 6 (19 enodes) 476.443 * * [simplify]: iters left: 5 (71 enodes) 476.453 * * [simplify]: iters left: 4 (101 enodes) 476.469 * * [simplify]: iters left: 3 (140 enodes) 476.487 * * [simplify]: iters left: 2 (182 enodes) 476.512 * * [simplify]: iters left: 1 (219 enodes) 476.544 * * [simplify]: Extracting #0: cost 1 inf + 0 476.545 * * [simplify]: Extracting #1: cost 11 inf + 0 476.545 * * [simplify]: Extracting #2: cost 44 inf + 0 476.545 * * [simplify]: Extracting #3: cost 59 inf + 3 476.545 * * [simplify]: Extracting #4: cost 52 inf + 698 476.546 * * [simplify]: Extracting #5: cost 42 inf + 2536 476.547 * * [simplify]: Extracting #6: cost 20 inf + 8054 476.550 * * [simplify]: Extracting #7: cost 1 inf + 13676 476.554 * * [simplify]: Extracting #8: cost 0 inf + 14013 476.557 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 476.557 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))))) 476.558 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)))) 476.558 * * [simplify]: iters left: 6 (15 enodes) 476.562 * * [simplify]: iters left: 5 (58 enodes) 476.570 * * [simplify]: iters left: 4 (84 enodes) 476.583 * * [simplify]: iters left: 3 (133 enodes) 476.603 * * [simplify]: iters left: 2 (175 enodes) 476.624 * * [simplify]: iters left: 1 (209 enodes) 476.651 * * [simplify]: Extracting #0: cost 1 inf + 0 476.651 * * [simplify]: Extracting #1: cost 0 inf + 1 476.651 * [simplify]: Simplified to 0 476.651 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 476.651 * * * * [progress]: [ 853 / 2246 ] simplifiying candidate # 476.652 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 476.652 * * [simplify]: iters left: 6 (19 enodes) 476.659 * * [simplify]: iters left: 5 (71 enodes) 476.668 * * [simplify]: iters left: 4 (101 enodes) 476.683 * * [simplify]: iters left: 3 (140 enodes) 476.701 * * [simplify]: iters left: 2 (182 enodes) 476.727 * * [simplify]: iters left: 1 (219 enodes) 476.758 * * [simplify]: Extracting #0: cost 1 inf + 0 476.758 * * [simplify]: Extracting #1: cost 11 inf + 0 476.759 * * [simplify]: Extracting #2: cost 44 inf + 0 476.759 * * [simplify]: Extracting #3: cost 59 inf + 3 476.759 * * [simplify]: Extracting #4: cost 52 inf + 698 476.759 * * [simplify]: Extracting #5: cost 42 inf + 2536 476.761 * * [simplify]: Extracting #6: cost 20 inf + 8054 476.764 * * [simplify]: Extracting #7: cost 1 inf + 13676 476.768 * * [simplify]: Extracting #8: cost 0 inf + 14013 476.771 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 476.771 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))))) 476.772 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)))) 476.772 * * [simplify]: iters left: 6 (15 enodes) 476.776 * * [simplify]: iters left: 5 (58 enodes) 476.784 * * [simplify]: iters left: 4 (84 enodes) 476.799 * * [simplify]: iters left: 3 (133 enodes) 476.817 * * [simplify]: iters left: 2 (175 enodes) 476.838 * * [simplify]: iters left: 1 (209 enodes) 476.867 * * [simplify]: Extracting #0: cost 1 inf + 0 476.867 * * [simplify]: Extracting #1: cost 0 inf + 1 476.867 * [simplify]: Simplified to 0 476.867 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 476.867 * * * * [progress]: [ 854 / 2246 ] simplifiying candidate # 476.867 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 476.867 * * [simplify]: iters left: 6 (17 enodes) 476.871 * * [simplify]: iters left: 5 (62 enodes) 476.881 * * [simplify]: iters left: 4 (95 enodes) 476.896 * * [simplify]: iters left: 3 (146 enodes) 476.916 * * [simplify]: iters left: 2 (191 enodes) 476.949 * * [simplify]: iters left: 1 (255 enodes) 476.989 * * [simplify]: Extracting #0: cost 1 inf + 0 476.989 * * [simplify]: Extracting #1: cost 11 inf + 0 476.989 * * [simplify]: Extracting #2: cost 43 inf + 0 476.989 * * [simplify]: Extracting #3: cost 60 inf + 3 476.989 * * [simplify]: Extracting #4: cost 56 inf + 640 476.990 * * [simplify]: Extracting #5: cost 42 inf + 2963 476.993 * * [simplify]: Extracting #6: cost 10 inf + 11772 476.996 * * [simplify]: Extracting #7: cost 0 inf + 14513 477.000 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 477.000 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))))) 477.001 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1))) 477.001 * * [simplify]: iters left: 6 (14 enodes) 477.004 * * [simplify]: iters left: 5 (53 enodes) 477.012 * * [simplify]: iters left: 4 (78 enodes) 477.024 * * [simplify]: iters left: 3 (126 enodes) 477.042 * * [simplify]: iters left: 2 (171 enodes) 477.071 * * [simplify]: iters left: 1 (225 enodes) 477.099 * * [simplify]: Extracting #0: cost 1 inf + 0 477.099 * * [simplify]: Extracting #1: cost 0 inf + 1 477.099 * [simplify]: Simplified to 0 477.099 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 0))) 477.099 * * * * [progress]: [ 855 / 2246 ] simplifiying candidate # 477.099 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 477.100 * * [simplify]: iters left: 6 (24 enodes) 477.105 * * [simplify]: iters left: 5 (96 enodes) 477.122 * * [simplify]: iters left: 4 (226 enodes) 477.186 * * [simplify]: Extracting #0: cost 1 inf + 0 477.187 * * [simplify]: Extracting #1: cost 11 inf + 0 477.187 * * [simplify]: Extracting #2: cost 147 inf + 0 477.188 * * [simplify]: Extracting #3: cost 259 inf + 44 477.189 * * [simplify]: Extracting #4: cost 257 inf + 811 477.190 * * [simplify]: Extracting #5: cost 240 inf + 4566 477.193 * * [simplify]: Extracting #6: cost 178 inf + 29962 477.212 * * [simplify]: Extracting #7: cost 32 inf + 112470 477.235 * * [simplify]: Extracting #8: cost 0 inf + 131886 477.262 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 477.262 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 477.262 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 477.262 * * [simplify]: iters left: 6 (21 enodes) 477.267 * * [simplify]: iters left: 5 (87 enodes) 477.282 * * [simplify]: iters left: 4 (200 enodes) 477.341 * * [simplify]: Extracting #0: cost 1 inf + 0 477.341 * * [simplify]: Extracting #1: cost 25 inf + 0 477.341 * * [simplify]: Extracting #2: cost 150 inf + 0 477.342 * * [simplify]: Extracting #3: cost 243 inf + 1 477.343 * * [simplify]: Extracting #4: cost 245 inf + 365 477.344 * * [simplify]: Extracting #5: cost 226 inf + 4202 477.345 * * [simplify]: Extracting #6: cost 200 inf + 13225 477.350 * * [simplify]: Extracting #7: cost 154 inf + 36777 477.369 * * [simplify]: Extracting #8: cost 20 inf + 116269 477.394 * * [simplify]: Extracting #9: cost 0 inf + 128603 477.417 * [simplify]: Simplified to (- (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 477.417 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) (- (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 477.418 * * * * [progress]: [ 856 / 2246 ] simplifiying candidate # 477.418 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 477.418 * * [simplify]: iters left: 6 (23 enodes) 477.424 * * [simplify]: iters left: 5 (91 enodes) 477.439 * * [simplify]: iters left: 4 (190 enodes) 477.485 * * [simplify]: Extracting #0: cost 1 inf + 0 477.485 * * [simplify]: Extracting #1: cost 11 inf + 0 477.485 * * [simplify]: Extracting #2: cost 110 inf + 0 477.486 * * [simplify]: Extracting #3: cost 187 inf + 43 477.486 * * [simplify]: Extracting #4: cost 186 inf + 529 477.487 * * [simplify]: Extracting #5: cost 169 inf + 4147 477.489 * * [simplify]: Extracting #6: cost 134 inf + 14800 477.493 * * [simplify]: Extracting #7: cost 98 inf + 30528 477.506 * * [simplify]: Extracting #8: cost 16 inf + 74684 477.520 * * [simplify]: Extracting #9: cost 0 inf + 83612 477.795 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) 477.795 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 477.796 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 477.796 * * [simplify]: iters left: 6 (20 enodes) 477.801 * * [simplify]: iters left: 5 (82 enodes) 477.814 * * [simplify]: iters left: 4 (166 enodes) 477.853 * * [simplify]: Extracting #0: cost 1 inf + 0 477.853 * * [simplify]: Extracting #1: cost 22 inf + 0 477.853 * * [simplify]: Extracting #2: cost 106 inf + 0 477.854 * * [simplify]: Extracting #3: cost 175 inf + 0 477.854 * * [simplify]: Extracting #4: cost 174 inf + 286 477.855 * * [simplify]: Extracting #5: cost 165 inf + 2060 477.859 * * [simplify]: Extracting #6: cost 133 inf + 12055 477.860 * * [simplify]: Extracting #7: cost 124 inf + 14115 477.866 * * [simplify]: Extracting #8: cost 61 inf + 47169 477.880 * * [simplify]: Extracting #9: cost 3 inf + 80053 477.894 * * [simplify]: Extracting #10: cost 0 inf + 81907 477.908 * [simplify]: Simplified to (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 477.908 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))))))) 477.909 * * * * [progress]: [ 857 / 2246 ] simplifiying candidate # 477.909 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 477.909 * * [simplify]: iters left: 6 (22 enodes) 477.915 * * [simplify]: iters left: 5 (85 enodes) 477.929 * * [simplify]: iters left: 4 (197 enodes) 477.980 * * [simplify]: Extracting #0: cost 1 inf + 0 477.980 * * [simplify]: Extracting #1: cost 13 inf + 0 477.980 * * [simplify]: Extracting #2: cost 110 inf + 0 477.980 * * [simplify]: Extracting #3: cost 175 inf + 84 477.981 * * [simplify]: Extracting #4: cost 171 inf + 1506 477.982 * * [simplify]: Extracting #5: cost 152 inf + 5916 477.986 * * [simplify]: Extracting #6: cost 76 inf + 33950 477.999 * * [simplify]: Extracting #7: cost 6 inf + 66170 478.011 * * [simplify]: Extracting #8: cost 0 inf + 69158 478.023 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 478.023 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 478.024 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 478.024 * * [simplify]: iters left: 6 (19 enodes) 478.029 * * [simplify]: iters left: 5 (76 enodes) 478.042 * * [simplify]: iters left: 4 (173 enodes) 478.087 * * [simplify]: Extracting #0: cost 1 inf + 0 478.088 * * [simplify]: Extracting #1: cost 14 inf + 0 478.088 * * [simplify]: Extracting #2: cost 90 inf + 0 478.088 * * [simplify]: Extracting #3: cost 150 inf + 1 478.089 * * [simplify]: Extracting #4: cost 151 inf + 286 478.089 * * [simplify]: Extracting #5: cost 139 inf + 2371 478.091 * * [simplify]: Extracting #6: cost 93 inf + 16977 478.099 * * [simplify]: Extracting #7: cost 13 inf + 53665 478.109 * * [simplify]: Extracting #8: cost 0 inf + 59778 478.119 * [simplify]: Simplified to (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 478.119 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 478.119 * * * * [progress]: [ 858 / 2246 ] simplifiying candidate # 478.120 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 478.120 * * [simplify]: iters left: 6 (24 enodes) 478.126 * * [simplify]: iters left: 5 (95 enodes) 478.143 * * [simplify]: iters left: 4 (164 enodes) 478.178 * * [simplify]: iters left: 3 (425 enodes) 478.348 * * [simplify]: Extracting #0: cost 1 inf + 0 478.348 * * [simplify]: Extracting #1: cost 19 inf + 0 478.348 * * [simplify]: Extracting #2: cost 168 inf + 0 478.349 * * [simplify]: Extracting #3: cost 280 inf + 166 478.350 * * [simplify]: Extracting #4: cost 281 inf + 773 478.352 * * [simplify]: Extracting #5: cost 250 inf + 7785 478.362 * * [simplify]: Extracting #6: cost 145 inf + 47550 478.384 * * [simplify]: Extracting #7: cost 14 inf + 108163 478.409 * * [simplify]: Extracting #8: cost 0 inf + 115270 478.433 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) 478.434 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 478.434 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 478.434 * * [simplify]: iters left: 6 (20 enodes) 478.440 * * [simplify]: iters left: 5 (82 enodes) 478.453 * * [simplify]: iters left: 4 (138 enodes) 478.484 * * [simplify]: iters left: 3 (402 enodes) 478.660 * * [simplify]: Extracting #0: cost 1 inf + 0 478.660 * * [simplify]: Extracting #1: cost 0 inf + 1 478.660 * [simplify]: Simplified to 0 478.660 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 0))) 478.660 * * * * [progress]: [ 859 / 2246 ] simplifiying candidate # 478.660 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 478.661 * * [simplify]: iters left: 6 (24 enodes) 478.667 * * [simplify]: iters left: 5 (95 enodes) 478.682 * * [simplify]: iters left: 4 (164 enodes) 478.716 * * [simplify]: iters left: 3 (425 enodes) 478.888 * * [simplify]: Extracting #0: cost 1 inf + 0 478.888 * * [simplify]: Extracting #1: cost 19 inf + 0 478.889 * * [simplify]: Extracting #2: cost 168 inf + 0 478.890 * * [simplify]: Extracting #3: cost 280 inf + 166 478.891 * * [simplify]: Extracting #4: cost 281 inf + 773 478.892 * * [simplify]: Extracting #5: cost 250 inf + 7785 478.900 * * [simplify]: Extracting #6: cost 145 inf + 47550 478.922 * * [simplify]: Extracting #7: cost 14 inf + 108163 478.949 * * [simplify]: Extracting #8: cost 0 inf + 115270 478.974 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) 478.974 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 478.975 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 478.975 * * [simplify]: iters left: 6 (20 enodes) 478.980 * * [simplify]: iters left: 5 (82 enodes) 478.993 * * [simplify]: iters left: 4 (138 enodes) 479.026 * * [simplify]: iters left: 3 (402 enodes) 479.200 * * [simplify]: Extracting #0: cost 1 inf + 0 479.200 * * [simplify]: Extracting #1: cost 0 inf + 1 479.200 * [simplify]: Simplified to 0 479.201 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 0))) 479.201 * * * * [progress]: [ 860 / 2246 ] simplifiying candidate # 479.201 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 479.201 * * [simplify]: iters left: 6 (22 enodes) 479.206 * * [simplify]: iters left: 5 (85 enodes) 479.221 * * [simplify]: iters left: 4 (197 enodes) 479.297 * * [simplify]: Extracting #0: cost 1 inf + 0 479.297 * * [simplify]: Extracting #1: cost 13 inf + 0 479.297 * * [simplify]: Extracting #2: cost 110 inf + 0 479.298 * * [simplify]: Extracting #3: cost 175 inf + 84 479.299 * * [simplify]: Extracting #4: cost 171 inf + 1506 479.301 * * [simplify]: Extracting #5: cost 152 inf + 5916 479.308 * * [simplify]: Extracting #6: cost 76 inf + 33950 479.326 * * [simplify]: Extracting #7: cost 6 inf + 66170 479.347 * * [simplify]: Extracting #8: cost 0 inf + 69158 479.367 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 479.367 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 479.368 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 479.368 * * [simplify]: iters left: 6 (19 enodes) 479.375 * * [simplify]: iters left: 5 (76 enodes) 479.395 * * [simplify]: iters left: 4 (173 enodes) 479.468 * * [simplify]: Extracting #0: cost 1 inf + 0 479.468 * * [simplify]: Extracting #1: cost 14 inf + 0 479.468 * * [simplify]: Extracting #2: cost 90 inf + 0 479.469 * * [simplify]: Extracting #3: cost 150 inf + 1 479.470 * * [simplify]: Extracting #4: cost 151 inf + 286 479.470 * * [simplify]: Extracting #5: cost 139 inf + 2371 479.473 * * [simplify]: Extracting #6: cost 93 inf + 16977 479.485 * * [simplify]: Extracting #7: cost 13 inf + 53665 479.502 * * [simplify]: Extracting #8: cost 0 inf + 59778 479.518 * [simplify]: Simplified to (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 479.519 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 479.519 * * * * [progress]: [ 861 / 2246 ] simplifiying candidate # 479.519 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 479.519 * * [simplify]: iters left: 6 (23 enodes) 479.528 * * [simplify]: iters left: 5 (90 enodes) 479.551 * * [simplify]: iters left: 4 (195 enodes) 479.625 * * [simplify]: Extracting #0: cost 1 inf + 0 479.625 * * [simplify]: Extracting #1: cost 11 inf + 0 479.625 * * [simplify]: Extracting #2: cost 107 inf + 0 479.626 * * [simplify]: Extracting #3: cost 184 inf + 84 479.627 * * [simplify]: Extracting #4: cost 183 inf + 689 479.628 * * [simplify]: Extracting #5: cost 168 inf + 3576 479.630 * * [simplify]: Extracting #6: cost 145 inf + 9687 479.635 * * [simplify]: Extracting #7: cost 118 inf + 22093 479.655 * * [simplify]: Extracting #8: cost 19 inf + 76755 479.684 * * [simplify]: Extracting #9: cost 0 inf + 86377 479.710 * * [simplify]: Extracting #10: cost 0 inf + 86337 479.737 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt 1/2) (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 479.737 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt 1/2) (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 479.738 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 479.738 * * [simplify]: iters left: 6 (20 enodes) 479.745 * * [simplify]: iters left: 5 (81 enodes) 479.766 * * [simplify]: iters left: 4 (169 enodes) 479.832 * * [simplify]: Extracting #0: cost 1 inf + 0 479.832 * * [simplify]: Extracting #1: cost 22 inf + 0 479.833 * * [simplify]: Extracting #2: cost 104 inf + 0 479.833 * * [simplify]: Extracting #3: cost 169 inf + 0 479.834 * * [simplify]: Extracting #4: cost 160 inf + 1174 479.836 * * [simplify]: Extracting #5: cost 140 inf + 5986 479.838 * * [simplify]: Extracting #6: cost 136 inf + 7316 479.840 * * [simplify]: Extracting #7: cost 132 inf + 7868 479.847 * * [simplify]: Extracting #8: cost 72 inf + 39468 479.871 * * [simplify]: Extracting #9: cost 3 inf + 80030 479.895 * * [simplify]: Extracting #10: cost 0 inf + 81164 479.922 * * [simplify]: Extracting #11: cost 0 inf + 80644 479.947 * * [simplify]: Extracting #12: cost 0 inf + 80484 479.972 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) 479.972 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))))))) 479.973 * * * * [progress]: [ 862 / 2246 ] simplifiying candidate # 479.973 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 479.973 * * [simplify]: iters left: 6 (22 enodes) 479.981 * * [simplify]: iters left: 5 (84 enodes) 480.002 * * [simplify]: iters left: 4 (162 enodes) 480.057 * * [simplify]: iters left: 3 (425 enodes) 480.271 * * [simplify]: Extracting #0: cost 1 inf + 0 480.271 * * [simplify]: Extracting #1: cost 11 inf + 0 480.271 * * [simplify]: Extracting #2: cost 132 inf + 0 480.273 * * [simplify]: Extracting #3: cost 248 inf + 125 480.275 * * [simplify]: Extracting #4: cost 249 inf + 571 480.277 * * [simplify]: Extracting #5: cost 228 inf + 5021 480.284 * * [simplify]: Extracting #6: cost 175 inf + 24559 480.317 * * [simplify]: Extracting #7: cost 40 inf + 87629 480.354 * * [simplify]: Extracting #8: cost 0 inf + 107709 480.379 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 480.379 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 480.380 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 480.380 * * [simplify]: iters left: 6 (19 enodes) 480.385 * * [simplify]: iters left: 5 (75 enodes) 480.396 * * [simplify]: iters left: 4 (138 enodes) 480.425 * * [simplify]: iters left: 3 (364 enodes) 480.548 * * [simplify]: Extracting #0: cost 1 inf + 0 480.548 * * [simplify]: Extracting #1: cost 0 inf + 1 480.548 * [simplify]: Simplified to 0 480.548 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 480.548 * * * * [progress]: [ 863 / 2246 ] simplifiying candidate # 480.548 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 480.548 * * [simplify]: iters left: 6 (21 enodes) 480.553 * * [simplify]: iters left: 5 (80 enodes) 480.566 * * [simplify]: iters left: 4 (153 enodes) 480.601 * * [simplify]: iters left: 3 (376 enodes) 480.742 * * [simplify]: Extracting #0: cost 1 inf + 0 480.742 * * [simplify]: Extracting #1: cost 11 inf + 0 480.742 * * [simplify]: Extracting #2: cost 110 inf + 0 480.743 * * [simplify]: Extracting #3: cost 187 inf + 84 480.744 * * [simplify]: Extracting #4: cost 189 inf + 369 480.745 * * [simplify]: Extracting #5: cost 168 inf + 3970 480.751 * * [simplify]: Extracting #6: cost 89 inf + 29769 480.766 * * [simplify]: Extracting #7: cost 6 inf + 64908 480.783 * * [simplify]: Extracting #8: cost 0 inf + 67846 480.800 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 480.800 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))))) 480.801 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1))) 480.801 * * [simplify]: iters left: 6 (18 enodes) 480.806 * * [simplify]: iters left: 5 (71 enodes) 480.819 * * [simplify]: iters left: 4 (130 enodes) 480.847 * * [simplify]: iters left: 3 (341 enodes) 480.970 * * [simplify]: Extracting #0: cost 1 inf + 0 480.970 * * [simplify]: Extracting #1: cost 0 inf + 1 480.970 * [simplify]: Simplified to 0 480.970 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 0))) 480.971 * * * * [progress]: [ 864 / 2246 ] simplifiying candidate # 480.971 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) 480.971 * * [simplify]: iters left: 6 (23 enodes) 480.977 * * [simplify]: iters left: 5 (89 enodes) 480.993 * * [simplify]: iters left: 4 (141 enodes) 481.019 * * [simplify]: iters left: 3 (320 enodes) 481.116 * * [simplify]: Extracting #0: cost 1 inf + 0 481.116 * * [simplify]: Extracting #1: cost 11 inf + 0 481.116 * * [simplify]: Extracting #2: cost 83 inf + 0 481.117 * * [simplify]: Extracting #3: cost 169 inf + 2 481.118 * * [simplify]: Extracting #4: cost 169 inf + 1178 481.118 * * [simplify]: Extracting #5: cost 158 inf + 2992 481.120 * * [simplify]: Extracting #6: cost 134 inf + 10480 481.131 * * [simplify]: Extracting #7: cost 21 inf + 53496 481.146 * * [simplify]: Extracting #8: cost 0 inf + 61499 481.160 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 481.160 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))))) 481.161 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)))) 481.161 * * [simplify]: iters left: 6 (19 enodes) 481.166 * * [simplify]: iters left: 5 (76 enodes) 481.179 * * [simplify]: iters left: 4 (115 enodes) 481.201 * * [simplify]: iters left: 3 (283 enodes) 481.295 * * [simplify]: Extracting #0: cost 1 inf + 0 481.295 * * [simplify]: Extracting #1: cost 28 inf + 0 481.296 * * [simplify]: Extracting #2: cost 102 inf + 1 481.296 * * [simplify]: Extracting #3: cost 142 inf + 691 481.297 * * [simplify]: Extracting #4: cost 131 inf + 3683 481.299 * * [simplify]: Extracting #5: cost 102 inf + 11388 481.302 * * [simplify]: Extracting #6: cost 97 inf + 12896 481.308 * * [simplify]: Extracting #7: cost 45 inf + 33427 481.321 * * [simplify]: Extracting #8: cost 0 inf + 53907 481.334 * * [simplify]: Extracting #9: cost 0 inf + 53757 481.347 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 481.347 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 481.347 * * * * [progress]: [ 865 / 2246 ] simplifiying candidate # 481.348 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) 481.348 * * [simplify]: iters left: 6 (23 enodes) 481.354 * * [simplify]: iters left: 5 (89 enodes) 481.369 * * [simplify]: iters left: 4 (141 enodes) 481.395 * * [simplify]: iters left: 3 (320 enodes) 481.493 * * [simplify]: Extracting #0: cost 1 inf + 0 481.493 * * [simplify]: Extracting #1: cost 11 inf + 0 481.493 * * [simplify]: Extracting #2: cost 83 inf + 0 481.494 * * [simplify]: Extracting #3: cost 169 inf + 2 481.494 * * [simplify]: Extracting #4: cost 169 inf + 1178 481.495 * * [simplify]: Extracting #5: cost 158 inf + 2992 481.497 * * [simplify]: Extracting #6: cost 134 inf + 10480 481.508 * * [simplify]: Extracting #7: cost 21 inf + 53496 481.522 * * [simplify]: Extracting #8: cost 0 inf + 61499 481.537 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 481.537 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))))) 481.537 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)))) 481.537 * * [simplify]: iters left: 6 (19 enodes) 481.542 * * [simplify]: iters left: 5 (76 enodes) 481.554 * * [simplify]: iters left: 4 (115 enodes) 481.577 * * [simplify]: iters left: 3 (283 enodes) 481.670 * * [simplify]: Extracting #0: cost 1 inf + 0 481.670 * * [simplify]: Extracting #1: cost 28 inf + 0 481.670 * * [simplify]: Extracting #2: cost 102 inf + 1 481.671 * * [simplify]: Extracting #3: cost 142 inf + 691 481.672 * * [simplify]: Extracting #4: cost 131 inf + 3683 481.676 * * [simplify]: Extracting #5: cost 102 inf + 11388 481.679 * * [simplify]: Extracting #6: cost 97 inf + 12896 481.685 * * [simplify]: Extracting #7: cost 45 inf + 33427 481.698 * * [simplify]: Extracting #8: cost 0 inf + 53907 481.711 * * [simplify]: Extracting #9: cost 0 inf + 53757 481.724 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 481.724 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 481.724 * * * * [progress]: [ 866 / 2246 ] simplifiying candidate # 481.725 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 481.725 * * [simplify]: iters left: 6 (21 enodes) 481.730 * * [simplify]: iters left: 5 (80 enodes) 481.743 * * [simplify]: iters left: 4 (153 enodes) 481.776 * * [simplify]: iters left: 3 (376 enodes) 481.916 * * [simplify]: Extracting #0: cost 1 inf + 0 481.916 * * [simplify]: Extracting #1: cost 11 inf + 0 481.917 * * [simplify]: Extracting #2: cost 110 inf + 0 481.917 * * [simplify]: Extracting #3: cost 187 inf + 84 481.918 * * [simplify]: Extracting #4: cost 189 inf + 369 481.919 * * [simplify]: Extracting #5: cost 168 inf + 3970 481.925 * * [simplify]: Extracting #6: cost 89 inf + 29769 481.940 * * [simplify]: Extracting #7: cost 6 inf + 64908 481.957 * * [simplify]: Extracting #8: cost 0 inf + 67846 481.975 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 481.975 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))))) 481.975 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1))) 481.975 * * [simplify]: iters left: 6 (18 enodes) 481.980 * * [simplify]: iters left: 5 (71 enodes) 481.992 * * [simplify]: iters left: 4 (130 enodes) 482.019 * * [simplify]: iters left: 3 (341 enodes) 482.143 * * [simplify]: Extracting #0: cost 1 inf + 0 482.143 * * [simplify]: Extracting #1: cost 0 inf + 1 482.143 * [simplify]: Simplified to 0 482.143 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 0))) 482.143 * * * * [progress]: [ 867 / 2246 ] simplifiying candidate # 482.143 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 482.143 * * [simplify]: iters left: 6 (22 enodes) 482.149 * * [simplify]: iters left: 5 (85 enodes) 482.166 * * [simplify]: iters left: 4 (187 enodes) 482.209 * * [simplify]: Extracting #0: cost 1 inf + 0 482.209 * * [simplify]: Extracting #1: cost 11 inf + 0 482.209 * * [simplify]: Extracting #2: cost 91 inf + 0 482.210 * * [simplify]: Extracting #3: cost 154 inf + 2 482.210 * * [simplify]: Extracting #4: cost 143 inf + 1153 482.211 * * [simplify]: Extracting #5: cost 122 inf + 5735 482.212 * * [simplify]: Extracting #6: cost 122 inf + 5833 482.213 * * [simplify]: Extracting #7: cost 117 inf + 6603 482.218 * * [simplify]: Extracting #8: cost 62 inf + 31553 482.231 * * [simplify]: Extracting #9: cost 3 inf + 61855 482.244 * * [simplify]: Extracting #10: cost 0 inf + 63229 482.257 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (hypot 1 x))) 482.257 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (hypot 1 x))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 482.258 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 482.258 * * [simplify]: iters left: 6 (19 enodes) 482.263 * * [simplify]: iters left: 5 (76 enodes) 482.275 * * [simplify]: iters left: 4 (163 enodes) 482.316 * * [simplify]: iters left: 3 (466 enodes) 482.526 * * [simplify]: Extracting #0: cost 1 inf + 0 482.526 * * [simplify]: Extracting #1: cost 0 inf + 1 482.526 * [simplify]: Simplified to 0 482.526 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 482.526 * * * * [progress]: [ 868 / 2246 ] simplifiying candidate # 482.526 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 482.527 * * [simplify]: iters left: 6 (21 enodes) 482.532 * * [simplify]: iters left: 5 (80 enodes) 482.545 * * [simplify]: iters left: 4 (154 enodes) 482.580 * * [simplify]: iters left: 3 (378 enodes) 482.707 * * [simplify]: Extracting #0: cost 1 inf + 0 482.707 * * [simplify]: Extracting #1: cost 11 inf + 0 482.708 * * [simplify]: Extracting #2: cost 102 inf + 0 482.708 * * [simplify]: Extracting #3: cost 200 inf + 126 482.709 * * [simplify]: Extracting #4: cost 187 inf + 1956 482.711 * * [simplify]: Extracting #5: cost 154 inf + 8176 482.714 * * [simplify]: Extracting #6: cost 119 inf + 19392 482.728 * * [simplify]: Extracting #7: cost 22 inf + 61820 482.747 * * [simplify]: Extracting #8: cost 0 inf + 70920 482.765 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 482.765 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 482.766 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 482.766 * * [simplify]: iters left: 6 (18 enodes) 482.770 * * [simplify]: iters left: 5 (71 enodes) 482.782 * * [simplify]: iters left: 4 (132 enodes) 482.809 * * [simplify]: iters left: 3 (327 enodes) 482.923 * * [simplify]: Extracting #0: cost 1 inf + 0 482.923 * * [simplify]: Extracting #1: cost 0 inf + 1 482.923 * [simplify]: Simplified to 0 482.923 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 482.923 * * * * [progress]: [ 869 / 2246 ] simplifiying candidate # 482.924 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 482.924 * * [simplify]: iters left: 6 (20 enodes) 482.929 * * [simplify]: iters left: 5 (71 enodes) 482.940 * * [simplify]: iters left: 4 (139 enodes) 482.966 * * [simplify]: iters left: 3 (301 enodes) 483.055 * * [simplify]: Extracting #0: cost 1 inf + 0 483.055 * * [simplify]: Extracting #1: cost 13 inf + 0 483.056 * * [simplify]: Extracting #2: cost 116 inf + 0 483.056 * * [simplify]: Extracting #3: cost 155 inf + 85 483.057 * * [simplify]: Extracting #4: cost 144 inf + 1577 483.058 * * [simplify]: Extracting #5: cost 111 inf + 8474 483.065 * * [simplify]: Extracting #6: cost 32 inf + 37133 483.076 * * [simplify]: Extracting #7: cost 0 inf + 50000 483.086 * * [simplify]: Extracting #8: cost 0 inf + 49935 483.097 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 483.097 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))))) 483.098 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1))) 483.098 * * [simplify]: iters left: 6 (17 enodes) 483.104 * * [simplify]: iters left: 5 (62 enodes) 483.114 * * [simplify]: iters left: 4 (117 enodes) 483.135 * * [simplify]: iters left: 3 (259 enodes) 483.204 * * [simplify]: Extracting #0: cost 1 inf + 0 483.204 * * [simplify]: Extracting #1: cost 0 inf + 1 483.204 * [simplify]: Simplified to 0 483.204 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 0))) 483.204 * * * * [progress]: [ 870 / 2246 ] simplifiying candidate # 483.204 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 483.205 * * [simplify]: iters left: 6 (22 enodes) 483.211 * * [simplify]: iters left: 5 (84 enodes) 483.226 * * [simplify]: iters left: 4 (149 enodes) 483.252 * * [simplify]: iters left: 3 (323 enodes) 483.350 * * [simplify]: Extracting #0: cost 1 inf + 0 483.350 * * [simplify]: Extracting #1: cost 13 inf + 0 483.351 * * [simplify]: Extracting #2: cost 112 inf + 0 483.351 * * [simplify]: Extracting #3: cost 158 inf + 126 483.352 * * [simplify]: Extracting #4: cost 144 inf + 2207 483.354 * * [simplify]: Extracting #5: cost 111 inf + 8645 483.359 * * [simplify]: Extracting #6: cost 51 inf + 30397 483.369 * * [simplify]: Extracting #7: cost 5 inf + 48386 483.381 * * [simplify]: Extracting #8: cost 0 inf + 50176 483.392 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 483.392 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))))) 483.392 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)))) 483.393 * * [simplify]: iters left: 6 (18 enodes) 483.398 * * [simplify]: iters left: 5 (71 enodes) 483.411 * * [simplify]: iters left: 4 (123 enodes) 483.433 * * [simplify]: iters left: 3 (278 enodes) 483.509 * * [simplify]: Extracting #0: cost 1 inf + 0 483.509 * * [simplify]: Extracting #1: cost 0 inf + 1 483.509 * [simplify]: Simplified to 0 483.509 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 483.509 * * * * [progress]: [ 871 / 2246 ] simplifiying candidate # 483.510 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 483.510 * * [simplify]: iters left: 6 (22 enodes) 483.517 * * [simplify]: iters left: 5 (84 enodes) 483.531 * * [simplify]: iters left: 4 (149 enodes) 483.557 * * [simplify]: iters left: 3 (323 enodes) 483.655 * * [simplify]: Extracting #0: cost 1 inf + 0 483.656 * * [simplify]: Extracting #1: cost 13 inf + 0 483.656 * * [simplify]: Extracting #2: cost 112 inf + 0 483.656 * * [simplify]: Extracting #3: cost 158 inf + 126 483.657 * * [simplify]: Extracting #4: cost 144 inf + 2207 483.659 * * [simplify]: Extracting #5: cost 111 inf + 8645 483.664 * * [simplify]: Extracting #6: cost 51 inf + 30397 483.675 * * [simplify]: Extracting #7: cost 5 inf + 48386 483.686 * * [simplify]: Extracting #8: cost 0 inf + 50176 483.697 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 483.697 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))))) 483.698 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)))) 483.698 * * [simplify]: iters left: 6 (18 enodes) 483.703 * * [simplify]: iters left: 5 (71 enodes) 483.715 * * [simplify]: iters left: 4 (123 enodes) 483.738 * * [simplify]: iters left: 3 (278 enodes) 483.813 * * [simplify]: Extracting #0: cost 1 inf + 0 483.813 * * [simplify]: Extracting #1: cost 0 inf + 1 483.813 * [simplify]: Simplified to 0 483.813 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 483.813 * * * * [progress]: [ 872 / 2246 ] simplifiying candidate # 483.814 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 483.814 * * [simplify]: iters left: 6 (20 enodes) 483.819 * * [simplify]: iters left: 5 (71 enodes) 483.833 * * [simplify]: iters left: 4 (139 enodes) 483.858 * * [simplify]: iters left: 3 (301 enodes) 483.947 * * [simplify]: Extracting #0: cost 1 inf + 0 483.948 * * [simplify]: Extracting #1: cost 13 inf + 0 483.948 * * [simplify]: Extracting #2: cost 116 inf + 0 483.948 * * [simplify]: Extracting #3: cost 155 inf + 85 483.949 * * [simplify]: Extracting #4: cost 144 inf + 1577 483.951 * * [simplify]: Extracting #5: cost 111 inf + 8474 483.957 * * [simplify]: Extracting #6: cost 32 inf + 37133 483.967 * * [simplify]: Extracting #7: cost 0 inf + 50000 483.978 * * [simplify]: Extracting #8: cost 0 inf + 49935 483.989 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 483.989 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))))) 483.990 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1))) 483.990 * * [simplify]: iters left: 6 (17 enodes) 483.994 * * [simplify]: iters left: 5 (62 enodes) 484.004 * * [simplify]: iters left: 4 (117 enodes) 484.027 * * [simplify]: iters left: 3 (259 enodes) 484.096 * * [simplify]: Extracting #0: cost 1 inf + 0 484.096 * * [simplify]: Extracting #1: cost 0 inf + 1 484.096 * [simplify]: Simplified to 0 484.096 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 0))) 484.096 * * * * [progress]: [ 873 / 2246 ] simplifiying candidate # 484.096 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 484.096 * * [simplify]: iters left: 6 (22 enodes) 484.101 * * [simplify]: iters left: 5 (87 enodes) 484.115 * * [simplify]: iters left: 4 (194 enodes) 484.165 * * [simplify]: Extracting #0: cost 1 inf + 0 484.165 * * [simplify]: Extracting #1: cost 11 inf + 0 484.166 * * [simplify]: Extracting #2: cost 107 inf + 0 484.166 * * [simplify]: Extracting #3: cost 194 inf + 84 484.167 * * [simplify]: Extracting #4: cost 194 inf + 488 484.167 * * [simplify]: Extracting #5: cost 187 inf + 2028 484.170 * * [simplify]: Extracting #6: cost 127 inf + 22963 484.183 * * [simplify]: Extracting #7: cost 23 inf + 77275 484.202 * * [simplify]: Extracting #8: cost 0 inf + 89609 484.219 * * [simplify]: Extracting #9: cost 0 inf + 89329 484.239 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 484.239 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 484.240 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 484.240 * * [simplify]: iters left: 6 (20 enodes) 484.248 * * [simplify]: iters left: 5 (80 enodes) 484.268 * * [simplify]: iters left: 4 (163 enodes) 484.328 * * [simplify]: iters left: 3 (493 enodes) 484.529 * * [simplify]: Extracting #0: cost 1 inf + 0 484.529 * * [simplify]: Extracting #1: cost 0 inf + 1 484.530 * [simplify]: Simplified to 0 484.530 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 484.530 * * * * [progress]: [ 874 / 2246 ] simplifiying candidate # 484.531 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 484.531 * * [simplify]: iters left: 6 (21 enodes) 484.536 * * [simplify]: iters left: 5 (82 enodes) 484.549 * * [simplify]: iters left: 4 (163 enodes) 484.584 * * [simplify]: iters left: 3 (446 enodes) 484.719 * * [simplify]: Extracting #0: cost 1 inf + 0 484.719 * * [simplify]: Extracting #1: cost 11 inf + 0 484.720 * * [simplify]: Extracting #2: cost 132 inf + 0 484.720 * * [simplify]: Extracting #3: cost 276 inf + 126 484.722 * * [simplify]: Extracting #4: cost 280 inf + 248 484.723 * * [simplify]: Extracting #5: cost 268 inf + 2822 484.726 * * [simplify]: Extracting #6: cost 214 inf + 16608 484.732 * * [simplify]: Extracting #7: cost 157 inf + 38918 484.751 * * [simplify]: Extracting #8: cost 35 inf + 97159 484.779 * * [simplify]: Extracting #9: cost 0 inf + 113553 484.804 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 484.804 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 484.805 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 484.805 * * [simplify]: iters left: 6 (19 enodes) 484.810 * * [simplify]: iters left: 5 (75 enodes) 484.821 * * [simplify]: iters left: 4 (134 enodes) 484.849 * * [simplify]: iters left: 3 (346 enodes) 484.946 * * [simplify]: Extracting #0: cost 1 inf + 0 484.946 * * [simplify]: Extracting #1: cost 0 inf + 1 484.946 * [simplify]: Simplified to 0 484.947 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 484.947 * * * * [progress]: [ 875 / 2246 ] simplifiying candidate # 484.947 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 484.947 * * [simplify]: iters left: 6 (20 enodes) 484.954 * * [simplify]: iters left: 5 (77 enodes) 484.966 * * [simplify]: iters left: 4 (140 enodes) 484.993 * * [simplify]: iters left: 3 (317 enodes) 485.081 * * [simplify]: Extracting #0: cost 1 inf + 0 485.082 * * [simplify]: Extracting #1: cost 14 inf + 0 485.082 * * [simplify]: Extracting #2: cost 94 inf + 0 485.082 * * [simplify]: Extracting #3: cost 174 inf + 125 485.083 * * [simplify]: Extracting #4: cost 173 inf + 654 485.084 * * [simplify]: Extracting #5: cost 155 inf + 4695 485.088 * * [simplify]: Extracting #6: cost 91 inf + 24943 485.100 * * [simplify]: Extracting #7: cost 5 inf + 60189 485.114 * * [simplify]: Extracting #8: cost 0 inf + 61510 485.127 * * [simplify]: Extracting #9: cost 0 inf + 61460 485.142 * [simplify]: Simplified to (+ (/ (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 485.142 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 485.143 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 485.143 * * [simplify]: iters left: 6 (18 enodes) 485.147 * * [simplify]: iters left: 5 (70 enodes) 485.159 * * [simplify]: iters left: 4 (126 enodes) 485.184 * * [simplify]: iters left: 3 (322 enodes) 485.281 * * [simplify]: Extracting #0: cost 1 inf + 0 485.281 * * [simplify]: Extracting #1: cost 0 inf + 1 485.281 * [simplify]: Simplified to 0 485.281 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 485.281 * * * * [progress]: [ 876 / 2246 ] simplifiying candidate # 485.281 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 485.281 * * [simplify]: iters left: 6 (22 enodes) 485.288 * * [simplify]: iters left: 5 (86 enodes) 485.300 * * [simplify]: iters left: 4 (136 enodes) 485.327 * * [simplify]: iters left: 3 (297 enodes) 485.410 * * [simplify]: Extracting #0: cost 1 inf + 0 485.410 * * [simplify]: Extracting #1: cost 17 inf + 0 485.410 * * [simplify]: Extracting #2: cost 105 inf + 0 485.411 * * [simplify]: Extracting #3: cost 176 inf + 84 485.411 * * [simplify]: Extracting #4: cost 178 inf + 369 485.412 * * [simplify]: Extracting #5: cost 167 inf + 2747 485.416 * * [simplify]: Extracting #6: cost 92 inf + 25872 485.426 * * [simplify]: Extracting #7: cost 13 inf + 58162 485.441 * * [simplify]: Extracting #8: cost 0 inf + 62817 485.454 * * [simplify]: Extracting #9: cost 0 inf + 62767 485.467 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 485.467 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 485.467 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 485.468 * * [simplify]: iters left: 6 (19 enodes) 485.473 * * [simplify]: iters left: 5 (75 enodes) 485.485 * * [simplify]: iters left: 4 (111 enodes) 485.504 * * [simplify]: iters left: 3 (244 enodes) 485.566 * * [simplify]: Extracting #0: cost 1 inf + 0 485.567 * * [simplify]: Extracting #1: cost 18 inf + 0 485.567 * * [simplify]: Extracting #2: cost 75 inf + 1 485.567 * * [simplify]: Extracting #3: cost 123 inf + 1 485.568 * * [simplify]: Extracting #4: cost 115 inf + 1708 485.569 * * [simplify]: Extracting #5: cost 83 inf + 10385 485.573 * * [simplify]: Extracting #6: cost 78 inf + 11373 485.579 * * [simplify]: Extracting #7: cost 25 inf + 31967 485.589 * * [simplify]: Extracting #8: cost 0 inf + 41997 485.599 * * [simplify]: Extracting #9: cost 0 inf + 41872 485.609 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 485.609 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))))))) 485.609 * * * * [progress]: [ 877 / 2246 ] simplifiying candidate # 485.609 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 485.609 * * [simplify]: iters left: 6 (22 enodes) 485.616 * * [simplify]: iters left: 5 (86 enodes) 485.629 * * [simplify]: iters left: 4 (136 enodes) 485.655 * * [simplify]: iters left: 3 (297 enodes) 485.740 * * [simplify]: Extracting #0: cost 1 inf + 0 485.740 * * [simplify]: Extracting #1: cost 17 inf + 0 485.740 * * [simplify]: Extracting #2: cost 105 inf + 0 485.740 * * [simplify]: Extracting #3: cost 176 inf + 84 485.741 * * [simplify]: Extracting #4: cost 178 inf + 369 485.742 * * [simplify]: Extracting #5: cost 167 inf + 2747 485.745 * * [simplify]: Extracting #6: cost 92 inf + 25872 485.755 * * [simplify]: Extracting #7: cost 13 inf + 58162 485.769 * * [simplify]: Extracting #8: cost 0 inf + 62817 485.784 * * [simplify]: Extracting #9: cost 0 inf + 62767 485.797 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 485.797 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 485.797 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 485.797 * * [simplify]: iters left: 6 (19 enodes) 485.803 * * [simplify]: iters left: 5 (75 enodes) 485.814 * * [simplify]: iters left: 4 (111 enodes) 485.833 * * [simplify]: iters left: 3 (244 enodes) 485.896 * * [simplify]: Extracting #0: cost 1 inf + 0 485.896 * * [simplify]: Extracting #1: cost 18 inf + 0 485.896 * * [simplify]: Extracting #2: cost 75 inf + 1 485.897 * * [simplify]: Extracting #3: cost 123 inf + 1 485.897 * * [simplify]: Extracting #4: cost 115 inf + 1708 485.899 * * [simplify]: Extracting #5: cost 83 inf + 10385 485.903 * * [simplify]: Extracting #6: cost 78 inf + 11373 485.909 * * [simplify]: Extracting #7: cost 25 inf + 31967 485.918 * * [simplify]: Extracting #8: cost 0 inf + 41997 485.928 * * [simplify]: Extracting #9: cost 0 inf + 41872 485.938 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 485.938 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))))))) 485.939 * * * * [progress]: [ 878 / 2246 ] simplifiying candidate # 485.939 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 485.939 * * [simplify]: iters left: 6 (20 enodes) 485.944 * * [simplify]: iters left: 5 (77 enodes) 485.956 * * [simplify]: iters left: 4 (140 enodes) 485.984 * * [simplify]: iters left: 3 (317 enodes) 486.071 * * [simplify]: Extracting #0: cost 1 inf + 0 486.072 * * [simplify]: Extracting #1: cost 14 inf + 0 486.072 * * [simplify]: Extracting #2: cost 94 inf + 0 486.072 * * [simplify]: Extracting #3: cost 174 inf + 125 486.073 * * [simplify]: Extracting #4: cost 173 inf + 654 486.074 * * [simplify]: Extracting #5: cost 155 inf + 4695 486.078 * * [simplify]: Extracting #6: cost 91 inf + 24943 486.090 * * [simplify]: Extracting #7: cost 5 inf + 60189 486.106 * * [simplify]: Extracting #8: cost 0 inf + 61510 486.119 * * [simplify]: Extracting #9: cost 0 inf + 61460 486.133 * [simplify]: Simplified to (+ (/ (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 486.133 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 486.133 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 486.133 * * [simplify]: iters left: 6 (18 enodes) 486.138 * * [simplify]: iters left: 5 (70 enodes) 486.149 * * [simplify]: iters left: 4 (126 enodes) 486.176 * * [simplify]: iters left: 3 (322 enodes) 486.272 * * [simplify]: Extracting #0: cost 1 inf + 0 486.272 * * [simplify]: Extracting #1: cost 0 inf + 1 486.272 * [simplify]: Simplified to 0 486.272 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 486.272 * * * * [progress]: [ 879 / 2246 ] simplifiying candidate # 486.272 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 486.272 * * [simplify]: iters left: 6 (20 enodes) 486.277 * * [simplify]: iters left: 5 (78 enodes) 486.292 * * [simplify]: iters left: 4 (161 enodes) 486.323 * * [simplify]: iters left: 3 (403 enodes) 486.437 * * [simplify]: Extracting #0: cost 1 inf + 0 486.437 * * [simplify]: Extracting #1: cost 11 inf + 0 486.437 * * [simplify]: Extracting #2: cost 105 inf + 0 486.438 * * [simplify]: Extracting #3: cost 211 inf + 85 486.439 * * [simplify]: Extracting #4: cost 215 inf + 249 486.440 * * [simplify]: Extracting #5: cost 207 inf + 1552 486.443 * * [simplify]: Extracting #6: cost 163 inf + 15603 486.461 * * [simplify]: Extracting #7: cost 40 inf + 74025 486.485 * * [simplify]: Extracting #8: cost 0 inf + 94907 486.510 * * [simplify]: Extracting #9: cost 0 inf + 94587 486.534 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 486.534 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 486.534 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 486.535 * * [simplify]: iters left: 6 (18 enodes) 486.539 * * [simplify]: iters left: 5 (72 enodes) 486.552 * * [simplify]: iters left: 4 (139 enodes) 486.578 * * [simplify]: iters left: 3 (344 enodes) 486.674 * * [simplify]: Extracting #0: cost 1 inf + 0 486.675 * * [simplify]: Extracting #1: cost 0 inf + 1 486.675 * [simplify]: Simplified to 0 486.675 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 486.675 * * * * [progress]: [ 880 / 2246 ] simplifiying candidate # 486.675 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 486.675 * * [simplify]: iters left: 6 (18 enodes) 486.679 * * [simplify]: iters left: 5 (67 enodes) 486.690 * * [simplify]: iters left: 4 (119 enodes) 486.711 * * [simplify]: iters left: 3 (266 enodes) 486.768 * * [simplify]: Extracting #0: cost 1 inf + 0 486.768 * * [simplify]: Extracting #1: cost 9 inf + 0 486.768 * * [simplify]: Extracting #2: cost 75 inf + 0 486.769 * * [simplify]: Extracting #3: cost 135 inf + 3 486.769 * * [simplify]: Extracting #4: cost 139 inf + 125 486.770 * * [simplify]: Extracting #5: cost 135 inf + 444 486.771 * * [simplify]: Extracting #6: cost 111 inf + 5252 486.776 * * [simplify]: Extracting #7: cost 50 inf + 27233 486.786 * * [simplify]: Extracting #8: cost 7 inf + 45292 486.799 * * [simplify]: Extracting #9: cost 0 inf + 48418 486.811 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (sqrt (hypot 1 x))))) 486.811 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (sqrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 486.811 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 486.811 * * [simplify]: iters left: 6 (16 enodes) 486.815 * * [simplify]: iters left: 5 (62 enodes) 486.825 * * [simplify]: iters left: 4 (105 enodes) 486.843 * * [simplify]: iters left: 3 (234 enodes) 486.894 * * [simplify]: Extracting #0: cost 1 inf + 0 486.894 * * [simplify]: Extracting #1: cost 0 inf + 1 486.894 * [simplify]: Simplified to 0 486.894 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 486.895 * * * * [progress]: [ 881 / 2246 ] simplifiying candidate # 486.895 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 486.895 * * [simplify]: iters left: 6 (18 enodes) 486.899 * * [simplify]: iters left: 5 (69 enodes) 486.910 * * [simplify]: iters left: 4 (117 enodes) 486.933 * * [simplify]: iters left: 3 (239 enodes) 486.987 * * [simplify]: iters left: 2 (495 enodes) 487.133 * * [simplify]: Extracting #0: cost 1 inf + 0 487.133 * * [simplify]: Extracting #1: cost 23 inf + 0 487.134 * * [simplify]: Extracting #2: cost 71 inf + 1 487.134 * * [simplify]: Extracting #3: cost 106 inf + 3 487.134 * * [simplify]: Extracting #4: cost 109 inf + 282 487.136 * * [simplify]: Extracting #5: cost 79 inf + 5314 487.142 * * [simplify]: Extracting #6: cost 14 inf + 24695 487.153 * * [simplify]: Extracting #7: cost 0 inf + 29213 487.163 * * [simplify]: Extracting #8: cost 0 inf + 29133 487.172 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 487.172 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))))) 487.172 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1))) 487.172 * * [simplify]: iters left: 6 (16 enodes) 487.177 * * [simplify]: iters left: 5 (63 enodes) 487.187 * * [simplify]: iters left: 4 (113 enodes) 487.209 * * [simplify]: iters left: 3 (256 enodes) 487.273 * * [simplify]: Extracting #0: cost 1 inf + 0 487.273 * * [simplify]: Extracting #1: cost 0 inf + 1 487.273 * [simplify]: Simplified to 0 487.273 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 0))) 487.273 * * * * [progress]: [ 882 / 2246 ] simplifiying candidate # 487.273 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 487.274 * * [simplify]: iters left: 6 (20 enodes) 487.281 * * [simplify]: iters left: 5 (78 enodes) 487.292 * * [simplify]: iters left: 4 (118 enodes) 487.312 * * [simplify]: iters left: 3 (244 enodes) 487.368 * * [simplify]: iters left: 2 (479 enodes) 487.489 * * [simplify]: Extracting #0: cost 1 inf + 0 487.489 * * [simplify]: Extracting #1: cost 24 inf + 0 487.489 * * [simplify]: Extracting #2: cost 70 inf + 1 487.489 * * [simplify]: Extracting #3: cost 106 inf + 3 487.490 * * [simplify]: Extracting #4: cost 102 inf + 557 487.493 * * [simplify]: Extracting #5: cost 46 inf + 13284 487.500 * * [simplify]: Extracting #6: cost 4 inf + 26113 487.509 * * [simplify]: Extracting #7: cost 0 inf + 27545 487.519 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 487.519 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))))) 487.519 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)))) 487.519 * * [simplify]: iters left: 6 (17 enodes) 487.524 * * [simplify]: iters left: 5 (68 enodes) 487.534 * * [simplify]: iters left: 4 (101 enodes) 487.551 * * [simplify]: iters left: 3 (206 enodes) 487.596 * * [simplify]: iters left: 2 (407 enodes) 487.705 * * [simplify]: Extracting #0: cost 1 inf + 0 487.705 * * [simplify]: Extracting #1: cost 0 inf + 1 487.705 * [simplify]: Simplified to 0 487.705 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 487.706 * * * * [progress]: [ 883 / 2246 ] simplifiying candidate # 487.706 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 487.706 * * [simplify]: iters left: 6 (20 enodes) 487.711 * * [simplify]: iters left: 5 (78 enodes) 487.723 * * [simplify]: iters left: 4 (118 enodes) 487.743 * * [simplify]: iters left: 3 (244 enodes) 487.799 * * [simplify]: iters left: 2 (479 enodes) 487.921 * * [simplify]: Extracting #0: cost 1 inf + 0 487.922 * * [simplify]: Extracting #1: cost 24 inf + 0 487.922 * * [simplify]: Extracting #2: cost 70 inf + 1 487.922 * * [simplify]: Extracting #3: cost 106 inf + 3 487.923 * * [simplify]: Extracting #4: cost 102 inf + 557 487.925 * * [simplify]: Extracting #5: cost 46 inf + 13284 487.933 * * [simplify]: Extracting #6: cost 4 inf + 26113 487.942 * * [simplify]: Extracting #7: cost 0 inf + 27545 487.950 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 487.950 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))))) 487.951 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)))) 487.951 * * [simplify]: iters left: 6 (17 enodes) 487.955 * * [simplify]: iters left: 5 (68 enodes) 487.966 * * [simplify]: iters left: 4 (101 enodes) 487.983 * * [simplify]: iters left: 3 (206 enodes) 488.029 * * [simplify]: iters left: 2 (407 enodes) 488.138 * * [simplify]: Extracting #0: cost 1 inf + 0 488.138 * * [simplify]: Extracting #1: cost 0 inf + 1 488.138 * [simplify]: Simplified to 0 488.138 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 488.139 * * * * [progress]: [ 884 / 2246 ] simplifiying candidate # 488.139 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 488.139 * * [simplify]: iters left: 6 (18 enodes) 488.143 * * [simplify]: iters left: 5 (69 enodes) 488.154 * * [simplify]: iters left: 4 (117 enodes) 488.178 * * [simplify]: iters left: 3 (239 enodes) 488.235 * * [simplify]: iters left: 2 (495 enodes) 488.380 * * [simplify]: Extracting #0: cost 1 inf + 0 488.381 * * [simplify]: Extracting #1: cost 23 inf + 0 488.381 * * [simplify]: Extracting #2: cost 71 inf + 1 488.381 * * [simplify]: Extracting #3: cost 106 inf + 3 488.382 * * [simplify]: Extracting #4: cost 109 inf + 282 488.385 * * [simplify]: Extracting #5: cost 79 inf + 5314 488.391 * * [simplify]: Extracting #6: cost 14 inf + 24695 488.400 * * [simplify]: Extracting #7: cost 0 inf + 29213 488.409 * * [simplify]: Extracting #8: cost 0 inf + 29133 488.418 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 488.419 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))))) 488.419 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1))) 488.419 * * [simplify]: iters left: 6 (16 enodes) 488.423 * * [simplify]: iters left: 5 (63 enodes) 488.433 * * [simplify]: iters left: 4 (113 enodes) 488.457 * * [simplify]: iters left: 3 (256 enodes) 488.522 * * [simplify]: Extracting #0: cost 1 inf + 0 488.522 * * [simplify]: Extracting #1: cost 0 inf + 1 488.522 * [simplify]: Simplified to 0 488.522 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 0))) 488.522 * * * * [progress]: [ 885 / 2246 ] simplifiying candidate # 488.522 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 488.523 * * [simplify]: iters left: 6 (19 enodes) 488.527 * * [simplify]: iters left: 5 (76 enodes) 488.540 * * [simplify]: iters left: 4 (152 enodes) 488.571 * * [simplify]: iters left: 3 (352 enodes) 488.673 * * [simplify]: Extracting #0: cost 1 inf + 0 488.673 * * [simplify]: Extracting #1: cost 14 inf + 0 488.674 * * [simplify]: Extracting #2: cost 87 inf + 0 488.674 * * [simplify]: Extracting #3: cost 143 inf + 2 488.675 * * [simplify]: Extracting #4: cost 133 inf + 1035 488.675 * * [simplify]: Extracting #5: cost 121 inf + 2659 488.680 * * [simplify]: Extracting #6: cost 59 inf + 28260 488.696 * * [simplify]: Extracting #7: cost 4 inf + 52813 488.711 * * [simplify]: Extracting #8: cost 0 inf + 54763 488.727 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 488.727 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 488.727 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 488.727 * * [simplify]: iters left: 6 (18 enodes) 488.732 * * [simplify]: iters left: 5 (71 enodes) 488.743 * * [simplify]: iters left: 4 (135 enodes) 488.772 * * [simplify]: iters left: 3 (317 enodes) 488.862 * * [simplify]: Extracting #0: cost 1 inf + 0 488.862 * * [simplify]: Extracting #1: cost 0 inf + 1 488.862 * [simplify]: Simplified to 0 488.862 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 488.862 * * * * [progress]: [ 886 / 2246 ] simplifiying candidate # 488.862 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 488.863 * * [simplify]: iters left: 6 (18 enodes) 488.867 * * [simplify]: iters left: 5 (71 enodes) 488.880 * * [simplify]: iters left: 4 (126 enodes) 488.903 * * [simplify]: iters left: 3 (256 enodes) 488.963 * * [simplify]: iters left: 2 (459 enodes) 489.081 * * [simplify]: Extracting #0: cost 1 inf + 0 489.081 * * [simplify]: Extracting #1: cost 31 inf + 0 489.081 * * [simplify]: Extracting #2: cost 85 inf + 1 489.081 * * [simplify]: Extracting #3: cost 119 inf + 3 489.082 * * [simplify]: Extracting #4: cost 114 inf + 436 489.083 * * [simplify]: Extracting #5: cost 90 inf + 4116 489.088 * * [simplify]: Extracting #6: cost 30 inf + 23262 489.099 * * [simplify]: Extracting #7: cost 1 inf + 34106 489.111 * * [simplify]: Extracting #8: cost 0 inf + 34444 489.122 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 489.122 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 489.123 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 489.123 * * [simplify]: iters left: 6 (17 enodes) 489.127 * * [simplify]: iters left: 5 (66 enodes) 489.138 * * [simplify]: iters left: 4 (111 enodes) 489.158 * * [simplify]: iters left: 3 (224 enodes) 489.209 * * [simplify]: iters left: 2 (415 enodes) 489.306 * * [simplify]: Extracting #0: cost 1 inf + 0 489.306 * * [simplify]: Extracting #1: cost 0 inf + 1 489.306 * [simplify]: Simplified to 0 489.306 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 489.306 * * * * [progress]: [ 887 / 2246 ] simplifiying candidate # 489.306 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 489.306 * * [simplify]: iters left: 6 (17 enodes) 489.311 * * [simplify]: iters left: 5 (63 enodes) 489.321 * * [simplify]: iters left: 4 (119 enodes) 489.341 * * [simplify]: iters left: 3 (206 enodes) 489.384 * * [simplify]: iters left: 2 (356 enodes) 489.467 * * [simplify]: iters left: 1 (490 enodes) 489.575 * * [simplify]: Extracting #0: cost 1 inf + 0 489.575 * * [simplify]: Extracting #1: cost 32 inf + 0 489.576 * * [simplify]: Extracting #2: cost 65 inf + 1 489.576 * * [simplify]: Extracting #3: cost 82 inf + 3 489.577 * * [simplify]: Extracting #4: cost 73 inf + 1870 489.581 * * [simplify]: Extracting #5: cost 24 inf + 14429 489.587 * * [simplify]: Extracting #6: cost 4 inf + 20371 489.594 * * [simplify]: Extracting #7: cost 0 inf + 21898 489.601 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 489.601 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))))) 489.601 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1))) 489.601 * * [simplify]: iters left: 6 (16 enodes) 489.605 * * [simplify]: iters left: 5 (58 enodes) 489.614 * * [simplify]: iters left: 4 (106 enodes) 489.632 * * [simplify]: iters left: 3 (186 enodes) 489.671 * * [simplify]: iters left: 2 (342 enodes) 489.744 * * [simplify]: iters left: 1 (486 enodes) 489.843 * * [simplify]: Extracting #0: cost 1 inf + 0 489.843 * * [simplify]: Extracting #1: cost 0 inf + 1 489.843 * [simplify]: Simplified to 0 489.843 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 0))) 489.843 * * * * [progress]: [ 888 / 2246 ] simplifiying candidate # 489.844 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 489.844 * * [simplify]: iters left: 6 (19 enodes) 489.850 * * [simplify]: iters left: 5 (75 enodes) 489.861 * * [simplify]: iters left: 4 (121 enodes) 489.881 * * [simplify]: iters left: 3 (215 enodes) 489.915 * * [simplify]: iters left: 2 (338 enodes) 489.986 * * [simplify]: iters left: 1 (485 enodes) 490.099 * * [simplify]: Extracting #0: cost 1 inf + 0 490.099 * * [simplify]: Extracting #1: cost 21 inf + 0 490.099 * * [simplify]: Extracting #2: cost 54 inf + 1 490.099 * * [simplify]: Extracting #3: cost 72 inf + 3 490.100 * * [simplify]: Extracting #4: cost 65 inf + 1405 490.101 * * [simplify]: Extracting #5: cost 35 inf + 7587 490.106 * * [simplify]: Extracting #6: cost 7 inf + 14832 490.111 * * [simplify]: Extracting #7: cost 1 inf + 17310 490.116 * * [simplify]: Extracting #8: cost 0 inf + 17783 490.122 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 490.122 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))))) 490.122 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1)))) 490.122 * * [simplify]: iters left: 6 (17 enodes) 490.128 * * [simplify]: iters left: 5 (66 enodes) 490.137 * * [simplify]: iters left: 4 (101 enodes) 490.152 * * [simplify]: iters left: 3 (170 enodes) 490.181 * * [simplify]: iters left: 2 (266 enodes) 490.231 * * [simplify]: iters left: 1 (380 enodes) 490.311 * * [simplify]: Extracting #0: cost 1 inf + 0 490.311 * * [simplify]: Extracting #1: cost 0 inf + 1 490.311 * [simplify]: Simplified to 0 490.311 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 0))) 490.312 * * * * [progress]: [ 889 / 2246 ] simplifiying candidate # 490.312 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 490.312 * * [simplify]: iters left: 6 (19 enodes) 490.318 * * [simplify]: iters left: 5 (75 enodes) 490.328 * * [simplify]: iters left: 4 (121 enodes) 490.349 * * [simplify]: iters left: 3 (215 enodes) 490.382 * * [simplify]: iters left: 2 (338 enodes) 490.453 * * [simplify]: iters left: 1 (485 enodes) 490.566 * * [simplify]: Extracting #0: cost 1 inf + 0 490.566 * * [simplify]: Extracting #1: cost 21 inf + 0 490.566 * * [simplify]: Extracting #2: cost 54 inf + 1 490.566 * * [simplify]: Extracting #3: cost 72 inf + 3 490.567 * * [simplify]: Extracting #4: cost 65 inf + 1405 490.568 * * [simplify]: Extracting #5: cost 35 inf + 7587 490.573 * * [simplify]: Extracting #6: cost 7 inf + 14832 490.578 * * [simplify]: Extracting #7: cost 1 inf + 17310 490.583 * * [simplify]: Extracting #8: cost 0 inf + 17783 490.589 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 490.589 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))))) 490.589 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1)))) 490.589 * * [simplify]: iters left: 6 (17 enodes) 490.595 * * [simplify]: iters left: 5 (66 enodes) 490.604 * * [simplify]: iters left: 4 (101 enodes) 490.619 * * [simplify]: iters left: 3 (170 enodes) 490.648 * * [simplify]: iters left: 2 (266 enodes) 490.697 * * [simplify]: iters left: 1 (380 enodes) 490.778 * * [simplify]: Extracting #0: cost 1 inf + 0 490.778 * * [simplify]: Extracting #1: cost 0 inf + 1 490.778 * [simplify]: Simplified to 0 490.778 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 0))) 490.779 * * * * [progress]: [ 890 / 2246 ] simplifiying candidate # 490.779 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 490.779 * * [simplify]: iters left: 6 (17 enodes) 490.783 * * [simplify]: iters left: 5 (63 enodes) 490.795 * * [simplify]: iters left: 4 (119 enodes) 490.815 * * [simplify]: iters left: 3 (206 enodes) 490.856 * * [simplify]: iters left: 2 (356 enodes) 490.937 * * [simplify]: iters left: 1 (490 enodes) 491.044 * * [simplify]: Extracting #0: cost 1 inf + 0 491.044 * * [simplify]: Extracting #1: cost 32 inf + 0 491.045 * * [simplify]: Extracting #2: cost 65 inf + 1 491.045 * * [simplify]: Extracting #3: cost 82 inf + 3 491.046 * * [simplify]: Extracting #4: cost 73 inf + 1870 491.049 * * [simplify]: Extracting #5: cost 24 inf + 14429 491.055 * * [simplify]: Extracting #6: cost 4 inf + 20371 491.062 * * [simplify]: Extracting #7: cost 0 inf + 21898 491.069 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 491.069 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))))) 491.069 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1))) 491.069 * * [simplify]: iters left: 6 (16 enodes) 491.073 * * [simplify]: iters left: 5 (58 enodes) 491.084 * * [simplify]: iters left: 4 (106 enodes) 491.101 * * [simplify]: iters left: 3 (186 enodes) 491.138 * * [simplify]: iters left: 2 (342 enodes) 491.210 * * [simplify]: iters left: 1 (486 enodes) 491.308 * * [simplify]: Extracting #0: cost 1 inf + 0 491.309 * * [simplify]: Extracting #1: cost 0 inf + 1 491.309 * [simplify]: Simplified to 0 491.309 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 0))) 491.309 * * * * [progress]: [ 891 / 2246 ] simplifiying candidate # 491.309 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 491.309 * * [simplify]: iters left: 6 (22 enodes) 491.314 * * [simplify]: iters left: 5 (87 enodes) 491.329 * * [simplify]: iters left: 4 (191 enodes) 491.374 * * [simplify]: Extracting #0: cost 1 inf + 0 491.374 * * [simplify]: Extracting #1: cost 11 inf + 0 491.374 * * [simplify]: Extracting #2: cost 100 inf + 0 491.374 * * [simplify]: Extracting #3: cost 169 inf + 86 491.375 * * [simplify]: Extracting #4: cost 173 inf + 86 491.375 * * [simplify]: Extracting #5: cost 173 inf + 144 491.376 * * [simplify]: Extracting #6: cost 152 inf + 4169 491.381 * * [simplify]: Extracting #7: cost 68 inf + 39726 491.394 * * [simplify]: Extracting #8: cost 5 inf + 71118 491.409 * * [simplify]: Extracting #9: cost 0 inf + 73372 491.423 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 491.423 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 491.424 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 491.424 * * [simplify]: iters left: 6 (19 enodes) 491.428 * * [simplify]: iters left: 5 (78 enodes) 491.441 * * [simplify]: iters left: 4 (164 enodes) 491.480 * * [simplify]: iters left: 3 (469 enodes) 491.730 * * [simplify]: Extracting #0: cost 1 inf + 0 491.730 * * [simplify]: Extracting #1: cost 0 inf + 1 491.730 * [simplify]: Simplified to 0 491.730 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 491.730 * * * * [progress]: [ 892 / 2246 ] simplifiying candidate # 491.730 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 491.731 * * [simplify]: iters left: 6 (21 enodes) 491.735 * * [simplify]: iters left: 5 (82 enodes) 491.749 * * [simplify]: iters left: 4 (161 enodes) 491.783 * * [simplify]: iters left: 3 (389 enodes) 491.922 * * [simplify]: Extracting #0: cost 1 inf + 0 491.922 * * [simplify]: Extracting #1: cost 11 inf + 0 491.922 * * [simplify]: Extracting #2: cost 130 inf + 0 491.923 * * [simplify]: Extracting #3: cost 236 inf + 45 491.924 * * [simplify]: Extracting #4: cost 238 inf + 168 491.925 * * [simplify]: Extracting #5: cost 226 inf + 2436 491.928 * * [simplify]: Extracting #6: cost 186 inf + 11404 491.931 * * [simplify]: Extracting #7: cost 156 inf + 22871 491.948 * * [simplify]: Extracting #8: cost 38 inf + 75686 491.971 * * [simplify]: Extracting #9: cost 0 inf + 92747 491.995 * * [simplify]: Extracting #10: cost 0 inf + 92667 492.018 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 492.018 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 492.019 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 492.019 * * [simplify]: iters left: 6 (18 enodes) 492.023 * * [simplify]: iters left: 5 (73 enodes) 492.035 * * [simplify]: iters left: 4 (136 enodes) 492.061 * * [simplify]: iters left: 3 (336 enodes) 492.190 * * [simplify]: Extracting #0: cost 1 inf + 0 492.190 * * [simplify]: Extracting #1: cost 0 inf + 1 492.190 * [simplify]: Simplified to 0 492.190 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 492.190 * * * * [progress]: [ 893 / 2246 ] simplifiying candidate # 492.191 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 492.191 * * [simplify]: iters left: 6 (20 enodes) 492.195 * * [simplify]: iters left: 5 (77 enodes) 492.208 * * [simplify]: iters left: 4 (152 enodes) 492.242 * * [simplify]: iters left: 3 (343 enodes) 492.366 * * [simplify]: Extracting #0: cost 1 inf + 0 492.366 * * [simplify]: Extracting #1: cost 11 inf + 0 492.367 * * [simplify]: Extracting #2: cost 115 inf + 0 492.367 * * [simplify]: Extracting #3: cost 171 inf + 45 492.368 * * [simplify]: Extracting #4: cost 170 inf + 414 492.368 * * [simplify]: Extracting #5: cost 171 inf + 415 492.369 * * [simplify]: Extracting #6: cost 169 inf + 627 492.371 * * [simplify]: Extracting #7: cost 130 inf + 11045 492.381 * * [simplify]: Extracting #8: cost 19 inf + 47769 492.393 * * [simplify]: Extracting #9: cost 0 inf + 55025 492.408 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ 1/2 (* (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 492.408 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ 1/2 (* (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 492.408 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 492.408 * * [simplify]: iters left: 6 (17 enodes) 492.413 * * [simplify]: iters left: 5 (68 enodes) 492.424 * * [simplify]: iters left: 4 (127 enodes) 492.449 * * [simplify]: iters left: 3 (292 enodes) 492.551 * * [simplify]: Extracting #0: cost 1 inf + 0 492.551 * * [simplify]: Extracting #1: cost 0 inf + 1 492.551 * [simplify]: Simplified to 0 492.551 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 492.551 * * * * [progress]: [ 894 / 2246 ] simplifiying candidate # 492.552 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 492.552 * * [simplify]: iters left: 6 (22 enodes) 492.558 * * [simplify]: iters left: 5 (86 enodes) 492.571 * * [simplify]: iters left: 4 (139 enodes) 492.597 * * [simplify]: iters left: 3 (305 enodes) 492.697 * * [simplify]: Extracting #0: cost 1 inf + 0 492.697 * * [simplify]: Extracting #1: cost 14 inf + 0 492.697 * * [simplify]: Extracting #2: cost 102 inf + 0 492.698 * * [simplify]: Extracting #3: cost 161 inf + 86 492.698 * * [simplify]: Extracting #4: cost 162 inf + 332 492.699 * * [simplify]: Extracting #5: cost 162 inf + 390 492.700 * * [simplify]: Extracting #6: cost 134 inf + 6024 492.702 * * [simplify]: Extracting #7: cost 99 inf + 14087 492.706 * * [simplify]: Extracting #8: cost 58 inf + 28075 492.716 * * [simplify]: Extracting #9: cost 1 inf + 51071 492.727 * * [simplify]: Extracting #10: cost 0 inf + 51460 492.738 * [simplify]: Simplified to (fma (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 492.738 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 492.738 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 492.738 * * [simplify]: iters left: 6 (18 enodes) 492.743 * * [simplify]: iters left: 5 (73 enodes) 492.755 * * [simplify]: iters left: 4 (112 enodes) 492.775 * * [simplify]: iters left: 3 (236 enodes) 492.844 * * [simplify]: Extracting #0: cost 1 inf + 0 492.844 * * [simplify]: Extracting #1: cost 20 inf + 0 492.844 * * [simplify]: Extracting #2: cost 95 inf + 1 492.844 * * [simplify]: Extracting #3: cost 118 inf + 4 492.845 * * [simplify]: Extracting #4: cost 111 inf + 1145 492.846 * * [simplify]: Extracting #5: cost 86 inf + 6974 492.848 * * [simplify]: Extracting #6: cost 75 inf + 9748 492.850 * * [simplify]: Extracting #7: cost 70 inf + 10597 492.855 * * [simplify]: Extracting #8: cost 17 inf + 29887 492.864 * * [simplify]: Extracting #9: cost 0 inf + 36382 492.872 * * [simplify]: Extracting #10: cost 0 inf + 36332 492.881 * [simplify]: Simplified to (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 492.881 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) 492.881 * * * * [progress]: [ 895 / 2246 ] simplifiying candidate # 492.881 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 492.882 * * [simplify]: iters left: 6 (22 enodes) 492.890 * * [simplify]: iters left: 5 (86 enodes) 492.903 * * [simplify]: iters left: 4 (139 enodes) 492.927 * * [simplify]: iters left: 3 (305 enodes) 493.026 * * [simplify]: Extracting #0: cost 1 inf + 0 493.026 * * [simplify]: Extracting #1: cost 14 inf + 0 493.027 * * [simplify]: Extracting #2: cost 102 inf + 0 493.027 * * [simplify]: Extracting #3: cost 161 inf + 86 493.028 * * [simplify]: Extracting #4: cost 162 inf + 332 493.028 * * [simplify]: Extracting #5: cost 162 inf + 390 493.029 * * [simplify]: Extracting #6: cost 134 inf + 6024 493.032 * * [simplify]: Extracting #7: cost 99 inf + 14087 493.036 * * [simplify]: Extracting #8: cost 58 inf + 28075 493.046 * * [simplify]: Extracting #9: cost 1 inf + 51071 493.057 * * [simplify]: Extracting #10: cost 0 inf + 51460 493.069 * [simplify]: Simplified to (fma (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 493.069 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 493.070 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 493.070 * * [simplify]: iters left: 6 (18 enodes) 493.075 * * [simplify]: iters left: 5 (73 enodes) 493.086 * * [simplify]: iters left: 4 (112 enodes) 493.104 * * [simplify]: iters left: 3 (236 enodes) 493.173 * * [simplify]: Extracting #0: cost 1 inf + 0 493.174 * * [simplify]: Extracting #1: cost 20 inf + 0 493.174 * * [simplify]: Extracting #2: cost 95 inf + 1 493.174 * * [simplify]: Extracting #3: cost 118 inf + 4 493.175 * * [simplify]: Extracting #4: cost 111 inf + 1145 493.176 * * [simplify]: Extracting #5: cost 86 inf + 6974 493.178 * * [simplify]: Extracting #6: cost 75 inf + 9748 493.179 * * [simplify]: Extracting #7: cost 70 inf + 10597 493.185 * * [simplify]: Extracting #8: cost 17 inf + 29887 493.195 * * [simplify]: Extracting #9: cost 0 inf + 36382 493.203 * * [simplify]: Extracting #10: cost 0 inf + 36332 493.212 * [simplify]: Simplified to (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 493.212 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) 493.213 * * * * [progress]: [ 896 / 2246 ] simplifiying candidate # 493.213 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 493.213 * * [simplify]: iters left: 6 (20 enodes) 493.218 * * [simplify]: iters left: 5 (77 enodes) 493.231 * * [simplify]: iters left: 4 (152 enodes) 493.263 * * [simplify]: iters left: 3 (343 enodes) 493.386 * * [simplify]: Extracting #0: cost 1 inf + 0 493.386 * * [simplify]: Extracting #1: cost 11 inf + 0 493.386 * * [simplify]: Extracting #2: cost 115 inf + 0 493.387 * * [simplify]: Extracting #3: cost 171 inf + 45 493.387 * * [simplify]: Extracting #4: cost 170 inf + 414 493.388 * * [simplify]: Extracting #5: cost 171 inf + 415 493.389 * * [simplify]: Extracting #6: cost 169 inf + 627 493.391 * * [simplify]: Extracting #7: cost 130 inf + 11045 493.400 * * [simplify]: Extracting #8: cost 19 inf + 47769 493.413 * * [simplify]: Extracting #9: cost 0 inf + 55025 493.425 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ 1/2 (* (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 493.426 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ 1/2 (* (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 493.426 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 493.426 * * [simplify]: iters left: 6 (17 enodes) 493.432 * * [simplify]: iters left: 5 (68 enodes) 493.443 * * [simplify]: iters left: 4 (127 enodes) 493.469 * * [simplify]: iters left: 3 (292 enodes) 493.571 * * [simplify]: Extracting #0: cost 1 inf + 0 493.571 * * [simplify]: Extracting #1: cost 0 inf + 1 493.571 * [simplify]: Simplified to 0 493.571 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 493.571 * * * * [progress]: [ 897 / 2246 ] simplifiying candidate # 493.571 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 493.572 * * [simplify]: iters left: 6 (21 enodes) 493.576 * * [simplify]: iters left: 5 (82 enodes) 493.590 * * [simplify]: iters left: 4 (176 enodes) 493.628 * * [simplify]: iters left: 3 (417 enodes) 493.788 * * [simplify]: Extracting #0: cost 1 inf + 0 493.788 * * [simplify]: Extracting #1: cost 11 inf + 0 493.788 * * [simplify]: Extracting #2: cost 149 inf + 0 493.789 * * [simplify]: Extracting #3: cost 279 inf + 45 493.790 * * [simplify]: Extracting #4: cost 280 inf + 169 493.792 * * [simplify]: Extracting #5: cost 270 inf + 1522 493.793 * * [simplify]: Extracting #6: cost 255 inf + 4122 493.797 * * [simplify]: Extracting #7: cost 210 inf + 19904 493.822 * * [simplify]: Extracting #8: cost 47 inf + 95906 493.852 * * [simplify]: Extracting #9: cost 0 inf + 118040 493.882 * * [simplify]: Extracting #10: cost 0 inf + 117880 493.912 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 493.912 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 493.913 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 493.913 * * [simplify]: iters left: 6 (18 enodes) 493.918 * * [simplify]: iters left: 5 (73 enodes) 493.930 * * [simplify]: iters left: 4 (149 enodes) 493.961 * * [simplify]: iters left: 3 (359 enodes) 494.104 * * [simplify]: Extracting #0: cost 1 inf + 0 494.104 * * [simplify]: Extracting #1: cost 0 inf + 1 494.104 * [simplify]: Simplified to 0 494.104 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 494.105 * * * * [progress]: [ 898 / 2246 ] simplifiying candidate # 494.105 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 494.105 * * [simplify]: iters left: 6 (20 enodes) 494.109 * * [simplify]: iters left: 5 (76 enodes) 494.122 * * [simplify]: iters left: 4 (146 enodes) 494.152 * * [simplify]: iters left: 3 (310 enodes) 494.249 * * [simplify]: Extracting #0: cost 1 inf + 0 494.249 * * [simplify]: Extracting #1: cost 11 inf + 0 494.249 * * [simplify]: Extracting #2: cost 116 inf + 0 494.250 * * [simplify]: Extracting #3: cost 181 inf + 127 494.251 * * [simplify]: Extracting #4: cost 184 inf + 168 494.251 * * [simplify]: Extracting #5: cost 172 inf + 1918 494.254 * * [simplify]: Extracting #6: cost 125 inf + 15473 494.267 * * [simplify]: Extracting #7: cost 25 inf + 54277 494.284 * * [simplify]: Extracting #8: cost 0 inf + 64728 494.300 * * [simplify]: Extracting #9: cost 0 inf + 64688 494.317 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 494.317 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 494.318 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 494.318 * * [simplify]: iters left: 6 (17 enodes) 494.322 * * [simplify]: iters left: 5 (67 enodes) 494.333 * * [simplify]: iters left: 4 (121 enodes) 494.356 * * [simplify]: iters left: 3 (261 enodes) 494.442 * * [simplify]: Extracting #0: cost 1 inf + 0 494.442 * * [simplify]: Extracting #1: cost 0 inf + 1 494.442 * [simplify]: Simplified to 0 494.442 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 494.442 * * * * [progress]: [ 899 / 2246 ] simplifiying candidate # 494.442 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 494.442 * * [simplify]: iters left: 6 (19 enodes) 494.447 * * [simplify]: iters left: 5 (72 enodes) 494.459 * * [simplify]: iters left: 4 (132 enodes) 494.484 * * [simplify]: iters left: 3 (261 enodes) 494.569 * * [simplify]: Extracting #0: cost 1 inf + 0 494.569 * * [simplify]: Extracting #1: cost 11 inf + 0 494.569 * * [simplify]: Extracting #2: cost 103 inf + 0 494.569 * * [simplify]: Extracting #3: cost 126 inf + 250 494.570 * * [simplify]: Extracting #4: cost 128 inf + 414 494.570 * * [simplify]: Extracting #5: cost 128 inf + 472 494.571 * * [simplify]: Extracting #6: cost 99 inf + 5365 494.576 * * [simplify]: Extracting #7: cost 26 inf + 27604 494.585 * * [simplify]: Extracting #8: cost 0 inf + 36057 494.594 * * [simplify]: Extracting #9: cost 0 inf + 36032 494.602 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) 494.602 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))))) 494.603 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1))) 494.603 * * [simplify]: iters left: 6 (16 enodes) 494.607 * * [simplify]: iters left: 5 (63 enodes) 494.617 * * [simplify]: iters left: 4 (109 enodes) 494.640 * * [simplify]: iters left: 3 (230 enodes) 494.709 * * [simplify]: Extracting #0: cost 1 inf + 0 494.710 * * [simplify]: Extracting #1: cost 0 inf + 1 494.710 * [simplify]: Simplified to 0 494.710 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 0))) 494.710 * * * * [progress]: [ 900 / 2246 ] simplifiying candidate # 494.710 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 494.710 * * [simplify]: iters left: 6 (21 enodes) 494.716 * * [simplify]: iters left: 5 (81 enodes) 494.728 * * [simplify]: iters left: 4 (128 enodes) 494.753 * * [simplify]: iters left: 3 (277 enodes) 494.825 * * [simplify]: Extracting #0: cost 1 inf + 0 494.825 * * [simplify]: Extracting #1: cost 11 inf + 0 494.825 * * [simplify]: Extracting #2: cost 90 inf + 0 494.825 * * [simplify]: Extracting #3: cost 126 inf + 4 494.826 * * [simplify]: Extracting #4: cost 125 inf + 332 494.826 * * [simplify]: Extracting #5: cost 125 inf + 390 494.827 * * [simplify]: Extracting #6: cost 109 inf + 2849 494.830 * * [simplify]: Extracting #7: cost 44 inf + 19514 494.838 * * [simplify]: Extracting #8: cost 1 inf + 33993 494.845 * * [simplify]: Extracting #9: cost 0 inf + 34221 494.853 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) 494.853 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))))) 494.854 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)))) 494.854 * * [simplify]: iters left: 6 (17 enodes) 494.859 * * [simplify]: iters left: 5 (68 enodes) 494.871 * * [simplify]: iters left: 4 (102 enodes) 494.888 * * [simplify]: iters left: 3 (202 enodes) 494.939 * * [simplify]: iters left: 2 (433 enodes) 495.111 * * [simplify]: Extracting #0: cost 1 inf + 0 495.111 * * [simplify]: Extracting #1: cost 0 inf + 1 495.111 * [simplify]: Simplified to 0 495.112 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 495.112 * * * * [progress]: [ 901 / 2246 ] simplifiying candidate # 495.112 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 495.112 * * [simplify]: iters left: 6 (21 enodes) 495.118 * * [simplify]: iters left: 5 (81 enodes) 495.129 * * [simplify]: iters left: 4 (128 enodes) 495.155 * * [simplify]: iters left: 3 (277 enodes) 495.226 * * [simplify]: Extracting #0: cost 1 inf + 0 495.226 * * [simplify]: Extracting #1: cost 11 inf + 0 495.227 * * [simplify]: Extracting #2: cost 90 inf + 0 495.227 * * [simplify]: Extracting #3: cost 126 inf + 4 495.227 * * [simplify]: Extracting #4: cost 125 inf + 332 495.228 * * [simplify]: Extracting #5: cost 125 inf + 390 495.229 * * [simplify]: Extracting #6: cost 109 inf + 2849 495.232 * * [simplify]: Extracting #7: cost 44 inf + 19514 495.240 * * [simplify]: Extracting #8: cost 1 inf + 33993 495.247 * * [simplify]: Extracting #9: cost 0 inf + 34221 495.255 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) 495.255 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))))) 495.256 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)))) 495.256 * * [simplify]: iters left: 6 (17 enodes) 495.262 * * [simplify]: iters left: 5 (68 enodes) 495.273 * * [simplify]: iters left: 4 (102 enodes) 495.290 * * [simplify]: iters left: 3 (202 enodes) 495.340 * * [simplify]: iters left: 2 (433 enodes) 495.513 * * [simplify]: Extracting #0: cost 1 inf + 0 495.513 * * [simplify]: Extracting #1: cost 0 inf + 1 495.513 * [simplify]: Simplified to 0 495.513 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 495.513 * * * * [progress]: [ 902 / 2246 ] simplifiying candidate # 495.514 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 495.514 * * [simplify]: iters left: 6 (19 enodes) 495.518 * * [simplify]: iters left: 5 (72 enodes) 495.532 * * [simplify]: iters left: 4 (132 enodes) 495.558 * * [simplify]: iters left: 3 (261 enodes) 495.641 * * [simplify]: Extracting #0: cost 1 inf + 0 495.641 * * [simplify]: Extracting #1: cost 11 inf + 0 495.641 * * [simplify]: Extracting #2: cost 103 inf + 0 495.643 * * [simplify]: Extracting #3: cost 126 inf + 250 495.644 * * [simplify]: Extracting #4: cost 128 inf + 414 495.644 * * [simplify]: Extracting #5: cost 128 inf + 472 495.645 * * [simplify]: Extracting #6: cost 99 inf + 5365 495.650 * * [simplify]: Extracting #7: cost 26 inf + 27604 495.659 * * [simplify]: Extracting #8: cost 0 inf + 36057 495.667 * * [simplify]: Extracting #9: cost 0 inf + 36032 495.676 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) 495.676 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))))) 495.677 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1))) 495.677 * * [simplify]: iters left: 6 (16 enodes) 495.681 * * [simplify]: iters left: 5 (63 enodes) 495.691 * * [simplify]: iters left: 4 (109 enodes) 495.712 * * [simplify]: iters left: 3 (230 enodes) 495.783 * * [simplify]: Extracting #0: cost 1 inf + 0 495.783 * * [simplify]: Extracting #1: cost 0 inf + 1 495.783 * [simplify]: Simplified to 0 495.783 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 0))) 495.783 * * * * [progress]: [ 903 / 2246 ] simplifiying candidate # 495.783 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 495.783 * * [simplify]: iters left: 6 (19 enodes) 495.788 * * [simplify]: iters left: 5 (72 enodes) 495.800 * * [simplify]: iters left: 4 (148 enodes) 495.832 * * [simplify]: iters left: 3 (333 enodes) 495.940 * * [simplify]: Extracting #0: cost 1 inf + 0 495.940 * * [simplify]: Extracting #1: cost 11 inf + 0 495.940 * * [simplify]: Extracting #2: cost 111 inf + 0 495.940 * * [simplify]: Extracting #3: cost 161 inf + 168 495.941 * * [simplify]: Extracting #4: cost 160 inf + 324 495.942 * * [simplify]: Extracting #5: cost 151 inf + 1582 495.947 * * [simplify]: Extracting #6: cost 73 inf + 31296 495.961 * * [simplify]: Extracting #7: cost 0 inf + 61602 495.977 * * [simplify]: Extracting #8: cost 0 inf + 61522 495.992 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 495.992 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 495.992 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 495.992 * * [simplify]: iters left: 6 (16 enodes) 495.996 * * [simplify]: iters left: 5 (63 enodes) 496.006 * * [simplify]: iters left: 4 (123 enodes) 496.033 * * [simplify]: iters left: 3 (281 enodes) 496.390 * * [simplify]: Extracting #0: cost 1 inf + 0 496.390 * * [simplify]: Extracting #1: cost 0 inf + 1 496.390 * [simplify]: Simplified to 0 496.390 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 496.390 * * * * [progress]: [ 904 / 2246 ] simplifiying candidate # 496.390 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 496.391 * * [simplify]: iters left: 6 (18 enodes) 496.395 * * [simplify]: iters left: 5 (67 enodes) 496.406 * * [simplify]: iters left: 4 (124 enodes) 496.430 * * [simplify]: iters left: 3 (239 enodes) 496.491 * * [simplify]: iters left: 2 (456 enodes) 496.672 * * [simplify]: Extracting #0: cost 1 inf + 0 496.672 * * [simplify]: Extracting #1: cost 35 inf + 0 496.673 * * [simplify]: Extracting #2: cost 113 inf + 3 496.673 * * [simplify]: Extracting #3: cost 144 inf + 210 496.674 * * [simplify]: Extracting #4: cost 132 inf + 1456 496.675 * * [simplify]: Extracting #5: cost 123 inf + 2634 496.677 * * [simplify]: Extracting #6: cost 97 inf + 8949 496.683 * * [simplify]: Extracting #7: cost 42 inf + 26166 496.693 * * [simplify]: Extracting #8: cost 1 inf + 40282 496.706 * * [simplify]: Extracting #9: cost 0 inf + 40661 496.718 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 496.718 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 496.718 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 496.718 * * [simplify]: iters left: 6 (15 enodes) 496.722 * * [simplify]: iters left: 5 (58 enodes) 496.731 * * [simplify]: iters left: 4 (101 enodes) 496.750 * * [simplify]: iters left: 3 (184 enodes) 496.795 * * [simplify]: iters left: 2 (365 enodes) 496.909 * * [simplify]: Extracting #0: cost 1 inf + 0 496.909 * * [simplify]: Extracting #1: cost 0 inf + 1 496.909 * [simplify]: Simplified to 0 496.909 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 496.909 * * * * [progress]: [ 905 / 2246 ] simplifiying candidate # 496.909 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 496.910 * * [simplify]: iters left: 6 (17 enodes) 496.914 * * [simplify]: iters left: 5 (61 enodes) 496.924 * * [simplify]: iters left: 4 (90 enodes) 496.940 * * [simplify]: iters left: 3 (130 enodes) 496.958 * * [simplify]: iters left: 2 (179 enodes) 496.991 * * [simplify]: iters left: 1 (330 enodes) 497.120 * * [simplify]: Extracting #0: cost 1 inf + 0 497.120 * * [simplify]: Extracting #1: cost 19 inf + 0 497.120 * * [simplify]: Extracting #2: cost 110 inf + 2 497.121 * * [simplify]: Extracting #3: cost 155 inf + 167 497.122 * * [simplify]: Extracting #4: cost 137 inf + 2308 497.124 * * [simplify]: Extracting #5: cost 91 inf + 9312 497.129 * * [simplify]: Extracting #6: cost 28 inf + 26093 497.141 * * [simplify]: Extracting #7: cost 0 inf + 34866 497.151 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 497.151 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))))) 497.151 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1))) 497.151 * * [simplify]: iters left: 6 (14 enodes) 497.155 * * [simplify]: iters left: 5 (51 enodes) 497.163 * * [simplify]: iters left: 4 (77 enodes) 497.174 * * [simplify]: iters left: 3 (112 enodes) 497.193 * * [simplify]: iters left: 2 (165 enodes) 497.218 * * [simplify]: iters left: 1 (238 enodes) 497.263 * * [simplify]: Extracting #0: cost 1 inf + 0 497.263 * * [simplify]: Extracting #1: cost 0 inf + 1 497.263 * [simplify]: Simplified to 0 497.263 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 0))) 497.263 * * * * [progress]: [ 906 / 2246 ] simplifiying candidate # 497.263 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 497.263 * * [simplify]: iters left: 6 (19 enodes) 497.271 * * [simplify]: iters left: 5 (72 enodes) 497.282 * * [simplify]: iters left: 4 (98 enodes) 497.297 * * [simplify]: iters left: 3 (141 enodes) 497.317 * * [simplify]: iters left: 2 (209 enodes) 497.362 * * [simplify]: iters left: 1 (409 enodes) 497.544 * * [simplify]: Extracting #0: cost 1 inf + 0 497.545 * * [simplify]: Extracting #1: cost 19 inf + 0 497.545 * * [simplify]: Extracting #2: cost 111 inf + 2 497.546 * * [simplify]: Extracting #3: cost 182 inf + 248 497.547 * * [simplify]: Extracting #4: cost 143 inf + 5168 497.551 * * [simplify]: Extracting #5: cost 67 inf + 21176 497.562 * * [simplify]: Extracting #6: cost 9 inf + 38087 497.574 * * [simplify]: Extracting #7: cost 0 inf + 40735 497.585 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 497.585 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))))) 497.586 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1)))) 497.586 * * [simplify]: iters left: 6 (15 enodes) 497.593 * * [simplify]: iters left: 5 (58 enodes) 497.603 * * [simplify]: iters left: 4 (94 enodes) 497.618 * * [simplify]: iters left: 3 (132 enodes) 497.636 * * [simplify]: iters left: 2 (179 enodes) 497.671 * * [simplify]: iters left: 1 (300 enodes) 497.750 * * [simplify]: Extracting #0: cost 1 inf + 0 497.750 * * [simplify]: Extracting #1: cost 0 inf + 1 497.750 * [simplify]: Simplified to 0 497.750 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 497.750 * * * * [progress]: [ 907 / 2246 ] simplifiying candidate # 497.750 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 497.750 * * [simplify]: iters left: 6 (19 enodes) 497.757 * * [simplify]: iters left: 5 (72 enodes) 497.767 * * [simplify]: iters left: 4 (98 enodes) 497.784 * * [simplify]: iters left: 3 (141 enodes) 497.805 * * [simplify]: iters left: 2 (209 enodes) 497.850 * * [simplify]: iters left: 1 (409 enodes) 498.031 * * [simplify]: Extracting #0: cost 1 inf + 0 498.031 * * [simplify]: Extracting #1: cost 19 inf + 0 498.032 * * [simplify]: Extracting #2: cost 111 inf + 2 498.032 * * [simplify]: Extracting #3: cost 182 inf + 248 498.034 * * [simplify]: Extracting #4: cost 143 inf + 5168 498.038 * * [simplify]: Extracting #5: cost 67 inf + 21176 498.048 * * [simplify]: Extracting #6: cost 9 inf + 38087 498.060 * * [simplify]: Extracting #7: cost 0 inf + 40735 498.072 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 498.072 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))))) 498.073 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1)))) 498.073 * * [simplify]: iters left: 6 (15 enodes) 498.077 * * [simplify]: iters left: 5 (58 enodes) 498.087 * * [simplify]: iters left: 4 (94 enodes) 498.104 * * [simplify]: iters left: 3 (132 enodes) 498.122 * * [simplify]: iters left: 2 (179 enodes) 498.155 * * [simplify]: iters left: 1 (300 enodes) 498.235 * * [simplify]: Extracting #0: cost 1 inf + 0 498.235 * * [simplify]: Extracting #1: cost 0 inf + 1 498.235 * [simplify]: Simplified to 0 498.236 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 498.236 * * * * [progress]: [ 908 / 2246 ] simplifiying candidate # 498.236 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 498.236 * * [simplify]: iters left: 6 (17 enodes) 498.240 * * [simplify]: iters left: 5 (61 enodes) 498.250 * * [simplify]: iters left: 4 (90 enodes) 498.264 * * [simplify]: iters left: 3 (130 enodes) 498.285 * * [simplify]: iters left: 2 (179 enodes) 498.316 * * [simplify]: iters left: 1 (330 enodes) 498.447 * * [simplify]: Extracting #0: cost 1 inf + 0 498.447 * * [simplify]: Extracting #1: cost 19 inf + 0 498.448 * * [simplify]: Extracting #2: cost 110 inf + 2 498.448 * * [simplify]: Extracting #3: cost 155 inf + 167 498.449 * * [simplify]: Extracting #4: cost 137 inf + 2308 498.451 * * [simplify]: Extracting #5: cost 91 inf + 9312 498.457 * * [simplify]: Extracting #6: cost 28 inf + 26093 498.466 * * [simplify]: Extracting #7: cost 0 inf + 34866 498.476 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 498.476 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))))) 498.477 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1))) 498.477 * * [simplify]: iters left: 6 (14 enodes) 498.480 * * [simplify]: iters left: 5 (51 enodes) 498.491 * * [simplify]: iters left: 4 (77 enodes) 498.502 * * [simplify]: iters left: 3 (112 enodes) 498.521 * * [simplify]: iters left: 2 (165 enodes) 498.545 * * [simplify]: iters left: 1 (238 enodes) 498.591 * * [simplify]: Extracting #0: cost 1 inf + 0 498.591 * * [simplify]: Extracting #1: cost 0 inf + 1 498.591 * [simplify]: Simplified to 0 498.591 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 0))) 498.591 * * * * [progress]: [ 909 / 2246 ] simplifiying candidate # 498.591 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 498.591 * * [simplify]: iters left: 6 (18 enodes) 498.595 * * [simplify]: iters left: 5 (71 enodes) 498.607 * * [simplify]: iters left: 4 (143 enodes) 498.638 * * [simplify]: iters left: 3 (307 enodes) 498.731 * * [simplify]: Extracting #0: cost 1 inf + 0 498.731 * * [simplify]: Extracting #1: cost 11 inf + 0 498.731 * * [simplify]: Extracting #2: cost 109 inf + 0 498.732 * * [simplify]: Extracting #3: cost 148 inf + 168 498.732 * * [simplify]: Extracting #4: cost 145 inf + 478 498.733 * * [simplify]: Extracting #5: cost 138 inf + 1622 498.737 * * [simplify]: Extracting #6: cost 71 inf + 26691 498.750 * * [simplify]: Extracting #7: cost 1 inf + 56144 498.764 * * [simplify]: Extracting #8: cost 0 inf + 56603 498.779 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 498.779 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 498.779 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 498.779 * * [simplify]: iters left: 6 (15 enodes) 498.783 * * [simplify]: iters left: 5 (62 enodes) 498.793 * * [simplify]: iters left: 4 (118 enodes) 498.819 * * [simplify]: iters left: 3 (252 enodes) 498.892 * * [simplify]: Extracting #0: cost 1 inf + 0 498.892 * * [simplify]: Extracting #1: cost 0 inf + 1 498.892 * [simplify]: Simplified to 0 498.892 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 498.892 * * * * [progress]: [ 910 / 2246 ] simplifiying candidate # 498.892 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 498.892 * * [simplify]: iters left: 6 (17 enodes) 498.896 * * [simplify]: iters left: 5 (66 enodes) 498.907 * * [simplify]: iters left: 4 (121 enodes) 498.933 * * [simplify]: iters left: 3 (232 enodes) 498.992 * * [simplify]: iters left: 2 (439 enodes) 499.162 * * [simplify]: Extracting #0: cost 1 inf + 0 499.162 * * [simplify]: Extracting #1: cost 35 inf + 0 499.163 * * [simplify]: Extracting #2: cost 114 inf + 3 499.163 * * [simplify]: Extracting #3: cost 147 inf + 46 499.164 * * [simplify]: Extracting #4: cost 138 inf + 847 499.165 * * [simplify]: Extracting #5: cost 124 inf + 2674 499.166 * * [simplify]: Extracting #6: cost 104 inf + 7241 499.174 * * [simplify]: Extracting #7: cost 44 inf + 25785 499.185 * * [simplify]: Extracting #8: cost 1 inf + 40621 499.196 * * [simplify]: Extracting #9: cost 0 inf + 40960 499.208 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 499.208 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 499.208 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 499.208 * * [simplify]: iters left: 6 (14 enodes) 499.212 * * [simplify]: iters left: 5 (57 enodes) 499.221 * * [simplify]: iters left: 4 (98 enodes) 499.239 * * [simplify]: iters left: 3 (181 enodes) 499.282 * * [simplify]: iters left: 2 (360 enodes) 499.400 * * [simplify]: Extracting #0: cost 1 inf + 0 499.400 * * [simplify]: Extracting #1: cost 0 inf + 1 499.400 * [simplify]: Simplified to 0 499.400 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 499.400 * * * * [progress]: [ 911 / 2246 ] simplifiying candidate # 499.401 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 499.401 * * [simplify]: iters left: 6 (16 enodes) 499.405 * * [simplify]: iters left: 5 (60 enodes) 499.414 * * [simplify]: iters left: 4 (89 enodes) 499.428 * * [simplify]: iters left: 3 (129 enodes) 499.447 * * [simplify]: iters left: 2 (178 enodes) 499.480 * * [simplify]: iters left: 1 (330 enodes) 499.613 * * [simplify]: Extracting #0: cost 1 inf + 0 499.613 * * [simplify]: Extracting #1: cost 19 inf + 0 499.614 * * [simplify]: Extracting #2: cost 110 inf + 2 499.614 * * [simplify]: Extracting #3: cost 156 inf + 126 499.615 * * [simplify]: Extracting #4: cost 138 inf + 2099 499.617 * * [simplify]: Extracting #5: cost 92 inf + 9293 499.622 * * [simplify]: Extracting #6: cost 26 inf + 26972 499.632 * * [simplify]: Extracting #7: cost 0 inf + 34866 499.642 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 499.642 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))))) 499.642 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1))) 499.642 * * [simplify]: iters left: 6 (13 enodes) 499.646 * * [simplify]: iters left: 5 (50 enodes) 499.654 * * [simplify]: iters left: 4 (76 enodes) 499.665 * * [simplify]: iters left: 3 (111 enodes) 499.683 * * [simplify]: iters left: 2 (147 enodes) 499.706 * * [simplify]: iters left: 1 (234 enodes) 499.752 * * [simplify]: Extracting #0: cost 1 inf + 0 499.752 * * [simplify]: Extracting #1: cost 0 inf + 1 499.752 * [simplify]: Simplified to 0 499.752 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 0))) 499.752 * * * * [progress]: [ 912 / 2246 ] simplifiying candidate # 499.753 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 499.753 * * [simplify]: iters left: 6 (18 enodes) 499.759 * * [simplify]: iters left: 5 (71 enodes) 499.769 * * [simplify]: iters left: 4 (97 enodes) 499.784 * * [simplify]: iters left: 3 (140 enodes) 499.807 * * [simplify]: iters left: 2 (208 enodes) 499.850 * * [simplify]: iters left: 1 (409 enodes) 500.032 * * [simplify]: Extracting #0: cost 1 inf + 0 500.032 * * [simplify]: Extracting #1: cost 19 inf + 0 500.033 * * [simplify]: Extracting #2: cost 111 inf + 2 500.033 * * [simplify]: Extracting #3: cost 180 inf + 412 500.035 * * [simplify]: Extracting #4: cost 133 inf + 6845 500.038 * * [simplify]: Extracting #5: cost 80 inf + 17496 500.048 * * [simplify]: Extracting #6: cost 14 inf + 36229 500.062 * * [simplify]: Extracting #7: cost 0 inf + 40735 500.074 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 500.074 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))))) 500.074 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1)))) 500.074 * * [simplify]: iters left: 6 (14 enodes) 500.079 * * [simplify]: iters left: 5 (57 enodes) 500.089 * * [simplify]: iters left: 4 (93 enodes) 500.103 * * [simplify]: iters left: 3 (131 enodes) 500.122 * * [simplify]: iters left: 2 (178 enodes) 500.156 * * [simplify]: iters left: 1 (299 enodes) 500.235 * * [simplify]: Extracting #0: cost 1 inf + 0 500.235 * * [simplify]: Extracting #1: cost 0 inf + 1 500.235 * [simplify]: Simplified to 0 500.235 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 500.236 * * * * [progress]: [ 913 / 2246 ] simplifiying candidate # 500.236 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 500.236 * * [simplify]: iters left: 6 (18 enodes) 500.244 * * [simplify]: iters left: 5 (71 enodes) 500.255 * * [simplify]: iters left: 4 (97 enodes) 500.269 * * [simplify]: iters left: 3 (140 enodes) 500.290 * * [simplify]: iters left: 2 (208 enodes) 500.335 * * [simplify]: iters left: 1 (409 enodes) 500.519 * * [simplify]: Extracting #0: cost 1 inf + 0 500.519 * * [simplify]: Extracting #1: cost 19 inf + 0 500.519 * * [simplify]: Extracting #2: cost 111 inf + 2 500.520 * * [simplify]: Extracting #3: cost 180 inf + 412 500.521 * * [simplify]: Extracting #4: cost 133 inf + 6845 500.525 * * [simplify]: Extracting #5: cost 80 inf + 17496 500.534 * * [simplify]: Extracting #6: cost 14 inf + 36229 500.547 * * [simplify]: Extracting #7: cost 0 inf + 40735 500.558 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 500.558 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))))) 500.559 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1)))) 500.559 * * [simplify]: iters left: 6 (14 enodes) 500.563 * * [simplify]: iters left: 5 (57 enodes) 500.575 * * [simplify]: iters left: 4 (93 enodes) 500.590 * * [simplify]: iters left: 3 (131 enodes) 500.608 * * [simplify]: iters left: 2 (178 enodes) 500.643 * * [simplify]: iters left: 1 (299 enodes) 500.721 * * [simplify]: Extracting #0: cost 1 inf + 0 500.722 * * [simplify]: Extracting #1: cost 0 inf + 1 500.722 * [simplify]: Simplified to 0 500.722 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 500.722 * * * * [progress]: [ 914 / 2246 ] simplifiying candidate # 500.722 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 500.722 * * [simplify]: iters left: 6 (16 enodes) 500.726 * * [simplify]: iters left: 5 (60 enodes) 500.736 * * [simplify]: iters left: 4 (89 enodes) 500.752 * * [simplify]: iters left: 3 (129 enodes) 500.770 * * [simplify]: iters left: 2 (178 enodes) 500.802 * * [simplify]: iters left: 1 (330 enodes) 500.933 * * [simplify]: Extracting #0: cost 1 inf + 0 500.933 * * [simplify]: Extracting #1: cost 19 inf + 0 500.933 * * [simplify]: Extracting #2: cost 110 inf + 2 500.934 * * [simplify]: Extracting #3: cost 156 inf + 126 500.935 * * [simplify]: Extracting #4: cost 138 inf + 2099 500.936 * * [simplify]: Extracting #5: cost 92 inf + 9293 500.942 * * [simplify]: Extracting #6: cost 26 inf + 26972 500.952 * * [simplify]: Extracting #7: cost 0 inf + 34866 500.963 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 500.963 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))))) 500.964 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1))) 500.964 * * [simplify]: iters left: 6 (13 enodes) 500.967 * * [simplify]: iters left: 5 (50 enodes) 500.975 * * [simplify]: iters left: 4 (76 enodes) 500.987 * * [simplify]: iters left: 3 (111 enodes) 501.003 * * [simplify]: iters left: 2 (147 enodes) 501.027 * * [simplify]: iters left: 1 (234 enodes) 501.072 * * [simplify]: Extracting #0: cost 1 inf + 0 501.072 * * [simplify]: Extracting #1: cost 0 inf + 1 501.072 * [simplify]: Simplified to 0 501.072 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 0))) 501.072 * * * * [progress]: [ 915 / 2246 ] simplifiying candidate # 501.072 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 501.073 * * [simplify]: iters left: 6 (19 enodes) 501.077 * * [simplify]: iters left: 5 (74 enodes) 501.091 * * [simplify]: iters left: 4 (150 enodes) 501.118 * * [simplify]: iters left: 3 (299 enodes) 501.190 * * [simplify]: Extracting #0: cost 1 inf + 0 501.190 * * [simplify]: Extracting #1: cost 11 inf + 0 501.190 * * [simplify]: Extracting #2: cost 99 inf + 0 501.191 * * [simplify]: Extracting #3: cost 153 inf + 168 501.192 * * [simplify]: Extracting #4: cost 150 inf + 519 501.192 * * [simplify]: Extracting #5: cost 139 inf + 2108 501.197 * * [simplify]: Extracting #6: cost 61 inf + 31173 501.212 * * [simplify]: Extracting #7: cost 1 inf + 55598 501.227 * * [simplify]: Extracting #8: cost 0 inf + 55890 501.241 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 501.241 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (- (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 501.241 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 501.242 * * [simplify]: iters left: 6 (16 enodes) 501.245 * * [simplify]: iters left: 5 (65 enodes) 501.256 * * [simplify]: iters left: 4 (125 enodes) 501.278 * * [simplify]: iters left: 3 (242 enodes) 501.334 * * [simplify]: Extracting #0: cost 1 inf + 0 501.334 * * [simplify]: Extracting #1: cost 0 inf + 1 501.334 * [simplify]: Simplified to 0 501.334 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 501.334 * * * * [progress]: [ 916 / 2246 ] simplifiying candidate # 501.334 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 501.334 * * [simplify]: iters left: 6 (18 enodes) 501.340 * * [simplify]: iters left: 5 (69 enodes) 501.352 * * [simplify]: iters left: 4 (126 enodes) 501.372 * * [simplify]: iters left: 3 (215 enodes) 501.419 * * [simplify]: iters left: 2 (451 enodes) 501.622 * * [simplify]: Extracting #0: cost 1 inf + 0 501.622 * * [simplify]: Extracting #1: cost 32 inf + 0 501.622 * * [simplify]: Extracting #2: cost 135 inf + 3 501.623 * * [simplify]: Extracting #3: cost 159 inf + 208 501.624 * * [simplify]: Extracting #4: cost 151 inf + 944 501.625 * * [simplify]: Extracting #5: cost 122 inf + 5100 501.631 * * [simplify]: Extracting #6: cost 41 inf + 29800 501.644 * * [simplify]: Extracting #7: cost 0 inf + 43603 501.659 * * [simplify]: Extracting #8: cost 0 inf + 43600 501.672 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 501.672 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 501.672 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 501.672 * * [simplify]: iters left: 6 (15 enodes) 501.676 * * [simplify]: iters left: 5 (60 enodes) 501.685 * * [simplify]: iters left: 4 (103 enodes) 501.701 * * [simplify]: iters left: 3 (167 enodes) 501.737 * * [simplify]: iters left: 2 (361 enodes) 501.862 * * [simplify]: Extracting #0: cost 1 inf + 0 501.862 * * [simplify]: Extracting #1: cost 0 inf + 1 501.862 * [simplify]: Simplified to 0 501.862 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 501.862 * * * * [progress]: [ 917 / 2246 ] simplifiying candidate # 501.862 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 501.862 * * [simplify]: iters left: 6 (17 enodes) 501.867 * * [simplify]: iters left: 5 (63 enodes) 501.879 * * [simplify]: iters left: 4 (106 enodes) 501.895 * * [simplify]: iters left: 3 (163 enodes) 501.917 * * [simplify]: iters left: 2 (230 enodes) 501.954 * * [simplify]: iters left: 1 (357 enodes) 502.039 * * [simplify]: Extracting #0: cost 1 inf + 0 502.039 * * [simplify]: Extracting #1: cost 22 inf + 0 502.040 * * [simplify]: Extracting #2: cost 115 inf + 2 502.040 * * [simplify]: Extracting #3: cost 136 inf + 47 502.041 * * [simplify]: Extracting #4: cost 125 inf + 1388 502.042 * * [simplify]: Extracting #5: cost 89 inf + 6761 502.049 * * [simplify]: Extracting #6: cost 19 inf + 26174 502.058 * * [simplify]: Extracting #7: cost 0 inf + 31918 502.067 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 502.067 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))))) 502.067 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1))) 502.067 * * [simplify]: iters left: 6 (14 enodes) 502.071 * * [simplify]: iters left: 5 (53 enodes) 502.079 * * [simplify]: iters left: 4 (92 enodes) 502.092 * * [simplify]: iters left: 3 (137 enodes) 502.111 * * [simplify]: iters left: 2 (188 enodes) 502.138 * * [simplify]: iters left: 1 (283 enodes) 502.184 * * [simplify]: Extracting #0: cost 1 inf + 0 502.184 * * [simplify]: Extracting #1: cost 0 inf + 1 502.184 * [simplify]: Simplified to 0 502.184 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 0))) 502.184 * * * * [progress]: [ 918 / 2246 ] simplifiying candidate # 502.185 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 502.185 * * [simplify]: iters left: 6 (19 enodes) 502.191 * * [simplify]: iters left: 5 (74 enodes) 502.201 * * [simplify]: iters left: 4 (107 enodes) 502.217 * * [simplify]: iters left: 3 (174 enodes) 502.247 * * [simplify]: iters left: 2 (277 enodes) 502.300 * * [simplify]: iters left: 1 (462 enodes) 502.462 * * [simplify]: Extracting #0: cost 1 inf + 0 502.462 * * [simplify]: Extracting #1: cost 22 inf + 0 502.462 * * [simplify]: Extracting #2: cost 110 inf + 2 502.463 * * [simplify]: Extracting #3: cost 148 inf + 373 502.464 * * [simplify]: Extracting #4: cost 137 inf + 2128 502.465 * * [simplify]: Extracting #5: cost 98 inf + 7547 502.470 * * [simplify]: Extracting #6: cost 49 inf + 20121 502.480 * * [simplify]: Extracting #7: cost 2 inf + 34684 502.490 * * [simplify]: Extracting #8: cost 0 inf + 35454 502.501 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 502.501 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))))) 502.501 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1)))) 502.501 * * [simplify]: iters left: 6 (15 enodes) 502.507 * * [simplify]: iters left: 5 (60 enodes) 502.518 * * [simplify]: iters left: 4 (93 enodes) 502.532 * * [simplify]: iters left: 3 (149 enodes) 502.554 * * [simplify]: iters left: 2 (229 enodes) 502.594 * * [simplify]: iters left: 1 (341 enodes) 502.668 * * [simplify]: Extracting #0: cost 1 inf + 0 502.668 * * [simplify]: Extracting #1: cost 0 inf + 1 502.668 * [simplify]: Simplified to 0 502.668 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 502.669 * * * * [progress]: [ 919 / 2246 ] simplifiying candidate # 502.669 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 502.669 * * [simplify]: iters left: 6 (19 enodes) 502.675 * * [simplify]: iters left: 5 (74 enodes) 502.686 * * [simplify]: iters left: 4 (107 enodes) 502.703 * * [simplify]: iters left: 3 (174 enodes) 502.731 * * [simplify]: iters left: 2 (277 enodes) 502.785 * * [simplify]: iters left: 1 (462 enodes) 502.947 * * [simplify]: Extracting #0: cost 1 inf + 0 502.947 * * [simplify]: Extracting #1: cost 22 inf + 0 502.947 * * [simplify]: Extracting #2: cost 110 inf + 2 502.948 * * [simplify]: Extracting #3: cost 148 inf + 373 502.949 * * [simplify]: Extracting #4: cost 137 inf + 2128 502.950 * * [simplify]: Extracting #5: cost 98 inf + 7547 502.954 * * [simplify]: Extracting #6: cost 49 inf + 20121 502.964 * * [simplify]: Extracting #7: cost 2 inf + 34684 502.977 * * [simplify]: Extracting #8: cost 0 inf + 35454 502.988 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 502.988 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))))) 502.988 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1)))) 502.988 * * [simplify]: iters left: 6 (15 enodes) 502.994 * * [simplify]: iters left: 5 (60 enodes) 503.003 * * [simplify]: iters left: 4 (93 enodes) 503.017 * * [simplify]: iters left: 3 (149 enodes) 503.038 * * [simplify]: iters left: 2 (229 enodes) 503.078 * * [simplify]: iters left: 1 (341 enodes) 503.153 * * [simplify]: Extracting #0: cost 1 inf + 0 503.153 * * [simplify]: Extracting #1: cost 0 inf + 1 503.153 * [simplify]: Simplified to 0 503.153 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 503.153 * * * * [progress]: [ 920 / 2246 ] simplifiying candidate # 503.155 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 503.155 * * [simplify]: iters left: 6 (17 enodes) 503.159 * * [simplify]: iters left: 5 (63 enodes) 503.170 * * [simplify]: iters left: 4 (106 enodes) 503.185 * * [simplify]: iters left: 3 (163 enodes) 503.208 * * [simplify]: iters left: 2 (230 enodes) 503.245 * * [simplify]: iters left: 1 (357 enodes) 503.332 * * [simplify]: Extracting #0: cost 1 inf + 0 503.332 * * [simplify]: Extracting #1: cost 22 inf + 0 503.333 * * [simplify]: Extracting #2: cost 115 inf + 2 503.333 * * [simplify]: Extracting #3: cost 136 inf + 47 503.334 * * [simplify]: Extracting #4: cost 125 inf + 1388 503.335 * * [simplify]: Extracting #5: cost 89 inf + 6761 503.340 * * [simplify]: Extracting #6: cost 19 inf + 26174 503.349 * * [simplify]: Extracting #7: cost 0 inf + 31918 503.358 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 503.358 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))))) 503.358 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1))) 503.358 * * [simplify]: iters left: 6 (14 enodes) 503.362 * * [simplify]: iters left: 5 (53 enodes) 503.371 * * [simplify]: iters left: 4 (92 enodes) 503.383 * * [simplify]: iters left: 3 (137 enodes) 503.404 * * [simplify]: iters left: 2 (188 enodes) 503.431 * * [simplify]: iters left: 1 (283 enodes) 503.477 * * [simplify]: Extracting #0: cost 1 inf + 0 503.477 * * [simplify]: Extracting #1: cost 0 inf + 1 503.477 * [simplify]: Simplified to 0 503.477 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 0))) 503.477 * * * * [progress]: [ 921 / 2246 ] simplifiying candidate # 503.477 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))) 503.477 * * [simplify]: iters left: 6 (15 enodes) 503.481 * * [simplify]: iters left: 5 (57 enodes) 503.491 * * [simplify]: iters left: 4 (91 enodes) 503.506 * * [simplify]: iters left: 3 (128 enodes) 503.523 * * [simplify]: iters left: 2 (169 enodes) 503.557 * * [simplify]: iters left: 1 (321 enodes) 503.676 * * [simplify]: Extracting #0: cost 1 inf + 0 503.676 * * [simplify]: Extracting #1: cost 19 inf + 0 503.676 * * [simplify]: Extracting #2: cost 99 inf + 2 503.677 * * [simplify]: Extracting #3: cost 143 inf + 208 503.678 * * [simplify]: Extracting #4: cost 127 inf + 2065 503.681 * * [simplify]: Extracting #5: cost 100 inf + 5807 503.683 * * [simplify]: Extracting #6: cost 66 inf + 11936 503.689 * * [simplify]: Extracting #7: cost 15 inf + 27253 503.698 * * [simplify]: Extracting #8: cost 0 inf + 31625 503.707 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 503.707 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1 (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))))) 503.707 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1 (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1)) 503.707 * * [simplify]: iters left: 6 (12 enodes) 503.710 * * [simplify]: iters left: 5 (47 enodes) 503.719 * * [simplify]: iters left: 4 (79 enodes) 503.730 * * [simplify]: iters left: 3 (107 enodes) 503.751 * * [simplify]: iters left: 2 (167 enodes) 503.776 * * [simplify]: iters left: 1 (239 enodes) 503.821 * * [simplify]: Extracting #0: cost 1 inf + 0 503.821 * * [simplify]: Extracting #1: cost 0 inf + 1 503.821 * [simplify]: Simplified to 0 503.821 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))) 0))) 503.822 * * * * [progress]: [ 922 / 2246 ] simplifiying candidate # 503.822 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))) 503.822 * * [simplify]: iters left: 6 (15 enodes) 503.825 * * [simplify]: iters left: 5 (58 enodes) 503.835 * * [simplify]: iters left: 4 (100 enodes) 503.851 * * [simplify]: iters left: 3 (162 enodes) 503.884 * * [simplify]: iters left: 2 (288 enodes) 503.962 * * [simplify]: Extracting #0: cost 1 inf + 0 503.962 * * [simplify]: Extracting #1: cost 22 inf + 0 503.962 * * [simplify]: Extracting #2: cost 84 inf + 4 503.963 * * [simplify]: Extracting #3: cost 114 inf + 578 503.963 * * [simplify]: Extracting #4: cost 97 inf + 2682 503.967 * * [simplify]: Extracting #5: cost 19 inf + 21616 503.975 * * [simplify]: Extracting #6: cost 0 inf + 26813 503.982 * [simplify]: Simplified to (* (- 1/2 (/ 1/2 (hypot 1 x))) (/ 1 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 503.982 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (- 1/2 (/ 1/2 (hypot 1 x))) (/ 1 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (hypot 1 x)) (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))))) 503.983 * [simplify]: Simplifying (fma (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (hypot 1 x)) (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x)))) 503.983 * * [simplify]: iters left: 6 (12 enodes) 503.986 * * [simplify]: iters left: 5 (50 enodes) 503.996 * * [simplify]: iters left: 4 (76 enodes) 504.008 * * [simplify]: iters left: 3 (143 enodes) 504.035 * * [simplify]: iters left: 2 (233 enodes) 504.080 * * [simplify]: iters left: 1 (369 enodes) 504.164 * * [simplify]: Extracting #0: cost 1 inf + 0 504.164 * * [simplify]: Extracting #1: cost 0 inf + 1 504.164 * [simplify]: Simplified to 0 504.164 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))) 0))) 504.164 * * * * [progress]: [ 923 / 2246 ] simplifiying candidate # 504.165 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 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))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))) 504.165 * * [simplify]: iters left: 6 (24 enodes) 504.172 * * [simplify]: iters left: 5 (98 enodes) 504.191 * * [simplify]: iters left: 4 (243 enodes) 504.252 * * [simplify]: Extracting #0: cost 1 inf + 0 504.252 * * [simplify]: Extracting #1: cost 11 inf + 0 504.252 * * [simplify]: Extracting #2: cost 102 inf + 0 504.252 * * [simplify]: Extracting #3: cost 171 inf + 87 504.253 * * [simplify]: Extracting #4: cost 175 inf + 300 504.254 * * [simplify]: Extracting #5: cost 140 inf + 8374 504.262 * * [simplify]: Extracting #6: cost 43 inf + 36183 504.273 * * [simplify]: Extracting #7: cost 3 inf + 49674 504.284 * * [simplify]: Extracting #8: cost 0 inf + 50849 504.295 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (fma (/ (/ 1/2 (hypot 1 x)) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)) (- (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)))) 504.295 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (fma (/ (/ 1/2 (hypot 1 x)) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)) (- (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)))) (fma (- (+ (* 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 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (* (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))))) 504.295 * [simplify]: Simplifying (fma (- (+ (* 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 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (* (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))))) 504.295 * * [simplify]: iters left: 6 (20 enodes) 504.303 * * [simplify]: iters left: 5 (87 enodes) 504.320 * * [simplify]: iters left: 4 (224 enodes) 504.383 * * [simplify]: Extracting #0: cost 1 inf + 0 504.383 * * [simplify]: Extracting #1: cost 14 inf + 0 504.383 * * [simplify]: Extracting #2: cost 116 inf + 0 504.384 * * [simplify]: Extracting #3: cost 173 inf + 989 504.387 * * [simplify]: Extracting #4: cost 109 inf + 16215 504.395 * * [simplify]: Extracting #5: cost 31 inf + 40092 504.406 * * [simplify]: Extracting #6: cost 1 inf + 50253 504.417 * * [simplify]: Extracting #7: cost 0 inf + 50642 504.428 * [simplify]: Simplified to (- (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 504.428 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 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))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))) (- (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))))) 504.429 * * * * [progress]: [ 924 / 2246 ] simplifiying candidate # 504.429 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 504.429 * * [simplify]: iters left: 6 (19 enodes) 504.434 * * [simplify]: iters left: 5 (71 enodes) 504.447 * * [simplify]: iters left: 4 (134 enodes) 504.471 * * [simplify]: iters left: 3 (281 enodes) 504.533 * * [simplify]: Extracting #0: cost 1 inf + 0 504.533 * * [simplify]: Extracting #1: cost 17 inf + 0 504.533 * * [simplify]: Extracting #2: cost 107 inf + 0 504.534 * * [simplify]: Extracting #3: cost 151 inf + 168 504.534 * * [simplify]: Extracting #4: cost 166 inf + 796 504.536 * * [simplify]: Extracting #5: cost 118 inf + 8007 504.541 * * [simplify]: Extracting #6: cost 26 inf + 32720 504.550 * * [simplify]: Extracting #7: cost 1 inf + 39977 504.559 * * [simplify]: Extracting #8: cost 0 inf + 40275 504.568 * [simplify]: Simplified to (fma (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1) (/ (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 504.568 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1) (/ (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 504.568 * [simplify]: Simplifying (fma (- (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 504.569 * * [simplify]: iters left: 6 (15 enodes) 504.573 * * [simplify]: iters left: 5 (56 enodes) 504.584 * * [simplify]: iters left: 4 (109 enodes) 504.604 * * [simplify]: iters left: 3 (271 enodes) 504.668 * * [simplify]: Extracting #0: cost 1 inf + 0 504.668 * * [simplify]: Extracting #1: cost 0 inf + 1 504.668 * [simplify]: Simplified to 0 504.668 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 504.669 * * * * [progress]: [ 925 / 2246 ] simplifiying candidate # 504.669 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 504.669 * * [simplify]: iters left: 6 (19 enodes) 504.675 * * [simplify]: iters left: 5 (73 enodes) 504.685 * * [simplify]: iters left: 4 (102 enodes) 504.700 * * [simplify]: iters left: 3 (141 enodes) 504.724 * * [simplify]: iters left: 2 (202 enodes) 504.757 * * [simplify]: iters left: 1 (337 enodes) 504.819 * * [simplify]: Extracting #0: cost 1 inf + 0 504.819 * * [simplify]: Extracting #1: cost 13 inf + 0 504.819 * * [simplify]: Extracting #2: cost 77 inf + 0 504.819 * * [simplify]: Extracting #3: cost 127 inf + 4 504.820 * * [simplify]: Extracting #4: cost 120 inf + 798 504.821 * * [simplify]: Extracting #5: cost 105 inf + 2964 504.823 * * [simplify]: Extracting #6: cost 72 inf + 11551 504.828 * * [simplify]: Extracting #7: cost 54 inf + 18510 504.835 * * [simplify]: Extracting #8: cost 17 inf + 43839 504.847 * * [simplify]: Extracting #9: cost 0 inf + 58814 504.857 * * [simplify]: Extracting #10: cost 0 inf + 58774 504.867 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 504.867 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 504.867 * [simplify]: Simplifying (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 504.867 * * [simplify]: iters left: 6 (14 enodes) 504.871 * * [simplify]: iters left: 5 (53 enodes) 504.879 * * [simplify]: iters left: 4 (76 enodes) 504.892 * * [simplify]: iters left: 3 (134 enodes) 504.914 * * [simplify]: iters left: 2 (194 enodes) 504.945 * * [simplify]: iters left: 1 (293 enodes) 504.991 * * [simplify]: Extracting #0: cost 1 inf + 0 504.991 * * [simplify]: Extracting #1: cost 0 inf + 1 504.991 * [simplify]: Simplified to 0 504.991 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 504.992 * * * * [progress]: [ 926 / 2246 ] simplifiying candidate # 504.992 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 504.992 * * [simplify]: iters left: 6 (18 enodes) 504.997 * * [simplify]: iters left: 5 (64 enodes) 505.006 * * [simplify]: iters left: 4 (84 enodes) 505.017 * * [simplify]: iters left: 3 (104 enodes) 505.030 * * [simplify]: iters left: 2 (130 enodes) 505.048 * * [simplify]: iters left: 1 (190 enodes) 505.079 * * [simplify]: Extracting #0: cost 1 inf + 0 505.079 * * [simplify]: Extracting #1: cost 11 inf + 0 505.079 * * [simplify]: Extracting #2: cost 44 inf + 0 505.080 * * [simplify]: Extracting #3: cost 66 inf + 44 505.080 * * [simplify]: Extracting #4: cost 54 inf + 1507 505.081 * * [simplify]: Extracting #5: cost 39 inf + 4114 505.083 * * [simplify]: Extracting #6: cost 18 inf + 9884 505.086 * * [simplify]: Extracting #7: cost 2 inf + 15009 505.090 * * [simplify]: Extracting #8: cost 0 inf + 15595 505.094 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 505.094 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 505.094 * [simplify]: Simplifying (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 505.094 * * [simplify]: iters left: 6 (13 enodes) 505.097 * * [simplify]: iters left: 5 (45 enodes) 505.103 * * [simplify]: iters left: 4 (60 enodes) 505.112 * * [simplify]: iters left: 3 (85 enodes) 505.126 * * [simplify]: iters left: 2 (102 enodes) 505.139 * * [simplify]: iters left: 1 (126 enodes) 505.154 * * [simplify]: Extracting #0: cost 1 inf + 0 505.154 * * [simplify]: Extracting #1: cost 0 inf + 1 505.154 * [simplify]: Simplified to 0 505.154 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 505.154 * * * * [progress]: [ 927 / 2246 ] simplifiying candidate # 505.154 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))) 505.155 * * [simplify]: iters left: 6 (22 enodes) 505.161 * * [simplify]: iters left: 5 (87 enodes) 505.174 * * [simplify]: iters left: 4 (168 enodes) 505.207 * * [simplify]: iters left: 3 (322 enodes) 505.271 * * [simplify]: Extracting #0: cost 1 inf + 0 505.271 * * [simplify]: Extracting #1: cost 11 inf + 0 505.271 * * [simplify]: Extracting #2: cost 69 inf + 0 505.272 * * [simplify]: Extracting #3: cost 106 inf + 3 505.272 * * [simplify]: Extracting #4: cost 108 inf + 127 505.273 * * [simplify]: Extracting #5: cost 105 inf + 227 505.273 * * [simplify]: Extracting #6: cost 98 inf + 1072 505.275 * * [simplify]: Extracting #7: cost 61 inf + 13389 505.284 * * [simplify]: Extracting #8: cost 3 inf + 39568 505.294 * * [simplify]: Extracting #9: cost 0 inf + 40942 505.304 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 505.304 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))))) 505.305 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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)))))))) 505.305 * * [simplify]: iters left: 6 (17 enodes) 505.309 * * [simplify]: iters left: 5 (69 enodes) 505.320 * * [simplify]: iters left: 4 (135 enodes) 505.350 * * [simplify]: iters left: 3 (301 enodes) 505.411 * * [simplify]: Extracting #0: cost 1 inf + 0 505.411 * * [simplify]: Extracting #1: cost 0 inf + 1 505.412 * [simplify]: Simplified to 0 505.412 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 505.412 * * * * [progress]: [ 928 / 2246 ] simplifiying candidate # 505.412 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 505.412 * * [simplify]: iters left: 6 (21 enodes) 505.418 * * [simplify]: iters left: 5 (81 enodes) 505.430 * * [simplify]: iters left: 4 (131 enodes) 505.451 * * [simplify]: iters left: 3 (203 enodes) 505.481 * * [simplify]: iters left: 2 (279 enodes) 505.532 * * [simplify]: iters left: 1 (410 enodes) 505.633 * * [simplify]: Extracting #0: cost 1 inf + 0 505.633 * * [simplify]: Extracting #1: cost 11 inf + 0 505.634 * * [simplify]: Extracting #2: cost 82 inf + 0 505.634 * * [simplify]: Extracting #3: cost 156 inf + 3 505.635 * * [simplify]: Extracting #4: cost 152 inf + 244 505.635 * * [simplify]: Extracting #5: cost 144 inf + 1075 505.639 * * [simplify]: Extracting #6: cost 77 inf + 24736 505.650 * * [simplify]: Extracting #7: cost 6 inf + 56266 505.662 * * [simplify]: Extracting #8: cost 0 inf + 58966 505.674 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 505.674 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 505.674 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 505.674 * * [simplify]: iters left: 6 (16 enodes) 505.678 * * [simplify]: iters left: 5 (63 enodes) 505.688 * * [simplify]: iters left: 4 (100 enodes) 505.705 * * [simplify]: iters left: 3 (175 enodes) 505.734 * * [simplify]: iters left: 2 (267 enodes) 505.779 * * [simplify]: iters left: 1 (373 enodes) 505.844 * * [simplify]: Extracting #0: cost 1 inf + 0 505.844 * * [simplify]: Extracting #1: cost 0 inf + 1 505.844 * [simplify]: Simplified to 0 505.844 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 505.844 * * * * [progress]: [ 929 / 2246 ] simplifiying candidate # 505.845 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 505.845 * * [simplify]: iters left: 6 (20 enodes) 505.850 * * [simplify]: iters left: 5 (76 enodes) 505.862 * * [simplify]: iters left: 4 (133 enodes) 505.886 * * [simplify]: iters left: 3 (224 enodes) 505.938 * * [simplify]: iters left: 2 (389 enodes) 506.038 * * [simplify]: Extracting #0: cost 1 inf + 0 506.038 * * [simplify]: Extracting #1: cost 13 inf + 0 506.038 * * [simplify]: Extracting #2: cost 62 inf + 0 506.038 * * [simplify]: Extracting #3: cost 112 inf + 3 506.039 * * [simplify]: Extracting #4: cost 109 inf + 244 506.039 * * [simplify]: Extracting #5: cost 102 inf + 978 506.041 * * [simplify]: Extracting #6: cost 64 inf + 12670 506.049 * * [simplify]: Extracting #7: cost 12 inf + 34394 506.056 * * [simplify]: Extracting #8: cost 0 inf + 39716 506.064 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 506.064 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))))) 506.064 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1))) 506.064 * * [simplify]: iters left: 6 (15 enodes) 506.068 * * [simplify]: iters left: 5 (58 enodes) 506.077 * * [simplify]: iters left: 4 (100 enodes) 506.095 * * [simplify]: iters left: 3 (192 enodes) 506.139 * * [simplify]: iters left: 2 (333 enodes) 506.217 * * [simplify]: Extracting #0: cost 1 inf + 0 506.217 * * [simplify]: Extracting #1: cost 0 inf + 1 506.217 * [simplify]: Simplified to 0 506.217 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 506.217 * * * * [progress]: [ 930 / 2246 ] simplifiying candidate # 506.217 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 506.217 * * [simplify]: iters left: 6 (19 enodes) 506.223 * * [simplify]: iters left: 5 (74 enodes) 506.236 * * [simplify]: iters left: 4 (114 enodes) 506.254 * * [simplify]: iters left: 3 (198 enodes) 506.291 * * [simplify]: iters left: 2 (296 enodes) 506.355 * * [simplify]: iters left: 1 (404 enodes) 506.443 * * [simplify]: Extracting #0: cost 1 inf + 0 506.443 * * [simplify]: Extracting #1: cost 11 inf + 0 506.443 * * [simplify]: Extracting #2: cost 53 inf + 0 506.444 * * [simplify]: Extracting #3: cost 106 inf + 3 506.444 * * [simplify]: Extracting #4: cost 105 inf + 146 506.445 * * [simplify]: Extracting #5: cost 97 inf + 994 506.447 * * [simplify]: Extracting #6: cost 46 inf + 17896 506.453 * * [simplify]: Extracting #7: cost 5 inf + 35874 506.460 * * [simplify]: Extracting #8: cost 0 inf + 37564 506.468 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 506.468 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))))) 506.468 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)))) 506.469 * * [simplify]: iters left: 6 (16 enodes) 506.475 * * [simplify]: iters left: 5 (63 enodes) 506.484 * * [simplify]: iters left: 4 (94 enodes) 506.500 * * [simplify]: iters left: 3 (179 enodes) 506.537 * * [simplify]: iters left: 2 (303 enodes) 506.600 * * [simplify]: iters left: 1 (423 enodes) 506.701 * * [simplify]: Extracting #0: cost 1 inf + 0 506.701 * * [simplify]: Extracting #1: cost 0 inf + 1 506.701 * [simplify]: Simplified to 0 506.701 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 506.701 * * * * [progress]: [ 931 / 2246 ] simplifiying candidate # 506.702 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 506.702 * * [simplify]: iters left: 6 (19 enodes) 506.707 * * [simplify]: iters left: 5 (74 enodes) 506.718 * * [simplify]: iters left: 4 (114 enodes) 506.736 * * [simplify]: iters left: 3 (198 enodes) 506.774 * * [simplify]: iters left: 2 (296 enodes) 506.838 * * [simplify]: iters left: 1 (404 enodes) 506.926 * * [simplify]: Extracting #0: cost 1 inf + 0 506.926 * * [simplify]: Extracting #1: cost 11 inf + 0 506.926 * * [simplify]: Extracting #2: cost 53 inf + 0 506.927 * * [simplify]: Extracting #3: cost 106 inf + 3 506.927 * * [simplify]: Extracting #4: cost 105 inf + 146 506.928 * * [simplify]: Extracting #5: cost 97 inf + 994 506.930 * * [simplify]: Extracting #6: cost 46 inf + 17896 506.938 * * [simplify]: Extracting #7: cost 5 inf + 35874 506.945 * * [simplify]: Extracting #8: cost 0 inf + 37564 506.953 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 506.953 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))))) 506.953 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)))) 506.953 * * [simplify]: iters left: 6 (16 enodes) 506.958 * * [simplify]: iters left: 5 (63 enodes) 506.967 * * [simplify]: iters left: 4 (94 enodes) 506.983 * * [simplify]: iters left: 3 (179 enodes) 507.021 * * [simplify]: iters left: 2 (303 enodes) 507.085 * * [simplify]: iters left: 1 (423 enodes) 507.186 * * [simplify]: Extracting #0: cost 1 inf + 0 507.186 * * [simplify]: Extracting #1: cost 0 inf + 1 507.186 * [simplify]: Simplified to 0 507.186 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 507.186 * * * * [progress]: [ 932 / 2246 ] simplifiying candidate # 507.186 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 507.186 * * [simplify]: iters left: 6 (20 enodes) 507.192 * * [simplify]: iters left: 5 (76 enodes) 507.204 * * [simplify]: iters left: 4 (133 enodes) 507.226 * * [simplify]: iters left: 3 (224 enodes) 507.277 * * [simplify]: iters left: 2 (389 enodes) 507.377 * * [simplify]: Extracting #0: cost 1 inf + 0 507.377 * * [simplify]: Extracting #1: cost 13 inf + 0 507.377 * * [simplify]: Extracting #2: cost 62 inf + 0 507.377 * * [simplify]: Extracting #3: cost 112 inf + 3 507.378 * * [simplify]: Extracting #4: cost 109 inf + 244 507.378 * * [simplify]: Extracting #5: cost 102 inf + 978 507.380 * * [simplify]: Extracting #6: cost 64 inf + 12670 507.386 * * [simplify]: Extracting #7: cost 12 inf + 34394 507.393 * * [simplify]: Extracting #8: cost 0 inf + 39716 507.401 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 507.401 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))))) 507.401 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1))) 507.401 * * [simplify]: iters left: 6 (15 enodes) 507.405 * * [simplify]: iters left: 5 (58 enodes) 507.416 * * [simplify]: iters left: 4 (100 enodes) 507.433 * * [simplify]: iters left: 3 (192 enodes) 507.476 * * [simplify]: iters left: 2 (333 enodes) 507.554 * * [simplify]: Extracting #0: cost 1 inf + 0 507.554 * * [simplify]: Extracting #1: cost 0 inf + 1 507.554 * [simplify]: Simplified to 0 507.554 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 507.554 * * * * [progress]: [ 933 / 2246 ] simplifiying candidate # 507.555 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 507.555 * * [simplify]: iters left: 6 (21 enodes) 507.560 * * [simplify]: iters left: 5 (80 enodes) 507.572 * * [simplify]: iters left: 4 (129 enodes) 507.593 * * [simplify]: iters left: 3 (184 enodes) 507.618 * * [simplify]: iters left: 2 (244 enodes) 507.654 * * [simplify]: iters left: 1 (308 enodes) 507.695 * * [simplify]: Extracting #0: cost 1 inf + 0 507.695 * * [simplify]: Extracting #1: cost 11 inf + 0 507.696 * * [simplify]: Extracting #2: cost 50 inf + 0 507.696 * * [simplify]: Extracting #3: cost 79 inf + 3 507.696 * * [simplify]: Extracting #4: cost 81 inf + 127 507.696 * * [simplify]: Extracting #5: cost 73 inf + 780 507.698 * * [simplify]: Extracting #6: cost 39 inf + 10926 507.703 * * [simplify]: Extracting #7: cost 4 inf + 23114 507.709 * * [simplify]: Extracting #8: cost 0 inf + 24585 507.715 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 507.715 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 507.715 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 507.715 * * [simplify]: iters left: 6 (16 enodes) 507.721 * * [simplify]: iters left: 5 (62 enodes) 507.730 * * [simplify]: iters left: 4 (99 enodes) 507.744 * * [simplify]: iters left: 3 (150 enodes) 507.767 * * [simplify]: iters left: 2 (222 enodes) 507.801 * * [simplify]: iters left: 1 (302 enodes) 507.844 * * [simplify]: Extracting #0: cost 1 inf + 0 507.844 * * [simplify]: Extracting #1: cost 0 inf + 1 507.844 * [simplify]: Simplified to 0 507.844 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 507.844 * * * * [progress]: [ 934 / 2246 ] simplifiying candidate # 507.845 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 507.845 * * [simplify]: iters left: 6 (19 enodes) 507.852 * * [simplify]: iters left: 5 (71 enodes) 507.861 * * [simplify]: iters left: 4 (100 enodes) 507.875 * * [simplify]: iters left: 3 (132 enodes) 507.891 * * [simplify]: iters left: 2 (168 enodes) 507.914 * * [simplify]: iters left: 1 (203 enodes) 507.940 * * [simplify]: Extracting #0: cost 1 inf + 0 507.940 * * [simplify]: Extracting #1: cost 9 inf + 0 507.941 * * [simplify]: Extracting #2: cost 43 inf + 0 507.941 * * [simplify]: Extracting #3: cost 63 inf + 44 507.941 * * [simplify]: Extracting #4: cost 64 inf + 249 507.941 * * [simplify]: Extracting #5: cost 56 inf + 1233 507.942 * * [simplify]: Extracting #6: cost 33 inf + 6727 507.945 * * [simplify]: Extracting #7: cost 7 inf + 14558 507.949 * * [simplify]: Extracting #8: cost 0 inf + 16881 507.953 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 507.953 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 507.954 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 507.954 * * [simplify]: iters left: 6 (14 enodes) 507.957 * * [simplify]: iters left: 5 (54 enodes) 507.965 * * [simplify]: iters left: 4 (77 enodes) 507.976 * * [simplify]: iters left: 3 (106 enodes) 507.991 * * [simplify]: iters left: 2 (137 enodes) 508.009 * * [simplify]: iters left: 1 (167 enodes) 508.030 * * [simplify]: Extracting #0: cost 1 inf + 0 508.030 * * [simplify]: Extracting #1: cost 0 inf + 1 508.030 * [simplify]: Simplified to 0 508.030 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 508.030 * * * * [progress]: [ 935 / 2246 ] simplifiying candidate # 508.030 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 508.030 * * [simplify]: iters left: 6 (19 enodes) 508.035 * * [simplify]: iters left: 5 (71 enodes) 508.045 * * [simplify]: iters left: 4 (104 enodes) 508.062 * * [simplify]: iters left: 3 (156 enodes) 508.083 * * [simplify]: iters left: 2 (203 enodes) 508.117 * * [simplify]: iters left: 1 (267 enodes) 508.154 * * [simplify]: Extracting #0: cost 1 inf + 0 508.154 * * [simplify]: Extracting #1: cost 11 inf + 0 508.154 * * [simplify]: Extracting #2: cost 41 inf + 0 508.154 * * [simplify]: Extracting #3: cost 55 inf + 167 508.154 * * [simplify]: Extracting #4: cost 51 inf + 877 508.155 * * [simplify]: Extracting #5: cost 42 inf + 2377 508.157 * * [simplify]: Extracting #6: cost 11 inf + 10687 508.161 * * [simplify]: Extracting #7: cost 1 inf + 13539 508.165 * * [simplify]: Extracting #8: cost 0 inf + 13877 508.168 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 508.168 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))))) 508.169 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1))) 508.169 * * [simplify]: iters left: 6 (14 enodes) 508.172 * * [simplify]: iters left: 5 (53 enodes) 508.182 * * [simplify]: iters left: 4 (78 enodes) 508.194 * * [simplify]: iters left: 3 (126 enodes) 508.212 * * [simplify]: iters left: 2 (171 enodes) 508.240 * * [simplify]: iters left: 1 (225 enodes) 508.269 * * [simplify]: Extracting #0: cost 1 inf + 0 508.269 * * [simplify]: Extracting #1: cost 0 inf + 1 508.269 * [simplify]: Simplified to 0 508.269 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 508.269 * * * * [progress]: [ 936 / 2246 ] simplifiying candidate # 508.269 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 508.269 * * [simplify]: iters left: 6 (18 enodes) 508.274 * * [simplify]: iters left: 5 (69 enodes) 508.285 * * [simplify]: iters left: 4 (99 enodes) 508.299 * * [simplify]: iters left: 3 (138 enodes) 508.319 * * [simplify]: iters left: 2 (180 enodes) 508.344 * * [simplify]: iters left: 1 (217 enodes) 508.377 * * [simplify]: Extracting #0: cost 1 inf + 0 508.377 * * [simplify]: Extracting #1: cost 11 inf + 0 508.377 * * [simplify]: Extracting #2: cost 44 inf + 0 508.377 * * [simplify]: Extracting #3: cost 58 inf + 44 508.377 * * [simplify]: Extracting #4: cost 55 inf + 485 508.378 * * [simplify]: Extracting #5: cost 47 inf + 1566 508.380 * * [simplify]: Extracting #6: cost 13 inf + 10259 508.383 * * [simplify]: Extracting #7: cost 0 inf + 14013 508.386 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 508.386 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))))) 508.387 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)))) 508.387 * * [simplify]: iters left: 6 (15 enodes) 508.391 * * [simplify]: iters left: 5 (58 enodes) 508.399 * * [simplify]: iters left: 4 (84 enodes) 508.412 * * [simplify]: iters left: 3 (133 enodes) 508.430 * * [simplify]: iters left: 2 (175 enodes) 508.453 * * [simplify]: iters left: 1 (209 enodes) 508.480 * * [simplify]: Extracting #0: cost 1 inf + 0 508.480 * * [simplify]: Extracting #1: cost 0 inf + 1 508.480 * [simplify]: Simplified to 0 508.480 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 0))) 508.481 * * * * [progress]: [ 937 / 2246 ] simplifiying candidate # 508.481 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 508.481 * * [simplify]: iters left: 6 (18 enodes) 508.486 * * [simplify]: iters left: 5 (69 enodes) 508.496 * * [simplify]: iters left: 4 (99 enodes) 508.512 * * [simplify]: iters left: 3 (138 enodes) 508.530 * * [simplify]: iters left: 2 (180 enodes) 508.555 * * [simplify]: iters left: 1 (217 enodes) 508.588 * * [simplify]: Extracting #0: cost 1 inf + 0 508.588 * * [simplify]: Extracting #1: cost 11 inf + 0 508.588 * * [simplify]: Extracting #2: cost 44 inf + 0 508.588 * * [simplify]: Extracting #3: cost 58 inf + 44 508.589 * * [simplify]: Extracting #4: cost 55 inf + 485 508.589 * * [simplify]: Extracting #5: cost 47 inf + 1566 508.591 * * [simplify]: Extracting #6: cost 13 inf + 10259 508.594 * * [simplify]: Extracting #7: cost 0 inf + 14013 508.598 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 508.598 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))))) 508.598 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)))) 508.598 * * [simplify]: iters left: 6 (15 enodes) 508.602 * * [simplify]: iters left: 5 (58 enodes) 508.610 * * [simplify]: iters left: 4 (84 enodes) 508.623 * * [simplify]: iters left: 3 (133 enodes) 508.643 * * [simplify]: iters left: 2 (175 enodes) 508.665 * * [simplify]: iters left: 1 (209 enodes) 508.692 * * [simplify]: Extracting #0: cost 1 inf + 0 508.692 * * [simplify]: Extracting #1: cost 0 inf + 1 508.692 * [simplify]: Simplified to 0 508.692 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 0))) 508.692 * * * * [progress]: [ 938 / 2246 ] simplifiying candidate # 508.693 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 508.693 * * [simplify]: iters left: 6 (19 enodes) 508.699 * * [simplify]: iters left: 5 (71 enodes) 508.709 * * [simplify]: iters left: 4 (104 enodes) 508.724 * * [simplify]: iters left: 3 (156 enodes) 508.746 * * [simplify]: iters left: 2 (203 enodes) 508.780 * * [simplify]: iters left: 1 (267 enodes) 508.817 * * [simplify]: Extracting #0: cost 1 inf + 0 508.817 * * [simplify]: Extracting #1: cost 11 inf + 0 508.817 * * [simplify]: Extracting #2: cost 41 inf + 0 508.817 * * [simplify]: Extracting #3: cost 55 inf + 167 508.818 * * [simplify]: Extracting #4: cost 51 inf + 877 508.818 * * [simplify]: Extracting #5: cost 42 inf + 2377 508.820 * * [simplify]: Extracting #6: cost 11 inf + 10687 508.825 * * [simplify]: Extracting #7: cost 1 inf + 13539 508.829 * * [simplify]: Extracting #8: cost 0 inf + 13877 508.833 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 508.833 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))))) 508.833 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1))) 508.833 * * [simplify]: iters left: 6 (14 enodes) 508.837 * * [simplify]: iters left: 5 (53 enodes) 508.844 * * [simplify]: iters left: 4 (78 enodes) 508.856 * * [simplify]: iters left: 3 (126 enodes) 508.875 * * [simplify]: iters left: 2 (171 enodes) 508.904 * * [simplify]: iters left: 1 (225 enodes) 508.932 * * [simplify]: Extracting #0: cost 1 inf + 0 508.932 * * [simplify]: Extracting #1: cost 0 inf + 1 508.932 * [simplify]: Simplified to 0 508.932 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 508.932 * * * * [progress]: [ 939 / 2246 ] simplifiying candidate # 508.932 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 508.932 * * [simplify]: iters left: 6 (26 enodes) 508.939 * * [simplify]: iters left: 5 (105 enodes) 508.957 * * [simplify]: iters left: 4 (235 enodes) 509.022 * * [simplify]: Extracting #0: cost 1 inf + 0 509.022 * * [simplify]: Extracting #1: cost 11 inf + 0 509.022 * * [simplify]: Extracting #2: cost 149 inf + 0 509.023 * * [simplify]: Extracting #3: cost 260 inf + 85 509.024 * * [simplify]: Extracting #4: cost 261 inf + 489 509.025 * * [simplify]: Extracting #5: cost 242 inf + 4669 509.027 * * [simplify]: Extracting #6: cost 212 inf + 14226 509.031 * * [simplify]: Extracting #7: cost 177 inf + 29856 509.045 * * [simplify]: Extracting #8: cost 60 inf + 98552 509.069 * * [simplify]: Extracting #9: cost 0 inf + 134002 509.093 * * [simplify]: Extracting #10: cost 0 inf + 133322 509.118 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (hypot 1 x))) (* (/ (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (hypot 1 x))) (/ (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (hypot 1 x)))))) 509.118 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (hypot 1 x))) (* (/ (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (hypot 1 x))) (/ (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 509.119 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 509.119 * * [simplify]: iters left: 6 (21 enodes) 509.124 * * [simplify]: iters left: 5 (87 enodes) 509.139 * * [simplify]: iters left: 4 (200 enodes) 509.197 * * [simplify]: Extracting #0: cost 1 inf + 0 509.197 * * [simplify]: Extracting #1: cost 25 inf + 0 509.198 * * [simplify]: Extracting #2: cost 150 inf + 0 509.198 * * [simplify]: Extracting #3: cost 243 inf + 1 509.199 * * [simplify]: Extracting #4: cost 245 inf + 365 509.200 * * [simplify]: Extracting #5: cost 226 inf + 4202 509.202 * * [simplify]: Extracting #6: cost 200 inf + 13225 509.207 * * [simplify]: Extracting #7: cost 154 inf + 36777 509.226 * * [simplify]: Extracting #8: cost 20 inf + 116269 509.251 * * [simplify]: Extracting #9: cost 0 inf + 128603 509.274 * [simplify]: Simplified to (- (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 509.274 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) (- (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 509.275 * * * * [progress]: [ 940 / 2246 ] simplifiying candidate # 509.275 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 509.275 * * [simplify]: iters left: 6 (25 enodes) 509.282 * * [simplify]: iters left: 5 (100 enodes) 509.297 * * [simplify]: iters left: 4 (199 enodes) 509.343 * * [simplify]: Extracting #0: cost 1 inf + 0 509.343 * * [simplify]: Extracting #1: cost 11 inf + 0 509.343 * * [simplify]: Extracting #2: cost 110 inf + 0 509.343 * * [simplify]: Extracting #3: cost 187 inf + 43 509.344 * * [simplify]: Extracting #4: cost 185 inf + 650 509.345 * * [simplify]: Extracting #5: cost 172 inf + 3156 509.347 * * [simplify]: Extracting #6: cost 122 inf + 19416 509.357 * * [simplify]: Extracting #7: cost 28 inf + 68268 509.372 * * [simplify]: Extracting #8: cost 0 inf + 84132 509.389 * * [simplify]: Extracting #9: cost 0 inf + 84092 509.404 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 509.404 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 509.404 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 509.404 * * [simplify]: iters left: 6 (20 enodes) 509.409 * * [simplify]: iters left: 5 (82 enodes) 509.422 * * [simplify]: iters left: 4 (166 enodes) 509.463 * * [simplify]: Extracting #0: cost 1 inf + 0 509.463 * * [simplify]: Extracting #1: cost 22 inf + 0 509.463 * * [simplify]: Extracting #2: cost 106 inf + 0 509.464 * * [simplify]: Extracting #3: cost 175 inf + 0 509.464 * * [simplify]: Extracting #4: cost 174 inf + 286 509.465 * * [simplify]: Extracting #5: cost 165 inf + 2060 509.466 * * [simplify]: Extracting #6: cost 133 inf + 12055 509.468 * * [simplify]: Extracting #7: cost 124 inf + 14115 509.474 * * [simplify]: Extracting #8: cost 61 inf + 47169 509.487 * * [simplify]: Extracting #9: cost 3 inf + 80053 509.501 * * [simplify]: Extracting #10: cost 0 inf + 81907 509.516 * [simplify]: Simplified to (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 509.516 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))))))) 509.516 * * * * [progress]: [ 941 / 2246 ] simplifiying candidate # 509.516 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 509.517 * * [simplify]: iters left: 6 (24 enodes) 509.524 * * [simplify]: iters left: 5 (94 enodes) 509.541 * * [simplify]: iters left: 4 (203 enodes) 509.593 * * [simplify]: Extracting #0: cost 1 inf + 0 509.594 * * [simplify]: Extracting #1: cost 13 inf + 0 509.594 * * [simplify]: Extracting #2: cost 126 inf + 0 509.594 * * [simplify]: Extracting #3: cost 185 inf + 43 509.595 * * [simplify]: Extracting #4: cost 182 inf + 931 509.596 * * [simplify]: Extracting #5: cost 161 inf + 5531 509.600 * * [simplify]: Extracting #6: cost 82 inf + 33746 509.612 * * [simplify]: Extracting #7: cost 4 inf + 71350 509.625 * * [simplify]: Extracting #8: cost 0 inf + 73702 509.637 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 509.638 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 509.638 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 509.638 * * [simplify]: iters left: 6 (19 enodes) 509.643 * * [simplify]: iters left: 5 (76 enodes) 509.656 * * [simplify]: iters left: 4 (173 enodes) 509.701 * * [simplify]: Extracting #0: cost 1 inf + 0 509.701 * * [simplify]: Extracting #1: cost 14 inf + 0 509.702 * * [simplify]: Extracting #2: cost 90 inf + 0 509.703 * * [simplify]: Extracting #3: cost 150 inf + 1 509.703 * * [simplify]: Extracting #4: cost 151 inf + 286 509.704 * * [simplify]: Extracting #5: cost 139 inf + 2371 509.705 * * [simplify]: Extracting #6: cost 93 inf + 16977 509.713 * * [simplify]: Extracting #7: cost 13 inf + 53665 509.723 * * [simplify]: Extracting #8: cost 0 inf + 59778 509.735 * [simplify]: Simplified to (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 509.735 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 509.735 * * * * [progress]: [ 942 / 2246 ] simplifiying candidate # 509.736 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 509.736 * * [simplify]: iters left: 6 (23 enodes) 509.742 * * [simplify]: iters left: 5 (93 enodes) 509.757 * * [simplify]: iters left: 4 (161 enodes) 509.791 * * [simplify]: iters left: 3 (420 enodes) 509.969 * * [simplify]: Extracting #0: cost 1 inf + 0 509.969 * * [simplify]: Extracting #1: cost 19 inf + 0 509.969 * * [simplify]: Extracting #2: cost 170 inf + 0 509.970 * * [simplify]: Extracting #3: cost 280 inf + 43 509.971 * * [simplify]: Extracting #4: cost 278 inf + 1106 509.973 * * [simplify]: Extracting #5: cost 255 inf + 5833 509.977 * * [simplify]: Extracting #6: cost 188 inf + 27410 509.987 * * [simplify]: Extracting #7: cost 119 inf + 56692 510.009 * * [simplify]: Extracting #8: cost 13 inf + 108865 510.036 * * [simplify]: Extracting #9: cost 0 inf + 114249 510.061 * * [simplify]: Extracting #10: cost 0 inf + 114224 510.085 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 510.085 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 510.086 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 510.086 * * [simplify]: iters left: 6 (20 enodes) 510.091 * * [simplify]: iters left: 5 (82 enodes) 510.106 * * [simplify]: iters left: 4 (138 enodes) 510.137 * * [simplify]: iters left: 3 (402 enodes) 510.311 * * [simplify]: Extracting #0: cost 1 inf + 0 510.311 * * [simplify]: Extracting #1: cost 0 inf + 1 510.311 * [simplify]: Simplified to 0 510.311 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 0))) 510.311 * * * * [progress]: [ 943 / 2246 ] simplifiying candidate # 510.312 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 510.312 * * [simplify]: iters left: 6 (23 enodes) 510.321 * * [simplify]: iters left: 5 (93 enodes) 510.336 * * [simplify]: iters left: 4 (161 enodes) 510.370 * * [simplify]: iters left: 3 (420 enodes) 510.549 * * [simplify]: Extracting #0: cost 1 inf + 0 510.549 * * [simplify]: Extracting #1: cost 19 inf + 0 510.549 * * [simplify]: Extracting #2: cost 170 inf + 0 510.550 * * [simplify]: Extracting #3: cost 280 inf + 43 510.551 * * [simplify]: Extracting #4: cost 278 inf + 1106 510.553 * * [simplify]: Extracting #5: cost 255 inf + 5833 510.557 * * [simplify]: Extracting #6: cost 188 inf + 27410 510.566 * * [simplify]: Extracting #7: cost 119 inf + 56692 510.588 * * [simplify]: Extracting #8: cost 13 inf + 108865 510.615 * * [simplify]: Extracting #9: cost 0 inf + 114249 510.641 * * [simplify]: Extracting #10: cost 0 inf + 114224 510.665 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 510.665 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 510.666 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 510.666 * * [simplify]: iters left: 6 (20 enodes) 510.671 * * [simplify]: iters left: 5 (82 enodes) 510.684 * * [simplify]: iters left: 4 (138 enodes) 510.717 * * [simplify]: iters left: 3 (402 enodes) 510.892 * * [simplify]: Extracting #0: cost 1 inf + 0 510.892 * * [simplify]: Extracting #1: cost 0 inf + 1 510.892 * [simplify]: Simplified to 0 510.893 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 0))) 510.893 * * * * [progress]: [ 944 / 2246 ] simplifiying candidate # 510.893 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 510.893 * * [simplify]: iters left: 6 (24 enodes) 510.900 * * [simplify]: iters left: 5 (94 enodes) 510.919 * * [simplify]: iters left: 4 (203 enodes) 510.971 * * [simplify]: Extracting #0: cost 1 inf + 0 510.972 * * [simplify]: Extracting #1: cost 13 inf + 0 510.972 * * [simplify]: Extracting #2: cost 126 inf + 0 510.972 * * [simplify]: Extracting #3: cost 185 inf + 43 510.973 * * [simplify]: Extracting #4: cost 182 inf + 931 510.974 * * [simplify]: Extracting #5: cost 161 inf + 5531 510.978 * * [simplify]: Extracting #6: cost 82 inf + 33746 510.990 * * [simplify]: Extracting #7: cost 4 inf + 71350 511.003 * * [simplify]: Extracting #8: cost 0 inf + 73702 511.016 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 511.016 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 511.016 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 511.016 * * [simplify]: iters left: 6 (19 enodes) 511.021 * * [simplify]: iters left: 5 (76 enodes) 511.035 * * [simplify]: iters left: 4 (173 enodes) 511.081 * * [simplify]: Extracting #0: cost 1 inf + 0 511.081 * * [simplify]: Extracting #1: cost 14 inf + 0 511.081 * * [simplify]: Extracting #2: cost 90 inf + 0 511.081 * * [simplify]: Extracting #3: cost 150 inf + 1 511.082 * * [simplify]: Extracting #4: cost 151 inf + 286 511.082 * * [simplify]: Extracting #5: cost 139 inf + 2371 511.084 * * [simplify]: Extracting #6: cost 93 inf + 16977 511.092 * * [simplify]: Extracting #7: cost 13 inf + 53665 511.102 * * [simplify]: Extracting #8: cost 0 inf + 59778 511.114 * [simplify]: Simplified to (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 511.114 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 511.114 * * * * [progress]: [ 945 / 2246 ] simplifiying candidate # 511.115 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 511.115 * * [simplify]: iters left: 6 (25 enodes) 511.122 * * [simplify]: iters left: 5 (99 enodes) 511.138 * * [simplify]: iters left: 4 (204 enodes) 511.186 * * [simplify]: Extracting #0: cost 1 inf + 0 511.187 * * [simplify]: Extracting #1: cost 11 inf + 0 511.187 * * [simplify]: Extracting #2: cost 107 inf + 0 511.187 * * [simplify]: Extracting #3: cost 186 inf + 43 511.188 * * [simplify]: Extracting #4: cost 185 inf + 568 511.189 * * [simplify]: Extracting #5: cost 178 inf + 1777 511.190 * * [simplify]: Extracting #6: cost 151 inf + 8957 511.199 * * [simplify]: Extracting #7: cost 51 inf + 60437 511.215 * * [simplify]: Extracting #8: cost 0 inf + 87675 511.232 * * [simplify]: Extracting #9: cost 0 inf + 87115 511.249 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (sqrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (sqrt (hypot 1 x)))))) 511.249 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (sqrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 511.249 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 511.250 * * [simplify]: iters left: 6 (20 enodes) 511.255 * * [simplify]: iters left: 5 (81 enodes) 511.269 * * [simplify]: iters left: 4 (169 enodes) 511.310 * * [simplify]: Extracting #0: cost 1 inf + 0 511.310 * * [simplify]: Extracting #1: cost 22 inf + 0 511.311 * * [simplify]: Extracting #2: cost 104 inf + 0 511.311 * * [simplify]: Extracting #3: cost 169 inf + 0 511.312 * * [simplify]: Extracting #4: cost 160 inf + 1174 511.313 * * [simplify]: Extracting #5: cost 140 inf + 5986 511.314 * * [simplify]: Extracting #6: cost 136 inf + 7316 511.315 * * [simplify]: Extracting #7: cost 132 inf + 7868 511.321 * * [simplify]: Extracting #8: cost 72 inf + 39468 511.336 * * [simplify]: Extracting #9: cost 3 inf + 80030 511.351 * * [simplify]: Extracting #10: cost 0 inf + 81164 511.366 * * [simplify]: Extracting #11: cost 0 inf + 80644 511.382 * * [simplify]: Extracting #12: cost 0 inf + 80484 511.397 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) 511.397 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))))))) 511.398 * * * * [progress]: [ 946 / 2246 ] simplifiying candidate # 511.398 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 511.398 * * [simplify]: iters left: 6 (24 enodes) 511.405 * * [simplify]: iters left: 5 (93 enodes) 511.420 * * [simplify]: iters left: 4 (171 enodes) 511.454 * * [simplify]: iters left: 3 (429 enodes) 511.590 * * [simplify]: Extracting #0: cost 1 inf + 0 511.590 * * [simplify]: Extracting #1: cost 11 inf + 0 511.590 * * [simplify]: Extracting #2: cost 129 inf + 0 511.591 * * [simplify]: Extracting #3: cost 241 inf + 125 511.592 * * [simplify]: Extracting #4: cost 241 inf + 732 511.594 * * [simplify]: Extracting #5: cost 224 inf + 4288 511.597 * * [simplify]: Extracting #6: cost 174 inf + 20891 511.613 * * [simplify]: Extracting #7: cost 48 inf + 78959 511.637 * * [simplify]: Extracting #8: cost 0 inf + 104223 511.663 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 511.663 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 511.664 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 511.664 * * [simplify]: iters left: 6 (19 enodes) 511.669 * * [simplify]: iters left: 5 (75 enodes) 511.680 * * [simplify]: iters left: 4 (138 enodes) 511.709 * * [simplify]: iters left: 3 (364 enodes) 511.833 * * [simplify]: Extracting #0: cost 1 inf + 0 511.833 * * [simplify]: Extracting #1: cost 0 inf + 1 511.833 * [simplify]: Simplified to 0 511.833 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 511.833 * * * * [progress]: [ 947 / 2246 ] simplifiying candidate # 511.833 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 511.833 * * [simplify]: iters left: 6 (23 enodes) 511.840 * * [simplify]: iters left: 5 (89 enodes) 511.854 * * [simplify]: iters left: 4 (164 enodes) 511.887 * * [simplify]: iters left: 3 (391 enodes) 512.041 * * [simplify]: Extracting #0: cost 1 inf + 0 512.041 * * [simplify]: Extracting #1: cost 11 inf + 0 512.041 * * [simplify]: Extracting #2: cost 118 inf + 0 512.042 * * [simplify]: Extracting #3: cost 212 inf + 43 512.043 * * [simplify]: Extracting #4: cost 211 inf + 530 512.044 * * [simplify]: Extracting #5: cost 189 inf + 4598 512.049 * * [simplify]: Extracting #6: cost 115 inf + 28503 512.066 * * [simplify]: Extracting #7: cost 20 inf + 68243 512.084 * * [simplify]: Extracting #8: cost 0 inf + 76713 512.102 * * [simplify]: Extracting #9: cost 0 inf + 76663 512.119 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 512.119 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))))) 512.120 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1))) 512.120 * * [simplify]: iters left: 6 (18 enodes) 512.125 * * [simplify]: iters left: 5 (71 enodes) 512.137 * * [simplify]: iters left: 4 (130 enodes) 512.165 * * [simplify]: iters left: 3 (341 enodes) 512.289 * * [simplify]: Extracting #0: cost 1 inf + 0 512.289 * * [simplify]: Extracting #1: cost 0 inf + 1 512.289 * [simplify]: Simplified to 0 512.289 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 0))) 512.290 * * * * [progress]: [ 948 / 2246 ] simplifiying candidate # 512.290 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) 512.290 * * [simplify]: iters left: 6 (22 enodes) 512.296 * * [simplify]: iters left: 5 (87 enodes) 512.313 * * [simplify]: iters left: 4 (140 enodes) 512.340 * * [simplify]: iters left: 3 (320 enodes) 512.441 * * [simplify]: Extracting #0: cost 1 inf + 0 512.441 * * [simplify]: Extracting #1: cost 11 inf + 0 512.441 * * [simplify]: Extracting #2: cost 106 inf + 0 512.442 * * [simplify]: Extracting #3: cost 184 inf + 125 512.443 * * [simplify]: Extracting #4: cost 185 inf + 652 512.444 * * [simplify]: Extracting #5: cost 161 inf + 4808 512.449 * * [simplify]: Extracting #6: cost 99 inf + 24901 512.462 * * [simplify]: Extracting #7: cost 9 inf + 63761 512.477 * * [simplify]: Extracting #8: cost 0 inf + 67313 512.493 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 512.493 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))))) 512.493 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)))) 512.493 * * [simplify]: iters left: 6 (19 enodes) 512.498 * * [simplify]: iters left: 5 (76 enodes) 512.512 * * [simplify]: iters left: 4 (115 enodes) 512.534 * * [simplify]: iters left: 3 (283 enodes) 512.630 * * [simplify]: Extracting #0: cost 1 inf + 0 512.630 * * [simplify]: Extracting #1: cost 28 inf + 0 512.630 * * [simplify]: Extracting #2: cost 102 inf + 1 512.631 * * [simplify]: Extracting #3: cost 142 inf + 691 512.632 * * [simplify]: Extracting #4: cost 131 inf + 3683 512.634 * * [simplify]: Extracting #5: cost 102 inf + 11388 512.637 * * [simplify]: Extracting #6: cost 97 inf + 12896 512.643 * * [simplify]: Extracting #7: cost 45 inf + 33427 512.656 * * [simplify]: Extracting #8: cost 0 inf + 53907 512.669 * * [simplify]: Extracting #9: cost 0 inf + 53757 512.682 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 512.682 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 512.682 * * * * [progress]: [ 949 / 2246 ] simplifiying candidate # 512.683 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) 512.683 * * [simplify]: iters left: 6 (22 enodes) 512.689 * * [simplify]: iters left: 5 (87 enodes) 512.705 * * [simplify]: iters left: 4 (140 enodes) 512.732 * * [simplify]: iters left: 3 (320 enodes) 512.831 * * [simplify]: Extracting #0: cost 1 inf + 0 512.831 * * [simplify]: Extracting #1: cost 11 inf + 0 512.831 * * [simplify]: Extracting #2: cost 106 inf + 0 512.832 * * [simplify]: Extracting #3: cost 184 inf + 125 512.833 * * [simplify]: Extracting #4: cost 185 inf + 652 512.834 * * [simplify]: Extracting #5: cost 161 inf + 4808 512.839 * * [simplify]: Extracting #6: cost 99 inf + 24901 512.852 * * [simplify]: Extracting #7: cost 9 inf + 63761 512.867 * * [simplify]: Extracting #8: cost 0 inf + 67313 512.883 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 512.883 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))))) 512.885 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)))) 512.885 * * [simplify]: iters left: 6 (19 enodes) 512.890 * * [simplify]: iters left: 5 (76 enodes) 512.902 * * [simplify]: iters left: 4 (115 enodes) 512.923 * * [simplify]: iters left: 3 (283 enodes) 513.017 * * [simplify]: Extracting #0: cost 1 inf + 0 513.018 * * [simplify]: Extracting #1: cost 28 inf + 0 513.018 * * [simplify]: Extracting #2: cost 102 inf + 1 513.018 * * [simplify]: Extracting #3: cost 142 inf + 691 513.019 * * [simplify]: Extracting #4: cost 131 inf + 3683 513.021 * * [simplify]: Extracting #5: cost 102 inf + 11388 513.024 * * [simplify]: Extracting #6: cost 97 inf + 12896 513.031 * * [simplify]: Extracting #7: cost 45 inf + 33427 513.043 * * [simplify]: Extracting #8: cost 0 inf + 53907 513.057 * * [simplify]: Extracting #9: cost 0 inf + 53757 513.070 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 513.070 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 513.070 * * * * [progress]: [ 950 / 2246 ] simplifiying candidate # 513.070 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 513.071 * * [simplify]: iters left: 6 (23 enodes) 513.079 * * [simplify]: iters left: 5 (89 enodes) 513.093 * * [simplify]: iters left: 4 (164 enodes) 513.126 * * [simplify]: iters left: 3 (391 enodes) 513.280 * * [simplify]: Extracting #0: cost 1 inf + 0 513.280 * * [simplify]: Extracting #1: cost 11 inf + 0 513.280 * * [simplify]: Extracting #2: cost 118 inf + 0 513.281 * * [simplify]: Extracting #3: cost 212 inf + 43 513.282 * * [simplify]: Extracting #4: cost 211 inf + 530 513.283 * * [simplify]: Extracting #5: cost 189 inf + 4598 513.288 * * [simplify]: Extracting #6: cost 115 inf + 28503 513.305 * * [simplify]: Extracting #7: cost 20 inf + 68243 513.323 * * [simplify]: Extracting #8: cost 0 inf + 76713 513.341 * * [simplify]: Extracting #9: cost 0 inf + 76663 513.358 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 513.358 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))))) 513.359 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1))) 513.359 * * [simplify]: iters left: 6 (18 enodes) 513.364 * * [simplify]: iters left: 5 (71 enodes) 513.375 * * [simplify]: iters left: 4 (130 enodes) 513.404 * * [simplify]: iters left: 3 (341 enodes) 513.529 * * [simplify]: Extracting #0: cost 1 inf + 0 513.529 * * [simplify]: Extracting #1: cost 0 inf + 1 513.529 * [simplify]: Simplified to 0 513.529 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 0))) 513.530 * * * * [progress]: [ 951 / 2246 ] simplifiying candidate # 513.530 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 513.530 * * [simplify]: iters left: 6 (24 enodes) 513.537 * * [simplify]: iters left: 5 (94 enodes) 513.555 * * [simplify]: iters left: 4 (196 enodes) 513.599 * * [simplify]: Extracting #0: cost 1 inf + 0 513.599 * * [simplify]: Extracting #1: cost 11 inf + 0 513.599 * * [simplify]: Extracting #2: cost 91 inf + 0 513.599 * * [simplify]: Extracting #3: cost 155 inf + 2 513.600 * * [simplify]: Extracting #4: cost 144 inf + 1274 513.601 * * [simplify]: Extracting #5: cost 126 inf + 5001 513.602 * * [simplify]: Extracting #6: cost 122 inf + 5971 513.603 * * [simplify]: Extracting #7: cost 119 inf + 6385 513.606 * * [simplify]: Extracting #8: cost 81 inf + 23109 513.619 * * [simplify]: Extracting #9: cost 5 inf + 61517 513.633 * * [simplify]: Extracting #10: cost 0 inf + 63807 513.646 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (hypot 1 x)))) 513.646 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (hypot 1 x)))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 513.646 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 513.646 * * [simplify]: iters left: 6 (19 enodes) 513.651 * * [simplify]: iters left: 5 (76 enodes) 513.664 * * [simplify]: iters left: 4 (163 enodes) 513.705 * * [simplify]: iters left: 3 (466 enodes) 513.916 * * [simplify]: Extracting #0: cost 1 inf + 0 513.916 * * [simplify]: Extracting #1: cost 0 inf + 1 513.916 * [simplify]: Simplified to 0 513.916 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 513.916 * * * * [progress]: [ 952 / 2246 ] simplifiying candidate # 513.916 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 513.917 * * [simplify]: iters left: 6 (23 enodes) 513.923 * * [simplify]: iters left: 5 (89 enodes) 513.937 * * [simplify]: iters left: 4 (163 enodes) 513.973 * * [simplify]: iters left: 3 (385 enodes) 514.102 * * [simplify]: Extracting #0: cost 1 inf + 0 514.102 * * [simplify]: Extracting #1: cost 11 inf + 0 514.102 * * [simplify]: Extracting #2: cost 102 inf + 0 514.103 * * [simplify]: Extracting #3: cost 201 inf + 44 514.103 * * [simplify]: Extracting #4: cost 190 inf + 1479 514.107 * * [simplify]: Extracting #5: cost 122 inf + 20312 514.121 * * [simplify]: Extracting #6: cost 16 inf + 64072 514.141 * * [simplify]: Extracting #7: cost 0 inf + 70920 514.158 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 514.158 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 514.158 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 514.159 * * [simplify]: iters left: 6 (18 enodes) 514.163 * * [simplify]: iters left: 5 (71 enodes) 514.175 * * [simplify]: iters left: 4 (132 enodes) 514.203 * * [simplify]: iters left: 3 (327 enodes) 514.318 * * [simplify]: Extracting #0: cost 1 inf + 0 514.318 * * [simplify]: Extracting #1: cost 0 inf + 1 514.318 * [simplify]: Simplified to 0 514.318 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 514.318 * * * * [progress]: [ 953 / 2246 ] simplifiying candidate # 514.319 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 514.319 * * [simplify]: iters left: 6 (22 enodes) 514.325 * * [simplify]: iters left: 5 (81 enodes) 514.338 * * [simplify]: iters left: 4 (148 enodes) 514.365 * * [simplify]: iters left: 3 (328 enodes) 514.466 * * [simplify]: Extracting #0: cost 1 inf + 0 514.466 * * [simplify]: Extracting #1: cost 13 inf + 0 514.466 * * [simplify]: Extracting #2: cost 92 inf + 0 514.467 * * [simplify]: Extracting #3: cost 139 inf + 3 514.467 * * [simplify]: Extracting #4: cost 131 inf + 1122 514.469 * * [simplify]: Extracting #5: cost 96 inf + 7716 514.472 * * [simplify]: Extracting #6: cost 55 inf + 21109 514.480 * * [simplify]: Extracting #7: cost 18 inf + 34738 514.489 * * [simplify]: Extracting #8: cost 0 inf + 41768 514.501 * * [simplify]: Extracting #9: cost 0 inf + 41657 514.511 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 514.511 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))))) 514.511 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1))) 514.511 * * [simplify]: iters left: 6 (17 enodes) 514.515 * * [simplify]: iters left: 5 (62 enodes) 514.526 * * [simplify]: iters left: 4 (117 enodes) 514.547 * * [simplify]: iters left: 3 (259 enodes) 514.616 * * [simplify]: Extracting #0: cost 1 inf + 0 514.616 * * [simplify]: Extracting #1: cost 0 inf + 1 514.616 * [simplify]: Simplified to 0 514.616 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 514.616 * * * * [progress]: [ 954 / 2246 ] simplifiying candidate # 514.616 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 514.616 * * [simplify]: iters left: 6 (21 enodes) 514.625 * * [simplify]: iters left: 5 (82 enodes) 514.637 * * [simplify]: iters left: 4 (147 enodes) 514.664 * * [simplify]: iters left: 3 (321 enodes) 514.760 * * [simplify]: Extracting #0: cost 1 inf + 0 514.760 * * [simplify]: Extracting #1: cost 13 inf + 0 514.761 * * [simplify]: Extracting #2: cost 112 inf + 0 514.762 * * [simplify]: Extracting #3: cost 158 inf + 126 514.763 * * [simplify]: Extracting #4: cost 148 inf + 1623 514.764 * * [simplify]: Extracting #5: cost 115 inf + 7693 514.770 * * [simplify]: Extracting #6: cost 43 inf + 33412 514.781 * * [simplify]: Extracting #7: cost 0 inf + 50551 514.793 * * [simplify]: Extracting #8: cost 0 inf + 50176 514.806 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 514.806 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))))) 514.806 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)))) 514.806 * * [simplify]: iters left: 6 (18 enodes) 514.812 * * [simplify]: iters left: 5 (71 enodes) 514.822 * * [simplify]: iters left: 4 (123 enodes) 514.845 * * [simplify]: iters left: 3 (278 enodes) 514.922 * * [simplify]: Extracting #0: cost 1 inf + 0 514.922 * * [simplify]: Extracting #1: cost 0 inf + 1 514.922 * [simplify]: Simplified to 0 514.922 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 0))) 514.923 * * * * [progress]: [ 955 / 2246 ] simplifiying candidate # 514.923 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 514.923 * * [simplify]: iters left: 6 (21 enodes) 514.929 * * [simplify]: iters left: 5 (82 enodes) 514.942 * * [simplify]: iters left: 4 (147 enodes) 514.969 * * [simplify]: iters left: 3 (321 enodes) 515.065 * * [simplify]: Extracting #0: cost 1 inf + 0 515.065 * * [simplify]: Extracting #1: cost 13 inf + 0 515.066 * * [simplify]: Extracting #2: cost 112 inf + 0 515.066 * * [simplify]: Extracting #3: cost 158 inf + 126 515.067 * * [simplify]: Extracting #4: cost 148 inf + 1623 515.068 * * [simplify]: Extracting #5: cost 115 inf + 7693 515.074 * * [simplify]: Extracting #6: cost 43 inf + 33412 515.085 * * [simplify]: Extracting #7: cost 0 inf + 50551 515.097 * * [simplify]: Extracting #8: cost 0 inf + 50176 515.110 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 515.110 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))))) 515.110 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)))) 515.111 * * [simplify]: iters left: 6 (18 enodes) 515.116 * * [simplify]: iters left: 5 (71 enodes) 515.126 * * [simplify]: iters left: 4 (123 enodes) 515.148 * * [simplify]: iters left: 3 (278 enodes) 515.225 * * [simplify]: Extracting #0: cost 1 inf + 0 515.226 * * [simplify]: Extracting #1: cost 0 inf + 1 515.226 * [simplify]: Simplified to 0 515.226 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 0))) 515.226 * * * * [progress]: [ 956 / 2246 ] simplifiying candidate # 515.226 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 515.226 * * [simplify]: iters left: 6 (22 enodes) 515.233 * * [simplify]: iters left: 5 (81 enodes) 515.245 * * [simplify]: iters left: 4 (148 enodes) 515.272 * * [simplify]: iters left: 3 (328 enodes) 515.372 * * [simplify]: Extracting #0: cost 1 inf + 0 515.372 * * [simplify]: Extracting #1: cost 13 inf + 0 515.372 * * [simplify]: Extracting #2: cost 92 inf + 0 515.372 * * [simplify]: Extracting #3: cost 139 inf + 3 515.373 * * [simplify]: Extracting #4: cost 131 inf + 1122 515.374 * * [simplify]: Extracting #5: cost 96 inf + 7716 515.378 * * [simplify]: Extracting #6: cost 55 inf + 21109 515.385 * * [simplify]: Extracting #7: cost 18 inf + 34738 515.397 * * [simplify]: Extracting #8: cost 0 inf + 41768 515.407 * * [simplify]: Extracting #9: cost 0 inf + 41657 515.416 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 515.416 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))))) 515.417 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1))) 515.417 * * [simplify]: iters left: 6 (17 enodes) 515.421 * * [simplify]: iters left: 5 (62 enodes) 515.431 * * [simplify]: iters left: 4 (117 enodes) 515.452 * * [simplify]: iters left: 3 (259 enodes) 515.522 * * [simplify]: Extracting #0: cost 1 inf + 0 515.522 * * [simplify]: Extracting #1: cost 0 inf + 1 515.522 * [simplify]: Simplified to 0 515.522 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 515.522 * * * * [progress]: [ 957 / 2246 ] simplifiying candidate # 515.522 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 515.522 * * [simplify]: iters left: 6 (24 enodes) 515.528 * * [simplify]: iters left: 5 (95 enodes) 515.543 * * [simplify]: iters left: 4 (202 enodes) 515.591 * * [simplify]: Extracting #0: cost 1 inf + 0 515.591 * * [simplify]: Extracting #1: cost 11 inf + 0 515.591 * * [simplify]: Extracting #2: cost 102 inf + 0 515.592 * * [simplify]: Extracting #3: cost 181 inf + 43 515.592 * * [simplify]: Extracting #4: cost 182 inf + 286 515.593 * * [simplify]: Extracting #5: cost 170 inf + 2700 515.594 * * [simplify]: Extracting #6: cost 150 inf + 7755 515.597 * * [simplify]: Extracting #7: cost 119 inf + 20568 515.609 * * [simplify]: Extracting #8: cost 29 inf + 67828 515.625 * * [simplify]: Extracting #9: cost 0 inf + 83095 515.641 * * [simplify]: Extracting #10: cost 0 inf + 83015 515.658 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))))) 515.658 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 515.658 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 515.659 * * [simplify]: iters left: 6 (20 enodes) 515.663 * * [simplify]: iters left: 5 (80 enodes) 515.678 * * [simplify]: iters left: 4 (163 enodes) 515.715 * * [simplify]: iters left: 3 (493 enodes) 515.906 * * [simplify]: Extracting #0: cost 1 inf + 0 515.906 * * [simplify]: Extracting #1: cost 0 inf + 1 515.906 * [simplify]: Simplified to 0 515.906 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 515.907 * * * * [progress]: [ 958 / 2246 ] simplifiying candidate # 515.907 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 515.907 * * [simplify]: iters left: 6 (23 enodes) 515.913 * * [simplify]: iters left: 5 (90 enodes) 515.927 * * [simplify]: iters left: 4 (172 enodes) 515.965 * * [simplify]: iters left: 3 (449 enodes) 516.087 * * [simplify]: Extracting #0: cost 1 inf + 0 516.087 * * [simplify]: Extracting #1: cost 11 inf + 0 516.087 * * [simplify]: Extracting #2: cost 129 inf + 0 516.088 * * [simplify]: Extracting #3: cost 256 inf + 126 516.089 * * [simplify]: Extracting #4: cost 259 inf + 329 516.091 * * [simplify]: Extracting #5: cost 242 inf + 4008 516.095 * * [simplify]: Extracting #6: cost 175 inf + 26432 516.116 * * [simplify]: Extracting #7: cost 39 inf + 90207 516.141 * * [simplify]: Extracting #8: cost 0 inf + 109111 516.166 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 516.166 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 516.166 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 516.166 * * [simplify]: iters left: 6 (19 enodes) 516.171 * * [simplify]: iters left: 5 (75 enodes) 516.182 * * [simplify]: iters left: 4 (134 enodes) 516.209 * * [simplify]: iters left: 3 (346 enodes) 516.568 * * [simplify]: Extracting #0: cost 1 inf + 0 516.568 * * [simplify]: Extracting #1: cost 0 inf + 1 516.568 * [simplify]: Simplified to 0 516.568 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 516.568 * * * * [progress]: [ 959 / 2246 ] simplifiying candidate # 516.568 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 516.569 * * [simplify]: iters left: 6 (22 enodes) 516.575 * * [simplify]: iters left: 5 (85 enodes) 516.588 * * [simplify]: iters left: 4 (166 enodes) 516.627 * * [simplify]: iters left: 3 (414 enodes) 516.753 * * [simplify]: Extracting #0: cost 1 inf + 0 516.753 * * [simplify]: Extracting #1: cost 15 inf + 0 516.754 * * [simplify]: Extracting #2: cost 118 inf + 0 516.755 * * [simplify]: Extracting #3: cost 235 inf + 85 516.755 * * [simplify]: Extracting #4: cost 235 inf + 533 516.757 * * [simplify]: Extracting #5: cost 226 inf + 2228 516.760 * * [simplify]: Extracting #6: cost 160 inf + 19672 516.767 * * [simplify]: Extracting #7: cost 107 inf + 38469 516.784 * * [simplify]: Extracting #8: cost 7 inf + 82253 516.804 * * [simplify]: Extracting #9: cost 0 inf + 85210 516.823 * [simplify]: Simplified to (+ (/ (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 516.823 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 516.823 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 516.823 * * [simplify]: iters left: 6 (18 enodes) 516.828 * * [simplify]: iters left: 5 (70 enodes) 516.839 * * [simplify]: iters left: 4 (126 enodes) 516.865 * * [simplify]: iters left: 3 (322 enodes) 516.961 * * [simplify]: Extracting #0: cost 1 inf + 0 516.961 * * [simplify]: Extracting #1: cost 0 inf + 1 516.961 * [simplify]: Simplified to 0 516.961 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 516.961 * * * * [progress]: [ 960 / 2246 ] simplifiying candidate # 516.962 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 516.962 * * [simplify]: iters left: 6 (21 enodes) 516.967 * * [simplify]: iters left: 5 (83 enodes) 516.983 * * [simplify]: iters left: 4 (131 enodes) 517.005 * * [simplify]: iters left: 3 (281 enodes) 517.077 * * [simplify]: Extracting #0: cost 1 inf + 0 517.077 * * [simplify]: Extracting #1: cost 17 inf + 0 517.077 * * [simplify]: Extracting #2: cost 104 inf + 0 517.077 * * [simplify]: Extracting #3: cost 161 inf + 206 517.078 * * [simplify]: Extracting #4: cost 162 inf + 571 517.079 * * [simplify]: Extracting #5: cost 162 inf + 629 517.080 * * [simplify]: Extracting #6: cost 144 inf + 4845 517.082 * * [simplify]: Extracting #7: cost 115 inf + 12286 517.089 * * [simplify]: Extracting #8: cost 30 inf + 46856 517.103 * * [simplify]: Extracting #9: cost 0 inf + 59886 517.115 * * [simplify]: Extracting #10: cost 0 inf + 59686 517.128 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 517.128 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 517.128 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 517.128 * * [simplify]: iters left: 6 (19 enodes) 517.134 * * [simplify]: iters left: 5 (75 enodes) 517.145 * * [simplify]: iters left: 4 (111 enodes) 517.164 * * [simplify]: iters left: 3 (244 enodes) 517.225 * * [simplify]: Extracting #0: cost 1 inf + 0 517.226 * * [simplify]: Extracting #1: cost 18 inf + 0 517.226 * * [simplify]: Extracting #2: cost 75 inf + 1 517.226 * * [simplify]: Extracting #3: cost 123 inf + 1 517.227 * * [simplify]: Extracting #4: cost 115 inf + 1708 517.228 * * [simplify]: Extracting #5: cost 83 inf + 10385 517.232 * * [simplify]: Extracting #6: cost 78 inf + 11373 517.238 * * [simplify]: Extracting #7: cost 25 inf + 31967 517.247 * * [simplify]: Extracting #8: cost 0 inf + 41997 517.257 * * [simplify]: Extracting #9: cost 0 inf + 41872 517.267 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 517.267 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))))))) 517.267 * * * * [progress]: [ 961 / 2246 ] simplifiying candidate # 517.267 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 517.268 * * [simplify]: iters left: 6 (21 enodes) 517.273 * * [simplify]: iters left: 5 (83 enodes) 517.286 * * [simplify]: iters left: 4 (131 enodes) 517.310 * * [simplify]: iters left: 3 (281 enodes) 517.381 * * [simplify]: Extracting #0: cost 1 inf + 0 517.382 * * [simplify]: Extracting #1: cost 17 inf + 0 517.382 * * [simplify]: Extracting #2: cost 104 inf + 0 517.382 * * [simplify]: Extracting #3: cost 161 inf + 206 517.383 * * [simplify]: Extracting #4: cost 162 inf + 571 517.383 * * [simplify]: Extracting #5: cost 162 inf + 629 517.384 * * [simplify]: Extracting #6: cost 144 inf + 4845 517.387 * * [simplify]: Extracting #7: cost 115 inf + 12286 517.394 * * [simplify]: Extracting #8: cost 30 inf + 46856 517.406 * * [simplify]: Extracting #9: cost 0 inf + 59886 517.419 * * [simplify]: Extracting #10: cost 0 inf + 59686 517.431 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 517.431 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 517.431 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 517.432 * * [simplify]: iters left: 6 (19 enodes) 517.439 * * [simplify]: iters left: 5 (75 enodes) 517.450 * * [simplify]: iters left: 4 (111 enodes) 517.469 * * [simplify]: iters left: 3 (244 enodes) 517.531 * * [simplify]: Extracting #0: cost 1 inf + 0 517.531 * * [simplify]: Extracting #1: cost 18 inf + 0 517.532 * * [simplify]: Extracting #2: cost 75 inf + 1 517.532 * * [simplify]: Extracting #3: cost 123 inf + 1 517.532 * * [simplify]: Extracting #4: cost 115 inf + 1708 517.534 * * [simplify]: Extracting #5: cost 83 inf + 10385 517.536 * * [simplify]: Extracting #6: cost 78 inf + 11373 517.542 * * [simplify]: Extracting #7: cost 25 inf + 31967 517.552 * * [simplify]: Extracting #8: cost 0 inf + 41997 517.562 * * [simplify]: Extracting #9: cost 0 inf + 41872 517.573 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 517.573 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))))))) 517.573 * * * * [progress]: [ 962 / 2246 ] simplifiying candidate # 517.573 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 517.574 * * [simplify]: iters left: 6 (22 enodes) 517.580 * * [simplify]: iters left: 5 (85 enodes) 517.593 * * [simplify]: iters left: 4 (166 enodes) 517.630 * * [simplify]: iters left: 3 (414 enodes) 517.757 * * [simplify]: Extracting #0: cost 1 inf + 0 517.757 * * [simplify]: Extracting #1: cost 15 inf + 0 517.757 * * [simplify]: Extracting #2: cost 118 inf + 0 517.758 * * [simplify]: Extracting #3: cost 235 inf + 85 517.759 * * [simplify]: Extracting #4: cost 235 inf + 533 517.760 * * [simplify]: Extracting #5: cost 226 inf + 2228 517.763 * * [simplify]: Extracting #6: cost 160 inf + 19672 517.771 * * [simplify]: Extracting #7: cost 107 inf + 38469 517.787 * * [simplify]: Extracting #8: cost 7 inf + 82253 517.808 * * [simplify]: Extracting #9: cost 0 inf + 85210 517.826 * [simplify]: Simplified to (+ (/ (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 517.826 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 517.827 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 517.827 * * [simplify]: iters left: 6 (18 enodes) 517.831 * * [simplify]: iters left: 5 (70 enodes) 517.842 * * [simplify]: iters left: 4 (126 enodes) 517.868 * * [simplify]: iters left: 3 (322 enodes) 517.964 * * [simplify]: Extracting #0: cost 1 inf + 0 517.964 * * [simplify]: Extracting #1: cost 0 inf + 1 517.964 * [simplify]: Simplified to 0 517.964 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 517.965 * * * * [progress]: [ 963 / 2246 ] simplifiying candidate # 517.965 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 517.965 * * [simplify]: iters left: 6 (22 enodes) 517.971 * * [simplify]: iters left: 5 (87 enodes) 517.986 * * [simplify]: iters left: 4 (174 enodes) 518.018 * * [simplify]: iters left: 3 (417 enodes) 518.130 * * [simplify]: Extracting #0: cost 1 inf + 0 518.130 * * [simplify]: Extracting #1: cost 11 inf + 0 518.130 * * [simplify]: Extracting #2: cost 108 inf + 0 518.131 * * [simplify]: Extracting #3: cost 215 inf + 44 518.132 * * [simplify]: Extracting #4: cost 217 inf + 330 518.133 * * [simplify]: Extracting #5: cost 210 inf + 1431 518.135 * * [simplify]: Extracting #6: cost 178 inf + 9704 518.148 * * [simplify]: Extracting #7: cost 64 inf + 64186 518.173 * * [simplify]: Extracting #8: cost 0 inf + 96041 518.197 * * [simplify]: Extracting #9: cost 0 inf + 95841 518.221 * * [simplify]: Extracting #10: cost 0 inf + 95761 518.245 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ 1/2 (* (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x)))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x)))))) 518.245 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ 1/2 (* (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x)))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 518.245 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 518.245 * * [simplify]: iters left: 6 (18 enodes) 518.250 * * [simplify]: iters left: 5 (72 enodes) 518.262 * * [simplify]: iters left: 4 (139 enodes) 518.288 * * [simplify]: iters left: 3 (344 enodes) 518.383 * * [simplify]: Extracting #0: cost 1 inf + 0 518.383 * * [simplify]: Extracting #1: cost 0 inf + 1 518.383 * [simplify]: Simplified to 0 518.383 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 518.384 * * * * [progress]: [ 964 / 2246 ] simplifiying candidate # 518.384 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 518.384 * * [simplify]: iters left: 6 (20 enodes) 518.389 * * [simplify]: iters left: 5 (76 enodes) 518.400 * * [simplify]: iters left: 4 (129 enodes) 518.422 * * [simplify]: iters left: 3 (277 enodes) 518.478 * * [simplify]: Extracting #0: cost 1 inf + 0 518.478 * * [simplify]: Extracting #1: cost 9 inf + 0 518.478 * * [simplify]: Extracting #2: cost 78 inf + 0 518.478 * * [simplify]: Extracting #3: cost 139 inf + 3 518.479 * * [simplify]: Extracting #4: cost 142 inf + 166 518.479 * * [simplify]: Extracting #5: cost 140 inf + 387 518.480 * * [simplify]: Extracting #6: cost 124 inf + 3130 518.483 * * [simplify]: Extracting #7: cost 64 inf + 22774 518.494 * * [simplify]: Extracting #8: cost 5 inf + 47800 518.507 * * [simplify]: Extracting #9: cost 0 inf + 50250 518.519 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 518.519 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 518.519 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 518.519 * * [simplify]: iters left: 6 (16 enodes) 518.523 * * [simplify]: iters left: 5 (62 enodes) 518.533 * * [simplify]: iters left: 4 (105 enodes) 518.550 * * [simplify]: iters left: 3 (234 enodes) 518.602 * * [simplify]: Extracting #0: cost 1 inf + 0 518.602 * * [simplify]: Extracting #1: cost 0 inf + 1 518.602 * [simplify]: Simplified to 0 518.602 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 518.602 * * * * [progress]: [ 965 / 2246 ] simplifiying candidate # 518.602 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 518.602 * * [simplify]: iters left: 6 (20 enodes) 518.608 * * [simplify]: iters left: 5 (78 enodes) 518.620 * * [simplify]: iters left: 4 (148 enodes) 518.652 * * [simplify]: iters left: 3 (306 enodes) 518.732 * * [simplify]: Extracting #0: cost 1 inf + 0 518.732 * * [simplify]: Extracting #1: cost 15 inf + 0 518.732 * * [simplify]: Extracting #2: cost 76 inf + 0 518.732 * * [simplify]: Extracting #3: cost 119 inf + 2 518.733 * * [simplify]: Extracting #4: cost 120 inf + 166 518.733 * * [simplify]: Extracting #5: cost 114 inf + 833 518.734 * * [simplify]: Extracting #6: cost 97 inf + 3793 518.738 * * [simplify]: Extracting #7: cost 34 inf + 23241 518.746 * * [simplify]: Extracting #8: cost 3 inf + 35060 518.757 * * [simplify]: Extracting #9: cost 0 inf + 36525 518.766 * [simplify]: Simplified to (+ (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 518.766 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))))) 518.766 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1))) 518.767 * * [simplify]: iters left: 6 (16 enodes) 518.771 * * [simplify]: iters left: 5 (63 enodes) 518.780 * * [simplify]: iters left: 4 (113 enodes) 518.802 * * [simplify]: iters left: 3 (256 enodes) 518.866 * * [simplify]: Extracting #0: cost 1 inf + 0 518.866 * * [simplify]: Extracting #1: cost 0 inf + 1 518.866 * [simplify]: Simplified to 0 518.866 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 0))) 518.867 * * * * [progress]: [ 966 / 2246 ] simplifiying candidate # 518.867 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 518.867 * * [simplify]: iters left: 6 (19 enodes) 518.872 * * [simplify]: iters left: 5 (76 enodes) 518.886 * * [simplify]: iters left: 4 (115 enodes) 518.905 * * [simplify]: iters left: 3 (241 enodes) 518.959 * * [simplify]: iters left: 2 (477 enodes) 519.089 * * [simplify]: Extracting #0: cost 1 inf + 0 519.090 * * [simplify]: Extracting #1: cost 24 inf + 0 519.090 * * [simplify]: Extracting #2: cost 71 inf + 1 519.090 * * [simplify]: Extracting #3: cost 107 inf + 2 519.091 * * [simplify]: Extracting #4: cost 100 inf + 760 519.094 * * [simplify]: Extracting #5: cost 35 inf + 17065 519.102 * * [simplify]: Extracting #6: cost 1 inf + 27373 519.110 * * [simplify]: Extracting #7: cost 0 inf + 27726 519.120 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 519.120 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))))) 519.121 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)))) 519.121 * * [simplify]: iters left: 6 (17 enodes) 519.125 * * [simplify]: iters left: 5 (68 enodes) 519.135 * * [simplify]: iters left: 4 (101 enodes) 519.152 * * [simplify]: iters left: 3 (206 enodes) 519.197 * * [simplify]: iters left: 2 (407 enodes) 519.306 * * [simplify]: Extracting #0: cost 1 inf + 0 519.306 * * [simplify]: Extracting #1: cost 0 inf + 1 519.306 * [simplify]: Simplified to 0 519.306 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 519.306 * * * * [progress]: [ 967 / 2246 ] simplifiying candidate # 519.306 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 519.307 * * [simplify]: iters left: 6 (19 enodes) 519.311 * * [simplify]: iters left: 5 (76 enodes) 519.323 * * [simplify]: iters left: 4 (115 enodes) 519.343 * * [simplify]: iters left: 3 (241 enodes) 519.397 * * [simplify]: iters left: 2 (477 enodes) 519.526 * * [simplify]: Extracting #0: cost 1 inf + 0 519.526 * * [simplify]: Extracting #1: cost 24 inf + 0 519.526 * * [simplify]: Extracting #2: cost 71 inf + 1 519.527 * * [simplify]: Extracting #3: cost 107 inf + 2 519.527 * * [simplify]: Extracting #4: cost 100 inf + 760 519.530 * * [simplify]: Extracting #5: cost 35 inf + 17065 519.538 * * [simplify]: Extracting #6: cost 1 inf + 27373 519.546 * * [simplify]: Extracting #7: cost 0 inf + 27726 519.555 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 519.555 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))))) 519.555 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)))) 519.555 * * [simplify]: iters left: 6 (17 enodes) 519.560 * * [simplify]: iters left: 5 (68 enodes) 519.570 * * [simplify]: iters left: 4 (101 enodes) 519.589 * * [simplify]: iters left: 3 (206 enodes) 519.632 * * [simplify]: iters left: 2 (407 enodes) 519.740 * * [simplify]: Extracting #0: cost 1 inf + 0 519.740 * * [simplify]: Extracting #1: cost 0 inf + 1 519.740 * [simplify]: Simplified to 0 519.740 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 519.741 * * * * [progress]: [ 968 / 2246 ] simplifiying candidate # 519.741 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 519.741 * * [simplify]: iters left: 6 (20 enodes) 519.747 * * [simplify]: iters left: 5 (78 enodes) 519.760 * * [simplify]: iters left: 4 (148 enodes) 519.790 * * [simplify]: iters left: 3 (306 enodes) 519.869 * * [simplify]: Extracting #0: cost 1 inf + 0 519.869 * * [simplify]: Extracting #1: cost 15 inf + 0 519.869 * * [simplify]: Extracting #2: cost 76 inf + 0 519.871 * * [simplify]: Extracting #3: cost 119 inf + 2 519.872 * * [simplify]: Extracting #4: cost 120 inf + 166 519.872 * * [simplify]: Extracting #5: cost 114 inf + 833 519.873 * * [simplify]: Extracting #6: cost 97 inf + 3793 519.878 * * [simplify]: Extracting #7: cost 34 inf + 23241 519.886 * * [simplify]: Extracting #8: cost 3 inf + 35060 519.895 * * [simplify]: Extracting #9: cost 0 inf + 36525 519.904 * [simplify]: Simplified to (+ (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 519.904 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))))) 519.904 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1))) 519.904 * * [simplify]: iters left: 6 (16 enodes) 519.908 * * [simplify]: iters left: 5 (63 enodes) 519.918 * * [simplify]: iters left: 4 (113 enodes) 519.940 * * [simplify]: iters left: 3 (256 enodes) 520.005 * * [simplify]: Extracting #0: cost 1 inf + 0 520.005 * * [simplify]: Extracting #1: cost 0 inf + 1 520.005 * [simplify]: Simplified to 0 520.005 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 0))) 520.005 * * * * [progress]: [ 969 / 2246 ] simplifiying candidate # 520.005 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 520.006 * * [simplify]: iters left: 6 (22 enodes) 520.012 * * [simplify]: iters left: 5 (86 enodes) 520.025 * * [simplify]: iters left: 4 (161 enodes) 520.056 * * [simplify]: iters left: 3 (372 enodes) 520.161 * * [simplify]: Extracting #0: cost 1 inf + 0 520.161 * * [simplify]: Extracting #1: cost 12 inf + 0 520.162 * * [simplify]: Extracting #2: cost 102 inf + 0 520.162 * * [simplify]: Extracting #3: cost 187 inf + 125 520.163 * * [simplify]: Extracting #4: cost 177 inf + 1318 520.165 * * [simplify]: Extracting #5: cost 156 inf + 7074 520.178 * * [simplify]: Extracting #6: cost 41 inf + 57788 520.197 * * [simplify]: Extracting #7: cost 2 inf + 76130 520.215 * * [simplify]: Extracting #8: cost 0 inf + 77166 520.234 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 520.234 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 520.234 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 520.235 * * [simplify]: iters left: 6 (18 enodes) 520.239 * * [simplify]: iters left: 5 (71 enodes) 520.250 * * [simplify]: iters left: 4 (135 enodes) 520.279 * * [simplify]: iters left: 3 (317 enodes) 520.371 * * [simplify]: Extracting #0: cost 1 inf + 0 520.371 * * [simplify]: Extracting #1: cost 0 inf + 1 520.371 * [simplify]: Simplified to 0 520.371 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 520.372 * * * * [progress]: [ 970 / 2246 ] simplifiying candidate # 520.372 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 520.372 * * [simplify]: iters left: 6 (21 enodes) 520.378 * * [simplify]: iters left: 5 (81 enodes) 520.390 * * [simplify]: iters left: 4 (136 enodes) 520.413 * * [simplify]: iters left: 3 (267 enodes) 520.471 * * [simplify]: iters left: 2 (470 enodes) 520.595 * * [simplify]: Extracting #0: cost 1 inf + 0 520.595 * * [simplify]: Extracting #1: cost 27 inf + 0 520.595 * * [simplify]: Extracting #2: cost 76 inf + 1 520.596 * * [simplify]: Extracting #3: cost 107 inf + 3 520.596 * * [simplify]: Extracting #4: cost 102 inf + 445 520.597 * * [simplify]: Extracting #5: cost 84 inf + 2864 520.601 * * [simplify]: Extracting #6: cost 29 inf + 20019 520.609 * * [simplify]: Extracting #7: cost 2 inf + 29866 520.618 * * [simplify]: Extracting #8: cost 0 inf + 30540 520.628 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 520.628 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 520.628 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 520.628 * * [simplify]: iters left: 6 (17 enodes) 520.633 * * [simplify]: iters left: 5 (66 enodes) 520.643 * * [simplify]: iters left: 4 (111 enodes) 520.664 * * [simplify]: iters left: 3 (224 enodes) 520.713 * * [simplify]: iters left: 2 (415 enodes) 520.809 * * [simplify]: Extracting #0: cost 1 inf + 0 520.809 * * [simplify]: Extracting #1: cost 0 inf + 1 520.809 * [simplify]: Simplified to 0 520.809 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 520.809 * * * * [progress]: [ 971 / 2246 ] simplifiying candidate # 520.809 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 520.809 * * [simplify]: iters left: 6 (20 enodes) 520.815 * * [simplify]: iters left: 5 (72 enodes) 520.825 * * [simplify]: iters left: 4 (128 enodes) 520.850 * * [simplify]: iters left: 3 (240 enodes) 520.890 * * [simplify]: iters left: 2 (375 enodes) 520.963 * * [simplify]: iters left: 1 (487 enodes) 521.044 * * [simplify]: Extracting #0: cost 1 inf + 0 521.044 * * [simplify]: Extracting #1: cost 21 inf + 0 521.044 * * [simplify]: Extracting #2: cost 54 inf + 1 521.044 * * [simplify]: Extracting #3: cost 76 inf + 3 521.045 * * [simplify]: Extracting #4: cost 69 inf + 625 521.045 * * [simplify]: Extracting #5: cost 52 inf + 2920 521.048 * * [simplify]: Extracting #6: cost 11 inf + 14770 521.053 * * [simplify]: Extracting #7: cost 0 inf + 18499 521.058 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 521.058 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))))) 521.059 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1))) 521.059 * * [simplify]: iters left: 6 (16 enodes) 521.064 * * [simplify]: iters left: 5 (58 enodes) 521.074 * * [simplify]: iters left: 4 (106 enodes) 521.090 * * [simplify]: iters left: 3 (186 enodes) 521.129 * * [simplify]: iters left: 2 (342 enodes) 521.200 * * [simplify]: iters left: 1 (486 enodes) 521.299 * * [simplify]: Extracting #0: cost 1 inf + 0 521.299 * * [simplify]: Extracting #1: cost 0 inf + 1 521.299 * [simplify]: Simplified to 0 521.299 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 521.299 * * * * [progress]: [ 972 / 2246 ] simplifiying candidate # 521.299 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 521.299 * * [simplify]: iters left: 6 (19 enodes) 521.305 * * [simplify]: iters left: 5 (72 enodes) 521.316 * * [simplify]: iters left: 4 (118 enodes) 521.334 * * [simplify]: iters left: 3 (205 enodes) 521.368 * * [simplify]: iters left: 2 (322 enodes) 521.438 * * [simplify]: iters left: 1 (470 enodes) 521.548 * * [simplify]: Extracting #0: cost 1 inf + 0 521.548 * * [simplify]: Extracting #1: cost 32 inf + 0 521.548 * * [simplify]: Extracting #2: cost 69 inf + 1 521.548 * * [simplify]: Extracting #3: cost 85 inf + 44 521.549 * * [simplify]: Extracting #4: cost 77 inf + 1158 521.552 * * [simplify]: Extracting #5: cost 30 inf + 12112 521.557 * * [simplify]: Extracting #6: cost 7 inf + 18698 521.563 * * [simplify]: Extracting #7: cost 0 inf + 21969 521.569 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 521.569 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))))) 521.570 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1)))) 521.570 * * [simplify]: iters left: 6 (17 enodes) 521.575 * * [simplify]: iters left: 5 (66 enodes) 521.587 * * [simplify]: iters left: 4 (101 enodes) 521.602 * * [simplify]: iters left: 3 (170 enodes) 521.629 * * [simplify]: iters left: 2 (266 enodes) 521.679 * * [simplify]: iters left: 1 (380 enodes) 521.762 * * [simplify]: Extracting #0: cost 1 inf + 0 521.762 * * [simplify]: Extracting #1: cost 0 inf + 1 521.762 * [simplify]: Simplified to 0 521.762 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 0))) 521.763 * * * * [progress]: [ 973 / 2246 ] simplifiying candidate # 521.763 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 521.763 * * [simplify]: iters left: 6 (19 enodes) 521.769 * * [simplify]: iters left: 5 (72 enodes) 521.779 * * [simplify]: iters left: 4 (118 enodes) 521.798 * * [simplify]: iters left: 3 (205 enodes) 521.831 * * [simplify]: iters left: 2 (322 enodes) 521.901 * * [simplify]: iters left: 1 (470 enodes) 522.010 * * [simplify]: Extracting #0: cost 1 inf + 0 522.010 * * [simplify]: Extracting #1: cost 32 inf + 0 522.010 * * [simplify]: Extracting #2: cost 69 inf + 1 522.011 * * [simplify]: Extracting #3: cost 85 inf + 44 522.011 * * [simplify]: Extracting #4: cost 77 inf + 1158 522.014 * * [simplify]: Extracting #5: cost 30 inf + 12112 522.020 * * [simplify]: Extracting #6: cost 7 inf + 18698 522.025 * * [simplify]: Extracting #7: cost 0 inf + 21969 522.032 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 522.032 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))))) 522.032 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1)))) 522.032 * * [simplify]: iters left: 6 (17 enodes) 522.038 * * [simplify]: iters left: 5 (66 enodes) 522.047 * * [simplify]: iters left: 4 (101 enodes) 522.064 * * [simplify]: iters left: 3 (170 enodes) 522.091 * * [simplify]: iters left: 2 (266 enodes) 522.141 * * [simplify]: iters left: 1 (380 enodes) 522.222 * * [simplify]: Extracting #0: cost 1 inf + 0 522.222 * * [simplify]: Extracting #1: cost 0 inf + 1 522.222 * [simplify]: Simplified to 0 522.222 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 0))) 522.223 * * * * [progress]: [ 974 / 2246 ] simplifiying candidate # 522.224 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 522.224 * * [simplify]: iters left: 6 (20 enodes) 522.230 * * [simplify]: iters left: 5 (72 enodes) 522.240 * * [simplify]: iters left: 4 (128 enodes) 522.263 * * [simplify]: iters left: 3 (240 enodes) 522.305 * * [simplify]: iters left: 2 (375 enodes) 522.377 * * [simplify]: iters left: 1 (487 enodes) 522.460 * * [simplify]: Extracting #0: cost 1 inf + 0 522.460 * * [simplify]: Extracting #1: cost 21 inf + 0 522.460 * * [simplify]: Extracting #2: cost 54 inf + 1 522.460 * * [simplify]: Extracting #3: cost 76 inf + 3 522.460 * * [simplify]: Extracting #4: cost 69 inf + 625 522.461 * * [simplify]: Extracting #5: cost 52 inf + 2920 522.464 * * [simplify]: Extracting #6: cost 11 inf + 14770 522.469 * * [simplify]: Extracting #7: cost 0 inf + 18499 522.474 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 522.474 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))))) 522.475 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1))) 522.475 * * [simplify]: iters left: 6 (16 enodes) 522.479 * * [simplify]: iters left: 5 (58 enodes) 522.488 * * [simplify]: iters left: 4 (106 enodes) 522.505 * * [simplify]: iters left: 3 (186 enodes) 522.544 * * [simplify]: iters left: 2 (342 enodes) 522.616 * * [simplify]: iters left: 1 (486 enodes) 522.715 * * [simplify]: Extracting #0: cost 1 inf + 0 522.715 * * [simplify]: Extracting #1: cost 0 inf + 1 522.715 * [simplify]: Simplified to 0 522.715 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 522.715 * * * * [progress]: [ 975 / 2246 ] simplifiying candidate # 522.715 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 522.715 * * [simplify]: iters left: 6 (24 enodes) 522.722 * * [simplify]: iters left: 5 (96 enodes) 522.737 * * [simplify]: iters left: 4 (200 enodes) 522.782 * * [simplify]: Extracting #0: cost 1 inf + 0 522.782 * * [simplify]: Extracting #1: cost 11 inf + 0 522.782 * * [simplify]: Extracting #2: cost 101 inf + 0 522.782 * * [simplify]: Extracting #3: cost 171 inf + 45 522.783 * * [simplify]: Extracting #4: cost 174 inf + 86 522.783 * * [simplify]: Extracting #5: cost 175 inf + 87 522.784 * * [simplify]: Extracting #6: cost 173 inf + 299 522.785 * * [simplify]: Extracting #7: cost 154 inf + 3915 522.788 * * [simplify]: Extracting #8: cost 99 inf + 23982 522.801 * * [simplify]: Extracting #9: cost 7 inf + 72017 522.815 * * [simplify]: Extracting #10: cost 0 inf + 74468 522.831 * * [simplify]: Extracting #11: cost 0 inf + 74028 522.846 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))))) 522.846 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 522.846 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 522.847 * * [simplify]: iters left: 6 (19 enodes) 522.851 * * [simplify]: iters left: 5 (78 enodes) 522.864 * * [simplify]: iters left: 4 (164 enodes) 522.903 * * [simplify]: iters left: 3 (469 enodes) 523.158 * * [simplify]: Extracting #0: cost 1 inf + 0 523.159 * * [simplify]: Extracting #1: cost 0 inf + 1 523.159 * [simplify]: Simplified to 0 523.159 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 523.159 * * * * [progress]: [ 976 / 2246 ] simplifiying candidate # 523.159 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 523.159 * * [simplify]: iters left: 6 (23 enodes) 523.166 * * [simplify]: iters left: 5 (91 enodes) 523.180 * * [simplify]: iters left: 4 (170 enodes) 523.215 * * [simplify]: iters left: 3 (396 enodes) 523.356 * * [simplify]: Extracting #0: cost 1 inf + 0 523.357 * * [simplify]: Extracting #1: cost 11 inf + 0 523.357 * * [simplify]: Extracting #2: cost 129 inf + 0 523.358 * * [simplify]: Extracting #3: cost 234 inf + 45 523.359 * * [simplify]: Extracting #4: cost 236 inf + 168 523.360 * * [simplify]: Extracting #5: cost 222 inf + 2953 523.362 * * [simplify]: Extracting #6: cost 186 inf + 11008 523.366 * * [simplify]: Extracting #7: cost 153 inf + 23170 523.385 * * [simplify]: Extracting #8: cost 36 inf + 74089 523.407 * * [simplify]: Extracting #9: cost 0 inf + 90391 523.429 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x)))) 523.429 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x)))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 523.430 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 523.430 * * [simplify]: iters left: 6 (18 enodes) 523.434 * * [simplify]: iters left: 5 (73 enodes) 523.446 * * [simplify]: iters left: 4 (136 enodes) 523.474 * * [simplify]: iters left: 3 (336 enodes) 523.604 * * [simplify]: Extracting #0: cost 1 inf + 0 523.604 * * [simplify]: Extracting #1: cost 0 inf + 1 523.604 * [simplify]: Simplified to 0 523.604 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 523.604 * * * * [progress]: [ 977 / 2246 ] simplifiying candidate # 523.604 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 523.605 * * [simplify]: iters left: 6 (22 enodes) 523.611 * * [simplify]: iters left: 5 (86 enodes) 523.627 * * [simplify]: iters left: 4 (163 enodes) 523.661 * * [simplify]: iters left: 3 (369 enodes) 523.795 * * [simplify]: Extracting #0: cost 1 inf + 0 523.795 * * [simplify]: Extracting #1: cost 11 inf + 0 523.795 * * [simplify]: Extracting #2: cost 137 inf + 0 523.796 * * [simplify]: Extracting #3: cost 209 inf + 209 523.796 * * [simplify]: Extracting #4: cost 210 inf + 414 523.797 * * [simplify]: Extracting #5: cost 194 inf + 3553 523.802 * * [simplify]: Extracting #6: cost 118 inf + 26010 523.816 * * [simplify]: Extracting #7: cost 23 inf + 60749 523.831 * * [simplify]: Extracting #8: cost 0 inf + 69571 523.847 * * [simplify]: Extracting #9: cost 0 inf + 69471 523.865 * [simplify]: Simplified to (+ (/ (/ (/ (/ -1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 523.865 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ (/ (/ (/ -1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 523.865 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 523.865 * * [simplify]: iters left: 6 (17 enodes) 523.870 * * [simplify]: iters left: 5 (68 enodes) 523.881 * * [simplify]: iters left: 4 (127 enodes) 523.908 * * [simplify]: iters left: 3 (292 enodes) 524.010 * * [simplify]: Extracting #0: cost 1 inf + 0 524.010 * * [simplify]: Extracting #1: cost 0 inf + 1 524.010 * [simplify]: Simplified to 0 524.010 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 524.010 * * * * [progress]: [ 978 / 2246 ] simplifiying candidate # 524.010 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 524.011 * * [simplify]: iters left: 6 (21 enodes) 524.017 * * [simplify]: iters left: 5 (84 enodes) 524.030 * * [simplify]: iters left: 4 (137 enodes) 524.057 * * [simplify]: iters left: 3 (299 enodes) 524.150 * * [simplify]: Extracting #0: cost 1 inf + 0 524.150 * * [simplify]: Extracting #1: cost 14 inf + 0 524.150 * * [simplify]: Extracting #2: cost 101 inf + 0 524.151 * * [simplify]: Extracting #3: cost 158 inf + 209 524.151 * * [simplify]: Extracting #4: cost 160 inf + 332 524.152 * * [simplify]: Extracting #5: cost 160 inf + 390 524.153 * * [simplify]: Extracting #6: cost 126 inf + 7464 524.160 * * [simplify]: Extracting #7: cost 31 inf + 38488 524.171 * * [simplify]: Extracting #8: cost 0 inf + 50850 524.181 * [simplify]: Simplified to (fma (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 524.181 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 524.182 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 524.182 * * [simplify]: iters left: 6 (18 enodes) 524.187 * * [simplify]: iters left: 5 (73 enodes) 524.199 * * [simplify]: iters left: 4 (112 enodes) 524.218 * * [simplify]: iters left: 3 (236 enodes) 524.289 * * [simplify]: Extracting #0: cost 1 inf + 0 524.289 * * [simplify]: Extracting #1: cost 20 inf + 0 524.289 * * [simplify]: Extracting #2: cost 95 inf + 1 524.290 * * [simplify]: Extracting #3: cost 118 inf + 4 524.290 * * [simplify]: Extracting #4: cost 111 inf + 1145 524.291 * * [simplify]: Extracting #5: cost 86 inf + 6974 524.293 * * [simplify]: Extracting #6: cost 75 inf + 9748 524.295 * * [simplify]: Extracting #7: cost 70 inf + 10597 524.300 * * [simplify]: Extracting #8: cost 17 inf + 29887 524.309 * * [simplify]: Extracting #9: cost 0 inf + 36382 524.318 * * [simplify]: Extracting #10: cost 0 inf + 36332 524.326 * [simplify]: Simplified to (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 524.326 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) 524.327 * * * * [progress]: [ 979 / 2246 ] simplifiying candidate # 524.327 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 524.327 * * [simplify]: iters left: 6 (21 enodes) 524.333 * * [simplify]: iters left: 5 (84 enodes) 524.347 * * [simplify]: iters left: 4 (137 enodes) 524.374 * * [simplify]: iters left: 3 (299 enodes) 524.465 * * [simplify]: Extracting #0: cost 1 inf + 0 524.465 * * [simplify]: Extracting #1: cost 14 inf + 0 524.466 * * [simplify]: Extracting #2: cost 101 inf + 0 524.468 * * [simplify]: Extracting #3: cost 158 inf + 209 524.469 * * [simplify]: Extracting #4: cost 160 inf + 332 524.469 * * [simplify]: Extracting #5: cost 160 inf + 390 524.470 * * [simplify]: Extracting #6: cost 126 inf + 7464 524.477 * * [simplify]: Extracting #7: cost 31 inf + 38488 524.488 * * [simplify]: Extracting #8: cost 0 inf + 50850 524.499 * [simplify]: Simplified to (fma (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 524.499 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 524.499 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 524.499 * * [simplify]: iters left: 6 (18 enodes) 524.504 * * [simplify]: iters left: 5 (73 enodes) 524.516 * * [simplify]: iters left: 4 (112 enodes) 524.535 * * [simplify]: iters left: 3 (236 enodes) 524.606 * * [simplify]: Extracting #0: cost 1 inf + 0 524.606 * * [simplify]: Extracting #1: cost 20 inf + 0 524.607 * * [simplify]: Extracting #2: cost 95 inf + 1 524.607 * * [simplify]: Extracting #3: cost 118 inf + 4 524.607 * * [simplify]: Extracting #4: cost 111 inf + 1145 524.609 * * [simplify]: Extracting #5: cost 86 inf + 6974 524.610 * * [simplify]: Extracting #6: cost 75 inf + 9748 524.612 * * [simplify]: Extracting #7: cost 70 inf + 10597 524.618 * * [simplify]: Extracting #8: cost 17 inf + 29887 524.626 * * [simplify]: Extracting #9: cost 0 inf + 36382 524.635 * * [simplify]: Extracting #10: cost 0 inf + 36332 524.644 * [simplify]: Simplified to (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 524.644 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) 524.644 * * * * [progress]: [ 980 / 2246 ] simplifiying candidate # 524.644 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 524.644 * * [simplify]: iters left: 6 (22 enodes) 524.651 * * [simplify]: iters left: 5 (86 enodes) 524.665 * * [simplify]: iters left: 4 (163 enodes) 524.700 * * [simplify]: iters left: 3 (369 enodes) 524.834 * * [simplify]: Extracting #0: cost 1 inf + 0 524.834 * * [simplify]: Extracting #1: cost 11 inf + 0 524.835 * * [simplify]: Extracting #2: cost 137 inf + 0 524.836 * * [simplify]: Extracting #3: cost 209 inf + 209 524.836 * * [simplify]: Extracting #4: cost 210 inf + 414 524.837 * * [simplify]: Extracting #5: cost 194 inf + 3553 524.842 * * [simplify]: Extracting #6: cost 118 inf + 26010 524.856 * * [simplify]: Extracting #7: cost 23 inf + 60749 524.872 * * [simplify]: Extracting #8: cost 0 inf + 69571 524.887 * * [simplify]: Extracting #9: cost 0 inf + 69471 524.903 * [simplify]: Simplified to (+ (/ (/ (/ (/ -1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 524.903 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ (/ (/ (/ -1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 524.904 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 524.904 * * [simplify]: iters left: 6 (17 enodes) 524.908 * * [simplify]: iters left: 5 (68 enodes) 524.921 * * [simplify]: iters left: 4 (127 enodes) 524.946 * * [simplify]: iters left: 3 (292 enodes) 525.049 * * [simplify]: Extracting #0: cost 1 inf + 0 525.049 * * [simplify]: Extracting #1: cost 0 inf + 1 525.049 * [simplify]: Simplified to 0 525.049 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 525.050 * * * * [progress]: [ 981 / 2246 ] simplifiying candidate # 525.050 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 525.050 * * [simplify]: iters left: 6 (23 enodes) 525.056 * * [simplify]: iters left: 5 (91 enodes) 525.071 * * [simplify]: iters left: 4 (185 enodes) 525.110 * * [simplify]: iters left: 3 (428 enodes) 525.267 * * [simplify]: Extracting #0: cost 1 inf + 0 525.267 * * [simplify]: Extracting #1: cost 11 inf + 0 525.267 * * [simplify]: Extracting #2: cost 151 inf + 0 525.268 * * [simplify]: Extracting #3: cost 276 inf + 45 525.270 * * [simplify]: Extracting #4: cost 277 inf + 169 525.271 * * [simplify]: Extracting #5: cost 263 inf + 2392 525.273 * * [simplify]: Extracting #6: cost 247 inf + 5052 525.275 * * [simplify]: Extracting #7: cost 228 inf + 11076 525.294 * * [simplify]: Extracting #8: cost 53 inf + 90485 525.325 * * [simplify]: Extracting #9: cost 0 inf + 116382 525.355 * * [simplify]: Extracting #10: cost 0 inf + 116302 525.384 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x)))))) 525.384 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x)))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 525.384 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 525.384 * * [simplify]: iters left: 6 (18 enodes) 525.389 * * [simplify]: iters left: 5 (73 enodes) 525.401 * * [simplify]: iters left: 4 (149 enodes) 525.433 * * [simplify]: iters left: 3 (359 enodes) 525.578 * * [simplify]: Extracting #0: cost 1 inf + 0 525.578 * * [simplify]: Extracting #1: cost 0 inf + 1 525.578 * [simplify]: Simplified to 0 525.578 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 525.579 * * * * [progress]: [ 982 / 2246 ] simplifiying candidate # 525.579 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 525.579 * * [simplify]: iters left: 6 (22 enodes) 525.585 * * [simplify]: iters left: 5 (85 enodes) 525.598 * * [simplify]: iters left: 4 (155 enodes) 525.628 * * [simplify]: iters left: 3 (317 enodes) 525.724 * * [simplify]: Extracting #0: cost 1 inf + 0 525.725 * * [simplify]: Extracting #1: cost 11 inf + 0 525.725 * * [simplify]: Extracting #2: cost 112 inf + 0 525.725 * * [simplify]: Extracting #3: cost 175 inf + 86 525.726 * * [simplify]: Extracting #4: cost 178 inf + 168 525.729 * * [simplify]: Extracting #5: cost 168 inf + 1561 525.730 * * [simplify]: Extracting #6: cost 149 inf + 4876 525.733 * * [simplify]: Extracting #7: cost 115 inf + 15629 525.745 * * [simplify]: Extracting #8: cost 23 inf + 51290 525.761 * * [simplify]: Extracting #9: cost 0 inf + 60420 525.776 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (* (sqrt (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 525.776 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (* (sqrt (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 525.776 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 525.776 * * [simplify]: iters left: 6 (17 enodes) 525.781 * * [simplify]: iters left: 5 (67 enodes) 525.791 * * [simplify]: iters left: 4 (121 enodes) 525.816 * * [simplify]: iters left: 3 (261 enodes) 525.900 * * [simplify]: Extracting #0: cost 1 inf + 0 525.900 * * [simplify]: Extracting #1: cost 0 inf + 1 525.900 * [simplify]: Simplified to 0 525.900 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (* (sqrt (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 0))) 525.900 * * * * [progress]: [ 983 / 2246 ] simplifiying candidate # 525.901 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 525.901 * * [simplify]: iters left: 6 (21 enodes) 525.907 * * [simplify]: iters left: 5 (81 enodes) 525.922 * * [simplify]: iters left: 4 (143 enodes) 525.949 * * [simplify]: iters left: 3 (293 enodes) 526.044 * * [simplify]: Extracting #0: cost 1 inf + 0 526.044 * * [simplify]: Extracting #1: cost 11 inf + 0 526.044 * * [simplify]: Extracting #2: cost 115 inf + 0 526.045 * * [simplify]: Extracting #3: cost 145 inf + 250 526.045 * * [simplify]: Extracting #4: cost 147 inf + 414 526.046 * * [simplify]: Extracting #5: cost 147 inf + 472 526.047 * * [simplify]: Extracting #6: cost 127 inf + 3564 526.048 * * [simplify]: Extracting #7: cost 107 inf + 7118 526.052 * * [simplify]: Extracting #8: cost 80 inf + 15502 526.060 * * [simplify]: Extracting #9: cost 23 inf + 34112 526.070 * * [simplify]: Extracting #10: cost 0 inf + 41549 526.080 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) 526.080 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))))) 526.081 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1))) 526.081 * * [simplify]: iters left: 6 (16 enodes) 526.085 * * [simplify]: iters left: 5 (63 enodes) 526.095 * * [simplify]: iters left: 4 (109 enodes) 526.119 * * [simplify]: iters left: 3 (230 enodes) 526.189 * * [simplify]: Extracting #0: cost 1 inf + 0 526.189 * * [simplify]: Extracting #1: cost 0 inf + 1 526.189 * [simplify]: Simplified to 0 526.189 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 0))) 526.189 * * * * [progress]: [ 984 / 2246 ] simplifiying candidate # 526.190 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 526.190 * * [simplify]: iters left: 6 (20 enodes) 526.195 * * [simplify]: iters left: 5 (79 enodes) 526.208 * * [simplify]: iters left: 4 (126 enodes) 526.233 * * [simplify]: iters left: 3 (265 enodes) 526.302 * * [simplify]: Extracting #0: cost 1 inf + 0 526.302 * * [simplify]: Extracting #1: cost 11 inf + 0 526.302 * * [simplify]: Extracting #2: cost 93 inf + 0 526.303 * * [simplify]: Extracting #3: cost 123 inf + 168 526.303 * * [simplify]: Extracting #4: cost 125 inf + 332 526.304 * * [simplify]: Extracting #5: cost 125 inf + 390 526.304 * * [simplify]: Extracting #6: cost 105 inf + 3561 526.309 * * [simplify]: Extracting #7: cost 26 inf + 26324 526.317 * * [simplify]: Extracting #8: cost 1 inf + 34224 526.325 * * [simplify]: Extracting #9: cost 0 inf + 34608 526.333 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) 526.333 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))))) 526.333 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)))) 526.333 * * [simplify]: iters left: 6 (17 enodes) 526.338 * * [simplify]: iters left: 5 (68 enodes) 526.350 * * [simplify]: iters left: 4 (102 enodes) 526.368 * * [simplify]: iters left: 3 (202 enodes) 526.418 * * [simplify]: iters left: 2 (433 enodes) 526.593 * * [simplify]: Extracting #0: cost 1 inf + 0 526.593 * * [simplify]: Extracting #1: cost 0 inf + 1 526.593 * [simplify]: Simplified to 0 526.593 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 526.593 * * * * [progress]: [ 985 / 2246 ] simplifiying candidate # 526.593 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 526.593 * * [simplify]: iters left: 6 (20 enodes) 526.599 * * [simplify]: iters left: 5 (79 enodes) 526.611 * * [simplify]: iters left: 4 (126 enodes) 526.636 * * [simplify]: iters left: 3 (265 enodes) 526.706 * * [simplify]: Extracting #0: cost 1 inf + 0 526.706 * * [simplify]: Extracting #1: cost 11 inf + 0 526.706 * * [simplify]: Extracting #2: cost 93 inf + 0 526.706 * * [simplify]: Extracting #3: cost 123 inf + 168 526.707 * * [simplify]: Extracting #4: cost 125 inf + 332 526.707 * * [simplify]: Extracting #5: cost 125 inf + 390 526.708 * * [simplify]: Extracting #6: cost 105 inf + 3561 526.712 * * [simplify]: Extracting #7: cost 26 inf + 26324 526.720 * * [simplify]: Extracting #8: cost 1 inf + 34224 526.728 * * [simplify]: Extracting #9: cost 0 inf + 34608 526.736 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) 526.736 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))))) 526.737 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)))) 526.737 * * [simplify]: iters left: 6 (17 enodes) 526.742 * * [simplify]: iters left: 5 (68 enodes) 526.754 * * [simplify]: iters left: 4 (102 enodes) 526.771 * * [simplify]: iters left: 3 (202 enodes) 526.822 * * [simplify]: iters left: 2 (433 enodes) 526.996 * * [simplify]: Extracting #0: cost 1 inf + 0 526.996 * * [simplify]: Extracting #1: cost 0 inf + 1 526.996 * [simplify]: Simplified to 0 526.996 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 526.996 * * * * [progress]: [ 986 / 2246 ] simplifiying candidate # 526.996 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 526.997 * * [simplify]: iters left: 6 (21 enodes) 527.003 * * [simplify]: iters left: 5 (81 enodes) 527.015 * * [simplify]: iters left: 4 (143 enodes) 527.045 * * [simplify]: iters left: 3 (293 enodes) 527.139 * * [simplify]: Extracting #0: cost 1 inf + 0 527.139 * * [simplify]: Extracting #1: cost 11 inf + 0 527.140 * * [simplify]: Extracting #2: cost 115 inf + 0 527.140 * * [simplify]: Extracting #3: cost 145 inf + 250 527.141 * * [simplify]: Extracting #4: cost 147 inf + 414 527.141 * * [simplify]: Extracting #5: cost 147 inf + 472 527.142 * * [simplify]: Extracting #6: cost 127 inf + 3564 527.144 * * [simplify]: Extracting #7: cost 107 inf + 7118 527.147 * * [simplify]: Extracting #8: cost 80 inf + 15502 527.155 * * [simplify]: Extracting #9: cost 23 inf + 34112 527.165 * * [simplify]: Extracting #10: cost 0 inf + 41549 527.176 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) 527.176 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))))) 527.176 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1))) 527.176 * * [simplify]: iters left: 6 (16 enodes) 527.180 * * [simplify]: iters left: 5 (63 enodes) 527.190 * * [simplify]: iters left: 4 (109 enodes) 527.214 * * [simplify]: iters left: 3 (230 enodes) 527.285 * * [simplify]: Extracting #0: cost 1 inf + 0 527.285 * * [simplify]: Extracting #1: cost 0 inf + 1 527.285 * [simplify]: Simplified to 0 527.285 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 0))) 527.285 * * * * [progress]: [ 987 / 2246 ] simplifiying candidate # 527.285 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 527.285 * * [simplify]: iters left: 6 (21 enodes) 527.291 * * [simplify]: iters left: 5 (81 enodes) 527.304 * * [simplify]: iters left: 4 (157 enodes) 527.337 * * [simplify]: iters left: 3 (343 enodes) 527.448 * * [simplify]: Extracting #0: cost 1 inf + 0 527.448 * * [simplify]: Extracting #1: cost 11 inf + 0 527.448 * * [simplify]: Extracting #2: cost 114 inf + 0 527.449 * * [simplify]: Extracting #3: cost 164 inf + 168 527.449 * * [simplify]: Extracting #4: cost 163 inf + 324 527.450 * * [simplify]: Extracting #5: cost 155 inf + 1364 527.452 * * [simplify]: Extracting #6: cost 117 inf + 14779 527.464 * * [simplify]: Extracting #7: cost 20 inf + 54008 527.479 * * [simplify]: Extracting #8: cost 0 inf + 62736 527.495 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 527.495 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 527.495 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 527.496 * * [simplify]: iters left: 6 (16 enodes) 527.501 * * [simplify]: iters left: 5 (63 enodes) 527.512 * * [simplify]: iters left: 4 (123 enodes) 527.537 * * [simplify]: iters left: 3 (281 enodes) 527.635 * * [simplify]: Extracting #0: cost 1 inf + 0 527.635 * * [simplify]: Extracting #1: cost 0 inf + 1 527.635 * [simplify]: Simplified to 0 527.635 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 527.636 * * * * [progress]: [ 988 / 2246 ] simplifiying candidate # 527.636 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 527.636 * * [simplify]: iters left: 6 (20 enodes) 527.642 * * [simplify]: iters left: 5 (76 enodes) 527.654 * * [simplify]: iters left: 4 (133 enodes) 527.680 * * [simplify]: iters left: 3 (244 enodes) 527.738 * * [simplify]: iters left: 2 (440 enodes) 527.898 * * [simplify]: Extracting #0: cost 1 inf + 0 527.899 * * [simplify]: Extracting #1: cost 35 inf + 0 527.899 * * [simplify]: Extracting #2: cost 112 inf + 44 527.899 * * [simplify]: Extracting #3: cost 137 inf + 333 527.900 * * [simplify]: Extracting #4: cost 133 inf + 709 527.901 * * [simplify]: Extracting #5: cost 116 inf + 2912 527.905 * * [simplify]: Extracting #6: cost 52 inf + 21807 527.915 * * [simplify]: Extracting #7: cost 2 inf + 38571 527.926 * * [simplify]: Extracting #8: cost 0 inf + 39287 527.937 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 527.937 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 527.937 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 527.937 * * [simplify]: iters left: 6 (15 enodes) 527.943 * * [simplify]: iters left: 5 (58 enodes) 527.952 * * [simplify]: iters left: 4 (101 enodes) 527.971 * * [simplify]: iters left: 3 (184 enodes) 528.015 * * [simplify]: iters left: 2 (365 enodes) 528.129 * * [simplify]: Extracting #0: cost 1 inf + 0 528.129 * * [simplify]: Extracting #1: cost 0 inf + 1 528.130 * [simplify]: Simplified to 0 528.130 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 528.130 * * * * [progress]: [ 989 / 2246 ] simplifiying candidate # 528.130 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 528.130 * * [simplify]: iters left: 6 (19 enodes) 528.136 * * [simplify]: iters left: 5 (70 enodes) 528.146 * * [simplify]: iters left: 4 (94 enodes) 528.160 * * [simplify]: iters left: 3 (135 enodes) 528.180 * * [simplify]: iters left: 2 (184 enodes) 528.212 * * [simplify]: iters left: 1 (333 enodes) 528.330 * * [simplify]: Extracting #0: cost 1 inf + 0 528.330 * * [simplify]: Extracting #1: cost 14 inf + 0 528.330 * * [simplify]: Extracting #2: cost 93 inf + 2 528.330 * * [simplify]: Extracting #3: cost 134 inf + 126 528.331 * * [simplify]: Extracting #4: cost 117 inf + 2105 528.332 * * [simplify]: Extracting #5: cost 82 inf + 7232 528.338 * * [simplify]: Extracting #6: cost 25 inf + 21905 528.346 * * [simplify]: Extracting #7: cost 0 inf + 29658 528.354 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 528.354 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))))) 528.354 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1))) 528.355 * * [simplify]: iters left: 6 (14 enodes) 528.358 * * [simplify]: iters left: 5 (51 enodes) 528.366 * * [simplify]: iters left: 4 (77 enodes) 528.378 * * [simplify]: iters left: 3 (112 enodes) 528.397 * * [simplify]: iters left: 2 (165 enodes) 528.421 * * [simplify]: iters left: 1 (238 enodes) 528.467 * * [simplify]: Extracting #0: cost 1 inf + 0 528.467 * * [simplify]: Extracting #1: cost 0 inf + 1 528.467 * [simplify]: Simplified to 0 528.467 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 528.468 * * * * [progress]: [ 990 / 2246 ] simplifiying candidate # 528.468 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 528.468 * * [simplify]: iters left: 6 (18 enodes) 528.474 * * [simplify]: iters left: 5 (70 enodes) 528.485 * * [simplify]: iters left: 4 (96 enodes) 528.500 * * [simplify]: iters left: 3 (139 enodes) 528.522 * * [simplify]: iters left: 2 (207 enodes) 528.565 * * [simplify]: iters left: 1 (406 enodes) 528.758 * * [simplify]: Extracting #0: cost 1 inf + 0 528.758 * * [simplify]: Extracting #1: cost 19 inf + 0 528.758 * * [simplify]: Extracting #2: cost 125 inf + 2 528.759 * * [simplify]: Extracting #3: cost 178 inf + 167 528.760 * * [simplify]: Extracting #4: cost 150 inf + 3386 528.766 * * [simplify]: Extracting #5: cost 72 inf + 18954 528.776 * * [simplify]: Extracting #6: cost 6 inf + 37932 528.788 * * [simplify]: Extracting #7: cost 0 inf + 39585 528.800 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 528.800 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))))) 528.800 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1)))) 528.800 * * [simplify]: iters left: 6 (15 enodes) 528.805 * * [simplify]: iters left: 5 (58 enodes) 528.815 * * [simplify]: iters left: 4 (94 enodes) 528.829 * * [simplify]: iters left: 3 (132 enodes) 528.849 * * [simplify]: iters left: 2 (179 enodes) 528.882 * * [simplify]: iters left: 1 (300 enodes) 528.962 * * [simplify]: Extracting #0: cost 1 inf + 0 528.962 * * [simplify]: Extracting #1: cost 0 inf + 1 528.962 * [simplify]: Simplified to 0 528.962 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 0))) 528.963 * * * * [progress]: [ 991 / 2246 ] simplifiying candidate # 528.963 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 528.963 * * [simplify]: iters left: 6 (18 enodes) 528.969 * * [simplify]: iters left: 5 (70 enodes) 528.980 * * [simplify]: iters left: 4 (96 enodes) 528.995 * * [simplify]: iters left: 3 (139 enodes) 529.018 * * [simplify]: iters left: 2 (207 enodes) 529.060 * * [simplify]: iters left: 1 (406 enodes) 529.253 * * [simplify]: Extracting #0: cost 1 inf + 0 529.253 * * [simplify]: Extracting #1: cost 19 inf + 0 529.253 * * [simplify]: Extracting #2: cost 125 inf + 2 529.254 * * [simplify]: Extracting #3: cost 178 inf + 167 529.255 * * [simplify]: Extracting #4: cost 150 inf + 3386 529.261 * * [simplify]: Extracting #5: cost 72 inf + 18954 529.272 * * [simplify]: Extracting #6: cost 6 inf + 37932 529.283 * * [simplify]: Extracting #7: cost 0 inf + 39585 529.295 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 529.295 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))))) 529.295 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1)))) 529.295 * * [simplify]: iters left: 6 (15 enodes) 529.300 * * [simplify]: iters left: 5 (58 enodes) 529.310 * * [simplify]: iters left: 4 (94 enodes) 529.325 * * [simplify]: iters left: 3 (132 enodes) 529.345 * * [simplify]: iters left: 2 (179 enodes) 529.379 * * [simplify]: iters left: 1 (300 enodes) 529.459 * * [simplify]: Extracting #0: cost 1 inf + 0 529.459 * * [simplify]: Extracting #1: cost 0 inf + 1 529.459 * [simplify]: Simplified to 0 529.459 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 0))) 529.460 * * * * [progress]: [ 992 / 2246 ] simplifiying candidate # 529.460 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 529.460 * * [simplify]: iters left: 6 (19 enodes) 529.466 * * [simplify]: iters left: 5 (70 enodes) 529.476 * * [simplify]: iters left: 4 (94 enodes) 529.489 * * [simplify]: iters left: 3 (135 enodes) 529.507 * * [simplify]: iters left: 2 (184 enodes) 529.541 * * [simplify]: iters left: 1 (333 enodes) 529.658 * * [simplify]: Extracting #0: cost 1 inf + 0 529.658 * * [simplify]: Extracting #1: cost 14 inf + 0 529.658 * * [simplify]: Extracting #2: cost 93 inf + 2 529.659 * * [simplify]: Extracting #3: cost 134 inf + 126 529.659 * * [simplify]: Extracting #4: cost 117 inf + 2105 529.661 * * [simplify]: Extracting #5: cost 82 inf + 7232 529.666 * * [simplify]: Extracting #6: cost 25 inf + 21905 529.676 * * [simplify]: Extracting #7: cost 0 inf + 29658 529.684 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 529.684 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))))) 529.684 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1))) 529.684 * * [simplify]: iters left: 6 (14 enodes) 529.688 * * [simplify]: iters left: 5 (51 enodes) 529.696 * * [simplify]: iters left: 4 (77 enodes) 529.707 * * [simplify]: iters left: 3 (112 enodes) 529.726 * * [simplify]: iters left: 2 (165 enodes) 529.751 * * [simplify]: iters left: 1 (238 enodes) 529.797 * * [simplify]: Extracting #0: cost 1 inf + 0 529.797 * * [simplify]: Extracting #1: cost 0 inf + 1 529.797 * [simplify]: Simplified to 0 529.797 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 529.797 * * * * [progress]: [ 993 / 2246 ] simplifiying candidate # 529.798 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 529.798 * * [simplify]: iters left: 6 (20 enodes) 529.803 * * [simplify]: iters left: 5 (80 enodes) 529.816 * * [simplify]: iters left: 4 (152 enodes) 529.845 * * [simplify]: iters left: 3 (318 enodes) 529.940 * * [simplify]: Extracting #0: cost 1 inf + 0 529.940 * * [simplify]: Extracting #1: cost 11 inf + 0 529.940 * * [simplify]: Extracting #2: cost 109 inf + 0 529.941 * * [simplify]: Extracting #3: cost 150 inf + 45 529.941 * * [simplify]: Extracting #4: cost 149 inf + 169 529.942 * * [simplify]: Extracting #5: cost 147 inf + 462 529.943 * * [simplify]: Extracting #6: cost 139 inf + 1324 529.946 * * [simplify]: Extracting #7: cost 86 inf + 20768 529.957 * * [simplify]: Extracting #8: cost 13 inf + 50919 529.972 * * [simplify]: Extracting #9: cost 0 inf + 56603 529.988 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 529.988 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 529.988 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 529.988 * * [simplify]: iters left: 6 (15 enodes) 529.992 * * [simplify]: iters left: 5 (62 enodes) 530.002 * * [simplify]: iters left: 4 (118 enodes) 530.026 * * [simplify]: iters left: 3 (252 enodes) 530.100 * * [simplify]: Extracting #0: cost 1 inf + 0 530.100 * * [simplify]: Extracting #1: cost 0 inf + 1 530.100 * [simplify]: Simplified to 0 530.100 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 530.101 * * * * [progress]: [ 994 / 2246 ] simplifiying candidate # 530.101 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 530.101 * * [simplify]: iters left: 6 (19 enodes) 530.106 * * [simplify]: iters left: 5 (75 enodes) 530.118 * * [simplify]: iters left: 4 (130 enodes) 530.141 * * [simplify]: iters left: 3 (246 enodes) 530.201 * * [simplify]: iters left: 2 (443 enodes) 530.368 * * [simplify]: Extracting #0: cost 1 inf + 0 530.368 * * [simplify]: Extracting #1: cost 35 inf + 0 530.369 * * [simplify]: Extracting #2: cost 112 inf + 44 530.369 * * [simplify]: Extracting #3: cost 137 inf + 333 530.370 * * [simplify]: Extracting #4: cost 130 inf + 1044 530.371 * * [simplify]: Extracting #5: cost 115 inf + 3010 530.375 * * [simplify]: Extracting #6: cost 53 inf + 21861 530.385 * * [simplify]: Extracting #7: cost 0 inf + 39487 530.396 * * [simplify]: Extracting #8: cost 0 inf + 39247 530.407 * [simplify]: Simplified to (* (/ 1 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- 1/2 (/ 1/2 (hypot 1 x)))) 530.407 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ 1 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- 1/2 (/ 1/2 (hypot 1 x)))) (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 530.407 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 530.407 * * [simplify]: iters left: 6 (14 enodes) 530.411 * * [simplify]: iters left: 5 (57 enodes) 530.420 * * [simplify]: iters left: 4 (98 enodes) 530.440 * * [simplify]: iters left: 3 (181 enodes) 530.483 * * [simplify]: iters left: 2 (360 enodes) 530.601 * * [simplify]: Extracting #0: cost 1 inf + 0 530.601 * * [simplify]: Extracting #1: cost 0 inf + 1 530.601 * [simplify]: Simplified to 0 530.601 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (* (/ 1 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- 1/2 (/ 1/2 (hypot 1 x)))) 0))) 530.601 * * * * [progress]: [ 995 / 2246 ] simplifiying candidate # 530.601 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 530.601 * * [simplify]: iters left: 6 (18 enodes) 530.606 * * [simplify]: iters left: 5 (69 enodes) 530.617 * * [simplify]: iters left: 4 (93 enodes) 530.630 * * [simplify]: iters left: 3 (134 enodes) 530.648 * * [simplify]: iters left: 2 (183 enodes) 530.682 * * [simplify]: iters left: 1 (333 enodes) 530.801 * * [simplify]: Extracting #0: cost 1 inf + 0 530.801 * * [simplify]: Extracting #1: cost 14 inf + 0 530.801 * * [simplify]: Extracting #2: cost 93 inf + 2 530.801 * * [simplify]: Extracting #3: cost 134 inf + 126 530.802 * * [simplify]: Extracting #4: cost 110 inf + 3361 530.804 * * [simplify]: Extracting #5: cost 74 inf + 8376 530.810 * * [simplify]: Extracting #6: cost 24 inf + 22492 530.818 * * [simplify]: Extracting #7: cost 0 inf + 29708 530.827 * * [simplify]: Extracting #8: cost 0 inf + 29603 530.835 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 530.835 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))))) 530.835 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1))) 530.835 * * [simplify]: iters left: 6 (13 enodes) 530.839 * * [simplify]: iters left: 5 (50 enodes) 530.847 * * [simplify]: iters left: 4 (76 enodes) 530.858 * * [simplify]: iters left: 3 (111 enodes) 530.874 * * [simplify]: iters left: 2 (147 enodes) 530.899 * * [simplify]: iters left: 1 (234 enodes) 530.946 * * [simplify]: Extracting #0: cost 1 inf + 0 530.946 * * [simplify]: Extracting #1: cost 0 inf + 1 530.946 * [simplify]: Simplified to 0 530.946 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 530.946 * * * * [progress]: [ 996 / 2246 ] simplifiying candidate # 530.946 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 530.946 * * [simplify]: iters left: 6 (17 enodes) 530.953 * * [simplify]: iters left: 5 (69 enodes) 530.963 * * [simplify]: iters left: 4 (95 enodes) 530.978 * * [simplify]: iters left: 3 (138 enodes) 530.999 * * [simplify]: iters left: 2 (206 enodes) 531.043 * * [simplify]: iters left: 1 (405 enodes) 531.235 * * [simplify]: Extracting #0: cost 1 inf + 0 531.235 * * [simplify]: Extracting #1: cost 19 inf + 0 531.236 * * [simplify]: Extracting #2: cost 125 inf + 2 531.236 * * [simplify]: Extracting #3: cost 177 inf + 330 531.237 * * [simplify]: Extracting #4: cost 144 inf + 4528 531.241 * * [simplify]: Extracting #5: cost 74 inf + 19152 531.254 * * [simplify]: Extracting #6: cost 4 inf + 38724 531.266 * * [simplify]: Extracting #7: cost 0 inf + 39585 531.277 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 531.277 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))))) 531.278 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1)))) 531.278 * * [simplify]: iters left: 6 (14 enodes) 531.282 * * [simplify]: iters left: 5 (57 enodes) 531.292 * * [simplify]: iters left: 4 (93 enodes) 531.307 * * [simplify]: iters left: 3 (131 enodes) 531.327 * * [simplify]: iters left: 2 (178 enodes) 531.360 * * [simplify]: iters left: 1 (299 enodes) 531.441 * * [simplify]: Extracting #0: cost 1 inf + 0 531.441 * * [simplify]: Extracting #1: cost 0 inf + 1 531.441 * [simplify]: Simplified to 0 531.441 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 0))) 531.441 * * * * [progress]: [ 997 / 2246 ] simplifiying candidate # 531.441 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 531.441 * * [simplify]: iters left: 6 (17 enodes) 531.448 * * [simplify]: iters left: 5 (69 enodes) 531.458 * * [simplify]: iters left: 4 (95 enodes) 531.473 * * [simplify]: iters left: 3 (138 enodes) 531.494 * * [simplify]: iters left: 2 (206 enodes) 531.539 * * [simplify]: iters left: 1 (405 enodes) 531.732 * * [simplify]: Extracting #0: cost 1 inf + 0 531.732 * * [simplify]: Extracting #1: cost 19 inf + 0 531.732 * * [simplify]: Extracting #2: cost 125 inf + 2 531.733 * * [simplify]: Extracting #3: cost 177 inf + 330 531.734 * * [simplify]: Extracting #4: cost 144 inf + 4528 531.738 * * [simplify]: Extracting #5: cost 74 inf + 19152 531.751 * * [simplify]: Extracting #6: cost 4 inf + 38724 531.763 * * [simplify]: Extracting #7: cost 0 inf + 39585 531.774 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 531.774 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))))) 531.774 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1)))) 531.775 * * [simplify]: iters left: 6 (14 enodes) 531.779 * * [simplify]: iters left: 5 (57 enodes) 531.789 * * [simplify]: iters left: 4 (93 enodes) 531.804 * * [simplify]: iters left: 3 (131 enodes) 531.824 * * [simplify]: iters left: 2 (178 enodes) 531.858 * * [simplify]: iters left: 1 (299 enodes) 531.939 * * [simplify]: Extracting #0: cost 1 inf + 0 531.939 * * [simplify]: Extracting #1: cost 0 inf + 1 531.939 * [simplify]: Simplified to 0 531.939 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 0))) 531.939 * * * * [progress]: [ 998 / 2246 ] simplifiying candidate # 531.940 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 531.940 * * [simplify]: iters left: 6 (18 enodes) 531.945 * * [simplify]: iters left: 5 (69 enodes) 531.955 * * [simplify]: iters left: 4 (93 enodes) 531.969 * * [simplify]: iters left: 3 (134 enodes) 531.987 * * [simplify]: iters left: 2 (183 enodes) 532.021 * * [simplify]: iters left: 1 (333 enodes) 532.139 * * [simplify]: Extracting #0: cost 1 inf + 0 532.139 * * [simplify]: Extracting #1: cost 14 inf + 0 532.140 * * [simplify]: Extracting #2: cost 93 inf + 2 532.140 * * [simplify]: Extracting #3: cost 134 inf + 126 532.141 * * [simplify]: Extracting #4: cost 110 inf + 3361 532.142 * * [simplify]: Extracting #5: cost 74 inf + 8376 532.147 * * [simplify]: Extracting #6: cost 24 inf + 22492 532.157 * * [simplify]: Extracting #7: cost 0 inf + 29708 532.165 * * [simplify]: Extracting #8: cost 0 inf + 29603 532.174 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 532.174 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))))) 532.174 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1))) 532.174 * * [simplify]: iters left: 6 (13 enodes) 532.177 * * [simplify]: iters left: 5 (50 enodes) 532.186 * * [simplify]: iters left: 4 (76 enodes) 532.197 * * [simplify]: iters left: 3 (111 enodes) 532.213 * * [simplify]: iters left: 2 (147 enodes) 532.239 * * [simplify]: iters left: 1 (234 enodes) 532.285 * * [simplify]: Extracting #0: cost 1 inf + 0 532.285 * * [simplify]: Extracting #1: cost 0 inf + 1 532.285 * [simplify]: Simplified to 0 532.285 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 532.285 * * * * [progress]: [ 999 / 2246 ] simplifiying candidate # 532.286 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 532.286 * * [simplify]: iters left: 6 (21 enodes) 532.292 * * [simplify]: iters left: 5 (83 enodes) 532.305 * * [simplify]: iters left: 4 (159 enodes) 532.332 * * [simplify]: iters left: 3 (307 enodes) 532.407 * * [simplify]: Extracting #0: cost 1 inf + 0 532.407 * * [simplify]: Extracting #1: cost 11 inf + 0 532.407 * * [simplify]: Extracting #2: cost 96 inf + 0 532.408 * * [simplify]: Extracting #3: cost 153 inf + 168 532.408 * * [simplify]: Extracting #4: cost 150 inf + 520 532.409 * * [simplify]: Extracting #5: cost 139 inf + 1989 532.411 * * [simplify]: Extracting #6: cost 95 inf + 17113 532.423 * * [simplify]: Extracting #7: cost 10 inf + 51672 532.437 * * [simplify]: Extracting #8: cost 0 inf + 55891 532.451 * * [simplify]: Extracting #9: cost 0 inf + 55889 532.465 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 532.465 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) (fma (- (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 532.465 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 532.465 * * [simplify]: iters left: 6 (16 enodes) 532.469 * * [simplify]: iters left: 5 (65 enodes) 532.480 * * [simplify]: iters left: 4 (125 enodes) 532.504 * * [simplify]: iters left: 3 (242 enodes) 532.561 * * [simplify]: Extracting #0: cost 1 inf + 0 532.561 * * [simplify]: Extracting #1: cost 0 inf + 1 532.561 * [simplify]: Simplified to 0 532.561 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 532.561 * * * * [progress]: [ 1000 / 2246 ] simplifiying candidate # 532.561 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 532.561 * * [simplify]: iters left: 6 (20 enodes) 532.567 * * [simplify]: iters left: 5 (78 enodes) 532.579 * * [simplify]: iters left: 4 (135 enodes) 532.600 * * [simplify]: iters left: 3 (221 enodes) 532.646 * * [simplify]: iters left: 2 (456 enodes) 532.816 * * [simplify]: Extracting #0: cost 1 inf + 0 532.816 * * [simplify]: Extracting #1: cost 11 inf + 0 532.817 * * [simplify]: Extracting #2: cost 78 inf + 0 532.817 * * [simplify]: Extracting #3: cost 118 inf + 4 532.818 * * [simplify]: Extracting #4: cost 112 inf + 674 532.818 * * [simplify]: Extracting #5: cost 98 inf + 2447 532.822 * * [simplify]: Extracting #6: cost 40 inf + 19371 532.831 * * [simplify]: Extracting #7: cost 2 inf + 31513 532.841 * * [simplify]: Extracting #8: cost 0 inf + 32110 532.851 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 532.851 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 532.851 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 532.851 * * [simplify]: iters left: 6 (15 enodes) 532.855 * * [simplify]: iters left: 5 (60 enodes) 532.864 * * [simplify]: iters left: 4 (103 enodes) 532.881 * * [simplify]: iters left: 3 (167 enodes) 532.917 * * [simplify]: iters left: 2 (361 enodes) 533.044 * * [simplify]: Extracting #0: cost 1 inf + 0 533.044 * * [simplify]: Extracting #1: cost 0 inf + 1 533.044 * [simplify]: Simplified to 0 533.044 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 533.044 * * * * [progress]: [ 1001 / 2246 ] simplifiying candidate # 533.044 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 533.044 * * [simplify]: iters left: 6 (19 enodes) 533.050 * * [simplify]: iters left: 5 (72 enodes) 533.062 * * [simplify]: iters left: 4 (118 enodes) 533.078 * * [simplify]: iters left: 3 (184 enodes) 533.102 * * [simplify]: iters left: 2 (259 enodes) 533.144 * * [simplify]: iters left: 1 (397 enodes) 533.242 * * [simplify]: Extracting #0: cost 1 inf + 0 533.242 * * [simplify]: Extracting #1: cost 28 inf + 0 533.243 * * [simplify]: Extracting #2: cost 122 inf + 43 533.243 * * [simplify]: Extracting #3: cost 138 inf + 616 533.244 * * [simplify]: Extracting #4: cost 127 inf + 2144 533.245 * * [simplify]: Extracting #5: cost 94 inf + 7054 533.247 * * [simplify]: Extracting #6: cost 77 inf + 11080 533.253 * * [simplify]: Extracting #7: cost 28 inf + 25662 533.262 * * [simplify]: Extracting #8: cost 0 inf + 34604 533.272 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 533.272 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))))) 533.273 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1))) 533.273 * * [simplify]: iters left: 6 (14 enodes) 533.276 * * [simplify]: iters left: 5 (53 enodes) 533.287 * * [simplify]: iters left: 4 (92 enodes) 533.300 * * [simplify]: iters left: 3 (137 enodes) 533.318 * * [simplify]: iters left: 2 (188 enodes) 533.345 * * [simplify]: iters left: 1 (283 enodes) 533.391 * * [simplify]: Extracting #0: cost 1 inf + 0 533.391 * * [simplify]: Extracting #1: cost 0 inf + 1 533.391 * [simplify]: Simplified to 0 533.391 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 533.391 * * * * [progress]: [ 1002 / 2246 ] simplifiying candidate # 533.391 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 533.392 * * [simplify]: iters left: 6 (18 enodes) 533.397 * * [simplify]: iters left: 5 (72 enodes) 533.410 * * [simplify]: iters left: 4 (105 enodes) 533.426 * * [simplify]: iters left: 3 (172 enodes) 533.453 * * [simplify]: iters left: 2 (273 enodes) 533.509 * * [simplify]: iters left: 1 (474 enodes) 533.692 * * [simplify]: Extracting #0: cost 1 inf + 0 533.692 * * [simplify]: Extracting #1: cost 22 inf + 0 533.692 * * [simplify]: Extracting #2: cost 106 inf + 2 533.693 * * [simplify]: Extracting #3: cost 147 inf + 251 533.694 * * [simplify]: Extracting #4: cost 135 inf + 1927 533.695 * * [simplify]: Extracting #5: cost 100 inf + 6955 533.701 * * [simplify]: Extracting #6: cost 21 inf + 28576 533.712 * * [simplify]: Extracting #7: cost 0 inf + 34945 533.722 * * [simplify]: Extracting #8: cost 0 inf + 34870 533.733 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 533.733 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))))) 533.733 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1)))) 533.733 * * [simplify]: iters left: 6 (15 enodes) 533.742 * * [simplify]: iters left: 5 (60 enodes) 533.751 * * [simplify]: iters left: 4 (93 enodes) 533.765 * * [simplify]: iters left: 3 (149 enodes) 533.787 * * [simplify]: iters left: 2 (229 enodes) 533.827 * * [simplify]: iters left: 1 (341 enodes) 533.902 * * [simplify]: Extracting #0: cost 1 inf + 0 533.902 * * [simplify]: Extracting #1: cost 0 inf + 1 533.902 * [simplify]: Simplified to 0 533.902 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 0))) 533.902 * * * * [progress]: [ 1003 / 2246 ] simplifiying candidate # 533.902 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 533.903 * * [simplify]: iters left: 6 (18 enodes) 533.908 * * [simplify]: iters left: 5 (72 enodes) 533.919 * * [simplify]: iters left: 4 (105 enodes) 533.937 * * [simplify]: iters left: 3 (172 enodes) 533.964 * * [simplify]: iters left: 2 (273 enodes) 534.021 * * [simplify]: iters left: 1 (474 enodes) 534.203 * * [simplify]: Extracting #0: cost 1 inf + 0 534.203 * * [simplify]: Extracting #1: cost 22 inf + 0 534.203 * * [simplify]: Extracting #2: cost 106 inf + 2 534.204 * * [simplify]: Extracting #3: cost 147 inf + 251 534.205 * * [simplify]: Extracting #4: cost 135 inf + 1927 534.206 * * [simplify]: Extracting #5: cost 100 inf + 6955 534.212 * * [simplify]: Extracting #6: cost 21 inf + 28576 534.223 * * [simplify]: Extracting #7: cost 0 inf + 34945 534.233 * * [simplify]: Extracting #8: cost 0 inf + 34870 534.244 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 534.244 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))))) 534.244 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1)))) 534.244 * * [simplify]: iters left: 6 (15 enodes) 534.250 * * [simplify]: iters left: 5 (60 enodes) 534.262 * * [simplify]: iters left: 4 (93 enodes) 534.276 * * [simplify]: iters left: 3 (149 enodes) 534.297 * * [simplify]: iters left: 2 (229 enodes) 534.338 * * [simplify]: iters left: 1 (341 enodes) 534.412 * * [simplify]: Extracting #0: cost 1 inf + 0 534.412 * * [simplify]: Extracting #1: cost 0 inf + 1 534.412 * [simplify]: Simplified to 0 534.412 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 0))) 534.412 * * * * [progress]: [ 1004 / 2246 ] simplifiying candidate # 534.413 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 534.413 * * [simplify]: iters left: 6 (19 enodes) 534.418 * * [simplify]: iters left: 5 (72 enodes) 534.430 * * [simplify]: iters left: 4 (118 enodes) 534.448 * * [simplify]: iters left: 3 (184 enodes) 534.472 * * [simplify]: iters left: 2 (259 enodes) 534.514 * * [simplify]: iters left: 1 (397 enodes) 534.612 * * [simplify]: Extracting #0: cost 1 inf + 0 534.612 * * [simplify]: Extracting #1: cost 28 inf + 0 534.613 * * [simplify]: Extracting #2: cost 122 inf + 43 534.613 * * [simplify]: Extracting #3: cost 138 inf + 616 534.614 * * [simplify]: Extracting #4: cost 127 inf + 2144 534.615 * * [simplify]: Extracting #5: cost 94 inf + 7054 534.617 * * [simplify]: Extracting #6: cost 77 inf + 11080 534.622 * * [simplify]: Extracting #7: cost 28 inf + 25662 534.632 * * [simplify]: Extracting #8: cost 0 inf + 34604 534.642 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 534.642 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))))) 534.643 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1))) 534.643 * * [simplify]: iters left: 6 (14 enodes) 534.646 * * [simplify]: iters left: 5 (53 enodes) 534.655 * * [simplify]: iters left: 4 (92 enodes) 534.667 * * [simplify]: iters left: 3 (137 enodes) 534.688 * * [simplify]: iters left: 2 (188 enodes) 534.714 * * [simplify]: iters left: 1 (283 enodes) 534.760 * * [simplify]: Extracting #0: cost 1 inf + 0 534.760 * * [simplify]: Extracting #1: cost 0 inf + 1 534.760 * [simplify]: Simplified to 0 534.760 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 534.761 * * * * [progress]: [ 1005 / 2246 ] simplifiying candidate # 534.761 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))) 534.761 * * [simplify]: iters left: 6 (17 enodes) 534.766 * * [simplify]: iters left: 5 (66 enodes) 534.777 * * [simplify]: iters left: 4 (95 enodes) 534.791 * * [simplify]: iters left: 3 (135 enodes) 534.811 * * [simplify]: iters left: 2 (181 enodes) 534.845 * * [simplify]: iters left: 1 (339 enodes) 534.965 * * [simplify]: Extracting #0: cost 1 inf + 0 534.965 * * [simplify]: Extracting #1: cost 14 inf + 0 534.966 * * [simplify]: Extracting #2: cost 93 inf + 2 534.966 * * [simplify]: Extracting #3: cost 134 inf + 127 534.967 * * [simplify]: Extracting #4: cost 120 inf + 1756 534.968 * * [simplify]: Extracting #5: cost 79 inf + 7605 534.974 * * [simplify]: Extracting #6: cost 15 inf + 24922 534.982 * * [simplify]: Extracting #7: cost 0 inf + 29658 534.990 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 534.990 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1 (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))))) 534.991 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1 (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1)) 534.991 * * [simplify]: iters left: 6 (12 enodes) 534.994 * * [simplify]: iters left: 5 (47 enodes) 535.002 * * [simplify]: iters left: 4 (79 enodes) 535.013 * * [simplify]: iters left: 3 (107 enodes) 535.034 * * [simplify]: iters left: 2 (167 enodes) 535.059 * * [simplify]: iters left: 1 (239 enodes) 535.104 * * [simplify]: Extracting #0: cost 1 inf + 0 535.104 * * [simplify]: Extracting #1: cost 0 inf + 1 535.105 * [simplify]: Simplified to 0 535.105 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 535.105 * * * * [progress]: [ 1006 / 2246 ] simplifiying candidate # 535.105 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))) 535.105 * * [simplify]: iters left: 6 (17 enodes) 535.110 * * [simplify]: iters left: 5 (67 enodes) 535.120 * * [simplify]: iters left: 4 (108 enodes) 535.137 * * [simplify]: iters left: 3 (168 enodes) 535.168 * * [simplify]: iters left: 2 (291 enodes) 535.242 * * [simplify]: Extracting #0: cost 1 inf + 0 535.242 * * [simplify]: Extracting #1: cost 22 inf + 0 535.242 * * [simplify]: Extracting #2: cost 86 inf + 4 535.243 * * [simplify]: Extracting #3: cost 114 inf + 415 535.243 * * [simplify]: Extracting #4: cost 99 inf + 2431 535.247 * * [simplify]: Extracting #5: cost 30 inf + 19448 535.254 * * [simplify]: Extracting #6: cost 0 inf + 27280 535.261 * [simplify]: Simplified to (* (/ 1 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- 1/2 (/ 1/2 (hypot 1 x)))) 535.261 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ 1 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- 1/2 (/ 1/2 (hypot 1 x)))) (fma (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (hypot 1 x)) (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))))) 535.261 * [simplify]: Simplifying (fma (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (hypot 1 x)) (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x)))) 535.261 * * [simplify]: iters left: 6 (12 enodes) 535.264 * * [simplify]: iters left: 5 (50 enodes) 535.274 * * [simplify]: iters left: 4 (76 enodes) 535.287 * * [simplify]: iters left: 3 (143 enodes) 535.313 * * [simplify]: iters left: 2 (233 enodes) 535.357 * * [simplify]: iters left: 1 (369 enodes) 535.440 * * [simplify]: Extracting #0: cost 1 inf + 0 535.440 * * [simplify]: Extracting #1: cost 0 inf + 1 535.440 * [simplify]: Simplified to 0 535.440 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (* (/ 1 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- 1/2 (/ 1/2 (hypot 1 x)))) 0))) 535.440 * * * * [progress]: [ 1007 / 2246 ] simplifiying candidate # 535.440 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 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))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))) 535.440 * * [simplify]: iters left: 6 (25 enodes) 535.450 * * [simplify]: iters left: 5 (103 enodes) 535.470 * * [simplify]: iters left: 4 (247 enodes) 535.531 * * [simplify]: Extracting #0: cost 1 inf + 0 535.531 * * [simplify]: Extracting #1: cost 11 inf + 0 535.531 * * [simplify]: Extracting #2: cost 102 inf + 0 535.532 * * [simplify]: Extracting #3: cost 172 inf + 46 535.532 * * [simplify]: Extracting #4: cost 175 inf + 341 535.534 * * [simplify]: Extracting #5: cost 143 inf + 7494 535.540 * * [simplify]: Extracting #6: cost 53 inf + 33214 535.551 * * [simplify]: Extracting #7: cost 1 inf + 50567 535.561 * * [simplify]: Extracting #8: cost 0 inf + 50849 535.572 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (fma (- (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 535.572 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (fma (- (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (fma (- (+ (* 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 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (* (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))))) 535.572 * [simplify]: Simplifying (fma (- (+ (* 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 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (* (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))))) 535.573 * * [simplify]: iters left: 6 (20 enodes) 535.578 * * [simplify]: iters left: 5 (87 enodes) 535.597 * * [simplify]: iters left: 4 (224 enodes) 535.660 * * [simplify]: Extracting #0: cost 1 inf + 0 535.660 * * [simplify]: Extracting #1: cost 14 inf + 0 535.661 * * [simplify]: Extracting #2: cost 116 inf + 0 535.661 * * [simplify]: Extracting #3: cost 173 inf + 989 535.664 * * [simplify]: Extracting #4: cost 109 inf + 16215 535.672 * * [simplify]: Extracting #5: cost 31 inf + 40092 535.683 * * [simplify]: Extracting #6: cost 1 inf + 50253 535.694 * * [simplify]: Extracting #7: cost 0 inf + 50642 535.706 * [simplify]: Simplified to (- (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 535.706 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 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))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))) (- (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))))) 535.706 * * * * [progress]: [ 1008 / 2246 ] simplifiying candidate # 535.706 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 535.706 * * [simplify]: iters left: 6 (20 enodes) 535.712 * * [simplify]: iters left: 5 (76 enodes) 535.726 * * [simplify]: iters left: 4 (139 enodes) 535.750 * * [simplify]: iters left: 3 (286 enodes) 535.812 * * [simplify]: Extracting #0: cost 1 inf + 0 535.812 * * [simplify]: Extracting #1: cost 17 inf + 0 535.812 * * [simplify]: Extracting #2: cost 108 inf + 0 535.813 * * [simplify]: Extracting #3: cost 152 inf + 86 535.813 * * [simplify]: Extracting #4: cost 168 inf + 559 535.814 * * [simplify]: Extracting #5: cost 129 inf + 6084 535.820 * * [simplify]: Extracting #6: cost 32 inf + 30333 535.829 * * [simplify]: Extracting #7: cost 1 inf + 39799 535.838 * * [simplify]: Extracting #8: cost 0 inf + 40233 535.847 * [simplify]: Simplified to (fma (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1) (/ (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 535.847 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1) (/ (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 535.848 * [simplify]: Simplifying (fma (- (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 535.848 * * [simplify]: iters left: 6 (15 enodes) 535.852 * * [simplify]: iters left: 5 (56 enodes) 535.863 * * [simplify]: iters left: 4 (109 enodes) 535.884 * * [simplify]: iters left: 3 (271 enodes) 535.947 * * [simplify]: Extracting #0: cost 1 inf + 0 535.947 * * [simplify]: Extracting #1: cost 0 inf + 1 535.947 * [simplify]: Simplified to 0 535.947 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 535.947 * * * * [progress]: [ 1009 / 2246 ] simplifiying candidate # 535.948 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 535.948 * * [simplify]: iters left: 6 (19 enodes) 535.953 * * [simplify]: iters left: 5 (73 enodes) 535.964 * * [simplify]: iters left: 4 (102 enodes) 535.979 * * [simplify]: iters left: 3 (141 enodes) 536.003 * * [simplify]: iters left: 2 (202 enodes) 536.036 * * [simplify]: iters left: 1 (337 enodes) 536.099 * * [simplify]: Extracting #0: cost 1 inf + 0 536.099 * * [simplify]: Extracting #1: cost 13 inf + 0 536.099 * * [simplify]: Extracting #2: cost 77 inf + 0 536.099 * * [simplify]: Extracting #3: cost 127 inf + 4 536.100 * * [simplify]: Extracting #4: cost 120 inf + 798 536.101 * * [simplify]: Extracting #5: cost 105 inf + 2964 536.103 * * [simplify]: Extracting #6: cost 72 inf + 11551 536.107 * * [simplify]: Extracting #7: cost 54 inf + 18510 536.115 * * [simplify]: Extracting #8: cost 17 inf + 43839 536.125 * * [simplify]: Extracting #9: cost 0 inf + 58814 536.398 * * [simplify]: Extracting #10: cost 0 inf + 58774 536.408 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 536.408 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 536.408 * [simplify]: Simplifying (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 536.408 * * [simplify]: iters left: 6 (14 enodes) 536.412 * * [simplify]: iters left: 5 (53 enodes) 536.420 * * [simplify]: iters left: 4 (76 enodes) 536.433 * * [simplify]: iters left: 3 (134 enodes) 536.455 * * [simplify]: iters left: 2 (194 enodes) 536.487 * * [simplify]: iters left: 1 (293 enodes) 536.534 * * [simplify]: Extracting #0: cost 1 inf + 0 536.534 * * [simplify]: Extracting #1: cost 0 inf + 1 536.534 * [simplify]: Simplified to 0 536.534 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 536.534 * * * * [progress]: [ 1010 / 2246 ] simplifiying candidate # 536.534 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 536.534 * * [simplify]: iters left: 6 (18 enodes) 536.539 * * [simplify]: iters left: 5 (64 enodes) 536.548 * * [simplify]: iters left: 4 (84 enodes) 536.559 * * [simplify]: iters left: 3 (104 enodes) 536.572 * * [simplify]: iters left: 2 (130 enodes) 536.590 * * [simplify]: iters left: 1 (190 enodes) 536.622 * * [simplify]: Extracting #0: cost 1 inf + 0 536.622 * * [simplify]: Extracting #1: cost 11 inf + 0 536.622 * * [simplify]: Extracting #2: cost 44 inf + 0 536.622 * * [simplify]: Extracting #3: cost 66 inf + 44 536.622 * * [simplify]: Extracting #4: cost 54 inf + 1507 536.623 * * [simplify]: Extracting #5: cost 39 inf + 4114 536.625 * * [simplify]: Extracting #6: cost 18 inf + 9884 536.628 * * [simplify]: Extracting #7: cost 2 inf + 15009 536.632 * * [simplify]: Extracting #8: cost 0 inf + 15595 536.636 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 536.636 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 536.636 * [simplify]: Simplifying (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 536.636 * * [simplify]: iters left: 6 (13 enodes) 536.639 * * [simplify]: iters left: 5 (45 enodes) 536.646 * * [simplify]: iters left: 4 (60 enodes) 536.654 * * [simplify]: iters left: 3 (85 enodes) 536.668 * * [simplify]: iters left: 2 (102 enodes) 536.681 * * [simplify]: iters left: 1 (126 enodes) 536.696 * * [simplify]: Extracting #0: cost 1 inf + 0 536.696 * * [simplify]: Extracting #1: cost 0 inf + 1 536.697 * [simplify]: Simplified to 0 536.697 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 536.697 * * * * [progress]: [ 1011 / 2246 ] simplifiying candidate # 536.697 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))) 536.697 * * [simplify]: iters left: 6 (22 enodes) 536.703 * * [simplify]: iters left: 5 (87 enodes) 536.716 * * [simplify]: iters left: 4 (168 enodes) 536.750 * * [simplify]: iters left: 3 (322 enodes) 536.814 * * [simplify]: Extracting #0: cost 1 inf + 0 536.814 * * [simplify]: Extracting #1: cost 11 inf + 0 536.814 * * [simplify]: Extracting #2: cost 69 inf + 0 536.815 * * [simplify]: Extracting #3: cost 106 inf + 3 536.815 * * [simplify]: Extracting #4: cost 108 inf + 127 536.816 * * [simplify]: Extracting #5: cost 105 inf + 227 536.816 * * [simplify]: Extracting #6: cost 98 inf + 1072 536.818 * * [simplify]: Extracting #7: cost 61 inf + 13389 536.827 * * [simplify]: Extracting #8: cost 3 inf + 39568 536.837 * * [simplify]: Extracting #9: cost 0 inf + 40942 536.847 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 536.847 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))))) 536.848 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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)))))))) 536.848 * * [simplify]: iters left: 6 (17 enodes) 536.852 * * [simplify]: iters left: 5 (69 enodes) 536.863 * * [simplify]: iters left: 4 (135 enodes) 536.893 * * [simplify]: iters left: 3 (301 enodes) 536.955 * * [simplify]: Extracting #0: cost 1 inf + 0 536.955 * * [simplify]: Extracting #1: cost 0 inf + 1 536.955 * [simplify]: Simplified to 0 536.955 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 536.955 * * * * [progress]: [ 1012 / 2246 ] simplifiying candidate # 536.955 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 536.956 * * [simplify]: iters left: 6 (21 enodes) 536.961 * * [simplify]: iters left: 5 (81 enodes) 536.973 * * [simplify]: iters left: 4 (131 enodes) 536.994 * * [simplify]: iters left: 3 (203 enodes) 537.025 * * [simplify]: iters left: 2 (279 enodes) 537.076 * * [simplify]: iters left: 1 (410 enodes) 537.176 * * [simplify]: Extracting #0: cost 1 inf + 0 537.176 * * [simplify]: Extracting #1: cost 11 inf + 0 537.177 * * [simplify]: Extracting #2: cost 82 inf + 0 537.177 * * [simplify]: Extracting #3: cost 156 inf + 3 537.178 * * [simplify]: Extracting #4: cost 152 inf + 244 537.178 * * [simplify]: Extracting #5: cost 144 inf + 1075 537.182 * * [simplify]: Extracting #6: cost 77 inf + 24736 537.193 * * [simplify]: Extracting #7: cost 6 inf + 56266 537.205 * * [simplify]: Extracting #8: cost 0 inf + 58966 537.217 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 537.217 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 537.217 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 537.217 * * [simplify]: iters left: 6 (16 enodes) 537.221 * * [simplify]: iters left: 5 (63 enodes) 537.230 * * [simplify]: iters left: 4 (100 enodes) 537.248 * * [simplify]: iters left: 3 (175 enodes) 537.279 * * [simplify]: iters left: 2 (267 enodes) 537.323 * * [simplify]: iters left: 1 (373 enodes) 537.388 * * [simplify]: Extracting #0: cost 1 inf + 0 537.388 * * [simplify]: Extracting #1: cost 0 inf + 1 537.388 * [simplify]: Simplified to 0 537.388 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 537.388 * * * * [progress]: [ 1013 / 2246 ] simplifiying candidate # 537.388 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 537.389 * * [simplify]: iters left: 6 (20 enodes) 537.394 * * [simplify]: iters left: 5 (76 enodes) 537.406 * * [simplify]: iters left: 4 (133 enodes) 537.430 * * [simplify]: iters left: 3 (224 enodes) 537.481 * * [simplify]: iters left: 2 (389 enodes) 537.580 * * [simplify]: Extracting #0: cost 1 inf + 0 537.580 * * [simplify]: Extracting #1: cost 13 inf + 0 537.580 * * [simplify]: Extracting #2: cost 62 inf + 0 537.581 * * [simplify]: Extracting #3: cost 112 inf + 3 537.581 * * [simplify]: Extracting #4: cost 109 inf + 244 537.582 * * [simplify]: Extracting #5: cost 102 inf + 978 537.584 * * [simplify]: Extracting #6: cost 64 inf + 12670 537.589 * * [simplify]: Extracting #7: cost 12 inf + 34394 537.598 * * [simplify]: Extracting #8: cost 0 inf + 39716 537.606 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 537.606 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))))) 537.606 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1))) 537.606 * * [simplify]: iters left: 6 (15 enodes) 537.610 * * [simplify]: iters left: 5 (58 enodes) 537.619 * * [simplify]: iters left: 4 (100 enodes) 537.638 * * [simplify]: iters left: 3 (192 enodes) 537.681 * * [simplify]: iters left: 2 (333 enodes) 537.759 * * [simplify]: Extracting #0: cost 1 inf + 0 537.760 * * [simplify]: Extracting #1: cost 0 inf + 1 537.760 * [simplify]: Simplified to 0 537.760 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 537.760 * * * * [progress]: [ 1014 / 2246 ] simplifiying candidate # 537.760 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 537.760 * * [simplify]: iters left: 6 (19 enodes) 537.765 * * [simplify]: iters left: 5 (74 enodes) 537.778 * * [simplify]: iters left: 4 (114 enodes) 537.796 * * [simplify]: iters left: 3 (198 enodes) 537.833 * * [simplify]: iters left: 2 (296 enodes) 537.897 * * [simplify]: iters left: 1 (404 enodes) 537.985 * * [simplify]: Extracting #0: cost 1 inf + 0 537.985 * * [simplify]: Extracting #1: cost 11 inf + 0 537.985 * * [simplify]: Extracting #2: cost 53 inf + 0 537.986 * * [simplify]: Extracting #3: cost 106 inf + 3 537.986 * * [simplify]: Extracting #4: cost 105 inf + 146 537.987 * * [simplify]: Extracting #5: cost 97 inf + 994 537.989 * * [simplify]: Extracting #6: cost 46 inf + 17896 537.995 * * [simplify]: Extracting #7: cost 5 inf + 35874 538.003 * * [simplify]: Extracting #8: cost 0 inf + 37564 538.010 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 538.010 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))))) 538.010 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)))) 538.011 * * [simplify]: iters left: 6 (16 enodes) 538.017 * * [simplify]: iters left: 5 (63 enodes) 538.026 * * [simplify]: iters left: 4 (94 enodes) 538.042 * * [simplify]: iters left: 3 (179 enodes) 538.079 * * [simplify]: iters left: 2 (303 enodes) 538.143 * * [simplify]: iters left: 1 (423 enodes) 538.243 * * [simplify]: Extracting #0: cost 1 inf + 0 538.243 * * [simplify]: Extracting #1: cost 0 inf + 1 538.243 * [simplify]: Simplified to 0 538.243 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 538.243 * * * * [progress]: [ 1015 / 2246 ] simplifiying candidate # 538.244 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 538.244 * * [simplify]: iters left: 6 (19 enodes) 538.249 * * [simplify]: iters left: 5 (74 enodes) 538.260 * * [simplify]: iters left: 4 (114 enodes) 538.278 * * [simplify]: iters left: 3 (198 enodes) 538.316 * * [simplify]: iters left: 2 (296 enodes) 538.380 * * [simplify]: iters left: 1 (404 enodes) 538.468 * * [simplify]: Extracting #0: cost 1 inf + 0 538.468 * * [simplify]: Extracting #1: cost 11 inf + 0 538.468 * * [simplify]: Extracting #2: cost 53 inf + 0 538.468 * * [simplify]: Extracting #3: cost 106 inf + 3 538.469 * * [simplify]: Extracting #4: cost 105 inf + 146 538.469 * * [simplify]: Extracting #5: cost 97 inf + 994 538.471 * * [simplify]: Extracting #6: cost 46 inf + 17896 538.479 * * [simplify]: Extracting #7: cost 5 inf + 35874 538.487 * * [simplify]: Extracting #8: cost 0 inf + 37564 538.494 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 538.494 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))))) 538.494 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)))) 538.495 * * [simplify]: iters left: 6 (16 enodes) 538.499 * * [simplify]: iters left: 5 (63 enodes) 538.509 * * [simplify]: iters left: 4 (94 enodes) 538.524 * * [simplify]: iters left: 3 (179 enodes) 538.562 * * [simplify]: iters left: 2 (303 enodes) 538.626 * * [simplify]: iters left: 1 (423 enodes) 538.726 * * [simplify]: Extracting #0: cost 1 inf + 0 538.727 * * [simplify]: Extracting #1: cost 0 inf + 1 538.727 * [simplify]: Simplified to 0 538.727 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 538.727 * * * * [progress]: [ 1016 / 2246 ] simplifiying candidate # 538.727 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 538.727 * * [simplify]: iters left: 6 (20 enodes) 538.733 * * [simplify]: iters left: 5 (76 enodes) 538.744 * * [simplify]: iters left: 4 (133 enodes) 538.766 * * [simplify]: iters left: 3 (224 enodes) 538.817 * * [simplify]: iters left: 2 (389 enodes) 538.918 * * [simplify]: Extracting #0: cost 1 inf + 0 538.918 * * [simplify]: Extracting #1: cost 13 inf + 0 538.918 * * [simplify]: Extracting #2: cost 62 inf + 0 538.919 * * [simplify]: Extracting #3: cost 112 inf + 3 538.919 * * [simplify]: Extracting #4: cost 109 inf + 244 538.920 * * [simplify]: Extracting #5: cost 102 inf + 978 538.921 * * [simplify]: Extracting #6: cost 64 inf + 12670 538.927 * * [simplify]: Extracting #7: cost 12 inf + 34394 538.935 * * [simplify]: Extracting #8: cost 0 inf + 39716 538.942 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 538.942 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))))) 538.943 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1))) 538.943 * * [simplify]: iters left: 6 (15 enodes) 538.946 * * [simplify]: iters left: 5 (58 enodes) 538.958 * * [simplify]: iters left: 4 (100 enodes) 538.976 * * [simplify]: iters left: 3 (192 enodes) 539.019 * * [simplify]: iters left: 2 (333 enodes) 539.096 * * [simplify]: Extracting #0: cost 1 inf + 0 539.096 * * [simplify]: Extracting #1: cost 0 inf + 1 539.097 * [simplify]: Simplified to 0 539.097 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 539.097 * * * * [progress]: [ 1017 / 2246 ] simplifiying candidate # 539.097 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 539.097 * * [simplify]: iters left: 6 (21 enodes) 539.103 * * [simplify]: iters left: 5 (80 enodes) 539.114 * * [simplify]: iters left: 4 (129 enodes) 539.135 * * [simplify]: iters left: 3 (184 enodes) 539.160 * * [simplify]: iters left: 2 (244 enodes) 539.196 * * [simplify]: iters left: 1 (308 enodes) 539.237 * * [simplify]: Extracting #0: cost 1 inf + 0 539.237 * * [simplify]: Extracting #1: cost 11 inf + 0 539.237 * * [simplify]: Extracting #2: cost 50 inf + 0 539.237 * * [simplify]: Extracting #3: cost 79 inf + 3 539.238 * * [simplify]: Extracting #4: cost 81 inf + 127 539.238 * * [simplify]: Extracting #5: cost 73 inf + 780 539.240 * * [simplify]: Extracting #6: cost 39 inf + 10926 539.245 * * [simplify]: Extracting #7: cost 4 inf + 23114 539.250 * * [simplify]: Extracting #8: cost 0 inf + 24585 539.256 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 539.256 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 539.257 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 539.257 * * [simplify]: iters left: 6 (16 enodes) 539.261 * * [simplify]: iters left: 5 (62 enodes) 539.271 * * [simplify]: iters left: 4 (99 enodes) 539.286 * * [simplify]: iters left: 3 (150 enodes) 539.308 * * [simplify]: iters left: 2 (222 enodes) 539.343 * * [simplify]: iters left: 1 (302 enodes) 539.386 * * [simplify]: Extracting #0: cost 1 inf + 0 539.386 * * [simplify]: Extracting #1: cost 0 inf + 1 539.386 * [simplify]: Simplified to 0 539.386 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 539.386 * * * * [progress]: [ 1018 / 2246 ] simplifiying candidate # 539.387 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 539.387 * * [simplify]: iters left: 6 (19 enodes) 539.394 * * [simplify]: iters left: 5 (71 enodes) 539.403 * * [simplify]: iters left: 4 (100 enodes) 539.417 * * [simplify]: iters left: 3 (132 enodes) 539.434 * * [simplify]: iters left: 2 (168 enodes) 539.456 * * [simplify]: iters left: 1 (203 enodes) 539.483 * * [simplify]: Extracting #0: cost 1 inf + 0 539.483 * * [simplify]: Extracting #1: cost 9 inf + 0 539.483 * * [simplify]: Extracting #2: cost 43 inf + 0 539.484 * * [simplify]: Extracting #3: cost 63 inf + 44 539.484 * * [simplify]: Extracting #4: cost 64 inf + 249 539.484 * * [simplify]: Extracting #5: cost 56 inf + 1233 539.485 * * [simplify]: Extracting #6: cost 33 inf + 6727 539.488 * * [simplify]: Extracting #7: cost 7 inf + 14558 539.492 * * [simplify]: Extracting #8: cost 0 inf + 16881 539.496 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 539.496 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 539.496 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 539.496 * * [simplify]: iters left: 6 (14 enodes) 539.500 * * [simplify]: iters left: 5 (54 enodes) 539.507 * * [simplify]: iters left: 4 (77 enodes) 539.519 * * [simplify]: iters left: 3 (106 enodes) 539.535 * * [simplify]: iters left: 2 (137 enodes) 539.552 * * [simplify]: iters left: 1 (167 enodes) 539.573 * * [simplify]: Extracting #0: cost 1 inf + 0 539.573 * * [simplify]: Extracting #1: cost 0 inf + 1 539.573 * [simplify]: Simplified to 0 539.573 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 539.573 * * * * [progress]: [ 1019 / 2246 ] simplifiying candidate # 539.574 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 539.574 * * [simplify]: iters left: 6 (19 enodes) 539.579 * * [simplify]: iters left: 5 (71 enodes) 539.589 * * [simplify]: iters left: 4 (104 enodes) 539.606 * * [simplify]: iters left: 3 (156 enodes) 539.627 * * [simplify]: iters left: 2 (203 enodes) 539.661 * * [simplify]: iters left: 1 (267 enodes) 539.698 * * [simplify]: Extracting #0: cost 1 inf + 0 539.698 * * [simplify]: Extracting #1: cost 11 inf + 0 539.698 * * [simplify]: Extracting #2: cost 41 inf + 0 539.698 * * [simplify]: Extracting #3: cost 55 inf + 167 539.699 * * [simplify]: Extracting #4: cost 51 inf + 877 539.699 * * [simplify]: Extracting #5: cost 42 inf + 2377 539.701 * * [simplify]: Extracting #6: cost 11 inf + 10687 539.705 * * [simplify]: Extracting #7: cost 1 inf + 13539 539.709 * * [simplify]: Extracting #8: cost 0 inf + 13877 539.713 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 539.713 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))))) 539.713 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1))) 539.713 * * [simplify]: iters left: 6 (14 enodes) 539.716 * * [simplify]: iters left: 5 (53 enodes) 539.726 * * [simplify]: iters left: 4 (78 enodes) 539.738 * * [simplify]: iters left: 3 (126 enodes) 539.757 * * [simplify]: iters left: 2 (171 enodes) 539.784 * * [simplify]: iters left: 1 (225 enodes) 539.814 * * [simplify]: Extracting #0: cost 1 inf + 0 539.814 * * [simplify]: Extracting #1: cost 0 inf + 1 539.814 * [simplify]: Simplified to 0 539.814 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 539.814 * * * * [progress]: [ 1020 / 2246 ] simplifiying candidate # 539.814 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 539.814 * * [simplify]: iters left: 6 (18 enodes) 539.819 * * [simplify]: iters left: 5 (69 enodes) 539.830 * * [simplify]: iters left: 4 (99 enodes) 539.844 * * [simplify]: iters left: 3 (138 enodes) 539.864 * * [simplify]: iters left: 2 (180 enodes) 539.889 * * [simplify]: iters left: 1 (217 enodes) 539.922 * * [simplify]: Extracting #0: cost 1 inf + 0 539.922 * * [simplify]: Extracting #1: cost 11 inf + 0 539.922 * * [simplify]: Extracting #2: cost 44 inf + 0 539.923 * * [simplify]: Extracting #3: cost 58 inf + 44 539.923 * * [simplify]: Extracting #4: cost 55 inf + 485 539.923 * * [simplify]: Extracting #5: cost 47 inf + 1566 539.925 * * [simplify]: Extracting #6: cost 13 inf + 10259 539.929 * * [simplify]: Extracting #7: cost 0 inf + 14013 539.932 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 539.932 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))))) 539.932 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)))) 539.932 * * [simplify]: iters left: 6 (15 enodes) 539.936 * * [simplify]: iters left: 5 (58 enodes) 539.944 * * [simplify]: iters left: 4 (84 enodes) 539.957 * * [simplify]: iters left: 3 (133 enodes) 539.976 * * [simplify]: iters left: 2 (175 enodes) 539.999 * * [simplify]: iters left: 1 (209 enodes) 540.027 * * [simplify]: Extracting #0: cost 1 inf + 0 540.027 * * [simplify]: Extracting #1: cost 0 inf + 1 540.027 * [simplify]: Simplified to 0 540.027 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 0))) 540.027 * * * * [progress]: [ 1021 / 2246 ] simplifiying candidate # 540.027 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 540.027 * * [simplify]: iters left: 6 (18 enodes) 540.032 * * [simplify]: iters left: 5 (69 enodes) 540.042 * * [simplify]: iters left: 4 (99 enodes) 540.059 * * [simplify]: iters left: 3 (138 enodes) 540.077 * * [simplify]: iters left: 2 (180 enodes) 540.102 * * [simplify]: iters left: 1 (217 enodes) 540.135 * * [simplify]: Extracting #0: cost 1 inf + 0 540.136 * * [simplify]: Extracting #1: cost 11 inf + 0 540.136 * * [simplify]: Extracting #2: cost 44 inf + 0 540.136 * * [simplify]: Extracting #3: cost 58 inf + 44 540.136 * * [simplify]: Extracting #4: cost 55 inf + 485 540.136 * * [simplify]: Extracting #5: cost 47 inf + 1566 540.139 * * [simplify]: Extracting #6: cost 13 inf + 10259 540.142 * * [simplify]: Extracting #7: cost 0 inf + 14013 540.145 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 540.145 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))))) 540.146 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)))) 540.146 * * [simplify]: iters left: 6 (15 enodes) 540.149 * * [simplify]: iters left: 5 (58 enodes) 540.158 * * [simplify]: iters left: 4 (84 enodes) 540.171 * * [simplify]: iters left: 3 (133 enodes) 540.191 * * [simplify]: iters left: 2 (175 enodes) 540.213 * * [simplify]: iters left: 1 (209 enodes) 540.240 * * [simplify]: Extracting #0: cost 1 inf + 0 540.240 * * [simplify]: Extracting #1: cost 0 inf + 1 540.240 * [simplify]: Simplified to 0 540.240 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 0))) 540.240 * * * * [progress]: [ 1022 / 2246 ] simplifiying candidate # 540.241 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 540.241 * * [simplify]: iters left: 6 (19 enodes) 540.247 * * [simplify]: iters left: 5 (71 enodes) 540.258 * * [simplify]: iters left: 4 (104 enodes) 540.273 * * [simplify]: iters left: 3 (156 enodes) 540.294 * * [simplify]: iters left: 2 (203 enodes) 540.329 * * [simplify]: iters left: 1 (267 enodes) 540.366 * * [simplify]: Extracting #0: cost 1 inf + 0 540.366 * * [simplify]: Extracting #1: cost 11 inf + 0 540.366 * * [simplify]: Extracting #2: cost 41 inf + 0 540.366 * * [simplify]: Extracting #3: cost 55 inf + 167 540.367 * * [simplify]: Extracting #4: cost 51 inf + 877 540.367 * * [simplify]: Extracting #5: cost 42 inf + 2377 540.370 * * [simplify]: Extracting #6: cost 11 inf + 10687 540.373 * * [simplify]: Extracting #7: cost 1 inf + 13539 540.378 * * [simplify]: Extracting #8: cost 0 inf + 13877 540.382 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 540.382 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))))) 540.383 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1))) 540.383 * * [simplify]: iters left: 6 (14 enodes) 540.386 * * [simplify]: iters left: 5 (53 enodes) 540.394 * * [simplify]: iters left: 4 (78 enodes) 540.406 * * [simplify]: iters left: 3 (126 enodes) 540.424 * * [simplify]: iters left: 2 (171 enodes) 540.453 * * [simplify]: iters left: 1 (225 enodes) 540.481 * * [simplify]: Extracting #0: cost 1 inf + 0 540.481 * * [simplify]: Extracting #1: cost 0 inf + 1 540.481 * [simplify]: Simplified to 0 540.481 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 540.482 * * * * [progress]: [ 1023 / 2246 ] simplifiying candidate # 540.482 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 540.482 * * [simplify]: iters left: 6 (26 enodes) 540.488 * * [simplify]: iters left: 5 (105 enodes) 540.505 * * [simplify]: iters left: 4 (235 enodes) 540.572 * * [simplify]: Extracting #0: cost 1 inf + 0 540.572 * * [simplify]: Extracting #1: cost 11 inf + 0 540.572 * * [simplify]: Extracting #2: cost 149 inf + 0 540.573 * * [simplify]: Extracting #3: cost 260 inf + 85 540.574 * * [simplify]: Extracting #4: cost 261 inf + 489 540.575 * * [simplify]: Extracting #5: cost 242 inf + 4669 540.577 * * [simplify]: Extracting #6: cost 212 inf + 14226 540.581 * * [simplify]: Extracting #7: cost 177 inf + 29856 540.595 * * [simplify]: Extracting #8: cost 60 inf + 98552 540.619 * * [simplify]: Extracting #9: cost 0 inf + 134002 540.644 * * [simplify]: Extracting #10: cost 0 inf + 133322 540.670 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (hypot 1 x))) (* (/ (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (hypot 1 x))) (/ (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (hypot 1 x)))))) 540.670 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (hypot 1 x))) (* (/ (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (hypot 1 x))) (/ (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 540.670 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 540.671 * * [simplify]: iters left: 6 (21 enodes) 540.676 * * [simplify]: iters left: 5 (87 enodes) 540.690 * * [simplify]: iters left: 4 (200 enodes) 540.749 * * [simplify]: Extracting #0: cost 1 inf + 0 540.749 * * [simplify]: Extracting #1: cost 25 inf + 0 540.750 * * [simplify]: Extracting #2: cost 150 inf + 0 540.750 * * [simplify]: Extracting #3: cost 243 inf + 1 540.751 * * [simplify]: Extracting #4: cost 245 inf + 365 540.752 * * [simplify]: Extracting #5: cost 226 inf + 4202 540.754 * * [simplify]: Extracting #6: cost 200 inf + 13225 540.759 * * [simplify]: Extracting #7: cost 154 inf + 36777 540.778 * * [simplify]: Extracting #8: cost 20 inf + 116269 540.803 * * [simplify]: Extracting #9: cost 0 inf + 128603 540.826 * [simplify]: Simplified to (- (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 540.827 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) (- (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 540.827 * * * * [progress]: [ 1024 / 2246 ] simplifiying candidate # 540.827 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 540.827 * * [simplify]: iters left: 6 (25 enodes) 540.834 * * [simplify]: iters left: 5 (100 enodes) 540.850 * * [simplify]: iters left: 4 (199 enodes) 540.895 * * [simplify]: Extracting #0: cost 1 inf + 0 540.895 * * [simplify]: Extracting #1: cost 11 inf + 0 540.896 * * [simplify]: Extracting #2: cost 110 inf + 0 540.896 * * [simplify]: Extracting #3: cost 187 inf + 43 540.897 * * [simplify]: Extracting #4: cost 185 inf + 650 540.897 * * [simplify]: Extracting #5: cost 172 inf + 3156 540.900 * * [simplify]: Extracting #6: cost 122 inf + 19416 540.910 * * [simplify]: Extracting #7: cost 28 inf + 68268 540.925 * * [simplify]: Extracting #8: cost 0 inf + 84132 540.942 * * [simplify]: Extracting #9: cost 0 inf + 84092 540.956 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 540.957 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (/ (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 540.957 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 540.957 * * [simplify]: iters left: 6 (20 enodes) 540.962 * * [simplify]: iters left: 5 (82 enodes) 540.975 * * [simplify]: iters left: 4 (166 enodes) 541.016 * * [simplify]: Extracting #0: cost 1 inf + 0 541.016 * * [simplify]: Extracting #1: cost 22 inf + 0 541.016 * * [simplify]: Extracting #2: cost 106 inf + 0 541.017 * * [simplify]: Extracting #3: cost 175 inf + 0 541.017 * * [simplify]: Extracting #4: cost 174 inf + 286 541.018 * * [simplify]: Extracting #5: cost 165 inf + 2060 541.019 * * [simplify]: Extracting #6: cost 133 inf + 12055 541.021 * * [simplify]: Extracting #7: cost 124 inf + 14115 541.027 * * [simplify]: Extracting #8: cost 61 inf + 47169 541.040 * * [simplify]: Extracting #9: cost 3 inf + 80053 541.055 * * [simplify]: Extracting #10: cost 0 inf + 81907 541.069 * [simplify]: Simplified to (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 541.069 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))))))) 541.069 * * * * [progress]: [ 1025 / 2246 ] simplifiying candidate # 541.069 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 541.070 * * [simplify]: iters left: 6 (24 enodes) 541.077 * * [simplify]: iters left: 5 (94 enodes) 541.094 * * [simplify]: iters left: 4 (203 enodes) 541.147 * * [simplify]: Extracting #0: cost 1 inf + 0 541.147 * * [simplify]: Extracting #1: cost 13 inf + 0 541.147 * * [simplify]: Extracting #2: cost 126 inf + 0 541.148 * * [simplify]: Extracting #3: cost 185 inf + 43 541.148 * * [simplify]: Extracting #4: cost 182 inf + 931 541.149 * * [simplify]: Extracting #5: cost 161 inf + 5531 541.154 * * [simplify]: Extracting #6: cost 82 inf + 33746 541.166 * * [simplify]: Extracting #7: cost 4 inf + 71350 541.179 * * [simplify]: Extracting #8: cost 0 inf + 73702 541.191 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 541.192 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 541.192 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 541.192 * * [simplify]: iters left: 6 (19 enodes) 541.197 * * [simplify]: iters left: 5 (76 enodes) 541.210 * * [simplify]: iters left: 4 (173 enodes) 541.256 * * [simplify]: Extracting #0: cost 1 inf + 0 541.256 * * [simplify]: Extracting #1: cost 14 inf + 0 541.256 * * [simplify]: Extracting #2: cost 90 inf + 0 541.256 * * [simplify]: Extracting #3: cost 150 inf + 1 541.257 * * [simplify]: Extracting #4: cost 151 inf + 286 541.257 * * [simplify]: Extracting #5: cost 139 inf + 2371 541.259 * * [simplify]: Extracting #6: cost 93 inf + 16977 541.267 * * [simplify]: Extracting #7: cost 13 inf + 53665 541.277 * * [simplify]: Extracting #8: cost 0 inf + 59778 541.289 * [simplify]: Simplified to (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 541.289 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 541.289 * * * * [progress]: [ 1026 / 2246 ] simplifiying candidate # 541.290 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 541.290 * * [simplify]: iters left: 6 (23 enodes) 541.296 * * [simplify]: iters left: 5 (93 enodes) 541.311 * * [simplify]: iters left: 4 (161 enodes) 541.345 * * [simplify]: iters left: 3 (420 enodes) 541.524 * * [simplify]: Extracting #0: cost 1 inf + 0 541.524 * * [simplify]: Extracting #1: cost 19 inf + 0 541.524 * * [simplify]: Extracting #2: cost 170 inf + 0 541.526 * * [simplify]: Extracting #3: cost 280 inf + 43 541.527 * * [simplify]: Extracting #4: cost 278 inf + 1106 541.528 * * [simplify]: Extracting #5: cost 255 inf + 5833 541.532 * * [simplify]: Extracting #6: cost 188 inf + 27410 541.542 * * [simplify]: Extracting #7: cost 119 inf + 56692 541.564 * * [simplify]: Extracting #8: cost 13 inf + 108865 541.591 * * [simplify]: Extracting #9: cost 0 inf + 114249 541.615 * * [simplify]: Extracting #10: cost 0 inf + 114224 541.640 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 541.640 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 541.641 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 541.641 * * [simplify]: iters left: 6 (20 enodes) 541.646 * * [simplify]: iters left: 5 (82 enodes) 541.661 * * [simplify]: iters left: 4 (138 enodes) 541.692 * * [simplify]: iters left: 3 (402 enodes) 541.866 * * [simplify]: Extracting #0: cost 1 inf + 0 541.866 * * [simplify]: Extracting #1: cost 0 inf + 1 541.866 * [simplify]: Simplified to 0 541.866 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 0))) 541.867 * * * * [progress]: [ 1027 / 2246 ] simplifiying candidate # 541.867 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 541.867 * * [simplify]: iters left: 6 (23 enodes) 541.876 * * [simplify]: iters left: 5 (93 enodes) 541.891 * * [simplify]: iters left: 4 (161 enodes) 541.925 * * [simplify]: iters left: 3 (420 enodes) 542.104 * * [simplify]: Extracting #0: cost 1 inf + 0 542.104 * * [simplify]: Extracting #1: cost 19 inf + 0 542.104 * * [simplify]: Extracting #2: cost 170 inf + 0 542.105 * * [simplify]: Extracting #3: cost 280 inf + 43 542.106 * * [simplify]: Extracting #4: cost 278 inf + 1106 542.108 * * [simplify]: Extracting #5: cost 255 inf + 5833 542.112 * * [simplify]: Extracting #6: cost 188 inf + 27410 542.121 * * [simplify]: Extracting #7: cost 119 inf + 56692 542.143 * * [simplify]: Extracting #8: cost 13 inf + 108865 542.170 * * [simplify]: Extracting #9: cost 0 inf + 114249 542.195 * * [simplify]: Extracting #10: cost 0 inf + 114224 542.220 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 542.220 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 542.220 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 542.220 * * [simplify]: iters left: 6 (20 enodes) 542.226 * * [simplify]: iters left: 5 (82 enodes) 542.239 * * [simplify]: iters left: 4 (138 enodes) 542.271 * * [simplify]: iters left: 3 (402 enodes) 542.446 * * [simplify]: Extracting #0: cost 1 inf + 0 542.446 * * [simplify]: Extracting #1: cost 0 inf + 1 542.446 * [simplify]: Simplified to 0 542.446 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 0))) 542.446 * * * * [progress]: [ 1028 / 2246 ] simplifiying candidate # 542.446 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 542.446 * * [simplify]: iters left: 6 (24 enodes) 542.453 * * [simplify]: iters left: 5 (94 enodes) 542.472 * * [simplify]: iters left: 4 (203 enodes) 542.524 * * [simplify]: Extracting #0: cost 1 inf + 0 542.524 * * [simplify]: Extracting #1: cost 13 inf + 0 542.525 * * [simplify]: Extracting #2: cost 126 inf + 0 542.525 * * [simplify]: Extracting #3: cost 185 inf + 43 542.526 * * [simplify]: Extracting #4: cost 182 inf + 931 542.527 * * [simplify]: Extracting #5: cost 161 inf + 5531 542.531 * * [simplify]: Extracting #6: cost 82 inf + 33746 542.543 * * [simplify]: Extracting #7: cost 4 inf + 71350 542.556 * * [simplify]: Extracting #8: cost 0 inf + 73702 542.568 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 542.568 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 542.569 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 542.569 * * [simplify]: iters left: 6 (19 enodes) 542.573 * * [simplify]: iters left: 5 (76 enodes) 542.587 * * [simplify]: iters left: 4 (173 enodes) 542.632 * * [simplify]: Extracting #0: cost 1 inf + 0 542.632 * * [simplify]: Extracting #1: cost 14 inf + 0 542.633 * * [simplify]: Extracting #2: cost 90 inf + 0 542.633 * * [simplify]: Extracting #3: cost 150 inf + 1 542.633 * * [simplify]: Extracting #4: cost 151 inf + 286 542.634 * * [simplify]: Extracting #5: cost 139 inf + 2371 542.636 * * [simplify]: Extracting #6: cost 93 inf + 16977 542.643 * * [simplify]: Extracting #7: cost 13 inf + 53665 542.653 * * [simplify]: Extracting #8: cost 0 inf + 59778 542.665 * [simplify]: Simplified to (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 542.665 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 542.666 * * * * [progress]: [ 1029 / 2246 ] simplifiying candidate # 542.666 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 542.666 * * [simplify]: iters left: 6 (25 enodes) 542.673 * * [simplify]: iters left: 5 (99 enodes) 542.688 * * [simplify]: iters left: 4 (204 enodes) 542.736 * * [simplify]: Extracting #0: cost 1 inf + 0 542.736 * * [simplify]: Extracting #1: cost 11 inf + 0 542.736 * * [simplify]: Extracting #2: cost 107 inf + 0 542.737 * * [simplify]: Extracting #3: cost 186 inf + 43 542.737 * * [simplify]: Extracting #4: cost 185 inf + 568 542.738 * * [simplify]: Extracting #5: cost 178 inf + 1777 542.739 * * [simplify]: Extracting #6: cost 151 inf + 8957 542.748 * * [simplify]: Extracting #7: cost 51 inf + 60437 542.764 * * [simplify]: Extracting #8: cost 0 inf + 87675 542.781 * * [simplify]: Extracting #9: cost 0 inf + 87115 542.798 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (sqrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (sqrt (hypot 1 x)))))) 542.798 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (sqrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 542.798 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 542.799 * * [simplify]: iters left: 6 (20 enodes) 542.803 * * [simplify]: iters left: 5 (81 enodes) 542.818 * * [simplify]: iters left: 4 (169 enodes) 542.858 * * [simplify]: Extracting #0: cost 1 inf + 0 542.858 * * [simplify]: Extracting #1: cost 22 inf + 0 542.858 * * [simplify]: Extracting #2: cost 104 inf + 0 542.859 * * [simplify]: Extracting #3: cost 169 inf + 0 542.859 * * [simplify]: Extracting #4: cost 160 inf + 1174 542.860 * * [simplify]: Extracting #5: cost 140 inf + 5986 542.861 * * [simplify]: Extracting #6: cost 136 inf + 7316 542.863 * * [simplify]: Extracting #7: cost 132 inf + 7868 542.868 * * [simplify]: Extracting #8: cost 72 inf + 39468 542.883 * * [simplify]: Extracting #9: cost 3 inf + 80030 542.899 * * [simplify]: Extracting #10: cost 0 inf + 81164 542.914 * * [simplify]: Extracting #11: cost 0 inf + 80644 542.929 * * [simplify]: Extracting #12: cost 0 inf + 80484 542.945 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) 542.945 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))))))) 542.945 * * * * [progress]: [ 1030 / 2246 ] simplifiying candidate # 542.945 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 542.945 * * [simplify]: iters left: 6 (24 enodes) 542.952 * * [simplify]: iters left: 5 (93 enodes) 542.968 * * [simplify]: iters left: 4 (171 enodes) 543.001 * * [simplify]: iters left: 3 (429 enodes) 543.135 * * [simplify]: Extracting #0: cost 1 inf + 0 543.135 * * [simplify]: Extracting #1: cost 11 inf + 0 543.135 * * [simplify]: Extracting #2: cost 129 inf + 0 543.136 * * [simplify]: Extracting #3: cost 241 inf + 125 543.137 * * [simplify]: Extracting #4: cost 241 inf + 732 543.139 * * [simplify]: Extracting #5: cost 224 inf + 4288 543.142 * * [simplify]: Extracting #6: cost 174 inf + 20891 543.158 * * [simplify]: Extracting #7: cost 48 inf + 78959 543.182 * * [simplify]: Extracting #8: cost 0 inf + 104223 543.208 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 543.208 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 543.209 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 543.209 * * [simplify]: iters left: 6 (19 enodes) 543.214 * * [simplify]: iters left: 5 (75 enodes) 543.225 * * [simplify]: iters left: 4 (138 enodes) 543.253 * * [simplify]: iters left: 3 (364 enodes) 543.373 * * [simplify]: Extracting #0: cost 1 inf + 0 543.373 * * [simplify]: Extracting #1: cost 0 inf + 1 543.373 * [simplify]: Simplified to 0 543.374 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 543.374 * * * * [progress]: [ 1031 / 2246 ] simplifiying candidate # 543.374 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 543.376 * * [simplify]: iters left: 6 (23 enodes) 543.383 * * [simplify]: iters left: 5 (89 enodes) 543.396 * * [simplify]: iters left: 4 (164 enodes) 543.429 * * [simplify]: iters left: 3 (391 enodes) 543.581 * * [simplify]: Extracting #0: cost 1 inf + 0 543.581 * * [simplify]: Extracting #1: cost 11 inf + 0 543.581 * * [simplify]: Extracting #2: cost 118 inf + 0 543.582 * * [simplify]: Extracting #3: cost 212 inf + 43 543.583 * * [simplify]: Extracting #4: cost 211 inf + 530 543.584 * * [simplify]: Extracting #5: cost 189 inf + 4598 543.589 * * [simplify]: Extracting #6: cost 115 inf + 28503 543.606 * * [simplify]: Extracting #7: cost 20 inf + 68243 543.623 * * [simplify]: Extracting #8: cost 0 inf + 76713 543.642 * * [simplify]: Extracting #9: cost 0 inf + 76663 543.660 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 543.660 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))))) 543.660 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1))) 543.660 * * [simplify]: iters left: 6 (18 enodes) 543.665 * * [simplify]: iters left: 5 (71 enodes) 543.676 * * [simplify]: iters left: 4 (130 enodes) 543.704 * * [simplify]: iters left: 3 (341 enodes) 543.827 * * [simplify]: Extracting #0: cost 1 inf + 0 543.827 * * [simplify]: Extracting #1: cost 0 inf + 1 543.827 * [simplify]: Simplified to 0 543.827 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 0))) 543.828 * * * * [progress]: [ 1032 / 2246 ] simplifiying candidate # 543.828 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) 543.828 * * [simplify]: iters left: 6 (22 enodes) 543.834 * * [simplify]: iters left: 5 (87 enodes) 543.851 * * [simplify]: iters left: 4 (140 enodes) 543.877 * * [simplify]: iters left: 3 (320 enodes) 543.977 * * [simplify]: Extracting #0: cost 1 inf + 0 543.977 * * [simplify]: Extracting #1: cost 11 inf + 0 543.977 * * [simplify]: Extracting #2: cost 106 inf + 0 543.978 * * [simplify]: Extracting #3: cost 184 inf + 125 543.979 * * [simplify]: Extracting #4: cost 185 inf + 652 543.980 * * [simplify]: Extracting #5: cost 161 inf + 4808 543.985 * * [simplify]: Extracting #6: cost 99 inf + 24901 543.998 * * [simplify]: Extracting #7: cost 9 inf + 63761 544.013 * * [simplify]: Extracting #8: cost 0 inf + 67313 544.028 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 544.029 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))))) 544.029 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)))) 544.029 * * [simplify]: iters left: 6 (19 enodes) 544.034 * * [simplify]: iters left: 5 (76 enodes) 544.047 * * [simplify]: iters left: 4 (115 enodes) 544.069 * * [simplify]: iters left: 3 (283 enodes) 544.164 * * [simplify]: Extracting #0: cost 1 inf + 0 544.165 * * [simplify]: Extracting #1: cost 28 inf + 0 544.165 * * [simplify]: Extracting #2: cost 102 inf + 1 544.165 * * [simplify]: Extracting #3: cost 142 inf + 691 544.166 * * [simplify]: Extracting #4: cost 131 inf + 3683 544.168 * * [simplify]: Extracting #5: cost 102 inf + 11388 544.171 * * [simplify]: Extracting #6: cost 97 inf + 12896 544.178 * * [simplify]: Extracting #7: cost 45 inf + 33427 544.190 * * [simplify]: Extracting #8: cost 0 inf + 53907 544.204 * * [simplify]: Extracting #9: cost 0 inf + 53757 544.217 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 544.217 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 544.217 * * * * [progress]: [ 1033 / 2246 ] simplifiying candidate # 544.217 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) 544.218 * * [simplify]: iters left: 6 (22 enodes) 544.224 * * [simplify]: iters left: 5 (87 enodes) 544.239 * * [simplify]: iters left: 4 (140 enodes) 544.266 * * [simplify]: iters left: 3 (320 enodes) 544.365 * * [simplify]: Extracting #0: cost 1 inf + 0 544.365 * * [simplify]: Extracting #1: cost 11 inf + 0 544.365 * * [simplify]: Extracting #2: cost 106 inf + 0 544.366 * * [simplify]: Extracting #3: cost 184 inf + 125 544.367 * * [simplify]: Extracting #4: cost 185 inf + 652 544.368 * * [simplify]: Extracting #5: cost 161 inf + 4808 544.373 * * [simplify]: Extracting #6: cost 99 inf + 24901 544.386 * * [simplify]: Extracting #7: cost 9 inf + 63761 544.401 * * [simplify]: Extracting #8: cost 0 inf + 67313 544.417 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 544.417 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))))) 544.417 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)))) 544.417 * * [simplify]: iters left: 6 (19 enodes) 544.424 * * [simplify]: iters left: 5 (76 enodes) 544.436 * * [simplify]: iters left: 4 (115 enodes) 544.457 * * [simplify]: iters left: 3 (283 enodes) 544.551 * * [simplify]: Extracting #0: cost 1 inf + 0 544.551 * * [simplify]: Extracting #1: cost 28 inf + 0 544.552 * * [simplify]: Extracting #2: cost 102 inf + 1 544.552 * * [simplify]: Extracting #3: cost 142 inf + 691 544.553 * * [simplify]: Extracting #4: cost 131 inf + 3683 544.555 * * [simplify]: Extracting #5: cost 102 inf + 11388 544.558 * * [simplify]: Extracting #6: cost 97 inf + 12896 544.565 * * [simplify]: Extracting #7: cost 45 inf + 33427 544.578 * * [simplify]: Extracting #8: cost 0 inf + 53907 544.591 * * [simplify]: Extracting #9: cost 0 inf + 53757 544.604 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 544.604 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 544.604 * * * * [progress]: [ 1034 / 2246 ] simplifiying candidate # 544.604 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 544.605 * * [simplify]: iters left: 6 (23 enodes) 544.613 * * [simplify]: iters left: 5 (89 enodes) 544.627 * * [simplify]: iters left: 4 (164 enodes) 544.660 * * [simplify]: iters left: 3 (391 enodes) 544.813 * * [simplify]: Extracting #0: cost 1 inf + 0 544.813 * * [simplify]: Extracting #1: cost 11 inf + 0 544.813 * * [simplify]: Extracting #2: cost 118 inf + 0 544.814 * * [simplify]: Extracting #3: cost 212 inf + 43 544.815 * * [simplify]: Extracting #4: cost 211 inf + 530 544.816 * * [simplify]: Extracting #5: cost 189 inf + 4598 544.821 * * [simplify]: Extracting #6: cost 115 inf + 28503 544.838 * * [simplify]: Extracting #7: cost 20 inf + 68243 544.856 * * [simplify]: Extracting #8: cost 0 inf + 76713 544.874 * * [simplify]: Extracting #9: cost 0 inf + 76663 544.892 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 544.892 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))))) 544.892 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1))) 544.892 * * [simplify]: iters left: 6 (18 enodes) 544.897 * * [simplify]: iters left: 5 (71 enodes) 544.908 * * [simplify]: iters left: 4 (130 enodes) 544.937 * * [simplify]: iters left: 3 (341 enodes) 545.062 * * [simplify]: Extracting #0: cost 1 inf + 0 545.062 * * [simplify]: Extracting #1: cost 0 inf + 1 545.063 * [simplify]: Simplified to 0 545.063 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 0))) 545.063 * * * * [progress]: [ 1035 / 2246 ] simplifiying candidate # 545.064 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 545.064 * * [simplify]: iters left: 6 (24 enodes) 545.071 * * [simplify]: iters left: 5 (94 enodes) 545.086 * * [simplify]: iters left: 4 (196 enodes) 545.132 * * [simplify]: Extracting #0: cost 1 inf + 0 545.132 * * [simplify]: Extracting #1: cost 11 inf + 0 545.132 * * [simplify]: Extracting #2: cost 91 inf + 0 545.132 * * [simplify]: Extracting #3: cost 155 inf + 2 545.133 * * [simplify]: Extracting #4: cost 144 inf + 1274 545.134 * * [simplify]: Extracting #5: cost 126 inf + 5001 545.135 * * [simplify]: Extracting #6: cost 122 inf + 5971 545.136 * * [simplify]: Extracting #7: cost 119 inf + 6385 545.139 * * [simplify]: Extracting #8: cost 81 inf + 23109 545.150 * * [simplify]: Extracting #9: cost 5 inf + 61517 545.165 * * [simplify]: Extracting #10: cost 0 inf + 63807 545.178 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (hypot 1 x)))) 545.178 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (hypot 1 x)))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 545.178 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 545.178 * * [simplify]: iters left: 6 (19 enodes) 545.183 * * [simplify]: iters left: 5 (76 enodes) 545.196 * * [simplify]: iters left: 4 (163 enodes) 545.236 * * [simplify]: iters left: 3 (466 enodes) 545.446 * * [simplify]: Extracting #0: cost 1 inf + 0 545.446 * * [simplify]: Extracting #1: cost 0 inf + 1 545.446 * [simplify]: Simplified to 0 545.446 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 545.446 * * * * [progress]: [ 1036 / 2246 ] simplifiying candidate # 545.446 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 545.446 * * [simplify]: iters left: 6 (23 enodes) 545.453 * * [simplify]: iters left: 5 (89 enodes) 545.466 * * [simplify]: iters left: 4 (163 enodes) 545.501 * * [simplify]: iters left: 3 (385 enodes) 545.629 * * [simplify]: Extracting #0: cost 1 inf + 0 545.629 * * [simplify]: Extracting #1: cost 11 inf + 0 545.629 * * [simplify]: Extracting #2: cost 102 inf + 0 545.630 * * [simplify]: Extracting #3: cost 201 inf + 44 545.631 * * [simplify]: Extracting #4: cost 190 inf + 1479 545.634 * * [simplify]: Extracting #5: cost 122 inf + 20312 545.648 * * [simplify]: Extracting #6: cost 16 inf + 64072 545.668 * * [simplify]: Extracting #7: cost 0 inf + 70920 545.686 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 545.686 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 545.686 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 545.686 * * [simplify]: iters left: 6 (18 enodes) 545.691 * * [simplify]: iters left: 5 (71 enodes) 545.702 * * [simplify]: iters left: 4 (132 enodes) 545.729 * * [simplify]: iters left: 3 (327 enodes) 545.844 * * [simplify]: Extracting #0: cost 1 inf + 0 545.844 * * [simplify]: Extracting #1: cost 0 inf + 1 545.844 * [simplify]: Simplified to 0 545.844 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 545.844 * * * * [progress]: [ 1037 / 2246 ] simplifiying candidate # 545.844 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 545.844 * * [simplify]: iters left: 6 (22 enodes) 545.851 * * [simplify]: iters left: 5 (81 enodes) 545.863 * * [simplify]: iters left: 4 (148 enodes) 545.890 * * [simplify]: iters left: 3 (328 enodes) 545.990 * * [simplify]: Extracting #0: cost 1 inf + 0 545.990 * * [simplify]: Extracting #1: cost 13 inf + 0 545.990 * * [simplify]: Extracting #2: cost 92 inf + 0 545.991 * * [simplify]: Extracting #3: cost 139 inf + 3 545.991 * * [simplify]: Extracting #4: cost 131 inf + 1122 545.993 * * [simplify]: Extracting #5: cost 96 inf + 7716 545.996 * * [simplify]: Extracting #6: cost 55 inf + 21109 546.003 * * [simplify]: Extracting #7: cost 18 inf + 34738 546.013 * * [simplify]: Extracting #8: cost 0 inf + 41768 546.025 * * [simplify]: Extracting #9: cost 0 inf + 41657 546.034 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 546.034 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))))) 546.035 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1))) 546.035 * * [simplify]: iters left: 6 (17 enodes) 546.039 * * [simplify]: iters left: 5 (62 enodes) 546.049 * * [simplify]: iters left: 4 (117 enodes) 546.071 * * [simplify]: iters left: 3 (259 enodes) 546.139 * * [simplify]: Extracting #0: cost 1 inf + 0 546.139 * * [simplify]: Extracting #1: cost 0 inf + 1 546.139 * [simplify]: Simplified to 0 546.139 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 546.139 * * * * [progress]: [ 1038 / 2246 ] simplifiying candidate # 546.139 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 546.139 * * [simplify]: iters left: 6 (21 enodes) 546.148 * * [simplify]: iters left: 5 (82 enodes) 546.160 * * [simplify]: iters left: 4 (147 enodes) 546.187 * * [simplify]: iters left: 3 (321 enodes) 546.284 * * [simplify]: Extracting #0: cost 1 inf + 0 546.284 * * [simplify]: Extracting #1: cost 13 inf + 0 546.284 * * [simplify]: Extracting #2: cost 112 inf + 0 546.285 * * [simplify]: Extracting #3: cost 158 inf + 126 546.285 * * [simplify]: Extracting #4: cost 148 inf + 1623 546.287 * * [simplify]: Extracting #5: cost 115 inf + 7693 546.293 * * [simplify]: Extracting #6: cost 43 inf + 33412 546.304 * * [simplify]: Extracting #7: cost 0 inf + 50551 546.315 * * [simplify]: Extracting #8: cost 0 inf + 50176 546.328 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 546.328 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))))) 546.329 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)))) 546.329 * * [simplify]: iters left: 6 (18 enodes) 546.334 * * [simplify]: iters left: 5 (71 enodes) 546.344 * * [simplify]: iters left: 4 (123 enodes) 546.367 * * [simplify]: iters left: 3 (278 enodes) 546.445 * * [simplify]: Extracting #0: cost 1 inf + 0 546.445 * * [simplify]: Extracting #1: cost 0 inf + 1 546.445 * [simplify]: Simplified to 0 546.445 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 0))) 546.445 * * * * [progress]: [ 1039 / 2246 ] simplifiying candidate # 546.445 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 546.445 * * [simplify]: iters left: 6 (21 enodes) 546.452 * * [simplify]: iters left: 5 (82 enodes) 546.464 * * [simplify]: iters left: 4 (147 enodes) 546.491 * * [simplify]: iters left: 3 (321 enodes) 546.588 * * [simplify]: Extracting #0: cost 1 inf + 0 546.588 * * [simplify]: Extracting #1: cost 13 inf + 0 546.588 * * [simplify]: Extracting #2: cost 112 inf + 0 546.589 * * [simplify]: Extracting #3: cost 158 inf + 126 546.589 * * [simplify]: Extracting #4: cost 148 inf + 1623 546.591 * * [simplify]: Extracting #5: cost 115 inf + 7693 546.597 * * [simplify]: Extracting #6: cost 43 inf + 33412 546.608 * * [simplify]: Extracting #7: cost 0 inf + 50551 546.619 * * [simplify]: Extracting #8: cost 0 inf + 50176 546.633 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 546.633 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))))) 546.633 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)))) 546.633 * * [simplify]: iters left: 6 (18 enodes) 546.639 * * [simplify]: iters left: 5 (71 enodes) 546.649 * * [simplify]: iters left: 4 (123 enodes) 546.672 * * [simplify]: iters left: 3 (278 enodes) 546.749 * * [simplify]: Extracting #0: cost 1 inf + 0 546.749 * * [simplify]: Extracting #1: cost 0 inf + 1 546.749 * [simplify]: Simplified to 0 546.749 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 0))) 546.749 * * * * [progress]: [ 1040 / 2246 ] simplifiying candidate # 546.749 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 546.749 * * [simplify]: iters left: 6 (22 enodes) 546.756 * * [simplify]: iters left: 5 (81 enodes) 546.768 * * [simplify]: iters left: 4 (148 enodes) 546.795 * * [simplify]: iters left: 3 (328 enodes) 546.895 * * [simplify]: Extracting #0: cost 1 inf + 0 546.895 * * [simplify]: Extracting #1: cost 13 inf + 0 546.895 * * [simplify]: Extracting #2: cost 92 inf + 0 546.896 * * [simplify]: Extracting #3: cost 139 inf + 3 546.896 * * [simplify]: Extracting #4: cost 131 inf + 1122 546.898 * * [simplify]: Extracting #5: cost 96 inf + 7716 546.901 * * [simplify]: Extracting #6: cost 55 inf + 21109 546.909 * * [simplify]: Extracting #7: cost 18 inf + 34738 546.918 * * [simplify]: Extracting #8: cost 0 inf + 41768 546.930 * * [simplify]: Extracting #9: cost 0 inf + 41657 546.939 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 546.939 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))))) 546.940 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1))) 546.940 * * [simplify]: iters left: 6 (17 enodes) 546.944 * * [simplify]: iters left: 5 (62 enodes) 546.954 * * [simplify]: iters left: 4 (117 enodes) 546.976 * * [simplify]: iters left: 3 (259 enodes) 547.045 * * [simplify]: Extracting #0: cost 1 inf + 0 547.046 * * [simplify]: Extracting #1: cost 0 inf + 1 547.046 * [simplify]: Simplified to 0 547.046 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 547.046 * * * * [progress]: [ 1041 / 2246 ] simplifiying candidate # 547.046 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 547.046 * * [simplify]: iters left: 6 (24 enodes) 547.052 * * [simplify]: iters left: 5 (95 enodes) 547.067 * * [simplify]: iters left: 4 (202 enodes) 547.115 * * [simplify]: Extracting #0: cost 1 inf + 0 547.115 * * [simplify]: Extracting #1: cost 11 inf + 0 547.115 * * [simplify]: Extracting #2: cost 102 inf + 0 547.115 * * [simplify]: Extracting #3: cost 181 inf + 43 547.116 * * [simplify]: Extracting #4: cost 182 inf + 286 547.117 * * [simplify]: Extracting #5: cost 170 inf + 2700 547.118 * * [simplify]: Extracting #6: cost 150 inf + 7755 547.121 * * [simplify]: Extracting #7: cost 119 inf + 20568 547.133 * * [simplify]: Extracting #8: cost 29 inf + 67828 547.149 * * [simplify]: Extracting #9: cost 0 inf + 83095 547.165 * * [simplify]: Extracting #10: cost 0 inf + 83015 547.181 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))))) 547.181 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 547.182 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 547.182 * * [simplify]: iters left: 6 (20 enodes) 547.187 * * [simplify]: iters left: 5 (80 enodes) 547.201 * * [simplify]: iters left: 4 (163 enodes) 547.238 * * [simplify]: iters left: 3 (493 enodes) 547.431 * * [simplify]: Extracting #0: cost 1 inf + 0 547.431 * * [simplify]: Extracting #1: cost 0 inf + 1 547.431 * [simplify]: Simplified to 0 547.431 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 547.431 * * * * [progress]: [ 1042 / 2246 ] simplifiying candidate # 547.432 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 547.432 * * [simplify]: iters left: 6 (23 enodes) 547.438 * * [simplify]: iters left: 5 (90 enodes) 547.452 * * [simplify]: iters left: 4 (172 enodes) 547.491 * * [simplify]: iters left: 3 (449 enodes) 547.615 * * [simplify]: Extracting #0: cost 1 inf + 0 547.615 * * [simplify]: Extracting #1: cost 11 inf + 0 547.616 * * [simplify]: Extracting #2: cost 129 inf + 0 547.617 * * [simplify]: Extracting #3: cost 256 inf + 126 547.618 * * [simplify]: Extracting #4: cost 259 inf + 329 547.619 * * [simplify]: Extracting #5: cost 242 inf + 4008 547.624 * * [simplify]: Extracting #6: cost 175 inf + 26432 547.645 * * [simplify]: Extracting #7: cost 39 inf + 90207 547.669 * * [simplify]: Extracting #8: cost 0 inf + 109111 547.694 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 547.694 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 547.695 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 547.695 * * [simplify]: iters left: 6 (19 enodes) 547.700 * * [simplify]: iters left: 5 (75 enodes) 547.712 * * [simplify]: iters left: 4 (134 enodes) 547.739 * * [simplify]: iters left: 3 (346 enodes) 547.840 * * [simplify]: Extracting #0: cost 1 inf + 0 547.840 * * [simplify]: Extracting #1: cost 0 inf + 1 547.840 * [simplify]: Simplified to 0 547.840 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 547.840 * * * * [progress]: [ 1043 / 2246 ] simplifiying candidate # 547.840 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 547.841 * * [simplify]: iters left: 6 (22 enodes) 547.847 * * [simplify]: iters left: 5 (85 enodes) 547.860 * * [simplify]: iters left: 4 (166 enodes) 547.900 * * [simplify]: iters left: 3 (414 enodes) 548.027 * * [simplify]: Extracting #0: cost 1 inf + 0 548.027 * * [simplify]: Extracting #1: cost 15 inf + 0 548.028 * * [simplify]: Extracting #2: cost 118 inf + 0 548.029 * * [simplify]: Extracting #3: cost 235 inf + 85 548.030 * * [simplify]: Extracting #4: cost 235 inf + 533 548.031 * * [simplify]: Extracting #5: cost 226 inf + 2228 548.034 * * [simplify]: Extracting #6: cost 160 inf + 19672 548.041 * * [simplify]: Extracting #7: cost 107 inf + 38469 548.058 * * [simplify]: Extracting #8: cost 7 inf + 82253 548.078 * * [simplify]: Extracting #9: cost 0 inf + 85210 548.096 * [simplify]: Simplified to (+ (/ (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 548.096 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 548.097 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 548.097 * * [simplify]: iters left: 6 (18 enodes) 548.102 * * [simplify]: iters left: 5 (70 enodes) 548.113 * * [simplify]: iters left: 4 (126 enodes) 548.139 * * [simplify]: iters left: 3 (322 enodes) 548.236 * * [simplify]: Extracting #0: cost 1 inf + 0 548.236 * * [simplify]: Extracting #1: cost 0 inf + 1 548.236 * [simplify]: Simplified to 0 548.236 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 548.236 * * * * [progress]: [ 1044 / 2246 ] simplifiying candidate # 548.236 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 548.237 * * [simplify]: iters left: 6 (21 enodes) 548.242 * * [simplify]: iters left: 5 (83 enodes) 548.257 * * [simplify]: iters left: 4 (131 enodes) 548.280 * * [simplify]: iters left: 3 (281 enodes) 548.352 * * [simplify]: Extracting #0: cost 1 inf + 0 548.352 * * [simplify]: Extracting #1: cost 17 inf + 0 548.352 * * [simplify]: Extracting #2: cost 104 inf + 0 548.353 * * [simplify]: Extracting #3: cost 161 inf + 206 548.354 * * [simplify]: Extracting #4: cost 162 inf + 571 548.354 * * [simplify]: Extracting #5: cost 162 inf + 629 548.355 * * [simplify]: Extracting #6: cost 144 inf + 4845 548.357 * * [simplify]: Extracting #7: cost 115 inf + 12286 548.365 * * [simplify]: Extracting #8: cost 30 inf + 46856 548.377 * * [simplify]: Extracting #9: cost 0 inf + 59886 548.391 * * [simplify]: Extracting #10: cost 0 inf + 59686 548.403 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 548.403 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 548.404 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 548.404 * * [simplify]: iters left: 6 (19 enodes) 548.410 * * [simplify]: iters left: 5 (75 enodes) 548.421 * * [simplify]: iters left: 4 (111 enodes) 548.440 * * [simplify]: iters left: 3 (244 enodes) 548.502 * * [simplify]: Extracting #0: cost 1 inf + 0 548.502 * * [simplify]: Extracting #1: cost 18 inf + 0 548.503 * * [simplify]: Extracting #2: cost 75 inf + 1 548.503 * * [simplify]: Extracting #3: cost 123 inf + 1 548.504 * * [simplify]: Extracting #4: cost 115 inf + 1708 548.505 * * [simplify]: Extracting #5: cost 83 inf + 10385 548.507 * * [simplify]: Extracting #6: cost 78 inf + 11373 548.515 * * [simplify]: Extracting #7: cost 25 inf + 31967 548.524 * * [simplify]: Extracting #8: cost 0 inf + 41997 548.534 * * [simplify]: Extracting #9: cost 0 inf + 41872 548.544 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 548.544 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))))))) 548.544 * * * * [progress]: [ 1045 / 2246 ] simplifiying candidate # 548.544 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 548.544 * * [simplify]: iters left: 6 (21 enodes) 548.550 * * [simplify]: iters left: 5 (83 enodes) 548.563 * * [simplify]: iters left: 4 (131 enodes) 548.587 * * [simplify]: iters left: 3 (281 enodes) 548.658 * * [simplify]: Extracting #0: cost 1 inf + 0 548.658 * * [simplify]: Extracting #1: cost 17 inf + 0 548.658 * * [simplify]: Extracting #2: cost 104 inf + 0 548.658 * * [simplify]: Extracting #3: cost 161 inf + 206 548.659 * * [simplify]: Extracting #4: cost 162 inf + 571 548.660 * * [simplify]: Extracting #5: cost 162 inf + 629 548.660 * * [simplify]: Extracting #6: cost 144 inf + 4845 548.663 * * [simplify]: Extracting #7: cost 115 inf + 12286 548.670 * * [simplify]: Extracting #8: cost 30 inf + 46856 548.682 * * [simplify]: Extracting #9: cost 0 inf + 59886 548.695 * * [simplify]: Extracting #10: cost 0 inf + 59686 548.707 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 548.707 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 548.707 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 548.707 * * [simplify]: iters left: 6 (19 enodes) 548.714 * * [simplify]: iters left: 5 (75 enodes) 548.726 * * [simplify]: iters left: 4 (111 enodes) 548.744 * * [simplify]: iters left: 3 (244 enodes) 548.806 * * [simplify]: Extracting #0: cost 1 inf + 0 548.806 * * [simplify]: Extracting #1: cost 18 inf + 0 548.806 * * [simplify]: Extracting #2: cost 75 inf + 1 548.807 * * [simplify]: Extracting #3: cost 123 inf + 1 548.807 * * [simplify]: Extracting #4: cost 115 inf + 1708 548.809 * * [simplify]: Extracting #5: cost 83 inf + 10385 548.811 * * [simplify]: Extracting #6: cost 78 inf + 11373 548.817 * * [simplify]: Extracting #7: cost 25 inf + 31967 548.826 * * [simplify]: Extracting #8: cost 0 inf + 41997 548.836 * * [simplify]: Extracting #9: cost 0 inf + 41872 548.847 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 548.847 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))))))) 548.848 * * * * [progress]: [ 1046 / 2246 ] simplifiying candidate # 548.848 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 548.848 * * [simplify]: iters left: 6 (22 enodes) 548.854 * * [simplify]: iters left: 5 (85 enodes) 548.867 * * [simplify]: iters left: 4 (166 enodes) 548.904 * * [simplify]: iters left: 3 (414 enodes) 549.031 * * [simplify]: Extracting #0: cost 1 inf + 0 549.031 * * [simplify]: Extracting #1: cost 15 inf + 0 549.031 * * [simplify]: Extracting #2: cost 118 inf + 0 549.032 * * [simplify]: Extracting #3: cost 235 inf + 85 549.033 * * [simplify]: Extracting #4: cost 235 inf + 533 549.034 * * [simplify]: Extracting #5: cost 226 inf + 2228 549.037 * * [simplify]: Extracting #6: cost 160 inf + 19672 549.044 * * [simplify]: Extracting #7: cost 107 inf + 38469 549.061 * * [simplify]: Extracting #8: cost 7 inf + 82253 549.082 * * [simplify]: Extracting #9: cost 0 inf + 85210 549.100 * [simplify]: Simplified to (+ (/ (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 549.100 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 549.100 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 549.100 * * [simplify]: iters left: 6 (18 enodes) 549.105 * * [simplify]: iters left: 5 (70 enodes) 549.116 * * [simplify]: iters left: 4 (126 enodes) 549.141 * * [simplify]: iters left: 3 (322 enodes) 549.238 * * [simplify]: Extracting #0: cost 1 inf + 0 549.238 * * [simplify]: Extracting #1: cost 0 inf + 1 549.238 * [simplify]: Simplified to 0 549.238 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 549.238 * * * * [progress]: [ 1047 / 2246 ] simplifiying candidate # 549.238 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 549.238 * * [simplify]: iters left: 6 (22 enodes) 549.244 * * [simplify]: iters left: 5 (87 enodes) 549.258 * * [simplify]: iters left: 4 (174 enodes) 549.292 * * [simplify]: iters left: 3 (417 enodes) 549.404 * * [simplify]: Extracting #0: cost 1 inf + 0 549.404 * * [simplify]: Extracting #1: cost 11 inf + 0 549.404 * * [simplify]: Extracting #2: cost 108 inf + 0 549.405 * * [simplify]: Extracting #3: cost 215 inf + 44 549.406 * * [simplify]: Extracting #4: cost 217 inf + 330 549.407 * * [simplify]: Extracting #5: cost 210 inf + 1431 549.409 * * [simplify]: Extracting #6: cost 178 inf + 9704 549.422 * * [simplify]: Extracting #7: cost 64 inf + 64186 549.447 * * [simplify]: Extracting #8: cost 0 inf + 96041 549.471 * * [simplify]: Extracting #9: cost 0 inf + 95841 549.495 * * [simplify]: Extracting #10: cost 0 inf + 95761 549.519 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ 1/2 (* (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x)))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x)))))) 549.519 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ 1/2 (* (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x)))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 549.519 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 549.519 * * [simplify]: iters left: 6 (18 enodes) 549.524 * * [simplify]: iters left: 5 (72 enodes) 549.537 * * [simplify]: iters left: 4 (139 enodes) 549.563 * * [simplify]: iters left: 3 (344 enodes) 549.659 * * [simplify]: Extracting #0: cost 1 inf + 0 549.659 * * [simplify]: Extracting #1: cost 0 inf + 1 549.659 * [simplify]: Simplified to 0 549.659 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 549.659 * * * * [progress]: [ 1048 / 2246 ] simplifiying candidate # 549.660 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 549.660 * * [simplify]: iters left: 6 (20 enodes) 549.665 * * [simplify]: iters left: 5 (76 enodes) 549.676 * * [simplify]: iters left: 4 (129 enodes) 549.697 * * [simplify]: iters left: 3 (277 enodes) 549.753 * * [simplify]: Extracting #0: cost 1 inf + 0 549.753 * * [simplify]: Extracting #1: cost 9 inf + 0 549.753 * * [simplify]: Extracting #2: cost 78 inf + 0 549.754 * * [simplify]: Extracting #3: cost 139 inf + 3 549.754 * * [simplify]: Extracting #4: cost 142 inf + 166 549.755 * * [simplify]: Extracting #5: cost 140 inf + 387 549.756 * * [simplify]: Extracting #6: cost 124 inf + 3130 549.759 * * [simplify]: Extracting #7: cost 64 inf + 22774 549.769 * * [simplify]: Extracting #8: cost 5 inf + 47800 549.783 * * [simplify]: Extracting #9: cost 0 inf + 50250 549.794 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 549.794 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 549.795 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 549.795 * * [simplify]: iters left: 6 (16 enodes) 549.799 * * [simplify]: iters left: 5 (62 enodes) 549.808 * * [simplify]: iters left: 4 (105 enodes) 549.826 * * [simplify]: iters left: 3 (234 enodes) 549.878 * * [simplify]: Extracting #0: cost 1 inf + 0 549.878 * * [simplify]: Extracting #1: cost 0 inf + 1 549.878 * [simplify]: Simplified to 0 549.878 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 549.878 * * * * [progress]: [ 1049 / 2246 ] simplifiying candidate # 549.878 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 549.878 * * [simplify]: iters left: 6 (20 enodes) 549.884 * * [simplify]: iters left: 5 (78 enodes) 549.896 * * [simplify]: iters left: 4 (148 enodes) 549.928 * * [simplify]: iters left: 3 (306 enodes) 550.007 * * [simplify]: Extracting #0: cost 1 inf + 0 550.007 * * [simplify]: Extracting #1: cost 15 inf + 0 550.007 * * [simplify]: Extracting #2: cost 76 inf + 0 550.008 * * [simplify]: Extracting #3: cost 119 inf + 2 550.008 * * [simplify]: Extracting #4: cost 120 inf + 166 550.008 * * [simplify]: Extracting #5: cost 114 inf + 833 550.009 * * [simplify]: Extracting #6: cost 97 inf + 3793 550.014 * * [simplify]: Extracting #7: cost 34 inf + 23241 550.022 * * [simplify]: Extracting #8: cost 3 inf + 35060 550.032 * * [simplify]: Extracting #9: cost 0 inf + 36525 550.041 * [simplify]: Simplified to (+ (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 550.041 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))))) 550.042 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1))) 550.042 * * [simplify]: iters left: 6 (16 enodes) 550.046 * * [simplify]: iters left: 5 (63 enodes) 550.056 * * [simplify]: iters left: 4 (113 enodes) 550.077 * * [simplify]: iters left: 3 (256 enodes) 550.142 * * [simplify]: Extracting #0: cost 1 inf + 0 550.142 * * [simplify]: Extracting #1: cost 0 inf + 1 550.142 * [simplify]: Simplified to 0 550.142 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 0))) 550.142 * * * * [progress]: [ 1050 / 2246 ] simplifiying candidate # 550.142 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 550.142 * * [simplify]: iters left: 6 (19 enodes) 550.147 * * [simplify]: iters left: 5 (76 enodes) 550.161 * * [simplify]: iters left: 4 (115 enodes) 550.181 * * [simplify]: iters left: 3 (241 enodes) 550.235 * * [simplify]: iters left: 2 (477 enodes) 550.364 * * [simplify]: Extracting #0: cost 1 inf + 0 550.364 * * [simplify]: Extracting #1: cost 24 inf + 0 550.365 * * [simplify]: Extracting #2: cost 71 inf + 1 550.365 * * [simplify]: Extracting #3: cost 107 inf + 2 550.365 * * [simplify]: Extracting #4: cost 100 inf + 760 550.368 * * [simplify]: Extracting #5: cost 35 inf + 17065 550.376 * * [simplify]: Extracting #6: cost 1 inf + 27373 550.385 * * [simplify]: Extracting #7: cost 0 inf + 27726 550.395 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 550.395 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))))) 550.395 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)))) 550.395 * * [simplify]: iters left: 6 (17 enodes) 550.400 * * [simplify]: iters left: 5 (68 enodes) 550.410 * * [simplify]: iters left: 4 (101 enodes) 550.427 * * [simplify]: iters left: 3 (206 enodes) 550.472 * * [simplify]: iters left: 2 (407 enodes) 550.580 * * [simplify]: Extracting #0: cost 1 inf + 0 550.580 * * [simplify]: Extracting #1: cost 0 inf + 1 550.581 * [simplify]: Simplified to 0 550.581 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 550.581 * * * * [progress]: [ 1051 / 2246 ] simplifiying candidate # 550.581 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 550.581 * * [simplify]: iters left: 6 (19 enodes) 550.586 * * [simplify]: iters left: 5 (76 enodes) 550.597 * * [simplify]: iters left: 4 (115 enodes) 550.617 * * [simplify]: iters left: 3 (241 enodes) 550.671 * * [simplify]: iters left: 2 (477 enodes) 550.800 * * [simplify]: Extracting #0: cost 1 inf + 0 550.800 * * [simplify]: Extracting #1: cost 24 inf + 0 550.800 * * [simplify]: Extracting #2: cost 71 inf + 1 550.801 * * [simplify]: Extracting #3: cost 107 inf + 2 550.801 * * [simplify]: Extracting #4: cost 100 inf + 760 550.804 * * [simplify]: Extracting #5: cost 35 inf + 17065 550.812 * * [simplify]: Extracting #6: cost 1 inf + 27373 550.820 * * [simplify]: Extracting #7: cost 0 inf + 27726 550.829 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 550.829 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))))) 550.829 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)))) 550.829 * * [simplify]: iters left: 6 (17 enodes) 550.834 * * [simplify]: iters left: 5 (68 enodes) 550.844 * * [simplify]: iters left: 4 (101 enodes) 550.861 * * [simplify]: iters left: 3 (206 enodes) 550.906 * * [simplify]: iters left: 2 (407 enodes) 551.014 * * [simplify]: Extracting #0: cost 1 inf + 0 551.014 * * [simplify]: Extracting #1: cost 0 inf + 1 551.014 * [simplify]: Simplified to 0 551.014 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 551.014 * * * * [progress]: [ 1052 / 2246 ] simplifiying candidate # 551.014 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 551.014 * * [simplify]: iters left: 6 (20 enodes) 551.020 * * [simplify]: iters left: 5 (78 enodes) 551.034 * * [simplify]: iters left: 4 (148 enodes) 551.063 * * [simplify]: iters left: 3 (306 enodes) 551.142 * * [simplify]: Extracting #0: cost 1 inf + 0 551.142 * * [simplify]: Extracting #1: cost 15 inf + 0 551.142 * * [simplify]: Extracting #2: cost 76 inf + 0 551.143 * * [simplify]: Extracting #3: cost 119 inf + 2 551.143 * * [simplify]: Extracting #4: cost 120 inf + 166 551.145 * * [simplify]: Extracting #5: cost 114 inf + 833 551.146 * * [simplify]: Extracting #6: cost 97 inf + 3793 551.150 * * [simplify]: Extracting #7: cost 34 inf + 23241 551.158 * * [simplify]: Extracting #8: cost 3 inf + 35060 551.167 * * [simplify]: Extracting #9: cost 0 inf + 36525 551.176 * [simplify]: Simplified to (+ (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 551.176 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ (/ (/ -1/2 (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))))) 551.177 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1))) 551.177 * * [simplify]: iters left: 6 (16 enodes) 551.181 * * [simplify]: iters left: 5 (63 enodes) 551.191 * * [simplify]: iters left: 4 (113 enodes) 551.212 * * [simplify]: iters left: 3 (256 enodes) 551.278 * * [simplify]: Extracting #0: cost 1 inf + 0 551.278 * * [simplify]: Extracting #1: cost 0 inf + 1 551.278 * [simplify]: Simplified to 0 551.278 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 0))) 551.278 * * * * [progress]: [ 1053 / 2246 ] simplifiying candidate # 551.278 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 551.278 * * [simplify]: iters left: 6 (22 enodes) 551.285 * * [simplify]: iters left: 5 (86 enodes) 551.297 * * [simplify]: iters left: 4 (161 enodes) 551.328 * * [simplify]: iters left: 3 (372 enodes) 551.434 * * [simplify]: Extracting #0: cost 1 inf + 0 551.434 * * [simplify]: Extracting #1: cost 12 inf + 0 551.434 * * [simplify]: Extracting #2: cost 102 inf + 0 551.435 * * [simplify]: Extracting #3: cost 187 inf + 125 551.436 * * [simplify]: Extracting #4: cost 177 inf + 1318 551.437 * * [simplify]: Extracting #5: cost 156 inf + 7074 551.450 * * [simplify]: Extracting #6: cost 41 inf + 57788 551.469 * * [simplify]: Extracting #7: cost 2 inf + 76130 551.488 * * [simplify]: Extracting #8: cost 0 inf + 77166 551.506 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 551.507 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 551.507 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 551.507 * * [simplify]: iters left: 6 (18 enodes) 551.512 * * [simplify]: iters left: 5 (71 enodes) 551.523 * * [simplify]: iters left: 4 (135 enodes) 551.551 * * [simplify]: iters left: 3 (317 enodes) 551.643 * * [simplify]: Extracting #0: cost 1 inf + 0 551.643 * * [simplify]: Extracting #1: cost 0 inf + 1 551.643 * [simplify]: Simplified to 0 551.643 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 551.643 * * * * [progress]: [ 1054 / 2246 ] simplifiying candidate # 551.644 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 551.644 * * [simplify]: iters left: 6 (21 enodes) 551.650 * * [simplify]: iters left: 5 (81 enodes) 551.661 * * [simplify]: iters left: 4 (136 enodes) 551.685 * * [simplify]: iters left: 3 (267 enodes) 551.743 * * [simplify]: iters left: 2 (470 enodes) 551.865 * * [simplify]: Extracting #0: cost 1 inf + 0 551.865 * * [simplify]: Extracting #1: cost 27 inf + 0 551.866 * * [simplify]: Extracting #2: cost 76 inf + 1 551.866 * * [simplify]: Extracting #3: cost 107 inf + 3 551.867 * * [simplify]: Extracting #4: cost 102 inf + 445 551.868 * * [simplify]: Extracting #5: cost 84 inf + 2864 551.871 * * [simplify]: Extracting #6: cost 29 inf + 20019 551.880 * * [simplify]: Extracting #7: cost 2 inf + 29866 551.889 * * [simplify]: Extracting #8: cost 0 inf + 30540 551.898 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 551.898 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 551.898 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 551.898 * * [simplify]: iters left: 6 (17 enodes) 551.903 * * [simplify]: iters left: 5 (66 enodes) 551.913 * * [simplify]: iters left: 4 (111 enodes) 551.934 * * [simplify]: iters left: 3 (224 enodes) 551.982 * * [simplify]: iters left: 2 (415 enodes) 552.078 * * [simplify]: Extracting #0: cost 1 inf + 0 552.078 * * [simplify]: Extracting #1: cost 0 inf + 1 552.078 * [simplify]: Simplified to 0 552.078 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 552.078 * * * * [progress]: [ 1055 / 2246 ] simplifiying candidate # 552.078 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 552.078 * * [simplify]: iters left: 6 (20 enodes) 552.084 * * [simplify]: iters left: 5 (72 enodes) 552.094 * * [simplify]: iters left: 4 (128 enodes) 552.118 * * [simplify]: iters left: 3 (240 enodes) 552.159 * * [simplify]: iters left: 2 (375 enodes) 552.231 * * [simplify]: iters left: 1 (487 enodes) 552.311 * * [simplify]: Extracting #0: cost 1 inf + 0 552.311 * * [simplify]: Extracting #1: cost 21 inf + 0 552.311 * * [simplify]: Extracting #2: cost 54 inf + 1 552.312 * * [simplify]: Extracting #3: cost 76 inf + 3 552.312 * * [simplify]: Extracting #4: cost 69 inf + 625 552.313 * * [simplify]: Extracting #5: cost 52 inf + 2920 552.316 * * [simplify]: Extracting #6: cost 11 inf + 14770 552.321 * * [simplify]: Extracting #7: cost 0 inf + 18499 552.326 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 552.326 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))))) 552.326 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1))) 552.326 * * [simplify]: iters left: 6 (16 enodes) 552.330 * * [simplify]: iters left: 5 (58 enodes) 552.341 * * [simplify]: iters left: 4 (106 enodes) 552.358 * * [simplify]: iters left: 3 (186 enodes) 552.396 * * [simplify]: iters left: 2 (342 enodes) 552.466 * * [simplify]: iters left: 1 (486 enodes) 552.564 * * [simplify]: Extracting #0: cost 1 inf + 0 552.564 * * [simplify]: Extracting #1: cost 0 inf + 1 552.565 * [simplify]: Simplified to 0 552.565 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 552.565 * * * * [progress]: [ 1056 / 2246 ] simplifiying candidate # 552.565 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 552.565 * * [simplify]: iters left: 6 (19 enodes) 552.571 * * [simplify]: iters left: 5 (72 enodes) 552.581 * * [simplify]: iters left: 4 (118 enodes) 552.600 * * [simplify]: iters left: 3 (205 enodes) 552.633 * * [simplify]: iters left: 2 (322 enodes) 552.703 * * [simplify]: iters left: 1 (470 enodes) 552.812 * * [simplify]: Extracting #0: cost 1 inf + 0 552.812 * * [simplify]: Extracting #1: cost 32 inf + 0 552.812 * * [simplify]: Extracting #2: cost 69 inf + 1 552.813 * * [simplify]: Extracting #3: cost 85 inf + 44 552.813 * * [simplify]: Extracting #4: cost 77 inf + 1158 552.816 * * [simplify]: Extracting #5: cost 30 inf + 12112 552.821 * * [simplify]: Extracting #6: cost 7 inf + 18698 552.827 * * [simplify]: Extracting #7: cost 0 inf + 21969 552.834 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 552.834 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))))) 552.834 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1)))) 552.834 * * [simplify]: iters left: 6 (17 enodes) 552.840 * * [simplify]: iters left: 5 (66 enodes) 552.851 * * [simplify]: iters left: 4 (101 enodes) 552.865 * * [simplify]: iters left: 3 (170 enodes) 552.893 * * [simplify]: iters left: 2 (266 enodes) 552.943 * * [simplify]: iters left: 1 (380 enodes) 553.026 * * [simplify]: Extracting #0: cost 1 inf + 0 553.026 * * [simplify]: Extracting #1: cost 0 inf + 1 553.026 * [simplify]: Simplified to 0 553.026 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 0))) 553.026 * * * * [progress]: [ 1057 / 2246 ] simplifiying candidate # 553.026 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 553.026 * * [simplify]: iters left: 6 (19 enodes) 553.032 * * [simplify]: iters left: 5 (72 enodes) 553.042 * * [simplify]: iters left: 4 (118 enodes) 553.061 * * [simplify]: iters left: 3 (205 enodes) 553.094 * * [simplify]: iters left: 2 (322 enodes) 553.164 * * [simplify]: iters left: 1 (470 enodes) 553.272 * * [simplify]: Extracting #0: cost 1 inf + 0 553.272 * * [simplify]: Extracting #1: cost 32 inf + 0 553.273 * * [simplify]: Extracting #2: cost 69 inf + 1 553.273 * * [simplify]: Extracting #3: cost 85 inf + 44 553.274 * * [simplify]: Extracting #4: cost 77 inf + 1158 553.277 * * [simplify]: Extracting #5: cost 30 inf + 12112 553.282 * * [simplify]: Extracting #6: cost 7 inf + 18698 553.288 * * [simplify]: Extracting #7: cost 0 inf + 21969 553.294 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 553.294 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))))) 553.295 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1)))) 553.295 * * [simplify]: iters left: 6 (17 enodes) 553.300 * * [simplify]: iters left: 5 (66 enodes) 553.309 * * [simplify]: iters left: 4 (101 enodes) 553.326 * * [simplify]: iters left: 3 (170 enodes) 553.354 * * [simplify]: iters left: 2 (266 enodes) 553.403 * * [simplify]: iters left: 1 (380 enodes) 553.484 * * [simplify]: Extracting #0: cost 1 inf + 0 553.484 * * [simplify]: Extracting #1: cost 0 inf + 1 553.484 * [simplify]: Simplified to 0 553.484 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 0))) 553.485 * * * * [progress]: [ 1058 / 2246 ] simplifiying candidate # 553.485 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 553.485 * * [simplify]: iters left: 6 (20 enodes) 553.492 * * [simplify]: iters left: 5 (72 enodes) 553.502 * * [simplify]: iters left: 4 (128 enodes) 553.524 * * [simplify]: iters left: 3 (240 enodes) 553.567 * * [simplify]: iters left: 2 (375 enodes) 553.638 * * [simplify]: iters left: 1 (487 enodes) 553.720 * * [simplify]: Extracting #0: cost 1 inf + 0 553.720 * * [simplify]: Extracting #1: cost 21 inf + 0 553.720 * * [simplify]: Extracting #2: cost 54 inf + 1 553.721 * * [simplify]: Extracting #3: cost 76 inf + 3 553.721 * * [simplify]: Extracting #4: cost 69 inf + 625 553.722 * * [simplify]: Extracting #5: cost 52 inf + 2920 553.725 * * [simplify]: Extracting #6: cost 11 inf + 14770 553.730 * * [simplify]: Extracting #7: cost 0 inf + 18499 553.735 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 553.735 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))))) 553.735 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1))) 553.735 * * [simplify]: iters left: 6 (16 enodes) 553.739 * * [simplify]: iters left: 5 (58 enodes) 553.748 * * [simplify]: iters left: 4 (106 enodes) 553.765 * * [simplify]: iters left: 3 (186 enodes) 553.804 * * [simplify]: iters left: 2 (342 enodes) 553.874 * * [simplify]: iters left: 1 (486 enodes) 553.973 * * [simplify]: Extracting #0: cost 1 inf + 0 553.973 * * [simplify]: Extracting #1: cost 0 inf + 1 553.973 * [simplify]: Simplified to 0 553.973 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 553.973 * * * * [progress]: [ 1059 / 2246 ] simplifiying candidate # 553.973 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 553.973 * * [simplify]: iters left: 6 (24 enodes) 553.980 * * [simplify]: iters left: 5 (96 enodes) 553.995 * * [simplify]: iters left: 4 (200 enodes) 554.039 * * [simplify]: Extracting #0: cost 1 inf + 0 554.040 * * [simplify]: Extracting #1: cost 11 inf + 0 554.040 * * [simplify]: Extracting #2: cost 101 inf + 0 554.040 * * [simplify]: Extracting #3: cost 171 inf + 45 554.041 * * [simplify]: Extracting #4: cost 174 inf + 86 554.041 * * [simplify]: Extracting #5: cost 175 inf + 87 554.042 * * [simplify]: Extracting #6: cost 173 inf + 299 554.043 * * [simplify]: Extracting #7: cost 154 inf + 3915 554.046 * * [simplify]: Extracting #8: cost 99 inf + 23982 554.059 * * [simplify]: Extracting #9: cost 7 inf + 72017 554.073 * * [simplify]: Extracting #10: cost 0 inf + 74468 554.089 * * [simplify]: Extracting #11: cost 0 inf + 74028 554.104 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))))) 554.104 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 554.104 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 554.105 * * [simplify]: iters left: 6 (19 enodes) 554.109 * * [simplify]: iters left: 5 (78 enodes) 554.122 * * [simplify]: iters left: 4 (164 enodes) 554.161 * * [simplify]: iters left: 3 (469 enodes) 554.410 * * [simplify]: Extracting #0: cost 1 inf + 0 554.410 * * [simplify]: Extracting #1: cost 0 inf + 1 554.410 * [simplify]: Simplified to 0 554.410 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 554.410 * * * * [progress]: [ 1060 / 2246 ] simplifiying candidate # 554.411 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 554.411 * * [simplify]: iters left: 6 (23 enodes) 554.417 * * [simplify]: iters left: 5 (91 enodes) 554.431 * * [simplify]: iters left: 4 (170 enodes) 554.466 * * [simplify]: iters left: 3 (396 enodes) 554.606 * * [simplify]: Extracting #0: cost 1 inf + 0 554.606 * * [simplify]: Extracting #1: cost 11 inf + 0 554.606 * * [simplify]: Extracting #2: cost 129 inf + 0 554.607 * * [simplify]: Extracting #3: cost 234 inf + 45 554.608 * * [simplify]: Extracting #4: cost 236 inf + 168 554.609 * * [simplify]: Extracting #5: cost 222 inf + 2953 554.611 * * [simplify]: Extracting #6: cost 186 inf + 11008 554.615 * * [simplify]: Extracting #7: cost 153 inf + 23170 554.634 * * [simplify]: Extracting #8: cost 36 inf + 74089 554.656 * * [simplify]: Extracting #9: cost 0 inf + 90391 554.679 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x)))) 554.679 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x)))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 554.679 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 554.679 * * [simplify]: iters left: 6 (18 enodes) 554.683 * * [simplify]: iters left: 5 (73 enodes) 554.695 * * [simplify]: iters left: 4 (136 enodes) 554.723 * * [simplify]: iters left: 3 (336 enodes) 554.851 * * [simplify]: Extracting #0: cost 1 inf + 0 554.851 * * [simplify]: Extracting #1: cost 0 inf + 1 554.851 * [simplify]: Simplified to 0 554.851 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 554.851 * * * * [progress]: [ 1061 / 2246 ] simplifiying candidate # 554.852 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 554.852 * * [simplify]: iters left: 6 (22 enodes) 554.858 * * [simplify]: iters left: 5 (86 enodes) 554.874 * * [simplify]: iters left: 4 (163 enodes) 554.907 * * [simplify]: iters left: 3 (369 enodes) 555.040 * * [simplify]: Extracting #0: cost 1 inf + 0 555.040 * * [simplify]: Extracting #1: cost 11 inf + 0 555.040 * * [simplify]: Extracting #2: cost 137 inf + 0 555.041 * * [simplify]: Extracting #3: cost 209 inf + 209 555.042 * * [simplify]: Extracting #4: cost 210 inf + 414 555.043 * * [simplify]: Extracting #5: cost 194 inf + 3553 555.047 * * [simplify]: Extracting #6: cost 118 inf + 26010 555.061 * * [simplify]: Extracting #7: cost 23 inf + 60749 555.077 * * [simplify]: Extracting #8: cost 0 inf + 69571 555.092 * * [simplify]: Extracting #9: cost 0 inf + 69471 555.110 * [simplify]: Simplified to (+ (/ (/ (/ (/ -1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 555.110 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ (/ (/ (/ -1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 555.110 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 555.110 * * [simplify]: iters left: 6 (17 enodes) 555.114 * * [simplify]: iters left: 5 (68 enodes) 555.125 * * [simplify]: iters left: 4 (127 enodes) 555.151 * * [simplify]: iters left: 3 (292 enodes) 555.253 * * [simplify]: Extracting #0: cost 1 inf + 0 555.253 * * [simplify]: Extracting #1: cost 0 inf + 1 555.253 * [simplify]: Simplified to 0 555.253 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 555.253 * * * * [progress]: [ 1062 / 2246 ] simplifiying candidate # 555.253 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 555.254 * * [simplify]: iters left: 6 (21 enodes) 555.259 * * [simplify]: iters left: 5 (84 enodes) 555.273 * * [simplify]: iters left: 4 (137 enodes) 555.299 * * [simplify]: iters left: 3 (299 enodes) 555.390 * * [simplify]: Extracting #0: cost 1 inf + 0 555.390 * * [simplify]: Extracting #1: cost 14 inf + 0 555.390 * * [simplify]: Extracting #2: cost 101 inf + 0 555.392 * * [simplify]: Extracting #3: cost 158 inf + 209 555.393 * * [simplify]: Extracting #4: cost 160 inf + 332 555.393 * * [simplify]: Extracting #5: cost 160 inf + 390 555.394 * * [simplify]: Extracting #6: cost 126 inf + 7464 555.401 * * [simplify]: Extracting #7: cost 31 inf + 38488 555.412 * * [simplify]: Extracting #8: cost 0 inf + 50850 555.422 * [simplify]: Simplified to (fma (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 555.422 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 555.423 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 555.423 * * [simplify]: iters left: 6 (18 enodes) 555.428 * * [simplify]: iters left: 5 (73 enodes) 555.439 * * [simplify]: iters left: 4 (112 enodes) 555.458 * * [simplify]: iters left: 3 (236 enodes) 555.528 * * [simplify]: Extracting #0: cost 1 inf + 0 555.528 * * [simplify]: Extracting #1: cost 20 inf + 0 555.528 * * [simplify]: Extracting #2: cost 95 inf + 1 555.528 * * [simplify]: Extracting #3: cost 118 inf + 4 555.529 * * [simplify]: Extracting #4: cost 111 inf + 1145 555.530 * * [simplify]: Extracting #5: cost 86 inf + 6974 555.532 * * [simplify]: Extracting #6: cost 75 inf + 9748 555.534 * * [simplify]: Extracting #7: cost 70 inf + 10597 555.539 * * [simplify]: Extracting #8: cost 17 inf + 29887 555.547 * * [simplify]: Extracting #9: cost 0 inf + 36382 555.556 * * [simplify]: Extracting #10: cost 0 inf + 36332 555.565 * [simplify]: Simplified to (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 555.565 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) 555.565 * * * * [progress]: [ 1063 / 2246 ] simplifiying candidate # 555.565 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 555.565 * * [simplify]: iters left: 6 (21 enodes) 555.571 * * [simplify]: iters left: 5 (84 enodes) 555.585 * * [simplify]: iters left: 4 (137 enodes) 555.871 * * [simplify]: iters left: 3 (299 enodes) 555.962 * * [simplify]: Extracting #0: cost 1 inf + 0 555.963 * * [simplify]: Extracting #1: cost 14 inf + 0 555.963 * * [simplify]: Extracting #2: cost 101 inf + 0 555.963 * * [simplify]: Extracting #3: cost 158 inf + 209 555.964 * * [simplify]: Extracting #4: cost 160 inf + 332 555.966 * * [simplify]: Extracting #5: cost 160 inf + 390 555.967 * * [simplify]: Extracting #6: cost 126 inf + 7464 555.974 * * [simplify]: Extracting #7: cost 31 inf + 38488 555.985 * * [simplify]: Extracting #8: cost 0 inf + 50850 555.995 * [simplify]: Simplified to (fma (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 555.995 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ -1 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 555.996 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 555.996 * * [simplify]: iters left: 6 (18 enodes) 556.001 * * [simplify]: iters left: 5 (73 enodes) 556.012 * * [simplify]: iters left: 4 (112 enodes) 556.031 * * [simplify]: iters left: 3 (236 enodes) 556.101 * * [simplify]: Extracting #0: cost 1 inf + 0 556.101 * * [simplify]: Extracting #1: cost 20 inf + 0 556.101 * * [simplify]: Extracting #2: cost 95 inf + 1 556.102 * * [simplify]: Extracting #3: cost 118 inf + 4 556.102 * * [simplify]: Extracting #4: cost 111 inf + 1145 556.103 * * [simplify]: Extracting #5: cost 86 inf + 6974 556.105 * * [simplify]: Extracting #6: cost 75 inf + 9748 556.107 * * [simplify]: Extracting #7: cost 70 inf + 10597 556.112 * * [simplify]: Extracting #8: cost 17 inf + 29887 556.121 * * [simplify]: Extracting #9: cost 0 inf + 36382 556.130 * * [simplify]: Extracting #10: cost 0 inf + 36332 556.139 * [simplify]: Simplified to (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 556.139 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) 556.139 * * * * [progress]: [ 1064 / 2246 ] simplifiying candidate # 556.139 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 556.139 * * [simplify]: iters left: 6 (22 enodes) 556.146 * * [simplify]: iters left: 5 (86 enodes) 556.159 * * [simplify]: iters left: 4 (163 enodes) 556.194 * * [simplify]: iters left: 3 (369 enodes) 556.328 * * [simplify]: Extracting #0: cost 1 inf + 0 556.328 * * [simplify]: Extracting #1: cost 11 inf + 0 556.328 * * [simplify]: Extracting #2: cost 137 inf + 0 556.329 * * [simplify]: Extracting #3: cost 209 inf + 209 556.330 * * [simplify]: Extracting #4: cost 210 inf + 414 556.330 * * [simplify]: Extracting #5: cost 194 inf + 3553 556.335 * * [simplify]: Extracting #6: cost 118 inf + 26010 556.349 * * [simplify]: Extracting #7: cost 23 inf + 60749 556.365 * * [simplify]: Extracting #8: cost 0 inf + 69571 556.380 * * [simplify]: Extracting #9: cost 0 inf + 69471 556.396 * [simplify]: Simplified to (+ (/ (/ (/ (/ -1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 556.396 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ (/ (/ (/ -1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 556.397 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 556.397 * * [simplify]: iters left: 6 (17 enodes) 556.401 * * [simplify]: iters left: 5 (68 enodes) 556.414 * * [simplify]: iters left: 4 (127 enodes) 556.440 * * [simplify]: iters left: 3 (292 enodes) 556.542 * * [simplify]: Extracting #0: cost 1 inf + 0 556.542 * * [simplify]: Extracting #1: cost 0 inf + 1 556.542 * [simplify]: Simplified to 0 556.542 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 556.542 * * * * [progress]: [ 1065 / 2246 ] simplifiying candidate # 556.543 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 556.543 * * [simplify]: iters left: 6 (23 enodes) 556.549 * * [simplify]: iters left: 5 (91 enodes) 556.563 * * [simplify]: iters left: 4 (185 enodes) 556.603 * * [simplify]: iters left: 3 (428 enodes) 556.759 * * [simplify]: Extracting #0: cost 1 inf + 0 556.759 * * [simplify]: Extracting #1: cost 11 inf + 0 556.759 * * [simplify]: Extracting #2: cost 151 inf + 0 556.760 * * [simplify]: Extracting #3: cost 276 inf + 45 556.761 * * [simplify]: Extracting #4: cost 277 inf + 169 556.763 * * [simplify]: Extracting #5: cost 263 inf + 2392 556.765 * * [simplify]: Extracting #6: cost 247 inf + 5052 556.767 * * [simplify]: Extracting #7: cost 228 inf + 11076 556.787 * * [simplify]: Extracting #8: cost 53 inf + 90485 556.819 * * [simplify]: Extracting #9: cost 0 inf + 116382 556.849 * * [simplify]: Extracting #10: cost 0 inf + 116302 556.879 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x)))))) 556.879 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (hypot 1 x)))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 556.879 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 556.879 * * [simplify]: iters left: 6 (18 enodes) 556.884 * * [simplify]: iters left: 5 (73 enodes) 556.896 * * [simplify]: iters left: 4 (149 enodes) 556.928 * * [simplify]: iters left: 3 (359 enodes) 557.073 * * [simplify]: Extracting #0: cost 1 inf + 0 557.073 * * [simplify]: Extracting #1: cost 0 inf + 1 557.073 * [simplify]: Simplified to 0 557.073 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 557.073 * * * * [progress]: [ 1066 / 2246 ] simplifiying candidate # 557.074 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 557.074 * * [simplify]: iters left: 6 (22 enodes) 557.080 * * [simplify]: iters left: 5 (85 enodes) 557.093 * * [simplify]: iters left: 4 (155 enodes) 557.123 * * [simplify]: iters left: 3 (317 enodes) 557.218 * * [simplify]: Extracting #0: cost 1 inf + 0 557.218 * * [simplify]: Extracting #1: cost 11 inf + 0 557.219 * * [simplify]: Extracting #2: cost 112 inf + 0 557.219 * * [simplify]: Extracting #3: cost 175 inf + 86 557.220 * * [simplify]: Extracting #4: cost 178 inf + 168 557.221 * * [simplify]: Extracting #5: cost 168 inf + 1561 557.224 * * [simplify]: Extracting #6: cost 149 inf + 4876 557.227 * * [simplify]: Extracting #7: cost 115 inf + 15629 557.239 * * [simplify]: Extracting #8: cost 23 inf + 51290 557.254 * * [simplify]: Extracting #9: cost 0 inf + 60420 557.270 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (* (sqrt (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 557.270 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (* (sqrt (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 557.270 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 557.270 * * [simplify]: iters left: 6 (17 enodes) 557.275 * * [simplify]: iters left: 5 (67 enodes) 557.285 * * [simplify]: iters left: 4 (121 enodes) 557.309 * * [simplify]: iters left: 3 (261 enodes) 557.393 * * [simplify]: Extracting #0: cost 1 inf + 0 557.393 * * [simplify]: Extracting #1: cost 0 inf + 1 557.393 * [simplify]: Simplified to 0 557.393 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (* (sqrt (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 0))) 557.394 * * * * [progress]: [ 1067 / 2246 ] simplifiying candidate # 557.394 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 557.394 * * [simplify]: iters left: 6 (21 enodes) 557.400 * * [simplify]: iters left: 5 (81 enodes) 557.414 * * [simplify]: iters left: 4 (143 enodes) 557.442 * * [simplify]: iters left: 3 (293 enodes) 557.537 * * [simplify]: Extracting #0: cost 1 inf + 0 557.537 * * [simplify]: Extracting #1: cost 11 inf + 0 557.537 * * [simplify]: Extracting #2: cost 115 inf + 0 557.537 * * [simplify]: Extracting #3: cost 145 inf + 250 557.538 * * [simplify]: Extracting #4: cost 147 inf + 414 557.539 * * [simplify]: Extracting #5: cost 147 inf + 472 557.540 * * [simplify]: Extracting #6: cost 127 inf + 3564 557.541 * * [simplify]: Extracting #7: cost 107 inf + 7118 557.544 * * [simplify]: Extracting #8: cost 80 inf + 15502 557.553 * * [simplify]: Extracting #9: cost 23 inf + 34112 557.563 * * [simplify]: Extracting #10: cost 0 inf + 41549 557.573 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) 557.573 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))))) 557.574 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1))) 557.574 * * [simplify]: iters left: 6 (16 enodes) 557.578 * * [simplify]: iters left: 5 (63 enodes) 557.588 * * [simplify]: iters left: 4 (109 enodes) 557.612 * * [simplify]: iters left: 3 (230 enodes) 557.682 * * [simplify]: Extracting #0: cost 1 inf + 0 557.682 * * [simplify]: Extracting #1: cost 0 inf + 1 557.682 * [simplify]: Simplified to 0 557.682 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 0))) 557.682 * * * * [progress]: [ 1068 / 2246 ] simplifiying candidate # 557.682 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 557.682 * * [simplify]: iters left: 6 (20 enodes) 557.688 * * [simplify]: iters left: 5 (79 enodes) 557.701 * * [simplify]: iters left: 4 (126 enodes) 557.726 * * [simplify]: iters left: 3 (265 enodes) 557.795 * * [simplify]: Extracting #0: cost 1 inf + 0 557.795 * * [simplify]: Extracting #1: cost 11 inf + 0 557.796 * * [simplify]: Extracting #2: cost 93 inf + 0 557.796 * * [simplify]: Extracting #3: cost 123 inf + 168 557.796 * * [simplify]: Extracting #4: cost 125 inf + 332 557.797 * * [simplify]: Extracting #5: cost 125 inf + 390 557.798 * * [simplify]: Extracting #6: cost 105 inf + 3561 557.802 * * [simplify]: Extracting #7: cost 26 inf + 26324 557.810 * * [simplify]: Extracting #8: cost 1 inf + 34224 557.818 * * [simplify]: Extracting #9: cost 0 inf + 34608 557.825 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) 557.825 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))))) 557.826 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)))) 557.826 * * [simplify]: iters left: 6 (17 enodes) 557.831 * * [simplify]: iters left: 5 (68 enodes) 557.844 * * [simplify]: iters left: 4 (102 enodes) 557.861 * * [simplify]: iters left: 3 (202 enodes) 557.912 * * [simplify]: iters left: 2 (433 enodes) 558.085 * * [simplify]: Extracting #0: cost 1 inf + 0 558.085 * * [simplify]: Extracting #1: cost 0 inf + 1 558.085 * [simplify]: Simplified to 0 558.085 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 558.085 * * * * [progress]: [ 1069 / 2246 ] simplifiying candidate # 558.085 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 558.086 * * [simplify]: iters left: 6 (20 enodes) 558.091 * * [simplify]: iters left: 5 (79 enodes) 558.104 * * [simplify]: iters left: 4 (126 enodes) 558.129 * * [simplify]: iters left: 3 (265 enodes) 558.198 * * [simplify]: Extracting #0: cost 1 inf + 0 558.198 * * [simplify]: Extracting #1: cost 11 inf + 0 558.198 * * [simplify]: Extracting #2: cost 93 inf + 0 558.199 * * [simplify]: Extracting #3: cost 123 inf + 168 558.199 * * [simplify]: Extracting #4: cost 125 inf + 332 558.200 * * [simplify]: Extracting #5: cost 125 inf + 390 558.200 * * [simplify]: Extracting #6: cost 105 inf + 3561 558.205 * * [simplify]: Extracting #7: cost 26 inf + 26324 558.213 * * [simplify]: Extracting #8: cost 1 inf + 34224 558.221 * * [simplify]: Extracting #9: cost 0 inf + 34608 558.228 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) 558.228 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))))) 558.229 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)))) 558.229 * * [simplify]: iters left: 6 (17 enodes) 558.234 * * [simplify]: iters left: 5 (68 enodes) 558.246 * * [simplify]: iters left: 4 (102 enodes) 558.263 * * [simplify]: iters left: 3 (202 enodes) 558.314 * * [simplify]: iters left: 2 (433 enodes) 558.488 * * [simplify]: Extracting #0: cost 1 inf + 0 558.488 * * [simplify]: Extracting #1: cost 0 inf + 1 558.488 * [simplify]: Simplified to 0 558.488 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 558.488 * * * * [progress]: [ 1070 / 2246 ] simplifiying candidate # 558.488 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 558.488 * * [simplify]: iters left: 6 (21 enodes) 558.494 * * [simplify]: iters left: 5 (81 enodes) 558.507 * * [simplify]: iters left: 4 (143 enodes) 558.537 * * [simplify]: iters left: 3 (293 enodes) 558.631 * * [simplify]: Extracting #0: cost 1 inf + 0 558.632 * * [simplify]: Extracting #1: cost 11 inf + 0 558.632 * * [simplify]: Extracting #2: cost 115 inf + 0 558.632 * * [simplify]: Extracting #3: cost 145 inf + 250 558.633 * * [simplify]: Extracting #4: cost 147 inf + 414 558.634 * * [simplify]: Extracting #5: cost 147 inf + 472 558.635 * * [simplify]: Extracting #6: cost 127 inf + 3564 558.636 * * [simplify]: Extracting #7: cost 107 inf + 7118 558.640 * * [simplify]: Extracting #8: cost 80 inf + 15502 558.648 * * [simplify]: Extracting #9: cost 23 inf + 34112 558.658 * * [simplify]: Extracting #10: cost 0 inf + 41549 558.668 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) 558.668 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))))) 558.669 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1))) 558.669 * * [simplify]: iters left: 6 (16 enodes) 558.673 * * [simplify]: iters left: 5 (63 enodes) 558.683 * * [simplify]: iters left: 4 (109 enodes) 558.707 * * [simplify]: iters left: 3 (230 enodes) 558.776 * * [simplify]: Extracting #0: cost 1 inf + 0 558.777 * * [simplify]: Extracting #1: cost 0 inf + 1 558.777 * [simplify]: Simplified to 0 558.777 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 0))) 558.777 * * * * [progress]: [ 1071 / 2246 ] simplifiying candidate # 558.777 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 558.777 * * [simplify]: iters left: 6 (21 enodes) 558.783 * * [simplify]: iters left: 5 (81 enodes) 558.796 * * [simplify]: iters left: 4 (157 enodes) 558.829 * * [simplify]: iters left: 3 (343 enodes) 558.939 * * [simplify]: Extracting #0: cost 1 inf + 0 558.940 * * [simplify]: Extracting #1: cost 11 inf + 0 558.940 * * [simplify]: Extracting #2: cost 114 inf + 0 558.940 * * [simplify]: Extracting #3: cost 164 inf + 168 558.941 * * [simplify]: Extracting #4: cost 163 inf + 324 558.942 * * [simplify]: Extracting #5: cost 155 inf + 1364 558.944 * * [simplify]: Extracting #6: cost 117 inf + 14779 558.956 * * [simplify]: Extracting #7: cost 20 inf + 54008 558.971 * * [simplify]: Extracting #8: cost 0 inf + 62736 558.987 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 558.987 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 558.987 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 558.987 * * [simplify]: iters left: 6 (16 enodes) 558.993 * * [simplify]: iters left: 5 (63 enodes) 559.003 * * [simplify]: iters left: 4 (123 enodes) 559.029 * * [simplify]: iters left: 3 (281 enodes) 559.127 * * [simplify]: Extracting #0: cost 1 inf + 0 559.127 * * [simplify]: Extracting #1: cost 0 inf + 1 559.127 * [simplify]: Simplified to 0 559.127 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 559.128 * * * * [progress]: [ 1072 / 2246 ] simplifiying candidate # 559.128 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 559.128 * * [simplify]: iters left: 6 (20 enodes) 559.134 * * [simplify]: iters left: 5 (76 enodes) 559.145 * * [simplify]: iters left: 4 (133 enodes) 559.172 * * [simplify]: iters left: 3 (244 enodes) 559.230 * * [simplify]: iters left: 2 (440 enodes) 559.390 * * [simplify]: Extracting #0: cost 1 inf + 0 559.390 * * [simplify]: Extracting #1: cost 35 inf + 0 559.390 * * [simplify]: Extracting #2: cost 112 inf + 44 559.391 * * [simplify]: Extracting #3: cost 137 inf + 333 559.391 * * [simplify]: Extracting #4: cost 133 inf + 709 559.392 * * [simplify]: Extracting #5: cost 116 inf + 2912 559.396 * * [simplify]: Extracting #6: cost 52 inf + 21807 559.406 * * [simplify]: Extracting #7: cost 2 inf + 38571 559.417 * * [simplify]: Extracting #8: cost 0 inf + 39287 559.428 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 559.428 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 559.429 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 559.429 * * [simplify]: iters left: 6 (15 enodes) 559.432 * * [simplify]: iters left: 5 (58 enodes) 559.443 * * [simplify]: iters left: 4 (101 enodes) 559.462 * * [simplify]: iters left: 3 (184 enodes) 559.507 * * [simplify]: iters left: 2 (365 enodes) 559.621 * * [simplify]: Extracting #0: cost 1 inf + 0 559.621 * * [simplify]: Extracting #1: cost 0 inf + 1 559.621 * [simplify]: Simplified to 0 559.621 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 559.621 * * * * [progress]: [ 1073 / 2246 ] simplifiying candidate # 559.621 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 559.621 * * [simplify]: iters left: 6 (19 enodes) 559.627 * * [simplify]: iters left: 5 (70 enodes) 559.637 * * [simplify]: iters left: 4 (94 enodes) 559.651 * * [simplify]: iters left: 3 (135 enodes) 559.671 * * [simplify]: iters left: 2 (184 enodes) 559.703 * * [simplify]: iters left: 1 (333 enodes) 559.822 * * [simplify]: Extracting #0: cost 1 inf + 0 559.822 * * [simplify]: Extracting #1: cost 14 inf + 0 559.822 * * [simplify]: Extracting #2: cost 93 inf + 2 559.822 * * [simplify]: Extracting #3: cost 134 inf + 126 559.823 * * [simplify]: Extracting #4: cost 117 inf + 2105 559.824 * * [simplify]: Extracting #5: cost 82 inf + 7232 559.830 * * [simplify]: Extracting #6: cost 25 inf + 21905 559.838 * * [simplify]: Extracting #7: cost 0 inf + 29658 559.846 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 559.846 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))))) 559.846 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1))) 559.846 * * [simplify]: iters left: 6 (14 enodes) 559.850 * * [simplify]: iters left: 5 (51 enodes) 559.858 * * [simplify]: iters left: 4 (77 enodes) 559.870 * * [simplify]: iters left: 3 (112 enodes) 559.890 * * [simplify]: iters left: 2 (165 enodes) 559.913 * * [simplify]: iters left: 1 (238 enodes) 559.960 * * [simplify]: Extracting #0: cost 1 inf + 0 559.960 * * [simplify]: Extracting #1: cost 0 inf + 1 559.960 * [simplify]: Simplified to 0 559.960 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 559.960 * * * * [progress]: [ 1074 / 2246 ] simplifiying candidate # 559.960 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 559.960 * * [simplify]: iters left: 6 (18 enodes) 559.967 * * [simplify]: iters left: 5 (70 enodes) 559.977 * * [simplify]: iters left: 4 (96 enodes) 559.992 * * [simplify]: iters left: 3 (139 enodes) 560.015 * * [simplify]: iters left: 2 (207 enodes) 560.058 * * [simplify]: iters left: 1 (406 enodes) 560.253 * * [simplify]: Extracting #0: cost 1 inf + 0 560.253 * * [simplify]: Extracting #1: cost 19 inf + 0 560.254 * * [simplify]: Extracting #2: cost 125 inf + 2 560.255 * * [simplify]: Extracting #3: cost 178 inf + 167 560.256 * * [simplify]: Extracting #4: cost 150 inf + 3386 560.260 * * [simplify]: Extracting #5: cost 72 inf + 18954 560.272 * * [simplify]: Extracting #6: cost 6 inf + 37932 560.284 * * [simplify]: Extracting #7: cost 0 inf + 39585 560.295 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 560.295 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))))) 560.296 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1)))) 560.296 * * [simplify]: iters left: 6 (15 enodes) 560.300 * * [simplify]: iters left: 5 (58 enodes) 560.311 * * [simplify]: iters left: 4 (94 enodes) 560.325 * * [simplify]: iters left: 3 (132 enodes) 560.346 * * [simplify]: iters left: 2 (179 enodes) 560.379 * * [simplify]: iters left: 1 (300 enodes) 560.460 * * [simplify]: Extracting #0: cost 1 inf + 0 560.460 * * [simplify]: Extracting #1: cost 0 inf + 1 560.460 * [simplify]: Simplified to 0 560.460 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 0))) 560.460 * * * * [progress]: [ 1075 / 2246 ] simplifiying candidate # 560.461 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 560.461 * * [simplify]: iters left: 6 (18 enodes) 560.467 * * [simplify]: iters left: 5 (70 enodes) 560.478 * * [simplify]: iters left: 4 (96 enodes) 560.493 * * [simplify]: iters left: 3 (139 enodes) 560.517 * * [simplify]: iters left: 2 (207 enodes) 560.559 * * [simplify]: iters left: 1 (406 enodes) 560.754 * * [simplify]: Extracting #0: cost 1 inf + 0 560.754 * * [simplify]: Extracting #1: cost 19 inf + 0 560.755 * * [simplify]: Extracting #2: cost 125 inf + 2 560.755 * * [simplify]: Extracting #3: cost 178 inf + 167 560.757 * * [simplify]: Extracting #4: cost 150 inf + 3386 560.762 * * [simplify]: Extracting #5: cost 72 inf + 18954 560.773 * * [simplify]: Extracting #6: cost 6 inf + 37932 560.784 * * [simplify]: Extracting #7: cost 0 inf + 39585 560.796 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 560.796 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))))) 560.796 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1)))) 560.796 * * [simplify]: iters left: 6 (15 enodes) 560.801 * * [simplify]: iters left: 5 (58 enodes) 560.812 * * [simplify]: iters left: 4 (94 enodes) 560.826 * * [simplify]: iters left: 3 (132 enodes) 560.846 * * [simplify]: iters left: 2 (179 enodes) 560.880 * * [simplify]: iters left: 1 (300 enodes) 560.961 * * [simplify]: Extracting #0: cost 1 inf + 0 560.961 * * [simplify]: Extracting #1: cost 0 inf + 1 560.961 * [simplify]: Simplified to 0 560.961 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 0))) 560.961 * * * * [progress]: [ 1076 / 2246 ] simplifiying candidate # 560.961 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 560.961 * * [simplify]: iters left: 6 (19 enodes) 560.967 * * [simplify]: iters left: 5 (70 enodes) 560.977 * * [simplify]: iters left: 4 (94 enodes) 560.991 * * [simplify]: iters left: 3 (135 enodes) 561.009 * * [simplify]: iters left: 2 (184 enodes) 561.044 * * [simplify]: iters left: 1 (333 enodes) 561.162 * * [simplify]: Extracting #0: cost 1 inf + 0 561.162 * * [simplify]: Extracting #1: cost 14 inf + 0 561.162 * * [simplify]: Extracting #2: cost 93 inf + 2 561.163 * * [simplify]: Extracting #3: cost 134 inf + 126 561.163 * * [simplify]: Extracting #4: cost 117 inf + 2105 561.165 * * [simplify]: Extracting #5: cost 82 inf + 7232 561.170 * * [simplify]: Extracting #6: cost 25 inf + 21905 561.180 * * [simplify]: Extracting #7: cost 0 inf + 29658 561.188 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 561.188 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))))) 561.188 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1))) 561.188 * * [simplify]: iters left: 6 (14 enodes) 561.192 * * [simplify]: iters left: 5 (51 enodes) 561.200 * * [simplify]: iters left: 4 (77 enodes) 561.212 * * [simplify]: iters left: 3 (112 enodes) 561.230 * * [simplify]: iters left: 2 (165 enodes) 561.256 * * [simplify]: iters left: 1 (238 enodes) 561.303 * * [simplify]: Extracting #0: cost 1 inf + 0 561.303 * * [simplify]: Extracting #1: cost 0 inf + 1 561.303 * [simplify]: Simplified to 0 561.303 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 561.303 * * * * [progress]: [ 1077 / 2246 ] simplifiying candidate # 561.303 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 561.304 * * [simplify]: iters left: 6 (20 enodes) 561.309 * * [simplify]: iters left: 5 (80 enodes) 561.322 * * [simplify]: iters left: 4 (152 enodes) 561.352 * * [simplify]: iters left: 3 (318 enodes) 561.447 * * [simplify]: Extracting #0: cost 1 inf + 0 561.447 * * [simplify]: Extracting #1: cost 11 inf + 0 561.447 * * [simplify]: Extracting #2: cost 109 inf + 0 561.448 * * [simplify]: Extracting #3: cost 150 inf + 45 561.448 * * [simplify]: Extracting #4: cost 149 inf + 169 561.449 * * [simplify]: Extracting #5: cost 147 inf + 462 561.450 * * [simplify]: Extracting #6: cost 139 inf + 1324 561.453 * * [simplify]: Extracting #7: cost 86 inf + 20768 561.465 * * [simplify]: Extracting #8: cost 13 inf + 50919 561.479 * * [simplify]: Extracting #9: cost 0 inf + 56603 561.495 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 561.495 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 561.495 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 561.495 * * [simplify]: iters left: 6 (15 enodes) 561.499 * * [simplify]: iters left: 5 (62 enodes) 561.510 * * [simplify]: iters left: 4 (118 enodes) 561.534 * * [simplify]: iters left: 3 (252 enodes) 561.609 * * [simplify]: Extracting #0: cost 1 inf + 0 561.609 * * [simplify]: Extracting #1: cost 0 inf + 1 561.609 * [simplify]: Simplified to 0 561.609 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 561.610 * * * * [progress]: [ 1078 / 2246 ] simplifiying candidate # 561.610 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 561.610 * * [simplify]: iters left: 6 (19 enodes) 561.615 * * [simplify]: iters left: 5 (75 enodes) 561.627 * * [simplify]: iters left: 4 (130 enodes) 561.652 * * [simplify]: iters left: 3 (246 enodes) 561.711 * * [simplify]: iters left: 2 (443 enodes) 561.880 * * [simplify]: Extracting #0: cost 1 inf + 0 561.881 * * [simplify]: Extracting #1: cost 35 inf + 0 561.881 * * [simplify]: Extracting #2: cost 112 inf + 44 561.882 * * [simplify]: Extracting #3: cost 137 inf + 333 561.882 * * [simplify]: Extracting #4: cost 130 inf + 1044 561.883 * * [simplify]: Extracting #5: cost 115 inf + 3010 561.887 * * [simplify]: Extracting #6: cost 53 inf + 21861 561.898 * * [simplify]: Extracting #7: cost 0 inf + 39487 561.908 * * [simplify]: Extracting #8: cost 0 inf + 39247 561.920 * [simplify]: Simplified to (* (/ 1 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- 1/2 (/ 1/2 (hypot 1 x)))) 561.920 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ 1 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- 1/2 (/ 1/2 (hypot 1 x)))) (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 561.920 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 561.920 * * [simplify]: iters left: 6 (14 enodes) 561.924 * * [simplify]: iters left: 5 (57 enodes) 561.933 * * [simplify]: iters left: 4 (98 enodes) 561.953 * * [simplify]: iters left: 3 (181 enodes) 561.997 * * [simplify]: iters left: 2 (360 enodes) 562.115 * * [simplify]: Extracting #0: cost 1 inf + 0 562.115 * * [simplify]: Extracting #1: cost 0 inf + 1 562.115 * [simplify]: Simplified to 0 562.115 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (* (/ 1 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- 1/2 (/ 1/2 (hypot 1 x)))) 0))) 562.115 * * * * [progress]: [ 1079 / 2246 ] simplifiying candidate # 562.116 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 562.116 * * [simplify]: iters left: 6 (18 enodes) 562.121 * * [simplify]: iters left: 5 (69 enodes) 562.132 * * [simplify]: iters left: 4 (93 enodes) 562.146 * * [simplify]: iters left: 3 (134 enodes) 562.164 * * [simplify]: iters left: 2 (183 enodes) 562.199 * * [simplify]: iters left: 1 (333 enodes) 562.319 * * [simplify]: Extracting #0: cost 1 inf + 0 562.319 * * [simplify]: Extracting #1: cost 14 inf + 0 562.319 * * [simplify]: Extracting #2: cost 93 inf + 2 562.320 * * [simplify]: Extracting #3: cost 134 inf + 126 562.320 * * [simplify]: Extracting #4: cost 110 inf + 3361 562.322 * * [simplify]: Extracting #5: cost 74 inf + 8376 562.329 * * [simplify]: Extracting #6: cost 24 inf + 22492 562.337 * * [simplify]: Extracting #7: cost 0 inf + 29708 562.345 * * [simplify]: Extracting #8: cost 0 inf + 29603 562.353 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 562.353 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))))) 562.354 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1))) 562.354 * * [simplify]: iters left: 6 (13 enodes) 562.357 * * [simplify]: iters left: 5 (50 enodes) 562.366 * * [simplify]: iters left: 4 (76 enodes) 562.377 * * [simplify]: iters left: 3 (111 enodes) 562.393 * * [simplify]: iters left: 2 (147 enodes) 562.418 * * [simplify]: iters left: 1 (234 enodes) 562.465 * * [simplify]: Extracting #0: cost 1 inf + 0 562.465 * * [simplify]: Extracting #1: cost 0 inf + 1 562.465 * [simplify]: Simplified to 0 562.465 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 562.465 * * * * [progress]: [ 1080 / 2246 ] simplifiying candidate # 562.465 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 562.465 * * [simplify]: iters left: 6 (17 enodes) 562.472 * * [simplify]: iters left: 5 (69 enodes) 562.482 * * [simplify]: iters left: 4 (95 enodes) 562.497 * * [simplify]: iters left: 3 (138 enodes) 562.518 * * [simplify]: iters left: 2 (206 enodes) 562.562 * * [simplify]: iters left: 1 (405 enodes) 562.756 * * [simplify]: Extracting #0: cost 1 inf + 0 562.756 * * [simplify]: Extracting #1: cost 19 inf + 0 562.756 * * [simplify]: Extracting #2: cost 125 inf + 2 562.757 * * [simplify]: Extracting #3: cost 177 inf + 330 562.758 * * [simplify]: Extracting #4: cost 144 inf + 4528 562.762 * * [simplify]: Extracting #5: cost 74 inf + 19152 562.775 * * [simplify]: Extracting #6: cost 4 inf + 38724 562.787 * * [simplify]: Extracting #7: cost 0 inf + 39585 562.799 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 562.799 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))))) 562.799 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1)))) 562.799 * * [simplify]: iters left: 6 (14 enodes) 562.804 * * [simplify]: iters left: 5 (57 enodes) 562.814 * * [simplify]: iters left: 4 (93 enodes) 562.829 * * [simplify]: iters left: 3 (131 enodes) 562.849 * * [simplify]: iters left: 2 (178 enodes) 562.882 * * [simplify]: iters left: 1 (299 enodes) 562.964 * * [simplify]: Extracting #0: cost 1 inf + 0 562.964 * * [simplify]: Extracting #1: cost 0 inf + 1 562.964 * [simplify]: Simplified to 0 562.964 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 0))) 562.964 * * * * [progress]: [ 1081 / 2246 ] simplifiying candidate # 562.965 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 562.965 * * [simplify]: iters left: 6 (17 enodes) 562.971 * * [simplify]: iters left: 5 (69 enodes) 562.982 * * [simplify]: iters left: 4 (95 enodes) 562.997 * * [simplify]: iters left: 3 (138 enodes) 563.018 * * [simplify]: iters left: 2 (206 enodes) 563.063 * * [simplify]: iters left: 1 (405 enodes) 563.257 * * [simplify]: Extracting #0: cost 1 inf + 0 563.257 * * [simplify]: Extracting #1: cost 19 inf + 0 563.257 * * [simplify]: Extracting #2: cost 125 inf + 2 563.258 * * [simplify]: Extracting #3: cost 177 inf + 330 563.259 * * [simplify]: Extracting #4: cost 144 inf + 4528 563.263 * * [simplify]: Extracting #5: cost 74 inf + 19152 563.276 * * [simplify]: Extracting #6: cost 4 inf + 38724 563.288 * * [simplify]: Extracting #7: cost 0 inf + 39585 563.299 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 563.299 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))))) 563.300 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1)))) 563.300 * * [simplify]: iters left: 6 (14 enodes) 563.304 * * [simplify]: iters left: 5 (57 enodes) 563.315 * * [simplify]: iters left: 4 (93 enodes) 563.329 * * [simplify]: iters left: 3 (131 enodes) 563.350 * * [simplify]: iters left: 2 (178 enodes) 563.383 * * [simplify]: iters left: 1 (299 enodes) 563.465 * * [simplify]: Extracting #0: cost 1 inf + 0 563.465 * * [simplify]: Extracting #1: cost 0 inf + 1 563.465 * [simplify]: Simplified to 0 563.465 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 0))) 563.465 * * * * [progress]: [ 1082 / 2246 ] simplifiying candidate # 563.466 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 563.466 * * [simplify]: iters left: 6 (18 enodes) 563.471 * * [simplify]: iters left: 5 (69 enodes) 563.482 * * [simplify]: iters left: 4 (93 enodes) 563.495 * * [simplify]: iters left: 3 (134 enodes) 563.514 * * [simplify]: iters left: 2 (183 enodes) 563.548 * * [simplify]: iters left: 1 (333 enodes) 563.668 * * [simplify]: Extracting #0: cost 1 inf + 0 563.668 * * [simplify]: Extracting #1: cost 14 inf + 0 563.668 * * [simplify]: Extracting #2: cost 93 inf + 2 563.668 * * [simplify]: Extracting #3: cost 134 inf + 126 563.669 * * [simplify]: Extracting #4: cost 110 inf + 3361 563.671 * * [simplify]: Extracting #5: cost 74 inf + 8376 563.676 * * [simplify]: Extracting #6: cost 24 inf + 22492 563.684 * * [simplify]: Extracting #7: cost 0 inf + 29708 563.694 * * [simplify]: Extracting #8: cost 0 inf + 29603 563.702 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 563.702 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))))) 563.702 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1))) 563.702 * * [simplify]: iters left: 6 (13 enodes) 563.706 * * [simplify]: iters left: 5 (50 enodes) 563.714 * * [simplify]: iters left: 4 (76 enodes) 563.726 * * [simplify]: iters left: 3 (111 enodes) 563.742 * * [simplify]: iters left: 2 (147 enodes) 563.767 * * [simplify]: iters left: 1 (234 enodes) 563.812 * * [simplify]: Extracting #0: cost 1 inf + 0 563.812 * * [simplify]: Extracting #1: cost 0 inf + 1 563.812 * [simplify]: Simplified to 0 563.812 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 563.812 * * * * [progress]: [ 1083 / 2246 ] simplifiying candidate # 563.813 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 563.813 * * [simplify]: iters left: 6 (21 enodes) 563.821 * * [simplify]: iters left: 5 (83 enodes) 563.834 * * [simplify]: iters left: 4 (159 enodes) 563.861 * * [simplify]: iters left: 3 (307 enodes) 563.936 * * [simplify]: Extracting #0: cost 1 inf + 0 563.936 * * [simplify]: Extracting #1: cost 11 inf + 0 563.936 * * [simplify]: Extracting #2: cost 96 inf + 0 563.936 * * [simplify]: Extracting #3: cost 153 inf + 168 563.937 * * [simplify]: Extracting #4: cost 150 inf + 520 563.938 * * [simplify]: Extracting #5: cost 139 inf + 1989 563.940 * * [simplify]: Extracting #6: cost 95 inf + 17113 563.951 * * [simplify]: Extracting #7: cost 10 inf + 51672 563.965 * * [simplify]: Extracting #8: cost 0 inf + 55891 563.980 * * [simplify]: Extracting #9: cost 0 inf + 55889 563.994 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 563.994 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) (fma (- (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 563.994 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 563.994 * * [simplify]: iters left: 6 (16 enodes) 563.998 * * [simplify]: iters left: 5 (65 enodes) 564.009 * * [simplify]: iters left: 4 (125 enodes) 564.033 * * [simplify]: iters left: 3 (242 enodes) 564.089 * * [simplify]: Extracting #0: cost 1 inf + 0 564.089 * * [simplify]: Extracting #1: cost 0 inf + 1 564.089 * [simplify]: Simplified to 0 564.089 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 564.090 * * * * [progress]: [ 1084 / 2246 ] simplifiying candidate # 564.090 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 564.090 * * [simplify]: iters left: 6 (20 enodes) 564.095 * * [simplify]: iters left: 5 (78 enodes) 564.107 * * [simplify]: iters left: 4 (135 enodes) 564.128 * * [simplify]: iters left: 3 (221 enodes) 564.174 * * [simplify]: iters left: 2 (456 enodes) 564.346 * * [simplify]: Extracting #0: cost 1 inf + 0 564.346 * * [simplify]: Extracting #1: cost 11 inf + 0 564.346 * * [simplify]: Extracting #2: cost 78 inf + 0 564.347 * * [simplify]: Extracting #3: cost 118 inf + 4 564.347 * * [simplify]: Extracting #4: cost 112 inf + 674 564.348 * * [simplify]: Extracting #5: cost 98 inf + 2447 564.351 * * [simplify]: Extracting #6: cost 40 inf + 19371 564.361 * * [simplify]: Extracting #7: cost 2 inf + 31513 564.371 * * [simplify]: Extracting #8: cost 0 inf + 32110 564.380 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 564.380 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 564.381 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 564.381 * * [simplify]: iters left: 6 (15 enodes) 564.385 * * [simplify]: iters left: 5 (60 enodes) 564.395 * * [simplify]: iters left: 4 (103 enodes) 564.411 * * [simplify]: iters left: 3 (167 enodes) 564.447 * * [simplify]: iters left: 2 (361 enodes) 564.575 * * [simplify]: Extracting #0: cost 1 inf + 0 564.575 * * [simplify]: Extracting #1: cost 0 inf + 1 564.575 * [simplify]: Simplified to 0 564.575 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 564.576 * * * * [progress]: [ 1085 / 2246 ] simplifiying candidate # 564.576 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 564.576 * * [simplify]: iters left: 6 (19 enodes) 564.582 * * [simplify]: iters left: 5 (72 enodes) 564.593 * * [simplify]: iters left: 4 (118 enodes) 564.610 * * [simplify]: iters left: 3 (184 enodes) 564.635 * * [simplify]: iters left: 2 (259 enodes) 564.677 * * [simplify]: iters left: 1 (397 enodes) 564.776 * * [simplify]: Extracting #0: cost 1 inf + 0 564.776 * * [simplify]: Extracting #1: cost 28 inf + 0 564.776 * * [simplify]: Extracting #2: cost 122 inf + 43 564.777 * * [simplify]: Extracting #3: cost 138 inf + 616 564.777 * * [simplify]: Extracting #4: cost 127 inf + 2144 564.779 * * [simplify]: Extracting #5: cost 94 inf + 7054 564.781 * * [simplify]: Extracting #6: cost 77 inf + 11080 564.786 * * [simplify]: Extracting #7: cost 28 inf + 25662 564.796 * * [simplify]: Extracting #8: cost 0 inf + 34604 564.805 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 564.805 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))))) 564.806 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1))) 564.806 * * [simplify]: iters left: 6 (14 enodes) 564.809 * * [simplify]: iters left: 5 (53 enodes) 564.820 * * [simplify]: iters left: 4 (92 enodes) 564.833 * * [simplify]: iters left: 3 (137 enodes) 564.852 * * [simplify]: iters left: 2 (188 enodes) 564.878 * * [simplify]: iters left: 1 (283 enodes) 564.924 * * [simplify]: Extracting #0: cost 1 inf + 0 564.924 * * [simplify]: Extracting #1: cost 0 inf + 1 564.924 * [simplify]: Simplified to 0 564.924 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 564.924 * * * * [progress]: [ 1086 / 2246 ] simplifiying candidate # 564.924 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 564.924 * * [simplify]: iters left: 6 (18 enodes) 564.930 * * [simplify]: iters left: 5 (72 enodes) 564.941 * * [simplify]: iters left: 4 (105 enodes) 564.959 * * [simplify]: iters left: 3 (172 enodes) 564.986 * * [simplify]: iters left: 2 (273 enodes) 565.043 * * [simplify]: iters left: 1 (474 enodes) 565.224 * * [simplify]: Extracting #0: cost 1 inf + 0 565.224 * * [simplify]: Extracting #1: cost 22 inf + 0 565.225 * * [simplify]: Extracting #2: cost 106 inf + 2 565.225 * * [simplify]: Extracting #3: cost 147 inf + 251 565.226 * * [simplify]: Extracting #4: cost 135 inf + 1927 565.228 * * [simplify]: Extracting #5: cost 100 inf + 6955 565.234 * * [simplify]: Extracting #6: cost 21 inf + 28576 565.245 * * [simplify]: Extracting #7: cost 0 inf + 34945 565.255 * * [simplify]: Extracting #8: cost 0 inf + 34870 565.266 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 565.266 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))))) 565.266 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1)))) 565.266 * * [simplify]: iters left: 6 (15 enodes) 565.272 * * [simplify]: iters left: 5 (60 enodes) 565.284 * * [simplify]: iters left: 4 (93 enodes) 565.298 * * [simplify]: iters left: 3 (149 enodes) 565.319 * * [simplify]: iters left: 2 (229 enodes) 565.359 * * [simplify]: iters left: 1 (341 enodes) 565.434 * * [simplify]: Extracting #0: cost 1 inf + 0 565.434 * * [simplify]: Extracting #1: cost 0 inf + 1 565.434 * [simplify]: Simplified to 0 565.434 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 0))) 565.434 * * * * [progress]: [ 1087 / 2246 ] simplifiying candidate # 565.435 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 565.435 * * [simplify]: iters left: 6 (18 enodes) 565.441 * * [simplify]: iters left: 5 (72 enodes) 565.452 * * [simplify]: iters left: 4 (105 enodes) 565.470 * * [simplify]: iters left: 3 (172 enodes) 565.497 * * [simplify]: iters left: 2 (273 enodes) 565.553 * * [simplify]: iters left: 1 (474 enodes) 565.735 * * [simplify]: Extracting #0: cost 1 inf + 0 565.735 * * [simplify]: Extracting #1: cost 22 inf + 0 565.735 * * [simplify]: Extracting #2: cost 106 inf + 2 565.736 * * [simplify]: Extracting #3: cost 147 inf + 251 565.737 * * [simplify]: Extracting #4: cost 135 inf + 1927 565.738 * * [simplify]: Extracting #5: cost 100 inf + 6955 565.745 * * [simplify]: Extracting #6: cost 21 inf + 28576 565.755 * * [simplify]: Extracting #7: cost 0 inf + 34945 565.766 * * [simplify]: Extracting #8: cost 0 inf + 34870 565.776 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 565.776 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))))) 565.776 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1)))) 565.777 * * [simplify]: iters left: 6 (15 enodes) 565.782 * * [simplify]: iters left: 5 (60 enodes) 565.794 * * [simplify]: iters left: 4 (93 enodes) 565.808 * * [simplify]: iters left: 3 (149 enodes) 565.830 * * [simplify]: iters left: 2 (229 enodes) 565.870 * * [simplify]: iters left: 1 (341 enodes) 565.945 * * [simplify]: Extracting #0: cost 1 inf + 0 565.945 * * [simplify]: Extracting #1: cost 0 inf + 1 565.945 * [simplify]: Simplified to 0 565.945 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 0))) 565.945 * * * * [progress]: [ 1088 / 2246 ] simplifiying candidate # 565.945 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 565.945 * * [simplify]: iters left: 6 (19 enodes) 565.951 * * [simplify]: iters left: 5 (72 enodes) 565.962 * * [simplify]: iters left: 4 (118 enodes) 565.981 * * [simplify]: iters left: 3 (184 enodes) 566.005 * * [simplify]: iters left: 2 (259 enodes) 566.047 * * [simplify]: iters left: 1 (397 enodes) 566.146 * * [simplify]: Extracting #0: cost 1 inf + 0 566.146 * * [simplify]: Extracting #1: cost 28 inf + 0 566.146 * * [simplify]: Extracting #2: cost 122 inf + 43 566.147 * * [simplify]: Extracting #3: cost 138 inf + 616 566.147 * * [simplify]: Extracting #4: cost 127 inf + 2144 566.149 * * [simplify]: Extracting #5: cost 94 inf + 7054 566.150 * * [simplify]: Extracting #6: cost 77 inf + 11080 566.156 * * [simplify]: Extracting #7: cost 28 inf + 25662 566.166 * * [simplify]: Extracting #8: cost 0 inf + 34604 566.175 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 566.175 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))))) 566.175 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1))) 566.176 * * [simplify]: iters left: 6 (14 enodes) 566.179 * * [simplify]: iters left: 5 (53 enodes) 566.188 * * [simplify]: iters left: 4 (92 enodes) 566.201 * * [simplify]: iters left: 3 (137 enodes) 566.221 * * [simplify]: iters left: 2 (188 enodes) 566.248 * * [simplify]: iters left: 1 (283 enodes) 566.294 * * [simplify]: Extracting #0: cost 1 inf + 0 566.294 * * [simplify]: Extracting #1: cost 0 inf + 1 566.294 * [simplify]: Simplified to 0 566.294 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 566.294 * * * * [progress]: [ 1089 / 2246 ] simplifiying candidate # 566.294 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))) 566.295 * * [simplify]: iters left: 6 (17 enodes) 566.300 * * [simplify]: iters left: 5 (66 enodes) 566.311 * * [simplify]: iters left: 4 (95 enodes) 566.324 * * [simplify]: iters left: 3 (135 enodes) 566.344 * * [simplify]: iters left: 2 (181 enodes) 566.378 * * [simplify]: iters left: 1 (339 enodes) 566.500 * * [simplify]: Extracting #0: cost 1 inf + 0 566.500 * * [simplify]: Extracting #1: cost 14 inf + 0 566.500 * * [simplify]: Extracting #2: cost 93 inf + 2 566.500 * * [simplify]: Extracting #3: cost 134 inf + 127 566.501 * * [simplify]: Extracting #4: cost 120 inf + 1756 566.503 * * [simplify]: Extracting #5: cost 79 inf + 7605 566.508 * * [simplify]: Extracting #6: cost 15 inf + 24922 566.516 * * [simplify]: Extracting #7: cost 0 inf + 29658 566.524 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 566.525 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1 (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))))) 566.525 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1 (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1)) 566.525 * * [simplify]: iters left: 6 (12 enodes) 566.528 * * [simplify]: iters left: 5 (47 enodes) 566.537 * * [simplify]: iters left: 4 (79 enodes) 566.548 * * [simplify]: iters left: 3 (107 enodes) 566.569 * * [simplify]: iters left: 2 (167 enodes) 566.594 * * [simplify]: iters left: 1 (239 enodes) 566.639 * * [simplify]: Extracting #0: cost 1 inf + 0 566.639 * * [simplify]: Extracting #1: cost 0 inf + 1 566.639 * [simplify]: Simplified to 0 566.639 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 566.639 * * * * [progress]: [ 1090 / 2246 ] simplifiying candidate # 566.640 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))) 566.640 * * [simplify]: iters left: 6 (17 enodes) 566.645 * * [simplify]: iters left: 5 (67 enodes) 566.655 * * [simplify]: iters left: 4 (108 enodes) 566.672 * * [simplify]: iters left: 3 (168 enodes) 566.704 * * [simplify]: iters left: 2 (291 enodes) 566.778 * * [simplify]: Extracting #0: cost 1 inf + 0 566.778 * * [simplify]: Extracting #1: cost 22 inf + 0 566.778 * * [simplify]: Extracting #2: cost 86 inf + 4 566.779 * * [simplify]: Extracting #3: cost 114 inf + 415 566.779 * * [simplify]: Extracting #4: cost 99 inf + 2431 566.783 * * [simplify]: Extracting #5: cost 30 inf + 19448 566.790 * * [simplify]: Extracting #6: cost 0 inf + 27280 566.797 * [simplify]: Simplified to (* (/ 1 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- 1/2 (/ 1/2 (hypot 1 x)))) 566.797 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (/ 1 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- 1/2 (/ 1/2 (hypot 1 x)))) (fma (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (hypot 1 x)) (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))))) 566.797 * [simplify]: Simplifying (fma (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (hypot 1 x)) (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x)))) 566.797 * * [simplify]: iters left: 6 (12 enodes) 566.800 * * [simplify]: iters left: 5 (50 enodes) 566.808 * * [simplify]: iters left: 4 (76 enodes) 566.823 * * [simplify]: iters left: 3 (143 enodes) 566.850 * * [simplify]: iters left: 2 (233 enodes) 566.895 * * [simplify]: iters left: 1 (369 enodes) 566.977 * * [simplify]: Extracting #0: cost 1 inf + 0 566.978 * * [simplify]: Extracting #1: cost 0 inf + 1 566.978 * [simplify]: Simplified to 0 566.978 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (* (/ 1 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- 1/2 (/ 1/2 (hypot 1 x)))) 0))) 566.978 * * * * [progress]: [ 1091 / 2246 ] simplifiying candidate # 566.978 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 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))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))) 566.978 * * [simplify]: iters left: 6 (25 enodes) 566.989 * * [simplify]: iters left: 5 (103 enodes) 567.009 * * [simplify]: iters left: 4 (247 enodes) 567.070 * * [simplify]: Extracting #0: cost 1 inf + 0 567.070 * * [simplify]: Extracting #1: cost 11 inf + 0 567.070 * * [simplify]: Extracting #2: cost 102 inf + 0 567.070 * * [simplify]: Extracting #3: cost 172 inf + 46 567.071 * * [simplify]: Extracting #4: cost 175 inf + 341 567.073 * * [simplify]: Extracting #5: cost 143 inf + 7494 567.079 * * [simplify]: Extracting #6: cost 53 inf + 33214 567.089 * * [simplify]: Extracting #7: cost 1 inf + 50567 567.100 * * [simplify]: Extracting #8: cost 0 inf + 50849 567.111 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (fma (- (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 567.111 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (fma (- (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (fma (- (+ (* 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 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (* (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))))) 567.111 * [simplify]: Simplifying (fma (- (+ (* 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 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (* (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))))) 567.111 * * [simplify]: iters left: 6 (20 enodes) 567.117 * * [simplify]: iters left: 5 (87 enodes) 567.137 * * [simplify]: iters left: 4 (224 enodes) 567.200 * * [simplify]: Extracting #0: cost 1 inf + 0 567.200 * * [simplify]: Extracting #1: cost 14 inf + 0 567.201 * * [simplify]: Extracting #2: cost 116 inf + 0 567.201 * * [simplify]: Extracting #3: cost 173 inf + 989 567.204 * * [simplify]: Extracting #4: cost 109 inf + 16215 567.213 * * [simplify]: Extracting #5: cost 31 inf + 40092 567.223 * * [simplify]: Extracting #6: cost 1 inf + 50253 567.235 * * [simplify]: Extracting #7: cost 0 inf + 50642 567.246 * [simplify]: Simplified to (- (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 567.246 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 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))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))) (- (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))))) 567.246 * * * * [progress]: [ 1092 / 2246 ] simplifiying candidate # 567.246 * [simplify]: Simplifying (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 567.247 * * [simplify]: iters left: 6 (20 enodes) 567.253 * * [simplify]: iters left: 5 (76 enodes) 567.265 * * [simplify]: iters left: 4 (139 enodes) 567.291 * * [simplify]: iters left: 3 (286 enodes) 567.353 * * [simplify]: Extracting #0: cost 1 inf + 0 567.353 * * [simplify]: Extracting #1: cost 17 inf + 0 567.353 * * [simplify]: Extracting #2: cost 108 inf + 0 567.354 * * [simplify]: Extracting #3: cost 152 inf + 86 567.354 * * [simplify]: Extracting #4: cost 168 inf + 559 567.356 * * [simplify]: Extracting #5: cost 129 inf + 6084 567.361 * * [simplify]: Extracting #6: cost 32 inf + 30333 567.370 * * [simplify]: Extracting #7: cost 1 inf + 39799 567.379 * * [simplify]: Extracting #8: cost 0 inf + 40233 567.388 * [simplify]: Simplified to (fma (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1) (/ (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 567.389 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1) (/ (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 567.389 * [simplify]: Simplifying (fma (- (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 567.389 * * [simplify]: iters left: 6 (15 enodes) 567.393 * * [simplify]: iters left: 5 (56 enodes) 567.404 * * [simplify]: iters left: 4 (109 enodes) 567.425 * * [simplify]: iters left: 3 (271 enodes) 567.489 * * [simplify]: Extracting #0: cost 1 inf + 0 567.489 * * [simplify]: Extracting #1: cost 0 inf + 1 567.489 * [simplify]: Simplified to 0 567.489 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) (sqrt 1)) (/ (sqrt 1/2) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 567.490 * * * * [progress]: [ 1093 / 2246 ] simplifiying candidate # 567.490 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 567.490 * * [simplify]: iters left: 6 (17 enodes) 567.494 * * [simplify]: iters left: 5 (64 enodes) 567.504 * * [simplify]: iters left: 4 (93 enodes) 567.519 * * [simplify]: iters left: 3 (132 enodes) 567.543 * * [simplify]: iters left: 2 (193 enodes) 567.572 * * [simplify]: iters left: 1 (309 enodes) 567.632 * * [simplify]: Extracting #0: cost 1 inf + 0 567.632 * * [simplify]: Extracting #1: cost 13 inf + 0 567.632 * * [simplify]: Extracting #2: cost 79 inf + 0 567.633 * * [simplify]: Extracting #3: cost 129 inf + 4 567.633 * * [simplify]: Extracting #4: cost 127 inf + 285 567.634 * * [simplify]: Extracting #5: cost 106 inf + 3069 567.635 * * [simplify]: Extracting #6: cost 100 inf + 3920 567.638 * * [simplify]: Extracting #7: cost 73 inf + 11664 567.643 * * [simplify]: Extracting #8: cost 47 inf + 24033 567.651 * * [simplify]: Extracting #9: cost 7 inf + 53450 567.661 * * [simplify]: Extracting #10: cost 0 inf + 59290 567.671 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 567.672 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 567.672 * [simplify]: Simplifying (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 567.672 * * [simplify]: iters left: 6 (14 enodes) 567.678 * * [simplify]: iters left: 5 (53 enodes) 567.686 * * [simplify]: iters left: 4 (76 enodes) 567.699 * * [simplify]: iters left: 3 (134 enodes) 567.721 * * [simplify]: iters left: 2 (194 enodes) 567.752 * * [simplify]: iters left: 1 (293 enodes) 567.797 * * [simplify]: Extracting #0: cost 1 inf + 0 567.797 * * [simplify]: Extracting #1: cost 0 inf + 1 567.797 * [simplify]: Simplified to 0 567.797 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 567.797 * * * * [progress]: [ 1094 / 2246 ] simplifiying candidate # 567.797 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 567.797 * * [simplify]: iters left: 6 (16 enodes) 567.801 * * [simplify]: iters left: 5 (55 enodes) 567.811 * * [simplify]: iters left: 4 (77 enodes) 567.822 * * [simplify]: iters left: 3 (98 enodes) 567.835 * * [simplify]: iters left: 2 (119 enodes) 567.852 * * [simplify]: iters left: 1 (176 enodes) 567.881 * * [simplify]: Extracting #0: cost 1 inf + 0 567.881 * * [simplify]: Extracting #1: cost 11 inf + 0 567.881 * * [simplify]: Extracting #2: cost 42 inf + 0 567.881 * * [simplify]: Extracting #3: cost 60 inf + 3 567.882 * * [simplify]: Extracting #4: cost 50 inf + 1176 567.882 * * [simplify]: Extracting #5: cost 36 inf + 3788 567.885 * * [simplify]: Extracting #6: cost 14 inf + 9903 567.888 * * [simplify]: Extracting #7: cost 0 inf + 14270 567.892 * * [simplify]: Extracting #8: cost 0 inf + 14190 567.895 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 567.895 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 567.895 * [simplify]: Simplifying (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 567.896 * * [simplify]: iters left: 6 (13 enodes) 567.899 * * [simplify]: iters left: 5 (45 enodes) 567.905 * * [simplify]: iters left: 4 (60 enodes) 567.914 * * [simplify]: iters left: 3 (85 enodes) 567.925 * * [simplify]: iters left: 2 (102 enodes) 567.938 * * [simplify]: iters left: 1 (126 enodes) 567.955 * * [simplify]: Extracting #0: cost 1 inf + 0 567.955 * * [simplify]: Extracting #1: cost 0 inf + 1 567.955 * [simplify]: Simplified to 0 567.956 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 567.956 * * * * [progress]: [ 1095 / 2246 ] simplifiying candidate # 567.956 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))) 567.956 * * [simplify]: iters left: 6 (20 enodes) 567.961 * * [simplify]: iters left: 5 (78 enodes) 567.973 * * [simplify]: iters left: 4 (159 enodes) 568.006 * * [simplify]: iters left: 3 (323 enodes) 568.072 * * [simplify]: Extracting #0: cost 1 inf + 0 568.072 * * [simplify]: Extracting #1: cost 11 inf + 0 568.072 * * [simplify]: Extracting #2: cost 69 inf + 0 568.072 * * [simplify]: Extracting #3: cost 106 inf + 3 568.073 * * [simplify]: Extracting #4: cost 107 inf + 168 568.073 * * [simplify]: Extracting #5: cost 102 inf + 641 568.074 * * [simplify]: Extracting #6: cost 85 inf + 4157 568.078 * * [simplify]: Extracting #7: cost 38 inf + 23487 568.087 * * [simplify]: Extracting #8: cost 2 inf + 39986 568.097 * * [simplify]: Extracting #9: cost 0 inf + 40862 568.107 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 568.107 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))))) 568.108 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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)))))))) 568.108 * * [simplify]: iters left: 6 (17 enodes) 568.112 * * [simplify]: iters left: 5 (69 enodes) 568.123 * * [simplify]: iters left: 4 (135 enodes) 568.153 * * [simplify]: iters left: 3 (301 enodes) 568.214 * * [simplify]: Extracting #0: cost 1 inf + 0 568.214 * * [simplify]: Extracting #1: cost 0 inf + 1 568.214 * [simplify]: Simplified to 0 568.214 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))) 0))) 568.215 * * * * [progress]: [ 1096 / 2246 ] simplifiying candidate # 568.215 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 568.215 * * [simplify]: iters left: 6 (19 enodes) 568.220 * * [simplify]: iters left: 5 (72 enodes) 568.231 * * [simplify]: iters left: 4 (122 enodes) 568.250 * * [simplify]: iters left: 3 (194 enodes) 568.283 * * [simplify]: iters left: 2 (271 enodes) 568.334 * * [simplify]: iters left: 1 (402 enodes) 568.434 * * [simplify]: Extracting #0: cost 1 inf + 0 568.434 * * [simplify]: Extracting #1: cost 11 inf + 0 568.434 * * [simplify]: Extracting #2: cost 85 inf + 0 568.434 * * [simplify]: Extracting #3: cost 156 inf + 3 568.435 * * [simplify]: Extracting #4: cost 149 inf + 521 568.437 * * [simplify]: Extracting #5: cost 143 inf + 1173 568.442 * * [simplify]: Extracting #6: cost 66 inf + 29655 568.454 * * [simplify]: Extracting #7: cost 2 inf + 57749 568.466 * * [simplify]: Extracting #8: cost 0 inf + 58846 568.479 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 568.479 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 568.479 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 568.480 * * [simplify]: iters left: 6 (16 enodes) 568.483 * * [simplify]: iters left: 5 (63 enodes) 568.493 * * [simplify]: iters left: 4 (100 enodes) 568.508 * * [simplify]: iters left: 3 (175 enodes) 568.539 * * [simplify]: iters left: 2 (267 enodes) 568.583 * * [simplify]: iters left: 1 (373 enodes) 568.648 * * [simplify]: Extracting #0: cost 1 inf + 0 568.648 * * [simplify]: Extracting #1: cost 0 inf + 1 568.648 * [simplify]: Simplified to 0 568.648 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 568.649 * * * * [progress]: [ 1097 / 2246 ] simplifiying candidate # 568.649 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 568.649 * * [simplify]: iters left: 6 (18 enodes) 568.653 * * [simplify]: iters left: 5 (67 enodes) 568.664 * * [simplify]: iters left: 4 (123 enodes) 568.686 * * [simplify]: iters left: 3 (214 enodes) 568.737 * * [simplify]: iters left: 2 (377 enodes) 568.837 * * [simplify]: Extracting #0: cost 1 inf + 0 568.837 * * [simplify]: Extracting #1: cost 13 inf + 0 568.838 * * [simplify]: Extracting #2: cost 65 inf + 0 568.838 * * [simplify]: Extracting #3: cost 115 inf + 3 568.838 * * [simplify]: Extracting #4: cost 111 inf + 285 568.839 * * [simplify]: Extracting #5: cost 104 inf + 1196 568.841 * * [simplify]: Extracting #6: cost 52 inf + 18548 568.848 * * [simplify]: Extracting #7: cost 0 inf + 40566 568.856 * * [simplify]: Extracting #8: cost 0 inf + 40206 568.864 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 568.864 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))))) 568.864 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1))) 568.864 * * [simplify]: iters left: 6 (15 enodes) 568.868 * * [simplify]: iters left: 5 (58 enodes) 568.879 * * [simplify]: iters left: 4 (100 enodes) 568.897 * * [simplify]: iters left: 3 (192 enodes) 568.941 * * [simplify]: iters left: 2 (333 enodes) 569.019 * * [simplify]: Extracting #0: cost 1 inf + 0 569.019 * * [simplify]: Extracting #1: cost 0 inf + 1 569.019 * [simplify]: Simplified to 0 569.019 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 0))) 569.019 * * * * [progress]: [ 1098 / 2246 ] simplifiying candidate # 569.019 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 569.020 * * [simplify]: iters left: 6 (20 enodes) 569.025 * * [simplify]: iters left: 5 (76 enodes) 569.036 * * [simplify]: iters left: 4 (116 enodes) 569.056 * * [simplify]: iters left: 3 (200 enodes) 569.092 * * [simplify]: iters left: 2 (297 enodes) 569.157 * * [simplify]: iters left: 1 (407 enodes) 569.248 * * [simplify]: Extracting #0: cost 1 inf + 0 569.248 * * [simplify]: Extracting #1: cost 11 inf + 0 569.248 * * [simplify]: Extracting #2: cost 53 inf + 0 569.248 * * [simplify]: Extracting #3: cost 107 inf + 3 569.249 * * [simplify]: Extracting #4: cost 104 inf + 326 569.249 * * [simplify]: Extracting #5: cost 97 inf + 1276 569.251 * * [simplify]: Extracting #6: cost 62 inf + 11474 569.256 * * [simplify]: Extracting #7: cost 11 inf + 32900 569.264 * * [simplify]: Extracting #8: cost 0 inf + 37993 569.271 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 569.271 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))))) 569.272 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)))) 569.272 * * [simplify]: iters left: 6 (16 enodes) 569.276 * * [simplify]: iters left: 5 (63 enodes) 569.286 * * [simplify]: iters left: 4 (94 enodes) 569.304 * * [simplify]: iters left: 3 (179 enodes) 569.341 * * [simplify]: iters left: 2 (303 enodes) 569.405 * * [simplify]: iters left: 1 (423 enodes) 569.507 * * [simplify]: Extracting #0: cost 1 inf + 0 569.507 * * [simplify]: Extracting #1: cost 0 inf + 1 569.507 * [simplify]: Simplified to 0 569.507 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 569.507 * * * * [progress]: [ 1099 / 2246 ] simplifiying candidate # 569.508 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))) 569.508 * * [simplify]: iters left: 6 (20 enodes) 569.513 * * [simplify]: iters left: 5 (76 enodes) 569.524 * * [simplify]: iters left: 4 (116 enodes) 569.545 * * [simplify]: iters left: 3 (200 enodes) 569.582 * * [simplify]: iters left: 2 (297 enodes) 569.647 * * [simplify]: iters left: 1 (407 enodes) 569.737 * * [simplify]: Extracting #0: cost 1 inf + 0 569.737 * * [simplify]: Extracting #1: cost 11 inf + 0 569.737 * * [simplify]: Extracting #2: cost 53 inf + 0 569.737 * * [simplify]: Extracting #3: cost 107 inf + 3 569.738 * * [simplify]: Extracting #4: cost 104 inf + 326 569.738 * * [simplify]: Extracting #5: cost 97 inf + 1276 569.740 * * [simplify]: Extracting #6: cost 62 inf + 11474 569.746 * * [simplify]: Extracting #7: cost 11 inf + 32900 569.753 * * [simplify]: Extracting #8: cost 0 inf + 37993 569.760 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 569.760 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1))))))) 569.761 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt 1)))) 569.761 * * [simplify]: iters left: 6 (16 enodes) 569.766 * * [simplify]: iters left: 5 (63 enodes) 569.777 * * [simplify]: iters left: 4 (94 enodes) 569.793 * * [simplify]: iters left: 3 (179 enodes) 569.829 * * [simplify]: iters left: 2 (303 enodes) 569.894 * * [simplify]: iters left: 1 (423 enodes) 569.994 * * [simplify]: Extracting #0: cost 1 inf + 0 569.994 * * [simplify]: Extracting #1: cost 0 inf + 1 569.994 * [simplify]: Simplified to 0 569.994 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 569.994 * * * * [progress]: [ 1100 / 2246 ] simplifiying candidate # 569.995 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 569.995 * * [simplify]: iters left: 6 (18 enodes) 570.001 * * [simplify]: iters left: 5 (67 enodes) 570.012 * * [simplify]: iters left: 4 (123 enodes) 570.034 * * [simplify]: iters left: 3 (214 enodes) 570.084 * * [simplify]: iters left: 2 (377 enodes) 570.186 * * [simplify]: Extracting #0: cost 1 inf + 0 570.186 * * [simplify]: Extracting #1: cost 13 inf + 0 570.186 * * [simplify]: Extracting #2: cost 65 inf + 0 570.187 * * [simplify]: Extracting #3: cost 115 inf + 3 570.187 * * [simplify]: Extracting #4: cost 111 inf + 285 570.188 * * [simplify]: Extracting #5: cost 104 inf + 1196 570.190 * * [simplify]: Extracting #6: cost 52 inf + 18548 570.197 * * [simplify]: Extracting #7: cost 0 inf + 40566 570.205 * * [simplify]: Extracting #8: cost 0 inf + 40206 570.213 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 570.213 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))))) 570.213 * [simplify]: Simplifying (fma (- (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1))) 570.213 * * [simplify]: iters left: 6 (15 enodes) 570.217 * * [simplify]: iters left: 5 (58 enodes) 570.226 * * [simplify]: iters left: 4 (100 enodes) 570.247 * * [simplify]: iters left: 3 (192 enodes) 570.289 * * [simplify]: iters left: 2 (333 enodes) 570.370 * * [simplify]: Extracting #0: cost 1 inf + 0 570.370 * * [simplify]: Extracting #1: cost 0 inf + 1 570.370 * [simplify]: Simplified to 0 570.370 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) 1)))) 0))) 570.370 * * * * [progress]: [ 1101 / 2246 ] simplifiying candidate # 570.370 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 570.370 * * [simplify]: iters left: 6 (19 enodes) 570.375 * * [simplify]: iters left: 5 (71 enodes) 570.386 * * [simplify]: iters left: 4 (120 enodes) 570.405 * * [simplify]: iters left: 3 (174 enodes) 570.432 * * [simplify]: iters left: 2 (234 enodes) 570.466 * * [simplify]: iters left: 1 (298 enodes) 570.510 * * [simplify]: Extracting #0: cost 1 inf + 0 570.510 * * [simplify]: Extracting #1: cost 11 inf + 0 570.510 * * [simplify]: Extracting #2: cost 52 inf + 0 570.510 * * [simplify]: Extracting #3: cost 80 inf + 3 570.511 * * [simplify]: Extracting #4: cost 81 inf + 168 570.511 * * [simplify]: Extracting #5: cost 79 inf + 252 570.511 * * [simplify]: Extracting #6: cost 72 inf + 1176 570.513 * * [simplify]: Extracting #7: cost 54 inf + 5182 570.516 * * [simplify]: Extracting #8: cost 26 inf + 14726 570.522 * * [simplify]: Extracting #9: cost 0 inf + 24965 570.528 * * [simplify]: Extracting #10: cost 0 inf + 24963 570.534 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 570.534 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 570.534 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 570.534 * * [simplify]: iters left: 6 (16 enodes) 570.538 * * [simplify]: iters left: 5 (62 enodes) 570.547 * * [simplify]: iters left: 4 (99 enodes) 570.565 * * [simplify]: iters left: 3 (150 enodes) 570.587 * * [simplify]: iters left: 2 (222 enodes) 570.620 * * [simplify]: iters left: 1 (302 enodes) 570.666 * * [simplify]: Extracting #0: cost 1 inf + 0 570.666 * * [simplify]: Extracting #1: cost 0 inf + 1 570.666 * [simplify]: Simplified to 0 570.666 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 570.666 * * * * [progress]: [ 1102 / 2246 ] simplifiying candidate # 570.666 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 570.666 * * [simplify]: iters left: 6 (17 enodes) 570.670 * * [simplify]: iters left: 5 (62 enodes) 570.680 * * [simplify]: iters left: 4 (91 enodes) 570.695 * * [simplify]: iters left: 3 (123 enodes) 570.712 * * [simplify]: iters left: 2 (159 enodes) 570.733 * * [simplify]: iters left: 1 (194 enodes) 570.760 * * [simplify]: Extracting #0: cost 1 inf + 0 570.760 * * [simplify]: Extracting #1: cost 9 inf + 0 570.760 * * [simplify]: Extracting #2: cost 43 inf + 0 570.761 * * [simplify]: Extracting #3: cost 64 inf + 3 570.761 * * [simplify]: Extracting #4: cost 64 inf + 249 570.761 * * [simplify]: Extracting #5: cost 56 inf + 1273 570.763 * * [simplify]: Extracting #6: cost 26 inf + 8732 570.767 * * [simplify]: Extracting #7: cost 1 inf + 16543 570.770 * * [simplify]: Extracting #8: cost 0 inf + 16881 570.774 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 570.774 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 570.775 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 570.775 * * [simplify]: iters left: 6 (14 enodes) 570.778 * * [simplify]: iters left: 5 (54 enodes) 570.786 * * [simplify]: iters left: 4 (77 enodes) 570.797 * * [simplify]: iters left: 3 (106 enodes) 570.811 * * [simplify]: iters left: 2 (137 enodes) 570.830 * * [simplify]: iters left: 1 (167 enodes) 570.851 * * [simplify]: Extracting #0: cost 1 inf + 0 570.851 * * [simplify]: Extracting #1: cost 0 inf + 1 570.851 * [simplify]: Simplified to 0 570.851 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 570.851 * * * * [progress]: [ 1103 / 2246 ] simplifiying candidate # 570.851 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 570.851 * * [simplify]: iters left: 6 (17 enodes) 570.855 * * [simplify]: iters left: 5 (62 enodes) 570.865 * * [simplify]: iters left: 4 (95 enodes) 570.880 * * [simplify]: iters left: 3 (146 enodes) 570.902 * * [simplify]: iters left: 2 (191 enodes) 570.933 * * [simplify]: iters left: 1 (255 enodes) 570.973 * * [simplify]: Extracting #0: cost 1 inf + 0 570.973 * * [simplify]: Extracting #1: cost 11 inf + 0 570.974 * * [simplify]: Extracting #2: cost 43 inf + 0 570.974 * * [simplify]: Extracting #3: cost 60 inf + 3 570.974 * * [simplify]: Extracting #4: cost 56 inf + 640 570.975 * * [simplify]: Extracting #5: cost 42 inf + 2963 570.977 * * [simplify]: Extracting #6: cost 10 inf + 11772 570.981 * * [simplify]: Extracting #7: cost 0 inf + 14513 570.985 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 570.985 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))))) 570.985 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1))) 570.985 * * [simplify]: iters left: 6 (14 enodes) 570.989 * * [simplify]: iters left: 5 (53 enodes) 570.996 * * [simplify]: iters left: 4 (78 enodes) 571.008 * * [simplify]: iters left: 3 (126 enodes) 571.029 * * [simplify]: iters left: 2 (171 enodes) 571.056 * * [simplify]: iters left: 1 (225 enodes) 571.084 * * [simplify]: Extracting #0: cost 1 inf + 0 571.084 * * [simplify]: Extracting #1: cost 0 inf + 1 571.084 * [simplify]: Simplified to 0 571.085 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 0))) 571.085 * * * * [progress]: [ 1104 / 2246 ] simplifiying candidate # 571.085 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 571.085 * * [simplify]: iters left: 6 (19 enodes) 571.092 * * [simplify]: iters left: 5 (71 enodes) 571.102 * * [simplify]: iters left: 4 (101 enodes) 571.116 * * [simplify]: iters left: 3 (140 enodes) 571.134 * * [simplify]: iters left: 2 (182 enodes) 571.161 * * [simplify]: iters left: 1 (219 enodes) 571.192 * * [simplify]: Extracting #0: cost 1 inf + 0 571.193 * * [simplify]: Extracting #1: cost 11 inf + 0 571.193 * * [simplify]: Extracting #2: cost 44 inf + 0 571.193 * * [simplify]: Extracting #3: cost 59 inf + 3 571.193 * * [simplify]: Extracting #4: cost 52 inf + 698 571.194 * * [simplify]: Extracting #5: cost 42 inf + 2536 571.195 * * [simplify]: Extracting #6: cost 20 inf + 8054 571.199 * * [simplify]: Extracting #7: cost 1 inf + 13676 571.202 * * [simplify]: Extracting #8: cost 0 inf + 14013 571.206 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 571.206 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))))) 571.206 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)))) 571.206 * * [simplify]: iters left: 6 (15 enodes) 571.210 * * [simplify]: iters left: 5 (58 enodes) 571.219 * * [simplify]: iters left: 4 (84 enodes) 571.233 * * [simplify]: iters left: 3 (133 enodes) 571.252 * * [simplify]: iters left: 2 (175 enodes) 571.274 * * [simplify]: iters left: 1 (209 enodes) 571.302 * * [simplify]: Extracting #0: cost 1 inf + 0 571.302 * * [simplify]: Extracting #1: cost 0 inf + 1 571.302 * [simplify]: Simplified to 0 571.302 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 571.302 * * * * [progress]: [ 1105 / 2246 ] simplifiying candidate # 571.303 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))) 571.303 * * [simplify]: iters left: 6 (19 enodes) 571.308 * * [simplify]: iters left: 5 (71 enodes) 571.318 * * [simplify]: iters left: 4 (101 enodes) 571.333 * * [simplify]: iters left: 3 (140 enodes) 571.353 * * [simplify]: iters left: 2 (182 enodes) 571.378 * * [simplify]: iters left: 1 (219 enodes) 571.409 * * [simplify]: Extracting #0: cost 1 inf + 0 571.409 * * [simplify]: Extracting #1: cost 11 inf + 0 571.409 * * [simplify]: Extracting #2: cost 44 inf + 0 571.409 * * [simplify]: Extracting #3: cost 59 inf + 3 571.409 * * [simplify]: Extracting #4: cost 52 inf + 698 571.410 * * [simplify]: Extracting #5: cost 42 inf + 2536 571.412 * * [simplify]: Extracting #6: cost 20 inf + 8054 571.416 * * [simplify]: Extracting #7: cost 1 inf + 13676 571.420 * * [simplify]: Extracting #8: cost 0 inf + 14013 571.423 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 571.423 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1))))))) 571.424 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1)))) 571.424 * * [simplify]: iters left: 6 (15 enodes) 571.428 * * [simplify]: iters left: 5 (58 enodes) 571.436 * * [simplify]: iters left: 4 (84 enodes) 571.449 * * [simplify]: iters left: 3 (133 enodes) 571.467 * * [simplify]: iters left: 2 (175 enodes) 571.491 * * [simplify]: iters left: 1 (209 enodes) 571.517 * * [simplify]: Extracting #0: cost 1 inf + 0 571.517 * * [simplify]: Extracting #1: cost 0 inf + 1 571.517 * [simplify]: Simplified to 0 571.518 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 0))) 571.518 * * * * [progress]: [ 1106 / 2246 ] simplifiying candidate # 571.518 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 571.518 * * [simplify]: iters left: 6 (17 enodes) 571.522 * * [simplify]: iters left: 5 (62 enodes) 571.531 * * [simplify]: iters left: 4 (95 enodes) 571.546 * * [simplify]: iters left: 3 (146 enodes) 571.569 * * [simplify]: iters left: 2 (191 enodes) 571.599 * * [simplify]: iters left: 1 (255 enodes) 571.640 * * [simplify]: Extracting #0: cost 1 inf + 0 571.640 * * [simplify]: Extracting #1: cost 11 inf + 0 571.640 * * [simplify]: Extracting #2: cost 43 inf + 0 571.640 * * [simplify]: Extracting #3: cost 60 inf + 3 571.640 * * [simplify]: Extracting #4: cost 56 inf + 640 571.641 * * [simplify]: Extracting #5: cost 42 inf + 2963 571.644 * * [simplify]: Extracting #6: cost 10 inf + 11772 571.648 * * [simplify]: Extracting #7: cost 0 inf + 14513 571.651 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 571.651 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))))) 571.652 * [simplify]: Simplifying (fma (- (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1) (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1))) 571.652 * * [simplify]: iters left: 6 (14 enodes) 571.655 * * [simplify]: iters left: 5 (53 enodes) 571.663 * * [simplify]: iters left: 4 (78 enodes) 571.677 * * [simplify]: iters left: 3 (126 enodes) 571.695 * * [simplify]: iters left: 2 (171 enodes) 571.723 * * [simplify]: iters left: 1 (225 enodes) 571.753 * * [simplify]: Extracting #0: cost 1 inf + 0 571.753 * * [simplify]: Extracting #1: cost 0 inf + 1 571.753 * [simplify]: Simplified to 0 571.753 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (sqrt (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (sqrt (/ 1/2 (hypot 1 x))) 1)))) 0))) 571.753 * * * * [progress]: [ 1107 / 2246 ] simplifiying candidate # 571.753 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 571.753 * * [simplify]: iters left: 6 (24 enodes) 571.759 * * [simplify]: iters left: 5 (96 enodes) 571.775 * * [simplify]: iters left: 4 (226 enodes) 571.840 * * [simplify]: Extracting #0: cost 1 inf + 0 571.840 * * [simplify]: Extracting #1: cost 11 inf + 0 571.840 * * [simplify]: Extracting #2: cost 147 inf + 0 571.841 * * [simplify]: Extracting #3: cost 259 inf + 44 571.842 * * [simplify]: Extracting #4: cost 257 inf + 811 571.843 * * [simplify]: Extracting #5: cost 240 inf + 4566 571.846 * * [simplify]: Extracting #6: cost 178 inf + 29962 571.865 * * [simplify]: Extracting #7: cost 32 inf + 112470 571.891 * * [simplify]: Extracting #8: cost 0 inf + 131886 571.915 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 571.915 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 571.916 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 571.916 * * [simplify]: iters left: 6 (21 enodes) 571.921 * * [simplify]: iters left: 5 (87 enodes) 571.936 * * [simplify]: iters left: 4 (200 enodes) 571.995 * * [simplify]: Extracting #0: cost 1 inf + 0 571.995 * * [simplify]: Extracting #1: cost 25 inf + 0 571.995 * * [simplify]: Extracting #2: cost 150 inf + 0 571.996 * * [simplify]: Extracting #3: cost 243 inf + 1 571.996 * * [simplify]: Extracting #4: cost 245 inf + 365 571.998 * * [simplify]: Extracting #5: cost 226 inf + 4202 571.999 * * [simplify]: Extracting #6: cost 200 inf + 13225 572.004 * * [simplify]: Extracting #7: cost 154 inf + 36777 572.025 * * [simplify]: Extracting #8: cost 20 inf + 116269 572.048 * * [simplify]: Extracting #9: cost 0 inf + 128603 572.071 * [simplify]: Simplified to (- (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 572.072 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) (- (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (* (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 572.072 * * * * [progress]: [ 1108 / 2246 ] simplifiying candidate # 572.072 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 572.072 * * [simplify]: iters left: 6 (23 enodes) 572.078 * * [simplify]: iters left: 5 (91 enodes) 572.093 * * [simplify]: iters left: 4 (190 enodes) 572.138 * * [simplify]: Extracting #0: cost 1 inf + 0 572.138 * * [simplify]: Extracting #1: cost 11 inf + 0 572.138 * * [simplify]: Extracting #2: cost 110 inf + 0 572.138 * * [simplify]: Extracting #3: cost 187 inf + 43 572.139 * * [simplify]: Extracting #4: cost 186 inf + 529 572.140 * * [simplify]: Extracting #5: cost 169 inf + 4147 572.142 * * [simplify]: Extracting #6: cost 134 inf + 14800 572.146 * * [simplify]: Extracting #7: cost 98 inf + 30528 572.158 * * [simplify]: Extracting #8: cost 16 inf + 74684 572.175 * * [simplify]: Extracting #9: cost 0 inf + 83612 572.189 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) 572.189 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 572.190 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 572.190 * * [simplify]: iters left: 6 (20 enodes) 572.195 * * [simplify]: iters left: 5 (82 enodes) 572.208 * * [simplify]: iters left: 4 (166 enodes) 572.249 * * [simplify]: Extracting #0: cost 1 inf + 0 572.249 * * [simplify]: Extracting #1: cost 22 inf + 0 572.249 * * [simplify]: Extracting #2: cost 106 inf + 0 572.250 * * [simplify]: Extracting #3: cost 175 inf + 0 572.250 * * [simplify]: Extracting #4: cost 174 inf + 286 572.251 * * [simplify]: Extracting #5: cost 165 inf + 2060 572.252 * * [simplify]: Extracting #6: cost 133 inf + 12055 572.254 * * [simplify]: Extracting #7: cost 124 inf + 14115 572.260 * * [simplify]: Extracting #8: cost 61 inf + 47169 572.273 * * [simplify]: Extracting #9: cost 3 inf + 80053 572.288 * * [simplify]: Extracting #10: cost 0 inf + 81907 572.302 * [simplify]: Simplified to (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 572.302 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))))))) 572.303 * * * * [progress]: [ 1109 / 2246 ] simplifiying candidate # 572.303 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 572.303 * * [simplify]: iters left: 6 (22 enodes) 572.310 * * [simplify]: iters left: 5 (85 enodes) 572.325 * * [simplify]: iters left: 4 (197 enodes) 572.377 * * [simplify]: Extracting #0: cost 1 inf + 0 572.377 * * [simplify]: Extracting #1: cost 13 inf + 0 572.377 * * [simplify]: Extracting #2: cost 110 inf + 0 572.378 * * [simplify]: Extracting #3: cost 175 inf + 84 572.379 * * [simplify]: Extracting #4: cost 171 inf + 1506 572.379 * * [simplify]: Extracting #5: cost 152 inf + 5916 572.384 * * [simplify]: Extracting #6: cost 76 inf + 33950 572.395 * * [simplify]: Extracting #7: cost 6 inf + 66170 572.407 * * [simplify]: Extracting #8: cost 0 inf + 69158 572.419 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 572.419 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 572.419 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 572.419 * * [simplify]: iters left: 6 (19 enodes) 572.424 * * [simplify]: iters left: 5 (76 enodes) 572.438 * * [simplify]: iters left: 4 (173 enodes) 572.485 * * [simplify]: Extracting #0: cost 1 inf + 0 572.485 * * [simplify]: Extracting #1: cost 14 inf + 0 572.485 * * [simplify]: Extracting #2: cost 90 inf + 0 572.486 * * [simplify]: Extracting #3: cost 150 inf + 1 572.486 * * [simplify]: Extracting #4: cost 151 inf + 286 572.487 * * [simplify]: Extracting #5: cost 139 inf + 2371 572.488 * * [simplify]: Extracting #6: cost 93 inf + 16977 572.496 * * [simplify]: Extracting #7: cost 13 inf + 53665 572.506 * * [simplify]: Extracting #8: cost 0 inf + 59778 572.519 * [simplify]: Simplified to (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 572.519 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 572.519 * * * * [progress]: [ 1110 / 2246 ] simplifiying candidate # 572.519 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 572.519 * * [simplify]: iters left: 6 (24 enodes) 572.526 * * [simplify]: iters left: 5 (95 enodes) 572.541 * * [simplify]: iters left: 4 (164 enodes) 572.576 * * [simplify]: iters left: 3 (425 enodes) 572.749 * * [simplify]: Extracting #0: cost 1 inf + 0 572.749 * * [simplify]: Extracting #1: cost 19 inf + 0 572.750 * * [simplify]: Extracting #2: cost 168 inf + 0 572.751 * * [simplify]: Extracting #3: cost 280 inf + 166 572.752 * * [simplify]: Extracting #4: cost 281 inf + 773 572.754 * * [simplify]: Extracting #5: cost 250 inf + 7785 572.761 * * [simplify]: Extracting #6: cost 145 inf + 47550 572.783 * * [simplify]: Extracting #7: cost 14 inf + 108163 572.808 * * [simplify]: Extracting #8: cost 0 inf + 115270 572.836 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) 572.836 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 572.836 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 572.836 * * [simplify]: iters left: 6 (20 enodes) 572.842 * * [simplify]: iters left: 5 (82 enodes) 572.855 * * [simplify]: iters left: 4 (138 enodes) 572.888 * * [simplify]: iters left: 3 (402 enodes) 573.066 * * [simplify]: Extracting #0: cost 1 inf + 0 573.066 * * [simplify]: Extracting #1: cost 0 inf + 1 573.066 * [simplify]: Simplified to 0 573.066 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 0))) 573.066 * * * * [progress]: [ 1111 / 2246 ] simplifiying candidate # 573.067 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 573.067 * * [simplify]: iters left: 6 (24 enodes) 573.073 * * [simplify]: iters left: 5 (95 enodes) 573.089 * * [simplify]: iters left: 4 (164 enodes) 573.128 * * [simplify]: iters left: 3 (425 enodes) 573.302 * * [simplify]: Extracting #0: cost 1 inf + 0 573.302 * * [simplify]: Extracting #1: cost 19 inf + 0 573.303 * * [simplify]: Extracting #2: cost 168 inf + 0 573.304 * * [simplify]: Extracting #3: cost 280 inf + 166 573.305 * * [simplify]: Extracting #4: cost 281 inf + 773 573.307 * * [simplify]: Extracting #5: cost 250 inf + 7785 573.314 * * [simplify]: Extracting #6: cost 145 inf + 47550 573.339 * * [simplify]: Extracting #7: cost 14 inf + 108163 573.364 * * [simplify]: Extracting #8: cost 0 inf + 115270 573.389 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) 573.390 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 573.390 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 573.390 * * [simplify]: iters left: 6 (20 enodes) 573.396 * * [simplify]: iters left: 5 (82 enodes) 573.409 * * [simplify]: iters left: 4 (138 enodes) 573.442 * * [simplify]: iters left: 3 (402 enodes) 573.619 * * [simplify]: Extracting #0: cost 1 inf + 0 573.619 * * [simplify]: Extracting #1: cost 0 inf + 1 573.619 * [simplify]: Simplified to 0 573.619 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 0))) 573.619 * * * * [progress]: [ 1112 / 2246 ] simplifiying candidate # 573.619 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 573.620 * * [simplify]: iters left: 6 (22 enodes) 573.625 * * [simplify]: iters left: 5 (85 enodes) 573.644 * * [simplify]: iters left: 4 (197 enodes) 573.694 * * [simplify]: Extracting #0: cost 1 inf + 0 573.694 * * [simplify]: Extracting #1: cost 13 inf + 0 573.694 * * [simplify]: Extracting #2: cost 110 inf + 0 573.695 * * [simplify]: Extracting #3: cost 175 inf + 84 573.696 * * [simplify]: Extracting #4: cost 171 inf + 1506 573.697 * * [simplify]: Extracting #5: cost 152 inf + 5916 573.703 * * [simplify]: Extracting #6: cost 76 inf + 33950 573.714 * * [simplify]: Extracting #7: cost 6 inf + 66170 573.726 * * [simplify]: Extracting #8: cost 0 inf + 69158 573.738 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) 573.738 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 573.738 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 573.738 * * [simplify]: iters left: 6 (19 enodes) 573.743 * * [simplify]: iters left: 5 (76 enodes) 573.757 * * [simplify]: iters left: 4 (173 enodes) 573.803 * * [simplify]: Extracting #0: cost 1 inf + 0 573.803 * * [simplify]: Extracting #1: cost 14 inf + 0 573.804 * * [simplify]: Extracting #2: cost 90 inf + 0 573.804 * * [simplify]: Extracting #3: cost 150 inf + 1 573.804 * * [simplify]: Extracting #4: cost 151 inf + 286 573.805 * * [simplify]: Extracting #5: cost 139 inf + 2371 573.807 * * [simplify]: Extracting #6: cost 93 inf + 16977 573.814 * * [simplify]: Extracting #7: cost 13 inf + 53665 573.824 * * [simplify]: Extracting #8: cost 0 inf + 59778 573.835 * [simplify]: Simplified to (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 573.835 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 573.835 * * * * [progress]: [ 1113 / 2246 ] simplifiying candidate # 573.835 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 573.836 * * [simplify]: iters left: 6 (23 enodes) 573.843 * * [simplify]: iters left: 5 (90 enodes) 573.858 * * [simplify]: iters left: 4 (195 enodes) 573.904 * * [simplify]: Extracting #0: cost 1 inf + 0 573.904 * * [simplify]: Extracting #1: cost 11 inf + 0 573.904 * * [simplify]: Extracting #2: cost 107 inf + 0 573.906 * * [simplify]: Extracting #3: cost 184 inf + 84 573.907 * * [simplify]: Extracting #4: cost 183 inf + 689 573.908 * * [simplify]: Extracting #5: cost 168 inf + 3576 573.909 * * [simplify]: Extracting #6: cost 145 inf + 9687 573.912 * * [simplify]: Extracting #7: cost 118 inf + 22093 573.925 * * [simplify]: Extracting #8: cost 19 inf + 76755 573.941 * * [simplify]: Extracting #9: cost 0 inf + 86377 573.957 * * [simplify]: Extracting #10: cost 0 inf + 86337 573.973 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt 1/2) (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 573.974 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt 1/2) (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 573.974 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 573.974 * * [simplify]: iters left: 6 (20 enodes) 573.979 * * [simplify]: iters left: 5 (81 enodes) 573.995 * * [simplify]: iters left: 4 (169 enodes) 574.035 * * [simplify]: Extracting #0: cost 1 inf + 0 574.035 * * [simplify]: Extracting #1: cost 22 inf + 0 574.036 * * [simplify]: Extracting #2: cost 104 inf + 0 574.036 * * [simplify]: Extracting #3: cost 169 inf + 0 574.037 * * [simplify]: Extracting #4: cost 160 inf + 1174 574.038 * * [simplify]: Extracting #5: cost 140 inf + 5986 574.039 * * [simplify]: Extracting #6: cost 136 inf + 7316 574.040 * * [simplify]: Extracting #7: cost 132 inf + 7868 574.045 * * [simplify]: Extracting #8: cost 72 inf + 39468 574.061 * * [simplify]: Extracting #9: cost 3 inf + 80030 574.076 * * [simplify]: Extracting #10: cost 0 inf + 81164 574.092 * * [simplify]: Extracting #11: cost 0 inf + 80644 574.107 * * [simplify]: Extracting #12: cost 0 inf + 80484 574.122 * [simplify]: Simplified to (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) 574.123 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) (- (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (/ (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))))))) 574.123 * * * * [progress]: [ 1114 / 2246 ] simplifiying candidate # 574.123 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 574.123 * * [simplify]: iters left: 6 (22 enodes) 574.129 * * [simplify]: iters left: 5 (84 enodes) 574.143 * * [simplify]: iters left: 4 (162 enodes) 574.178 * * [simplify]: iters left: 3 (425 enodes) 574.315 * * [simplify]: Extracting #0: cost 1 inf + 0 574.315 * * [simplify]: Extracting #1: cost 11 inf + 0 574.315 * * [simplify]: Extracting #2: cost 132 inf + 0 574.316 * * [simplify]: Extracting #3: cost 248 inf + 125 574.317 * * [simplify]: Extracting #4: cost 249 inf + 571 574.319 * * [simplify]: Extracting #5: cost 228 inf + 5021 574.323 * * [simplify]: Extracting #6: cost 175 inf + 24559 574.342 * * [simplify]: Extracting #7: cost 40 inf + 87629 574.367 * * [simplify]: Extracting #8: cost 0 inf + 107709 574.392 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 574.393 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 574.393 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 574.393 * * [simplify]: iters left: 6 (19 enodes) 574.399 * * [simplify]: iters left: 5 (75 enodes) 574.411 * * [simplify]: iters left: 4 (138 enodes) 574.439 * * [simplify]: iters left: 3 (364 enodes) 574.562 * * [simplify]: Extracting #0: cost 1 inf + 0 574.562 * * [simplify]: Extracting #1: cost 0 inf + 1 574.562 * [simplify]: Simplified to 0 574.562 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 574.563 * * * * [progress]: [ 1115 / 2246 ] simplifiying candidate # 574.563 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 574.563 * * [simplify]: iters left: 6 (21 enodes) 574.571 * * [simplify]: iters left: 5 (80 enodes) 574.584 * * [simplify]: iters left: 4 (153 enodes) 574.616 * * [simplify]: iters left: 3 (376 enodes) 574.757 * * [simplify]: Extracting #0: cost 1 inf + 0 574.757 * * [simplify]: Extracting #1: cost 11 inf + 0 574.757 * * [simplify]: Extracting #2: cost 110 inf + 0 574.758 * * [simplify]: Extracting #3: cost 187 inf + 84 574.759 * * [simplify]: Extracting #4: cost 189 inf + 369 574.760 * * [simplify]: Extracting #5: cost 168 inf + 3970 574.765 * * [simplify]: Extracting #6: cost 89 inf + 29769 574.781 * * [simplify]: Extracting #7: cost 6 inf + 64908 574.798 * * [simplify]: Extracting #8: cost 0 inf + 67846 574.817 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 574.817 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))))) 574.818 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1))) 574.818 * * [simplify]: iters left: 6 (18 enodes) 574.822 * * [simplify]: iters left: 5 (71 enodes) 574.834 * * [simplify]: iters left: 4 (130 enodes) 574.861 * * [simplify]: iters left: 3 (341 enodes) 574.986 * * [simplify]: Extracting #0: cost 1 inf + 0 574.986 * * [simplify]: Extracting #1: cost 0 inf + 1 574.986 * [simplify]: Simplified to 0 574.986 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 0))) 574.986 * * * * [progress]: [ 1116 / 2246 ] simplifiying candidate # 574.986 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) 574.986 * * [simplify]: iters left: 6 (23 enodes) 574.993 * * [simplify]: iters left: 5 (89 enodes) 575.006 * * [simplify]: iters left: 4 (141 enodes) 575.032 * * [simplify]: iters left: 3 (320 enodes) 575.128 * * [simplify]: Extracting #0: cost 1 inf + 0 575.128 * * [simplify]: Extracting #1: cost 11 inf + 0 575.128 * * [simplify]: Extracting #2: cost 83 inf + 0 575.129 * * [simplify]: Extracting #3: cost 169 inf + 2 575.130 * * [simplify]: Extracting #4: cost 169 inf + 1178 575.130 * * [simplify]: Extracting #5: cost 158 inf + 2992 575.132 * * [simplify]: Extracting #6: cost 134 inf + 10480 575.144 * * [simplify]: Extracting #7: cost 21 inf + 53496 575.158 * * [simplify]: Extracting #8: cost 0 inf + 61499 575.174 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 575.174 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))))) 575.174 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)))) 575.174 * * [simplify]: iters left: 6 (19 enodes) 575.179 * * [simplify]: iters left: 5 (76 enodes) 575.191 * * [simplify]: iters left: 4 (115 enodes) 575.212 * * [simplify]: iters left: 3 (283 enodes) 575.306 * * [simplify]: Extracting #0: cost 1 inf + 0 575.306 * * [simplify]: Extracting #1: cost 28 inf + 0 575.306 * * [simplify]: Extracting #2: cost 102 inf + 1 575.307 * * [simplify]: Extracting #3: cost 142 inf + 691 575.308 * * [simplify]: Extracting #4: cost 131 inf + 3683 575.310 * * [simplify]: Extracting #5: cost 102 inf + 11388 575.313 * * [simplify]: Extracting #6: cost 97 inf + 12896 575.319 * * [simplify]: Extracting #7: cost 45 inf + 33427 575.332 * * [simplify]: Extracting #8: cost 0 inf + 53907 575.345 * * [simplify]: Extracting #9: cost 0 inf + 53757 575.360 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 575.360 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 575.360 * * * * [progress]: [ 1117 / 2246 ] simplifiying candidate # 575.361 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) 575.361 * * [simplify]: iters left: 6 (23 enodes) 575.368 * * [simplify]: iters left: 5 (89 enodes) 575.381 * * [simplify]: iters left: 4 (141 enodes) 575.407 * * [simplify]: iters left: 3 (320 enodes) 575.502 * * [simplify]: Extracting #0: cost 1 inf + 0 575.502 * * [simplify]: Extracting #1: cost 11 inf + 0 575.502 * * [simplify]: Extracting #2: cost 83 inf + 0 575.503 * * [simplify]: Extracting #3: cost 169 inf + 2 575.504 * * [simplify]: Extracting #4: cost 169 inf + 1178 575.504 * * [simplify]: Extracting #5: cost 158 inf + 2992 575.506 * * [simplify]: Extracting #6: cost 134 inf + 10480 575.517 * * [simplify]: Extracting #7: cost 21 inf + 53496 575.532 * * [simplify]: Extracting #8: cost 0 inf + 61499 575.546 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) 575.546 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))))) 575.546 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1)))) 575.546 * * [simplify]: iters left: 6 (19 enodes) 575.554 * * [simplify]: iters left: 5 (76 enodes) 575.565 * * [simplify]: iters left: 4 (115 enodes) 575.586 * * [simplify]: iters left: 3 (283 enodes) 575.680 * * [simplify]: Extracting #0: cost 1 inf + 0 575.681 * * [simplify]: Extracting #1: cost 28 inf + 0 575.681 * * [simplify]: Extracting #2: cost 102 inf + 1 575.681 * * [simplify]: Extracting #3: cost 142 inf + 691 575.682 * * [simplify]: Extracting #4: cost 131 inf + 3683 575.684 * * [simplify]: Extracting #5: cost 102 inf + 11388 575.687 * * [simplify]: Extracting #6: cost 97 inf + 12896 575.694 * * [simplify]: Extracting #7: cost 45 inf + 33427 575.706 * * [simplify]: Extracting #8: cost 0 inf + 53907 575.719 * * [simplify]: Extracting #9: cost 0 inf + 53757 575.733 * [simplify]: Simplified to (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 575.733 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (sqrt 1))))) (- (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (cbrt 1/2) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 575.733 * * * * [progress]: [ 1118 / 2246 ] simplifiying candidate # 575.733 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 575.733 * * [simplify]: iters left: 6 (21 enodes) 575.740 * * [simplify]: iters left: 5 (80 enodes) 575.753 * * [simplify]: iters left: 4 (153 enodes) 575.785 * * [simplify]: iters left: 3 (376 enodes) 576.185 * * [simplify]: Extracting #0: cost 1 inf + 0 576.185 * * [simplify]: Extracting #1: cost 11 inf + 0 576.185 * * [simplify]: Extracting #2: cost 110 inf + 0 576.186 * * [simplify]: Extracting #3: cost 187 inf + 84 576.187 * * [simplify]: Extracting #4: cost 189 inf + 369 576.188 * * [simplify]: Extracting #5: cost 168 inf + 3970 576.194 * * [simplify]: Extracting #6: cost 89 inf + 29769 576.209 * * [simplify]: Extracting #7: cost 6 inf + 64908 576.226 * * [simplify]: Extracting #8: cost 0 inf + 67846 576.245 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 576.245 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))))) 576.246 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1) (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1))) 576.246 * * [simplify]: iters left: 6 (18 enodes) 576.250 * * [simplify]: iters left: 5 (71 enodes) 576.262 * * [simplify]: iters left: 4 (130 enodes) 576.289 * * [simplify]: iters left: 3 (341 enodes) 576.414 * * [simplify]: Extracting #0: cost 1 inf + 0 576.414 * * [simplify]: Extracting #1: cost 0 inf + 1 576.414 * [simplify]: Simplified to 0 576.414 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1)))) 0))) 576.414 * * * * [progress]: [ 1119 / 2246 ] simplifiying candidate # 576.414 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 576.415 * * [simplify]: iters left: 6 (22 enodes) 576.420 * * [simplify]: iters left: 5 (85 enodes) 576.435 * * [simplify]: iters left: 4 (187 enodes) 576.480 * * [simplify]: Extracting #0: cost 1 inf + 0 576.480 * * [simplify]: Extracting #1: cost 11 inf + 0 576.480 * * [simplify]: Extracting #2: cost 91 inf + 0 576.481 * * [simplify]: Extracting #3: cost 154 inf + 2 576.481 * * [simplify]: Extracting #4: cost 143 inf + 1153 576.482 * * [simplify]: Extracting #5: cost 122 inf + 5735 576.483 * * [simplify]: Extracting #6: cost 122 inf + 5833 576.484 * * [simplify]: Extracting #7: cost 117 inf + 6603 576.489 * * [simplify]: Extracting #8: cost 62 inf + 31553 576.500 * * [simplify]: Extracting #9: cost 3 inf + 61855 576.513 * * [simplify]: Extracting #10: cost 0 inf + 63229 576.526 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (hypot 1 x))) 576.526 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (* (* (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (/ (cbrt 1/2) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (hypot 1 x))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 576.527 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 576.527 * * [simplify]: iters left: 6 (19 enodes) 576.532 * * [simplify]: iters left: 5 (76 enodes) 576.544 * * [simplify]: iters left: 4 (163 enodes) 576.584 * * [simplify]: iters left: 3 (466 enodes) 576.794 * * [simplify]: Extracting #0: cost 1 inf + 0 576.794 * * [simplify]: Extracting #1: cost 0 inf + 1 576.794 * [simplify]: Simplified to 0 576.794 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 576.795 * * * * [progress]: [ 1120 / 2246 ] simplifiying candidate # 576.795 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 576.795 * * [simplify]: iters left: 6 (21 enodes) 576.800 * * [simplify]: iters left: 5 (80 enodes) 576.816 * * [simplify]: iters left: 4 (154 enodes) 576.848 * * [simplify]: iters left: 3 (378 enodes) 576.977 * * [simplify]: Extracting #0: cost 1 inf + 0 576.977 * * [simplify]: Extracting #1: cost 11 inf + 0 576.978 * * [simplify]: Extracting #2: cost 102 inf + 0 576.978 * * [simplify]: Extracting #3: cost 200 inf + 126 576.979 * * [simplify]: Extracting #4: cost 187 inf + 1956 576.981 * * [simplify]: Extracting #5: cost 154 inf + 8176 576.987 * * [simplify]: Extracting #6: cost 119 inf + 19392 577.000 * * [simplify]: Extracting #7: cost 22 inf + 61820 577.017 * * [simplify]: Extracting #8: cost 0 inf + 70920 577.035 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 577.035 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 577.036 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 577.036 * * [simplify]: iters left: 6 (18 enodes) 577.040 * * [simplify]: iters left: 5 (71 enodes) 577.052 * * [simplify]: iters left: 4 (132 enodes) 577.081 * * [simplify]: iters left: 3 (327 enodes) 577.195 * * [simplify]: Extracting #0: cost 1 inf + 0 577.195 * * [simplify]: Extracting #1: cost 0 inf + 1 577.195 * [simplify]: Simplified to 0 577.195 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 577.195 * * * * [progress]: [ 1121 / 2246 ] simplifiying candidate # 577.196 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 577.196 * * [simplify]: iters left: 6 (20 enodes) 577.201 * * [simplify]: iters left: 5 (71 enodes) 577.212 * * [simplify]: iters left: 4 (139 enodes) 577.240 * * [simplify]: iters left: 3 (301 enodes) 577.328 * * [simplify]: Extracting #0: cost 1 inf + 0 577.328 * * [simplify]: Extracting #1: cost 13 inf + 0 577.328 * * [simplify]: Extracting #2: cost 116 inf + 0 577.329 * * [simplify]: Extracting #3: cost 155 inf + 85 577.329 * * [simplify]: Extracting #4: cost 144 inf + 1577 577.331 * * [simplify]: Extracting #5: cost 111 inf + 8474 577.338 * * [simplify]: Extracting #6: cost 32 inf + 37133 577.350 * * [simplify]: Extracting #7: cost 0 inf + 50000 577.361 * * [simplify]: Extracting #8: cost 0 inf + 49935 577.371 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 577.372 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))))) 577.372 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1))) 577.372 * * [simplify]: iters left: 6 (17 enodes) 577.376 * * [simplify]: iters left: 5 (62 enodes) 577.387 * * [simplify]: iters left: 4 (117 enodes) 577.408 * * [simplify]: iters left: 3 (259 enodes) 577.479 * * [simplify]: Extracting #0: cost 1 inf + 0 577.479 * * [simplify]: Extracting #1: cost 0 inf + 1 577.479 * [simplify]: Simplified to 0 577.479 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 0))) 577.479 * * * * [progress]: [ 1122 / 2246 ] simplifiying candidate # 577.480 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 577.480 * * [simplify]: iters left: 6 (22 enodes) 577.487 * * [simplify]: iters left: 5 (84 enodes) 577.500 * * [simplify]: iters left: 4 (149 enodes) 577.527 * * [simplify]: iters left: 3 (323 enodes) 577.627 * * [simplify]: Extracting #0: cost 1 inf + 0 577.627 * * [simplify]: Extracting #1: cost 13 inf + 0 577.627 * * [simplify]: Extracting #2: cost 112 inf + 0 577.628 * * [simplify]: Extracting #3: cost 158 inf + 126 577.628 * * [simplify]: Extracting #4: cost 144 inf + 2207 577.630 * * [simplify]: Extracting #5: cost 111 inf + 8645 577.636 * * [simplify]: Extracting #6: cost 51 inf + 30397 577.646 * * [simplify]: Extracting #7: cost 5 inf + 48386 577.657 * * [simplify]: Extracting #8: cost 0 inf + 50176 577.671 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 577.671 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))))) 577.671 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)))) 577.671 * * [simplify]: iters left: 6 (18 enodes) 577.676 * * [simplify]: iters left: 5 (71 enodes) 577.687 * * [simplify]: iters left: 4 (123 enodes) 577.710 * * [simplify]: iters left: 3 (278 enodes) 577.788 * * [simplify]: Extracting #0: cost 1 inf + 0 577.788 * * [simplify]: Extracting #1: cost 0 inf + 1 577.788 * [simplify]: Simplified to 0 577.788 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 577.788 * * * * [progress]: [ 1123 / 2246 ] simplifiying candidate # 577.789 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))) 577.789 * * [simplify]: iters left: 6 (22 enodes) 577.796 * * [simplify]: iters left: 5 (84 enodes) 577.808 * * [simplify]: iters left: 4 (149 enodes) 577.835 * * [simplify]: iters left: 3 (323 enodes) 577.933 * * [simplify]: Extracting #0: cost 1 inf + 0 577.933 * * [simplify]: Extracting #1: cost 13 inf + 0 577.934 * * [simplify]: Extracting #2: cost 112 inf + 0 577.934 * * [simplify]: Extracting #3: cost 158 inf + 126 577.935 * * [simplify]: Extracting #4: cost 144 inf + 2207 577.937 * * [simplify]: Extracting #5: cost 111 inf + 8645 577.942 * * [simplify]: Extracting #6: cost 51 inf + 30397 577.953 * * [simplify]: Extracting #7: cost 5 inf + 48386 577.966 * * [simplify]: Extracting #8: cost 0 inf + 50176 577.977 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 577.978 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1))))))) 577.978 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt 1)))) 577.978 * * [simplify]: iters left: 6 (18 enodes) 577.983 * * [simplify]: iters left: 5 (71 enodes) 577.994 * * [simplify]: iters left: 4 (123 enodes) 578.017 * * [simplify]: iters left: 3 (278 enodes) 578.095 * * [simplify]: Extracting #0: cost 1 inf + 0 578.095 * * [simplify]: Extracting #1: cost 0 inf + 1 578.095 * [simplify]: Simplified to 0 578.095 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 578.096 * * * * [progress]: [ 1124 / 2246 ] simplifiying candidate # 578.096 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 578.096 * * [simplify]: iters left: 6 (20 enodes) 578.101 * * [simplify]: iters left: 5 (71 enodes) 578.113 * * [simplify]: iters left: 4 (139 enodes) 578.138 * * [simplify]: iters left: 3 (301 enodes) 578.227 * * [simplify]: Extracting #0: cost 1 inf + 0 578.227 * * [simplify]: Extracting #1: cost 13 inf + 0 578.227 * * [simplify]: Extracting #2: cost 116 inf + 0 578.228 * * [simplify]: Extracting #3: cost 155 inf + 85 578.229 * * [simplify]: Extracting #4: cost 144 inf + 1577 578.230 * * [simplify]: Extracting #5: cost 111 inf + 8474 578.237 * * [simplify]: Extracting #6: cost 32 inf + 37133 578.248 * * [simplify]: Extracting #7: cost 0 inf + 50000 578.259 * * [simplify]: Extracting #8: cost 0 inf + 49935 578.271 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 578.271 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))))) 578.271 * [simplify]: Simplifying (fma (- (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1))) 578.272 * * [simplify]: iters left: 6 (17 enodes) 578.276 * * [simplify]: iters left: 5 (62 enodes) 578.286 * * [simplify]: iters left: 4 (117 enodes) 578.308 * * [simplify]: iters left: 3 (259 enodes) 578.376 * * [simplify]: Extracting #0: cost 1 inf + 0 578.376 * * [simplify]: Extracting #1: cost 0 inf + 1 578.376 * [simplify]: Simplified to 0 578.376 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (cbrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1)))) 0))) 578.377 * * * * [progress]: [ 1125 / 2246 ] simplifiying candidate # 578.377 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 578.377 * * [simplify]: iters left: 6 (22 enodes) 578.382 * * [simplify]: iters left: 5 (87 enodes) 578.399 * * [simplify]: iters left: 4 (194 enodes) 578.447 * * [simplify]: Extracting #0: cost 1 inf + 0 578.447 * * [simplify]: Extracting #1: cost 11 inf + 0 578.447 * * [simplify]: Extracting #2: cost 107 inf + 0 578.448 * * [simplify]: Extracting #3: cost 194 inf + 84 578.448 * * [simplify]: Extracting #4: cost 194 inf + 488 578.449 * * [simplify]: Extracting #5: cost 187 inf + 2028 578.454 * * [simplify]: Extracting #6: cost 127 inf + 22963 578.467 * * [simplify]: Extracting #7: cost 23 inf + 77275 578.484 * * [simplify]: Extracting #8: cost 0 inf + 89609 578.501 * * [simplify]: Extracting #9: cost 0 inf + 89329 578.518 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 578.518 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 578.519 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 578.519 * * [simplify]: iters left: 6 (20 enodes) 578.524 * * [simplify]: iters left: 5 (80 enodes) 578.537 * * [simplify]: iters left: 4 (163 enodes) 578.575 * * [simplify]: iters left: 3 (493 enodes) 578.770 * * [simplify]: Extracting #0: cost 1 inf + 0 578.770 * * [simplify]: Extracting #1: cost 0 inf + 1 578.770 * [simplify]: Simplified to 0 578.770 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 578.771 * * * * [progress]: [ 1126 / 2246 ] simplifiying candidate # 578.771 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 578.771 * * [simplify]: iters left: 6 (21 enodes) 578.776 * * [simplify]: iters left: 5 (82 enodes) 578.789 * * [simplify]: iters left: 4 (163 enodes) 578.827 * * [simplify]: iters left: 3 (446 enodes) 578.963 * * [simplify]: Extracting #0: cost 1 inf + 0 578.963 * * [simplify]: Extracting #1: cost 11 inf + 0 578.964 * * [simplify]: Extracting #2: cost 132 inf + 0 578.965 * * [simplify]: Extracting #3: cost 276 inf + 126 578.966 * * [simplify]: Extracting #4: cost 280 inf + 248 578.967 * * [simplify]: Extracting #5: cost 268 inf + 2822 578.970 * * [simplify]: Extracting #6: cost 214 inf + 16608 578.978 * * [simplify]: Extracting #7: cost 157 inf + 38918 578.998 * * [simplify]: Extracting #8: cost 35 inf + 97159 579.023 * * [simplify]: Extracting #9: cost 0 inf + 113553 579.049 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 579.049 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 579.049 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 579.050 * * [simplify]: iters left: 6 (19 enodes) 579.054 * * [simplify]: iters left: 5 (75 enodes) 579.067 * * [simplify]: iters left: 4 (134 enodes) 579.093 * * [simplify]: iters left: 3 (346 enodes) 579.193 * * [simplify]: Extracting #0: cost 1 inf + 0 579.193 * * [simplify]: Extracting #1: cost 0 inf + 1 579.193 * [simplify]: Simplified to 0 579.193 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 579.193 * * * * [progress]: [ 1127 / 2246 ] simplifiying candidate # 579.193 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 579.193 * * [simplify]: iters left: 6 (20 enodes) 579.198 * * [simplify]: iters left: 5 (77 enodes) 579.211 * * [simplify]: iters left: 4 (140 enodes) 579.237 * * [simplify]: iters left: 3 (317 enodes) 579.327 * * [simplify]: Extracting #0: cost 1 inf + 0 579.328 * * [simplify]: Extracting #1: cost 14 inf + 0 579.328 * * [simplify]: Extracting #2: cost 94 inf + 0 579.328 * * [simplify]: Extracting #3: cost 174 inf + 125 579.329 * * [simplify]: Extracting #4: cost 173 inf + 654 579.330 * * [simplify]: Extracting #5: cost 155 inf + 4695 579.334 * * [simplify]: Extracting #6: cost 91 inf + 24943 579.346 * * [simplify]: Extracting #7: cost 5 inf + 60189 579.362 * * [simplify]: Extracting #8: cost 0 inf + 61510 579.375 * * [simplify]: Extracting #9: cost 0 inf + 61460 579.389 * [simplify]: Simplified to (+ (/ (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 579.389 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 579.389 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 579.389 * * [simplify]: iters left: 6 (18 enodes) 579.394 * * [simplify]: iters left: 5 (70 enodes) 579.405 * * [simplify]: iters left: 4 (126 enodes) 579.431 * * [simplify]: iters left: 3 (322 enodes) 579.529 * * [simplify]: Extracting #0: cost 1 inf + 0 579.529 * * [simplify]: Extracting #1: cost 0 inf + 1 579.529 * [simplify]: Simplified to 0 579.529 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 579.530 * * * * [progress]: [ 1128 / 2246 ] simplifiying candidate # 579.530 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 579.530 * * [simplify]: iters left: 6 (22 enodes) 579.536 * * [simplify]: iters left: 5 (86 enodes) 579.551 * * [simplify]: iters left: 4 (136 enodes) 579.576 * * [simplify]: iters left: 3 (297 enodes) 579.662 * * [simplify]: Extracting #0: cost 1 inf + 0 579.662 * * [simplify]: Extracting #1: cost 17 inf + 0 579.662 * * [simplify]: Extracting #2: cost 105 inf + 0 579.662 * * [simplify]: Extracting #3: cost 176 inf + 84 579.663 * * [simplify]: Extracting #4: cost 178 inf + 369 579.664 * * [simplify]: Extracting #5: cost 167 inf + 2747 579.669 * * [simplify]: Extracting #6: cost 92 inf + 25872 579.679 * * [simplify]: Extracting #7: cost 13 inf + 58162 579.692 * * [simplify]: Extracting #8: cost 0 inf + 62817 579.705 * * [simplify]: Extracting #9: cost 0 inf + 62767 579.718 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 579.718 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 579.718 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 579.718 * * [simplify]: iters left: 6 (19 enodes) 579.724 * * [simplify]: iters left: 5 (75 enodes) 579.736 * * [simplify]: iters left: 4 (111 enodes) 579.756 * * [simplify]: iters left: 3 (244 enodes) 579.819 * * [simplify]: Extracting #0: cost 1 inf + 0 579.819 * * [simplify]: Extracting #1: cost 18 inf + 0 579.820 * * [simplify]: Extracting #2: cost 75 inf + 1 579.820 * * [simplify]: Extracting #3: cost 123 inf + 1 579.821 * * [simplify]: Extracting #4: cost 115 inf + 1708 579.822 * * [simplify]: Extracting #5: cost 83 inf + 10385 579.825 * * [simplify]: Extracting #6: cost 78 inf + 11373 579.830 * * [simplify]: Extracting #7: cost 25 inf + 31967 579.840 * * [simplify]: Extracting #8: cost 0 inf + 41997 579.850 * * [simplify]: Extracting #9: cost 0 inf + 41872 579.859 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 579.859 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))))))) 579.860 * * * * [progress]: [ 1129 / 2246 ] simplifiying candidate # 579.860 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 579.860 * * [simplify]: iters left: 6 (22 enodes) 579.867 * * [simplify]: iters left: 5 (86 enodes) 579.881 * * [simplify]: iters left: 4 (136 enodes) 579.906 * * [simplify]: iters left: 3 (297 enodes) 579.991 * * [simplify]: Extracting #0: cost 1 inf + 0 579.991 * * [simplify]: Extracting #1: cost 17 inf + 0 579.991 * * [simplify]: Extracting #2: cost 105 inf + 0 579.992 * * [simplify]: Extracting #3: cost 176 inf + 84 579.993 * * [simplify]: Extracting #4: cost 178 inf + 369 579.994 * * [simplify]: Extracting #5: cost 167 inf + 2747 579.999 * * [simplify]: Extracting #6: cost 92 inf + 25872 580.009 * * [simplify]: Extracting #7: cost 13 inf + 58162 580.021 * * [simplify]: Extracting #8: cost 0 inf + 62817 580.035 * * [simplify]: Extracting #9: cost 0 inf + 62767 580.047 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 580.047 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 580.048 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 580.048 * * [simplify]: iters left: 6 (19 enodes) 580.054 * * [simplify]: iters left: 5 (75 enodes) 580.065 * * [simplify]: iters left: 4 (111 enodes) 580.085 * * [simplify]: iters left: 3 (244 enodes) 580.149 * * [simplify]: Extracting #0: cost 1 inf + 0 580.149 * * [simplify]: Extracting #1: cost 18 inf + 0 580.149 * * [simplify]: Extracting #2: cost 75 inf + 1 580.149 * * [simplify]: Extracting #3: cost 123 inf + 1 580.150 * * [simplify]: Extracting #4: cost 115 inf + 1708 580.151 * * [simplify]: Extracting #5: cost 83 inf + 10385 580.154 * * [simplify]: Extracting #6: cost 78 inf + 11373 580.160 * * [simplify]: Extracting #7: cost 25 inf + 31967 580.169 * * [simplify]: Extracting #8: cost 0 inf + 41997 580.179 * * [simplify]: Extracting #9: cost 0 inf + 41872 580.189 * [simplify]: Simplified to (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))))) 580.189 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)))))))) 580.189 * * * * [progress]: [ 1130 / 2246 ] simplifiying candidate # 580.190 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 580.190 * * [simplify]: iters left: 6 (20 enodes) 580.195 * * [simplify]: iters left: 5 (77 enodes) 580.207 * * [simplify]: iters left: 4 (140 enodes) 580.236 * * [simplify]: iters left: 3 (317 enodes) 580.326 * * [simplify]: Extracting #0: cost 1 inf + 0 580.327 * * [simplify]: Extracting #1: cost 14 inf + 0 580.327 * * [simplify]: Extracting #2: cost 94 inf + 0 580.327 * * [simplify]: Extracting #3: cost 174 inf + 125 580.328 * * [simplify]: Extracting #4: cost 173 inf + 654 580.329 * * [simplify]: Extracting #5: cost 155 inf + 4695 580.333 * * [simplify]: Extracting #6: cost 91 inf + 24943 580.345 * * [simplify]: Extracting #7: cost 5 inf + 60189 580.359 * * [simplify]: Extracting #8: cost 0 inf + 61510 580.372 * * [simplify]: Extracting #9: cost 0 inf + 61460 580.386 * [simplify]: Simplified to (+ (/ (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 580.386 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (+ (/ (/ (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 580.387 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 580.387 * * [simplify]: iters left: 6 (18 enodes) 580.392 * * [simplify]: iters left: 5 (70 enodes) 580.404 * * [simplify]: iters left: 4 (126 enodes) 580.430 * * [simplify]: iters left: 3 (322 enodes) 580.530 * * [simplify]: Extracting #0: cost 1 inf + 0 580.530 * * [simplify]: Extracting #1: cost 0 inf + 1 580.530 * [simplify]: Simplified to 0 580.530 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 580.530 * * * * [progress]: [ 1131 / 2246 ] simplifiying candidate # 580.531 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 580.531 * * [simplify]: iters left: 6 (20 enodes) 580.536 * * [simplify]: iters left: 5 (78 enodes) 580.548 * * [simplify]: iters left: 4 (161 enodes) 580.580 * * [simplify]: iters left: 3 (403 enodes) 580.698 * * [simplify]: Extracting #0: cost 1 inf + 0 580.698 * * [simplify]: Extracting #1: cost 11 inf + 0 580.698 * * [simplify]: Extracting #2: cost 105 inf + 0 580.699 * * [simplify]: Extracting #3: cost 211 inf + 85 580.699 * * [simplify]: Extracting #4: cost 215 inf + 249 580.700 * * [simplify]: Extracting #5: cost 207 inf + 1552 580.703 * * [simplify]: Extracting #6: cost 163 inf + 15603 580.719 * * [simplify]: Extracting #7: cost 40 inf + 74025 580.744 * * [simplify]: Extracting #8: cost 0 inf + 94907 580.768 * * [simplify]: Extracting #9: cost 0 inf + 94587 580.793 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 580.793 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 580.794 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 580.794 * * [simplify]: iters left: 6 (18 enodes) 580.798 * * [simplify]: iters left: 5 (72 enodes) 580.810 * * [simplify]: iters left: 4 (139 enodes) 580.836 * * [simplify]: iters left: 3 (344 enodes) 580.931 * * [simplify]: Extracting #0: cost 1 inf + 0 580.931 * * [simplify]: Extracting #1: cost 0 inf + 1 580.931 * [simplify]: Simplified to 0 580.931 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 580.932 * * * * [progress]: [ 1132 / 2246 ] simplifiying candidate # 580.932 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 580.932 * * [simplify]: iters left: 6 (18 enodes) 580.936 * * [simplify]: iters left: 5 (67 enodes) 580.946 * * [simplify]: iters left: 4 (119 enodes) 580.967 * * [simplify]: iters left: 3 (266 enodes) 581.025 * * [simplify]: Extracting #0: cost 1 inf + 0 581.025 * * [simplify]: Extracting #1: cost 9 inf + 0 581.025 * * [simplify]: Extracting #2: cost 75 inf + 0 581.025 * * [simplify]: Extracting #3: cost 135 inf + 3 581.026 * * [simplify]: Extracting #4: cost 139 inf + 125 581.026 * * [simplify]: Extracting #5: cost 135 inf + 444 581.027 * * [simplify]: Extracting #6: cost 111 inf + 5252 581.034 * * [simplify]: Extracting #7: cost 50 inf + 27233 581.044 * * [simplify]: Extracting #8: cost 7 inf + 45292 581.056 * * [simplify]: Extracting #9: cost 0 inf + 48418 581.067 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (sqrt (hypot 1 x))))) 581.067 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (sqrt (hypot 1 x))))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 581.067 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 581.067 * * [simplify]: iters left: 6 (16 enodes) 581.071 * * [simplify]: iters left: 5 (62 enodes) 581.081 * * [simplify]: iters left: 4 (105 enodes) 581.099 * * [simplify]: iters left: 3 (234 enodes) 581.149 * * [simplify]: Extracting #0: cost 1 inf + 0 581.149 * * [simplify]: Extracting #1: cost 0 inf + 1 581.149 * [simplify]: Simplified to 0 581.150 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 581.150 * * * * [progress]: [ 1133 / 2246 ] simplifiying candidate # 581.150 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 581.150 * * [simplify]: iters left: 6 (18 enodes) 581.154 * * [simplify]: iters left: 5 (69 enodes) 581.167 * * [simplify]: iters left: 4 (117 enodes) 581.188 * * [simplify]: iters left: 3 (239 enodes) 581.245 * * [simplify]: iters left: 2 (495 enodes) 581.392 * * [simplify]: Extracting #0: cost 1 inf + 0 581.392 * * [simplify]: Extracting #1: cost 23 inf + 0 581.392 * * [simplify]: Extracting #2: cost 71 inf + 1 581.393 * * [simplify]: Extracting #3: cost 106 inf + 3 581.393 * * [simplify]: Extracting #4: cost 109 inf + 282 581.394 * * [simplify]: Extracting #5: cost 79 inf + 5314 581.401 * * [simplify]: Extracting #6: cost 14 inf + 24695 581.410 * * [simplify]: Extracting #7: cost 0 inf + 29213 581.419 * * [simplify]: Extracting #8: cost 0 inf + 29133 581.428 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 581.428 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))))) 581.429 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1))) 581.429 * * [simplify]: iters left: 6 (16 enodes) 581.433 * * [simplify]: iters left: 5 (63 enodes) 581.443 * * [simplify]: iters left: 4 (113 enodes) 581.466 * * [simplify]: iters left: 3 (256 enodes) 581.531 * * [simplify]: Extracting #0: cost 1 inf + 0 581.531 * * [simplify]: Extracting #1: cost 0 inf + 1 581.531 * [simplify]: Simplified to 0 581.531 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 0))) 581.531 * * * * [progress]: [ 1134 / 2246 ] simplifiying candidate # 581.532 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 581.532 * * [simplify]: iters left: 6 (20 enodes) 581.537 * * [simplify]: iters left: 5 (78 enodes) 581.548 * * [simplify]: iters left: 4 (118 enodes) 581.569 * * [simplify]: iters left: 3 (244 enodes) 581.625 * * [simplify]: iters left: 2 (479 enodes) 581.747 * * [simplify]: Extracting #0: cost 1 inf + 0 581.747 * * [simplify]: Extracting #1: cost 24 inf + 0 581.747 * * [simplify]: Extracting #2: cost 70 inf + 1 581.748 * * [simplify]: Extracting #3: cost 106 inf + 3 581.748 * * [simplify]: Extracting #4: cost 102 inf + 557 581.751 * * [simplify]: Extracting #5: cost 46 inf + 13284 581.759 * * [simplify]: Extracting #6: cost 4 inf + 26113 581.767 * * [simplify]: Extracting #7: cost 0 inf + 27545 581.775 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 581.776 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))))) 581.776 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)))) 581.776 * * [simplify]: iters left: 6 (17 enodes) 581.781 * * [simplify]: iters left: 5 (68 enodes) 581.791 * * [simplify]: iters left: 4 (101 enodes) 581.808 * * [simplify]: iters left: 3 (206 enodes) 581.852 * * [simplify]: iters left: 2 (407 enodes) 581.964 * * [simplify]: Extracting #0: cost 1 inf + 0 581.964 * * [simplify]: Extracting #1: cost 0 inf + 1 581.964 * [simplify]: Simplified to 0 581.964 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 581.964 * * * * [progress]: [ 1135 / 2246 ] simplifiying candidate # 581.964 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 581.965 * * [simplify]: iters left: 6 (20 enodes) 581.971 * * [simplify]: iters left: 5 (78 enodes) 581.982 * * [simplify]: iters left: 4 (118 enodes) 582.005 * * [simplify]: iters left: 3 (244 enodes) 582.061 * * [simplify]: iters left: 2 (479 enodes) 582.182 * * [simplify]: Extracting #0: cost 1 inf + 0 582.182 * * [simplify]: Extracting #1: cost 24 inf + 0 582.182 * * [simplify]: Extracting #2: cost 70 inf + 1 582.183 * * [simplify]: Extracting #3: cost 106 inf + 3 582.183 * * [simplify]: Extracting #4: cost 102 inf + 557 582.186 * * [simplify]: Extracting #5: cost 46 inf + 13284 582.194 * * [simplify]: Extracting #6: cost 4 inf + 26113 582.202 * * [simplify]: Extracting #7: cost 0 inf + 27545 582.211 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 582.211 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))))) 582.211 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1)))) 582.211 * * [simplify]: iters left: 6 (17 enodes) 582.216 * * [simplify]: iters left: 5 (68 enodes) 582.226 * * [simplify]: iters left: 4 (101 enodes) 582.245 * * [simplify]: iters left: 3 (206 enodes) 582.288 * * [simplify]: iters left: 2 (407 enodes) 582.397 * * [simplify]: Extracting #0: cost 1 inf + 0 582.397 * * [simplify]: Extracting #1: cost 0 inf + 1 582.397 * [simplify]: Simplified to 0 582.397 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 582.397 * * * * [progress]: [ 1136 / 2246 ] simplifiying candidate # 582.397 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 582.397 * * [simplify]: iters left: 6 (18 enodes) 582.403 * * [simplify]: iters left: 5 (69 enodes) 582.414 * * [simplify]: iters left: 4 (117 enodes) 582.435 * * [simplify]: iters left: 3 (239 enodes) 582.492 * * [simplify]: iters left: 2 (495 enodes) 582.639 * * [simplify]: Extracting #0: cost 1 inf + 0 582.639 * * [simplify]: Extracting #1: cost 23 inf + 0 582.639 * * [simplify]: Extracting #2: cost 71 inf + 1 582.639 * * [simplify]: Extracting #3: cost 106 inf + 3 582.640 * * [simplify]: Extracting #4: cost 109 inf + 282 582.641 * * [simplify]: Extracting #5: cost 79 inf + 5314 582.648 * * [simplify]: Extracting #6: cost 14 inf + 24695 582.657 * * [simplify]: Extracting #7: cost 0 inf + 29213 582.666 * * [simplify]: Extracting #8: cost 0 inf + 29133 582.675 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 582.675 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))))) 582.676 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1))) 582.676 * * [simplify]: iters left: 6 (16 enodes) 582.680 * * [simplify]: iters left: 5 (63 enodes) 582.690 * * [simplify]: iters left: 4 (113 enodes) 582.713 * * [simplify]: iters left: 3 (256 enodes) 582.778 * * [simplify]: Extracting #0: cost 1 inf + 0 582.778 * * [simplify]: Extracting #1: cost 0 inf + 1 582.778 * [simplify]: Simplified to 0 582.778 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1)))) 0))) 582.778 * * * * [progress]: [ 1137 / 2246 ] simplifiying candidate # 582.778 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 582.778 * * [simplify]: iters left: 6 (19 enodes) 582.783 * * [simplify]: iters left: 5 (76 enodes) 582.795 * * [simplify]: iters left: 4 (152 enodes) 582.828 * * [simplify]: iters left: 3 (352 enodes) 582.931 * * [simplify]: Extracting #0: cost 1 inf + 0 582.931 * * [simplify]: Extracting #1: cost 14 inf + 0 582.931 * * [simplify]: Extracting #2: cost 87 inf + 0 582.932 * * [simplify]: Extracting #3: cost 143 inf + 2 582.933 * * [simplify]: Extracting #4: cost 133 inf + 1035 582.933 * * [simplify]: Extracting #5: cost 121 inf + 2659 582.938 * * [simplify]: Extracting #6: cost 59 inf + 28260 582.952 * * [simplify]: Extracting #7: cost 4 inf + 52813 582.968 * * [simplify]: Extracting #8: cost 0 inf + 54763 582.983 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 582.983 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 582.984 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 582.984 * * [simplify]: iters left: 6 (18 enodes) 582.988 * * [simplify]: iters left: 5 (71 enodes) 583.000 * * [simplify]: iters left: 4 (135 enodes) 583.029 * * [simplify]: iters left: 3 (317 enodes) 583.121 * * [simplify]: Extracting #0: cost 1 inf + 0 583.121 * * [simplify]: Extracting #1: cost 0 inf + 1 583.121 * [simplify]: Simplified to 0 583.121 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 583.122 * * * * [progress]: [ 1138 / 2246 ] simplifiying candidate # 583.122 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 583.122 * * [simplify]: iters left: 6 (18 enodes) 583.126 * * [simplify]: iters left: 5 (71 enodes) 583.137 * * [simplify]: iters left: 4 (126 enodes) 583.160 * * [simplify]: iters left: 3 (256 enodes) 583.221 * * [simplify]: iters left: 2 (459 enodes) 583.340 * * [simplify]: Extracting #0: cost 1 inf + 0 583.340 * * [simplify]: Extracting #1: cost 31 inf + 0 583.340 * * [simplify]: Extracting #2: cost 85 inf + 1 583.341 * * [simplify]: Extracting #3: cost 119 inf + 3 583.341 * * [simplify]: Extracting #4: cost 114 inf + 436 583.342 * * [simplify]: Extracting #5: cost 90 inf + 4116 583.347 * * [simplify]: Extracting #6: cost 30 inf + 23262 583.358 * * [simplify]: Extracting #7: cost 1 inf + 34106 583.369 * * [simplify]: Extracting #8: cost 0 inf + 34444 583.380 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) 583.380 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 583.380 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 583.380 * * [simplify]: iters left: 6 (17 enodes) 583.385 * * [simplify]: iters left: 5 (66 enodes) 583.395 * * [simplify]: iters left: 4 (111 enodes) 583.416 * * [simplify]: iters left: 3 (224 enodes) 583.464 * * [simplify]: iters left: 2 (415 enodes) 583.560 * * [simplify]: Extracting #0: cost 1 inf + 0 583.561 * * [simplify]: Extracting #1: cost 0 inf + 1 583.561 * [simplify]: Simplified to 0 583.561 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 583.561 * * * * [progress]: [ 1139 / 2246 ] simplifiying candidate # 583.561 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 583.561 * * [simplify]: iters left: 6 (17 enodes) 583.565 * * [simplify]: iters left: 5 (63 enodes) 583.575 * * [simplify]: iters left: 4 (119 enodes) 583.597 * * [simplify]: iters left: 3 (206 enodes) 583.637 * * [simplify]: iters left: 2 (356 enodes) 583.719 * * [simplify]: iters left: 1 (490 enodes) 583.826 * * [simplify]: Extracting #0: cost 1 inf + 0 583.826 * * [simplify]: Extracting #1: cost 32 inf + 0 583.826 * * [simplify]: Extracting #2: cost 65 inf + 1 583.827 * * [simplify]: Extracting #3: cost 82 inf + 3 583.828 * * [simplify]: Extracting #4: cost 73 inf + 1870 583.831 * * [simplify]: Extracting #5: cost 24 inf + 14429 583.837 * * [simplify]: Extracting #6: cost 4 inf + 20371 583.844 * * [simplify]: Extracting #7: cost 0 inf + 21898 583.851 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 583.851 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))))) 583.851 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1))) 583.851 * * [simplify]: iters left: 6 (16 enodes) 583.855 * * [simplify]: iters left: 5 (58 enodes) 583.864 * * [simplify]: iters left: 4 (106 enodes) 583.883 * * [simplify]: iters left: 3 (186 enodes) 583.920 * * [simplify]: iters left: 2 (342 enodes) 583.991 * * [simplify]: iters left: 1 (486 enodes) 584.088 * * [simplify]: Extracting #0: cost 1 inf + 0 584.088 * * [simplify]: Extracting #1: cost 0 inf + 1 584.088 * [simplify]: Simplified to 0 584.088 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 0))) 584.088 * * * * [progress]: [ 1140 / 2246 ] simplifiying candidate # 584.088 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 584.089 * * [simplify]: iters left: 6 (19 enodes) 584.096 * * [simplify]: iters left: 5 (75 enodes) 584.107 * * [simplify]: iters left: 4 (121 enodes) 584.125 * * [simplify]: iters left: 3 (215 enodes) 584.161 * * [simplify]: iters left: 2 (338 enodes) 584.230 * * [simplify]: iters left: 1 (485 enodes) 584.343 * * [simplify]: Extracting #0: cost 1 inf + 0 584.344 * * [simplify]: Extracting #1: cost 21 inf + 0 584.344 * * [simplify]: Extracting #2: cost 54 inf + 1 584.344 * * [simplify]: Extracting #3: cost 72 inf + 3 584.344 * * [simplify]: Extracting #4: cost 65 inf + 1405 584.346 * * [simplify]: Extracting #5: cost 35 inf + 7587 584.350 * * [simplify]: Extracting #6: cost 7 inf + 14832 584.356 * * [simplify]: Extracting #7: cost 1 inf + 17310 584.361 * * [simplify]: Extracting #8: cost 0 inf + 17783 584.367 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 584.367 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))))) 584.367 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1)))) 584.367 * * [simplify]: iters left: 6 (17 enodes) 584.373 * * [simplify]: iters left: 5 (66 enodes) 584.384 * * [simplify]: iters left: 4 (101 enodes) 584.399 * * [simplify]: iters left: 3 (170 enodes) 584.426 * * [simplify]: iters left: 2 (266 enodes) 584.477 * * [simplify]: iters left: 1 (380 enodes) 584.559 * * [simplify]: Extracting #0: cost 1 inf + 0 584.560 * * [simplify]: Extracting #1: cost 0 inf + 1 584.560 * [simplify]: Simplified to 0 584.560 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 0))) 584.560 * * * * [progress]: [ 1141 / 2246 ] simplifiying candidate # 584.560 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 584.560 * * [simplify]: iters left: 6 (19 enodes) 584.566 * * [simplify]: iters left: 5 (75 enodes) 584.577 * * [simplify]: iters left: 4 (121 enodes) 584.595 * * [simplify]: iters left: 3 (215 enodes) 584.631 * * [simplify]: iters left: 2 (338 enodes) 584.700 * * [simplify]: iters left: 1 (485 enodes) 584.813 * * [simplify]: Extracting #0: cost 1 inf + 0 584.813 * * [simplify]: Extracting #1: cost 21 inf + 0 584.813 * * [simplify]: Extracting #2: cost 54 inf + 1 584.813 * * [simplify]: Extracting #3: cost 72 inf + 3 584.814 * * [simplify]: Extracting #4: cost 65 inf + 1405 584.816 * * [simplify]: Extracting #5: cost 35 inf + 7587 584.820 * * [simplify]: Extracting #6: cost 7 inf + 14832 584.825 * * [simplify]: Extracting #7: cost 1 inf + 17310 584.831 * * [simplify]: Extracting #8: cost 0 inf + 17783 584.836 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 584.836 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))))) 584.837 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) (sqrt 1)) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1)))) 584.837 * * [simplify]: iters left: 6 (17 enodes) 584.842 * * [simplify]: iters left: 5 (66 enodes) 584.853 * * [simplify]: iters left: 4 (101 enodes) 584.868 * * [simplify]: iters left: 3 (170 enodes) 584.896 * * [simplify]: iters left: 2 (266 enodes) 584.945 * * [simplify]: iters left: 1 (380 enodes) 585.028 * * [simplify]: Extracting #0: cost 1 inf + 0 585.028 * * [simplify]: Extracting #1: cost 0 inf + 1 585.028 * [simplify]: Simplified to 0 585.028 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) (sqrt 1))))) 0))) 585.028 * * * * [progress]: [ 1142 / 2246 ] simplifiying candidate # 585.028 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 585.028 * * [simplify]: iters left: 6 (17 enodes) 585.032 * * [simplify]: iters left: 5 (63 enodes) 585.042 * * [simplify]: iters left: 4 (119 enodes) 585.062 * * [simplify]: iters left: 3 (206 enodes) 585.104 * * [simplify]: iters left: 2 (356 enodes) 585.185 * * [simplify]: iters left: 1 (490 enodes) 585.292 * * [simplify]: Extracting #0: cost 1 inf + 0 585.292 * * [simplify]: Extracting #1: cost 32 inf + 0 585.292 * * [simplify]: Extracting #2: cost 65 inf + 1 585.292 * * [simplify]: Extracting #3: cost 82 inf + 3 585.293 * * [simplify]: Extracting #4: cost 73 inf + 1870 585.296 * * [simplify]: Extracting #5: cost 24 inf + 14429 585.304 * * [simplify]: Extracting #6: cost 4 inf + 20371 585.311 * * [simplify]: Extracting #7: cost 0 inf + 21898 585.317 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 585.317 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))))) 585.318 * [simplify]: Simplifying (fma (- (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ (sqrt 1/2) 1) 1) (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1))) 585.318 * * [simplify]: iters left: 6 (16 enodes) 585.322 * * [simplify]: iters left: 5 (58 enodes) 585.331 * * [simplify]: iters left: 4 (106 enodes) 585.348 * * [simplify]: iters left: 3 (186 enodes) 585.386 * * [simplify]: iters left: 2 (342 enodes) 585.457 * * [simplify]: iters left: 1 (486 enodes) 585.555 * * [simplify]: Extracting #0: cost 1 inf + 0 585.555 * * [simplify]: Extracting #1: cost 0 inf + 1 585.555 * [simplify]: Simplified to 0 585.555 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ (sqrt 1/2) (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ (sqrt 1/2) 1) 1)))) 0))) 585.555 * * * * [progress]: [ 1143 / 2246 ] simplifiying candidate # 585.556 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 585.556 * * [simplify]: iters left: 6 (22 enodes) 585.561 * * [simplify]: iters left: 5 (87 enodes) 585.575 * * [simplify]: iters left: 4 (191 enodes) 585.620 * * [simplify]: Extracting #0: cost 1 inf + 0 585.620 * * [simplify]: Extracting #1: cost 11 inf + 0 585.621 * * [simplify]: Extracting #2: cost 100 inf + 0 585.621 * * [simplify]: Extracting #3: cost 169 inf + 86 585.622 * * [simplify]: Extracting #4: cost 173 inf + 86 585.622 * * [simplify]: Extracting #5: cost 173 inf + 144 585.623 * * [simplify]: Extracting #6: cost 152 inf + 4169 585.628 * * [simplify]: Extracting #7: cost 68 inf + 39726 585.642 * * [simplify]: Extracting #8: cost 5 inf + 71118 585.656 * * [simplify]: Extracting #9: cost 0 inf + 73372 585.671 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 585.671 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (* (cbrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 585.671 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 585.671 * * [simplify]: iters left: 6 (19 enodes) 585.678 * * [simplify]: iters left: 5 (78 enodes) 585.690 * * [simplify]: iters left: 4 (164 enodes) 585.728 * * [simplify]: iters left: 3 (469 enodes) 585.979 * * [simplify]: Extracting #0: cost 1 inf + 0 585.979 * * [simplify]: Extracting #1: cost 0 inf + 1 585.979 * [simplify]: Simplified to 0 585.979 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 585.979 * * * * [progress]: [ 1144 / 2246 ] simplifiying candidate # 585.979 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 585.980 * * [simplify]: iters left: 6 (21 enodes) 585.984 * * [simplify]: iters left: 5 (82 enodes) 585.998 * * [simplify]: iters left: 4 (161 enodes) 586.029 * * [simplify]: iters left: 3 (389 enodes) 586.169 * * [simplify]: Extracting #0: cost 1 inf + 0 586.169 * * [simplify]: Extracting #1: cost 11 inf + 0 586.169 * * [simplify]: Extracting #2: cost 130 inf + 0 586.170 * * [simplify]: Extracting #3: cost 236 inf + 45 586.171 * * [simplify]: Extracting #4: cost 238 inf + 168 586.172 * * [simplify]: Extracting #5: cost 226 inf + 2436 586.174 * * [simplify]: Extracting #6: cost 186 inf + 11404 586.178 * * [simplify]: Extracting #7: cost 156 inf + 22871 586.195 * * [simplify]: Extracting #8: cost 38 inf + 75686 586.220 * * [simplify]: Extracting #9: cost 0 inf + 92747 586.243 * * [simplify]: Extracting #10: cost 0 inf + 92667 586.266 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 586.266 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 586.267 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 586.267 * * [simplify]: iters left: 6 (18 enodes) 586.271 * * [simplify]: iters left: 5 (73 enodes) 586.283 * * [simplify]: iters left: 4 (136 enodes) 586.312 * * [simplify]: iters left: 3 (336 enodes) 586.441 * * [simplify]: Extracting #0: cost 1 inf + 0 586.441 * * [simplify]: Extracting #1: cost 0 inf + 1 586.441 * [simplify]: Simplified to 0 586.442 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 586.442 * * * * [progress]: [ 1145 / 2246 ] simplifiying candidate # 586.442 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 586.442 * * [simplify]: iters left: 6 (20 enodes) 586.447 * * [simplify]: iters left: 5 (77 enodes) 586.463 * * [simplify]: iters left: 4 (152 enodes) 586.494 * * [simplify]: iters left: 3 (343 enodes) 586.620 * * [simplify]: Extracting #0: cost 1 inf + 0 586.620 * * [simplify]: Extracting #1: cost 11 inf + 0 586.620 * * [simplify]: Extracting #2: cost 115 inf + 0 586.621 * * [simplify]: Extracting #3: cost 171 inf + 45 586.621 * * [simplify]: Extracting #4: cost 170 inf + 414 586.622 * * [simplify]: Extracting #5: cost 171 inf + 415 586.623 * * [simplify]: Extracting #6: cost 169 inf + 627 586.627 * * [simplify]: Extracting #7: cost 130 inf + 11045 586.636 * * [simplify]: Extracting #8: cost 19 inf + 47769 586.649 * * [simplify]: Extracting #9: cost 0 inf + 55025 586.662 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ 1/2 (* (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 586.662 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ 1/2 (* (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 586.662 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 586.662 * * [simplify]: iters left: 6 (17 enodes) 586.666 * * [simplify]: iters left: 5 (68 enodes) 586.678 * * [simplify]: iters left: 4 (127 enodes) 586.706 * * [simplify]: iters left: 3 (292 enodes) 586.809 * * [simplify]: Extracting #0: cost 1 inf + 0 586.809 * * [simplify]: Extracting #1: cost 0 inf + 1 586.809 * [simplify]: Simplified to 0 586.809 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 586.809 * * * * [progress]: [ 1146 / 2246 ] simplifiying candidate # 586.809 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 586.809 * * [simplify]: iters left: 6 (22 enodes) 586.816 * * [simplify]: iters left: 5 (86 enodes) 586.829 * * [simplify]: iters left: 4 (139 enodes) 586.853 * * [simplify]: iters left: 3 (305 enodes) 586.953 * * [simplify]: Extracting #0: cost 1 inf + 0 586.953 * * [simplify]: Extracting #1: cost 14 inf + 0 586.953 * * [simplify]: Extracting #2: cost 102 inf + 0 586.954 * * [simplify]: Extracting #3: cost 161 inf + 86 586.954 * * [simplify]: Extracting #4: cost 162 inf + 332 586.955 * * [simplify]: Extracting #5: cost 162 inf + 390 586.956 * * [simplify]: Extracting #6: cost 134 inf + 6024 586.958 * * [simplify]: Extracting #7: cost 99 inf + 14087 586.962 * * [simplify]: Extracting #8: cost 58 inf + 28075 586.972 * * [simplify]: Extracting #9: cost 1 inf + 51071 586.983 * * [simplify]: Extracting #10: cost 0 inf + 51460 586.996 * [simplify]: Simplified to (fma (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 586.996 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 586.996 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 586.996 * * [simplify]: iters left: 6 (18 enodes) 587.001 * * [simplify]: iters left: 5 (73 enodes) 587.013 * * [simplify]: iters left: 4 (112 enodes) 587.031 * * [simplify]: iters left: 3 (236 enodes) 587.102 * * [simplify]: Extracting #0: cost 1 inf + 0 587.102 * * [simplify]: Extracting #1: cost 20 inf + 0 587.102 * * [simplify]: Extracting #2: cost 95 inf + 1 587.103 * * [simplify]: Extracting #3: cost 118 inf + 4 587.103 * * [simplify]: Extracting #4: cost 111 inf + 1145 587.104 * * [simplify]: Extracting #5: cost 86 inf + 6974 587.106 * * [simplify]: Extracting #6: cost 75 inf + 9748 587.108 * * [simplify]: Extracting #7: cost 70 inf + 10597 587.113 * * [simplify]: Extracting #8: cost 17 inf + 29887 587.124 * * [simplify]: Extracting #9: cost 0 inf + 36382 587.133 * * [simplify]: Extracting #10: cost 0 inf + 36332 587.141 * [simplify]: Simplified to (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 587.141 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) 587.142 * * * * [progress]: [ 1147 / 2246 ] simplifiying candidate # 587.142 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) 587.142 * * [simplify]: iters left: 6 (22 enodes) 587.149 * * [simplify]: iters left: 5 (86 enodes) 587.162 * * [simplify]: iters left: 4 (139 enodes) 587.187 * * [simplify]: iters left: 3 (305 enodes) 587.286 * * [simplify]: Extracting #0: cost 1 inf + 0 587.287 * * [simplify]: Extracting #1: cost 14 inf + 0 587.287 * * [simplify]: Extracting #2: cost 102 inf + 0 587.287 * * [simplify]: Extracting #3: cost 161 inf + 86 587.288 * * [simplify]: Extracting #4: cost 162 inf + 332 587.288 * * [simplify]: Extracting #5: cost 162 inf + 390 587.290 * * [simplify]: Extracting #6: cost 134 inf + 6024 587.292 * * [simplify]: Extracting #7: cost 99 inf + 14087 587.296 * * [simplify]: Extracting #8: cost 58 inf + 28075 587.308 * * [simplify]: Extracting #9: cost 1 inf + 51071 587.319 * * [simplify]: Extracting #10: cost 0 inf + 51460 587.330 * [simplify]: Simplified to (fma (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 587.330 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ -1 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))))) 587.330 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1)))) 587.330 * * [simplify]: iters left: 6 (18 enodes) 587.335 * * [simplify]: iters left: 5 (73 enodes) 587.347 * * [simplify]: iters left: 4 (112 enodes) 587.365 * * [simplify]: iters left: 3 (236 enodes) 587.436 * * [simplify]: Extracting #0: cost 1 inf + 0 587.436 * * [simplify]: Extracting #1: cost 20 inf + 0 587.437 * * [simplify]: Extracting #2: cost 95 inf + 1 587.437 * * [simplify]: Extracting #3: cost 118 inf + 4 587.437 * * [simplify]: Extracting #4: cost 111 inf + 1145 587.439 * * [simplify]: Extracting #5: cost 86 inf + 6974 587.440 * * [simplify]: Extracting #6: cost 75 inf + 9748 587.442 * * [simplify]: Extracting #7: cost 70 inf + 10597 587.447 * * [simplify]: Extracting #8: cost 17 inf + 29887 587.456 * * [simplify]: Extracting #9: cost 0 inf + 36382 587.465 * * [simplify]: Extracting #10: cost 0 inf + 36332 587.473 * [simplify]: Simplified to (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 587.473 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (sqrt 1))))) (- (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ 1/2 (* (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) 587.474 * * * * [progress]: [ 1148 / 2246 ] simplifiying candidate # 587.474 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 587.474 * * [simplify]: iters left: 6 (20 enodes) 587.479 * * [simplify]: iters left: 5 (77 enodes) 587.492 * * [simplify]: iters left: 4 (152 enodes) 587.526 * * [simplify]: iters left: 3 (343 enodes) 587.650 * * [simplify]: Extracting #0: cost 1 inf + 0 587.650 * * [simplify]: Extracting #1: cost 11 inf + 0 587.650 * * [simplify]: Extracting #2: cost 115 inf + 0 587.651 * * [simplify]: Extracting #3: cost 171 inf + 45 587.652 * * [simplify]: Extracting #4: cost 170 inf + 414 587.652 * * [simplify]: Extracting #5: cost 171 inf + 415 587.653 * * [simplify]: Extracting #6: cost 169 inf + 627 587.655 * * [simplify]: Extracting #7: cost 130 inf + 11045 587.664 * * [simplify]: Extracting #8: cost 19 inf + 47769 587.679 * * [simplify]: Extracting #9: cost 0 inf + 55025 587.692 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ 1/2 (* (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) 587.692 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ 1/2 (* (fma (cbrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))))) 587.692 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1) (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1))) 587.692 * * [simplify]: iters left: 6 (17 enodes) 587.697 * * [simplify]: iters left: 5 (68 enodes) 587.708 * * [simplify]: iters left: 4 (127 enodes) 587.734 * * [simplify]: iters left: 3 (292 enodes) 587.837 * * [simplify]: Extracting #0: cost 1 inf + 0 587.837 * * [simplify]: Extracting #1: cost 0 inf + 1 587.837 * [simplify]: Simplified to 0 587.837 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (cbrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1)))) 0))) 587.837 * * * * [progress]: [ 1149 / 2246 ] simplifiying candidate # 587.837 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 587.837 * * [simplify]: iters left: 6 (21 enodes) 587.842 * * [simplify]: iters left: 5 (82 enodes) 587.858 * * [simplify]: iters left: 4 (176 enodes) 587.895 * * [simplify]: iters left: 3 (417 enodes) 588.055 * * [simplify]: Extracting #0: cost 1 inf + 0 588.055 * * [simplify]: Extracting #1: cost 11 inf + 0 588.055 * * [simplify]: Extracting #2: cost 149 inf + 0 588.057 * * [simplify]: Extracting #3: cost 279 inf + 45 588.058 * * [simplify]: Extracting #4: cost 280 inf + 169 588.059 * * [simplify]: Extracting #5: cost 270 inf + 1522 588.063 * * [simplify]: Extracting #6: cost 255 inf + 4122 588.068 * * [simplify]: Extracting #7: cost 210 inf + 19904 588.090 * * [simplify]: Extracting #8: cost 47 inf + 95906 588.120 * * [simplify]: Extracting #9: cost 0 inf + 118040 588.150 * * [simplify]: Extracting #10: cost 0 inf + 117880 588.181 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) 588.181 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (sqrt (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 588.182 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 588.182 * * [simplify]: iters left: 6 (18 enodes) 588.186 * * [simplify]: iters left: 5 (73 enodes) 588.198 * * [simplify]: iters left: 4 (149 enodes) 588.232 * * [simplify]: iters left: 3 (359 enodes) 588.376 * * [simplify]: Extracting #0: cost 1 inf + 0 588.376 * * [simplify]: Extracting #1: cost 0 inf + 1 588.376 * [simplify]: Simplified to 0 588.376 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 588.377 * * * * [progress]: [ 1150 / 2246 ] simplifiying candidate # 588.377 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 588.377 * * [simplify]: iters left: 6 (20 enodes) 588.382 * * [simplify]: iters left: 5 (76 enodes) 588.397 * * [simplify]: iters left: 4 (146 enodes) 588.424 * * [simplify]: iters left: 3 (310 enodes) 588.522 * * [simplify]: Extracting #0: cost 1 inf + 0 588.523 * * [simplify]: Extracting #1: cost 11 inf + 0 588.523 * * [simplify]: Extracting #2: cost 116 inf + 0 588.523 * * [simplify]: Extracting #3: cost 181 inf + 127 588.524 * * [simplify]: Extracting #4: cost 184 inf + 168 588.525 * * [simplify]: Extracting #5: cost 172 inf + 1918 588.528 * * [simplify]: Extracting #6: cost 125 inf + 15473 588.541 * * [simplify]: Extracting #7: cost 25 inf + 54277 588.558 * * [simplify]: Extracting #8: cost 0 inf + 64728 588.576 * * [simplify]: Extracting #9: cost 0 inf + 64688 588.593 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 588.593 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 588.593 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 588.593 * * [simplify]: iters left: 6 (17 enodes) 588.598 * * [simplify]: iters left: 5 (67 enodes) 588.608 * * [simplify]: iters left: 4 (121 enodes) 588.631 * * [simplify]: iters left: 3 (261 enodes) 588.718 * * [simplify]: Extracting #0: cost 1 inf + 0 588.718 * * [simplify]: Extracting #1: cost 0 inf + 1 588.718 * [simplify]: Simplified to 0 588.718 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 588.719 * * * * [progress]: [ 1151 / 2246 ] simplifiying candidate # 588.719 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 588.719 * * [simplify]: iters left: 6 (19 enodes) 588.723 * * [simplify]: iters left: 5 (72 enodes) 588.736 * * [simplify]: iters left: 4 (132 enodes) 588.764 * * [simplify]: iters left: 3 (261 enodes) 588.848 * * [simplify]: Extracting #0: cost 1 inf + 0 588.848 * * [simplify]: Extracting #1: cost 11 inf + 0 588.848 * * [simplify]: Extracting #2: cost 103 inf + 0 588.848 * * [simplify]: Extracting #3: cost 126 inf + 250 588.849 * * [simplify]: Extracting #4: cost 128 inf + 414 588.849 * * [simplify]: Extracting #5: cost 128 inf + 472 588.850 * * [simplify]: Extracting #6: cost 99 inf + 5365 588.855 * * [simplify]: Extracting #7: cost 26 inf + 27604 588.864 * * [simplify]: Extracting #8: cost 0 inf + 36057 588.872 * * [simplify]: Extracting #9: cost 0 inf + 36032 588.883 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) 588.883 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))))) 588.883 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1))) 588.883 * * [simplify]: iters left: 6 (16 enodes) 588.887 * * [simplify]: iters left: 5 (63 enodes) 588.898 * * [simplify]: iters left: 4 (109 enodes) 588.920 * * [simplify]: iters left: 3 (230 enodes) 588.991 * * [simplify]: Extracting #0: cost 1 inf + 0 588.991 * * [simplify]: Extracting #1: cost 0 inf + 1 588.991 * [simplify]: Simplified to 0 588.991 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 0))) 588.991 * * * * [progress]: [ 1152 / 2246 ] simplifiying candidate # 588.991 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 588.992 * * [simplify]: iters left: 6 (21 enodes) 588.997 * * [simplify]: iters left: 5 (81 enodes) 589.011 * * [simplify]: iters left: 4 (128 enodes) 589.034 * * [simplify]: iters left: 3 (277 enodes) 589.107 * * [simplify]: Extracting #0: cost 1 inf + 0 589.107 * * [simplify]: Extracting #1: cost 11 inf + 0 589.108 * * [simplify]: Extracting #2: cost 90 inf + 0 589.108 * * [simplify]: Extracting #3: cost 126 inf + 4 589.108 * * [simplify]: Extracting #4: cost 125 inf + 332 589.109 * * [simplify]: Extracting #5: cost 125 inf + 390 589.110 * * [simplify]: Extracting #6: cost 109 inf + 2849 589.113 * * [simplify]: Extracting #7: cost 44 inf + 19514 589.120 * * [simplify]: Extracting #8: cost 1 inf + 33993 589.130 * * [simplify]: Extracting #9: cost 0 inf + 34221 589.138 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) 589.138 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))))) 589.138 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)))) 589.139 * * [simplify]: iters left: 6 (17 enodes) 589.144 * * [simplify]: iters left: 5 (68 enodes) 589.154 * * [simplify]: iters left: 4 (102 enodes) 589.171 * * [simplify]: iters left: 3 (202 enodes) 589.223 * * [simplify]: iters left: 2 (433 enodes) 589.396 * * [simplify]: Extracting #0: cost 1 inf + 0 589.396 * * [simplify]: Extracting #1: cost 0 inf + 1 589.396 * [simplify]: Simplified to 0 589.396 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 589.396 * * * * [progress]: [ 1153 / 2246 ] simplifiying candidate # 589.396 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 589.397 * * [simplify]: iters left: 6 (21 enodes) 589.404 * * [simplify]: iters left: 5 (81 enodes) 589.416 * * [simplify]: iters left: 4 (128 enodes) 589.439 * * [simplify]: iters left: 3 (277 enodes) 589.511 * * [simplify]: Extracting #0: cost 1 inf + 0 589.511 * * [simplify]: Extracting #1: cost 11 inf + 0 589.511 * * [simplify]: Extracting #2: cost 90 inf + 0 589.512 * * [simplify]: Extracting #3: cost 126 inf + 4 589.512 * * [simplify]: Extracting #4: cost 125 inf + 332 589.512 * * [simplify]: Extracting #5: cost 125 inf + 390 589.513 * * [simplify]: Extracting #6: cost 109 inf + 2849 589.517 * * [simplify]: Extracting #7: cost 44 inf + 19514 589.526 * * [simplify]: Extracting #8: cost 1 inf + 33993 589.534 * * [simplify]: Extracting #9: cost 0 inf + 34221 589.542 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) 589.542 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))))) 589.542 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1)))) 589.542 * * [simplify]: iters left: 6 (17 enodes) 589.547 * * [simplify]: iters left: 5 (68 enodes) 589.558 * * [simplify]: iters left: 4 (102 enodes) 589.575 * * [simplify]: iters left: 3 (202 enodes) 589.626 * * [simplify]: iters left: 2 (433 enodes) 589.801 * * [simplify]: Extracting #0: cost 1 inf + 0 589.801 * * [simplify]: Extracting #1: cost 0 inf + 1 589.801 * [simplify]: Simplified to 0 589.801 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) (sqrt 1))))) 0))) 589.801 * * * * [progress]: [ 1154 / 2246 ] simplifiying candidate # 589.801 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 589.801 * * [simplify]: iters left: 6 (19 enodes) 589.806 * * [simplify]: iters left: 5 (72 enodes) 589.818 * * [simplify]: iters left: 4 (132 enodes) 589.843 * * [simplify]: iters left: 3 (261 enodes) 589.928 * * [simplify]: Extracting #0: cost 1 inf + 0 589.928 * * [simplify]: Extracting #1: cost 11 inf + 0 589.928 * * [simplify]: Extracting #2: cost 103 inf + 0 589.929 * * [simplify]: Extracting #3: cost 126 inf + 250 589.929 * * [simplify]: Extracting #4: cost 128 inf + 414 589.930 * * [simplify]: Extracting #5: cost 128 inf + 472 589.930 * * [simplify]: Extracting #6: cost 99 inf + 5365 589.935 * * [simplify]: Extracting #7: cost 26 inf + 27604 589.944 * * [simplify]: Extracting #8: cost 0 inf + 36057 589.953 * * [simplify]: Extracting #9: cost 0 inf + 36032 589.961 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) 589.961 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (sqrt (hypot 1 x))) (fma (sqrt (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))))) (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))))) 589.962 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 (sqrt (hypot 1 x))) 1) (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1))) 589.962 * * [simplify]: iters left: 6 (16 enodes) 589.966 * * [simplify]: iters left: 5 (63 enodes) 589.976 * * [simplify]: iters left: 4 (109 enodes) 590.000 * * [simplify]: iters left: 3 (230 enodes) 590.069 * * [simplify]: Extracting #0: cost 1 inf + 0 590.069 * * [simplify]: Extracting #1: cost 0 inf + 1 590.069 * [simplify]: Simplified to 0 590.069 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (sqrt (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 (sqrt (hypot 1 x))) 1)))) 0))) 590.069 * * * * [progress]: [ 1155 / 2246 ] simplifiying candidate # 590.070 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 590.070 * * [simplify]: iters left: 6 (19 enodes) 590.074 * * [simplify]: iters left: 5 (72 enodes) 590.086 * * [simplify]: iters left: 4 (148 enodes) 590.119 * * [simplify]: iters left: 3 (333 enodes) 590.227 * * [simplify]: Extracting #0: cost 1 inf + 0 590.227 * * [simplify]: Extracting #1: cost 11 inf + 0 590.227 * * [simplify]: Extracting #2: cost 111 inf + 0 590.228 * * [simplify]: Extracting #3: cost 161 inf + 168 590.228 * * [simplify]: Extracting #4: cost 160 inf + 324 590.229 * * [simplify]: Extracting #5: cost 151 inf + 1582 590.234 * * [simplify]: Extracting #6: cost 73 inf + 31296 590.249 * * [simplify]: Extracting #7: cost 0 inf + 61602 590.264 * * [simplify]: Extracting #8: cost 0 inf + 61522 590.279 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 590.279 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 590.279 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 590.279 * * [simplify]: iters left: 6 (16 enodes) 590.285 * * [simplify]: iters left: 5 (63 enodes) 590.295 * * [simplify]: iters left: 4 (123 enodes) 590.321 * * [simplify]: iters left: 3 (281 enodes) 590.418 * * [simplify]: Extracting #0: cost 1 inf + 0 590.418 * * [simplify]: Extracting #1: cost 0 inf + 1 590.418 * [simplify]: Simplified to 0 590.418 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 590.418 * * * * [progress]: [ 1156 / 2246 ] simplifiying candidate # 590.418 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 590.418 * * [simplify]: iters left: 6 (18 enodes) 590.423 * * [simplify]: iters left: 5 (67 enodes) 590.434 * * [simplify]: iters left: 4 (124 enodes) 590.460 * * [simplify]: iters left: 3 (239 enodes) 590.520 * * [simplify]: iters left: 2 (456 enodes) 590.699 * * [simplify]: Extracting #0: cost 1 inf + 0 590.700 * * [simplify]: Extracting #1: cost 35 inf + 0 590.700 * * [simplify]: Extracting #2: cost 113 inf + 3 590.701 * * [simplify]: Extracting #3: cost 144 inf + 210 590.703 * * [simplify]: Extracting #4: cost 132 inf + 1456 590.704 * * [simplify]: Extracting #5: cost 123 inf + 2634 590.706 * * [simplify]: Extracting #6: cost 97 inf + 8949 590.712 * * [simplify]: Extracting #7: cost 42 inf + 26166 590.722 * * [simplify]: Extracting #8: cost 1 inf + 40282 590.734 * * [simplify]: Extracting #9: cost 0 inf + 40661 590.745 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 590.745 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 590.745 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 590.745 * * [simplify]: iters left: 6 (15 enodes) 590.749 * * [simplify]: iters left: 5 (58 enodes) 590.758 * * [simplify]: iters left: 4 (101 enodes) 590.778 * * [simplify]: iters left: 3 (184 enodes) 590.821 * * [simplify]: iters left: 2 (365 enodes) 590.935 * * [simplify]: Extracting #0: cost 1 inf + 0 590.935 * * [simplify]: Extracting #1: cost 0 inf + 1 590.935 * [simplify]: Simplified to 0 590.935 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 590.936 * * * * [progress]: [ 1157 / 2246 ] simplifiying candidate # 590.936 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 590.936 * * [simplify]: iters left: 6 (17 enodes) 590.940 * * [simplify]: iters left: 5 (61 enodes) 590.950 * * [simplify]: iters left: 4 (90 enodes) 590.964 * * [simplify]: iters left: 3 (130 enodes) 590.982 * * [simplify]: iters left: 2 (179 enodes) 591.016 * * [simplify]: iters left: 1 (330 enodes) 591.147 * * [simplify]: Extracting #0: cost 1 inf + 0 591.147 * * [simplify]: Extracting #1: cost 19 inf + 0 591.147 * * [simplify]: Extracting #2: cost 110 inf + 2 591.148 * * [simplify]: Extracting #3: cost 155 inf + 167 591.149 * * [simplify]: Extracting #4: cost 137 inf + 2308 591.150 * * [simplify]: Extracting #5: cost 91 inf + 9312 591.156 * * [simplify]: Extracting #6: cost 28 inf + 26093 591.165 * * [simplify]: Extracting #7: cost 0 inf + 34866 591.175 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 591.175 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))))) 591.176 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1))) 591.176 * * [simplify]: iters left: 6 (14 enodes) 591.179 * * [simplify]: iters left: 5 (51 enodes) 591.187 * * [simplify]: iters left: 4 (77 enodes) 591.199 * * [simplify]: iters left: 3 (112 enodes) 591.219 * * [simplify]: iters left: 2 (165 enodes) 591.243 * * [simplify]: iters left: 1 (238 enodes) 591.289 * * [simplify]: Extracting #0: cost 1 inf + 0 591.289 * * [simplify]: Extracting #1: cost 0 inf + 1 591.289 * [simplify]: Simplified to 0 591.289 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 0))) 591.289 * * * * [progress]: [ 1158 / 2246 ] simplifiying candidate # 591.289 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 591.289 * * [simplify]: iters left: 6 (19 enodes) 591.296 * * [simplify]: iters left: 5 (72 enodes) 591.307 * * [simplify]: iters left: 4 (98 enodes) 591.321 * * [simplify]: iters left: 3 (141 enodes) 591.344 * * [simplify]: iters left: 2 (209 enodes) 591.387 * * [simplify]: iters left: 1 (409 enodes) 591.568 * * [simplify]: Extracting #0: cost 1 inf + 0 591.568 * * [simplify]: Extracting #1: cost 19 inf + 0 591.569 * * [simplify]: Extracting #2: cost 111 inf + 2 591.569 * * [simplify]: Extracting #3: cost 182 inf + 248 591.571 * * [simplify]: Extracting #4: cost 143 inf + 5168 591.575 * * [simplify]: Extracting #5: cost 67 inf + 21176 591.585 * * [simplify]: Extracting #6: cost 9 inf + 38087 591.600 * * [simplify]: Extracting #7: cost 0 inf + 40735 591.612 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 591.612 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))))) 591.612 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1)))) 591.612 * * [simplify]: iters left: 6 (15 enodes) 591.617 * * [simplify]: iters left: 5 (58 enodes) 591.627 * * [simplify]: iters left: 4 (94 enodes) 591.642 * * [simplify]: iters left: 3 (132 enodes) 591.660 * * [simplify]: iters left: 2 (179 enodes) 591.695 * * [simplify]: iters left: 1 (300 enodes) 591.775 * * [simplify]: Extracting #0: cost 1 inf + 0 591.775 * * [simplify]: Extracting #1: cost 0 inf + 1 591.775 * [simplify]: Simplified to 0 591.775 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 591.775 * * * * [progress]: [ 1159 / 2246 ] simplifiying candidate # 591.775 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))) 591.776 * * [simplify]: iters left: 6 (19 enodes) 591.782 * * [simplify]: iters left: 5 (72 enodes) 591.793 * * [simplify]: iters left: 4 (98 enodes) 591.807 * * [simplify]: iters left: 3 (141 enodes) 591.828 * * [simplify]: iters left: 2 (209 enodes) 591.873 * * [simplify]: iters left: 1 (409 enodes) 592.055 * * [simplify]: Extracting #0: cost 1 inf + 0 592.055 * * [simplify]: Extracting #1: cost 19 inf + 0 592.055 * * [simplify]: Extracting #2: cost 111 inf + 2 592.056 * * [simplify]: Extracting #3: cost 182 inf + 248 592.057 * * [simplify]: Extracting #4: cost 143 inf + 5168 592.062 * * [simplify]: Extracting #5: cost 67 inf + 21176 592.072 * * [simplify]: Extracting #6: cost 9 inf + 38087 592.084 * * [simplify]: Extracting #7: cost 0 inf + 40735 592.096 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 592.096 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1))))))) 592.099 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) (sqrt 1)))) 592.099 * * [simplify]: iters left: 6 (15 enodes) 592.103 * * [simplify]: iters left: 5 (58 enodes) 592.114 * * [simplify]: iters left: 4 (94 enodes) 592.128 * * [simplify]: iters left: 3 (132 enodes) 592.147 * * [simplify]: iters left: 2 (179 enodes) 592.182 * * [simplify]: iters left: 1 (300 enodes) 592.261 * * [simplify]: Extracting #0: cost 1 inf + 0 592.261 * * [simplify]: Extracting #1: cost 0 inf + 1 592.261 * [simplify]: Simplified to 0 592.261 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 592.262 * * * * [progress]: [ 1160 / 2246 ] simplifiying candidate # 592.262 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 592.262 * * [simplify]: iters left: 6 (17 enodes) 592.266 * * [simplify]: iters left: 5 (61 enodes) 592.276 * * [simplify]: iters left: 4 (90 enodes) 592.292 * * [simplify]: iters left: 3 (130 enodes) 592.310 * * [simplify]: iters left: 2 (179 enodes) 592.343 * * [simplify]: iters left: 1 (330 enodes) 592.473 * * [simplify]: Extracting #0: cost 1 inf + 0 592.473 * * [simplify]: Extracting #1: cost 19 inf + 0 592.473 * * [simplify]: Extracting #2: cost 110 inf + 2 592.474 * * [simplify]: Extracting #3: cost 155 inf + 167 592.474 * * [simplify]: Extracting #4: cost 137 inf + 2308 592.476 * * [simplify]: Extracting #5: cost 91 inf + 9312 592.482 * * [simplify]: Extracting #6: cost 28 inf + 26093 592.493 * * [simplify]: Extracting #7: cost 0 inf + 34866 592.503 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 592.503 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))))) 592.503 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1 1) 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1))) 592.503 * * [simplify]: iters left: 6 (14 enodes) 592.507 * * [simplify]: iters left: 5 (51 enodes) 592.515 * * [simplify]: iters left: 4 (77 enodes) 592.527 * * [simplify]: iters left: 3 (112 enodes) 592.545 * * [simplify]: iters left: 2 (165 enodes) 592.571 * * [simplify]: iters left: 1 (238 enodes) 592.615 * * [simplify]: Extracting #0: cost 1 inf + 0 592.615 * * [simplify]: Extracting #1: cost 0 inf + 1 592.616 * [simplify]: Simplified to 0 592.616 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1 1) 1)))) 0))) 592.616 * * * * [progress]: [ 1161 / 2246 ] simplifiying candidate # 592.617 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 592.618 * * [simplify]: iters left: 6 (18 enodes) 592.622 * * [simplify]: iters left: 5 (71 enodes) 592.634 * * [simplify]: iters left: 4 (143 enodes) 592.662 * * [simplify]: iters left: 3 (307 enodes) 592.754 * * [simplify]: Extracting #0: cost 1 inf + 0 592.754 * * [simplify]: Extracting #1: cost 11 inf + 0 592.755 * * [simplify]: Extracting #2: cost 109 inf + 0 592.755 * * [simplify]: Extracting #3: cost 148 inf + 168 592.756 * * [simplify]: Extracting #4: cost 145 inf + 478 592.756 * * [simplify]: Extracting #5: cost 138 inf + 1622 592.761 * * [simplify]: Extracting #6: cost 71 inf + 26691 592.774 * * [simplify]: Extracting #7: cost 1 inf + 56144 592.788 * * [simplify]: Extracting #8: cost 0 inf + 56603 592.802 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 592.802 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 592.802 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 592.802 * * [simplify]: iters left: 6 (15 enodes) 592.808 * * [simplify]: iters left: 5 (62 enodes) 592.818 * * [simplify]: iters left: 4 (118 enodes) 592.842 * * [simplify]: iters left: 3 (252 enodes) 592.915 * * [simplify]: Extracting #0: cost 1 inf + 0 592.916 * * [simplify]: Extracting #1: cost 0 inf + 1 592.916 * [simplify]: Simplified to 0 592.916 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 592.916 * * * * [progress]: [ 1162 / 2246 ] simplifiying candidate # 592.916 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 592.916 * * [simplify]: iters left: 6 (17 enodes) 592.922 * * [simplify]: iters left: 5 (66 enodes) 592.933 * * [simplify]: iters left: 4 (121 enodes) 592.956 * * [simplify]: iters left: 3 (232 enodes) 593.016 * * [simplify]: iters left: 2 (439 enodes) 593.187 * * [simplify]: Extracting #0: cost 1 inf + 0 593.187 * * [simplify]: Extracting #1: cost 35 inf + 0 593.187 * * [simplify]: Extracting #2: cost 114 inf + 3 593.188 * * [simplify]: Extracting #3: cost 147 inf + 46 593.188 * * [simplify]: Extracting #4: cost 138 inf + 847 593.189 * * [simplify]: Extracting #5: cost 124 inf + 2674 593.191 * * [simplify]: Extracting #6: cost 104 inf + 7241 593.196 * * [simplify]: Extracting #7: cost 44 inf + 25785 593.207 * * [simplify]: Extracting #8: cost 1 inf + 40621 593.219 * * [simplify]: Extracting #9: cost 0 inf + 40960 593.230 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 593.230 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 593.231 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 593.231 * * [simplify]: iters left: 6 (14 enodes) 593.234 * * [simplify]: iters left: 5 (57 enodes) 593.243 * * [simplify]: iters left: 4 (98 enodes) 593.263 * * [simplify]: iters left: 3 (181 enodes) 593.307 * * [simplify]: iters left: 2 (360 enodes) 593.423 * * [simplify]: Extracting #0: cost 1 inf + 0 593.423 * * [simplify]: Extracting #1: cost 0 inf + 1 593.423 * [simplify]: Simplified to 0 593.424 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 593.424 * * * * [progress]: [ 1163 / 2246 ] simplifiying candidate # 593.424 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 593.424 * * [simplify]: iters left: 6 (16 enodes) 593.428 * * [simplify]: iters left: 5 (60 enodes) 593.438 * * [simplify]: iters left: 4 (89 enodes) 593.452 * * [simplify]: iters left: 3 (129 enodes) 593.472 * * [simplify]: iters left: 2 (178 enodes) 593.504 * * [simplify]: iters left: 1 (330 enodes) 593.636 * * [simplify]: Extracting #0: cost 1 inf + 0 593.636 * * [simplify]: Extracting #1: cost 19 inf + 0 593.636 * * [simplify]: Extracting #2: cost 110 inf + 2 593.637 * * [simplify]: Extracting #3: cost 156 inf + 126 593.638 * * [simplify]: Extracting #4: cost 138 inf + 2099 593.639 * * [simplify]: Extracting #5: cost 92 inf + 9293 593.645 * * [simplify]: Extracting #6: cost 26 inf + 26972 593.655 * * [simplify]: Extracting #7: cost 0 inf + 34866 593.664 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 593.664 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))))) 593.665 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1))) 593.665 * * [simplify]: iters left: 6 (13 enodes) 593.668 * * [simplify]: iters left: 5 (50 enodes) 593.676 * * [simplify]: iters left: 4 (76 enodes) 593.690 * * [simplify]: iters left: 3 (111 enodes) 593.706 * * [simplify]: iters left: 2 (147 enodes) 593.730 * * [simplify]: iters left: 1 (234 enodes) 593.776 * * [simplify]: Extracting #0: cost 1 inf + 0 593.776 * * [simplify]: Extracting #1: cost 0 inf + 1 593.777 * [simplify]: Simplified to 0 593.777 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 0))) 593.777 * * * * [progress]: [ 1164 / 2246 ] simplifiying candidate # 593.777 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 593.777 * * [simplify]: iters left: 6 (18 enodes) 593.784 * * [simplify]: iters left: 5 (71 enodes) 593.794 * * [simplify]: iters left: 4 (97 enodes) 593.811 * * [simplify]: iters left: 3 (140 enodes) 593.832 * * [simplify]: iters left: 2 (208 enodes) 593.876 * * [simplify]: iters left: 1 (409 enodes) 594.058 * * [simplify]: Extracting #0: cost 1 inf + 0 594.058 * * [simplify]: Extracting #1: cost 19 inf + 0 594.059 * * [simplify]: Extracting #2: cost 111 inf + 2 594.059 * * [simplify]: Extracting #3: cost 180 inf + 412 594.061 * * [simplify]: Extracting #4: cost 133 inf + 6845 594.066 * * [simplify]: Extracting #5: cost 80 inf + 17496 594.076 * * [simplify]: Extracting #6: cost 14 inf + 36229 594.088 * * [simplify]: Extracting #7: cost 0 inf + 40735 594.100 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 594.100 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))))) 594.100 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1)))) 594.100 * * [simplify]: iters left: 6 (14 enodes) 594.105 * * [simplify]: iters left: 5 (57 enodes) 594.115 * * [simplify]: iters left: 4 (93 enodes) 594.129 * * [simplify]: iters left: 3 (131 enodes) 594.149 * * [simplify]: iters left: 2 (178 enodes) 594.182 * * [simplify]: iters left: 1 (299 enodes) 594.263 * * [simplify]: Extracting #0: cost 1 inf + 0 594.263 * * [simplify]: Extracting #1: cost 0 inf + 1 594.263 * [simplify]: Simplified to 0 594.263 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 594.263 * * * * [progress]: [ 1165 / 2246 ] simplifiying candidate # 594.263 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))) 594.264 * * [simplify]: iters left: 6 (18 enodes) 594.270 * * [simplify]: iters left: 5 (71 enodes) 594.280 * * [simplify]: iters left: 4 (97 enodes) 594.295 * * [simplify]: iters left: 3 (140 enodes) 594.318 * * [simplify]: iters left: 2 (208 enodes) 594.361 * * [simplify]: iters left: 1 (409 enodes) 594.544 * * [simplify]: Extracting #0: cost 1 inf + 0 594.544 * * [simplify]: Extracting #1: cost 19 inf + 0 594.544 * * [simplify]: Extracting #2: cost 111 inf + 2 594.545 * * [simplify]: Extracting #3: cost 180 inf + 412 594.546 * * [simplify]: Extracting #4: cost 133 inf + 6845 594.550 * * [simplify]: Extracting #5: cost 80 inf + 17496 594.559 * * [simplify]: Extracting #6: cost 14 inf + 36229 594.573 * * [simplify]: Extracting #7: cost 0 inf + 40735 594.585 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 594.585 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1))))))) 594.585 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 (sqrt 1)) (* (/ (/ 1/2 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 (sqrt 1)))) 594.586 * * [simplify]: iters left: 6 (14 enodes) 594.590 * * [simplify]: iters left: 5 (57 enodes) 594.600 * * [simplify]: iters left: 4 (93 enodes) 594.615 * * [simplify]: iters left: 3 (131 enodes) 594.633 * * [simplify]: iters left: 2 (178 enodes) 594.668 * * [simplify]: iters left: 1 (299 enodes) 594.749 * * [simplify]: Extracting #0: cost 1 inf + 0 594.749 * * [simplify]: Extracting #1: cost 0 inf + 1 594.749 * [simplify]: Simplified to 0 594.749 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 594.749 * * * * [progress]: [ 1166 / 2246 ] simplifiying candidate # 594.749 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 594.749 * * [simplify]: iters left: 6 (16 enodes) 594.753 * * [simplify]: iters left: 5 (60 enodes) 594.763 * * [simplify]: iters left: 4 (89 enodes) 594.777 * * [simplify]: iters left: 3 (129 enodes) 594.795 * * [simplify]: iters left: 2 (178 enodes) 594.829 * * [simplify]: iters left: 1 (330 enodes) 594.961 * * [simplify]: Extracting #0: cost 1 inf + 0 594.961 * * [simplify]: Extracting #1: cost 19 inf + 0 594.962 * * [simplify]: Extracting #2: cost 110 inf + 2 594.962 * * [simplify]: Extracting #3: cost 156 inf + 126 594.963 * * [simplify]: Extracting #4: cost 138 inf + 2099 594.965 * * [simplify]: Extracting #5: cost 92 inf + 9293 594.970 * * [simplify]: Extracting #6: cost 26 inf + 26972 594.980 * * [simplify]: Extracting #7: cost 0 inf + 34866 594.989 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 594.990 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))))) 594.990 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1 1) (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1))) 594.990 * * [simplify]: iters left: 6 (13 enodes) 594.993 * * [simplify]: iters left: 5 (50 enodes) 595.002 * * [simplify]: iters left: 4 (76 enodes) 595.013 * * [simplify]: iters left: 3 (111 enodes) 595.305 * * [simplify]: iters left: 2 (147 enodes) 595.342 * * [simplify]: iters left: 1 (234 enodes) 595.415 * * [simplify]: Extracting #0: cost 1 inf + 0 595.416 * * [simplify]: Extracting #1: cost 0 inf + 1 595.416 * [simplify]: Simplified to 0 595.416 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1 1)))) 0))) 595.416 * * * * [progress]: [ 1167 / 2246 ] simplifiying candidate # 595.416 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 595.416 * * [simplify]: iters left: 6 (19 enodes) 595.423 * * [simplify]: iters left: 5 (74 enodes) 595.442 * * [simplify]: iters left: 4 (150 enodes) 595.485 * * [simplify]: iters left: 3 (299 enodes) 595.600 * * [simplify]: Extracting #0: cost 1 inf + 0 595.600 * * [simplify]: Extracting #1: cost 11 inf + 0 595.601 * * [simplify]: Extracting #2: cost 99 inf + 0 595.602 * * [simplify]: Extracting #3: cost 153 inf + 168 595.603 * * [simplify]: Extracting #4: cost 150 inf + 519 595.604 * * [simplify]: Extracting #5: cost 139 inf + 2108 595.612 * * [simplify]: Extracting #6: cost 61 inf + 31173 595.633 * * [simplify]: Extracting #7: cost 1 inf + 55598 595.656 * * [simplify]: Extracting #8: cost 0 inf + 55890 595.679 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) 595.679 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ (/ 1/2 (hypot 1 x)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))) (fma (- (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 595.680 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 595.680 * * [simplify]: iters left: 6 (16 enodes) 595.686 * * [simplify]: iters left: 5 (65 enodes) 595.702 * * [simplify]: iters left: 4 (125 enodes) 595.739 * * [simplify]: iters left: 3 (242 enodes) 595.829 * * [simplify]: Extracting #0: cost 1 inf + 0 595.829 * * [simplify]: Extracting #1: cost 0 inf + 1 595.829 * [simplify]: Simplified to 0 595.829 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 595.829 * * * * [progress]: [ 1168 / 2246 ] simplifiying candidate # 595.829 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 595.830 * * [simplify]: iters left: 6 (18 enodes) 595.836 * * [simplify]: iters left: 5 (69 enodes) 595.853 * * [simplify]: iters left: 4 (126 enodes) 595.885 * * [simplify]: iters left: 3 (215 enodes) 595.959 * * [simplify]: iters left: 2 (451 enodes) 596.284 * * [simplify]: Extracting #0: cost 1 inf + 0 596.284 * * [simplify]: Extracting #1: cost 32 inf + 0 596.285 * * [simplify]: Extracting #2: cost 135 inf + 3 596.286 * * [simplify]: Extracting #3: cost 159 inf + 208 596.289 * * [simplify]: Extracting #4: cost 151 inf + 944 596.291 * * [simplify]: Extracting #5: cost 122 inf + 5100 596.301 * * [simplify]: Extracting #6: cost 41 inf + 29800 596.321 * * [simplify]: Extracting #7: cost 0 inf + 43603 596.342 * * [simplify]: Extracting #8: cost 0 inf + 43600 596.357 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 596.357 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 596.358 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 596.358 * * [simplify]: iters left: 6 (15 enodes) 596.362 * * [simplify]: iters left: 5 (60 enodes) 596.371 * * [simplify]: iters left: 4 (103 enodes) 596.388 * * [simplify]: iters left: 3 (167 enodes) 596.422 * * [simplify]: iters left: 2 (361 enodes) 596.547 * * [simplify]: Extracting #0: cost 1 inf + 0 596.547 * * [simplify]: Extracting #1: cost 0 inf + 1 596.547 * [simplify]: Simplified to 0 596.547 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 596.548 * * * * [progress]: [ 1169 / 2246 ] simplifiying candidate # 596.548 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 596.548 * * [simplify]: iters left: 6 (17 enodes) 596.552 * * [simplify]: iters left: 5 (63 enodes) 596.563 * * [simplify]: iters left: 4 (106 enodes) 596.578 * * [simplify]: iters left: 3 (163 enodes) 596.601 * * [simplify]: iters left: 2 (230 enodes) 596.637 * * [simplify]: iters left: 1 (357 enodes) 596.725 * * [simplify]: Extracting #0: cost 1 inf + 0 596.725 * * [simplify]: Extracting #1: cost 22 inf + 0 596.725 * * [simplify]: Extracting #2: cost 115 inf + 2 596.726 * * [simplify]: Extracting #3: cost 136 inf + 47 596.727 * * [simplify]: Extracting #4: cost 125 inf + 1388 596.728 * * [simplify]: Extracting #5: cost 89 inf + 6761 596.733 * * [simplify]: Extracting #6: cost 19 inf + 26174 596.742 * * [simplify]: Extracting #7: cost 0 inf + 31918 596.751 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 596.751 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))))) 596.751 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1))) 596.751 * * [simplify]: iters left: 6 (14 enodes) 596.755 * * [simplify]: iters left: 5 (53 enodes) 596.763 * * [simplify]: iters left: 4 (92 enodes) 596.776 * * [simplify]: iters left: 3 (137 enodes) 596.797 * * [simplify]: iters left: 2 (188 enodes) 596.823 * * [simplify]: iters left: 1 (283 enodes) 596.870 * * [simplify]: Extracting #0: cost 1 inf + 0 596.870 * * [simplify]: Extracting #1: cost 0 inf + 1 596.870 * [simplify]: Simplified to 0 596.870 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 0))) 596.870 * * * * [progress]: [ 1170 / 2246 ] simplifiying candidate # 596.870 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 596.870 * * [simplify]: iters left: 6 (19 enodes) 596.877 * * [simplify]: iters left: 5 (74 enodes) 596.887 * * [simplify]: iters left: 4 (107 enodes) 596.903 * * [simplify]: iters left: 3 (174 enodes) 596.933 * * [simplify]: iters left: 2 (277 enodes) 596.987 * * [simplify]: iters left: 1 (462 enodes) 597.148 * * [simplify]: Extracting #0: cost 1 inf + 0 597.148 * * [simplify]: Extracting #1: cost 22 inf + 0 597.148 * * [simplify]: Extracting #2: cost 110 inf + 2 597.149 * * [simplify]: Extracting #3: cost 148 inf + 373 597.150 * * [simplify]: Extracting #4: cost 137 inf + 2128 597.151 * * [simplify]: Extracting #5: cost 98 inf + 7547 597.156 * * [simplify]: Extracting #6: cost 49 inf + 20121 597.165 * * [simplify]: Extracting #7: cost 2 inf + 34684 597.176 * * [simplify]: Extracting #8: cost 0 inf + 35454 597.189 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 597.189 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))))) 597.189 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1)))) 597.189 * * [simplify]: iters left: 6 (15 enodes) 597.195 * * [simplify]: iters left: 5 (60 enodes) 597.204 * * [simplify]: iters left: 4 (93 enodes) 597.218 * * [simplify]: iters left: 3 (149 enodes) 597.240 * * [simplify]: iters left: 2 (229 enodes) 597.280 * * [simplify]: iters left: 1 (341 enodes) 597.355 * * [simplify]: Extracting #0: cost 1 inf + 0 597.355 * * [simplify]: Extracting #1: cost 0 inf + 1 597.355 * [simplify]: Simplified to 0 597.355 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 597.355 * * * * [progress]: [ 1171 / 2246 ] simplifiying candidate # 597.355 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))) 597.355 * * [simplify]: iters left: 6 (19 enodes) 597.362 * * [simplify]: iters left: 5 (74 enodes) 597.374 * * [simplify]: iters left: 4 (107 enodes) 597.390 * * [simplify]: iters left: 3 (174 enodes) 597.418 * * [simplify]: iters left: 2 (277 enodes) 597.472 * * [simplify]: iters left: 1 (462 enodes) 597.632 * * [simplify]: Extracting #0: cost 1 inf + 0 597.632 * * [simplify]: Extracting #1: cost 22 inf + 0 597.635 * * [simplify]: Extracting #2: cost 110 inf + 2 597.636 * * [simplify]: Extracting #3: cost 148 inf + 373 597.637 * * [simplify]: Extracting #4: cost 137 inf + 2128 597.638 * * [simplify]: Extracting #5: cost 98 inf + 7547 597.643 * * [simplify]: Extracting #6: cost 49 inf + 20121 597.653 * * [simplify]: Extracting #7: cost 2 inf + 34684 597.663 * * [simplify]: Extracting #8: cost 0 inf + 35454 597.674 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 597.674 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1))))))) 597.674 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (sqrt 1)) (* (/ (/ 1 (hypot 1 x)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (sqrt 1)))) 597.674 * * [simplify]: iters left: 6 (15 enodes) 597.680 * * [simplify]: iters left: 5 (60 enodes) 597.689 * * [simplify]: iters left: 4 (93 enodes) 597.703 * * [simplify]: iters left: 3 (149 enodes) 597.726 * * [simplify]: iters left: 2 (229 enodes) 597.765 * * [simplify]: iters left: 1 (341 enodes) 597.840 * * [simplify]: Extracting #0: cost 1 inf + 0 597.840 * * [simplify]: Extracting #1: cost 0 inf + 1 597.840 * [simplify]: Simplified to 0 597.840 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 0))) 597.840 * * * * [progress]: [ 1172 / 2246 ] simplifiying candidate # 597.840 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 597.840 * * [simplify]: iters left: 6 (17 enodes) 597.845 * * [simplify]: iters left: 5 (63 enodes) 597.855 * * [simplify]: iters left: 4 (106 enodes) 597.871 * * [simplify]: iters left: 3 (163 enodes) 597.896 * * [simplify]: iters left: 2 (230 enodes) 597.930 * * [simplify]: iters left: 1 (357 enodes) 598.018 * * [simplify]: Extracting #0: cost 1 inf + 0 598.018 * * [simplify]: Extracting #1: cost 22 inf + 0 598.018 * * [simplify]: Extracting #2: cost 115 inf + 2 598.018 * * [simplify]: Extracting #3: cost 136 inf + 47 598.019 * * [simplify]: Extracting #4: cost 125 inf + 1388 598.020 * * [simplify]: Extracting #5: cost 89 inf + 6761 598.026 * * [simplify]: Extracting #6: cost 19 inf + 26174 598.035 * * [simplify]: Extracting #7: cost 0 inf + 31918 598.044 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 598.044 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))))) 598.044 * [simplify]: Simplifying (fma (- (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 1) (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1))) 598.044 * * [simplify]: iters left: 6 (14 enodes) 598.048 * * [simplify]: iters left: 5 (53 enodes) 598.056 * * [simplify]: iters left: 4 (92 enodes) 598.071 * * [simplify]: iters left: 3 (137 enodes) 598.090 * * [simplify]: iters left: 2 (188 enodes) 598.116 * * [simplify]: iters left: 1 (283 enodes) 598.162 * * [simplify]: Extracting #0: cost 1 inf + 0 598.162 * * [simplify]: Extracting #1: cost 0 inf + 1 598.162 * [simplify]: Simplified to 0 598.162 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 1)))) 0))) 598.162 * * * * [progress]: [ 1173 / 2246 ] simplifiying candidate # 598.162 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))) 598.162 * * [simplify]: iters left: 6 (15 enodes) 598.166 * * [simplify]: iters left: 5 (57 enodes) 598.176 * * [simplify]: iters left: 4 (91 enodes) 598.191 * * [simplify]: iters left: 3 (128 enodes) 598.209 * * [simplify]: iters left: 2 (169 enodes) 598.241 * * [simplify]: iters left: 1 (321 enodes) 598.361 * * [simplify]: Extracting #0: cost 1 inf + 0 598.362 * * [simplify]: Extracting #1: cost 19 inf + 0 598.362 * * [simplify]: Extracting #2: cost 99 inf + 2 598.362 * * [simplify]: Extracting #3: cost 143 inf + 208 598.363 * * [simplify]: Extracting #4: cost 127 inf + 2065 598.364 * * [simplify]: Extracting #5: cost 100 inf + 5807 598.367 * * [simplify]: Extracting #6: cost 66 inf + 11936 598.373 * * [simplify]: Extracting #7: cost 15 inf + 27253 598.382 * * [simplify]: Extracting #8: cost 0 inf + 31625 598.391 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 598.391 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (/ 1/2 (hypot 1 x)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1 (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))))) 598.391 * [simplify]: Simplifying (fma (- (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1 (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1)) 598.391 * * [simplify]: iters left: 6 (12 enodes) 598.394 * * [simplify]: iters left: 5 (47 enodes) 598.403 * * [simplify]: iters left: 4 (79 enodes) 598.416 * * [simplify]: iters left: 3 (107 enodes) 598.435 * * [simplify]: iters left: 2 (167 enodes) 598.461 * * [simplify]: iters left: 1 (239 enodes) 598.506 * * [simplify]: Extracting #0: cost 1 inf + 0 598.506 * * [simplify]: Extracting #1: cost 0 inf + 1 598.506 * [simplify]: Simplified to 0 598.506 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))) 0))) 598.506 * * * * [progress]: [ 1174 / 2246 ] simplifiying candidate # 598.507 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))) 598.507 * * [simplify]: iters left: 6 (15 enodes) 598.510 * * [simplify]: iters left: 5 (58 enodes) 598.520 * * [simplify]: iters left: 4 (100 enodes) 598.536 * * [simplify]: iters left: 3 (162 enodes) 598.569 * * [simplify]: iters left: 2 (288 enodes) 598.646 * * [simplify]: Extracting #0: cost 1 inf + 0 598.646 * * [simplify]: Extracting #1: cost 22 inf + 0 598.647 * * [simplify]: Extracting #2: cost 84 inf + 4 598.647 * * [simplify]: Extracting #3: cost 114 inf + 578 598.648 * * [simplify]: Extracting #4: cost 97 inf + 2682 598.654 * * [simplify]: Extracting #5: cost 19 inf + 21616 598.661 * * [simplify]: Extracting #6: cost 0 inf + 26813 598.668 * [simplify]: Simplified to (* (- 1/2 (/ 1/2 (hypot 1 x))) (/ 1 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 598.668 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (* (- 1/2 (/ 1/2 (hypot 1 x))) (/ 1 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (hypot 1 x)) (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))))) 598.668 * [simplify]: Simplifying (fma (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ 1/2 (hypot 1 x)) (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x)))) 598.669 * * [simplify]: iters left: 6 (12 enodes) 598.672 * * [simplify]: iters left: 5 (50 enodes) 598.680 * * [simplify]: iters left: 4 (76 enodes) 598.692 * * [simplify]: iters left: 3 (143 enodes) 598.720 * * [simplify]: iters left: 2 (233 enodes) 598.763 * * [simplify]: iters left: 1 (369 enodes) 598.846 * * [simplify]: Extracting #0: cost 1 inf + 0 598.846 * * [simplify]: Extracting #1: cost 0 inf + 1 598.846 * [simplify]: Simplified to 0 598.846 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ 1/2 (hypot 1 x))))) 0))) 598.846 * * * * [progress]: [ 1175 / 2246 ] simplifiying candidate # 598.846 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 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))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))) 598.847 * * [simplify]: iters left: 6 (24 enodes) 598.853 * * [simplify]: iters left: 5 (98 enodes) 598.873 * * [simplify]: iters left: 4 (243 enodes) 598.933 * * [simplify]: Extracting #0: cost 1 inf + 0 598.933 * * [simplify]: Extracting #1: cost 11 inf + 0 598.933 * * [simplify]: Extracting #2: cost 102 inf + 0 598.934 * * [simplify]: Extracting #3: cost 171 inf + 87 598.934 * * [simplify]: Extracting #4: cost 175 inf + 300 598.936 * * [simplify]: Extracting #5: cost 140 inf + 8374 598.943 * * [simplify]: Extracting #6: cost 43 inf + 36183 598.954 * * [simplify]: Extracting #7: cost 3 inf + 49674 598.967 * * [simplify]: Extracting #8: cost 0 inf + 50849 598.978 * [simplify]: Simplified to (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (fma (/ (/ 1/2 (hypot 1 x)) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)) (- (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)))) 598.978 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (fma (/ (/ 1/2 (hypot 1 x)) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)) (- (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ 1/2 (hypot 1 x)) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1)))) (fma (- (+ (* 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 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (* (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))))) 598.978 * [simplify]: Simplifying (fma (- (+ (* 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 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))) (* (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))))) 598.978 * * [simplify]: iters left: 6 (20 enodes) 598.984 * * [simplify]: iters left: 5 (87 enodes) 599.001 * * [simplify]: iters left: 4 (224 enodes) 599.064 * * [simplify]: Extracting #0: cost 1 inf + 0 599.064 * * [simplify]: Extracting #1: cost 14 inf + 0 599.064 * * [simplify]: Extracting #2: cost 116 inf + 0 599.065 * * [simplify]: Extracting #3: cost 173 inf + 989 599.067 * * [simplify]: Extracting #4: cost 109 inf + 16215 599.076 * * [simplify]: Extracting #5: cost 31 inf + 40092 599.087 * * [simplify]: Extracting #6: cost 1 inf + 50253 599.098 * * [simplify]: Extracting #7: cost 0 inf + 50642 599.111 * [simplify]: Simplified to (- (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 599.111 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 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))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (/ 1/2 (hypot 1 x)) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))) (- (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))))) 599.111 * * * * [progress]: [ 1176 / 2246 ] simplifiying candidate # 599.112 * [simplify]: Simplifying (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 599.112 * * [simplify]: iters left: 6 (19 enodes) 599.117 * * [simplify]: iters left: 5 (71 enodes) 599.128 * * [simplify]: iters left: 4 (134 enodes) 599.151 * * [simplify]: iters left: 3 (281 enodes) 599.213 * * [simplify]: Extracting #0: cost 1 inf + 0 599.213 * * [simplify]: Extracting #1: cost 17 inf + 0 599.213 * * [simplify]: Extracting #2: cost 107 inf + 0 599.213 * * [simplify]: Extracting #3: cost 151 inf + 168 599.214 * * [simplify]: Extracting #4: cost 166 inf + 796 599.215 * * [simplify]: Extracting #5: cost 118 inf + 8007 599.221 * * [simplify]: Extracting #6: cost 26 inf + 32720 599.230 * * [simplify]: Extracting #7: cost 1 inf + 39977 599.241 * * [simplify]: Extracting #8: cost 0 inf + 40275 599.250 * [simplify]: Simplified to (fma (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1) (/ (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 599.250 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (fma (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1) (/ (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (/ 1/2 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 599.250 * [simplify]: Simplifying (fma (- (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 599.250 * * [simplify]: iters left: 6 (15 enodes) 599.254 * * [simplify]: iters left: 5 (56 enodes) 599.263 * * [simplify]: iters left: 4 (109 enodes) 599.284 * * [simplify]: iters left: 3 (271 enodes) 599.346 * * [simplify]: Extracting #0: cost 1 inf + 0 599.346 * * [simplify]: Extracting #1: cost 0 inf + 1 599.346 * [simplify]: Simplified to 0 599.346 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (/ 1/2 (hypot 1 x)) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 599.347 * * * * [progress]: [ 1177 / 2246 ] simplifiying candidate # 599.347 * [simplify]: Simplifying (fma (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 599.347 * * [simplify]: iters left: 6 (18 enodes) 599.351 * * [simplify]: iters left: 5 (71 enodes) 599.362 * * [simplify]: iters left: 4 (106 enodes) 599.381 * * [simplify]: iters left: 3 (165 enodes) 599.408 * * [simplify]: iters left: 2 (273 enodes) 599.459 * * [simplify]: iters left: 1 (397 enodes) 599.537 * * [simplify]: Extracting #0: cost 1 inf + 0 599.537 * * [simplify]: Extracting #1: cost 11 inf + 0 599.537 * * [simplify]: Extracting #2: cost 72 inf + 0 599.537 * * [simplify]: Extracting #3: cost 116 inf + 4 599.538 * * [simplify]: Extracting #4: cost 116 inf + 318 599.538 * * [simplify]: Extracting #5: cost 109 inf + 1944 599.541 * * [simplify]: Extracting #6: cost 72 inf + 13798 599.547 * * [simplify]: Extracting #7: cost 47 inf + 28403 599.556 * * [simplify]: Extracting #8: cost 9 inf + 56158 599.570 * * [simplify]: Extracting #9: cost 0 inf + 64191 599.581 * * [simplify]: Extracting #10: cost 0 inf + 63980 599.592 * [simplify]: Simplified to (- (/ 1/2 (* (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 599.592 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (* (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))) 599.593 * [simplify]: Simplifying (fma (- (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 599.593 * * [simplify]: iters left: 6 (14 enodes) 599.596 * * [simplify]: iters left: 5 (53 enodes) 599.604 * * [simplify]: iters left: 4 (76 enodes) 599.617 * * [simplify]: iters left: 3 (134 enodes) 599.639 * * [simplify]: iters left: 2 (194 enodes) 599.670 * * [simplify]: iters left: 1 (293 enodes) 599.717 * * [simplify]: Extracting #0: cost 1 inf + 0 599.717 * * [simplify]: Extracting #1: cost 0 inf + 1 599.717 * [simplify]: Simplified to 0 599.717 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 0))) 599.717 * * * * [progress]: [ 1178 / 2246 ] simplifiying candidate # 599.717 * [simplify]: Simplifying (fma (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 599.717 * * [simplify]: iters left: 6 (17 enodes) 599.721 * * [simplify]: iters left: 5 (62 enodes) 599.730 * * [simplify]: iters left: 4 (90 enodes) 599.743 * * [simplify]: iters left: 3 (129 enodes) 599.763 * * [simplify]: iters left: 2 (199 enodes) 599.802 * * [simplify]: iters left: 1 (277 enodes) 599.852 * * [simplify]: Extracting #0: cost 1 inf + 0 599.852 * * [simplify]: Extracting #1: cost 9 inf + 0 599.852 * * [simplify]: Extracting #2: cost 37 inf + 0 599.853 * * [simplify]: Extracting #3: cost 54 inf + 3 599.853 * * [simplify]: Extracting #4: cost 50 inf + 413 599.853 * * [simplify]: Extracting #5: cost 42 inf + 2496 599.856 * * [simplify]: Extracting #6: cost 15 inf + 11175 599.860 * * [simplify]: Extracting #7: cost 3 inf + 15382 599.864 * * [simplify]: Extracting #8: cost 1 inf + 16018 599.869 * * [simplify]: Extracting #9: cost 0 inf + 16356 599.873 * [simplify]: Simplified to (- (/ 1/2 (* (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 599.873 * [simplify]: Simplified (2 2 1) to (λ (x) (* 1 (+ (- (/ 1/2 (* (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 599.873 * [simplify]: Simplifying (fma (- (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 599.874 * * [simplify]: iters left: 6 (13 enodes) 599.877 * * [simplify]: iters left: 5 (45 enodes) 599.883 * * [simplify]: iters left: 4 (60 enodes) 599.892 * * [simplify]: iters left: 3 (85 enodes) 599.905 * * [simplify]: iters left: 2 (102 enodes) 599.917 * * [simplify]: iters left: 1 (126 enodes) 599.933 * * [simplify]: Extracting #0: cost 1 inf + 0 599.933 * * [simplify]: Extracting #1: cost 0 inf + 1 599.933 * [simplify]: Simplified to 0 599.933 * [simplify]: Simplified (2 2 2) to (λ (x) (* 1 (+ (fma (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 0))) 599.933 * * * * [progress]: [ 1179 / 2246 ] simplifiying candidate # 599.933 * [simplify]: Simplifying (fma (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1/2 (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (cbrt (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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))))))))) 599.933 * * [simplify]: iters left: 6 (19 enodes) 599.938 * * [simplify]: iters left: 5 (79 enodes) 599.950 * * [simplify]: iters left: 4 (166 enodes) 599.986 * * [simplify]: iters left: 3 (346 enodes)