0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.082 * * * [progress]: [2/2] Setting up program. 0.084 * [progress]: [Phase 2 of 3] Improving. 0.084 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.084 * [simplify]: Simplifying (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 x)))))) 0.085 * * [simplify]: iters left: 6 (9 enodes) 0.088 * * [simplify]: iters left: 5 (39 enodes) 0.094 * * [simplify]: iters left: 4 (49 enodes) 0.106 * * [simplify]: Extracting #0: cost 1 inf + 0 0.106 * * [simplify]: Extracting #1: cost 5 inf + 0 0.106 * * [simplify]: Extracting #2: cost 7 inf + 1 0.106 * * [simplify]: Extracting #3: cost 11 inf + 1 0.106 * * [simplify]: Extracting #4: cost 14 inf + 2 0.106 * * [simplify]: Extracting #5: cost 17 inf + 2 0.106 * * [simplify]: Extracting #6: cost 15 inf + 60 0.107 * * [simplify]: Extracting #7: cost 9 inf + 644 0.107 * * [simplify]: Extracting #8: cost 5 inf + 1235 0.108 * * [simplify]: Extracting #9: cost 0 inf + 2285 0.109 * [simplify]: Simplified to (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 0.109 * [simplify]: Simplified (2) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 0.119 * * [progress]: iteration 1 / 4 0.119 * * * [progress]: picking best candidate 0.123 * * * * [pick]: Picked # 0.123 * * * [progress]: localizing error 0.149 * * * [progress]: generating rewritten candidates 0.149 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.210 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.217 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 0.217 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.235 * * * [progress]: generating series expansions 0.235 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.235 * [backup-simplify]: Simplify (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.235 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 0.235 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.235 * [taylor]: Taking taylor expansion of 1 in x 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.235 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.235 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.235 * [taylor]: Taking taylor expansion of 1/2 in x 0.235 * [backup-simplify]: Simplify 1/2 into 1/2 0.235 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.235 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.237 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.237 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 0.237 * [taylor]: Taking taylor expansion of 1/2 in x 0.237 * [backup-simplify]: Simplify 1/2 into 1/2 0.237 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 0.237 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.237 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 0.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 0.238 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 0.239 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.239 * [taylor]: Taking taylor expansion of 1 in x 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.239 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.239 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.239 * [taylor]: Taking taylor expansion of 1/2 in x 0.239 * [backup-simplify]: Simplify 1/2 into 1/2 0.239 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.239 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.239 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.239 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 0.239 * [taylor]: Taking taylor expansion of 1/2 in x 0.240 * [backup-simplify]: Simplify 1/2 into 1/2 0.240 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 0.240 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.240 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 0.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 0.241 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 0.241 * [backup-simplify]: Simplify (- (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) into (- (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.241 * [backup-simplify]: Simplify (+ 1 (- (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.242 * [backup-simplify]: Simplify (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.242 * [backup-simplify]: Simplify (- 0) into 0 0.242 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.244 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 0.244 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.247 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 0.249 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 0.253 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 0.258 * [backup-simplify]: Simplify (- 0) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.261 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.264 * [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))) 0.264 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0 0.264 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.264 * [taylor]: Taking taylor expansion of 1 in x 0.264 * [backup-simplify]: Simplify 1 into 1 0.264 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.264 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.264 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.264 * [taylor]: Taking taylor expansion of 1/2 in x 0.264 * [backup-simplify]: Simplify 1/2 into 1/2 0.264 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.264 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.264 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.264 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 0.264 * [taylor]: Taking taylor expansion of 1/2 in x 0.264 * [backup-simplify]: Simplify 1/2 into 1/2 0.264 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.264 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0.265 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 0.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 0.266 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.266 * [taylor]: Taking taylor expansion of 1 in x 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.266 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.266 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.266 * [taylor]: Taking taylor expansion of 1/2 in x 0.266 * [backup-simplify]: Simplify 1/2 into 1/2 0.266 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.266 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.266 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.266 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 0.266 * [taylor]: Taking taylor expansion of 1/2 in x 0.266 * [backup-simplify]: Simplify 1/2 into 1/2 0.266 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.267 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0.267 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 0.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.267 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 0.268 * [backup-simplify]: Simplify (- (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) into (- (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) 0.268 * [backup-simplify]: Simplify (+ 1 (- (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) 0.269 * [backup-simplify]: Simplify (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) 0.269 * [backup-simplify]: Simplify (- 0) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.271 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 0.272 * [backup-simplify]: Simplify (- 0) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.274 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 0.281 * [backup-simplify]: Simplify (- 0) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.284 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))))) into 0 0.284 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 0.285 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.289 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))))) into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 0.291 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 (/ 1 x))))) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.291 * [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))) 0.291 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 0.292 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.292 * [taylor]: Taking taylor expansion of 1 in x 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.292 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.292 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.292 * [taylor]: Taking taylor expansion of 1/2 in x 0.292 * [backup-simplify]: Simplify 1/2 into 1/2 0.292 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.292 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.292 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 0.292 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 0.292 * [taylor]: Taking taylor expansion of 1/2 in x 0.292 * [backup-simplify]: Simplify 1/2 into 1/2 0.292 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.292 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0.292 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 0.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 0.294 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.294 * [taylor]: Taking taylor expansion of 1 in x 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.294 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.294 * [taylor]: Taking taylor expansion of 1/2 in x 0.294 * [backup-simplify]: Simplify 1/2 into 1/2 0.294 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.294 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.294 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 0.294 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 0.294 * [taylor]: Taking taylor expansion of 1/2 in x 0.294 * [backup-simplify]: Simplify 1/2 into 1/2 0.295 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.295 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0.295 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 0.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.296 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 0.296 * [backup-simplify]: Simplify (- (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) into (- (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) 0.297 * [backup-simplify]: Simplify (+ 1 (- (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) 0.297 * [backup-simplify]: Simplify (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) 0.297 * [backup-simplify]: Simplify (- 0) into 0 0.298 * [backup-simplify]: Simplify (+ 0 0) into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.299 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 0.300 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.302 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 0.304 * [backup-simplify]: Simplify (- 0) into 0 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.307 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 0.308 * [backup-simplify]: Simplify (- 0) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))))) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 0.313 * [backup-simplify]: Simplify (- 0) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.316 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))))) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 0.318 * [backup-simplify]: Simplify (- 0) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 (/ 1 (- x)))))) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.319 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.319 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 0.319 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 0.319 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.319 * [taylor]: Taking taylor expansion of 1/2 in x 0.319 * [backup-simplify]: Simplify 1/2 into 1/2 0.319 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.319 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.319 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 0.319 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.319 * [taylor]: Taking taylor expansion of 1/2 in x 0.319 * [backup-simplify]: Simplify 1/2 into 1/2 0.319 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.320 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.320 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 0.320 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 0.320 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 x)) (+ (* (/ 1/2 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 x)) (+ (* (/ 1/2 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 x)) (+ (* (/ 1/2 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 x)) (+ (* (/ 1/2 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 x)) (+ (* (/ 1/2 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 x)) (+ (* (/ 1/2 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 0.322 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.322 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 0.322 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.322 * [taylor]: Taking taylor expansion of 1/2 in x 0.322 * [backup-simplify]: Simplify 1/2 into 1/2 0.322 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.322 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.322 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.322 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.322 * [taylor]: Taking taylor expansion of 1/2 in x 0.322 * [backup-simplify]: Simplify 1/2 into 1/2 0.323 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.323 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.323 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.323 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.323 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 (/ 1 x))) (+ (* (/ 1/2 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 (/ 1 x))) (+ (* (/ 1/2 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 (/ 1 x))) (+ (* (/ 1/2 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 (/ 1 x))) (+ (* (/ 1/2 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 (/ 1 x))) (+ (* (/ 1/2 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 (/ 1 x))) (+ (* (/ 1/2 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (/ 1 x)))) into (/ 1/2 (hypot 1 x)) 0.326 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.326 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 0.326 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.326 * [taylor]: Taking taylor expansion of 1/2 in x 0.326 * [backup-simplify]: Simplify 1/2 into 1/2 0.326 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.326 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 0.326 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ -1 x))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.326 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.326 * [taylor]: Taking taylor expansion of 1/2 in x 0.326 * [backup-simplify]: Simplify 1/2 into 1/2 0.326 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.326 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 0.326 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ -1 x))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.326 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ -1 x))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.327 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 (/ -1 x))) (+ (* (/ 1/2 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 (/ -1 x))) (+ (* (/ 1/2 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 (/ -1 x))) (+ (* (/ 1/2 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 (/ -1 x))) (+ (* (/ 1/2 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 (/ -1 x))) (+ (* (/ 1/2 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 (/ -1 x))) (+ (* (/ 1/2 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ -1 (/ 1 (- x))))) into (/ 1/2 (hypot 1 x)) 0.329 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 0.329 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.329 * [approximate]: Taking taylor expansion of (hypot 1 x) in (x) around 0 0.329 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.330 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.330 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.330 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.330 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.330 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.330 * [approximate]: Taking taylor expansion of (hypot 1 (/ 1 x)) in (x) around 0 0.330 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.330 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.330 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.330 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.330 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (hypot 1 (/ 1 (/ 1 x))) into (hypot 1 x) 0.331 * [backup-simplify]: Simplify (hypot 1 (/ 1 (- x))) into (hypot 1 (/ -1 x)) 0.331 * [approximate]: Taking taylor expansion of (hypot 1 (/ -1 x)) in (x) around 0 0.331 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.331 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 0.331 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.331 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 0.331 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify (hypot 1 (/ -1 (/ 1 (- x)))) into (hypot 1 x) 0.332 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.332 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.332 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in (x) around 0 0.332 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.332 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.332 * [taylor]: Taking taylor expansion of 1/2 in x 0.332 * [backup-simplify]: Simplify 1/2 into 1/2 0.332 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.332 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.332 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.332 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 0.332 * [taylor]: Taking taylor expansion of 1/2 in x 0.332 * [backup-simplify]: Simplify 1/2 into 1/2 0.332 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.333 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.333 * [taylor]: Taking taylor expansion of 1/2 in x 0.333 * [backup-simplify]: Simplify 1/2 into 1/2 0.333 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.333 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.333 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.333 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 0.333 * [taylor]: Taking taylor expansion of 1/2 in x 0.333 * [backup-simplify]: Simplify 1/2 into 1/2 0.333 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 0.333 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.333 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 0.339 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 0.339 * [backup-simplify]: Simplify (+ 0 0) into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.341 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.341 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.343 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 0.346 * [backup-simplify]: Simplify (+ 0 0) into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.348 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.352 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0.352 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in (x) around 0 0.352 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.352 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.352 * [taylor]: Taking taylor expansion of 1/2 in x 0.352 * [backup-simplify]: Simplify 1/2 into 1/2 0.352 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.352 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.352 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.352 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 0.352 * [taylor]: Taking taylor expansion of 1/2 in x 0.352 * [backup-simplify]: Simplify 1/2 into 1/2 0.352 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.353 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.353 * [taylor]: Taking taylor expansion of 1/2 in x 0.353 * [backup-simplify]: Simplify 1/2 into 1/2 0.353 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.353 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.353 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.353 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 0.353 * [taylor]: Taking taylor expansion of 1/2 in x 0.353 * [backup-simplify]: Simplify 1/2 into 1/2 0.353 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.353 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0.353 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.354 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 0.354 * [backup-simplify]: Simplify (+ 0 0) into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.356 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.357 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))) into 0 0.357 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.358 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))) into 0 0.358 * [backup-simplify]: Simplify (+ 0 0) into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.360 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))))) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.362 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))))) into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 (/ 1 (/ 1 x))))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.362 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0.362 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in (x) around 0 0.362 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.362 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.362 * [taylor]: Taking taylor expansion of 1/2 in x 0.362 * [backup-simplify]: Simplify 1/2 into 1/2 0.362 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.362 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.362 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 0.363 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 0.363 * [taylor]: Taking taylor expansion of 1/2 in x 0.363 * [backup-simplify]: Simplify 1/2 into 1/2 0.363 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.363 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.363 * [taylor]: Taking taylor expansion of 1/2 in x 0.363 * [backup-simplify]: Simplify 1/2 into 1/2 0.363 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.363 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.363 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 0.363 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 0.363 * [taylor]: Taking taylor expansion of 1/2 in x 0.363 * [backup-simplify]: Simplify 1/2 into 1/2 0.363 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.363 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0.363 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.364 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.364 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.366 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))) into 0 0.366 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.367 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))) into 0 0.367 * [backup-simplify]: Simplify (+ 0 0) into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.369 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))))) into 0 0.369 * [backup-simplify]: Simplify (+ 0 0) into 0 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.371 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))))) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 (/ -1 (/ 1 (- x)))))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.371 * * * [progress]: simplifying candidates 0.371 * * * * [progress]: [ 1 / 81 ] simplifiying candidate # 0.372 * [simplify]: Simplifying (/ (exp 1) (exp (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 0.372 * * [simplify]: iters left: 6 (10 enodes) 0.374 * * [simplify]: iters left: 5 (34 enodes) 0.380 * * [simplify]: iters left: 4 (40 enodes) 0.386 * * [simplify]: iters left: 3 (45 enodes) 0.398 * * [simplify]: iters left: 2 (49 enodes) 0.411 * * [simplify]: iters left: 1 (53 enodes) 0.421 * * [simplify]: Extracting #0: cost 1 inf + 0 0.421 * * [simplify]: Extracting #1: cost 6 inf + 0 0.421 * * [simplify]: Extracting #2: cost 11 inf + 1 0.421 * * [simplify]: Extracting #3: cost 13 inf + 2 0.421 * * [simplify]: Extracting #4: cost 16 inf + 2 0.421 * * [simplify]: Extracting #5: cost 17 inf + 3 0.421 * * [simplify]: Extracting #6: cost 19 inf + 3 0.421 * * [simplify]: Extracting #7: cost 18 inf + 4 0.422 * * [simplify]: Extracting #8: cost 16 inf + 159 0.422 * * [simplify]: Extracting #9: cost 11 inf + 768 0.422 * * [simplify]: Extracting #10: cost 3 inf + 2712 0.423 * * [simplify]: Extracting #11: cost 0 inf + 3466 0.423 * [simplify]: Simplified to (exp (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 0.423 * [simplify]: Simplified (2 1) to (λ (x) (log (exp (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 0.423 * * * * [progress]: [ 2 / 81 ] simplifiying candidate # 0.423 * * * * [progress]: [ 3 / 81 ] simplifiying candidate # 0.423 * * * * [progress]: [ 4 / 81 ] simplifiying candidate # 0.423 * * * * [progress]: [ 5 / 81 ] simplifiying candidate # 0.424 * * * * [progress]: [ 6 / 81 ] simplifiying candidate # 0.424 * * * * [progress]: [ 7 / 81 ] simplifiying candidate # 0.424 * * * * [progress]: [ 8 / 81 ] simplifiying candidate # 0.424 * * * * [progress]: [ 9 / 81 ] simplifiying candidate # 0.424 * * * * [progress]: [ 10 / 81 ] simplifiying candidate # 0.424 * * * * [progress]: [ 11 / 81 ] simplifiying candidate # 0.424 * * * * [progress]: [ 12 / 81 ] simplifiying candidate # 0.424 * [simplify]: Simplifying (+ (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 0.424 * * [simplify]: iters left: 6 (10 enodes) 0.427 * * [simplify]: iters left: 5 (34 enodes) 0.432 * * [simplify]: iters left: 4 (36 enodes) 0.438 * * [simplify]: Extracting #0: cost 1 inf + 0 0.438 * * [simplify]: Extracting #1: cost 4 inf + 0 0.438 * * [simplify]: Extracting #2: cost 5 inf + 1 0.438 * * [simplify]: Extracting #3: cost 7 inf + 1 0.438 * * [simplify]: Extracting #4: cost 10 inf + 1 0.438 * * [simplify]: Extracting #5: cost 11 inf + 2 0.438 * * [simplify]: Extracting #6: cost 13 inf + 2 0.438 * * [simplify]: Extracting #7: cost 12 inf + 3 0.438 * * [simplify]: Extracting #8: cost 9 inf + 215 0.438 * * [simplify]: Extracting #9: cost 4 inf + 945 0.439 * * [simplify]: Extracting #10: cost 0 inf + 1897 0.439 * [simplify]: Simplified to (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 0.439 * [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)))))) 0.439 * [simplify]: Simplifying (- (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 0.439 * * [simplify]: iters left: 6 (10 enodes) 0.448 * * [simplify]: iters left: 5 (35 enodes) 0.458 * * [simplify]: iters left: 4 (41 enodes) 0.469 * * [simplify]: Extracting #0: cost 1 inf + 0 0.469 * * [simplify]: Extracting #1: cost 5 inf + 0 0.469 * * [simplify]: Extracting #2: cost 7 inf + 1 0.469 * * [simplify]: Extracting #3: cost 9 inf + 1 0.469 * * [simplify]: Extracting #4: cost 12 inf + 1 0.469 * * [simplify]: Extracting #5: cost 13 inf + 2 0.469 * * [simplify]: Extracting #6: cost 15 inf + 2 0.469 * * [simplify]: Extracting #7: cost 14 inf + 3 0.469 * * [simplify]: Extracting #8: cost 10 inf + 313 0.469 * * [simplify]: Extracting #9: cost 7 inf + 767 0.470 * * [simplify]: Extracting #10: cost 0 inf + 2413 0.470 * [simplify]: Simplified to (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 0.470 * [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)))))) 0.470 * * * * [progress]: [ 13 / 81 ] simplifiying candidate # 0.470 * [simplify]: Simplifying (+ (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 0.470 * * [simplify]: iters left: 6 (10 enodes) 0.473 * * [simplify]: iters left: 5 (34 enodes) 0.478 * * [simplify]: iters left: 4 (36 enodes) 0.484 * * [simplify]: Extracting #0: cost 1 inf + 0 0.484 * * [simplify]: Extracting #1: cost 4 inf + 0 0.484 * * [simplify]: Extracting #2: cost 5 inf + 1 0.484 * * [simplify]: Extracting #3: cost 7 inf + 1 0.484 * * [simplify]: Extracting #4: cost 10 inf + 1 0.484 * * [simplify]: Extracting #5: cost 11 inf + 2 0.484 * * [simplify]: Extracting #6: cost 13 inf + 2 0.484 * * [simplify]: Extracting #7: cost 12 inf + 3 0.484 * * [simplify]: Extracting #8: cost 9 inf + 215 0.485 * * [simplify]: Extracting #9: cost 4 inf + 945 0.485 * * [simplify]: Extracting #10: cost 0 inf + 1897 0.485 * [simplify]: Simplified to (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 0.485 * [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)))))) 0.485 * [simplify]: Simplifying (- (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 0.485 * * [simplify]: iters left: 6 (10 enodes) 0.489 * * [simplify]: iters left: 5 (35 enodes) 0.494 * * [simplify]: iters left: 4 (41 enodes) 0.500 * * [simplify]: Extracting #0: cost 1 inf + 0 0.500 * * [simplify]: Extracting #1: cost 5 inf + 0 0.500 * * [simplify]: Extracting #2: cost 7 inf + 1 0.500 * * [simplify]: Extracting #3: cost 9 inf + 1 0.500 * * [simplify]: Extracting #4: cost 12 inf + 1 0.500 * * [simplify]: Extracting #5: cost 13 inf + 2 0.500 * * [simplify]: Extracting #6: cost 15 inf + 2 0.501 * * [simplify]: Extracting #7: cost 14 inf + 3 0.501 * * [simplify]: Extracting #8: cost 10 inf + 313 0.501 * * [simplify]: Extracting #9: cost 7 inf + 767 0.502 * * [simplify]: Extracting #10: cost 0 inf + 2413 0.502 * [simplify]: Simplified to (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 0.503 * [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)))))) 0.503 * * * * [progress]: [ 14 / 81 ] simplifiying candidate # 0.503 * [simplify]: Simplifying (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 0.503 * * [simplify]: iters left: 6 (9 enodes) 0.508 * * [simplify]: iters left: 5 (31 enodes) 0.517 * * [simplify]: iters left: 4 (33 enodes) 0.526 * * [simplify]: Extracting #0: cost 1 inf + 0 0.527 * * [simplify]: Extracting #1: cost 4 inf + 0 0.527 * * [simplify]: Extracting #2: cost 5 inf + 1 0.527 * * [simplify]: Extracting #3: cost 7 inf + 1 0.527 * * [simplify]: Extracting #4: cost 10 inf + 1 0.527 * * [simplify]: Extracting #5: cost 11 inf + 2 0.527 * * [simplify]: Extracting #6: cost 13 inf + 2 0.527 * * [simplify]: Extracting #7: cost 10 inf + 117 0.527 * * [simplify]: Extracting #8: cost 8 inf + 353 0.528 * * [simplify]: Extracting #9: cost 4 inf + 985 0.528 * * [simplify]: Extracting #10: cost 0 inf + 1897 0.528 * [simplify]: Simplified to (+ 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 0.528 * [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)))))) 0.528 * [simplify]: Simplifying (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 0.529 * * [simplify]: iters left: 6 (9 enodes) 0.531 * * [simplify]: iters left: 5 (32 enodes) 0.536 * * [simplify]: iters left: 4 (37 enodes) 0.542 * * [simplify]: Extracting #0: cost 1 inf + 0 0.542 * * [simplify]: Extracting #1: cost 5 inf + 0 0.542 * * [simplify]: Extracting #2: cost 7 inf + 1 0.542 * * [simplify]: Extracting #3: cost 9 inf + 1 0.542 * * [simplify]: Extracting #4: cost 12 inf + 1 0.542 * * [simplify]: Extracting #5: cost 13 inf + 2 0.542 * * [simplify]: Extracting #6: cost 15 inf + 2 0.542 * * [simplify]: Extracting #7: cost 13 inf + 60 0.543 * * [simplify]: Extracting #8: cost 10 inf + 353 0.543 * * [simplify]: Extracting #9: cost 3 inf + 1679 0.543 * * [simplify]: Extracting #10: cost 0 inf + 2413 0.544 * [simplify]: Simplified to (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 0.544 * [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)))))))) 0.544 * * * * [progress]: [ 15 / 81 ] simplifiying candidate # 0.544 * [simplify]: Simplifying (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 0.544 * * [simplify]: iters left: 6 (9 enodes) 0.546 * * [simplify]: iters left: 5 (31 enodes) 0.551 * * [simplify]: iters left: 4 (33 enodes) 0.558 * * [simplify]: Extracting #0: cost 1 inf + 0 0.558 * * [simplify]: Extracting #1: cost 4 inf + 0 0.558 * * [simplify]: Extracting #2: cost 5 inf + 1 0.558 * * [simplify]: Extracting #3: cost 7 inf + 1 0.558 * * [simplify]: Extracting #4: cost 10 inf + 1 0.558 * * [simplify]: Extracting #5: cost 11 inf + 2 0.558 * * [simplify]: Extracting #6: cost 13 inf + 2 0.558 * * [simplify]: Extracting #7: cost 10 inf + 117 0.558 * * [simplify]: Extracting #8: cost 8 inf + 353 0.559 * * [simplify]: Extracting #9: cost 4 inf + 985 0.559 * * [simplify]: Extracting #10: cost 0 inf + 1897 0.559 * [simplify]: Simplified to (+ 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 0.559 * [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)))))) 0.560 * [simplify]: Simplifying (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 0.560 * * [simplify]: iters left: 6 (9 enodes) 0.564 * * [simplify]: iters left: 5 (32 enodes) 0.575 * * [simplify]: iters left: 4 (37 enodes) 0.586 * * [simplify]: Extracting #0: cost 1 inf + 0 0.586 * * [simplify]: Extracting #1: cost 5 inf + 0 0.586 * * [simplify]: Extracting #2: cost 7 inf + 1 0.586 * * [simplify]: Extracting #3: cost 9 inf + 1 0.586 * * [simplify]: Extracting #4: cost 12 inf + 1 0.586 * * [simplify]: Extracting #5: cost 13 inf + 2 0.586 * * [simplify]: Extracting #6: cost 15 inf + 2 0.586 * * [simplify]: Extracting #7: cost 13 inf + 60 0.587 * * [simplify]: Extracting #8: cost 10 inf + 353 0.587 * * [simplify]: Extracting #9: cost 3 inf + 1679 0.588 * * [simplify]: Extracting #10: cost 0 inf + 2413 0.589 * [simplify]: Simplified to (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 0.589 * [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)))))))) 0.589 * * * * [progress]: [ 16 / 81 ] simplifiying candidate # 0.589 * [simplify]: Simplifying (sqrt 1) 0.589 * * [simplify]: iters left: 1 (2 enodes) 0.592 * * [simplify]: Extracting #0: cost 1 inf + 0 0.592 * * [simplify]: Extracting #1: cost 0 inf + 1 0.592 * [simplify]: Simplified to 1 0.592 * [simplify]: Simplified (2 1) to (λ (x) (* 1 (- (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 0.593 * [simplify]: Simplifying (- (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 0.593 * * [simplify]: iters left: 6 (9 enodes) 0.599 * * [simplify]: iters left: 5 (32 enodes) 0.608 * * [simplify]: iters left: 4 (38 enodes) 0.618 * * [simplify]: Extracting #0: cost 1 inf + 0 0.618 * * [simplify]: Extracting #1: cost 5 inf + 0 0.618 * * [simplify]: Extracting #2: cost 7 inf + 1 0.618 * * [simplify]: Extracting #3: cost 10 inf + 1 0.618 * * [simplify]: Extracting #4: cost 11 inf + 2 0.619 * * [simplify]: Extracting #5: cost 13 inf + 2 0.619 * * [simplify]: Extracting #6: cost 12 inf + 3 0.619 * * [simplify]: Extracting #7: cost 9 inf + 256 0.619 * * [simplify]: Extracting #8: cost 4 inf + 985 0.620 * * [simplify]: Extracting #9: cost 0 inf + 1817 0.620 * [simplify]: Simplified to (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 0.620 * [simplify]: Simplified (2 2) to (λ (x) (* (sqrt 1) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 0.620 * * * * [progress]: [ 17 / 81 ] simplifiying candidate # 0.621 * [simplify]: Simplifying (sqrt 1) 0.621 * * [simplify]: iters left: 1 (2 enodes) 0.624 * * [simplify]: Extracting #0: cost 1 inf + 0 0.624 * * [simplify]: Extracting #1: cost 0 inf + 1 0.624 * [simplify]: Simplified to 1 0.624 * [simplify]: Simplified (2 1) to (λ (x) (* 1 (- (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 0.624 * [simplify]: Simplifying (- (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 0.624 * * [simplify]: iters left: 6 (9 enodes) 0.630 * * [simplify]: iters left: 5 (32 enodes) 0.640 * * [simplify]: iters left: 4 (38 enodes) 0.651 * * [simplify]: Extracting #0: cost 1 inf + 0 0.651 * * [simplify]: Extracting #1: cost 5 inf + 0 0.651 * * [simplify]: Extracting #2: cost 7 inf + 1 0.651 * * [simplify]: Extracting #3: cost 10 inf + 1 0.651 * * [simplify]: Extracting #4: cost 11 inf + 2 0.651 * * [simplify]: Extracting #5: cost 13 inf + 2 0.651 * * [simplify]: Extracting #6: cost 12 inf + 3 0.651 * * [simplify]: Extracting #7: cost 9 inf + 256 0.651 * * [simplify]: Extracting #8: cost 4 inf + 985 0.652 * * [simplify]: Extracting #9: cost 0 inf + 1817 0.652 * [simplify]: Simplified to (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 0.652 * [simplify]: Simplified (2 2) to (λ (x) (* (sqrt 1) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 0.652 * * * * [progress]: [ 18 / 81 ] simplifiying candidate # 0.652 * [simplify]: Simplifying (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 0.652 * * [simplify]: iters left: 6 (8 enodes) 0.655 * * [simplify]: iters left: 5 (29 enodes) 0.659 * * [simplify]: iters left: 4 (34 enodes) 0.665 * * [simplify]: Extracting #0: cost 1 inf + 0 0.665 * * [simplify]: Extracting #1: cost 5 inf + 0 0.665 * * [simplify]: Extracting #2: cost 7 inf + 1 0.665 * * [simplify]: Extracting #3: cost 10 inf + 1 0.665 * * [simplify]: Extracting #4: cost 11 inf + 2 0.665 * * [simplify]: Extracting #5: cost 13 inf + 2 0.665 * * [simplify]: Extracting #6: cost 11 inf + 60 0.665 * * [simplify]: Extracting #7: cost 7 inf + 451 0.666 * * [simplify]: Extracting #8: cost 0 inf + 1817 0.666 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 0.666 * [simplify]: Simplified (2 2) to (λ (x) (* 1 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 0.666 * * * * [progress]: [ 19 / 81 ] simplifiying candidate # 0.666 * * * * [progress]: [ 20 / 81 ] simplifiying candidate #real (real->posit16 (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 0.666 * * * * [progress]: [ 21 / 81 ] simplifiying candidate # 0.666 * * * * [progress]: [ 22 / 81 ] simplifiying candidate # 0.666 * [simplify]: Simplifying (- (log 1/2) (log (hypot 1 x))) 0.666 * * [simplify]: iters left: 4 (7 enodes) 0.669 * * [simplify]: iters left: 3 (25 enodes) 0.673 * * [simplify]: iters left: 2 (30 enodes) 0.678 * * [simplify]: Extracting #0: cost 1 inf + 0 0.678 * * [simplify]: Extracting #1: cost 5 inf + 0 0.678 * * [simplify]: Extracting #2: cost 10 inf + 0 0.678 * * [simplify]: Extracting #3: cost 12 inf + 1 0.678 * * [simplify]: Extracting #4: cost 8 inf + 145 0.678 * * [simplify]: Extracting #5: cost 5 inf + 496 0.679 * * [simplify]: Extracting #6: cost 1 inf + 1085 0.679 * * [simplify]: Extracting #7: cost 0 inf + 1323 0.679 * [simplify]: Simplified to (- (log 1/2) (log (hypot 1 x))) 0.679 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (exp (- (log 1/2) (log (hypot 1 x)))) 1/2)))) 0.679 * * * * [progress]: [ 23 / 81 ] simplifiying candidate # 0.679 * * * * [progress]: [ 24 / 81 ] simplifiying candidate # 0.679 * * * * [progress]: [ 25 / 81 ] simplifiying candidate # 0.679 * [simplify]: Simplifying (/ (* (* 1/2 1/2) 1/2) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 0.680 * * [simplify]: iters left: 6 (9 enodes) 0.688 * * [simplify]: iters left: 5 (39 enodes) 0.703 * * [simplify]: iters left: 4 (84 enodes) 0.723 * * [simplify]: iters left: 3 (177 enodes) 0.776 * * [simplify]: iters left: 2 (274 enodes) 0.888 * * [simplify]: iters left: 1 (390 enodes) 1.014 * * [simplify]: Extracting #0: cost 1 inf + 0 1.014 * * [simplify]: Extracting #1: cost 52 inf + 0 1.014 * * [simplify]: Extracting #2: cost 110 inf + 3 1.015 * * [simplify]: Extracting #3: cost 98 inf + 1349 1.017 * * [simplify]: Extracting #4: cost 44 inf + 11555 1.021 * * [simplify]: Extracting #5: cost 7 inf + 27227 1.026 * * [simplify]: Extracting #6: cost 0 inf + 31060 1.034 * [simplify]: Simplified to (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))) 1.034 * [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)))) 1.035 * * * * [progress]: [ 26 / 81 ] simplifiying candidate # 1.035 * * * * [progress]: [ 27 / 81 ] simplifiying candidate # 1.035 * * * * [progress]: [ 28 / 81 ] simplifiying candidate # 1.035 * * * * [progress]: [ 29 / 81 ] simplifiying candidate # 1.035 * * * * [progress]: [ 30 / 81 ] simplifiying candidate # 1.035 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1.035 * * [simplify]: iters left: 6 (9 enodes) 1.041 * * [simplify]: iters left: 5 (35 enodes) 1.052 * * [simplify]: iters left: 4 (52 enodes) 1.069 * * [simplify]: iters left: 3 (59 enodes) 1.086 * * [simplify]: iters left: 2 (62 enodes) 1.102 * * [simplify]: Extracting #0: cost 1 inf + 0 1.102 * * [simplify]: Extracting #1: cost 11 inf + 0 1.102 * * [simplify]: Extracting #2: cost 22 inf + 0 1.103 * * [simplify]: Extracting #3: cost 24 inf + 1 1.103 * * [simplify]: Extracting #4: cost 20 inf + 141 1.103 * * [simplify]: Extracting #5: cost 4 inf + 3413 1.104 * * [simplify]: Extracting #6: cost 0 inf + 4565 1.106 * [simplify]: Simplified to (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) 1.106 * [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)))) 1.106 * [simplify]: Simplifying (/ (cbrt 1/2) (cbrt (hypot 1 x))) 1.106 * * [simplify]: iters left: 4 (7 enodes) 1.114 * * [simplify]: iters left: 3 (23 enodes) 1.120 * * [simplify]: iters left: 2 (25 enodes) 1.125 * * [simplify]: Extracting #0: cost 1 inf + 0 1.125 * * [simplify]: Extracting #1: cost 4 inf + 0 1.125 * * [simplify]: Extracting #2: cost 8 inf + 0 1.125 * * [simplify]: Extracting #3: cost 10 inf + 1 1.125 * * [simplify]: Extracting #4: cost 6 inf + 165 1.125 * * [simplify]: Extracting #5: cost 2 inf + 674 1.125 * * [simplify]: Extracting #6: cost 0 inf + 1069 1.125 * [simplify]: Simplified to (/ (cbrt 1/2) (cbrt (hypot 1 x))) 1.125 * [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)))) 1.125 * * * * [progress]: [ 31 / 81 ] simplifiying candidate # 1.126 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 1.126 * * [simplify]: iters left: 5 (8 enodes) 1.128 * * [simplify]: iters left: 4 (28 enodes) 1.133 * * [simplify]: iters left: 3 (34 enodes) 1.139 * * [simplify]: iters left: 2 (37 enodes) 1.145 * * [simplify]: Extracting #0: cost 1 inf + 0 1.145 * * [simplify]: Extracting #1: cost 7 inf + 0 1.145 * * [simplify]: Extracting #2: cost 14 inf + 0 1.145 * * [simplify]: Extracting #3: cost 16 inf + 1 1.145 * * [simplify]: Extracting #4: cost 12 inf + 141 1.145 * * [simplify]: Extracting #5: cost 1 inf + 1885 1.145 * * [simplify]: Extracting #6: cost 0 inf + 2103 1.146 * [simplify]: Simplified to (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) 1.146 * [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)))) 1.146 * [simplify]: Simplifying (/ (cbrt 1/2) (sqrt (hypot 1 x))) 1.146 * * [simplify]: iters left: 4 (7 enodes) 1.148 * * [simplify]: iters left: 3 (23 enodes) 1.156 * * [simplify]: iters left: 2 (25 enodes) 1.164 * * [simplify]: Extracting #0: cost 1 inf + 0 1.164 * * [simplify]: Extracting #1: cost 4 inf + 0 1.164 * * [simplify]: Extracting #2: cost 8 inf + 0 1.165 * * [simplify]: Extracting #3: cost 10 inf + 1 1.165 * * [simplify]: Extracting #4: cost 6 inf + 165 1.165 * * [simplify]: Extracting #5: cost 2 inf + 594 1.165 * * [simplify]: Extracting #6: cost 0 inf + 909 1.165 * [simplify]: Simplified to (/ (cbrt 1/2) (sqrt (hypot 1 x))) 1.166 * [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)))) 1.166 * * * * [progress]: [ 32 / 81 ] simplifiying candidate # 1.166 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1.166 * * [simplify]: iters left: 5 (5 enodes) 1.170 * * [simplify]: iters left: 4 (17 enodes) 1.176 * * [simplify]: iters left: 3 (27 enodes) 1.185 * * [simplify]: iters left: 2 (28 enodes) 1.194 * * [simplify]: Extracting #0: cost 1 inf + 0 1.194 * * [simplify]: Extracting #1: cost 5 inf + 0 1.194 * * [simplify]: Extracting #2: cost 7 inf + 1 1.194 * * [simplify]: Extracting #3: cost 6 inf + 2 1.194 * * [simplify]: Extracting #4: cost 1 inf + 528 1.194 * * [simplify]: Extracting #5: cost 0 inf + 650 1.195 * [simplify]: Simplified to (* (cbrt 1/2) (cbrt 1/2)) 1.195 * [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)))) 1.195 * [simplify]: Simplifying (/ (cbrt 1/2) (hypot 1 x)) 1.195 * * [simplify]: iters left: 3 (6 enodes) 1.199 * * [simplify]: iters left: 2 (20 enodes) 1.207 * * [simplify]: iters left: 1 (22 enodes) 1.214 * * [simplify]: Extracting #0: cost 1 inf + 0 1.214 * * [simplify]: Extracting #1: cost 4 inf + 0 1.214 * * [simplify]: Extracting #2: cost 9 inf + 0 1.214 * * [simplify]: Extracting #3: cost 6 inf + 3 1.214 * * [simplify]: Extracting #4: cost 1 inf + 457 1.214 * * [simplify]: Extracting #5: cost 0 inf + 635 1.215 * [simplify]: Simplified to (/ (cbrt 1/2) (hypot 1 x)) 1.215 * [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)))) 1.215 * * * * [progress]: [ 33 / 81 ] simplifiying candidate # 1.215 * [simplify]: Simplifying (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1.215 * * [simplify]: iters left: 6 (8 enodes) 1.220 * * [simplify]: iters left: 5 (28 enodes) 1.229 * * [simplify]: iters left: 4 (32 enodes) 1.234 * * [simplify]: Extracting #0: cost 1 inf + 0 1.234 * * [simplify]: Extracting #1: cost 6 inf + 0 1.234 * * [simplify]: Extracting #2: cost 12 inf + 0 1.234 * * [simplify]: Extracting #3: cost 14 inf + 1 1.234 * * [simplify]: Extracting #4: cost 11 inf + 44 1.234 * * [simplify]: Extracting #5: cost 7 inf + 336 1.234 * * [simplify]: Extracting #6: cost 0 inf + 1779 1.234 * [simplify]: Simplified to (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) 1.234 * [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)))) 1.235 * [simplify]: Simplifying (/ (sqrt 1/2) (cbrt (hypot 1 x))) 1.235 * * [simplify]: iters left: 4 (7 enodes) 1.239 * * [simplify]: iters left: 3 (23 enodes) 1.243 * * [simplify]: iters left: 2 (25 enodes) 1.247 * * [simplify]: Extracting #0: cost 1 inf + 0 1.247 * * [simplify]: Extracting #1: cost 4 inf + 0 1.247 * * [simplify]: Extracting #2: cost 8 inf + 0 1.247 * * [simplify]: Extracting #3: cost 10 inf + 1 1.247 * * [simplify]: Extracting #4: cost 6 inf + 85 1.247 * * [simplify]: Extracting #5: cost 2 inf + 554 1.247 * * [simplify]: Extracting #6: cost 0 inf + 909 1.248 * [simplify]: Simplified to (/ (sqrt 1/2) (cbrt (hypot 1 x))) 1.248 * [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)))) 1.248 * * * * [progress]: [ 34 / 81 ] simplifiying candidate # 1.248 * [simplify]: Simplifying (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1.248 * * [simplify]: iters left: 4 (7 enodes) 1.250 * * [simplify]: iters left: 3 (23 enodes) 1.254 * * [simplify]: iters left: 2 (25 enodes) 1.259 * * [simplify]: Extracting #0: cost 1 inf + 0 1.259 * * [simplify]: Extracting #1: cost 4 inf + 0 1.259 * * [simplify]: Extracting #2: cost 8 inf + 0 1.259 * * [simplify]: Extracting #3: cost 10 inf + 1 1.259 * * [simplify]: Extracting #4: cost 6 inf + 85 1.259 * * [simplify]: Extracting #5: cost 2 inf + 474 1.259 * * [simplify]: Extracting #6: cost 0 inf + 749 1.259 * [simplify]: Simplified to (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1.259 * [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)))) 1.259 * [simplify]: Simplifying (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1.260 * * [simplify]: iters left: 4 (7 enodes) 1.262 * * [simplify]: iters left: 3 (23 enodes) 1.266 * * [simplify]: iters left: 2 (25 enodes) 1.270 * * [simplify]: Extracting #0: cost 1 inf + 0 1.270 * * [simplify]: Extracting #1: cost 4 inf + 0 1.270 * * [simplify]: Extracting #2: cost 8 inf + 0 1.270 * * [simplify]: Extracting #3: cost 10 inf + 1 1.270 * * [simplify]: Extracting #4: cost 6 inf + 85 1.270 * * [simplify]: Extracting #5: cost 2 inf + 474 1.270 * * [simplify]: Extracting #6: cost 0 inf + 749 1.270 * [simplify]: Simplified to (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1.270 * [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)))) 1.270 * * * * [progress]: [ 35 / 81 ] simplifiying candidate # 1.271 * [simplify]: Simplifying (/ (sqrt 1/2) 1) 1.271 * * [simplify]: iters left: 3 (4 enodes) 1.272 * * [simplify]: iters left: 2 (12 enodes) 1.275 * * [simplify]: iters left: 1 (14 enodes) 1.277 * * [simplify]: Extracting #0: cost 1 inf + 0 1.277 * * [simplify]: Extracting #1: cost 4 inf + 0 1.277 * * [simplify]: Extracting #2: cost 0 inf + 84 1.277 * [simplify]: Simplified to (sqrt 1/2) 1.277 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (* (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x))) 1/2)))) 1.278 * [simplify]: Simplifying (/ (sqrt 1/2) (hypot 1 x)) 1.278 * * [simplify]: iters left: 3 (6 enodes) 1.280 * * [simplify]: iters left: 2 (20 enodes) 1.284 * * [simplify]: iters left: 1 (22 enodes) 1.287 * * [simplify]: Extracting #0: cost 1 inf + 0 1.288 * * [simplify]: Extracting #1: cost 4 inf + 0 1.288 * * [simplify]: Extracting #2: cost 9 inf + 0 1.288 * * [simplify]: Extracting #3: cost 6 inf + 3 1.288 * * [simplify]: Extracting #4: cost 1 inf + 337 1.288 * * [simplify]: Extracting #5: cost 0 inf + 475 1.288 * [simplify]: Simplified to (/ (sqrt 1/2) (hypot 1 x)) 1.288 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (* (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x))) 1/2)))) 1.288 * * * * [progress]: [ 36 / 81 ] simplifiying candidate # 1.288 * [simplify]: Simplifying (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1.288 * * [simplify]: iters left: 6 (6 enodes) 1.290 * * [simplify]: iters left: 5 (22 enodes) 1.294 * * [simplify]: iters left: 4 (26 enodes) 1.298 * * [simplify]: Extracting #0: cost 1 inf + 0 1.298 * * [simplify]: Extracting #1: cost 6 inf + 0 1.298 * * [simplify]: Extracting #2: cost 9 inf + 1 1.298 * * [simplify]: Extracting #3: cost 11 inf + 1 1.298 * * [simplify]: Extracting #4: cost 8 inf + 116 1.298 * * [simplify]: Extracting #5: cost 2 inf + 1138 1.298 * * [simplify]: Extracting #6: cost 0 inf + 1532 1.299 * [simplify]: Simplified to (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 1.299 * [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)))) 1.299 * [simplify]: Simplifying (/ 1/2 (cbrt (hypot 1 x))) 1.299 * * [simplify]: iters left: 4 (6 enodes) 1.301 * * [simplify]: iters left: 3 (20 enodes) 1.304 * * [simplify]: iters left: 2 (22 enodes) 1.308 * * [simplify]: Extracting #0: cost 1 inf + 0 1.308 * * [simplify]: Extracting #1: cost 4 inf + 0 1.308 * * [simplify]: Extracting #2: cost 5 inf + 1 1.308 * * [simplify]: Extracting #3: cost 8 inf + 1 1.308 * * [simplify]: Extracting #4: cost 6 inf + 3 1.308 * * [simplify]: Extracting #5: cost 1 inf + 569 1.308 * * [simplify]: Extracting #6: cost 0 inf + 747 1.309 * [simplify]: Simplified to (/ 1/2 (cbrt (hypot 1 x))) 1.309 * [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)))) 1.309 * * * * [progress]: [ 37 / 81 ] simplifiying candidate # 1.309 * [simplify]: Simplifying (/ 1 (sqrt (hypot 1 x))) 1.309 * * [simplify]: iters left: 4 (5 enodes) 1.310 * * [simplify]: iters left: 3 (17 enodes) 1.315 * * [simplify]: iters left: 2 (19 enodes) 1.320 * * [simplify]: Extracting #0: cost 1 inf + 0 1.320 * * [simplify]: Extracting #1: cost 4 inf + 0 1.320 * * [simplify]: Extracting #2: cost 5 inf + 1 1.320 * * [simplify]: Extracting #3: cost 7 inf + 1 1.320 * * [simplify]: Extracting #4: cost 0 inf + 584 1.321 * [simplify]: Simplified to (/ 1 (sqrt (hypot 1 x))) 1.321 * [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)))) 1.321 * [simplify]: Simplifying (/ 1/2 (sqrt (hypot 1 x))) 1.321 * * [simplify]: iters left: 4 (6 enodes) 1.324 * * [simplify]: iters left: 3 (20 enodes) 1.331 * * [simplify]: iters left: 2 (22 enodes) 1.340 * * [simplify]: Extracting #0: cost 1 inf + 0 1.340 * * [simplify]: Extracting #1: cost 4 inf + 0 1.340 * * [simplify]: Extracting #2: cost 5 inf + 1 1.340 * * [simplify]: Extracting #3: cost 8 inf + 1 1.340 * * [simplify]: Extracting #4: cost 6 inf + 3 1.340 * * [simplify]: Extracting #5: cost 1 inf + 449 1.341 * * [simplify]: Extracting #6: cost 0 inf + 587 1.341 * [simplify]: Simplified to (/ 1/2 (sqrt (hypot 1 x))) 1.341 * [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)))) 1.341 * * * * [progress]: [ 38 / 81 ] simplifiying candidate # 1.341 * [simplify]: Simplifying (/ 1 1) 1.341 * * [simplify]: iters left: 2 (2 enodes) 1.343 * * [simplify]: iters left: 1 (6 enodes) 1.345 * * [simplify]: Extracting #0: cost 1 inf + 0 1.345 * * [simplify]: Extracting #1: cost 0 inf + 1 1.345 * [simplify]: Simplified to 1 1.345 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (* 1 (/ 1/2 (hypot 1 x))) 1/2)))) 1.345 * [simplify]: Simplifying (/ 1/2 (hypot 1 x)) 1.345 * * [simplify]: iters left: 3 (5 enodes) 1.348 * * [simplify]: iters left: 2 (17 enodes) 1.354 * * [simplify]: iters left: 1 (19 enodes) 1.360 * * [simplify]: Extracting #0: cost 1 inf + 0 1.360 * * [simplify]: Extracting #1: cost 4 inf + 0 1.360 * * [simplify]: Extracting #2: cost 6 inf + 1 1.360 * * [simplify]: Extracting #3: cost 0 inf + 313 1.361 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 1.361 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (* 1 (/ 1/2 (hypot 1 x))) 1/2)))) 1.361 * * * * [progress]: [ 39 / 81 ] simplifiying candidate # 1.361 * * * * [progress]: [ 40 / 81 ] simplifiying candidate # 1.361 * * * * [progress]: [ 41 / 81 ] simplifiying candidate # 1.361 * * * * [progress]: [ 42 / 81 ] simplifiying candidate # 1.361 * [simplify]: Simplifying (cbrt (hypot 1 x)) 1.361 * * [simplify]: iters left: 2 (4 enodes) 1.363 * * [simplify]: iters left: 1 (14 enodes) 1.367 * * [simplify]: Extracting #0: cost 1 inf + 0 1.368 * * [simplify]: Extracting #1: cost 3 inf + 0 1.368 * * [simplify]: Extracting #2: cost 6 inf + 0 1.368 * * [simplify]: Extracting #3: cost 2 inf + 116 1.368 * * [simplify]: Extracting #4: cost 1 inf + 253 1.368 * * [simplify]: Extracting #5: cost 0 inf + 390 1.368 * [simplify]: Simplified to (cbrt (hypot 1 x)) 1.368 * [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)))) 1.368 * * * * [progress]: [ 43 / 81 ] simplifiying candidate # 1.369 * [simplify]: Simplifying (sqrt (hypot 1 x)) 1.369 * * [simplify]: iters left: 2 (4 enodes) 1.371 * * [simplify]: iters left: 1 (14 enodes) 1.375 * * [simplify]: Extracting #0: cost 1 inf + 0 1.375 * * [simplify]: Extracting #1: cost 3 inf + 0 1.375 * * [simplify]: Extracting #2: cost 6 inf + 0 1.375 * * [simplify]: Extracting #3: cost 2 inf + 116 1.375 * * [simplify]: Extracting #4: cost 1 inf + 213 1.375 * * [simplify]: Extracting #5: cost 0 inf + 310 1.375 * [simplify]: Simplified to (sqrt (hypot 1 x)) 1.375 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) 1/2)))) 1.376 * * * * [progress]: [ 44 / 81 ] simplifiying candidate # 1.376 * [simplify]: Simplifying (hypot 1 x) 1.376 * * [simplify]: iters left: 1 (3 enodes) 1.378 * * [simplify]: Extracting #0: cost 1 inf + 0 1.378 * * [simplify]: Extracting #1: cost 4 inf + 0 1.378 * * [simplify]: Extracting #2: cost 2 inf + 2 1.378 * * [simplify]: Extracting #3: cost 0 inf + 116 1.378 * [simplify]: Simplified to (hypot 1 x) 1.378 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (/ (/ 1/2 1) (hypot 1 x)) 1/2)))) 1.378 * * * * [progress]: [ 45 / 81 ] simplifiying candidate # 1.378 * [simplify]: Simplifying (* (cbrt 1/2) (cbrt 1/2)) 1.378 * * [simplify]: iters left: 3 (3 enodes) 1.380 * * [simplify]: iters left: 2 (9 enodes) 1.384 * * [simplify]: Extracting #0: cost 1 inf + 0 1.384 * * [simplify]: Extracting #1: cost 3 inf + 0 1.384 * * [simplify]: Extracting #2: cost 5 inf + 0 1.384 * * [simplify]: Extracting #3: cost 4 inf + 1 1.384 * * [simplify]: Extracting #4: cost 0 inf + 405 1.384 * [simplify]: Simplified to (* (cbrt 1/2) (cbrt 1/2)) 1.385 * [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)))) 1.385 * * * * [progress]: [ 46 / 81 ] simplifiying candidate # 1.385 * [simplify]: Simplifying (sqrt 1/2) 1.385 * * [simplify]: iters left: 1 (2 enodes) 1.387 * * [simplify]: Extracting #0: cost 1 inf + 0 1.387 * * [simplify]: Extracting #1: cost 3 inf + 0 1.387 * * [simplify]: Extracting #2: cost 2 inf + 1 1.387 * * [simplify]: Extracting #3: cost 0 inf + 83 1.387 * [simplify]: Simplified to (sqrt 1/2) 1.387 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (/ (sqrt 1/2) (/ (hypot 1 x) (sqrt 1/2))) 1/2)))) 1.387 * * * * [progress]: [ 47 / 81 ] simplifiying candidate # 1.387 * * * * [progress]: [ 48 / 81 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))) 1/2))))> 1.387 * * * * [progress]: [ 49 / 81 ] simplifiying candidate # 1.387 * * * * [progress]: [ 50 / 81 ] simplifiying candidate # 1.387 * * * * [progress]: [ 51 / 81 ] simplifiying candidate # 1.387 * * * * [progress]: [ 52 / 81 ] simplifiying candidate # 1.387 * * * * [progress]: [ 53 / 81 ] simplifiying candidate # 1.387 * * * * [progress]: [ 54 / 81 ] simplifiying candidate # 1.387 * * * * [progress]: [ 55 / 81 ] simplifiying candidate # 1.388 * * * * [progress]: [ 56 / 81 ] simplifiying candidate #real (real->posit16 (hypot 1 x)))) 1/2))))> 1.388 * * * * [progress]: [ 57 / 81 ] simplifiying candidate # 1.388 * [simplify]: Simplifying (* (exp (/ 1/2 (hypot 1 x))) (exp 1/2)) 1.388 * * [simplify]: iters left: 6 (8 enodes) 1.392 * * [simplify]: iters left: 5 (29 enodes) 1.399 * * [simplify]: iters left: 4 (35 enodes) 1.404 * * [simplify]: Extracting #0: cost 1 inf + 0 1.404 * * [simplify]: Extracting #1: cost 5 inf + 0 1.404 * * [simplify]: Extracting #2: cost 10 inf + 0 1.404 * * [simplify]: Extracting #3: cost 11 inf + 1 1.404 * * [simplify]: Extracting #4: cost 12 inf + 143 1.404 * * [simplify]: Extracting #5: cost 10 inf + 145 1.404 * * [simplify]: Extracting #6: cost 9 inf + 202 1.405 * * [simplify]: Extracting #7: cost 1 inf + 1315 1.405 * * [simplify]: Extracting #8: cost 0 inf + 1483 1.405 * [simplify]: Simplified to (exp (+ 1/2 (/ 1/2 (hypot 1 x)))) 1.405 * [simplify]: Simplified (2 2 1 1) to (λ (x) (- 1 (sqrt (log (exp (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 1.405 * * * * [progress]: [ 58 / 81 ] simplifiying candidate # 1.405 * * * * [progress]: [ 59 / 81 ] simplifiying candidate # 1.405 * * * * [progress]: [ 60 / 81 ] simplifiying candidate # 1.405 * * * * [progress]: [ 61 / 81 ] simplifiying candidate # 1.405 * * * * [progress]: [ 62 / 81 ] simplifiying candidate # 1.405 * * * * [progress]: [ 63 / 81 ] simplifiying candidate # 1.406 * * * * [progress]: [ 64 / 81 ] simplifiying candidate # 1.406 * * * * [progress]: [ 65 / 81 ] simplifiying candidate # 1.406 * * * * [progress]: [ 66 / 81 ] simplifiying candidate # 1.406 * * * * [progress]: [ 67 / 81 ] simplifiying candidate # 1.406 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 1.406 * * [simplify]: iters left: 5 (6 enodes) 1.408 * * [simplify]: iters left: 4 (21 enodes) 1.411 * * [simplify]: iters left: 3 (23 enodes) 1.415 * * [simplify]: Extracting #0: cost 1 inf + 0 1.415 * * [simplify]: Extracting #1: cost 4 inf + 0 1.415 * * [simplify]: Extracting #2: cost 5 inf + 1 1.415 * * [simplify]: Extracting #3: cost 8 inf + 1 1.415 * * [simplify]: Extracting #4: cost 6 inf + 3 1.415 * * [simplify]: Extracting #5: cost 0 inf + 589 1.415 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 1.415 * [simplify]: Simplified (2 2 1 2) to (λ (x) (- 1 (sqrt (* 1 (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.415 * * * * [progress]: [ 68 / 81 ] simplifiying candidate #real (real->posit16 (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 1.415 * * * * [progress]: [ 69 / 81 ] simplifiying candidate # 1.415 * * * * [progress]: [ 70 / 81 ] simplifiying candidate # 1.415 * [simplify]: Simplifying (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 1.416 * * [simplify]: iters left: 6 (9 enodes) 1.418 * * [simplify]: iters left: 5 (35 enodes) 1.424 * * [simplify]: iters left: 4 (44 enodes) 1.436 * * [simplify]: iters left: 3 (48 enodes) 1.449 * * [simplify]: Extracting #0: cost 1 inf + 0 1.449 * * [simplify]: Extracting #1: cost 5 inf + 0 1.449 * * [simplify]: Extracting #2: cost 7 inf + 1 1.449 * * [simplify]: Extracting #3: cost 11 inf + 1 1.449 * * [simplify]: Extracting #4: cost 14 inf + 2 1.449 * * [simplify]: Extracting #5: cost 17 inf + 2 1.449 * * [simplify]: Extracting #6: cost 15 inf + 60 1.449 * * [simplify]: Extracting #7: cost 10 inf + 546 1.450 * * [simplify]: Extracting #8: cost 4 inf + 1453 1.451 * * [simplify]: Extracting #9: cost 0 inf + 2285 1.452 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1.452 * [simplify]: Simplified (2) to (λ (x) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 1.452 * * * * [progress]: [ 71 / 81 ] simplifiying candidate # 1.452 * [simplify]: Simplifying (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 1.452 * * [simplify]: iters left: 6 (9 enodes) 1.457 * * [simplify]: iters left: 5 (35 enodes) 1.471 * * [simplify]: iters left: 4 (44 enodes) 1.482 * * [simplify]: iters left: 3 (48 enodes) 1.495 * * [simplify]: Extracting #0: cost 1 inf + 0 1.495 * * [simplify]: Extracting #1: cost 5 inf + 0 1.495 * * [simplify]: Extracting #2: cost 7 inf + 1 1.495 * * [simplify]: Extracting #3: cost 11 inf + 1 1.495 * * [simplify]: Extracting #4: cost 14 inf + 2 1.495 * * [simplify]: Extracting #5: cost 17 inf + 2 1.496 * * [simplify]: Extracting #6: cost 15 inf + 60 1.496 * * [simplify]: Extracting #7: cost 10 inf + 546 1.496 * * [simplify]: Extracting #8: cost 4 inf + 1453 1.497 * * [simplify]: Extracting #9: cost 0 inf + 2285 1.498 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1.498 * [simplify]: Simplified (2) to (λ (x) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 1.498 * * * * [progress]: [ 72 / 81 ] simplifiying candidate # 1.498 * [simplify]: Simplifying (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 1.498 * * [simplify]: iters left: 6 (9 enodes) 1.504 * * [simplify]: iters left: 5 (35 enodes) 1.515 * * [simplify]: iters left: 4 (44 enodes) 1.527 * * [simplify]: iters left: 3 (48 enodes) 1.540 * * [simplify]: Extracting #0: cost 1 inf + 0 1.540 * * [simplify]: Extracting #1: cost 5 inf + 0 1.540 * * [simplify]: Extracting #2: cost 7 inf + 1 1.540 * * [simplify]: Extracting #3: cost 11 inf + 1 1.540 * * [simplify]: Extracting #4: cost 14 inf + 2 1.541 * * [simplify]: Extracting #5: cost 17 inf + 2 1.541 * * [simplify]: Extracting #6: cost 15 inf + 60 1.541 * * [simplify]: Extracting #7: cost 10 inf + 546 1.541 * * [simplify]: Extracting #8: cost 4 inf + 1453 1.542 * * [simplify]: Extracting #9: cost 0 inf + 2285 1.543 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1.543 * [simplify]: Simplified (2) to (λ (x) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 1.543 * * * * [progress]: [ 73 / 81 ] simplifiying candidate # 1.543 * [simplify]: Simplifying (/ 1/2 (hypot 1 x)) 1.543 * * [simplify]: iters left: 3 (5 enodes) 1.547 * * [simplify]: iters left: 2 (17 enodes) 1.552 * * [simplify]: iters left: 1 (19 enodes) 1.558 * * [simplify]: Extracting #0: cost 1 inf + 0 1.558 * * [simplify]: Extracting #1: cost 4 inf + 0 1.558 * * [simplify]: Extracting #2: cost 6 inf + 1 1.558 * * [simplify]: Extracting #3: cost 0 inf + 313 1.559 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 1.559 * [simplify]: Simplified (2 2 1 1) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1.559 * * * * [progress]: [ 74 / 81 ] simplifiying candidate # 1.559 * [simplify]: Simplifying (/ 1/2 (hypot 1 x)) 1.559 * * [simplify]: iters left: 3 (5 enodes) 1.562 * * [simplify]: iters left: 2 (17 enodes) 1.568 * * [simplify]: iters left: 1 (19 enodes) 1.571 * * [simplify]: Extracting #0: cost 1 inf + 0 1.571 * * [simplify]: Extracting #1: cost 4 inf + 0 1.571 * * [simplify]: Extracting #2: cost 6 inf + 1 1.571 * * [simplify]: Extracting #3: cost 0 inf + 313 1.571 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 1.572 * [simplify]: Simplified (2 2 1 1) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1.572 * * * * [progress]: [ 75 / 81 ] simplifiying candidate # 1.572 * [simplify]: Simplifying (/ 1/2 (hypot 1 x)) 1.572 * * [simplify]: iters left: 3 (5 enodes) 1.573 * * [simplify]: iters left: 2 (17 enodes) 1.576 * * [simplify]: iters left: 1 (19 enodes) 1.579 * * [simplify]: Extracting #0: cost 1 inf + 0 1.579 * * [simplify]: Extracting #1: cost 4 inf + 0 1.579 * * [simplify]: Extracting #2: cost 6 inf + 1 1.579 * * [simplify]: Extracting #3: cost 0 inf + 313 1.579 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 1.579 * [simplify]: Simplified (2 2 1 1) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1.580 * * * * [progress]: [ 76 / 81 ] simplifiying candidate # 1.580 * [simplify]: Simplifying (hypot 1 x) 1.580 * * [simplify]: iters left: 1 (3 enodes) 1.581 * * [simplify]: Extracting #0: cost 1 inf + 0 1.581 * * [simplify]: Extracting #1: cost 4 inf + 0 1.581 * * [simplify]: Extracting #2: cost 2 inf + 2 1.581 * * [simplify]: Extracting #3: cost 0 inf + 116 1.581 * [simplify]: Simplified to (hypot 1 x) 1.581 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1.581 * * * * [progress]: [ 77 / 81 ] simplifiying candidate # 1.581 * [simplify]: Simplifying (hypot 1 x) 1.581 * * [simplify]: iters left: 1 (3 enodes) 1.582 * * [simplify]: Extracting #0: cost 1 inf + 0 1.582 * * [simplify]: Extracting #1: cost 4 inf + 0 1.582 * * [simplify]: Extracting #2: cost 2 inf + 2 1.582 * * [simplify]: Extracting #3: cost 0 inf + 116 1.582 * [simplify]: Simplified to (hypot 1 x) 1.582 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1.582 * * * * [progress]: [ 78 / 81 ] simplifiying candidate # 1.582 * [simplify]: Simplifying (hypot 1 x) 1.582 * * [simplify]: iters left: 1 (3 enodes) 1.583 * * [simplify]: Extracting #0: cost 1 inf + 0 1.583 * * [simplify]: Extracting #1: cost 4 inf + 0 1.583 * * [simplify]: Extracting #2: cost 2 inf + 2 1.583 * * [simplify]: Extracting #3: cost 0 inf + 116 1.583 * [simplify]: Simplified to (hypot 1 x) 1.583 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1.584 * * * * [progress]: [ 79 / 81 ] simplifiying candidate # 1.584 * [simplify]: Simplifying (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 1.584 * * [simplify]: iters left: 6 (7 enodes) 1.586 * * [simplify]: iters left: 5 (27 enodes) 1.590 * * [simplify]: iters left: 4 (33 enodes) 1.596 * * [simplify]: iters left: 3 (37 enodes) 1.608 * * [simplify]: Extracting #0: cost 1 inf + 0 1.608 * * [simplify]: Extracting #1: cost 5 inf + 0 1.608 * * [simplify]: Extracting #2: cost 9 inf + 1 1.608 * * [simplify]: Extracting #3: cost 11 inf + 2 1.608 * * [simplify]: Extracting #4: cost 7 inf + 215 1.609 * * [simplify]: Extracting #5: cost 2 inf + 822 1.609 * * [simplify]: Extracting #6: cost 0 inf + 1057 1.610 * [simplify]: Simplified to (+ (/ 1/2 (hypot 1 x)) 1/2) 1.610 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1.610 * * * * [progress]: [ 80 / 81 ] simplifiying candidate # 1.611 * [simplify]: Simplifying (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 1.611 * * [simplify]: iters left: 6 (7 enodes) 1.615 * * [simplify]: iters left: 5 (27 enodes) 1.624 * * [simplify]: iters left: 4 (33 enodes) 1.632 * * [simplify]: iters left: 3 (37 enodes) 1.642 * * [simplify]: Extracting #0: cost 1 inf + 0 1.642 * * [simplify]: Extracting #1: cost 5 inf + 0 1.642 * * [simplify]: Extracting #2: cost 9 inf + 1 1.642 * * [simplify]: Extracting #3: cost 11 inf + 2 1.643 * * [simplify]: Extracting #4: cost 7 inf + 215 1.643 * * [simplify]: Extracting #5: cost 2 inf + 822 1.643 * * [simplify]: Extracting #6: cost 0 inf + 1057 1.644 * [simplify]: Simplified to (+ (/ 1/2 (hypot 1 x)) 1/2) 1.644 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1.644 * * * * [progress]: [ 81 / 81 ] simplifiying candidate # 1.644 * [simplify]: Simplifying (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 1.644 * * [simplify]: iters left: 6 (7 enodes) 1.649 * * [simplify]: iters left: 5 (27 enodes) 1.658 * * [simplify]: iters left: 4 (33 enodes) 1.667 * * [simplify]: iters left: 3 (37 enodes) 1.677 * * [simplify]: Extracting #0: cost 1 inf + 0 1.677 * * [simplify]: Extracting #1: cost 5 inf + 0 1.677 * * [simplify]: Extracting #2: cost 9 inf + 1 1.677 * * [simplify]: Extracting #3: cost 11 inf + 2 1.677 * * [simplify]: Extracting #4: cost 7 inf + 215 1.677 * * [simplify]: Extracting #5: cost 2 inf + 822 1.678 * * [simplify]: Extracting #6: cost 0 inf + 1057 1.678 * [simplify]: Simplified to (+ (/ 1/2 (hypot 1 x)) 1/2) 1.678 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1.679 * * * [progress]: adding candidates to table 2.457 * * [progress]: iteration 2 / 4 2.457 * * * [progress]: picking best candidate 2.473 * * * * [pick]: Picked # 2.473 * * * [progress]: localizing error 2.506 * * * [progress]: generating rewritten candidates 2.506 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 2.577 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.598 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.720 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 2.731 * * * [progress]: generating series expansions 2.731 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 2.732 * [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) 2.732 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in (x) around 0 2.732 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 2.732 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 2.732 * [taylor]: Taking taylor expansion of 1/2 in x 2.732 * [backup-simplify]: Simplify 1/2 into 1/2 2.732 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 2.732 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 2.732 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 2.732 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 2.732 * [taylor]: Taking taylor expansion of 1/2 in x 2.732 * [backup-simplify]: Simplify 1/2 into 1/2 2.732 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 2.732 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 2.732 * [taylor]: Taking taylor expansion of 1/2 in x 2.732 * [backup-simplify]: Simplify 1/2 into 1/2 2.732 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 2.732 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 2.732 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 2.732 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 2.732 * [taylor]: Taking taylor expansion of 1/2 in x 2.732 * [backup-simplify]: Simplify 1/2 into 1/2 2.733 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 2.733 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 2.733 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 2.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 2.734 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 2.734 * [backup-simplify]: Simplify (+ 0 0) into 0 2.734 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 2.735 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 2.736 * [backup-simplify]: Simplify (+ 0 0) into 0 2.736 * [backup-simplify]: Simplify 0 into 0 2.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 2.737 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 2.738 * [backup-simplify]: Simplify (+ 0 0) into 0 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 2.740 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 2.740 * [backup-simplify]: Simplify (+ 0 0) into 0 2.740 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 2.742 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 2.743 * [backup-simplify]: Simplify (+ 0 0) into 0 2.743 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 2.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 2.746 * [backup-simplify]: Simplify (+ 0 0) into 0 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 2.746 * [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) 2.746 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in (x) around 0 2.746 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 2.746 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 2.746 * [taylor]: Taking taylor expansion of 1/2 in x 2.746 * [backup-simplify]: Simplify 1/2 into 1/2 2.746 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 2.746 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 2.746 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 2.746 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 2.747 * [taylor]: Taking taylor expansion of 1/2 in x 2.747 * [backup-simplify]: Simplify 1/2 into 1/2 2.747 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 2.747 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 2.747 * [taylor]: Taking taylor expansion of 1/2 in x 2.747 * [backup-simplify]: Simplify 1/2 into 1/2 2.747 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 2.747 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 2.747 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 2.747 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 2.747 * [taylor]: Taking taylor expansion of 1/2 in x 2.747 * [backup-simplify]: Simplify 1/2 into 1/2 2.747 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 2.747 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 2.747 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 2.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.748 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 2.748 * [backup-simplify]: Simplify (+ 0 0) into 0 2.748 * [backup-simplify]: Simplify 0 into 0 2.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.749 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))) into 0 2.749 * [backup-simplify]: Simplify (+ 0 0) into 0 2.749 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.750 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))) into 0 2.750 * [backup-simplify]: Simplify (+ 0 0) into 0 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.751 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))) into 0 2.752 * [backup-simplify]: Simplify (+ 0 0) into 0 2.752 * [backup-simplify]: Simplify 0 into 0 2.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.753 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))))) into 0 2.753 * [backup-simplify]: Simplify (+ 0 0) into 0 2.753 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.755 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))))) into 0 2.755 * [backup-simplify]: Simplify (+ 0 0) into 0 2.755 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 (/ 1 (/ 1 x))))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 2.756 * [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) 2.756 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in (x) around 0 2.756 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 2.756 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 2.756 * [taylor]: Taking taylor expansion of 1/2 in x 2.756 * [backup-simplify]: Simplify 1/2 into 1/2 2.756 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 2.756 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 2.756 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 2.756 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 2.756 * [taylor]: Taking taylor expansion of 1/2 in x 2.756 * [backup-simplify]: Simplify 1/2 into 1/2 2.756 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 2.756 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 2.756 * [taylor]: Taking taylor expansion of 1/2 in x 2.756 * [backup-simplify]: Simplify 1/2 into 1/2 2.756 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 2.756 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 2.756 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 2.756 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 2.756 * [taylor]: Taking taylor expansion of 1/2 in x 2.756 * [backup-simplify]: Simplify 1/2 into 1/2 2.757 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 2.757 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 2.757 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 2.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.757 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 2.758 * [backup-simplify]: Simplify (+ 0 0) into 0 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.758 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))) into 0 2.759 * [backup-simplify]: Simplify (+ 0 0) into 0 2.759 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))) into 0 2.760 * [backup-simplify]: Simplify (+ 0 0) into 0 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.761 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))) into 0 2.762 * [backup-simplify]: Simplify (+ 0 0) into 0 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.763 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))))) into 0 2.763 * [backup-simplify]: Simplify (+ 0 0) into 0 2.763 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.765 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))))) into 0 2.765 * [backup-simplify]: Simplify (+ 0 0) into 0 2.765 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 (/ -1 (/ 1 (- x)))))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 2.765 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.766 * [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)))) 2.766 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 2.766 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 2.766 * [taylor]: Taking taylor expansion of 1/2 in x 2.766 * [backup-simplify]: Simplify 1/2 into 1/2 2.766 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 2.766 * [taylor]: Taking taylor expansion of 1/2 in x 2.766 * [backup-simplify]: Simplify 1/2 into 1/2 2.766 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 2.766 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 2.766 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 2.766 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 2.766 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 2.766 * [taylor]: Taking taylor expansion of 1/2 in x 2.766 * [backup-simplify]: Simplify 1/2 into 1/2 2.766 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 2.766 * [taylor]: Taking taylor expansion of 1/2 in x 2.766 * [backup-simplify]: Simplify 1/2 into 1/2 2.766 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 2.766 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 2.766 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 2.766 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 2.766 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 2.766 * [backup-simplify]: Simplify (- (/ 1/2 (hypot 1 x))) into (- (* 1/2 (/ 1 (hypot 1 x)))) 2.767 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 (hypot 1 x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 2.767 * [backup-simplify]: Simplify (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 2.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 2.767 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 2.767 * [backup-simplify]: Simplify (- 0) into 0 2.768 * [backup-simplify]: Simplify (+ 0 0) into 0 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 2.768 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 2.769 * [backup-simplify]: Simplify (- 0) into 0 2.769 * [backup-simplify]: Simplify (+ 0 0) into 0 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 2.770 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 2.770 * [backup-simplify]: Simplify (- 0) into 0 2.770 * [backup-simplify]: Simplify (+ 0 0) into 0 2.770 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 2.771 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 2.772 * [backup-simplify]: Simplify (- 0) into 0 2.772 * [backup-simplify]: Simplify (+ 0 0) into 0 2.772 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 2.773 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 2.774 * [backup-simplify]: Simplify (- 0) into 0 2.774 * [backup-simplify]: Simplify (+ 0 0) into 0 2.774 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 2.775 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 2.776 * [backup-simplify]: Simplify (- 0) into 0 2.776 * [backup-simplify]: Simplify (+ 0 0) into 0 2.776 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 2.777 * [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))))) 2.777 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 2.777 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 2.777 * [taylor]: Taking taylor expansion of 1/2 in x 2.777 * [backup-simplify]: Simplify 1/2 into 1/2 2.777 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 2.777 * [taylor]: Taking taylor expansion of 1/2 in x 2.777 * [backup-simplify]: Simplify 1/2 into 1/2 2.777 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 2.777 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 2.777 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 2.778 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 2.778 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 2.778 * [taylor]: Taking taylor expansion of 1/2 in x 2.778 * [backup-simplify]: Simplify 1/2 into 1/2 2.778 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 2.778 * [taylor]: Taking taylor expansion of 1/2 in x 2.778 * [backup-simplify]: Simplify 1/2 into 1/2 2.778 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 2.778 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 2.778 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 2.778 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 2.778 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 2.778 * [backup-simplify]: Simplify (- (/ 1/2 (hypot 1 (/ 1 x)))) into (- (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2.778 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2.778 * [backup-simplify]: Simplify (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 2.780 * [backup-simplify]: Simplify (- 0) into 0 2.780 * [backup-simplify]: Simplify (+ 0 0) into 0 2.780 * [backup-simplify]: Simplify 0 into 0 2.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.781 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))) into 0 2.781 * [backup-simplify]: Simplify (- 0) into 0 2.782 * [backup-simplify]: Simplify (+ 0 0) into 0 2.782 * [backup-simplify]: Simplify 0 into 0 2.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))) into 0 2.784 * [backup-simplify]: Simplify (- 0) into 0 2.784 * [backup-simplify]: Simplify (+ 0 0) into 0 2.784 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))) into 0 2.787 * [backup-simplify]: Simplify (- 0) into 0 2.787 * [backup-simplify]: Simplify (+ 0 0) into 0 2.787 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))))) into 0 2.790 * [backup-simplify]: Simplify (- 0) into 0 2.790 * [backup-simplify]: Simplify (+ 0 0) into 0 2.790 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.793 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))))) into 0 2.794 * [backup-simplify]: Simplify (- 0) into 0 2.794 * [backup-simplify]: Simplify (+ 0 0) into 0 2.794 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 (/ 1 x)))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 2.795 * [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))))) 2.795 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 2.795 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 2.795 * [taylor]: Taking taylor expansion of 1/2 in x 2.795 * [backup-simplify]: Simplify 1/2 into 1/2 2.795 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 2.795 * [taylor]: Taking taylor expansion of 1/2 in x 2.795 * [backup-simplify]: Simplify 1/2 into 1/2 2.795 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 2.795 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 2.795 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 2.796 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 2.796 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 2.796 * [taylor]: Taking taylor expansion of 1/2 in x 2.796 * [backup-simplify]: Simplify 1/2 into 1/2 2.796 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 2.796 * [taylor]: Taking taylor expansion of 1/2 in x 2.796 * [backup-simplify]: Simplify 1/2 into 1/2 2.796 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 2.796 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 2.796 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 2.796 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 2.796 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 2.796 * [backup-simplify]: Simplify (- (/ 1/2 (hypot 1 (/ -1 x)))) into (- (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2.797 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2.797 * [backup-simplify]: Simplify (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.797 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 2.798 * [backup-simplify]: Simplify (- 0) into 0 2.798 * [backup-simplify]: Simplify (+ 0 0) into 0 2.798 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.799 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))) into 0 2.800 * [backup-simplify]: Simplify (- 0) into 0 2.800 * [backup-simplify]: Simplify (+ 0 0) into 0 2.800 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))) into 0 2.802 * [backup-simplify]: Simplify (- 0) into 0 2.803 * [backup-simplify]: Simplify (+ 0 0) into 0 2.803 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.805 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))) into 0 2.805 * [backup-simplify]: Simplify (- 0) into 0 2.805 * [backup-simplify]: Simplify (+ 0 0) into 0 2.805 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))))) into 0 2.808 * [backup-simplify]: Simplify (- 0) into 0 2.809 * [backup-simplify]: Simplify (+ 0 0) into 0 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))))) into 0 2.816 * [backup-simplify]: Simplify (- 0) into 0 2.816 * [backup-simplify]: Simplify (+ 0 0) into 0 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 (/ 1 (- x))))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 2.816 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.817 * [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)) 2.817 * [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 2.817 * [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 2.817 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 2.817 * [taylor]: Taking taylor expansion of 1/2 in x 2.817 * [backup-simplify]: Simplify 1/2 into 1/2 2.818 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 2.818 * [taylor]: Taking taylor expansion of 1/2 in x 2.818 * [backup-simplify]: Simplify 1/2 into 1/2 2.818 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 2.818 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 2.818 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 2.818 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 2.818 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 2.818 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 2.818 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 2.818 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 2.818 * [taylor]: Taking taylor expansion of 1/2 in x 2.818 * [backup-simplify]: Simplify 1/2 into 1/2 2.818 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 2.818 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 2.818 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 2.818 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 2.818 * [taylor]: Taking taylor expansion of 1/2 in x 2.818 * [backup-simplify]: Simplify 1/2 into 1/2 2.818 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 2.818 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 2.818 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 2.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 2.819 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 2.820 * [backup-simplify]: Simplify (+ 0 0) into 0 2.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 2.820 * [taylor]: Taking taylor expansion of 1 in x 2.820 * [backup-simplify]: Simplify 1 into 1 2.820 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 2.820 * [backup-simplify]: Simplify (- (/ 1/2 (hypot 1 x))) into (- (* 1/2 (/ 1 (hypot 1 x)))) 2.820 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 (hypot 1 x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 2.820 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 2.821 * [backup-simplify]: Simplify (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) into (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 2.821 * [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 2.821 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 2.821 * [taylor]: Taking taylor expansion of 1/2 in x 2.821 * [backup-simplify]: Simplify 1/2 into 1/2 2.821 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 2.821 * [taylor]: Taking taylor expansion of 1/2 in x 2.821 * [backup-simplify]: Simplify 1/2 into 1/2 2.821 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 2.821 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 2.821 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 2.821 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 2.821 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 2.821 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 2.821 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 2.821 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 2.821 * [taylor]: Taking taylor expansion of 1/2 in x 2.821 * [backup-simplify]: Simplify 1/2 into 1/2 2.821 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 2.821 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 2.821 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 2.821 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 2.821 * [taylor]: Taking taylor expansion of 1/2 in x 2.821 * [backup-simplify]: Simplify 1/2 into 1/2 2.822 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 2.822 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 2.822 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 2.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 2.823 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 2.823 * [backup-simplify]: Simplify (+ 0 0) into 0 2.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 2.823 * [taylor]: Taking taylor expansion of 1 in x 2.823 * [backup-simplify]: Simplify 1 into 1 2.823 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 2.823 * [backup-simplify]: Simplify (- (/ 1/2 (hypot 1 x))) into (- (* 1/2 (/ 1 (hypot 1 x)))) 2.823 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 (hypot 1 x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 2.824 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 2.824 * [backup-simplify]: Simplify (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) into (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 2.824 * [backup-simplify]: Simplify (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) into (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 2.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 2.825 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 2.825 * [backup-simplify]: Simplify (- 0) into 0 2.826 * [backup-simplify]: Simplify (+ 0 0) into 0 2.826 * [backup-simplify]: Simplify (+ 0 0) into 0 2.827 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 2.828 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 2.828 * [backup-simplify]: Simplify (- 0) into 0 2.829 * [backup-simplify]: Simplify (+ 0 0) into 0 2.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 2.830 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 2.831 * [backup-simplify]: Simplify (+ 0 0) into 0 2.832 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 2.832 * [backup-simplify]: Simplify (+ 0 0) into 0 2.833 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 2.833 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 2.834 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 2.835 * [backup-simplify]: Simplify (- 0) into 0 2.835 * [backup-simplify]: Simplify (+ 0 0) into 0 2.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 2.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 2.836 * [backup-simplify]: Simplify (+ 0 0) into 0 2.837 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 2.837 * [backup-simplify]: Simplify (+ 0 0) into 0 2.838 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 2.838 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 2.839 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 2.839 * [backup-simplify]: Simplify (- 0) into 0 2.839 * [backup-simplify]: Simplify (+ 0 0) into 0 2.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 2.840 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 2.841 * [backup-simplify]: Simplify (+ 0 0) into 0 2.841 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 2.842 * [backup-simplify]: Simplify (+ 0 0) into 0 2.842 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 2.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 2.844 * [backup-simplify]: Simplify (- 0) into 0 2.844 * [backup-simplify]: Simplify (+ 0 0) into 0 2.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 2.845 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 2.846 * [backup-simplify]: Simplify (+ 0 0) into 0 2.846 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 2.846 * [backup-simplify]: Simplify (+ 0 0) into 0 2.847 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 2.847 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 2.849 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 2.849 * [backup-simplify]: Simplify (- 0) into 0 2.849 * [backup-simplify]: Simplify (+ 0 0) into 0 2.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 2.851 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 2.851 * [backup-simplify]: Simplify (+ 0 0) into 0 2.852 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 2.852 * [backup-simplify]: Simplify (+ 0 0) into 0 2.853 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 2.853 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) into (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 2.853 * [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)) 2.853 * [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 2.853 * [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 2.853 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 2.853 * [taylor]: Taking taylor expansion of 1/2 in x 2.853 * [backup-simplify]: Simplify 1/2 into 1/2 2.853 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 2.853 * [taylor]: Taking taylor expansion of 1/2 in x 2.853 * [backup-simplify]: Simplify 1/2 into 1/2 2.853 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 2.854 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 2.854 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 2.854 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 2.854 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 2.854 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 2.854 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 2.854 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 2.854 * [taylor]: Taking taylor expansion of 1/2 in x 2.854 * [backup-simplify]: Simplify 1/2 into 1/2 2.854 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 2.854 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 2.854 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 2.854 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 2.854 * [taylor]: Taking taylor expansion of 1/2 in x 2.854 * [backup-simplify]: Simplify 1/2 into 1/2 2.854 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 2.854 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 2.854 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 2.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.855 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 2.855 * [backup-simplify]: Simplify (+ 0 0) into 0 2.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 2.855 * [taylor]: Taking taylor expansion of 1 in x 2.855 * [backup-simplify]: Simplify 1 into 1 2.855 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 2.855 * [backup-simplify]: Simplify (- (/ 1/2 (hypot 1 (/ 1 x)))) into (- (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2.855 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2.855 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 2.856 * [backup-simplify]: Simplify (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) into (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) 2.856 * [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 2.856 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 2.856 * [taylor]: Taking taylor expansion of 1/2 in x 2.856 * [backup-simplify]: Simplify 1/2 into 1/2 2.856 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 2.856 * [taylor]: Taking taylor expansion of 1/2 in x 2.856 * [backup-simplify]: Simplify 1/2 into 1/2 2.856 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 2.856 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 2.856 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 2.856 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 2.856 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 2.856 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 2.856 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 2.856 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 2.856 * [taylor]: Taking taylor expansion of 1/2 in x 2.856 * [backup-simplify]: Simplify 1/2 into 1/2 2.856 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 2.856 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 2.856 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 2.856 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 2.857 * [taylor]: Taking taylor expansion of 1/2 in x 2.857 * [backup-simplify]: Simplify 1/2 into 1/2 2.857 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 2.857 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 2.857 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 2.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 2.858 * [backup-simplify]: Simplify (+ 0 0) into 0 2.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 2.858 * [taylor]: Taking taylor expansion of 1 in x 2.858 * [backup-simplify]: Simplify 1 into 1 2.858 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 2.858 * [backup-simplify]: Simplify (- (/ 1/2 (hypot 1 (/ 1 x)))) into (- (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2.859 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2.859 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 2.859 * [backup-simplify]: Simplify (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) into (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) 2.859 * [backup-simplify]: Simplify (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) into (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) 2.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.860 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 2.861 * [backup-simplify]: Simplify (- 0) into 0 2.861 * [backup-simplify]: Simplify (+ 0 0) into 0 2.861 * [backup-simplify]: Simplify (+ 0 0) into 0 2.862 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 2.862 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.863 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))) into 0 2.863 * [backup-simplify]: Simplify (- 0) into 0 2.864 * [backup-simplify]: Simplify (+ 0 0) into 0 2.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.865 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))) into 0 2.865 * [backup-simplify]: Simplify (+ 0 0) into 0 2.866 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 2.866 * [backup-simplify]: Simplify (+ 0 0) into 0 2.868 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 2.868 * [backup-simplify]: Simplify 0 into 0 2.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.869 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))) into 0 2.870 * [backup-simplify]: Simplify (- 0) into 0 2.870 * [backup-simplify]: Simplify (+ 0 0) into 0 2.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.871 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))) into 0 2.872 * [backup-simplify]: Simplify (+ 0 0) into 0 2.872 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 2.872 * [backup-simplify]: Simplify (+ 0 0) into 0 2.873 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 2.873 * [backup-simplify]: Simplify 0 into 0 2.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.874 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))) into 0 2.874 * [backup-simplify]: Simplify (- 0) into 0 2.875 * [backup-simplify]: Simplify (+ 0 0) into 0 2.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.876 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))) into 0 2.876 * [backup-simplify]: Simplify (+ 0 0) into 0 2.877 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 2.877 * [backup-simplify]: Simplify (+ 0 0) into 0 2.878 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 2.878 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.879 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))))) into 0 2.879 * [backup-simplify]: Simplify (- 0) into 0 2.880 * [backup-simplify]: Simplify (+ 0 0) into 0 2.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.881 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))))) into 0 2.882 * [backup-simplify]: Simplify (+ 0 0) into 0 2.882 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 2.882 * [backup-simplify]: Simplify (+ 0 0) into 0 2.883 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.885 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))))) into 0 2.885 * [backup-simplify]: Simplify (- 0) into 0 2.885 * [backup-simplify]: Simplify (+ 0 0) into 0 2.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.887 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))))) into 0 2.887 * [backup-simplify]: Simplify (+ 0 0) into 0 2.888 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 2.888 * [backup-simplify]: Simplify (+ 0 0) into 0 2.889 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 2.889 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 (/ 1 x)))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 (/ 1 x))))) 1/2)) 1)) into (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 2.890 * [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)) 2.890 * [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 2.890 * [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 2.890 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 2.890 * [taylor]: Taking taylor expansion of 1/2 in x 2.890 * [backup-simplify]: Simplify 1/2 into 1/2 2.890 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 2.890 * [taylor]: Taking taylor expansion of 1/2 in x 2.890 * [backup-simplify]: Simplify 1/2 into 1/2 2.890 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 2.890 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 2.890 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 2.890 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 2.890 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 2.890 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 2.890 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 2.890 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 2.890 * [taylor]: Taking taylor expansion of 1/2 in x 2.890 * [backup-simplify]: Simplify 1/2 into 1/2 2.890 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 2.890 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 2.890 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 2.890 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 2.890 * [taylor]: Taking taylor expansion of 1/2 in x 2.890 * [backup-simplify]: Simplify 1/2 into 1/2 2.890 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 2.890 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 2.890 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 2.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 2.891 * [backup-simplify]: Simplify (+ 0 0) into 0 2.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 2.891 * [taylor]: Taking taylor expansion of 1 in x 2.891 * [backup-simplify]: Simplify 1 into 1 2.891 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 2.891 * [backup-simplify]: Simplify (- (/ 1/2 (hypot 1 (/ -1 x)))) into (- (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2.891 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2.892 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 2.892 * [backup-simplify]: Simplify (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) into (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) 2.892 * [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 2.892 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 2.892 * [taylor]: Taking taylor expansion of 1/2 in x 2.892 * [backup-simplify]: Simplify 1/2 into 1/2 2.892 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 2.892 * [taylor]: Taking taylor expansion of 1/2 in x 2.892 * [backup-simplify]: Simplify 1/2 into 1/2 2.892 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 2.892 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 2.892 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 2.892 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 2.892 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 2.892 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 2.892 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 2.892 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 2.892 * [taylor]: Taking taylor expansion of 1/2 in x 2.892 * [backup-simplify]: Simplify 1/2 into 1/2 2.892 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 2.892 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 2.892 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 2.892 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 2.892 * [taylor]: Taking taylor expansion of 1/2 in x 2.892 * [backup-simplify]: Simplify 1/2 into 1/2 2.892 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 2.892 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 2.892 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 2.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.893 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 2.893 * [backup-simplify]: Simplify (+ 0 0) into 0 2.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 2.893 * [taylor]: Taking taylor expansion of 1 in x 2.893 * [backup-simplify]: Simplify 1 into 1 2.893 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 2.893 * [backup-simplify]: Simplify (- (/ 1/2 (hypot 1 (/ -1 x)))) into (- (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2.894 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2.894 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 2.894 * [backup-simplify]: Simplify (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) into (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) 2.894 * [backup-simplify]: Simplify (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) into (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) 2.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.895 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 2.895 * [backup-simplify]: Simplify (- 0) into 0 2.895 * [backup-simplify]: Simplify (+ 0 0) into 0 2.895 * [backup-simplify]: Simplify (+ 0 0) into 0 2.896 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.896 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))) into 0 2.897 * [backup-simplify]: Simplify (- 0) into 0 2.897 * [backup-simplify]: Simplify (+ 0 0) into 0 2.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.898 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))) into 0 2.898 * [backup-simplify]: Simplify (+ 0 0) into 0 2.898 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 2.898 * [backup-simplify]: Simplify (+ 0 0) into 0 2.899 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 2.899 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.900 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))) into 0 2.901 * [backup-simplify]: Simplify (- 0) into 0 2.901 * [backup-simplify]: Simplify (+ 0 0) into 0 2.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.903 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))) into 0 2.903 * [backup-simplify]: Simplify (+ 0 0) into 0 2.904 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 2.905 * [backup-simplify]: Simplify (+ 0 0) into 0 2.906 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.908 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))) into 0 2.908 * [backup-simplify]: Simplify (- 0) into 0 2.908 * [backup-simplify]: Simplify (+ 0 0) into 0 2.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.910 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))) into 0 2.911 * [backup-simplify]: Simplify (+ 0 0) into 0 2.912 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 2.912 * [backup-simplify]: Simplify (+ 0 0) into 0 2.913 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 2.913 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.919 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))))) into 0 2.919 * [backup-simplify]: Simplify (- 0) into 0 2.920 * [backup-simplify]: Simplify (+ 0 0) into 0 2.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.922 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))))) into 0 2.922 * [backup-simplify]: Simplify (+ 0 0) into 0 2.923 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 2.924 * [backup-simplify]: Simplify (+ 0 0) into 0 2.925 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 2.925 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.928 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))))) into 0 2.928 * [backup-simplify]: Simplify (- 0) into 0 2.929 * [backup-simplify]: Simplify (+ 0 0) into 0 2.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.932 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))))) into 0 2.932 * [backup-simplify]: Simplify (+ 0 0) into 0 2.933 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 2.934 * [backup-simplify]: Simplify (+ 0 0) into 0 2.935 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 2.935 * [backup-simplify]: Simplify 0 into 0 2.936 * [backup-simplify]: Simplify (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 (/ 1 (- x))))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 (/ 1 (- x)))))) 1/2)) 1)) into (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 2.936 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 2.936 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 2.936 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 2.936 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 2.936 * [taylor]: Taking taylor expansion of 1/2 in x 2.936 * [backup-simplify]: Simplify 1/2 into 1/2 2.936 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 2.936 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 2.936 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 2.936 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 2.936 * [taylor]: Taking taylor expansion of 1/2 in x 2.936 * [backup-simplify]: Simplify 1/2 into 1/2 2.936 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 2.936 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 2.936 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 2.936 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 2.937 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 x)) (+ (* (/ 1/2 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 2.937 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 x)) (+ (* (/ 1/2 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 2.937 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 x)) (+ (* (/ 1/2 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 2.937 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 x)) (+ (* (/ 1/2 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 x)) (+ (* (/ 1/2 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 2.938 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 x)) (+ (* (/ 1/2 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 2.939 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 2.939 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 2.939 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 2.939 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 2.939 * [taylor]: Taking taylor expansion of 1/2 in x 2.939 * [backup-simplify]: Simplify 1/2 into 1/2 2.939 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 2.939 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 2.939 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 2.939 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 2.939 * [taylor]: Taking taylor expansion of 1/2 in x 2.939 * [backup-simplify]: Simplify 1/2 into 1/2 2.939 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 2.939 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 2.939 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 2.939 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 2.940 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 (/ 1 x))) (+ (* (/ 1/2 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.940 * [backup-simplify]: Simplify 0 into 0 2.940 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 (/ 1 x))) (+ (* (/ 1/2 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.940 * [backup-simplify]: Simplify 0 into 0 2.940 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 (/ 1 x))) (+ (* (/ 1/2 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.940 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 (/ 1 x))) (+ (* (/ 1/2 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.941 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 (/ 1 x))) (+ (* (/ 1/2 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.942 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 (/ 1 x))) (+ (* (/ 1/2 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 2.942 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (/ 1 x)))) into (/ 1/2 (hypot 1 x)) 2.942 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 2.942 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 2.942 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 2.942 * [taylor]: Taking taylor expansion of 1/2 in x 2.942 * [backup-simplify]: Simplify 1/2 into 1/2 2.942 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 2.943 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 2.943 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ -1 x))) into (/ 1/2 (hypot 1 (/ -1 x))) 2.943 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 2.943 * [taylor]: Taking taylor expansion of 1/2 in x 2.943 * [backup-simplify]: Simplify 1/2 into 1/2 2.943 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 2.943 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 2.943 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ -1 x))) into (/ 1/2 (hypot 1 (/ -1 x))) 2.943 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ -1 x))) into (/ 1/2 (hypot 1 (/ -1 x))) 2.943 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 (/ -1 x))) (+ (* (/ 1/2 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.943 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 (/ -1 x))) (+ (* (/ 1/2 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 (/ -1 x))) (+ (* (/ 1/2 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.944 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 (/ -1 x))) (+ (* (/ 1/2 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 (/ -1 x))) (+ (* (/ 1/2 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.945 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify (- (/ 0 (hypot 1 (/ -1 x))) (+ (* (/ 1/2 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 2.946 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ -1 (/ 1 (- x))))) into (/ 1/2 (hypot 1 x)) 2.946 * * * [progress]: simplifying candidates 2.946 * * * * [progress]: [ 1 / 169 ] simplifiying candidate # 2.946 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 2.947 * * [simplify]: iters left: 5 (6 enodes) 2.951 * * [simplify]: iters left: 4 (21 enodes) 2.958 * * [simplify]: iters left: 3 (23 enodes) 2.964 * * [simplify]: Extracting #0: cost 1 inf + 0 2.965 * * [simplify]: Extracting #1: cost 4 inf + 0 2.965 * * [simplify]: Extracting #2: cost 5 inf + 1 2.965 * * [simplify]: Extracting #3: cost 8 inf + 1 2.965 * * [simplify]: Extracting #4: cost 6 inf + 3 2.965 * * [simplify]: Extracting #5: cost 0 inf + 589 2.965 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 2.965 * [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))))) 2.966 * [simplify]: Simplifying (+ 1/2 1/2) 2.966 * * [simplify]: iters left: 2 (2 enodes) 2.968 * * [simplify]: iters left: 1 (7 enodes) 2.970 * * [simplify]: Extracting #0: cost 1 inf + 0 2.970 * * [simplify]: Extracting #1: cost 0 inf + 1 2.970 * [simplify]: Simplified to 1 2.970 * [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))))) 2.970 * * * * [progress]: [ 2 / 169 ] simplifiying candidate # 2.971 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 2.971 * * [simplify]: iters left: 5 (6 enodes) 2.974 * * [simplify]: iters left: 4 (21 enodes) 2.979 * * [simplify]: iters left: 3 (23 enodes) 2.982 * * [simplify]: Extracting #0: cost 1 inf + 0 2.982 * * [simplify]: Extracting #1: cost 4 inf + 0 2.983 * * [simplify]: Extracting #2: cost 5 inf + 1 2.983 * * [simplify]: Extracting #3: cost 8 inf + 1 2.983 * * [simplify]: Extracting #4: cost 6 inf + 3 2.983 * * [simplify]: Extracting #5: cost 0 inf + 589 2.983 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 2.983 * [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))))) 2.983 * [simplify]: Simplifying (+ 1/2 (/ 1 2)) 2.983 * * [simplify]: iters left: 4 (5 enodes) 2.986 * * [simplify]: iters left: 3 (18 enodes) 2.990 * * [simplify]: iters left: 2 (20 enodes) 2.993 * * [simplify]: Extracting #0: cost 1 inf + 0 2.993 * * [simplify]: Extracting #1: cost 0 inf + 1 2.993 * [simplify]: Simplified to 1 2.993 * [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))))) 2.994 * * * * [progress]: [ 3 / 169 ] simplifiying candidate # 2.994 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 2.994 * * [simplify]: iters left: 6 (7 enodes) 2.996 * * [simplify]: iters left: 5 (24 enodes) 3.000 * * [simplify]: iters left: 4 (26 enodes) 3.005 * * [simplify]: Extracting #0: cost 1 inf + 0 3.005 * * [simplify]: Extracting #1: cost 3 inf + 0 3.005 * * [simplify]: Extracting #2: cost 6 inf + 0 3.005 * * [simplify]: Extracting #3: cost 7 inf + 1 3.005 * * [simplify]: Extracting #4: cost 10 inf + 1 3.005 * * [simplify]: Extracting #5: cost 6 inf + 117 3.005 * * [simplify]: Extracting #6: cost 2 inf + 629 3.006 * * [simplify]: Extracting #7: cost 0 inf + 945 3.006 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 3.006 * [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))))) 3.007 * [simplify]: Simplifying (+ 1 1) 3.007 * * [simplify]: iters left: 2 (2 enodes) 3.009 * * [simplify]: iters left: 1 (9 enodes) 3.012 * * [simplify]: Extracting #0: cost 1 inf + 0 3.012 * * [simplify]: Extracting #1: cost 0 inf + 1 3.012 * [simplify]: Simplified to 2 3.012 * [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))))) 3.012 * * * * [progress]: [ 4 / 169 ] simplifiying candidate # 3.012 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 3.012 * * [simplify]: iters left: 5 (6 enodes) 3.014 * * [simplify]: iters left: 4 (21 enodes) 3.018 * * [simplify]: iters left: 3 (23 enodes) 3.022 * * [simplify]: Extracting #0: cost 1 inf + 0 3.022 * * [simplify]: Extracting #1: cost 4 inf + 0 3.022 * * [simplify]: Extracting #2: cost 5 inf + 1 3.022 * * [simplify]: Extracting #3: cost 8 inf + 1 3.022 * * [simplify]: Extracting #4: cost 6 inf + 3 3.022 * * [simplify]: Extracting #5: cost 0 inf + 589 3.022 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 3.022 * [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))))) 3.022 * [simplify]: Simplifying (+ (/ 1 2) 1/2) 3.022 * * [simplify]: iters left: 4 (5 enodes) 3.026 * * [simplify]: iters left: 3 (18 enodes) 3.029 * * [simplify]: iters left: 2 (20 enodes) 3.032 * * [simplify]: Extracting #0: cost 1 inf + 0 3.032 * * [simplify]: Extracting #1: cost 0 inf + 1 3.032 * [simplify]: Simplified to 1 3.032 * [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))))) 3.032 * * * * [progress]: [ 5 / 169 ] simplifiying candidate # 3.033 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 3.033 * * [simplify]: iters left: 5 (6 enodes) 3.037 * * [simplify]: iters left: 4 (21 enodes) 3.041 * * [simplify]: iters left: 3 (23 enodes) 3.048 * * [simplify]: Extracting #0: cost 1 inf + 0 3.048 * * [simplify]: Extracting #1: cost 4 inf + 0 3.048 * * [simplify]: Extracting #2: cost 5 inf + 1 3.048 * * [simplify]: Extracting #3: cost 8 inf + 1 3.048 * * [simplify]: Extracting #4: cost 6 inf + 3 3.048 * * [simplify]: Extracting #5: cost 0 inf + 589 3.049 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 3.049 * [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))))) 3.049 * [simplify]: Simplifying (+ (/ 1 2) (/ 1 2)) 3.049 * * [simplify]: iters left: 4 (4 enodes) 3.054 * * [simplify]: iters left: 3 (15 enodes) 3.059 * * [simplify]: iters left: 2 (17 enodes) 3.064 * * [simplify]: Extracting #0: cost 1 inf + 0 3.064 * * [simplify]: Extracting #1: cost 0 inf + 1 3.064 * [simplify]: Simplified to 1 3.064 * [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))))) 3.064 * * * * [progress]: [ 6 / 169 ] simplifiying candidate # 3.064 * [simplify]: Simplifying (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) 3.064 * * [simplify]: iters left: 6 (7 enodes) 3.066 * * [simplify]: iters left: 5 (30 enodes) 3.073 * * [simplify]: iters left: 4 (57 enodes) 3.083 * * [simplify]: iters left: 3 (84 enodes) 3.098 * * [simplify]: iters left: 2 (117 enodes) 3.132 * * [simplify]: iters left: 1 (161 enodes) 3.186 * * [simplify]: Extracting #0: cost 1 inf + 0 3.187 * * [simplify]: Extracting #1: cost 26 inf + 0 3.187 * * [simplify]: Extracting #2: cost 81 inf + 2 3.188 * * [simplify]: Extracting #3: cost 99 inf + 3 3.188 * * [simplify]: Extracting #4: cost 97 inf + 61 3.191 * * [simplify]: Extracting #5: cost 42 inf + 7889 3.194 * * [simplify]: Extracting #6: cost 6 inf + 14381 3.197 * * [simplify]: Extracting #7: cost 0 inf + 15650 3.200 * [simplify]: Simplified to (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 3.200 * [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))))) 3.201 * * * * [progress]: [ 7 / 169 ] simplifiying candidate # 3.201 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 3.201 * * [simplify]: iters left: 6 (8 enodes) 3.204 * * [simplify]: iters left: 5 (25 enodes) 3.208 * * [simplify]: iters left: 4 (28 enodes) 3.212 * * [simplify]: Extracting #0: cost 1 inf + 0 3.212 * * [simplify]: Extracting #1: cost 5 inf + 0 3.212 * * [simplify]: Extracting #2: cost 7 inf + 1 3.212 * * [simplify]: Extracting #3: cost 10 inf + 1 3.212 * * [simplify]: Extracting #4: cost 8 inf + 3 3.212 * * [simplify]: Extracting #5: cost 3 inf + 491 3.213 * * [simplify]: Extracting #6: cost 1 inf + 767 3.213 * * [simplify]: Extracting #7: cost 0 inf + 945 3.213 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 3.213 * [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))))) 3.213 * * * * [progress]: [ 8 / 169 ] simplifiying candidate # 3.213 * [simplify]: Simplifying (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) 3.213 * * [simplify]: iters left: 6 (7 enodes) 3.216 * * [simplify]: iters left: 5 (30 enodes) 3.222 * * [simplify]: iters left: 4 (57 enodes) 3.234 * * [simplify]: iters left: 3 (84 enodes) 3.256 * * [simplify]: iters left: 2 (117 enodes) 3.294 * * [simplify]: iters left: 1 (161 enodes) 3.324 * * [simplify]: Extracting #0: cost 1 inf + 0 3.324 * * [simplify]: Extracting #1: cost 26 inf + 0 3.325 * * [simplify]: Extracting #2: cost 81 inf + 2 3.325 * * [simplify]: Extracting #3: cost 99 inf + 3 3.325 * * [simplify]: Extracting #4: cost 97 inf + 61 3.326 * * [simplify]: Extracting #5: cost 42 inf + 7889 3.329 * * [simplify]: Extracting #6: cost 6 inf + 14381 3.333 * * [simplify]: Extracting #7: cost 0 inf + 15650 3.340 * [simplify]: Simplified to (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 3.340 * [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))))) 3.340 * [simplify]: Simplifying (/ 1 2) 3.340 * * [simplify]: iters left: 2 (3 enodes) 3.344 * * [simplify]: iters left: 1 (12 enodes) 3.348 * * [simplify]: Extracting #0: cost 1 inf + 0 3.348 * * [simplify]: Extracting #1: cost 0 inf + 1 3.348 * [simplify]: Simplified to 1/2 3.349 * [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))))) 3.349 * * * * [progress]: [ 9 / 169 ] simplifiying candidate # 3.349 * * * * [progress]: [ 10 / 169 ] simplifiying candidate # 3.349 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3.349 * * [simplify]: iters left: 6 (7 enodes) 3.353 * * [simplify]: iters left: 5 (24 enodes) 3.361 * * [simplify]: iters left: 4 (26 enodes) 3.368 * * [simplify]: Extracting #0: cost 1 inf + 0 3.368 * * [simplify]: Extracting #1: cost 3 inf + 0 3.368 * * [simplify]: Extracting #2: cost 6 inf + 0 3.368 * * [simplify]: Extracting #3: cost 7 inf + 1 3.368 * * [simplify]: Extracting #4: cost 10 inf + 1 3.368 * * [simplify]: Extracting #5: cost 6 inf + 117 3.368 * * [simplify]: Extracting #6: cost 2 inf + 629 3.368 * * [simplify]: Extracting #7: cost 0 inf + 945 3.369 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 3.369 * [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))))) 3.369 * * * * [progress]: [ 11 / 169 ] simplifiying candidate # 3.369 * * * * [progress]: [ 12 / 169 ] simplifiying candidate # 3.369 * [simplify]: Simplifying (+ (log (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (log (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3.369 * * [simplify]: iters left: 6 (9 enodes) 3.371 * * [simplify]: iters left: 5 (30 enodes) 3.376 * * [simplify]: iters left: 4 (32 enodes) 3.383 * * [simplify]: Extracting #0: cost 1 inf + 0 3.384 * * [simplify]: Extracting #1: cost 3 inf + 0 3.384 * * [simplify]: Extracting #2: cost 5 inf + 0 3.384 * * [simplify]: Extracting #3: cost 7 inf + 0 3.384 * * [simplify]: Extracting #4: cost 10 inf + 0 3.384 * * [simplify]: Extracting #5: cost 11 inf + 1 3.384 * * [simplify]: Extracting #6: cost 14 inf + 1 3.384 * * [simplify]: Extracting #7: cost 10 inf + 117 3.384 * * [simplify]: Extracting #8: cost 8 inf + 353 3.384 * * [simplify]: Extracting #9: cost 4 inf + 1015 3.384 * * [simplify]: Extracting #10: cost 0 inf + 2017 3.385 * [simplify]: Simplified to (+ (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 3.385 * [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))))) 3.385 * * * * [progress]: [ 13 / 169 ] simplifiying candidate # 3.385 * * * * [progress]: [ 14 / 169 ] simplifiying candidate # 3.385 * * * * [progress]: [ 15 / 169 ] simplifiying candidate # 3.385 * [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)))) 3.385 * * [simplify]: iters left: 6 (10 enodes) 3.388 * * [simplify]: iters left: 5 (38 enodes) 3.400 * * [simplify]: iters left: 4 (85 enodes) 3.458 * * [simplify]: iters left: 3 (312 enodes) 3.613 * * [simplify]: Extracting #0: cost 1 inf + 0 3.613 * * [simplify]: Extracting #1: cost 25 inf + 0 3.613 * * [simplify]: Extracting #2: cost 117 inf + 2 3.614 * * [simplify]: Extracting #3: cost 157 inf + 6 3.615 * * [simplify]: Extracting #4: cost 144 inf + 1480 3.617 * * [simplify]: Extracting #5: cost 92 inf + 12691 3.625 * * [simplify]: Extracting #6: cost 23 inf + 32693 3.636 * * [simplify]: Extracting #7: cost 0 inf + 39973 3.651 * [simplify]: Simplified to (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 3.651 * [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))))) 3.651 * * * * [progress]: [ 16 / 169 ] simplifiying candidate # 3.651 * * * * [progress]: [ 17 / 169 ] simplifiying candidate # 3.651 * * * * [progress]: [ 18 / 169 ] simplifiying candidate # 3.652 * [simplify]: Simplifying (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) 3.652 * * [simplify]: iters left: 6 (7 enodes) 3.655 * * [simplify]: iters left: 5 (30 enodes) 3.663 * * [simplify]: iters left: 4 (57 enodes) 3.672 * * [simplify]: iters left: 3 (84 enodes) 3.685 * * [simplify]: iters left: 2 (117 enodes) 3.709 * * [simplify]: iters left: 1 (161 enodes) 3.745 * * [simplify]: Extracting #0: cost 1 inf + 0 3.745 * * [simplify]: Extracting #1: cost 26 inf + 0 3.745 * * [simplify]: Extracting #2: cost 81 inf + 2 3.745 * * [simplify]: Extracting #3: cost 99 inf + 3 3.746 * * [simplify]: Extracting #4: cost 97 inf + 61 3.747 * * [simplify]: Extracting #5: cost 42 inf + 7889 3.750 * * [simplify]: Extracting #6: cost 6 inf + 14381 3.753 * * [simplify]: Extracting #7: cost 0 inf + 15650 3.756 * [simplify]: Simplified to (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 3.756 * [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))))) 3.756 * * * * [progress]: [ 19 / 169 ] simplifiying candidate # 3.756 * * * * [progress]: [ 20 / 169 ] simplifiying candidate # 3.757 * [simplify]: Simplifying (/ 1/2 (hypot 1 x)) 3.757 * * [simplify]: iters left: 3 (5 enodes) 3.759 * * [simplify]: iters left: 2 (17 enodes) 3.762 * * [simplify]: iters left: 1 (19 enodes) 3.766 * * [simplify]: Extracting #0: cost 1 inf + 0 3.766 * * [simplify]: Extracting #1: cost 4 inf + 0 3.766 * * [simplify]: Extracting #2: cost 6 inf + 1 3.766 * * [simplify]: Extracting #3: cost 0 inf + 313 3.767 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 3.767 * [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))))) 3.767 * * * * [progress]: [ 21 / 169 ] simplifiying candidate # 3.767 * [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)))) 3.767 * * [simplify]: iters left: 6 (11 enodes) 3.776 * * [simplify]: iters left: 5 (51 enodes) 3.797 * * [simplify]: iters left: 4 (94 enodes) 3.844 * * [simplify]: iters left: 3 (184 enodes) 3.916 * * [simplify]: iters left: 2 (310 enodes) 4.082 * * [simplify]: Extracting #0: cost 1 inf + 0 4.082 * * [simplify]: Extracting #1: cost 5 inf + 0 4.082 * * [simplify]: Extracting #2: cost 45 inf + 1 4.083 * * [simplify]: Extracting #3: cost 101 inf + 5 4.084 * * [simplify]: Extracting #4: cost 88 inf + 2085 4.088 * * [simplify]: Extracting #5: cost 19 inf + 23244 4.096 * * [simplify]: Extracting #6: cost 0 inf + 32311 4.104 * * [simplify]: Extracting #7: cost 0 inf + 32180 4.112 * [simplify]: Simplified to (+ 1/8 (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)))) 4.112 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (/ (+ 1/8 (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (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))))) 4.113 * [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))))) 4.113 * * [simplify]: iters left: 6 (12 enodes) 4.121 * * [simplify]: iters left: 5 (48 enodes) 4.137 * * [simplify]: iters left: 4 (87 enodes) 4.161 * * [simplify]: iters left: 3 (126 enodes) 4.180 * * [simplify]: iters left: 2 (169 enodes) 4.233 * * [simplify]: iters left: 1 (256 enodes) 4.316 * * [simplify]: Extracting #0: cost 1 inf + 0 4.316 * * [simplify]: Extracting #1: cost 18 inf + 0 4.316 * * [simplify]: Extracting #2: cost 58 inf + 2 4.316 * * [simplify]: Extracting #3: cost 77 inf + 4 4.317 * * [simplify]: Extracting #4: cost 75 inf + 6 4.318 * * [simplify]: Extracting #5: cost 49 inf + 3272 4.320 * * [simplify]: Extracting #6: cost 10 inf + 9818 4.323 * * [simplify]: Extracting #7: cost 1 inf + 11658 4.327 * * [simplify]: Extracting #8: cost 0 inf + 11916 4.330 * * [simplify]: Extracting #9: cost 0 inf + 11915 4.333 * [simplify]: Simplified to (- 1/4 (/ (- 1/4 (/ 1/4 (hypot 1 x))) (hypot 1 x))) 4.333 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (/ (+ 1/8 (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)))) (- 1/4 (/ (- 1/4 (/ 1/4 (hypot 1 x))) (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 4.333 * * * * [progress]: [ 22 / 169 ] simplifiying candidate # 4.334 * [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)))) 4.334 * * [simplify]: iters left: 6 (15 enodes) 4.345 * * [simplify]: iters left: 5 (74 enodes) 4.367 * * [simplify]: iters left: 4 (136 enodes) 4.407 * * [simplify]: iters left: 3 (244 enodes) 4.492 * * [simplify]: iters left: 2 (436 enodes) 4.666 * * [simplify]: Extracting #0: cost 1 inf + 0 4.666 * * [simplify]: Extracting #1: cost 4 inf + 0 4.666 * * [simplify]: Extracting #2: cost 8 inf + 0 4.667 * * [simplify]: Extracting #3: cost 29 inf + 0 4.667 * * [simplify]: Extracting #4: cost 75 inf + 3 4.668 * * [simplify]: Extracting #5: cost 126 inf + 7 4.669 * * [simplify]: Extracting #6: cost 110 inf + 2632 4.676 * * [simplify]: Extracting #7: cost 28 inf + 24570 4.685 * * [simplify]: Extracting #8: cost 0 inf + 36358 4.696 * * [simplify]: Extracting #9: cost 0 inf + 36279 4.706 * [simplify]: Simplified to (* (sqrt (+ 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (sqrt (+ -1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) 4.706 * [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 (+ -1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (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))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 4.707 * [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))) 4.707 * * [simplify]: iters left: 6 (14 enodes) 4.716 * * [simplify]: iters left: 5 (60 enodes) 4.735 * * [simplify]: iters left: 4 (98 enodes) 4.765 * * [simplify]: iters left: 3 (140 enodes) 4.805 * * [simplify]: iters left: 2 (184 enodes) 4.834 * * [simplify]: iters left: 1 (265 enodes) 4.883 * * [simplify]: Extracting #0: cost 1 inf + 0 4.883 * * [simplify]: Extracting #1: cost 4 inf + 0 4.883 * * [simplify]: Extracting #2: cost 8 inf + 0 4.883 * * [simplify]: Extracting #3: cost 27 inf + 0 4.883 * * [simplify]: Extracting #4: cost 61 inf + 3 4.883 * * [simplify]: Extracting #5: cost 80 inf + 4 4.883 * * [simplify]: Extracting #6: cost 78 inf + 6 4.884 * * [simplify]: Extracting #7: cost 51 inf + 3209 4.887 * * [simplify]: Extracting #8: cost 11 inf + 10695 4.890 * * [simplify]: Extracting #9: cost 0 inf + 12573 4.894 * [simplify]: Simplified to (* (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ 1/4 (* (/ 1/2 (hypot 1 x)) (- (/ 1/2 (hypot 1 x)) 1/2))))) 4.894 * [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 (+ -1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (* (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ 1/4 (* (/ 1/2 (hypot 1 x)) (- (/ 1/2 (hypot 1 x)) 1/2))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 4.894 * * * * [progress]: [ 23 / 169 ] simplifiying candidate # 4.894 * [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)))) 4.894 * * [simplify]: iters left: 6 (15 enodes) 4.901 * * [simplify]: iters left: 5 (73 enodes) 4.921 * * [simplify]: iters left: 4 (138 enodes) 4.981 * * [simplify]: iters left: 3 (246 enodes) 5.062 * * [simplify]: iters left: 2 (437 enodes) 5.221 * * [simplify]: Extracting #0: cost 1 inf + 0 5.222 * * [simplify]: Extracting #1: cost 4 inf + 0 5.222 * * [simplify]: Extracting #2: cost 8 inf + 0 5.222 * * [simplify]: Extracting #3: cost 27 inf + 0 5.222 * * [simplify]: Extracting #4: cost 73 inf + 3 5.223 * * [simplify]: Extracting #5: cost 124 inf + 7 5.224 * * [simplify]: Extracting #6: cost 108 inf + 2068 5.230 * * [simplify]: Extracting #7: cost 29 inf + 21658 5.239 * * [simplify]: Extracting #8: cost 1 inf + 34623 5.249 * * [simplify]: Extracting #9: cost 0 inf + 35645 5.259 * [simplify]: Simplified to (* (sqrt (+ 1/8 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (sqrt (+ -1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) 5.259 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (/ (* (sqrt (+ 1/8 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (sqrt (+ -1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (* (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))))) 5.260 * [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))))) 5.260 * * [simplify]: iters left: 6 (14 enodes) 5.264 * * [simplify]: iters left: 5 (60 enodes) 5.274 * * [simplify]: iters left: 4 (98 enodes) 5.294 * * [simplify]: iters left: 3 (141 enodes) 5.315 * * [simplify]: iters left: 2 (184 enodes) 5.349 * * [simplify]: iters left: 1 (265 enodes) 5.439 * * [simplify]: Extracting #0: cost 1 inf + 0 5.439 * * [simplify]: Extracting #1: cost 4 inf + 0 5.439 * * [simplify]: Extracting #2: cost 8 inf + 0 5.439 * * [simplify]: Extracting #3: cost 27 inf + 0 5.439 * * [simplify]: Extracting #4: cost 61 inf + 3 5.440 * * [simplify]: Extracting #5: cost 80 inf + 4 5.440 * * [simplify]: Extracting #6: cost 78 inf + 6 5.442 * * [simplify]: Extracting #7: cost 57 inf + 2702 5.445 * * [simplify]: Extracting #8: cost 7 inf + 11288 5.449 * * [simplify]: Extracting #9: cost 0 inf + 12574 5.452 * * [simplify]: Extracting #10: cost 0 inf + 12573 5.456 * [simplify]: Simplified to (* (sqrt (+ 1/4 (* (/ 1/2 (hypot 1 x)) (- (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2))) 5.456 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (/ (* (sqrt (+ 1/8 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (sqrt (+ -1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (* (sqrt (+ 1/4 (* (/ 1/2 (hypot 1 x)) (- (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 5.456 * * * * [progress]: [ 24 / 169 ] simplifiying candidate # 5.456 * [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)))) 5.456 * * [simplify]: iters left: 6 (10 enodes) 5.460 * * [simplify]: iters left: 5 (40 enodes) 5.467 * * [simplify]: iters left: 4 (63 enodes) 5.483 * * [simplify]: iters left: 3 (81 enodes) 5.507 * * [simplify]: iters left: 2 (122 enodes) 5.538 * * [simplify]: iters left: 1 (162 enodes) 5.562 * * [simplify]: Extracting #0: cost 1 inf + 0 5.563 * * [simplify]: Extracting #1: cost 20 inf + 0 5.563 * * [simplify]: Extracting #2: cost 45 inf + 2 5.563 * * [simplify]: Extracting #3: cost 54 inf + 4 5.564 * * [simplify]: Extracting #4: cost 52 inf + 6 5.565 * * [simplify]: Extracting #5: cost 34 inf + 2167 5.568 * * [simplify]: Extracting #6: cost 7 inf + 6700 5.572 * * [simplify]: Extracting #7: cost 0 inf + 8110 5.576 * [simplify]: Simplified to (- (/ 1/4 (* (hypot 1 x) (hypot 1 x))) 1/4) 5.576 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (/ (- (/ 1/4 (* (hypot 1 x) (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))))) 5.576 * [simplify]: Simplifying (* (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2))) 5.577 * * [simplify]: iters left: 6 (8 enodes) 5.581 * * [simplify]: iters left: 5 (27 enodes) 5.590 * * [simplify]: iters left: 4 (32 enodes) 5.602 * * [simplify]: Extracting #0: cost 1 inf + 0 5.602 * * [simplify]: Extracting #1: cost 6 inf + 0 5.603 * * [simplify]: Extracting #2: cost 7 inf + 2 5.603 * * [simplify]: Extracting #3: cost 10 inf + 2 5.603 * * [simplify]: Extracting #4: cost 8 inf + 4 5.603 * * [simplify]: Extracting #5: cost 3 inf + 532 5.603 * * [simplify]: Extracting #6: cost 0 inf + 946 5.604 * [simplify]: Simplified to (- (/ 1/2 (hypot 1 x)) 1/2) 5.604 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (/ (- (/ 1/4 (* (hypot 1 x) (hypot 1 x))) 1/4) (- (/ 1/2 (hypot 1 x)) 1/2))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 5.604 * * * * [progress]: [ 25 / 169 ] simplifiying candidate # 5.604 * * * * [progress]: [ 26 / 169 ] simplifiying candidate # 5.604 * [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))))) 5.605 * * [simplify]: iters left: 6 (10 enodes) 5.610 * * [simplify]: iters left: 5 (37 enodes) 5.622 * * [simplify]: iters left: 4 (43 enodes) 5.636 * * [simplify]: iters left: 3 (53 enodes) 5.648 * * [simplify]: iters left: 2 (73 enodes) 5.665 * * [simplify]: iters left: 1 (119 enodes) 5.710 * * [simplify]: Extracting #0: cost 1 inf + 0 5.710 * * [simplify]: Extracting #1: cost 13 inf + 0 5.710 * * [simplify]: Extracting #2: cost 40 inf + 1 5.710 * * [simplify]: Extracting #3: cost 41 inf + 7 5.711 * * [simplify]: Extracting #4: cost 41 inf + 10 5.711 * * [simplify]: Extracting #5: cost 42 inf + 11 5.712 * * [simplify]: Extracting #6: cost 29 inf + 2397 5.715 * * [simplify]: Extracting #7: cost 10 inf + 12311 5.719 * * [simplify]: Extracting #8: cost 0 inf + 18798 5.724 * [simplify]: Simplified to (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 5.724 * [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))))) 5.725 * [simplify]: Simplifying (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 5.725 * * [simplify]: iters left: 6 (9 enodes) 5.732 * * [simplify]: iters left: 5 (30 enodes) 5.741 * * [simplify]: iters left: 4 (32 enodes) 5.746 * * [simplify]: Extracting #0: cost 1 inf + 0 5.746 * * [simplify]: Extracting #1: cost 3 inf + 0 5.746 * * [simplify]: Extracting #2: cost 5 inf + 0 5.746 * * [simplify]: Extracting #3: cost 7 inf + 0 5.746 * * [simplify]: Extracting #4: cost 10 inf + 0 5.746 * * [simplify]: Extracting #5: cost 11 inf + 1 5.746 * * [simplify]: Extracting #6: cost 14 inf + 1 5.746 * * [simplify]: Extracting #7: cost 10 inf + 117 5.746 * * [simplify]: Extracting #8: cost 8 inf + 353 5.746 * * [simplify]: Extracting #9: cost 4 inf + 1025 5.747 * * [simplify]: Extracting #10: cost 0 inf + 2057 5.747 * [simplify]: Simplified to (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 5.747 * [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))))) 5.747 * * * * [progress]: [ 27 / 169 ] simplifiying candidate # 5.747 * [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))))) 5.748 * * [simplify]: iters left: 6 (10 enodes) 5.750 * * [simplify]: iters left: 5 (32 enodes) 5.756 * * [simplify]: iters left: 4 (35 enodes) 5.761 * * [simplify]: Extracting #0: cost 1 inf + 0 5.761 * * [simplify]: Extracting #1: cost 4 inf + 0 5.761 * * [simplify]: Extracting #2: cost 7 inf + 0 5.761 * * [simplify]: Extracting #3: cost 10 inf + 0 5.761 * * [simplify]: Extracting #4: cost 11 inf + 1 5.761 * * [simplify]: Extracting #5: cost 14 inf + 1 5.762 * * [simplify]: Extracting #6: cost 11 inf + 60 5.762 * * [simplify]: Extracting #7: cost 8 inf + 353 5.762 * * [simplify]: Extracting #8: cost 1 inf + 1799 5.762 * * [simplify]: Extracting #9: cost 0 inf + 2057 5.763 * [simplify]: Simplified to (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 5.763 * [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))))) 5.763 * [simplify]: Simplifying (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 5.763 * * [simplify]: iters left: 6 (9 enodes) 5.766 * * [simplify]: iters left: 5 (28 enodes) 5.772 * * [simplify]: iters left: 4 (31 enodes) 5.781 * * [simplify]: Extracting #0: cost 1 inf + 0 5.781 * * [simplify]: Extracting #1: cost 4 inf + 0 5.781 * * [simplify]: Extracting #2: cost 8 inf + 0 5.782 * * [simplify]: Extracting #3: cost 9 inf + 1 5.782 * * [simplify]: Extracting #4: cost 12 inf + 1 5.782 * * [simplify]: Extracting #5: cost 8 inf + 117 5.782 * * [simplify]: Extracting #6: cost 6 inf + 353 5.782 * * [simplify]: Extracting #7: cost 2 inf + 1065 5.783 * * [simplify]: Extracting #8: cost 0 inf + 1541 5.783 * [simplify]: Simplified to (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 5.783 * [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))))) 5.784 * * * * [progress]: [ 28 / 169 ] simplifiying candidate # 5.784 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 5.784 * * [simplify]: iters left: 6 (9 enodes) 5.789 * * [simplify]: iters left: 5 (28 enodes) 5.797 * * [simplify]: iters left: 4 (31 enodes) 5.806 * * [simplify]: Extracting #0: cost 1 inf + 0 5.806 * * [simplify]: Extracting #1: cost 4 inf + 0 5.806 * * [simplify]: Extracting #2: cost 8 inf + 0 5.806 * * [simplify]: Extracting #3: cost 9 inf + 1 5.806 * * [simplify]: Extracting #4: cost 12 inf + 1 5.806 * * [simplify]: Extracting #5: cost 8 inf + 117 5.807 * * [simplify]: Extracting #6: cost 6 inf + 353 5.807 * * [simplify]: Extracting #7: cost 2 inf + 985 5.807 * * [simplify]: Extracting #8: cost 0 inf + 1381 5.808 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 5.808 * [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))))) 5.808 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 5.809 * * [simplify]: iters left: 6 (9 enodes) 5.813 * * [simplify]: iters left: 5 (28 enodes) 5.817 * * [simplify]: iters left: 4 (31 enodes) 5.822 * * [simplify]: Extracting #0: cost 1 inf + 0 5.822 * * [simplify]: Extracting #1: cost 4 inf + 0 5.822 * * [simplify]: Extracting #2: cost 8 inf + 0 5.822 * * [simplify]: Extracting #3: cost 9 inf + 1 5.822 * * [simplify]: Extracting #4: cost 12 inf + 1 5.822 * * [simplify]: Extracting #5: cost 8 inf + 117 5.823 * * [simplify]: Extracting #6: cost 6 inf + 353 5.823 * * [simplify]: Extracting #7: cost 2 inf + 985 5.823 * * [simplify]: Extracting #8: cost 0 inf + 1381 5.823 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 5.823 * [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))))) 5.823 * * * * [progress]: [ 29 / 169 ] simplifiying candidate # 5.824 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 5.824 * * [simplify]: iters left: 6 (9 enodes) 5.826 * * [simplify]: iters left: 5 (28 enodes) 5.831 * * [simplify]: iters left: 4 (31 enodes) 5.839 * * [simplify]: Extracting #0: cost 1 inf + 0 5.839 * * [simplify]: Extracting #1: cost 4 inf + 0 5.839 * * [simplify]: Extracting #2: cost 8 inf + 0 5.839 * * [simplify]: Extracting #3: cost 9 inf + 1 5.839 * * [simplify]: Extracting #4: cost 12 inf + 1 5.839 * * [simplify]: Extracting #5: cost 8 inf + 117 5.840 * * [simplify]: Extracting #6: cost 6 inf + 353 5.840 * * [simplify]: Extracting #7: cost 2 inf + 985 5.840 * * [simplify]: Extracting #8: cost 0 inf + 1381 5.841 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 5.841 * [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))))) 5.841 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 5.842 * * [simplify]: iters left: 6 (9 enodes) 5.846 * * [simplify]: iters left: 5 (28 enodes) 5.858 * * [simplify]: iters left: 4 (31 enodes) 5.868 * * [simplify]: Extracting #0: cost 1 inf + 0 5.868 * * [simplify]: Extracting #1: cost 4 inf + 0 5.868 * * [simplify]: Extracting #2: cost 8 inf + 0 5.868 * * [simplify]: Extracting #3: cost 9 inf + 1 5.868 * * [simplify]: Extracting #4: cost 12 inf + 1 5.868 * * [simplify]: Extracting #5: cost 8 inf + 117 5.868 * * [simplify]: Extracting #6: cost 6 inf + 353 5.868 * * [simplify]: Extracting #7: cost 2 inf + 985 5.869 * * [simplify]: Extracting #8: cost 0 inf + 1381 5.869 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 5.869 * [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))))) 5.870 * * * * [progress]: [ 30 / 169 ] simplifiying candidate # 5.870 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 5.870 * * [simplify]: iters left: 3 (3 enodes) 5.874 * * [simplify]: iters left: 2 (9 enodes) 5.876 * * [simplify]: iters left: 1 (11 enodes) 5.879 * * [simplify]: Extracting #0: cost 1 inf + 0 5.879 * * [simplify]: Extracting #1: cost 0 inf + 1 5.879 * [simplify]: Simplified to 1 5.879 * [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))))) 5.879 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 5.880 * * [simplify]: iters left: 6 (8 enodes) 5.884 * * [simplify]: iters left: 5 (25 enodes) 5.891 * * [simplify]: iters left: 4 (28 enodes) 5.899 * * [simplify]: Extracting #0: cost 1 inf + 0 5.899 * * [simplify]: Extracting #1: cost 5 inf + 0 5.899 * * [simplify]: Extracting #2: cost 7 inf + 1 5.899 * * [simplify]: Extracting #3: cost 10 inf + 1 5.900 * * [simplify]: Extracting #4: cost 8 inf + 3 5.900 * * [simplify]: Extracting #5: cost 3 inf + 491 5.900 * * [simplify]: Extracting #6: cost 1 inf + 767 5.900 * * [simplify]: Extracting #7: cost 0 inf + 945 5.901 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 5.901 * [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))))) 5.901 * * * * [progress]: [ 31 / 169 ] simplifiying candidate # 5.901 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 5.901 * * [simplify]: iters left: 3 (3 enodes) 5.904 * * [simplify]: iters left: 2 (9 enodes) 5.906 * * [simplify]: iters left: 1 (11 enodes) 5.907 * * [simplify]: Extracting #0: cost 1 inf + 0 5.907 * * [simplify]: Extracting #1: cost 0 inf + 1 5.907 * [simplify]: Simplified to 1 5.907 * [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))))) 5.908 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 5.908 * * [simplify]: iters left: 6 (8 enodes) 5.910 * * [simplify]: iters left: 5 (25 enodes) 5.914 * * [simplify]: iters left: 4 (28 enodes) 5.918 * * [simplify]: Extracting #0: cost 1 inf + 0 5.918 * * [simplify]: Extracting #1: cost 5 inf + 0 5.918 * * [simplify]: Extracting #2: cost 7 inf + 1 5.918 * * [simplify]: Extracting #3: cost 10 inf + 1 5.918 * * [simplify]: Extracting #4: cost 8 inf + 3 5.918 * * [simplify]: Extracting #5: cost 3 inf + 491 5.919 * * [simplify]: Extracting #6: cost 1 inf + 767 5.919 * * [simplify]: Extracting #7: cost 0 inf + 945 5.919 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 5.919 * [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))))) 5.919 * * * * [progress]: [ 32 / 169 ] simplifiying candidate # 5.919 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 5.919 * * [simplify]: iters left: 3 (3 enodes) 5.921 * * [simplify]: iters left: 2 (9 enodes) 5.923 * * [simplify]: iters left: 1 (11 enodes) 5.925 * * [simplify]: Extracting #0: cost 1 inf + 0 5.925 * * [simplify]: Extracting #1: cost 0 inf + 1 5.925 * [simplify]: Simplified to 1 5.925 * [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))))) 5.925 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 5.925 * * [simplify]: iters left: 6 (8 enodes) 5.927 * * [simplify]: iters left: 5 (25 enodes) 5.931 * * [simplify]: iters left: 4 (28 enodes) 5.940 * * [simplify]: Extracting #0: cost 1 inf + 0 5.940 * * [simplify]: Extracting #1: cost 5 inf + 0 5.940 * * [simplify]: Extracting #2: cost 7 inf + 1 5.940 * * [simplify]: Extracting #3: cost 10 inf + 1 5.940 * * [simplify]: Extracting #4: cost 8 inf + 3 5.940 * * [simplify]: Extracting #5: cost 3 inf + 491 5.940 * * [simplify]: Extracting #6: cost 1 inf + 767 5.941 * * [simplify]: Extracting #7: cost 0 inf + 945 5.941 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 5.941 * [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))))) 5.941 * * * * [progress]: [ 33 / 169 ] simplifiying candidate # 5.942 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 5.942 * * [simplify]: iters left: 3 (3 enodes) 5.945 * * [simplify]: iters left: 2 (9 enodes) 5.948 * * [simplify]: iters left: 1 (11 enodes) 5.951 * * [simplify]: Extracting #0: cost 1 inf + 0 5.951 * * [simplify]: Extracting #1: cost 0 inf + 1 5.951 * [simplify]: Simplified to 1 5.951 * [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))))) 5.952 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 5.952 * * [simplify]: iters left: 6 (8 enodes) 5.956 * * [simplify]: iters left: 5 (25 enodes) 5.964 * * [simplify]: iters left: 4 (28 enodes) 5.972 * * [simplify]: Extracting #0: cost 1 inf + 0 5.972 * * [simplify]: Extracting #1: cost 5 inf + 0 5.972 * * [simplify]: Extracting #2: cost 7 inf + 1 5.972 * * [simplify]: Extracting #3: cost 10 inf + 1 5.973 * * [simplify]: Extracting #4: cost 8 inf + 3 5.973 * * [simplify]: Extracting #5: cost 3 inf + 491 5.973 * * [simplify]: Extracting #6: cost 1 inf + 767 5.974 * * [simplify]: Extracting #7: cost 0 inf + 945 5.974 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 5.974 * [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))))) 5.974 * * * * [progress]: [ 34 / 169 ] simplifiying candidate # 5.975 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 5.975 * * [simplify]: iters left: 6 (9 enodes) 5.980 * * [simplify]: iters left: 5 (28 enodes) 5.988 * * [simplify]: iters left: 4 (31 enodes) 5.994 * * [simplify]: Extracting #0: cost 1 inf + 0 5.994 * * [simplify]: Extracting #1: cost 4 inf + 0 5.995 * * [simplify]: Extracting #2: cost 8 inf + 0 5.995 * * [simplify]: Extracting #3: cost 9 inf + 1 5.995 * * [simplify]: Extracting #4: cost 12 inf + 1 5.995 * * [simplify]: Extracting #5: cost 8 inf + 117 5.995 * * [simplify]: Extracting #6: cost 6 inf + 353 5.995 * * [simplify]: Extracting #7: cost 2 inf + 985 5.995 * * [simplify]: Extracting #8: cost 0 inf + 1381 5.995 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 5.996 * [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))))) 5.996 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 5.996 * * [simplify]: iters left: 6 (9 enodes) 5.998 * * [simplify]: iters left: 5 (28 enodes) 6.003 * * [simplify]: iters left: 4 (31 enodes) 6.008 * * [simplify]: Extracting #0: cost 1 inf + 0 6.008 * * [simplify]: Extracting #1: cost 4 inf + 0 6.008 * * [simplify]: Extracting #2: cost 8 inf + 0 6.008 * * [simplify]: Extracting #3: cost 9 inf + 1 6.008 * * [simplify]: Extracting #4: cost 12 inf + 1 6.008 * * [simplify]: Extracting #5: cost 8 inf + 117 6.008 * * [simplify]: Extracting #6: cost 6 inf + 353 6.008 * * [simplify]: Extracting #7: cost 2 inf + 985 6.008 * * [simplify]: Extracting #8: cost 0 inf + 1381 6.009 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 6.009 * [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))))) 6.009 * * * * [progress]: [ 35 / 169 ] simplifiying candidate # 6.009 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 6.009 * * [simplify]: iters left: 6 (9 enodes) 6.011 * * [simplify]: iters left: 5 (28 enodes) 6.016 * * [simplify]: iters left: 4 (31 enodes) 6.025 * * [simplify]: Extracting #0: cost 1 inf + 0 6.025 * * [simplify]: Extracting #1: cost 4 inf + 0 6.025 * * [simplify]: Extracting #2: cost 8 inf + 0 6.025 * * [simplify]: Extracting #3: cost 9 inf + 1 6.025 * * [simplify]: Extracting #4: cost 12 inf + 1 6.026 * * [simplify]: Extracting #5: cost 8 inf + 117 6.026 * * [simplify]: Extracting #6: cost 6 inf + 353 6.026 * * [simplify]: Extracting #7: cost 2 inf + 985 6.027 * * [simplify]: Extracting #8: cost 0 inf + 1381 6.027 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 6.027 * [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))))) 6.028 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 6.028 * * [simplify]: iters left: 6 (9 enodes) 6.032 * * [simplify]: iters left: 5 (28 enodes) 6.038 * * [simplify]: iters left: 4 (31 enodes) 6.043 * * [simplify]: Extracting #0: cost 1 inf + 0 6.043 * * [simplify]: Extracting #1: cost 4 inf + 0 6.043 * * [simplify]: Extracting #2: cost 8 inf + 0 6.043 * * [simplify]: Extracting #3: cost 9 inf + 1 6.043 * * [simplify]: Extracting #4: cost 12 inf + 1 6.043 * * [simplify]: Extracting #5: cost 8 inf + 117 6.043 * * [simplify]: Extracting #6: cost 6 inf + 353 6.044 * * [simplify]: Extracting #7: cost 2 inf + 985 6.044 * * [simplify]: Extracting #8: cost 0 inf + 1381 6.044 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 6.044 * [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))))) 6.044 * * * * [progress]: [ 36 / 169 ] simplifiying candidate # 6.044 * [simplify]: Simplifying (* 1 1) 6.044 * * [simplify]: iters left: 2 (2 enodes) 6.045 * * [simplify]: iters left: 1 (6 enodes) 6.046 * * [simplify]: Extracting #0: cost 1 inf + 0 6.046 * * [simplify]: Extracting #1: cost 0 inf + 1 6.046 * [simplify]: Simplified to 1 6.046 * [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))))) 6.047 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 6.047 * * [simplify]: iters left: 6 (8 enodes) 6.049 * * [simplify]: iters left: 5 (25 enodes) 6.053 * * [simplify]: iters left: 4 (28 enodes) 6.057 * * [simplify]: Extracting #0: cost 1 inf + 0 6.057 * * [simplify]: Extracting #1: cost 5 inf + 0 6.057 * * [simplify]: Extracting #2: cost 7 inf + 1 6.057 * * [simplify]: Extracting #3: cost 10 inf + 1 6.057 * * [simplify]: Extracting #4: cost 8 inf + 3 6.057 * * [simplify]: Extracting #5: cost 3 inf + 491 6.057 * * [simplify]: Extracting #6: cost 1 inf + 767 6.058 * * [simplify]: Extracting #7: cost 0 inf + 945 6.058 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 6.058 * [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))))) 6.058 * * * * [progress]: [ 37 / 169 ] simplifiying candidate # 6.058 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 6.058 * * [simplify]: iters left: 6 (9 enodes) 6.061 * * [simplify]: iters left: 5 (28 enodes) 6.066 * * [simplify]: iters left: 4 (31 enodes) 6.075 * * [simplify]: Extracting #0: cost 1 inf + 0 6.075 * * [simplify]: Extracting #1: cost 4 inf + 0 6.075 * * [simplify]: Extracting #2: cost 8 inf + 0 6.075 * * [simplify]: Extracting #3: cost 9 inf + 1 6.075 * * [simplify]: Extracting #4: cost 12 inf + 1 6.076 * * [simplify]: Extracting #5: cost 8 inf + 117 6.076 * * [simplify]: Extracting #6: cost 6 inf + 353 6.076 * * [simplify]: Extracting #7: cost 2 inf + 985 6.076 * * [simplify]: Extracting #8: cost 0 inf + 1381 6.077 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 6.077 * [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))))) 6.077 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 6.078 * * [simplify]: iters left: 6 (9 enodes) 6.082 * * [simplify]: iters left: 5 (28 enodes) 6.091 * * [simplify]: iters left: 4 (31 enodes) 6.099 * * [simplify]: Extracting #0: cost 1 inf + 0 6.100 * * [simplify]: Extracting #1: cost 4 inf + 0 6.100 * * [simplify]: Extracting #2: cost 8 inf + 0 6.100 * * [simplify]: Extracting #3: cost 9 inf + 1 6.100 * * [simplify]: Extracting #4: cost 12 inf + 1 6.100 * * [simplify]: Extracting #5: cost 8 inf + 117 6.100 * * [simplify]: Extracting #6: cost 6 inf + 353 6.100 * * [simplify]: Extracting #7: cost 2 inf + 985 6.101 * * [simplify]: Extracting #8: cost 0 inf + 1381 6.101 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 6.101 * [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))))) 6.102 * * * * [progress]: [ 38 / 169 ] simplifiying candidate # 6.102 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 6.102 * * [simplify]: iters left: 6 (9 enodes) 6.109 * * [simplify]: iters left: 5 (28 enodes) 6.118 * * [simplify]: iters left: 4 (31 enodes) 6.127 * * [simplify]: Extracting #0: cost 1 inf + 0 6.127 * * [simplify]: Extracting #1: cost 4 inf + 0 6.127 * * [simplify]: Extracting #2: cost 8 inf + 0 6.127 * * [simplify]: Extracting #3: cost 9 inf + 1 6.127 * * [simplify]: Extracting #4: cost 12 inf + 1 6.127 * * [simplify]: Extracting #5: cost 8 inf + 117 6.128 * * [simplify]: Extracting #6: cost 6 inf + 353 6.128 * * [simplify]: Extracting #7: cost 2 inf + 985 6.129 * * [simplify]: Extracting #8: cost 0 inf + 1381 6.129 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 6.129 * [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))))) 6.130 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 6.130 * * [simplify]: iters left: 6 (9 enodes) 6.134 * * [simplify]: iters left: 5 (28 enodes) 6.144 * * [simplify]: iters left: 4 (31 enodes) 6.153 * * [simplify]: Extracting #0: cost 1 inf + 0 6.153 * * [simplify]: Extracting #1: cost 4 inf + 0 6.153 * * [simplify]: Extracting #2: cost 8 inf + 0 6.153 * * [simplify]: Extracting #3: cost 9 inf + 1 6.153 * * [simplify]: Extracting #4: cost 12 inf + 1 6.153 * * [simplify]: Extracting #5: cost 8 inf + 117 6.153 * * [simplify]: Extracting #6: cost 6 inf + 353 6.154 * * [simplify]: Extracting #7: cost 2 inf + 985 6.154 * * [simplify]: Extracting #8: cost 0 inf + 1381 6.155 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 6.155 * [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))))) 6.155 * * * * [progress]: [ 39 / 169 ] simplifiying candidate # 6.155 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 6.156 * * [simplify]: iters left: 6 (9 enodes) 6.160 * * [simplify]: iters left: 5 (28 enodes) 6.169 * * [simplify]: iters left: 4 (31 enodes) 6.178 * * [simplify]: Extracting #0: cost 1 inf + 0 6.178 * * [simplify]: Extracting #1: cost 4 inf + 0 6.178 * * [simplify]: Extracting #2: cost 8 inf + 0 6.178 * * [simplify]: Extracting #3: cost 9 inf + 1 6.178 * * [simplify]: Extracting #4: cost 12 inf + 1 6.178 * * [simplify]: Extracting #5: cost 8 inf + 117 6.178 * * [simplify]: Extracting #6: cost 6 inf + 353 6.179 * * [simplify]: Extracting #7: cost 2 inf + 985 6.179 * * [simplify]: Extracting #8: cost 0 inf + 1381 6.180 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 6.180 * [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))))) 6.180 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 6.180 * * [simplify]: iters left: 6 (9 enodes) 6.185 * * [simplify]: iters left: 5 (28 enodes) 6.193 * * [simplify]: iters left: 4 (31 enodes) 6.203 * * [simplify]: Extracting #0: cost 1 inf + 0 6.203 * * [simplify]: Extracting #1: cost 4 inf + 0 6.203 * * [simplify]: Extracting #2: cost 8 inf + 0 6.203 * * [simplify]: Extracting #3: cost 9 inf + 1 6.203 * * [simplify]: Extracting #4: cost 12 inf + 1 6.203 * * [simplify]: Extracting #5: cost 8 inf + 117 6.203 * * [simplify]: Extracting #6: cost 6 inf + 353 6.204 * * [simplify]: Extracting #7: cost 2 inf + 985 6.204 * * [simplify]: Extracting #8: cost 0 inf + 1381 6.205 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 6.205 * [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))))) 6.205 * * * * [progress]: [ 40 / 169 ] simplifiying candidate # 6.205 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 6.205 * * [simplify]: iters left: 6 (9 enodes) 6.210 * * [simplify]: iters left: 5 (28 enodes) 6.219 * * [simplify]: iters left: 4 (31 enodes) 6.227 * * [simplify]: Extracting #0: cost 1 inf + 0 6.227 * * [simplify]: Extracting #1: cost 4 inf + 0 6.228 * * [simplify]: Extracting #2: cost 8 inf + 0 6.228 * * [simplify]: Extracting #3: cost 9 inf + 1 6.228 * * [simplify]: Extracting #4: cost 12 inf + 1 6.228 * * [simplify]: Extracting #5: cost 8 inf + 117 6.228 * * [simplify]: Extracting #6: cost 6 inf + 353 6.228 * * [simplify]: Extracting #7: cost 2 inf + 985 6.229 * * [simplify]: Extracting #8: cost 0 inf + 1381 6.229 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 6.229 * [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))))) 6.230 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 6.230 * * [simplify]: iters left: 6 (9 enodes) 6.235 * * [simplify]: iters left: 5 (28 enodes) 6.244 * * [simplify]: iters left: 4 (31 enodes) 6.253 * * [simplify]: Extracting #0: cost 1 inf + 0 6.253 * * [simplify]: Extracting #1: cost 4 inf + 0 6.253 * * [simplify]: Extracting #2: cost 8 inf + 0 6.253 * * [simplify]: Extracting #3: cost 9 inf + 1 6.254 * * [simplify]: Extracting #4: cost 12 inf + 1 6.254 * * [simplify]: Extracting #5: cost 8 inf + 117 6.254 * * [simplify]: Extracting #6: cost 6 inf + 353 6.254 * * [simplify]: Extracting #7: cost 2 inf + 985 6.255 * * [simplify]: Extracting #8: cost 0 inf + 1381 6.255 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 6.255 * [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))))) 6.255 * * * * [progress]: [ 41 / 169 ] simplifiying candidate # 6.256 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 6.256 * * [simplify]: iters left: 5 (6 enodes) 6.259 * * [simplify]: iters left: 4 (21 enodes) 6.266 * * [simplify]: iters left: 3 (23 enodes) 6.275 * * [simplify]: Extracting #0: cost 1 inf + 0 6.275 * * [simplify]: Extracting #1: cost 4 inf + 0 6.275 * * [simplify]: Extracting #2: cost 5 inf + 1 6.275 * * [simplify]: Extracting #3: cost 8 inf + 1 6.275 * * [simplify]: Extracting #4: cost 6 inf + 3 6.275 * * [simplify]: Extracting #5: cost 0 inf + 589 6.275 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 6.275 * [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))))) 6.276 * [simplify]: Simplifying (* 2 1/2) 6.276 * * [simplify]: iters left: 2 (3 enodes) 6.279 * * [simplify]: iters left: 1 (11 enodes) 6.283 * * [simplify]: Extracting #0: cost 1 inf + 0 6.283 * * [simplify]: Extracting #1: cost 0 inf + 1 6.283 * [simplify]: Simplified to 1 6.283 * [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))))) 6.283 * * * * [progress]: [ 42 / 169 ] simplifiying candidate # 6.283 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 6.284 * * [simplify]: iters left: 6 (7 enodes) 6.287 * * [simplify]: iters left: 5 (24 enodes) 6.295 * * [simplify]: iters left: 4 (26 enodes) 6.303 * * [simplify]: Extracting #0: cost 1 inf + 0 6.303 * * [simplify]: Extracting #1: cost 3 inf + 0 6.304 * * [simplify]: Extracting #2: cost 6 inf + 0 6.304 * * [simplify]: Extracting #3: cost 7 inf + 1 6.304 * * [simplify]: Extracting #4: cost 10 inf + 1 6.304 * * [simplify]: Extracting #5: cost 6 inf + 117 6.304 * * [simplify]: Extracting #6: cost 2 inf + 629 6.304 * * [simplify]: Extracting #7: cost 0 inf + 945 6.305 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 6.305 * [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))))) 6.305 * [simplify]: Simplifying (* 2 1) 6.305 * * [simplify]: iters left: 2 (3 enodes) 6.307 * * [simplify]: iters left: 1 (9 enodes) 6.311 * * [simplify]: Extracting #0: cost 1 inf + 0 6.311 * * [simplify]: Extracting #1: cost 0 inf + 1 6.311 * [simplify]: Simplified to 2 6.311 * [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))))) 6.311 * * * * [progress]: [ 43 / 169 ] simplifiying candidate # 6.311 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 6.311 * * [simplify]: iters left: 5 (6 enodes) 6.315 * * [simplify]: iters left: 4 (21 enodes) 6.321 * * [simplify]: iters left: 3 (23 enodes) 6.324 * * [simplify]: Extracting #0: cost 1 inf + 0 6.324 * * [simplify]: Extracting #1: cost 4 inf + 0 6.325 * * [simplify]: Extracting #2: cost 5 inf + 1 6.325 * * [simplify]: Extracting #3: cost 8 inf + 1 6.325 * * [simplify]: Extracting #4: cost 6 inf + 3 6.325 * * [simplify]: Extracting #5: cost 0 inf + 589 6.325 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 6.325 * [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))))) 6.325 * [simplify]: Simplifying (* 2 (/ 1 2)) 6.325 * * [simplify]: iters left: 4 (4 enodes) 6.327 * * [simplify]: iters left: 3 (13 enodes) 6.330 * * [simplify]: iters left: 2 (15 enodes) 6.332 * * [simplify]: Extracting #0: cost 1 inf + 0 6.332 * * [simplify]: Extracting #1: cost 0 inf + 1 6.332 * [simplify]: Simplified to 1 6.332 * [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))))) 6.332 * * * * [progress]: [ 44 / 169 ] simplifiying candidate # 6.333 * [simplify]: Simplifying (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 6.333 * * [simplify]: iters left: 6 (8 enodes) 6.335 * * [simplify]: iters left: 5 (27 enodes) 6.344 * * [simplify]: iters left: 4 (29 enodes) 6.352 * * [simplify]: Extracting #0: cost 1 inf + 0 6.352 * * [simplify]: Extracting #1: cost 3 inf + 0 6.352 * * [simplify]: Extracting #2: cost 5 inf + 0 6.352 * * [simplify]: Extracting #3: cost 8 inf + 0 6.352 * * [simplify]: Extracting #4: cost 9 inf + 1 6.352 * * [simplify]: Extracting #5: cost 12 inf + 1 6.353 * * [simplify]: Extracting #6: cost 9 inf + 60 6.353 * * [simplify]: Extracting #7: cost 5 inf + 451 6.353 * * [simplify]: Extracting #8: cost 1 inf + 1203 6.354 * * [simplify]: Extracting #9: cost 0 inf + 1461 6.354 * [simplify]: Simplified to (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 6.354 * [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))))) 6.354 * * * * [progress]: [ 45 / 169 ] simplifiying candidate # 6.355 * [simplify]: Simplifying (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 6.355 * * [simplify]: iters left: 6 (8 enodes) 6.359 * * [simplify]: iters left: 5 (27 enodes) 6.367 * * [simplify]: iters left: 4 (29 enodes) 6.376 * * [simplify]: Extracting #0: cost 1 inf + 0 6.376 * * [simplify]: Extracting #1: cost 3 inf + 0 6.376 * * [simplify]: Extracting #2: cost 5 inf + 0 6.376 * * [simplify]: Extracting #3: cost 8 inf + 0 6.376 * * [simplify]: Extracting #4: cost 9 inf + 1 6.377 * * [simplify]: Extracting #5: cost 12 inf + 1 6.377 * * [simplify]: Extracting #6: cost 9 inf + 60 6.377 * * [simplify]: Extracting #7: cost 5 inf + 451 6.377 * * [simplify]: Extracting #8: cost 1 inf + 1283 6.378 * * [simplify]: Extracting #9: cost 0 inf + 1541 6.378 * [simplify]: Simplified to (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 6.378 * [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))))) 6.378 * * * * [progress]: [ 46 / 169 ] simplifiying candidate # 6.379 * [simplify]: Simplifying (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 6.379 * * [simplify]: iters left: 6 (8 enodes) 6.383 * * [simplify]: iters left: 5 (27 enodes) 6.390 * * [simplify]: iters left: 4 (29 enodes) 6.394 * * [simplify]: Extracting #0: cost 1 inf + 0 6.394 * * [simplify]: Extracting #1: cost 3 inf + 0 6.394 * * [simplify]: Extracting #2: cost 5 inf + 0 6.394 * * [simplify]: Extracting #3: cost 8 inf + 0 6.394 * * [simplify]: Extracting #4: cost 9 inf + 1 6.394 * * [simplify]: Extracting #5: cost 12 inf + 1 6.395 * * [simplify]: Extracting #6: cost 9 inf + 60 6.395 * * [simplify]: Extracting #7: cost 5 inf + 451 6.395 * * [simplify]: Extracting #8: cost 1 inf + 1163 6.395 * * [simplify]: Extracting #9: cost 0 inf + 1381 6.395 * [simplify]: Simplified to (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 6.395 * [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))))) 6.395 * * * * [progress]: [ 47 / 169 ] simplifiying candidate # 6.396 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 6.396 * * [simplify]: iters left: 6 (7 enodes) 6.398 * * [simplify]: iters left: 5 (24 enodes) 6.402 * * [simplify]: iters left: 4 (26 enodes) 6.408 * * [simplify]: Extracting #0: cost 1 inf + 0 6.408 * * [simplify]: Extracting #1: cost 3 inf + 0 6.408 * * [simplify]: Extracting #2: cost 6 inf + 0 6.408 * * [simplify]: Extracting #3: cost 7 inf + 1 6.408 * * [simplify]: Extracting #4: cost 10 inf + 1 6.408 * * [simplify]: Extracting #5: cost 6 inf + 117 6.408 * * [simplify]: Extracting #6: cost 2 inf + 629 6.409 * * [simplify]: Extracting #7: cost 0 inf + 945 6.409 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 6.409 * [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))))) 6.409 * * * * [progress]: [ 48 / 169 ] simplifiying candidate # 6.410 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 6.410 * * [simplify]: iters left: 6 (7 enodes) 6.414 * * [simplify]: iters left: 5 (24 enodes) 6.421 * * [simplify]: iters left: 4 (26 enodes) 6.426 * * [simplify]: Extracting #0: cost 1 inf + 0 6.426 * * [simplify]: Extracting #1: cost 3 inf + 0 6.426 * * [simplify]: Extracting #2: cost 6 inf + 0 6.426 * * [simplify]: Extracting #3: cost 7 inf + 1 6.427 * * [simplify]: Extracting #4: cost 10 inf + 1 6.427 * * [simplify]: Extracting #5: cost 6 inf + 117 6.427 * * [simplify]: Extracting #6: cost 2 inf + 629 6.427 * * [simplify]: Extracting #7: cost 0 inf + 945 6.427 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 6.427 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* 1 1) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 6.427 * * * * [progress]: [ 49 / 169 ] simplifiying candidate # 6.427 * [simplify]: Simplifying (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 6.428 * * [simplify]: iters left: 6 (8 enodes) 6.430 * * [simplify]: iters left: 5 (27 enodes) 6.434 * * [simplify]: iters left: 4 (29 enodes) 6.438 * * [simplify]: Extracting #0: cost 1 inf + 0 6.438 * * [simplify]: Extracting #1: cost 3 inf + 0 6.438 * * [simplify]: Extracting #2: cost 5 inf + 0 6.438 * * [simplify]: Extracting #3: cost 8 inf + 0 6.439 * * [simplify]: Extracting #4: cost 9 inf + 1 6.439 * * [simplify]: Extracting #5: cost 12 inf + 1 6.439 * * [simplify]: Extracting #6: cost 9 inf + 60 6.439 * * [simplify]: Extracting #7: cost 5 inf + 451 6.439 * * [simplify]: Extracting #8: cost 1 inf + 1163 6.439 * * [simplify]: Extracting #9: cost 0 inf + 1381 6.439 * [simplify]: Simplified to (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 6.439 * [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))))) 6.440 * * * * [progress]: [ 50 / 169 ] simplifiying candidate # 6.440 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 6.440 * * [simplify]: iters left: 6 (7 enodes) 6.442 * * [simplify]: iters left: 5 (24 enodes) 6.446 * * [simplify]: iters left: 4 (26 enodes) 6.451 * * [simplify]: Extracting #0: cost 1 inf + 0 6.451 * * [simplify]: Extracting #1: cost 3 inf + 0 6.451 * * [simplify]: Extracting #2: cost 6 inf + 0 6.451 * * [simplify]: Extracting #3: cost 7 inf + 1 6.451 * * [simplify]: Extracting #4: cost 10 inf + 1 6.451 * * [simplify]: Extracting #5: cost 6 inf + 117 6.451 * * [simplify]: Extracting #6: cost 2 inf + 629 6.452 * * [simplify]: Extracting #7: cost 0 inf + 945 6.452 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 6.452 * [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))))) 6.452 * * * * [progress]: [ 51 / 169 ] simplifiying candidate # 6.453 * [simplify]: Simplifying (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 6.453 * * [simplify]: iters left: 6 (9 enodes) 6.458 * * [simplify]: iters left: 5 (30 enodes) 6.467 * * [simplify]: iters left: 4 (32 enodes) 6.477 * * [simplify]: Extracting #0: cost 1 inf + 0 6.477 * * [simplify]: Extracting #1: cost 3 inf + 0 6.477 * * [simplify]: Extracting #2: cost 5 inf + 0 6.477 * * [simplify]: Extracting #3: cost 7 inf + 0 6.477 * * [simplify]: Extracting #4: cost 10 inf + 0 6.477 * * [simplify]: Extracting #5: cost 11 inf + 1 6.477 * * [simplify]: Extracting #6: cost 14 inf + 1 6.477 * * [simplify]: Extracting #7: cost 10 inf + 117 6.478 * * [simplify]: Extracting #8: cost 8 inf + 353 6.478 * * [simplify]: Extracting #9: cost 4 inf + 1025 6.479 * * [simplify]: Extracting #10: cost 0 inf + 2057 6.479 * [simplify]: Simplified to (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 6.479 * [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))))) 6.479 * * * * [progress]: [ 52 / 169 ] simplifiying candidate # 6.480 * [simplify]: Simplifying (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 6.480 * * [simplify]: iters left: 6 (9 enodes) 6.485 * * [simplify]: iters left: 5 (31 enodes) 6.494 * * [simplify]: iters left: 4 (33 enodes) 6.502 * * [simplify]: Extracting #0: cost 1 inf + 0 6.502 * * [simplify]: Extracting #1: cost 4 inf + 0 6.502 * * [simplify]: Extracting #2: cost 7 inf + 0 6.502 * * [simplify]: Extracting #3: cost 10 inf + 0 6.502 * * [simplify]: Extracting #4: cost 11 inf + 1 6.502 * * [simplify]: Extracting #5: cost 14 inf + 1 6.502 * * [simplify]: Extracting #6: cost 11 inf + 60 6.502 * * [simplify]: Extracting #7: cost 7 inf + 451 6.502 * * [simplify]: Extracting #8: cost 0 inf + 2057 6.503 * [simplify]: Simplified to (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 6.503 * [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))))) 6.503 * * * * [progress]: [ 53 / 169 ] simplifiying candidate # 6.503 * [simplify]: Simplifying (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 6.503 * * [simplify]: iters left: 6 (8 enodes) 6.505 * * [simplify]: iters left: 5 (27 enodes) 6.510 * * [simplify]: iters left: 4 (29 enodes) 6.514 * * [simplify]: Extracting #0: cost 1 inf + 0 6.514 * * [simplify]: Extracting #1: cost 3 inf + 0 6.514 * * [simplify]: Extracting #2: cost 5 inf + 0 6.514 * * [simplify]: Extracting #3: cost 8 inf + 0 6.514 * * [simplify]: Extracting #4: cost 9 inf + 1 6.514 * * [simplify]: Extracting #5: cost 12 inf + 1 6.514 * * [simplify]: Extracting #6: cost 9 inf + 60 6.514 * * [simplify]: Extracting #7: cost 5 inf + 451 6.515 * * [simplify]: Extracting #8: cost 1 inf + 1163 6.515 * * [simplify]: Extracting #9: cost 0 inf + 1381 6.515 * [simplify]: Simplified to (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 6.515 * [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))))) 6.515 * * * * [progress]: [ 54 / 169 ] simplifiying candidate # 6.515 * [simplify]: Simplifying (sqrt 1) 6.515 * * [simplify]: iters left: 1 (2 enodes) 6.517 * * [simplify]: Extracting #0: cost 1 inf + 0 6.517 * * [simplify]: Extracting #1: cost 0 inf + 1 6.517 * [simplify]: Simplified to 1 6.517 * [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))))) 6.518 * * * * [progress]: [ 55 / 169 ] simplifiying candidate # 6.518 * [simplify]: Simplifying (sqrt 1) 6.518 * * [simplify]: iters left: 1 (2 enodes) 6.520 * * [simplify]: Extracting #0: cost 1 inf + 0 6.520 * * [simplify]: Extracting #1: cost 0 inf + 1 6.520 * [simplify]: Simplified to 1 6.520 * [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))))) 6.520 * * * * [progress]: [ 56 / 169 ] simplifiying candidate # 6.520 * [simplify]: Simplifying (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 6.520 * * [simplify]: iters left: 6 (8 enodes) 6.524 * * [simplify]: iters left: 5 (27 enodes) 6.530 * * [simplify]: iters left: 4 (29 enodes) 6.538 * * [simplify]: Extracting #0: cost 1 inf + 0 6.538 * * [simplify]: Extracting #1: cost 3 inf + 0 6.539 * * [simplify]: Extracting #2: cost 5 inf + 0 6.539 * * [simplify]: Extracting #3: cost 8 inf + 0 6.539 * * [simplify]: Extracting #4: cost 9 inf + 1 6.539 * * [simplify]: Extracting #5: cost 12 inf + 1 6.539 * * [simplify]: Extracting #6: cost 9 inf + 60 6.539 * * [simplify]: Extracting #7: cost 5 inf + 451 6.539 * * [simplify]: Extracting #8: cost 1 inf + 1163 6.540 * * [simplify]: Extracting #9: cost 0 inf + 1381 6.540 * [simplify]: Simplified to (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 6.540 * [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))))) 6.541 * * * * [progress]: [ 57 / 169 ] simplifiying candidate # 6.541 * * * * [progress]: [ 58 / 169 ] simplifiying candidate # 6.541 * [simplify]: Simplifying (sqrt (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) 1/2)))) 6.541 * * [simplify]: iters left: 6 (11 enodes) 6.549 * * [simplify]: iters left: 5 (47 enodes) 6.565 * * [simplify]: iters left: 4 (85 enodes) 6.592 * * [simplify]: iters left: 3 (124 enodes) 6.618 * * [simplify]: iters left: 2 (167 enodes) 6.656 * * [simplify]: iters left: 1 (254 enodes) 6.713 * * [simplify]: Extracting #0: cost 1 inf + 0 6.713 * * [simplify]: Extracting #1: cost 3 inf + 0 6.713 * * [simplify]: Extracting #2: cost 18 inf + 0 6.714 * * [simplify]: Extracting #3: cost 57 inf + 2 6.714 * * [simplify]: Extracting #4: cost 76 inf + 4 6.715 * * [simplify]: Extracting #5: cost 74 inf + 6 6.717 * * [simplify]: Extracting #6: cost 44 inf + 4147 6.723 * * [simplify]: Extracting #7: cost 2 inf + 10984 6.730 * * [simplify]: Extracting #8: cost 0 inf + 11381 6.736 * [simplify]: Simplified to (sqrt (+ (- (/ -1/4 (hypot 1 x)) (/ (/ -1/4 (hypot 1 x)) (hypot 1 x))) 1/4)) 6.736 * [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 (+ (- (/ -1/4 (hypot 1 x)) (/ (/ -1/4 (hypot 1 x)) (hypot 1 x))) 1/4)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 6.737 * * * * [progress]: [ 59 / 169 ] simplifiying candidate # 6.737 * [simplify]: Simplifying (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) 6.737 * * [simplify]: iters left: 6 (7 enodes) 6.745 * * [simplify]: iters left: 5 (26 enodes) 6.753 * * [simplify]: iters left: 4 (30 enodes) 6.763 * * [simplify]: Extracting #0: cost 1 inf + 0 6.763 * * [simplify]: Extracting #1: cost 3 inf + 0 6.763 * * [simplify]: Extracting #2: cost 7 inf + 0 6.763 * * [simplify]: Extracting #3: cost 7 inf + 2 6.763 * * [simplify]: Extracting #4: cost 10 inf + 2 6.763 * * [simplify]: Extracting #5: cost 6 inf + 118 6.763 * * [simplify]: Extracting #6: cost 4 inf + 354 6.763 * * [simplify]: Extracting #7: cost 1 inf + 768 6.764 * * [simplify]: Extracting #8: cost 0 inf + 946 6.764 * [simplify]: Simplified to (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) 6.764 * [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))))) 6.764 * * * * [progress]: [ 60 / 169 ] simplifiying candidate # 6.765 * [simplify]: Simplifying (* (sqrt (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3))) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 6.765 * * [simplify]: iters left: 6 (13 enodes) 6.774 * * [simplify]: iters left: 5 (61 enodes) 6.798 * * [simplify]: iters left: 4 (103 enodes) 6.844 * * [simplify]: iters left: 3 (192 enodes) 6.918 * * [simplify]: iters left: 2 (318 enodes) 7.053 * * [simplify]: Extracting #0: cost 1 inf + 0 7.053 * * [simplify]: Extracting #1: cost 4 inf + 0 7.053 * * [simplify]: Extracting #2: cost 8 inf + 0 7.053 * * [simplify]: Extracting #3: cost 14 inf + 0 7.053 * * [simplify]: Extracting #4: cost 50 inf + 2 7.054 * * [simplify]: Extracting #5: cost 109 inf + 5 7.055 * * [simplify]: Extracting #6: cost 93 inf + 2679 7.059 * * [simplify]: Extracting #7: cost 27 inf + 21269 7.065 * * [simplify]: Extracting #8: cost 4 inf + 31835 7.070 * * [simplify]: Extracting #9: cost 0 inf + 34257 7.074 * [simplify]: Simplified to (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/8 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))))) 7.074 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (/ (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/8 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (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))))) 7.074 * * * * [progress]: [ 61 / 169 ] simplifiying candidate # 7.074 * [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))) 7.074 * * [simplify]: iters left: 6 (12 enodes) 7.079 * * [simplify]: iters left: 5 (50 enodes) 7.087 * * [simplify]: iters left: 4 (69 enodes) 7.106 * * [simplify]: iters left: 3 (95 enodes) 7.122 * * [simplify]: iters left: 2 (140 enodes) 7.148 * * [simplify]: iters left: 1 (177 enodes) 7.197 * * [simplify]: Extracting #0: cost 1 inf + 0 7.197 * * [simplify]: Extracting #1: cost 4 inf + 0 7.198 * * [simplify]: Extracting #2: cost 8 inf + 0 7.198 * * [simplify]: Extracting #3: cost 29 inf + 0 7.198 * * [simplify]: Extracting #4: cost 58 inf + 3 7.198 * * [simplify]: Extracting #5: cost 68 inf + 4 7.199 * * [simplify]: Extracting #6: cost 66 inf + 6 7.200 * * [simplify]: Extracting #7: cost 42 inf + 3515 7.205 * * [simplify]: Extracting #8: cost 3 inf + 10790 7.210 * * [simplify]: Extracting #9: cost 0 inf + 11166 7.215 * * [simplify]: Extracting #10: cost 0 inf + 11127 7.222 * [simplify]: Simplified to (* (sqrt (- (/ 1/4 (* (hypot 1 x) (hypot 1 x))) 1/4)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 7.223 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* 1 1) (/ (* (sqrt (- (/ 1/4 (* (hypot 1 x) (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))))) 7.223 * * * * [progress]: [ 62 / 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)))))> 7.223 * * * * [progress]: [ 63 / 169 ] simplifiying candidate # 7.223 * * * * [progress]: [ 64 / 169 ] simplifiying candidate # 7.223 * [simplify]: Simplifying (/ (exp (* 1 1)) (exp (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 7.223 * * [simplify]: iters left: 6 (12 enodes) 7.231 * * [simplify]: iters left: 5 (41 enodes) 7.244 * * [simplify]: iters left: 4 (65 enodes) 7.264 * * [simplify]: iters left: 3 (107 enodes) 7.297 * * [simplify]: iters left: 2 (173 enodes) 7.345 * * [simplify]: iters left: 1 (294 enodes) 7.428 * * [simplify]: Extracting #0: cost 1 inf + 0 7.428 * * [simplify]: Extracting #1: cost 50 inf + 0 7.428 * * [simplify]: Extracting #2: cost 136 inf + 1 7.429 * * [simplify]: Extracting #3: cost 168 inf + 290 7.430 * * [simplify]: Extracting #4: cost 158 inf + 1920 7.431 * * [simplify]: Extracting #5: cost 150 inf + 2800 7.432 * * [simplify]: Extracting #6: cost 134 inf + 5509 7.435 * * [simplify]: Extracting #7: cost 112 inf + 10185 7.440 * * [simplify]: Extracting #8: cost 54 inf + 35770 7.453 * * [simplify]: Extracting #9: cost 7 inf + 69540 7.472 * * [simplify]: Extracting #10: cost 0 inf + 74929 7.484 * [simplify]: Simplified to (exp (- (/ -1/2 (hypot 1 x)) -1/2)) 7.484 * [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))))) 7.484 * * * * [progress]: [ 65 / 169 ] simplifiying candidate # 7.484 * * * * [progress]: [ 66 / 169 ] simplifiying candidate # 7.484 * * * * [progress]: [ 67 / 169 ] simplifiying candidate # 7.484 * * * * [progress]: [ 68 / 169 ] simplifiying candidate # 7.485 * * * * [progress]: [ 69 / 169 ] simplifiying candidate # 7.485 * * * * [progress]: [ 70 / 169 ] simplifiying candidate # 7.485 * * * * [progress]: [ 71 / 169 ] simplifiying candidate # 7.485 * * * * [progress]: [ 72 / 169 ] simplifiying candidate # 7.485 * * * * [progress]: [ 73 / 169 ] simplifiying candidate # 7.485 * * * * [progress]: [ 74 / 169 ] simplifiying candidate # 7.485 * * * * [progress]: [ 75 / 169 ] simplifiying candidate # 7.485 * [simplify]: Simplifying (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 7.485 * * [simplify]: iters left: 6 (8 enodes) 7.488 * * [simplify]: iters left: 5 (28 enodes) 7.492 * * [simplify]: iters left: 4 (30 enodes) 7.498 * * [simplify]: Extracting #0: cost 1 inf + 0 7.498 * * [simplify]: Extracting #1: cost 4 inf + 0 7.498 * * [simplify]: Extracting #2: cost 5 inf + 1 7.498 * * [simplify]: Extracting #3: cost 8 inf + 1 7.498 * * [simplify]: Extracting #4: cost 9 inf + 2 7.498 * * [simplify]: Extracting #5: cost 11 inf + 2 7.499 * * [simplify]: Extracting #6: cost 9 inf + 60 7.499 * * [simplify]: Extracting #7: cost 5 inf + 451 7.499 * * [simplify]: Extracting #8: cost 1 inf + 1163 7.500 * * [simplify]: Extracting #9: cost 0 inf + 1381 7.500 * [simplify]: Simplified to (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 7.500 * [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))))) 7.501 * [simplify]: Simplifying (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 7.501 * * [simplify]: iters left: 6 (8 enodes) 7.505 * * [simplify]: iters left: 5 (29 enodes) 7.514 * * [simplify]: iters left: 4 (34 enodes) 7.524 * * [simplify]: Extracting #0: cost 1 inf + 0 7.524 * * [simplify]: Extracting #1: cost 5 inf + 0 7.525 * * [simplify]: Extracting #2: cost 7 inf + 1 7.525 * * [simplify]: Extracting #3: cost 10 inf + 1 7.525 * * [simplify]: Extracting #4: cost 11 inf + 2 7.525 * * [simplify]: Extracting #5: cost 13 inf + 2 7.525 * * [simplify]: Extracting #6: cost 11 inf + 60 7.525 * * [simplify]: Extracting #7: cost 7 inf + 451 7.526 * * [simplify]: Extracting #8: cost 0 inf + 1817 7.526 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 7.526 * [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))))) 7.526 * * * * [progress]: [ 76 / 169 ] simplifiying candidate # 7.527 * * * * [progress]: [ 77 / 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)))))> 7.527 * * * * [progress]: [ 78 / 169 ] simplifiying candidate # 7.527 * * * * [progress]: [ 79 / 169 ] simplifiying candidate # 7.527 * [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))))) 7.527 * * [simplify]: iters left: 6 (14 enodes) 7.533 * * [simplify]: iters left: 5 (46 enodes) 7.541 * * [simplify]: iters left: 4 (68 enodes) 7.551 * * [simplify]: iters left: 3 (79 enodes) 7.565 * * [simplify]: iters left: 2 (89 enodes) 7.587 * * [simplify]: iters left: 1 (95 enodes) 7.600 * * [simplify]: Extracting #0: cost 1 inf + 0 7.600 * * [simplify]: Extracting #1: cost 5 inf + 0 7.600 * * [simplify]: Extracting #2: cost 10 inf + 0 7.600 * * [simplify]: Extracting #3: cost 21 inf + 0 7.600 * * [simplify]: Extracting #4: cost 26 inf + 3 7.600 * * [simplify]: Extracting #5: cost 29 inf + 3 7.600 * * [simplify]: Extracting #6: cost 22 inf + 590 7.601 * * [simplify]: Extracting #7: cost 14 inf + 1794 7.601 * * [simplify]: Extracting #8: cost 4 inf + 4054 7.602 * * [simplify]: Extracting #9: cost 1 inf + 5038 7.603 * * [simplify]: Extracting #10: cost 0 inf + 5366 7.604 * [simplify]: Simplified to (- (log (- 1/2 (/ 1/2 (hypot 1 x)))) (log (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 7.605 * [simplify]: Simplified (2 1) to (λ (x) (exp (- (log (- 1/2 (/ 1/2 (hypot 1 x)))) (log (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 7.605 * * * * [progress]: [ 80 / 169 ] simplifiying candidate # 7.605 * * * * [progress]: [ 81 / 169 ] simplifiying candidate # 7.605 * * * * [progress]: [ 82 / 169 ] simplifiying candidate # 7.605 * [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))))) 7.605 * * [simplify]: iters left: 6 (16 enodes) 7.610 * * [simplify]: iters left: 5 (71 enodes) 7.638 * * [simplify]: iters left: 4 (181 enodes) 7.695 * * [simplify]: iters left: 3 (479 enodes) 8.004 * * [simplify]: Extracting #0: cost 1 inf + 0 8.004 * * [simplify]: Extracting #1: cost 67 inf + 0 8.005 * * [simplify]: Extracting #2: cost 291 inf + 2 8.007 * * [simplify]: Extracting #3: cost 425 inf + 5 8.009 * * [simplify]: Extracting #4: cost 451 inf + 7 8.011 * * [simplify]: Extracting #5: cost 443 inf + 732 8.014 * * [simplify]: Extracting #6: cost 385 inf + 12123 8.037 * * [simplify]: Extracting #7: cost 205 inf + 71108 8.076 * * [simplify]: Extracting #8: cost 15 inf + 144998 8.141 * * [simplify]: Extracting #9: cost 0 inf + 150226 8.228 * [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))))) 8.228 * [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))))))) 8.228 * * * * [progress]: [ 83 / 169 ] simplifiying candidate # 8.228 * * * * [progress]: [ 84 / 169 ] simplifiying candidate # 8.228 * * * * [progress]: [ 85 / 169 ] simplifiying candidate # 8.228 * * * * [progress]: [ 86 / 169 ] simplifiying candidate # 8.228 * * * * [progress]: [ 87 / 169 ] simplifiying candidate # 8.228 * [simplify]: Simplifying (/ (* 1 1) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 8.229 * * [simplify]: iters left: 6 (10 enodes) 8.232 * * [simplify]: iters left: 5 (32 enodes) 8.236 * * [simplify]: iters left: 4 (34 enodes) 8.241 * * [simplify]: Extracting #0: cost 1 inf + 0 8.241 * * [simplify]: Extracting #1: cost 4 inf + 0 8.241 * * [simplify]: Extracting #2: cost 5 inf + 1 8.241 * * [simplify]: Extracting #3: cost 7 inf + 1 8.241 * * [simplify]: Extracting #4: cost 10 inf + 1 8.241 * * [simplify]: Extracting #5: cost 11 inf + 2 8.241 * * [simplify]: Extracting #6: cost 13 inf + 2 8.241 * * [simplify]: Extracting #7: cost 12 inf + 3 8.242 * * [simplify]: Extracting #8: cost 9 inf + 215 8.242 * * [simplify]: Extracting #9: cost 5 inf + 767 8.242 * * [simplify]: Extracting #10: cost 0 inf + 1897 8.242 * [simplify]: Simplified to (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 8.242 * [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)))))) 8.242 * * * * [progress]: [ 88 / 169 ] simplifiying candidate # 8.243 * [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)))))) 8.243 * * [simplify]: iters left: 6 (16 enodes) 8.247 * * [simplify]: iters left: 5 (56 enodes) 8.259 * * [simplify]: iters left: 4 (90 enodes) 8.284 * * [simplify]: iters left: 3 (108 enodes) 8.299 * * [simplify]: iters left: 2 (121 enodes) 8.315 * * [simplify]: iters left: 1 (127 enodes) 8.336 * * [simplify]: Extracting #0: cost 1 inf + 0 8.336 * * [simplify]: Extracting #1: cost 11 inf + 0 8.336 * * [simplify]: Extracting #2: cost 22 inf + 0 8.336 * * [simplify]: Extracting #3: cost 33 inf + 0 8.337 * * [simplify]: Extracting #4: cost 38 inf + 3 8.337 * * [simplify]: Extracting #5: cost 41 inf + 3 8.337 * * [simplify]: Extracting #6: cost 35 inf + 493 8.338 * * [simplify]: Extracting #7: cost 24 inf + 2331 8.339 * * [simplify]: Extracting #8: cost 17 inf + 3656 8.343 * * [simplify]: Extracting #9: cost 5 inf + 8632 8.347 * * [simplify]: Extracting #10: cost 0 inf + 10882 8.351 * [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)))))) 8.351 * [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))))))) 8.351 * [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))))) 8.352 * * [simplify]: iters left: 6 (14 enodes) 8.360 * * [simplify]: iters left: 5 (44 enodes) 8.374 * * [simplify]: iters left: 4 (63 enodes) 8.391 * * [simplify]: iters left: 3 (74 enodes) 8.413 * * [simplify]: iters left: 2 (84 enodes) 8.428 * * [simplify]: iters left: 1 (90 enodes) 8.440 * * [simplify]: Extracting #0: cost 1 inf + 0 8.440 * * [simplify]: Extracting #1: cost 4 inf + 0 8.440 * * [simplify]: Extracting #2: cost 8 inf + 0 8.440 * * [simplify]: Extracting #3: cost 19 inf + 0 8.440 * * [simplify]: Extracting #4: cost 24 inf + 3 8.440 * * [simplify]: Extracting #5: cost 27 inf + 3 8.440 * * [simplify]: Extracting #6: cost 22 inf + 354 8.441 * * [simplify]: Extracting #7: cost 13 inf + 1636 8.441 * * [simplify]: Extracting #8: cost 3 inf + 3816 8.442 * * [simplify]: Extracting #9: cost 0 inf + 4790 8.443 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 8.443 * [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))))))) 8.443 * * * * [progress]: [ 89 / 169 ] simplifiying candidate # 8.444 * [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))))) 8.444 * * [simplify]: iters left: 6 (15 enodes) 8.448 * * [simplify]: iters left: 5 (49 enodes) 8.459 * * [simplify]: iters left: 4 (72 enodes) 8.481 * * [simplify]: iters left: 3 (86 enodes) 8.504 * * [simplify]: iters left: 2 (96 enodes) 8.529 * * [simplify]: iters left: 1 (102 enodes) 8.554 * * [simplify]: Extracting #0: cost 1 inf + 0 8.554 * * [simplify]: Extracting #1: cost 7 inf + 0 8.554 * * [simplify]: Extracting #2: cost 14 inf + 0 8.554 * * [simplify]: Extracting #3: cost 25 inf + 0 8.555 * * [simplify]: Extracting #4: cost 30 inf + 3 8.555 * * [simplify]: Extracting #5: cost 33 inf + 3 8.555 * * [simplify]: Extracting #6: cost 28 inf + 395 8.556 * * [simplify]: Extracting #7: cost 15 inf + 2308 8.557 * * [simplify]: Extracting #8: cost 8 inf + 3874 8.560 * * [simplify]: Extracting #9: cost 0 inf + 7144 8.562 * [simplify]: Simplified to (* (cbrt (- (/ -1/2 (hypot 1 x)) -1/2)) (/ (cbrt (- (/ -1/2 (hypot 1 x)) -1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 8.562 * [simplify]: Simplified (2 1) to (λ (x) (* (* (cbrt (- (/ -1/2 (hypot 1 x)) -1/2)) (/ (cbrt (- (/ -1/2 (hypot 1 x)) -1/2)) (sqrt (+ 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))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 8.563 * [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))))) 8.563 * * [simplify]: iters left: 6 (14 enodes) 8.570 * * [simplify]: iters left: 5 (44 enodes) 8.584 * * [simplify]: iters left: 4 (63 enodes) 8.601 * * [simplify]: iters left: 3 (74 enodes) 8.621 * * [simplify]: iters left: 2 (84 enodes) 8.638 * * [simplify]: iters left: 1 (90 enodes) 8.649 * * [simplify]: Extracting #0: cost 1 inf + 0 8.649 * * [simplify]: Extracting #1: cost 4 inf + 0 8.649 * * [simplify]: Extracting #2: cost 8 inf + 0 8.649 * * [simplify]: Extracting #3: cost 19 inf + 0 8.650 * * [simplify]: Extracting #4: cost 24 inf + 3 8.650 * * [simplify]: Extracting #5: cost 27 inf + 3 8.650 * * [simplify]: Extracting #6: cost 22 inf + 354 8.650 * * [simplify]: Extracting #7: cost 13 inf + 1636 8.651 * * [simplify]: Extracting #8: cost 3 inf + 3736 8.652 * * [simplify]: Extracting #9: cost 0 inf + 4630 8.654 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 8.654 * [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))))))) 8.654 * * * * [progress]: [ 90 / 169 ] simplifiying candidate # 8.655 * [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) 8.655 * * [simplify]: iters left: 6 (13 enodes) 8.662 * * [simplify]: iters left: 5 (40 enodes) 8.672 * * [simplify]: iters left: 4 (65 enodes) 8.682 * * [simplify]: iters left: 3 (77 enodes) 8.693 * * [simplify]: iters left: 2 (87 enodes) 8.712 * * [simplify]: iters left: 1 (93 enodes) 8.735 * * [simplify]: Extracting #0: cost 1 inf + 0 8.735 * * [simplify]: Extracting #1: cost 5 inf + 0 8.737 * * [simplify]: Extracting #2: cost 7 inf + 1 8.737 * * [simplify]: Extracting #3: cost 15 inf + 1 8.738 * * [simplify]: Extracting #4: cost 21 inf + 3 8.738 * * [simplify]: Extracting #5: cost 25 inf + 3 8.738 * * [simplify]: Extracting #6: cost 20 inf + 354 8.739 * * [simplify]: Extracting #7: cost 9 inf + 2192 8.740 * * [simplify]: Extracting #8: cost 2 inf + 3478 8.742 * * [simplify]: Extracting #9: cost 0 inf + 3874 8.743 * [simplify]: Simplified to (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 8.743 * [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)))))) 8.744 * [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)))) 8.744 * * [simplify]: iters left: 6 (13 enodes) 8.747 * * [simplify]: iters left: 5 (41 enodes) 8.755 * * [simplify]: iters left: 4 (60 enodes) 8.763 * * [simplify]: iters left: 3 (71 enodes) 8.776 * * [simplify]: iters left: 2 (81 enodes) 8.797 * * [simplify]: iters left: 1 (87 enodes) 8.819 * * [simplify]: Extracting #0: cost 1 inf + 0 8.819 * * [simplify]: Extracting #1: cost 4 inf + 0 8.819 * * [simplify]: Extracting #2: cost 9 inf + 0 8.819 * * [simplify]: Extracting #3: cost 17 inf + 1 8.819 * * [simplify]: Extracting #4: cost 22 inf + 3 8.819 * * [simplify]: Extracting #5: cost 25 inf + 3 8.819 * * [simplify]: Extracting #6: cost 19 inf + 493 8.821 * * [simplify]: Extracting #7: cost 10 inf + 1694 8.822 * * [simplify]: Extracting #8: cost 3 inf + 3301 8.823 * * [simplify]: Extracting #9: cost 0 inf + 4116 8.825 * [simplify]: Simplified to (/ (cbrt (- (/ -1/2 (hypot 1 x)) -1/2)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 8.825 * [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 (hypot 1 x)) -1/2)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 8.825 * * * * [progress]: [ 91 / 169 ] simplifiying candidate # 8.826 * [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)) 8.826 * * [simplify]: iters left: 6 (14 enodes) 8.835 * * [simplify]: iters left: 5 (45 enodes) 8.849 * * [simplify]: iters left: 4 (68 enodes) 8.870 * * [simplify]: iters left: 3 (81 enodes) 8.892 * * [simplify]: iters left: 2 (92 enodes) 8.915 * * [simplify]: iters left: 1 (98 enodes) 8.939 * * [simplify]: Extracting #0: cost 1 inf + 0 8.939 * * [simplify]: Extracting #1: cost 5 inf + 0 8.939 * * [simplify]: Extracting #2: cost 7 inf + 1 8.939 * * [simplify]: Extracting #3: cost 15 inf + 1 8.939 * * [simplify]: Extracting #4: cost 21 inf + 3 8.939 * * [simplify]: Extracting #5: cost 25 inf + 3 8.940 * * [simplify]: Extracting #6: cost 19 inf + 493 8.941 * * [simplify]: Extracting #7: cost 6 inf + 2566 8.942 * * [simplify]: Extracting #8: cost 1 inf + 3656 8.944 * * [simplify]: Extracting #9: cost 0 inf + 3874 8.945 * [simplify]: Simplified to (* (cbrt (- (/ -1/2 (hypot 1 x)) -1/2)) (cbrt (- (/ -1/2 (hypot 1 x)) -1/2))) 8.945 * [simplify]: Simplified (2 1) to (λ (x) (* (* (cbrt (- (/ -1/2 (hypot 1 x)) -1/2)) (cbrt (- (/ -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)))))) 8.946 * [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)))) 8.946 * * [simplify]: iters left: 6 (14 enodes) 8.954 * * [simplify]: iters left: 5 (44 enodes) 8.968 * * [simplify]: iters left: 4 (63 enodes) 8.977 * * [simplify]: iters left: 3 (74 enodes) 8.989 * * [simplify]: iters left: 2 (84 enodes) 9.007 * * [simplify]: iters left: 1 (90 enodes) 9.021 * * [simplify]: Extracting #0: cost 1 inf + 0 9.021 * * [simplify]: Extracting #1: cost 4 inf + 0 9.021 * * [simplify]: Extracting #2: cost 9 inf + 0 9.021 * * [simplify]: Extracting #3: cost 17 inf + 1 9.021 * * [simplify]: Extracting #4: cost 22 inf + 3 9.021 * * [simplify]: Extracting #5: cost 25 inf + 3 9.021 * * [simplify]: Extracting #6: cost 20 inf + 354 9.021 * * [simplify]: Extracting #7: cost 11 inf + 1636 9.022 * * [simplify]: Extracting #8: cost 2 inf + 3438 9.023 * * [simplify]: Extracting #9: cost 0 inf + 4034 9.024 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 9.024 * [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)))))) 9.024 * * * * [progress]: [ 92 / 169 ] simplifiying candidate # 9.024 * [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)) 9.024 * * [simplify]: iters left: 6 (14 enodes) 9.028 * * [simplify]: iters left: 5 (45 enodes) 9.036 * * [simplify]: iters left: 4 (68 enodes) 9.052 * * [simplify]: iters left: 3 (81 enodes) 9.074 * * [simplify]: iters left: 2 (92 enodes) 9.098 * * [simplify]: iters left: 1 (98 enodes) 9.121 * * [simplify]: Extracting #0: cost 1 inf + 0 9.121 * * [simplify]: Extracting #1: cost 5 inf + 0 9.121 * * [simplify]: Extracting #2: cost 7 inf + 1 9.121 * * [simplify]: Extracting #3: cost 15 inf + 1 9.121 * * [simplify]: Extracting #4: cost 21 inf + 3 9.121 * * [simplify]: Extracting #5: cost 25 inf + 3 9.122 * * [simplify]: Extracting #6: cost 19 inf + 493 9.123 * * [simplify]: Extracting #7: cost 6 inf + 2566 9.126 * * [simplify]: Extracting #8: cost 1 inf + 3656 9.126 * * [simplify]: Extracting #9: cost 0 inf + 3874 9.127 * [simplify]: Simplified to (* (cbrt (- (/ -1/2 (hypot 1 x)) -1/2)) (cbrt (- (/ -1/2 (hypot 1 x)) -1/2))) 9.127 * [simplify]: Simplified (2 1) to (λ (x) (* (* (cbrt (- (/ -1/2 (hypot 1 x)) -1/2)) (cbrt (- (/ -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)))))) 9.128 * [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)))) 9.128 * * [simplify]: iters left: 6 (14 enodes) 9.132 * * [simplify]: iters left: 5 (44 enodes) 9.140 * * [simplify]: iters left: 4 (63 enodes) 9.148 * * [simplify]: iters left: 3 (74 enodes) 9.165 * * [simplify]: iters left: 2 (84 enodes) 9.187 * * [simplify]: iters left: 1 (90 enodes) 9.201 * * [simplify]: Extracting #0: cost 1 inf + 0 9.201 * * [simplify]: Extracting #1: cost 4 inf + 0 9.201 * * [simplify]: Extracting #2: cost 9 inf + 0 9.201 * * [simplify]: Extracting #3: cost 17 inf + 1 9.201 * * [simplify]: Extracting #4: cost 22 inf + 3 9.201 * * [simplify]: Extracting #5: cost 25 inf + 3 9.201 * * [simplify]: Extracting #6: cost 20 inf + 354 9.202 * * [simplify]: Extracting #7: cost 11 inf + 1636 9.202 * * [simplify]: Extracting #8: cost 2 inf + 3438 9.203 * * [simplify]: Extracting #9: cost 0 inf + 4034 9.204 * [simplify]: Simplified to (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 9.204 * [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)))))) 9.204 * * * * [progress]: [ 93 / 169 ] simplifiying candidate # 9.204 * [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) 9.204 * * [simplify]: iters left: 6 (13 enodes) 9.208 * * [simplify]: iters left: 5 (40 enodes) 9.215 * * [simplify]: iters left: 4 (65 enodes) 9.230 * * [simplify]: iters left: 3 (77 enodes) 9.242 * * [simplify]: iters left: 2 (87 enodes) 9.253 * * [simplify]: iters left: 1 (93 enodes) 9.274 * * [simplify]: Extracting #0: cost 1 inf + 0 9.274 * * [simplify]: Extracting #1: cost 5 inf + 0 9.274 * * [simplify]: Extracting #2: cost 7 inf + 1 9.274 * * [simplify]: Extracting #3: cost 15 inf + 1 9.274 * * [simplify]: Extracting #4: cost 21 inf + 3 9.274 * * [simplify]: Extracting #5: cost 25 inf + 3 9.274 * * [simplify]: Extracting #6: cost 20 inf + 354 9.275 * * [simplify]: Extracting #7: cost 9 inf + 2192 9.277 * * [simplify]: Extracting #8: cost 2 inf + 3478 9.279 * * [simplify]: Extracting #9: cost 0 inf + 3874 9.281 * [simplify]: Simplified to (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 9.281 * [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)))))) 9.281 * [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)))) 9.282 * * [simplify]: iters left: 6 (13 enodes) 9.288 * * [simplify]: iters left: 5 (41 enodes) 9.295 * * [simplify]: iters left: 4 (60 enodes) 9.304 * * [simplify]: iters left: 3 (71 enodes) 9.321 * * [simplify]: iters left: 2 (81 enodes) 9.342 * * [simplify]: iters left: 1 (87 enodes) 9.353 * * [simplify]: Extracting #0: cost 1 inf + 0 9.353 * * [simplify]: Extracting #1: cost 4 inf + 0 9.353 * * [simplify]: Extracting #2: cost 9 inf + 0 9.353 * * [simplify]: Extracting #3: cost 17 inf + 1 9.353 * * [simplify]: Extracting #4: cost 22 inf + 3 9.354 * * [simplify]: Extracting #5: cost 25 inf + 3 9.354 * * [simplify]: Extracting #6: cost 19 inf + 493 9.354 * * [simplify]: Extracting #7: cost 10 inf + 1694 9.355 * * [simplify]: Extracting #8: cost 3 inf + 3301 9.356 * * [simplify]: Extracting #9: cost 0 inf + 4116 9.357 * [simplify]: Simplified to (/ (cbrt (- (/ -1/2 (hypot 1 x)) -1/2)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 9.357 * [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 (hypot 1 x)) -1/2)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 9.358 * * * * [progress]: [ 94 / 169 ] simplifiying candidate # 9.358 * [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)))))) 9.358 * * [simplify]: iters left: 6 (15 enodes) 9.365 * * [simplify]: iters left: 5 (49 enodes) 9.381 * * [simplify]: iters left: 4 (70 enodes) 9.400 * * [simplify]: iters left: 3 (81 enodes) 9.414 * * [simplify]: iters left: 2 (91 enodes) 9.426 * * [simplify]: iters left: 1 (97 enodes) 9.440 * * [simplify]: Extracting #0: cost 1 inf + 0 9.440 * * [simplify]: Extracting #1: cost 6 inf + 0 9.440 * * [simplify]: Extracting #2: cost 12 inf + 0 9.440 * * [simplify]: Extracting #3: cost 23 inf + 0 9.440 * * [simplify]: Extracting #4: cost 28 inf + 3 9.440 * * [simplify]: Extracting #5: cost 31 inf + 3 9.440 * * [simplify]: Extracting #6: cost 26 inf + 395 9.441 * * [simplify]: Extracting #7: cost 14 inf + 1970 9.442 * * [simplify]: Extracting #8: cost 7 inf + 3736 9.443 * * [simplify]: Extracting #9: cost 1 inf + 5927 9.445 * * [simplify]: Extracting #10: cost 0 inf + 6386 9.447 * [simplify]: Simplified to (/ (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)))))) 9.447 * [simplify]: Simplified (2 1) to (λ (x) (* (/ (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 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))))))) 9.447 * [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))))) 9.447 * * [simplify]: iters left: 6 (14 enodes) 9.451 * * [simplify]: iters left: 5 (44 enodes) 9.459 * * [simplify]: iters left: 4 (63 enodes) 9.477 * * [simplify]: iters left: 3 (74 enodes) 9.497 * * [simplify]: iters left: 2 (84 enodes) 9.520 * * [simplify]: iters left: 1 (90 enodes) 9.543 * * [simplify]: Extracting #0: cost 1 inf + 0 9.543 * * [simplify]: Extracting #1: cost 4 inf + 0 9.543 * * [simplify]: Extracting #2: cost 8 inf + 0 9.543 * * [simplify]: Extracting #3: cost 19 inf + 0 9.543 * * [simplify]: Extracting #4: cost 24 inf + 3 9.543 * * [simplify]: Extracting #5: cost 27 inf + 3 9.543 * * [simplify]: Extracting #6: cost 22 inf + 354 9.544 * * [simplify]: Extracting #7: cost 13 inf + 1556 9.546 * * [simplify]: Extracting #8: cost 3 inf + 3696 9.547 * * [simplify]: Extracting #9: cost 0 inf + 4630 9.549 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 9.549 * [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))))))) 9.549 * * * * [progress]: [ 95 / 169 ] simplifiying candidate # 9.550 * [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))))) 9.550 * * [simplify]: iters left: 6 (14 enodes) 9.557 * * [simplify]: iters left: 5 (44 enodes) 9.571 * * [simplify]: iters left: 4 (63 enodes) 9.589 * * [simplify]: iters left: 3 (74 enodes) 9.600 * * [simplify]: iters left: 2 (84 enodes) 9.612 * * [simplify]: iters left: 1 (90 enodes) 9.626 * * [simplify]: Extracting #0: cost 1 inf + 0 9.626 * * [simplify]: Extracting #1: cost 4 inf + 0 9.626 * * [simplify]: Extracting #2: cost 8 inf + 0 9.626 * * [simplify]: Extracting #3: cost 19 inf + 0 9.626 * * [simplify]: Extracting #4: cost 24 inf + 3 9.627 * * [simplify]: Extracting #5: cost 27 inf + 3 9.627 * * [simplify]: Extracting #6: cost 22 inf + 354 9.628 * * [simplify]: Extracting #7: cost 13 inf + 1556 9.629 * * [simplify]: Extracting #8: cost 3 inf + 3616 9.631 * * [simplify]: Extracting #9: cost 0 inf + 4470 9.633 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 9.633 * [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))))))) 9.633 * [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))))) 9.633 * * [simplify]: iters left: 6 (14 enodes) 9.640 * * [simplify]: iters left: 5 (44 enodes) 9.655 * * [simplify]: iters left: 4 (63 enodes) 9.671 * * [simplify]: iters left: 3 (74 enodes) 9.692 * * [simplify]: iters left: 2 (84 enodes) 9.717 * * [simplify]: iters left: 1 (90 enodes) 9.730 * * [simplify]: Extracting #0: cost 1 inf + 0 9.730 * * [simplify]: Extracting #1: cost 4 inf + 0 9.730 * * [simplify]: Extracting #2: cost 8 inf + 0 9.731 * * [simplify]: Extracting #3: cost 19 inf + 0 9.731 * * [simplify]: Extracting #4: cost 24 inf + 3 9.731 * * [simplify]: Extracting #5: cost 27 inf + 3 9.731 * * [simplify]: Extracting #6: cost 22 inf + 354 9.731 * * [simplify]: Extracting #7: cost 13 inf + 1556 9.732 * * [simplify]: Extracting #8: cost 3 inf + 3616 9.733 * * [simplify]: Extracting #9: cost 0 inf + 4470 9.734 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 9.734 * [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))))))) 9.734 * * * * [progress]: [ 96 / 169 ] simplifiying candidate # 9.734 * [simplify]: Simplifying (/ (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1) 9.734 * * [simplify]: iters left: 6 (12 enodes) 9.738 * * [simplify]: iters left: 5 (35 enodes) 9.744 * * [simplify]: iters left: 4 (54 enodes) 9.756 * * [simplify]: iters left: 3 (65 enodes) 9.775 * * [simplify]: iters left: 2 (76 enodes) 9.794 * * [simplify]: iters left: 1 (82 enodes) 9.814 * * [simplify]: Extracting #0: cost 1 inf + 0 9.814 * * [simplify]: Extracting #1: cost 4 inf + 0 9.814 * * [simplify]: Extracting #2: cost 11 inf + 1 9.814 * * [simplify]: Extracting #3: cost 17 inf + 3 9.814 * * [simplify]: Extracting #4: cost 21 inf + 3 9.814 * * [simplify]: Extracting #5: cost 14 inf + 630 9.815 * * [simplify]: Extracting #6: cost 5 inf + 1832 9.816 * * [simplify]: Extracting #7: cost 2 inf + 2326 9.817 * * [simplify]: Extracting #8: cost 0 inf + 2762 9.819 * [simplify]: Simplified to (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 9.819 * [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)))))) 9.819 * [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)))) 9.819 * * [simplify]: iters left: 6 (13 enodes) 9.826 * * [simplify]: iters left: 5 (41 enodes) 9.840 * * [simplify]: iters left: 4 (60 enodes) 9.856 * * [simplify]: iters left: 3 (71 enodes) 9.867 * * [simplify]: iters left: 2 (81 enodes) 9.879 * * [simplify]: iters left: 1 (87 enodes) 9.900 * * [simplify]: Extracting #0: cost 1 inf + 0 9.900 * * [simplify]: Extracting #1: cost 4 inf + 0 9.900 * * [simplify]: Extracting #2: cost 9 inf + 0 9.900 * * [simplify]: Extracting #3: cost 17 inf + 1 9.900 * * [simplify]: Extracting #4: cost 22 inf + 3 9.900 * * [simplify]: Extracting #5: cost 25 inf + 3 9.901 * * [simplify]: Extracting #6: cost 19 inf + 493 9.901 * * [simplify]: Extracting #7: cost 10 inf + 1654 9.902 * * [simplify]: Extracting #8: cost 3 inf + 3181 9.902 * * [simplify]: Extracting #9: cost 0 inf + 3956 9.903 * [simplify]: Simplified to (/ (sqrt (- (/ -1/2 (hypot 1 x)) -1/2)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 9.903 * [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 (hypot 1 x)) -1/2)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 9.903 * * * * [progress]: [ 97 / 169 ] simplifiying candidate # 9.904 * [simplify]: Simplifying (/ (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt 1)) 9.904 * * [simplify]: iters left: 6 (13 enodes) 9.909 * * [simplify]: iters left: 5 (40 enodes) 9.916 * * [simplify]: iters left: 4 (59 enodes) 9.924 * * [simplify]: iters left: 3 (70 enodes) 9.939 * * [simplify]: iters left: 2 (80 enodes) 9.964 * * [simplify]: iters left: 1 (86 enodes) 9.984 * * [simplify]: Extracting #0: cost 1 inf + 0 9.984 * * [simplify]: Extracting #1: cost 4 inf + 0 9.984 * * [simplify]: Extracting #2: cost 11 inf + 1 9.985 * * [simplify]: Extracting #3: cost 17 inf + 3 9.985 * * [simplify]: Extracting #4: cost 21 inf + 3 9.985 * * [simplify]: Extracting #5: cost 17 inf + 297 9.986 * * [simplify]: Extracting #6: cost 8 inf + 1418 9.987 * * [simplify]: Extracting #7: cost 1 inf + 2584 9.988 * * [simplify]: Extracting #8: cost 0 inf + 2762 9.989 * [simplify]: Simplified to (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 9.989 * [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)))))) 9.990 * [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)))) 9.990 * * [simplify]: iters left: 6 (14 enodes) 9.997 * * [simplify]: iters left: 5 (44 enodes) 10.011 * * [simplify]: iters left: 4 (63 enodes) 10.028 * * [simplify]: iters left: 3 (74 enodes) 10.043 * * [simplify]: iters left: 2 (84 enodes) 10.055 * * [simplify]: iters left: 1 (90 enodes) 10.066 * * [simplify]: Extracting #0: cost 1 inf + 0 10.066 * * [simplify]: Extracting #1: cost 4 inf + 0 10.066 * * [simplify]: Extracting #2: cost 9 inf + 0 10.066 * * [simplify]: Extracting #3: cost 17 inf + 1 10.067 * * [simplify]: Extracting #4: cost 22 inf + 3 10.067 * * [simplify]: Extracting #5: cost 25 inf + 3 10.067 * * [simplify]: Extracting #6: cost 20 inf + 354 10.067 * * [simplify]: Extracting #7: cost 11 inf + 1556 10.069 * * [simplify]: Extracting #8: cost 2 inf + 3318 10.070 * * [simplify]: Extracting #9: cost 0 inf + 3874 10.072 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 10.072 * [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)))))) 10.072 * * * * [progress]: [ 98 / 169 ] simplifiying candidate # 10.072 * [simplify]: Simplifying (/ (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt 1)) 10.073 * * [simplify]: iters left: 6 (13 enodes) 10.083 * * [simplify]: iters left: 5 (40 enodes) 10.096 * * [simplify]: iters left: 4 (59 enodes) 10.111 * * [simplify]: iters left: 3 (70 enodes) 10.131 * * [simplify]: iters left: 2 (80 enodes) 10.151 * * [simplify]: iters left: 1 (86 enodes) 10.172 * * [simplify]: Extracting #0: cost 1 inf + 0 10.172 * * [simplify]: Extracting #1: cost 4 inf + 0 10.172 * * [simplify]: Extracting #2: cost 11 inf + 1 10.172 * * [simplify]: Extracting #3: cost 17 inf + 3 10.172 * * [simplify]: Extracting #4: cost 21 inf + 3 10.172 * * [simplify]: Extracting #5: cost 17 inf + 297 10.173 * * [simplify]: Extracting #6: cost 8 inf + 1418 10.174 * * [simplify]: Extracting #7: cost 1 inf + 2584 10.175 * * [simplify]: Extracting #8: cost 0 inf + 2762 10.176 * [simplify]: Simplified to (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 10.177 * [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)))))) 10.177 * [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)))) 10.177 * * [simplify]: iters left: 6 (14 enodes) 10.185 * * [simplify]: iters left: 5 (44 enodes) 10.199 * * [simplify]: iters left: 4 (63 enodes) 10.216 * * [simplify]: iters left: 3 (74 enodes) 10.239 * * [simplify]: iters left: 2 (84 enodes) 10.261 * * [simplify]: iters left: 1 (90 enodes) 10.278 * * [simplify]: Extracting #0: cost 1 inf + 0 10.278 * * [simplify]: Extracting #1: cost 4 inf + 0 10.278 * * [simplify]: Extracting #2: cost 9 inf + 0 10.278 * * [simplify]: Extracting #3: cost 17 inf + 1 10.278 * * [simplify]: Extracting #4: cost 22 inf + 3 10.278 * * [simplify]: Extracting #5: cost 25 inf + 3 10.278 * * [simplify]: Extracting #6: cost 20 inf + 354 10.279 * * [simplify]: Extracting #7: cost 11 inf + 1556 10.279 * * [simplify]: Extracting #8: cost 2 inf + 3318 10.280 * * [simplify]: Extracting #9: cost 0 inf + 3874 10.281 * [simplify]: Simplified to (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 10.281 * [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)))))) 10.282 * * * * [progress]: [ 99 / 169 ] simplifiying candidate # 10.282 * [simplify]: Simplifying (/ (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1) 10.282 * * [simplify]: iters left: 6 (12 enodes) 10.286 * * [simplify]: iters left: 5 (35 enodes) 10.293 * * [simplify]: iters left: 4 (54 enodes) 10.300 * * [simplify]: iters left: 3 (65 enodes) 10.310 * * [simplify]: iters left: 2 (76 enodes) 10.322 * * [simplify]: iters left: 1 (82 enodes) 10.340 * * [simplify]: Extracting #0: cost 1 inf + 0 10.340 * * [simplify]: Extracting #1: cost 4 inf + 0 10.340 * * [simplify]: Extracting #2: cost 11 inf + 1 10.341 * * [simplify]: Extracting #3: cost 17 inf + 3 10.341 * * [simplify]: Extracting #4: cost 21 inf + 3 10.341 * * [simplify]: Extracting #5: cost 14 inf + 630 10.342 * * [simplify]: Extracting #6: cost 5 inf + 1832 10.343 * * [simplify]: Extracting #7: cost 2 inf + 2326 10.344 * * [simplify]: Extracting #8: cost 0 inf + 2762 10.348 * [simplify]: Simplified to (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 10.348 * [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)))))) 10.348 * [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)))) 10.349 * * [simplify]: iters left: 6 (13 enodes) 10.355 * * [simplify]: iters left: 5 (41 enodes) 10.368 * * [simplify]: iters left: 4 (60 enodes) 10.385 * * [simplify]: iters left: 3 (71 enodes) 10.404 * * [simplify]: iters left: 2 (81 enodes) 10.425 * * [simplify]: iters left: 1 (87 enodes) 10.447 * * [simplify]: Extracting #0: cost 1 inf + 0 10.447 * * [simplify]: Extracting #1: cost 4 inf + 0 10.447 * * [simplify]: Extracting #2: cost 9 inf + 0 10.447 * * [simplify]: Extracting #3: cost 17 inf + 1 10.447 * * [simplify]: Extracting #4: cost 22 inf + 3 10.447 * * [simplify]: Extracting #5: cost 25 inf + 3 10.448 * * [simplify]: Extracting #6: cost 19 inf + 493 10.448 * * [simplify]: Extracting #7: cost 10 inf + 1654 10.450 * * [simplify]: Extracting #8: cost 3 inf + 3181 10.451 * * [simplify]: Extracting #9: cost 0 inf + 3956 10.453 * [simplify]: Simplified to (/ (sqrt (- (/ -1/2 (hypot 1 x)) -1/2)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 10.453 * [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 (hypot 1 x)) -1/2)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 10.453 * * * * [progress]: [ 100 / 169 ] simplifiying candidate # 10.454 * [simplify]: Simplifying (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 10.454 * * [simplify]: iters left: 6 (11 enodes) 10.458 * * [simplify]: iters left: 5 (39 enodes) 10.464 * * [simplify]: iters left: 4 (43 enodes) 10.471 * * [simplify]: Extracting #0: cost 1 inf + 0 10.471 * * [simplify]: Extracting #1: cost 6 inf + 0 10.471 * * [simplify]: Extracting #2: cost 9 inf + 1 10.471 * * [simplify]: Extracting #3: cost 11 inf + 1 10.471 * * [simplify]: Extracting #4: cost 13 inf + 1 10.471 * * [simplify]: Extracting #5: cost 16 inf + 1 10.471 * * [simplify]: Extracting #6: cost 17 inf + 2 10.471 * * [simplify]: Extracting #7: cost 19 inf + 2 10.471 * * [simplify]: Extracting #8: cost 17 inf + 60 10.471 * * [simplify]: Extracting #9: cost 13 inf + 451 10.471 * * [simplify]: Extracting #10: cost 9 inf + 1163 10.472 * * [simplify]: Extracting #11: cost 5 inf + 2315 10.472 * * [simplify]: Extracting #12: cost 0 inf + 4085 10.473 * [simplify]: Simplified to (/ 1 (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 10.473 * [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))))))) 10.473 * [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))))) 10.473 * * [simplify]: iters left: 6 (13 enodes) 10.477 * * [simplify]: iters left: 5 (44 enodes) 10.488 * * [simplify]: iters left: 4 (73 enodes) 10.509 * * [simplify]: iters left: 3 (101 enodes) 10.528 * * [simplify]: iters left: 2 (138 enodes) 10.558 * * [simplify]: iters left: 1 (173 enodes) 10.582 * * [simplify]: Extracting #0: cost 1 inf + 0 10.582 * * [simplify]: Extracting #1: cost 22 inf + 0 10.582 * * [simplify]: Extracting #2: cost 54 inf + 0 10.584 * * [simplify]: Extracting #3: cost 66 inf + 3 10.584 * * [simplify]: Extracting #4: cost 55 inf + 1102 10.585 * * [simplify]: Extracting #5: cost 49 inf + 1970 10.587 * * [simplify]: Extracting #6: cost 21 inf + 11441 10.594 * * [simplify]: Extracting #7: cost 0 inf + 19498 10.602 * * [simplify]: Extracting #8: cost 0 inf + 19497 10.607 * [simplify]: Simplified to (- (/ 1 (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 10.607 * [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 (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 10.607 * * * * [progress]: [ 101 / 169 ] simplifiying candidate # 10.607 * [simplify]: Simplifying (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 10.607 * * [simplify]: iters left: 6 (10 enodes) 10.610 * * [simplify]: iters left: 5 (34 enodes) 10.616 * * [simplify]: iters left: 4 (36 enodes) 10.621 * * [simplify]: Extracting #0: cost 1 inf + 0 10.621 * * [simplify]: Extracting #1: cost 4 inf + 0 10.621 * * [simplify]: Extracting #2: cost 5 inf + 1 10.621 * * [simplify]: Extracting #3: cost 7 inf + 1 10.621 * * [simplify]: Extracting #4: cost 9 inf + 1 10.621 * * [simplify]: Extracting #5: cost 12 inf + 1 10.621 * * [simplify]: Extracting #6: cost 13 inf + 2 10.621 * * [simplify]: Extracting #7: cost 15 inf + 2 10.621 * * [simplify]: Extracting #8: cost 13 inf + 60 10.621 * * [simplify]: Extracting #9: cost 9 inf + 451 10.622 * * [simplify]: Extracting #10: cost 4 inf + 1381 10.622 * * [simplify]: Extracting #11: cost 0 inf + 2493 10.622 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 10.622 * [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))))))) 10.623 * [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))))) 10.623 * * [simplify]: iters left: 6 (13 enodes) 10.626 * * [simplify]: iters left: 5 (44 enodes) 10.636 * * [simplify]: iters left: 4 (73 enodes) 10.657 * * [simplify]: iters left: 3 (101 enodes) 10.675 * * [simplify]: iters left: 2 (138 enodes) 10.698 * * [simplify]: iters left: 1 (173 enodes) 10.742 * * [simplify]: Extracting #0: cost 1 inf + 0 10.742 * * [simplify]: Extracting #1: cost 22 inf + 0 10.743 * * [simplify]: Extracting #2: cost 54 inf + 0 10.743 * * [simplify]: Extracting #3: cost 66 inf + 3 10.744 * * [simplify]: Extracting #4: cost 55 inf + 1102 10.745 * * [simplify]: Extracting #5: cost 49 inf + 1970 10.748 * * [simplify]: Extracting #6: cost 21 inf + 10481 10.756 * * [simplify]: Extracting #7: cost 0 inf + 17698 10.764 * * [simplify]: Extracting #8: cost 0 inf + 17697 10.772 * [simplify]: Simplified to (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 10.772 * [simplify]: Simplified (2 2) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 10.772 * * * * [progress]: [ 102 / 169 ] simplifiying candidate # 10.772 * [simplify]: Simplifying (/ 1 1) 10.773 * * [simplify]: iters left: 2 (2 enodes) 10.774 * * [simplify]: iters left: 1 (6 enodes) 10.777 * * [simplify]: Extracting #0: cost 1 inf + 0 10.777 * * [simplify]: Extracting #1: cost 0 inf + 1 10.777 * [simplify]: Simplified to 1 10.777 * [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)))))) 10.777 * [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)))) 10.777 * * [simplify]: iters left: 6 (12 enodes) 10.784 * * [simplify]: iters left: 5 (41 enodes) 10.798 * * [simplify]: iters left: 4 (70 enodes) 10.813 * * [simplify]: iters left: 3 (98 enodes) 10.831 * * [simplify]: iters left: 2 (135 enodes) 10.853 * * [simplify]: iters left: 1 (170 enodes) 10.898 * * [simplify]: Extracting #0: cost 1 inf + 0 10.898 * * [simplify]: Extracting #1: cost 22 inf + 0 10.898 * * [simplify]: Extracting #2: cost 53 inf + 0 10.899 * * [simplify]: Extracting #3: cost 68 inf + 3 10.899 * * [simplify]: Extracting #4: cost 57 inf + 1021 10.901 * * [simplify]: Extracting #5: cost 49 inf + 2165 10.904 * * [simplify]: Extracting #6: cost 21 inf + 9592 10.910 * * [simplify]: Extracting #7: cost 0 inf + 16091 10.918 * [simplify]: Simplified to (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 10.918 * [simplify]: Simplified (2 2) to (λ (x) (* 1 (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 10.918 * * * * [progress]: [ 103 / 169 ] simplifiying candidate # 10.918 * [simplify]: Simplifying (/ 1 (sqrt 1)) 10.918 * * [simplify]: iters left: 3 (3 enodes) 10.925 * * [simplify]: iters left: 2 (11 enodes) 10.927 * * [simplify]: iters left: 1 (13 enodes) 10.931 * * [simplify]: Extracting #0: cost 1 inf + 0 10.931 * * [simplify]: Extracting #1: cost 0 inf + 1 10.931 * [simplify]: Simplified to 1 10.931 * [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)))))) 10.931 * [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)))) 10.931 * * [simplify]: iters left: 6 (13 enodes) 10.939 * * [simplify]: iters left: 5 (44 enodes) 10.957 * * [simplify]: iters left: 4 (73 enodes) 10.978 * * [simplify]: iters left: 3 (101 enodes) 11.006 * * [simplify]: iters left: 2 (138 enodes) 11.045 * * [simplify]: iters left: 1 (173 enodes) 11.088 * * [simplify]: Extracting #0: cost 1 inf + 0 11.088 * * [simplify]: Extracting #1: cost 22 inf + 0 11.088 * * [simplify]: Extracting #2: cost 53 inf + 0 11.088 * * [simplify]: Extracting #3: cost 68 inf + 3 11.089 * * [simplify]: Extracting #4: cost 57 inf + 1061 11.089 * * [simplify]: Extracting #5: cost 49 inf + 2164 11.091 * * [simplify]: Extracting #6: cost 21 inf + 9795 11.096 * * [simplify]: Extracting #7: cost 0 inf + 16092 11.100 * * [simplify]: Extracting #8: cost 0 inf + 16091 11.104 * [simplify]: Simplified to (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 11.104 * [simplify]: Simplified (2 2) to (λ (x) (* 1 (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 11.104 * * * * [progress]: [ 104 / 169 ] simplifiying candidate # 11.104 * [simplify]: Simplifying (/ 1 (sqrt 1)) 11.104 * * [simplify]: iters left: 3 (3 enodes) 11.108 * * [simplify]: iters left: 2 (11 enodes) 11.110 * * [simplify]: iters left: 1 (13 enodes) 11.112 * * [simplify]: Extracting #0: cost 1 inf + 0 11.112 * * [simplify]: Extracting #1: cost 0 inf + 1 11.112 * [simplify]: Simplified to 1 11.112 * [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)))))) 11.112 * [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)))) 11.112 * * [simplify]: iters left: 6 (13 enodes) 11.121 * * [simplify]: iters left: 5 (44 enodes) 11.136 * * [simplify]: iters left: 4 (73 enodes) 11.153 * * [simplify]: iters left: 3 (101 enodes) 11.169 * * [simplify]: iters left: 2 (138 enodes) 11.196 * * [simplify]: iters left: 1 (173 enodes) 11.222 * * [simplify]: Extracting #0: cost 1 inf + 0 11.222 * * [simplify]: Extracting #1: cost 22 inf + 0 11.222 * * [simplify]: Extracting #2: cost 53 inf + 0 11.222 * * [simplify]: Extracting #3: cost 68 inf + 3 11.223 * * [simplify]: Extracting #4: cost 57 inf + 1061 11.223 * * [simplify]: Extracting #5: cost 49 inf + 2164 11.225 * * [simplify]: Extracting #6: cost 21 inf + 9795 11.229 * * [simplify]: Extracting #7: cost 0 inf + 16092 11.233 * * [simplify]: Extracting #8: cost 0 inf + 16091 11.237 * [simplify]: Simplified to (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 11.237 * [simplify]: Simplified (2 2) to (λ (x) (* 1 (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 11.237 * * * * [progress]: [ 105 / 169 ] simplifiying candidate # 11.238 * [simplify]: Simplifying (/ 1 1) 11.238 * * [simplify]: iters left: 2 (2 enodes) 11.239 * * [simplify]: iters left: 1 (6 enodes) 11.240 * * [simplify]: Extracting #0: cost 1 inf + 0 11.240 * * [simplify]: Extracting #1: cost 0 inf + 1 11.240 * [simplify]: Simplified to 1 11.240 * [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)))))) 11.241 * [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)))) 11.241 * * [simplify]: iters left: 6 (12 enodes) 11.245 * * [simplify]: iters left: 5 (41 enodes) 11.259 * * [simplify]: iters left: 4 (70 enodes) 11.270 * * [simplify]: iters left: 3 (98 enodes) 11.288 * * [simplify]: iters left: 2 (135 enodes) 11.314 * * [simplify]: iters left: 1 (170 enodes) 11.350 * * [simplify]: Extracting #0: cost 1 inf + 0 11.351 * * [simplify]: Extracting #1: cost 22 inf + 0 11.351 * * [simplify]: Extracting #2: cost 53 inf + 0 11.351 * * [simplify]: Extracting #3: cost 68 inf + 3 11.352 * * [simplify]: Extracting #4: cost 57 inf + 1021 11.353 * * [simplify]: Extracting #5: cost 49 inf + 2165 11.356 * * [simplify]: Extracting #6: cost 21 inf + 9592 11.362 * * [simplify]: Extracting #7: cost 0 inf + 16091 11.370 * [simplify]: Simplified to (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 11.370 * [simplify]: Simplified (2 2) to (λ (x) (* 1 (- (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 11.370 * * * * [progress]: [ 106 / 169 ] simplifiying candidate # 11.371 * [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)))))) 11.371 * * [simplify]: iters left: 6 (11 enodes) 11.376 * * [simplify]: iters left: 5 (39 enodes) 11.388 * * [simplify]: iters left: 4 (43 enodes) 11.401 * * [simplify]: Extracting #0: cost 1 inf + 0 11.401 * * [simplify]: Extracting #1: cost 6 inf + 0 11.401 * * [simplify]: Extracting #2: cost 12 inf + 0 11.401 * * [simplify]: Extracting #3: cost 13 inf + 1 11.401 * * [simplify]: Extracting #4: cost 16 inf + 1 11.401 * * [simplify]: Extracting #5: cost 17 inf + 2 11.401 * * [simplify]: Extracting #6: cost 19 inf + 2 11.401 * * [simplify]: Extracting #7: cost 17 inf + 60 11.401 * * [simplify]: Extracting #8: cost 13 inf + 451 11.402 * * [simplify]: Extracting #9: cost 9 inf + 1163 11.402 * * [simplify]: Extracting #10: cost 5 inf + 2315 11.404 * * [simplify]: Extracting #11: cost 0 inf + 4085 11.405 * [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)))))))) 11.405 * [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))))))) 11.405 * [simplify]: Simplifying (/ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 11.406 * * [simplify]: iters left: 6 (11 enodes) 11.412 * * [simplify]: iters left: 5 (42 enodes) 11.425 * * [simplify]: iters left: 4 (53 enodes) 11.442 * * [simplify]: iters left: 3 (57 enodes) 11.455 * * [simplify]: Extracting #0: cost 1 inf + 0 11.455 * * [simplify]: Extracting #1: cost 7 inf + 0 11.455 * * [simplify]: Extracting #2: cost 16 inf + 0 11.455 * * [simplify]: Extracting #3: cost 19 inf + 1 11.455 * * [simplify]: Extracting #4: cost 22 inf + 1 11.455 * * [simplify]: Extracting #5: cost 23 inf + 2 11.456 * * [simplify]: Extracting #6: cost 25 inf + 2 11.456 * * [simplify]: Extracting #7: cost 19 inf + 451 11.456 * * [simplify]: Extracting #8: cost 9 inf + 2671 11.457 * * [simplify]: Extracting #9: cost 2 inf + 4997 11.458 * * [simplify]: Extracting #10: cost 0 inf + 5713 11.459 * [simplify]: Simplified to (/ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 11.459 * [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))))))))) 11.459 * * * * [progress]: [ 107 / 169 ] simplifiying candidate # 11.459 * [simplify]: Simplifying (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 11.459 * * [simplify]: iters left: 6 (10 enodes) 11.462 * * [simplify]: iters left: 5 (34 enodes) 11.467 * * [simplify]: iters left: 4 (36 enodes) 11.473 * * [simplify]: Extracting #0: cost 1 inf + 0 11.473 * * [simplify]: Extracting #1: cost 4 inf + 0 11.473 * * [simplify]: Extracting #2: cost 8 inf + 0 11.473 * * [simplify]: Extracting #3: cost 9 inf + 1 11.473 * * [simplify]: Extracting #4: cost 12 inf + 1 11.473 * * [simplify]: Extracting #5: cost 13 inf + 2 11.473 * * [simplify]: Extracting #6: cost 15 inf + 2 11.473 * * [simplify]: Extracting #7: cost 13 inf + 60 11.473 * * [simplify]: Extracting #8: cost 9 inf + 451 11.473 * * [simplify]: Extracting #9: cost 4 inf + 1381 11.474 * * [simplify]: Extracting #10: cost 0 inf + 2493 11.474 * [simplify]: Simplified to (/ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 11.474 * [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))))))) 11.475 * [simplify]: Simplifying (/ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 11.475 * * [simplify]: iters left: 6 (11 enodes) 11.478 * * [simplify]: iters left: 5 (42 enodes) 11.489 * * [simplify]: iters left: 4 (53 enodes) 11.503 * * [simplify]: iters left: 3 (57 enodes) 11.520 * * [simplify]: Extracting #0: cost 1 inf + 0 11.520 * * [simplify]: Extracting #1: cost 7 inf + 0 11.520 * * [simplify]: Extracting #2: cost 16 inf + 0 11.520 * * [simplify]: Extracting #3: cost 19 inf + 1 11.520 * * [simplify]: Extracting #4: cost 22 inf + 1 11.520 * * [simplify]: Extracting #5: cost 23 inf + 2 11.520 * * [simplify]: Extracting #6: cost 25 inf + 2 11.521 * * [simplify]: Extracting #7: cost 19 inf + 451 11.521 * * [simplify]: Extracting #8: cost 9 inf + 2591 11.523 * * [simplify]: Extracting #9: cost 2 inf + 4677 11.524 * * [simplify]: Extracting #10: cost 0 inf + 5313 11.526 * [simplify]: Simplified to (/ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 11.526 * [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))))))))) 11.526 * * * * [progress]: [ 108 / 169 ] simplifiying candidate # 11.527 * [simplify]: Simplifying (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1) 11.527 * * [simplify]: iters left: 6 (9 enodes) 11.531 * * [simplify]: iters left: 5 (29 enodes) 11.540 * * [simplify]: iters left: 4 (31 enodes) 11.549 * * [simplify]: Extracting #0: cost 1 inf + 0 11.549 * * [simplify]: Extracting #1: cost 4 inf + 0 11.549 * * [simplify]: Extracting #2: cost 5 inf + 1 11.549 * * [simplify]: Extracting #3: cost 8 inf + 1 11.549 * * [simplify]: Extracting #4: cost 9 inf + 2 11.549 * * [simplify]: Extracting #5: cost 11 inf + 2 11.549 * * [simplify]: Extracting #6: cost 8 inf + 117 11.549 * * [simplify]: Extracting #7: cost 6 inf + 353 11.550 * * [simplify]: Extracting #8: cost 2 inf + 985 11.550 * * [simplify]: Extracting #9: cost 0 inf + 1381 11.551 * [simplify]: Simplified to (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 11.551 * [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)))))) 11.551 * [simplify]: Simplifying (/ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 11.551 * * [simplify]: iters left: 6 (10 enodes) 11.556 * * [simplify]: iters left: 5 (39 enodes) 11.569 * * [simplify]: iters left: 4 (50 enodes) 11.577 * * [simplify]: iters left: 3 (54 enodes) 11.584 * * [simplify]: Extracting #0: cost 1 inf + 0 11.585 * * [simplify]: Extracting #1: cost 7 inf + 0 11.585 * * [simplify]: Extracting #2: cost 15 inf + 0 11.585 * * [simplify]: Extracting #3: cost 17 inf + 1 11.585 * * [simplify]: Extracting #4: cost 20 inf + 1 11.585 * * [simplify]: Extracting #5: cost 21 inf + 2 11.585 * * [simplify]: Extracting #6: cost 23 inf + 2 11.585 * * [simplify]: Extracting #7: cost 18 inf + 353 11.585 * * [simplify]: Extracting #8: cost 4 inf + 3405 11.586 * * [simplify]: Extracting #9: cost 0 inf + 4477 11.587 * [simplify]: Simplified to (/ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 11.587 * [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)))))))) 11.587 * * * * [progress]: [ 109 / 169 ] simplifiying candidate # 11.587 * [simplify]: Simplifying (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1)) 11.587 * * [simplify]: iters left: 6 (10 enodes) 11.591 * * [simplify]: iters left: 5 (34 enodes) 11.600 * * [simplify]: iters left: 4 (36 enodes) 11.610 * * [simplify]: iters left: 3 (38 enodes) 11.620 * * [simplify]: Extracting #0: cost 1 inf + 0 11.620 * * [simplify]: Extracting #1: cost 4 inf + 0 11.620 * * [simplify]: Extracting #2: cost 5 inf + 1 11.620 * * [simplify]: Extracting #3: cost 8 inf + 1 11.620 * * [simplify]: Extracting #4: cost 9 inf + 2 11.620 * * [simplify]: Extracting #5: cost 11 inf + 2 11.620 * * [simplify]: Extracting #6: cost 9 inf + 60 11.620 * * [simplify]: Extracting #7: cost 5 inf + 451 11.621 * * [simplify]: Extracting #8: cost 0 inf + 1381 11.621 * [simplify]: Simplified to (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 11.621 * [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)))))) 11.622 * [simplify]: Simplifying (/ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 11.622 * * [simplify]: iters left: 6 (11 enodes) 11.629 * * [simplify]: iters left: 5 (42 enodes) 11.641 * * [simplify]: iters left: 4 (53 enodes) 11.656 * * [simplify]: iters left: 3 (57 enodes) 11.672 * * [simplify]: Extracting #0: cost 1 inf + 0 11.672 * * [simplify]: Extracting #1: cost 7 inf + 0 11.672 * * [simplify]: Extracting #2: cost 15 inf + 0 11.672 * * [simplify]: Extracting #3: cost 17 inf + 1 11.672 * * [simplify]: Extracting #4: cost 20 inf + 1 11.672 * * [simplify]: Extracting #5: cost 21 inf + 2 11.672 * * [simplify]: Extracting #6: cost 23 inf + 2 11.673 * * [simplify]: Extracting #7: cost 17 inf + 451 11.673 * * [simplify]: Extracting #8: cost 9 inf + 2075 11.674 * * [simplify]: Extracting #9: cost 2 inf + 3921 11.676 * * [simplify]: Extracting #10: cost 0 inf + 4477 11.677 * [simplify]: Simplified to (/ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 11.677 * [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)))))))) 11.678 * * * * [progress]: [ 110 / 169 ] simplifiying candidate # 11.678 * [simplify]: Simplifying (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1)) 11.678 * * [simplify]: iters left: 6 (10 enodes) 11.683 * * [simplify]: iters left: 5 (34 enodes) 11.693 * * [simplify]: iters left: 4 (36 enodes) 11.706 * * [simplify]: iters left: 3 (38 enodes) 11.715 * * [simplify]: Extracting #0: cost 1 inf + 0 11.715 * * [simplify]: Extracting #1: cost 4 inf + 0 11.715 * * [simplify]: Extracting #2: cost 5 inf + 1 11.715 * * [simplify]: Extracting #3: cost 8 inf + 1 11.715 * * [simplify]: Extracting #4: cost 9 inf + 2 11.715 * * [simplify]: Extracting #5: cost 11 inf + 2 11.716 * * [simplify]: Extracting #6: cost 9 inf + 60 11.716 * * [simplify]: Extracting #7: cost 5 inf + 451 11.716 * * [simplify]: Extracting #8: cost 0 inf + 1381 11.717 * [simplify]: Simplified to (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 11.717 * [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)))))) 11.717 * [simplify]: Simplifying (/ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 11.717 * * [simplify]: iters left: 6 (11 enodes) 11.724 * * [simplify]: iters left: 5 (42 enodes) 11.731 * * [simplify]: iters left: 4 (53 enodes) 11.739 * * [simplify]: iters left: 3 (57 enodes) 11.747 * * [simplify]: Extracting #0: cost 1 inf + 0 11.747 * * [simplify]: Extracting #1: cost 7 inf + 0 11.747 * * [simplify]: Extracting #2: cost 15 inf + 0 11.747 * * [simplify]: Extracting #3: cost 17 inf + 1 11.747 * * [simplify]: Extracting #4: cost 20 inf + 1 11.748 * * [simplify]: Extracting #5: cost 21 inf + 2 11.748 * * [simplify]: Extracting #6: cost 23 inf + 2 11.748 * * [simplify]: Extracting #7: cost 17 inf + 451 11.748 * * [simplify]: Extracting #8: cost 9 inf + 2075 11.749 * * [simplify]: Extracting #9: cost 2 inf + 3921 11.749 * * [simplify]: Extracting #10: cost 0 inf + 4477 11.750 * [simplify]: Simplified to (/ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 11.750 * [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)))))))) 11.750 * * * * [progress]: [ 111 / 169 ] simplifiying candidate # 11.750 * [simplify]: Simplifying (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1) 11.751 * * [simplify]: iters left: 6 (9 enodes) 11.755 * * [simplify]: iters left: 5 (29 enodes) 11.764 * * [simplify]: iters left: 4 (31 enodes) 11.773 * * [simplify]: Extracting #0: cost 1 inf + 0 11.773 * * [simplify]: Extracting #1: cost 4 inf + 0 11.773 * * [simplify]: Extracting #2: cost 5 inf + 1 11.773 * * [simplify]: Extracting #3: cost 8 inf + 1 11.773 * * [simplify]: Extracting #4: cost 9 inf + 2 11.774 * * [simplify]: Extracting #5: cost 11 inf + 2 11.774 * * [simplify]: Extracting #6: cost 8 inf + 117 11.774 * * [simplify]: Extracting #7: cost 6 inf + 353 11.774 * * [simplify]: Extracting #8: cost 2 inf + 985 11.775 * * [simplify]: Extracting #9: cost 0 inf + 1381 11.775 * [simplify]: Simplified to (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 11.775 * [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)))))) 11.776 * [simplify]: Simplifying (/ (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 11.776 * * [simplify]: iters left: 6 (10 enodes) 11.781 * * [simplify]: iters left: 5 (39 enodes) 11.788 * * [simplify]: iters left: 4 (50 enodes) 11.796 * * [simplify]: iters left: 3 (54 enodes) 11.804 * * [simplify]: Extracting #0: cost 1 inf + 0 11.804 * * [simplify]: Extracting #1: cost 7 inf + 0 11.804 * * [simplify]: Extracting #2: cost 15 inf + 0 11.804 * * [simplify]: Extracting #3: cost 17 inf + 1 11.805 * * [simplify]: Extracting #4: cost 20 inf + 1 11.805 * * [simplify]: Extracting #5: cost 21 inf + 2 11.805 * * [simplify]: Extracting #6: cost 23 inf + 2 11.805 * * [simplify]: Extracting #7: cost 18 inf + 353 11.805 * * [simplify]: Extracting #8: cost 4 inf + 3405 11.806 * * [simplify]: Extracting #9: cost 0 inf + 4477 11.807 * [simplify]: Simplified to (/ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 11.807 * [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)))))))) 11.807 * * * * [progress]: [ 112 / 169 ] simplifiying candidate # 11.807 * * * * [progress]: [ 113 / 169 ] simplifiying candidate # 11.807 * * * * [progress]: [ 114 / 169 ] simplifiying candidate # 11.807 * * * * [progress]: [ 115 / 169 ] simplifiying candidate # 11.807 * [simplify]: Simplifying (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 11.807 * * [simplify]: iters left: 6 (9 enodes) 11.810 * * [simplify]: iters left: 5 (31 enodes) 11.821 * * [simplify]: iters left: 4 (33 enodes) 11.830 * * [simplify]: Extracting #0: cost 1 inf + 0 11.830 * * [simplify]: Extracting #1: cost 3 inf + 0 11.830 * * [simplify]: Extracting #2: cost 6 inf + 0 11.830 * * [simplify]: Extracting #3: cost 7 inf + 1 11.830 * * [simplify]: Extracting #4: cost 10 inf + 1 11.830 * * [simplify]: Extracting #5: cost 11 inf + 2 11.831 * * [simplify]: Extracting #6: cost 13 inf + 2 11.831 * * [simplify]: Extracting #7: cost 10 inf + 117 11.831 * * [simplify]: Extracting #8: cost 8 inf + 353 11.831 * * [simplify]: Extracting #9: cost 4 inf + 985 11.832 * * [simplify]: Extracting #10: cost 0 inf + 1977 11.832 * [simplify]: Simplified to (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 11.832 * [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)))))))) 11.832 * * * * [progress]: [ 116 / 169 ] simplifiying candidate # 11.832 * [simplify]: Simplifying (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 11.832 * * [simplify]: iters left: 6 (9 enodes) 11.835 * * [simplify]: iters left: 5 (31 enodes) 11.840 * * [simplify]: iters left: 4 (33 enodes) 11.845 * * [simplify]: Extracting #0: cost 1 inf + 0 11.845 * * [simplify]: Extracting #1: cost 3 inf + 0 11.845 * * [simplify]: Extracting #2: cost 6 inf + 0 11.845 * * [simplify]: Extracting #3: cost 7 inf + 1 11.845 * * [simplify]: Extracting #4: cost 10 inf + 1 11.845 * * [simplify]: Extracting #5: cost 11 inf + 2 11.845 * * [simplify]: Extracting #6: cost 13 inf + 2 11.845 * * [simplify]: Extracting #7: cost 10 inf + 117 11.845 * * [simplify]: Extracting #8: cost 8 inf + 353 11.845 * * [simplify]: Extracting #9: cost 4 inf + 985 11.846 * * [simplify]: Extracting #10: cost 0 inf + 1897 11.846 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 11.846 * [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)))))))) 11.846 * * * * [progress]: [ 117 / 169 ] simplifiying candidate # 11.846 * [simplify]: Simplifying (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 11.846 * * [simplify]: iters left: 6 (8 enodes) 11.849 * * [simplify]: iters left: 5 (28 enodes) 11.854 * * [simplify]: iters left: 4 (30 enodes) 11.859 * * [simplify]: Extracting #0: cost 1 inf + 0 11.859 * * [simplify]: Extracting #1: cost 4 inf + 0 11.859 * * [simplify]: Extracting #2: cost 5 inf + 1 11.859 * * [simplify]: Extracting #3: cost 8 inf + 1 11.859 * * [simplify]: Extracting #4: cost 9 inf + 2 11.859 * * [simplify]: Extracting #5: cost 11 inf + 2 11.859 * * [simplify]: Extracting #6: cost 9 inf + 60 11.859 * * [simplify]: Extracting #7: cost 5 inf + 451 11.859 * * [simplify]: Extracting #8: cost 1 inf + 1163 11.859 * * [simplify]: Extracting #9: cost 0 inf + 1381 11.860 * [simplify]: Simplified to (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 11.860 * [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))))))) 11.860 * * * * [progress]: [ 118 / 169 ] simplifiying candidate # 11.860 * [simplify]: Simplifying (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 11.860 * * [simplify]: iters left: 6 (9 enodes) 11.863 * * [simplify]: iters left: 5 (31 enodes) 11.872 * * [simplify]: iters left: 4 (33 enodes) 11.881 * * [simplify]: Extracting #0: cost 1 inf + 0 11.882 * * [simplify]: Extracting #1: cost 4 inf + 0 11.882 * * [simplify]: Extracting #2: cost 5 inf + 1 11.882 * * [simplify]: Extracting #3: cost 8 inf + 1 11.882 * * [simplify]: Extracting #4: cost 9 inf + 2 11.882 * * [simplify]: Extracting #5: cost 11 inf + 2 11.882 * * [simplify]: Extracting #6: cost 10 inf + 3 11.882 * * [simplify]: Extracting #7: cost 8 inf + 158 11.882 * * [simplify]: Extracting #8: cost 4 inf + 629 11.883 * * [simplify]: Extracting #9: cost 0 inf + 1381 11.883 * [simplify]: Simplified to (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 11.883 * [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))))) 11.884 * * * * [progress]: [ 119 / 169 ] simplifiying candidate # 11.884 * [simplify]: Simplifying (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 11.884 * * [simplify]: iters left: 6 (9 enodes) 11.889 * * [simplify]: iters left: 5 (31 enodes) 11.898 * * [simplify]: iters left: 4 (33 enodes) 11.907 * * [simplify]: Extracting #0: cost 1 inf + 0 11.907 * * [simplify]: Extracting #1: cost 4 inf + 0 11.907 * * [simplify]: Extracting #2: cost 5 inf + 1 11.908 * * [simplify]: Extracting #3: cost 8 inf + 1 11.908 * * [simplify]: Extracting #4: cost 9 inf + 2 11.908 * * [simplify]: Extracting #5: cost 11 inf + 2 11.908 * * [simplify]: Extracting #6: cost 10 inf + 3 11.908 * * [simplify]: Extracting #7: cost 8 inf + 158 11.908 * * [simplify]: Extracting #8: cost 4 inf + 629 11.909 * * [simplify]: Extracting #9: cost 0 inf + 1381 11.909 * [simplify]: Simplified to (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 11.909 * [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))))) 11.909 * * * * [progress]: [ 120 / 169 ] simplifiying candidate # 11.910 * [simplify]: Simplifying (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 11.910 * * [simplify]: iters left: 6 (8 enodes) 11.914 * * [simplify]: iters left: 5 (28 enodes) 11.922 * * [simplify]: iters left: 4 (30 enodes) 11.931 * * [simplify]: Extracting #0: cost 1 inf + 0 11.931 * * [simplify]: Extracting #1: cost 4 inf + 0 11.931 * * [simplify]: Extracting #2: cost 5 inf + 1 11.932 * * [simplify]: Extracting #3: cost 8 inf + 1 11.932 * * [simplify]: Extracting #4: cost 9 inf + 2 11.932 * * [simplify]: Extracting #5: cost 11 inf + 2 11.932 * * [simplify]: Extracting #6: cost 9 inf + 60 11.932 * * [simplify]: Extracting #7: cost 5 inf + 451 11.932 * * [simplify]: Extracting #8: cost 1 inf + 1163 11.933 * * [simplify]: Extracting #9: cost 0 inf + 1381 11.933 * [simplify]: Simplified to (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 11.933 * [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))))))) 11.934 * * * * [progress]: [ 121 / 169 ] simplifiying candidate # 11.934 * [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)))))) 11.934 * * [simplify]: iters left: 6 (12 enodes) 11.940 * * [simplify]: iters left: 5 (37 enodes) 11.952 * * [simplify]: iters left: 4 (56 enodes) 11.960 * * [simplify]: iters left: 3 (67 enodes) 11.969 * * [simplify]: iters left: 2 (77 enodes) 11.981 * * [simplify]: iters left: 1 (83 enodes) 11.996 * * [simplify]: Extracting #0: cost 1 inf + 0 11.996 * * [simplify]: Extracting #1: cost 3 inf + 0 11.996 * * [simplify]: Extracting #2: cost 5 inf + 0 11.996 * * [simplify]: Extracting #3: cost 14 inf + 0 11.996 * * [simplify]: Extracting #4: cost 19 inf + 3 11.996 * * [simplify]: Extracting #5: cost 23 inf + 3 11.996 * * [simplify]: Extracting #6: cost 15 inf + 688 11.997 * * [simplify]: Extracting #7: cost 5 inf + 2428 11.999 * * [simplify]: Extracting #8: cost 0 inf + 3358 12.000 * [simplify]: Simplified to (* (cbrt (- (/ -1/2 (hypot 1 x)) -1/2)) (cbrt (- (/ -1/2 (hypot 1 x)) -1/2))) 12.000 * [simplify]: Simplified (2 1) to (λ (x) (/ (* (cbrt (- (/ -1/2 (hypot 1 x)) -1/2)) (cbrt (- (/ -1/2 (hypot 1 x)) -1/2))) (/ (+ 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)))))))) 12.000 * * * * [progress]: [ 122 / 169 ] simplifiying candidate # 12.001 * [simplify]: Simplifying (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 12.001 * * [simplify]: iters left: 6 (11 enodes) 12.006 * * [simplify]: iters left: 5 (34 enodes) 12.018 * * [simplify]: iters left: 4 (53 enodes) 12.033 * * [simplify]: iters left: 3 (64 enodes) 12.051 * * [simplify]: iters left: 2 (74 enodes) 12.074 * * [simplify]: iters left: 1 (80 enodes) 12.094 * * [simplify]: Extracting #0: cost 1 inf + 0 12.094 * * [simplify]: Extracting #1: cost 3 inf + 0 12.094 * * [simplify]: Extracting #2: cost 12 inf + 0 12.095 * * [simplify]: Extracting #3: cost 17 inf + 3 12.095 * * [simplify]: Extracting #4: cost 21 inf + 3 12.095 * * [simplify]: Extracting #5: cost 14 inf + 631 12.096 * * [simplify]: Extracting #6: cost 4 inf + 1970 12.097 * * [simplify]: Extracting #7: cost 2 inf + 2366 12.098 * * [simplify]: Extracting #8: cost 0 inf + 2762 12.100 * [simplify]: Simplified to (sqrt (- (/ -1/2 (hypot 1 x)) -1/2)) 12.100 * [simplify]: Simplified (2 1) to (λ (x) (/ (sqrt (- (/ -1/2 (hypot 1 x)) -1/2)) (/ (+ 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)))))))) 12.100 * * * * [progress]: [ 123 / 169 ] simplifiying candidate # 12.100 * * * * [progress]: [ 124 / 169 ] simplifiying candidate # 12.100 * [simplify]: Simplifying (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 12.100 * * [simplify]: iters left: 6 (8 enodes) 12.105 * * [simplify]: iters left: 5 (28 enodes) 12.113 * * [simplify]: iters left: 4 (30 enodes) 12.122 * * [simplify]: Extracting #0: cost 1 inf + 0 12.122 * * [simplify]: Extracting #1: cost 4 inf + 0 12.122 * * [simplify]: Extracting #2: cost 5 inf + 1 12.122 * * [simplify]: Extracting #3: cost 8 inf + 1 12.122 * * [simplify]: Extracting #4: cost 9 inf + 2 12.122 * * [simplify]: Extracting #5: cost 11 inf + 2 12.122 * * [simplify]: Extracting #6: cost 9 inf + 60 12.122 * * [simplify]: Extracting #7: cost 5 inf + 451 12.123 * * [simplify]: Extracting #8: cost 1 inf + 1163 12.123 * * [simplify]: Extracting #9: cost 0 inf + 1381 12.124 * [simplify]: Simplified to (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 12.124 * [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)))))) 12.124 * * * * [progress]: [ 125 / 169 ] simplifiying candidate # 12.124 * [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))))) 12.124 * * [simplify]: iters left: 6 (12 enodes) 12.131 * * [simplify]: iters left: 5 (42 enodes) 12.140 * * [simplify]: iters left: 4 (83 enodes) 12.157 * * [simplify]: iters left: 3 (149 enodes) 12.218 * * [simplify]: iters left: 2 (229 enodes) 12.316 * * [simplify]: iters left: 1 (322 enodes) 12.410 * * [simplify]: Extracting #0: cost 1 inf + 0 12.410 * * [simplify]: Extracting #1: cost 38 inf + 0 12.410 * * [simplify]: Extracting #2: cost 57 inf + 6 12.410 * * [simplify]: Extracting #3: cost 59 inf + 6 12.411 * * [simplify]: Extracting #4: cost 49 inf + 1089 12.413 * * [simplify]: Extracting #5: cost 8 inf + 9519 12.416 * * [simplify]: Extracting #6: cost 0 inf + 11344 12.419 * [simplify]: Simplified to (+ 1 (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 12.420 * [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)))))) 12.420 * * * * [progress]: [ 126 / 169 ] simplifiying candidate # 12.420 * [simplify]: Simplifying (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 12.420 * * [simplify]: iters left: 6 (8 enodes) 12.423 * * [simplify]: iters left: 5 (29 enodes) 12.427 * * [simplify]: iters left: 4 (34 enodes) 12.433 * * [simplify]: Extracting #0: cost 1 inf + 0 12.433 * * [simplify]: Extracting #1: cost 5 inf + 0 12.433 * * [simplify]: Extracting #2: cost 7 inf + 1 12.433 * * [simplify]: Extracting #3: cost 10 inf + 1 12.433 * * [simplify]: Extracting #4: cost 11 inf + 2 12.433 * * [simplify]: Extracting #5: cost 13 inf + 2 12.433 * * [simplify]: Extracting #6: cost 11 inf + 60 12.433 * * [simplify]: Extracting #7: cost 7 inf + 451 12.434 * * [simplify]: Extracting #8: cost 0 inf + 1817 12.434 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 12.434 * [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))))))) 12.434 * * * * [progress]: [ 127 / 169 ] simplifiying candidate # 12.434 * [simplify]: Simplifying (- (pow (* 1 1) 3) (pow (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 3)) 12.435 * * [simplify]: iters left: 6 (13 enodes) 12.439 * * [simplify]: iters left: 5 (53 enodes) 12.449 * * [simplify]: iters left: 4 (119 enodes) 12.509 * * [simplify]: iters left: 3 (398 enodes) 12.771 * * [simplify]: Extracting #0: cost 1 inf + 0 12.771 * * [simplify]: Extracting #1: cost 13 inf + 0 12.772 * * [simplify]: Extracting #2: cost 172 inf + 1 12.774 * * [simplify]: Extracting #3: cost 300 inf + 5 12.777 * * [simplify]: Extracting #4: cost 269 inf + 4483 12.788 * * [simplify]: Extracting #5: cost 158 inf + 30577 12.816 * * [simplify]: Extracting #6: cost 30 inf + 74607 12.834 * * [simplify]: Extracting #7: cost 0 inf + 87682 12.856 * [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)))) 12.856 * [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))))))))) 12.856 * * * * [progress]: [ 128 / 169 ] simplifiying candidate # 12.857 * [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))))) 12.857 * * [simplify]: iters left: 6 (12 enodes) 12.864 * * [simplify]: iters left: 5 (39 enodes) 12.881 * * [simplify]: iters left: 4 (76 enodes) 12.915 * * [simplify]: iters left: 3 (198 enodes) 12.989 * * [simplify]: iters left: 2 (350 enodes) 13.140 * * [simplify]: Extracting #0: cost 1 inf + 0 13.140 * * [simplify]: Extracting #1: cost 33 inf + 0 13.141 * * [simplify]: Extracting #2: cost 114 inf + 2 13.142 * * [simplify]: Extracting #3: cost 144 inf + 7 13.143 * * [simplify]: Extracting #4: cost 136 inf + 362 13.147 * * [simplify]: Extracting #5: cost 84 inf + 8569 13.157 * * [simplify]: Extracting #6: cost 19 inf + 25197 13.170 * * [simplify]: Extracting #7: cost 3 inf + 31289 13.184 * * [simplify]: Extracting #8: cost 0 inf + 32867 13.198 * [simplify]: Simplified to (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))))) 13.198 * [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))))))) 13.199 * * * * [progress]: [ 129 / 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)))))))> 13.199 * * * * [progress]: [ 130 / 169 ] simplifiying candidate # 13.199 * * * * [progress]: [ 131 / 169 ] simplifiying candidate # 13.200 * [simplify]: Simplifying (- (log 1/2) (log (hypot 1 x))) 13.200 * * [simplify]: iters left: 4 (7 enodes) 13.204 * * [simplify]: iters left: 3 (25 enodes) 13.213 * * [simplify]: iters left: 2 (30 enodes) 13.223 * * [simplify]: Extracting #0: cost 1 inf + 0 13.223 * * [simplify]: Extracting #1: cost 5 inf + 0 13.223 * * [simplify]: Extracting #2: cost 10 inf + 0 13.223 * * [simplify]: Extracting #3: cost 12 inf + 1 13.223 * * [simplify]: Extracting #4: cost 8 inf + 145 13.223 * * [simplify]: Extracting #5: cost 5 inf + 496 13.224 * * [simplify]: Extracting #6: cost 1 inf + 1085 13.224 * * [simplify]: Extracting #7: cost 0 inf + 1323 13.224 * [simplify]: Simplified to (- (log 1/2) (log (hypot 1 x))) 13.224 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (exp (- (log 1/2) (log (hypot 1 x)))) 1/2))))) 13.225 * * * * [progress]: [ 132 / 169 ] simplifiying candidate # 13.225 * * * * [progress]: [ 133 / 169 ] simplifiying candidate # 13.225 * * * * [progress]: [ 134 / 169 ] simplifiying candidate # 13.225 * [simplify]: Simplifying (/ (* (* 1/2 1/2) 1/2) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 13.225 * * [simplify]: iters left: 6 (9 enodes) 13.231 * * [simplify]: iters left: 5 (39 enodes) 13.245 * * [simplify]: iters left: 4 (84 enodes) 13.276 * * [simplify]: iters left: 3 (177 enodes) 13.316 * * [simplify]: iters left: 2 (274 enodes) 13.427 * * [simplify]: iters left: 1 (390 enodes) 13.591 * * [simplify]: Extracting #0: cost 1 inf + 0 13.591 * * [simplify]: Extracting #1: cost 52 inf + 0 13.592 * * [simplify]: Extracting #2: cost 110 inf + 3 13.593 * * [simplify]: Extracting #3: cost 98 inf + 1349 13.598 * * [simplify]: Extracting #4: cost 44 inf + 11555 13.611 * * [simplify]: Extracting #5: cost 7 inf + 27227 13.619 * * [simplify]: Extracting #6: cost 0 inf + 31060 13.625 * [simplify]: Simplified to (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))) 13.626 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (cbrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) 1/2))))) 13.626 * * * * [progress]: [ 135 / 169 ] simplifiying candidate # 13.626 * * * * [progress]: [ 136 / 169 ] simplifiying candidate # 13.626 * * * * [progress]: [ 137 / 169 ] simplifiying candidate # 13.626 * * * * [progress]: [ 138 / 169 ] simplifiying candidate # 13.626 * * * * [progress]: [ 139 / 169 ] simplifiying candidate # 13.626 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 13.626 * * [simplify]: iters left: 6 (9 enodes) 13.629 * * [simplify]: iters left: 5 (35 enodes) 13.636 * * [simplify]: iters left: 4 (52 enodes) 13.645 * * [simplify]: iters left: 3 (59 enodes) 13.654 * * [simplify]: iters left: 2 (62 enodes) 13.669 * * [simplify]: Extracting #0: cost 1 inf + 0 13.670 * * [simplify]: Extracting #1: cost 11 inf + 0 13.670 * * [simplify]: Extracting #2: cost 22 inf + 0 13.670 * * [simplify]: Extracting #3: cost 24 inf + 1 13.670 * * [simplify]: Extracting #4: cost 20 inf + 141 13.671 * * [simplify]: Extracting #5: cost 4 inf + 3413 13.672 * * [simplify]: Extracting #6: cost 0 inf + 4565 13.673 * [simplify]: Simplified to (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) 13.673 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) 1/2))))) 13.674 * [simplify]: Simplifying (/ (cbrt 1/2) (cbrt (hypot 1 x))) 13.674 * * [simplify]: iters left: 4 (7 enodes) 13.678 * * [simplify]: iters left: 3 (23 enodes) 13.686 * * [simplify]: iters left: 2 (25 enodes) 13.694 * * [simplify]: Extracting #0: cost 1 inf + 0 13.694 * * [simplify]: Extracting #1: cost 4 inf + 0 13.694 * * [simplify]: Extracting #2: cost 8 inf + 0 13.694 * * [simplify]: Extracting #3: cost 10 inf + 1 13.694 * * [simplify]: Extracting #4: cost 6 inf + 165 13.694 * * [simplify]: Extracting #5: cost 2 inf + 674 13.694 * * [simplify]: Extracting #6: cost 0 inf + 1069 13.695 * [simplify]: Simplified to (/ (cbrt 1/2) (cbrt (hypot 1 x))) 13.695 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) 1/2))))) 13.695 * * * * [progress]: [ 140 / 169 ] simplifiying candidate # 13.695 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) 13.695 * * [simplify]: iters left: 5 (8 enodes) 13.700 * * [simplify]: iters left: 4 (28 enodes) 13.705 * * [simplify]: iters left: 3 (34 enodes) 13.710 * * [simplify]: iters left: 2 (37 enodes) 13.717 * * [simplify]: Extracting #0: cost 1 inf + 0 13.717 * * [simplify]: Extracting #1: cost 7 inf + 0 13.717 * * [simplify]: Extracting #2: cost 14 inf + 0 13.717 * * [simplify]: Extracting #3: cost 16 inf + 1 13.718 * * [simplify]: Extracting #4: cost 12 inf + 141 13.719 * * [simplify]: Extracting #5: cost 1 inf + 1885 13.719 * * [simplify]: Extracting #6: cost 0 inf + 2103 13.719 * [simplify]: Simplified to (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) 13.719 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) 1/2))))) 13.720 * [simplify]: Simplifying (/ (cbrt 1/2) (sqrt (hypot 1 x))) 13.720 * * [simplify]: iters left: 4 (7 enodes) 13.722 * * [simplify]: iters left: 3 (23 enodes) 13.726 * * [simplify]: iters left: 2 (25 enodes) 13.734 * * [simplify]: Extracting #0: cost 1 inf + 0 13.734 * * [simplify]: Extracting #1: cost 4 inf + 0 13.734 * * [simplify]: Extracting #2: cost 8 inf + 0 13.734 * * [simplify]: Extracting #3: cost 10 inf + 1 13.734 * * [simplify]: Extracting #4: cost 6 inf + 165 13.735 * * [simplify]: Extracting #5: cost 2 inf + 594 13.735 * * [simplify]: Extracting #6: cost 0 inf + 909 13.735 * [simplify]: Simplified to (/ (cbrt 1/2) (sqrt (hypot 1 x))) 13.735 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) 1/2))))) 13.735 * * * * [progress]: [ 141 / 169 ] simplifiying candidate # 13.736 * [simplify]: Simplifying (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 13.736 * * [simplify]: iters left: 5 (5 enodes) 13.740 * * [simplify]: iters left: 4 (17 enodes) 13.745 * * [simplify]: iters left: 3 (27 enodes) 13.750 * * [simplify]: iters left: 2 (28 enodes) 13.754 * * [simplify]: Extracting #0: cost 1 inf + 0 13.754 * * [simplify]: Extracting #1: cost 5 inf + 0 13.754 * * [simplify]: Extracting #2: cost 7 inf + 1 13.754 * * [simplify]: Extracting #3: cost 6 inf + 2 13.754 * * [simplify]: Extracting #4: cost 1 inf + 528 13.754 * * [simplify]: Extracting #5: cost 0 inf + 650 13.754 * [simplify]: Simplified to (* (cbrt 1/2) (cbrt 1/2)) 13.755 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x))) 1/2))))) 13.755 * [simplify]: Simplifying (/ (cbrt 1/2) (hypot 1 x)) 13.755 * * [simplify]: iters left: 3 (6 enodes) 13.757 * * [simplify]: iters left: 2 (20 enodes) 13.760 * * [simplify]: iters left: 1 (22 enodes) 13.764 * * [simplify]: Extracting #0: cost 1 inf + 0 13.764 * * [simplify]: Extracting #1: cost 4 inf + 0 13.764 * * [simplify]: Extracting #2: cost 9 inf + 0 13.764 * * [simplify]: Extracting #3: cost 6 inf + 3 13.765 * * [simplify]: Extracting #4: cost 1 inf + 457 13.765 * * [simplify]: Extracting #5: cost 0 inf + 635 13.765 * [simplify]: Simplified to (/ (cbrt 1/2) (hypot 1 x)) 13.765 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x))) 1/2))))) 13.765 * * * * [progress]: [ 142 / 169 ] simplifiying candidate # 13.765 * [simplify]: Simplifying (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 13.765 * * [simplify]: iters left: 6 (8 enodes) 13.768 * * [simplify]: iters left: 5 (28 enodes) 13.773 * * [simplify]: iters left: 4 (32 enodes) 13.778 * * [simplify]: Extracting #0: cost 1 inf + 0 13.778 * * [simplify]: Extracting #1: cost 6 inf + 0 13.778 * * [simplify]: Extracting #2: cost 12 inf + 0 13.778 * * [simplify]: Extracting #3: cost 14 inf + 1 13.778 * * [simplify]: Extracting #4: cost 11 inf + 44 13.778 * * [simplify]: Extracting #5: cost 7 inf + 336 13.779 * * [simplify]: Extracting #6: cost 0 inf + 1779 13.779 * [simplify]: Simplified to (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) 13.779 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) 1/2))))) 13.779 * [simplify]: Simplifying (/ (sqrt 1/2) (cbrt (hypot 1 x))) 13.779 * * [simplify]: iters left: 4 (7 enodes) 13.785 * * [simplify]: iters left: 3 (23 enodes) 13.793 * * [simplify]: iters left: 2 (25 enodes) 13.800 * * [simplify]: Extracting #0: cost 1 inf + 0 13.801 * * [simplify]: Extracting #1: cost 4 inf + 0 13.801 * * [simplify]: Extracting #2: cost 8 inf + 0 13.801 * * [simplify]: Extracting #3: cost 10 inf + 1 13.801 * * [simplify]: Extracting #4: cost 6 inf + 85 13.801 * * [simplify]: Extracting #5: cost 2 inf + 554 13.801 * * [simplify]: Extracting #6: cost 0 inf + 909 13.802 * [simplify]: Simplified to (/ (sqrt 1/2) (cbrt (hypot 1 x))) 13.802 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) 1/2))))) 13.802 * * * * [progress]: [ 143 / 169 ] simplifiying candidate # 13.802 * [simplify]: Simplifying (/ (sqrt 1/2) (sqrt (hypot 1 x))) 13.802 * * [simplify]: iters left: 4 (7 enodes) 13.806 * * [simplify]: iters left: 3 (23 enodes) 13.814 * * [simplify]: iters left: 2 (25 enodes) 13.822 * * [simplify]: Extracting #0: cost 1 inf + 0 13.822 * * [simplify]: Extracting #1: cost 4 inf + 0 13.822 * * [simplify]: Extracting #2: cost 8 inf + 0 13.822 * * [simplify]: Extracting #3: cost 10 inf + 1 13.822 * * [simplify]: Extracting #4: cost 6 inf + 85 13.822 * * [simplify]: Extracting #5: cost 2 inf + 474 13.823 * * [simplify]: Extracting #6: cost 0 inf + 749 13.823 * [simplify]: Simplified to (/ (sqrt 1/2) (sqrt (hypot 1 x))) 13.823 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 1/2))))) 13.823 * [simplify]: Simplifying (/ (sqrt 1/2) (sqrt (hypot 1 x))) 13.823 * * [simplify]: iters left: 4 (7 enodes) 13.827 * * [simplify]: iters left: 3 (23 enodes) 13.835 * * [simplify]: iters left: 2 (25 enodes) 13.846 * * [simplify]: Extracting #0: cost 1 inf + 0 13.846 * * [simplify]: Extracting #1: cost 4 inf + 0 13.846 * * [simplify]: Extracting #2: cost 8 inf + 0 13.846 * * [simplify]: Extracting #3: cost 10 inf + 1 13.846 * * [simplify]: Extracting #4: cost 6 inf + 85 13.846 * * [simplify]: Extracting #5: cost 2 inf + 474 13.847 * * [simplify]: Extracting #6: cost 0 inf + 749 13.847 * [simplify]: Simplified to (/ (sqrt 1/2) (sqrt (hypot 1 x))) 13.847 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 1/2))))) 13.847 * * * * [progress]: [ 144 / 169 ] simplifiying candidate # 13.848 * [simplify]: Simplifying (/ (sqrt 1/2) 1) 13.848 * * [simplify]: iters left: 3 (4 enodes) 13.850 * * [simplify]: iters left: 2 (12 enodes) 13.855 * * [simplify]: iters left: 1 (14 enodes) 13.859 * * [simplify]: Extracting #0: cost 1 inf + 0 13.859 * * [simplify]: Extracting #1: cost 4 inf + 0 13.859 * * [simplify]: Extracting #2: cost 0 inf + 84 13.860 * [simplify]: Simplified to (sqrt 1/2) 13.860 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x))) 1/2))))) 13.860 * [simplify]: Simplifying (/ (sqrt 1/2) (hypot 1 x)) 13.860 * * [simplify]: iters left: 3 (6 enodes) 13.864 * * [simplify]: iters left: 2 (20 enodes) 13.870 * * [simplify]: iters left: 1 (22 enodes) 13.877 * * [simplify]: Extracting #0: cost 1 inf + 0 13.877 * * [simplify]: Extracting #1: cost 4 inf + 0 13.877 * * [simplify]: Extracting #2: cost 9 inf + 0 13.877 * * [simplify]: Extracting #3: cost 6 inf + 3 13.877 * * [simplify]: Extracting #4: cost 1 inf + 337 13.878 * * [simplify]: Extracting #5: cost 0 inf + 475 13.878 * [simplify]: Simplified to (/ (sqrt 1/2) (hypot 1 x)) 13.878 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x))) 1/2))))) 13.878 * * * * [progress]: [ 145 / 169 ] simplifiying candidate # 13.878 * [simplify]: Simplifying (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 13.878 * * [simplify]: iters left: 6 (6 enodes) 13.881 * * [simplify]: iters left: 5 (22 enodes) 13.889 * * [simplify]: iters left: 4 (26 enodes) 13.897 * * [simplify]: Extracting #0: cost 1 inf + 0 13.897 * * [simplify]: Extracting #1: cost 6 inf + 0 13.897 * * [simplify]: Extracting #2: cost 9 inf + 1 13.897 * * [simplify]: Extracting #3: cost 11 inf + 1 13.897 * * [simplify]: Extracting #4: cost 8 inf + 116 13.897 * * [simplify]: Extracting #5: cost 2 inf + 1138 13.898 * * [simplify]: Extracting #6: cost 0 inf + 1532 13.898 * [simplify]: Simplified to (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) 13.898 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x)))) 1/2))))) 13.899 * [simplify]: Simplifying (/ 1/2 (cbrt (hypot 1 x))) 13.899 * * [simplify]: iters left: 4 (6 enodes) 13.902 * * [simplify]: iters left: 3 (20 enodes) 13.910 * * [simplify]: iters left: 2 (22 enodes) 13.916 * * [simplify]: Extracting #0: cost 1 inf + 0 13.916 * * [simplify]: Extracting #1: cost 4 inf + 0 13.917 * * [simplify]: Extracting #2: cost 5 inf + 1 13.917 * * [simplify]: Extracting #3: cost 8 inf + 1 13.917 * * [simplify]: Extracting #4: cost 6 inf + 3 13.917 * * [simplify]: Extracting #5: cost 1 inf + 569 13.917 * * [simplify]: Extracting #6: cost 0 inf + 747 13.917 * [simplify]: Simplified to (/ 1/2 (cbrt (hypot 1 x))) 13.917 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x)))) 1/2))))) 13.918 * * * * [progress]: [ 146 / 169 ] simplifiying candidate # 13.918 * [simplify]: Simplifying (/ 1 (sqrt (hypot 1 x))) 13.918 * * [simplify]: iters left: 4 (5 enodes) 13.920 * * [simplify]: iters left: 3 (17 enodes) 13.926 * * [simplify]: iters left: 2 (19 enodes) 13.932 * * [simplify]: Extracting #0: cost 1 inf + 0 13.932 * * [simplify]: Extracting #1: cost 4 inf + 0 13.932 * * [simplify]: Extracting #2: cost 5 inf + 1 13.932 * * [simplify]: Extracting #3: cost 7 inf + 1 13.932 * * [simplify]: Extracting #4: cost 0 inf + 584 13.932 * [simplify]: Simplified to (/ 1 (sqrt (hypot 1 x))) 13.932 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x)))) 1/2))))) 13.933 * [simplify]: Simplifying (/ 1/2 (sqrt (hypot 1 x))) 13.933 * * [simplify]: iters left: 4 (6 enodes) 13.936 * * [simplify]: iters left: 3 (20 enodes) 13.942 * * [simplify]: iters left: 2 (22 enodes) 13.949 * * [simplify]: Extracting #0: cost 1 inf + 0 13.950 * * [simplify]: Extracting #1: cost 4 inf + 0 13.950 * * [simplify]: Extracting #2: cost 5 inf + 1 13.950 * * [simplify]: Extracting #3: cost 8 inf + 1 13.950 * * [simplify]: Extracting #4: cost 6 inf + 3 13.950 * * [simplify]: Extracting #5: cost 1 inf + 449 13.950 * * [simplify]: Extracting #6: cost 0 inf + 587 13.950 * [simplify]: Simplified to (/ 1/2 (sqrt (hypot 1 x))) 13.950 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x)))) 1/2))))) 13.951 * * * * [progress]: [ 147 / 169 ] simplifiying candidate # 13.951 * [simplify]: Simplifying (/ 1 1) 13.951 * * [simplify]: iters left: 2 (2 enodes) 13.952 * * [simplify]: iters left: 1 (6 enodes) 13.955 * * [simplify]: Extracting #0: cost 1 inf + 0 13.955 * * [simplify]: Extracting #1: cost 0 inf + 1 13.955 * [simplify]: Simplified to 1 13.955 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* 1 (/ 1/2 (hypot 1 x))) 1/2))))) 13.955 * [simplify]: Simplifying (/ 1/2 (hypot 1 x)) 13.955 * * [simplify]: iters left: 3 (5 enodes) 13.958 * * [simplify]: iters left: 2 (17 enodes) 13.964 * * [simplify]: iters left: 1 (19 enodes) 13.970 * * [simplify]: Extracting #0: cost 1 inf + 0 13.970 * * [simplify]: Extracting #1: cost 4 inf + 0 13.970 * * [simplify]: Extracting #2: cost 6 inf + 1 13.970 * * [simplify]: Extracting #3: cost 0 inf + 313 13.970 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 13.970 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (* 1 (/ 1/2 (hypot 1 x))) 1/2))))) 13.970 * * * * [progress]: [ 148 / 169 ] simplifiying candidate # 13.970 * * * * [progress]: [ 149 / 169 ] simplifiying candidate # 13.971 * * * * [progress]: [ 150 / 169 ] simplifiying candidate # 13.971 * * * * [progress]: [ 151 / 169 ] simplifiying candidate # 13.971 * [simplify]: Simplifying (cbrt (hypot 1 x)) 13.971 * * [simplify]: iters left: 2 (4 enodes) 13.973 * * [simplify]: iters left: 1 (14 enodes) 13.978 * * [simplify]: Extracting #0: cost 1 inf + 0 13.978 * * [simplify]: Extracting #1: cost 3 inf + 0 13.978 * * [simplify]: Extracting #2: cost 6 inf + 0 13.978 * * [simplify]: Extracting #3: cost 2 inf + 116 13.978 * * [simplify]: Extracting #4: cost 1 inf + 253 13.978 * * [simplify]: Extracting #5: cost 0 inf + 390 13.978 * [simplify]: Simplified to (cbrt (hypot 1 x)) 13.978 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))) 1/2))))) 13.978 * * * * [progress]: [ 152 / 169 ] simplifiying candidate # 13.979 * [simplify]: Simplifying (sqrt (hypot 1 x)) 13.979 * * [simplify]: iters left: 2 (4 enodes) 13.981 * * [simplify]: iters left: 1 (14 enodes) 13.985 * * [simplify]: Extracting #0: cost 1 inf + 0 13.985 * * [simplify]: Extracting #1: cost 3 inf + 0 13.985 * * [simplify]: Extracting #2: cost 6 inf + 0 13.985 * * [simplify]: Extracting #3: cost 2 inf + 116 13.985 * * [simplify]: Extracting #4: cost 1 inf + 213 13.985 * * [simplify]: Extracting #5: cost 0 inf + 310 13.985 * [simplify]: Simplified to (sqrt (hypot 1 x)) 13.985 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) 1/2))))) 13.985 * * * * [progress]: [ 153 / 169 ] simplifiying candidate # 13.985 * [simplify]: Simplifying (hypot 1 x) 13.985 * * [simplify]: iters left: 1 (3 enodes) 13.986 * * [simplify]: Extracting #0: cost 1 inf + 0 13.986 * * [simplify]: Extracting #1: cost 4 inf + 0 13.986 * * [simplify]: Extracting #2: cost 2 inf + 2 13.986 * * [simplify]: Extracting #3: cost 0 inf + 116 13.986 * [simplify]: Simplified to (hypot 1 x) 13.986 * [simplify]: Simplified (2 2 2 1 1 2) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (/ (/ 1/2 1) (hypot 1 x)) 1/2))))) 13.986 * * * * [progress]: [ 154 / 169 ] simplifiying candidate # 13.987 * [simplify]: Simplifying (* (cbrt 1/2) (cbrt 1/2)) 13.987 * * [simplify]: iters left: 3 (3 enodes) 13.988 * * [simplify]: iters left: 2 (9 enodes) 13.990 * * [simplify]: Extracting #0: cost 1 inf + 0 13.990 * * [simplify]: Extracting #1: cost 3 inf + 0 13.990 * * [simplify]: Extracting #2: cost 5 inf + 0 13.990 * * [simplify]: Extracting #3: cost 4 inf + 1 13.990 * * [simplify]: Extracting #4: cost 0 inf + 405 13.990 * [simplify]: Simplified to (* (cbrt 1/2) (cbrt 1/2)) 13.990 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (hypot 1 x) (cbrt 1/2))) 1/2))))) 13.990 * * * * [progress]: [ 155 / 169 ] simplifiying candidate # 13.990 * [simplify]: Simplifying (sqrt 1/2) 13.990 * * [simplify]: iters left: 1 (2 enodes) 13.991 * * [simplify]: Extracting #0: cost 1 inf + 0 13.991 * * [simplify]: Extracting #1: cost 3 inf + 0 13.991 * * [simplify]: Extracting #2: cost 2 inf + 1 13.991 * * [simplify]: Extracting #3: cost 0 inf + 83 13.991 * [simplify]: Simplified to (sqrt 1/2) 13.991 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (/ (sqrt 1/2) (/ (hypot 1 x) (sqrt 1/2))) 1/2))))) 13.991 * * * * [progress]: [ 156 / 169 ] simplifiying candidate # 13.991 * * * * [progress]: [ 157 / 169 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))) 1/2)))))> 13.992 * * * * [progress]: [ 158 / 169 ] simplifiying candidate # 13.992 * [simplify]: Simplifying (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 13.992 * * [simplify]: iters left: 6 (7 enodes) 13.994 * * [simplify]: iters left: 5 (27 enodes) 14.001 * * [simplify]: iters left: 4 (33 enodes) 14.006 * * [simplify]: iters left: 3 (37 enodes) 14.011 * * [simplify]: Extracting #0: cost 1 inf + 0 14.011 * * [simplify]: Extracting #1: cost 5 inf + 0 14.011 * * [simplify]: Extracting #2: cost 9 inf + 1 14.012 * * [simplify]: Extracting #3: cost 11 inf + 2 14.012 * * [simplify]: Extracting #4: cost 7 inf + 215 14.012 * * [simplify]: Extracting #5: cost 2 inf + 822 14.012 * * [simplify]: Extracting #6: cost 0 inf + 1057 14.012 * [simplify]: Simplified to (+ (/ 1/2 (hypot 1 x)) 1/2) 14.012 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (- (* 1 1) (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 14.012 * * * * [progress]: [ 159 / 169 ] simplifiying candidate # 14.013 * [simplify]: Simplifying (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 14.013 * * [simplify]: iters left: 6 (7 enodes) 14.015 * * [simplify]: iters left: 5 (27 enodes) 14.020 * * [simplify]: iters left: 4 (33 enodes) 14.029 * * [simplify]: iters left: 3 (37 enodes) 14.039 * * [simplify]: Extracting #0: cost 1 inf + 0 14.039 * * [simplify]: Extracting #1: cost 5 inf + 0 14.039 * * [simplify]: Extracting #2: cost 9 inf + 1 14.040 * * [simplify]: Extracting #3: cost 11 inf + 2 14.040 * * [simplify]: Extracting #4: cost 7 inf + 215 14.040 * * [simplify]: Extracting #5: cost 2 inf + 822 14.040 * * [simplify]: Extracting #6: cost 0 inf + 1057 14.041 * [simplify]: Simplified to (+ (/ 1/2 (hypot 1 x)) 1/2) 14.041 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (- (* 1 1) (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 14.041 * * * * [progress]: [ 160 / 169 ] simplifiying candidate # 14.041 * [simplify]: Simplifying (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 14.042 * * [simplify]: iters left: 6 (7 enodes) 14.046 * * [simplify]: iters left: 5 (27 enodes) 14.055 * * [simplify]: iters left: 4 (33 enodes) 14.065 * * [simplify]: iters left: 3 (37 enodes) 14.076 * * [simplify]: Extracting #0: cost 1 inf + 0 14.076 * * [simplify]: Extracting #1: cost 5 inf + 0 14.076 * * [simplify]: Extracting #2: cost 9 inf + 1 14.076 * * [simplify]: Extracting #3: cost 11 inf + 2 14.076 * * [simplify]: Extracting #4: cost 7 inf + 215 14.076 * * [simplify]: Extracting #5: cost 2 inf + 822 14.077 * * [simplify]: Extracting #6: cost 0 inf + 1057 14.077 * [simplify]: Simplified to (+ (/ 1/2 (hypot 1 x)) 1/2) 14.077 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (- (* 1 1) (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 14.077 * * * * [progress]: [ 161 / 169 ] simplifiying candidate # 14.078 * [simplify]: Simplifying (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 14.078 * * [simplify]: iters left: 6 (7 enodes) 14.082 * * [simplify]: iters left: 5 (28 enodes) 14.092 * * [simplify]: iters left: 4 (44 enodes) 14.099 * * [simplify]: iters left: 3 (53 enodes) 14.106 * * [simplify]: iters left: 2 (59 enodes) 14.114 * * [simplify]: iters left: 1 (60 enodes) 14.127 * * [simplify]: Extracting #0: cost 1 inf + 0 14.127 * * [simplify]: Extracting #1: cost 6 inf + 0 14.127 * * [simplify]: Extracting #2: cost 13 inf + 1 14.128 * * [simplify]: Extracting #3: cost 16 inf + 3 14.128 * * [simplify]: Extracting #4: cost 11 inf + 258 14.128 * * [simplify]: Extracting #5: cost 3 inf + 1119 14.129 * * [simplify]: Extracting #6: cost 0 inf + 1451 14.130 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 14.130 * [simplify]: Simplified (2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 14.130 * * * * [progress]: [ 162 / 169 ] simplifiying candidate # 14.130 * [simplify]: Simplifying (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 14.130 * * [simplify]: iters left: 6 (7 enodes) 14.135 * * [simplify]: iters left: 5 (28 enodes) 14.145 * * [simplify]: iters left: 4 (44 enodes) 14.158 * * [simplify]: iters left: 3 (53 enodes) 14.172 * * [simplify]: iters left: 2 (59 enodes) 14.187 * * [simplify]: iters left: 1 (60 enodes) 14.197 * * [simplify]: Extracting #0: cost 1 inf + 0 14.197 * * [simplify]: Extracting #1: cost 6 inf + 0 14.197 * * [simplify]: Extracting #2: cost 13 inf + 1 14.197 * * [simplify]: Extracting #3: cost 16 inf + 3 14.197 * * [simplify]: Extracting #4: cost 11 inf + 258 14.198 * * [simplify]: Extracting #5: cost 3 inf + 1119 14.198 * * [simplify]: Extracting #6: cost 0 inf + 1451 14.198 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 14.198 * [simplify]: Simplified (2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 14.198 * * * * [progress]: [ 163 / 169 ] simplifiying candidate # 14.199 * [simplify]: Simplifying (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 14.199 * * [simplify]: iters left: 6 (7 enodes) 14.201 * * [simplify]: iters left: 5 (28 enodes) 14.207 * * [simplify]: iters left: 4 (44 enodes) 14.215 * * [simplify]: iters left: 3 (53 enodes) 14.229 * * [simplify]: iters left: 2 (59 enodes) 14.244 * * [simplify]: iters left: 1 (60 enodes) 14.255 * * [simplify]: Extracting #0: cost 1 inf + 0 14.255 * * [simplify]: Extracting #1: cost 6 inf + 0 14.255 * * [simplify]: Extracting #2: cost 13 inf + 1 14.255 * * [simplify]: Extracting #3: cost 16 inf + 3 14.255 * * [simplify]: Extracting #4: cost 11 inf + 258 14.255 * * [simplify]: Extracting #5: cost 3 inf + 1119 14.256 * * [simplify]: Extracting #6: cost 0 inf + 1451 14.256 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 14.256 * [simplify]: Simplified (2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 14.256 * * * * [progress]: [ 164 / 169 ] simplifiying candidate # 14.256 * [simplify]: Simplifying (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 14.256 * * [simplify]: iters left: 6 (11 enodes) 14.260 * * [simplify]: iters left: 5 (45 enodes) 14.268 * * [simplify]: iters left: 4 (73 enodes) 14.286 * * [simplify]: iters left: 3 (105 enodes) 14.318 * * [simplify]: iters left: 2 (147 enodes) 14.345 * * [simplify]: iters left: 1 (218 enodes) 14.397 * * [simplify]: Extracting #0: cost 1 inf + 0 14.397 * * [simplify]: Extracting #1: cost 15 inf + 0 14.397 * * [simplify]: Extracting #2: cost 42 inf + 2 14.397 * * [simplify]: Extracting #3: cost 59 inf + 4 14.398 * * [simplify]: Extracting #4: cost 47 inf + 1953 14.400 * * [simplify]: Extracting #5: cost 10 inf + 10962 14.405 * * [simplify]: Extracting #6: cost 0 inf + 13623 14.412 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 14.412 * [simplify]: Simplified (2) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 14.412 * * * * [progress]: [ 165 / 169 ] simplifiying candidate # 14.412 * [simplify]: Simplifying (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 14.412 * * [simplify]: iters left: 6 (11 enodes) 14.416 * * [simplify]: iters left: 5 (45 enodes) 14.424 * * [simplify]: iters left: 4 (73 enodes) 14.436 * * [simplify]: iters left: 3 (105 enodes) 14.467 * * [simplify]: iters left: 2 (147 enodes) 14.513 * * [simplify]: iters left: 1 (218 enodes) 14.559 * * [simplify]: Extracting #0: cost 1 inf + 0 14.559 * * [simplify]: Extracting #1: cost 15 inf + 0 14.560 * * [simplify]: Extracting #2: cost 42 inf + 2 14.560 * * [simplify]: Extracting #3: cost 59 inf + 4 14.561 * * [simplify]: Extracting #4: cost 47 inf + 1953 14.565 * * [simplify]: Extracting #5: cost 10 inf + 10962 14.573 * * [simplify]: Extracting #6: cost 0 inf + 13623 14.581 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 14.581 * [simplify]: Simplified (2) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 14.581 * * * * [progress]: [ 166 / 169 ] simplifiying candidate # 14.582 * [simplify]: Simplifying (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 14.582 * * [simplify]: iters left: 6 (11 enodes) 14.589 * * [simplify]: iters left: 5 (45 enodes) 14.604 * * [simplify]: iters left: 4 (73 enodes) 14.627 * * [simplify]: iters left: 3 (105 enodes) 14.658 * * [simplify]: iters left: 2 (147 enodes) 14.702 * * [simplify]: iters left: 1 (218 enodes) 14.742 * * [simplify]: Extracting #0: cost 1 inf + 0 14.742 * * [simplify]: Extracting #1: cost 15 inf + 0 14.742 * * [simplify]: Extracting #2: cost 42 inf + 2 14.743 * * [simplify]: Extracting #3: cost 59 inf + 4 14.743 * * [simplify]: Extracting #4: cost 47 inf + 1953 14.745 * * [simplify]: Extracting #5: cost 10 inf + 10962 14.749 * * [simplify]: Extracting #6: cost 0 inf + 13623 14.753 * [simplify]: Simplified to (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 14.754 * [simplify]: Simplified (2) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 14.754 * * * * [progress]: [ 167 / 169 ] simplifiying candidate # 14.754 * [simplify]: Simplifying (/ 1/2 (hypot 1 x)) 14.754 * * [simplify]: iters left: 3 (5 enodes) 14.756 * * [simplify]: iters left: 2 (17 enodes) 14.762 * * [simplify]: iters left: 1 (19 enodes) 14.768 * * [simplify]: Extracting #0: cost 1 inf + 0 14.768 * * [simplify]: Extracting #1: cost 4 inf + 0 14.768 * * [simplify]: Extracting #2: cost 6 inf + 1 14.768 * * [simplify]: Extracting #3: cost 0 inf + 313 14.769 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 14.769 * [simplify]: Simplified (2 2 2 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 14.769 * * * * [progress]: [ 168 / 169 ] simplifiying candidate # 14.769 * [simplify]: Simplifying (/ 1/2 (hypot 1 x)) 14.769 * * [simplify]: iters left: 3 (5 enodes) 14.772 * * [simplify]: iters left: 2 (17 enodes) 14.778 * * [simplify]: iters left: 1 (19 enodes) 14.784 * * [simplify]: Extracting #0: cost 1 inf + 0 14.784 * * [simplify]: Extracting #1: cost 4 inf + 0 14.784 * * [simplify]: Extracting #2: cost 6 inf + 1 14.784 * * [simplify]: Extracting #3: cost 0 inf + 313 14.784 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 14.784 * [simplify]: Simplified (2 2 2 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 14.784 * * * * [progress]: [ 169 / 169 ] simplifiying candidate # 14.785 * [simplify]: Simplifying (/ 1/2 (hypot 1 x)) 14.785 * * [simplify]: iters left: 3 (5 enodes) 14.788 * * [simplify]: iters left: 2 (17 enodes) 14.794 * * [simplify]: iters left: 1 (19 enodes) 14.800 * * [simplify]: Extracting #0: cost 1 inf + 0 14.800 * * [simplify]: Extracting #1: cost 4 inf + 0 14.800 * * [simplify]: Extracting #2: cost 6 inf + 1 14.800 * * [simplify]: Extracting #3: cost 0 inf + 313 14.800 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 14.800 * [simplify]: Simplified (2 2 2 1 1) to (λ (x) (/ (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 14.800 * * * [progress]: adding candidates to table 16.514 * * [progress]: iteration 3 / 4 16.514 * * * [progress]: picking best candidate 16.548 * * * * [pick]: Picked # 16.548 * * * [progress]: localizing error 16.612 * * * [progress]: generating rewritten candidates 16.612 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 16.673 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 16.730 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 16.793 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 16.999 * * * [progress]: generating series expansions 16.999 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 16.999 * [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) 16.999 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in (x) around 0 16.999 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 16.999 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 16.999 * [taylor]: Taking taylor expansion of 1/2 in x 16.999 * [backup-simplify]: Simplify 1/2 into 1/2 16.999 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 16.999 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 16.999 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 16.999 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 16.999 * [taylor]: Taking taylor expansion of 1/2 in x 16.999 * [backup-simplify]: Simplify 1/2 into 1/2 16.999 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 16.999 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 16.999 * [taylor]: Taking taylor expansion of 1/2 in x 16.999 * [backup-simplify]: Simplify 1/2 into 1/2 16.999 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 16.999 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 16.999 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 16.999 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 16.999 * [taylor]: Taking taylor expansion of 1/2 in x 16.999 * [backup-simplify]: Simplify 1/2 into 1/2 17.000 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 17.000 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 17.000 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 17.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 17.000 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 17.001 * [backup-simplify]: Simplify (+ 0 0) into 0 17.001 * [backup-simplify]: Simplify 0 into 0 17.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 17.002 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 17.002 * [backup-simplify]: Simplify (+ 0 0) into 0 17.002 * [backup-simplify]: Simplify 0 into 0 17.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 17.003 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 17.003 * [backup-simplify]: Simplify (+ 0 0) into 0 17.003 * [backup-simplify]: Simplify 0 into 0 17.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 17.005 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 17.005 * [backup-simplify]: Simplify (+ 0 0) into 0 17.005 * [backup-simplify]: Simplify 0 into 0 17.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 17.006 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 17.006 * [backup-simplify]: Simplify (+ 0 0) into 0 17.007 * [backup-simplify]: Simplify 0 into 0 17.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 17.008 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 17.008 * [backup-simplify]: Simplify (+ 0 0) into 0 17.008 * [backup-simplify]: Simplify 0 into 0 17.009 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 17.009 * [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) 17.009 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in (x) around 0 17.009 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 17.009 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 17.009 * [taylor]: Taking taylor expansion of 1/2 in x 17.009 * [backup-simplify]: Simplify 1/2 into 1/2 17.009 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 17.009 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 17.009 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 17.009 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 17.009 * [taylor]: Taking taylor expansion of 1/2 in x 17.009 * [backup-simplify]: Simplify 1/2 into 1/2 17.009 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 17.009 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 17.009 * [taylor]: Taking taylor expansion of 1/2 in x 17.009 * [backup-simplify]: Simplify 1/2 into 1/2 17.009 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 17.009 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 17.009 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 17.009 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 17.009 * [taylor]: Taking taylor expansion of 1/2 in x 17.009 * [backup-simplify]: Simplify 1/2 into 1/2 17.009 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 17.009 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 17.009 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 17.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.010 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 17.010 * [backup-simplify]: Simplify (+ 0 0) into 0 17.010 * [backup-simplify]: Simplify 0 into 0 17.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.011 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))) into 0 17.011 * [backup-simplify]: Simplify (+ 0 0) into 0 17.011 * [backup-simplify]: Simplify 0 into 0 17.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))) into 0 17.013 * [backup-simplify]: Simplify (+ 0 0) into 0 17.013 * [backup-simplify]: Simplify 0 into 0 17.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.015 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))) into 0 17.015 * [backup-simplify]: Simplify (+ 0 0) into 0 17.015 * [backup-simplify]: Simplify 0 into 0 17.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.018 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))))) into 0 17.018 * [backup-simplify]: Simplify (+ 0 0) into 0 17.018 * [backup-simplify]: Simplify 0 into 0 17.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.021 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))))) into 0 17.022 * [backup-simplify]: Simplify (+ 0 0) into 0 17.022 * [backup-simplify]: Simplify 0 into 0 17.022 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 (/ 1 (/ 1 x))))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 17.022 * [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) 17.022 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in (x) around 0 17.022 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 17.022 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 17.022 * [taylor]: Taking taylor expansion of 1/2 in x 17.022 * [backup-simplify]: Simplify 1/2 into 1/2 17.022 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 17.022 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 17.023 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 17.023 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 17.023 * [taylor]: Taking taylor expansion of 1/2 in x 17.023 * [backup-simplify]: Simplify 1/2 into 1/2 17.023 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 17.023 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 17.023 * [taylor]: Taking taylor expansion of 1/2 in x 17.023 * [backup-simplify]: Simplify 1/2 into 1/2 17.023 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 17.023 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 17.023 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 17.023 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 17.023 * [taylor]: Taking taylor expansion of 1/2 in x 17.023 * [backup-simplify]: Simplify 1/2 into 1/2 17.023 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 17.023 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 17.023 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 17.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.024 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 17.025 * [backup-simplify]: Simplify (+ 0 0) into 0 17.025 * [backup-simplify]: Simplify 0 into 0 17.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.026 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))) into 0 17.026 * [backup-simplify]: Simplify (+ 0 0) into 0 17.026 * [backup-simplify]: Simplify 0 into 0 17.026 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.028 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))) into 0 17.028 * [backup-simplify]: Simplify (+ 0 0) into 0 17.028 * [backup-simplify]: Simplify 0 into 0 17.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.031 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))) into 0 17.031 * [backup-simplify]: Simplify (+ 0 0) into 0 17.031 * [backup-simplify]: Simplify 0 into 0 17.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.033 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))))) into 0 17.034 * [backup-simplify]: Simplify (+ 0 0) into 0 17.034 * [backup-simplify]: Simplify 0 into 0 17.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.037 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))))) into 0 17.037 * [backup-simplify]: Simplify (+ 0 0) into 0 17.037 * [backup-simplify]: Simplify 0 into 0 17.037 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 (/ -1 (/ 1 (- x)))))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 17.037 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 17.038 * [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) 17.038 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in (x) around 0 17.038 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 17.038 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 17.038 * [taylor]: Taking taylor expansion of 1/2 in x 17.038 * [backup-simplify]: Simplify 1/2 into 1/2 17.038 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 17.038 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 17.038 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 17.038 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 17.038 * [taylor]: Taking taylor expansion of 1/2 in x 17.038 * [backup-simplify]: Simplify 1/2 into 1/2 17.038 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 17.038 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 17.038 * [taylor]: Taking taylor expansion of 1/2 in x 17.038 * [backup-simplify]: Simplify 1/2 into 1/2 17.038 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 17.038 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 17.038 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 17.038 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 17.038 * [taylor]: Taking taylor expansion of 1/2 in x 17.038 * [backup-simplify]: Simplify 1/2 into 1/2 17.038 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 17.039 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 17.039 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 17.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 17.039 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 17.040 * [backup-simplify]: Simplify (+ 0 0) into 0 17.040 * [backup-simplify]: Simplify 0 into 0 17.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 17.040 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 17.041 * [backup-simplify]: Simplify (+ 0 0) into 0 17.041 * [backup-simplify]: Simplify 0 into 0 17.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 17.041 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 17.042 * [backup-simplify]: Simplify (+ 0 0) into 0 17.042 * [backup-simplify]: Simplify 0 into 0 17.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 17.043 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 17.043 * [backup-simplify]: Simplify (+ 0 0) into 0 17.043 * [backup-simplify]: Simplify 0 into 0 17.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 17.045 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 17.045 * [backup-simplify]: Simplify (+ 0 0) into 0 17.045 * [backup-simplify]: Simplify 0 into 0 17.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 17.046 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 17.047 * [backup-simplify]: Simplify (+ 0 0) into 0 17.047 * [backup-simplify]: Simplify 0 into 0 17.047 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 17.047 * [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) 17.047 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in (x) around 0 17.047 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 17.047 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 17.047 * [taylor]: Taking taylor expansion of 1/2 in x 17.047 * [backup-simplify]: Simplify 1/2 into 1/2 17.047 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 17.047 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 17.047 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 17.047 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 17.047 * [taylor]: Taking taylor expansion of 1/2 in x 17.047 * [backup-simplify]: Simplify 1/2 into 1/2 17.047 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 17.047 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 17.047 * [taylor]: Taking taylor expansion of 1/2 in x 17.047 * [backup-simplify]: Simplify 1/2 into 1/2 17.047 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 17.047 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 17.047 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 17.048 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 17.048 * [taylor]: Taking taylor expansion of 1/2 in x 17.048 * [backup-simplify]: Simplify 1/2 into 1/2 17.048 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 17.048 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 17.048 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 17.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.048 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 17.049 * [backup-simplify]: Simplify (+ 0 0) into 0 17.049 * [backup-simplify]: Simplify 0 into 0 17.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))) into 0 17.050 * [backup-simplify]: Simplify (+ 0 0) into 0 17.050 * [backup-simplify]: Simplify 0 into 0 17.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.051 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))) into 0 17.051 * [backup-simplify]: Simplify (+ 0 0) into 0 17.051 * [backup-simplify]: Simplify 0 into 0 17.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.052 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))) into 0 17.052 * [backup-simplify]: Simplify (+ 0 0) into 0 17.052 * [backup-simplify]: Simplify 0 into 0 17.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.054 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))))) into 0 17.054 * [backup-simplify]: Simplify (+ 0 0) into 0 17.054 * [backup-simplify]: Simplify 0 into 0 17.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.056 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))))) into 0 17.056 * [backup-simplify]: Simplify (+ 0 0) into 0 17.056 * [backup-simplify]: Simplify 0 into 0 17.056 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 (/ 1 (/ 1 x))))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 17.056 * [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) 17.056 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in (x) around 0 17.056 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 17.056 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 17.056 * [taylor]: Taking taylor expansion of 1/2 in x 17.056 * [backup-simplify]: Simplify 1/2 into 1/2 17.056 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 17.056 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 17.056 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 17.056 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 17.056 * [taylor]: Taking taylor expansion of 1/2 in x 17.057 * [backup-simplify]: Simplify 1/2 into 1/2 17.057 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 17.057 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 17.057 * [taylor]: Taking taylor expansion of 1/2 in x 17.057 * [backup-simplify]: Simplify 1/2 into 1/2 17.057 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 17.057 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 17.057 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 17.057 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 17.057 * [taylor]: Taking taylor expansion of 1/2 in x 17.057 * [backup-simplify]: Simplify 1/2 into 1/2 17.057 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 17.057 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 17.057 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 17.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.057 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 17.058 * [backup-simplify]: Simplify (+ 0 0) into 0 17.058 * [backup-simplify]: Simplify 0 into 0 17.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.058 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))) into 0 17.059 * [backup-simplify]: Simplify (+ 0 0) into 0 17.059 * [backup-simplify]: Simplify 0 into 0 17.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.060 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))) into 0 17.060 * [backup-simplify]: Simplify (+ 0 0) into 0 17.060 * [backup-simplify]: Simplify 0 into 0 17.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.061 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))) into 0 17.061 * [backup-simplify]: Simplify (+ 0 0) into 0 17.061 * [backup-simplify]: Simplify 0 into 0 17.062 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.063 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))))) into 0 17.063 * [backup-simplify]: Simplify (+ 0 0) into 0 17.063 * [backup-simplify]: Simplify 0 into 0 17.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.065 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))))) into 0 17.065 * [backup-simplify]: Simplify (+ 0 0) into 0 17.065 * [backup-simplify]: Simplify 0 into 0 17.065 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 (/ -1 (/ 1 (- x)))))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 17.065 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 17.065 * [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) 17.065 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in (x) around 0 17.065 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 17.065 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 17.065 * [taylor]: Taking taylor expansion of 1/2 in x 17.065 * [backup-simplify]: Simplify 1/2 into 1/2 17.065 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 17.065 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 17.065 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 17.065 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 17.065 * [taylor]: Taking taylor expansion of 1/2 in x 17.066 * [backup-simplify]: Simplify 1/2 into 1/2 17.066 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 17.066 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 17.066 * [taylor]: Taking taylor expansion of 1/2 in x 17.066 * [backup-simplify]: Simplify 1/2 into 1/2 17.066 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 17.066 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 17.066 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 17.066 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 17.066 * [taylor]: Taking taylor expansion of 1/2 in x 17.066 * [backup-simplify]: Simplify 1/2 into 1/2 17.066 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 17.066 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 17.066 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 17.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 17.066 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 17.067 * [backup-simplify]: Simplify (+ 0 0) into 0 17.067 * [backup-simplify]: Simplify 0 into 0 17.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 17.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 17.068 * [backup-simplify]: Simplify (+ 0 0) into 0 17.068 * [backup-simplify]: Simplify 0 into 0 17.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 17.068 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 17.069 * [backup-simplify]: Simplify (+ 0 0) into 0 17.069 * [backup-simplify]: Simplify 0 into 0 17.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 17.070 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 17.070 * [backup-simplify]: Simplify (+ 0 0) into 0 17.070 * [backup-simplify]: Simplify 0 into 0 17.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 17.077 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 17.078 * [backup-simplify]: Simplify (+ 0 0) into 0 17.078 * [backup-simplify]: Simplify 0 into 0 17.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 17.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 17.081 * [backup-simplify]: Simplify (+ 0 0) into 0 17.081 * [backup-simplify]: Simplify 0 into 0 17.081 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 17.081 * [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) 17.081 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in (x) around 0 17.081 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 17.081 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 17.081 * [taylor]: Taking taylor expansion of 1/2 in x 17.081 * [backup-simplify]: Simplify 1/2 into 1/2 17.081 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 17.081 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 17.081 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 17.082 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 17.082 * [taylor]: Taking taylor expansion of 1/2 in x 17.082 * [backup-simplify]: Simplify 1/2 into 1/2 17.082 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 17.082 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 17.082 * [taylor]: Taking taylor expansion of 1/2 in x 17.082 * [backup-simplify]: Simplify 1/2 into 1/2 17.082 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 17.082 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 17.082 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 17.082 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 17.082 * [taylor]: Taking taylor expansion of 1/2 in x 17.082 * [backup-simplify]: Simplify 1/2 into 1/2 17.082 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 17.082 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 17.082 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 17.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.083 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 17.083 * [backup-simplify]: Simplify (+ 0 0) into 0 17.084 * [backup-simplify]: Simplify 0 into 0 17.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.085 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))) into 0 17.085 * [backup-simplify]: Simplify (+ 0 0) into 0 17.085 * [backup-simplify]: Simplify 0 into 0 17.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))) into 0 17.087 * [backup-simplify]: Simplify (+ 0 0) into 0 17.087 * [backup-simplify]: Simplify 0 into 0 17.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))) into 0 17.089 * [backup-simplify]: Simplify (+ 0 0) into 0 17.089 * [backup-simplify]: Simplify 0 into 0 17.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))))) into 0 17.092 * [backup-simplify]: Simplify (+ 0 0) into 0 17.092 * [backup-simplify]: Simplify 0 into 0 17.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.095 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))))) into 0 17.095 * [backup-simplify]: Simplify (+ 0 0) into 0 17.095 * [backup-simplify]: Simplify 0 into 0 17.095 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 (/ 1 (/ 1 x))))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 17.096 * [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) 17.096 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in (x) around 0 17.096 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 17.096 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 17.096 * [taylor]: Taking taylor expansion of 1/2 in x 17.096 * [backup-simplify]: Simplify 1/2 into 1/2 17.096 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 17.096 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 17.096 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 17.096 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 17.096 * [taylor]: Taking taylor expansion of 1/2 in x 17.096 * [backup-simplify]: Simplify 1/2 into 1/2 17.096 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 17.096 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 17.096 * [taylor]: Taking taylor expansion of 1/2 in x 17.096 * [backup-simplify]: Simplify 1/2 into 1/2 17.096 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 17.096 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 17.096 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 17.097 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 17.097 * [taylor]: Taking taylor expansion of 1/2 in x 17.097 * [backup-simplify]: Simplify 1/2 into 1/2 17.097 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 17.097 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 17.097 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 17.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 17.098 * [backup-simplify]: Simplify (+ 0 0) into 0 17.098 * [backup-simplify]: Simplify 0 into 0 17.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))) into 0 17.100 * [backup-simplify]: Simplify (+ 0 0) into 0 17.100 * [backup-simplify]: Simplify 0 into 0 17.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.101 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))) into 0 17.102 * [backup-simplify]: Simplify (+ 0 0) into 0 17.102 * [backup-simplify]: Simplify 0 into 0 17.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.104 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))) into 0 17.104 * [backup-simplify]: Simplify (+ 0 0) into 0 17.104 * [backup-simplify]: Simplify 0 into 0 17.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))))) into 0 17.107 * [backup-simplify]: Simplify (+ 0 0) into 0 17.107 * [backup-simplify]: Simplify 0 into 0 17.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.110 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))))) into 0 17.111 * [backup-simplify]: Simplify (+ 0 0) into 0 17.111 * [backup-simplify]: Simplify 0 into 0 17.111 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 (/ -1 (/ 1 (- x)))))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 17.111 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 17.112 * [backup-simplify]: Simplify (* (+ 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))))) into (* (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 17.112 * [approximate]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in (x) around 0 17.112 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 17.112 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) in x 17.112 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 17.112 * [taylor]: Taking taylor expansion of 1/2 in x 17.112 * [backup-simplify]: Simplify 1/2 into 1/2 17.112 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 17.112 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 17.112 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 17.112 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 17.112 * [taylor]: Taking taylor expansion of 3/2 in x 17.112 * [backup-simplify]: Simplify 3/2 into 3/2 17.112 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 17.112 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 17.112 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 17.112 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 17.112 * [taylor]: Taking taylor expansion of 1/2 in x 17.112 * [backup-simplify]: Simplify 1/2 into 1/2 17.112 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 17.112 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 17.113 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 17.113 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 17.113 * [taylor]: Taking taylor expansion of 1/2 in x 17.113 * [backup-simplify]: Simplify 1/2 into 1/2 17.113 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 17.113 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 17.113 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 17.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 17.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 17.114 * [backup-simplify]: Simplify (+ 0 0) into 0 17.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 17.114 * [taylor]: Taking taylor expansion of 1 in x 17.114 * [backup-simplify]: Simplify 1 into 1 17.114 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 17.114 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) in x 17.114 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 17.114 * [taylor]: Taking taylor expansion of 1/2 in x 17.114 * [backup-simplify]: Simplify 1/2 into 1/2 17.115 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 17.115 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 17.115 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 17.115 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 17.115 * [taylor]: Taking taylor expansion of 3/2 in x 17.115 * [backup-simplify]: Simplify 3/2 into 3/2 17.115 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 17.115 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 17.115 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 17.115 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 17.115 * [taylor]: Taking taylor expansion of 1/2 in x 17.115 * [backup-simplify]: Simplify 1/2 into 1/2 17.115 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 17.115 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 17.115 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 17.115 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 17.115 * [taylor]: Taking taylor expansion of 1/2 in x 17.115 * [backup-simplify]: Simplify 1/2 into 1/2 17.115 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 17.115 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 17.115 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 17.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 17.116 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 17.117 * [backup-simplify]: Simplify (+ 0 0) into 0 17.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 17.117 * [taylor]: Taking taylor expansion of 1 in x 17.117 * [backup-simplify]: Simplify 1 into 1 17.117 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 17.117 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 3/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) 17.117 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 17.118 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) into (* (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 17.118 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) into (* (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 17.118 * [backup-simplify]: Simplify (+ 0 0) into 0 17.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 17.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 17.119 * [backup-simplify]: Simplify (+ 0 0) into 0 17.120 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) 0) (* 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) into 0 17.120 * [backup-simplify]: Simplify 0 into 0 17.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 17.121 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 17.121 * [backup-simplify]: Simplify (+ 0 0) into 0 17.122 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 17.123 * [backup-simplify]: Simplify (+ 0 0) into 0 17.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 17.124 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 17.124 * [backup-simplify]: Simplify (+ 0 0) into 0 17.125 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) 0) (+ (* 0 0) (* 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) into 0 17.125 * [backup-simplify]: Simplify 0 into 0 17.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 17.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 17.127 * [backup-simplify]: Simplify (+ 0 0) into 0 17.128 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 17.128 * [backup-simplify]: Simplify (+ 0 0) into 0 17.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 17.130 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 17.130 * [backup-simplify]: Simplify (+ 0 0) into 0 17.131 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 17.131 * [backup-simplify]: Simplify 0 into 0 17.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 17.133 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 17.134 * [backup-simplify]: Simplify (+ 0 0) into 0 17.135 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 17.135 * [backup-simplify]: Simplify (+ 0 0) into 0 17.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 17.137 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 17.137 * [backup-simplify]: Simplify (+ 0 0) into 0 17.139 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))))) into 0 17.139 * [backup-simplify]: Simplify 0 into 0 17.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 17.141 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 17.141 * [backup-simplify]: Simplify (+ 0 0) into 0 17.142 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 17.143 * [backup-simplify]: Simplify (+ 0 0) into 0 17.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 17.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 17.145 * [backup-simplify]: Simplify (+ 0 0) into 0 17.147 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))))) into 0 17.147 * [backup-simplify]: Simplify 0 into 0 17.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 17.150 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 17.150 * [backup-simplify]: Simplify (+ 0 0) into 0 17.151 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 17.151 * [backup-simplify]: Simplify (+ 0 0) into 0 17.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 17.154 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 17.154 * [backup-simplify]: Simplify (+ 0 0) into 0 17.156 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))))))) into 0 17.156 * [backup-simplify]: Simplify 0 into 0 17.157 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) into (* (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 17.157 * [backup-simplify]: Simplify (* (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))) (+ (* 1 1) (* (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)))) 3/2) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) 17.158 * [approximate]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in (x) around 0 17.158 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 17.158 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2) in x 17.158 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 17.158 * [taylor]: Taking taylor expansion of 1/2 in x 17.158 * [backup-simplify]: Simplify 1/2 into 1/2 17.158 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 17.158 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 17.158 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 17.158 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 17.158 * [taylor]: Taking taylor expansion of 3/2 in x 17.158 * [backup-simplify]: Simplify 3/2 into 3/2 17.158 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 17.158 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 17.158 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 17.158 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 17.158 * [taylor]: Taking taylor expansion of 1/2 in x 17.158 * [backup-simplify]: Simplify 1/2 into 1/2 17.158 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 17.158 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 17.158 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 17.158 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 17.158 * [taylor]: Taking taylor expansion of 1/2 in x 17.158 * [backup-simplify]: Simplify 1/2 into 1/2 17.159 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 17.159 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 17.159 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 17.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 17.160 * [backup-simplify]: Simplify (+ 0 0) into 0 17.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 17.160 * [taylor]: Taking taylor expansion of 1 in x 17.160 * [backup-simplify]: Simplify 1 into 1 17.160 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 17.160 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2) in x 17.160 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 17.160 * [taylor]: Taking taylor expansion of 1/2 in x 17.160 * [backup-simplify]: Simplify 1/2 into 1/2 17.160 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 17.160 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 17.160 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 17.160 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 17.160 * [taylor]: Taking taylor expansion of 3/2 in x 17.160 * [backup-simplify]: Simplify 3/2 into 3/2 17.160 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 17.160 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 17.160 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 17.160 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 17.160 * [taylor]: Taking taylor expansion of 1/2 in x 17.160 * [backup-simplify]: Simplify 1/2 into 1/2 17.160 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 17.160 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 17.160 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 17.160 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 17.160 * [taylor]: Taking taylor expansion of 1/2 in x 17.160 * [backup-simplify]: Simplify 1/2 into 1/2 17.160 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 17.161 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 17.161 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 17.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 17.161 * [backup-simplify]: Simplify (+ 0 0) into 0 17.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 17.161 * [taylor]: Taking taylor expansion of 1 in x 17.161 * [backup-simplify]: Simplify 1 into 1 17.162 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 17.162 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 3/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2) 17.162 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 17.162 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) into (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) 17.162 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) into (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) 17.162 * [backup-simplify]: Simplify (+ 0 0) into 0 17.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 17.163 * [backup-simplify]: Simplify (+ 0 0) into 0 17.163 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2) 0) (* 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) into 0 17.163 * [backup-simplify]: Simplify 0 into 0 17.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.164 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))) into 0 17.164 * [backup-simplify]: Simplify (+ 0 0) into 0 17.165 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 17.165 * [backup-simplify]: Simplify (+ 0 0) into 0 17.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))) into 0 17.166 * [backup-simplify]: Simplify (+ 0 0) into 0 17.166 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2) 0) (+ (* 0 0) (* 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) into 0 17.166 * [backup-simplify]: Simplify 0 into 0 17.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))) into 0 17.167 * [backup-simplify]: Simplify (+ 0 0) into 0 17.168 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 17.168 * [backup-simplify]: Simplify (+ 0 0) into 0 17.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))) into 0 17.169 * [backup-simplify]: Simplify (+ 0 0) into 0 17.170 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 17.170 * [backup-simplify]: Simplify 0 into 0 17.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))) into 0 17.172 * [backup-simplify]: Simplify (+ 0 0) into 0 17.172 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 17.172 * [backup-simplify]: Simplify (+ 0 0) into 0 17.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.174 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))) into 0 17.174 * [backup-simplify]: Simplify (+ 0 0) into 0 17.175 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))))) into 0 17.175 * [backup-simplify]: Simplify 0 into 0 17.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.176 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))))) into 0 17.176 * [backup-simplify]: Simplify (+ 0 0) into 0 17.177 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 17.177 * [backup-simplify]: Simplify (+ 0 0) into 0 17.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.179 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))))) into 0 17.179 * [backup-simplify]: Simplify (+ 0 0) into 0 17.180 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))))) into 0 17.180 * [backup-simplify]: Simplify 0 into 0 17.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))))) into 0 17.182 * [backup-simplify]: Simplify (+ 0 0) into 0 17.183 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 17.183 * [backup-simplify]: Simplify (+ 0 0) into 0 17.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 17.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))))) into 0 17.185 * [backup-simplify]: Simplify (+ 0 0) into 0 17.186 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))))))) into 0 17.186 * [backup-simplify]: Simplify 0 into 0 17.186 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 (/ 1 x))))) 3/2) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 (/ 1 x))))) 1/2)) 1)) into (* (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 17.187 * [backup-simplify]: Simplify (* (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))))) into (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 3/2)) 17.187 * [approximate]: Taking taylor expansion of (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 3/2)) in (x) around 0 17.187 * [taylor]: Taking taylor expansion of (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 3/2)) in x 17.187 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 17.187 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 17.187 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 17.187 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 17.187 * [taylor]: Taking taylor expansion of 1/2 in x 17.187 * [backup-simplify]: Simplify 1/2 into 1/2 17.187 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 17.187 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 17.187 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 17.187 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 17.187 * [taylor]: Taking taylor expansion of 1/2 in x 17.187 * [backup-simplify]: Simplify 1/2 into 1/2 17.187 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 17.187 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 17.188 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 17.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.188 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 17.188 * [backup-simplify]: Simplify (+ 0 0) into 0 17.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 17.188 * [taylor]: Taking taylor expansion of 1 in x 17.188 * [backup-simplify]: Simplify 1 into 1 17.188 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 3/2) in x 17.188 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 17.188 * [taylor]: Taking taylor expansion of 1/2 in x 17.188 * [backup-simplify]: Simplify 1/2 into 1/2 17.188 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 17.188 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 17.189 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 17.189 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 17.189 * [taylor]: Taking taylor expansion of 3/2 in x 17.189 * [backup-simplify]: Simplify 3/2 into 3/2 17.189 * [taylor]: Taking taylor expansion of (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 3/2)) in x 17.189 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 17.189 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 17.189 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 17.189 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 17.189 * [taylor]: Taking taylor expansion of 1/2 in x 17.189 * [backup-simplify]: Simplify 1/2 into 1/2 17.189 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 17.189 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 17.189 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 17.189 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 17.189 * [taylor]: Taking taylor expansion of 1/2 in x 17.189 * [backup-simplify]: Simplify 1/2 into 1/2 17.189 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 17.189 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 17.189 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 17.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.190 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 17.190 * [backup-simplify]: Simplify (+ 0 0) into 0 17.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 17.190 * [taylor]: Taking taylor expansion of 1 in x 17.190 * [backup-simplify]: Simplify 1 into 1 17.190 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 3/2) in x 17.190 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 17.190 * [taylor]: Taking taylor expansion of 1/2 in x 17.190 * [backup-simplify]: Simplify 1/2 into 1/2 17.190 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 17.190 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 17.190 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 17.190 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 17.190 * [taylor]: Taking taylor expansion of 3/2 in x 17.190 * [backup-simplify]: Simplify 3/2 into 3/2 17.190 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 17.190 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 17.191 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 3/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 3/2) 17.191 * [backup-simplify]: Simplify (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 3/2)) into (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 3/2)) 17.191 * [backup-simplify]: Simplify (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 3/2)) into (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 3/2)) 17.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.192 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 17.192 * [backup-simplify]: Simplify (+ 0 0) into 0 17.192 * [backup-simplify]: Simplify (+ 0 0) into 0 17.193 * [backup-simplify]: Simplify (+ (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 3/2))) into 0 17.193 * [backup-simplify]: Simplify 0 into 0 17.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))) into 0 17.199 * [backup-simplify]: Simplify (+ 0 0) into 0 17.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.201 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))) into 0 17.201 * [backup-simplify]: Simplify (+ 0 0) into 0 17.202 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 17.202 * [backup-simplify]: Simplify (+ 0 0) into 0 17.203 * [backup-simplify]: Simplify (+ (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 3/2)))) into 0 17.203 * [backup-simplify]: Simplify 0 into 0 17.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.204 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))) into 0 17.204 * [backup-simplify]: Simplify (+ 0 0) into 0 17.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))) into 0 17.206 * [backup-simplify]: Simplify (+ 0 0) into 0 17.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 17.206 * [backup-simplify]: Simplify (+ 0 0) into 0 17.207 * [backup-simplify]: Simplify (+ (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 3/2))))) into 0 17.207 * [backup-simplify]: Simplify 0 into 0 17.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.208 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))) into 0 17.208 * [backup-simplify]: Simplify (+ 0 0) into 0 17.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))) into 0 17.210 * [backup-simplify]: Simplify (+ 0 0) into 0 17.211 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 17.211 * [backup-simplify]: Simplify (+ 0 0) into 0 17.212 * [backup-simplify]: Simplify (+ (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 3/2)))))) into 0 17.212 * [backup-simplify]: Simplify 0 into 0 17.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.213 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))))) into 0 17.213 * [backup-simplify]: Simplify (+ 0 0) into 0 17.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.215 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))))) into 0 17.215 * [backup-simplify]: Simplify (+ 0 0) into 0 17.216 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 17.216 * [backup-simplify]: Simplify (+ 0 0) into 0 17.217 * [backup-simplify]: Simplify (+ (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 3/2))))))) into 0 17.217 * [backup-simplify]: Simplify 0 into 0 17.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))))) into 0 17.219 * [backup-simplify]: Simplify (+ 0 0) into 0 17.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 17.221 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))))) into 0 17.221 * [backup-simplify]: Simplify (+ 0 0) into 0 17.221 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 17.222 * [backup-simplify]: Simplify (+ 0 0) into 0 17.223 * [backup-simplify]: Simplify (+ (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 3/2)))))))) into 0 17.223 * [backup-simplify]: Simplify 0 into 0 17.223 * [backup-simplify]: Simplify (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 (/ 1 (- x)))))) 1/2)) 1) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 (/ 1 (- x)))))) 3/2)) into (* (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 17.223 * * * [progress]: simplifying candidates 17.223 * * * * [progress]: [ 1 / 233 ] simplifiying candidate # 17.224 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 17.224 * * [simplify]: iters left: 5 (6 enodes) 17.226 * * [simplify]: iters left: 4 (21 enodes) 17.229 * * [simplify]: iters left: 3 (23 enodes) 17.233 * * [simplify]: Extracting #0: cost 1 inf + 0 17.233 * * [simplify]: Extracting #1: cost 4 inf + 0 17.233 * * [simplify]: Extracting #2: cost 5 inf + 1 17.233 * * [simplify]: Extracting #3: cost 8 inf + 1 17.233 * * [simplify]: Extracting #4: cost 6 inf + 3 17.233 * * [simplify]: Extracting #5: cost 0 inf + 589 17.233 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 17.233 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (pow (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 1/2)))))) 17.233 * [simplify]: Simplifying (+ 1/2 1/2) 17.233 * * [simplify]: iters left: 2 (2 enodes) 17.235 * * [simplify]: iters left: 1 (7 enodes) 17.236 * * [simplify]: Extracting #0: cost 1 inf + 0 17.236 * * [simplify]: Extracting #1: cost 0 inf + 1 17.236 * [simplify]: Simplified to 1 17.236 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 1))))) 17.237 * * * * [progress]: [ 2 / 233 ] simplifiying candidate # 17.237 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 17.237 * * [simplify]: iters left: 5 (6 enodes) 17.240 * * [simplify]: iters left: 4 (21 enodes) 17.247 * * [simplify]: iters left: 3 (23 enodes) 17.254 * * [simplify]: Extracting #0: cost 1 inf + 0 17.254 * * [simplify]: Extracting #1: cost 4 inf + 0 17.254 * * [simplify]: Extracting #2: cost 5 inf + 1 17.254 * * [simplify]: Extracting #3: cost 8 inf + 1 17.254 * * [simplify]: Extracting #4: cost 6 inf + 3 17.254 * * [simplify]: Extracting #5: cost 0 inf + 589 17.255 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 17.255 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (pow (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1 2))))))) 17.255 * [simplify]: Simplifying (+ 1/2 (/ 1 2)) 17.255 * * [simplify]: iters left: 4 (5 enodes) 17.260 * * [simplify]: iters left: 3 (18 enodes) 17.268 * * [simplify]: iters left: 2 (20 enodes) 17.273 * * [simplify]: Extracting #0: cost 1 inf + 0 17.273 * * [simplify]: Extracting #1: cost 0 inf + 1 17.273 * [simplify]: Simplified to 1 17.273 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 1))))) 17.273 * * * * [progress]: [ 3 / 233 ] simplifiying candidate # 17.274 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 17.274 * * [simplify]: iters left: 6 (7 enodes) 17.277 * * [simplify]: iters left: 5 (24 enodes) 17.285 * * [simplify]: iters left: 4 (26 enodes) 17.293 * * [simplify]: Extracting #0: cost 1 inf + 0 17.293 * * [simplify]: Extracting #1: cost 3 inf + 0 17.293 * * [simplify]: Extracting #2: cost 6 inf + 0 17.294 * * [simplify]: Extracting #3: cost 7 inf + 1 17.294 * * [simplify]: Extracting #4: cost 10 inf + 1 17.294 * * [simplify]: Extracting #5: cost 6 inf + 117 17.294 * * [simplify]: Extracting #6: cost 2 inf + 629 17.294 * * [simplify]: Extracting #7: cost 0 inf + 945 17.295 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 17.295 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (pow (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 1)))))) 17.295 * [simplify]: Simplifying (+ 1 1) 17.295 * * [simplify]: iters left: 2 (2 enodes) 17.297 * * [simplify]: iters left: 1 (9 enodes) 17.300 * * [simplify]: Extracting #0: cost 1 inf + 0 17.300 * * [simplify]: Extracting #1: cost 0 inf + 1 17.300 * [simplify]: Simplified to 2 17.300 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 2))))) 17.301 * * * * [progress]: [ 4 / 233 ] simplifiying candidate # 17.301 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 17.301 * * [simplify]: iters left: 5 (6 enodes) 17.304 * * [simplify]: iters left: 4 (21 enodes) 17.311 * * [simplify]: iters left: 3 (23 enodes) 17.318 * * [simplify]: Extracting #0: cost 1 inf + 0 17.318 * * [simplify]: Extracting #1: cost 4 inf + 0 17.318 * * [simplify]: Extracting #2: cost 5 inf + 1 17.318 * * [simplify]: Extracting #3: cost 8 inf + 1 17.318 * * [simplify]: Extracting #4: cost 6 inf + 3 17.318 * * [simplify]: Extracting #5: cost 0 inf + 589 17.319 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 17.319 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (pow (+ 1/2 (/ 1/2 (hypot 1 x))) (+ (/ 1 2) 1/2)))))) 17.319 * [simplify]: Simplifying (+ (/ 1 2) 1/2) 17.319 * * [simplify]: iters left: 4 (5 enodes) 17.330 * * [simplify]: iters left: 3 (18 enodes) 17.336 * * [simplify]: iters left: 2 (20 enodes) 17.341 * * [simplify]: Extracting #0: cost 1 inf + 0 17.341 * * [simplify]: Extracting #1: cost 0 inf + 1 17.341 * [simplify]: Simplified to 1 17.341 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 1))))) 17.342 * * * * [progress]: [ 5 / 233 ] simplifiying candidate # 17.342 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 17.342 * * [simplify]: iters left: 5 (6 enodes) 17.346 * * [simplify]: iters left: 4 (21 enodes) 17.352 * * [simplify]: iters left: 3 (23 enodes) 17.359 * * [simplify]: Extracting #0: cost 1 inf + 0 17.359 * * [simplify]: Extracting #1: cost 4 inf + 0 17.359 * * [simplify]: Extracting #2: cost 5 inf + 1 17.359 * * [simplify]: Extracting #3: cost 8 inf + 1 17.359 * * [simplify]: Extracting #4: cost 6 inf + 3 17.360 * * [simplify]: Extracting #5: cost 0 inf + 589 17.360 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 17.360 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (pow (+ 1/2 (/ 1/2 (hypot 1 x))) (+ (/ 1 2) (/ 1 2))))))) 17.360 * [simplify]: Simplifying (+ (/ 1 2) (/ 1 2)) 17.360 * * [simplify]: iters left: 4 (4 enodes) 17.364 * * [simplify]: iters left: 3 (15 enodes) 17.369 * * [simplify]: iters left: 2 (17 enodes) 17.374 * * [simplify]: Extracting #0: cost 1 inf + 0 17.374 * * [simplify]: Extracting #1: cost 0 inf + 1 17.374 * [simplify]: Simplified to 1 17.374 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 1))))) 17.374 * * * * [progress]: [ 6 / 233 ] simplifiying candidate # 17.374 * [simplify]: Simplifying (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) 17.374 * * [simplify]: iters left: 6 (7 enodes) 17.378 * * [simplify]: iters left: 5 (30 enodes) 17.390 * * [simplify]: iters left: 4 (57 enodes) 17.408 * * [simplify]: iters left: 3 (84 enodes) 17.431 * * [simplify]: iters left: 2 (117 enodes) 17.451 * * [simplify]: iters left: 1 (161 enodes) 17.478 * * [simplify]: Extracting #0: cost 1 inf + 0 17.479 * * [simplify]: Extracting #1: cost 26 inf + 0 17.479 * * [simplify]: Extracting #2: cost 81 inf + 2 17.479 * * [simplify]: Extracting #3: cost 99 inf + 3 17.479 * * [simplify]: Extracting #4: cost 97 inf + 61 17.482 * * [simplify]: Extracting #5: cost 42 inf + 7889 17.488 * * [simplify]: Extracting #6: cost 6 inf + 14381 17.494 * * [simplify]: Extracting #7: cost 0 inf + 15650 17.501 * [simplify]: Simplified to (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 17.501 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (pow (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 1/2))))) 17.501 * * * * [progress]: [ 7 / 233 ] simplifiying candidate # 17.501 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 17.502 * * [simplify]: iters left: 6 (8 enodes) 17.506 * * [simplify]: iters left: 5 (25 enodes) 17.511 * * [simplify]: iters left: 4 (28 enodes) 17.515 * * [simplify]: Extracting #0: cost 1 inf + 0 17.515 * * [simplify]: Extracting #1: cost 5 inf + 0 17.515 * * [simplify]: Extracting #2: cost 7 inf + 1 17.515 * * [simplify]: Extracting #3: cost 10 inf + 1 17.515 * * [simplify]: Extracting #4: cost 8 inf + 3 17.516 * * [simplify]: Extracting #5: cost 3 inf + 491 17.516 * * [simplify]: Extracting #6: cost 1 inf + 767 17.516 * * [simplify]: Extracting #7: cost 0 inf + 945 17.516 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 17.516 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (pow (+ 1/2 (/ 1/2 (hypot 1 x))) 1))))) 17.516 * * * * [progress]: [ 8 / 233 ] simplifiying candidate # 17.517 * [simplify]: Simplifying (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) 17.517 * * [simplify]: iters left: 6 (7 enodes) 17.519 * * [simplify]: iters left: 5 (30 enodes) 17.525 * * [simplify]: iters left: 4 (57 enodes) 17.534 * * [simplify]: iters left: 3 (84 enodes) 17.549 * * [simplify]: iters left: 2 (117 enodes) 17.566 * * [simplify]: iters left: 1 (161 enodes) 17.614 * * [simplify]: Extracting #0: cost 1 inf + 0 17.614 * * [simplify]: Extracting #1: cost 26 inf + 0 17.615 * * [simplify]: Extracting #2: cost 81 inf + 2 17.615 * * [simplify]: Extracting #3: cost 99 inf + 3 17.616 * * [simplify]: Extracting #4: cost 97 inf + 61 17.618 * * [simplify]: Extracting #5: cost 42 inf + 7889 17.624 * * [simplify]: Extracting #6: cost 6 inf + 14381 17.630 * * [simplify]: Extracting #7: cost 0 inf + 15650 17.637 * [simplify]: Simplified to (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 17.637 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (pow (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (/ 1 2)))))) 17.637 * [simplify]: Simplifying (/ 1 2) 17.637 * * [simplify]: iters left: 2 (3 enodes) 17.641 * * [simplify]: iters left: 1 (12 enodes) 17.645 * * [simplify]: Extracting #0: cost 1 inf + 0 17.645 * * [simplify]: Extracting #1: cost 0 inf + 1 17.645 * [simplify]: Simplified to 1/2 17.645 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (pow (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) 1/2))))) 17.645 * * * * [progress]: [ 9 / 233 ] simplifiying candidate # 17.645 * * * * [progress]: [ 10 / 233 ] simplifiying candidate # 17.646 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 17.646 * * [simplify]: iters left: 6 (7 enodes) 17.649 * * [simplify]: iters left: 5 (24 enodes) 17.657 * * [simplify]: iters left: 4 (26 enodes) 17.665 * * [simplify]: Extracting #0: cost 1 inf + 0 17.665 * * [simplify]: Extracting #1: cost 3 inf + 0 17.665 * * [simplify]: Extracting #2: cost 6 inf + 0 17.665 * * [simplify]: Extracting #3: cost 7 inf + 1 17.665 * * [simplify]: Extracting #4: cost 10 inf + 1 17.666 * * [simplify]: Extracting #5: cost 6 inf + 117 17.666 * * [simplify]: Extracting #6: cost 2 inf + 629 17.666 * * [simplify]: Extracting #7: cost 0 inf + 945 17.666 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 17.667 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (pow (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 1)))))) 17.667 * * * * [progress]: [ 11 / 233 ] simplifiying candidate # 17.667 * * * * [progress]: [ 12 / 233 ] simplifiying candidate # 17.667 * [simplify]: Simplifying (+ (log (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (log (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 17.667 * * [simplify]: iters left: 6 (9 enodes) 17.673 * * [simplify]: iters left: 5 (30 enodes) 17.685 * * [simplify]: iters left: 4 (32 enodes) 17.695 * * [simplify]: Extracting #0: cost 1 inf + 0 17.695 * * [simplify]: Extracting #1: cost 3 inf + 0 17.695 * * [simplify]: Extracting #2: cost 5 inf + 0 17.695 * * [simplify]: Extracting #3: cost 7 inf + 0 17.695 * * [simplify]: Extracting #4: cost 10 inf + 0 17.695 * * [simplify]: Extracting #5: cost 11 inf + 1 17.695 * * [simplify]: Extracting #6: cost 14 inf + 1 17.695 * * [simplify]: Extracting #7: cost 10 inf + 117 17.695 * * [simplify]: Extracting #8: cost 8 inf + 353 17.696 * * [simplify]: Extracting #9: cost 4 inf + 1015 17.696 * * [simplify]: Extracting #10: cost 0 inf + 2017 17.697 * [simplify]: Simplified to (+ (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 17.697 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (exp (+ (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 17.697 * * * * [progress]: [ 13 / 233 ] simplifiying candidate # 17.697 * * * * [progress]: [ 14 / 233 ] simplifiying candidate # 17.697 * * * * [progress]: [ 15 / 233 ] simplifiying candidate # 17.698 * [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)))) 17.698 * * [simplify]: iters left: 6 (10 enodes) 17.704 * * [simplify]: iters left: 5 (38 enodes) 17.715 * * [simplify]: iters left: 4 (85 enodes) 17.752 * * [simplify]: iters left: 3 (312 enodes) 17.854 * * [simplify]: Extracting #0: cost 1 inf + 0 17.854 * * [simplify]: Extracting #1: cost 25 inf + 0 17.855 * * [simplify]: Extracting #2: cost 117 inf + 2 17.855 * * [simplify]: Extracting #3: cost 157 inf + 6 17.856 * * [simplify]: Extracting #4: cost 144 inf + 1480 17.859 * * [simplify]: Extracting #5: cost 92 inf + 12691 17.866 * * [simplify]: Extracting #6: cost 23 inf + 32693 17.876 * * [simplify]: Extracting #7: cost 0 inf + 39973 17.893 * [simplify]: Simplified to (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 17.893 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (cbrt (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 17.894 * * * * [progress]: [ 16 / 233 ] simplifiying candidate # 17.894 * * * * [progress]: [ 17 / 233 ] simplifiying candidate # 17.894 * * * * [progress]: [ 18 / 233 ] simplifiying candidate # 17.894 * [simplify]: Simplifying (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) 17.894 * * [simplify]: iters left: 6 (7 enodes) 17.899 * * [simplify]: iters left: 5 (30 enodes) 17.909 * * [simplify]: iters left: 4 (57 enodes) 17.918 * * [simplify]: iters left: 3 (84 enodes) 17.931 * * [simplify]: iters left: 2 (117 enodes) 17.964 * * [simplify]: iters left: 1 (161 enodes) 17.994 * * [simplify]: Extracting #0: cost 1 inf + 0 17.994 * * [simplify]: Extracting #1: cost 26 inf + 0 17.994 * * [simplify]: Extracting #2: cost 81 inf + 2 17.994 * * [simplify]: Extracting #3: cost 99 inf + 3 17.995 * * [simplify]: Extracting #4: cost 97 inf + 61 17.996 * * [simplify]: Extracting #5: cost 42 inf + 7889 17.999 * * [simplify]: Extracting #6: cost 6 inf + 14381 18.002 * * [simplify]: Extracting #7: cost 0 inf + 15650 18.005 * [simplify]: Simplified to (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 18.005 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (sqrt (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 18.005 * * * * [progress]: [ 19 / 233 ] simplifiying candidate # 18.005 * * * * [progress]: [ 20 / 233 ] simplifiying candidate # 18.006 * [simplify]: Simplifying (/ 1/2 (hypot 1 x)) 18.006 * * [simplify]: iters left: 3 (5 enodes) 18.008 * * [simplify]: iters left: 2 (17 enodes) 18.013 * * [simplify]: iters left: 1 (19 enodes) 18.020 * * [simplify]: Extracting #0: cost 1 inf + 0 18.020 * * [simplify]: Extracting #1: cost 4 inf + 0 18.020 * * [simplify]: Extracting #2: cost 6 inf + 1 18.020 * * [simplify]: Extracting #3: cost 0 inf + 313 18.020 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 18.020 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (+ (/ 1/2 (hypot 1 x)) 1/2))))) 18.021 * * * * [progress]: [ 21 / 233 ] simplifiying candidate # 18.021 * [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)))) 18.021 * * [simplify]: iters left: 6 (11 enodes) 18.030 * * [simplify]: iters left: 5 (51 enodes) 18.050 * * [simplify]: iters left: 4 (94 enodes) 18.090 * * [simplify]: iters left: 3 (184 enodes) 18.139 * * [simplify]: iters left: 2 (310 enodes) 18.303 * * [simplify]: Extracting #0: cost 1 inf + 0 18.303 * * [simplify]: Extracting #1: cost 5 inf + 0 18.303 * * [simplify]: Extracting #2: cost 45 inf + 1 18.303 * * [simplify]: Extracting #3: cost 101 inf + 5 18.304 * * [simplify]: Extracting #4: cost 88 inf + 2085 18.306 * * [simplify]: Extracting #5: cost 19 inf + 23244 18.310 * * [simplify]: Extracting #6: cost 0 inf + 32311 18.314 * * [simplify]: Extracting #7: cost 0 inf + 32180 18.318 * [simplify]: Simplified to (+ 1/8 (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)))) 18.318 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (/ (+ 1/8 (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (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)))))))))) 18.319 * [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))))) 18.319 * * [simplify]: iters left: 6 (12 enodes) 18.323 * * [simplify]: iters left: 5 (48 enodes) 18.332 * * [simplify]: iters left: 4 (87 enodes) 18.355 * * [simplify]: iters left: 3 (126 enodes) 18.381 * * [simplify]: iters left: 2 (169 enodes) 18.432 * * [simplify]: iters left: 1 (256 enodes) 18.515 * * [simplify]: Extracting #0: cost 1 inf + 0 18.515 * * [simplify]: Extracting #1: cost 18 inf + 0 18.516 * * [simplify]: Extracting #2: cost 58 inf + 2 18.516 * * [simplify]: Extracting #3: cost 77 inf + 4 18.516 * * [simplify]: Extracting #4: cost 75 inf + 6 18.517 * * [simplify]: Extracting #5: cost 49 inf + 3272 18.520 * * [simplify]: Extracting #6: cost 10 inf + 9818 18.523 * * [simplify]: Extracting #7: cost 1 inf + 11658 18.527 * * [simplify]: Extracting #8: cost 0 inf + 11916 18.533 * * [simplify]: Extracting #9: cost 0 inf + 11915 18.539 * [simplify]: Simplified to (- 1/4 (/ (- 1/4 (/ 1/4 (hypot 1 x))) (hypot 1 x))) 18.540 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (/ (+ 1/8 (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)))) (- 1/4 (/ (- 1/4 (/ 1/4 (hypot 1 x))) (hypot 1 x)))))))) 18.540 * * * * [progress]: [ 22 / 233 ] simplifiying candidate # 18.540 * [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)))) 18.541 * * [simplify]: iters left: 6 (15 enodes) 18.553 * * [simplify]: iters left: 5 (74 enodes) 18.582 * * [simplify]: iters left: 4 (136 enodes) 18.643 * * [simplify]: iters left: 3 (244 enodes) 18.705 * * [simplify]: iters left: 2 (436 enodes) 18.850 * * [simplify]: Extracting #0: cost 1 inf + 0 18.850 * * [simplify]: Extracting #1: cost 4 inf + 0 18.850 * * [simplify]: Extracting #2: cost 8 inf + 0 18.851 * * [simplify]: Extracting #3: cost 29 inf + 0 18.851 * * [simplify]: Extracting #4: cost 75 inf + 3 18.852 * * [simplify]: Extracting #5: cost 126 inf + 7 18.853 * * [simplify]: Extracting #6: cost 110 inf + 2632 18.860 * * [simplify]: Extracting #7: cost 28 inf + 24570 18.870 * * [simplify]: Extracting #8: cost 0 inf + 36358 18.880 * * [simplify]: Extracting #9: cost 0 inf + 36279 18.890 * [simplify]: Simplified to (* (sqrt (+ 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (sqrt (+ -1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) 18.890 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (/ (* (sqrt (+ 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (sqrt (+ -1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (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)))))))) 18.891 * [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))) 18.891 * * [simplify]: iters left: 6 (14 enodes) 18.900 * * [simplify]: iters left: 5 (60 enodes) 18.919 * * [simplify]: iters left: 4 (98 enodes) 18.953 * * [simplify]: iters left: 3 (140 enodes) 18.972 * * [simplify]: iters left: 2 (184 enodes) 19.012 * * [simplify]: iters left: 1 (265 enodes) 19.066 * * [simplify]: Extracting #0: cost 1 inf + 0 19.066 * * [simplify]: Extracting #1: cost 4 inf + 0 19.066 * * [simplify]: Extracting #2: cost 8 inf + 0 19.066 * * [simplify]: Extracting #3: cost 27 inf + 0 19.067 * * [simplify]: Extracting #4: cost 61 inf + 3 19.067 * * [simplify]: Extracting #5: cost 80 inf + 4 19.068 * * [simplify]: Extracting #6: cost 78 inf + 6 19.069 * * [simplify]: Extracting #7: cost 51 inf + 3209 19.074 * * [simplify]: Extracting #8: cost 11 inf + 10695 19.081 * * [simplify]: Extracting #9: cost 0 inf + 12573 19.088 * [simplify]: Simplified to (* (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ 1/4 (* (/ 1/2 (hypot 1 x)) (- (/ 1/2 (hypot 1 x)) 1/2))))) 19.088 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (/ (* (sqrt (+ 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (sqrt (+ -1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (* (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ 1/4 (* (/ 1/2 (hypot 1 x)) (- (/ 1/2 (hypot 1 x)) 1/2)))))))))) 19.089 * * * * [progress]: [ 23 / 233 ] simplifiying candidate # 19.089 * [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)))) 19.089 * * [simplify]: iters left: 6 (15 enodes) 19.101 * * [simplify]: iters left: 5 (73 enodes) 19.130 * * [simplify]: iters left: 4 (138 enodes) 19.191 * * [simplify]: iters left: 3 (246 enodes) 19.269 * * [simplify]: iters left: 2 (437 enodes) 19.405 * * [simplify]: Extracting #0: cost 1 inf + 0 19.405 * * [simplify]: Extracting #1: cost 4 inf + 0 19.405 * * [simplify]: Extracting #2: cost 8 inf + 0 19.405 * * [simplify]: Extracting #3: cost 27 inf + 0 19.405 * * [simplify]: Extracting #4: cost 73 inf + 3 19.406 * * [simplify]: Extracting #5: cost 124 inf + 7 19.407 * * [simplify]: Extracting #6: cost 108 inf + 2068 19.410 * * [simplify]: Extracting #7: cost 29 inf + 21658 19.414 * * [simplify]: Extracting #8: cost 1 inf + 34623 19.424 * * [simplify]: Extracting #9: cost 0 inf + 35645 19.434 * [simplify]: Simplified to (* (sqrt (+ 1/8 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (sqrt (+ -1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) 19.434 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (/ (* (sqrt (+ 1/8 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (sqrt (+ -1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (* (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)))))))))) 19.435 * [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))))) 19.435 * * [simplify]: iters left: 6 (14 enodes) 19.449 * * [simplify]: iters left: 5 (60 enodes) 19.469 * * [simplify]: iters left: 4 (98 enodes) 19.488 * * [simplify]: iters left: 3 (141 enodes) 19.509 * * [simplify]: iters left: 2 (184 enodes) 19.567 * * [simplify]: iters left: 1 (265 enodes) 19.630 * * [simplify]: Extracting #0: cost 1 inf + 0 19.630 * * [simplify]: Extracting #1: cost 4 inf + 0 19.630 * * [simplify]: Extracting #2: cost 8 inf + 0 19.630 * * [simplify]: Extracting #3: cost 27 inf + 0 19.630 * * [simplify]: Extracting #4: cost 61 inf + 3 19.631 * * [simplify]: Extracting #5: cost 80 inf + 4 19.631 * * [simplify]: Extracting #6: cost 78 inf + 6 19.633 * * [simplify]: Extracting #7: cost 57 inf + 2702 19.638 * * [simplify]: Extracting #8: cost 7 inf + 11288 19.645 * * [simplify]: Extracting #9: cost 0 inf + 12574 19.652 * * [simplify]: Extracting #10: cost 0 inf + 12573 19.655 * [simplify]: Simplified to (* (sqrt (+ 1/4 (* (/ 1/2 (hypot 1 x)) (- (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2))) 19.655 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (/ (* (sqrt (+ 1/8 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (sqrt (+ -1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (* (sqrt (+ 1/4 (* (/ 1/2 (hypot 1 x)) (- (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)))))))) 19.656 * * * * [progress]: [ 24 / 233 ] simplifiying candidate # 19.656 * [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)))) 19.656 * * [simplify]: iters left: 6 (10 enodes) 19.662 * * [simplify]: iters left: 5 (40 enodes) 19.669 * * [simplify]: iters left: 4 (63 enodes) 19.679 * * [simplify]: iters left: 3 (81 enodes) 19.700 * * [simplify]: iters left: 2 (122 enodes) 19.737 * * [simplify]: iters left: 1 (162 enodes) 19.762 * * [simplify]: Extracting #0: cost 1 inf + 0 19.762 * * [simplify]: Extracting #1: cost 20 inf + 0 19.762 * * [simplify]: Extracting #2: cost 45 inf + 2 19.763 * * [simplify]: Extracting #3: cost 54 inf + 4 19.763 * * [simplify]: Extracting #4: cost 52 inf + 6 19.763 * * [simplify]: Extracting #5: cost 34 inf + 2167 19.767 * * [simplify]: Extracting #6: cost 7 inf + 6700 19.769 * * [simplify]: Extracting #7: cost 0 inf + 8110 19.771 * [simplify]: Simplified to (- (/ 1/4 (* (hypot 1 x) (hypot 1 x))) 1/4) 19.771 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (/ (- (/ 1/4 (* (hypot 1 x) (hypot 1 x))) 1/4) (* (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)))))))) 19.772 * [simplify]: Simplifying (* (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2))) 19.772 * * [simplify]: iters left: 6 (8 enodes) 19.775 * * [simplify]: iters left: 5 (27 enodes) 19.780 * * [simplify]: iters left: 4 (32 enodes) 19.785 * * [simplify]: Extracting #0: cost 1 inf + 0 19.785 * * [simplify]: Extracting #1: cost 6 inf + 0 19.785 * * [simplify]: Extracting #2: cost 7 inf + 2 19.785 * * [simplify]: Extracting #3: cost 10 inf + 2 19.786 * * [simplify]: Extracting #4: cost 8 inf + 4 19.786 * * [simplify]: Extracting #5: cost 3 inf + 532 19.786 * * [simplify]: Extracting #6: cost 0 inf + 946 19.786 * [simplify]: Simplified to (- (/ 1/2 (hypot 1 x)) 1/2) 19.787 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (/ (- (/ 1/4 (* (hypot 1 x) (hypot 1 x))) 1/4) (- (/ 1/2 (hypot 1 x)) 1/2)))))) 19.787 * * * * [progress]: [ 25 / 233 ] simplifiying candidate # 19.787 * * * * [progress]: [ 26 / 233 ] simplifiying candidate # 19.787 * [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))))) 19.788 * * [simplify]: iters left: 6 (10 enodes) 19.793 * * [simplify]: iters left: 5 (37 enodes) 19.805 * * [simplify]: iters left: 4 (43 enodes) 19.816 * * [simplify]: iters left: 3 (53 enodes) 19.826 * * [simplify]: iters left: 2 (73 enodes) 19.841 * * [simplify]: iters left: 1 (119 enodes) 19.871 * * [simplify]: Extracting #0: cost 1 inf + 0 19.871 * * [simplify]: Extracting #1: cost 13 inf + 0 19.871 * * [simplify]: Extracting #2: cost 40 inf + 1 19.872 * * [simplify]: Extracting #3: cost 41 inf + 7 19.872 * * [simplify]: Extracting #4: cost 41 inf + 10 19.872 * * [simplify]: Extracting #5: cost 42 inf + 11 19.873 * * [simplify]: Extracting #6: cost 29 inf + 2397 19.877 * * [simplify]: Extracting #7: cost 10 inf + 12311 19.882 * * [simplify]: Extracting #8: cost 0 inf + 18798 19.886 * [simplify]: Simplified to (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 19.887 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 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))))))))) 19.887 * [simplify]: Simplifying (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 19.887 * * [simplify]: iters left: 6 (9 enodes) 19.890 * * [simplify]: iters left: 5 (30 enodes) 19.895 * * [simplify]: iters left: 4 (32 enodes) 19.900 * * [simplify]: Extracting #0: cost 1 inf + 0 19.900 * * [simplify]: Extracting #1: cost 3 inf + 0 19.900 * * [simplify]: Extracting #2: cost 5 inf + 0 19.900 * * [simplify]: Extracting #3: cost 7 inf + 0 19.900 * * [simplify]: Extracting #4: cost 10 inf + 0 19.900 * * [simplify]: Extracting #5: cost 11 inf + 1 19.900 * * [simplify]: Extracting #6: cost 14 inf + 1 19.900 * * [simplify]: Extracting #7: cost 10 inf + 117 19.900 * * [simplify]: Extracting #8: cost 8 inf + 353 19.900 * * [simplify]: Extracting #9: cost 4 inf + 1025 19.901 * * [simplify]: Extracting #10: cost 0 inf + 2057 19.901 * [simplify]: Simplified to (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 19.901 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 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))))))))))) 19.901 * * * * [progress]: [ 27 / 233 ] simplifiying candidate # 19.901 * [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))))) 19.902 * * [simplify]: iters left: 6 (10 enodes) 19.904 * * [simplify]: iters left: 5 (32 enodes) 19.909 * * [simplify]: iters left: 4 (35 enodes) 19.915 * * [simplify]: Extracting #0: cost 1 inf + 0 19.915 * * [simplify]: Extracting #1: cost 4 inf + 0 19.915 * * [simplify]: Extracting #2: cost 7 inf + 0 19.915 * * [simplify]: Extracting #3: cost 10 inf + 0 19.915 * * [simplify]: Extracting #4: cost 11 inf + 1 19.915 * * [simplify]: Extracting #5: cost 14 inf + 1 19.915 * * [simplify]: Extracting #6: cost 11 inf + 60 19.915 * * [simplify]: Extracting #7: cost 8 inf + 353 19.915 * * [simplify]: Extracting #8: cost 1 inf + 1799 19.915 * * [simplify]: Extracting #9: cost 0 inf + 2057 19.916 * [simplify]: Simplified to (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 19.916 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 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))))))))) 19.916 * [simplify]: Simplifying (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 19.916 * * [simplify]: iters left: 6 (9 enodes) 19.919 * * [simplify]: iters left: 5 (28 enodes) 19.925 * * [simplify]: iters left: 4 (31 enodes) 19.930 * * [simplify]: Extracting #0: cost 1 inf + 0 19.930 * * [simplify]: Extracting #1: cost 4 inf + 0 19.930 * * [simplify]: Extracting #2: cost 8 inf + 0 19.930 * * [simplify]: Extracting #3: cost 9 inf + 1 19.931 * * [simplify]: Extracting #4: cost 12 inf + 1 19.931 * * [simplify]: Extracting #5: cost 8 inf + 117 19.931 * * [simplify]: Extracting #6: cost 6 inf + 353 19.931 * * [simplify]: Extracting #7: cost 2 inf + 1065 19.931 * * [simplify]: Extracting #8: cost 0 inf + 1541 19.931 * [simplify]: Simplified to (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 19.931 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 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))))))))) 19.932 * * * * [progress]: [ 28 / 233 ] simplifiying candidate # 19.932 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 19.932 * * [simplify]: iters left: 6 (9 enodes) 19.934 * * [simplify]: iters left: 5 (28 enodes) 19.939 * * [simplify]: iters left: 4 (31 enodes) 19.944 * * [simplify]: Extracting #0: cost 1 inf + 0 19.944 * * [simplify]: Extracting #1: cost 4 inf + 0 19.944 * * [simplify]: Extracting #2: cost 8 inf + 0 19.944 * * [simplify]: Extracting #3: cost 9 inf + 1 19.944 * * [simplify]: Extracting #4: cost 12 inf + 1 19.944 * * [simplify]: Extracting #5: cost 8 inf + 117 19.944 * * [simplify]: Extracting #6: cost 6 inf + 353 19.944 * * [simplify]: Extracting #7: cost 2 inf + 985 19.944 * * [simplify]: Extracting #8: cost 0 inf + 1381 19.945 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 19.945 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 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))))))))) 19.945 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 19.945 * * [simplify]: iters left: 6 (9 enodes) 19.948 * * [simplify]: iters left: 5 (28 enodes) 19.952 * * [simplify]: iters left: 4 (31 enodes) 19.958 * * [simplify]: Extracting #0: cost 1 inf + 0 19.958 * * [simplify]: Extracting #1: cost 4 inf + 0 19.958 * * [simplify]: Extracting #2: cost 8 inf + 0 19.958 * * [simplify]: Extracting #3: cost 9 inf + 1 19.958 * * [simplify]: Extracting #4: cost 12 inf + 1 19.958 * * [simplify]: Extracting #5: cost 8 inf + 117 19.958 * * [simplify]: Extracting #6: cost 6 inf + 353 19.959 * * [simplify]: Extracting #7: cost 2 inf + 985 19.959 * * [simplify]: Extracting #8: cost 0 inf + 1381 19.960 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 19.960 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 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))))))))) 19.960 * * * * [progress]: [ 29 / 233 ] simplifiying candidate # 19.960 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 19.960 * * [simplify]: iters left: 6 (9 enodes) 19.965 * * [simplify]: iters left: 5 (28 enodes) 19.978 * * [simplify]: iters left: 4 (31 enodes) 19.987 * * [simplify]: Extracting #0: cost 1 inf + 0 19.987 * * [simplify]: Extracting #1: cost 4 inf + 0 19.987 * * [simplify]: Extracting #2: cost 8 inf + 0 19.987 * * [simplify]: Extracting #3: cost 9 inf + 1 19.987 * * [simplify]: Extracting #4: cost 12 inf + 1 19.987 * * [simplify]: Extracting #5: cost 8 inf + 117 19.988 * * [simplify]: Extracting #6: cost 6 inf + 353 19.988 * * [simplify]: Extracting #7: cost 2 inf + 985 19.988 * * [simplify]: Extracting #8: cost 0 inf + 1381 19.989 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 19.989 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 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))))))))) 19.989 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 19.990 * * [simplify]: iters left: 6 (9 enodes) 19.993 * * [simplify]: iters left: 5 (28 enodes) 19.998 * * [simplify]: iters left: 4 (31 enodes) 20.003 * * [simplify]: Extracting #0: cost 1 inf + 0 20.003 * * [simplify]: Extracting #1: cost 4 inf + 0 20.003 * * [simplify]: Extracting #2: cost 8 inf + 0 20.003 * * [simplify]: Extracting #3: cost 9 inf + 1 20.003 * * [simplify]: Extracting #4: cost 12 inf + 1 20.003 * * [simplify]: Extracting #5: cost 8 inf + 117 20.003 * * [simplify]: Extracting #6: cost 6 inf + 353 20.003 * * [simplify]: Extracting #7: cost 2 inf + 985 20.003 * * [simplify]: Extracting #8: cost 0 inf + 1381 20.004 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 20.004 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 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))))))))) 20.004 * * * * [progress]: [ 30 / 233 ] simplifiying candidate # 20.004 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 20.004 * * [simplify]: iters left: 3 (3 enodes) 20.006 * * [simplify]: iters left: 2 (9 enodes) 20.008 * * [simplify]: iters left: 1 (11 enodes) 20.009 * * [simplify]: Extracting #0: cost 1 inf + 0 20.009 * * [simplify]: Extracting #1: cost 0 inf + 1 20.009 * [simplify]: Simplified to 1 20.009 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (* 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 20.010 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 20.010 * * [simplify]: iters left: 6 (8 enodes) 20.012 * * [simplify]: iters left: 5 (25 enodes) 20.016 * * [simplify]: iters left: 4 (28 enodes) 20.020 * * [simplify]: Extracting #0: cost 1 inf + 0 20.020 * * [simplify]: Extracting #1: cost 5 inf + 0 20.020 * * [simplify]: Extracting #2: cost 7 inf + 1 20.020 * * [simplify]: Extracting #3: cost 10 inf + 1 20.020 * * [simplify]: Extracting #4: cost 8 inf + 3 20.021 * * [simplify]: Extracting #5: cost 3 inf + 491 20.021 * * [simplify]: Extracting #6: cost 1 inf + 767 20.021 * * [simplify]: Extracting #7: cost 0 inf + 945 20.021 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 20.021 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (* 1 (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 20.021 * * * * [progress]: [ 31 / 233 ] simplifiying candidate # 20.022 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 20.022 * * [simplify]: iters left: 3 (3 enodes) 20.024 * * [simplify]: iters left: 2 (9 enodes) 20.025 * * [simplify]: iters left: 1 (11 enodes) 20.027 * * [simplify]: Extracting #0: cost 1 inf + 0 20.027 * * [simplify]: Extracting #1: cost 0 inf + 1 20.027 * [simplify]: Simplified to 1 20.027 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (* 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 20.027 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 20.027 * * [simplify]: iters left: 6 (8 enodes) 20.030 * * [simplify]: iters left: 5 (25 enodes) 20.034 * * [simplify]: iters left: 4 (28 enodes) 20.040 * * [simplify]: Extracting #0: cost 1 inf + 0 20.040 * * [simplify]: Extracting #1: cost 5 inf + 0 20.040 * * [simplify]: Extracting #2: cost 7 inf + 1 20.040 * * [simplify]: Extracting #3: cost 10 inf + 1 20.040 * * [simplify]: Extracting #4: cost 8 inf + 3 20.040 * * [simplify]: Extracting #5: cost 3 inf + 491 20.041 * * [simplify]: Extracting #6: cost 1 inf + 767 20.041 * * [simplify]: Extracting #7: cost 0 inf + 945 20.041 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 20.042 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (* 1 (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 20.042 * * * * [progress]: [ 32 / 233 ] simplifiying candidate # 20.042 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 20.042 * * [simplify]: iters left: 3 (3 enodes) 20.046 * * [simplify]: iters left: 2 (9 enodes) 20.049 * * [simplify]: iters left: 1 (11 enodes) 20.052 * * [simplify]: Extracting #0: cost 1 inf + 0 20.052 * * [simplify]: Extracting #1: cost 0 inf + 1 20.052 * [simplify]: Simplified to 1 20.052 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (* 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 20.052 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 20.053 * * [simplify]: iters left: 6 (8 enodes) 20.057 * * [simplify]: iters left: 5 (25 enodes) 20.065 * * [simplify]: iters left: 4 (28 enodes) 20.073 * * [simplify]: Extracting #0: cost 1 inf + 0 20.073 * * [simplify]: Extracting #1: cost 5 inf + 0 20.073 * * [simplify]: Extracting #2: cost 7 inf + 1 20.073 * * [simplify]: Extracting #3: cost 10 inf + 1 20.073 * * [simplify]: Extracting #4: cost 8 inf + 3 20.073 * * [simplify]: Extracting #5: cost 3 inf + 491 20.074 * * [simplify]: Extracting #6: cost 1 inf + 767 20.074 * * [simplify]: Extracting #7: cost 0 inf + 945 20.074 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 20.074 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (* 1 (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 20.075 * * * * [progress]: [ 33 / 233 ] simplifiying candidate # 20.075 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 20.075 * * [simplify]: iters left: 3 (3 enodes) 20.079 * * [simplify]: iters left: 2 (9 enodes) 20.081 * * [simplify]: iters left: 1 (11 enodes) 20.084 * * [simplify]: Extracting #0: cost 1 inf + 0 20.084 * * [simplify]: Extracting #1: cost 0 inf + 1 20.084 * [simplify]: Simplified to 1 20.084 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (* 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 20.084 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 20.084 * * [simplify]: iters left: 6 (8 enodes) 20.089 * * [simplify]: iters left: 5 (25 enodes) 20.101 * * [simplify]: iters left: 4 (28 enodes) 20.109 * * [simplify]: Extracting #0: cost 1 inf + 0 20.109 * * [simplify]: Extracting #1: cost 5 inf + 0 20.109 * * [simplify]: Extracting #2: cost 7 inf + 1 20.109 * * [simplify]: Extracting #3: cost 10 inf + 1 20.109 * * [simplify]: Extracting #4: cost 8 inf + 3 20.109 * * [simplify]: Extracting #5: cost 3 inf + 491 20.109 * * [simplify]: Extracting #6: cost 1 inf + 767 20.110 * * [simplify]: Extracting #7: cost 0 inf + 945 20.110 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 20.110 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (* 1 (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 20.111 * * * * [progress]: [ 34 / 233 ] simplifiying candidate # 20.111 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 20.111 * * [simplify]: iters left: 6 (9 enodes) 20.116 * * [simplify]: iters left: 5 (28 enodes) 20.125 * * [simplify]: iters left: 4 (31 enodes) 20.134 * * [simplify]: Extracting #0: cost 1 inf + 0 20.134 * * [simplify]: Extracting #1: cost 4 inf + 0 20.134 * * [simplify]: Extracting #2: cost 8 inf + 0 20.134 * * [simplify]: Extracting #3: cost 9 inf + 1 20.134 * * [simplify]: Extracting #4: cost 12 inf + 1 20.134 * * [simplify]: Extracting #5: cost 8 inf + 117 20.135 * * [simplify]: Extracting #6: cost 6 inf + 353 20.135 * * [simplify]: Extracting #7: cost 2 inf + 985 20.135 * * [simplify]: Extracting #8: cost 0 inf + 1381 20.136 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 20.136 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 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))))))))) 20.137 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 20.137 * * [simplify]: iters left: 6 (9 enodes) 20.141 * * [simplify]: iters left: 5 (28 enodes) 20.150 * * [simplify]: iters left: 4 (31 enodes) 20.159 * * [simplify]: Extracting #0: cost 1 inf + 0 20.160 * * [simplify]: Extracting #1: cost 4 inf + 0 20.160 * * [simplify]: Extracting #2: cost 8 inf + 0 20.160 * * [simplify]: Extracting #3: cost 9 inf + 1 20.160 * * [simplify]: Extracting #4: cost 12 inf + 1 20.160 * * [simplify]: Extracting #5: cost 8 inf + 117 20.160 * * [simplify]: Extracting #6: cost 6 inf + 353 20.160 * * [simplify]: Extracting #7: cost 2 inf + 985 20.161 * * [simplify]: Extracting #8: cost 0 inf + 1381 20.161 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 20.161 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 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))))))))) 20.162 * * * * [progress]: [ 35 / 233 ] simplifiying candidate # 20.162 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 20.162 * * [simplify]: iters left: 6 (9 enodes) 20.167 * * [simplify]: iters left: 5 (28 enodes) 20.176 * * [simplify]: iters left: 4 (31 enodes) 20.185 * * [simplify]: Extracting #0: cost 1 inf + 0 20.185 * * [simplify]: Extracting #1: cost 4 inf + 0 20.185 * * [simplify]: Extracting #2: cost 8 inf + 0 20.185 * * [simplify]: Extracting #3: cost 9 inf + 1 20.185 * * [simplify]: Extracting #4: cost 12 inf + 1 20.185 * * [simplify]: Extracting #5: cost 8 inf + 117 20.185 * * [simplify]: Extracting #6: cost 6 inf + 353 20.186 * * [simplify]: Extracting #7: cost 2 inf + 985 20.186 * * [simplify]: Extracting #8: cost 0 inf + 1381 20.187 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 20.187 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 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))))))))) 20.187 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 20.187 * * [simplify]: iters left: 6 (9 enodes) 20.192 * * [simplify]: iters left: 5 (28 enodes) 20.200 * * [simplify]: iters left: 4 (31 enodes) 20.209 * * [simplify]: Extracting #0: cost 1 inf + 0 20.209 * * [simplify]: Extracting #1: cost 4 inf + 0 20.209 * * [simplify]: Extracting #2: cost 8 inf + 0 20.209 * * [simplify]: Extracting #3: cost 9 inf + 1 20.209 * * [simplify]: Extracting #4: cost 12 inf + 1 20.209 * * [simplify]: Extracting #5: cost 8 inf + 117 20.209 * * [simplify]: Extracting #6: cost 6 inf + 353 20.210 * * [simplify]: Extracting #7: cost 2 inf + 985 20.210 * * [simplify]: Extracting #8: cost 0 inf + 1381 20.210 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 20.210 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 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))))))))) 20.210 * * * * [progress]: [ 36 / 233 ] simplifiying candidate # 20.211 * [simplify]: Simplifying (* 1 1) 20.211 * * [simplify]: iters left: 2 (2 enodes) 20.212 * * [simplify]: iters left: 1 (6 enodes) 20.213 * * [simplify]: Extracting #0: cost 1 inf + 0 20.213 * * [simplify]: Extracting #1: cost 0 inf + 1 20.213 * [simplify]: Simplified to 1 20.213 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (* 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 20.213 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 20.213 * * [simplify]: iters left: 6 (8 enodes) 20.215 * * [simplify]: iters left: 5 (25 enodes) 20.220 * * [simplify]: iters left: 4 (28 enodes) 20.224 * * [simplify]: Extracting #0: cost 1 inf + 0 20.224 * * [simplify]: Extracting #1: cost 5 inf + 0 20.224 * * [simplify]: Extracting #2: cost 7 inf + 1 20.224 * * [simplify]: Extracting #3: cost 10 inf + 1 20.224 * * [simplify]: Extracting #4: cost 8 inf + 3 20.224 * * [simplify]: Extracting #5: cost 3 inf + 491 20.224 * * [simplify]: Extracting #6: cost 1 inf + 767 20.225 * * [simplify]: Extracting #7: cost 0 inf + 945 20.225 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 20.225 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (* (* 1 1) (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 20.225 * * * * [progress]: [ 37 / 233 ] simplifiying candidate # 20.225 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 20.225 * * [simplify]: iters left: 6 (9 enodes) 20.228 * * [simplify]: iters left: 5 (28 enodes) 20.233 * * [simplify]: iters left: 4 (31 enodes) 20.239 * * [simplify]: Extracting #0: cost 1 inf + 0 20.239 * * [simplify]: Extracting #1: cost 4 inf + 0 20.239 * * [simplify]: Extracting #2: cost 8 inf + 0 20.242 * * [simplify]: Extracting #3: cost 9 inf + 1 20.242 * * [simplify]: Extracting #4: cost 12 inf + 1 20.242 * * [simplify]: Extracting #5: cost 8 inf + 117 20.242 * * [simplify]: Extracting #6: cost 6 inf + 353 20.243 * * [simplify]: Extracting #7: cost 2 inf + 985 20.243 * * [simplify]: Extracting #8: cost 0 inf + 1381 20.244 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 20.244 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 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))))))))) 20.244 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 20.245 * * [simplify]: iters left: 6 (9 enodes) 20.250 * * [simplify]: iters left: 5 (28 enodes) 20.259 * * [simplify]: iters left: 4 (31 enodes) 20.268 * * [simplify]: Extracting #0: cost 1 inf + 0 20.268 * * [simplify]: Extracting #1: cost 4 inf + 0 20.268 * * [simplify]: Extracting #2: cost 8 inf + 0 20.268 * * [simplify]: Extracting #3: cost 9 inf + 1 20.268 * * [simplify]: Extracting #4: cost 12 inf + 1 20.269 * * [simplify]: Extracting #5: cost 8 inf + 117 20.269 * * [simplify]: Extracting #6: cost 6 inf + 353 20.269 * * [simplify]: Extracting #7: cost 2 inf + 985 20.270 * * [simplify]: Extracting #8: cost 0 inf + 1381 20.270 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 20.270 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 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))))))))) 20.270 * * * * [progress]: [ 38 / 233 ] simplifiying candidate # 20.271 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 20.271 * * [simplify]: iters left: 6 (9 enodes) 20.276 * * [simplify]: iters left: 5 (28 enodes) 20.285 * * [simplify]: iters left: 4 (31 enodes) 20.294 * * [simplify]: Extracting #0: cost 1 inf + 0 20.294 * * [simplify]: Extracting #1: cost 4 inf + 0 20.295 * * [simplify]: Extracting #2: cost 8 inf + 0 20.295 * * [simplify]: Extracting #3: cost 9 inf + 1 20.295 * * [simplify]: Extracting #4: cost 12 inf + 1 20.295 * * [simplify]: Extracting #5: cost 8 inf + 117 20.295 * * [simplify]: Extracting #6: cost 6 inf + 353 20.295 * * [simplify]: Extracting #7: cost 2 inf + 985 20.296 * * [simplify]: Extracting #8: cost 0 inf + 1381 20.296 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 20.296 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 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))))))))) 20.297 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 20.297 * * [simplify]: iters left: 6 (9 enodes) 20.302 * * [simplify]: iters left: 5 (28 enodes) 20.310 * * [simplify]: iters left: 4 (31 enodes) 20.316 * * [simplify]: Extracting #0: cost 1 inf + 0 20.316 * * [simplify]: Extracting #1: cost 4 inf + 0 20.316 * * [simplify]: Extracting #2: cost 8 inf + 0 20.316 * * [simplify]: Extracting #3: cost 9 inf + 1 20.316 * * [simplify]: Extracting #4: cost 12 inf + 1 20.316 * * [simplify]: Extracting #5: cost 8 inf + 117 20.316 * * [simplify]: Extracting #6: cost 6 inf + 353 20.316 * * [simplify]: Extracting #7: cost 2 inf + 985 20.316 * * [simplify]: Extracting #8: cost 0 inf + 1381 20.317 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 20.317 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 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))))))))) 20.317 * * * * [progress]: [ 39 / 233 ] simplifiying candidate # 20.317 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 20.317 * * [simplify]: iters left: 6 (9 enodes) 20.320 * * [simplify]: iters left: 5 (28 enodes) 20.324 * * [simplify]: iters left: 4 (31 enodes) 20.329 * * [simplify]: Extracting #0: cost 1 inf + 0 20.329 * * [simplify]: Extracting #1: cost 4 inf + 0 20.329 * * [simplify]: Extracting #2: cost 8 inf + 0 20.329 * * [simplify]: Extracting #3: cost 9 inf + 1 20.329 * * [simplify]: Extracting #4: cost 12 inf + 1 20.329 * * [simplify]: Extracting #5: cost 8 inf + 117 20.329 * * [simplify]: Extracting #6: cost 6 inf + 353 20.330 * * [simplify]: Extracting #7: cost 2 inf + 985 20.330 * * [simplify]: Extracting #8: cost 0 inf + 1381 20.330 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 20.330 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 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))))))))) 20.330 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 20.330 * * [simplify]: iters left: 6 (9 enodes) 20.333 * * [simplify]: iters left: 5 (28 enodes) 20.337 * * [simplify]: iters left: 4 (31 enodes) 20.345 * * [simplify]: Extracting #0: cost 1 inf + 0 20.345 * * [simplify]: Extracting #1: cost 4 inf + 0 20.345 * * [simplify]: Extracting #2: cost 8 inf + 0 20.345 * * [simplify]: Extracting #3: cost 9 inf + 1 20.345 * * [simplify]: Extracting #4: cost 12 inf + 1 20.345 * * [simplify]: Extracting #5: cost 8 inf + 117 20.346 * * [simplify]: Extracting #6: cost 6 inf + 353 20.346 * * [simplify]: Extracting #7: cost 2 inf + 985 20.346 * * [simplify]: Extracting #8: cost 0 inf + 1381 20.347 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 20.347 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 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))))))))) 20.347 * * * * [progress]: [ 40 / 233 ] simplifiying candidate # 20.348 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 20.348 * * [simplify]: iters left: 6 (9 enodes) 20.352 * * [simplify]: iters left: 5 (28 enodes) 20.361 * * [simplify]: iters left: 4 (31 enodes) 20.370 * * [simplify]: Extracting #0: cost 1 inf + 0 20.370 * * [simplify]: Extracting #1: cost 4 inf + 0 20.370 * * [simplify]: Extracting #2: cost 8 inf + 0 20.371 * * [simplify]: Extracting #3: cost 9 inf + 1 20.371 * * [simplify]: Extracting #4: cost 12 inf + 1 20.371 * * [simplify]: Extracting #5: cost 8 inf + 117 20.371 * * [simplify]: Extracting #6: cost 6 inf + 353 20.371 * * [simplify]: Extracting #7: cost 2 inf + 985 20.372 * * [simplify]: Extracting #8: cost 0 inf + 1381 20.372 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 20.372 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 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))))))))) 20.373 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 20.373 * * [simplify]: iters left: 6 (9 enodes) 20.377 * * [simplify]: iters left: 5 (28 enodes) 20.389 * * [simplify]: iters left: 4 (31 enodes) 20.397 * * [simplify]: Extracting #0: cost 1 inf + 0 20.398 * * [simplify]: Extracting #1: cost 4 inf + 0 20.398 * * [simplify]: Extracting #2: cost 8 inf + 0 20.398 * * [simplify]: Extracting #3: cost 9 inf + 1 20.398 * * [simplify]: Extracting #4: cost 12 inf + 1 20.398 * * [simplify]: Extracting #5: cost 8 inf + 117 20.398 * * [simplify]: Extracting #6: cost 6 inf + 353 20.398 * * [simplify]: Extracting #7: cost 2 inf + 985 20.399 * * [simplify]: Extracting #8: cost 0 inf + 1381 20.399 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 20.400 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 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))))))))) 20.400 * * * * [progress]: [ 41 / 233 ] simplifiying candidate # 20.400 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 20.400 * * [simplify]: iters left: 5 (6 enodes) 20.404 * * [simplify]: iters left: 4 (21 enodes) 20.411 * * [simplify]: iters left: 3 (23 enodes) 20.418 * * [simplify]: Extracting #0: cost 1 inf + 0 20.418 * * [simplify]: Extracting #1: cost 4 inf + 0 20.418 * * [simplify]: Extracting #2: cost 5 inf + 1 20.418 * * [simplify]: Extracting #3: cost 8 inf + 1 20.418 * * [simplify]: Extracting #4: cost 6 inf + 3 20.419 * * [simplify]: Extracting #5: cost 0 inf + 589 20.419 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 20.419 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (pow (+ 1/2 (/ 1/2 (hypot 1 x))) (* 2 1/2)))))) 20.419 * [simplify]: Simplifying (* 2 1/2) 20.420 * * [simplify]: iters left: 2 (3 enodes) 20.424 * * [simplify]: iters left: 1 (11 enodes) 20.427 * * [simplify]: Extracting #0: cost 1 inf + 0 20.427 * * [simplify]: Extracting #1: cost 0 inf + 1 20.427 * [simplify]: Simplified to 1 20.427 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 1))))) 20.427 * * * * [progress]: [ 42 / 233 ] simplifiying candidate # 20.428 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 20.428 * * [simplify]: iters left: 6 (7 enodes) 20.432 * * [simplify]: iters left: 5 (24 enodes) 20.439 * * [simplify]: iters left: 4 (26 enodes) 20.447 * * [simplify]: Extracting #0: cost 1 inf + 0 20.447 * * [simplify]: Extracting #1: cost 3 inf + 0 20.448 * * [simplify]: Extracting #2: cost 6 inf + 0 20.448 * * [simplify]: Extracting #3: cost 7 inf + 1 20.448 * * [simplify]: Extracting #4: cost 10 inf + 1 20.448 * * [simplify]: Extracting #5: cost 6 inf + 117 20.448 * * [simplify]: Extracting #6: cost 2 inf + 629 20.448 * * [simplify]: Extracting #7: cost 0 inf + 945 20.449 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 20.449 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (pow (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* 2 1)))))) 20.449 * [simplify]: Simplifying (* 2 1) 20.449 * * [simplify]: iters left: 2 (3 enodes) 20.452 * * [simplify]: iters left: 1 (9 enodes) 20.455 * * [simplify]: Extracting #0: cost 1 inf + 0 20.456 * * [simplify]: Extracting #1: cost 0 inf + 1 20.456 * [simplify]: Simplified to 2 20.456 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 2))))) 20.456 * * * * [progress]: [ 43 / 233 ] simplifiying candidate # 20.456 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 20.456 * * [simplify]: iters left: 5 (6 enodes) 20.460 * * [simplify]: iters left: 4 (21 enodes) 20.467 * * [simplify]: iters left: 3 (23 enodes) 20.474 * * [simplify]: Extracting #0: cost 1 inf + 0 20.474 * * [simplify]: Extracting #1: cost 4 inf + 0 20.474 * * [simplify]: Extracting #2: cost 5 inf + 1 20.474 * * [simplify]: Extracting #3: cost 8 inf + 1 20.474 * * [simplify]: Extracting #4: cost 6 inf + 3 20.475 * * [simplify]: Extracting #5: cost 0 inf + 589 20.475 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 20.475 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (pow (+ 1/2 (/ 1/2 (hypot 1 x))) (* 2 (/ 1 2))))))) 20.475 * [simplify]: Simplifying (* 2 (/ 1 2)) 20.475 * * [simplify]: iters left: 4 (4 enodes) 20.479 * * [simplify]: iters left: 3 (13 enodes) 20.484 * * [simplify]: iters left: 2 (15 enodes) 20.488 * * [simplify]: Extracting #0: cost 1 inf + 0 20.489 * * [simplify]: Extracting #1: cost 0 inf + 1 20.489 * [simplify]: Simplified to 1 20.489 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 1))))) 20.489 * * * * [progress]: [ 44 / 233 ] simplifiying candidate # 20.489 * [simplify]: Simplifying (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 20.489 * * [simplify]: iters left: 6 (8 enodes) 20.494 * * [simplify]: iters left: 5 (27 enodes) 20.502 * * [simplify]: iters left: 4 (29 enodes) 20.511 * * [simplify]: Extracting #0: cost 1 inf + 0 20.511 * * [simplify]: Extracting #1: cost 3 inf + 0 20.511 * * [simplify]: Extracting #2: cost 5 inf + 0 20.511 * * [simplify]: Extracting #3: cost 8 inf + 0 20.511 * * [simplify]: Extracting #4: cost 9 inf + 1 20.511 * * [simplify]: Extracting #5: cost 12 inf + 1 20.511 * * [simplify]: Extracting #6: cost 9 inf + 60 20.512 * * [simplify]: Extracting #7: cost 5 inf + 451 20.512 * * [simplify]: Extracting #8: cost 1 inf + 1203 20.513 * * [simplify]: Extracting #9: cost 0 inf + 1461 20.513 * [simplify]: Simplified to (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 20.513 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 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)))))))))) 20.514 * * * * [progress]: [ 45 / 233 ] simplifiying candidate # 20.514 * [simplify]: Simplifying (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 20.514 * * [simplify]: iters left: 6 (8 enodes) 20.517 * * [simplify]: iters left: 5 (27 enodes) 20.521 * * [simplify]: iters left: 4 (29 enodes) 20.526 * * [simplify]: Extracting #0: cost 1 inf + 0 20.526 * * [simplify]: Extracting #1: cost 3 inf + 0 20.526 * * [simplify]: Extracting #2: cost 5 inf + 0 20.526 * * [simplify]: Extracting #3: cost 8 inf + 0 20.526 * * [simplify]: Extracting #4: cost 9 inf + 1 20.526 * * [simplify]: Extracting #5: cost 12 inf + 1 20.526 * * [simplify]: Extracting #6: cost 9 inf + 60 20.526 * * [simplify]: Extracting #7: cost 5 inf + 451 20.526 * * [simplify]: Extracting #8: cost 1 inf + 1283 20.526 * * [simplify]: Extracting #9: cost 0 inf + 1541 20.527 * [simplify]: Simplified to (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 20.527 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 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)))))))))) 20.527 * * * * [progress]: [ 46 / 233 ] simplifiying candidate # 20.527 * [simplify]: Simplifying (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 20.527 * * [simplify]: iters left: 6 (8 enodes) 20.530 * * [simplify]: iters left: 5 (27 enodes) 20.536 * * [simplify]: iters left: 4 (29 enodes) 20.540 * * [simplify]: Extracting #0: cost 1 inf + 0 20.540 * * [simplify]: Extracting #1: cost 3 inf + 0 20.540 * * [simplify]: Extracting #2: cost 5 inf + 0 20.540 * * [simplify]: Extracting #3: cost 8 inf + 0 20.540 * * [simplify]: Extracting #4: cost 9 inf + 1 20.541 * * [simplify]: Extracting #5: cost 12 inf + 1 20.541 * * [simplify]: Extracting #6: cost 9 inf + 60 20.541 * * [simplify]: Extracting #7: cost 5 inf + 451 20.541 * * [simplify]: Extracting #8: cost 1 inf + 1163 20.541 * * [simplify]: Extracting #9: cost 0 inf + 1381 20.541 * [simplify]: Simplified to (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 20.541 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 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)))))))))) 20.542 * * * * [progress]: [ 47 / 233 ] simplifiying candidate # 20.542 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 20.542 * * [simplify]: iters left: 6 (7 enodes) 20.544 * * [simplify]: iters left: 5 (24 enodes) 20.548 * * [simplify]: iters left: 4 (26 enodes) 20.552 * * [simplify]: Extracting #0: cost 1 inf + 0 20.552 * * [simplify]: Extracting #1: cost 3 inf + 0 20.552 * * [simplify]: Extracting #2: cost 6 inf + 0 20.552 * * [simplify]: Extracting #3: cost 7 inf + 1 20.552 * * [simplify]: Extracting #4: cost 10 inf + 1 20.552 * * [simplify]: Extracting #5: cost 6 inf + 117 20.552 * * [simplify]: Extracting #6: cost 2 inf + 629 20.552 * * [simplify]: Extracting #7: cost 0 inf + 945 20.553 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 20.553 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 20.553 * * * * [progress]: [ 48 / 233 ] simplifiying candidate # 20.553 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 20.553 * * [simplify]: iters left: 6 (7 enodes) 20.555 * * [simplify]: iters left: 5 (24 enodes) 20.559 * * [simplify]: iters left: 4 (26 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 6 inf + 117 20.564 * * [simplify]: Extracting #6: cost 2 inf + 629 20.564 * * [simplify]: Extracting #7: cost 0 inf + 945 20.564 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 20.564 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 20.564 * * * * [progress]: [ 49 / 233 ] simplifiying candidate # 20.564 * [simplify]: Simplifying (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 20.564 * * [simplify]: iters left: 6 (8 enodes) 20.567 * * [simplify]: iters left: 5 (27 enodes) 20.571 * * [simplify]: iters left: 4 (29 enodes) 20.576 * * [simplify]: Extracting #0: cost 1 inf + 0 20.576 * * [simplify]: Extracting #1: cost 3 inf + 0 20.576 * * [simplify]: Extracting #2: cost 5 inf + 0 20.576 * * [simplify]: Extracting #3: cost 8 inf + 0 20.576 * * [simplify]: Extracting #4: cost 9 inf + 1 20.576 * * [simplify]: Extracting #5: cost 12 inf + 1 20.576 * * [simplify]: Extracting #6: cost 9 inf + 60 20.576 * * [simplify]: Extracting #7: cost 5 inf + 451 20.577 * * [simplify]: Extracting #8: cost 1 inf + 1163 20.577 * * [simplify]: Extracting #9: cost 0 inf + 1381 20.577 * [simplify]: Simplified to (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 20.577 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 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)))))))))) 20.577 * * * * [progress]: [ 50 / 233 ] simplifiying candidate # 20.577 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 20.577 * * [simplify]: iters left: 6 (7 enodes) 20.579 * * [simplify]: iters left: 5 (24 enodes) 20.583 * * [simplify]: iters left: 4 (26 enodes) 20.587 * * [simplify]: Extracting #0: cost 1 inf + 0 20.588 * * [simplify]: Extracting #1: cost 3 inf + 0 20.588 * * [simplify]: Extracting #2: cost 6 inf + 0 20.588 * * [simplify]: Extracting #3: cost 7 inf + 1 20.588 * * [simplify]: Extracting #4: cost 10 inf + 1 20.588 * * [simplify]: Extracting #5: cost 6 inf + 117 20.588 * * [simplify]: Extracting #6: cost 2 inf + 629 20.588 * * [simplify]: Extracting #7: cost 0 inf + 945 20.588 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 20.588 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 20.588 * * * * [progress]: [ 51 / 233 ] simplifiying candidate # 20.589 * [simplify]: Simplifying (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 20.589 * * [simplify]: iters left: 6 (9 enodes) 20.591 * * [simplify]: iters left: 5 (30 enodes) 20.596 * * [simplify]: iters left: 4 (32 enodes) 20.601 * * [simplify]: Extracting #0: cost 1 inf + 0 20.601 * * [simplify]: Extracting #1: cost 3 inf + 0 20.601 * * [simplify]: Extracting #2: cost 5 inf + 0 20.601 * * [simplify]: Extracting #3: cost 7 inf + 0 20.601 * * [simplify]: Extracting #4: cost 10 inf + 0 20.601 * * [simplify]: Extracting #5: cost 11 inf + 1 20.601 * * [simplify]: Extracting #6: cost 14 inf + 1 20.601 * * [simplify]: Extracting #7: cost 10 inf + 117 20.601 * * [simplify]: Extracting #8: cost 8 inf + 353 20.601 * * [simplify]: Extracting #9: cost 4 inf + 1025 20.602 * * [simplify]: Extracting #10: cost 0 inf + 2057 20.602 * [simplify]: Simplified to (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 20.602 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 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)))))))) 20.602 * * * * [progress]: [ 52 / 233 ] simplifiying candidate # 20.602 * [simplify]: Simplifying (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 20.602 * * [simplify]: iters left: 6 (9 enodes) 20.605 * * [simplify]: iters left: 5 (31 enodes) 20.610 * * [simplify]: iters left: 4 (33 enodes) 20.615 * * [simplify]: Extracting #0: cost 1 inf + 0 20.615 * * [simplify]: Extracting #1: cost 4 inf + 0 20.615 * * [simplify]: Extracting #2: cost 7 inf + 0 20.615 * * [simplify]: Extracting #3: cost 10 inf + 0 20.615 * * [simplify]: Extracting #4: cost 11 inf + 1 20.615 * * [simplify]: Extracting #5: cost 14 inf + 1 20.616 * * [simplify]: Extracting #6: cost 11 inf + 60 20.616 * * [simplify]: Extracting #7: cost 7 inf + 451 20.616 * * [simplify]: Extracting #8: cost 0 inf + 2057 20.616 * [simplify]: Simplified to (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 20.616 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 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)))))))) 20.616 * * * * [progress]: [ 53 / 233 ] simplifiying candidate # 20.617 * [simplify]: Simplifying (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 20.617 * * [simplify]: iters left: 6 (8 enodes) 20.619 * * [simplify]: iters left: 5 (27 enodes) 20.626 * * [simplify]: iters left: 4 (29 enodes) 20.630 * * [simplify]: Extracting #0: cost 1 inf + 0 20.630 * * [simplify]: Extracting #1: cost 3 inf + 0 20.630 * * [simplify]: Extracting #2: cost 5 inf + 0 20.630 * * [simplify]: Extracting #3: cost 8 inf + 0 20.630 * * [simplify]: Extracting #4: cost 9 inf + 1 20.630 * * [simplify]: Extracting #5: cost 12 inf + 1 20.630 * * [simplify]: Extracting #6: cost 9 inf + 60 20.631 * * [simplify]: Extracting #7: cost 5 inf + 451 20.631 * * [simplify]: Extracting #8: cost 1 inf + 1163 20.631 * * [simplify]: Extracting #9: cost 0 inf + 1381 20.631 * [simplify]: Simplified to (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 20.631 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 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)))))))) 20.632 * * * * [progress]: [ 54 / 233 ] simplifiying candidate # 20.632 * [simplify]: Simplifying (sqrt 1) 20.632 * * [simplify]: iters left: 1 (2 enodes) 20.634 * * [simplify]: Extracting #0: cost 1 inf + 0 20.634 * * [simplify]: Extracting #1: cost 0 inf + 1 20.634 * [simplify]: Simplified to 1 20.634 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (* 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 20.634 * * * * [progress]: [ 55 / 233 ] simplifiying candidate # 20.634 * [simplify]: Simplifying (sqrt 1) 20.634 * * [simplify]: iters left: 1 (2 enodes) 20.636 * * [simplify]: Extracting #0: cost 1 inf + 0 20.636 * * [simplify]: Extracting #1: cost 0 inf + 1 20.636 * [simplify]: Simplified to 1 20.636 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (* 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 20.636 * * * * [progress]: [ 56 / 233 ] simplifiying candidate # 20.637 * [simplify]: Simplifying (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 20.637 * * [simplify]: iters left: 6 (8 enodes) 20.639 * * [simplify]: iters left: 5 (27 enodes) 20.644 * * [simplify]: iters left: 4 (29 enodes) 20.649 * * [simplify]: Extracting #0: cost 1 inf + 0 20.649 * * [simplify]: Extracting #1: cost 3 inf + 0 20.649 * * [simplify]: Extracting #2: cost 5 inf + 0 20.649 * * [simplify]: Extracting #3: cost 8 inf + 0 20.649 * * [simplify]: Extracting #4: cost 9 inf + 1 20.649 * * [simplify]: Extracting #5: cost 12 inf + 1 20.649 * * [simplify]: Extracting #6: cost 9 inf + 60 20.649 * * [simplify]: Extracting #7: cost 5 inf + 451 20.650 * * [simplify]: Extracting #8: cost 1 inf + 1163 20.650 * * [simplify]: Extracting #9: cost 0 inf + 1381 20.650 * [simplify]: Simplified to (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 20.650 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 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)))))))) 20.650 * * * * [progress]: [ 57 / 233 ] simplifiying candidate # 20.650 * * * * [progress]: [ 58 / 233 ] simplifiying candidate # 20.651 * [simplify]: Simplifying (sqrt (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) 1/2)))) 20.651 * * [simplify]: iters left: 6 (11 enodes) 20.655 * * [simplify]: iters left: 5 (47 enodes) 20.663 * * [simplify]: iters left: 4 (85 enodes) 20.678 * * [simplify]: iters left: 3 (124 enodes) 20.696 * * [simplify]: iters left: 2 (167 enodes) 20.745 * * [simplify]: iters left: 1 (254 enodes) 20.836 * * [simplify]: Extracting #0: cost 1 inf + 0 20.836 * * [simplify]: Extracting #1: cost 3 inf + 0 20.836 * * [simplify]: Extracting #2: cost 18 inf + 0 20.840 * * [simplify]: Extracting #3: cost 57 inf + 2 20.840 * * [simplify]: Extracting #4: cost 76 inf + 4 20.841 * * [simplify]: Extracting #5: cost 74 inf + 6 20.843 * * [simplify]: Extracting #6: cost 44 inf + 4147 20.846 * * [simplify]: Extracting #7: cost 2 inf + 10984 20.850 * * [simplify]: Extracting #8: cost 0 inf + 11381 20.853 * [simplify]: Simplified to (sqrt (+ (- (/ -1/4 (hypot 1 x)) (/ (/ -1/4 (hypot 1 x)) (hypot 1 x))) 1/4)) 20.853 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (/ (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3)))) (sqrt (+ (- (/ -1/4 (hypot 1 x)) (/ (/ -1/4 (hypot 1 x)) (hypot 1 x))) 1/4))))))) 20.854 * * * * [progress]: [ 59 / 233 ] simplifiying candidate # 20.854 * [simplify]: Simplifying (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) 20.854 * * [simplify]: iters left: 6 (7 enodes) 20.857 * * [simplify]: iters left: 5 (26 enodes) 20.862 * * [simplify]: iters left: 4 (30 enodes) 20.867 * * [simplify]: Extracting #0: cost 1 inf + 0 20.867 * * [simplify]: Extracting #1: cost 3 inf + 0 20.867 * * [simplify]: Extracting #2: cost 7 inf + 0 20.867 * * [simplify]: Extracting #3: cost 7 inf + 2 20.867 * * [simplify]: Extracting #4: cost 10 inf + 2 20.867 * * [simplify]: Extracting #5: cost 6 inf + 118 20.867 * * [simplify]: Extracting #6: cost 4 inf + 354 20.867 * * [simplify]: Extracting #7: cost 1 inf + 768 20.867 * * [simplify]: Extracting #8: cost 0 inf + 946 20.868 * [simplify]: Simplified to (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) 20.868 * [simplify]: Simplified (2 2 2 2 2) to (λ (x) (/ (- (* (* 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 (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 (hypot 1 x))) (* 1/2 1/2)))) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2))))))) 20.868 * * * * [progress]: [ 60 / 233 ] simplifiying candidate # 20.868 * [simplify]: Simplifying (* (sqrt (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3))) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 20.868 * * [simplify]: iters left: 6 (13 enodes) 20.873 * * [simplify]: iters left: 5 (61 enodes) 20.886 * * [simplify]: iters left: 4 (103 enodes) 20.917 * * [simplify]: iters left: 3 (192 enodes) 20.989 * * [simplify]: iters left: 2 (318 enodes) 21.124 * * [simplify]: Extracting #0: cost 1 inf + 0 21.124 * * [simplify]: Extracting #1: cost 4 inf + 0 21.124 * * [simplify]: Extracting #2: cost 8 inf + 0 21.124 * * [simplify]: Extracting #3: cost 14 inf + 0 21.124 * * [simplify]: Extracting #4: cost 50 inf + 2 21.125 * * [simplify]: Extracting #5: cost 109 inf + 5 21.126 * * [simplify]: Extracting #6: cost 93 inf + 2679 21.131 * * [simplify]: Extracting #7: cost 27 inf + 21269 21.139 * * [simplify]: Extracting #8: cost 4 inf + 31835 21.147 * * [simplify]: Extracting #9: cost 0 inf + 34257 21.156 * [simplify]: Simplified to (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/8 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))))) 21.156 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (/ (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/8 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (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))))))))) 21.156 * * * * [progress]: [ 61 / 233 ] simplifiying candidate # 21.157 * [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))) 21.157 * * [simplify]: iters left: 6 (12 enodes) 21.169 * * [simplify]: iters left: 5 (50 enodes) 21.186 * * [simplify]: iters left: 4 (69 enodes) 21.205 * * [simplify]: iters left: 3 (95 enodes) 21.231 * * [simplify]: iters left: 2 (140 enodes) 21.250 * * [simplify]: iters left: 1 (177 enodes) 21.278 * * [simplify]: Extracting #0: cost 1 inf + 0 21.278 * * [simplify]: Extracting #1: cost 4 inf + 0 21.278 * * [simplify]: Extracting #2: cost 8 inf + 0 21.278 * * [simplify]: Extracting #3: cost 29 inf + 0 21.278 * * [simplify]: Extracting #4: cost 58 inf + 3 21.279 * * [simplify]: Extracting #5: cost 68 inf + 4 21.279 * * [simplify]: Extracting #6: cost 66 inf + 6 21.280 * * [simplify]: Extracting #7: cost 42 inf + 3515 21.282 * * [simplify]: Extracting #8: cost 3 inf + 10790 21.286 * * [simplify]: Extracting #9: cost 0 inf + 11166 21.292 * * [simplify]: Extracting #10: cost 0 inf + 11127 21.297 * [simplify]: Simplified to (* (sqrt (- (/ 1/4 (* (hypot 1 x) (hypot 1 x))) 1/4)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 21.297 * [simplify]: Simplified (2 2 2 2 1) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (/ (* (sqrt (- (/ 1/4 (* (hypot 1 x) (hypot 1 x))) 1/4)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2))))))) 21.297 * * * * [progress]: [ 62 / 233 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))> 21.298 * * * * [progress]: [ 63 / 233 ] simplifiying candidate # 21.298 * * * * [progress]: [ 64 / 233 ] simplifiying candidate # 21.298 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 21.298 * * [simplify]: iters left: 5 (6 enodes) 21.302 * * [simplify]: iters left: 4 (21 enodes) 21.308 * * [simplify]: iters left: 3 (23 enodes) 21.314 * * [simplify]: Extracting #0: cost 1 inf + 0 21.314 * * [simplify]: Extracting #1: cost 4 inf + 0 21.314 * * [simplify]: Extracting #2: cost 5 inf + 1 21.314 * * [simplify]: Extracting #3: cost 8 inf + 1 21.314 * * [simplify]: Extracting #4: cost 6 inf + 3 21.314 * * [simplify]: Extracting #5: cost 0 inf + 589 21.314 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 21.314 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (pow (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 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))))))) 21.314 * [simplify]: Simplifying (+ 1/2 1/2) 21.314 * * [simplify]: iters left: 2 (2 enodes) 21.316 * * [simplify]: iters left: 1 (7 enodes) 21.317 * * [simplify]: Extracting #0: cost 1 inf + 0 21.317 * * [simplify]: Extracting #1: cost 0 inf + 1 21.317 * [simplify]: Simplified to 1 21.317 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 1))) (* (+ 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))))))) 21.317 * * * * [progress]: [ 65 / 233 ] simplifiying candidate # 21.317 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 21.317 * * [simplify]: iters left: 5 (6 enodes) 21.319 * * [simplify]: iters left: 4 (21 enodes) 21.323 * * [simplify]: iters left: 3 (23 enodes) 21.326 * * [simplify]: Extracting #0: cost 1 inf + 0 21.326 * * [simplify]: Extracting #1: cost 4 inf + 0 21.326 * * [simplify]: Extracting #2: cost 5 inf + 1 21.326 * * [simplify]: Extracting #3: cost 8 inf + 1 21.326 * * [simplify]: Extracting #4: cost 6 inf + 3 21.327 * * [simplify]: Extracting #5: cost 0 inf + 589 21.327 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 21.327 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (pow (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 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))))))) 21.327 * [simplify]: Simplifying (+ 1/2 (/ 1 2)) 21.327 * * [simplify]: iters left: 4 (5 enodes) 21.330 * * [simplify]: iters left: 3 (18 enodes) 21.334 * * [simplify]: iters left: 2 (20 enodes) 21.337 * * [simplify]: Extracting #0: cost 1 inf + 0 21.337 * * [simplify]: Extracting #1: cost 0 inf + 1 21.337 * [simplify]: Simplified to 1 21.337 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 1))) (* (+ 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))))))) 21.337 * * * * [progress]: [ 66 / 233 ] simplifiying candidate # 21.337 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 21.337 * * [simplify]: iters left: 6 (7 enodes) 21.339 * * [simplify]: iters left: 5 (24 enodes) 21.343 * * [simplify]: iters left: 4 (26 enodes) 21.348 * * [simplify]: Extracting #0: cost 1 inf + 0 21.348 * * [simplify]: Extracting #1: cost 3 inf + 0 21.348 * * [simplify]: Extracting #2: cost 6 inf + 0 21.348 * * [simplify]: Extracting #3: cost 7 inf + 1 21.348 * * [simplify]: Extracting #4: cost 10 inf + 1 21.348 * * [simplify]: Extracting #5: cost 6 inf + 117 21.348 * * [simplify]: Extracting #6: cost 2 inf + 629 21.348 * * [simplify]: Extracting #7: cost 0 inf + 945 21.348 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 21.348 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (pow (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 1)))) (* (+ 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))))))) 21.349 * [simplify]: Simplifying (+ 1 1) 21.349 * * [simplify]: iters left: 2 (2 enodes) 21.350 * * [simplify]: iters left: 1 (9 enodes) 21.352 * * [simplify]: Extracting #0: cost 1 inf + 0 21.352 * * [simplify]: Extracting #1: cost 0 inf + 1 21.352 * [simplify]: Simplified to 2 21.352 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 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))))))) 21.352 * * * * [progress]: [ 67 / 233 ] simplifiying candidate # 21.352 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 21.352 * * [simplify]: iters left: 5 (6 enodes) 21.354 * * [simplify]: iters left: 4 (21 enodes) 21.357 * * [simplify]: iters left: 3 (23 enodes) 21.361 * * [simplify]: Extracting #0: cost 1 inf + 0 21.361 * * [simplify]: Extracting #1: cost 4 inf + 0 21.361 * * [simplify]: Extracting #2: cost 5 inf + 1 21.361 * * [simplify]: Extracting #3: cost 8 inf + 1 21.361 * * [simplify]: Extracting #4: cost 6 inf + 3 21.361 * * [simplify]: Extracting #5: cost 0 inf + 589 21.361 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 21.361 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (pow (+ 1/2 (/ 1/2 (hypot 1 x))) (+ (/ 1 2) 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))))))) 21.362 * [simplify]: Simplifying (+ (/ 1 2) 1/2) 21.362 * * [simplify]: iters left: 4 (5 enodes) 21.366 * * [simplify]: iters left: 3 (18 enodes) 21.369 * * [simplify]: iters left: 2 (20 enodes) 21.375 * * [simplify]: Extracting #0: cost 1 inf + 0 21.376 * * [simplify]: Extracting #1: cost 0 inf + 1 21.376 * [simplify]: Simplified to 1 21.376 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 1))) (* (+ 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))))))) 21.376 * * * * [progress]: [ 68 / 233 ] simplifiying candidate # 21.376 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 21.376 * * [simplify]: iters left: 5 (6 enodes) 21.380 * * [simplify]: iters left: 4 (21 enodes) 21.387 * * [simplify]: iters left: 3 (23 enodes) 21.395 * * [simplify]: Extracting #0: cost 1 inf + 0 21.395 * * [simplify]: Extracting #1: cost 4 inf + 0 21.395 * * [simplify]: Extracting #2: cost 5 inf + 1 21.395 * * [simplify]: Extracting #3: cost 8 inf + 1 21.395 * * [simplify]: Extracting #4: cost 6 inf + 3 21.395 * * [simplify]: Extracting #5: cost 0 inf + 589 21.396 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 21.396 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (pow (+ 1/2 (/ 1/2 (hypot 1 x))) (+ (/ 1 2) (/ 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))))))) 21.396 * [simplify]: Simplifying (+ (/ 1 2) (/ 1 2)) 21.397 * * [simplify]: iters left: 4 (4 enodes) 21.401 * * [simplify]: iters left: 3 (15 enodes) 21.406 * * [simplify]: iters left: 2 (17 enodes) 21.411 * * [simplify]: Extracting #0: cost 1 inf + 0 21.411 * * [simplify]: Extracting #1: cost 0 inf + 1 21.411 * [simplify]: Simplified to 1 21.411 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 1))) (* (+ 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))))))) 21.411 * * * * [progress]: [ 69 / 233 ] simplifiying candidate # 21.412 * [simplify]: Simplifying (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) 21.412 * * [simplify]: iters left: 6 (7 enodes) 21.416 * * [simplify]: iters left: 5 (30 enodes) 21.428 * * [simplify]: iters left: 4 (57 enodes) 21.436 * * [simplify]: iters left: 3 (84 enodes) 21.448 * * [simplify]: iters left: 2 (117 enodes) 21.466 * * [simplify]: iters left: 1 (161 enodes) 21.494 * * [simplify]: Extracting #0: cost 1 inf + 0 21.494 * * [simplify]: Extracting #1: cost 26 inf + 0 21.494 * * [simplify]: Extracting #2: cost 81 inf + 2 21.494 * * [simplify]: Extracting #3: cost 99 inf + 3 21.495 * * [simplify]: Extracting #4: cost 97 inf + 61 21.497 * * [simplify]: Extracting #5: cost 42 inf + 7889 21.502 * * [simplify]: Extracting #6: cost 6 inf + 14381 21.509 * * [simplify]: Extracting #7: cost 0 inf + 15650 21.515 * [simplify]: Simplified to (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 21.516 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 21.516 * * * * [progress]: [ 70 / 233 ] simplifiying candidate # 21.516 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 21.516 * * [simplify]: iters left: 6 (8 enodes) 21.521 * * [simplify]: iters left: 5 (25 enodes) 21.528 * * [simplify]: iters left: 4 (28 enodes) 21.536 * * [simplify]: Extracting #0: cost 1 inf + 0 21.536 * * [simplify]: Extracting #1: cost 5 inf + 0 21.536 * * [simplify]: Extracting #2: cost 7 inf + 1 21.536 * * [simplify]: Extracting #3: cost 10 inf + 1 21.536 * * [simplify]: Extracting #4: cost 8 inf + 3 21.537 * * [simplify]: Extracting #5: cost 3 inf + 491 21.537 * * [simplify]: Extracting #6: cost 1 inf + 767 21.537 * * [simplify]: Extracting #7: cost 0 inf + 945 21.538 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 21.538 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (pow (+ 1/2 (/ 1/2 (hypot 1 x))) 1))) (* (+ 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))))))) 21.538 * * * * [progress]: [ 71 / 233 ] simplifiying candidate # 21.538 * [simplify]: Simplifying (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) 21.538 * * [simplify]: iters left: 6 (7 enodes) 21.543 * * [simplify]: iters left: 5 (30 enodes) 21.554 * * [simplify]: iters left: 4 (57 enodes) 21.572 * * [simplify]: iters left: 3 (84 enodes) 21.586 * * [simplify]: iters left: 2 (117 enodes) 21.605 * * [simplify]: iters left: 1 (161 enodes) 21.654 * * [simplify]: Extracting #0: cost 1 inf + 0 21.654 * * [simplify]: Extracting #1: cost 26 inf + 0 21.654 * * [simplify]: Extracting #2: cost 81 inf + 2 21.655 * * [simplify]: Extracting #3: cost 99 inf + 3 21.655 * * [simplify]: Extracting #4: cost 97 inf + 61 21.658 * * [simplify]: Extracting #5: cost 42 inf + 7889 21.664 * * [simplify]: Extracting #6: cost 6 inf + 14381 21.670 * * [simplify]: Extracting #7: cost 0 inf + 15650 21.677 * [simplify]: Simplified to (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 21.677 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 21.677 * [simplify]: Simplifying (/ 1 2) 21.677 * * [simplify]: iters left: 2 (3 enodes) 21.681 * * [simplify]: iters left: 1 (12 enodes) 21.685 * * [simplify]: Extracting #0: cost 1 inf + 0 21.685 * * [simplify]: Extracting #1: cost 0 inf + 1 21.685 * [simplify]: Simplified to 1/2 21.685 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 21.685 * * * * [progress]: [ 72 / 233 ] simplifiying candidate # 21.685 * * * * [progress]: [ 73 / 233 ] simplifiying candidate # 21.686 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 21.686 * * [simplify]: iters left: 6 (7 enodes) 21.689 * * [simplify]: iters left: 5 (24 enodes) 21.697 * * [simplify]: iters left: 4 (26 enodes) 21.705 * * [simplify]: Extracting #0: cost 1 inf + 0 21.705 * * [simplify]: Extracting #1: cost 3 inf + 0 21.705 * * [simplify]: Extracting #2: cost 6 inf + 0 21.705 * * [simplify]: Extracting #3: cost 7 inf + 1 21.705 * * [simplify]: Extracting #4: cost 10 inf + 1 21.705 * * [simplify]: Extracting #5: cost 6 inf + 117 21.705 * * [simplify]: Extracting #6: cost 2 inf + 629 21.706 * * [simplify]: Extracting #7: cost 0 inf + 945 21.706 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 21.706 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (pow (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 1)))) (* (+ 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))))))) 21.706 * * * * [progress]: [ 74 / 233 ] simplifiying candidate # 21.706 * * * * [progress]: [ 75 / 233 ] simplifiying candidate # 21.707 * [simplify]: Simplifying (+ (log (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (log (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 21.707 * * [simplify]: iters left: 6 (9 enodes) 21.712 * * [simplify]: iters left: 5 (30 enodes) 21.721 * * [simplify]: iters left: 4 (32 enodes) 21.733 * * [simplify]: Extracting #0: cost 1 inf + 0 21.733 * * [simplify]: Extracting #1: cost 3 inf + 0 21.734 * * [simplify]: Extracting #2: cost 5 inf + 0 21.734 * * [simplify]: Extracting #3: cost 7 inf + 0 21.734 * * [simplify]: Extracting #4: cost 10 inf + 0 21.734 * * [simplify]: Extracting #5: cost 11 inf + 1 21.734 * * [simplify]: Extracting #6: cost 14 inf + 1 21.734 * * [simplify]: Extracting #7: cost 10 inf + 117 21.734 * * [simplify]: Extracting #8: cost 8 inf + 353 21.734 * * [simplify]: Extracting #9: cost 4 inf + 1015 21.735 * * [simplify]: Extracting #10: cost 0 inf + 2017 21.736 * [simplify]: Simplified to (+ (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 21.736 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 21.736 * * * * [progress]: [ 76 / 233 ] simplifiying candidate # 21.736 * * * * [progress]: [ 77 / 233 ] simplifiying candidate # 21.736 * * * * [progress]: [ 78 / 233 ] simplifiying candidate # 21.736 * [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)))) 21.737 * * [simplify]: iters left: 6 (10 enodes) 21.742 * * [simplify]: iters left: 5 (38 enodes) 21.757 * * [simplify]: iters left: 4 (85 enodes) 21.816 * * [simplify]: iters left: 3 (312 enodes) 21.975 * * [simplify]: Extracting #0: cost 1 inf + 0 21.975 * * [simplify]: Extracting #1: cost 25 inf + 0 21.975 * * [simplify]: Extracting #2: cost 117 inf + 2 21.976 * * [simplify]: Extracting #3: cost 157 inf + 6 21.977 * * [simplify]: Extracting #4: cost 144 inf + 1480 21.979 * * [simplify]: Extracting #5: cost 92 inf + 12691 21.987 * * [simplify]: Extracting #6: cost 23 inf + 32693 21.995 * * [simplify]: Extracting #7: cost 0 inf + 39973 22.009 * [simplify]: Simplified to (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 22.009 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (+ 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))))))) 22.009 * * * * [progress]: [ 79 / 233 ] simplifiying candidate # 22.009 * * * * [progress]: [ 80 / 233 ] simplifiying candidate # 22.009 * * * * [progress]: [ 81 / 233 ] simplifiying candidate # 22.010 * [simplify]: Simplifying (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) 22.010 * * [simplify]: iters left: 6 (7 enodes) 22.014 * * [simplify]: iters left: 5 (30 enodes) 22.021 * * [simplify]: iters left: 4 (57 enodes) 22.031 * * [simplify]: iters left: 3 (84 enodes) 22.043 * * [simplify]: iters left: 2 (117 enodes) 22.065 * * [simplify]: iters left: 1 (161 enodes) 22.107 * * [simplify]: Extracting #0: cost 1 inf + 0 22.107 * * [simplify]: Extracting #1: cost 26 inf + 0 22.107 * * [simplify]: Extracting #2: cost 81 inf + 2 22.107 * * [simplify]: Extracting #3: cost 99 inf + 3 22.108 * * [simplify]: Extracting #4: cost 97 inf + 61 22.109 * * [simplify]: Extracting #5: cost 42 inf + 7889 22.111 * * [simplify]: Extracting #6: cost 6 inf + 14381 22.115 * * [simplify]: Extracting #7: cost 0 inf + 15650 22.118 * [simplify]: Simplified to (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 22.118 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (+ 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))))))) 22.118 * * * * [progress]: [ 82 / 233 ] simplifiying candidate # 22.118 * * * * [progress]: [ 83 / 233 ] simplifiying candidate # 22.118 * [simplify]: Simplifying (/ 1/2 (hypot 1 x)) 22.118 * * [simplify]: iters left: 3 (5 enodes) 22.120 * * [simplify]: iters left: 2 (17 enodes) 22.123 * * [simplify]: iters left: 1 (19 enodes) 22.127 * * [simplify]: Extracting #0: cost 1 inf + 0 22.127 * * [simplify]: Extracting #1: cost 4 inf + 0 22.127 * * [simplify]: Extracting #2: cost 6 inf + 1 22.127 * * [simplify]: Extracting #3: cost 0 inf + 313 22.127 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 22.127 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 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) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 22.127 * * * * [progress]: [ 84 / 233 ] simplifiying candidate # 22.127 * [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)))) 22.127 * * [simplify]: iters left: 6 (11 enodes) 22.137 * * [simplify]: iters left: 5 (51 enodes) 22.158 * * [simplify]: iters left: 4 (94 enodes) 22.197 * * [simplify]: iters left: 3 (184 enodes) 22.250 * * [simplify]: iters left: 2 (310 enodes) 22.425 * * [simplify]: Extracting #0: cost 1 inf + 0 22.425 * * [simplify]: Extracting #1: cost 5 inf + 0 22.425 * * [simplify]: Extracting #2: cost 45 inf + 1 22.426 * * [simplify]: Extracting #3: cost 101 inf + 5 22.426 * * [simplify]: Extracting #4: cost 88 inf + 2085 22.431 * * [simplify]: Extracting #5: cost 19 inf + 23244 22.439 * * [simplify]: Extracting #6: cost 0 inf + 32311 22.446 * * [simplify]: Extracting #7: cost 0 inf + 32180 22.454 * [simplify]: Simplified to (+ 1/8 (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)))) 22.454 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (+ 1/8 (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 22.455 * [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))))) 22.455 * * [simplify]: iters left: 6 (12 enodes) 22.463 * * [simplify]: iters left: 5 (48 enodes) 22.479 * * [simplify]: iters left: 4 (87 enodes) 22.506 * * [simplify]: iters left: 3 (126 enodes) 22.534 * * [simplify]: iters left: 2 (169 enodes) 22.564 * * [simplify]: iters left: 1 (256 enodes) 22.628 * * [simplify]: Extracting #0: cost 1 inf + 0 22.629 * * [simplify]: Extracting #1: cost 18 inf + 0 22.629 * * [simplify]: Extracting #2: cost 58 inf + 2 22.629 * * [simplify]: Extracting #3: cost 77 inf + 4 22.629 * * [simplify]: Extracting #4: cost 75 inf + 6 22.630 * * [simplify]: Extracting #5: cost 49 inf + 3272 22.634 * * [simplify]: Extracting #6: cost 10 inf + 9818 22.641 * * [simplify]: Extracting #7: cost 1 inf + 11658 22.647 * * [simplify]: Extracting #8: cost 0 inf + 11916 22.654 * * [simplify]: Extracting #9: cost 0 inf + 11915 22.660 * [simplify]: Simplified to (- 1/4 (/ (- 1/4 (/ 1/4 (hypot 1 x))) (hypot 1 x))) 22.660 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (+ 1/8 (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)))) (- 1/4 (/ (- 1/4 (/ 1/4 (hypot 1 x))) (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))))))) 22.661 * * * * [progress]: [ 85 / 233 ] simplifiying candidate # 22.661 * [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)))) 22.661 * * [simplify]: iters left: 6 (15 enodes) 22.675 * * [simplify]: iters left: 5 (74 enodes) 22.701 * * [simplify]: iters left: 4 (136 enodes) 22.743 * * [simplify]: iters left: 3 (244 enodes) 22.809 * * [simplify]: iters left: 2 (436 enodes) 22.981 * * [simplify]: Extracting #0: cost 1 inf + 0 22.981 * * [simplify]: Extracting #1: cost 4 inf + 0 22.981 * * [simplify]: Extracting #2: cost 8 inf + 0 22.982 * * [simplify]: Extracting #3: cost 29 inf + 0 22.982 * * [simplify]: Extracting #4: cost 75 inf + 3 22.983 * * [simplify]: Extracting #5: cost 126 inf + 7 22.984 * * [simplify]: Extracting #6: cost 110 inf + 2632 22.991 * * [simplify]: Extracting #7: cost 28 inf + 24570 23.001 * * [simplify]: Extracting #8: cost 0 inf + 36358 23.011 * * [simplify]: Extracting #9: cost 0 inf + 36279 23.022 * [simplify]: Simplified to (* (sqrt (+ 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (sqrt (+ -1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) 23.022 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (* (sqrt (+ 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (sqrt (+ -1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (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)))))) (* (+ 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))))))) 23.023 * [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))) 23.023 * * [simplify]: iters left: 6 (14 enodes) 23.030 * * [simplify]: iters left: 5 (60 enodes) 23.040 * * [simplify]: iters left: 4 (98 enodes) 23.062 * * [simplify]: iters left: 3 (140 enodes) 23.086 * * [simplify]: iters left: 2 (184 enodes) 23.127 * * [simplify]: iters left: 1 (265 enodes) 23.199 * * [simplify]: Extracting #0: cost 1 inf + 0 23.199 * * [simplify]: Extracting #1: cost 4 inf + 0 23.199 * * [simplify]: Extracting #2: cost 8 inf + 0 23.199 * * [simplify]: Extracting #3: cost 27 inf + 0 23.199 * * [simplify]: Extracting #4: cost 61 inf + 3 23.200 * * [simplify]: Extracting #5: cost 80 inf + 4 23.200 * * [simplify]: Extracting #6: cost 78 inf + 6 23.202 * * [simplify]: Extracting #7: cost 51 inf + 3209 23.205 * * [simplify]: Extracting #8: cost 11 inf + 10695 23.208 * * [simplify]: Extracting #9: cost 0 inf + 12573 23.212 * [simplify]: Simplified to (* (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ 1/4 (* (/ 1/2 (hypot 1 x)) (- (/ 1/2 (hypot 1 x)) 1/2))))) 23.212 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (* (sqrt (+ 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (sqrt (+ -1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (* (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ 1/4 (* (/ 1/2 (hypot 1 x)) (- (/ 1/2 (hypot 1 x)) 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))))))) 23.212 * * * * [progress]: [ 86 / 233 ] simplifiying candidate # 23.212 * [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)))) 23.213 * * [simplify]: iters left: 6 (15 enodes) 23.219 * * [simplify]: iters left: 5 (73 enodes) 23.237 * * [simplify]: iters left: 4 (138 enodes) 23.279 * * [simplify]: iters left: 3 (246 enodes) 23.390 * * [simplify]: iters left: 2 (437 enodes) 23.550 * * [simplify]: Extracting #0: cost 1 inf + 0 23.550 * * [simplify]: Extracting #1: cost 4 inf + 0 23.550 * * [simplify]: Extracting #2: cost 8 inf + 0 23.550 * * [simplify]: Extracting #3: cost 27 inf + 0 23.551 * * [simplify]: Extracting #4: cost 73 inf + 3 23.551 * * [simplify]: Extracting #5: cost 124 inf + 7 23.552 * * [simplify]: Extracting #6: cost 108 inf + 2068 23.555 * * [simplify]: Extracting #7: cost 29 inf + 21658 23.560 * * [simplify]: Extracting #8: cost 1 inf + 34623 23.565 * * [simplify]: Extracting #9: cost 0 inf + 35645 23.570 * [simplify]: Simplified to (* (sqrt (+ 1/8 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (sqrt (+ -1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) 23.570 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (* (sqrt (+ 1/8 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (sqrt (+ -1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (* (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 23.570 * [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))))) 23.570 * * [simplify]: iters left: 6 (14 enodes) 23.575 * * [simplify]: iters left: 5 (60 enodes) 23.590 * * [simplify]: iters left: 4 (98 enodes) 23.621 * * [simplify]: iters left: 3 (141 enodes) 23.640 * * [simplify]: iters left: 2 (184 enodes) 23.683 * * [simplify]: iters left: 1 (265 enodes) 23.745 * * [simplify]: Extracting #0: cost 1 inf + 0 23.745 * * [simplify]: Extracting #1: cost 4 inf + 0 23.745 * * [simplify]: Extracting #2: cost 8 inf + 0 23.745 * * [simplify]: Extracting #3: cost 27 inf + 0 23.746 * * [simplify]: Extracting #4: cost 61 inf + 3 23.746 * * [simplify]: Extracting #5: cost 80 inf + 4 23.746 * * [simplify]: Extracting #6: cost 78 inf + 6 23.747 * * [simplify]: Extracting #7: cost 57 inf + 2702 23.750 * * [simplify]: Extracting #8: cost 7 inf + 11288 23.753 * * [simplify]: Extracting #9: cost 0 inf + 12574 23.757 * * [simplify]: Extracting #10: cost 0 inf + 12573 23.764 * [simplify]: Simplified to (* (sqrt (+ 1/4 (* (/ 1/2 (hypot 1 x)) (- (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2))) 23.764 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (* (sqrt (+ 1/8 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (sqrt (+ -1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (* (sqrt (+ 1/4 (* (/ 1/2 (hypot 1 x)) (- (/ 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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 23.765 * * * * [progress]: [ 87 / 233 ] simplifiying candidate # 23.765 * [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)))) 23.765 * * [simplify]: iters left: 6 (10 enodes) 23.772 * * [simplify]: iters left: 5 (40 enodes) 23.787 * * [simplify]: iters left: 4 (63 enodes) 23.798 * * [simplify]: iters left: 3 (81 enodes) 23.812 * * [simplify]: iters left: 2 (122 enodes) 23.842 * * [simplify]: iters left: 1 (162 enodes) 23.886 * * [simplify]: Extracting #0: cost 1 inf + 0 23.886 * * [simplify]: Extracting #1: cost 20 inf + 0 23.886 * * [simplify]: Extracting #2: cost 45 inf + 2 23.886 * * [simplify]: Extracting #3: cost 54 inf + 4 23.887 * * [simplify]: Extracting #4: cost 52 inf + 6 23.888 * * [simplify]: Extracting #5: cost 34 inf + 2167 23.891 * * [simplify]: Extracting #6: cost 7 inf + 6700 23.896 * * [simplify]: Extracting #7: cost 0 inf + 8110 23.900 * [simplify]: Simplified to (- (/ 1/4 (* (hypot 1 x) (hypot 1 x))) 1/4) 23.900 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (- (/ 1/4 (* (hypot 1 x) (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 23.904 * [simplify]: Simplifying (* (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2))) 23.904 * * [simplify]: iters left: 6 (8 enodes) 23.909 * * [simplify]: iters left: 5 (27 enodes) 23.918 * * [simplify]: iters left: 4 (32 enodes) 23.926 * * [simplify]: Extracting #0: cost 1 inf + 0 23.927 * * [simplify]: Extracting #1: cost 6 inf + 0 23.927 * * [simplify]: Extracting #2: cost 7 inf + 2 23.927 * * [simplify]: Extracting #3: cost 10 inf + 2 23.927 * * [simplify]: Extracting #4: cost 8 inf + 4 23.927 * * [simplify]: Extracting #5: cost 3 inf + 532 23.927 * * [simplify]: Extracting #6: cost 0 inf + 946 23.928 * [simplify]: Simplified to (- (/ 1/2 (hypot 1 x)) 1/2) 23.928 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (- (/ 1/4 (* (hypot 1 x) (hypot 1 x))) 1/4) (- (/ 1/2 (hypot 1 x)) 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))))))) 23.928 * * * * [progress]: [ 88 / 233 ] simplifiying candidate # 23.928 * * * * [progress]: [ 89 / 233 ] simplifiying candidate # 23.929 * [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))))) 23.929 * * [simplify]: iters left: 6 (10 enodes) 23.934 * * [simplify]: iters left: 5 (37 enodes) 23.946 * * [simplify]: iters left: 4 (43 enodes) 23.960 * * [simplify]: iters left: 3 (53 enodes) 23.972 * * [simplify]: iters left: 2 (73 enodes) 23.987 * * [simplify]: iters left: 1 (119 enodes) 24.012 * * [simplify]: Extracting #0: cost 1 inf + 0 24.012 * * [simplify]: Extracting #1: cost 13 inf + 0 24.012 * * [simplify]: Extracting #2: cost 40 inf + 1 24.012 * * [simplify]: Extracting #3: cost 41 inf + 7 24.012 * * [simplify]: Extracting #4: cost 41 inf + 10 24.012 * * [simplify]: Extracting #5: cost 42 inf + 11 24.013 * * [simplify]: Extracting #6: cost 29 inf + 2397 24.018 * * [simplify]: Extracting #7: cost 10 inf + 12311 24.022 * * [simplify]: Extracting #8: cost 0 inf + 18798 24.027 * [simplify]: Simplified to (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 24.027 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (* (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 24.028 * [simplify]: Simplifying (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 24.028 * * [simplify]: iters left: 6 (9 enodes) 24.033 * * [simplify]: iters left: 5 (30 enodes) 24.042 * * [simplify]: iters left: 4 (32 enodes) 24.051 * * [simplify]: Extracting #0: cost 1 inf + 0 24.051 * * [simplify]: Extracting #1: cost 3 inf + 0 24.051 * * [simplify]: Extracting #2: cost 5 inf + 0 24.051 * * [simplify]: Extracting #3: cost 7 inf + 0 24.051 * * [simplify]: Extracting #4: cost 10 inf + 0 24.051 * * [simplify]: Extracting #5: cost 11 inf + 1 24.051 * * [simplify]: Extracting #6: cost 14 inf + 1 24.052 * * [simplify]: Extracting #7: cost 10 inf + 117 24.052 * * [simplify]: Extracting #8: cost 8 inf + 353 24.052 * * [simplify]: Extracting #9: cost 4 inf + 1025 24.053 * * [simplify]: Extracting #10: cost 0 inf + 2057 24.053 * [simplify]: Simplified to (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 24.053 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (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 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 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))))))) 24.054 * * * * [progress]: [ 90 / 233 ] simplifiying candidate # 24.054 * [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))))) 24.054 * * [simplify]: iters left: 6 (10 enodes) 24.059 * * [simplify]: iters left: 5 (32 enodes) 24.069 * * [simplify]: iters left: 4 (35 enodes) 24.078 * * [simplify]: Extracting #0: cost 1 inf + 0 24.078 * * [simplify]: Extracting #1: cost 4 inf + 0 24.078 * * [simplify]: Extracting #2: cost 7 inf + 0 24.078 * * [simplify]: Extracting #3: cost 10 inf + 0 24.078 * * [simplify]: Extracting #4: cost 11 inf + 1 24.078 * * [simplify]: Extracting #5: cost 14 inf + 1 24.078 * * [simplify]: Extracting #6: cost 11 inf + 60 24.078 * * [simplify]: Extracting #7: cost 8 inf + 353 24.078 * * [simplify]: Extracting #8: cost 1 inf + 1799 24.079 * * [simplify]: Extracting #9: cost 0 inf + 2057 24.079 * [simplify]: Simplified to (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 24.079 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 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))))))) 24.079 * [simplify]: Simplifying (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 24.079 * * [simplify]: iters left: 6 (9 enodes) 24.082 * * [simplify]: iters left: 5 (28 enodes) 24.086 * * [simplify]: iters left: 4 (31 enodes) 24.091 * * [simplify]: Extracting #0: cost 1 inf + 0 24.091 * * [simplify]: Extracting #1: cost 4 inf + 0 24.091 * * [simplify]: Extracting #2: cost 8 inf + 0 24.091 * * [simplify]: Extracting #3: cost 9 inf + 1 24.091 * * [simplify]: Extracting #4: cost 12 inf + 1 24.091 * * [simplify]: Extracting #5: cost 8 inf + 117 24.091 * * [simplify]: Extracting #6: cost 6 inf + 353 24.091 * * [simplify]: Extracting #7: cost 2 inf + 1065 24.092 * * [simplify]: Extracting #8: cost 0 inf + 1541 24.092 * [simplify]: Simplified to (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 24.092 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (* (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 24.092 * * * * [progress]: [ 91 / 233 ] simplifiying candidate # 24.092 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 24.092 * * [simplify]: iters left: 6 (9 enodes) 24.095 * * [simplify]: iters left: 5 (28 enodes) 24.099 * * [simplify]: iters left: 4 (31 enodes) 24.104 * * [simplify]: Extracting #0: cost 1 inf + 0 24.104 * * [simplify]: Extracting #1: cost 4 inf + 0 24.104 * * [simplify]: Extracting #2: cost 8 inf + 0 24.104 * * [simplify]: Extracting #3: cost 9 inf + 1 24.104 * * [simplify]: Extracting #4: cost 12 inf + 1 24.104 * * [simplify]: Extracting #5: cost 8 inf + 117 24.104 * * [simplify]: Extracting #6: cost 6 inf + 353 24.104 * * [simplify]: Extracting #7: cost 2 inf + 985 24.105 * * [simplify]: Extracting #8: cost 0 inf + 1381 24.105 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 24.105 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 24.105 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 24.105 * * [simplify]: iters left: 6 (9 enodes) 24.108 * * [simplify]: iters left: 5 (28 enodes) 24.116 * * [simplify]: iters left: 4 (31 enodes) 24.125 * * [simplify]: Extracting #0: cost 1 inf + 0 24.125 * * [simplify]: Extracting #1: cost 4 inf + 0 24.125 * * [simplify]: Extracting #2: cost 8 inf + 0 24.125 * * [simplify]: Extracting #3: cost 9 inf + 1 24.125 * * [simplify]: Extracting #4: cost 12 inf + 1 24.125 * * [simplify]: Extracting #5: cost 8 inf + 117 24.125 * * [simplify]: Extracting #6: cost 6 inf + 353 24.126 * * [simplify]: Extracting #7: cost 2 inf + 985 24.127 * * [simplify]: Extracting #8: cost 0 inf + 1381 24.127 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 24.127 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (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 (+ 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))))))) 24.127 * * * * [progress]: [ 92 / 233 ] simplifiying candidate # 24.128 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 24.128 * * [simplify]: iters left: 6 (9 enodes) 24.132 * * [simplify]: iters left: 5 (28 enodes) 24.138 * * [simplify]: iters left: 4 (31 enodes) 24.146 * * [simplify]: Extracting #0: cost 1 inf + 0 24.146 * * [simplify]: Extracting #1: cost 4 inf + 0 24.146 * * [simplify]: Extracting #2: cost 8 inf + 0 24.146 * * [simplify]: Extracting #3: cost 9 inf + 1 24.146 * * [simplify]: Extracting #4: cost 12 inf + 1 24.146 * * [simplify]: Extracting #5: cost 8 inf + 117 24.146 * * [simplify]: Extracting #6: cost 6 inf + 353 24.146 * * [simplify]: Extracting #7: cost 2 inf + 985 24.147 * * [simplify]: Extracting #8: cost 0 inf + 1381 24.147 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 24.147 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 24.147 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 24.147 * * [simplify]: iters left: 6 (9 enodes) 24.150 * * [simplify]: iters left: 5 (28 enodes) 24.154 * * [simplify]: iters left: 4 (31 enodes) 24.158 * * [simplify]: Extracting #0: cost 1 inf + 0 24.158 * * [simplify]: Extracting #1: cost 4 inf + 0 24.158 * * [simplify]: Extracting #2: cost 8 inf + 0 24.158 * * [simplify]: Extracting #3: cost 9 inf + 1 24.158 * * [simplify]: Extracting #4: cost 12 inf + 1 24.158 * * [simplify]: Extracting #5: cost 8 inf + 117 24.159 * * [simplify]: Extracting #6: cost 6 inf + 353 24.159 * * [simplify]: Extracting #7: cost 2 inf + 985 24.159 * * [simplify]: Extracting #8: cost 0 inf + 1381 24.159 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 24.159 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (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 (+ 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))))))) 24.159 * * * * [progress]: [ 93 / 233 ] simplifiying candidate # 24.160 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 24.160 * * [simplify]: iters left: 3 (3 enodes) 24.162 * * [simplify]: iters left: 2 (9 enodes) 24.163 * * [simplify]: iters left: 1 (11 enodes) 24.166 * * [simplify]: Extracting #0: cost 1 inf + 0 24.166 * * [simplify]: Extracting #1: cost 0 inf + 1 24.166 * [simplify]: Simplified to 1 24.166 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 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)) (sqrt (+ (/ 1/2 (hypot 1 x)) 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))))))) 24.166 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 24.167 * * [simplify]: iters left: 6 (8 enodes) 24.170 * * [simplify]: iters left: 5 (25 enodes) 24.178 * * [simplify]: iters left: 4 (28 enodes) 24.186 * * [simplify]: Extracting #0: cost 1 inf + 0 24.186 * * [simplify]: Extracting #1: cost 5 inf + 0 24.186 * * [simplify]: Extracting #2: cost 7 inf + 1 24.186 * * [simplify]: Extracting #3: cost 10 inf + 1 24.186 * * [simplify]: Extracting #4: cost 8 inf + 3 24.186 * * [simplify]: Extracting #5: cost 3 inf + 491 24.187 * * [simplify]: Extracting #6: cost 1 inf + 767 24.187 * * [simplify]: Extracting #7: cost 0 inf + 945 24.187 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 24.188 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 24.188 * * * * [progress]: [ 94 / 233 ] simplifiying candidate # 24.188 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 24.188 * * [simplify]: iters left: 3 (3 enodes) 24.192 * * [simplify]: iters left: 2 (9 enodes) 24.194 * * [simplify]: iters left: 1 (11 enodes) 24.197 * * [simplify]: Extracting #0: cost 1 inf + 0 24.197 * * [simplify]: Extracting #1: cost 0 inf + 1 24.197 * [simplify]: Simplified to 1 24.197 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 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)) (sqrt (+ (/ 1/2 (hypot 1 x)) 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))))))) 24.198 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 24.198 * * [simplify]: iters left: 6 (8 enodes) 24.202 * * [simplify]: iters left: 5 (25 enodes) 24.210 * * [simplify]: iters left: 4 (28 enodes) 24.218 * * [simplify]: Extracting #0: cost 1 inf + 0 24.218 * * [simplify]: Extracting #1: cost 5 inf + 0 24.219 * * [simplify]: Extracting #2: cost 7 inf + 1 24.219 * * [simplify]: Extracting #3: cost 10 inf + 1 24.219 * * [simplify]: Extracting #4: cost 8 inf + 3 24.219 * * [simplify]: Extracting #5: cost 3 inf + 491 24.219 * * [simplify]: Extracting #6: cost 1 inf + 767 24.220 * * [simplify]: Extracting #7: cost 0 inf + 945 24.220 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 24.220 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 24.221 * * * * [progress]: [ 95 / 233 ] simplifiying candidate # 24.221 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 24.221 * * [simplify]: iters left: 3 (3 enodes) 24.225 * * [simplify]: iters left: 2 (9 enodes) 24.228 * * [simplify]: iters left: 1 (11 enodes) 24.231 * * [simplify]: Extracting #0: cost 1 inf + 0 24.231 * * [simplify]: Extracting #1: cost 0 inf + 1 24.231 * [simplify]: Simplified to 1 24.231 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 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)) (sqrt (+ (/ 1/2 (hypot 1 x)) 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))))))) 24.231 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 24.231 * * [simplify]: iters left: 6 (8 enodes) 24.236 * * [simplify]: iters left: 5 (25 enodes) 24.243 * * [simplify]: iters left: 4 (28 enodes) 24.252 * * [simplify]: Extracting #0: cost 1 inf + 0 24.252 * * [simplify]: Extracting #1: cost 5 inf + 0 24.252 * * [simplify]: Extracting #2: cost 7 inf + 1 24.252 * * [simplify]: Extracting #3: cost 10 inf + 1 24.252 * * [simplify]: Extracting #4: cost 8 inf + 3 24.252 * * [simplify]: Extracting #5: cost 3 inf + 491 24.252 * * [simplify]: Extracting #6: cost 1 inf + 767 24.253 * * [simplify]: Extracting #7: cost 0 inf + 945 24.253 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 24.253 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 24.253 * * * * [progress]: [ 96 / 233 ] simplifiying candidate # 24.254 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 24.254 * * [simplify]: iters left: 3 (3 enodes) 24.257 * * [simplify]: iters left: 2 (9 enodes) 24.260 * * [simplify]: iters left: 1 (11 enodes) 24.263 * * [simplify]: Extracting #0: cost 1 inf + 0 24.263 * * [simplify]: Extracting #1: cost 0 inf + 1 24.263 * [simplify]: Simplified to 1 24.263 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 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)) (sqrt (+ (/ 1/2 (hypot 1 x)) 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))))))) 24.263 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 24.263 * * [simplify]: iters left: 6 (8 enodes) 24.267 * * [simplify]: iters left: 5 (25 enodes) 24.275 * * [simplify]: iters left: 4 (28 enodes) 24.284 * * [simplify]: Extracting #0: cost 1 inf + 0 24.284 * * [simplify]: Extracting #1: cost 5 inf + 0 24.284 * * [simplify]: Extracting #2: cost 7 inf + 1 24.284 * * [simplify]: Extracting #3: cost 10 inf + 1 24.284 * * [simplify]: Extracting #4: cost 8 inf + 3 24.284 * * [simplify]: Extracting #5: cost 3 inf + 491 24.284 * * [simplify]: Extracting #6: cost 1 inf + 767 24.285 * * [simplify]: Extracting #7: cost 0 inf + 945 24.285 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 24.285 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 24.285 * * * * [progress]: [ 97 / 233 ] simplifiying candidate # 24.286 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 24.286 * * [simplify]: iters left: 6 (9 enodes) 24.294 * * [simplify]: iters left: 5 (28 enodes) 24.303 * * [simplify]: iters left: 4 (31 enodes) 24.312 * * [simplify]: Extracting #0: cost 1 inf + 0 24.312 * * [simplify]: Extracting #1: cost 4 inf + 0 24.312 * * [simplify]: Extracting #2: cost 8 inf + 0 24.312 * * [simplify]: Extracting #3: cost 9 inf + 1 24.312 * * [simplify]: Extracting #4: cost 12 inf + 1 24.312 * * [simplify]: Extracting #5: cost 8 inf + 117 24.312 * * [simplify]: Extracting #6: cost 6 inf + 353 24.313 * * [simplify]: Extracting #7: cost 2 inf + 985 24.313 * * [simplify]: Extracting #8: cost 0 inf + 1381 24.314 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 24.314 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 24.314 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 24.315 * * [simplify]: iters left: 6 (9 enodes) 24.319 * * [simplify]: iters left: 5 (28 enodes) 24.328 * * [simplify]: iters left: 4 (31 enodes) 24.337 * * [simplify]: Extracting #0: cost 1 inf + 0 24.337 * * [simplify]: Extracting #1: cost 4 inf + 0 24.338 * * [simplify]: Extracting #2: cost 8 inf + 0 24.338 * * [simplify]: Extracting #3: cost 9 inf + 1 24.338 * * [simplify]: Extracting #4: cost 12 inf + 1 24.338 * * [simplify]: Extracting #5: cost 8 inf + 117 24.338 * * [simplify]: Extracting #6: cost 6 inf + 353 24.338 * * [simplify]: Extracting #7: cost 2 inf + 985 24.339 * * [simplify]: Extracting #8: cost 0 inf + 1381 24.339 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 24.339 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (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 (+ 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))))))) 24.340 * * * * [progress]: [ 98 / 233 ] simplifiying candidate # 24.340 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 24.340 * * [simplify]: iters left: 6 (9 enodes) 24.345 * * [simplify]: iters left: 5 (28 enodes) 24.353 * * [simplify]: iters left: 4 (31 enodes) 24.357 * * [simplify]: Extracting #0: cost 1 inf + 0 24.357 * * [simplify]: Extracting #1: cost 4 inf + 0 24.357 * * [simplify]: Extracting #2: cost 8 inf + 0 24.358 * * [simplify]: Extracting #3: cost 9 inf + 1 24.358 * * [simplify]: Extracting #4: cost 12 inf + 1 24.358 * * [simplify]: Extracting #5: cost 8 inf + 117 24.358 * * [simplify]: Extracting #6: cost 6 inf + 353 24.358 * * [simplify]: Extracting #7: cost 2 inf + 985 24.358 * * [simplify]: Extracting #8: cost 0 inf + 1381 24.358 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 24.358 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 24.359 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 24.359 * * [simplify]: iters left: 6 (9 enodes) 24.361 * * [simplify]: iters left: 5 (28 enodes) 24.366 * * [simplify]: iters left: 4 (31 enodes) 24.370 * * [simplify]: Extracting #0: cost 1 inf + 0 24.370 * * [simplify]: Extracting #1: cost 4 inf + 0 24.370 * * [simplify]: Extracting #2: cost 8 inf + 0 24.370 * * [simplify]: Extracting #3: cost 9 inf + 1 24.370 * * [simplify]: Extracting #4: cost 12 inf + 1 24.371 * * [simplify]: Extracting #5: cost 8 inf + 117 24.371 * * [simplify]: Extracting #6: cost 6 inf + 353 24.371 * * [simplify]: Extracting #7: cost 2 inf + 985 24.371 * * [simplify]: Extracting #8: cost 0 inf + 1381 24.371 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 24.371 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (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 (+ 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))))))) 24.372 * * * * [progress]: [ 99 / 233 ] simplifiying candidate # 24.372 * [simplify]: Simplifying (* 1 1) 24.372 * * [simplify]: iters left: 2 (2 enodes) 24.373 * * [simplify]: iters left: 1 (6 enodes) 24.375 * * [simplify]: Extracting #0: cost 1 inf + 0 24.375 * * [simplify]: Extracting #1: cost 0 inf + 1 24.375 * [simplify]: Simplified to 1 24.375 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 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)) (sqrt (+ (/ 1/2 (hypot 1 x)) 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))))))) 24.376 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 24.376 * * [simplify]: iters left: 6 (8 enodes) 24.380 * * [simplify]: iters left: 5 (25 enodes) 24.388 * * [simplify]: iters left: 4 (28 enodes) 24.396 * * [simplify]: Extracting #0: cost 1 inf + 0 24.396 * * [simplify]: Extracting #1: cost 5 inf + 0 24.396 * * [simplify]: Extracting #2: cost 7 inf + 1 24.396 * * [simplify]: Extracting #3: cost 10 inf + 1 24.396 * * [simplify]: Extracting #4: cost 8 inf + 3 24.396 * * [simplify]: Extracting #5: cost 3 inf + 491 24.396 * * [simplify]: Extracting #6: cost 1 inf + 767 24.397 * * [simplify]: Extracting #7: cost 0 inf + 945 24.397 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 24.397 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (* 1 1) (+ 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))))))) 24.397 * * * * [progress]: [ 100 / 233 ] simplifiying candidate # 24.397 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 24.397 * * [simplify]: iters left: 6 (9 enodes) 24.400 * * [simplify]: iters left: 5 (28 enodes) 24.404 * * [simplify]: iters left: 4 (31 enodes) 24.409 * * [simplify]: Extracting #0: cost 1 inf + 0 24.409 * * [simplify]: Extracting #1: cost 4 inf + 0 24.409 * * [simplify]: Extracting #2: cost 8 inf + 0 24.409 * * [simplify]: Extracting #3: cost 9 inf + 1 24.409 * * [simplify]: Extracting #4: cost 12 inf + 1 24.409 * * [simplify]: Extracting #5: cost 8 inf + 117 24.409 * * [simplify]: Extracting #6: cost 6 inf + 353 24.409 * * [simplify]: Extracting #7: cost 2 inf + 985 24.410 * * [simplify]: Extracting #8: cost 0 inf + 1381 24.410 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 24.410 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 24.410 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 24.410 * * [simplify]: iters left: 6 (9 enodes) 24.413 * * [simplify]: iters left: 5 (28 enodes) 24.419 * * [simplify]: iters left: 4 (31 enodes) 24.424 * * [simplify]: Extracting #0: cost 1 inf + 0 24.424 * * [simplify]: Extracting #1: cost 4 inf + 0 24.424 * * [simplify]: Extracting #2: cost 8 inf + 0 24.424 * * [simplify]: Extracting #3: cost 9 inf + 1 24.424 * * [simplify]: Extracting #4: cost 12 inf + 1 24.424 * * [simplify]: Extracting #5: cost 8 inf + 117 24.424 * * [simplify]: Extracting #6: cost 6 inf + 353 24.424 * * [simplify]: Extracting #7: cost 2 inf + 985 24.425 * * [simplify]: Extracting #8: cost 0 inf + 1381 24.425 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 24.425 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (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 (+ 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))))))) 24.425 * * * * [progress]: [ 101 / 233 ] simplifiying candidate # 24.425 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 24.426 * * [simplify]: iters left: 6 (9 enodes) 24.428 * * [simplify]: iters left: 5 (28 enodes) 24.433 * * [simplify]: iters left: 4 (31 enodes) 24.442 * * [simplify]: Extracting #0: cost 1 inf + 0 24.442 * * [simplify]: Extracting #1: cost 4 inf + 0 24.442 * * [simplify]: Extracting #2: cost 8 inf + 0 24.442 * * [simplify]: Extracting #3: cost 9 inf + 1 24.442 * * [simplify]: Extracting #4: cost 12 inf + 1 24.442 * * [simplify]: Extracting #5: cost 8 inf + 117 24.443 * * [simplify]: Extracting #6: cost 6 inf + 353 24.443 * * [simplify]: Extracting #7: cost 2 inf + 985 24.444 * * [simplify]: Extracting #8: cost 0 inf + 1381 24.444 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 24.444 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 24.445 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 24.445 * * [simplify]: iters left: 6 (9 enodes) 24.449 * * [simplify]: iters left: 5 (28 enodes) 24.458 * * [simplify]: iters left: 4 (31 enodes) 24.466 * * [simplify]: Extracting #0: cost 1 inf + 0 24.467 * * [simplify]: Extracting #1: cost 4 inf + 0 24.467 * * [simplify]: Extracting #2: cost 8 inf + 0 24.467 * * [simplify]: Extracting #3: cost 9 inf + 1 24.467 * * [simplify]: Extracting #4: cost 12 inf + 1 24.467 * * [simplify]: Extracting #5: cost 8 inf + 117 24.467 * * [simplify]: Extracting #6: cost 6 inf + 353 24.467 * * [simplify]: Extracting #7: cost 2 inf + 985 24.468 * * [simplify]: Extracting #8: cost 0 inf + 1381 24.468 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 24.468 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (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 (+ 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))))))) 24.469 * * * * [progress]: [ 102 / 233 ] simplifiying candidate # 24.469 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 24.469 * * [simplify]: iters left: 6 (9 enodes) 24.474 * * [simplify]: iters left: 5 (28 enodes) 24.482 * * [simplify]: iters left: 4 (31 enodes) 24.491 * * [simplify]: Extracting #0: cost 1 inf + 0 24.491 * * [simplify]: Extracting #1: cost 4 inf + 0 24.491 * * [simplify]: Extracting #2: cost 8 inf + 0 24.491 * * [simplify]: Extracting #3: cost 9 inf + 1 24.491 * * [simplify]: Extracting #4: cost 12 inf + 1 24.491 * * [simplify]: Extracting #5: cost 8 inf + 117 24.491 * * [simplify]: Extracting #6: cost 6 inf + 353 24.492 * * [simplify]: Extracting #7: cost 2 inf + 985 24.492 * * [simplify]: Extracting #8: cost 0 inf + 1381 24.493 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 24.493 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 24.493 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 24.493 * * [simplify]: iters left: 6 (9 enodes) 24.498 * * [simplify]: iters left: 5 (28 enodes) 24.507 * * [simplify]: iters left: 4 (31 enodes) 24.515 * * [simplify]: Extracting #0: cost 1 inf + 0 24.515 * * [simplify]: Extracting #1: cost 4 inf + 0 24.515 * * [simplify]: Extracting #2: cost 8 inf + 0 24.516 * * [simplify]: Extracting #3: cost 9 inf + 1 24.516 * * [simplify]: Extracting #4: cost 12 inf + 1 24.516 * * [simplify]: Extracting #5: cost 8 inf + 117 24.516 * * [simplify]: Extracting #6: cost 6 inf + 353 24.516 * * [simplify]: Extracting #7: cost 2 inf + 985 24.517 * * [simplify]: Extracting #8: cost 0 inf + 1381 24.517 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 24.517 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (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 (+ 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))))))) 24.518 * * * * [progress]: [ 103 / 233 ] simplifiying candidate # 24.518 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 24.518 * * [simplify]: iters left: 6 (9 enodes) 24.523 * * [simplify]: iters left: 5 (28 enodes) 24.531 * * [simplify]: iters left: 4 (31 enodes) 24.540 * * [simplify]: Extracting #0: cost 1 inf + 0 24.540 * * [simplify]: Extracting #1: cost 4 inf + 0 24.540 * * [simplify]: Extracting #2: cost 8 inf + 0 24.540 * * [simplify]: Extracting #3: cost 9 inf + 1 24.540 * * [simplify]: Extracting #4: cost 12 inf + 1 24.540 * * [simplify]: Extracting #5: cost 8 inf + 117 24.541 * * [simplify]: Extracting #6: cost 6 inf + 353 24.541 * * [simplify]: Extracting #7: cost 2 inf + 985 24.541 * * [simplify]: Extracting #8: cost 0 inf + 1381 24.542 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 24.542 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 24.542 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 24.543 * * [simplify]: iters left: 6 (9 enodes) 24.547 * * [simplify]: iters left: 5 (28 enodes) 24.555 * * [simplify]: iters left: 4 (31 enodes) 24.562 * * [simplify]: Extracting #0: cost 1 inf + 0 24.562 * * [simplify]: Extracting #1: cost 4 inf + 0 24.562 * * [simplify]: Extracting #2: cost 8 inf + 0 24.562 * * [simplify]: Extracting #3: cost 9 inf + 1 24.562 * * [simplify]: Extracting #4: cost 12 inf + 1 24.562 * * [simplify]: Extracting #5: cost 8 inf + 117 24.562 * * [simplify]: Extracting #6: cost 6 inf + 353 24.562 * * [simplify]: Extracting #7: cost 2 inf + 985 24.563 * * [simplify]: Extracting #8: cost 0 inf + 1381 24.563 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 24.563 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (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 (+ 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))))))) 24.563 * * * * [progress]: [ 104 / 233 ] simplifiying candidate # 24.563 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 24.563 * * [simplify]: iters left: 5 (6 enodes) 24.565 * * [simplify]: iters left: 4 (21 enodes) 24.568 * * [simplify]: iters left: 3 (23 enodes) 24.572 * * [simplify]: Extracting #0: cost 1 inf + 0 24.572 * * [simplify]: Extracting #1: cost 4 inf + 0 24.572 * * [simplify]: Extracting #2: cost 5 inf + 1 24.572 * * [simplify]: Extracting #3: cost 8 inf + 1 24.572 * * [simplify]: Extracting #4: cost 6 inf + 3 24.572 * * [simplify]: Extracting #5: cost 0 inf + 589 24.572 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 24.572 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (pow (+ 1/2 (/ 1/2 (hypot 1 x))) (* 2 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))))))) 24.573 * [simplify]: Simplifying (* 2 1/2) 24.573 * * [simplify]: iters left: 2 (3 enodes) 24.575 * * [simplify]: iters left: 1 (11 enodes) 24.576 * * [simplify]: Extracting #0: cost 1 inf + 0 24.576 * * [simplify]: Extracting #1: cost 0 inf + 1 24.576 * [simplify]: Simplified to 1 24.577 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 1))) (* (+ 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))))))) 24.577 * * * * [progress]: [ 105 / 233 ] simplifiying candidate # 24.577 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 24.577 * * [simplify]: iters left: 6 (7 enodes) 24.579 * * [simplify]: iters left: 5 (24 enodes) 24.583 * * [simplify]: iters left: 4 (26 enodes) 24.586 * * [simplify]: Extracting #0: cost 1 inf + 0 24.586 * * [simplify]: Extracting #1: cost 3 inf + 0 24.586 * * [simplify]: Extracting #2: cost 6 inf + 0 24.586 * * [simplify]: Extracting #3: cost 7 inf + 1 24.587 * * [simplify]: Extracting #4: cost 10 inf + 1 24.587 * * [simplify]: Extracting #5: cost 6 inf + 117 24.587 * * [simplify]: Extracting #6: cost 2 inf + 629 24.587 * * [simplify]: Extracting #7: cost 0 inf + 945 24.587 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 24.587 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (pow (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* 2 1)))) (* (+ 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))))))) 24.587 * [simplify]: Simplifying (* 2 1) 24.587 * * [simplify]: iters left: 2 (3 enodes) 24.590 * * [simplify]: iters left: 1 (9 enodes) 24.593 * * [simplify]: Extracting #0: cost 1 inf + 0 24.593 * * [simplify]: Extracting #1: cost 0 inf + 1 24.593 * [simplify]: Simplified to 2 24.593 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 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))))))) 24.593 * * * * [progress]: [ 106 / 233 ] simplifiying candidate # 24.593 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 24.594 * * [simplify]: iters left: 5 (6 enodes) 24.596 * * [simplify]: iters left: 4 (21 enodes) 24.603 * * [simplify]: iters left: 3 (23 enodes) 24.607 * * [simplify]: Extracting #0: cost 1 inf + 0 24.607 * * [simplify]: Extracting #1: cost 4 inf + 0 24.607 * * [simplify]: Extracting #2: cost 5 inf + 1 24.607 * * [simplify]: Extracting #3: cost 8 inf + 1 24.607 * * [simplify]: Extracting #4: cost 6 inf + 3 24.607 * * [simplify]: Extracting #5: cost 0 inf + 589 24.607 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 24.607 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (pow (+ 1/2 (/ 1/2 (hypot 1 x))) (* 2 (/ 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))))))) 24.608 * [simplify]: Simplifying (* 2 (/ 1 2)) 24.608 * * [simplify]: iters left: 4 (4 enodes) 24.610 * * [simplify]: iters left: 3 (13 enodes) 24.612 * * [simplify]: iters left: 2 (15 enodes) 24.615 * * [simplify]: Extracting #0: cost 1 inf + 0 24.615 * * [simplify]: Extracting #1: cost 0 inf + 1 24.615 * [simplify]: Simplified to 1 24.615 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 1))) (* (+ 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))))))) 24.615 * * * * [progress]: [ 107 / 233 ] simplifiying candidate # 24.615 * [simplify]: Simplifying (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 24.615 * * [simplify]: iters left: 6 (8 enodes) 24.617 * * [simplify]: iters left: 5 (27 enodes) 24.622 * * [simplify]: iters left: 4 (29 enodes) 24.626 * * [simplify]: Extracting #0: cost 1 inf + 0 24.626 * * [simplify]: Extracting #1: cost 3 inf + 0 24.626 * * [simplify]: Extracting #2: cost 5 inf + 0 24.626 * * [simplify]: Extracting #3: cost 8 inf + 0 24.626 * * [simplify]: Extracting #4: cost 9 inf + 1 24.626 * * [simplify]: Extracting #5: cost 12 inf + 1 24.626 * * [simplify]: Extracting #6: cost 9 inf + 60 24.626 * * [simplify]: Extracting #7: cost 5 inf + 451 24.627 * * [simplify]: Extracting #8: cost 1 inf + 1203 24.627 * * [simplify]: Extracting #9: cost 0 inf + 1461 24.627 * [simplify]: Simplified to (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 24.627 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 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)) (* (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 24.627 * * * * [progress]: [ 108 / 233 ] simplifiying candidate # 24.628 * [simplify]: Simplifying (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 24.628 * * [simplify]: iters left: 6 (8 enodes) 24.630 * * [simplify]: iters left: 5 (27 enodes) 24.634 * * [simplify]: iters left: 4 (29 enodes) 24.639 * * [simplify]: Extracting #0: cost 1 inf + 0 24.639 * * [simplify]: Extracting #1: cost 3 inf + 0 24.639 * * [simplify]: Extracting #2: cost 5 inf + 0 24.639 * * [simplify]: Extracting #3: cost 8 inf + 0 24.639 * * [simplify]: Extracting #4: cost 9 inf + 1 24.639 * * [simplify]: Extracting #5: cost 12 inf + 1 24.639 * * [simplify]: Extracting #6: cost 9 inf + 60 24.639 * * [simplify]: Extracting #7: cost 5 inf + 451 24.639 * * [simplify]: Extracting #8: cost 1 inf + 1283 24.640 * * [simplify]: Extracting #9: cost 0 inf + 1541 24.640 * [simplify]: Simplified to (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 24.640 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 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 (* (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 24.641 * * * * [progress]: [ 109 / 233 ] simplifiying candidate # 24.641 * [simplify]: Simplifying (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 24.641 * * [simplify]: iters left: 6 (8 enodes) 24.645 * * [simplify]: iters left: 5 (27 enodes) 24.653 * * [simplify]: iters left: 4 (29 enodes) 24.664 * * [simplify]: Extracting #0: cost 1 inf + 0 24.664 * * [simplify]: Extracting #1: cost 3 inf + 0 24.664 * * [simplify]: Extracting #2: cost 5 inf + 0 24.664 * * [simplify]: Extracting #3: cost 8 inf + 0 24.664 * * [simplify]: Extracting #4: cost 9 inf + 1 24.664 * * [simplify]: Extracting #5: cost 12 inf + 1 24.665 * * [simplify]: Extracting #6: cost 9 inf + 60 24.665 * * [simplify]: Extracting #7: cost 5 inf + 451 24.665 * * [simplify]: Extracting #8: cost 1 inf + 1163 24.666 * * [simplify]: Extracting #9: cost 0 inf + 1381 24.666 * [simplify]: Simplified to (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 24.666 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 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 (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 24.667 * * * * [progress]: [ 110 / 233 ] simplifiying candidate # 24.667 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 24.667 * * [simplify]: iters left: 6 (7 enodes) 24.671 * * [simplify]: iters left: 5 (24 enodes) 24.678 * * [simplify]: iters left: 4 (26 enodes) 24.686 * * [simplify]: Extracting #0: cost 1 inf + 0 24.686 * * [simplify]: Extracting #1: cost 3 inf + 0 24.686 * * [simplify]: Extracting #2: cost 6 inf + 0 24.686 * * [simplify]: Extracting #3: cost 7 inf + 1 24.686 * * [simplify]: Extracting #4: cost 10 inf + 1 24.686 * * [simplify]: Extracting #5: cost 6 inf + 117 24.687 * * [simplify]: Extracting #6: cost 2 inf + 629 24.687 * * [simplify]: Extracting #7: cost 0 inf + 945 24.687 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 24.687 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 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)) (sqrt (+ 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))))))) 24.688 * * * * [progress]: [ 111 / 233 ] simplifiying candidate # 24.688 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 24.688 * * [simplify]: iters left: 6 (7 enodes) 24.692 * * [simplify]: iters left: 5 (24 enodes) 24.699 * * [simplify]: iters left: 4 (26 enodes) 24.707 * * [simplify]: Extracting #0: cost 1 inf + 0 24.707 * * [simplify]: Extracting #1: cost 3 inf + 0 24.707 * * [simplify]: Extracting #2: cost 6 inf + 0 24.707 * * [simplify]: Extracting #3: cost 7 inf + 1 24.707 * * [simplify]: Extracting #4: cost 10 inf + 1 24.707 * * [simplify]: Extracting #5: cost 6 inf + 117 24.707 * * [simplify]: Extracting #6: cost 2 inf + 629 24.708 * * [simplify]: Extracting #7: cost 0 inf + 945 24.708 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 24.708 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 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)) (sqrt (+ 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))))))) 24.708 * * * * [progress]: [ 112 / 233 ] simplifiying candidate # 24.709 * [simplify]: Simplifying (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 24.709 * * [simplify]: iters left: 6 (8 enodes) 24.713 * * [simplify]: iters left: 5 (27 enodes) 24.721 * * [simplify]: iters left: 4 (29 enodes) 24.729 * * [simplify]: Extracting #0: cost 1 inf + 0 24.729 * * [simplify]: Extracting #1: cost 3 inf + 0 24.729 * * [simplify]: Extracting #2: cost 5 inf + 0 24.729 * * [simplify]: Extracting #3: cost 8 inf + 0 24.729 * * [simplify]: Extracting #4: cost 9 inf + 1 24.729 * * [simplify]: Extracting #5: cost 12 inf + 1 24.729 * * [simplify]: Extracting #6: cost 9 inf + 60 24.730 * * [simplify]: Extracting #7: cost 5 inf + 451 24.730 * * [simplify]: Extracting #8: cost 1 inf + 1163 24.730 * * [simplify]: Extracting #9: cost 0 inf + 1381 24.731 * [simplify]: Simplified to (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 24.731 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 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 (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 24.731 * * * * [progress]: [ 113 / 233 ] simplifiying candidate # 24.731 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 24.732 * * [simplify]: iters left: 6 (7 enodes) 24.735 * * [simplify]: iters left: 5 (24 enodes) 24.743 * * [simplify]: iters left: 4 (26 enodes) 24.751 * * [simplify]: Extracting #0: cost 1 inf + 0 24.751 * * [simplify]: Extracting #1: cost 3 inf + 0 24.751 * * [simplify]: Extracting #2: cost 6 inf + 0 24.751 * * [simplify]: Extracting #3: cost 7 inf + 1 24.751 * * [simplify]: Extracting #4: cost 10 inf + 1 24.751 * * [simplify]: Extracting #5: cost 6 inf + 117 24.751 * * [simplify]: Extracting #6: cost 2 inf + 629 24.751 * * [simplify]: Extracting #7: cost 0 inf + 945 24.752 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 24.752 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 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)) 1) (sqrt (+ 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))))))) 24.752 * * * * [progress]: [ 114 / 233 ] simplifiying candidate # 24.752 * [simplify]: Simplifying (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 24.752 * * [simplify]: iters left: 6 (9 enodes) 24.754 * * [simplify]: iters left: 5 (30 enodes) 24.759 * * [simplify]: iters left: 4 (32 enodes) 24.764 * * [simplify]: Extracting #0: cost 1 inf + 0 24.764 * * [simplify]: Extracting #1: cost 3 inf + 0 24.764 * * [simplify]: Extracting #2: cost 5 inf + 0 24.764 * * [simplify]: Extracting #3: cost 7 inf + 0 24.764 * * [simplify]: Extracting #4: cost 10 inf + 0 24.764 * * [simplify]: Extracting #5: cost 11 inf + 1 24.765 * * [simplify]: Extracting #6: cost 14 inf + 1 24.765 * * [simplify]: Extracting #7: cost 10 inf + 117 24.765 * * [simplify]: Extracting #8: cost 8 inf + 353 24.765 * * [simplify]: Extracting #9: cost 4 inf + 1025 24.765 * * [simplify]: Extracting #10: cost 0 inf + 2057 24.765 * [simplify]: Simplified to (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 24.765 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (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)))))) (* (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 24.766 * * * * [progress]: [ 115 / 233 ] simplifiying candidate # 24.766 * [simplify]: Simplifying (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 24.766 * * [simplify]: iters left: 6 (9 enodes) 24.768 * * [simplify]: iters left: 5 (31 enodes) 24.773 * * [simplify]: iters left: 4 (33 enodes) 24.778 * * [simplify]: Extracting #0: cost 1 inf + 0 24.778 * * [simplify]: Extracting #1: cost 4 inf + 0 24.779 * * [simplify]: Extracting #2: cost 7 inf + 0 24.779 * * [simplify]: Extracting #3: cost 10 inf + 0 24.779 * * [simplify]: Extracting #4: cost 11 inf + 1 24.779 * * [simplify]: Extracting #5: cost 14 inf + 1 24.779 * * [simplify]: Extracting #6: cost 11 inf + 60 24.779 * * [simplify]: Extracting #7: cost 7 inf + 451 24.779 * * [simplify]: Extracting #8: cost 0 inf + 2057 24.779 * [simplify]: Simplified to (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 24.779 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 24.780 * * * * [progress]: [ 116 / 233 ] simplifiying candidate # 24.780 * [simplify]: Simplifying (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 24.780 * * [simplify]: iters left: 6 (8 enodes) 24.782 * * [simplify]: iters left: 5 (27 enodes) 24.789 * * [simplify]: iters left: 4 (29 enodes) 24.800 * * [simplify]: Extracting #0: cost 1 inf + 0 24.801 * * [simplify]: Extracting #1: cost 3 inf + 0 24.801 * * [simplify]: Extracting #2: cost 5 inf + 0 24.801 * * [simplify]: Extracting #3: cost 8 inf + 0 24.801 * * [simplify]: Extracting #4: cost 9 inf + 1 24.801 * * [simplify]: Extracting #5: cost 12 inf + 1 24.801 * * [simplify]: Extracting #6: cost 9 inf + 60 24.801 * * [simplify]: Extracting #7: cost 5 inf + 451 24.801 * * [simplify]: Extracting #8: cost 1 inf + 1163 24.802 * * [simplify]: Extracting #9: cost 0 inf + 1381 24.802 * [simplify]: Simplified to (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 24.802 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 24.803 * * * * [progress]: [ 117 / 233 ] simplifiying candidate # 24.803 * [simplify]: Simplifying (sqrt 1) 24.803 * * [simplify]: iters left: 1 (2 enodes) 24.806 * * [simplify]: Extracting #0: cost 1 inf + 0 24.806 * * [simplify]: Extracting #1: cost 0 inf + 1 24.806 * [simplify]: Simplified to 1 24.806 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 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)) (sqrt (+ (/ 1/2 (hypot 1 x)) 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))))))) 24.806 * * * * [progress]: [ 118 / 233 ] simplifiying candidate # 24.807 * [simplify]: Simplifying (sqrt 1) 24.807 * * [simplify]: iters left: 1 (2 enodes) 24.810 * * [simplify]: Extracting #0: cost 1 inf + 0 24.810 * * [simplify]: Extracting #1: cost 0 inf + 1 24.810 * [simplify]: Simplified to 1 24.810 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 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)) (sqrt (+ (/ 1/2 (hypot 1 x)) 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))))))) 24.810 * * * * [progress]: [ 119 / 233 ] simplifiying candidate # 24.810 * [simplify]: Simplifying (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 24.810 * * [simplify]: iters left: 6 (8 enodes) 24.814 * * [simplify]: iters left: 5 (27 enodes) 24.819 * * [simplify]: iters left: 4 (29 enodes) 24.824 * * [simplify]: Extracting #0: cost 1 inf + 0 24.824 * * [simplify]: Extracting #1: cost 3 inf + 0 24.824 * * [simplify]: Extracting #2: cost 5 inf + 0 24.824 * * [simplify]: Extracting #3: cost 8 inf + 0 24.824 * * [simplify]: Extracting #4: cost 9 inf + 1 24.824 * * [simplify]: Extracting #5: cost 12 inf + 1 24.824 * * [simplify]: Extracting #6: cost 9 inf + 60 24.824 * * [simplify]: Extracting #7: cost 5 inf + 451 24.824 * * [simplify]: Extracting #8: cost 1 inf + 1163 24.825 * * [simplify]: Extracting #9: cost 0 inf + 1381 24.825 * [simplify]: Simplified to (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 24.825 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 24.825 * * * * [progress]: [ 120 / 233 ] simplifiying candidate # 24.825 * * * * [progress]: [ 121 / 233 ] simplifiying candidate # 24.825 * [simplify]: Simplifying (sqrt (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) 1/2)))) 24.825 * * [simplify]: iters left: 6 (11 enodes) 24.829 * * [simplify]: iters left: 5 (47 enodes) 24.838 * * [simplify]: iters left: 4 (85 enodes) 24.852 * * [simplify]: iters left: 3 (124 enodes) 24.869 * * [simplify]: iters left: 2 (167 enodes) 24.899 * * [simplify]: iters left: 1 (254 enodes) 24.945 * * [simplify]: Extracting #0: cost 1 inf + 0 24.945 * * [simplify]: Extracting #1: cost 3 inf + 0 24.945 * * [simplify]: Extracting #2: cost 18 inf + 0 24.946 * * [simplify]: Extracting #3: cost 57 inf + 2 24.946 * * [simplify]: Extracting #4: cost 76 inf + 4 24.946 * * [simplify]: Extracting #5: cost 74 inf + 6 24.947 * * [simplify]: Extracting #6: cost 44 inf + 4147 24.955 * * [simplify]: Extracting #7: cost 2 inf + 10984 24.961 * * [simplify]: Extracting #8: cost 0 inf + 11381 24.967 * [simplify]: Simplified to (sqrt (+ (- (/ -1/4 (hypot 1 x)) (/ (/ -1/4 (hypot 1 x)) (hypot 1 x))) 1/4)) 24.967 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 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 (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3)))) (sqrt (+ (- (/ -1/4 (hypot 1 x)) (/ (/ -1/4 (hypot 1 x)) (hypot 1 x))) 1/4))))) (* (+ 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))))))) 24.968 * * * * [progress]: [ 122 / 233 ] simplifiying candidate # 24.968 * [simplify]: Simplifying (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) 24.968 * * [simplify]: iters left: 6 (7 enodes) 24.973 * * [simplify]: iters left: 5 (26 enodes) 24.981 * * [simplify]: iters left: 4 (30 enodes) 24.989 * * [simplify]: Extracting #0: cost 1 inf + 0 24.989 * * [simplify]: Extracting #1: cost 3 inf + 0 24.989 * * [simplify]: Extracting #2: cost 7 inf + 0 24.989 * * [simplify]: Extracting #3: cost 7 inf + 2 24.989 * * [simplify]: Extracting #4: cost 10 inf + 2 24.990 * * [simplify]: Extracting #5: cost 6 inf + 118 24.990 * * [simplify]: Extracting #6: cost 4 inf + 354 24.990 * * [simplify]: Extracting #7: cost 1 inf + 768 24.990 * * [simplify]: Extracting #8: cost 0 inf + 946 24.991 * [simplify]: Simplified to (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) 24.991 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- (* (* 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 (hypot 1 x))) (* 1/2 1/2)))) (sqrt (- (/ 1/2 (hypot 1 x)) 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))))))) 24.991 * * * * [progress]: [ 123 / 233 ] simplifiying candidate # 24.992 * [simplify]: Simplifying (* (sqrt (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3))) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 24.992 * * [simplify]: iters left: 6 (13 enodes) 25.000 * * [simplify]: iters left: 5 (61 enodes) 25.015 * * [simplify]: iters left: 4 (103 enodes) 25.041 * * [simplify]: iters left: 3 (192 enodes) 25.120 * * [simplify]: iters left: 2 (318 enodes) 25.250 * * [simplify]: Extracting #0: cost 1 inf + 0 25.250 * * [simplify]: Extracting #1: cost 4 inf + 0 25.250 * * [simplify]: Extracting #2: cost 8 inf + 0 25.250 * * [simplify]: Extracting #3: cost 14 inf + 0 25.250 * * [simplify]: Extracting #4: cost 50 inf + 2 25.251 * * [simplify]: Extracting #5: cost 109 inf + 5 25.251 * * [simplify]: Extracting #6: cost 93 inf + 2679 25.254 * * [simplify]: Extracting #7: cost 27 inf + 21269 25.258 * * [simplify]: Extracting #8: cost 4 inf + 31835 25.262 * * [simplify]: Extracting #9: cost 0 inf + 34257 25.269 * [simplify]: Simplified to (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/8 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))))) 25.269 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/8 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 25.269 * * * * [progress]: [ 124 / 233 ] simplifiying candidate # 25.270 * [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))) 25.270 * * [simplify]: iters left: 6 (12 enodes) 25.278 * * [simplify]: iters left: 5 (50 enodes) 25.300 * * [simplify]: iters left: 4 (69 enodes) 25.317 * * [simplify]: iters left: 3 (95 enodes) 25.333 * * [simplify]: iters left: 2 (140 enodes) 25.358 * * [simplify]: iters left: 1 (177 enodes) 25.406 * * [simplify]: Extracting #0: cost 1 inf + 0 25.407 * * [simplify]: Extracting #1: cost 4 inf + 0 25.407 * * [simplify]: Extracting #2: cost 8 inf + 0 25.407 * * [simplify]: Extracting #3: cost 29 inf + 0 25.407 * * [simplify]: Extracting #4: cost 58 inf + 3 25.407 * * [simplify]: Extracting #5: cost 68 inf + 4 25.408 * * [simplify]: Extracting #6: cost 66 inf + 6 25.409 * * [simplify]: Extracting #7: cost 42 inf + 3515 25.416 * * [simplify]: Extracting #8: cost 3 inf + 10790 25.419 * * [simplify]: Extracting #9: cost 0 inf + 11166 25.421 * * [simplify]: Extracting #10: cost 0 inf + 11127 25.424 * [simplify]: Simplified to (* (sqrt (- (/ 1/4 (* (hypot 1 x) (hypot 1 x))) 1/4)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 25.424 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (/ (* (sqrt (- (/ 1/4 (* (hypot 1 x) (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 25.424 * * * * [progress]: [ 125 / 233 ] 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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))> 25.425 * * * * [progress]: [ 126 / 233 ] simplifiying candidate # 25.425 * * * * [progress]: [ 127 / 233 ] simplifiying candidate # 25.425 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 25.425 * * [simplify]: iters left: 5 (6 enodes) 25.427 * * [simplify]: iters left: 4 (21 enodes) 25.431 * * [simplify]: iters left: 3 (23 enodes) 25.435 * * [simplify]: Extracting #0: cost 1 inf + 0 25.435 * * [simplify]: Extracting #1: cost 4 inf + 0 25.435 * * [simplify]: Extracting #2: cost 5 inf + 1 25.435 * * [simplify]: Extracting #3: cost 8 inf + 1 25.435 * * [simplify]: Extracting #4: cost 6 inf + 3 25.435 * * [simplify]: Extracting #5: cost 0 inf + 589 25.435 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 25.435 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (pow (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 25.436 * [simplify]: Simplifying (+ 1/2 1/2) 25.436 * * [simplify]: iters left: 2 (2 enodes) 25.437 * * [simplify]: iters left: 1 (7 enodes) 25.438 * * [simplify]: Extracting #0: cost 1 inf + 0 25.438 * * [simplify]: Extracting #1: cost 0 inf + 1 25.438 * [simplify]: Simplified to 1 25.438 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ 1 (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))))))) 25.439 * * * * [progress]: [ 128 / 233 ] simplifiying candidate # 25.439 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 25.439 * * [simplify]: iters left: 5 (6 enodes) 25.441 * * [simplify]: iters left: 4 (21 enodes) 25.444 * * [simplify]: iters left: 3 (23 enodes) 25.448 * * [simplify]: Extracting #0: cost 1 inf + 0 25.448 * * [simplify]: Extracting #1: cost 4 inf + 0 25.448 * * [simplify]: Extracting #2: cost 5 inf + 1 25.448 * * [simplify]: Extracting #3: cost 8 inf + 1 25.448 * * [simplify]: Extracting #4: cost 6 inf + 3 25.448 * * [simplify]: Extracting #5: cost 0 inf + 589 25.448 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 25.448 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (pow (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 25.449 * [simplify]: Simplifying (+ 1/2 (/ 1 2)) 25.449 * * [simplify]: iters left: 4 (5 enodes) 25.454 * * [simplify]: iters left: 3 (18 enodes) 25.461 * * [simplify]: iters left: 2 (20 enodes) 25.466 * * [simplify]: Extracting #0: cost 1 inf + 0 25.466 * * [simplify]: Extracting #1: cost 0 inf + 1 25.466 * [simplify]: Simplified to 1 25.467 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ 1 (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))))))) 25.467 * * * * [progress]: [ 129 / 233 ] simplifiying candidate # 25.467 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 25.467 * * [simplify]: iters left: 6 (7 enodes) 25.471 * * [simplify]: iters left: 5 (24 enodes) 25.478 * * [simplify]: iters left: 4 (26 enodes) 25.482 * * [simplify]: Extracting #0: cost 1 inf + 0 25.482 * * [simplify]: Extracting #1: cost 3 inf + 0 25.482 * * [simplify]: Extracting #2: cost 6 inf + 0 25.482 * * [simplify]: Extracting #3: cost 7 inf + 1 25.482 * * [simplify]: Extracting #4: cost 10 inf + 1 25.482 * * [simplify]: Extracting #5: cost 6 inf + 117 25.482 * * [simplify]: Extracting #6: cost 2 inf + 629 25.482 * * [simplify]: Extracting #7: cost 0 inf + 945 25.483 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 25.483 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (pow (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))))) (* (+ 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))))))) 25.483 * [simplify]: Simplifying (+ 1 1) 25.483 * * [simplify]: iters left: 2 (2 enodes) 25.484 * * [simplify]: iters left: 1 (9 enodes) 25.486 * * [simplify]: Extracting #0: cost 1 inf + 0 25.486 * * [simplify]: Extracting #1: cost 0 inf + 1 25.486 * [simplify]: Simplified to 2 25.486 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 25.486 * * * * [progress]: [ 130 / 233 ] simplifiying candidate # 25.486 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 25.486 * * [simplify]: iters left: 5 (6 enodes) 25.488 * * [simplify]: iters left: 4 (21 enodes) 25.492 * * [simplify]: iters left: 3 (23 enodes) 25.495 * * [simplify]: Extracting #0: cost 1 inf + 0 25.495 * * [simplify]: Extracting #1: cost 4 inf + 0 25.495 * * [simplify]: Extracting #2: cost 5 inf + 1 25.495 * * [simplify]: Extracting #3: cost 8 inf + 1 25.495 * * [simplify]: Extracting #4: cost 6 inf + 3 25.495 * * [simplify]: Extracting #5: cost 0 inf + 589 25.496 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 25.496 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (pow (+ 1/2 (/ 1/2 (hypot 1 x))) (+ (/ 1 2) 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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 25.496 * [simplify]: Simplifying (+ (/ 1 2) 1/2) 25.496 * * [simplify]: iters left: 4 (5 enodes) 25.500 * * [simplify]: iters left: 3 (18 enodes) 25.503 * * [simplify]: iters left: 2 (20 enodes) 25.506 * * [simplify]: Extracting #0: cost 1 inf + 0 25.507 * * [simplify]: Extracting #1: cost 0 inf + 1 25.507 * [simplify]: Simplified to 1 25.507 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ 1 (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))))))) 25.507 * * * * [progress]: [ 131 / 233 ] simplifiying candidate # 25.507 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 25.507 * * [simplify]: iters left: 5 (6 enodes) 25.510 * * [simplify]: iters left: 4 (21 enodes) 25.517 * * [simplify]: iters left: 3 (23 enodes) 25.529 * * [simplify]: Extracting #0: cost 1 inf + 0 25.529 * * [simplify]: Extracting #1: cost 4 inf + 0 25.529 * * [simplify]: Extracting #2: cost 5 inf + 1 25.529 * * [simplify]: Extracting #3: cost 8 inf + 1 25.529 * * [simplify]: Extracting #4: cost 6 inf + 3 25.529 * * [simplify]: Extracting #5: cost 0 inf + 589 25.529 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 25.529 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (pow (+ 1/2 (/ 1/2 (hypot 1 x))) (+ (/ 1 2) (/ 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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 25.530 * [simplify]: Simplifying (+ (/ 1 2) (/ 1 2)) 25.530 * * [simplify]: iters left: 4 (4 enodes) 25.534 * * [simplify]: iters left: 3 (15 enodes) 25.537 * * [simplify]: iters left: 2 (17 enodes) 25.540 * * [simplify]: Extracting #0: cost 1 inf + 0 25.540 * * [simplify]: Extracting #1: cost 0 inf + 1 25.540 * [simplify]: Simplified to 1 25.540 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ 1 (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))))))) 25.540 * * * * [progress]: [ 132 / 233 ] simplifiying candidate # 25.541 * [simplify]: Simplifying (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) 25.541 * * [simplify]: iters left: 6 (7 enodes) 25.543 * * [simplify]: iters left: 5 (30 enodes) 25.549 * * [simplify]: iters left: 4 (57 enodes) 25.558 * * [simplify]: iters left: 3 (84 enodes) 25.572 * * [simplify]: iters left: 2 (117 enodes) 25.608 * * [simplify]: iters left: 1 (161 enodes) 25.662 * * [simplify]: Extracting #0: cost 1 inf + 0 25.662 * * [simplify]: Extracting #1: cost 26 inf + 0 25.663 * * [simplify]: Extracting #2: cost 81 inf + 2 25.663 * * [simplify]: Extracting #3: cost 99 inf + 3 25.664 * * [simplify]: Extracting #4: cost 97 inf + 61 25.666 * * [simplify]: Extracting #5: cost 42 inf + 7889 25.673 * * [simplify]: Extracting #6: cost 6 inf + 14381 25.679 * * [simplify]: Extracting #7: cost 0 inf + 15650 25.686 * [simplify]: Simplified to (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 25.686 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (pow (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 1/2) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ 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))))))) 25.686 * * * * [progress]: [ 133 / 233 ] simplifiying candidate # 25.686 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 25.687 * * [simplify]: iters left: 6 (8 enodes) 25.691 * * [simplify]: iters left: 5 (25 enodes) 25.700 * * [simplify]: iters left: 4 (28 enodes) 25.709 * * [simplify]: Extracting #0: cost 1 inf + 0 25.709 * * [simplify]: Extracting #1: cost 5 inf + 0 25.709 * * [simplify]: Extracting #2: cost 7 inf + 1 25.709 * * [simplify]: Extracting #3: cost 10 inf + 1 25.709 * * [simplify]: Extracting #4: cost 8 inf + 3 25.710 * * [simplify]: Extracting #5: cost 3 inf + 491 25.710 * * [simplify]: Extracting #6: cost 1 inf + 767 25.710 * * [simplify]: Extracting #7: cost 0 inf + 945 25.711 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 25.711 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (pow (+ 1/2 (/ 1/2 (hypot 1 x))) 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 25.711 * * * * [progress]: [ 134 / 233 ] simplifiying candidate # 25.711 * [simplify]: Simplifying (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) 25.711 * * [simplify]: iters left: 6 (7 enodes) 25.716 * * [simplify]: iters left: 5 (30 enodes) 25.727 * * [simplify]: iters left: 4 (57 enodes) 25.744 * * [simplify]: iters left: 3 (84 enodes) 25.767 * * [simplify]: iters left: 2 (117 enodes) 25.804 * * [simplify]: iters left: 1 (161 enodes) 25.830 * * [simplify]: Extracting #0: cost 1 inf + 0 25.831 * * [simplify]: Extracting #1: cost 26 inf + 0 25.831 * * [simplify]: Extracting #2: cost 81 inf + 2 25.832 * * [simplify]: Extracting #3: cost 99 inf + 3 25.832 * * [simplify]: Extracting #4: cost 97 inf + 61 25.834 * * [simplify]: Extracting #5: cost 42 inf + 7889 25.840 * * [simplify]: Extracting #6: cost 6 inf + 14381 25.847 * * [simplify]: Extracting #7: cost 0 inf + 15650 25.853 * [simplify]: Simplified to (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 25.853 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (pow (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (/ 1 2)) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ 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))))))) 25.854 * [simplify]: Simplifying (/ 1 2) 25.854 * * [simplify]: iters left: 2 (3 enodes) 25.857 * * [simplify]: iters left: 1 (12 enodes) 25.862 * * [simplify]: Extracting #0: cost 1 inf + 0 25.862 * * [simplify]: Extracting #1: cost 0 inf + 1 25.862 * [simplify]: Simplified to 1/2 25.862 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (pow (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) 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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 25.862 * * * * [progress]: [ 135 / 233 ] simplifiying candidate # 25.862 * * * * [progress]: [ 136 / 233 ] simplifiying candidate # 25.862 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 25.862 * * [simplify]: iters left: 6 (7 enodes) 25.866 * * [simplify]: iters left: 5 (24 enodes) 25.874 * * [simplify]: iters left: 4 (26 enodes) 25.881 * * [simplify]: Extracting #0: cost 1 inf + 0 25.881 * * [simplify]: Extracting #1: cost 3 inf + 0 25.881 * * [simplify]: Extracting #2: cost 6 inf + 0 25.882 * * [simplify]: Extracting #3: cost 7 inf + 1 25.882 * * [simplify]: Extracting #4: cost 10 inf + 1 25.882 * * [simplify]: Extracting #5: cost 6 inf + 117 25.882 * * [simplify]: Extracting #6: cost 2 inf + 629 25.882 * * [simplify]: Extracting #7: cost 0 inf + 945 25.883 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 25.883 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (pow (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))))) (* (+ 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))))))) 25.883 * * * * [progress]: [ 137 / 233 ] simplifiying candidate # 25.883 * * * * [progress]: [ 138 / 233 ] simplifiying candidate # 25.883 * [simplify]: Simplifying (+ (log (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (log (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 25.883 * * [simplify]: iters left: 6 (9 enodes) 25.886 * * [simplify]: iters left: 5 (30 enodes) 25.891 * * [simplify]: iters left: 4 (32 enodes) 25.896 * * [simplify]: Extracting #0: cost 1 inf + 0 25.896 * * [simplify]: Extracting #1: cost 3 inf + 0 25.896 * * [simplify]: Extracting #2: cost 5 inf + 0 25.896 * * [simplify]: Extracting #3: cost 7 inf + 0 25.896 * * [simplify]: Extracting #4: cost 10 inf + 0 25.896 * * [simplify]: Extracting #5: cost 11 inf + 1 25.896 * * [simplify]: Extracting #6: cost 14 inf + 1 25.897 * * [simplify]: Extracting #7: cost 10 inf + 117 25.897 * * [simplify]: Extracting #8: cost 8 inf + 353 25.897 * * [simplify]: Extracting #9: cost 4 inf + 1015 25.897 * * [simplify]: Extracting #10: cost 0 inf + 2017 25.897 * [simplify]: Simplified to (+ (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 25.897 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (exp (+ (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 25.898 * * * * [progress]: [ 139 / 233 ] simplifiying candidate # 25.898 * * * * [progress]: [ 140 / 233 ] simplifiying candidate # 25.898 * * * * [progress]: [ 141 / 233 ] simplifiying candidate # 25.898 * [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)))) 25.898 * * [simplify]: iters left: 6 (10 enodes) 25.901 * * [simplify]: iters left: 5 (38 enodes) 25.912 * * [simplify]: iters left: 4 (85 enodes) 25.956 * * [simplify]: iters left: 3 (312 enodes) 26.051 * * [simplify]: Extracting #0: cost 1 inf + 0 26.051 * * [simplify]: Extracting #1: cost 25 inf + 0 26.052 * * [simplify]: Extracting #2: cost 117 inf + 2 26.053 * * [simplify]: Extracting #3: cost 157 inf + 6 26.054 * * [simplify]: Extracting #4: cost 144 inf + 1480 26.065 * * [simplify]: Extracting #5: cost 92 inf + 12691 26.080 * * [simplify]: Extracting #6: cost 23 inf + 32693 26.097 * * [simplify]: Extracting #7: cost 0 inf + 39973 26.107 * [simplify]: Simplified to (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 26.107 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (cbrt (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 26.107 * * * * [progress]: [ 142 / 233 ] simplifiying candidate # 26.107 * * * * [progress]: [ 143 / 233 ] simplifiying candidate # 26.107 * * * * [progress]: [ 144 / 233 ] simplifiying candidate # 26.108 * [simplify]: Simplifying (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) 26.108 * * [simplify]: iters left: 6 (7 enodes) 26.111 * * [simplify]: iters left: 5 (30 enodes) 26.118 * * [simplify]: iters left: 4 (57 enodes) 26.127 * * [simplify]: iters left: 3 (84 enodes) 26.145 * * [simplify]: iters left: 2 (117 enodes) 26.164 * * [simplify]: iters left: 1 (161 enodes) 26.196 * * [simplify]: Extracting #0: cost 1 inf + 0 26.196 * * [simplify]: Extracting #1: cost 26 inf + 0 26.196 * * [simplify]: Extracting #2: cost 81 inf + 2 26.196 * * [simplify]: Extracting #3: cost 99 inf + 3 26.197 * * [simplify]: Extracting #4: cost 97 inf + 61 26.198 * * [simplify]: Extracting #5: cost 42 inf + 7889 26.201 * * [simplify]: Extracting #6: cost 6 inf + 14381 26.204 * * [simplify]: Extracting #7: cost 0 inf + 15650 26.207 * [simplify]: Simplified to (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 26.207 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (sqrt (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 26.208 * * * * [progress]: [ 145 / 233 ] simplifiying candidate # 26.208 * * * * [progress]: [ 146 / 233 ] simplifiying candidate # 26.208 * [simplify]: Simplifying (/ 1/2 (hypot 1 x)) 26.208 * * [simplify]: iters left: 3 (5 enodes) 26.210 * * [simplify]: iters left: 2 (17 enodes) 26.213 * * [simplify]: iters left: 1 (19 enodes) 26.216 * * [simplify]: Extracting #0: cost 1 inf + 0 26.216 * * [simplify]: Extracting #1: cost 4 inf + 0 26.216 * * [simplify]: Extracting #2: cost 6 inf + 1 26.216 * * [simplify]: Extracting #3: cost 0 inf + 313 26.217 * [simplify]: Simplified to (/ 1/2 (hypot 1 x)) 26.217 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (+ (/ 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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 26.217 * * * * [progress]: [ 147 / 233 ] simplifiying candidate # 26.217 * [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)))) 26.217 * * [simplify]: iters left: 6 (11 enodes) 26.226 * * [simplify]: iters left: 5 (51 enodes) 26.246 * * [simplify]: iters left: 4 (94 enodes) 26.293 * * [simplify]: iters left: 3 (184 enodes) 26.344 * * [simplify]: iters left: 2 (310 enodes) 26.477 * * [simplify]: Extracting #0: cost 1 inf + 0 26.477 * * [simplify]: Extracting #1: cost 5 inf + 0 26.477 * * [simplify]: Extracting #2: cost 45 inf + 1 26.477 * * [simplify]: Extracting #3: cost 101 inf + 5 26.478 * * [simplify]: Extracting #4: cost 88 inf + 2085 26.480 * * [simplify]: Extracting #5: cost 19 inf + 23244 26.484 * * [simplify]: Extracting #6: cost 0 inf + 32311 26.488 * * [simplify]: Extracting #7: cost 0 inf + 32180 26.492 * [simplify]: Simplified to (+ 1/8 (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)))) 26.492 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (/ (+ 1/8 (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (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)))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 26.493 * [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))))) 26.493 * * [simplify]: iters left: 6 (12 enodes) 26.498 * * [simplify]: iters left: 5 (48 enodes) 26.507 * * [simplify]: iters left: 4 (87 enodes) 26.521 * * [simplify]: iters left: 3 (126 enodes) 26.546 * * [simplify]: iters left: 2 (169 enodes) 26.580 * * [simplify]: iters left: 1 (256 enodes) 26.639 * * [simplify]: Extracting #0: cost 1 inf + 0 26.640 * * [simplify]: Extracting #1: cost 18 inf + 0 26.640 * * [simplify]: Extracting #2: cost 58 inf + 2 26.641 * * [simplify]: Extracting #3: cost 77 inf + 4 26.642 * * [simplify]: Extracting #4: cost 75 inf + 6 26.647 * * [simplify]: Extracting #5: cost 49 inf + 3272 26.653 * * [simplify]: Extracting #6: cost 10 inf + 9818 26.660 * * [simplify]: Extracting #7: cost 1 inf + 11658 26.666 * * [simplify]: Extracting #8: cost 0 inf + 11916 26.673 * * [simplify]: Extracting #9: cost 0 inf + 11915 26.680 * [simplify]: Simplified to (- 1/4 (/ (- 1/4 (/ 1/4 (hypot 1 x))) (hypot 1 x))) 26.680 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (/ (+ 1/8 (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)))) (- 1/4 (/ (- 1/4 (/ 1/4 (hypot 1 x))) (hypot 1 x)))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 26.680 * * * * [progress]: [ 148 / 233 ] simplifiying candidate # 26.680 * [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)))) 26.680 * * [simplify]: iters left: 6 (15 enodes) 26.687 * * [simplify]: iters left: 5 (74 enodes) 26.703 * * [simplify]: iters left: 4 (136 enodes) 26.739 * * [simplify]: iters left: 3 (244 enodes) 26.837 * * [simplify]: iters left: 2 (436 enodes) 26.994 * * [simplify]: Extracting #0: cost 1 inf + 0 26.994 * * [simplify]: Extracting #1: cost 4 inf + 0 26.994 * * [simplify]: Extracting #2: cost 8 inf + 0 26.994 * * [simplify]: Extracting #3: cost 29 inf + 0 26.994 * * [simplify]: Extracting #4: cost 75 inf + 3 26.994 * * [simplify]: Extracting #5: cost 126 inf + 7 26.995 * * [simplify]: Extracting #6: cost 110 inf + 2632 27.002 * * [simplify]: Extracting #7: cost 28 inf + 24570 27.012 * * [simplify]: Extracting #8: cost 0 inf + 36358 27.022 * * [simplify]: Extracting #9: cost 0 inf + 36279 27.032 * [simplify]: Simplified to (* (sqrt (+ 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (sqrt (+ -1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) 27.032 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (/ (* (sqrt (+ 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (sqrt (+ -1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (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)))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 27.033 * [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))) 27.033 * * [simplify]: iters left: 6 (14 enodes) 27.041 * * [simplify]: iters left: 5 (60 enodes) 27.058 * * [simplify]: iters left: 4 (98 enodes) 27.074 * * [simplify]: iters left: 3 (140 enodes) 27.105 * * [simplify]: iters left: 2 (184 enodes) 27.133 * * [simplify]: iters left: 1 (265 enodes) 27.208 * * [simplify]: Extracting #0: cost 1 inf + 0 27.208 * * [simplify]: Extracting #1: cost 4 inf + 0 27.208 * * [simplify]: Extracting #2: cost 8 inf + 0 27.208 * * [simplify]: Extracting #3: cost 27 inf + 0 27.208 * * [simplify]: Extracting #4: cost 61 inf + 3 27.209 * * [simplify]: Extracting #5: cost 80 inf + 4 27.209 * * [simplify]: Extracting #6: cost 78 inf + 6 27.210 * * [simplify]: Extracting #7: cost 51 inf + 3209 27.213 * * [simplify]: Extracting #8: cost 11 inf + 10695 27.220 * * [simplify]: Extracting #9: cost 0 inf + 12573 27.227 * [simplify]: Simplified to (* (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ 1/4 (* (/ 1/2 (hypot 1 x)) (- (/ 1/2 (hypot 1 x)) 1/2))))) 27.227 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (/ (* (sqrt (+ 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (sqrt (+ -1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (* (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ 1/4 (* (/ 1/2 (hypot 1 x)) (- (/ 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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 27.228 * * * * [progress]: [ 149 / 233 ] simplifiying candidate # 27.228 * [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)))) 27.228 * * [simplify]: iters left: 6 (15 enodes) 27.240 * * [simplify]: iters left: 5 (73 enodes) 27.258 * * [simplify]: iters left: 4 (138 enodes) 27.307 * * [simplify]: iters left: 3 (246 enodes) 27.416 * * [simplify]: iters left: 2 (437 enodes) 27.586 * * [simplify]: Extracting #0: cost 1 inf + 0 27.586 * * [simplify]: Extracting #1: cost 4 inf + 0 27.586 * * [simplify]: Extracting #2: cost 8 inf + 0 27.587 * * [simplify]: Extracting #3: cost 27 inf + 0 27.587 * * [simplify]: Extracting #4: cost 73 inf + 3 27.587 * * [simplify]: Extracting #5: cost 124 inf + 7 27.588 * * [simplify]: Extracting #6: cost 108 inf + 2068 27.591 * * [simplify]: Extracting #7: cost 29 inf + 21658 27.596 * * [simplify]: Extracting #8: cost 1 inf + 34623 27.600 * * [simplify]: Extracting #9: cost 0 inf + 35645 27.606 * [simplify]: Simplified to (* (sqrt (+ 1/8 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (sqrt (+ -1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) 27.606 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (/ (* (sqrt (+ 1/8 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (sqrt (+ -1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (* (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)))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 27.606 * [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))))) 27.606 * * [simplify]: iters left: 6 (14 enodes) 27.614 * * [simplify]: iters left: 5 (60 enodes) 27.633 * * [simplify]: iters left: 4 (98 enodes) 27.669 * * [simplify]: iters left: 3 (141 enodes) 27.708 * * [simplify]: iters left: 2 (184 enodes) 27.744 * * [simplify]: iters left: 1 (265 enodes) 27.807 * * [simplify]: Extracting #0: cost 1 inf + 0 27.807 * * [simplify]: Extracting #1: cost 4 inf + 0 27.807 * * [simplify]: Extracting #2: cost 8 inf + 0 27.807 * * [simplify]: Extracting #3: cost 27 inf + 0 27.808 * * [simplify]: Extracting #4: cost 61 inf + 3 27.808 * * [simplify]: Extracting #5: cost 80 inf + 4 27.808 * * [simplify]: Extracting #6: cost 78 inf + 6 27.809 * * [simplify]: Extracting #7: cost 57 inf + 2702 27.812 * * [simplify]: Extracting #8: cost 7 inf + 11288 27.819 * * [simplify]: Extracting #9: cost 0 inf + 12574 27.825 * * [simplify]: Extracting #10: cost 0 inf + 12573 27.830 * [simplify]: Simplified to (* (sqrt (+ 1/4 (* (/ 1/2 (hypot 1 x)) (- (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2))) 27.830 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (/ (* (sqrt (+ 1/8 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (sqrt (+ -1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (* (sqrt (+ 1/4 (* (/ 1/2 (hypot 1 x)) (- (/ 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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 27.830 * * * * [progress]: [ 150 / 233 ] simplifiying candidate # 27.830 * [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)))) 27.831 * * [simplify]: iters left: 6 (10 enodes) 27.835 * * [simplify]: iters left: 5 (40 enodes) 27.842 * * [simplify]: iters left: 4 (63 enodes) 27.851 * * [simplify]: iters left: 3 (81 enodes) 27.868 * * [simplify]: iters left: 2 (122 enodes) 27.901 * * [simplify]: iters left: 1 (162 enodes) 27.924 * * [simplify]: Extracting #0: cost 1 inf + 0 27.924 * * [simplify]: Extracting #1: cost 20 inf + 0 27.925 * * [simplify]: Extracting #2: cost 45 inf + 2 27.925 * * [simplify]: Extracting #3: cost 54 inf + 4 27.925 * * [simplify]: Extracting #4: cost 52 inf + 6 27.926 * * [simplify]: Extracting #5: cost 34 inf + 2167 27.927 * * [simplify]: Extracting #6: cost 7 inf + 6700 27.929 * * [simplify]: Extracting #7: cost 0 inf + 8110 27.931 * [simplify]: Simplified to (- (/ 1/4 (* (hypot 1 x) (hypot 1 x))) 1/4) 27.931 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (/ (- (/ 1/4 (* (hypot 1 x) (hypot 1 x))) 1/4) (* (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 27.932 * [simplify]: Simplifying (* (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2))) 27.932 * * [simplify]: iters left: 6 (8 enodes) 27.937 * * [simplify]: iters left: 5 (27 enodes) 27.945 * * [simplify]: iters left: 4 (32 enodes) 27.950 * * [simplify]: Extracting #0: cost 1 inf + 0 27.950 * * [simplify]: Extracting #1: cost 6 inf + 0 27.950 * * [simplify]: Extracting #2: cost 7 inf + 2 27.950 * * [simplify]: Extracting #3: cost 10 inf + 2 27.950 * * [simplify]: Extracting #4: cost 8 inf + 4 27.950 * * [simplify]: Extracting #5: cost 3 inf + 532 27.951 * * [simplify]: Extracting #6: cost 0 inf + 946 27.951 * [simplify]: Simplified to (- (/ 1/2 (hypot 1 x)) 1/2) 27.951 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (/ (- (/ 1/4 (* (hypot 1 x) (hypot 1 x))) 1/4) (- (/ 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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 27.951 * * * * [progress]: [ 151 / 233 ] simplifiying candidate # 27.951 * * * * [progress]: [ 152 / 233 ] simplifiying candidate # 27.951 * [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))))) 27.951 * * [simplify]: iters left: 6 (10 enodes) 27.957 * * [simplify]: iters left: 5 (37 enodes) 27.963 * * [simplify]: iters left: 4 (43 enodes) 27.971 * * [simplify]: iters left: 3 (53 enodes) 27.985 * * [simplify]: iters left: 2 (73 enodes) 28.013 * * [simplify]: iters left: 1 (119 enodes) 28.044 * * [simplify]: Extracting #0: cost 1 inf + 0 28.044 * * [simplify]: Extracting #1: cost 13 inf + 0 28.044 * * [simplify]: Extracting #2: cost 40 inf + 1 28.045 * * [simplify]: Extracting #3: cost 41 inf + 7 28.045 * * [simplify]: Extracting #4: cost 41 inf + 10 28.045 * * [simplify]: Extracting #5: cost 42 inf + 11 28.045 * * [simplify]: Extracting #6: cost 29 inf + 2397 28.047 * * [simplify]: Extracting #7: cost 10 inf + 12311 28.049 * * [simplify]: Extracting #8: cost 0 inf + 18798 28.052 * [simplify]: Simplified to (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 28.052 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 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))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.052 * [simplify]: Simplifying (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 28.052 * * [simplify]: iters left: 6 (9 enodes) 28.055 * * [simplify]: iters left: 5 (30 enodes) 28.064 * * [simplify]: iters left: 4 (32 enodes) 28.071 * * [simplify]: Extracting #0: cost 1 inf + 0 28.071 * * [simplify]: Extracting #1: cost 3 inf + 0 28.071 * * [simplify]: Extracting #2: cost 5 inf + 0 28.071 * * [simplify]: Extracting #3: cost 7 inf + 0 28.071 * * [simplify]: Extracting #4: cost 10 inf + 0 28.071 * * [simplify]: Extracting #5: cost 11 inf + 1 28.071 * * [simplify]: Extracting #6: cost 14 inf + 1 28.071 * * [simplify]: Extracting #7: cost 10 inf + 117 28.071 * * [simplify]: Extracting #8: cost 8 inf + 353 28.072 * * [simplify]: Extracting #9: cost 4 inf + 1025 28.072 * * [simplify]: Extracting #10: cost 0 inf + 2057 28.072 * [simplify]: Simplified to (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 28.072 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 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))))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.072 * * * * [progress]: [ 153 / 233 ] simplifiying candidate # 28.073 * [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))))) 28.073 * * [simplify]: iters left: 6 (10 enodes) 28.075 * * [simplify]: iters left: 5 (32 enodes) 28.081 * * [simplify]: iters left: 4 (35 enodes) 28.086 * * [simplify]: Extracting #0: cost 1 inf + 0 28.086 * * [simplify]: Extracting #1: cost 4 inf + 0 28.086 * * [simplify]: Extracting #2: cost 7 inf + 0 28.086 * * [simplify]: Extracting #3: cost 10 inf + 0 28.086 * * [simplify]: Extracting #4: cost 11 inf + 1 28.086 * * [simplify]: Extracting #5: cost 14 inf + 1 28.086 * * [simplify]: Extracting #6: cost 11 inf + 60 28.086 * * [simplify]: Extracting #7: cost 8 inf + 353 28.086 * * [simplify]: Extracting #8: cost 1 inf + 1799 28.087 * * [simplify]: Extracting #9: cost 0 inf + 2057 28.087 * [simplify]: Simplified to (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 28.087 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 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))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.087 * [simplify]: Simplifying (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 28.087 * * [simplify]: iters left: 6 (9 enodes) 28.090 * * [simplify]: iters left: 5 (28 enodes) 28.095 * * [simplify]: iters left: 4 (31 enodes) 28.103 * * [simplify]: Extracting #0: cost 1 inf + 0 28.103 * * [simplify]: Extracting #1: cost 4 inf + 0 28.103 * * [simplify]: Extracting #2: cost 8 inf + 0 28.103 * * [simplify]: Extracting #3: cost 9 inf + 1 28.103 * * [simplify]: Extracting #4: cost 12 inf + 1 28.103 * * [simplify]: Extracting #5: cost 8 inf + 117 28.103 * * [simplify]: Extracting #6: cost 6 inf + 353 28.104 * * [simplify]: Extracting #7: cost 2 inf + 1065 28.104 * * [simplify]: Extracting #8: cost 0 inf + 1541 28.105 * [simplify]: Simplified to (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 28.105 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 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))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.105 * * * * [progress]: [ 154 / 233 ] simplifiying candidate # 28.105 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 28.106 * * [simplify]: iters left: 6 (9 enodes) 28.110 * * [simplify]: iters left: 5 (28 enodes) 28.119 * * [simplify]: iters left: 4 (31 enodes) 28.124 * * [simplify]: Extracting #0: cost 1 inf + 0 28.124 * * [simplify]: Extracting #1: cost 4 inf + 0 28.124 * * [simplify]: Extracting #2: cost 8 inf + 0 28.124 * * [simplify]: Extracting #3: cost 9 inf + 1 28.124 * * [simplify]: Extracting #4: cost 12 inf + 1 28.124 * * [simplify]: Extracting #5: cost 8 inf + 117 28.124 * * [simplify]: Extracting #6: cost 6 inf + 353 28.124 * * [simplify]: Extracting #7: cost 2 inf + 985 28.125 * * [simplify]: Extracting #8: cost 0 inf + 1381 28.125 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 28.125 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 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))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.125 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 28.125 * * [simplify]: iters left: 6 (9 enodes) 28.128 * * [simplify]: iters left: 5 (28 enodes) 28.132 * * [simplify]: iters left: 4 (31 enodes) 28.137 * * [simplify]: Extracting #0: cost 1 inf + 0 28.137 * * [simplify]: Extracting #1: cost 4 inf + 0 28.137 * * [simplify]: Extracting #2: cost 8 inf + 0 28.137 * * [simplify]: Extracting #3: cost 9 inf + 1 28.137 * * [simplify]: Extracting #4: cost 12 inf + 1 28.137 * * [simplify]: Extracting #5: cost 8 inf + 117 28.137 * * [simplify]: Extracting #6: cost 6 inf + 353 28.138 * * [simplify]: Extracting #7: cost 2 inf + 985 28.138 * * [simplify]: Extracting #8: cost 0 inf + 1381 28.138 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 28.138 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 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))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.138 * * * * [progress]: [ 155 / 233 ] simplifiying candidate # 28.139 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 28.139 * * [simplify]: iters left: 6 (9 enodes) 28.141 * * [simplify]: iters left: 5 (28 enodes) 28.146 * * [simplify]: iters left: 4 (31 enodes) 28.151 * * [simplify]: Extracting #0: cost 1 inf + 0 28.151 * * [simplify]: Extracting #1: cost 4 inf + 0 28.151 * * [simplify]: Extracting #2: cost 8 inf + 0 28.151 * * [simplify]: Extracting #3: cost 9 inf + 1 28.151 * * [simplify]: Extracting #4: cost 12 inf + 1 28.151 * * [simplify]: Extracting #5: cost 8 inf + 117 28.151 * * [simplify]: Extracting #6: cost 6 inf + 353 28.151 * * [simplify]: Extracting #7: cost 2 inf + 985 28.151 * * [simplify]: Extracting #8: cost 0 inf + 1381 28.152 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 28.152 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 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))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.152 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 28.152 * * [simplify]: iters left: 6 (9 enodes) 28.154 * * [simplify]: iters left: 5 (28 enodes) 28.159 * * [simplify]: iters left: 4 (31 enodes) 28.167 * * [simplify]: Extracting #0: cost 1 inf + 0 28.167 * * [simplify]: Extracting #1: cost 4 inf + 0 28.167 * * [simplify]: Extracting #2: cost 8 inf + 0 28.167 * * [simplify]: Extracting #3: cost 9 inf + 1 28.167 * * [simplify]: Extracting #4: cost 12 inf + 1 28.167 * * [simplify]: Extracting #5: cost 8 inf + 117 28.167 * * [simplify]: Extracting #6: cost 6 inf + 353 28.167 * * [simplify]: Extracting #7: cost 2 inf + 985 28.168 * * [simplify]: Extracting #8: cost 0 inf + 1381 28.168 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 28.168 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 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))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.168 * * * * [progress]: [ 156 / 233 ] simplifiying candidate # 28.169 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 28.169 * * [simplify]: iters left: 3 (3 enodes) 28.172 * * [simplify]: iters left: 2 (9 enodes) 28.175 * * [simplify]: iters left: 1 (11 enodes) 28.178 * * [simplify]: Extracting #0: cost 1 inf + 0 28.178 * * [simplify]: Extracting #1: cost 0 inf + 1 28.178 * [simplify]: Simplified to 1 28.178 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 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 (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))))))) 28.178 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 28.178 * * [simplify]: iters left: 6 (8 enodes) 28.181 * * [simplify]: iters left: 5 (25 enodes) 28.185 * * [simplify]: iters left: 4 (28 enodes) 28.189 * * [simplify]: Extracting #0: cost 1 inf + 0 28.189 * * [simplify]: Extracting #1: cost 5 inf + 0 28.189 * * [simplify]: Extracting #2: cost 7 inf + 1 28.190 * * [simplify]: Extracting #3: cost 10 inf + 1 28.190 * * [simplify]: Extracting #4: cost 8 inf + 3 28.190 * * [simplify]: Extracting #5: cost 3 inf + 491 28.190 * * [simplify]: Extracting #6: cost 1 inf + 767 28.190 * * [simplify]: Extracting #7: cost 0 inf + 945 28.190 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 28.190 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.190 * * * * [progress]: [ 157 / 233 ] simplifiying candidate # 28.191 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 28.191 * * [simplify]: iters left: 3 (3 enodes) 28.193 * * [simplify]: iters left: 2 (9 enodes) 28.194 * * [simplify]: iters left: 1 (11 enodes) 28.196 * * [simplify]: Extracting #0: cost 1 inf + 0 28.196 * * [simplify]: Extracting #1: cost 0 inf + 1 28.196 * [simplify]: Simplified to 1 28.196 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 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 (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))))))) 28.196 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 28.196 * * [simplify]: iters left: 6 (8 enodes) 28.199 * * [simplify]: iters left: 5 (25 enodes) 28.203 * * [simplify]: iters left: 4 (28 enodes) 28.207 * * [simplify]: Extracting #0: cost 1 inf + 0 28.208 * * [simplify]: Extracting #1: cost 5 inf + 0 28.208 * * [simplify]: Extracting #2: cost 7 inf + 1 28.208 * * [simplify]: Extracting #3: cost 10 inf + 1 28.208 * * [simplify]: Extracting #4: cost 8 inf + 3 28.208 * * [simplify]: Extracting #5: cost 3 inf + 491 28.208 * * [simplify]: Extracting #6: cost 1 inf + 767 28.208 * * [simplify]: Extracting #7: cost 0 inf + 945 28.208 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 28.208 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.209 * * * * [progress]: [ 158 / 233 ] simplifiying candidate # 28.209 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 28.209 * * [simplify]: iters left: 3 (3 enodes) 28.211 * * [simplify]: iters left: 2 (9 enodes) 28.213 * * [simplify]: iters left: 1 (11 enodes) 28.216 * * [simplify]: Extracting #0: cost 1 inf + 0 28.216 * * [simplify]: Extracting #1: cost 0 inf + 1 28.216 * [simplify]: Simplified to 1 28.216 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 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 (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))))))) 28.216 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 28.216 * * [simplify]: iters left: 6 (8 enodes) 28.220 * * [simplify]: iters left: 5 (25 enodes) 28.228 * * [simplify]: iters left: 4 (28 enodes) 28.236 * * [simplify]: Extracting #0: cost 1 inf + 0 28.236 * * [simplify]: Extracting #1: cost 5 inf + 0 28.236 * * [simplify]: Extracting #2: cost 7 inf + 1 28.237 * * [simplify]: Extracting #3: cost 10 inf + 1 28.237 * * [simplify]: Extracting #4: cost 8 inf + 3 28.237 * * [simplify]: Extracting #5: cost 3 inf + 491 28.237 * * [simplify]: Extracting #6: cost 1 inf + 767 28.238 * * [simplify]: Extracting #7: cost 0 inf + 945 28.238 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 28.238 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.238 * * * * [progress]: [ 159 / 233 ] simplifiying candidate # 28.239 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 28.239 * * [simplify]: iters left: 3 (3 enodes) 28.241 * * [simplify]: iters left: 2 (9 enodes) 28.243 * * [simplify]: iters left: 1 (11 enodes) 28.244 * * [simplify]: Extracting #0: cost 1 inf + 0 28.244 * * [simplify]: Extracting #1: cost 0 inf + 1 28.244 * [simplify]: Simplified to 1 28.244 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 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 (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))))))) 28.245 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 28.245 * * [simplify]: iters left: 6 (8 enodes) 28.247 * * [simplify]: iters left: 5 (25 enodes) 28.251 * * [simplify]: iters left: 4 (28 enodes) 28.255 * * [simplify]: Extracting #0: cost 1 inf + 0 28.255 * * [simplify]: Extracting #1: cost 5 inf + 0 28.255 * * [simplify]: Extracting #2: cost 7 inf + 1 28.255 * * [simplify]: Extracting #3: cost 10 inf + 1 28.255 * * [simplify]: Extracting #4: cost 8 inf + 3 28.256 * * [simplify]: Extracting #5: cost 3 inf + 491 28.256 * * [simplify]: Extracting #6: cost 1 inf + 767 28.256 * * [simplify]: Extracting #7: cost 0 inf + 945 28.256 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 28.256 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.256 * * * * [progress]: [ 160 / 233 ] simplifiying candidate # 28.257 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 28.257 * * [simplify]: iters left: 6 (9 enodes) 28.259 * * [simplify]: iters left: 5 (28 enodes) 28.264 * * [simplify]: iters left: 4 (31 enodes) 28.271 * * [simplify]: Extracting #0: cost 1 inf + 0 28.271 * * [simplify]: Extracting #1: cost 4 inf + 0 28.271 * * [simplify]: Extracting #2: cost 8 inf + 0 28.271 * * [simplify]: Extracting #3: cost 9 inf + 1 28.271 * * [simplify]: Extracting #4: cost 12 inf + 1 28.271 * * [simplify]: Extracting #5: cost 8 inf + 117 28.272 * * [simplify]: Extracting #6: cost 6 inf + 353 28.272 * * [simplify]: Extracting #7: cost 2 inf + 985 28.273 * * [simplify]: Extracting #8: cost 0 inf + 1381 28.273 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 28.273 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 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))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.274 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 28.274 * * [simplify]: iters left: 6 (9 enodes) 28.279 * * [simplify]: iters left: 5 (28 enodes) 28.288 * * [simplify]: iters left: 4 (31 enodes) 28.297 * * [simplify]: Extracting #0: cost 1 inf + 0 28.297 * * [simplify]: Extracting #1: cost 4 inf + 0 28.297 * * [simplify]: Extracting #2: cost 8 inf + 0 28.297 * * [simplify]: Extracting #3: cost 9 inf + 1 28.297 * * [simplify]: Extracting #4: cost 12 inf + 1 28.297 * * [simplify]: Extracting #5: cost 8 inf + 117 28.297 * * [simplify]: Extracting #6: cost 6 inf + 353 28.298 * * [simplify]: Extracting #7: cost 2 inf + 985 28.298 * * [simplify]: Extracting #8: cost 0 inf + 1381 28.298 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 28.299 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 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))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.299 * * * * [progress]: [ 161 / 233 ] simplifiying candidate # 28.299 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 28.299 * * [simplify]: iters left: 6 (9 enodes) 28.304 * * [simplify]: iters left: 5 (28 enodes) 28.313 * * [simplify]: iters left: 4 (31 enodes) 28.322 * * [simplify]: Extracting #0: cost 1 inf + 0 28.322 * * [simplify]: Extracting #1: cost 4 inf + 0 28.322 * * [simplify]: Extracting #2: cost 8 inf + 0 28.322 * * [simplify]: Extracting #3: cost 9 inf + 1 28.322 * * [simplify]: Extracting #4: cost 12 inf + 1 28.322 * * [simplify]: Extracting #5: cost 8 inf + 117 28.323 * * [simplify]: Extracting #6: cost 6 inf + 353 28.323 * * [simplify]: Extracting #7: cost 2 inf + 985 28.323 * * [simplify]: Extracting #8: cost 0 inf + 1381 28.324 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 28.324 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 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))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.325 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 28.325 * * [simplify]: iters left: 6 (9 enodes) 28.330 * * [simplify]: iters left: 5 (28 enodes) 28.337 * * [simplify]: iters left: 4 (31 enodes) 28.342 * * [simplify]: Extracting #0: cost 1 inf + 0 28.342 * * [simplify]: Extracting #1: cost 4 inf + 0 28.342 * * [simplify]: Extracting #2: cost 8 inf + 0 28.342 * * [simplify]: Extracting #3: cost 9 inf + 1 28.342 * * [simplify]: Extracting #4: cost 12 inf + 1 28.342 * * [simplify]: Extracting #5: cost 8 inf + 117 28.342 * * [simplify]: Extracting #6: cost 6 inf + 353 28.342 * * [simplify]: Extracting #7: cost 2 inf + 985 28.343 * * [simplify]: Extracting #8: cost 0 inf + 1381 28.343 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 28.343 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 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))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.343 * * * * [progress]: [ 162 / 233 ] simplifiying candidate # 28.343 * [simplify]: Simplifying (* 1 1) 28.343 * * [simplify]: iters left: 2 (2 enodes) 28.344 * * [simplify]: iters left: 1 (6 enodes) 28.345 * * [simplify]: Extracting #0: cost 1 inf + 0 28.345 * * [simplify]: Extracting #1: cost 0 inf + 1 28.345 * [simplify]: Simplified to 1 28.345 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 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 (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))))))) 28.346 * [simplify]: Simplifying (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 28.346 * * [simplify]: iters left: 6 (8 enodes) 28.348 * * [simplify]: iters left: 5 (25 enodes) 28.352 * * [simplify]: iters left: 4 (28 enodes) 28.356 * * [simplify]: Extracting #0: cost 1 inf + 0 28.357 * * [simplify]: Extracting #1: cost 5 inf + 0 28.357 * * [simplify]: Extracting #2: cost 7 inf + 1 28.357 * * [simplify]: Extracting #3: cost 10 inf + 1 28.357 * * [simplify]: Extracting #4: cost 8 inf + 3 28.357 * * [simplify]: Extracting #5: cost 3 inf + 491 28.357 * * [simplify]: Extracting #6: cost 1 inf + 767 28.357 * * [simplify]: Extracting #7: cost 0 inf + 945 28.357 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 28.357 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (* 1 1) (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.358 * * * * [progress]: [ 163 / 233 ] simplifiying candidate # 28.358 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 28.358 * * [simplify]: iters left: 6 (9 enodes) 28.361 * * [simplify]: iters left: 5 (28 enodes) 28.366 * * [simplify]: iters left: 4 (31 enodes) 28.374 * * [simplify]: Extracting #0: cost 1 inf + 0 28.374 * * [simplify]: Extracting #1: cost 4 inf + 0 28.374 * * [simplify]: Extracting #2: cost 8 inf + 0 28.375 * * [simplify]: Extracting #3: cost 9 inf + 1 28.375 * * [simplify]: Extracting #4: cost 12 inf + 1 28.375 * * [simplify]: Extracting #5: cost 8 inf + 117 28.375 * * [simplify]: Extracting #6: cost 6 inf + 353 28.375 * * [simplify]: Extracting #7: cost 2 inf + 985 28.376 * * [simplify]: Extracting #8: cost 0 inf + 1381 28.376 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 28.376 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 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))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.377 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 28.377 * * [simplify]: iters left: 6 (9 enodes) 28.382 * * [simplify]: iters left: 5 (28 enodes) 28.391 * * [simplify]: iters left: 4 (31 enodes) 28.399 * * [simplify]: Extracting #0: cost 1 inf + 0 28.399 * * [simplify]: Extracting #1: cost 4 inf + 0 28.399 * * [simplify]: Extracting #2: cost 8 inf + 0 28.399 * * [simplify]: Extracting #3: cost 9 inf + 1 28.399 * * [simplify]: Extracting #4: cost 12 inf + 1 28.399 * * [simplify]: Extracting #5: cost 8 inf + 117 28.399 * * [simplify]: Extracting #6: cost 6 inf + 353 28.399 * * [simplify]: Extracting #7: cost 2 inf + 985 28.399 * * [simplify]: Extracting #8: cost 0 inf + 1381 28.400 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 28.400 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 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))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.400 * * * * [progress]: [ 164 / 233 ] simplifiying candidate # 28.400 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 28.400 * * [simplify]: iters left: 6 (9 enodes) 28.403 * * [simplify]: iters left: 5 (28 enodes) 28.410 * * [simplify]: iters left: 4 (31 enodes) 28.415 * * [simplify]: Extracting #0: cost 1 inf + 0 28.415 * * [simplify]: Extracting #1: cost 4 inf + 0 28.415 * * [simplify]: Extracting #2: cost 8 inf + 0 28.415 * * [simplify]: Extracting #3: cost 9 inf + 1 28.415 * * [simplify]: Extracting #4: cost 12 inf + 1 28.415 * * [simplify]: Extracting #5: cost 8 inf + 117 28.415 * * [simplify]: Extracting #6: cost 6 inf + 353 28.415 * * [simplify]: Extracting #7: cost 2 inf + 985 28.416 * * [simplify]: Extracting #8: cost 0 inf + 1381 28.416 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 28.416 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 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))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.416 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 28.416 * * [simplify]: iters left: 6 (9 enodes) 28.419 * * [simplify]: iters left: 5 (28 enodes) 28.423 * * [simplify]: iters left: 4 (31 enodes) 28.428 * * [simplify]: Extracting #0: cost 1 inf + 0 28.428 * * [simplify]: Extracting #1: cost 4 inf + 0 28.428 * * [simplify]: Extracting #2: cost 8 inf + 0 28.428 * * [simplify]: Extracting #3: cost 9 inf + 1 28.428 * * [simplify]: Extracting #4: cost 12 inf + 1 28.429 * * [simplify]: Extracting #5: cost 8 inf + 117 28.429 * * [simplify]: Extracting #6: cost 6 inf + 353 28.429 * * [simplify]: Extracting #7: cost 2 inf + 985 28.429 * * [simplify]: Extracting #8: cost 0 inf + 1381 28.429 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 28.429 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 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))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.430 * * * * [progress]: [ 165 / 233 ] simplifiying candidate # 28.430 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 28.430 * * [simplify]: iters left: 6 (9 enodes) 28.432 * * [simplify]: iters left: 5 (28 enodes) 28.437 * * [simplify]: iters left: 4 (31 enodes) 28.442 * * [simplify]: Extracting #0: cost 1 inf + 0 28.442 * * [simplify]: Extracting #1: cost 4 inf + 0 28.442 * * [simplify]: Extracting #2: cost 8 inf + 0 28.442 * * [simplify]: Extracting #3: cost 9 inf + 1 28.442 * * [simplify]: Extracting #4: cost 12 inf + 1 28.442 * * [simplify]: Extracting #5: cost 8 inf + 117 28.442 * * [simplify]: Extracting #6: cost 6 inf + 353 28.442 * * [simplify]: Extracting #7: cost 2 inf + 985 28.442 * * [simplify]: Extracting #8: cost 0 inf + 1381 28.443 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 28.443 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 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))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.443 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 28.443 * * [simplify]: iters left: 6 (9 enodes) 28.448 * * [simplify]: iters left: 5 (28 enodes) 28.456 * * [simplify]: iters left: 4 (31 enodes) 28.461 * * [simplify]: Extracting #0: cost 1 inf + 0 28.461 * * [simplify]: Extracting #1: cost 4 inf + 0 28.461 * * [simplify]: Extracting #2: cost 8 inf + 0 28.461 * * [simplify]: Extracting #3: cost 9 inf + 1 28.461 * * [simplify]: Extracting #4: cost 12 inf + 1 28.461 * * [simplify]: Extracting #5: cost 8 inf + 117 28.461 * * [simplify]: Extracting #6: cost 6 inf + 353 28.462 * * [simplify]: Extracting #7: cost 2 inf + 985 28.462 * * [simplify]: Extracting #8: cost 0 inf + 1381 28.462 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 28.462 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 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))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.462 * * * * [progress]: [ 166 / 233 ] simplifiying candidate # 28.463 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 28.463 * * [simplify]: iters left: 6 (9 enodes) 28.465 * * [simplify]: iters left: 5 (28 enodes) 28.470 * * [simplify]: iters left: 4 (31 enodes) 28.475 * * [simplify]: Extracting #0: cost 1 inf + 0 28.475 * * [simplify]: Extracting #1: cost 4 inf + 0 28.475 * * [simplify]: Extracting #2: cost 8 inf + 0 28.475 * * [simplify]: Extracting #3: cost 9 inf + 1 28.475 * * [simplify]: Extracting #4: cost 12 inf + 1 28.475 * * [simplify]: Extracting #5: cost 8 inf + 117 28.475 * * [simplify]: Extracting #6: cost 6 inf + 353 28.475 * * [simplify]: Extracting #7: cost 2 inf + 985 28.475 * * [simplify]: Extracting #8: cost 0 inf + 1381 28.476 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 28.476 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 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))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.476 * [simplify]: Simplifying (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 28.476 * * [simplify]: iters left: 6 (9 enodes) 28.479 * * [simplify]: iters left: 5 (28 enodes) 28.483 * * [simplify]: iters left: 4 (31 enodes) 28.488 * * [simplify]: Extracting #0: cost 1 inf + 0 28.489 * * [simplify]: Extracting #1: cost 4 inf + 0 28.489 * * [simplify]: Extracting #2: cost 8 inf + 0 28.489 * * [simplify]: Extracting #3: cost 9 inf + 1 28.489 * * [simplify]: Extracting #4: cost 12 inf + 1 28.489 * * [simplify]: Extracting #5: cost 8 inf + 117 28.489 * * [simplify]: Extracting #6: cost 6 inf + 353 28.489 * * [simplify]: Extracting #7: cost 2 inf + 985 28.490 * * [simplify]: Extracting #8: cost 0 inf + 1381 28.490 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 28.490 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 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))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.491 * * * * [progress]: [ 167 / 233 ] simplifiying candidate # 28.491 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 28.491 * * [simplify]: iters left: 5 (6 enodes) 28.495 * * [simplify]: iters left: 4 (21 enodes) 28.499 * * [simplify]: iters left: 3 (23 enodes) 28.505 * * [simplify]: Extracting #0: cost 1 inf + 0 28.505 * * [simplify]: Extracting #1: cost 4 inf + 0 28.505 * * [simplify]: Extracting #2: cost 5 inf + 1 28.505 * * [simplify]: Extracting #3: cost 8 inf + 1 28.505 * * [simplify]: Extracting #4: cost 6 inf + 3 28.505 * * [simplify]: Extracting #5: cost 0 inf + 589 28.505 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 28.505 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (pow (+ 1/2 (/ 1/2 (hypot 1 x))) (* 2 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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.506 * [simplify]: Simplifying (* 2 1/2) 28.506 * * [simplify]: iters left: 2 (3 enodes) 28.508 * * [simplify]: iters left: 1 (11 enodes) 28.510 * * [simplify]: Extracting #0: cost 1 inf + 0 28.510 * * [simplify]: Extracting #1: cost 0 inf + 1 28.510 * [simplify]: Simplified to 1 28.510 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ 1 (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))))))) 28.510 * * * * [progress]: [ 168 / 233 ] simplifiying candidate # 28.510 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 28.510 * * [simplify]: iters left: 6 (7 enodes) 28.512 * * [simplify]: iters left: 5 (24 enodes) 28.516 * * [simplify]: iters left: 4 (26 enodes) 28.520 * * [simplify]: Extracting #0: cost 1 inf + 0 28.520 * * [simplify]: Extracting #1: cost 3 inf + 0 28.520 * * [simplify]: Extracting #2: cost 6 inf + 0 28.520 * * [simplify]: Extracting #3: cost 7 inf + 1 28.521 * * [simplify]: Extracting #4: cost 10 inf + 1 28.521 * * [simplify]: Extracting #5: cost 6 inf + 117 28.521 * * [simplify]: Extracting #6: cost 2 inf + 629 28.521 * * [simplify]: Extracting #7: cost 0 inf + 945 28.521 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 28.521 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (pow (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* 2 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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.522 * [simplify]: Simplifying (* 2 1) 28.522 * * [simplify]: iters left: 2 (3 enodes) 28.523 * * [simplify]: iters left: 1 (9 enodes) 28.526 * * [simplify]: Extracting #0: cost 1 inf + 0 28.526 * * [simplify]: Extracting #1: cost 0 inf + 1 28.526 * [simplify]: Simplified to 2 28.526 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.526 * * * * [progress]: [ 169 / 233 ] simplifiying candidate # 28.526 * [simplify]: Simplifying (+ (/ 1/2 (hypot 1 x)) 1/2) 28.527 * * [simplify]: iters left: 5 (6 enodes) 28.530 * * [simplify]: iters left: 4 (21 enodes) 28.537 * * [simplify]: iters left: 3 (23 enodes) 28.543 * * [simplify]: Extracting #0: cost 1 inf + 0 28.544 * * [simplify]: Extracting #1: cost 4 inf + 0 28.544 * * [simplify]: Extracting #2: cost 5 inf + 1 28.544 * * [simplify]: Extracting #3: cost 8 inf + 1 28.544 * * [simplify]: Extracting #4: cost 6 inf + 3 28.544 * * [simplify]: Extracting #5: cost 0 inf + 589 28.544 * [simplify]: Simplified to (+ 1/2 (/ 1/2 (hypot 1 x))) 28.544 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (pow (+ 1/2 (/ 1/2 (hypot 1 x))) (* 2 (/ 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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.545 * [simplify]: Simplifying (* 2 (/ 1 2)) 28.545 * * [simplify]: iters left: 4 (4 enodes) 28.548 * * [simplify]: iters left: 3 (13 enodes) 28.553 * * [simplify]: iters left: 2 (15 enodes) 28.557 * * [simplify]: Extracting #0: cost 1 inf + 0 28.558 * * [simplify]: Extracting #1: cost 0 inf + 1 28.558 * [simplify]: Simplified to 1 28.558 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ 1 (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))))))) 28.558 * * * * [progress]: [ 170 / 233 ] simplifiying candidate # 28.558 * [simplify]: Simplifying (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 28.558 * * [simplify]: iters left: 6 (8 enodes) 28.563 * * [simplify]: iters left: 5 (27 enodes) 28.572 * * [simplify]: iters left: 4 (29 enodes) 28.581 * * [simplify]: Extracting #0: cost 1 inf + 0 28.581 * * [simplify]: Extracting #1: cost 3 inf + 0 28.581 * * [simplify]: Extracting #2: cost 5 inf + 0 28.581 * * [simplify]: Extracting #3: cost 8 inf + 0 28.581 * * [simplify]: Extracting #4: cost 9 inf + 1 28.581 * * [simplify]: Extracting #5: cost 12 inf + 1 28.581 * * [simplify]: Extracting #6: cost 9 inf + 60 28.581 * * [simplify]: Extracting #7: cost 5 inf + 451 28.582 * * [simplify]: Extracting #8: cost 1 inf + 1203 28.582 * * [simplify]: Extracting #9: cost 0 inf + 1461 28.583 * [simplify]: Simplified to (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 28.583 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 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)))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.583 * * * * [progress]: [ 171 / 233 ] simplifiying candidate # 28.584 * [simplify]: Simplifying (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 28.584 * * [simplify]: iters left: 6 (8 enodes) 28.588 * * [simplify]: iters left: 5 (27 enodes) 28.597 * * [simplify]: iters left: 4 (29 enodes) 28.606 * * [simplify]: Extracting #0: cost 1 inf + 0 28.606 * * [simplify]: Extracting #1: cost 3 inf + 0 28.606 * * [simplify]: Extracting #2: cost 5 inf + 0 28.606 * * [simplify]: Extracting #3: cost 8 inf + 0 28.606 * * [simplify]: Extracting #4: cost 9 inf + 1 28.606 * * [simplify]: Extracting #5: cost 12 inf + 1 28.606 * * [simplify]: Extracting #6: cost 9 inf + 60 28.606 * * [simplify]: Extracting #7: cost 5 inf + 451 28.607 * * [simplify]: Extracting #8: cost 1 inf + 1283 28.607 * * [simplify]: Extracting #9: cost 0 inf + 1541 28.607 * [simplify]: Simplified to (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 28.608 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 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)))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.608 * * * * [progress]: [ 172 / 233 ] simplifiying candidate # 28.608 * [simplify]: Simplifying (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 28.608 * * [simplify]: iters left: 6 (8 enodes) 28.613 * * [simplify]: iters left: 5 (27 enodes) 28.622 * * [simplify]: iters left: 4 (29 enodes) 28.631 * * [simplify]: Extracting #0: cost 1 inf + 0 28.631 * * [simplify]: Extracting #1: cost 3 inf + 0 28.631 * * [simplify]: Extracting #2: cost 5 inf + 0 28.631 * * [simplify]: Extracting #3: cost 8 inf + 0 28.631 * * [simplify]: Extracting #4: cost 9 inf + 1 28.631 * * [simplify]: Extracting #5: cost 12 inf + 1 28.631 * * [simplify]: Extracting #6: cost 9 inf + 60 28.631 * * [simplify]: Extracting #7: cost 5 inf + 451 28.632 * * [simplify]: Extracting #8: cost 1 inf + 1163 28.632 * * [simplify]: Extracting #9: cost 0 inf + 1381 28.633 * [simplify]: Simplified to (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 28.633 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 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)))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.633 * * * * [progress]: [ 173 / 233 ] simplifiying candidate # 28.633 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 28.633 * * [simplify]: iters left: 6 (7 enodes) 28.637 * * [simplify]: iters left: 5 (24 enodes) 28.645 * * [simplify]: iters left: 4 (26 enodes) 28.656 * * [simplify]: Extracting #0: cost 1 inf + 0 28.656 * * [simplify]: Extracting #1: cost 3 inf + 0 28.656 * * [simplify]: Extracting #2: cost 6 inf + 0 28.656 * * [simplify]: Extracting #3: cost 7 inf + 1 28.656 * * [simplify]: Extracting #4: cost 10 inf + 1 28.657 * * [simplify]: Extracting #5: cost 6 inf + 117 28.657 * * [simplify]: Extracting #6: cost 2 inf + 629 28.657 * * [simplify]: Extracting #7: cost 0 inf + 945 28.658 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 28.658 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.658 * * * * [progress]: [ 174 / 233 ] simplifiying candidate # 28.658 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 28.658 * * [simplify]: iters left: 6 (7 enodes) 28.662 * * [simplify]: iters left: 5 (24 enodes) 28.670 * * [simplify]: iters left: 4 (26 enodes) 28.678 * * [simplify]: Extracting #0: cost 1 inf + 0 28.679 * * [simplify]: Extracting #1: cost 3 inf + 0 28.679 * * [simplify]: Extracting #2: cost 6 inf + 0 28.679 * * [simplify]: Extracting #3: cost 7 inf + 1 28.679 * * [simplify]: Extracting #4: cost 10 inf + 1 28.679 * * [simplify]: Extracting #5: cost 6 inf + 117 28.679 * * [simplify]: Extracting #6: cost 2 inf + 629 28.679 * * [simplify]: Extracting #7: cost 0 inf + 945 28.680 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 28.680 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.680 * * * * [progress]: [ 175 / 233 ] simplifiying candidate # 28.680 * [simplify]: Simplifying (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 28.681 * * [simplify]: iters left: 6 (8 enodes) 28.685 * * [simplify]: iters left: 5 (27 enodes) 28.693 * * [simplify]: iters left: 4 (29 enodes) 28.702 * * [simplify]: Extracting #0: cost 1 inf + 0 28.702 * * [simplify]: Extracting #1: cost 3 inf + 0 28.702 * * [simplify]: Extracting #2: cost 5 inf + 0 28.702 * * [simplify]: Extracting #3: cost 8 inf + 0 28.702 * * [simplify]: Extracting #4: cost 9 inf + 1 28.702 * * [simplify]: Extracting #5: cost 12 inf + 1 28.702 * * [simplify]: Extracting #6: cost 9 inf + 60 28.702 * * [simplify]: Extracting #7: cost 5 inf + 451 28.703 * * [simplify]: Extracting #8: cost 1 inf + 1163 28.703 * * [simplify]: Extracting #9: cost 0 inf + 1381 28.703 * [simplify]: Simplified to (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 28.704 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 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)))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.704 * * * * [progress]: [ 176 / 233 ] simplifiying candidate # 28.704 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 28.704 * * [simplify]: iters left: 6 (7 enodes) 28.708 * * [simplify]: iters left: 5 (24 enodes) 28.716 * * [simplify]: iters left: 4 (26 enodes) 28.724 * * [simplify]: Extracting #0: cost 1 inf + 0 28.724 * * [simplify]: Extracting #1: cost 3 inf + 0 28.724 * * [simplify]: Extracting #2: cost 6 inf + 0 28.724 * * [simplify]: Extracting #3: cost 7 inf + 1 28.724 * * [simplify]: Extracting #4: cost 10 inf + 1 28.724 * * [simplify]: Extracting #5: cost 6 inf + 117 28.724 * * [simplify]: Extracting #6: cost 2 inf + 629 28.725 * * [simplify]: Extracting #7: cost 0 inf + 945 28.725 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 28.725 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.725 * * * * [progress]: [ 177 / 233 ] simplifiying candidate # 28.726 * [simplify]: Simplifying (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 28.726 * * [simplify]: iters left: 6 (9 enodes) 28.731 * * [simplify]: iters left: 5 (30 enodes) 28.740 * * [simplify]: iters left: 4 (32 enodes) 28.750 * * [simplify]: Extracting #0: cost 1 inf + 0 28.751 * * [simplify]: Extracting #1: cost 3 inf + 0 28.751 * * [simplify]: Extracting #2: cost 5 inf + 0 28.751 * * [simplify]: Extracting #3: cost 7 inf + 0 28.751 * * [simplify]: Extracting #4: cost 10 inf + 0 28.751 * * [simplify]: Extracting #5: cost 11 inf + 1 28.751 * * [simplify]: Extracting #6: cost 14 inf + 1 28.751 * * [simplify]: Extracting #7: cost 10 inf + 117 28.751 * * [simplify]: Extracting #8: cost 8 inf + 353 28.752 * * [simplify]: Extracting #9: cost 4 inf + 1025 28.752 * * [simplify]: Extracting #10: cost 0 inf + 2057 28.753 * [simplify]: Simplified to (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 28.753 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 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)))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.753 * * * * [progress]: [ 178 / 233 ] simplifiying candidate # 28.753 * [simplify]: Simplifying (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 28.754 * * [simplify]: iters left: 6 (9 enodes) 28.758 * * [simplify]: iters left: 5 (31 enodes) 28.768 * * [simplify]: iters left: 4 (33 enodes) 28.778 * * [simplify]: Extracting #0: cost 1 inf + 0 28.778 * * [simplify]: Extracting #1: cost 4 inf + 0 28.778 * * [simplify]: Extracting #2: cost 7 inf + 0 28.778 * * [simplify]: Extracting #3: cost 10 inf + 0 28.778 * * [simplify]: Extracting #4: cost 11 inf + 1 28.778 * * [simplify]: Extracting #5: cost 14 inf + 1 28.778 * * [simplify]: Extracting #6: cost 11 inf + 60 28.778 * * [simplify]: Extracting #7: cost 7 inf + 451 28.779 * * [simplify]: Extracting #8: cost 0 inf + 2057 28.779 * [simplify]: Simplified to (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 28.779 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 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)))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.780 * * * * [progress]: [ 179 / 233 ] simplifiying candidate # 28.780 * [simplify]: Simplifying (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 28.780 * * [simplify]: iters left: 6 (8 enodes) 28.785 * * [simplify]: iters left: 5 (27 enodes) 28.793 * * [simplify]: iters left: 4 (29 enodes) 28.802 * * [simplify]: Extracting #0: cost 1 inf + 0 28.802 * * [simplify]: Extracting #1: cost 3 inf + 0 28.802 * * [simplify]: Extracting #2: cost 5 inf + 0 28.802 * * [simplify]: Extracting #3: cost 8 inf + 0 28.802 * * [simplify]: Extracting #4: cost 9 inf + 1 28.802 * * [simplify]: Extracting #5: cost 12 inf + 1 28.802 * * [simplify]: Extracting #6: cost 9 inf + 60 28.802 * * [simplify]: Extracting #7: cost 5 inf + 451 28.803 * * [simplify]: Extracting #8: cost 1 inf + 1163 28.803 * * [simplify]: Extracting #9: cost 0 inf + 1381 28.804 * [simplify]: Simplified to (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 28.804 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 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)))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.804 * * * * [progress]: [ 180 / 233 ] simplifiying candidate # 28.804 * [simplify]: Simplifying (sqrt 1) 28.804 * * [simplify]: iters left: 1 (2 enodes) 28.807 * * [simplify]: Extracting #0: cost 1 inf + 0 28.808 * * [simplify]: Extracting #1: cost 0 inf + 1 28.808 * [simplify]: Simplified to 1 28.808 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 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 (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))))))) 28.808 * * * * [progress]: [ 181 / 233 ] simplifiying candidate # 28.808 * [simplify]: Simplifying (sqrt 1) 28.808 * * [simplify]: iters left: 1 (2 enodes) 28.811 * * [simplify]: Extracting #0: cost 1 inf + 0 28.811 * * [simplify]: Extracting #1: cost 0 inf + 1 28.811 * [simplify]: Simplified to 1 28.811 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 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 (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))))))) 28.812 * * * * [progress]: [ 182 / 233 ] simplifiying candidate # 28.812 * [simplify]: Simplifying (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 28.812 * * [simplify]: iters left: 6 (8 enodes) 28.819 * * [simplify]: iters left: 5 (27 enodes) 28.825 * * [simplify]: iters left: 4 (29 enodes) 28.829 * * [simplify]: Extracting #0: cost 1 inf + 0 28.829 * * [simplify]: Extracting #1: cost 3 inf + 0 28.829 * * [simplify]: Extracting #2: cost 5 inf + 0 28.829 * * [simplify]: Extracting #3: cost 8 inf + 0 28.829 * * [simplify]: Extracting #4: cost 9 inf + 1 28.829 * * [simplify]: Extracting #5: cost 12 inf + 1 28.829 * * [simplify]: Extracting #6: cost 9 inf + 60 28.829 * * [simplify]: Extracting #7: cost 5 inf + 451 28.830 * * [simplify]: Extracting #8: cost 1 inf + 1163 28.830 * * [simplify]: Extracting #9: cost 0 inf + 1381 28.830 * [simplify]: Simplified to (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 28.830 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 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)))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.830 * * * * [progress]: [ 183 / 233 ] simplifiying candidate # 28.830 * * * * [progress]: [ 184 / 233 ] simplifiying candidate # 28.831 * [simplify]: Simplifying (sqrt (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) 1/2)))) 28.831 * * [simplify]: iters left: 6 (11 enodes) 28.835 * * [simplify]: iters left: 5 (47 enodes) 28.843 * * [simplify]: iters left: 4 (85 enodes) 28.861 * * [simplify]: iters left: 3 (124 enodes) 28.889 * * [simplify]: iters left: 2 (167 enodes) 28.925 * * [simplify]: iters left: 1 (254 enodes) 28.979 * * [simplify]: Extracting #0: cost 1 inf + 0 28.979 * * [simplify]: Extracting #1: cost 3 inf + 0 28.979 * * [simplify]: Extracting #2: cost 18 inf + 0 28.979 * * [simplify]: Extracting #3: cost 57 inf + 2 28.979 * * [simplify]: Extracting #4: cost 76 inf + 4 28.980 * * [simplify]: Extracting #5: cost 74 inf + 6 28.981 * * [simplify]: Extracting #6: cost 44 inf + 4147 28.984 * * [simplify]: Extracting #7: cost 2 inf + 10984 28.987 * * [simplify]: Extracting #8: cost 0 inf + 11381 28.991 * [simplify]: Simplified to (sqrt (+ (- (/ -1/4 (hypot 1 x)) (/ (/ -1/4 (hypot 1 x)) (hypot 1 x))) 1/4)) 28.991 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (/ (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3)))) (sqrt (+ (- (/ -1/4 (hypot 1 x)) (/ (/ -1/4 (hypot 1 x)) (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 28.991 * * * * [progress]: [ 185 / 233 ] simplifiying candidate # 28.991 * [simplify]: Simplifying (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) 28.991 * * [simplify]: iters left: 6 (7 enodes) 28.997 * * [simplify]: iters left: 5 (26 enodes) 29.002 * * [simplify]: iters left: 4 (30 enodes) 29.007 * * [simplify]: Extracting #0: cost 1 inf + 0 29.007 * * [simplify]: Extracting #1: cost 3 inf + 0 29.007 * * [simplify]: Extracting #2: cost 7 inf + 0 29.007 * * [simplify]: Extracting #3: cost 7 inf + 2 29.007 * * [simplify]: Extracting #4: cost 10 inf + 2 29.007 * * [simplify]: Extracting #5: cost 6 inf + 118 29.007 * * [simplify]: Extracting #6: cost 4 inf + 354 29.007 * * [simplify]: Extracting #7: cost 1 inf + 768 29.007 * * [simplify]: Extracting #8: cost 0 inf + 946 29.008 * [simplify]: Simplified to (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) 29.008 * [simplify]: Simplified (2 1 2 1 2) to (λ (x) (/ (- (* (* 1 1) (* 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))) (* (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 29.008 * * * * [progress]: [ 186 / 233 ] simplifiying candidate # 29.008 * [simplify]: Simplifying (* (sqrt (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3))) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 29.008 * * [simplify]: iters left: 6 (13 enodes) 29.014 * * [simplify]: iters left: 5 (61 enodes) 29.039 * * [simplify]: iters left: 4 (103 enodes) 29.069 * * [simplify]: iters left: 3 (192 enodes) 29.124 * * [simplify]: iters left: 2 (318 enodes) 29.263 * * [simplify]: Extracting #0: cost 1 inf + 0 29.263 * * [simplify]: Extracting #1: cost 4 inf + 0 29.264 * * [simplify]: Extracting #2: cost 8 inf + 0 29.264 * * [simplify]: Extracting #3: cost 14 inf + 0 29.264 * * [simplify]: Extracting #4: cost 50 inf + 2 29.264 * * [simplify]: Extracting #5: cost 109 inf + 5 29.265 * * [simplify]: Extracting #6: cost 93 inf + 2679 29.267 * * [simplify]: Extracting #7: cost 27 inf + 21269 29.271 * * [simplify]: Extracting #8: cost 4 inf + 31835 29.279 * * [simplify]: Extracting #9: cost 0 inf + 34257 29.288 * [simplify]: Simplified to (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/8 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))))) 29.288 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (/ (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/8 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (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)) (sqrt (+ (/ 1/2 (hypot 1 x)) 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))))))) 29.288 * * * * [progress]: [ 187 / 233 ] simplifiying candidate # 29.289 * [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))) 29.289 * * [simplify]: iters left: 6 (12 enodes) 29.296 * * [simplify]: iters left: 5 (50 enodes) 29.313 * * [simplify]: iters left: 4 (69 enodes) 29.339 * * [simplify]: iters left: 3 (95 enodes) 29.367 * * [simplify]: iters left: 2 (140 enodes) 29.386 * * [simplify]: iters left: 1 (177 enodes) 29.425 * * [simplify]: Extracting #0: cost 1 inf + 0 29.425 * * [simplify]: Extracting #1: cost 4 inf + 0 29.425 * * [simplify]: Extracting #2: cost 8 inf + 0 29.425 * * [simplify]: Extracting #3: cost 29 inf + 0 29.426 * * [simplify]: Extracting #4: cost 58 inf + 3 29.426 * * [simplify]: Extracting #5: cost 68 inf + 4 29.426 * * [simplify]: Extracting #6: cost 66 inf + 6 29.428 * * [simplify]: Extracting #7: cost 42 inf + 3515 29.432 * * [simplify]: Extracting #8: cost 3 inf + 10790 29.438 * * [simplify]: Extracting #9: cost 0 inf + 11166 29.443 * * [simplify]: Extracting #10: cost 0 inf + 11127 29.452 * [simplify]: Simplified to (* (sqrt (- (/ 1/4 (* (hypot 1 x) (hypot 1 x))) 1/4)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 29.452 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (/ (* (sqrt (- (/ 1/4 (* (hypot 1 x) (hypot 1 x))) 1/4)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 29.452 * * * * [progress]: [ 188 / 233 ] simplifiying candidate #real (real->posit16 (* (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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))> 29.452 * * * * [progress]: [ 189 / 233 ] simplifiying candidate # 29.453 * * * * [progress]: [ 190 / 233 ] simplifiying candidate # 29.453 * [simplify]: Simplifying (* (+ 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))))) 29.453 * * [simplify]: iters left: 6 (12 enodes) 29.460 * * [simplify]: iters left: 5 (44 enodes) 29.477 * * [simplify]: iters left: 4 (100 enodes) 29.524 * * [simplify]: iters left: 3 (225 enodes) 29.613 * * [simplify]: Extracting #0: cost 1 inf + 0 29.613 * * [simplify]: Extracting #1: cost 50 inf + 0 29.614 * * [simplify]: Extracting #2: cost 111 inf + 3 29.615 * * [simplify]: Extracting #3: cost 118 inf + 4 29.616 * * [simplify]: Extracting #4: cost 112 inf + 453 29.617 * * [simplify]: Extracting #5: cost 96 inf + 3304 29.624 * * [simplify]: Extracting #6: cost 18 inf + 24537 29.640 * * [simplify]: Extracting #7: cost 1 inf + 29642 29.652 * * [simplify]: Extracting #8: cost 0 inf + 29936 29.665 * [simplify]: Simplified to (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 3/2 (/ 1/2 (hypot 1 x)))) 29.665 * [simplify]: Simplified (2 2 1) to (λ (x) (/ (- (* (* 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))))) (pow (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 3/2 (/ 1/2 (hypot 1 x)))) 1))) 29.665 * * * * [progress]: [ 191 / 233 ] simplifiying candidate # 29.665 * * * * [progress]: [ 192 / 233 ] simplifiying candidate # 29.666 * [simplify]: Simplifying (+ (log (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (log (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 29.666 * * [simplify]: iters left: 6 (14 enodes) 29.672 * * [simplify]: iters left: 5 (44 enodes) 29.685 * * [simplify]: iters left: 4 (56 enodes) 29.693 * * [simplify]: iters left: 3 (64 enodes) 29.701 * * [simplify]: Extracting #0: cost 1 inf + 0 29.701 * * [simplify]: Extracting #1: cost 4 inf + 0 29.701 * * [simplify]: Extracting #2: cost 8 inf + 0 29.702 * * [simplify]: Extracting #3: cost 17 inf + 0 29.702 * * [simplify]: Extracting #4: cost 19 inf + 3 29.702 * * [simplify]: Extracting #5: cost 21 inf + 3 29.702 * * [simplify]: Extracting #6: cost 16 inf + 354 29.702 * * [simplify]: Extracting #7: cost 9 inf + 1353 29.703 * * [simplify]: Extracting #8: cost 2 inf + 3081 29.703 * * [simplify]: Extracting #9: cost 0 inf + 3808 29.704 * [simplify]: Simplified to (+ (log (+ 3/2 (/ 1/2 (hypot 1 x)))) (log (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 29.704 * [simplify]: Simplified (2 2 1) to (λ (x) (/ (- (* (* 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))))) (exp (+ (log (+ 3/2 (/ 1/2 (hypot 1 x)))) (log (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 29.704 * * * * [progress]: [ 193 / 233 ] simplifiying candidate # 29.704 * * * * [progress]: [ 194 / 233 ] simplifiying candidate # 29.704 * * * * [progress]: [ 195 / 233 ] simplifiying candidate # 29.705 * [simplify]: Simplifying (* (* (* (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (* (+ (* 1 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)))))) 29.705 * * [simplify]: iters left: 6 (16 enodes) 29.709 * * [simplify]: iters left: 5 (80 enodes) 29.748 * * [simplify]: iters left: 4 (298 enodes) 29.929 * * [simplify]: Extracting #0: cost 1 inf + 0 29.929 * * [simplify]: Extracting #1: cost 27 inf + 0 29.930 * * [simplify]: Extracting #2: cost 150 inf + 1 29.932 * * [simplify]: Extracting #3: cost 235 inf + 4 29.934 * * [simplify]: Extracting #4: cost 252 inf + 5 29.937 * * [simplify]: Extracting #5: cost 232 inf + 3072 29.951 * * [simplify]: Extracting #6: cost 125 inf + 32741 29.978 * * [simplify]: Extracting #7: cost 13 inf + 72767 30.014 * * [simplify]: Extracting #8: cost 0 inf + 77802 30.053 * [simplify]: Simplified to (* (+ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (+ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (+ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 30.053 * [simplify]: Simplified (2 2 1) to (λ (x) (/ (- (* (* 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))))) (cbrt (* (+ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (+ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (+ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 30.053 * * * * [progress]: [ 196 / 233 ] simplifiying candidate # 30.053 * * * * [progress]: [ 197 / 233 ] simplifiying candidate # 30.053 * * * * [progress]: [ 198 / 233 ] simplifiying candidate # 30.053 * * * * [progress]: [ 199 / 233 ] simplifiying candidate # 30.054 * [simplify]: Simplifying (* (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)) (+ (pow (* 1 1) 3) (pow (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 3))) 30.054 * * [simplify]: iters left: 6 (17 enodes) 30.060 * * [simplify]: iters left: 5 (73 enodes) 30.080 * * [simplify]: iters left: 4 (192 enodes) 30.217 * * [simplify]: Extracting #0: cost 1 inf + 0 30.217 * * [simplify]: Extracting #1: cost 12 inf + 0 30.218 * * [simplify]: Extracting #2: cost 96 inf + 1 30.219 * * [simplify]: Extracting #3: cost 207 inf + 2 30.220 * * [simplify]: Extracting #4: cost 214 inf + 7 30.222 * * [simplify]: Extracting #5: cost 197 inf + 2996 30.232 * * [simplify]: Extracting #6: cost 114 inf + 27745 30.265 * * [simplify]: Extracting #7: cost 15 inf + 63183 30.288 * * [simplify]: Extracting #8: cost 0 inf + 70264 30.310 * [simplify]: Simplified to (+ (+ 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 30.310 * [simplify]: Simplified (2 2 1) to (λ (x) (/ (- (* (* 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 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (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) (- (* (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 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)))))))))) 30.311 * [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))))) (+ (* (* 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))))))) 30.311 * * [simplify]: iters left: 6 (18 enodes) 30.321 * * [simplify]: iters left: 5 (85 enodes) 30.361 * * [simplify]: iters left: 4 (228 enodes) 30.507 * * [simplify]: Extracting #0: cost 1 inf + 0 30.507 * * [simplify]: Extracting #1: cost 34 inf + 0 30.508 * * [simplify]: Extracting #2: cost 152 inf + 1 30.509 * * [simplify]: Extracting #3: cost 240 inf + 4 30.511 * * [simplify]: Extracting #4: cost 242 inf + 8 30.514 * * [simplify]: Extracting #5: cost 219 inf + 3964 30.525 * * [simplify]: Extracting #6: cost 128 inf + 25980 30.550 * * [simplify]: Extracting #7: cost 14 inf + 61305 30.579 * * [simplify]: Extracting #8: cost 0 inf + 66238 30.611 * [simplify]: Simplified to (* (+ 1 (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (- (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) 30.611 * [simplify]: Simplified (2 2 2) to (λ (x) (/ (- (* (* 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 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (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 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (- (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) 30.611 * * * * [progress]: [ 200 / 233 ] simplifiying candidate # 30.612 * [simplify]: Simplifying (* (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)) (- (* (* 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)))))) 30.612 * * [simplify]: iters left: 6 (17 enodes) 30.622 * * [simplify]: iters left: 5 (60 enodes) 30.649 * * [simplify]: iters left: 4 (127 enodes) 30.684 * * [simplify]: iters left: 3 (400 enodes) 30.864 * * [simplify]: Extracting #0: cost 1 inf + 0 30.864 * * [simplify]: Extracting #1: cost 48 inf + 0 30.865 * * [simplify]: Extracting #2: cost 238 inf + 1 30.868 * * [simplify]: Extracting #3: cost 374 inf + 5 30.870 * * [simplify]: Extracting #4: cost 340 inf + 5908 30.879 * * [simplify]: Extracting #5: cost 222 inf + 41858 30.914 * * [simplify]: Extracting #6: cost 31 inf + 114008 30.973 * * [simplify]: Extracting #7: cost 0 inf + 126800 31.005 * [simplify]: Simplified to (* (+ 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) 31.005 * [simplify]: Simplified (2 2 1) to (λ (x) (/ (- (* (* 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 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (* (+ 1/2 (/ 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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 31.006 * [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))))) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 31.006 * * [simplify]: iters left: 6 (14 enodes) 31.014 * * [simplify]: iters left: 5 (51 enodes) 31.034 * * [simplify]: iters left: 4 (123 enodes) 31.071 * * [simplify]: iters left: 3 (307 enodes) 31.280 * * [simplify]: Extracting #0: cost 1 inf + 0 31.280 * * [simplify]: Extracting #1: cost 94 inf + 0 31.281 * * [simplify]: Extracting #2: cost 344 inf + 5 31.283 * * [simplify]: Extracting #3: cost 396 inf + 6 31.289 * * [simplify]: Extracting #4: cost 243 inf + 35348 31.318 * * [simplify]: Extracting #5: cost 12 inf + 100951 31.357 * * [simplify]: Extracting #6: cost 0 inf + 104930 31.407 * [simplify]: Simplified to (* (+ 1 (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1/2 (/ 1/2 (hypot 1 x)))) 31.407 * [simplify]: Simplified (2 2 2) to (λ (x) (/ (- (* (* 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 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (+ 1 (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1/2 (/ 1/2 (hypot 1 x))))))) 31.408 * * * * [progress]: [ 201 / 233 ] simplifiying candidate # 31.408 * [simplify]: Simplifying (* (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (pow (* 1 1) 3) (pow (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 3))) 31.408 * * [simplify]: iters left: 6 (15 enodes) 31.418 * * [simplify]: iters left: 5 (67 enodes) 31.440 * * [simplify]: iters left: 4 (175 enodes) 31.541 * * [simplify]: Extracting #0: cost 1 inf + 0 31.542 * * [simplify]: Extracting #1: cost 13 inf + 0 31.542 * * [simplify]: Extracting #2: cost 80 inf + 1 31.542 * * [simplify]: Extracting #3: cost 178 inf + 3 31.543 * * [simplify]: Extracting #4: cost 182 inf + 8 31.545 * * [simplify]: Extracting #5: cost 140 inf + 8410 31.550 * * [simplify]: Extracting #6: cost 58 inf + 32116 31.561 * * [simplify]: Extracting #7: cost 2 inf + 49275 31.573 * * [simplify]: Extracting #8: cost 0 inf + 49870 31.585 * [simplify]: Simplified to (* (- 1/2 (/ 1/2 (hypot 1 x))) (+ (* (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) 31.585 * [simplify]: Simplified (2 2 1) to (λ (x) (/ (- (* (* 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))))) (/ (* (- 1/2 (/ 1/2 (hypot 1 x))) (+ (* (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (- 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)))))))))) 31.586 * [simplify]: Simplifying (* (- 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))))))) 31.586 * * [simplify]: iters left: 6 (16 enodes) 31.595 * * [simplify]: iters left: 5 (68 enodes) 32.037 * * [simplify]: iters left: 4 (155 enodes) 32.094 * * [simplify]: iters left: 3 (465 enodes) 32.492 * * [simplify]: Extracting #0: cost 1 inf + 0 32.492 * * [simplify]: Extracting #1: cost 84 inf + 0 32.501 * * [simplify]: Extracting #2: cost 354 inf + 2 32.504 * * [simplify]: Extracting #3: cost 434 inf + 5 32.510 * * [simplify]: Extracting #4: cost 401 inf + 5845 32.534 * * [simplify]: Extracting #5: cost 213 inf + 59306 32.570 * * [simplify]: Extracting #6: cost 9 inf + 126477 32.635 * * [simplify]: Extracting #7: cost 0 inf + 129836 32.687 * [simplify]: Simplified to (* (+ (- (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 32.687 * [simplify]: Simplified (2 2 2) to (λ (x) (/ (- (* (* 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))))) (/ (* (- 1/2 (/ 1/2 (hypot 1 x))) (+ (* (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (+ (- (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 32.688 * * * * [progress]: [ 202 / 233 ] simplifiying candidate # 32.688 * [simplify]: Simplifying (* (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (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)))))) 32.689 * * [simplify]: iters left: 6 (14 enodes) 32.696 * * [simplify]: iters left: 5 (48 enodes) 32.706 * * [simplify]: iters left: 4 (111 enodes) 32.734 * * [simplify]: iters left: 3 (297 enodes) 32.880 * * [simplify]: Extracting #0: cost 1 inf + 0 32.880 * * [simplify]: Extracting #1: cost 42 inf + 0 32.881 * * [simplify]: Extracting #2: cost 172 inf + 3 32.883 * * [simplify]: Extracting #3: cost 252 inf + 5 32.885 * * [simplify]: Extracting #4: cost 231 inf + 3651 32.900 * * [simplify]: Extracting #5: cost 81 inf + 39773 32.926 * * [simplify]: Extracting #6: cost 7 inf + 61717 32.942 * * [simplify]: Extracting #7: cost 0 inf + 64134 32.958 * [simplify]: Simplified to (* (- 1/2 (/ 1/2 (hypot 1 x))) (- 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)))) 32.958 * [simplify]: Simplified (2 2 1) to (λ (x) (/ (- (* (* 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))))) (/ (* (- 1/2 (/ 1/2 (hypot 1 x))) (- 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 32.958 * [simplify]: Simplifying (* (- 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))))) 32.958 * * [simplify]: iters left: 6 (12 enodes) 32.962 * * [simplify]: iters left: 5 (40 enodes) 32.970 * * [simplify]: iters left: 4 (73 enodes) 32.998 * * [simplify]: iters left: 3 (130 enodes) 33.028 * * [simplify]: iters left: 2 (311 enodes) 33.256 * * [simplify]: Extracting #0: cost 1 inf + 0 33.257 * * [simplify]: Extracting #1: cost 73 inf + 0 33.257 * * [simplify]: Extracting #2: cost 186 inf + 3 33.258 * * [simplify]: Extracting #3: cost 197 inf + 4 33.259 * * [simplify]: Extracting #4: cost 185 inf + 1201 33.265 * * [simplify]: Extracting #5: cost 140 inf + 12979 33.289 * * [simplify]: Extracting #6: cost 19 inf + 49636 33.318 * * [simplify]: Extracting #7: cost 0 inf + 55260 33.348 * * [simplify]: Extracting #8: cost 0 inf + 54940 33.376 * [simplify]: Simplified to (* (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1/2 (/ 1/2 (hypot 1 x)))) 33.376 * [simplify]: Simplified (2 2 2) to (λ (x) (/ (- (* (* 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)))) (- (* (* 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 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1/2 (/ 1/2 (hypot 1 x))))))) 33.376 * * * * [progress]: [ 203 / 233 ] simplifiying candidate # 33.376 * * * * [progress]: [ 204 / 233 ] simplifiying candidate # 33.376 * [simplify]: Simplifying (* (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)))))) 33.376 * * [simplify]: iters left: 6 (14 enodes) 33.380 * * [simplify]: iters left: 5 (44 enodes) 33.391 * * [simplify]: iters left: 4 (56 enodes) 33.399 * * [simplify]: iters left: 3 (64 enodes) 33.410 * * [simplify]: Extracting #0: cost 1 inf + 0 33.410 * * [simplify]: Extracting #1: cost 4 inf + 0 33.410 * * [simplify]: Extracting #2: cost 8 inf + 0 33.410 * * [simplify]: Extracting #3: cost 17 inf + 0 33.411 * * [simplify]: Extracting #4: cost 19 inf + 3 33.411 * * [simplify]: Extracting #5: cost 21 inf + 3 33.411 * * [simplify]: Extracting #6: cost 16 inf + 354 33.412 * * [simplify]: Extracting #7: cost 9 inf + 1323 33.413 * * [simplify]: Extracting #8: cost 2 inf + 2931 33.414 * * [simplify]: Extracting #9: cost 0 inf + 3568 33.415 * [simplify]: Simplified to (* (sqrt (+ 3/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 33.415 * [simplify]: Simplified (2 2 1) to (λ (x) (/ (- (* (* 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))))) (* (* (sqrt (+ 3/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 33.416 * [simplify]: Simplifying (* (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)))))) 33.416 * * [simplify]: iters left: 6 (14 enodes) 33.423 * * [simplify]: iters left: 5 (44 enodes) 33.435 * * [simplify]: iters left: 4 (56 enodes) 33.443 * * [simplify]: iters left: 3 (64 enodes) 33.452 * * [simplify]: Extracting #0: cost 1 inf + 0 33.452 * * [simplify]: Extracting #1: cost 4 inf + 0 33.452 * * [simplify]: Extracting #2: cost 8 inf + 0 33.452 * * [simplify]: Extracting #3: cost 17 inf + 0 33.452 * * [simplify]: Extracting #4: cost 19 inf + 3 33.452 * * [simplify]: Extracting #5: cost 21 inf + 3 33.452 * * [simplify]: Extracting #6: cost 16 inf + 354 33.452 * * [simplify]: Extracting #7: cost 9 inf + 1323 33.453 * * [simplify]: Extracting #8: cost 2 inf + 2931 33.454 * * [simplify]: Extracting #9: cost 0 inf + 3568 33.454 * [simplify]: Simplified to (* (sqrt (+ 3/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 33.454 * [simplify]: Simplified (2 2 2) to (λ (x) (/ (- (* (* 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))))) (* (* (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 (+ 3/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 33.454 * * * * [progress]: [ 205 / 233 ] simplifiying candidate # 33.455 * [simplify]: Simplifying (* (+ 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)))) 33.455 * * [simplify]: iters left: 6 (10 enodes) 33.458 * * [simplify]: iters left: 5 (35 enodes) 33.467 * * [simplify]: iters left: 4 (58 enodes) 33.488 * * [simplify]: iters left: 3 (104 enodes) 33.508 * * [simplify]: iters left: 2 (154 enodes) 33.551 * * [simplify]: iters left: 1 (251 enodes) 33.653 * * [simplify]: Extracting #0: cost 1 inf + 0 33.653 * * [simplify]: Extracting #1: cost 27 inf + 0 33.653 * * [simplify]: Extracting #2: cost 61 inf + 2 33.654 * * [simplify]: Extracting #3: cost 75 inf + 3 33.654 * * [simplify]: Extracting #4: cost 65 inf + 787 33.655 * * [simplify]: Extracting #5: cost 48 inf + 4196 33.658 * * [simplify]: Extracting #6: cost 12 inf + 15052 33.663 * * [simplify]: Extracting #7: cost 0 inf + 18119 33.667 * * [simplify]: Extracting #8: cost 0 inf + 18039 33.672 * [simplify]: Simplified to (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 33.672 * [simplify]: Simplified (2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 1)) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 x))))))) 33.672 * * * * [progress]: [ 206 / 233 ] simplifiying candidate # 33.672 * [simplify]: Simplifying (* (* (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)))) 33.672 * * [simplify]: iters left: 6 (10 enodes) 33.675 * * [simplify]: iters left: 5 (41 enodes) 33.688 * * [simplify]: iters left: 4 (86 enodes) 33.711 * * [simplify]: iters left: 3 (150 enodes) 33.755 * * [simplify]: iters left: 2 (245 enodes) 33.869 * * [simplify]: iters left: 1 (381 enodes) 33.990 * * [simplify]: Extracting #0: cost 1 inf + 0 33.990 * * [simplify]: Extracting #1: cost 24 inf + 0 33.991 * * [simplify]: Extracting #2: cost 65 inf + 2 33.991 * * [simplify]: Extracting #3: cost 83 inf + 3 33.992 * * [simplify]: Extracting #4: cost 76 inf + 690 33.993 * * [simplify]: Extracting #5: cost 60 inf + 4954 33.998 * * [simplify]: Extracting #6: cost 12 inf + 18984 34.004 * * [simplify]: Extracting #7: cost 0 inf + 22280 34.015 * [simplify]: Simplified to (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 34.015 * [simplify]: Simplified (2 2 2) to (λ (x) (/ (- (* (* 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) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 34.015 * * * * [progress]: [ 207 / 233 ] simplifiying candidate # 34.015 * [simplify]: Simplifying (cbrt (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 34.016 * * [simplify]: iters left: 6 (11 enodes) 34.021 * * [simplify]: iters left: 5 (33 enodes) 34.027 * * [simplify]: iters left: 4 (45 enodes) 34.034 * * [simplify]: iters left: 3 (52 enodes) 34.041 * * [simplify]: Extracting #0: cost 1 inf + 0 34.042 * * [simplify]: Extracting #1: cost 3 inf + 0 34.042 * * [simplify]: Extracting #2: cost 10 inf + 0 34.042 * * [simplify]: Extracting #3: cost 12 inf + 3 34.042 * * [simplify]: Extracting #4: cost 15 inf + 3 34.042 * * [simplify]: Extracting #5: cost 14 inf + 4 34.042 * * [simplify]: Extracting #6: cost 11 inf + 298 34.042 * * [simplify]: Extracting #7: cost 1 inf + 1800 34.043 * * [simplify]: Extracting #8: cost 0 inf + 1938 34.043 * [simplify]: Simplified to (cbrt (+ (/ 1/2 (hypot 1 x)) 3/2)) 34.043 * [simplify]: Simplified (2 2 2) to (λ (x) (/ (- (* (* 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 (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 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (cbrt (+ (/ 1/2 (hypot 1 x)) 3/2))))) 34.043 * * * * [progress]: [ 208 / 233 ] simplifiying candidate # 34.043 * [simplify]: Simplifying (sqrt (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 34.044 * * [simplify]: iters left: 6 (11 enodes) 34.047 * * [simplify]: iters left: 5 (33 enodes) 34.054 * * [simplify]: iters left: 4 (45 enodes) 34.067 * * [simplify]: iters left: 3 (52 enodes) 34.080 * * [simplify]: Extracting #0: cost 1 inf + 0 34.080 * * [simplify]: Extracting #1: cost 3 inf + 0 34.080 * * [simplify]: Extracting #2: cost 10 inf + 0 34.080 * * [simplify]: Extracting #3: cost 12 inf + 3 34.081 * * [simplify]: Extracting #4: cost 15 inf + 3 34.081 * * [simplify]: Extracting #5: cost 14 inf + 4 34.081 * * [simplify]: Extracting #6: cost 11 inf + 298 34.081 * * [simplify]: Extracting #7: cost 1 inf + 1720 34.081 * * [simplify]: Extracting #8: cost 0 inf + 1858 34.082 * [simplify]: Simplified to (sqrt (+ (/ 1/2 (hypot 1 x)) 3/2)) 34.082 * [simplify]: Simplified (2 2 2) to (λ (x) (/ (- (* (* 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 (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 (+ (/ 1/2 (hypot 1 x)) 3/2))))) 34.082 * * * * [progress]: [ 209 / 233 ] simplifiying candidate # 34.082 * [simplify]: Simplifying (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 34.082 * * [simplify]: iters left: 6 (10 enodes) 34.085 * * [simplify]: iters left: 5 (30 enodes) 34.091 * * [simplify]: iters left: 4 (42 enodes) 34.097 * * [simplify]: iters left: 3 (49 enodes) 34.106 * * [simplify]: Extracting #0: cost 1 inf + 0 34.106 * * [simplify]: Extracting #1: cost 8 inf + 0 34.106 * * [simplify]: Extracting #2: cost 10 inf + 3 34.106 * * [simplify]: Extracting #3: cost 13 inf + 3 34.106 * * [simplify]: Extracting #4: cost 12 inf + 4 34.106 * * [simplify]: Extracting #5: cost 9 inf + 216 34.107 * * [simplify]: Extracting #6: cost 2 inf + 1184 34.107 * * [simplify]: Extracting #7: cost 0 inf + 1500 34.107 * [simplify]: Simplified to (+ (/ 1/2 (hypot 1 x)) 3/2) 34.107 * [simplify]: Simplified (2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1) (+ (/ 1/2 (hypot 1 x)) 3/2)))) 34.107 * * * * [progress]: [ 210 / 233 ] simplifiying candidate # 34.108 * [simplify]: Simplifying (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 34.108 * * [simplify]: iters left: 6 (10 enodes) 34.111 * * [simplify]: iters left: 5 (34 enodes) 34.116 * * [simplify]: iters left: 4 (36 enodes) 34.122 * * [simplify]: Extracting #0: cost 1 inf + 0 34.122 * * [simplify]: Extracting #1: cost 3 inf + 0 34.122 * * [simplify]: Extracting #2: cost 5 inf + 0 34.122 * * [simplify]: Extracting #3: cost 8 inf + 0 34.122 * * [simplify]: Extracting #4: cost 9 inf + 1 34.122 * * [simplify]: Extracting #5: cost 12 inf + 1 34.122 * * [simplify]: Extracting #6: cost 13 inf + 2 34.123 * * [simplify]: Extracting #7: cost 15 inf + 2 34.123 * * [simplify]: Extracting #8: cost 13 inf + 60 34.123 * * [simplify]: Extracting #9: cost 9 inf + 451 34.123 * * [simplify]: Extracting #10: cost 4 inf + 1381 34.123 * * [simplify]: Extracting #11: cost 0 inf + 2653 34.124 * [simplify]: Simplified to (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 34.124 * [simplify]: Simplified (2 2 1) to (λ (x) (/ (- (* (* 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))))) (* (* (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 (hypot 1 x)) 1/2)))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 34.124 * * * * [progress]: [ 211 / 233 ] simplifiying candidate # 34.124 * [simplify]: Simplifying (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 34.124 * * [simplify]: iters left: 6 (9 enodes) 34.127 * * [simplify]: iters left: 5 (31 enodes) 34.132 * * [simplify]: iters left: 4 (33 enodes) 34.137 * * [simplify]: Extracting #0: cost 1 inf + 0 34.137 * * [simplify]: Extracting #1: cost 3 inf + 0 34.137 * * [simplify]: Extracting #2: cost 6 inf + 0 34.137 * * [simplify]: Extracting #3: cost 7 inf + 1 34.137 * * [simplify]: Extracting #4: cost 10 inf + 1 34.137 * * [simplify]: Extracting #5: cost 11 inf + 2 34.137 * * [simplify]: Extracting #6: cost 13 inf + 2 34.137 * * [simplify]: Extracting #7: cost 10 inf + 117 34.137 * * [simplify]: Extracting #8: cost 8 inf + 353 34.137 * * [simplify]: Extracting #9: cost 4 inf + 985 34.138 * * [simplify]: Extracting #10: cost 0 inf + 1897 34.138 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 34.138 * [simplify]: Simplified (2 2 1) to (λ (x) (/ (- (* (* 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))))) (* (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (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)))))))) 34.138 * * * * [progress]: [ 212 / 233 ] simplifiying candidate # 34.138 * * * * [progress]: [ 213 / 233 ] simplifiying candidate # 34.139 * [simplify]: Simplifying (sqrt 1) 34.139 * * [simplify]: iters left: 1 (2 enodes) 34.141 * * [simplify]: Extracting #0: cost 1 inf + 0 34.141 * * [simplify]: Extracting #1: cost 0 inf + 1 34.141 * [simplify]: Simplified to 1 34.141 * [simplify]: Simplified (2 2 1) to (λ (x) (/ (- (* (* 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 (* (+ (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)))))))) 34.141 * * * * [progress]: [ 214 / 233 ] simplifiying candidate # 34.142 * [simplify]: Simplifying (sqrt 1) 34.142 * * [simplify]: iters left: 1 (2 enodes) 34.145 * * [simplify]: Extracting #0: cost 1 inf + 0 34.145 * * [simplify]: Extracting #1: cost 0 inf + 1 34.145 * [simplify]: Simplified to 1 34.145 * [simplify]: Simplified (2 2 1) to (λ (x) (/ (- (* (* 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 (* (+ (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)))))))) 34.145 * * * * [progress]: [ 215 / 233 ] simplifiying candidate # 34.145 * * * * [progress]: [ 216 / 233 ] simplifiying candidate # 34.146 * [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)))) (* (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 34.146 * * [simplify]: iters left: 6 (14 enodes) 34.154 * * [simplify]: iters left: 5 (53 enodes) 34.174 * * [simplify]: iters left: 4 (111 enodes) 34.220 * * [simplify]: iters left: 3 (325 enodes) 34.467 * * [simplify]: Extracting #0: cost 1 inf + 0 34.467 * * [simplify]: Extracting #1: cost 53 inf + 0 34.468 * * [simplify]: Extracting #2: cost 189 inf + 5 34.468 * * [simplify]: Extracting #3: cost 215 inf + 8 34.470 * * [simplify]: Extracting #4: cost 182 inf + 5253 34.476 * * [simplify]: Extracting #5: cost 82 inf + 24988 34.487 * * [simplify]: Extracting #6: cost 13 inf + 42671 34.499 * * [simplify]: Extracting #7: cost 0 inf + 46400 34.514 * [simplify]: Simplified to (+ (- (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) 34.514 * [simplify]: Simplified (2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (pow (* 1 1) 3) (pow (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 3))) (+ (- (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 34.514 * * * * [progress]: [ 217 / 233 ] simplifiying candidate # 34.515 * [simplify]: Simplifying (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 34.515 * * [simplify]: iters left: 6 (10 enodes) 34.520 * * [simplify]: iters left: 5 (31 enodes) 34.531 * * [simplify]: iters left: 4 (50 enodes) 34.549 * * [simplify]: iters left: 3 (61 enodes) 34.565 * * [simplify]: iters left: 2 (71 enodes) 34.578 * * [simplify]: iters left: 1 (77 enodes) 34.588 * * [simplify]: Extracting #0: cost 1 inf + 0 34.588 * * [simplify]: Extracting #1: cost 10 inf + 0 34.588 * * [simplify]: Extracting #2: cost 15 inf + 3 34.588 * * [simplify]: Extracting #3: cost 19 inf + 3 34.588 * * [simplify]: Extracting #4: cost 18 inf + 4 34.588 * * [simplify]: Extracting #5: cost 11 inf + 768 34.589 * * [simplify]: Extracting #6: cost 3 inf + 1792 34.589 * * [simplify]: Extracting #7: cost 0 inf + 2406 34.590 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 34.590 * [simplify]: Simplified (2 2 2) to (λ (x) (/ (- (* (* 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 (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)))))) (- 1/2 (/ 1/2 (hypot 1 x)))))) 34.590 * * * * [progress]: [ 218 / 233 ] simplifiying candidate # 34.590 * [simplify]: Simplifying (* (+ (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))))) 34.591 * * [simplify]: iters left: 6 (15 enodes) 34.595 * * [simplify]: iters left: 5 (59 enodes) 34.609 * * [simplify]: iters left: 4 (140 enodes) 34.649 * * [simplify]: iters left: 3 (405 enodes) 34.886 * * [simplify]: Extracting #0: cost 1 inf + 0 34.886 * * [simplify]: Extracting #1: cost 75 inf + 0 34.887 * * [simplify]: Extracting #2: cost 268 inf + 3 34.888 * * [simplify]: Extracting #3: cost 320 inf + 4 34.890 * * [simplify]: Extracting #4: cost 308 inf + 1489 34.894 * * [simplify]: Extracting #5: cost 247 inf + 16849 34.923 * * [simplify]: Extracting #6: cost 28 inf + 89432 34.971 * * [simplify]: Extracting #7: cost 0 inf + 99059 35.004 * * [simplify]: Extracting #8: cost 0 inf + 99058 35.045 * [simplify]: Simplified to (* (+ 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 3/2 (/ 1/2 (hypot 1 x)))) 35.045 * [simplify]: Simplified (2 2 1) to (λ (x) (/ (- (* (* 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 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 3/2 (/ 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)))))))) 35.045 * * * * [progress]: [ 219 / 233 ] simplifiying candidate # 35.046 * [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))))) 35.046 * * [simplify]: iters left: 6 (12 enodes) 35.053 * * [simplify]: iters left: 5 (45 enodes) 35.072 * * [simplify]: iters left: 4 (111 enodes) 35.117 * * [simplify]: iters left: 3 (292 enodes) 35.292 * * [simplify]: Extracting #0: cost 1 inf + 0 35.293 * * [simplify]: Extracting #1: cost 69 inf + 0 35.294 * * [simplify]: Extracting #2: cost 216 inf + 4 35.295 * * [simplify]: Extracting #3: cost 243 inf + 6 35.299 * * [simplify]: Extracting #4: cost 196 inf + 8038 35.315 * * [simplify]: Extracting #5: cost 52 inf + 41416 35.341 * * [simplify]: Extracting #6: cost 1 inf + 54778 35.368 * * [simplify]: Extracting #7: cost 0 inf + 55076 35.395 * [simplify]: Simplified to (* (- 1/2 (/ 1/2 (hypot 1 x))) (+ 3/2 (/ 1/2 (hypot 1 x)))) 35.395 * [simplify]: Simplified (2 2 1) to (λ (x) (/ (- (* (* 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))))) (/ (* (- 1/2 (/ 1/2 (hypot 1 x))) (+ 3/2 (/ 1/2 (hypot 1 x)))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 35.395 * * * * [progress]: [ 220 / 233 ] simplifiying candidate #real (real->posit16 (* (+ 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)))))))))> 35.395 * * * * [progress]: [ 221 / 233 ] simplifiying candidate # 35.396 * * * * [progress]: [ 222 / 233 ] simplifiying candidate # 35.396 * [simplify]: Simplifying (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 35.396 * * [simplify]: iters left: 6 (7 enodes) 35.401 * * [simplify]: iters left: 5 (27 enodes) 35.410 * * [simplify]: iters left: 4 (33 enodes) 35.419 * * [simplify]: iters left: 3 (37 enodes) 35.429 * * [simplify]: Extracting #0: cost 1 inf + 0 35.429 * * [simplify]: Extracting #1: cost 5 inf + 0 35.429 * * [simplify]: Extracting #2: cost 9 inf + 1 35.429 * * [simplify]: Extracting #3: cost 11 inf + 2 35.429 * * [simplify]: Extracting #4: cost 7 inf + 215 35.430 * * [simplify]: Extracting #5: cost 2 inf + 822 35.430 * * [simplify]: Extracting #6: cost 0 inf + 1057 35.431 * [simplify]: Simplified to (+ (/ 1/2 (hypot 1 x)) 1/2) 35.431 * [simplify]: Simplified (2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (+ (/ 1/2 (hypot 1 x)) 1/2))))) 35.431 * * * * [progress]: [ 223 / 233 ] simplifiying candidate # 35.431 * [simplify]: Simplifying (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 35.431 * * [simplify]: iters left: 6 (7 enodes) 35.436 * * [simplify]: iters left: 5 (27 enodes) 35.449 * * [simplify]: iters left: 4 (33 enodes) 35.453 * * [simplify]: iters left: 3 (37 enodes) 35.459 * * [simplify]: Extracting #0: cost 1 inf + 0 35.459 * * [simplify]: Extracting #1: cost 5 inf + 0 35.459 * * [simplify]: Extracting #2: cost 9 inf + 1 35.459 * * [simplify]: Extracting #3: cost 11 inf + 2 35.460 * * [simplify]: Extracting #4: cost 7 inf + 215 35.460 * * [simplify]: Extracting #5: cost 2 inf + 822 35.460 * * [simplify]: Extracting #6: cost 0 inf + 1057 35.460 * [simplify]: Simplified to (+ (/ 1/2 (hypot 1 x)) 1/2) 35.461 * [simplify]: Simplified (2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (+ (/ 1/2 (hypot 1 x)) 1/2))))) 35.461 * * * * [progress]: [ 224 / 233 ] simplifiying candidate # 35.461 * [simplify]: Simplifying (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 35.461 * * [simplify]: iters left: 6 (7 enodes) 35.464 * * [simplify]: iters left: 5 (27 enodes) 35.468 * * [simplify]: iters left: 4 (33 enodes) 35.473 * * [simplify]: iters left: 3 (37 enodes) 35.478 * * [simplify]: Extracting #0: cost 1 inf + 0 35.478 * * [simplify]: Extracting #1: cost 5 inf + 0 35.478 * * [simplify]: Extracting #2: cost 9 inf + 1 35.478 * * [simplify]: Extracting #3: cost 11 inf + 2 35.478 * * [simplify]: Extracting #4: cost 7 inf + 215 35.478 * * [simplify]: Extracting #5: cost 2 inf + 822 35.479 * * [simplify]: Extracting #6: cost 0 inf + 1057 35.479 * [simplify]: Simplified to (+ (/ 1/2 (hypot 1 x)) 1/2) 35.479 * [simplify]: Simplified (2 2 2 2) to (λ (x) (/ (- (* (* 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1 1) (+ (/ 1/2 (hypot 1 x)) 1/2))))) 35.479 * * * * [progress]: [ 225 / 233 ] simplifiying candidate # 35.479 * [simplify]: Simplifying (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 35.479 * * [simplify]: iters left: 6 (7 enodes) 35.482 * * [simplify]: iters left: 5 (27 enodes) 35.486 * * [simplify]: iters left: 4 (33 enodes) 35.495 * * [simplify]: iters left: 3 (37 enodes) 35.506 * * [simplify]: Extracting #0: cost 1 inf + 0 35.506 * * [simplify]: Extracting #1: cost 5 inf + 0 35.506 * * [simplify]: Extracting #2: cost 9 inf + 1 35.506 * * [simplify]: Extracting #3: cost 11 inf + 2 35.506 * * [simplify]: Extracting #4: cost 7 inf + 215 35.507 * * [simplify]: Extracting #5: cost 2 inf + 822 35.507 * * [simplify]: Extracting #6: cost 0 inf + 1057 35.508 * [simplify]: Simplified to (+ (/ 1/2 (hypot 1 x)) 1/2) 35.508 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 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) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 35.508 * * * * [progress]: [ 226 / 233 ] simplifiying candidate # 35.508 * [simplify]: Simplifying (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 35.508 * * [simplify]: iters left: 6 (7 enodes) 35.513 * * [simplify]: iters left: 5 (27 enodes) 35.522 * * [simplify]: iters left: 4 (33 enodes) 35.532 * * [simplify]: iters left: 3 (37 enodes) 35.542 * * [simplify]: Extracting #0: cost 1 inf + 0 35.542 * * [simplify]: Extracting #1: cost 5 inf + 0 35.542 * * [simplify]: Extracting #2: cost 9 inf + 1 35.542 * * [simplify]: Extracting #3: cost 11 inf + 2 35.542 * * [simplify]: Extracting #4: cost 7 inf + 215 35.542 * * [simplify]: Extracting #5: cost 2 inf + 822 35.542 * * [simplify]: Extracting #6: cost 0 inf + 1057 35.543 * [simplify]: Simplified to (+ (/ 1/2 (hypot 1 x)) 1/2) 35.543 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 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) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 35.543 * * * * [progress]: [ 227 / 233 ] simplifiying candidate # 35.543 * [simplify]: Simplifying (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 35.543 * * [simplify]: iters left: 6 (7 enodes) 35.545 * * [simplify]: iters left: 5 (27 enodes) 35.550 * * [simplify]: iters left: 4 (33 enodes) 35.555 * * [simplify]: iters left: 3 (37 enodes) 35.562 * * [simplify]: Extracting #0: cost 1 inf + 0 35.562 * * [simplify]: Extracting #1: cost 5 inf + 0 35.563 * * [simplify]: Extracting #2: cost 9 inf + 1 35.563 * * [simplify]: Extracting #3: cost 11 inf + 2 35.563 * * [simplify]: Extracting #4: cost 7 inf + 215 35.563 * * [simplify]: Extracting #5: cost 2 inf + 822 35.563 * * [simplify]: Extracting #6: cost 0 inf + 1057 35.563 * [simplify]: Simplified to (+ (/ 1/2 (hypot 1 x)) 1/2) 35.563 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 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) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 35.564 * * * * [progress]: [ 228 / 233 ] simplifiying candidate # 35.564 * [simplify]: Simplifying (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 35.564 * * [simplify]: iters left: 6 (7 enodes) 35.566 * * [simplify]: iters left: 5 (27 enodes) 35.571 * * [simplify]: iters left: 4 (33 enodes) 35.576 * * [simplify]: iters left: 3 (37 enodes) 35.582 * * [simplify]: Extracting #0: cost 1 inf + 0 35.582 * * [simplify]: Extracting #1: cost 5 inf + 0 35.582 * * [simplify]: Extracting #2: cost 9 inf + 1 35.582 * * [simplify]: Extracting #3: cost 11 inf + 2 35.582 * * [simplify]: Extracting #4: cost 7 inf + 215 35.582 * * [simplify]: Extracting #5: cost 2 inf + 822 35.582 * * [simplify]: Extracting #6: cost 0 inf + 1057 35.582 * [simplify]: Simplified to (+ (/ 1/2 (hypot 1 x)) 1/2) 35.582 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (+ (/ 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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 35.583 * * * * [progress]: [ 229 / 233 ] simplifiying candidate # 35.583 * [simplify]: Simplifying (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 35.583 * * [simplify]: iters left: 6 (7 enodes) 35.585 * * [simplify]: iters left: 5 (27 enodes) 35.590 * * [simplify]: iters left: 4 (33 enodes) 35.595 * * [simplify]: iters left: 3 (37 enodes) 35.601 * * [simplify]: Extracting #0: cost 1 inf + 0 35.601 * * [simplify]: Extracting #1: cost 5 inf + 0 35.601 * * [simplify]: Extracting #2: cost 9 inf + 1 35.601 * * [simplify]: Extracting #3: cost 11 inf + 2 35.601 * * [simplify]: Extracting #4: cost 7 inf + 215 35.601 * * [simplify]: Extracting #5: cost 2 inf + 822 35.601 * * [simplify]: Extracting #6: cost 0 inf + 1057 35.601 * [simplify]: Simplified to (+ (/ 1/2 (hypot 1 x)) 1/2) 35.601 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (+ (/ 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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 35.602 * * * * [progress]: [ 230 / 233 ] simplifiying candidate # 35.602 * [simplify]: Simplifying (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 35.602 * * [simplify]: iters left: 6 (7 enodes) 35.604 * * [simplify]: iters left: 5 (27 enodes) 35.609 * * [simplify]: iters left: 4 (33 enodes) 35.614 * * [simplify]: iters left: 3 (37 enodes) 35.619 * * [simplify]: Extracting #0: cost 1 inf + 0 35.619 * * [simplify]: Extracting #1: cost 5 inf + 0 35.619 * * [simplify]: Extracting #2: cost 9 inf + 1 35.619 * * [simplify]: Extracting #3: cost 11 inf + 2 35.619 * * [simplify]: Extracting #4: cost 7 inf + 215 35.620 * * [simplify]: Extracting #5: cost 2 inf + 822 35.620 * * [simplify]: Extracting #6: cost 0 inf + 1057 35.620 * [simplify]: Simplified to (+ (/ 1/2 (hypot 1 x)) 1/2) 35.620 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- (* (* 1 1) (* 1 1)) (* (+ (/ 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))) (+ (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 35.620 * * * * [progress]: [ 231 / 233 ] simplifiying candidate # 35.620 * [simplify]: Simplifying (* (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 35.620 * * [simplify]: iters left: 6 (12 enodes) 35.624 * * [simplify]: iters left: 5 (51 enodes) 35.640 * * [simplify]: iters left: 4 (87 enodes) 35.676 * * [simplify]: iters left: 3 (178 enodes) 35.755 * * [simplify]: iters left: 2 (337 enodes) 35.858 * * [simplify]: iters left: 1 (473 enodes) 35.957 * * [simplify]: Extracting #0: cost 1 inf + 0 35.957 * * [simplify]: Extracting #1: cost 18 inf + 0 35.957 * * [simplify]: Extracting #2: cost 46 inf + 2 35.958 * * [simplify]: Extracting #3: cost 57 inf + 3 35.958 * * [simplify]: Extracting #4: cost 45 inf + 1556 35.962 * * [simplify]: Extracting #5: cost 19 inf + 7849 35.966 * * [simplify]: Extracting #6: cost 1 inf + 12583 35.970 * * [simplify]: Extracting #7: cost 0 inf + 12882 35.974 * [simplify]: Simplified to (* (+ (/ 1/2 (hypot 1 x)) 3/2) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) 35.974 * [simplify]: Simplified (2 2) to (λ (x) (/ (- (* (* 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))))) (* (+ (/ 1/2 (hypot 1 x)) 3/2) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 35.975 * * * * [progress]: [ 232 / 233 ] simplifiying candidate # 35.975 * [simplify]: Simplifying (* (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 35.975 * * [simplify]: iters left: 6 (12 enodes) 35.979 * * [simplify]: iters left: 5 (51 enodes) 35.990 * * [simplify]: iters left: 4 (87 enodes) 36.016 * * [simplify]: iters left: 3 (178 enodes) 36.095 * * [simplify]: iters left: 2 (337 enodes) 36.283 * * [simplify]: iters left: 1 (473 enodes) 36.399 * * [simplify]: Extracting #0: cost 1 inf + 0 36.399 * * [simplify]: Extracting #1: cost 18 inf + 0 36.400 * * [simplify]: Extracting #2: cost 46 inf + 2 36.400 * * [simplify]: Extracting #3: cost 57 inf + 3 36.401 * * [simplify]: Extracting #4: cost 45 inf + 1556 36.404 * * [simplify]: Extracting #5: cost 19 inf + 7849 36.411 * * [simplify]: Extracting #6: cost 1 inf + 12583 36.417 * * [simplify]: Extracting #7: cost 0 inf + 12882 36.421 * [simplify]: Simplified to (* (+ (/ 1/2 (hypot 1 x)) 3/2) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) 36.421 * [simplify]: Simplified (2 2) to (λ (x) (/ (- (* (* 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))))) (* (+ (/ 1/2 (hypot 1 x)) 3/2) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 36.421 * * * * [progress]: [ 233 / 233 ] simplifiying candidate # 36.421 * [simplify]: Simplifying (* (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 36.422 * * [simplify]: iters left: 6 (12 enodes) 36.426 * * [simplify]: iters left: 5 (51 enodes) 36.436 * * [simplify]: iters left: 4 (87 enodes) 36.468 * * [simplify]: iters left: 3 (178 enodes) 36.543 * * [simplify]: iters left: 2 (337 enodes) 36.659 * * [simplify]: iters left: 1 (473 enodes) 36.777 * * [simplify]: Extracting #0: cost 1 inf + 0 36.777 * * [simplify]: Extracting #1: cost 18 inf + 0 36.777 * * [simplify]: Extracting #2: cost 46 inf + 2 36.778 * * [simplify]: Extracting #3: cost 57 inf + 3 36.778 * * [simplify]: Extracting #4: cost 45 inf + 1556 36.780 * * [simplify]: Extracting #5: cost 19 inf + 7849 36.783 * * [simplify]: Extracting #6: cost 1 inf + 12583 36.787 * * [simplify]: Extracting #7: cost 0 inf + 12882 36.796 * [simplify]: Simplified to (* (+ (/ 1/2 (hypot 1 x)) 3/2) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) 36.796 * [simplify]: Simplified (2 2) to (λ (x) (/ (- (* (* 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))))) (* (+ (/ 1/2 (hypot 1 x)) 3/2) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 36.796 * * * [progress]: adding candidates to table 39.666 * * [progress]: iteration 4 / 4 39.666 * * * [progress]: picking best candidate 39.692 * * * * [pick]: Picked # 39.692 * * * [progress]: localizing error 39.773 * * * [progress]: generating rewritten candidates 39.773 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 39.820 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 39.856 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 39.921 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 40.242 * * * [progress]: generating series expansions 40.243 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 40.243 * [backup-simplify]: Simplify (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 40.243 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in (x) around 0 40.243 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 40.243 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 40.243 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 40.243 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 40.243 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 40.243 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 40.243 * [taylor]: Taking taylor expansion of 1/2 in x 40.243 * [backup-simplify]: Simplify 1/2 into 1/2 40.243 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 40.243 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 40.243 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 40.243 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 40.243 * [taylor]: Taking taylor expansion of 1/2 in x 40.243 * [backup-simplify]: Simplify 1/2 into 1/2 40.244 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 40.244 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 40.244 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 40.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 40.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 40.245 * [backup-simplify]: Simplify (+ 0 0) into 0 40.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.246 * [taylor]: Taking taylor expansion of 1 in x 40.246 * [backup-simplify]: Simplify 1 into 1 40.246 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 40.246 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 40.246 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 40.247 * [backup-simplify]: Simplify (+ 0 0) into 0 40.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.247 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 40.247 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 40.247 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 40.247 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 40.247 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 40.247 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 40.247 * [taylor]: Taking taylor expansion of 1/2 in x 40.247 * [backup-simplify]: Simplify 1/2 into 1/2 40.247 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 40.247 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 40.247 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 40.247 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 40.247 * [taylor]: Taking taylor expansion of 1/2 in x 40.247 * [backup-simplify]: Simplify 1/2 into 1/2 40.248 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 40.248 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 40.248 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 40.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 40.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 40.248 * [backup-simplify]: Simplify (+ 0 0) into 0 40.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.249 * [taylor]: Taking taylor expansion of 1 in x 40.249 * [backup-simplify]: Simplify 1 into 1 40.249 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 40.249 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 40.249 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 40.249 * [backup-simplify]: Simplify (+ 0 0) into 0 40.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.250 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 40.250 * [backup-simplify]: Simplify 0 into 0 40.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 40.251 * [backup-simplify]: Simplify (+ 0 0) into 0 40.251 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.252 * [backup-simplify]: Simplify (+ 0 0) into 0 40.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.252 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.252 * [backup-simplify]: Simplify 0 into 0 40.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 40.254 * [backup-simplify]: Simplify (+ 0 0) into 0 40.254 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.254 * [backup-simplify]: Simplify (+ 0 0) into 0 40.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.255 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.255 * [backup-simplify]: Simplify 0 into 0 40.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 40.257 * [backup-simplify]: Simplify (+ 0 0) into 0 40.257 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.258 * [backup-simplify]: Simplify (+ 0 0) into 0 40.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.259 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.259 * [backup-simplify]: Simplify 0 into 0 40.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.261 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 40.261 * [backup-simplify]: Simplify (+ 0 0) into 0 40.261 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.262 * [backup-simplify]: Simplify (+ 0 0) into 0 40.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.263 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.263 * [backup-simplify]: Simplify 0 into 0 40.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.264 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 40.265 * [backup-simplify]: Simplify (+ 0 0) into 0 40.265 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.265 * [backup-simplify]: Simplify (+ 0 0) into 0 40.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.267 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.267 * [backup-simplify]: Simplify 0 into 0 40.267 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 40.267 * [backup-simplify]: Simplify (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) 40.267 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in (x) around 0 40.267 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 40.267 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 40.267 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 40.267 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 40.267 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 40.267 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 40.267 * [taylor]: Taking taylor expansion of 1/2 in x 40.267 * [backup-simplify]: Simplify 1/2 into 1/2 40.267 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 40.267 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 40.267 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 40.268 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 40.268 * [taylor]: Taking taylor expansion of 1/2 in x 40.268 * [backup-simplify]: Simplify 1/2 into 1/2 40.268 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 40.268 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 40.268 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 40.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.269 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 40.269 * [backup-simplify]: Simplify (+ 0 0) into 0 40.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.270 * [taylor]: Taking taylor expansion of 1 in x 40.270 * [backup-simplify]: Simplify 1 into 1 40.270 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 40.270 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) 40.270 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) 40.271 * [backup-simplify]: Simplify (+ 0 0) into 0 40.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.271 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 40.272 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 40.272 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 40.272 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 40.272 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 40.272 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 40.272 * [taylor]: Taking taylor expansion of 1/2 in x 40.272 * [backup-simplify]: Simplify 1/2 into 1/2 40.272 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 40.272 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 40.272 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 40.272 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 40.272 * [taylor]: Taking taylor expansion of 1/2 in x 40.272 * [backup-simplify]: Simplify 1/2 into 1/2 40.272 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 40.272 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 40.272 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 40.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.273 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 40.274 * [backup-simplify]: Simplify (+ 0 0) into 0 40.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.274 * [taylor]: Taking taylor expansion of 1 in x 40.274 * [backup-simplify]: Simplify 1 into 1 40.274 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 40.274 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) 40.274 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) 40.275 * [backup-simplify]: Simplify (+ 0 0) into 0 40.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.276 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) 40.276 * [backup-simplify]: Simplify 0 into 0 40.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))) into 0 40.277 * [backup-simplify]: Simplify (+ 0 0) into 0 40.278 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.279 * [backup-simplify]: Simplify (+ 0 0) into 0 40.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.280 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.280 * [backup-simplify]: Simplify 0 into 0 40.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.282 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))) into 0 40.283 * [backup-simplify]: Simplify (+ 0 0) into 0 40.284 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.284 * [backup-simplify]: Simplify (+ 0 0) into 0 40.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.285 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.285 * [backup-simplify]: Simplify 0 into 0 40.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.286 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))) into 0 40.286 * [backup-simplify]: Simplify (+ 0 0) into 0 40.287 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.287 * [backup-simplify]: Simplify (+ 0 0) into 0 40.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.288 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.288 * [backup-simplify]: Simplify 0 into 0 40.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))))) into 0 40.290 * [backup-simplify]: Simplify (+ 0 0) into 0 40.291 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.291 * [backup-simplify]: Simplify (+ 0 0) into 0 40.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.292 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.292 * [backup-simplify]: Simplify 0 into 0 40.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.298 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))))) into 0 40.299 * [backup-simplify]: Simplify (+ 0 0) into 0 40.299 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.300 * [backup-simplify]: Simplify (+ 0 0) into 0 40.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.301 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.301 * [backup-simplify]: Simplify 0 into 0 40.301 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 (/ 1 x))))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 40.301 * [backup-simplify]: Simplify (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) 40.301 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in (x) around 0 40.301 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 40.301 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 40.302 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 40.302 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 40.302 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 40.302 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 40.302 * [taylor]: Taking taylor expansion of 1/2 in x 40.302 * [backup-simplify]: Simplify 1/2 into 1/2 40.302 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 40.302 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 40.302 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 40.302 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 40.302 * [taylor]: Taking taylor expansion of 1/2 in x 40.302 * [backup-simplify]: Simplify 1/2 into 1/2 40.302 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 40.302 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 40.302 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 40.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.302 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 40.303 * [backup-simplify]: Simplify (+ 0 0) into 0 40.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.303 * [taylor]: Taking taylor expansion of 1 in x 40.303 * [backup-simplify]: Simplify 1 into 1 40.303 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 40.303 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) 40.303 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) 40.303 * [backup-simplify]: Simplify (+ 0 0) into 0 40.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.304 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 40.304 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 40.304 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 40.304 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 40.304 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 40.304 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 40.304 * [taylor]: Taking taylor expansion of 1/2 in x 40.304 * [backup-simplify]: Simplify 1/2 into 1/2 40.304 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 40.304 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 40.304 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 40.304 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 40.304 * [taylor]: Taking taylor expansion of 1/2 in x 40.304 * [backup-simplify]: Simplify 1/2 into 1/2 40.304 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 40.304 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 40.304 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 40.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.305 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 40.305 * [backup-simplify]: Simplify (+ 0 0) into 0 40.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.305 * [taylor]: Taking taylor expansion of 1 in x 40.305 * [backup-simplify]: Simplify 1 into 1 40.305 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 40.305 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) 40.306 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) 40.306 * [backup-simplify]: Simplify (+ 0 0) into 0 40.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.306 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) 40.306 * [backup-simplify]: Simplify 0 into 0 40.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.307 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))) into 0 40.307 * [backup-simplify]: Simplify (+ 0 0) into 0 40.308 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.308 * [backup-simplify]: Simplify (+ 0 0) into 0 40.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.309 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.309 * [backup-simplify]: Simplify 0 into 0 40.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.310 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))) into 0 40.310 * [backup-simplify]: Simplify (+ 0 0) into 0 40.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.311 * [backup-simplify]: Simplify (+ 0 0) into 0 40.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.312 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.312 * [backup-simplify]: Simplify 0 into 0 40.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.315 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))) into 0 40.315 * [backup-simplify]: Simplify (+ 0 0) into 0 40.316 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.317 * [backup-simplify]: Simplify (+ 0 0) into 0 40.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.319 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.319 * [backup-simplify]: Simplify 0 into 0 40.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))))) into 0 40.322 * [backup-simplify]: Simplify (+ 0 0) into 0 40.323 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.324 * [backup-simplify]: Simplify (+ 0 0) into 0 40.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.326 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.326 * [backup-simplify]: Simplify 0 into 0 40.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.329 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))))) into 0 40.330 * [backup-simplify]: Simplify (+ 0 0) into 0 40.331 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.332 * [backup-simplify]: Simplify (+ 0 0) into 0 40.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.334 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.334 * [backup-simplify]: Simplify 0 into 0 40.334 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 (/ 1 (- x)))))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 40.334 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 40.335 * [backup-simplify]: Simplify (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 40.335 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in (x) around 0 40.335 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 40.335 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 40.335 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 40.335 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 40.335 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 40.335 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 40.335 * [taylor]: Taking taylor expansion of 1/2 in x 40.335 * [backup-simplify]: Simplify 1/2 into 1/2 40.335 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 40.335 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 40.335 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 40.335 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 40.335 * [taylor]: Taking taylor expansion of 1/2 in x 40.335 * [backup-simplify]: Simplify 1/2 into 1/2 40.335 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 40.335 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 40.336 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 40.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 40.336 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 40.337 * [backup-simplify]: Simplify (+ 0 0) into 0 40.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.337 * [taylor]: Taking taylor expansion of 1 in x 40.337 * [backup-simplify]: Simplify 1 into 1 40.337 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 40.337 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 40.337 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 40.338 * [backup-simplify]: Simplify (+ 0 0) into 0 40.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.339 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 40.339 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 40.339 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 40.339 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 40.339 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 40.339 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 40.339 * [taylor]: Taking taylor expansion of 1/2 in x 40.339 * [backup-simplify]: Simplify 1/2 into 1/2 40.339 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 40.339 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 40.339 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 40.339 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 40.339 * [taylor]: Taking taylor expansion of 1/2 in x 40.339 * [backup-simplify]: Simplify 1/2 into 1/2 40.339 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 40.339 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 40.339 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 40.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 40.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 40.341 * [backup-simplify]: Simplify (+ 0 0) into 0 40.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.341 * [taylor]: Taking taylor expansion of 1 in x 40.341 * [backup-simplify]: Simplify 1 into 1 40.341 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 40.341 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 40.341 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 40.342 * [backup-simplify]: Simplify (+ 0 0) into 0 40.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.343 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 40.343 * [backup-simplify]: Simplify 0 into 0 40.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 40.344 * [backup-simplify]: Simplify (+ 0 0) into 0 40.345 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.346 * [backup-simplify]: Simplify (+ 0 0) into 0 40.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.347 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.347 * [backup-simplify]: Simplify 0 into 0 40.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.348 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 40.348 * [backup-simplify]: Simplify (+ 0 0) into 0 40.349 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.349 * [backup-simplify]: Simplify (+ 0 0) into 0 40.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.350 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.350 * [backup-simplify]: Simplify 0 into 0 40.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 40.351 * [backup-simplify]: Simplify (+ 0 0) into 0 40.352 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.352 * [backup-simplify]: Simplify (+ 0 0) into 0 40.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.353 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.353 * [backup-simplify]: Simplify 0 into 0 40.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 40.355 * [backup-simplify]: Simplify (+ 0 0) into 0 40.356 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.356 * [backup-simplify]: Simplify (+ 0 0) into 0 40.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.357 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.357 * [backup-simplify]: Simplify 0 into 0 40.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.359 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 40.359 * [backup-simplify]: Simplify (+ 0 0) into 0 40.359 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.360 * [backup-simplify]: Simplify (+ 0 0) into 0 40.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.361 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.361 * [backup-simplify]: Simplify 0 into 0 40.361 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 40.361 * [backup-simplify]: Simplify (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) 40.361 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in (x) around 0 40.361 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 40.361 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 40.361 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 40.361 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 40.361 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 40.361 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 40.361 * [taylor]: Taking taylor expansion of 1/2 in x 40.361 * [backup-simplify]: Simplify 1/2 into 1/2 40.361 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 40.361 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 40.361 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 40.362 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 40.362 * [taylor]: Taking taylor expansion of 1/2 in x 40.362 * [backup-simplify]: Simplify 1/2 into 1/2 40.362 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 40.362 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 40.362 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 40.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.362 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 40.362 * [backup-simplify]: Simplify (+ 0 0) into 0 40.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.363 * [taylor]: Taking taylor expansion of 1 in x 40.363 * [backup-simplify]: Simplify 1 into 1 40.363 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 40.363 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) 40.363 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) 40.363 * [backup-simplify]: Simplify (+ 0 0) into 0 40.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.364 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 40.364 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 40.364 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 40.364 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 40.364 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 40.364 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 40.364 * [taylor]: Taking taylor expansion of 1/2 in x 40.364 * [backup-simplify]: Simplify 1/2 into 1/2 40.364 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 40.364 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 40.364 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 40.364 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 40.364 * [taylor]: Taking taylor expansion of 1/2 in x 40.364 * [backup-simplify]: Simplify 1/2 into 1/2 40.364 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 40.364 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 40.364 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 40.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 40.365 * [backup-simplify]: Simplify (+ 0 0) into 0 40.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.365 * [taylor]: Taking taylor expansion of 1 in x 40.365 * [backup-simplify]: Simplify 1 into 1 40.365 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 40.365 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) 40.365 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) 40.366 * [backup-simplify]: Simplify (+ 0 0) into 0 40.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.366 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) 40.366 * [backup-simplify]: Simplify 0 into 0 40.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.367 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))) into 0 40.367 * [backup-simplify]: Simplify (+ 0 0) into 0 40.368 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.368 * [backup-simplify]: Simplify (+ 0 0) into 0 40.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.369 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.369 * [backup-simplify]: Simplify 0 into 0 40.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.370 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))) into 0 40.370 * [backup-simplify]: Simplify (+ 0 0) into 0 40.370 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.371 * [backup-simplify]: Simplify (+ 0 0) into 0 40.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.372 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.372 * [backup-simplify]: Simplify 0 into 0 40.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.373 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))) into 0 40.373 * [backup-simplify]: Simplify (+ 0 0) into 0 40.374 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.374 * [backup-simplify]: Simplify (+ 0 0) into 0 40.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.375 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.375 * [backup-simplify]: Simplify 0 into 0 40.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.377 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))))) into 0 40.378 * [backup-simplify]: Simplify (+ 0 0) into 0 40.379 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.379 * [backup-simplify]: Simplify (+ 0 0) into 0 40.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.382 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.382 * [backup-simplify]: Simplify 0 into 0 40.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.386 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))))) into 0 40.386 * [backup-simplify]: Simplify (+ 0 0) into 0 40.387 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.388 * [backup-simplify]: Simplify (+ 0 0) into 0 40.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.390 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.390 * [backup-simplify]: Simplify 0 into 0 40.391 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 (/ 1 x))))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 40.391 * [backup-simplify]: Simplify (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) 40.391 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in (x) around 0 40.391 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 40.391 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 40.391 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 40.391 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 40.391 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 40.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 40.391 * [taylor]: Taking taylor expansion of 1/2 in x 40.391 * [backup-simplify]: Simplify 1/2 into 1/2 40.391 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 40.391 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 40.391 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 40.391 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 40.391 * [taylor]: Taking taylor expansion of 1/2 in x 40.391 * [backup-simplify]: Simplify 1/2 into 1/2 40.392 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 40.392 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 40.392 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 40.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.393 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 40.393 * [backup-simplify]: Simplify (+ 0 0) into 0 40.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.393 * [taylor]: Taking taylor expansion of 1 in x 40.393 * [backup-simplify]: Simplify 1 into 1 40.394 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 40.394 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) 40.394 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) 40.394 * [backup-simplify]: Simplify (+ 0 0) into 0 40.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.395 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 40.395 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 40.395 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 40.395 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 40.395 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 40.395 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 40.395 * [taylor]: Taking taylor expansion of 1/2 in x 40.395 * [backup-simplify]: Simplify 1/2 into 1/2 40.395 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 40.395 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 40.395 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 40.396 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 40.396 * [taylor]: Taking taylor expansion of 1/2 in x 40.396 * [backup-simplify]: Simplify 1/2 into 1/2 40.396 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 40.396 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 40.396 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 40.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.397 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 40.397 * [backup-simplify]: Simplify (+ 0 0) into 0 40.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.397 * [taylor]: Taking taylor expansion of 1 in x 40.397 * [backup-simplify]: Simplify 1 into 1 40.398 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 40.398 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) 40.398 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) 40.398 * [backup-simplify]: Simplify (+ 0 0) into 0 40.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.399 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) 40.399 * [backup-simplify]: Simplify 0 into 0 40.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.401 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))) into 0 40.401 * [backup-simplify]: Simplify (+ 0 0) into 0 40.402 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.402 * [backup-simplify]: Simplify (+ 0 0) into 0 40.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.404 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.404 * [backup-simplify]: Simplify 0 into 0 40.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.405 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))) into 0 40.406 * [backup-simplify]: Simplify (+ 0 0) into 0 40.407 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.407 * [backup-simplify]: Simplify (+ 0 0) into 0 40.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.409 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.409 * [backup-simplify]: Simplify 0 into 0 40.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.415 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))) into 0 40.416 * [backup-simplify]: Simplify (+ 0 0) into 0 40.417 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.417 * [backup-simplify]: Simplify (+ 0 0) into 0 40.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.419 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.419 * [backup-simplify]: Simplify 0 into 0 40.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.422 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))))) into 0 40.422 * [backup-simplify]: Simplify (+ 0 0) into 0 40.423 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.424 * [backup-simplify]: Simplify (+ 0 0) into 0 40.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.426 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.426 * [backup-simplify]: Simplify 0 into 0 40.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.428 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))))) into 0 40.429 * [backup-simplify]: Simplify (+ 0 0) into 0 40.430 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.430 * [backup-simplify]: Simplify (+ 0 0) into 0 40.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.433 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.433 * [backup-simplify]: Simplify 0 into 0 40.433 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 (/ 1 (- x)))))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 40.433 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 40.433 * [backup-simplify]: Simplify (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) into (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 40.433 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 40.433 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 40.433 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 40.434 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 40.434 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 40.434 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 40.434 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 40.434 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 40.434 * [taylor]: Taking taylor expansion of 1/2 in x 40.434 * [backup-simplify]: Simplify 1/2 into 1/2 40.434 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 40.434 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 40.434 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 40.434 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 40.434 * [taylor]: Taking taylor expansion of 1/2 in x 40.434 * [backup-simplify]: Simplify 1/2 into 1/2 40.434 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 40.434 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 40.434 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 40.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 40.435 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 40.436 * [backup-simplify]: Simplify (+ 0 0) into 0 40.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.436 * [taylor]: Taking taylor expansion of 1 in x 40.436 * [backup-simplify]: Simplify 1 into 1 40.436 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 40.436 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 40.437 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 40.437 * [backup-simplify]: Simplify (+ 0 0) into 0 40.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.438 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 40.438 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 40.438 * [taylor]: Taking taylor expansion of 1/2 in x 40.438 * [backup-simplify]: Simplify 1/2 into 1/2 40.438 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 40.438 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 40.438 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 40.438 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 40.438 * [taylor]: Taking taylor expansion of 1/2 in x 40.438 * [backup-simplify]: Simplify 1/2 into 1/2 40.438 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 40.438 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 40.438 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 40.438 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 40.438 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 40.438 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 40.438 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 40.438 * [taylor]: Taking taylor expansion of 1/2 in x 40.438 * [backup-simplify]: Simplify 1/2 into 1/2 40.438 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 40.438 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 40.438 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 40.438 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 40.439 * [taylor]: Taking taylor expansion of 1/2 in x 40.439 * [backup-simplify]: Simplify 1/2 into 1/2 40.439 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 40.439 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 40.439 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 40.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 40.440 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 40.440 * [backup-simplify]: Simplify (+ 0 0) into 0 40.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.440 * [taylor]: Taking taylor expansion of 1 in x 40.440 * [backup-simplify]: Simplify 1 into 1 40.440 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 40.441 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 40.441 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 40.441 * [backup-simplify]: Simplify (+ 0 0) into 0 40.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.442 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 40.442 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 40.442 * [taylor]: Taking taylor expansion of 1/2 in x 40.442 * [backup-simplify]: Simplify 1/2 into 1/2 40.442 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 40.442 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 40.442 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 40.442 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 40.442 * [taylor]: Taking taylor expansion of 1/2 in x 40.442 * [backup-simplify]: Simplify 1/2 into 1/2 40.443 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 40.443 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 40.443 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) 40.443 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) into (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 40.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 40.444 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 40.444 * [backup-simplify]: Simplify (+ 0 0) into 0 40.445 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) into 0 40.445 * [backup-simplify]: Simplify 0 into 0 40.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.446 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 40.446 * [backup-simplify]: Simplify (+ 0 0) into 0 40.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.447 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 40.448 * [backup-simplify]: Simplify (+ 0 0) into 0 40.449 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.449 * [backup-simplify]: Simplify (+ 0 0) into 0 40.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.450 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.451 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.451 * [backup-simplify]: Simplify 0 into 0 40.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.453 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 40.453 * [backup-simplify]: Simplify (+ 0 0) into 0 40.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.454 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 40.455 * [backup-simplify]: Simplify (+ 0 0) into 0 40.456 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.456 * [backup-simplify]: Simplify (+ 0 0) into 0 40.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.458 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.459 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))))) into 0 40.459 * [backup-simplify]: Simplify 0 into 0 40.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 40.461 * [backup-simplify]: Simplify (+ 0 0) into 0 40.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.463 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 40.463 * [backup-simplify]: Simplify (+ 0 0) into 0 40.464 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.465 * [backup-simplify]: Simplify (+ 0 0) into 0 40.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.467 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.468 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))))) into 0 40.468 * [backup-simplify]: Simplify 0 into 0 40.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.471 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 40.471 * [backup-simplify]: Simplify (+ 0 0) into 0 40.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.474 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 40.474 * [backup-simplify]: Simplify (+ 0 0) into 0 40.475 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.475 * [backup-simplify]: Simplify (+ 0 0) into 0 40.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.477 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.479 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))))))) into 0 40.479 * [backup-simplify]: Simplify 0 into 0 40.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.482 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 40.482 * [backup-simplify]: Simplify (+ 0 0) into 0 40.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.485 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 40.485 * [backup-simplify]: Simplify (+ 0 0) into 0 40.487 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.487 * [backup-simplify]: Simplify (+ 0 0) into 0 40.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.489 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.491 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))))))) into 0 40.491 * [backup-simplify]: Simplify 0 into 0 40.492 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) 40.492 * [backup-simplify]: Simplify (/ (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))))) into (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) 40.492 * [approximate]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) in (x) around 0 40.492 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) in x 40.492 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 40.492 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 40.492 * [taylor]: Taking taylor expansion of 1/2 in x 40.492 * [backup-simplify]: Simplify 1/2 into 1/2 40.492 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 40.492 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 40.492 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 40.492 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 40.492 * [taylor]: Taking taylor expansion of 1/2 in x 40.492 * [backup-simplify]: Simplify 1/2 into 1/2 40.492 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 40.492 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 40.492 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 40.492 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 40.492 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 40.493 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 40.493 * [taylor]: Taking taylor expansion of 1/2 in x 40.493 * [backup-simplify]: Simplify 1/2 into 1/2 40.493 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 40.493 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 40.493 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 40.493 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 40.493 * [taylor]: Taking taylor expansion of 1/2 in x 40.493 * [backup-simplify]: Simplify 1/2 into 1/2 40.493 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 40.493 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 40.493 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 40.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.494 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 40.495 * [backup-simplify]: Simplify (+ 0 0) into 0 40.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.495 * [taylor]: Taking taylor expansion of 1 in x 40.495 * [backup-simplify]: Simplify 1 into 1 40.495 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 40.495 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) 40.496 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) 40.496 * [backup-simplify]: Simplify (+ 0 0) into 0 40.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.497 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) in x 40.497 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 40.497 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 40.497 * [taylor]: Taking taylor expansion of 1/2 in x 40.497 * [backup-simplify]: Simplify 1/2 into 1/2 40.497 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 40.497 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 40.497 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 40.497 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 40.497 * [taylor]: Taking taylor expansion of 1/2 in x 40.497 * [backup-simplify]: Simplify 1/2 into 1/2 40.497 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 40.497 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 40.497 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 40.497 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 40.497 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 40.497 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 40.497 * [taylor]: Taking taylor expansion of 1/2 in x 40.497 * [backup-simplify]: Simplify 1/2 into 1/2 40.497 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 40.497 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 40.497 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 40.498 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 40.498 * [taylor]: Taking taylor expansion of 1/2 in x 40.498 * [backup-simplify]: Simplify 1/2 into 1/2 40.498 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 40.498 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 40.498 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 40.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.499 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 40.499 * [backup-simplify]: Simplify (+ 0 0) into 0 40.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.499 * [taylor]: Taking taylor expansion of 1 in x 40.499 * [backup-simplify]: Simplify 1 into 1 40.500 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 40.500 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) 40.500 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) 40.500 * [backup-simplify]: Simplify (+ 0 0) into 0 40.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.501 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 40.502 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 40.502 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) into (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) 40.502 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) into (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) 40.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.503 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 40.503 * [backup-simplify]: Simplify (+ 0 0) into 0 40.504 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.504 * [backup-simplify]: Simplify 0 into 0 40.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))) into 0 40.505 * [backup-simplify]: Simplify (+ 0 0) into 0 40.506 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.507 * [backup-simplify]: Simplify (+ 0 0) into 0 40.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.508 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.509 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))) into 0 40.510 * [backup-simplify]: Simplify (+ 0 0) into 0 40.511 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))))) into 0 40.511 * [backup-simplify]: Simplify 0 into 0 40.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))) into 0 40.513 * [backup-simplify]: Simplify (+ 0 0) into 0 40.514 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.514 * [backup-simplify]: Simplify (+ 0 0) into 0 40.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.516 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.518 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))) into 0 40.518 * [backup-simplify]: Simplify (+ 0 0) into 0 40.519 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))))) into 0 40.519 * [backup-simplify]: Simplify 0 into 0 40.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.521 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))) into 0 40.521 * [backup-simplify]: Simplify (+ 0 0) into 0 40.523 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.523 * [backup-simplify]: Simplify (+ 0 0) into 0 40.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.525 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.527 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))) into 0 40.527 * [backup-simplify]: Simplify (+ 0 0) into 0 40.529 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))))))) into 0 40.529 * [backup-simplify]: Simplify 0 into 0 40.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.531 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))))) into 0 40.532 * [backup-simplify]: Simplify (+ 0 0) into 0 40.533 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.533 * [backup-simplify]: Simplify (+ 0 0) into 0 40.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.535 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.538 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))))) into 0 40.539 * [backup-simplify]: Simplify (+ 0 0) into 0 40.540 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))))))) into 0 40.540 * [backup-simplify]: Simplify 0 into 0 40.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.543 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))))) into 0 40.544 * [backup-simplify]: Simplify (+ 0 0) into 0 40.545 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.545 * [backup-simplify]: Simplify (+ 0 0) into 0 40.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.548 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))))) into 0 40.556 * [backup-simplify]: Simplify (+ 0 0) into 0 40.559 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))))))))) into 0 40.559 * [backup-simplify]: Simplify 0 into 0 40.559 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 (/ 1 x))))) 1/2) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 (/ 1 x))))) 1/2)) 1)))) into (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 40.559 * [backup-simplify]: Simplify (/ (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))))) into (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) 40.559 * [approximate]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) in (x) around 0 40.559 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) in x 40.559 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 40.559 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 40.560 * [taylor]: Taking taylor expansion of 1/2 in x 40.560 * [backup-simplify]: Simplify 1/2 into 1/2 40.560 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 40.560 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 40.560 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 40.560 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 40.560 * [taylor]: Taking taylor expansion of 1/2 in x 40.560 * [backup-simplify]: Simplify 1/2 into 1/2 40.560 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 40.560 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 40.560 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 40.560 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 40.560 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 40.560 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 40.560 * [taylor]: Taking taylor expansion of 1/2 in x 40.560 * [backup-simplify]: Simplify 1/2 into 1/2 40.560 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 40.560 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 40.560 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 40.560 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 40.560 * [taylor]: Taking taylor expansion of 1/2 in x 40.560 * [backup-simplify]: Simplify 1/2 into 1/2 40.560 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 40.561 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 40.561 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 40.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 40.562 * [backup-simplify]: Simplify (+ 0 0) into 0 40.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.562 * [taylor]: Taking taylor expansion of 1 in x 40.562 * [backup-simplify]: Simplify 1 into 1 40.562 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 40.563 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) 40.563 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) 40.563 * [backup-simplify]: Simplify (+ 0 0) into 0 40.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.564 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) in x 40.564 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 40.564 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 40.564 * [taylor]: Taking taylor expansion of 1/2 in x 40.564 * [backup-simplify]: Simplify 1/2 into 1/2 40.564 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 40.564 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 40.564 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 40.564 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 40.564 * [taylor]: Taking taylor expansion of 1/2 in x 40.564 * [backup-simplify]: Simplify 1/2 into 1/2 40.564 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 40.564 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 40.564 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 40.564 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 40.564 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 40.564 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 40.564 * [taylor]: Taking taylor expansion of 1/2 in x 40.564 * [backup-simplify]: Simplify 1/2 into 1/2 40.564 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 40.564 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 40.565 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 40.565 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 40.565 * [taylor]: Taking taylor expansion of 1/2 in x 40.565 * [backup-simplify]: Simplify 1/2 into 1/2 40.565 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 40.565 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 40.565 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 40.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.566 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 40.566 * [backup-simplify]: Simplify (+ 0 0) into 0 40.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.566 * [taylor]: Taking taylor expansion of 1 in x 40.566 * [backup-simplify]: Simplify 1 into 1 40.567 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 40.567 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) 40.567 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) 40.567 * [backup-simplify]: Simplify (+ 0 0) into 0 40.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.568 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 40.568 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 40.569 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) into (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) 40.569 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) into (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) 40.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 40.570 * [backup-simplify]: Simplify (+ 0 0) into 0 40.571 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.571 * [backup-simplify]: Simplify 0 into 0 40.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.572 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))) into 0 40.572 * [backup-simplify]: Simplify (+ 0 0) into 0 40.573 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.573 * [backup-simplify]: Simplify (+ 0 0) into 0 40.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.575 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.576 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))) into 0 40.576 * [backup-simplify]: Simplify (+ 0 0) into 0 40.577 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))))) into 0 40.577 * [backup-simplify]: Simplify 0 into 0 40.578 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.579 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))) into 0 40.579 * [backup-simplify]: Simplify (+ 0 0) into 0 40.580 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.581 * [backup-simplify]: Simplify (+ 0 0) into 0 40.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.583 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.584 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))) into 0 40.585 * [backup-simplify]: Simplify (+ 0 0) into 0 40.586 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))))) into 0 40.586 * [backup-simplify]: Simplify 0 into 0 40.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.588 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))) into 0 40.588 * [backup-simplify]: Simplify (+ 0 0) into 0 40.589 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.590 * [backup-simplify]: Simplify (+ 0 0) into 0 40.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.592 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))) into 0 40.594 * [backup-simplify]: Simplify (+ 0 0) into 0 40.596 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))))))) into 0 40.596 * [backup-simplify]: Simplify 0 into 0 40.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.598 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))))) into 0 40.599 * [backup-simplify]: Simplify (+ 0 0) into 0 40.600 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.600 * [backup-simplify]: Simplify (+ 0 0) into 0 40.601 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.602 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.605 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))))) into 0 40.606 * [backup-simplify]: Simplify (+ 0 0) into 0 40.607 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))))))) into 0 40.607 * [backup-simplify]: Simplify 0 into 0 40.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.610 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))))) into 0 40.611 * [backup-simplify]: Simplify (+ 0 0) into 0 40.612 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.612 * [backup-simplify]: Simplify (+ 0 0) into 0 40.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.615 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.618 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))))) into 0 40.618 * [backup-simplify]: Simplify (+ 0 0) into 0 40.620 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))))))))) into 0 40.620 * [backup-simplify]: Simplify 0 into 0 40.621 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 (/ 1 (- x)))))) 1/2) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 (/ 1 (- x)))))) 1/2)) 1)))) into (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 40.621 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 40.621 * [backup-simplify]: Simplify (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) into (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))))) 40.621 * [approximate]: Taking taylor expansion of (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))))) in (x) around 0 40.621 * [taylor]: Taking taylor expansion of (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))))) in x 40.622 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) in x 40.622 * [taylor]: Taking taylor expansion of 1/2 in x 40.622 * [backup-simplify]: Simplify 1/2 into 1/2 40.622 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 40.622 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 40.622 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 40.622 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 40.622 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 40.622 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 40.622 * [taylor]: Taking taylor expansion of 1/2 in x 40.622 * [backup-simplify]: Simplify 1/2 into 1/2 40.622 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 40.622 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 40.622 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 40.622 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 40.622 * [taylor]: Taking taylor expansion of 1/2 in x 40.622 * [backup-simplify]: Simplify 1/2 into 1/2 40.622 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 40.622 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 40.622 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 40.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 40.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 40.623 * [backup-simplify]: Simplify (+ 0 0) into 0 40.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.624 * [taylor]: Taking taylor expansion of 1 in x 40.624 * [backup-simplify]: Simplify 1 into 1 40.624 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 40.624 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 40.624 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 40.625 * [backup-simplify]: Simplify (+ 0 0) into 0 40.625 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.625 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x)))) in x 40.625 * [taylor]: Taking taylor expansion of 1/2 in x 40.625 * [backup-simplify]: Simplify 1/2 into 1/2 40.625 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))) in x 40.625 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 40.625 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 40.625 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 40.625 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 40.625 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 40.625 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 40.626 * [taylor]: Taking taylor expansion of 1/2 in x 40.626 * [backup-simplify]: Simplify 1/2 into 1/2 40.626 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 40.626 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 40.626 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 40.626 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 40.626 * [taylor]: Taking taylor expansion of 1/2 in x 40.626 * [backup-simplify]: Simplify 1/2 into 1/2 40.626 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 40.626 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 40.626 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 40.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 40.627 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 40.627 * [backup-simplify]: Simplify (+ 0 0) into 0 40.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.627 * [taylor]: Taking taylor expansion of 1 in x 40.627 * [backup-simplify]: Simplify 1 into 1 40.628 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 40.628 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 40.628 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 40.628 * [backup-simplify]: Simplify (+ 0 0) into 0 40.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.629 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 40.629 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 40.629 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 40.629 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 40.629 * [taylor]: Taking taylor expansion of (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))))) in x 40.629 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) in x 40.629 * [taylor]: Taking taylor expansion of 1/2 in x 40.629 * [backup-simplify]: Simplify 1/2 into 1/2 40.629 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 40.629 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 40.629 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 40.629 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 40.629 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 40.629 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 40.629 * [taylor]: Taking taylor expansion of 1/2 in x 40.629 * [backup-simplify]: Simplify 1/2 into 1/2 40.629 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 40.629 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 40.630 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 40.630 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 40.630 * [taylor]: Taking taylor expansion of 1/2 in x 40.630 * [backup-simplify]: Simplify 1/2 into 1/2 40.630 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 40.630 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 40.630 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 40.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 40.631 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 40.631 * [backup-simplify]: Simplify (+ 0 0) into 0 40.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.631 * [taylor]: Taking taylor expansion of 1 in x 40.631 * [backup-simplify]: Simplify 1 into 1 40.631 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 40.632 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 40.632 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 40.632 * [backup-simplify]: Simplify (+ 0 0) into 0 40.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.633 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x)))) in x 40.633 * [taylor]: Taking taylor expansion of 1/2 in x 40.633 * [backup-simplify]: Simplify 1/2 into 1/2 40.633 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))) in x 40.633 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 40.633 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 40.633 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 40.633 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 40.633 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 40.633 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 40.633 * [taylor]: Taking taylor expansion of 1/2 in x 40.633 * [backup-simplify]: Simplify 1/2 into 1/2 40.633 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 40.633 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 40.633 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 40.633 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 40.634 * [taylor]: Taking taylor expansion of 1/2 in x 40.634 * [backup-simplify]: Simplify 1/2 into 1/2 40.634 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 40.634 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 40.634 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 40.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 40.635 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 40.635 * [backup-simplify]: Simplify (+ 0 0) into 0 40.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.635 * [taylor]: Taking taylor expansion of 1 in x 40.635 * [backup-simplify]: Simplify 1 into 1 40.635 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 40.636 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 40.636 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 40.636 * [backup-simplify]: Simplify (+ 0 0) into 0 40.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.637 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 40.637 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 40.637 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 40.637 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 40.637 * [backup-simplify]: Simplify (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) into (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) 40.637 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))) into (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))) 40.638 * [backup-simplify]: Simplify (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x)))) into (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x)))) 40.638 * [backup-simplify]: Simplify (- (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))))) into (- (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))))) 40.639 * [backup-simplify]: Simplify (+ (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) (- (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x)))))) into (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))))) 40.639 * [backup-simplify]: Simplify (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))))) into (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))))) 40.640 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 40.640 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 0) (* 0 (/ 1 (hypot 1 x)))) into 0 40.641 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))))) into 0 40.642 * [backup-simplify]: Simplify (- 0) into 0 40.642 * [backup-simplify]: Simplify (+ 0 0) into 0 40.642 * [backup-simplify]: Simplify 0 into 0 40.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 40.643 * [backup-simplify]: Simplify (+ 0 0) into 0 40.644 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.645 * [backup-simplify]: Simplify (+ 0 0) into 0 40.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.646 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.647 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))))) into 0 40.647 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.647 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.648 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 40.649 * [backup-simplify]: Simplify (+ 0 0) into 0 40.649 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.650 * [backup-simplify]: Simplify (+ 0 0) into 0 40.650 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.651 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.652 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 40.653 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x)))))) into 0 40.653 * [backup-simplify]: Simplify (- 0) into 0 40.653 * [backup-simplify]: Simplify (+ 0 0) into 0 40.654 * [backup-simplify]: Simplify 0 into 0 40.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.655 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 40.655 * [backup-simplify]: Simplify (+ 0 0) into 0 40.656 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.657 * [backup-simplify]: Simplify (+ 0 0) into 0 40.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.658 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.660 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))))) into 0 40.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.662 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 40.662 * [backup-simplify]: Simplify (+ 0 0) into 0 40.663 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.663 * [backup-simplify]: Simplify (+ 0 0) into 0 40.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.665 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.666 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 40.668 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))))))) into 0 40.668 * [backup-simplify]: Simplify (- 0) into 0 40.669 * [backup-simplify]: Simplify (+ 0 0) into 0 40.669 * [backup-simplify]: Simplify 0 into 0 40.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.671 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 40.671 * [backup-simplify]: Simplify (+ 0 0) into 0 40.673 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.673 * [backup-simplify]: Simplify (+ 0 0) into 0 40.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.675 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.677 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))))))) into 0 40.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.679 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 40.679 * [backup-simplify]: Simplify (+ 0 0) into 0 40.681 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.681 * [backup-simplify]: Simplify (+ 0 0) into 0 40.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.683 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.684 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 40.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x)))))))) into 0 40.686 * [backup-simplify]: Simplify (- 0) into 0 40.687 * [backup-simplify]: Simplify (+ 0 0) into 0 40.687 * [backup-simplify]: Simplify 0 into 0 40.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.694 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 40.694 * [backup-simplify]: Simplify (+ 0 0) into 0 40.695 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.696 * [backup-simplify]: Simplify (+ 0 0) into 0 40.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.698 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.700 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))))))) into 0 40.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.702 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 40.703 * [backup-simplify]: Simplify (+ 0 0) into 0 40.704 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.704 * [backup-simplify]: Simplify (+ 0 0) into 0 40.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.706 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.708 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 40.710 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))))))))) into 0 40.711 * [backup-simplify]: Simplify (- 0) into 0 40.711 * [backup-simplify]: Simplify (+ 0 0) into 0 40.711 * [backup-simplify]: Simplify 0 into 0 40.711 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.714 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 40.714 * [backup-simplify]: Simplify (+ 0 0) into 0 40.715 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.716 * [backup-simplify]: Simplify (+ 0 0) into 0 40.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.718 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.720 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))))))))) into 0 40.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 40.723 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 40.724 * [backup-simplify]: Simplify (+ 0 0) into 0 40.725 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 40.726 * [backup-simplify]: Simplify (+ 0 0) into 0 40.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.728 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) into 0 40.730 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 40.733 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x)))))))))) into 0 40.733 * [backup-simplify]: Simplify (- 0) into 0 40.733 * [backup-simplify]: Simplify (+ 0 0) into 0 40.733 * [backup-simplify]: Simplify 0 into 0 40.734 * [backup-simplify]: Simplify (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))))) into (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))))) 40.734 * [backup-simplify]: Simplify (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))))) (/ (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)))))) into (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) (* 1/2 (* (/ 1 (hypot 1 (/ 1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))))) 40.735 * [approximate]: Taking taylor expansion of (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) (* 1/2 (* (/ 1 (hypot 1 (/ 1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))))) in (x) around 0 40.735 * [taylor]: Taking taylor expansion of (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) (* 1/2 (* (/ 1 (hypot 1 (/ 1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))))) in x 40.735 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) in x 40.735 * [taylor]: Taking taylor expansion of 1/2 in x 40.735 * [backup-simplify]: Simplify 1/2 into 1/2 40.735 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 40.735 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 40.735 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 40.735 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 40.735 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 40.735 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 40.735 * [taylor]: Taking taylor expansion of 1/2 in x 40.735 * [backup-simplify]: Simplify 1/2 into 1/2 40.735 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 40.735 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 40.735 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 40.735 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 40.735 * [taylor]: Taking taylor expansion of 1/2 in x 40.735 * [backup-simplify]: Simplify 1/2 into 1/2 40.735 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 40.735 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 40.735 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 40.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.736 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 40.736 * [backup-simplify]: Simplify (+ 0 0) into 0 40.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.736 * [taylor]: Taking taylor expansion of 1 in x 40.736 * [backup-simplify]: Simplify 1 into 1 40.736 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 40.737 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) 40.737 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) 40.737 * [backup-simplify]: Simplify (+ 0 0) into 0 40.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.737 * [taylor]: Taking taylor expansion of (* 1/2 (* (/ 1 (hypot 1 (/ 1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) in x 40.737 * [taylor]: Taking taylor expansion of 1/2 in x 40.737 * [backup-simplify]: Simplify 1/2 into 1/2 40.737 * [taylor]: Taking taylor expansion of (* (/ 1 (hypot 1 (/ 1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) in x 40.737 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 40.737 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 40.737 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 40.737 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 40.738 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 40.738 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 40.738 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 40.738 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 40.738 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 40.738 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 40.738 * [taylor]: Taking taylor expansion of 1/2 in x 40.738 * [backup-simplify]: Simplify 1/2 into 1/2 40.738 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 40.738 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 40.738 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 40.738 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 40.738 * [taylor]: Taking taylor expansion of 1/2 in x 40.738 * [backup-simplify]: Simplify 1/2 into 1/2 40.738 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 40.738 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 40.738 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 40.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.738 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 40.739 * [backup-simplify]: Simplify (+ 0 0) into 0 40.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.739 * [taylor]: Taking taylor expansion of 1 in x 40.739 * [backup-simplify]: Simplify 1 into 1 40.739 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 40.739 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) 40.739 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) 40.739 * [backup-simplify]: Simplify (+ 0 0) into 0 40.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.740 * [taylor]: Taking taylor expansion of (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) (* 1/2 (* (/ 1 (hypot 1 (/ 1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))))) in x 40.740 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) in x 40.740 * [taylor]: Taking taylor expansion of 1/2 in x 40.740 * [backup-simplify]: Simplify 1/2 into 1/2 40.740 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 40.740 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 40.740 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 40.740 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 40.740 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 40.740 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 40.740 * [taylor]: Taking taylor expansion of 1/2 in x 40.740 * [backup-simplify]: Simplify 1/2 into 1/2 40.740 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 40.740 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 40.740 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 40.740 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 40.740 * [taylor]: Taking taylor expansion of 1/2 in x 40.740 * [backup-simplify]: Simplify 1/2 into 1/2 40.740 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 40.740 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 40.740 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 40.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.741 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 40.741 * [backup-simplify]: Simplify (+ 0 0) into 0 40.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.741 * [taylor]: Taking taylor expansion of 1 in x 40.741 * [backup-simplify]: Simplify 1 into 1 40.741 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 40.741 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) 40.742 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) 40.742 * [backup-simplify]: Simplify (+ 0 0) into 0 40.742 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.742 * [taylor]: Taking taylor expansion of (* 1/2 (* (/ 1 (hypot 1 (/ 1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) in x 40.742 * [taylor]: Taking taylor expansion of 1/2 in x 40.742 * [backup-simplify]: Simplify 1/2 into 1/2 40.742 * [taylor]: Taking taylor expansion of (* (/ 1 (hypot 1 (/ 1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) in x 40.742 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 40.742 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 40.742 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 40.742 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 40.742 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 40.742 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 40.742 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 40.742 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 40.742 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 40.742 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 40.742 * [taylor]: Taking taylor expansion of 1/2 in x 40.742 * [backup-simplify]: Simplify 1/2 into 1/2 40.742 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 40.742 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 40.743 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 40.743 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 40.743 * [taylor]: Taking taylor expansion of 1/2 in x 40.743 * [backup-simplify]: Simplify 1/2 into 1/2 40.743 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 40.743 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 40.743 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 40.743 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.743 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 40.744 * [backup-simplify]: Simplify (+ 0 0) into 0 40.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.744 * [taylor]: Taking taylor expansion of 1 in x 40.744 * [backup-simplify]: Simplify 1 into 1 40.744 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 40.744 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) 40.744 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) 40.744 * [backup-simplify]: Simplify (+ 0 0) into 0 40.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.745 * [backup-simplify]: Simplify (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) into (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) 40.745 * [backup-simplify]: Simplify (* (/ 1 (hypot 1 (/ 1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) into (* (/ 1 (hypot 1 (/ 1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) 40.745 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (hypot 1 (/ 1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into (* 1/2 (* (/ 1 (hypot 1 (/ 1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) 40.745 * [backup-simplify]: Simplify (- (* 1/2 (* (/ 1 (hypot 1 (/ 1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))))) into (- (* 1/2 (* (/ 1 (hypot 1 (/ 1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))))) 40.746 * [backup-simplify]: Simplify (+ (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) (- (* 1/2 (* (/ 1 (hypot 1 (/ 1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))))) into (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) (* 1/2 (* (/ 1 (hypot 1 (/ 1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))))) 40.746 * [backup-simplify]: Simplify (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) (* 1/2 (* (/ 1 (hypot 1 (/ 1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))))) into (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) (* 1/2 (* (/ 1 (hypot 1 (/ 1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))))) 40.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.747 * [backup-simplify]: Simplify (+ (* (/ 1 (hypot 1 (/ 1 x))) 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.747 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (/ 1 (hypot 1 (/ 1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))))) into 0 40.747 * [backup-simplify]: Simplify (- 0) into 0 40.748 * [backup-simplify]: Simplify (+ 0 0) into 0 40.748 * [backup-simplify]: Simplify 0 into 0 40.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.748 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))) into 0 40.749 * [backup-simplify]: Simplify (+ 0 0) into 0 40.749 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.749 * [backup-simplify]: Simplify (+ 0 0) into 0 40.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.750 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.751 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))))) into 0 40.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.752 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))) into 0 40.752 * [backup-simplify]: Simplify (+ 0 0) into 0 40.752 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.753 * [backup-simplify]: Simplify (+ 0 0) into 0 40.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.753 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.754 * [backup-simplify]: Simplify (+ (* (/ 1 (hypot 1 (/ 1 x))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))))) into 0 40.755 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* (/ 1 (hypot 1 (/ 1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))))) into 0 40.755 * [backup-simplify]: Simplify (- 0) into 0 40.755 * [backup-simplify]: Simplify (+ 0 0) into 0 40.755 * [backup-simplify]: Simplify 0 into 0 40.755 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.756 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))) into 0 40.756 * [backup-simplify]: Simplify (+ 0 0) into 0 40.757 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.757 * [backup-simplify]: Simplify (+ 0 0) into 0 40.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.758 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.759 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))))) into 0 40.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))) into 0 40.761 * [backup-simplify]: Simplify (+ 0 0) into 0 40.761 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.761 * [backup-simplify]: Simplify (+ 0 0) into 0 40.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.763 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.764 * [backup-simplify]: Simplify (+ (* (/ 1 (hypot 1 (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))))) into 0 40.765 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (hypot 1 (/ 1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))))))) into 0 40.765 * [backup-simplify]: Simplify (- 0) into 0 40.766 * [backup-simplify]: Simplify (+ 0 0) into 0 40.766 * [backup-simplify]: Simplify 0 into 0 40.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.768 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))) into 0 40.768 * [backup-simplify]: Simplify (+ 0 0) into 0 40.769 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.770 * [backup-simplify]: Simplify (+ 0 0) into 0 40.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.772 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.774 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))))))) into 0 40.774 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.776 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))) into 0 40.776 * [backup-simplify]: Simplify (+ 0 0) into 0 40.777 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.778 * [backup-simplify]: Simplify (+ 0 0) into 0 40.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.780 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.782 * [backup-simplify]: Simplify (+ (* (/ 1 (hypot 1 (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))))))) into 0 40.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (hypot 1 (/ 1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))))))) into 0 40.784 * [backup-simplify]: Simplify (- 0) into 0 40.784 * [backup-simplify]: Simplify (+ 0 0) into 0 40.784 * [backup-simplify]: Simplify 0 into 0 40.785 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))))) into 0 40.788 * [backup-simplify]: Simplify (+ 0 0) into 0 40.789 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.789 * [backup-simplify]: Simplify (+ 0 0) into 0 40.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.792 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.794 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))))))) into 0 40.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.796 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))))) into 0 40.797 * [backup-simplify]: Simplify (+ 0 0) into 0 40.798 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.798 * [backup-simplify]: Simplify (+ 0 0) into 0 40.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.800 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.802 * [backup-simplify]: Simplify (+ (* (/ 1 (hypot 1 (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))))))) into 0 40.805 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (hypot 1 (/ 1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))))))))) into 0 40.805 * [backup-simplify]: Simplify (- 0) into 0 40.805 * [backup-simplify]: Simplify (+ 0 0) into 0 40.805 * [backup-simplify]: Simplify 0 into 0 40.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))))) into 0 40.813 * [backup-simplify]: Simplify (+ 0 0) into 0 40.814 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.815 * [backup-simplify]: Simplify (+ 0 0) into 0 40.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.817 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.819 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))))))))) into 0 40.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.821 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))))) into 0 40.821 * [backup-simplify]: Simplify (+ 0 0) into 0 40.822 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 40.822 * [backup-simplify]: Simplify (+ 0 0) into 0 40.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.824 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))) into 0 40.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 40.825 * [backup-simplify]: Simplify (+ (* (/ 1 (hypot 1 (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))))))))) into 0 40.827 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (hypot 1 (/ 1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))))))))))) into 0 40.827 * [backup-simplify]: Simplify (- 0) into 0 40.827 * [backup-simplify]: Simplify (+ 0 0) into 0 40.827 * [backup-simplify]: Simplify 0 into 0 40.828 * [backup-simplify]: Simplify (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 (/ 1 x))))) 1/2)) 1)))) (* 1/2 (* (/ 1 (hypot 1 (/ 1 (/ 1 x)))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 (/ 1 x))))) 1/2)) 1)))))) into (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))))) 40.828 * [backup-simplify]: Simplify (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))))) (/ (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)))))) into (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) (* 1/2 (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))))) 40.828 * [approximate]: Taking taylor expansion of (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) (* 1/2 (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))))) in (x) around 0 40.828 * [taylor]: Taking taylor expansion of (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) (* 1/2 (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))))) in x 40.828 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) in x 40.828 * [taylor]: Taking taylor expansion of 1/2 in x 40.828 * [backup-simplify]: Simplify 1/2 into 1/2 40.828 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 40.828 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 40.828 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 40.828 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 40.828 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 40.828 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 40.828 * [taylor]: Taking taylor expansion of 1/2 in x 40.828 * [backup-simplify]: Simplify 1/2 into 1/2 40.828 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 40.828 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 40.828 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 40.828 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 40.828 * [taylor]: Taking taylor expansion of 1/2 in x 40.828 * [backup-simplify]: Simplify 1/2 into 1/2 40.828 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 40.829 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 40.829 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 40.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.829 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 40.829 * [backup-simplify]: Simplify (+ 0 0) into 0 40.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.829 * [taylor]: Taking taylor expansion of 1 in x 40.829 * [backup-simplify]: Simplify 1 into 1 40.830 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 40.830 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) 40.830 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) 40.830 * [backup-simplify]: Simplify (+ 0 0) into 0 40.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.830 * [taylor]: Taking taylor expansion of (* 1/2 (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) in x 40.830 * [taylor]: Taking taylor expansion of 1/2 in x 40.830 * [backup-simplify]: Simplify 1/2 into 1/2 40.830 * [taylor]: Taking taylor expansion of (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) in x 40.830 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 40.830 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 40.831 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 40.831 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 40.831 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 40.831 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 40.831 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 40.831 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 40.831 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 40.831 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 40.831 * [taylor]: Taking taylor expansion of 1/2 in x 40.831 * [backup-simplify]: Simplify 1/2 into 1/2 40.831 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 40.831 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 40.831 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 40.831 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 40.831 * [taylor]: Taking taylor expansion of 1/2 in x 40.831 * [backup-simplify]: Simplify 1/2 into 1/2 40.831 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 40.831 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 40.831 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 40.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.832 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 40.832 * [backup-simplify]: Simplify (+ 0 0) into 0 40.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.832 * [taylor]: Taking taylor expansion of 1 in x 40.832 * [backup-simplify]: Simplify 1 into 1 40.832 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 40.832 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) 40.832 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) 40.833 * [backup-simplify]: Simplify (+ 0 0) into 0 40.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.833 * [taylor]: Taking taylor expansion of (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) (* 1/2 (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))))) in x 40.833 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) in x 40.833 * [taylor]: Taking taylor expansion of 1/2 in x 40.833 * [backup-simplify]: Simplify 1/2 into 1/2 40.833 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 40.833 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 40.833 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 40.833 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 40.833 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 40.833 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 40.833 * [taylor]: Taking taylor expansion of 1/2 in x 40.833 * [backup-simplify]: Simplify 1/2 into 1/2 40.833 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 40.833 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 40.833 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 40.833 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 40.833 * [taylor]: Taking taylor expansion of 1/2 in x 40.833 * [backup-simplify]: Simplify 1/2 into 1/2 40.833 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 40.833 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 40.833 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 40.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.834 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 40.834 * [backup-simplify]: Simplify (+ 0 0) into 0 40.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.834 * [taylor]: Taking taylor expansion of 1 in x 40.834 * [backup-simplify]: Simplify 1 into 1 40.834 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 40.834 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) 40.835 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) 40.835 * [backup-simplify]: Simplify (+ 0 0) into 0 40.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.835 * [taylor]: Taking taylor expansion of (* 1/2 (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) in x 40.835 * [taylor]: Taking taylor expansion of 1/2 in x 40.835 * [backup-simplify]: Simplify 1/2 into 1/2 40.835 * [taylor]: Taking taylor expansion of (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) in x 40.835 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 40.835 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 40.835 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 40.835 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 40.835 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 40.835 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 40.835 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 40.835 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 40.835 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 40.836 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 40.836 * [taylor]: Taking taylor expansion of 1/2 in x 40.836 * [backup-simplify]: Simplify 1/2 into 1/2 40.836 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 40.836 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 40.836 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 40.836 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 40.836 * [taylor]: Taking taylor expansion of 1/2 in x 40.836 * [backup-simplify]: Simplify 1/2 into 1/2 40.836 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 40.836 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 40.836 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 40.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 40.837 * [backup-simplify]: Simplify (+ 0 0) into 0 40.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.837 * [taylor]: Taking taylor expansion of 1 in x 40.837 * [backup-simplify]: Simplify 1 into 1 40.837 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 40.837 * [backup-simplify]: Simplify (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) into (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) 40.837 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) into (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) 40.837 * [backup-simplify]: Simplify (+ 0 0) into 0 40.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.838 * [backup-simplify]: Simplify (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) into (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) 40.838 * [backup-simplify]: Simplify (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) into (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) 40.838 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into (* 1/2 (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) 40.838 * [backup-simplify]: Simplify (- (* 1/2 (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))))) into (- (* 1/2 (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))))) 40.839 * [backup-simplify]: Simplify (+ (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) (- (* 1/2 (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))))) into (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) (* 1/2 (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))))) 40.839 * [backup-simplify]: Simplify (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) (* 1/2 (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))))) into (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) (* 1/2 (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))))) 40.839 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.840 * [backup-simplify]: Simplify (+ (* (/ 1 (hypot 1 (/ -1 x))) 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.840 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))))) into 0 40.840 * [backup-simplify]: Simplify (- 0) into 0 40.841 * [backup-simplify]: Simplify (+ 0 0) into 0 40.841 * [backup-simplify]: Simplify 0 into 0 40.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.841 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))) into 0 40.842 * [backup-simplify]: Simplify (+ 0 0) into 0 40.842 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.842 * [backup-simplify]: Simplify (+ 0 0) into 0 40.843 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.843 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))))) into 0 40.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))) into 0 40.845 * [backup-simplify]: Simplify (+ 0 0) into 0 40.845 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.846 * [backup-simplify]: Simplify (+ 0 0) into 0 40.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.847 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.847 * [backup-simplify]: Simplify (+ (* (/ 1 (hypot 1 (/ -1 x))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))))) into 0 40.848 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))))) into 0 40.848 * [backup-simplify]: Simplify (- 0) into 0 40.848 * [backup-simplify]: Simplify (+ 0 0) into 0 40.848 * [backup-simplify]: Simplify 0 into 0 40.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.849 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))) into 0 40.850 * [backup-simplify]: Simplify (+ 0 0) into 0 40.850 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.850 * [backup-simplify]: Simplify (+ 0 0) into 0 40.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.851 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.852 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))))) into 0 40.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))) into 0 40.854 * [backup-simplify]: Simplify (+ 0 0) into 0 40.854 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.854 * [backup-simplify]: Simplify (+ 0 0) into 0 40.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.856 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.856 * [backup-simplify]: Simplify (+ (* (/ 1 (hypot 1 (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))))) into 0 40.857 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))))))) into 0 40.858 * [backup-simplify]: Simplify (- 0) into 0 40.858 * [backup-simplify]: Simplify (+ 0 0) into 0 40.858 * [backup-simplify]: Simplify 0 into 0 40.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))) into 0 40.860 * [backup-simplify]: Simplify (+ 0 0) into 0 40.860 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.861 * [backup-simplify]: Simplify (+ 0 0) into 0 40.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.862 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.863 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))))))) into 0 40.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))) into 0 40.864 * [backup-simplify]: Simplify (+ 0 0) into 0 40.865 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.865 * [backup-simplify]: Simplify (+ 0 0) into 0 40.866 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.867 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.868 * [backup-simplify]: Simplify (+ (* (/ 1 (hypot 1 (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))))))) into 0 40.869 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))))))) into 0 40.869 * [backup-simplify]: Simplify (- 0) into 0 40.870 * [backup-simplify]: Simplify (+ 0 0) into 0 40.870 * [backup-simplify]: Simplify 0 into 0 40.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.871 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))))) into 0 40.871 * [backup-simplify]: Simplify (+ 0 0) into 0 40.872 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.872 * [backup-simplify]: Simplify (+ 0 0) into 0 40.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.873 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))))))) into 0 40.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.876 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))))) into 0 40.877 * [backup-simplify]: Simplify (+ 0 0) into 0 40.877 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.877 * [backup-simplify]: Simplify (+ 0 0) into 0 40.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.878 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.880 * [backup-simplify]: Simplify (+ (* (/ 1 (hypot 1 (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))))))) into 0 40.881 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))))))))) into 0 40.881 * [backup-simplify]: Simplify (- 0) into 0 40.882 * [backup-simplify]: Simplify (+ 0 0) into 0 40.882 * [backup-simplify]: Simplify 0 into 0 40.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))))) into 0 40.884 * [backup-simplify]: Simplify (+ 0 0) into 0 40.884 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.885 * [backup-simplify]: Simplify (+ 0 0) into 0 40.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.886 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.887 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))))))))) into 0 40.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.889 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))))) into 0 40.889 * [backup-simplify]: Simplify (+ 0 0) into 0 40.890 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 40.890 * [backup-simplify]: Simplify (+ 0 0) into 0 40.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 0 (/ 0 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.892 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) into 0 40.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 40.899 * [backup-simplify]: Simplify (+ (* (/ 1 (hypot 1 (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))))))))) into 0 40.901 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))))))))) into 0 40.902 * [backup-simplify]: Simplify (- 0) into 0 40.902 * [backup-simplify]: Simplify (+ 0 0) into 0 40.902 * [backup-simplify]: Simplify 0 into 0 40.903 * [backup-simplify]: Simplify (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 (/ 1 (- x)))))) 1/2)) 1)))) (* 1/2 (* (/ 1 (hypot 1 (/ -1 (/ 1 (- x))))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 (/ 1 (- x)))))) 1/2)) 1)))))) into (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))))) 40.903 * * * [progress]: simplifying candidates 40.903 * * * * [progress]: [ 1 / 267 ] simplifiying candidate # 40.903 * * * * [progress]: [ 2 / 267 ] simplifiying candidate # 40.903 * [simplify]: Simplifying (- 1/2) 40.904 * * [simplify]: iters left: 2 (2 enodes) 40.906 * * [simplify]: iters left: 1 (7 enodes) 40.908 * * [simplify]: Extracting #0: cost 1 inf + 0 40.908 * * [simplify]: Extracting #1: cost 0 inf + 1 40.908 * [simplify]: Simplified to -1/2 40.908 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (pow (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) -1/2) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 40.908 * * * * [progress]: [ 3 / 267 ] simplifiying candidate # 40.909 * [simplify]: Simplifying (- 1) 40.909 * * [simplify]: iters left: 2 (2 enodes) 40.911 * * [simplify]: iters left: 1 (9 enodes) 40.914 * * [simplify]: Extracting #0: cost 1 inf + 0 40.914 * * [simplify]: Extracting #1: cost 0 inf + 1 40.914 * [simplify]: Simplified to -1 40.914 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (pow (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) -1) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 40.914 * * * * [progress]: [ 4 / 267 ] simplifiying candidate # 40.915 * [simplify]: Simplifying (- (/ 1 2)) 40.915 * * [simplify]: iters left: 4 (4 enodes) 40.919 * * [simplify]: iters left: 3 (19 enodes) 40.925 * * [simplify]: iters left: 2 (23 enodes) 40.932 * * [simplify]: Extracting #0: cost 1 inf + 0 40.932 * * [simplify]: Extracting #1: cost 0 inf + 1 40.932 * [simplify]: Simplified to -1/2 40.932 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (pow (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) -1/2) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 40.932 * * * * [progress]: [ 5 / 267 ] simplifiying candidate # 40.932 * * * * [progress]: [ 6 / 267 ] simplifiying candidate # 40.933 * * * * [progress]: [ 7 / 267 ] simplifiying candidate # 40.933 * [simplify]: Simplifying (- 0 (log (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 40.933 * * [simplify]: iters left: 6 (12 enodes) 40.939 * * [simplify]: iters left: 5 (41 enodes) 40.948 * * [simplify]: iters left: 4 (45 enodes) 40.955 * * [simplify]: iters left: 3 (47 enodes) 40.962 * * [simplify]: iters left: 2 (49 enodes) 40.969 * * [simplify]: Extracting #0: cost 1 inf + 0 40.969 * * [simplify]: Extracting #1: cost 4 inf + 0 40.969 * * [simplify]: Extracting #2: cost 5 inf + 1 40.969 * * [simplify]: Extracting #3: cost 7 inf + 1 40.970 * * [simplify]: Extracting #4: cost 10 inf + 1 40.970 * * [simplify]: Extracting #5: cost 11 inf + 2 40.970 * * [simplify]: Extracting #6: cost 14 inf + 2 40.970 * * [simplify]: Extracting #7: cost 15 inf + 3 40.970 * * [simplify]: Extracting #8: cost 17 inf + 3 40.970 * * [simplify]: Extracting #9: cost 16 inf + 4 40.970 * * [simplify]: Extracting #10: cost 13 inf + 216 40.970 * * [simplify]: Extracting #11: cost 9 inf + 768 40.970 * * [simplify]: Extracting #12: cost 5 inf + 1640 40.971 * * [simplify]: Extracting #13: cost 1 inf + 2922 40.971 * * [simplify]: Extracting #14: cost 0 inf + 3290 40.972 * [simplify]: Simplified to (- (log (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 40.972 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (exp (- (log (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 40.973 * * * * [progress]: [ 8 / 267 ] simplifiying candidate # 40.973 * [simplify]: Simplifying (- (log 1) (log (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 40.973 * * [simplify]: iters left: 6 (12 enodes) 40.979 * * [simplify]: iters left: 5 (42 enodes) 40.991 * * [simplify]: Extracting #0: cost 1 inf + 0 40.991 * * [simplify]: Extracting #1: cost 4 inf + 0 40.992 * * [simplify]: Extracting #2: cost 5 inf + 1 40.992 * * [simplify]: Extracting #3: cost 7 inf + 1 40.992 * * [simplify]: Extracting #4: cost 10 inf + 1 40.992 * * [simplify]: Extracting #5: cost 11 inf + 2 40.992 * * [simplify]: Extracting #6: cost 14 inf + 2 40.992 * * [simplify]: Extracting #7: cost 15 inf + 3 40.992 * * [simplify]: Extracting #8: cost 17 inf + 3 40.992 * * [simplify]: Extracting #9: cost 16 inf + 4 40.992 * * [simplify]: Extracting #10: cost 12 inf + 314 40.993 * * [simplify]: Extracting #11: cost 8 inf + 946 40.993 * * [simplify]: Extracting #12: cost 5 inf + 1640 40.994 * * [simplify]: Extracting #13: cost 2 inf + 2594 40.995 * * [simplify]: Extracting #14: cost 0 inf + 3290 40.996 * [simplify]: Simplified to (- (log (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 40.996 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (exp (- (log (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 40.996 * * * * [progress]: [ 9 / 267 ] simplifiying candidate # 40.996 * * * * [progress]: [ 10 / 267 ] simplifiying candidate # 40.997 * * * * [progress]: [ 11 / 267 ] simplifiying candidate # 40.997 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 40.997 * * [simplify]: iters left: 6 (14 enodes) 41.005 * * [simplify]: iters left: 5 (46 enodes) 41.020 * * [simplify]: iters left: 4 (74 enodes) 41.050 * * [simplify]: iters left: 3 (110 enodes) 41.078 * * [simplify]: iters left: 2 (184 enodes) 41.133 * * [simplify]: iters left: 1 (240 enodes) 41.199 * * [simplify]: Extracting #0: cost 1 inf + 0 41.199 * * [simplify]: Extracting #1: cost 22 inf + 0 41.199 * * [simplify]: Extracting #2: cost 46 inf + 2 41.200 * * [simplify]: Extracting #3: cost 53 inf + 5 41.200 * * [simplify]: Extracting #4: cost 55 inf + 6 41.201 * * [simplify]: Extracting #5: cost 56 inf + 7 41.201 * * [simplify]: Extracting #6: cost 58 inf + 7 41.202 * * [simplify]: Extracting #7: cost 51 inf + 754 41.203 * * [simplify]: Extracting #8: cost 44 inf + 2080 41.205 * * [simplify]: Extracting #9: cost 29 inf + 7787 41.212 * * [simplify]: Extracting #10: cost 10 inf + 17618 41.220 * * [simplify]: Extracting #11: cost 0 inf + 24796 41.229 * [simplify]: Simplified to (/ (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 41.229 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (cbrt (/ (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.229 * * * * [progress]: [ 12 / 267 ] simplifiying candidate # 41.229 * * * * [progress]: [ 13 / 267 ] simplifiying candidate # 41.229 * * * * [progress]: [ 14 / 267 ] simplifiying candidate # 41.229 * * * * [progress]: [ 15 / 267 ] simplifiying candidate # 41.230 * * * * [progress]: [ 16 / 267 ] simplifiying candidate # 41.230 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 41.230 * * [simplify]: iters left: 6 (14 enodes) 41.238 * * [simplify]: iters left: 5 (52 enodes) 41.255 * * [simplify]: iters left: 4 (68 enodes) 41.280 * * [simplify]: iters left: 3 (96 enodes) 41.309 * * [simplify]: iters left: 2 (101 enodes) 41.320 * * [simplify]: Extracting #0: cost 1 inf + 0 41.320 * * [simplify]: Extracting #1: cost 6 inf + 0 41.320 * * [simplify]: Extracting #2: cost 9 inf + 1 41.320 * * [simplify]: Extracting #3: cost 11 inf + 1 41.320 * * [simplify]: Extracting #4: cost 13 inf + 1 41.320 * * [simplify]: Extracting #5: cost 15 inf + 1 41.320 * * [simplify]: Extracting #6: cost 18 inf + 1 41.321 * * [simplify]: Extracting #7: cost 19 inf + 2 41.321 * * [simplify]: Extracting #8: cost 21 inf + 2 41.321 * * [simplify]: Extracting #9: cost 19 inf + 60 41.321 * * [simplify]: Extracting #10: cost 16 inf + 313 41.321 * * [simplify]: Extracting #11: cost 11 inf + 1163 41.321 * * [simplify]: Extracting #12: cost 7 inf + 2235 41.322 * * [simplify]: Extracting #13: cost 1 inf + 4503 41.323 * * [simplify]: Extracting #14: cost 0 inf + 4921 41.324 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 41.324 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (cbrt 1) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.324 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 41.324 * * [simplify]: iters left: 6 (12 enodes) 41.328 * * [simplify]: iters left: 5 (40 enodes) 41.334 * * [simplify]: iters left: 4 (42 enodes) 41.340 * * [simplify]: Extracting #0: cost 1 inf + 0 41.340 * * [simplify]: Extracting #1: cost 4 inf + 0 41.340 * * [simplify]: Extracting #2: cost 5 inf + 1 41.341 * * [simplify]: Extracting #3: cost 7 inf + 1 41.341 * * [simplify]: Extracting #4: cost 9 inf + 1 41.341 * * [simplify]: Extracting #5: cost 11 inf + 1 41.341 * * [simplify]: Extracting #6: cost 14 inf + 1 41.341 * * [simplify]: Extracting #7: cost 15 inf + 2 41.341 * * [simplify]: Extracting #8: cost 17 inf + 2 41.341 * * [simplify]: Extracting #9: cost 16 inf + 3 41.341 * * [simplify]: Extracting #10: cost 12 inf + 313 41.341 * * [simplify]: Extracting #11: cost 8 inf + 945 41.341 * * [simplify]: Extracting #12: cost 4 inf + 1897 41.342 * * [simplify]: Extracting #13: cost 2 inf + 2613 41.342 * * [simplify]: Extracting #14: cost 0 inf + 3329 41.343 * [simplify]: Simplified to (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 41.343 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.343 * * * * [progress]: [ 17 / 267 ] simplifiying candidate # 41.343 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 41.343 * * [simplify]: iters left: 6 (14 enodes) 41.351 * * [simplify]: iters left: 5 (49 enodes) 41.366 * * [simplify]: iters left: 4 (51 enodes) 41.380 * * [simplify]: Extracting #0: cost 1 inf + 0 41.380 * * [simplify]: Extracting #1: cost 4 inf + 0 41.380 * * [simplify]: Extracting #2: cost 6 inf + 1 41.380 * * [simplify]: Extracting #3: cost 9 inf + 1 41.380 * * [simplify]: Extracting #4: cost 11 inf + 1 41.380 * * [simplify]: Extracting #5: cost 13 inf + 1 41.380 * * [simplify]: Extracting #6: cost 16 inf + 1 41.381 * * [simplify]: Extracting #7: cost 17 inf + 2 41.381 * * [simplify]: Extracting #8: cost 19 inf + 2 41.381 * * [simplify]: Extracting #9: cost 17 inf + 60 41.381 * * [simplify]: Extracting #10: cost 14 inf + 353 41.381 * * [simplify]: Extracting #11: cost 9 inf + 1163 41.382 * * [simplify]: Extracting #12: cost 2 inf + 3369 41.383 * * [simplify]: Extracting #13: cost 0 inf + 4085 41.385 * [simplify]: Simplified to (/ 1 (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 41.385 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ 1 (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (cbrt 1) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.385 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 41.385 * * [simplify]: iters left: 6 (12 enodes) 41.392 * * [simplify]: iters left: 5 (40 enodes) 41.407 * * [simplify]: iters left: 4 (42 enodes) 41.414 * * [simplify]: Extracting #0: cost 1 inf + 0 41.414 * * [simplify]: Extracting #1: cost 4 inf + 0 41.414 * * [simplify]: Extracting #2: cost 5 inf + 1 41.414 * * [simplify]: Extracting #3: cost 7 inf + 1 41.414 * * [simplify]: Extracting #4: cost 9 inf + 1 41.414 * * [simplify]: Extracting #5: cost 11 inf + 1 41.414 * * [simplify]: Extracting #6: cost 14 inf + 1 41.414 * * [simplify]: Extracting #7: cost 15 inf + 2 41.414 * * [simplify]: Extracting #8: cost 17 inf + 2 41.415 * * [simplify]: Extracting #9: cost 16 inf + 3 41.415 * * [simplify]: Extracting #10: cost 12 inf + 313 41.415 * * [simplify]: Extracting #11: cost 8 inf + 945 41.415 * * [simplify]: Extracting #12: cost 4 inf + 1977 41.415 * * [simplify]: Extracting #13: cost 2 inf + 2693 41.416 * * [simplify]: Extracting #14: cost 0 inf + 3409 41.416 * [simplify]: Simplified to (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 41.417 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.417 * * * * [progress]: [ 18 / 267 ] simplifiying candidate # 41.417 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 41.417 * * [simplify]: iters left: 6 (13 enodes) 41.421 * * [simplify]: iters left: 5 (45 enodes) 41.429 * * [simplify]: iters left: 4 (47 enodes) 41.435 * * [simplify]: Extracting #0: cost 1 inf + 0 41.435 * * [simplify]: Extracting #1: cost 4 inf + 0 41.435 * * [simplify]: Extracting #2: cost 5 inf + 1 41.435 * * [simplify]: Extracting #3: cost 7 inf + 1 41.435 * * [simplify]: Extracting #4: cost 9 inf + 1 41.436 * * [simplify]: Extracting #5: cost 11 inf + 1 41.436 * * [simplify]: Extracting #6: cost 14 inf + 1 41.436 * * [simplify]: Extracting #7: cost 15 inf + 2 41.436 * * [simplify]: Extracting #8: cost 17 inf + 2 41.436 * * [simplify]: Extracting #9: cost 15 inf + 60 41.436 * * [simplify]: Extracting #10: cost 12 inf + 353 41.436 * * [simplify]: Extracting #11: cost 8 inf + 985 41.436 * * [simplify]: Extracting #12: cost 3 inf + 2235 41.437 * * [simplify]: Extracting #13: cost 1 inf + 2831 41.437 * * [simplify]: Extracting #14: cost 0 inf + 3169 41.438 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 41.438 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (cbrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.438 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 41.438 * * [simplify]: iters left: 6 (12 enodes) 41.442 * * [simplify]: iters left: 5 (40 enodes) 41.451 * * [simplify]: iters left: 4 (42 enodes) 41.461 * * [simplify]: Extracting #0: cost 1 inf + 0 41.461 * * [simplify]: Extracting #1: cost 4 inf + 0 41.461 * * [simplify]: Extracting #2: cost 5 inf + 1 41.461 * * [simplify]: Extracting #3: cost 7 inf + 1 41.461 * * [simplify]: Extracting #4: cost 9 inf + 1 41.461 * * [simplify]: Extracting #5: cost 11 inf + 1 41.461 * * [simplify]: Extracting #6: cost 14 inf + 1 41.462 * * [simplify]: Extracting #7: cost 15 inf + 2 41.462 * * [simplify]: Extracting #8: cost 17 inf + 2 41.462 * * [simplify]: Extracting #9: cost 16 inf + 3 41.462 * * [simplify]: Extracting #10: cost 12 inf + 313 41.462 * * [simplify]: Extracting #11: cost 8 inf + 945 41.462 * * [simplify]: Extracting #12: cost 4 inf + 1897 41.463 * * [simplify]: Extracting #13: cost 2 inf + 2533 41.463 * * [simplify]: Extracting #14: cost 0 inf + 3169 41.464 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 41.464 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.464 * * * * [progress]: [ 19 / 267 ] simplifiying candidate # 41.464 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 41.464 * * [simplify]: iters left: 5 (5 enodes) 41.469 * * [simplify]: iters left: 4 (19 enodes) 41.472 * * [simplify]: iters left: 3 (21 enodes) 41.474 * * [simplify]: Extracting #0: cost 1 inf + 0 41.474 * * [simplify]: Extracting #1: cost 0 inf + 1 41.474 * [simplify]: Simplified to 1 41.475 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* 1 (/ (cbrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.475 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 41.475 * * [simplify]: iters left: 6 (11 enodes) 41.478 * * [simplify]: iters left: 5 (37 enodes) 41.484 * * [simplify]: iters left: 4 (39 enodes) 41.492 * * [simplify]: Extracting #0: cost 1 inf + 0 41.492 * * [simplify]: Extracting #1: cost 4 inf + 0 41.492 * * [simplify]: Extracting #2: cost 5 inf + 1 41.492 * * [simplify]: Extracting #3: cost 7 inf + 1 41.492 * * [simplify]: Extracting #4: cost 9 inf + 1 41.492 * * [simplify]: Extracting #5: cost 12 inf + 1 41.493 * * [simplify]: Extracting #6: cost 13 inf + 2 41.493 * * [simplify]: Extracting #7: cost 15 inf + 2 41.493 * * [simplify]: Extracting #8: cost 14 inf + 3 41.493 * * [simplify]: Extracting #9: cost 12 inf + 158 41.493 * * [simplify]: Extracting #10: cost 7 inf + 767 41.494 * * [simplify]: Extracting #11: cost 3 inf + 1639 41.494 * * [simplify]: Extracting #12: cost 0 inf + 2493 41.495 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 41.495 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.495 * * * * [progress]: [ 20 / 267 ] simplifiying candidate # 41.496 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 1))) 41.496 * * [simplify]: iters left: 5 (6 enodes) 41.502 * * [simplify]: iters left: 4 (22 enodes) 41.512 * * [simplify]: iters left: 3 (24 enodes) 41.517 * * [simplify]: Extracting #0: cost 1 inf + 0 41.517 * * [simplify]: Extracting #1: cost 0 inf + 1 41.517 * [simplify]: Simplified to 1 41.517 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* 1 (/ (cbrt 1) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.518 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 41.518 * * [simplify]: iters left: 6 (12 enodes) 41.527 * * [simplify]: iters left: 5 (40 enodes) 41.538 * * [simplify]: iters left: 4 (42 enodes) 41.550 * * [simplify]: Extracting #0: cost 1 inf + 0 41.550 * * [simplify]: Extracting #1: cost 4 inf + 0 41.550 * * [simplify]: Extracting #2: cost 5 inf + 1 41.550 * * [simplify]: Extracting #3: cost 7 inf + 1 41.550 * * [simplify]: Extracting #4: cost 9 inf + 1 41.550 * * [simplify]: Extracting #5: cost 12 inf + 1 41.550 * * [simplify]: Extracting #6: cost 13 inf + 2 41.550 * * [simplify]: Extracting #7: cost 15 inf + 2 41.551 * * [simplify]: Extracting #8: cost 12 inf + 117 41.551 * * [simplify]: Extracting #9: cost 8 inf + 589 41.551 * * [simplify]: Extracting #10: cost 4 inf + 1381 41.552 * * [simplify]: Extracting #11: cost 2 inf + 1937 41.553 * * [simplify]: Extracting #12: cost 0 inf + 2493 41.553 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 41.553 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.554 * * * * [progress]: [ 21 / 267 ] simplifiying candidate # 41.554 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 1))) 41.554 * * [simplify]: iters left: 5 (6 enodes) 41.560 * * [simplify]: iters left: 4 (22 enodes) 41.567 * * [simplify]: iters left: 3 (24 enodes) 41.572 * * [simplify]: Extracting #0: cost 1 inf + 0 41.572 * * [simplify]: Extracting #1: cost 0 inf + 1 41.572 * [simplify]: Simplified to 1 41.572 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* 1 (/ (cbrt 1) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.572 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 41.573 * * [simplify]: iters left: 6 (12 enodes) 41.581 * * [simplify]: iters left: 5 (40 enodes) 41.592 * * [simplify]: iters left: 4 (42 enodes) 41.599 * * [simplify]: Extracting #0: cost 1 inf + 0 41.599 * * [simplify]: Extracting #1: cost 4 inf + 0 41.599 * * [simplify]: Extracting #2: cost 5 inf + 1 41.599 * * [simplify]: Extracting #3: cost 7 inf + 1 41.599 * * [simplify]: Extracting #4: cost 9 inf + 1 41.599 * * [simplify]: Extracting #5: cost 12 inf + 1 41.599 * * [simplify]: Extracting #6: cost 13 inf + 2 41.599 * * [simplify]: Extracting #7: cost 15 inf + 2 41.599 * * [simplify]: Extracting #8: cost 12 inf + 117 41.599 * * [simplify]: Extracting #9: cost 8 inf + 589 41.599 * * [simplify]: Extracting #10: cost 4 inf + 1381 41.600 * * [simplify]: Extracting #11: cost 2 inf + 1937 41.600 * * [simplify]: Extracting #12: cost 0 inf + 2493 41.600 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 41.600 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.601 * * * * [progress]: [ 22 / 267 ] simplifiying candidate # 41.601 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 41.601 * * [simplify]: iters left: 5 (5 enodes) 41.606 * * [simplify]: iters left: 4 (19 enodes) 41.609 * * [simplify]: iters left: 3 (21 enodes) 41.612 * * [simplify]: Extracting #0: cost 1 inf + 0 41.612 * * [simplify]: Extracting #1: cost 0 inf + 1 41.612 * [simplify]: Simplified to 1 41.612 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* 1 (/ (cbrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.612 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 41.612 * * [simplify]: iters left: 6 (11 enodes) 41.615 * * [simplify]: iters left: 5 (37 enodes) 41.621 * * [simplify]: iters left: 4 (39 enodes) 41.626 * * [simplify]: Extracting #0: cost 1 inf + 0 41.626 * * [simplify]: Extracting #1: cost 4 inf + 0 41.626 * * [simplify]: Extracting #2: cost 5 inf + 1 41.626 * * [simplify]: Extracting #3: cost 7 inf + 1 41.627 * * [simplify]: Extracting #4: cost 9 inf + 1 41.627 * * [simplify]: Extracting #5: cost 12 inf + 1 41.627 * * [simplify]: Extracting #6: cost 13 inf + 2 41.627 * * [simplify]: Extracting #7: cost 15 inf + 2 41.627 * * [simplify]: Extracting #8: cost 14 inf + 3 41.627 * * [simplify]: Extracting #9: cost 12 inf + 158 41.627 * * [simplify]: Extracting #10: cost 7 inf + 767 41.627 * * [simplify]: Extracting #11: cost 3 inf + 1639 41.628 * * [simplify]: Extracting #12: cost 0 inf + 2493 41.628 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 41.628 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.628 * * * * [progress]: [ 23 / 267 ] simplifiying candidate # 41.628 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 41.628 * * [simplify]: iters left: 6 (13 enodes) 41.634 * * [simplify]: iters left: 5 (45 enodes) 41.642 * * [simplify]: iters left: 4 (47 enodes) 41.648 * * [simplify]: Extracting #0: cost 1 inf + 0 41.648 * * [simplify]: Extracting #1: cost 4 inf + 0 41.648 * * [simplify]: Extracting #2: cost 5 inf + 1 41.648 * * [simplify]: Extracting #3: cost 7 inf + 1 41.648 * * [simplify]: Extracting #4: cost 9 inf + 1 41.649 * * [simplify]: Extracting #5: cost 11 inf + 1 41.649 * * [simplify]: Extracting #6: cost 14 inf + 1 41.649 * * [simplify]: Extracting #7: cost 15 inf + 2 41.649 * * [simplify]: Extracting #8: cost 17 inf + 2 41.649 * * [simplify]: Extracting #9: cost 15 inf + 60 41.649 * * [simplify]: Extracting #10: cost 12 inf + 353 41.649 * * [simplify]: Extracting #11: cost 8 inf + 985 41.649 * * [simplify]: Extracting #12: cost 3 inf + 2235 41.650 * * [simplify]: Extracting #13: cost 1 inf + 2831 41.650 * * [simplify]: Extracting #14: cost 0 inf + 3169 41.651 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 41.651 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (cbrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.651 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 41.651 * * [simplify]: iters left: 6 (12 enodes) 41.654 * * [simplify]: iters left: 5 (40 enodes) 41.660 * * [simplify]: iters left: 4 (42 enodes) 41.666 * * [simplify]: Extracting #0: cost 1 inf + 0 41.666 * * [simplify]: Extracting #1: cost 4 inf + 0 41.666 * * [simplify]: Extracting #2: cost 5 inf + 1 41.666 * * [simplify]: Extracting #3: cost 7 inf + 1 41.666 * * [simplify]: Extracting #4: cost 9 inf + 1 41.666 * * [simplify]: Extracting #5: cost 11 inf + 1 41.666 * * [simplify]: Extracting #6: cost 14 inf + 1 41.666 * * [simplify]: Extracting #7: cost 15 inf + 2 41.667 * * [simplify]: Extracting #8: cost 17 inf + 2 41.667 * * [simplify]: Extracting #9: cost 16 inf + 3 41.667 * * [simplify]: Extracting #10: cost 12 inf + 313 41.667 * * [simplify]: Extracting #11: cost 8 inf + 945 41.667 * * [simplify]: Extracting #12: cost 4 inf + 1897 41.667 * * [simplify]: Extracting #13: cost 2 inf + 2533 41.668 * * [simplify]: Extracting #14: cost 0 inf + 3169 41.668 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 41.669 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.669 * * * * [progress]: [ 24 / 267 ] simplifiying candidate # 41.669 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 41.669 * * [simplify]: iters left: 5 (4 enodes) 41.673 * * [simplify]: iters left: 4 (14 enodes) 41.675 * * [simplify]: iters left: 3 (16 enodes) 41.677 * * [simplify]: Extracting #0: cost 1 inf + 0 41.677 * * [simplify]: Extracting #1: cost 0 inf + 1 41.677 * [simplify]: Simplified to 1 41.677 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* 1 (/ (cbrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.677 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 41.677 * * [simplify]: iters left: 6 (11 enodes) 41.681 * * [simplify]: iters left: 5 (37 enodes) 41.686 * * [simplify]: iters left: 4 (39 enodes) 41.692 * * [simplify]: Extracting #0: cost 1 inf + 0 41.692 * * [simplify]: Extracting #1: cost 4 inf + 0 41.692 * * [simplify]: Extracting #2: cost 5 inf + 1 41.692 * * [simplify]: Extracting #3: cost 7 inf + 1 41.692 * * [simplify]: Extracting #4: cost 9 inf + 1 41.692 * * [simplify]: Extracting #5: cost 12 inf + 1 41.692 * * [simplify]: Extracting #6: cost 13 inf + 2 41.693 * * [simplify]: Extracting #7: cost 15 inf + 2 41.693 * * [simplify]: Extracting #8: cost 14 inf + 3 41.693 * * [simplify]: Extracting #9: cost 12 inf + 158 41.693 * * [simplify]: Extracting #10: cost 7 inf + 767 41.693 * * [simplify]: Extracting #11: cost 3 inf + 1639 41.693 * * [simplify]: Extracting #12: cost 0 inf + 2493 41.694 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 41.694 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.694 * * * * [progress]: [ 25 / 267 ] simplifiying candidate # 41.694 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 41.694 * * [simplify]: iters left: 6 (13 enodes) 41.698 * * [simplify]: iters left: 5 (45 enodes) 41.709 * * [simplify]: iters left: 4 (52 enodes) 41.723 * * [simplify]: iters left: 3 (54 enodes) 41.741 * * [simplify]: Extracting #0: cost 1 inf + 0 41.741 * * [simplify]: Extracting #1: cost 7 inf + 0 41.741 * * [simplify]: Extracting #2: cost 11 inf + 1 41.741 * * [simplify]: Extracting #3: cost 13 inf + 1 41.742 * * [simplify]: Extracting #4: cost 15 inf + 1 41.742 * * [simplify]: Extracting #5: cost 17 inf + 1 41.742 * * [simplify]: Extracting #6: cost 20 inf + 1 41.742 * * [simplify]: Extracting #7: cost 21 inf + 2 41.742 * * [simplify]: Extracting #8: cost 23 inf + 2 41.742 * * [simplify]: Extracting #9: cost 20 inf + 158 41.743 * * [simplify]: Extracting #10: cost 12 inf + 1421 41.744 * * [simplify]: Extracting #11: cost 3 inf + 4503 41.746 * * [simplify]: Extracting #12: cost 0 inf + 5677 41.747 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 41.747 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt 1) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.748 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 41.748 * * [simplify]: iters left: 6 (12 enodes) 41.755 * * [simplify]: iters left: 5 (40 enodes) 41.766 * * [simplify]: iters left: 4 (42 enodes) 41.772 * * [simplify]: Extracting #0: cost 1 inf + 0 41.772 * * [simplify]: Extracting #1: cost 4 inf + 0 41.772 * * [simplify]: Extracting #2: cost 5 inf + 1 41.772 * * [simplify]: Extracting #3: cost 7 inf + 1 41.772 * * [simplify]: Extracting #4: cost 9 inf + 1 41.772 * * [simplify]: Extracting #5: cost 11 inf + 1 41.772 * * [simplify]: Extracting #6: cost 14 inf + 1 41.772 * * [simplify]: Extracting #7: cost 15 inf + 2 41.772 * * [simplify]: Extracting #8: cost 17 inf + 2 41.772 * * [simplify]: Extracting #9: cost 16 inf + 3 41.772 * * [simplify]: Extracting #10: cost 12 inf + 313 41.772 * * [simplify]: Extracting #11: cost 8 inf + 945 41.773 * * [simplify]: Extracting #12: cost 4 inf + 1897 41.773 * * [simplify]: Extracting #13: cost 2 inf + 2613 41.773 * * [simplify]: Extracting #14: cost 0 inf + 3329 41.774 * [simplify]: Simplified to (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 41.774 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt 1) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.774 * * * * [progress]: [ 26 / 267 ] simplifiying candidate # 41.774 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 41.774 * * [simplify]: iters left: 6 (13 enodes) 41.779 * * [simplify]: iters left: 5 (44 enodes) 41.785 * * [simplify]: iters left: 4 (46 enodes) 41.793 * * [simplify]: Extracting #0: cost 1 inf + 0 41.793 * * [simplify]: Extracting #1: cost 4 inf + 0 41.793 * * [simplify]: Extracting #2: cost 6 inf + 1 41.793 * * [simplify]: Extracting #3: cost 9 inf + 1 41.793 * * [simplify]: Extracting #4: cost 11 inf + 1 41.793 * * [simplify]: Extracting #5: cost 13 inf + 1 41.793 * * [simplify]: Extracting #6: cost 16 inf + 1 41.794 * * [simplify]: Extracting #7: cost 17 inf + 2 41.794 * * [simplify]: Extracting #8: cost 19 inf + 2 41.794 * * [simplify]: Extracting #9: cost 18 inf + 3 41.794 * * [simplify]: Extracting #10: cost 15 inf + 215 41.794 * * [simplify]: Extracting #11: cost 11 inf + 767 41.795 * * [simplify]: Extracting #12: cost 6 inf + 2017 41.796 * * [simplify]: Extracting #13: cost 0 inf + 4085 41.797 * [simplify]: Simplified to (/ 1 (fabs (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 41.797 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ 1 (fabs (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt 1) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.798 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 41.798 * * [simplify]: iters left: 6 (12 enodes) 41.804 * * [simplify]: iters left: 5 (40 enodes) 41.816 * * [simplify]: iters left: 4 (42 enodes) 41.827 * * [simplify]: Extracting #0: cost 1 inf + 0 41.828 * * [simplify]: Extracting #1: cost 4 inf + 0 41.828 * * [simplify]: Extracting #2: cost 5 inf + 1 41.828 * * [simplify]: Extracting #3: cost 7 inf + 1 41.828 * * [simplify]: Extracting #4: cost 9 inf + 1 41.828 * * [simplify]: Extracting #5: cost 11 inf + 1 41.828 * * [simplify]: Extracting #6: cost 14 inf + 1 41.828 * * [simplify]: Extracting #7: cost 15 inf + 2 41.828 * * [simplify]: Extracting #8: cost 17 inf + 2 41.828 * * [simplify]: Extracting #9: cost 16 inf + 3 41.828 * * [simplify]: Extracting #10: cost 12 inf + 313 41.829 * * [simplify]: Extracting #11: cost 8 inf + 945 41.829 * * [simplify]: Extracting #12: cost 4 inf + 1977 41.830 * * [simplify]: Extracting #13: cost 2 inf + 2693 41.831 * * [simplify]: Extracting #14: cost 0 inf + 3409 41.832 * [simplify]: Simplified to (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 41.832 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ 1 (fabs (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.832 * * * * [progress]: [ 27 / 267 ] simplifiying candidate # 41.833 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 41.833 * * [simplify]: iters left: 6 (12 enodes) 41.839 * * [simplify]: iters left: 5 (40 enodes) 41.851 * * [simplify]: iters left: 4 (42 enodes) 41.862 * * [simplify]: Extracting #0: cost 1 inf + 0 41.862 * * [simplify]: Extracting #1: cost 4 inf + 0 41.862 * * [simplify]: Extracting #2: cost 5 inf + 1 41.863 * * [simplify]: Extracting #3: cost 7 inf + 1 41.863 * * [simplify]: Extracting #4: cost 9 inf + 1 41.863 * * [simplify]: Extracting #5: cost 11 inf + 1 41.863 * * [simplify]: Extracting #6: cost 14 inf + 1 41.863 * * [simplify]: Extracting #7: cost 15 inf + 2 41.863 * * [simplify]: Extracting #8: cost 17 inf + 2 41.863 * * [simplify]: Extracting #9: cost 16 inf + 3 41.863 * * [simplify]: Extracting #10: cost 12 inf + 313 41.864 * * [simplify]: Extracting #11: cost 8 inf + 945 41.864 * * [simplify]: Extracting #12: cost 4 inf + 1897 41.865 * * [simplify]: Extracting #13: cost 2 inf + 2533 41.866 * * [simplify]: Extracting #14: cost 0 inf + 3169 41.867 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 41.867 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.867 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 41.867 * * [simplify]: iters left: 6 (12 enodes) 41.877 * * [simplify]: iters left: 5 (40 enodes) 41.887 * * [simplify]: iters left: 4 (42 enodes) 41.893 * * [simplify]: Extracting #0: cost 1 inf + 0 41.893 * * [simplify]: Extracting #1: cost 4 inf + 0 41.893 * * [simplify]: Extracting #2: cost 5 inf + 1 41.893 * * [simplify]: Extracting #3: cost 7 inf + 1 41.893 * * [simplify]: Extracting #4: cost 9 inf + 1 41.893 * * [simplify]: Extracting #5: cost 11 inf + 1 41.893 * * [simplify]: Extracting #6: cost 14 inf + 1 41.893 * * [simplify]: Extracting #7: cost 15 inf + 2 41.893 * * [simplify]: Extracting #8: cost 17 inf + 2 41.893 * * [simplify]: Extracting #9: cost 16 inf + 3 41.893 * * [simplify]: Extracting #10: cost 12 inf + 313 41.893 * * [simplify]: Extracting #11: cost 8 inf + 945 41.894 * * [simplify]: Extracting #12: cost 4 inf + 1897 41.894 * * [simplify]: Extracting #13: cost 2 inf + 2533 41.895 * * [simplify]: Extracting #14: cost 0 inf + 3169 41.895 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 41.895 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.895 * * * * [progress]: [ 28 / 267 ] simplifiying candidate # 41.895 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 41.895 * * [simplify]: iters left: 3 (3 enodes) 41.898 * * [simplify]: iters left: 2 (9 enodes) 41.899 * * [simplify]: iters left: 1 (11 enodes) 41.901 * * [simplify]: Extracting #0: cost 1 inf + 0 41.901 * * [simplify]: Extracting #1: cost 0 inf + 1 41.901 * [simplify]: Simplified to 1 41.901 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* 1 (/ (sqrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.901 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 41.901 * * [simplify]: iters left: 6 (11 enodes) 41.904 * * [simplify]: iters left: 5 (37 enodes) 41.910 * * [simplify]: iters left: 4 (39 enodes) 41.916 * * [simplify]: Extracting #0: cost 1 inf + 0 41.916 * * [simplify]: Extracting #1: cost 4 inf + 0 41.916 * * [simplify]: Extracting #2: cost 5 inf + 1 41.916 * * [simplify]: Extracting #3: cost 7 inf + 1 41.916 * * [simplify]: Extracting #4: cost 9 inf + 1 41.916 * * [simplify]: Extracting #5: cost 12 inf + 1 41.917 * * [simplify]: Extracting #6: cost 13 inf + 2 41.917 * * [simplify]: Extracting #7: cost 15 inf + 2 41.917 * * [simplify]: Extracting #8: cost 14 inf + 3 41.917 * * [simplify]: Extracting #9: cost 12 inf + 158 41.917 * * [simplify]: Extracting #10: cost 7 inf + 767 41.918 * * [simplify]: Extracting #11: cost 3 inf + 1639 41.918 * * [simplify]: Extracting #12: cost 0 inf + 2493 41.919 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 41.919 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.919 * * * * [progress]: [ 29 / 267 ] simplifiying candidate # 41.920 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt 1))) 41.920 * * [simplify]: iters left: 4 (4 enodes) 41.923 * * [simplify]: iters left: 3 (14 enodes) 41.926 * * [simplify]: iters left: 2 (16 enodes) 41.930 * * [simplify]: Extracting #0: cost 1 inf + 0 41.930 * * [simplify]: Extracting #1: cost 0 inf + 1 41.930 * [simplify]: Simplified to 1 41.930 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* 1 (/ (sqrt 1) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.931 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 41.931 * * [simplify]: iters left: 6 (11 enodes) 41.938 * * [simplify]: iters left: 5 (37 enodes) 41.948 * * [simplify]: iters left: 4 (39 enodes) 41.960 * * [simplify]: Extracting #0: cost 1 inf + 0 41.961 * * [simplify]: Extracting #1: cost 4 inf + 0 41.961 * * [simplify]: Extracting #2: cost 5 inf + 1 41.961 * * [simplify]: Extracting #3: cost 7 inf + 1 41.961 * * [simplify]: Extracting #4: cost 9 inf + 1 41.961 * * [simplify]: Extracting #5: cost 12 inf + 1 41.961 * * [simplify]: Extracting #6: cost 13 inf + 2 41.961 * * [simplify]: Extracting #7: cost 15 inf + 2 41.961 * * [simplify]: Extracting #8: cost 14 inf + 3 41.961 * * [simplify]: Extracting #9: cost 12 inf + 158 41.961 * * [simplify]: Extracting #10: cost 7 inf + 767 41.962 * * [simplify]: Extracting #11: cost 3 inf + 1639 41.963 * * [simplify]: Extracting #12: cost 0 inf + 2493 41.964 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 41.964 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.964 * * * * [progress]: [ 30 / 267 ] simplifiying candidate # 41.964 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt 1))) 41.964 * * [simplify]: iters left: 4 (4 enodes) 41.968 * * [simplify]: iters left: 3 (14 enodes) 41.972 * * [simplify]: iters left: 2 (16 enodes) 41.976 * * [simplify]: Extracting #0: cost 1 inf + 0 41.976 * * [simplify]: Extracting #1: cost 0 inf + 1 41.976 * [simplify]: Simplified to 1 41.976 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* 1 (/ (sqrt 1) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.976 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 41.976 * * [simplify]: iters left: 6 (11 enodes) 41.982 * * [simplify]: iters left: 5 (37 enodes) 41.987 * * [simplify]: iters left: 4 (39 enodes) 41.996 * * [simplify]: Extracting #0: cost 1 inf + 0 41.996 * * [simplify]: Extracting #1: cost 4 inf + 0 41.996 * * [simplify]: Extracting #2: cost 5 inf + 1 41.996 * * [simplify]: Extracting #3: cost 7 inf + 1 41.996 * * [simplify]: Extracting #4: cost 9 inf + 1 41.996 * * [simplify]: Extracting #5: cost 12 inf + 1 41.996 * * [simplify]: Extracting #6: cost 13 inf + 2 41.996 * * [simplify]: Extracting #7: cost 15 inf + 2 41.996 * * [simplify]: Extracting #8: cost 14 inf + 3 41.996 * * [simplify]: Extracting #9: cost 12 inf + 158 41.996 * * [simplify]: Extracting #10: cost 7 inf + 767 41.997 * * [simplify]: Extracting #11: cost 3 inf + 1639 41.997 * * [simplify]: Extracting #12: cost 0 inf + 2493 41.997 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 41.997 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 41.998 * * * * [progress]: [ 31 / 267 ] simplifiying candidate # 41.998 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 41.998 * * [simplify]: iters left: 3 (3 enodes) 42.000 * * [simplify]: iters left: 2 (9 enodes) 42.001 * * [simplify]: iters left: 1 (11 enodes) 42.003 * * [simplify]: Extracting #0: cost 1 inf + 0 42.003 * * [simplify]: Extracting #1: cost 0 inf + 1 42.003 * [simplify]: Simplified to 1 42.003 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* 1 (/ (sqrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.003 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 42.003 * * [simplify]: iters left: 6 (11 enodes) 42.007 * * [simplify]: iters left: 5 (37 enodes) 42.012 * * [simplify]: iters left: 4 (39 enodes) 42.020 * * [simplify]: Extracting #0: cost 1 inf + 0 42.020 * * [simplify]: Extracting #1: cost 4 inf + 0 42.020 * * [simplify]: Extracting #2: cost 5 inf + 1 42.020 * * [simplify]: Extracting #3: cost 7 inf + 1 42.020 * * [simplify]: Extracting #4: cost 9 inf + 1 42.020 * * [simplify]: Extracting #5: cost 12 inf + 1 42.020 * * [simplify]: Extracting #6: cost 13 inf + 2 42.021 * * [simplify]: Extracting #7: cost 15 inf + 2 42.021 * * [simplify]: Extracting #8: cost 14 inf + 3 42.021 * * [simplify]: Extracting #9: cost 12 inf + 158 42.021 * * [simplify]: Extracting #10: cost 7 inf + 767 42.021 * * [simplify]: Extracting #11: cost 3 inf + 1639 42.022 * * [simplify]: Extracting #12: cost 0 inf + 2493 42.023 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 42.023 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.023 * * * * [progress]: [ 32 / 267 ] simplifiying candidate # 42.024 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 42.024 * * [simplify]: iters left: 6 (12 enodes) 42.030 * * [simplify]: iters left: 5 (40 enodes) 42.041 * * [simplify]: iters left: 4 (42 enodes) 42.053 * * [simplify]: Extracting #0: cost 1 inf + 0 42.053 * * [simplify]: Extracting #1: cost 4 inf + 0 42.053 * * [simplify]: Extracting #2: cost 5 inf + 1 42.053 * * [simplify]: Extracting #3: cost 7 inf + 1 42.053 * * [simplify]: Extracting #4: cost 9 inf + 1 42.053 * * [simplify]: Extracting #5: cost 11 inf + 1 42.053 * * [simplify]: Extracting #6: cost 14 inf + 1 42.053 * * [simplify]: Extracting #7: cost 15 inf + 2 42.053 * * [simplify]: Extracting #8: cost 17 inf + 2 42.053 * * [simplify]: Extracting #9: cost 16 inf + 3 42.054 * * [simplify]: Extracting #10: cost 12 inf + 313 42.054 * * [simplify]: Extracting #11: cost 8 inf + 945 42.054 * * [simplify]: Extracting #12: cost 4 inf + 1897 42.055 * * [simplify]: Extracting #13: cost 2 inf + 2533 42.056 * * [simplify]: Extracting #14: cost 0 inf + 3169 42.057 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 42.057 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.058 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 42.058 * * [simplify]: iters left: 6 (12 enodes) 42.064 * * [simplify]: iters left: 5 (40 enodes) 42.077 * * [simplify]: iters left: 4 (42 enodes) 42.088 * * [simplify]: Extracting #0: cost 1 inf + 0 42.088 * * [simplify]: Extracting #1: cost 4 inf + 0 42.088 * * [simplify]: Extracting #2: cost 5 inf + 1 42.088 * * [simplify]: Extracting #3: cost 7 inf + 1 42.088 * * [simplify]: Extracting #4: cost 9 inf + 1 42.088 * * [simplify]: Extracting #5: cost 11 inf + 1 42.088 * * [simplify]: Extracting #6: cost 14 inf + 1 42.088 * * [simplify]: Extracting #7: cost 15 inf + 2 42.088 * * [simplify]: Extracting #8: cost 17 inf + 2 42.088 * * [simplify]: Extracting #9: cost 16 inf + 3 42.088 * * [simplify]: Extracting #10: cost 12 inf + 313 42.089 * * [simplify]: Extracting #11: cost 8 inf + 945 42.089 * * [simplify]: Extracting #12: cost 4 inf + 1897 42.089 * * [simplify]: Extracting #13: cost 2 inf + 2533 42.090 * * [simplify]: Extracting #14: cost 0 inf + 3169 42.090 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 42.090 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.090 * * * * [progress]: [ 33 / 267 ] simplifiying candidate # 42.091 * [simplify]: Simplifying (/ (sqrt 1) 1) 42.091 * * [simplify]: iters left: 3 (3 enodes) 42.093 * * [simplify]: iters left: 2 (9 enodes) 42.094 * * [simplify]: iters left: 1 (11 enodes) 42.096 * * [simplify]: Extracting #0: cost 1 inf + 0 42.096 * * [simplify]: Extracting #1: cost 0 inf + 1 42.096 * [simplify]: Simplified to 1 42.096 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* 1 (/ (sqrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.096 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 42.096 * * [simplify]: iters left: 6 (11 enodes) 42.100 * * [simplify]: iters left: 5 (37 enodes) 42.105 * * [simplify]: iters left: 4 (39 enodes) 42.114 * * [simplify]: Extracting #0: cost 1 inf + 0 42.114 * * [simplify]: Extracting #1: cost 4 inf + 0 42.114 * * [simplify]: Extracting #2: cost 5 inf + 1 42.114 * * [simplify]: Extracting #3: cost 7 inf + 1 42.114 * * [simplify]: Extracting #4: cost 9 inf + 1 42.114 * * [simplify]: Extracting #5: cost 12 inf + 1 42.114 * * [simplify]: Extracting #6: cost 13 inf + 2 42.114 * * [simplify]: Extracting #7: cost 15 inf + 2 42.114 * * [simplify]: Extracting #8: cost 14 inf + 3 42.114 * * [simplify]: Extracting #9: cost 12 inf + 158 42.114 * * [simplify]: Extracting #10: cost 7 inf + 767 42.115 * * [simplify]: Extracting #11: cost 3 inf + 1639 42.115 * * [simplify]: Extracting #12: cost 0 inf + 2493 42.116 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 42.116 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.116 * * * * [progress]: [ 34 / 267 ] simplifiying candidate # 42.116 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 42.117 * * [simplify]: iters left: 6 (12 enodes) 42.122 * * [simplify]: iters left: 5 (42 enodes) 42.134 * * [simplify]: iters left: 4 (46 enodes) 42.140 * * [simplify]: Extracting #0: cost 1 inf + 0 42.140 * * [simplify]: Extracting #1: cost 6 inf + 0 42.140 * * [simplify]: Extracting #2: cost 9 inf + 1 42.141 * * [simplify]: Extracting #3: cost 11 inf + 1 42.141 * * [simplify]: Extracting #4: cost 13 inf + 1 42.141 * * [simplify]: Extracting #5: cost 15 inf + 1 42.141 * * [simplify]: Extracting #6: cost 18 inf + 1 42.141 * * [simplify]: Extracting #7: cost 19 inf + 2 42.141 * * [simplify]: Extracting #8: cost 21 inf + 2 42.141 * * [simplify]: Extracting #9: cost 18 inf + 117 42.141 * * [simplify]: Extracting #10: cost 15 inf + 451 42.141 * * [simplify]: Extracting #11: cost 10 inf + 1381 42.142 * * [simplify]: Extracting #12: cost 6 inf + 2573 42.142 * * [simplify]: Extracting #13: cost 3 inf + 3747 42.143 * * [simplify]: Extracting #14: cost 0 inf + 4921 42.144 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 42.144 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.144 * [simplify]: Simplifying (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 42.144 * * [simplify]: iters left: 6 (11 enodes) 42.147 * * [simplify]: iters left: 5 (37 enodes) 42.153 * * [simplify]: iters left: 4 (39 enodes) 42.159 * * [simplify]: Extracting #0: cost 1 inf + 0 42.159 * * [simplify]: Extracting #1: cost 4 inf + 0 42.159 * * [simplify]: Extracting #2: cost 5 inf + 1 42.159 * * [simplify]: Extracting #3: cost 7 inf + 1 42.159 * * [simplify]: Extracting #4: cost 9 inf + 1 42.159 * * [simplify]: Extracting #5: cost 11 inf + 1 42.159 * * [simplify]: Extracting #6: cost 14 inf + 1 42.159 * * [simplify]: Extracting #7: cost 15 inf + 2 42.159 * * [simplify]: Extracting #8: cost 17 inf + 2 42.159 * * [simplify]: Extracting #9: cost 15 inf + 60 42.159 * * [simplify]: Extracting #10: cost 12 inf + 353 42.159 * * [simplify]: Extracting #11: cost 7 inf + 1163 42.160 * * [simplify]: Extracting #12: cost 3 inf + 2235 42.161 * * [simplify]: Extracting #13: cost 0 inf + 3329 42.162 * [simplify]: Simplified to (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 42.162 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ 1 (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.162 * * * * [progress]: [ 35 / 267 ] simplifiying candidate # 42.162 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 42.163 * * [simplify]: iters left: 6 (12 enodes) 42.168 * * [simplify]: iters left: 5 (41 enodes) 42.181 * * [simplify]: iters left: 4 (43 enodes) 42.193 * * [simplify]: Extracting #0: cost 1 inf + 0 42.193 * * [simplify]: Extracting #1: cost 4 inf + 0 42.193 * * [simplify]: Extracting #2: cost 6 inf + 1 42.193 * * [simplify]: Extracting #3: cost 9 inf + 1 42.193 * * [simplify]: Extracting #4: cost 11 inf + 1 42.193 * * [simplify]: Extracting #5: cost 13 inf + 1 42.193 * * [simplify]: Extracting #6: cost 16 inf + 1 42.193 * * [simplify]: Extracting #7: cost 17 inf + 2 42.193 * * [simplify]: Extracting #8: cost 19 inf + 2 42.193 * * [simplify]: Extracting #9: cost 17 inf + 60 42.194 * * [simplify]: Extracting #10: cost 13 inf + 451 42.194 * * [simplify]: Extracting #11: cost 9 inf + 1163 42.195 * * [simplify]: Extracting #12: cost 2 inf + 3369 42.196 * * [simplify]: Extracting #13: cost 0 inf + 4085 42.197 * [simplify]: Simplified to (/ 1 (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 42.197 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ 1 (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.198 * [simplify]: Simplifying (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 42.198 * * [simplify]: iters left: 6 (11 enodes) 42.203 * * [simplify]: iters left: 5 (37 enodes) 42.209 * * [simplify]: iters left: 4 (39 enodes) 42.215 * * [simplify]: Extracting #0: cost 1 inf + 0 42.215 * * [simplify]: Extracting #1: cost 4 inf + 0 42.215 * * [simplify]: Extracting #2: cost 5 inf + 1 42.215 * * [simplify]: Extracting #3: cost 7 inf + 1 42.215 * * [simplify]: Extracting #4: cost 9 inf + 1 42.215 * * [simplify]: Extracting #5: cost 11 inf + 1 42.215 * * [simplify]: Extracting #6: cost 14 inf + 1 42.215 * * [simplify]: Extracting #7: cost 15 inf + 2 42.215 * * [simplify]: Extracting #8: cost 17 inf + 2 42.215 * * [simplify]: Extracting #9: cost 15 inf + 60 42.215 * * [simplify]: Extracting #10: cost 12 inf + 353 42.215 * * [simplify]: Extracting #11: cost 7 inf + 1163 42.216 * * [simplify]: Extracting #12: cost 3 inf + 2315 42.216 * * [simplify]: Extracting #13: cost 0 inf + 3409 42.217 * [simplify]: Simplified to (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 42.217 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ 1 (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.217 * * * * [progress]: [ 36 / 267 ] simplifiying candidate # 42.217 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 42.217 * * [simplify]: iters left: 6 (11 enodes) 42.220 * * [simplify]: iters left: 5 (37 enodes) 42.228 * * [simplify]: iters left: 4 (39 enodes) 42.236 * * [simplify]: Extracting #0: cost 1 inf + 0 42.236 * * [simplify]: Extracting #1: cost 4 inf + 0 42.236 * * [simplify]: Extracting #2: cost 5 inf + 1 42.236 * * [simplify]: Extracting #3: cost 7 inf + 1 42.236 * * [simplify]: Extracting #4: cost 9 inf + 1 42.236 * * [simplify]: Extracting #5: cost 11 inf + 1 42.236 * * [simplify]: Extracting #6: cost 14 inf + 1 42.236 * * [simplify]: Extracting #7: cost 15 inf + 2 42.236 * * [simplify]: Extracting #8: cost 17 inf + 2 42.236 * * [simplify]: Extracting #9: cost 15 inf + 60 42.236 * * [simplify]: Extracting #10: cost 12 inf + 353 42.237 * * [simplify]: Extracting #11: cost 7 inf + 1163 42.237 * * [simplify]: Extracting #12: cost 3 inf + 2195 42.238 * * [simplify]: Extracting #13: cost 0 inf + 3169 42.239 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 42.240 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.240 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 42.240 * * [simplify]: iters left: 6 (11 enodes) 42.246 * * [simplify]: iters left: 5 (37 enodes) 42.256 * * [simplify]: iters left: 4 (39 enodes) 42.267 * * [simplify]: Extracting #0: cost 1 inf + 0 42.268 * * [simplify]: Extracting #1: cost 4 inf + 0 42.268 * * [simplify]: Extracting #2: cost 5 inf + 1 42.268 * * [simplify]: Extracting #3: cost 7 inf + 1 42.268 * * [simplify]: Extracting #4: cost 9 inf + 1 42.268 * * [simplify]: Extracting #5: cost 11 inf + 1 42.268 * * [simplify]: Extracting #6: cost 14 inf + 1 42.268 * * [simplify]: Extracting #7: cost 15 inf + 2 42.268 * * [simplify]: Extracting #8: cost 17 inf + 2 42.268 * * [simplify]: Extracting #9: cost 15 inf + 60 42.268 * * [simplify]: Extracting #10: cost 12 inf + 353 42.269 * * [simplify]: Extracting #11: cost 7 inf + 1163 42.269 * * [simplify]: Extracting #12: cost 3 inf + 2195 42.270 * * [simplify]: Extracting #13: cost 0 inf + 3169 42.271 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 42.271 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.272 * * * * [progress]: [ 37 / 267 ] simplifiying candidate # 42.272 * [simplify]: Simplifying (/ 1 (sqrt 1)) 42.272 * * [simplify]: iters left: 3 (3 enodes) 42.279 * * [simplify]: iters left: 2 (11 enodes) 42.282 * * [simplify]: iters left: 1 (13 enodes) 42.285 * * [simplify]: Extracting #0: cost 1 inf + 0 42.285 * * [simplify]: Extracting #1: cost 0 inf + 1 42.285 * [simplify]: Simplified to 1 42.285 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.286 * [simplify]: Simplifying (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 42.286 * * [simplify]: iters left: 6 (10 enodes) 42.289 * * [simplify]: iters left: 5 (34 enodes) 42.294 * * [simplify]: iters left: 4 (36 enodes) 42.300 * * [simplify]: Extracting #0: cost 1 inf + 0 42.300 * * [simplify]: Extracting #1: cost 4 inf + 0 42.300 * * [simplify]: Extracting #2: cost 5 inf + 1 42.300 * * [simplify]: Extracting #3: cost 7 inf + 1 42.300 * * [simplify]: Extracting #4: cost 9 inf + 1 42.300 * * [simplify]: Extracting #5: cost 12 inf + 1 42.300 * * [simplify]: Extracting #6: cost 13 inf + 2 42.300 * * [simplify]: Extracting #7: cost 15 inf + 2 42.300 * * [simplify]: Extracting #8: cost 13 inf + 60 42.300 * * [simplify]: Extracting #9: cost 9 inf + 451 42.301 * * [simplify]: Extracting #10: cost 4 inf + 1381 42.301 * * [simplify]: Extracting #11: cost 0 inf + 2493 42.301 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 42.301 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.301 * * * * [progress]: [ 38 / 267 ] simplifiying candidate # 42.302 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 1))) 42.302 * * [simplify]: iters left: 4 (4 enodes) 42.303 * * [simplify]: iters left: 3 (14 enodes) 42.305 * * [simplify]: iters left: 2 (16 enodes) 42.308 * * [simplify]: Extracting #0: cost 1 inf + 0 42.308 * * [simplify]: Extracting #1: cost 0 inf + 1 42.308 * [simplify]: Simplified to 1 42.308 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* 1 (/ 1 (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.308 * [simplify]: Simplifying (/ 1 (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 42.308 * * [simplify]: iters left: 6 (11 enodes) 42.312 * * [simplify]: iters left: 5 (37 enodes) 42.318 * * [simplify]: iters left: 4 (39 enodes) 42.329 * * [simplify]: Extracting #0: cost 1 inf + 0 42.329 * * [simplify]: Extracting #1: cost 4 inf + 0 42.329 * * [simplify]: Extracting #2: cost 5 inf + 1 42.329 * * [simplify]: Extracting #3: cost 7 inf + 1 42.329 * * [simplify]: Extracting #4: cost 9 inf + 1 42.329 * * [simplify]: Extracting #5: cost 12 inf + 1 42.329 * * [simplify]: Extracting #6: cost 13 inf + 2 42.330 * * [simplify]: Extracting #7: cost 15 inf + 2 42.330 * * [simplify]: Extracting #8: cost 14 inf + 3 42.330 * * [simplify]: Extracting #9: cost 12 inf + 158 42.330 * * [simplify]: Extracting #10: cost 7 inf + 767 42.331 * * [simplify]: Extracting #11: cost 3 inf + 1639 42.331 * * [simplify]: Extracting #12: cost 0 inf + 2493 42.332 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 42.332 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.332 * * * * [progress]: [ 39 / 267 ] simplifiying candidate # 42.333 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 1))) 42.333 * * [simplify]: iters left: 4 (4 enodes) 42.336 * * [simplify]: iters left: 3 (14 enodes) 42.340 * * [simplify]: iters left: 2 (16 enodes) 42.345 * * [simplify]: Extracting #0: cost 1 inf + 0 42.345 * * [simplify]: Extracting #1: cost 0 inf + 1 42.345 * [simplify]: Simplified to 1 42.345 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* 1 (/ 1 (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.345 * [simplify]: Simplifying (/ 1 (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 42.346 * * [simplify]: iters left: 6 (11 enodes) 42.350 * * [simplify]: iters left: 5 (37 enodes) 42.359 * * [simplify]: iters left: 4 (39 enodes) 42.365 * * [simplify]: Extracting #0: cost 1 inf + 0 42.365 * * [simplify]: Extracting #1: cost 4 inf + 0 42.365 * * [simplify]: Extracting #2: cost 5 inf + 1 42.365 * * [simplify]: Extracting #3: cost 7 inf + 1 42.365 * * [simplify]: Extracting #4: cost 9 inf + 1 42.365 * * [simplify]: Extracting #5: cost 12 inf + 1 42.365 * * [simplify]: Extracting #6: cost 13 inf + 2 42.365 * * [simplify]: Extracting #7: cost 15 inf + 2 42.365 * * [simplify]: Extracting #8: cost 14 inf + 3 42.366 * * [simplify]: Extracting #9: cost 12 inf + 158 42.366 * * [simplify]: Extracting #10: cost 7 inf + 767 42.366 * * [simplify]: Extracting #11: cost 3 inf + 1639 42.366 * * [simplify]: Extracting #12: cost 0 inf + 2493 42.367 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 42.367 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.367 * * * * [progress]: [ 40 / 267 ] simplifiying candidate # 42.367 * [simplify]: Simplifying (/ 1 (sqrt 1)) 42.367 * * [simplify]: iters left: 3 (3 enodes) 42.371 * * [simplify]: iters left: 2 (11 enodes) 42.372 * * [simplify]: iters left: 1 (13 enodes) 42.375 * * [simplify]: Extracting #0: cost 1 inf + 0 42.375 * * [simplify]: Extracting #1: cost 0 inf + 1 42.375 * [simplify]: Simplified to 1 42.375 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.375 * [simplify]: Simplifying (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 42.375 * * [simplify]: iters left: 6 (10 enodes) 42.377 * * [simplify]: iters left: 5 (34 enodes) 42.383 * * [simplify]: iters left: 4 (36 enodes) 42.393 * * [simplify]: Extracting #0: cost 1 inf + 0 42.393 * * [simplify]: Extracting #1: cost 4 inf + 0 42.393 * * [simplify]: Extracting #2: cost 5 inf + 1 42.393 * * [simplify]: Extracting #3: cost 7 inf + 1 42.393 * * [simplify]: Extracting #4: cost 9 inf + 1 42.393 * * [simplify]: Extracting #5: cost 12 inf + 1 42.393 * * [simplify]: Extracting #6: cost 13 inf + 2 42.393 * * [simplify]: Extracting #7: cost 15 inf + 2 42.394 * * [simplify]: Extracting #8: cost 13 inf + 60 42.394 * * [simplify]: Extracting #9: cost 9 inf + 451 42.394 * * [simplify]: Extracting #10: cost 4 inf + 1381 42.395 * * [simplify]: Extracting #11: cost 0 inf + 2493 42.396 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 42.396 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.396 * * * * [progress]: [ 41 / 267 ] simplifiying candidate # 42.396 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 42.396 * * [simplify]: iters left: 6 (11 enodes) 42.402 * * [simplify]: iters left: 5 (37 enodes) 42.414 * * [simplify]: iters left: 4 (39 enodes) 42.425 * * [simplify]: Extracting #0: cost 1 inf + 0 42.426 * * [simplify]: Extracting #1: cost 4 inf + 0 42.426 * * [simplify]: Extracting #2: cost 5 inf + 1 42.426 * * [simplify]: Extracting #3: cost 7 inf + 1 42.426 * * [simplify]: Extracting #4: cost 9 inf + 1 42.426 * * [simplify]: Extracting #5: cost 11 inf + 1 42.426 * * [simplify]: Extracting #6: cost 14 inf + 1 42.426 * * [simplify]: Extracting #7: cost 15 inf + 2 42.426 * * [simplify]: Extracting #8: cost 17 inf + 2 42.426 * * [simplify]: Extracting #9: cost 15 inf + 60 42.426 * * [simplify]: Extracting #10: cost 12 inf + 353 42.427 * * [simplify]: Extracting #11: cost 7 inf + 1163 42.427 * * [simplify]: Extracting #12: cost 3 inf + 2195 42.428 * * [simplify]: Extracting #13: cost 0 inf + 3169 42.429 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 42.429 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.430 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 42.430 * * [simplify]: iters left: 6 (11 enodes) 42.435 * * [simplify]: iters left: 5 (37 enodes) 42.446 * * [simplify]: iters left: 4 (39 enodes) 42.453 * * [simplify]: Extracting #0: cost 1 inf + 0 42.453 * * [simplify]: Extracting #1: cost 4 inf + 0 42.453 * * [simplify]: Extracting #2: cost 5 inf + 1 42.453 * * [simplify]: Extracting #3: cost 7 inf + 1 42.453 * * [simplify]: Extracting #4: cost 9 inf + 1 42.453 * * [simplify]: Extracting #5: cost 11 inf + 1 42.453 * * [simplify]: Extracting #6: cost 14 inf + 1 42.453 * * [simplify]: Extracting #7: cost 15 inf + 2 42.453 * * [simplify]: Extracting #8: cost 17 inf + 2 42.453 * * [simplify]: Extracting #9: cost 15 inf + 60 42.453 * * [simplify]: Extracting #10: cost 12 inf + 353 42.453 * * [simplify]: Extracting #11: cost 7 inf + 1163 42.454 * * [simplify]: Extracting #12: cost 3 inf + 2195 42.454 * * [simplify]: Extracting #13: cost 0 inf + 3169 42.455 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 42.455 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.455 * * * * [progress]: [ 42 / 267 ] simplifiying candidate # 42.455 * [simplify]: Simplifying (/ 1 1) 42.455 * * [simplify]: iters left: 2 (2 enodes) 42.456 * * [simplify]: iters left: 1 (6 enodes) 42.457 * * [simplify]: Extracting #0: cost 1 inf + 0 42.457 * * [simplify]: Extracting #1: cost 0 inf + 1 42.457 * [simplify]: Simplified to 1 42.457 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.458 * [simplify]: Simplifying (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 42.458 * * [simplify]: iters left: 6 (10 enodes) 42.460 * * [simplify]: iters left: 5 (34 enodes) 42.466 * * [simplify]: iters left: 4 (36 enodes) 42.471 * * [simplify]: Extracting #0: cost 1 inf + 0 42.471 * * [simplify]: Extracting #1: cost 4 inf + 0 42.471 * * [simplify]: Extracting #2: cost 5 inf + 1 42.471 * * [simplify]: Extracting #3: cost 7 inf + 1 42.471 * * [simplify]: Extracting #4: cost 9 inf + 1 42.471 * * [simplify]: Extracting #5: cost 12 inf + 1 42.472 * * [simplify]: Extracting #6: cost 13 inf + 2 42.472 * * [simplify]: Extracting #7: cost 15 inf + 2 42.472 * * [simplify]: Extracting #8: cost 13 inf + 60 42.472 * * [simplify]: Extracting #9: cost 9 inf + 451 42.472 * * [simplify]: Extracting #10: cost 4 inf + 1381 42.477 * * [simplify]: Extracting #11: cost 0 inf + 2493 42.477 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 42.477 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.478 * * * * [progress]: [ 43 / 267 ] simplifiying candidate # 42.478 * * * * [progress]: [ 44 / 267 ] simplifiying candidate # 42.478 * * * * [progress]: [ 45 / 267 ] simplifiying candidate # 42.478 * * * * [progress]: [ 46 / 267 ] simplifiying candidate # 42.478 * [simplify]: Simplifying (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 42.479 * * [simplify]: iters left: 6 (10 enodes) 42.484 * * [simplify]: iters left: 5 (34 enodes) 42.494 * * [simplify]: iters left: 4 (36 enodes) 42.502 * * [simplify]: Extracting #0: cost 1 inf + 0 42.502 * * [simplify]: Extracting #1: cost 3 inf + 0 42.502 * * [simplify]: Extracting #2: cost 5 inf + 0 42.502 * * [simplify]: Extracting #3: cost 8 inf + 0 42.502 * * [simplify]: Extracting #4: cost 9 inf + 1 42.502 * * [simplify]: Extracting #5: cost 12 inf + 1 42.502 * * [simplify]: Extracting #6: cost 13 inf + 2 42.502 * * [simplify]: Extracting #7: cost 15 inf + 2 42.502 * * [simplify]: Extracting #8: cost 13 inf + 60 42.503 * * [simplify]: Extracting #9: cost 9 inf + 451 42.503 * * [simplify]: Extracting #10: cost 4 inf + 1381 42.503 * * [simplify]: Extracting #11: cost 0 inf + 2573 42.504 * [simplify]: Simplified to (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 42.504 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ (/ 1 (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.504 * * * * [progress]: [ 47 / 267 ] simplifiying candidate # 42.504 * [simplify]: Simplifying (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 42.504 * * [simplify]: iters left: 6 (10 enodes) 42.507 * * [simplify]: iters left: 5 (34 enodes) 42.512 * * [simplify]: iters left: 4 (36 enodes) 42.518 * * [simplify]: Extracting #0: cost 1 inf + 0 42.518 * * [simplify]: Extracting #1: cost 3 inf + 0 42.518 * * [simplify]: Extracting #2: cost 5 inf + 0 42.518 * * [simplify]: Extracting #3: cost 8 inf + 0 42.518 * * [simplify]: Extracting #4: cost 9 inf + 1 42.518 * * [simplify]: Extracting #5: cost 12 inf + 1 42.518 * * [simplify]: Extracting #6: cost 13 inf + 2 42.518 * * [simplify]: Extracting #7: cost 15 inf + 2 42.518 * * [simplify]: Extracting #8: cost 13 inf + 60 42.518 * * [simplify]: Extracting #9: cost 9 inf + 451 42.519 * * [simplify]: Extracting #10: cost 4 inf + 1381 42.519 * * [simplify]: Extracting #11: cost 0 inf + 2653 42.519 * [simplify]: Simplified to (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 42.519 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ (/ 1 (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.520 * * * * [progress]: [ 48 / 267 ] simplifiying candidate # 42.520 * [simplify]: Simplifying (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 42.520 * * [simplify]: iters left: 6 (10 enodes) 42.523 * * [simplify]: iters left: 5 (34 enodes) 42.528 * * [simplify]: iters left: 4 (36 enodes) 42.534 * * [simplify]: Extracting #0: cost 1 inf + 0 42.534 * * [simplify]: Extracting #1: cost 3 inf + 0 42.534 * * [simplify]: Extracting #2: cost 5 inf + 0 42.534 * * [simplify]: Extracting #3: cost 8 inf + 0 42.534 * * [simplify]: Extracting #4: cost 9 inf + 1 42.534 * * [simplify]: Extracting #5: cost 12 inf + 1 42.534 * * [simplify]: Extracting #6: cost 13 inf + 2 42.534 * * [simplify]: Extracting #7: cost 15 inf + 2 42.534 * * [simplify]: Extracting #8: cost 13 inf + 60 42.534 * * [simplify]: Extracting #9: cost 9 inf + 451 42.534 * * [simplify]: Extracting #10: cost 4 inf + 1381 42.535 * * [simplify]: Extracting #11: cost 0 inf + 2493 42.535 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 42.535 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.535 * * * * [progress]: [ 49 / 267 ] simplifiying candidate # 42.536 * [simplify]: Simplifying (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 42.536 * * [simplify]: iters left: 6 (9 enodes) 42.538 * * [simplify]: iters left: 5 (31 enodes) 42.546 * * [simplify]: iters left: 4 (33 enodes) 42.555 * * [simplify]: Extracting #0: cost 1 inf + 0 42.555 * * [simplify]: Extracting #1: cost 3 inf + 0 42.556 * * [simplify]: Extracting #2: cost 6 inf + 0 42.556 * * [simplify]: Extracting #3: cost 7 inf + 1 42.556 * * [simplify]: Extracting #4: cost 10 inf + 1 42.556 * * [simplify]: Extracting #5: cost 11 inf + 2 42.556 * * [simplify]: Extracting #6: cost 13 inf + 2 42.556 * * [simplify]: Extracting #7: cost 10 inf + 117 42.556 * * [simplify]: Extracting #8: cost 8 inf + 353 42.556 * * [simplify]: Extracting #9: cost 4 inf + 985 42.557 * * [simplify]: Extracting #10: cost 0 inf + 1897 42.558 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 42.558 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ (/ 1 (sqrt 1)) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.558 * * * * [progress]: [ 50 / 267 ] simplifiying candidate # 42.558 * [simplify]: Simplifying (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 42.558 * * [simplify]: iters left: 6 (10 enodes) 42.564 * * [simplify]: iters left: 5 (34 enodes) 42.574 * * [simplify]: iters left: 4 (36 enodes) 42.584 * * [simplify]: Extracting #0: cost 1 inf + 0 42.584 * * [simplify]: Extracting #1: cost 3 inf + 0 42.584 * * [simplify]: Extracting #2: cost 6 inf + 0 42.584 * * [simplify]: Extracting #3: cost 7 inf + 1 42.584 * * [simplify]: Extracting #4: cost 10 inf + 1 42.584 * * [simplify]: Extracting #5: cost 11 inf + 2 42.584 * * [simplify]: Extracting #6: cost 13 inf + 2 42.584 * * [simplify]: Extracting #7: cost 12 inf + 3 42.584 * * [simplify]: Extracting #8: cost 9 inf + 215 42.585 * * [simplify]: Extracting #9: cost 4 inf + 945 42.585 * * [simplify]: Extracting #10: cost 0 inf + 1897 42.586 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 42.586 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ (/ 1 (sqrt (sqrt 1))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.587 * * * * [progress]: [ 51 / 267 ] simplifiying candidate # 42.587 * [simplify]: Simplifying (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 42.587 * * [simplify]: iters left: 6 (10 enodes) 42.593 * * [simplify]: iters left: 5 (34 enodes) 42.606 * * [simplify]: iters left: 4 (36 enodes) 42.616 * * [simplify]: Extracting #0: cost 1 inf + 0 42.617 * * [simplify]: Extracting #1: cost 3 inf + 0 42.617 * * [simplify]: Extracting #2: cost 6 inf + 0 42.617 * * [simplify]: Extracting #3: cost 7 inf + 1 42.617 * * [simplify]: Extracting #4: cost 10 inf + 1 42.617 * * [simplify]: Extracting #5: cost 11 inf + 2 42.617 * * [simplify]: Extracting #6: cost 13 inf + 2 42.617 * * [simplify]: Extracting #7: cost 12 inf + 3 42.617 * * [simplify]: Extracting #8: cost 9 inf + 215 42.617 * * [simplify]: Extracting #9: cost 4 inf + 945 42.618 * * [simplify]: Extracting #10: cost 0 inf + 1897 42.619 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 42.619 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ (/ 1 (sqrt (sqrt 1))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.619 * * * * [progress]: [ 52 / 267 ] simplifiying candidate # 42.620 * [simplify]: Simplifying (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 42.620 * * [simplify]: iters left: 6 (9 enodes) 42.625 * * [simplify]: iters left: 5 (31 enodes) 42.631 * * [simplify]: iters left: 4 (33 enodes) 42.636 * * [simplify]: Extracting #0: cost 1 inf + 0 42.636 * * [simplify]: Extracting #1: cost 3 inf + 0 42.636 * * [simplify]: Extracting #2: cost 6 inf + 0 42.636 * * [simplify]: Extracting #3: cost 7 inf + 1 42.636 * * [simplify]: Extracting #4: cost 10 inf + 1 42.636 * * [simplify]: Extracting #5: cost 11 inf + 2 42.636 * * [simplify]: Extracting #6: cost 13 inf + 2 42.636 * * [simplify]: Extracting #7: cost 10 inf + 117 42.636 * * [simplify]: Extracting #8: cost 8 inf + 353 42.636 * * [simplify]: Extracting #9: cost 4 inf + 985 42.637 * * [simplify]: Extracting #10: cost 0 inf + 1897 42.637 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 42.637 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ (/ 1 (sqrt 1)) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.637 * * * * [progress]: [ 53 / 267 ] simplifiying candidate # 42.637 * [simplify]: Simplifying (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 42.638 * * [simplify]: iters left: 6 (10 enodes) 42.640 * * [simplify]: iters left: 5 (34 enodes) 42.645 * * [simplify]: iters left: 4 (36 enodes) 42.651 * * [simplify]: Extracting #0: cost 1 inf + 0 42.651 * * [simplify]: Extracting #1: cost 3 inf + 0 42.651 * * [simplify]: Extracting #2: cost 5 inf + 0 42.651 * * [simplify]: Extracting #3: cost 8 inf + 0 42.651 * * [simplify]: Extracting #4: cost 9 inf + 1 42.651 * * [simplify]: Extracting #5: cost 12 inf + 1 42.651 * * [simplify]: Extracting #6: cost 13 inf + 2 42.651 * * [simplify]: Extracting #7: cost 15 inf + 2 42.651 * * [simplify]: Extracting #8: cost 13 inf + 60 42.651 * * [simplify]: Extracting #9: cost 9 inf + 451 42.651 * * [simplify]: Extracting #10: cost 4 inf + 1381 42.652 * * [simplify]: Extracting #11: cost 0 inf + 2493 42.652 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 42.652 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.652 * * * * [progress]: [ 54 / 267 ] simplifiying candidate # 42.653 * [simplify]: Simplifying (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 42.653 * * [simplify]: iters left: 6 (9 enodes) 42.655 * * [simplify]: iters left: 5 (31 enodes) 42.660 * * [simplify]: iters left: 4 (33 enodes) 42.665 * * [simplify]: Extracting #0: cost 1 inf + 0 42.665 * * [simplify]: Extracting #1: cost 3 inf + 0 42.665 * * [simplify]: Extracting #2: cost 6 inf + 0 42.665 * * [simplify]: Extracting #3: cost 7 inf + 1 42.666 * * [simplify]: Extracting #4: cost 10 inf + 1 42.666 * * [simplify]: Extracting #5: cost 11 inf + 2 42.666 * * [simplify]: Extracting #6: cost 13 inf + 2 42.666 * * [simplify]: Extracting #7: cost 10 inf + 117 42.666 * * [simplify]: Extracting #8: cost 8 inf + 353 42.666 * * [simplify]: Extracting #9: cost 4 inf + 985 42.667 * * [simplify]: Extracting #10: cost 0 inf + 1897 42.668 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 42.668 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.668 * * * * [progress]: [ 55 / 267 ] simplifiying candidate # 42.668 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 42.668 * * [simplify]: iters left: 3 (3 enodes) 42.674 * * [simplify]: iters left: 2 (11 enodes) 42.677 * * [simplify]: iters left: 1 (13 enodes) 42.681 * * [simplify]: Extracting #0: cost 1 inf + 0 42.681 * * [simplify]: Extracting #1: cost 0 inf + 1 42.681 * [simplify]: Simplified to 1 42.681 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (/ (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt 1))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.681 * * * * [progress]: [ 56 / 267 ] simplifiying candidate # 42.681 * [simplify]: Simplifying (sqrt 1) 42.681 * * [simplify]: iters left: 1 (2 enodes) 42.684 * * [simplify]: Extracting #0: cost 1 inf + 0 42.684 * * [simplify]: Extracting #1: cost 0 inf + 1 42.684 * [simplify]: Simplified to 1 42.684 * [simplify]: Simplified (2 2 1 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (/ (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt 1))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 42.685 * * * * [progress]: [ 57 / 267 ] simplifiying candidate # 42.685 * * * * [progress]: [ 58 / 267 ] simplifiying candidate # 42.685 * [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)))))) 42.685 * * [simplify]: iters left: 6 (13 enodes) 42.692 * * [simplify]: iters left: 5 (45 enodes) 42.705 * * [simplify]: iters left: 4 (86 enodes) 42.727 * * [simplify]: iters left: 3 (153 enodes) 42.787 * * [simplify]: iters left: 2 (245 enodes) 42.888 * * [simplify]: iters left: 1 (357 enodes) 43.009 * * [simplify]: Extracting #0: cost 1 inf + 0 43.009 * * [simplify]: Extracting #1: cost 3 inf + 0 43.009 * * [simplify]: Extracting #2: cost 38 inf + 0 43.010 * * [simplify]: Extracting #3: cost 59 inf + 5 43.010 * * [simplify]: Extracting #4: cost 60 inf + 6 43.010 * * [simplify]: Extracting #5: cost 46 inf + 1602 43.013 * * [simplify]: Extracting #6: cost 7 inf + 10115 43.016 * * [simplify]: Extracting #7: cost 0 inf + 11762 43.020 * [simplify]: Simplified to (sqrt (+ 1 (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 43.020 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ 1 (sqrt (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))) (sqrt (+ 1 (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.020 * * * * [progress]: [ 59 / 267 ] simplifiying candidate # 43.021 * [simplify]: Simplifying (sqrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 43.021 * * [simplify]: iters left: 6 (9 enodes) 43.023 * * [simplify]: iters left: 5 (32 enodes) 43.029 * * [simplify]: iters left: 4 (37 enodes) 43.035 * * [simplify]: Extracting #0: cost 1 inf + 0 43.035 * * [simplify]: Extracting #1: cost 3 inf + 0 43.035 * * [simplify]: Extracting #2: cost 7 inf + 0 43.035 * * [simplify]: Extracting #3: cost 9 inf + 1 43.035 * * [simplify]: Extracting #4: cost 12 inf + 1 43.035 * * [simplify]: Extracting #5: cost 13 inf + 2 43.035 * * [simplify]: Extracting #6: cost 15 inf + 2 43.035 * * [simplify]: Extracting #7: cost 13 inf + 60 43.035 * * [simplify]: Extracting #8: cost 10 inf + 353 43.036 * * [simplify]: Extracting #9: cost 3 inf + 1599 43.036 * * [simplify]: Extracting #10: cost 0 inf + 2333 43.036 * [simplify]: Simplified to (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 43.036 * [simplify]: Simplified (2 2 1 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (/ 1 (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.037 * * * * [progress]: [ 60 / 267 ] simplifiying candidate #real (real->posit16 (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))> 43.037 * * * * [progress]: [ 61 / 267 ] simplifiying candidate # 43.037 * * * * [progress]: [ 62 / 267 ] simplifiying candidate # 43.037 * [simplify]: Simplifying (- 1/2) 43.037 * * [simplify]: iters left: 2 (2 enodes) 43.038 * * [simplify]: iters left: 1 (7 enodes) 43.040 * * [simplify]: Extracting #0: cost 1 inf + 0 43.040 * * [simplify]: Extracting #1: cost 0 inf + 1 43.040 * [simplify]: Simplified to -1/2 43.040 * [simplify]: Simplified (2 1 2) to (λ (x) (* (pow (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) -1/2) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.040 * * * * [progress]: [ 63 / 267 ] simplifiying candidate # 43.040 * [simplify]: Simplifying (- 1) 43.041 * * [simplify]: iters left: 2 (2 enodes) 43.043 * * [simplify]: iters left: 1 (9 enodes) 43.046 * * [simplify]: Extracting #0: cost 1 inf + 0 43.046 * * [simplify]: Extracting #1: cost 0 inf + 1 43.046 * [simplify]: Simplified to -1 43.046 * [simplify]: Simplified (2 1 2) to (λ (x) (* (pow (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.046 * * * * [progress]: [ 64 / 267 ] simplifiying candidate # 43.047 * [simplify]: Simplifying (- (/ 1 2)) 43.047 * * [simplify]: iters left: 4 (4 enodes) 43.052 * * [simplify]: iters left: 3 (19 enodes) 43.058 * * [simplify]: iters left: 2 (23 enodes) 43.064 * * [simplify]: Extracting #0: cost 1 inf + 0 43.064 * * [simplify]: Extracting #1: cost 0 inf + 1 43.064 * [simplify]: Simplified to -1/2 43.064 * [simplify]: Simplified (2 1 2) to (λ (x) (* (pow (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) -1/2) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.064 * * * * [progress]: [ 65 / 267 ] simplifiying candidate # 43.065 * * * * [progress]: [ 66 / 267 ] simplifiying candidate # 43.065 * * * * [progress]: [ 67 / 267 ] simplifiying candidate # 43.065 * [simplify]: Simplifying (- 0 (log (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.065 * * [simplify]: iters left: 6 (12 enodes) 43.069 * * [simplify]: iters left: 5 (41 enodes) 43.075 * * [simplify]: iters left: 4 (45 enodes) 43.082 * * [simplify]: iters left: 3 (47 enodes) 43.089 * * [simplify]: iters left: 2 (49 enodes) 43.096 * * [simplify]: Extracting #0: cost 1 inf + 0 43.096 * * [simplify]: Extracting #1: cost 4 inf + 0 43.096 * * [simplify]: Extracting #2: cost 5 inf + 1 43.096 * * [simplify]: Extracting #3: cost 7 inf + 1 43.096 * * [simplify]: Extracting #4: cost 10 inf + 1 43.096 * * [simplify]: Extracting #5: cost 11 inf + 2 43.096 * * [simplify]: Extracting #6: cost 14 inf + 2 43.096 * * [simplify]: Extracting #7: cost 15 inf + 3 43.096 * * [simplify]: Extracting #8: cost 17 inf + 3 43.097 * * [simplify]: Extracting #9: cost 16 inf + 4 43.097 * * [simplify]: Extracting #10: cost 13 inf + 216 43.097 * * [simplify]: Extracting #11: cost 9 inf + 768 43.097 * * [simplify]: Extracting #12: cost 5 inf + 1640 43.097 * * [simplify]: Extracting #13: cost 1 inf + 2922 43.098 * * [simplify]: Extracting #14: cost 0 inf + 3290 43.099 * [simplify]: Simplified to (- (log (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 43.099 * [simplify]: Simplified (2 1 1) to (λ (x) (* (exp (- (log (sqrt (+ (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.099 * * * * [progress]: [ 68 / 267 ] simplifiying candidate # 43.099 * [simplify]: Simplifying (- (log 1) (log (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.099 * * [simplify]: iters left: 6 (12 enodes) 43.105 * * [simplify]: iters left: 5 (42 enodes) 43.111 * * [simplify]: Extracting #0: cost 1 inf + 0 43.111 * * [simplify]: Extracting #1: cost 4 inf + 0 43.111 * * [simplify]: Extracting #2: cost 5 inf + 1 43.111 * * [simplify]: Extracting #3: cost 7 inf + 1 43.111 * * [simplify]: Extracting #4: cost 10 inf + 1 43.111 * * [simplify]: Extracting #5: cost 11 inf + 2 43.112 * * [simplify]: Extracting #6: cost 14 inf + 2 43.112 * * [simplify]: Extracting #7: cost 15 inf + 3 43.112 * * [simplify]: Extracting #8: cost 17 inf + 3 43.112 * * [simplify]: Extracting #9: cost 16 inf + 4 43.112 * * [simplify]: Extracting #10: cost 12 inf + 314 43.112 * * [simplify]: Extracting #11: cost 8 inf + 946 43.112 * * [simplify]: Extracting #12: cost 5 inf + 1640 43.113 * * [simplify]: Extracting #13: cost 2 inf + 2594 43.113 * * [simplify]: Extracting #14: cost 0 inf + 3290 43.114 * [simplify]: Simplified to (- (log (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.114 * [simplify]: Simplified (2 1 1) to (λ (x) (* (exp (- (log (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.114 * * * * [progress]: [ 69 / 267 ] simplifiying candidate # 43.114 * * * * [progress]: [ 70 / 267 ] simplifiying candidate # 43.114 * * * * [progress]: [ 71 / 267 ] simplifiying candidate # 43.114 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.114 * * [simplify]: iters left: 6 (14 enodes) 43.118 * * [simplify]: iters left: 5 (46 enodes) 43.125 * * [simplify]: iters left: 4 (74 enodes) 43.138 * * [simplify]: iters left: 3 (110 enodes) 43.162 * * [simplify]: iters left: 2 (184 enodes) 43.211 * * [simplify]: iters left: 1 (240 enodes) 43.255 * * [simplify]: Extracting #0: cost 1 inf + 0 43.255 * * [simplify]: Extracting #1: cost 22 inf + 0 43.255 * * [simplify]: Extracting #2: cost 46 inf + 2 43.256 * * [simplify]: Extracting #3: cost 53 inf + 5 43.256 * * [simplify]: Extracting #4: cost 55 inf + 6 43.256 * * [simplify]: Extracting #5: cost 56 inf + 7 43.256 * * [simplify]: Extracting #6: cost 58 inf + 7 43.256 * * [simplify]: Extracting #7: cost 51 inf + 754 43.257 * * [simplify]: Extracting #8: cost 44 inf + 2080 43.258 * * [simplify]: Extracting #9: cost 29 inf + 7787 43.261 * * [simplify]: Extracting #10: cost 10 inf + 17618 43.268 * * [simplify]: Extracting #11: cost 0 inf + 24796 43.272 * [simplify]: Simplified to (/ (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 43.272 * [simplify]: Simplified (2 1 1) to (λ (x) (* (cbrt (/ (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.272 * * * * [progress]: [ 72 / 267 ] simplifiying candidate # 43.272 * * * * [progress]: [ 73 / 267 ] simplifiying candidate # 43.272 * * * * [progress]: [ 74 / 267 ] simplifiying candidate # 43.272 * * * * [progress]: [ 75 / 267 ] simplifiying candidate # 43.272 * * * * [progress]: [ 76 / 267 ] simplifiying candidate # 43.273 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 43.273 * * [simplify]: iters left: 6 (14 enodes) 43.277 * * [simplify]: iters left: 5 (52 enodes) 43.294 * * [simplify]: iters left: 4 (68 enodes) 43.309 * * [simplify]: iters left: 3 (96 enodes) 43.324 * * [simplify]: iters left: 2 (101 enodes) 43.333 * * [simplify]: Extracting #0: cost 1 inf + 0 43.333 * * [simplify]: Extracting #1: cost 6 inf + 0 43.334 * * [simplify]: Extracting #2: cost 9 inf + 1 43.334 * * [simplify]: Extracting #3: cost 11 inf + 1 43.334 * * [simplify]: Extracting #4: cost 13 inf + 1 43.334 * * [simplify]: Extracting #5: cost 15 inf + 1 43.334 * * [simplify]: Extracting #6: cost 18 inf + 1 43.334 * * [simplify]: Extracting #7: cost 19 inf + 2 43.334 * * [simplify]: Extracting #8: cost 21 inf + 2 43.334 * * [simplify]: Extracting #9: cost 19 inf + 60 43.334 * * [simplify]: Extracting #10: cost 16 inf + 313 43.334 * * [simplify]: Extracting #11: cost 11 inf + 1163 43.335 * * [simplify]: Extracting #12: cost 7 inf + 2235 43.335 * * [simplify]: Extracting #13: cost 1 inf + 4503 43.336 * * [simplify]: Extracting #14: cost 0 inf + 4921 43.337 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 43.337 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (cbrt 1) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.338 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.338 * * [simplify]: iters left: 6 (12 enodes) 43.341 * * [simplify]: iters left: 5 (40 enodes) 43.347 * * [simplify]: iters left: 4 (42 enodes) 43.353 * * [simplify]: Extracting #0: cost 1 inf + 0 43.353 * * [simplify]: Extracting #1: cost 4 inf + 0 43.353 * * [simplify]: Extracting #2: cost 5 inf + 1 43.353 * * [simplify]: Extracting #3: cost 7 inf + 1 43.353 * * [simplify]: Extracting #4: cost 9 inf + 1 43.353 * * [simplify]: Extracting #5: cost 11 inf + 1 43.353 * * [simplify]: Extracting #6: cost 14 inf + 1 43.353 * * [simplify]: Extracting #7: cost 15 inf + 2 43.353 * * [simplify]: Extracting #8: cost 17 inf + 2 43.353 * * [simplify]: Extracting #9: cost 16 inf + 3 43.353 * * [simplify]: Extracting #10: cost 12 inf + 313 43.354 * * [simplify]: Extracting #11: cost 8 inf + 945 43.354 * * [simplify]: Extracting #12: cost 4 inf + 1897 43.354 * * [simplify]: Extracting #13: cost 2 inf + 2613 43.355 * * [simplify]: Extracting #14: cost 0 inf + 3329 43.355 * [simplify]: Simplified to (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.355 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.355 * * * * [progress]: [ 77 / 267 ] simplifiying candidate # 43.356 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 43.356 * * [simplify]: iters left: 6 (14 enodes) 43.362 * * [simplify]: iters left: 5 (49 enodes) 43.375 * * [simplify]: iters left: 4 (51 enodes) 43.386 * * [simplify]: Extracting #0: cost 1 inf + 0 43.387 * * [simplify]: Extracting #1: cost 4 inf + 0 43.387 * * [simplify]: Extracting #2: cost 6 inf + 1 43.387 * * [simplify]: Extracting #3: cost 9 inf + 1 43.387 * * [simplify]: Extracting #4: cost 11 inf + 1 43.387 * * [simplify]: Extracting #5: cost 13 inf + 1 43.387 * * [simplify]: Extracting #6: cost 16 inf + 1 43.387 * * [simplify]: Extracting #7: cost 17 inf + 2 43.387 * * [simplify]: Extracting #8: cost 19 inf + 2 43.387 * * [simplify]: Extracting #9: cost 17 inf + 60 43.387 * * [simplify]: Extracting #10: cost 14 inf + 353 43.387 * * [simplify]: Extracting #11: cost 9 inf + 1163 43.388 * * [simplify]: Extracting #12: cost 2 inf + 3369 43.388 * * [simplify]: Extracting #13: cost 0 inf + 4085 43.389 * [simplify]: Simplified to (/ 1 (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 43.389 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ 1 (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (cbrt 1) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.390 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.390 * * [simplify]: iters left: 6 (12 enodes) 43.393 * * [simplify]: iters left: 5 (40 enodes) 43.399 * * [simplify]: iters left: 4 (42 enodes) 43.406 * * [simplify]: Extracting #0: cost 1 inf + 0 43.406 * * [simplify]: Extracting #1: cost 4 inf + 0 43.406 * * [simplify]: Extracting #2: cost 5 inf + 1 43.406 * * [simplify]: Extracting #3: cost 7 inf + 1 43.406 * * [simplify]: Extracting #4: cost 9 inf + 1 43.406 * * [simplify]: Extracting #5: cost 11 inf + 1 43.406 * * [simplify]: Extracting #6: cost 14 inf + 1 43.406 * * [simplify]: Extracting #7: cost 15 inf + 2 43.406 * * [simplify]: Extracting #8: cost 17 inf + 2 43.406 * * [simplify]: Extracting #9: cost 16 inf + 3 43.407 * * [simplify]: Extracting #10: cost 12 inf + 313 43.407 * * [simplify]: Extracting #11: cost 8 inf + 945 43.407 * * [simplify]: Extracting #12: cost 4 inf + 1977 43.407 * * [simplify]: Extracting #13: cost 2 inf + 2693 43.408 * * [simplify]: Extracting #14: cost 0 inf + 3409 43.408 * [simplify]: Simplified to (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.408 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.409 * * * * [progress]: [ 78 / 267 ] simplifiying candidate # 43.409 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.409 * * [simplify]: iters left: 6 (13 enodes) 43.413 * * [simplify]: iters left: 5 (45 enodes) 43.423 * * [simplify]: iters left: 4 (47 enodes) 43.436 * * [simplify]: Extracting #0: cost 1 inf + 0 43.436 * * [simplify]: Extracting #1: cost 4 inf + 0 43.436 * * [simplify]: Extracting #2: cost 5 inf + 1 43.436 * * [simplify]: Extracting #3: cost 7 inf + 1 43.437 * * [simplify]: Extracting #4: cost 9 inf + 1 43.437 * * [simplify]: Extracting #5: cost 11 inf + 1 43.437 * * [simplify]: Extracting #6: cost 14 inf + 1 43.437 * * [simplify]: Extracting #7: cost 15 inf + 2 43.437 * * [simplify]: Extracting #8: cost 17 inf + 2 43.437 * * [simplify]: Extracting #9: cost 15 inf + 60 43.437 * * [simplify]: Extracting #10: cost 12 inf + 353 43.438 * * [simplify]: Extracting #11: cost 8 inf + 985 43.438 * * [simplify]: Extracting #12: cost 3 inf + 2235 43.439 * * [simplify]: Extracting #13: cost 1 inf + 2831 43.440 * * [simplify]: Extracting #14: cost 0 inf + 3169 43.440 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 43.440 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (cbrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.441 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.441 * * [simplify]: iters left: 6 (12 enodes) 43.444 * * [simplify]: iters left: 5 (40 enodes) 43.451 * * [simplify]: iters left: 4 (42 enodes) 43.457 * * [simplify]: Extracting #0: cost 1 inf + 0 43.457 * * [simplify]: Extracting #1: cost 4 inf + 0 43.458 * * [simplify]: Extracting #2: cost 5 inf + 1 43.458 * * [simplify]: Extracting #3: cost 7 inf + 1 43.458 * * [simplify]: Extracting #4: cost 9 inf + 1 43.458 * * [simplify]: Extracting #5: cost 11 inf + 1 43.458 * * [simplify]: Extracting #6: cost 14 inf + 1 43.458 * * [simplify]: Extracting #7: cost 15 inf + 2 43.458 * * [simplify]: Extracting #8: cost 17 inf + 2 43.458 * * [simplify]: Extracting #9: cost 16 inf + 3 43.458 * * [simplify]: Extracting #10: cost 12 inf + 313 43.458 * * [simplify]: Extracting #11: cost 8 inf + 945 43.458 * * [simplify]: Extracting #12: cost 4 inf + 1897 43.459 * * [simplify]: Extracting #13: cost 2 inf + 2533 43.459 * * [simplify]: Extracting #14: cost 0 inf + 3169 43.460 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.460 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.460 * * * * [progress]: [ 79 / 267 ] simplifiying candidate # 43.460 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 43.460 * * [simplify]: iters left: 5 (5 enodes) 43.468 * * [simplify]: iters left: 4 (19 enodes) 43.471 * * [simplify]: iters left: 3 (21 enodes) 43.474 * * [simplify]: Extracting #0: cost 1 inf + 0 43.474 * * [simplify]: Extracting #1: cost 0 inf + 1 43.474 * [simplify]: Simplified to 1 43.474 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ (cbrt 1) (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.474 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 43.475 * * [simplify]: iters left: 6 (11 enodes) 43.478 * * [simplify]: iters left: 5 (37 enodes) 43.484 * * [simplify]: iters left: 4 (39 enodes) 43.490 * * [simplify]: Extracting #0: cost 1 inf + 0 43.490 * * [simplify]: Extracting #1: cost 4 inf + 0 43.490 * * [simplify]: Extracting #2: cost 5 inf + 1 43.490 * * [simplify]: Extracting #3: cost 7 inf + 1 43.490 * * [simplify]: Extracting #4: cost 9 inf + 1 43.490 * * [simplify]: Extracting #5: cost 12 inf + 1 43.490 * * [simplify]: Extracting #6: cost 13 inf + 2 43.490 * * [simplify]: Extracting #7: cost 15 inf + 2 43.490 * * [simplify]: Extracting #8: cost 14 inf + 3 43.490 * * [simplify]: Extracting #9: cost 12 inf + 158 43.490 * * [simplify]: Extracting #10: cost 7 inf + 767 43.490 * * [simplify]: Extracting #11: cost 3 inf + 1639 43.491 * * [simplify]: Extracting #12: cost 0 inf + 2493 43.491 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 43.491 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.491 * * * * [progress]: [ 80 / 267 ] simplifiying candidate # 43.492 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 1))) 43.492 * * [simplify]: iters left: 5 (6 enodes) 43.498 * * [simplify]: iters left: 4 (22 enodes) 43.505 * * [simplify]: iters left: 3 (24 enodes) 43.510 * * [simplify]: Extracting #0: cost 1 inf + 0 43.510 * * [simplify]: Extracting #1: cost 0 inf + 1 43.510 * [simplify]: Simplified to 1 43.510 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ (cbrt 1) (sqrt (+ (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.511 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 43.511 * * [simplify]: iters left: 6 (12 enodes) 43.519 * * [simplify]: iters left: 5 (40 enodes) 43.530 * * [simplify]: iters left: 4 (42 enodes) 43.542 * * [simplify]: Extracting #0: cost 1 inf + 0 43.542 * * [simplify]: Extracting #1: cost 4 inf + 0 43.542 * * [simplify]: Extracting #2: cost 5 inf + 1 43.542 * * [simplify]: Extracting #3: cost 7 inf + 1 43.542 * * [simplify]: Extracting #4: cost 9 inf + 1 43.543 * * [simplify]: Extracting #5: cost 12 inf + 1 43.543 * * [simplify]: Extracting #6: cost 13 inf + 2 43.543 * * [simplify]: Extracting #7: cost 15 inf + 2 43.543 * * [simplify]: Extracting #8: cost 12 inf + 117 43.543 * * [simplify]: Extracting #9: cost 8 inf + 589 43.544 * * [simplify]: Extracting #10: cost 4 inf + 1381 43.544 * * [simplify]: Extracting #11: cost 2 inf + 1937 43.545 * * [simplify]: Extracting #12: cost 0 inf + 2493 43.546 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 43.546 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.546 * * * * [progress]: [ 81 / 267 ] simplifiying candidate # 43.546 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 1))) 43.546 * * [simplify]: iters left: 5 (6 enodes) 43.553 * * [simplify]: iters left: 4 (22 enodes) 43.560 * * [simplify]: iters left: 3 (24 enodes) 43.564 * * [simplify]: Extracting #0: cost 1 inf + 0 43.564 * * [simplify]: Extracting #1: cost 0 inf + 1 43.564 * [simplify]: Simplified to 1 43.564 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ (cbrt 1) (sqrt (+ (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.565 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 43.565 * * [simplify]: iters left: 6 (12 enodes) 43.573 * * [simplify]: iters left: 5 (40 enodes) 43.584 * * [simplify]: iters left: 4 (42 enodes) 43.596 * * [simplify]: Extracting #0: cost 1 inf + 0 43.596 * * [simplify]: Extracting #1: cost 4 inf + 0 43.596 * * [simplify]: Extracting #2: cost 5 inf + 1 43.596 * * [simplify]: Extracting #3: cost 7 inf + 1 43.596 * * [simplify]: Extracting #4: cost 9 inf + 1 43.596 * * [simplify]: Extracting #5: cost 12 inf + 1 43.596 * * [simplify]: Extracting #6: cost 13 inf + 2 43.596 * * [simplify]: Extracting #7: cost 15 inf + 2 43.596 * * [simplify]: Extracting #8: cost 12 inf + 117 43.597 * * [simplify]: Extracting #9: cost 8 inf + 589 43.597 * * [simplify]: Extracting #10: cost 4 inf + 1381 43.598 * * [simplify]: Extracting #11: cost 2 inf + 1937 43.598 * * [simplify]: Extracting #12: cost 0 inf + 2493 43.599 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 43.599 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.600 * * * * [progress]: [ 82 / 267 ] simplifiying candidate # 43.600 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 43.600 * * [simplify]: iters left: 5 (5 enodes) 43.613 * * [simplify]: iters left: 4 (19 enodes) 43.617 * * [simplify]: iters left: 3 (21 enodes) 43.620 * * [simplify]: Extracting #0: cost 1 inf + 0 43.620 * * [simplify]: Extracting #1: cost 0 inf + 1 43.620 * [simplify]: Simplified to 1 43.620 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ (cbrt 1) (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.620 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 43.620 * * [simplify]: iters left: 6 (11 enodes) 43.624 * * [simplify]: iters left: 5 (37 enodes) 43.629 * * [simplify]: iters left: 4 (39 enodes) 43.635 * * [simplify]: Extracting #0: cost 1 inf + 0 43.635 * * [simplify]: Extracting #1: cost 4 inf + 0 43.635 * * [simplify]: Extracting #2: cost 5 inf + 1 43.635 * * [simplify]: Extracting #3: cost 7 inf + 1 43.635 * * [simplify]: Extracting #4: cost 9 inf + 1 43.635 * * [simplify]: Extracting #5: cost 12 inf + 1 43.635 * * [simplify]: Extracting #6: cost 13 inf + 2 43.635 * * [simplify]: Extracting #7: cost 15 inf + 2 43.635 * * [simplify]: Extracting #8: cost 14 inf + 3 43.635 * * [simplify]: Extracting #9: cost 12 inf + 158 43.635 * * [simplify]: Extracting #10: cost 7 inf + 767 43.635 * * [simplify]: Extracting #11: cost 3 inf + 1639 43.636 * * [simplify]: Extracting #12: cost 0 inf + 2493 43.636 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 43.636 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.636 * * * * [progress]: [ 83 / 267 ] simplifiying candidate # 43.637 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.637 * * [simplify]: iters left: 6 (13 enodes) 43.640 * * [simplify]: iters left: 5 (45 enodes) 43.648 * * [simplify]: iters left: 4 (47 enodes) 43.657 * * [simplify]: Extracting #0: cost 1 inf + 0 43.657 * * [simplify]: Extracting #1: cost 4 inf + 0 43.657 * * [simplify]: Extracting #2: cost 5 inf + 1 43.658 * * [simplify]: Extracting #3: cost 7 inf + 1 43.658 * * [simplify]: Extracting #4: cost 9 inf + 1 43.658 * * [simplify]: Extracting #5: cost 11 inf + 1 43.658 * * [simplify]: Extracting #6: cost 14 inf + 1 43.658 * * [simplify]: Extracting #7: cost 15 inf + 2 43.658 * * [simplify]: Extracting #8: cost 17 inf + 2 43.658 * * [simplify]: Extracting #9: cost 15 inf + 60 43.658 * * [simplify]: Extracting #10: cost 12 inf + 353 43.659 * * [simplify]: Extracting #11: cost 8 inf + 985 43.659 * * [simplify]: Extracting #12: cost 3 inf + 2235 43.660 * * [simplify]: Extracting #13: cost 1 inf + 2831 43.661 * * [simplify]: Extracting #14: cost 0 inf + 3169 43.662 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 43.662 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (cbrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.663 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.663 * * [simplify]: iters left: 6 (12 enodes) 43.669 * * [simplify]: iters left: 5 (40 enodes) 43.681 * * [simplify]: iters left: 4 (42 enodes) 43.688 * * [simplify]: Extracting #0: cost 1 inf + 0 43.688 * * [simplify]: Extracting #1: cost 4 inf + 0 43.688 * * [simplify]: Extracting #2: cost 5 inf + 1 43.688 * * [simplify]: Extracting #3: cost 7 inf + 1 43.689 * * [simplify]: Extracting #4: cost 9 inf + 1 43.689 * * [simplify]: Extracting #5: cost 11 inf + 1 43.689 * * [simplify]: Extracting #6: cost 14 inf + 1 43.689 * * [simplify]: Extracting #7: cost 15 inf + 2 43.689 * * [simplify]: Extracting #8: cost 17 inf + 2 43.689 * * [simplify]: Extracting #9: cost 16 inf + 3 43.689 * * [simplify]: Extracting #10: cost 12 inf + 313 43.689 * * [simplify]: Extracting #11: cost 8 inf + 945 43.689 * * [simplify]: Extracting #12: cost 4 inf + 1897 43.690 * * [simplify]: Extracting #13: cost 2 inf + 2533 43.690 * * [simplify]: Extracting #14: cost 0 inf + 3169 43.691 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.691 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.691 * * * * [progress]: [ 84 / 267 ] simplifiying candidate # 43.691 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 43.691 * * [simplify]: iters left: 5 (4 enodes) 43.696 * * [simplify]: iters left: 4 (14 enodes) 43.697 * * [simplify]: iters left: 3 (16 enodes) 43.699 * * [simplify]: Extracting #0: cost 1 inf + 0 43.699 * * [simplify]: Extracting #1: cost 0 inf + 1 43.699 * [simplify]: Simplified to 1 43.699 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ (cbrt 1) (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.700 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 43.700 * * [simplify]: iters left: 6 (11 enodes) 43.703 * * [simplify]: iters left: 5 (37 enodes) 43.714 * * [simplify]: iters left: 4 (39 enodes) 43.729 * * [simplify]: Extracting #0: cost 1 inf + 0 43.729 * * [simplify]: Extracting #1: cost 4 inf + 0 43.729 * * [simplify]: Extracting #2: cost 5 inf + 1 43.729 * * [simplify]: Extracting #3: cost 7 inf + 1 43.729 * * [simplify]: Extracting #4: cost 9 inf + 1 43.729 * * [simplify]: Extracting #5: cost 12 inf + 1 43.729 * * [simplify]: Extracting #6: cost 13 inf + 2 43.729 * * [simplify]: Extracting #7: cost 15 inf + 2 43.729 * * [simplify]: Extracting #8: cost 14 inf + 3 43.730 * * [simplify]: Extracting #9: cost 12 inf + 158 43.730 * * [simplify]: Extracting #10: cost 7 inf + 767 43.730 * * [simplify]: Extracting #11: cost 3 inf + 1639 43.731 * * [simplify]: Extracting #12: cost 0 inf + 2493 43.732 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 43.732 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.732 * * * * [progress]: [ 85 / 267 ] simplifiying candidate # 43.733 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 43.733 * * [simplify]: iters left: 6 (13 enodes) 43.740 * * [simplify]: iters left: 5 (45 enodes) 43.754 * * [simplify]: iters left: 4 (52 enodes) 43.768 * * [simplify]: iters left: 3 (54 enodes) 43.782 * * [simplify]: Extracting #0: cost 1 inf + 0 43.782 * * [simplify]: Extracting #1: cost 7 inf + 0 43.782 * * [simplify]: Extracting #2: cost 11 inf + 1 43.783 * * [simplify]: Extracting #3: cost 13 inf + 1 43.783 * * [simplify]: Extracting #4: cost 15 inf + 1 43.783 * * [simplify]: Extracting #5: cost 17 inf + 1 43.783 * * [simplify]: Extracting #6: cost 20 inf + 1 43.783 * * [simplify]: Extracting #7: cost 21 inf + 2 43.783 * * [simplify]: Extracting #8: cost 23 inf + 2 43.783 * * [simplify]: Extracting #9: cost 20 inf + 158 43.784 * * [simplify]: Extracting #10: cost 12 inf + 1421 43.785 * * [simplify]: Extracting #11: cost 3 inf + 4503 43.787 * * [simplify]: Extracting #12: cost 0 inf + 5677 43.788 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.788 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt 1) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.788 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.788 * * [simplify]: iters left: 6 (12 enodes) 43.792 * * [simplify]: iters left: 5 (40 enodes) 43.798 * * [simplify]: iters left: 4 (42 enodes) 43.804 * * [simplify]: Extracting #0: cost 1 inf + 0 43.805 * * [simplify]: Extracting #1: cost 4 inf + 0 43.805 * * [simplify]: Extracting #2: cost 5 inf + 1 43.805 * * [simplify]: Extracting #3: cost 7 inf + 1 43.805 * * [simplify]: Extracting #4: cost 9 inf + 1 43.805 * * [simplify]: Extracting #5: cost 11 inf + 1 43.805 * * [simplify]: Extracting #6: cost 14 inf + 1 43.805 * * [simplify]: Extracting #7: cost 15 inf + 2 43.805 * * [simplify]: Extracting #8: cost 17 inf + 2 43.805 * * [simplify]: Extracting #9: cost 16 inf + 3 43.805 * * [simplify]: Extracting #10: cost 12 inf + 313 43.805 * * [simplify]: Extracting #11: cost 8 inf + 945 43.805 * * [simplify]: Extracting #12: cost 4 inf + 1897 43.806 * * [simplify]: Extracting #13: cost 2 inf + 2613 43.806 * * [simplify]: Extracting #14: cost 0 inf + 3329 43.807 * [simplify]: Simplified to (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.807 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ (sqrt 1) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.807 * * * * [progress]: [ 86 / 267 ] simplifiying candidate # 43.807 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 43.807 * * [simplify]: iters left: 6 (13 enodes) 43.812 * * [simplify]: iters left: 5 (44 enodes) 43.821 * * [simplify]: iters left: 4 (46 enodes) 43.834 * * [simplify]: Extracting #0: cost 1 inf + 0 43.834 * * [simplify]: Extracting #1: cost 4 inf + 0 43.834 * * [simplify]: Extracting #2: cost 6 inf + 1 43.834 * * [simplify]: Extracting #3: cost 9 inf + 1 43.834 * * [simplify]: Extracting #4: cost 11 inf + 1 43.834 * * [simplify]: Extracting #5: cost 13 inf + 1 43.834 * * [simplify]: Extracting #6: cost 16 inf + 1 43.834 * * [simplify]: Extracting #7: cost 17 inf + 2 43.835 * * [simplify]: Extracting #8: cost 19 inf + 2 43.835 * * [simplify]: Extracting #9: cost 18 inf + 3 43.835 * * [simplify]: Extracting #10: cost 15 inf + 215 43.835 * * [simplify]: Extracting #11: cost 11 inf + 767 43.836 * * [simplify]: Extracting #12: cost 6 inf + 2017 43.837 * * [simplify]: Extracting #13: cost 0 inf + 4085 43.838 * [simplify]: Simplified to (/ 1 (fabs (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.838 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ 1 (fabs (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt 1) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.839 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.839 * * [simplify]: iters left: 6 (12 enodes) 43.845 * * [simplify]: iters left: 5 (40 enodes) 43.857 * * [simplify]: iters left: 4 (42 enodes) 43.872 * * [simplify]: Extracting #0: cost 1 inf + 0 43.872 * * [simplify]: Extracting #1: cost 4 inf + 0 43.872 * * [simplify]: Extracting #2: cost 5 inf + 1 43.872 * * [simplify]: Extracting #3: cost 7 inf + 1 43.872 * * [simplify]: Extracting #4: cost 9 inf + 1 43.872 * * [simplify]: Extracting #5: cost 11 inf + 1 43.872 * * [simplify]: Extracting #6: cost 14 inf + 1 43.873 * * [simplify]: Extracting #7: cost 15 inf + 2 43.873 * * [simplify]: Extracting #8: cost 17 inf + 2 43.873 * * [simplify]: Extracting #9: cost 16 inf + 3 43.873 * * [simplify]: Extracting #10: cost 12 inf + 313 43.873 * * [simplify]: Extracting #11: cost 8 inf + 945 43.874 * * [simplify]: Extracting #12: cost 4 inf + 1977 43.875 * * [simplify]: Extracting #13: cost 2 inf + 2693 43.876 * * [simplify]: Extracting #14: cost 0 inf + 3409 43.877 * [simplify]: Simplified to (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.877 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ 1 (fabs (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.877 * * * * [progress]: [ 87 / 267 ] simplifiying candidate # 43.877 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.877 * * [simplify]: iters left: 6 (12 enodes) 43.884 * * [simplify]: iters left: 5 (40 enodes) 43.894 * * [simplify]: iters left: 4 (42 enodes) 43.900 * * [simplify]: Extracting #0: cost 1 inf + 0 43.900 * * [simplify]: Extracting #1: cost 4 inf + 0 43.900 * * [simplify]: Extracting #2: cost 5 inf + 1 43.901 * * [simplify]: Extracting #3: cost 7 inf + 1 43.901 * * [simplify]: Extracting #4: cost 9 inf + 1 43.901 * * [simplify]: Extracting #5: cost 11 inf + 1 43.901 * * [simplify]: Extracting #6: cost 14 inf + 1 43.901 * * [simplify]: Extracting #7: cost 15 inf + 2 43.901 * * [simplify]: Extracting #8: cost 17 inf + 2 43.901 * * [simplify]: Extracting #9: cost 16 inf + 3 43.901 * * [simplify]: Extracting #10: cost 12 inf + 313 43.901 * * [simplify]: Extracting #11: cost 8 inf + 945 43.901 * * [simplify]: Extracting #12: cost 4 inf + 1897 43.902 * * [simplify]: Extracting #13: cost 2 inf + 2533 43.902 * * [simplify]: Extracting #14: cost 0 inf + 3169 43.903 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.903 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.903 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.903 * * [simplify]: iters left: 6 (12 enodes) 43.906 * * [simplify]: iters left: 5 (40 enodes) 43.912 * * [simplify]: iters left: 4 (42 enodes) 43.918 * * [simplify]: Extracting #0: cost 1 inf + 0 43.919 * * [simplify]: Extracting #1: cost 4 inf + 0 43.919 * * [simplify]: Extracting #2: cost 5 inf + 1 43.919 * * [simplify]: Extracting #3: cost 7 inf + 1 43.919 * * [simplify]: Extracting #4: cost 9 inf + 1 43.919 * * [simplify]: Extracting #5: cost 11 inf + 1 43.919 * * [simplify]: Extracting #6: cost 14 inf + 1 43.919 * * [simplify]: Extracting #7: cost 15 inf + 2 43.919 * * [simplify]: Extracting #8: cost 17 inf + 2 43.919 * * [simplify]: Extracting #9: cost 16 inf + 3 43.919 * * [simplify]: Extracting #10: cost 12 inf + 313 43.919 * * [simplify]: Extracting #11: cost 8 inf + 945 43.920 * * [simplify]: Extracting #12: cost 4 inf + 1897 43.920 * * [simplify]: Extracting #13: cost 2 inf + 2533 43.921 * * [simplify]: Extracting #14: cost 0 inf + 3169 43.922 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 43.922 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.923 * * * * [progress]: [ 88 / 267 ] simplifiying candidate # 43.923 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 43.923 * * [simplify]: iters left: 3 (3 enodes) 43.927 * * [simplify]: iters left: 2 (9 enodes) 43.929 * * [simplify]: iters left: 1 (11 enodes) 43.932 * * [simplify]: Extracting #0: cost 1 inf + 0 43.932 * * [simplify]: Extracting #1: cost 0 inf + 1 43.932 * [simplify]: Simplified to 1 43.932 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ (sqrt 1) (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.933 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 43.933 * * [simplify]: iters left: 6 (11 enodes) 43.940 * * [simplify]: iters left: 5 (37 enodes) 43.950 * * [simplify]: iters left: 4 (39 enodes) 43.961 * * [simplify]: Extracting #0: cost 1 inf + 0 43.962 * * [simplify]: Extracting #1: cost 4 inf + 0 43.962 * * [simplify]: Extracting #2: cost 5 inf + 1 43.962 * * [simplify]: Extracting #3: cost 7 inf + 1 43.962 * * [simplify]: Extracting #4: cost 9 inf + 1 43.962 * * [simplify]: Extracting #5: cost 12 inf + 1 43.962 * * [simplify]: Extracting #6: cost 13 inf + 2 43.962 * * [simplify]: Extracting #7: cost 15 inf + 2 43.962 * * [simplify]: Extracting #8: cost 14 inf + 3 43.962 * * [simplify]: Extracting #9: cost 12 inf + 158 43.962 * * [simplify]: Extracting #10: cost 7 inf + 767 43.963 * * [simplify]: Extracting #11: cost 3 inf + 1639 43.963 * * [simplify]: Extracting #12: cost 0 inf + 2493 43.964 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 43.964 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.964 * * * * [progress]: [ 89 / 267 ] simplifiying candidate # 43.964 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt 1))) 43.964 * * [simplify]: iters left: 4 (4 enodes) 43.966 * * [simplify]: iters left: 3 (14 enodes) 43.968 * * [simplify]: iters left: 2 (16 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 1 1) to (λ (x) (* (* 1 (/ (sqrt 1) (sqrt (+ (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.971 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 43.971 * * [simplify]: iters left: 6 (11 enodes) 43.974 * * [simplify]: iters left: 5 (37 enodes) 43.983 * * [simplify]: iters left: 4 (39 enodes) 43.989 * * [simplify]: Extracting #0: cost 1 inf + 0 43.989 * * [simplify]: Extracting #1: cost 4 inf + 0 43.989 * * [simplify]: Extracting #2: cost 5 inf + 1 43.989 * * [simplify]: Extracting #3: cost 7 inf + 1 43.989 * * [simplify]: Extracting #4: cost 9 inf + 1 43.989 * * [simplify]: Extracting #5: cost 12 inf + 1 43.989 * * [simplify]: Extracting #6: cost 13 inf + 2 43.989 * * [simplify]: Extracting #7: cost 15 inf + 2 43.989 * * [simplify]: Extracting #8: cost 14 inf + 3 43.989 * * [simplify]: Extracting #9: cost 12 inf + 158 43.989 * * [simplify]: Extracting #10: cost 7 inf + 767 43.989 * * [simplify]: Extracting #11: cost 3 inf + 1639 43.990 * * [simplify]: Extracting #12: cost 0 inf + 2493 43.990 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 43.990 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.990 * * * * [progress]: [ 90 / 267 ] simplifiying candidate # 43.991 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt 1))) 43.991 * * [simplify]: iters left: 4 (4 enodes) 43.993 * * [simplify]: iters left: 3 (14 enodes) 43.995 * * [simplify]: iters left: 2 (16 enodes) 43.997 * * [simplify]: Extracting #0: cost 1 inf + 0 43.997 * * [simplify]: Extracting #1: cost 0 inf + 1 43.997 * [simplify]: Simplified to 1 43.997 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ (sqrt 1) (sqrt (+ (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 43.997 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 43.997 * * [simplify]: iters left: 6 (11 enodes) 44.002 * * [simplify]: iters left: 5 (37 enodes) 44.012 * * [simplify]: iters left: 4 (39 enodes) 44.023 * * [simplify]: Extracting #0: cost 1 inf + 0 44.023 * * [simplify]: Extracting #1: cost 4 inf + 0 44.023 * * [simplify]: Extracting #2: cost 5 inf + 1 44.023 * * [simplify]: Extracting #3: cost 7 inf + 1 44.023 * * [simplify]: Extracting #4: cost 9 inf + 1 44.023 * * [simplify]: Extracting #5: cost 12 inf + 1 44.023 * * [simplify]: Extracting #6: cost 13 inf + 2 44.023 * * [simplify]: Extracting #7: cost 15 inf + 2 44.023 * * [simplify]: Extracting #8: cost 14 inf + 3 44.023 * * [simplify]: Extracting #9: cost 12 inf + 158 44.024 * * [simplify]: Extracting #10: cost 7 inf + 767 44.025 * * [simplify]: Extracting #11: cost 3 inf + 1639 44.025 * * [simplify]: Extracting #12: cost 0 inf + 2493 44.026 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 44.026 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.026 * * * * [progress]: [ 91 / 267 ] simplifiying candidate # 44.027 * [simplify]: Simplifying (/ (sqrt 1) (sqrt 1)) 44.027 * * [simplify]: iters left: 3 (3 enodes) 44.030 * * [simplify]: iters left: 2 (9 enodes) 44.033 * * [simplify]: iters left: 1 (11 enodes) 44.036 * * [simplify]: Extracting #0: cost 1 inf + 0 44.036 * * [simplify]: Extracting #1: cost 0 inf + 1 44.036 * [simplify]: Simplified to 1 44.036 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ (sqrt 1) (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.036 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 44.036 * * [simplify]: iters left: 6 (11 enodes) 44.043 * * [simplify]: iters left: 5 (37 enodes) 44.053 * * [simplify]: iters left: 4 (39 enodes) 44.064 * * [simplify]: Extracting #0: cost 1 inf + 0 44.064 * * [simplify]: Extracting #1: cost 4 inf + 0 44.064 * * [simplify]: Extracting #2: cost 5 inf + 1 44.064 * * [simplify]: Extracting #3: cost 7 inf + 1 44.064 * * [simplify]: Extracting #4: cost 9 inf + 1 44.065 * * [simplify]: Extracting #5: cost 12 inf + 1 44.065 * * [simplify]: Extracting #6: cost 13 inf + 2 44.065 * * [simplify]: Extracting #7: cost 15 inf + 2 44.065 * * [simplify]: Extracting #8: cost 14 inf + 3 44.065 * * [simplify]: Extracting #9: cost 12 inf + 158 44.065 * * [simplify]: Extracting #10: cost 7 inf + 767 44.066 * * [simplify]: Extracting #11: cost 3 inf + 1639 44.066 * * [simplify]: Extracting #12: cost 0 inf + 2493 44.067 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 44.067 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.067 * * * * [progress]: [ 92 / 267 ] simplifiying candidate # 44.068 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 44.068 * * [simplify]: iters left: 6 (12 enodes) 44.075 * * [simplify]: iters left: 5 (40 enodes) 44.087 * * [simplify]: iters left: 4 (42 enodes) 44.098 * * [simplify]: Extracting #0: cost 1 inf + 0 44.098 * * [simplify]: Extracting #1: cost 4 inf + 0 44.098 * * [simplify]: Extracting #2: cost 5 inf + 1 44.099 * * [simplify]: Extracting #3: cost 7 inf + 1 44.099 * * [simplify]: Extracting #4: cost 9 inf + 1 44.099 * * [simplify]: Extracting #5: cost 11 inf + 1 44.099 * * [simplify]: Extracting #6: cost 14 inf + 1 44.099 * * [simplify]: Extracting #7: cost 15 inf + 2 44.099 * * [simplify]: Extracting #8: cost 17 inf + 2 44.099 * * [simplify]: Extracting #9: cost 16 inf + 3 44.099 * * [simplify]: Extracting #10: cost 12 inf + 313 44.100 * * [simplify]: Extracting #11: cost 8 inf + 945 44.100 * * [simplify]: Extracting #12: cost 4 inf + 1897 44.101 * * [simplify]: Extracting #13: cost 2 inf + 2533 44.102 * * [simplify]: Extracting #14: cost 0 inf + 3169 44.103 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 44.103 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.103 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 44.103 * * [simplify]: iters left: 6 (12 enodes) 44.110 * * [simplify]: iters left: 5 (40 enodes) 44.121 * * [simplify]: iters left: 4 (42 enodes) 44.137 * * [simplify]: Extracting #0: cost 1 inf + 0 44.137 * * [simplify]: Extracting #1: cost 4 inf + 0 44.137 * * [simplify]: Extracting #2: cost 5 inf + 1 44.137 * * [simplify]: Extracting #3: cost 7 inf + 1 44.137 * * [simplify]: Extracting #4: cost 9 inf + 1 44.137 * * [simplify]: Extracting #5: cost 11 inf + 1 44.137 * * [simplify]: Extracting #6: cost 14 inf + 1 44.137 * * [simplify]: Extracting #7: cost 15 inf + 2 44.137 * * [simplify]: Extracting #8: cost 17 inf + 2 44.137 * * [simplify]: Extracting #9: cost 16 inf + 3 44.137 * * [simplify]: Extracting #10: cost 12 inf + 313 44.138 * * [simplify]: Extracting #11: cost 8 inf + 945 44.138 * * [simplify]: Extracting #12: cost 4 inf + 1897 44.139 * * [simplify]: Extracting #13: cost 2 inf + 2533 44.140 * * [simplify]: Extracting #14: cost 0 inf + 3169 44.140 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 44.140 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.140 * * * * [progress]: [ 93 / 267 ] simplifiying candidate # 44.141 * [simplify]: Simplifying (/ (sqrt 1) 1) 44.141 * * [simplify]: iters left: 3 (3 enodes) 44.143 * * [simplify]: iters left: 2 (9 enodes) 44.144 * * [simplify]: iters left: 1 (11 enodes) 44.146 * * [simplify]: Extracting #0: cost 1 inf + 0 44.146 * * [simplify]: Extracting #1: cost 0 inf + 1 44.146 * [simplify]: Simplified to 1 44.146 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ (sqrt 1) (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.146 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 44.146 * * [simplify]: iters left: 6 (11 enodes) 44.150 * * [simplify]: iters left: 5 (37 enodes) 44.155 * * [simplify]: iters left: 4 (39 enodes) 44.161 * * [simplify]: Extracting #0: cost 1 inf + 0 44.161 * * [simplify]: Extracting #1: cost 4 inf + 0 44.161 * * [simplify]: Extracting #2: cost 5 inf + 1 44.161 * * [simplify]: Extracting #3: cost 7 inf + 1 44.161 * * [simplify]: Extracting #4: cost 9 inf + 1 44.161 * * [simplify]: Extracting #5: cost 12 inf + 1 44.161 * * [simplify]: Extracting #6: cost 13 inf + 2 44.161 * * [simplify]: Extracting #7: cost 15 inf + 2 44.161 * * [simplify]: Extracting #8: cost 14 inf + 3 44.161 * * [simplify]: Extracting #9: cost 12 inf + 158 44.162 * * [simplify]: Extracting #10: cost 7 inf + 767 44.162 * * [simplify]: Extracting #11: cost 3 inf + 1639 44.162 * * [simplify]: Extracting #12: cost 0 inf + 2493 44.163 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 44.163 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.163 * * * * [progress]: [ 94 / 267 ] simplifiying candidate # 44.163 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 44.163 * * [simplify]: iters left: 6 (12 enodes) 44.166 * * [simplify]: iters left: 5 (42 enodes) 44.173 * * [simplify]: iters left: 4 (46 enodes) 44.180 * * [simplify]: Extracting #0: cost 1 inf + 0 44.180 * * [simplify]: Extracting #1: cost 6 inf + 0 44.180 * * [simplify]: Extracting #2: cost 9 inf + 1 44.180 * * [simplify]: Extracting #3: cost 11 inf + 1 44.180 * * [simplify]: Extracting #4: cost 13 inf + 1 44.180 * * [simplify]: Extracting #5: cost 15 inf + 1 44.180 * * [simplify]: Extracting #6: cost 18 inf + 1 44.180 * * [simplify]: Extracting #7: cost 19 inf + 2 44.181 * * [simplify]: Extracting #8: cost 21 inf + 2 44.181 * * [simplify]: Extracting #9: cost 18 inf + 117 44.181 * * [simplify]: Extracting #10: cost 15 inf + 451 44.181 * * [simplify]: Extracting #11: cost 10 inf + 1381 44.181 * * [simplify]: Extracting #12: cost 6 inf + 2573 44.182 * * [simplify]: Extracting #13: cost 3 inf + 3747 44.183 * * [simplify]: Extracting #14: cost 0 inf + 4921 44.183 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 44.183 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.184 * [simplify]: Simplifying (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 44.184 * * [simplify]: iters left: 6 (11 enodes) 44.187 * * [simplify]: iters left: 5 (37 enodes) 44.192 * * [simplify]: iters left: 4 (39 enodes) 44.198 * * [simplify]: Extracting #0: cost 1 inf + 0 44.198 * * [simplify]: Extracting #1: cost 4 inf + 0 44.198 * * [simplify]: Extracting #2: cost 5 inf + 1 44.198 * * [simplify]: Extracting #3: cost 7 inf + 1 44.198 * * [simplify]: Extracting #4: cost 9 inf + 1 44.198 * * [simplify]: Extracting #5: cost 11 inf + 1 44.199 * * [simplify]: Extracting #6: cost 14 inf + 1 44.199 * * [simplify]: Extracting #7: cost 15 inf + 2 44.199 * * [simplify]: Extracting #8: cost 17 inf + 2 44.199 * * [simplify]: Extracting #9: cost 15 inf + 60 44.199 * * [simplify]: Extracting #10: cost 12 inf + 353 44.199 * * [simplify]: Extracting #11: cost 7 inf + 1163 44.199 * * [simplify]: Extracting #12: cost 3 inf + 2235 44.200 * * [simplify]: Extracting #13: cost 0 inf + 3329 44.200 * [simplify]: Simplified to (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 44.200 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ 1 (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.200 * * * * [progress]: [ 95 / 267 ] simplifiying candidate # 44.201 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 44.201 * * [simplify]: iters left: 6 (12 enodes) 44.204 * * [simplify]: iters left: 5 (41 enodes) 44.210 * * [simplify]: iters left: 4 (43 enodes) 44.217 * * [simplify]: Extracting #0: cost 1 inf + 0 44.217 * * [simplify]: Extracting #1: cost 4 inf + 0 44.217 * * [simplify]: Extracting #2: cost 6 inf + 1 44.217 * * [simplify]: Extracting #3: cost 9 inf + 1 44.217 * * [simplify]: Extracting #4: cost 11 inf + 1 44.217 * * [simplify]: Extracting #5: cost 13 inf + 1 44.217 * * [simplify]: Extracting #6: cost 16 inf + 1 44.217 * * [simplify]: Extracting #7: cost 17 inf + 2 44.217 * * [simplify]: Extracting #8: cost 19 inf + 2 44.217 * * [simplify]: Extracting #9: cost 17 inf + 60 44.217 * * [simplify]: Extracting #10: cost 13 inf + 451 44.217 * * [simplify]: Extracting #11: cost 9 inf + 1163 44.218 * * [simplify]: Extracting #12: cost 2 inf + 3369 44.221 * * [simplify]: Extracting #13: cost 0 inf + 4085 44.222 * [simplify]: Simplified to (/ 1 (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 44.222 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ 1 (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.222 * [simplify]: Simplifying (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 44.222 * * [simplify]: iters left: 6 (11 enodes) 44.226 * * [simplify]: iters left: 5 (37 enodes) 44.231 * * [simplify]: iters left: 4 (39 enodes) 44.237 * * [simplify]: Extracting #0: cost 1 inf + 0 44.237 * * [simplify]: Extracting #1: cost 4 inf + 0 44.237 * * [simplify]: Extracting #2: cost 5 inf + 1 44.237 * * [simplify]: Extracting #3: cost 7 inf + 1 44.237 * * [simplify]: Extracting #4: cost 9 inf + 1 44.237 * * [simplify]: Extracting #5: cost 11 inf + 1 44.237 * * [simplify]: Extracting #6: cost 14 inf + 1 44.237 * * [simplify]: Extracting #7: cost 15 inf + 2 44.237 * * [simplify]: Extracting #8: cost 17 inf + 2 44.237 * * [simplify]: Extracting #9: cost 15 inf + 60 44.237 * * [simplify]: Extracting #10: cost 12 inf + 353 44.237 * * [simplify]: Extracting #11: cost 7 inf + 1163 44.238 * * [simplify]: Extracting #12: cost 3 inf + 2315 44.238 * * [simplify]: Extracting #13: cost 0 inf + 3409 44.239 * [simplify]: Simplified to (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 44.239 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ 1 (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.239 * * * * [progress]: [ 96 / 267 ] simplifiying candidate # 44.239 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 44.239 * * [simplify]: iters left: 6 (11 enodes) 44.242 * * [simplify]: iters left: 5 (37 enodes) 44.247 * * [simplify]: iters left: 4 (39 enodes) 44.253 * * [simplify]: Extracting #0: cost 1 inf + 0 44.253 * * [simplify]: Extracting #1: cost 4 inf + 0 44.253 * * [simplify]: Extracting #2: cost 5 inf + 1 44.253 * * [simplify]: Extracting #3: cost 7 inf + 1 44.253 * * [simplify]: Extracting #4: cost 9 inf + 1 44.253 * * [simplify]: Extracting #5: cost 11 inf + 1 44.254 * * [simplify]: Extracting #6: cost 14 inf + 1 44.254 * * [simplify]: Extracting #7: cost 15 inf + 2 44.254 * * [simplify]: Extracting #8: cost 17 inf + 2 44.254 * * [simplify]: Extracting #9: cost 15 inf + 60 44.254 * * [simplify]: Extracting #10: cost 12 inf + 353 44.254 * * [simplify]: Extracting #11: cost 7 inf + 1163 44.254 * * [simplify]: Extracting #12: cost 3 inf + 2195 44.255 * * [simplify]: Extracting #13: cost 0 inf + 3169 44.255 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 44.255 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.256 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 44.256 * * [simplify]: iters left: 6 (11 enodes) 44.259 * * [simplify]: iters left: 5 (37 enodes) 44.264 * * [simplify]: iters left: 4 (39 enodes) 44.270 * * [simplify]: Extracting #0: cost 1 inf + 0 44.270 * * [simplify]: Extracting #1: cost 4 inf + 0 44.270 * * [simplify]: Extracting #2: cost 5 inf + 1 44.270 * * [simplify]: Extracting #3: cost 7 inf + 1 44.270 * * [simplify]: Extracting #4: cost 9 inf + 1 44.270 * * [simplify]: Extracting #5: cost 11 inf + 1 44.270 * * [simplify]: Extracting #6: cost 14 inf + 1 44.271 * * [simplify]: Extracting #7: cost 15 inf + 2 44.271 * * [simplify]: Extracting #8: cost 17 inf + 2 44.271 * * [simplify]: Extracting #9: cost 15 inf + 60 44.271 * * [simplify]: Extracting #10: cost 12 inf + 353 44.271 * * [simplify]: Extracting #11: cost 7 inf + 1163 44.271 * * [simplify]: Extracting #12: cost 3 inf + 2195 44.272 * * [simplify]: Extracting #13: cost 0 inf + 3169 44.272 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 44.272 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.272 * * * * [progress]: [ 97 / 267 ] simplifiying candidate # 44.273 * [simplify]: Simplifying (/ 1 (sqrt 1)) 44.273 * * [simplify]: iters left: 3 (3 enodes) 44.277 * * [simplify]: iters left: 2 (11 enodes) 44.278 * * [simplify]: iters left: 1 (13 enodes) 44.280 * * [simplify]: Extracting #0: cost 1 inf + 0 44.280 * * [simplify]: Extracting #1: cost 0 inf + 1 44.280 * [simplify]: Simplified to 1 44.280 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.281 * [simplify]: Simplifying (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 44.281 * * [simplify]: iters left: 6 (10 enodes) 44.283 * * [simplify]: iters left: 5 (34 enodes) 44.289 * * [simplify]: iters left: 4 (36 enodes) 44.294 * * [simplify]: Extracting #0: cost 1 inf + 0 44.294 * * [simplify]: Extracting #1: cost 4 inf + 0 44.294 * * [simplify]: Extracting #2: cost 5 inf + 1 44.294 * * [simplify]: Extracting #3: cost 7 inf + 1 44.294 * * [simplify]: Extracting #4: cost 9 inf + 1 44.294 * * [simplify]: Extracting #5: cost 12 inf + 1 44.294 * * [simplify]: Extracting #6: cost 13 inf + 2 44.294 * * [simplify]: Extracting #7: cost 15 inf + 2 44.294 * * [simplify]: Extracting #8: cost 13 inf + 60 44.294 * * [simplify]: Extracting #9: cost 9 inf + 451 44.295 * * [simplify]: Extracting #10: cost 4 inf + 1381 44.295 * * [simplify]: Extracting #11: cost 0 inf + 2493 44.296 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 44.296 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.296 * * * * [progress]: [ 98 / 267 ] simplifiying candidate # 44.296 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 1))) 44.296 * * [simplify]: iters left: 4 (4 enodes) 44.299 * * [simplify]: iters left: 3 (14 enodes) 44.303 * * [simplify]: iters left: 2 (16 enodes) 44.307 * * [simplify]: Extracting #0: cost 1 inf + 0 44.307 * * [simplify]: Extracting #1: cost 0 inf + 1 44.307 * [simplify]: Simplified to 1 44.307 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ 1 (sqrt (+ (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.307 * [simplify]: Simplifying (/ 1 (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 44.307 * * [simplify]: iters left: 6 (11 enodes) 44.318 * * [simplify]: iters left: 5 (37 enodes) 44.324 * * [simplify]: iters left: 4 (39 enodes) 44.330 * * [simplify]: Extracting #0: cost 1 inf + 0 44.330 * * [simplify]: Extracting #1: cost 4 inf + 0 44.330 * * [simplify]: Extracting #2: cost 5 inf + 1 44.330 * * [simplify]: Extracting #3: cost 7 inf + 1 44.330 * * [simplify]: Extracting #4: cost 9 inf + 1 44.331 * * [simplify]: Extracting #5: cost 12 inf + 1 44.331 * * [simplify]: Extracting #6: cost 13 inf + 2 44.331 * * [simplify]: Extracting #7: cost 15 inf + 2 44.331 * * [simplify]: Extracting #8: cost 14 inf + 3 44.331 * * [simplify]: Extracting #9: cost 12 inf + 158 44.331 * * [simplify]: Extracting #10: cost 7 inf + 767 44.331 * * [simplify]: Extracting #11: cost 3 inf + 1639 44.332 * * [simplify]: Extracting #12: cost 0 inf + 2493 44.332 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 44.332 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.332 * * * * [progress]: [ 99 / 267 ] simplifiying candidate # 44.332 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 1))) 44.332 * * [simplify]: iters left: 4 (4 enodes) 44.334 * * [simplify]: iters left: 3 (14 enodes) 44.336 * * [simplify]: iters left: 2 (16 enodes) 44.338 * * [simplify]: Extracting #0: cost 1 inf + 0 44.338 * * [simplify]: Extracting #1: cost 0 inf + 1 44.338 * [simplify]: Simplified to 1 44.338 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ 1 (sqrt (+ (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.339 * [simplify]: Simplifying (/ 1 (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 44.339 * * [simplify]: iters left: 6 (11 enodes) 44.342 * * [simplify]: iters left: 5 (37 enodes) 44.348 * * [simplify]: iters left: 4 (39 enodes) 44.354 * * [simplify]: Extracting #0: cost 1 inf + 0 44.354 * * [simplify]: Extracting #1: cost 4 inf + 0 44.354 * * [simplify]: Extracting #2: cost 5 inf + 1 44.354 * * [simplify]: Extracting #3: cost 7 inf + 1 44.354 * * [simplify]: Extracting #4: cost 9 inf + 1 44.354 * * [simplify]: Extracting #5: cost 12 inf + 1 44.354 * * [simplify]: Extracting #6: cost 13 inf + 2 44.354 * * [simplify]: Extracting #7: cost 15 inf + 2 44.354 * * [simplify]: Extracting #8: cost 14 inf + 3 44.354 * * [simplify]: Extracting #9: cost 12 inf + 158 44.354 * * [simplify]: Extracting #10: cost 7 inf + 767 44.354 * * [simplify]: Extracting #11: cost 3 inf + 1639 44.355 * * [simplify]: Extracting #12: cost 0 inf + 2493 44.355 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 44.355 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.355 * * * * [progress]: [ 100 / 267 ] simplifiying candidate # 44.356 * [simplify]: Simplifying (/ 1 (sqrt 1)) 44.356 * * [simplify]: iters left: 3 (3 enodes) 44.359 * * [simplify]: iters left: 2 (11 enodes) 44.361 * * [simplify]: iters left: 1 (13 enodes) 44.363 * * [simplify]: Extracting #0: cost 1 inf + 0 44.363 * * [simplify]: Extracting #1: cost 0 inf + 1 44.363 * [simplify]: Simplified to 1 44.363 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.363 * [simplify]: Simplifying (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 44.363 * * [simplify]: iters left: 6 (10 enodes) 44.368 * * [simplify]: iters left: 5 (34 enodes) 44.378 * * [simplify]: iters left: 4 (36 enodes) 44.384 * * [simplify]: Extracting #0: cost 1 inf + 0 44.384 * * [simplify]: Extracting #1: cost 4 inf + 0 44.385 * * [simplify]: Extracting #2: cost 5 inf + 1 44.385 * * [simplify]: Extracting #3: cost 7 inf + 1 44.385 * * [simplify]: Extracting #4: cost 9 inf + 1 44.385 * * [simplify]: Extracting #5: cost 12 inf + 1 44.385 * * [simplify]: Extracting #6: cost 13 inf + 2 44.385 * * [simplify]: Extracting #7: cost 15 inf + 2 44.385 * * [simplify]: Extracting #8: cost 13 inf + 60 44.385 * * [simplify]: Extracting #9: cost 9 inf + 451 44.385 * * [simplify]: Extracting #10: cost 4 inf + 1381 44.385 * * [simplify]: Extracting #11: cost 0 inf + 2493 44.386 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 44.386 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.386 * * * * [progress]: [ 101 / 267 ] simplifiying candidate # 44.386 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 44.386 * * [simplify]: iters left: 6 (11 enodes) 44.389 * * [simplify]: iters left: 5 (37 enodes) 44.395 * * [simplify]: iters left: 4 (39 enodes) 44.401 * * [simplify]: Extracting #0: cost 1 inf + 0 44.401 * * [simplify]: Extracting #1: cost 4 inf + 0 44.401 * * [simplify]: Extracting #2: cost 5 inf + 1 44.401 * * [simplify]: Extracting #3: cost 7 inf + 1 44.401 * * [simplify]: Extracting #4: cost 9 inf + 1 44.401 * * [simplify]: Extracting #5: cost 11 inf + 1 44.401 * * [simplify]: Extracting #6: cost 14 inf + 1 44.401 * * [simplify]: Extracting #7: cost 15 inf + 2 44.401 * * [simplify]: Extracting #8: cost 17 inf + 2 44.401 * * [simplify]: Extracting #9: cost 15 inf + 60 44.401 * * [simplify]: Extracting #10: cost 12 inf + 353 44.402 * * [simplify]: Extracting #11: cost 7 inf + 1163 44.402 * * [simplify]: Extracting #12: cost 3 inf + 2195 44.402 * * [simplify]: Extracting #13: cost 0 inf + 3169 44.403 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 44.403 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.403 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 44.403 * * [simplify]: iters left: 6 (11 enodes) 44.406 * * [simplify]: iters left: 5 (37 enodes) 44.420 * * [simplify]: iters left: 4 (39 enodes) 44.425 * * [simplify]: Extracting #0: cost 1 inf + 0 44.425 * * [simplify]: Extracting #1: cost 4 inf + 0 44.425 * * [simplify]: Extracting #2: cost 5 inf + 1 44.426 * * [simplify]: Extracting #3: cost 7 inf + 1 44.426 * * [simplify]: Extracting #4: cost 9 inf + 1 44.426 * * [simplify]: Extracting #5: cost 11 inf + 1 44.426 * * [simplify]: Extracting #6: cost 14 inf + 1 44.426 * * [simplify]: Extracting #7: cost 15 inf + 2 44.426 * * [simplify]: Extracting #8: cost 17 inf + 2 44.426 * * [simplify]: Extracting #9: cost 15 inf + 60 44.426 * * [simplify]: Extracting #10: cost 12 inf + 353 44.426 * * [simplify]: Extracting #11: cost 7 inf + 1163 44.427 * * [simplify]: Extracting #12: cost 3 inf + 2195 44.427 * * [simplify]: Extracting #13: cost 0 inf + 3169 44.428 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 44.428 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.428 * * * * [progress]: [ 102 / 267 ] simplifiying candidate # 44.428 * [simplify]: Simplifying (/ 1 1) 44.428 * * [simplify]: iters left: 2 (2 enodes) 44.429 * * [simplify]: iters left: 1 (6 enodes) 44.430 * * [simplify]: Extracting #0: cost 1 inf + 0 44.430 * * [simplify]: Extracting #1: cost 0 inf + 1 44.430 * [simplify]: Simplified to 1 44.430 * [simplify]: Simplified (2 1 1) to (λ (x) (* (* 1 (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.430 * [simplify]: Simplifying (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 44.430 * * [simplify]: iters left: 6 (10 enodes) 44.433 * * [simplify]: iters left: 5 (34 enodes) 44.438 * * [simplify]: iters left: 4 (36 enodes) 44.443 * * [simplify]: Extracting #0: cost 1 inf + 0 44.443 * * [simplify]: Extracting #1: cost 4 inf + 0 44.444 * * [simplify]: Extracting #2: cost 5 inf + 1 44.444 * * [simplify]: Extracting #3: cost 7 inf + 1 44.444 * * [simplify]: Extracting #4: cost 9 inf + 1 44.444 * * [simplify]: Extracting #5: cost 12 inf + 1 44.444 * * [simplify]: Extracting #6: cost 13 inf + 2 44.444 * * [simplify]: Extracting #7: cost 15 inf + 2 44.444 * * [simplify]: Extracting #8: cost 13 inf + 60 44.444 * * [simplify]: Extracting #9: cost 9 inf + 451 44.444 * * [simplify]: Extracting #10: cost 4 inf + 1381 44.444 * * [simplify]: Extracting #11: cost 0 inf + 2493 44.445 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 44.445 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* 1 (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.445 * * * * [progress]: [ 103 / 267 ] simplifiying candidate # 44.445 * * * * [progress]: [ 104 / 267 ] simplifiying candidate # 44.445 * * * * [progress]: [ 105 / 267 ] simplifiying candidate # 44.445 * * * * [progress]: [ 106 / 267 ] simplifiying candidate # 44.445 * [simplify]: Simplifying (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 44.445 * * [simplify]: iters left: 6 (10 enodes) 44.448 * * [simplify]: iters left: 5 (34 enodes) 44.458 * * [simplify]: iters left: 4 (36 enodes) 44.469 * * [simplify]: Extracting #0: cost 1 inf + 0 44.469 * * [simplify]: Extracting #1: cost 3 inf + 0 44.469 * * [simplify]: Extracting #2: cost 5 inf + 0 44.469 * * [simplify]: Extracting #3: cost 8 inf + 0 44.469 * * [simplify]: Extracting #4: cost 9 inf + 1 44.469 * * [simplify]: Extracting #5: cost 12 inf + 1 44.469 * * [simplify]: Extracting #6: cost 13 inf + 2 44.469 * * [simplify]: Extracting #7: cost 15 inf + 2 44.469 * * [simplify]: Extracting #8: cost 13 inf + 60 44.470 * * [simplify]: Extracting #9: cost 9 inf + 451 44.470 * * [simplify]: Extracting #10: cost 4 inf + 1381 44.471 * * [simplify]: Extracting #11: cost 0 inf + 2573 44.472 * [simplify]: Simplified to (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 44.472 * [simplify]: Simplified (2 1 2) to (λ (x) (* (/ (/ 1 (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.472 * * * * [progress]: [ 107 / 267 ] simplifiying candidate # 44.472 * [simplify]: Simplifying (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 44.472 * * [simplify]: iters left: 6 (10 enodes) 44.478 * * [simplify]: iters left: 5 (34 enodes) 44.488 * * [simplify]: iters left: 4 (36 enodes) 44.498 * * [simplify]: Extracting #0: cost 1 inf + 0 44.499 * * [simplify]: Extracting #1: cost 3 inf + 0 44.499 * * [simplify]: Extracting #2: cost 5 inf + 0 44.499 * * [simplify]: Extracting #3: cost 8 inf + 0 44.499 * * [simplify]: Extracting #4: cost 9 inf + 1 44.499 * * [simplify]: Extracting #5: cost 12 inf + 1 44.499 * * [simplify]: Extracting #6: cost 13 inf + 2 44.499 * * [simplify]: Extracting #7: cost 15 inf + 2 44.499 * * [simplify]: Extracting #8: cost 13 inf + 60 44.499 * * [simplify]: Extracting #9: cost 9 inf + 451 44.500 * * [simplify]: Extracting #10: cost 4 inf + 1381 44.500 * * [simplify]: Extracting #11: cost 0 inf + 2653 44.501 * [simplify]: Simplified to (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 44.501 * [simplify]: Simplified (2 1 2) to (λ (x) (* (/ (/ 1 (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.501 * * * * [progress]: [ 108 / 267 ] simplifiying candidate # 44.502 * [simplify]: Simplifying (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 44.502 * * [simplify]: iters left: 6 (10 enodes) 44.507 * * [simplify]: iters left: 5 (34 enodes) 44.517 * * [simplify]: iters left: 4 (36 enodes) 44.527 * * [simplify]: Extracting #0: cost 1 inf + 0 44.527 * * [simplify]: Extracting #1: cost 3 inf + 0 44.527 * * [simplify]: Extracting #2: cost 5 inf + 0 44.527 * * [simplify]: Extracting #3: cost 8 inf + 0 44.527 * * [simplify]: Extracting #4: cost 9 inf + 1 44.528 * * [simplify]: Extracting #5: cost 12 inf + 1 44.528 * * [simplify]: Extracting #6: cost 13 inf + 2 44.528 * * [simplify]: Extracting #7: cost 15 inf + 2 44.528 * * [simplify]: Extracting #8: cost 13 inf + 60 44.528 * * [simplify]: Extracting #9: cost 9 inf + 451 44.528 * * [simplify]: Extracting #10: cost 4 inf + 1381 44.529 * * [simplify]: Extracting #11: cost 0 inf + 2493 44.530 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 44.530 * [simplify]: Simplified (2 1 2) to (λ (x) (* (/ (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.530 * * * * [progress]: [ 109 / 267 ] simplifiying candidate # 44.531 * [simplify]: Simplifying (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 44.531 * * [simplify]: iters left: 6 (9 enodes) 44.535 * * [simplify]: iters left: 5 (31 enodes) 44.545 * * [simplify]: iters left: 4 (33 enodes) 44.558 * * [simplify]: Extracting #0: cost 1 inf + 0 44.558 * * [simplify]: Extracting #1: cost 3 inf + 0 44.558 * * [simplify]: Extracting #2: cost 6 inf + 0 44.558 * * [simplify]: Extracting #3: cost 7 inf + 1 44.558 * * [simplify]: Extracting #4: cost 10 inf + 1 44.558 * * [simplify]: Extracting #5: cost 11 inf + 2 44.558 * * [simplify]: Extracting #6: cost 13 inf + 2 44.558 * * [simplify]: Extracting #7: cost 10 inf + 117 44.558 * * [simplify]: Extracting #8: cost 8 inf + 353 44.559 * * [simplify]: Extracting #9: cost 4 inf + 985 44.559 * * [simplify]: Extracting #10: cost 0 inf + 1897 44.560 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 44.560 * [simplify]: Simplified (2 1 2) to (λ (x) (* (/ (/ 1 (sqrt 1)) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.561 * * * * [progress]: [ 110 / 267 ] simplifiying candidate # 44.561 * [simplify]: Simplifying (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 44.561 * * [simplify]: iters left: 6 (10 enodes) 44.567 * * [simplify]: iters left: 5 (34 enodes) 44.576 * * [simplify]: iters left: 4 (36 enodes) 44.582 * * [simplify]: Extracting #0: cost 1 inf + 0 44.582 * * [simplify]: Extracting #1: cost 3 inf + 0 44.582 * * [simplify]: Extracting #2: cost 6 inf + 0 44.582 * * [simplify]: Extracting #3: cost 7 inf + 1 44.582 * * [simplify]: Extracting #4: cost 10 inf + 1 44.582 * * [simplify]: Extracting #5: cost 11 inf + 2 44.582 * * [simplify]: Extracting #6: cost 13 inf + 2 44.582 * * [simplify]: Extracting #7: cost 12 inf + 3 44.582 * * [simplify]: Extracting #8: cost 9 inf + 215 44.582 * * [simplify]: Extracting #9: cost 4 inf + 945 44.582 * * [simplify]: Extracting #10: cost 0 inf + 1897 44.583 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 44.583 * [simplify]: Simplified (2 1 2) to (λ (x) (* (/ (/ 1 (sqrt (sqrt 1))) (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.583 * * * * [progress]: [ 111 / 267 ] simplifiying candidate # 44.583 * [simplify]: Simplifying (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 44.583 * * [simplify]: iters left: 6 (10 enodes) 44.586 * * [simplify]: iters left: 5 (34 enodes) 44.591 * * [simplify]: iters left: 4 (36 enodes) 44.597 * * [simplify]: Extracting #0: cost 1 inf + 0 44.597 * * [simplify]: Extracting #1: cost 3 inf + 0 44.597 * * [simplify]: Extracting #2: cost 6 inf + 0 44.597 * * [simplify]: Extracting #3: cost 7 inf + 1 44.597 * * [simplify]: Extracting #4: cost 10 inf + 1 44.597 * * [simplify]: Extracting #5: cost 11 inf + 2 44.597 * * [simplify]: Extracting #6: cost 13 inf + 2 44.597 * * [simplify]: Extracting #7: cost 12 inf + 3 44.597 * * [simplify]: Extracting #8: cost 9 inf + 215 44.597 * * [simplify]: Extracting #9: cost 4 inf + 945 44.598 * * [simplify]: Extracting #10: cost 0 inf + 1897 44.598 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 44.598 * [simplify]: Simplified (2 1 2) to (λ (x) (* (/ (/ 1 (sqrt (sqrt 1))) (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.598 * * * * [progress]: [ 112 / 267 ] simplifiying candidate # 44.598 * [simplify]: Simplifying (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 44.598 * * [simplify]: iters left: 6 (9 enodes) 44.601 * * [simplify]: iters left: 5 (31 enodes) 44.606 * * [simplify]: iters left: 4 (33 enodes) 44.611 * * [simplify]: Extracting #0: cost 1 inf + 0 44.611 * * [simplify]: Extracting #1: cost 3 inf + 0 44.611 * * [simplify]: Extracting #2: cost 6 inf + 0 44.611 * * [simplify]: Extracting #3: cost 7 inf + 1 44.611 * * [simplify]: Extracting #4: cost 10 inf + 1 44.611 * * [simplify]: Extracting #5: cost 11 inf + 2 44.611 * * [simplify]: Extracting #6: cost 13 inf + 2 44.611 * * [simplify]: Extracting #7: cost 10 inf + 117 44.611 * * [simplify]: Extracting #8: cost 8 inf + 353 44.612 * * [simplify]: Extracting #9: cost 4 inf + 985 44.612 * * [simplify]: Extracting #10: cost 0 inf + 1897 44.612 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 44.612 * [simplify]: Simplified (2 1 2) to (λ (x) (* (/ (/ 1 (sqrt 1)) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.612 * * * * [progress]: [ 113 / 267 ] simplifiying candidate # 44.613 * [simplify]: Simplifying (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 44.613 * * [simplify]: iters left: 6 (10 enodes) 44.615 * * [simplify]: iters left: 5 (34 enodes) 44.620 * * [simplify]: iters left: 4 (36 enodes) 44.625 * * [simplify]: Extracting #0: cost 1 inf + 0 44.626 * * [simplify]: Extracting #1: cost 3 inf + 0 44.626 * * [simplify]: Extracting #2: cost 5 inf + 0 44.626 * * [simplify]: Extracting #3: cost 8 inf + 0 44.626 * * [simplify]: Extracting #4: cost 9 inf + 1 44.626 * * [simplify]: Extracting #5: cost 12 inf + 1 44.626 * * [simplify]: Extracting #6: cost 13 inf + 2 44.626 * * [simplify]: Extracting #7: cost 15 inf + 2 44.626 * * [simplify]: Extracting #8: cost 13 inf + 60 44.626 * * [simplify]: Extracting #9: cost 9 inf + 451 44.626 * * [simplify]: Extracting #10: cost 4 inf + 1381 44.626 * * [simplify]: Extracting #11: cost 0 inf + 2493 44.627 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 44.627 * [simplify]: Simplified (2 1 2) to (λ (x) (* (/ (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.627 * * * * [progress]: [ 114 / 267 ] simplifiying candidate # 44.627 * [simplify]: Simplifying (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 44.627 * * [simplify]: iters left: 6 (9 enodes) 44.630 * * [simplify]: iters left: 5 (31 enodes) 44.634 * * [simplify]: iters left: 4 (33 enodes) 44.639 * * [simplify]: Extracting #0: cost 1 inf + 0 44.639 * * [simplify]: Extracting #1: cost 3 inf + 0 44.639 * * [simplify]: Extracting #2: cost 6 inf + 0 44.639 * * [simplify]: Extracting #3: cost 7 inf + 1 44.639 * * [simplify]: Extracting #4: cost 10 inf + 1 44.640 * * [simplify]: Extracting #5: cost 11 inf + 2 44.640 * * [simplify]: Extracting #6: cost 13 inf + 2 44.640 * * [simplify]: Extracting #7: cost 10 inf + 117 44.640 * * [simplify]: Extracting #8: cost 8 inf + 353 44.640 * * [simplify]: Extracting #9: cost 4 inf + 985 44.640 * * [simplify]: Extracting #10: cost 0 inf + 1897 44.641 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 44.641 * [simplify]: Simplified (2 1 2) to (λ (x) (* (/ (/ 1 1) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.641 * * * * [progress]: [ 115 / 267 ] simplifiying candidate # 44.641 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 44.641 * * [simplify]: iters left: 3 (3 enodes) 44.644 * * [simplify]: iters left: 2 (11 enodes) 44.648 * * [simplify]: iters left: 1 (13 enodes) 44.650 * * [simplify]: Extracting #0: cost 1 inf + 0 44.650 * * [simplify]: Extracting #1: cost 0 inf + 1 44.650 * [simplify]: Simplified to 1 44.650 * [simplify]: Simplified (2 1 1) to (λ (x) (* (/ 1 (/ (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt 1))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.651 * * * * [progress]: [ 116 / 267 ] simplifiying candidate # 44.651 * [simplify]: Simplifying (sqrt 1) 44.651 * * [simplify]: iters left: 1 (2 enodes) 44.653 * * [simplify]: Extracting #0: cost 1 inf + 0 44.653 * * [simplify]: Extracting #1: cost 0 inf + 1 44.653 * [simplify]: Simplified to 1 44.653 * [simplify]: Simplified (2 1 1) to (λ (x) (* (/ 1 (/ (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt 1))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 44.653 * * * * [progress]: [ 117 / 267 ] simplifiying candidate # 44.653 * * * * [progress]: [ 118 / 267 ] simplifiying candidate # 44.653 * [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)))))) 44.653 * * [simplify]: iters left: 6 (13 enodes) 44.656 * * [simplify]: iters left: 5 (45 enodes) 44.665 * * [simplify]: iters left: 4 (86 enodes) 44.693 * * [simplify]: iters left: 3 (153 enodes) 44.759 * * [simplify]: iters left: 2 (245 enodes) 44.862 * * [simplify]: iters left: 1 (357 enodes) 45.013 * * [simplify]: Extracting #0: cost 1 inf + 0 45.013 * * [simplify]: Extracting #1: cost 3 inf + 0 45.013 * * [simplify]: Extracting #2: cost 38 inf + 0 45.014 * * [simplify]: Extracting #3: cost 59 inf + 5 45.014 * * [simplify]: Extracting #4: cost 60 inf + 6 45.015 * * [simplify]: Extracting #5: cost 46 inf + 1602 45.019 * * [simplify]: Extracting #6: cost 7 inf + 10115 45.025 * * [simplify]: Extracting #7: cost 0 inf + 11762 45.028 * [simplify]: Simplified to (sqrt (+ 1 (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 45.028 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ 1 (sqrt (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))) (sqrt (+ 1 (- (+ (/ 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))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 45.029 * * * * [progress]: [ 119 / 267 ] simplifiying candidate # 45.029 * [simplify]: Simplifying (sqrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 45.029 * * [simplify]: iters left: 6 (9 enodes) 45.032 * * [simplify]: iters left: 5 (32 enodes) 45.037 * * [simplify]: iters left: 4 (37 enodes) 45.043 * * [simplify]: Extracting #0: cost 1 inf + 0 45.043 * * [simplify]: Extracting #1: cost 3 inf + 0 45.043 * * [simplify]: Extracting #2: cost 7 inf + 0 45.043 * * [simplify]: Extracting #3: cost 9 inf + 1 45.043 * * [simplify]: Extracting #4: cost 12 inf + 1 45.043 * * [simplify]: Extracting #5: cost 13 inf + 2 45.043 * * [simplify]: Extracting #6: cost 15 inf + 2 45.043 * * [simplify]: Extracting #7: cost 13 inf + 60 45.044 * * [simplify]: Extracting #8: cost 10 inf + 353 45.044 * * [simplify]: Extracting #9: cost 3 inf + 1599 45.044 * * [simplify]: Extracting #10: cost 0 inf + 2333 45.044 * [simplify]: Simplified to (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 45.045 * [simplify]: Simplified (2 1 2) to (λ (x) (* (* (/ 1 (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 45.045 * * * * [progress]: [ 120 / 267 ] simplifiying candidate #real (real->posit16 (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))> 45.045 * * * * [progress]: [ 121 / 267 ] simplifiying candidate # 45.045 * * * * [progress]: [ 122 / 267 ] simplifiying candidate # 45.045 * [simplify]: Simplifying (- (log (+ (/ 1/2 (hypot 1 x)) 1/2)) (log (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 45.045 * * [simplify]: iters left: 6 (12 enodes) 45.048 * * [simplify]: iters left: 5 (42 enodes) 45.055 * * [simplify]: iters left: 4 (47 enodes) 45.062 * * [simplify]: Extracting #0: cost 1 inf + 0 45.062 * * [simplify]: Extracting #1: cost 5 inf + 0 45.062 * * [simplify]: Extracting #2: cost 10 inf + 0 45.062 * * [simplify]: Extracting #3: cost 15 inf + 0 45.062 * * [simplify]: Extracting #4: cost 19 inf + 1 45.063 * * [simplify]: Extracting #5: cost 21 inf + 2 45.063 * * [simplify]: Extracting #6: cost 18 inf + 117 45.063 * * [simplify]: Extracting #7: cost 15 inf + 451 45.063 * * [simplify]: Extracting #8: cost 10 inf + 1361 45.063 * * [simplify]: Extracting #9: cost 6 inf + 2313 45.064 * * [simplify]: Extracting #10: cost 4 inf + 3079 45.064 * * [simplify]: Extracting #11: cost 1 inf + 4213 45.065 * * [simplify]: Extracting #12: cost 0 inf + 4581 45.066 * [simplify]: Simplified to (- (log (+ 1/2 (/ 1/2 (hypot 1 x)))) (log (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 45.066 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (exp (- (log (+ 1/2 (/ 1/2 (hypot 1 x)))) (log (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 45.066 * * * * [progress]: [ 123 / 267 ] simplifiying candidate # 45.066 * * * * [progress]: [ 124 / 267 ] simplifiying candidate # 45.066 * * * * [progress]: [ 125 / 267 ] simplifiying candidate # 45.066 * [simplify]: Simplifying (/ (* (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 45.066 * * [simplify]: iters left: 6 (14 enodes) 45.073 * * [simplify]: iters left: 5 (65 enodes) 45.094 * * [simplify]: iters left: 4 (189 enodes) 45.172 * * [simplify]: iters left: 3 (422 enodes) 45.340 * * [simplify]: Extracting #0: cost 1 inf + 0 45.340 * * [simplify]: Extracting #1: cost 39 inf + 0 45.341 * * [simplify]: Extracting #2: cost 142 inf + 2 45.342 * * [simplify]: Extracting #3: cost 224 inf + 5 45.344 * * [simplify]: Extracting #4: cost 180 inf + 9328 45.354 * * [simplify]: Extracting #5: cost 54 inf + 44248 45.372 * * [simplify]: Extracting #6: cost 3 inf + 63955 45.391 * * [simplify]: Extracting #7: cost 0 inf + 65521 45.410 * [simplify]: Simplified to (/ (* (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 45.411 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (* (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 45.411 * * * * [progress]: [ 126 / 267 ] simplifiying candidate # 45.411 * * * * [progress]: [ 127 / 267 ] simplifiying candidate # 45.411 * * * * [progress]: [ 128 / 267 ] simplifiying candidate # 45.411 * * * * [progress]: [ 129 / 267 ] simplifiying candidate # 45.412 * * * * [progress]: [ 130 / 267 ] simplifiying candidate # 45.412 * [simplify]: Simplifying (/ (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 45.412 * * [simplify]: iters left: 6 (14 enodes) 45.416 * * [simplify]: iters left: 5 (52 enodes) 45.424 * * [simplify]: iters left: 4 (69 enodes) 45.438 * * [simplify]: iters left: 3 (76 enodes) 45.448 * * [simplify]: iters left: 2 (79 enodes) 45.459 * * [simplify]: Extracting #0: cost 1 inf + 0 45.460 * * [simplify]: Extracting #1: cost 11 inf + 0 45.460 * * [simplify]: Extracting #2: cost 22 inf + 0 45.460 * * [simplify]: Extracting #3: cost 27 inf + 0 45.460 * * [simplify]: Extracting #4: cost 31 inf + 1 45.460 * * [simplify]: Extracting #5: cost 33 inf + 2 45.460 * * [simplify]: Extracting #6: cost 28 inf + 394 45.461 * * [simplify]: Extracting #7: cost 20 inf + 1857 45.462 * * [simplify]: Extracting #8: cost 10 inf + 5397 45.465 * * [simplify]: Extracting #9: cost 2 inf + 9101 45.469 * * [simplify]: Extracting #10: cost 0 inf + 10097 45.473 * [simplify]: Simplified to (* (/ (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 45.473 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (* (/ (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 45.473 * [simplify]: Simplifying (/ (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 45.474 * * [simplify]: iters left: 6 (12 enodes) 45.479 * * [simplify]: iters left: 5 (40 enodes) 45.491 * * [simplify]: iters left: 4 (42 enodes) 45.500 * * [simplify]: Extracting #0: cost 1 inf + 0 45.500 * * [simplify]: Extracting #1: cost 4 inf + 0 45.500 * * [simplify]: Extracting #2: cost 8 inf + 0 45.500 * * [simplify]: Extracting #3: cost 13 inf + 0 45.500 * * [simplify]: Extracting #4: cost 17 inf + 1 45.500 * * [simplify]: Extracting #5: cost 19 inf + 2 45.500 * * [simplify]: Extracting #6: cost 17 inf + 60 45.501 * * [simplify]: Extracting #7: cost 10 inf + 945 45.501 * * [simplify]: Extracting #8: cost 4 inf + 2333 45.501 * * [simplify]: Extracting #9: cost 2 inf + 3129 45.502 * * [simplify]: Extracting #10: cost 0 inf + 3925 45.502 * [simplify]: Simplified to (/ (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 45.503 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 45.503 * * * * [progress]: [ 131 / 267 ] simplifiying candidate # 45.503 * [simplify]: Simplifying (/ (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 45.503 * * [simplify]: iters left: 6 (14 enodes) 45.507 * * [simplify]: iters left: 5 (49 enodes) 45.514 * * [simplify]: iters left: 4 (55 enodes) 45.522 * * [simplify]: iters left: 3 (58 enodes) 45.539 * * [simplify]: Extracting #0: cost 1 inf + 0 45.539 * * [simplify]: Extracting #1: cost 7 inf + 0 45.539 * * [simplify]: Extracting #2: cost 15 inf + 0 45.539 * * [simplify]: Extracting #3: cost 21 inf + 0 45.540 * * [simplify]: Extracting #4: cost 25 inf + 1 45.540 * * [simplify]: Extracting #5: cost 27 inf + 2 45.540 * * [simplify]: Extracting #6: cost 22 inf + 394 45.540 * * [simplify]: Extracting #7: cost 14 inf + 1857 45.542 * * [simplify]: Extracting #8: cost 6 inf + 4441 45.543 * * [simplify]: Extracting #9: cost 1 inf + 6651 45.545 * * [simplify]: Extracting #10: cost 0 inf + 7109 45.547 * [simplify]: Simplified to (/ (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 45.547 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 45.548 * [simplify]: Simplifying (/ (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 45.548 * * [simplify]: iters left: 6 (12 enodes) 45.554 * * [simplify]: iters left: 5 (40 enodes) 45.561 * * [simplify]: iters left: 4 (42 enodes) 45.567 * * [simplify]: Extracting #0: cost 1 inf + 0 45.567 * * [simplify]: Extracting #1: cost 4 inf + 0 45.567 * * [simplify]: Extracting #2: cost 8 inf + 0 45.567 * * [simplify]: Extracting #3: cost 13 inf + 0 45.567 * * [simplify]: Extracting #4: cost 17 inf + 1 45.567 * * [simplify]: Extracting #5: cost 19 inf + 2 45.567 * * [simplify]: Extracting #6: cost 17 inf + 60 45.567 * * [simplify]: Extracting #7: cost 10 inf + 945 45.568 * * [simplify]: Extracting #8: cost 4 inf + 2413 45.568 * * [simplify]: Extracting #9: cost 2 inf + 3209 45.568 * * [simplify]: Extracting #10: cost 0 inf + 4005 45.569 * [simplify]: Simplified to (/ (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 45.569 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 45.569 * * * * [progress]: [ 132 / 267 ] simplifiying candidate # 45.569 * [simplify]: Simplifying (/ (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 45.570 * * [simplify]: iters left: 6 (13 enodes) 45.573 * * [simplify]: iters left: 5 (45 enodes) 45.579 * * [simplify]: iters left: 4 (51 enodes) 45.587 * * [simplify]: iters left: 3 (54 enodes) 45.603 * * [simplify]: Extracting #0: cost 1 inf + 0 45.603 * * [simplify]: Extracting #1: cost 7 inf + 0 45.603 * * [simplify]: Extracting #2: cost 14 inf + 0 45.603 * * [simplify]: Extracting #3: cost 19 inf + 0 45.603 * * [simplify]: Extracting #4: cost 23 inf + 1 45.603 * * [simplify]: Extracting #5: cost 25 inf + 2 45.603 * * [simplify]: Extracting #6: cost 21 inf + 296 45.604 * * [simplify]: Extracting #7: cost 12 inf + 1937 45.605 * * [simplify]: Extracting #8: cost 1 inf + 5575 45.607 * * [simplify]: Extracting #9: cost 0 inf + 6033 45.609 * [simplify]: Simplified to (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (/ (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 45.609 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (/ (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 45.609 * [simplify]: Simplifying (/ (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 45.609 * * [simplify]: iters left: 6 (12 enodes) 45.615 * * [simplify]: iters left: 5 (40 enodes) 45.627 * * [simplify]: iters left: 4 (42 enodes) 45.638 * * [simplify]: Extracting #0: cost 1 inf + 0 45.638 * * [simplify]: Extracting #1: cost 4 inf + 0 45.639 * * [simplify]: Extracting #2: cost 8 inf + 0 45.639 * * [simplify]: Extracting #3: cost 13 inf + 0 45.639 * * [simplify]: Extracting #4: cost 17 inf + 1 45.639 * * [simplify]: Extracting #5: cost 19 inf + 2 45.639 * * [simplify]: Extracting #6: cost 17 inf + 60 45.639 * * [simplify]: Extracting #7: cost 10 inf + 945 45.640 * * [simplify]: Extracting #8: cost 4 inf + 2333 45.640 * * [simplify]: Extracting #9: cost 2 inf + 3049 45.640 * * [simplify]: Extracting #10: cost 0 inf + 3765 45.641 * [simplify]: Simplified to (/ (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 45.641 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 45.641 * * * * [progress]: [ 133 / 267 ] simplifiying candidate # 45.641 * [simplify]: Simplifying (/ (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1)) 45.642 * * [simplify]: iters left: 6 (10 enodes) 45.645 * * [simplify]: iters left: 5 (35 enodes) 45.650 * * [simplify]: iters left: 4 (41 enodes) 45.658 * * [simplify]: iters left: 3 (45 enodes) 45.665 * * [simplify]: iters left: 2 (46 enodes) 45.671 * * [simplify]: Extracting #0: cost 1 inf + 0 45.671 * * [simplify]: Extracting #1: cost 5 inf + 0 45.671 * * [simplify]: Extracting #2: cost 7 inf + 1 45.671 * * [simplify]: Extracting #3: cost 10 inf + 1 45.671 * * [simplify]: Extracting #4: cost 11 inf + 2 45.671 * * [simplify]: Extracting #5: cost 13 inf + 2 45.671 * * [simplify]: Extracting #6: cost 11 inf + 60 45.671 * * [simplify]: Extracting #7: cost 6 inf + 589 45.671 * * [simplify]: Extracting #8: cost 0 inf + 2057 45.672 * [simplify]: Simplified to (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 45.672 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 45.672 * [simplify]: Simplifying (/ (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 45.672 * * [simplify]: iters left: 6 (11 enodes) 45.675 * * [simplify]: iters left: 5 (37 enodes) 45.680 * * [simplify]: iters left: 4 (39 enodes) 45.688 * * [simplify]: Extracting #0: cost 1 inf + 0 45.688 * * [simplify]: Extracting #1: cost 4 inf + 0 45.688 * * [simplify]: Extracting #2: cost 8 inf + 0 45.688 * * [simplify]: Extracting #3: cost 14 inf + 0 45.688 * * [simplify]: Extracting #4: cost 15 inf + 2 45.688 * * [simplify]: Extracting #5: cost 17 inf + 2 45.688 * * [simplify]: Extracting #6: cost 15 inf + 60 45.688 * * [simplify]: Extracting #7: cost 11 inf + 531 45.689 * * [simplify]: Extracting #8: cost 3 inf + 2075 45.690 * * [simplify]: Extracting #9: cost 0 inf + 3089 45.691 * [simplify]: Simplified to (/ (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 45.691 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1)) (/ (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))))) 45.691 * * * * [progress]: [ 134 / 267 ] simplifiying candidate # 45.691 * [simplify]: Simplifying (/ (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt 1))) 45.692 * * [simplify]: iters left: 6 (11 enodes) 45.698 * * [simplify]: iters left: 5 (38 enodes) 45.709 * * [simplify]: iters left: 4 (44 enodes) 45.722 * * [simplify]: iters left: 3 (48 enodes) 45.733 * * [simplify]: iters left: 2 (49 enodes) 45.745 * * [simplify]: Extracting #0: cost 1 inf + 0 45.745 * * [simplify]: Extracting #1: cost 5 inf + 0 45.745 * * [simplify]: Extracting #2: cost 7 inf + 1 45.745 * * [simplify]: Extracting #3: cost 10 inf + 1 45.745 * * [simplify]: Extracting #4: cost 11 inf + 2 45.746 * * [simplify]: Extracting #5: cost 13 inf + 2 45.746 * * [simplify]: Extracting #6: cost 11 inf + 60 45.746 * * [simplify]: Extracting #7: cost 7 inf + 451 45.746 * * [simplify]: Extracting #8: cost 2 inf + 1541 45.747 * * [simplify]: Extracting #9: cost 0 inf + 2057 45.748 * [simplify]: Simplified to (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 45.748 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 45.748 * [simplify]: Simplifying (/ (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 45.748 * * [simplify]: iters left: 6 (12 enodes) 45.756 * * [simplify]: iters left: 5 (40 enodes) 45.764 * * [simplify]: iters left: 4 (42 enodes) 45.770 * * [simplify]: Extracting #0: cost 1 inf + 0 45.770 * * [simplify]: Extracting #1: cost 4 inf + 0 45.770 * * [simplify]: Extracting #2: cost 8 inf + 0 45.770 * * [simplify]: Extracting #3: cost 14 inf + 0 45.770 * * [simplify]: Extracting #4: cost 15 inf + 2 45.770 * * [simplify]: Extracting #5: cost 17 inf + 2 45.770 * * [simplify]: Extracting #6: cost 15 inf + 60 45.770 * * [simplify]: Extracting #7: cost 10 inf + 589 45.771 * * [simplify]: Extracting #8: cost 4 inf + 1817 45.773 * * [simplify]: Extracting #9: cost 2 inf + 2453 45.774 * * [simplify]: Extracting #10: cost 0 inf + 3089 45.774 * [simplify]: Simplified to (/ (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 45.774 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt 1))) (/ (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 45.774 * * * * [progress]: [ 135 / 267 ] simplifiying candidate # 45.775 * [simplify]: Simplifying (/ (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt 1))) 45.775 * * [simplify]: iters left: 6 (11 enodes) 45.779 * * [simplify]: iters left: 5 (38 enodes) 45.785 * * [simplify]: iters left: 4 (44 enodes) 45.792 * * [simplify]: iters left: 3 (48 enodes) 45.798 * * [simplify]: iters left: 2 (49 enodes) 45.805 * * [simplify]: Extracting #0: cost 1 inf + 0 45.805 * * [simplify]: Extracting #1: cost 5 inf + 0 45.805 * * [simplify]: Extracting #2: cost 7 inf + 1 45.805 * * [simplify]: Extracting #3: cost 10 inf + 1 45.805 * * [simplify]: Extracting #4: cost 11 inf + 2 45.805 * * [simplify]: Extracting #5: cost 13 inf + 2 45.805 * * [simplify]: Extracting #6: cost 11 inf + 60 45.805 * * [simplify]: Extracting #7: cost 7 inf + 451 45.805 * * [simplify]: Extracting #8: cost 2 inf + 1541 45.806 * * [simplify]: Extracting #9: cost 0 inf + 2057 45.806 * [simplify]: Simplified to (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 45.806 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 45.806 * [simplify]: Simplifying (/ (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 45.806 * * [simplify]: iters left: 6 (12 enodes) 45.810 * * [simplify]: iters left: 5 (40 enodes) 45.816 * * [simplify]: iters left: 4 (42 enodes) 45.823 * * [simplify]: Extracting #0: cost 1 inf + 0 45.823 * * [simplify]: Extracting #1: cost 4 inf + 0 45.823 * * [simplify]: Extracting #2: cost 8 inf + 0 45.823 * * [simplify]: Extracting #3: cost 14 inf + 0 45.823 * * [simplify]: Extracting #4: cost 15 inf + 2 45.823 * * [simplify]: Extracting #5: cost 17 inf + 2 45.823 * * [simplify]: Extracting #6: cost 15 inf + 60 45.823 * * [simplify]: Extracting #7: cost 10 inf + 589 45.823 * * [simplify]: Extracting #8: cost 4 inf + 1817 45.824 * * [simplify]: Extracting #9: cost 2 inf + 2453 45.825 * * [simplify]: Extracting #10: cost 0 inf + 3089 45.826 * [simplify]: Simplified to (/ (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 45.826 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt 1))) (/ (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 45.826 * * * * [progress]: [ 136 / 267 ] simplifiying candidate # 45.827 * [simplify]: Simplifying (/ (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1)) 45.827 * * [simplify]: iters left: 6 (10 enodes) 45.833 * * [simplify]: iters left: 5 (35 enodes) 45.843 * * [simplify]: iters left: 4 (41 enodes) 45.855 * * [simplify]: iters left: 3 (45 enodes) 45.866 * * [simplify]: iters left: 2 (46 enodes) 45.872 * * [simplify]: Extracting #0: cost 1 inf + 0 45.872 * * [simplify]: Extracting #1: cost 5 inf + 0 45.872 * * [simplify]: Extracting #2: cost 7 inf + 1 45.872 * * [simplify]: Extracting #3: cost 10 inf + 1 45.872 * * [simplify]: Extracting #4: cost 11 inf + 2 45.872 * * [simplify]: Extracting #5: cost 13 inf + 2 45.872 * * [simplify]: Extracting #6: cost 11 inf + 60 45.872 * * [simplify]: Extracting #7: cost 6 inf + 589 45.872 * * [simplify]: Extracting #8: cost 0 inf + 2057 45.873 * [simplify]: Simplified to (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 45.873 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 45.873 * [simplify]: Simplifying (/ (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 45.873 * * [simplify]: iters left: 6 (11 enodes) 45.878 * * [simplify]: iters left: 5 (37 enodes) 45.884 * * [simplify]: iters left: 4 (39 enodes) 45.890 * * [simplify]: Extracting #0: cost 1 inf + 0 45.890 * * [simplify]: Extracting #1: cost 4 inf + 0 45.890 * * [simplify]: Extracting #2: cost 8 inf + 0 45.890 * * [simplify]: Extracting #3: cost 14 inf + 0 45.890 * * [simplify]: Extracting #4: cost 15 inf + 2 45.890 * * [simplify]: Extracting #5: cost 17 inf + 2 45.890 * * [simplify]: Extracting #6: cost 15 inf + 60 45.890 * * [simplify]: Extracting #7: cost 11 inf + 531 45.891 * * [simplify]: Extracting #8: cost 3 inf + 2075 45.891 * * [simplify]: Extracting #9: cost 0 inf + 3089 45.892 * [simplify]: Simplified to (/ (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 45.892 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1)) (/ (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))))) 45.892 * * * * [progress]: [ 137 / 267 ] simplifiying candidate # 45.892 * [simplify]: Simplifying (/ (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 45.892 * * [simplify]: iters left: 6 (13 enodes) 45.895 * * [simplify]: iters left: 5 (45 enodes) 45.902 * * [simplify]: iters left: 4 (51 enodes) 45.910 * * [simplify]: iters left: 3 (54 enodes) 45.918 * * [simplify]: Extracting #0: cost 1 inf + 0 45.918 * * [simplify]: Extracting #1: cost 7 inf + 0 45.918 * * [simplify]: Extracting #2: cost 14 inf + 0 45.918 * * [simplify]: Extracting #3: cost 19 inf + 0 45.919 * * [simplify]: Extracting #4: cost 23 inf + 1 45.919 * * [simplify]: Extracting #5: cost 25 inf + 2 45.919 * * [simplify]: Extracting #6: cost 21 inf + 296 45.919 * * [simplify]: Extracting #7: cost 12 inf + 1937 45.920 * * [simplify]: Extracting #8: cost 1 inf + 5575 45.921 * * [simplify]: Extracting #9: cost 0 inf + 6033 45.922 * [simplify]: Simplified to (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (/ (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 45.922 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (/ (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (/ (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 45.922 * [simplify]: Simplifying (/ (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 45.922 * * [simplify]: iters left: 6 (12 enodes) 45.925 * * [simplify]: iters left: 5 (40 enodes) 45.934 * * [simplify]: iters left: 4 (42 enodes) 45.946 * * [simplify]: Extracting #0: cost 1 inf + 0 45.946 * * [simplify]: Extracting #1: cost 4 inf + 0 45.946 * * [simplify]: Extracting #2: cost 8 inf + 0 45.946 * * [simplify]: Extracting #3: cost 13 inf + 0 45.946 * * [simplify]: Extracting #4: cost 17 inf + 1 45.946 * * [simplify]: Extracting #5: cost 19 inf + 2 45.946 * * [simplify]: Extracting #6: cost 17 inf + 60 45.947 * * [simplify]: Extracting #7: cost 10 inf + 945 45.947 * * [simplify]: Extracting #8: cost 4 inf + 2333 45.948 * * [simplify]: Extracting #9: cost 2 inf + 3049 45.949 * * [simplify]: Extracting #10: cost 0 inf + 3765 45.950 * [simplify]: Simplified to (/ (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))) 45.950 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)))))))) 45.951 * * * * [progress]: [ 138 / 267 ] simplifiying candidate # 45.951 * [simplify]: Simplifying (/ (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1) 45.951 * * [simplify]: iters left: 6 (9 enodes) 45.956 * * [simplify]: iters left: 5 (30 enodes) 45.961 * * [simplify]: iters left: 4 (40 enodes) 45.967 * * [simplify]: iters left: 3 (41 enodes) 45.973 * * [simplify]: Extracting #0: cost 1 inf + 0 45.973 * * [simplify]: Extracting #1: cost 5 inf + 0 45.973 * * [simplify]: Extracting #2: cost 7 inf + 1 45.973 * * [simplify]: Extracting #3: cost 10 inf + 1 45.973 * * [simplify]: Extracting #4: cost 11 inf + 2 45.973 * * [simplify]: Extracting #5: cost 13 inf + 2 45.973 * * [simplify]: Extracting #6: cost 11 inf + 60 45.974 * * [simplify]: Extracting #7: cost 8 inf + 353 45.976 * * [simplify]: Extracting #8: cost 1 inf + 1799 45.976 * * [simplify]: Extracting #9: cost 0 inf + 2057 45.977 * [simplify]: Simplified to (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 45.977 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 45.977 * [simplify]: Simplifying (/ (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 45.977 * * [simplify]: iters left: 6 (11 enodes) 45.980 * * [simplify]: iters left: 5 (37 enodes) 45.985 * * [simplify]: iters left: 4 (39 enodes) 45.994 * * [simplify]: Extracting #0: cost 1 inf + 0 45.994 * * [simplify]: Extracting #1: cost 4 inf + 0 45.994 * * [simplify]: Extracting #2: cost 8 inf + 0 45.994 * * [simplify]: Extracting #3: cost 14 inf + 0 45.994 * * [simplify]: Extracting #4: cost 15 inf + 2 45.994 * * [simplify]: Extracting #5: cost 17 inf + 2 45.995 * * [simplify]: Extracting #6: cost 15 inf + 60 45.995 * * [simplify]: Extracting #7: cost 11 inf + 531 45.995 * * [simplify]: Extracting #8: cost 3 inf + 2075 45.996 * * [simplify]: Extracting #9: cost 0 inf + 3089 45.997 * [simplify]: Simplified to (/ (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 45.997 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1) (/ (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))))) 45.997 * * * * [progress]: [ 139 / 267 ] simplifiying candidate # 45.998 * [simplify]: Simplifying (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 45.998 * * [simplify]: iters left: 6 (12 enodes) 46.004 * * [simplify]: iters left: 5 (42 enodes) 46.016 * * [simplify]: iters left: 4 (46 enodes) 46.029 * * [simplify]: Extracting #0: cost 1 inf + 0 46.029 * * [simplify]: Extracting #1: cost 6 inf + 0 46.029 * * [simplify]: Extracting #2: cost 12 inf + 0 46.029 * * [simplify]: Extracting #3: cost 17 inf + 0 46.029 * * [simplify]: Extracting #4: cost 20 inf + 1 46.029 * * [simplify]: Extracting #5: cost 21 inf + 2 46.029 * * [simplify]: Extracting #6: cost 18 inf + 117 46.029 * * [simplify]: Extracting #7: cost 14 inf + 589 46.030 * * [simplify]: Extracting #8: cost 10 inf + 1381 46.030 * * [simplify]: Extracting #9: cost 7 inf + 2235 46.030 * * [simplify]: Extracting #10: cost 2 inf + 4125 46.031 * * [simplify]: Extracting #11: cost 0 inf + 4921 46.032 * [simplify]: Simplified to (/ (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.032 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 46.032 * [simplify]: Simplifying (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 46.032 * * [simplify]: iters left: 6 (11 enodes) 46.035 * * [simplify]: iters left: 5 (37 enodes) 46.041 * * [simplify]: iters left: 4 (39 enodes) 46.047 * * [simplify]: Extracting #0: cost 1 inf + 0 46.047 * * [simplify]: Extracting #1: cost 4 inf + 0 46.047 * * [simplify]: Extracting #2: cost 8 inf + 0 46.047 * * [simplify]: Extracting #3: cost 13 inf + 0 46.047 * * [simplify]: Extracting #4: cost 16 inf + 1 46.047 * * [simplify]: Extracting #5: cost 17 inf + 2 46.047 * * [simplify]: Extracting #6: cost 15 inf + 60 46.047 * * [simplify]: Extracting #7: cost 12 inf + 353 46.048 * * [simplify]: Extracting #8: cost 7 inf + 1163 46.048 * * [simplify]: Extracting #9: cost 3 inf + 2235 46.048 * * [simplify]: Extracting #10: cost 0 inf + 3329 46.049 * [simplify]: Simplified to (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.049 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 46.049 * * * * [progress]: [ 140 / 267 ] simplifiying candidate # 46.049 * [simplify]: Simplifying (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 46.049 * * [simplify]: iters left: 6 (12 enodes) 46.053 * * [simplify]: iters left: 5 (41 enodes) 46.059 * * [simplify]: iters left: 4 (43 enodes) 46.070 * * [simplify]: Extracting #0: cost 1 inf + 0 46.070 * * [simplify]: Extracting #1: cost 4 inf + 0 46.070 * * [simplify]: Extracting #2: cost 9 inf + 0 46.070 * * [simplify]: Extracting #3: cost 15 inf + 0 46.071 * * [simplify]: Extracting #4: cost 18 inf + 1 46.071 * * [simplify]: Extracting #5: cost 19 inf + 2 46.071 * * [simplify]: Extracting #6: cost 17 inf + 60 46.071 * * [simplify]: Extracting #7: cost 13 inf + 451 46.071 * * [simplify]: Extracting #8: cost 9 inf + 1163 46.072 * * [simplify]: Extracting #9: cost 2 inf + 3369 46.073 * * [simplify]: Extracting #10: cost 0 inf + 4085 46.074 * [simplify]: Simplified to (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.074 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 46.075 * [simplify]: Simplifying (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 46.075 * * [simplify]: iters left: 6 (11 enodes) 46.081 * * [simplify]: iters left: 5 (37 enodes) 46.092 * * [simplify]: iters left: 4 (39 enodes) 46.106 * * [simplify]: Extracting #0: cost 1 inf + 0 46.106 * * [simplify]: Extracting #1: cost 4 inf + 0 46.106 * * [simplify]: Extracting #2: cost 8 inf + 0 46.106 * * [simplify]: Extracting #3: cost 13 inf + 0 46.106 * * [simplify]: Extracting #4: cost 16 inf + 1 46.106 * * [simplify]: Extracting #5: cost 17 inf + 2 46.106 * * [simplify]: Extracting #6: cost 15 inf + 60 46.107 * * [simplify]: Extracting #7: cost 12 inf + 353 46.107 * * [simplify]: Extracting #8: cost 7 inf + 1163 46.107 * * [simplify]: Extracting #9: cost 3 inf + 2315 46.108 * * [simplify]: Extracting #10: cost 0 inf + 3409 46.108 * [simplify]: Simplified to (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.108 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 46.109 * * * * [progress]: [ 141 / 267 ] simplifiying candidate # 46.109 * [simplify]: Simplifying (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 46.109 * * [simplify]: iters left: 6 (11 enodes) 46.112 * * [simplify]: iters left: 5 (37 enodes) 46.117 * * [simplify]: iters left: 4 (39 enodes) 46.123 * * [simplify]: Extracting #0: cost 1 inf + 0 46.123 * * [simplify]: Extracting #1: cost 4 inf + 0 46.123 * * [simplify]: Extracting #2: cost 8 inf + 0 46.123 * * [simplify]: Extracting #3: cost 13 inf + 0 46.123 * * [simplify]: Extracting #4: cost 16 inf + 1 46.123 * * [simplify]: Extracting #5: cost 17 inf + 2 46.123 * * [simplify]: Extracting #6: cost 15 inf + 60 46.124 * * [simplify]: Extracting #7: cost 12 inf + 353 46.124 * * [simplify]: Extracting #8: cost 7 inf + 1163 46.124 * * [simplify]: Extracting #9: cost 3 inf + 2195 46.124 * * [simplify]: Extracting #10: cost 0 inf + 3169 46.125 * [simplify]: Simplified to (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.125 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 46.125 * [simplify]: Simplifying (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 46.125 * * [simplify]: iters left: 6 (11 enodes) 46.128 * * [simplify]: iters left: 5 (37 enodes) 46.134 * * [simplify]: iters left: 4 (39 enodes) 46.141 * * [simplify]: Extracting #0: cost 1 inf + 0 46.141 * * [simplify]: Extracting #1: cost 4 inf + 0 46.141 * * [simplify]: Extracting #2: cost 8 inf + 0 46.142 * * [simplify]: Extracting #3: cost 13 inf + 0 46.142 * * [simplify]: Extracting #4: cost 16 inf + 1 46.142 * * [simplify]: Extracting #5: cost 17 inf + 2 46.142 * * [simplify]: Extracting #6: cost 15 inf + 60 46.142 * * [simplify]: Extracting #7: cost 12 inf + 353 46.142 * * [simplify]: Extracting #8: cost 7 inf + 1163 46.143 * * [simplify]: Extracting #9: cost 3 inf + 2195 46.144 * * [simplify]: Extracting #10: cost 0 inf + 3169 46.145 * [simplify]: Simplified to (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.145 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 46.145 * * * * [progress]: [ 142 / 267 ] simplifiying candidate # 46.146 * [simplify]: Simplifying (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)) 46.146 * * [simplify]: iters left: 6 (9 enodes) 46.151 * * [simplify]: iters left: 5 (30 enodes) 46.160 * * [simplify]: iters left: 4 (32 enodes) 46.169 * * [simplify]: iters left: 3 (34 enodes) 46.173 * * [simplify]: Extracting #0: cost 1 inf + 0 46.173 * * [simplify]: Extracting #1: cost 4 inf + 0 46.173 * * [simplify]: Extracting #2: cost 6 inf + 1 46.173 * * [simplify]: Extracting #3: cost 7 inf + 2 46.174 * * [simplify]: Extracting #4: cost 9 inf + 2 46.174 * * [simplify]: Extracting #5: cost 8 inf + 3 46.174 * * [simplify]: Extracting #6: cost 6 inf + 117 46.174 * * [simplify]: Extracting #7: cost 2 inf + 709 46.174 * * [simplify]: Extracting #8: cost 0 inf + 945 46.174 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 46.174 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 46.174 * [simplify]: Simplifying (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 46.175 * * [simplify]: iters left: 6 (10 enodes) 46.177 * * [simplify]: iters left: 5 (34 enodes) 46.182 * * [simplify]: iters left: 4 (36 enodes) 46.188 * * [simplify]: Extracting #0: cost 1 inf + 0 46.188 * * [simplify]: Extracting #1: cost 4 inf + 0 46.188 * * [simplify]: Extracting #2: cost 8 inf + 0 46.188 * * [simplify]: Extracting #3: cost 13 inf + 0 46.188 * * [simplify]: Extracting #4: cost 13 inf + 2 46.188 * * [simplify]: Extracting #5: cost 15 inf + 2 46.188 * * [simplify]: Extracting #6: cost 13 inf + 60 46.188 * * [simplify]: Extracting #7: cost 9 inf + 451 46.188 * * [simplify]: Extracting #8: cost 4 inf + 1381 46.189 * * [simplify]: Extracting #9: cost 0 inf + 2493 46.189 * [simplify]: Simplified to (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 46.189 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 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)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 46.189 * * * * [progress]: [ 143 / 267 ] simplifiying candidate # 46.189 * [simplify]: Simplifying (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt 1))) 46.189 * * [simplify]: iters left: 6 (10 enodes) 46.194 * * [simplify]: iters left: 5 (33 enodes) 46.202 * * [simplify]: iters left: 4 (35 enodes) 46.207 * * [simplify]: iters left: 3 (37 enodes) 46.212 * * [simplify]: Extracting #0: cost 1 inf + 0 46.212 * * [simplify]: Extracting #1: cost 4 inf + 0 46.212 * * [simplify]: Extracting #2: cost 6 inf + 1 46.212 * * [simplify]: Extracting #3: cost 7 inf + 2 46.212 * * [simplify]: Extracting #4: cost 9 inf + 2 46.212 * * [simplify]: Extracting #5: cost 8 inf + 3 46.212 * * [simplify]: Extracting #6: cost 5 inf + 215 46.212 * * [simplify]: Extracting #7: cost 1 inf + 807 46.212 * * [simplify]: Extracting #8: cost 0 inf + 945 46.212 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 46.213 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 46.213 * [simplify]: Simplifying (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 46.213 * * [simplify]: iters left: 6 (11 enodes) 46.217 * * [simplify]: iters left: 5 (37 enodes) 46.222 * * [simplify]: iters left: 4 (39 enodes) 46.228 * * [simplify]: Extracting #0: cost 1 inf + 0 46.228 * * [simplify]: Extracting #1: cost 4 inf + 0 46.229 * * [simplify]: Extracting #2: cost 8 inf + 0 46.229 * * [simplify]: Extracting #3: cost 13 inf + 0 46.229 * * [simplify]: Extracting #4: cost 13 inf + 2 46.229 * * [simplify]: Extracting #5: cost 15 inf + 2 46.229 * * [simplify]: Extracting #6: cost 13 inf + 60 46.229 * * [simplify]: Extracting #7: cost 10 inf + 353 46.229 * * [simplify]: Extracting #8: cost 3 inf + 1639 46.229 * * [simplify]: Extracting #9: cost 0 inf + 2493 46.230 * [simplify]: Simplified to (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 46.230 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt 1))) (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 46.230 * * * * [progress]: [ 144 / 267 ] simplifiying candidate # 46.230 * [simplify]: Simplifying (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt 1))) 46.230 * * [simplify]: iters left: 6 (10 enodes) 46.235 * * [simplify]: iters left: 5 (33 enodes) 46.244 * * [simplify]: iters left: 4 (35 enodes) 46.254 * * [simplify]: iters left: 3 (37 enodes) 46.263 * * [simplify]: Extracting #0: cost 1 inf + 0 46.263 * * [simplify]: Extracting #1: cost 4 inf + 0 46.263 * * [simplify]: Extracting #2: cost 6 inf + 1 46.263 * * [simplify]: Extracting #3: cost 7 inf + 2 46.263 * * [simplify]: Extracting #4: cost 9 inf + 2 46.263 * * [simplify]: Extracting #5: cost 8 inf + 3 46.263 * * [simplify]: Extracting #6: cost 5 inf + 215 46.264 * * [simplify]: Extracting #7: cost 1 inf + 807 46.264 * * [simplify]: Extracting #8: cost 0 inf + 945 46.264 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 46.264 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 46.265 * [simplify]: Simplifying (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 46.265 * * [simplify]: iters left: 6 (11 enodes) 46.272 * * [simplify]: iters left: 5 (37 enodes) 46.283 * * [simplify]: iters left: 4 (39 enodes) 46.294 * * [simplify]: Extracting #0: cost 1 inf + 0 46.294 * * [simplify]: Extracting #1: cost 4 inf + 0 46.294 * * [simplify]: Extracting #2: cost 8 inf + 0 46.294 * * [simplify]: Extracting #3: cost 13 inf + 0 46.294 * * [simplify]: Extracting #4: cost 13 inf + 2 46.294 * * [simplify]: Extracting #5: cost 15 inf + 2 46.295 * * [simplify]: Extracting #6: cost 13 inf + 60 46.295 * * [simplify]: Extracting #7: cost 10 inf + 353 46.295 * * [simplify]: Extracting #8: cost 3 inf + 1639 46.296 * * [simplify]: Extracting #9: cost 0 inf + 2493 46.297 * [simplify]: Simplified to (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 46.297 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt 1))) (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 46.297 * * * * [progress]: [ 145 / 267 ] simplifiying candidate # 46.297 * [simplify]: Simplifying (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)) 46.297 * * [simplify]: iters left: 6 (9 enodes) 46.303 * * [simplify]: iters left: 5 (30 enodes) 46.312 * * [simplify]: iters left: 4 (32 enodes) 46.321 * * [simplify]: iters left: 3 (34 enodes) 46.334 * * [simplify]: Extracting #0: cost 1 inf + 0 46.334 * * [simplify]: Extracting #1: cost 4 inf + 0 46.334 * * [simplify]: Extracting #2: cost 6 inf + 1 46.334 * * [simplify]: Extracting #3: cost 7 inf + 2 46.334 * * [simplify]: Extracting #4: cost 9 inf + 2 46.334 * * [simplify]: Extracting #5: cost 8 inf + 3 46.334 * * [simplify]: Extracting #6: cost 6 inf + 117 46.335 * * [simplify]: Extracting #7: cost 2 inf + 709 46.335 * * [simplify]: Extracting #8: cost 0 inf + 945 46.336 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 46.336 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 46.336 * [simplify]: Simplifying (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 46.336 * * [simplify]: iters left: 6 (10 enodes) 46.341 * * [simplify]: iters left: 5 (34 enodes) 46.351 * * [simplify]: iters left: 4 (36 enodes) 46.361 * * [simplify]: Extracting #0: cost 1 inf + 0 46.361 * * [simplify]: Extracting #1: cost 4 inf + 0 46.361 * * [simplify]: Extracting #2: cost 8 inf + 0 46.361 * * [simplify]: Extracting #3: cost 13 inf + 0 46.361 * * [simplify]: Extracting #4: cost 13 inf + 2 46.361 * * [simplify]: Extracting #5: cost 15 inf + 2 46.362 * * [simplify]: Extracting #6: cost 13 inf + 60 46.362 * * [simplify]: Extracting #7: cost 9 inf + 451 46.362 * * [simplify]: Extracting #8: cost 4 inf + 1381 46.363 * * [simplify]: Extracting #9: cost 0 inf + 2493 46.364 * [simplify]: Simplified to (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 46.364 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 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)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 46.364 * * * * [progress]: [ 146 / 267 ] simplifiying candidate # 46.364 * [simplify]: Simplifying (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 46.364 * * [simplify]: iters left: 6 (11 enodes) 46.370 * * [simplify]: iters left: 5 (37 enodes) 46.381 * * [simplify]: iters left: 4 (39 enodes) 46.392 * * [simplify]: Extracting #0: cost 1 inf + 0 46.392 * * [simplify]: Extracting #1: cost 4 inf + 0 46.392 * * [simplify]: Extracting #2: cost 8 inf + 0 46.392 * * [simplify]: Extracting #3: cost 13 inf + 0 46.392 * * [simplify]: Extracting #4: cost 16 inf + 1 46.392 * * [simplify]: Extracting #5: cost 17 inf + 2 46.392 * * [simplify]: Extracting #6: cost 15 inf + 60 46.392 * * [simplify]: Extracting #7: cost 12 inf + 353 46.393 * * [simplify]: Extracting #8: cost 7 inf + 1163 46.393 * * [simplify]: Extracting #9: cost 3 inf + 2195 46.394 * * [simplify]: Extracting #10: cost 0 inf + 3169 46.395 * [simplify]: Simplified to (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.395 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 46.396 * [simplify]: Simplifying (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 46.396 * * [simplify]: iters left: 6 (11 enodes) 46.402 * * [simplify]: iters left: 5 (37 enodes) 46.412 * * [simplify]: iters left: 4 (39 enodes) 46.419 * * [simplify]: Extracting #0: cost 1 inf + 0 46.419 * * [simplify]: Extracting #1: cost 4 inf + 0 46.419 * * [simplify]: Extracting #2: cost 8 inf + 0 46.419 * * [simplify]: Extracting #3: cost 13 inf + 0 46.419 * * [simplify]: Extracting #4: cost 16 inf + 1 46.419 * * [simplify]: Extracting #5: cost 17 inf + 2 46.419 * * [simplify]: Extracting #6: cost 15 inf + 60 46.419 * * [simplify]: Extracting #7: cost 12 inf + 353 46.419 * * [simplify]: Extracting #8: cost 7 inf + 1163 46.420 * * [simplify]: Extracting #9: cost 3 inf + 2195 46.420 * * [simplify]: Extracting #10: cost 0 inf + 3169 46.421 * [simplify]: Simplified to (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.421 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 46.421 * * * * [progress]: [ 147 / 267 ] simplifiying candidate # 46.421 * [simplify]: Simplifying (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) 46.421 * * [simplify]: iters left: 6 (8 enodes) 46.423 * * [simplify]: iters left: 5 (25 enodes) 46.427 * * [simplify]: iters left: 4 (27 enodes) 46.431 * * [simplify]: Extracting #0: cost 1 inf + 0 46.431 * * [simplify]: Extracting #1: cost 4 inf + 0 46.431 * * [simplify]: Extracting #2: cost 6 inf + 1 46.431 * * [simplify]: Extracting #3: cost 7 inf + 2 46.431 * * [simplify]: Extracting #4: cost 9 inf + 2 46.431 * * [simplify]: Extracting #5: cost 8 inf + 3 46.431 * * [simplify]: Extracting #6: cost 5 inf + 215 46.432 * * [simplify]: Extracting #7: cost 2 inf + 629 46.432 * * [simplify]: Extracting #8: cost 0 inf + 945 46.432 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 46.432 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 46.432 * [simplify]: Simplifying (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 46.432 * * [simplify]: iters left: 6 (10 enodes) 46.435 * * [simplify]: iters left: 5 (34 enodes) 46.440 * * [simplify]: iters left: 4 (36 enodes) 46.447 * * [simplify]: Extracting #0: cost 1 inf + 0 46.447 * * [simplify]: Extracting #1: cost 4 inf + 0 46.447 * * [simplify]: Extracting #2: cost 8 inf + 0 46.448 * * [simplify]: Extracting #3: cost 13 inf + 0 46.448 * * [simplify]: Extracting #4: cost 13 inf + 2 46.448 * * [simplify]: Extracting #5: cost 15 inf + 2 46.448 * * [simplify]: Extracting #6: cost 13 inf + 60 46.448 * * [simplify]: Extracting #7: cost 9 inf + 451 46.448 * * [simplify]: Extracting #8: cost 4 inf + 1381 46.449 * * [simplify]: Extracting #9: cost 0 inf + 2493 46.450 * [simplify]: Simplified to (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 46.450 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 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)))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 46.450 * * * * [progress]: [ 148 / 267 ] simplifiying candidate # 46.451 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 46.451 * * [simplify]: iters left: 6 (12 enodes) 46.457 * * [simplify]: iters left: 5 (42 enodes) 46.468 * * [simplify]: iters left: 4 (46 enodes) 46.475 * * [simplify]: Extracting #0: cost 1 inf + 0 46.475 * * [simplify]: Extracting #1: cost 6 inf + 0 46.475 * * [simplify]: Extracting #2: cost 9 inf + 1 46.475 * * [simplify]: Extracting #3: cost 11 inf + 1 46.475 * * [simplify]: Extracting #4: cost 13 inf + 1 46.475 * * [simplify]: Extracting #5: cost 15 inf + 1 46.475 * * [simplify]: Extracting #6: cost 18 inf + 1 46.475 * * [simplify]: Extracting #7: cost 19 inf + 2 46.475 * * [simplify]: Extracting #8: cost 21 inf + 2 46.475 * * [simplify]: Extracting #9: cost 18 inf + 117 46.475 * * [simplify]: Extracting #10: cost 15 inf + 451 46.476 * * [simplify]: Extracting #11: cost 10 inf + 1381 46.476 * * [simplify]: Extracting #12: cost 6 inf + 2573 46.476 * * [simplify]: Extracting #13: cost 3 inf + 3747 46.477 * * [simplify]: Extracting #14: cost 0 inf + 4921 46.478 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.478 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 46.478 * [simplify]: Simplifying (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 46.478 * * [simplify]: iters left: 6 (11 enodes) 46.481 * * [simplify]: iters left: 5 (37 enodes) 46.487 * * [simplify]: iters left: 4 (39 enodes) 46.493 * * [simplify]: Extracting #0: cost 1 inf + 0 46.493 * * [simplify]: Extracting #1: cost 4 inf + 0 46.493 * * [simplify]: Extracting #2: cost 9 inf + 0 46.493 * * [simplify]: Extracting #3: cost 12 inf + 1 46.493 * * [simplify]: Extracting #4: cost 17 inf + 1 46.494 * * [simplify]: Extracting #5: cost 15 inf + 60 46.494 * * [simplify]: Extracting #6: cost 12 inf + 353 46.494 * * [simplify]: Extracting #7: cost 7 inf + 1163 46.495 * * [simplify]: Extracting #8: cost 3 inf + 2235 46.496 * * [simplify]: Extracting #9: cost 0 inf + 3329 46.497 * [simplify]: Simplified to (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.497 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 46.497 * * * * [progress]: [ 149 / 267 ] simplifiying candidate # 46.497 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 46.497 * * [simplify]: iters left: 6 (12 enodes) 46.503 * * [simplify]: iters left: 5 (41 enodes) 46.516 * * [simplify]: iters left: 4 (43 enodes) 46.528 * * [simplify]: Extracting #0: cost 1 inf + 0 46.528 * * [simplify]: Extracting #1: cost 4 inf + 0 46.528 * * [simplify]: Extracting #2: cost 6 inf + 1 46.528 * * [simplify]: Extracting #3: cost 9 inf + 1 46.528 * * [simplify]: Extracting #4: cost 11 inf + 1 46.528 * * [simplify]: Extracting #5: cost 13 inf + 1 46.529 * * [simplify]: Extracting #6: cost 16 inf + 1 46.529 * * [simplify]: Extracting #7: cost 17 inf + 2 46.529 * * [simplify]: Extracting #8: cost 19 inf + 2 46.529 * * [simplify]: Extracting #9: cost 17 inf + 60 46.529 * * [simplify]: Extracting #10: cost 13 inf + 451 46.529 * * [simplify]: Extracting #11: cost 9 inf + 1163 46.530 * * [simplify]: Extracting #12: cost 2 inf + 3369 46.531 * * [simplify]: Extracting #13: cost 0 inf + 4085 46.533 * [simplify]: Simplified to (/ 1 (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.533 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 46.533 * [simplify]: Simplifying (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 46.533 * * [simplify]: iters left: 6 (11 enodes) 46.539 * * [simplify]: iters left: 5 (37 enodes) 46.551 * * [simplify]: iters left: 4 (39 enodes) 46.562 * * [simplify]: Extracting #0: cost 1 inf + 0 46.562 * * [simplify]: Extracting #1: cost 4 inf + 0 46.562 * * [simplify]: Extracting #2: cost 9 inf + 0 46.562 * * [simplify]: Extracting #3: cost 12 inf + 1 46.562 * * [simplify]: Extracting #4: cost 17 inf + 1 46.563 * * [simplify]: Extracting #5: cost 15 inf + 60 46.563 * * [simplify]: Extracting #6: cost 12 inf + 353 46.563 * * [simplify]: Extracting #7: cost 7 inf + 1163 46.564 * * [simplify]: Extracting #8: cost 3 inf + 2315 46.565 * * [simplify]: Extracting #9: cost 0 inf + 3409 46.566 * [simplify]: Simplified to (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.566 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 46.566 * * * * [progress]: [ 150 / 267 ] simplifiying candidate # 46.566 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 46.566 * * [simplify]: iters left: 6 (11 enodes) 46.572 * * [simplify]: iters left: 5 (37 enodes) 46.583 * * [simplify]: iters left: 4 (39 enodes) 46.594 * * [simplify]: Extracting #0: cost 1 inf + 0 46.594 * * [simplify]: Extracting #1: cost 4 inf + 0 46.594 * * [simplify]: Extracting #2: cost 5 inf + 1 46.594 * * [simplify]: Extracting #3: cost 7 inf + 1 46.594 * * [simplify]: Extracting #4: cost 9 inf + 1 46.597 * * [simplify]: Extracting #5: cost 11 inf + 1 46.597 * * [simplify]: Extracting #6: cost 14 inf + 1 46.597 * * [simplify]: Extracting #7: cost 15 inf + 2 46.597 * * [simplify]: Extracting #8: cost 17 inf + 2 46.597 * * [simplify]: Extracting #9: cost 15 inf + 60 46.598 * * [simplify]: Extracting #10: cost 12 inf + 353 46.598 * * [simplify]: Extracting #11: cost 7 inf + 1163 46.599 * * [simplify]: Extracting #12: cost 3 inf + 2195 46.600 * * [simplify]: Extracting #13: cost 0 inf + 3169 46.601 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.601 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 46.601 * [simplify]: Simplifying (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 46.601 * * [simplify]: iters left: 6 (11 enodes) 46.608 * * [simplify]: iters left: 5 (37 enodes) 46.618 * * [simplify]: iters left: 4 (39 enodes) 46.624 * * [simplify]: Extracting #0: cost 1 inf + 0 46.624 * * [simplify]: Extracting #1: cost 4 inf + 0 46.624 * * [simplify]: Extracting #2: cost 9 inf + 0 46.624 * * [simplify]: Extracting #3: cost 12 inf + 1 46.624 * * [simplify]: Extracting #4: cost 17 inf + 1 46.624 * * [simplify]: Extracting #5: cost 15 inf + 60 46.624 * * [simplify]: Extracting #6: cost 12 inf + 353 46.625 * * [simplify]: Extracting #7: cost 7 inf + 1163 46.625 * * [simplify]: Extracting #8: cost 3 inf + 2195 46.625 * * [simplify]: Extracting #9: cost 0 inf + 3169 46.626 * [simplify]: Simplified to (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.626 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 46.626 * * * * [progress]: [ 151 / 267 ] simplifiying candidate # 46.626 * [simplify]: Simplifying (/ 1 (sqrt 1)) 46.626 * * [simplify]: iters left: 3 (3 enodes) 46.630 * * [simplify]: iters left: 2 (11 enodes) 46.632 * * [simplify]: iters left: 1 (13 enodes) 46.634 * * [simplify]: Extracting #0: cost 1 inf + 0 46.634 * * [simplify]: Extracting #1: cost 0 inf + 1 46.634 * [simplify]: Simplified to 1 46.634 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 46.634 * [simplify]: Simplifying (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 46.634 * * [simplify]: iters left: 6 (10 enodes) 46.637 * * [simplify]: iters left: 5 (34 enodes) 46.643 * * [simplify]: iters left: 4 (36 enodes) 46.652 * * [simplify]: Extracting #0: cost 1 inf + 0 46.652 * * [simplify]: Extracting #1: cost 4 inf + 0 46.652 * * [simplify]: Extracting #2: cost 9 inf + 0 46.652 * * [simplify]: Extracting #3: cost 13 inf + 1 46.652 * * [simplify]: Extracting #4: cost 15 inf + 2 46.653 * * [simplify]: Extracting #5: cost 13 inf + 60 46.653 * * [simplify]: Extracting #6: cost 9 inf + 451 46.653 * * [simplify]: Extracting #7: cost 4 inf + 1381 46.654 * * [simplify]: Extracting #8: cost 0 inf + 2493 46.655 * [simplify]: Simplified to (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 46.655 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 46.655 * * * * [progress]: [ 152 / 267 ] simplifiying candidate # 46.655 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 1))) 46.655 * * [simplify]: iters left: 4 (4 enodes) 46.659 * * [simplify]: iters left: 3 (14 enodes) 46.662 * * [simplify]: iters left: 2 (16 enodes) 46.666 * * [simplify]: Extracting #0: cost 1 inf + 0 46.666 * * [simplify]: Extracting #1: cost 0 inf + 1 46.666 * [simplify]: Simplified to 1 46.666 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 46.667 * [simplify]: Simplifying (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 46.667 * * [simplify]: iters left: 6 (11 enodes) 46.674 * * [simplify]: iters left: 5 (37 enodes) 46.685 * * [simplify]: iters left: 4 (39 enodes) 46.697 * * [simplify]: Extracting #0: cost 1 inf + 0 46.697 * * [simplify]: Extracting #1: cost 4 inf + 0 46.697 * * [simplify]: Extracting #2: cost 9 inf + 0 46.697 * * [simplify]: Extracting #3: cost 13 inf + 1 46.697 * * [simplify]: Extracting #4: cost 15 inf + 2 46.697 * * [simplify]: Extracting #5: cost 13 inf + 60 46.697 * * [simplify]: Extracting #6: cost 9 inf + 531 46.698 * * [simplify]: Extracting #7: cost 3 inf + 1639 46.698 * * [simplify]: Extracting #8: cost 0 inf + 2493 46.699 * [simplify]: Simplified to (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 46.699 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))))) 46.699 * * * * [progress]: [ 153 / 267 ] simplifiying candidate # 46.700 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 1))) 46.700 * * [simplify]: iters left: 4 (4 enodes) 46.703 * * [simplify]: iters left: 3 (14 enodes) 46.707 * * [simplify]: iters left: 2 (16 enodes) 46.710 * * [simplify]: Extracting #0: cost 1 inf + 0 46.711 * * [simplify]: Extracting #1: cost 0 inf + 1 46.711 * [simplify]: Simplified to 1 46.711 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 46.711 * [simplify]: Simplifying (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 46.711 * * [simplify]: iters left: 6 (11 enodes) 46.715 * * [simplify]: iters left: 5 (37 enodes) 46.721 * * [simplify]: iters left: 4 (39 enodes) 46.730 * * [simplify]: Extracting #0: cost 1 inf + 0 46.730 * * [simplify]: Extracting #1: cost 4 inf + 0 46.730 * * [simplify]: Extracting #2: cost 9 inf + 0 46.730 * * [simplify]: Extracting #3: cost 13 inf + 1 46.730 * * [simplify]: Extracting #4: cost 15 inf + 2 46.730 * * [simplify]: Extracting #5: cost 13 inf + 60 46.731 * * [simplify]: Extracting #6: cost 9 inf + 531 46.731 * * [simplify]: Extracting #7: cost 3 inf + 1639 46.731 * * [simplify]: Extracting #8: cost 0 inf + 2493 46.732 * [simplify]: Simplified to (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 46.732 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))))) 46.732 * * * * [progress]: [ 154 / 267 ] simplifiying candidate # 46.732 * [simplify]: Simplifying (/ 1 (sqrt 1)) 46.732 * * [simplify]: iters left: 3 (3 enodes) 46.736 * * [simplify]: iters left: 2 (11 enodes) 46.737 * * [simplify]: iters left: 1 (13 enodes) 46.740 * * [simplify]: Extracting #0: cost 1 inf + 0 46.740 * * [simplify]: Extracting #1: cost 0 inf + 1 46.740 * [simplify]: Simplified to 1 46.740 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 46.741 * [simplify]: Simplifying (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 46.741 * * [simplify]: iters left: 6 (10 enodes) 46.746 * * [simplify]: iters left: 5 (34 enodes) 46.756 * * [simplify]: iters left: 4 (36 enodes) 46.767 * * [simplify]: Extracting #0: cost 1 inf + 0 46.767 * * [simplify]: Extracting #1: cost 4 inf + 0 46.767 * * [simplify]: Extracting #2: cost 9 inf + 0 46.767 * * [simplify]: Extracting #3: cost 13 inf + 1 46.767 * * [simplify]: Extracting #4: cost 15 inf + 2 46.767 * * [simplify]: Extracting #5: cost 13 inf + 60 46.767 * * [simplify]: Extracting #6: cost 9 inf + 451 46.768 * * [simplify]: Extracting #7: cost 4 inf + 1381 46.768 * * [simplify]: Extracting #8: cost 0 inf + 2493 46.769 * [simplify]: Simplified to (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 46.769 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 46.769 * * * * [progress]: [ 155 / 267 ] simplifiying candidate # 46.770 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 46.770 * * [simplify]: iters left: 6 (11 enodes) 46.774 * * [simplify]: iters left: 5 (37 enodes) 46.780 * * [simplify]: iters left: 4 (39 enodes) 46.786 * * [simplify]: Extracting #0: cost 1 inf + 0 46.786 * * [simplify]: Extracting #1: cost 4 inf + 0 46.786 * * [simplify]: Extracting #2: cost 5 inf + 1 46.786 * * [simplify]: Extracting #3: cost 7 inf + 1 46.786 * * [simplify]: Extracting #4: cost 9 inf + 1 46.786 * * [simplify]: Extracting #5: cost 11 inf + 1 46.786 * * [simplify]: Extracting #6: cost 14 inf + 1 46.786 * * [simplify]: Extracting #7: cost 15 inf + 2 46.786 * * [simplify]: Extracting #8: cost 17 inf + 2 46.786 * * [simplify]: Extracting #9: cost 15 inf + 60 46.786 * * [simplify]: Extracting #10: cost 12 inf + 353 46.786 * * [simplify]: Extracting #11: cost 7 inf + 1163 46.787 * * [simplify]: Extracting #12: cost 3 inf + 2195 46.787 * * [simplify]: Extracting #13: cost 0 inf + 3169 46.788 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.788 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 46.788 * [simplify]: Simplifying (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 46.788 * * [simplify]: iters left: 6 (11 enodes) 46.791 * * [simplify]: iters left: 5 (37 enodes) 46.797 * * [simplify]: iters left: 4 (39 enodes) 46.803 * * [simplify]: Extracting #0: cost 1 inf + 0 46.803 * * [simplify]: Extracting #1: cost 4 inf + 0 46.803 * * [simplify]: Extracting #2: cost 9 inf + 0 46.803 * * [simplify]: Extracting #3: cost 12 inf + 1 46.803 * * [simplify]: Extracting #4: cost 17 inf + 1 46.803 * * [simplify]: Extracting #5: cost 15 inf + 60 46.803 * * [simplify]: Extracting #6: cost 12 inf + 353 46.804 * * [simplify]: Extracting #7: cost 7 inf + 1163 46.804 * * [simplify]: Extracting #8: cost 3 inf + 2195 46.804 * * [simplify]: Extracting #9: cost 0 inf + 3169 46.805 * [simplify]: Simplified to (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.805 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 46.805 * * * * [progress]: [ 156 / 267 ] simplifiying candidate # 46.805 * [simplify]: Simplifying (/ 1 1) 46.805 * * [simplify]: iters left: 2 (2 enodes) 46.806 * * [simplify]: iters left: 1 (6 enodes) 46.808 * * [simplify]: Extracting #0: cost 1 inf + 0 46.808 * * [simplify]: Extracting #1: cost 0 inf + 1 46.808 * [simplify]: Simplified to 1 46.808 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 46.808 * [simplify]: Simplifying (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 46.808 * * [simplify]: iters left: 6 (10 enodes) 46.810 * * [simplify]: iters left: 5 (34 enodes) 46.816 * * [simplify]: iters left: 4 (36 enodes) 46.821 * * [simplify]: Extracting #0: cost 1 inf + 0 46.821 * * [simplify]: Extracting #1: cost 4 inf + 0 46.821 * * [simplify]: Extracting #2: cost 9 inf + 0 46.821 * * [simplify]: Extracting #3: cost 13 inf + 1 46.821 * * [simplify]: Extracting #4: cost 15 inf + 2 46.822 * * [simplify]: Extracting #5: cost 13 inf + 60 46.822 * * [simplify]: Extracting #6: cost 9 inf + 451 46.822 * * [simplify]: Extracting #7: cost 4 inf + 1381 46.822 * * [simplify]: Extracting #8: cost 0 inf + 2493 46.823 * [simplify]: Simplified to (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 46.823 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 46.823 * * * * [progress]: [ 157 / 267 ] simplifiying candidate # 46.823 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 46.823 * * [simplify]: iters left: 6 (12 enodes) 46.826 * * [simplify]: iters left: 5 (42 enodes) 46.838 * * [simplify]: iters left: 4 (46 enodes) 46.852 * * [simplify]: Extracting #0: cost 1 inf + 0 46.853 * * [simplify]: Extracting #1: cost 6 inf + 0 46.853 * * [simplify]: Extracting #2: cost 9 inf + 1 46.853 * * [simplify]: Extracting #3: cost 11 inf + 1 46.853 * * [simplify]: Extracting #4: cost 13 inf + 1 46.853 * * [simplify]: Extracting #5: cost 15 inf + 1 46.853 * * [simplify]: Extracting #6: cost 18 inf + 1 46.853 * * [simplify]: Extracting #7: cost 19 inf + 2 46.853 * * [simplify]: Extracting #8: cost 21 inf + 2 46.853 * * [simplify]: Extracting #9: cost 18 inf + 117 46.854 * * [simplify]: Extracting #10: cost 15 inf + 451 46.854 * * [simplify]: Extracting #11: cost 10 inf + 1381 46.855 * * [simplify]: Extracting #12: cost 6 inf + 2573 46.856 * * [simplify]: Extracting #13: cost 3 inf + 3747 46.856 * * [simplify]: Extracting #14: cost 0 inf + 4921 46.857 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.857 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 46.857 * [simplify]: Simplifying (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 46.858 * * [simplify]: iters left: 6 (11 enodes) 46.860 * * [simplify]: iters left: 5 (37 enodes) 46.866 * * [simplify]: iters left: 4 (39 enodes) 46.872 * * [simplify]: Extracting #0: cost 1 inf + 0 46.872 * * [simplify]: Extracting #1: cost 4 inf + 0 46.872 * * [simplify]: Extracting #2: cost 9 inf + 0 46.872 * * [simplify]: Extracting #3: cost 12 inf + 1 46.872 * * [simplify]: Extracting #4: cost 17 inf + 1 46.872 * * [simplify]: Extracting #5: cost 15 inf + 60 46.872 * * [simplify]: Extracting #6: cost 12 inf + 353 46.873 * * [simplify]: Extracting #7: cost 7 inf + 1163 46.873 * * [simplify]: Extracting #8: cost 3 inf + 2235 46.873 * * [simplify]: Extracting #9: cost 0 inf + 3329 46.874 * [simplify]: Simplified to (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.874 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 46.874 * * * * [progress]: [ 158 / 267 ] simplifiying candidate # 46.874 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 46.874 * * [simplify]: iters left: 6 (12 enodes) 46.878 * * [simplify]: iters left: 5 (41 enodes) 46.884 * * [simplify]: iters left: 4 (43 enodes) 46.891 * * [simplify]: Extracting #0: cost 1 inf + 0 46.891 * * [simplify]: Extracting #1: cost 4 inf + 0 46.891 * * [simplify]: Extracting #2: cost 6 inf + 1 46.891 * * [simplify]: Extracting #3: cost 9 inf + 1 46.891 * * [simplify]: Extracting #4: cost 11 inf + 1 46.891 * * [simplify]: Extracting #5: cost 13 inf + 1 46.891 * * [simplify]: Extracting #6: cost 16 inf + 1 46.891 * * [simplify]: Extracting #7: cost 17 inf + 2 46.891 * * [simplify]: Extracting #8: cost 19 inf + 2 46.891 * * [simplify]: Extracting #9: cost 17 inf + 60 46.891 * * [simplify]: Extracting #10: cost 13 inf + 451 46.892 * * [simplify]: Extracting #11: cost 9 inf + 1163 46.892 * * [simplify]: Extracting #12: cost 2 inf + 3369 46.893 * * [simplify]: Extracting #13: cost 0 inf + 4085 46.893 * [simplify]: Simplified to (/ 1 (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.893 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 46.893 * [simplify]: Simplifying (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 46.894 * * [simplify]: iters left: 6 (11 enodes) 46.896 * * [simplify]: iters left: 5 (37 enodes) 46.905 * * [simplify]: iters left: 4 (39 enodes) 46.916 * * [simplify]: Extracting #0: cost 1 inf + 0 46.916 * * [simplify]: Extracting #1: cost 4 inf + 0 46.916 * * [simplify]: Extracting #2: cost 9 inf + 0 46.916 * * [simplify]: Extracting #3: cost 12 inf + 1 46.916 * * [simplify]: Extracting #4: cost 17 inf + 1 46.916 * * [simplify]: Extracting #5: cost 15 inf + 60 46.916 * * [simplify]: Extracting #6: cost 12 inf + 353 46.916 * * [simplify]: Extracting #7: cost 7 inf + 1163 46.917 * * [simplify]: Extracting #8: cost 3 inf + 2315 46.917 * * [simplify]: Extracting #9: cost 0 inf + 3409 46.918 * [simplify]: Simplified to (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.918 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 46.918 * * * * [progress]: [ 159 / 267 ] simplifiying candidate # 46.918 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 46.918 * * [simplify]: iters left: 6 (11 enodes) 46.921 * * [simplify]: iters left: 5 (37 enodes) 46.927 * * [simplify]: iters left: 4 (39 enodes) 46.933 * * [simplify]: Extracting #0: cost 1 inf + 0 46.933 * * [simplify]: Extracting #1: cost 4 inf + 0 46.933 * * [simplify]: Extracting #2: cost 5 inf + 1 46.933 * * [simplify]: Extracting #3: cost 7 inf + 1 46.933 * * [simplify]: Extracting #4: cost 9 inf + 1 46.933 * * [simplify]: Extracting #5: cost 11 inf + 1 46.933 * * [simplify]: Extracting #6: cost 14 inf + 1 46.933 * * [simplify]: Extracting #7: cost 15 inf + 2 46.933 * * [simplify]: Extracting #8: cost 17 inf + 2 46.933 * * [simplify]: Extracting #9: cost 15 inf + 60 46.933 * * [simplify]: Extracting #10: cost 12 inf + 353 46.933 * * [simplify]: Extracting #11: cost 7 inf + 1163 46.934 * * [simplify]: Extracting #12: cost 3 inf + 2195 46.934 * * [simplify]: Extracting #13: cost 0 inf + 3169 46.934 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.935 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 46.937 * [simplify]: Simplifying (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 46.937 * * [simplify]: iters left: 6 (11 enodes) 46.940 * * [simplify]: iters left: 5 (37 enodes) 46.946 * * [simplify]: iters left: 4 (39 enodes) 46.953 * * [simplify]: Extracting #0: cost 1 inf + 0 46.953 * * [simplify]: Extracting #1: cost 4 inf + 0 46.953 * * [simplify]: Extracting #2: cost 9 inf + 0 46.953 * * [simplify]: Extracting #3: cost 12 inf + 1 46.953 * * [simplify]: Extracting #4: cost 17 inf + 1 46.953 * * [simplify]: Extracting #5: cost 15 inf + 60 46.953 * * [simplify]: Extracting #6: cost 12 inf + 353 46.953 * * [simplify]: Extracting #7: cost 7 inf + 1163 46.953 * * [simplify]: Extracting #8: cost 3 inf + 2195 46.954 * * [simplify]: Extracting #9: cost 0 inf + 3169 46.954 * [simplify]: Simplified to (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 46.954 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 46.955 * * * * [progress]: [ 160 / 267 ] simplifiying candidate # 46.955 * [simplify]: Simplifying (/ 1 (sqrt 1)) 46.955 * * [simplify]: iters left: 3 (3 enodes) 46.959 * * [simplify]: iters left: 2 (11 enodes) 46.961 * * [simplify]: iters left: 1 (13 enodes) 46.964 * * [simplify]: Extracting #0: cost 1 inf + 0 46.964 * * [simplify]: Extracting #1: cost 0 inf + 1 46.964 * [simplify]: Simplified to 1 46.964 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 46.965 * [simplify]: Simplifying (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 46.965 * * [simplify]: iters left: 6 (10 enodes) 46.970 * * [simplify]: iters left: 5 (34 enodes) 46.980 * * [simplify]: iters left: 4 (36 enodes) 46.990 * * [simplify]: Extracting #0: cost 1 inf + 0 46.990 * * [simplify]: Extracting #1: cost 4 inf + 0 46.990 * * [simplify]: Extracting #2: cost 9 inf + 0 46.991 * * [simplify]: Extracting #3: cost 13 inf + 1 46.991 * * [simplify]: Extracting #4: cost 15 inf + 2 46.991 * * [simplify]: Extracting #5: cost 13 inf + 60 46.991 * * [simplify]: Extracting #6: cost 9 inf + 451 46.991 * * [simplify]: Extracting #7: cost 4 inf + 1381 46.992 * * [simplify]: Extracting #8: cost 0 inf + 2493 46.993 * [simplify]: Simplified to (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 46.993 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 46.993 * * * * [progress]: [ 161 / 267 ] simplifiying candidate # 46.994 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 1))) 46.994 * * [simplify]: iters left: 4 (4 enodes) 46.996 * * [simplify]: iters left: 3 (14 enodes) 46.998 * * [simplify]: iters left: 2 (16 enodes) 47.000 * * [simplify]: Extracting #0: cost 1 inf + 0 47.000 * * [simplify]: Extracting #1: cost 0 inf + 1 47.000 * [simplify]: Simplified to 1 47.000 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 47.001 * [simplify]: Simplifying (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 47.001 * * [simplify]: iters left: 6 (11 enodes) 47.005 * * [simplify]: iters left: 5 (37 enodes) 47.010 * * [simplify]: iters left: 4 (39 enodes) 47.017 * * [simplify]: Extracting #0: cost 1 inf + 0 47.017 * * [simplify]: Extracting #1: cost 4 inf + 0 47.017 * * [simplify]: Extracting #2: cost 9 inf + 0 47.017 * * [simplify]: Extracting #3: cost 13 inf + 1 47.017 * * [simplify]: Extracting #4: cost 15 inf + 2 47.017 * * [simplify]: Extracting #5: cost 13 inf + 60 47.017 * * [simplify]: Extracting #6: cost 9 inf + 531 47.017 * * [simplify]: Extracting #7: cost 3 inf + 1639 47.018 * * [simplify]: Extracting #8: cost 0 inf + 2493 47.018 * [simplify]: Simplified to (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 47.018 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))))) 47.018 * * * * [progress]: [ 162 / 267 ] simplifiying candidate # 47.019 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 1))) 47.019 * * [simplify]: iters left: 4 (4 enodes) 47.020 * * [simplify]: iters left: 3 (14 enodes) 47.022 * * [simplify]: iters left: 2 (16 enodes) 47.025 * * [simplify]: Extracting #0: cost 1 inf + 0 47.025 * * [simplify]: Extracting #1: cost 0 inf + 1 47.025 * [simplify]: Simplified to 1 47.025 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 47.026 * [simplify]: Simplifying (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 47.026 * * [simplify]: iters left: 6 (11 enodes) 47.033 * * [simplify]: iters left: 5 (37 enodes) 47.043 * * [simplify]: iters left: 4 (39 enodes) 47.056 * * [simplify]: Extracting #0: cost 1 inf + 0 47.056 * * [simplify]: Extracting #1: cost 4 inf + 0 47.056 * * [simplify]: Extracting #2: cost 9 inf + 0 47.056 * * [simplify]: Extracting #3: cost 13 inf + 1 47.056 * * [simplify]: Extracting #4: cost 15 inf + 2 47.056 * * [simplify]: Extracting #5: cost 13 inf + 60 47.057 * * [simplify]: Extracting #6: cost 9 inf + 531 47.057 * * [simplify]: Extracting #7: cost 3 inf + 1639 47.057 * * [simplify]: Extracting #8: cost 0 inf + 2493 47.058 * [simplify]: Simplified to (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 47.058 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))))))) 47.058 * * * * [progress]: [ 163 / 267 ] simplifiying candidate # 47.058 * [simplify]: Simplifying (/ 1 (sqrt 1)) 47.058 * * [simplify]: iters left: 3 (3 enodes) 47.062 * * [simplify]: iters left: 2 (11 enodes) 47.064 * * [simplify]: iters left: 1 (13 enodes) 47.065 * * [simplify]: Extracting #0: cost 1 inf + 0 47.065 * * [simplify]: Extracting #1: cost 0 inf + 1 47.065 * [simplify]: Simplified to 1 47.066 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 47.066 * [simplify]: Simplifying (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 47.066 * * [simplify]: iters left: 6 (10 enodes) 47.068 * * [simplify]: iters left: 5 (34 enodes) 47.074 * * [simplify]: iters left: 4 (36 enodes) 47.079 * * [simplify]: Extracting #0: cost 1 inf + 0 47.079 * * [simplify]: Extracting #1: cost 4 inf + 0 47.079 * * [simplify]: Extracting #2: cost 9 inf + 0 47.079 * * [simplify]: Extracting #3: cost 13 inf + 1 47.079 * * [simplify]: Extracting #4: cost 15 inf + 2 47.079 * * [simplify]: Extracting #5: cost 13 inf + 60 47.079 * * [simplify]: Extracting #6: cost 9 inf + 451 47.080 * * [simplify]: Extracting #7: cost 4 inf + 1381 47.080 * * [simplify]: Extracting #8: cost 0 inf + 2493 47.080 * [simplify]: Simplified to (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 47.081 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 47.081 * * * * [progress]: [ 164 / 267 ] simplifiying candidate # 47.081 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 47.081 * * [simplify]: iters left: 6 (11 enodes) 47.084 * * [simplify]: iters left: 5 (37 enodes) 47.092 * * [simplify]: iters left: 4 (39 enodes) 47.103 * * [simplify]: Extracting #0: cost 1 inf + 0 47.103 * * [simplify]: Extracting #1: cost 4 inf + 0 47.103 * * [simplify]: Extracting #2: cost 5 inf + 1 47.103 * * [simplify]: Extracting #3: cost 7 inf + 1 47.103 * * [simplify]: Extracting #4: cost 9 inf + 1 47.103 * * [simplify]: Extracting #5: cost 11 inf + 1 47.103 * * [simplify]: Extracting #6: cost 14 inf + 1 47.103 * * [simplify]: Extracting #7: cost 15 inf + 2 47.104 * * [simplify]: Extracting #8: cost 17 inf + 2 47.104 * * [simplify]: Extracting #9: cost 15 inf + 60 47.104 * * [simplify]: Extracting #10: cost 12 inf + 353 47.104 * * [simplify]: Extracting #11: cost 7 inf + 1163 47.105 * * [simplify]: Extracting #12: cost 3 inf + 2195 47.106 * * [simplify]: Extracting #13: cost 0 inf + 3169 47.107 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 47.107 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 47.107 * [simplify]: Simplifying (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 47.107 * * [simplify]: iters left: 6 (11 enodes) 47.112 * * [simplify]: iters left: 5 (37 enodes) 47.118 * * [simplify]: iters left: 4 (39 enodes) 47.124 * * [simplify]: Extracting #0: cost 1 inf + 0 47.124 * * [simplify]: Extracting #1: cost 4 inf + 0 47.125 * * [simplify]: Extracting #2: cost 9 inf + 0 47.125 * * [simplify]: Extracting #3: cost 12 inf + 1 47.125 * * [simplify]: Extracting #4: cost 17 inf + 1 47.125 * * [simplify]: Extracting #5: cost 15 inf + 60 47.125 * * [simplify]: Extracting #6: cost 12 inf + 353 47.125 * * [simplify]: Extracting #7: cost 7 inf + 1163 47.125 * * [simplify]: Extracting #8: cost 3 inf + 2195 47.126 * * [simplify]: Extracting #9: cost 0 inf + 3169 47.126 * [simplify]: Simplified to (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 47.126 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 47.126 * * * * [progress]: [ 165 / 267 ] simplifiying candidate # 47.127 * [simplify]: Simplifying (/ 1 1) 47.127 * * [simplify]: iters left: 2 (2 enodes) 47.128 * * [simplify]: iters left: 1 (6 enodes) 47.129 * * [simplify]: Extracting #0: cost 1 inf + 0 47.129 * * [simplify]: Extracting #1: cost 0 inf + 1 47.129 * [simplify]: Simplified to 1 47.129 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 47.129 * [simplify]: Simplifying (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 47.129 * * [simplify]: iters left: 6 (10 enodes) 47.132 * * [simplify]: iters left: 5 (34 enodes) 47.137 * * [simplify]: iters left: 4 (36 enodes) 47.145 * * [simplify]: Extracting #0: cost 1 inf + 0 47.145 * * [simplify]: Extracting #1: cost 4 inf + 0 47.145 * * [simplify]: Extracting #2: cost 9 inf + 0 47.146 * * [simplify]: Extracting #3: cost 13 inf + 1 47.146 * * [simplify]: Extracting #4: cost 15 inf + 2 47.146 * * [simplify]: Extracting #5: cost 13 inf + 60 47.146 * * [simplify]: Extracting #6: cost 9 inf + 451 47.146 * * [simplify]: Extracting #7: cost 4 inf + 1381 47.147 * * [simplify]: Extracting #8: cost 0 inf + 2493 47.148 * [simplify]: Simplified to (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 47.148 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 47.148 * * * * [progress]: [ 166 / 267 ] simplifiying candidate # 47.148 * * * * [progress]: [ 167 / 267 ] simplifiying candidate # 47.148 * * * * [progress]: [ 168 / 267 ] simplifiying candidate # 47.148 * * * * [progress]: [ 169 / 267 ] simplifiying candidate # 47.149 * [simplify]: Simplifying (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 47.149 * * [simplify]: iters left: 6 (10 enodes) 47.154 * * [simplify]: iters left: 5 (34 enodes) 47.168 * * [simplify]: iters left: 4 (36 enodes) 47.178 * * [simplify]: Extracting #0: cost 1 inf + 0 47.178 * * [simplify]: Extracting #1: cost 3 inf + 0 47.178 * * [simplify]: Extracting #2: cost 5 inf + 0 47.178 * * [simplify]: Extracting #3: cost 8 inf + 0 47.179 * * [simplify]: Extracting #4: cost 9 inf + 1 47.179 * * [simplify]: Extracting #5: cost 12 inf + 1 47.179 * * [simplify]: Extracting #6: cost 13 inf + 2 47.179 * * [simplify]: Extracting #7: cost 15 inf + 2 47.179 * * [simplify]: Extracting #8: cost 13 inf + 60 47.179 * * [simplify]: Extracting #9: cost 9 inf + 451 47.179 * * [simplify]: Extracting #10: cost 4 inf + 1381 47.180 * * [simplify]: Extracting #11: cost 0 inf + 2573 47.181 * [simplify]: Simplified to (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 47.181 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (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)) 1/2) (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 47.181 * * * * [progress]: [ 170 / 267 ] simplifiying candidate # 47.182 * [simplify]: Simplifying (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 47.182 * * [simplify]: iters left: 6 (10 enodes) 47.187 * * [simplify]: iters left: 5 (34 enodes) 47.197 * * [simplify]: iters left: 4 (36 enodes) 47.208 * * [simplify]: Extracting #0: cost 1 inf + 0 47.208 * * [simplify]: Extracting #1: cost 3 inf + 0 47.208 * * [simplify]: Extracting #2: cost 5 inf + 0 47.208 * * [simplify]: Extracting #3: cost 8 inf + 0 47.208 * * [simplify]: Extracting #4: cost 9 inf + 1 47.208 * * [simplify]: Extracting #5: cost 12 inf + 1 47.208 * * [simplify]: Extracting #6: cost 13 inf + 2 47.208 * * [simplify]: Extracting #7: cost 15 inf + 2 47.208 * * [simplify]: Extracting #8: cost 13 inf + 60 47.209 * * [simplify]: Extracting #9: cost 9 inf + 451 47.209 * * [simplify]: Extracting #10: cost 4 inf + 1381 47.210 * * [simplify]: Extracting #11: cost 0 inf + 2653 47.210 * [simplify]: Simplified to (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 47.210 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 47.211 * * * * [progress]: [ 171 / 267 ] simplifiying candidate # 47.211 * [simplify]: Simplifying (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 47.211 * * [simplify]: iters left: 6 (10 enodes) 47.217 * * [simplify]: iters left: 5 (34 enodes) 47.227 * * [simplify]: iters left: 4 (36 enodes) 47.237 * * [simplify]: Extracting #0: cost 1 inf + 0 47.237 * * [simplify]: Extracting #1: cost 3 inf + 0 47.237 * * [simplify]: Extracting #2: cost 5 inf + 0 47.237 * * [simplify]: Extracting #3: cost 8 inf + 0 47.237 * * [simplify]: Extracting #4: cost 9 inf + 1 47.237 * * [simplify]: Extracting #5: cost 12 inf + 1 47.237 * * [simplify]: Extracting #6: cost 13 inf + 2 47.238 * * [simplify]: Extracting #7: cost 15 inf + 2 47.238 * * [simplify]: Extracting #8: cost 13 inf + 60 47.238 * * [simplify]: Extracting #9: cost 9 inf + 451 47.238 * * [simplify]: Extracting #10: cost 4 inf + 1381 47.239 * * [simplify]: Extracting #11: cost 0 inf + 2493 47.240 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 47.240 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 47.240 * * * * [progress]: [ 172 / 267 ] simplifiying candidate # 47.240 * [simplify]: Simplifying (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 47.241 * * [simplify]: iters left: 6 (9 enodes) 47.245 * * [simplify]: iters left: 5 (31 enodes) 47.254 * * [simplify]: iters left: 4 (33 enodes) 47.260 * * [simplify]: Extracting #0: cost 1 inf + 0 47.260 * * [simplify]: Extracting #1: cost 3 inf + 0 47.260 * * [simplify]: Extracting #2: cost 6 inf + 0 47.260 * * [simplify]: Extracting #3: cost 7 inf + 1 47.260 * * [simplify]: Extracting #4: cost 10 inf + 1 47.260 * * [simplify]: Extracting #5: cost 11 inf + 2 47.260 * * [simplify]: Extracting #6: cost 13 inf + 2 47.260 * * [simplify]: Extracting #7: cost 10 inf + 117 47.260 * * [simplify]: Extracting #8: cost 8 inf + 353 47.261 * * [simplify]: Extracting #9: cost 4 inf + 985 47.261 * * [simplify]: Extracting #10: cost 0 inf + 1897 47.261 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 47.261 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt 1)) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 47.261 * * * * [progress]: [ 173 / 267 ] simplifiying candidate # 47.262 * [simplify]: Simplifying (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 47.262 * * [simplify]: iters left: 6 (10 enodes) 47.265 * * [simplify]: iters left: 5 (34 enodes) 47.270 * * [simplify]: iters left: 4 (36 enodes) 47.275 * * [simplify]: Extracting #0: cost 1 inf + 0 47.275 * * [simplify]: Extracting #1: cost 3 inf + 0 47.275 * * [simplify]: Extracting #2: cost 6 inf + 0 47.275 * * [simplify]: Extracting #3: cost 7 inf + 1 47.275 * * [simplify]: Extracting #4: cost 10 inf + 1 47.276 * * [simplify]: Extracting #5: cost 11 inf + 2 47.276 * * [simplify]: Extracting #6: cost 13 inf + 2 47.276 * * [simplify]: Extracting #7: cost 12 inf + 3 47.276 * * [simplify]: Extracting #8: cost 9 inf + 215 47.276 * * [simplify]: Extracting #9: cost 4 inf + 945 47.276 * * [simplify]: Extracting #10: cost 0 inf + 1897 47.276 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 47.276 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (sqrt 1))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 47.277 * * * * [progress]: [ 174 / 267 ] simplifiying candidate # 47.277 * [simplify]: Simplifying (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 47.277 * * [simplify]: iters left: 6 (10 enodes) 47.280 * * [simplify]: iters left: 5 (34 enodes) 47.285 * * [simplify]: iters left: 4 (36 enodes) 47.294 * * [simplify]: Extracting #0: cost 1 inf + 0 47.294 * * [simplify]: Extracting #1: cost 3 inf + 0 47.294 * * [simplify]: Extracting #2: cost 6 inf + 0 47.294 * * [simplify]: Extracting #3: cost 7 inf + 1 47.294 * * [simplify]: Extracting #4: cost 10 inf + 1 47.294 * * [simplify]: Extracting #5: cost 11 inf + 2 47.294 * * [simplify]: Extracting #6: cost 13 inf + 2 47.294 * * [simplify]: Extracting #7: cost 12 inf + 3 47.294 * * [simplify]: Extracting #8: cost 9 inf + 215 47.295 * * [simplify]: Extracting #9: cost 4 inf + 945 47.295 * * [simplify]: Extracting #10: cost 0 inf + 1897 47.296 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 47.296 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (sqrt 1))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 47.296 * * * * [progress]: [ 175 / 267 ] simplifiying candidate # 47.297 * [simplify]: Simplifying (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 47.297 * * [simplify]: iters left: 6 (9 enodes) 47.305 * * [simplify]: iters left: 5 (31 enodes) 47.314 * * [simplify]: iters left: 4 (33 enodes) 47.322 * * [simplify]: Extracting #0: cost 1 inf + 0 47.322 * * [simplify]: Extracting #1: cost 3 inf + 0 47.322 * * [simplify]: Extracting #2: cost 6 inf + 0 47.322 * * [simplify]: Extracting #3: cost 7 inf + 1 47.322 * * [simplify]: Extracting #4: cost 10 inf + 1 47.322 * * [simplify]: Extracting #5: cost 11 inf + 2 47.323 * * [simplify]: Extracting #6: cost 13 inf + 2 47.323 * * [simplify]: Extracting #7: cost 10 inf + 117 47.323 * * [simplify]: Extracting #8: cost 8 inf + 353 47.323 * * [simplify]: Extracting #9: cost 4 inf + 985 47.323 * * [simplify]: Extracting #10: cost 0 inf + 1897 47.324 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 47.324 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt 1)) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 47.324 * * * * [progress]: [ 176 / 267 ] simplifiying candidate # 47.324 * [simplify]: Simplifying (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 47.324 * * [simplify]: iters left: 6 (10 enodes) 47.327 * * [simplify]: iters left: 5 (34 enodes) 47.333 * * [simplify]: iters left: 4 (36 enodes) 47.338 * * [simplify]: Extracting #0: cost 1 inf + 0 47.338 * * [simplify]: Extracting #1: cost 3 inf + 0 47.338 * * [simplify]: Extracting #2: cost 5 inf + 0 47.338 * * [simplify]: Extracting #3: cost 8 inf + 0 47.338 * * [simplify]: Extracting #4: cost 9 inf + 1 47.338 * * [simplify]: Extracting #5: cost 12 inf + 1 47.338 * * [simplify]: Extracting #6: cost 13 inf + 2 47.338 * * [simplify]: Extracting #7: cost 15 inf + 2 47.339 * * [simplify]: Extracting #8: cost 13 inf + 60 47.339 * * [simplify]: Extracting #9: cost 9 inf + 451 47.339 * * [simplify]: Extracting #10: cost 4 inf + 1381 47.339 * * [simplify]: Extracting #11: cost 0 inf + 2493 47.340 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 47.340 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 47.340 * * * * [progress]: [ 177 / 267 ] simplifiying candidate # 47.340 * [simplify]: Simplifying (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 47.340 * * [simplify]: iters left: 6 (9 enodes) 47.343 * * [simplify]: iters left: 5 (31 enodes) 47.348 * * [simplify]: iters left: 4 (33 enodes) 47.357 * * [simplify]: Extracting #0: cost 1 inf + 0 47.357 * * [simplify]: Extracting #1: cost 3 inf + 0 47.357 * * [simplify]: Extracting #2: cost 6 inf + 0 47.357 * * [simplify]: Extracting #3: cost 7 inf + 1 47.357 * * [simplify]: Extracting #4: cost 10 inf + 1 47.357 * * [simplify]: Extracting #5: cost 11 inf + 2 47.358 * * [simplify]: Extracting #6: cost 13 inf + 2 47.358 * * [simplify]: Extracting #7: cost 10 inf + 117 47.358 * * [simplify]: Extracting #8: cost 8 inf + 353 47.358 * * [simplify]: Extracting #9: cost 4 inf + 985 47.359 * * [simplify]: Extracting #10: cost 0 inf + 1897 47.359 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 47.359 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (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)) 1/2) 1) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) 47.360 * * * * [progress]: [ 178 / 267 ] simplifiying candidate # 47.360 * [simplify]: Simplifying (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 47.360 * * [simplify]: iters left: 6 (8 enodes) 47.365 * * [simplify]: iters left: 5 (27 enodes) 47.374 * * [simplify]: iters left: 4 (29 enodes) 47.382 * * [simplify]: Extracting #0: cost 1 inf + 0 47.382 * * [simplify]: Extracting #1: cost 3 inf + 0 47.382 * * [simplify]: Extracting #2: cost 5 inf + 0 47.383 * * [simplify]: Extracting #3: cost 8 inf + 0 47.383 * * [simplify]: Extracting #4: cost 9 inf + 1 47.383 * * [simplify]: Extracting #5: cost 12 inf + 1 47.383 * * [simplify]: Extracting #6: cost 9 inf + 60 47.383 * * [simplify]: Extracting #7: cost 5 inf + 451 47.383 * * [simplify]: Extracting #8: cost 1 inf + 1283 47.384 * * [simplify]: Extracting #9: cost 0 inf + 1541 47.384 * [simplify]: Simplified to (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 47.384 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 47.385 * * * * [progress]: [ 179 / 267 ] simplifiying candidate # 47.385 * [simplify]: Simplifying (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 47.385 * * [simplify]: iters left: 6 (7 enodes) 47.389 * * [simplify]: iters left: 5 (24 enodes) 47.397 * * [simplify]: iters left: 4 (26 enodes) 47.404 * * [simplify]: Extracting #0: cost 1 inf + 0 47.404 * * [simplify]: Extracting #1: cost 3 inf + 0 47.404 * * [simplify]: Extracting #2: cost 6 inf + 0 47.404 * * [simplify]: Extracting #3: cost 7 inf + 1 47.404 * * [simplify]: Extracting #4: cost 10 inf + 1 47.405 * * [simplify]: Extracting #5: cost 6 inf + 117 47.405 * * [simplify]: Extracting #6: cost 2 inf + 629 47.405 * * [simplify]: Extracting #7: cost 0 inf + 945 47.406 * [simplify]: Simplified to (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 47.406 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (/ (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 47.406 * * * * [progress]: [ 180 / 267 ] simplifiying candidate # 47.406 * * * * [progress]: [ 181 / 267 ] simplifiying candidate # 47.406 * * * * [progress]: [ 182 / 267 ] simplifiying candidate # 47.406 * [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)))))) 47.407 * * [simplify]: iters left: 6 (13 enodes) 47.413 * * [simplify]: iters left: 5 (45 enodes) 47.429 * * [simplify]: iters left: 4 (86 enodes) 47.458 * * [simplify]: iters left: 3 (153 enodes) 47.507 * * [simplify]: iters left: 2 (245 enodes) 47.608 * * [simplify]: iters left: 1 (357 enodes) 47.722 * * [simplify]: Extracting #0: cost 1 inf + 0 47.722 * * [simplify]: Extracting #1: cost 3 inf + 0 47.722 * * [simplify]: Extracting #2: cost 38 inf + 0 47.722 * * [simplify]: Extracting #3: cost 59 inf + 5 47.723 * * [simplify]: Extracting #4: cost 60 inf + 6 47.723 * * [simplify]: Extracting #5: cost 46 inf + 1602 47.725 * * [simplify]: Extracting #6: cost 7 inf + 10115 47.729 * * [simplify]: Extracting #7: cost 0 inf + 11762 47.733 * [simplify]: Simplified to (sqrt (+ 1 (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 47.733 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))) (sqrt (+ 1 (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 47.733 * * * * [progress]: [ 183 / 267 ] simplifiying candidate # 47.733 * [simplify]: Simplifying (sqrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 47.733 * * [simplify]: iters left: 6 (9 enodes) 47.736 * * [simplify]: iters left: 5 (32 enodes) 47.741 * * [simplify]: iters left: 4 (37 enodes) 47.747 * * [simplify]: Extracting #0: cost 1 inf + 0 47.747 * * [simplify]: Extracting #1: cost 3 inf + 0 47.747 * * [simplify]: Extracting #2: cost 7 inf + 0 47.747 * * [simplify]: Extracting #3: cost 9 inf + 1 47.747 * * [simplify]: Extracting #4: cost 12 inf + 1 47.747 * * [simplify]: Extracting #5: cost 13 inf + 2 47.747 * * [simplify]: Extracting #6: cost 15 inf + 2 47.747 * * [simplify]: Extracting #7: cost 13 inf + 60 47.747 * * [simplify]: Extracting #8: cost 10 inf + 353 47.748 * * [simplify]: Extracting #9: cost 3 inf + 1599 47.748 * * [simplify]: Extracting #10: cost 0 inf + 2333 47.749 * [simplify]: Simplified to (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 47.749 * [simplify]: Simplified (2 2 2 2) to (λ (x) (* (/ 1 (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)) 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 (/ 1/2 (hypot 1 x)))))))))) 47.750 * * * * [progress]: [ 184 / 267 ] simplifiying candidate # 47.750 * [simplify]: Simplifying (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3)) 47.750 * * [simplify]: iters left: 6 (9 enodes) 47.757 * * [simplify]: iters left: 5 (47 enodes) 47.775 * * [simplify]: iters left: 4 (89 enodes) 47.816 * * [simplify]: iters left: 3 (181 enodes) 47.889 * * [simplify]: iters left: 2 (307 enodes) 48.005 * * [simplify]: Extracting #0: cost 1 inf + 0 48.005 * * [simplify]: Extracting #1: cost 4 inf + 0 48.005 * * [simplify]: Extracting #2: cost 42 inf + 1 48.005 * * [simplify]: Extracting #3: cost 99 inf + 5 48.006 * * [simplify]: Extracting #4: cost 83 inf + 2758 48.012 * * [simplify]: Extracting #5: cost 15 inf + 25885 48.020 * * [simplify]: Extracting #6: cost 0 inf + 31409 48.027 * [simplify]: Simplified to (+ 1/8 (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x))) 48.027 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ 1/8 (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) 1/2)))))))) 48.028 * * * * [progress]: [ 185 / 267 ] simplifiying candidate # 48.028 * [simplify]: Simplifying (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 1/2)) 48.028 * * [simplify]: iters left: 6 (8 enodes) 48.031 * * [simplify]: iters left: 5 (37 enodes) 48.038 * * [simplify]: iters left: 4 (59 enodes) 48.048 * * [simplify]: iters left: 3 (85 enodes) 48.073 * * [simplify]: iters left: 2 (130 enodes) 48.107 * * [simplify]: iters left: 1 (167 enodes) 48.153 * * [simplify]: Extracting #0: cost 1 inf + 0 48.154 * * [simplify]: Extracting #1: cost 20 inf + 0 48.154 * * [simplify]: Extracting #2: cost 52 inf + 2 48.154 * * [simplify]: Extracting #3: cost 62 inf + 4 48.155 * * [simplify]: Extracting #4: cost 60 inf + 6 48.156 * * [simplify]: Extracting #5: cost 37 inf + 3105 48.157 * * [simplify]: Extracting #6: cost 7 inf + 8374 48.160 * * [simplify]: Extracting #7: cost 0 inf + 9499 48.162 * * [simplify]: Extracting #8: cost 0 inf + 9459 48.164 * [simplify]: Simplified to (+ -1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) 48.164 * [simplify]: Simplified (2 2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ -1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (/ 1/2 (hypot 1 x)) 1/2)))))) 48.165 * * * * [progress]: [ 186 / 267 ] simplifiying candidate #real (real->posit16 (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))> 48.165 * * * * [progress]: [ 187 / 267 ] simplifiying candidate # 48.165 * [simplify]: Simplifying (/ (exp (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (exp (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 48.165 * * [simplify]: iters left: 6 (14 enodes) 48.169 * * [simplify]: iters left: 5 (48 enodes) 48.177 * * [simplify]: iters left: 4 (54 enodes) 48.196 * * [simplify]: iters left: 3 (61 enodes) 48.207 * * [simplify]: iters left: 2 (72 enodes) 48.218 * * [simplify]: iters left: 1 (81 enodes) 48.231 * * [simplify]: Extracting #0: cost 1 inf + 0 48.231 * * [simplify]: Extracting #1: cost 9 inf + 0 48.231 * * [simplify]: Extracting #2: cost 15 inf + 1 48.231 * * [simplify]: Extracting #3: cost 21 inf + 1 48.231 * * [simplify]: Extracting #4: cost 29 inf + 1 48.232 * * [simplify]: Extracting #5: cost 32 inf + 3 48.232 * * [simplify]: Extracting #6: cost 35 inf + 3 48.232 * * [simplify]: Extracting #7: cost 28 inf + 550 48.233 * * [simplify]: Extracting #8: cost 19 inf + 2312 48.235 * * [simplify]: Extracting #9: cost 7 inf + 6420 48.238 * * [simplify]: Extracting #10: cost 0 inf + 9174 48.242 * * [simplify]: Extracting #11: cost 0 inf + 9104 48.245 * [simplify]: Simplified to (exp (- (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 48.245 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (log (exp (- (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 48.246 * * * * [progress]: [ 188 / 267 ] simplifiying candidate # 48.246 * * * * [progress]: [ 189 / 267 ] simplifiying candidate # 48.246 * * * * [progress]: [ 190 / 267 ] simplifiying candidate # 48.246 * * * * [progress]: [ 191 / 267 ] simplifiying candidate # 48.246 * * * * [progress]: [ 192 / 267 ] simplifiying candidate # 48.246 * * * * [progress]: [ 193 / 267 ] simplifiying candidate # 48.246 * * * * [progress]: [ 194 / 267 ] simplifiying candidate # 48.247 * [simplify]: Simplifying (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2)) 48.247 * * [simplify]: iters left: 6 (7 enodes) 48.251 * * [simplify]: iters left: 5 (28 enodes) 48.261 * * [simplify]: iters left: 4 (44 enodes) 48.273 * * [simplify]: iters left: 3 (56 enodes) 48.290 * * [simplify]: iters left: 2 (69 enodes) 48.307 * * [simplify]: iters left: 1 (72 enodes) 48.325 * * [simplify]: Extracting #0: cost 1 inf + 0 48.325 * * [simplify]: Extracting #1: cost 10 inf + 0 48.326 * * [simplify]: Extracting #2: cost 13 inf + 3 48.326 * * [simplify]: Extracting #3: cost 15 inf + 3 48.326 * * [simplify]: Extracting #4: cost 12 inf + 159 48.326 * * [simplify]: Extracting #5: cost 3 inf + 1240 48.327 * * [simplify]: Extracting #6: cost 0 inf + 1614 48.328 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 48.328 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 48.329 * [simplify]: Simplifying (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 48.329 * * [simplify]: iters left: 6 (9 enodes) 48.334 * * [simplify]: iters left: 5 (31 enodes) 48.344 * * [simplify]: iters left: 4 (33 enodes) 48.353 * * [simplify]: Extracting #0: cost 1 inf + 0 48.354 * * [simplify]: Extracting #1: cost 3 inf + 0 48.354 * * [simplify]: Extracting #2: cost 6 inf + 0 48.354 * * [simplify]: Extracting #3: cost 7 inf + 1 48.354 * * [simplify]: Extracting #4: cost 10 inf + 1 48.354 * * [simplify]: Extracting #5: cost 11 inf + 2 48.354 * * [simplify]: Extracting #6: cost 13 inf + 2 48.354 * * [simplify]: Extracting #7: cost 10 inf + 117 48.354 * * [simplify]: Extracting #8: cost 8 inf + 353 48.355 * * [simplify]: Extracting #9: cost 4 inf + 985 48.355 * * [simplify]: Extracting #10: cost 0 inf + 1897 48.356 * [simplify]: Simplified to (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 48.356 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 48.356 * * * * [progress]: [ 195 / 267 ] simplifiying candidate # 48.356 * [simplify]: Simplifying (- (* 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (/ 1/2 (hypot 1 x)) 1/2))) 48.357 * * [simplify]: iters left: 6 (12 enodes) 48.363 * * [simplify]: iters left: 5 (48 enodes) 48.375 * * [simplify]: iters left: 4 (104 enodes) 48.398 * * [simplify]: iters left: 3 (210 enodes) 48.481 * * [simplify]: iters left: 2 (302 enodes) 48.582 * * [simplify]: iters left: 1 (445 enodes) 48.804 * * [simplify]: Extracting #0: cost 1 inf + 0 48.804 * * [simplify]: Extracting #1: cost 39 inf + 0 48.805 * * [simplify]: Extracting #2: cost 150 inf + 5 48.806 * * [simplify]: Extracting #3: cost 166 inf + 7 48.807 * * [simplify]: Extracting #4: cost 149 inf + 2437 48.813 * * [simplify]: Extracting #5: cost 69 inf + 25745 48.827 * * [simplify]: Extracting #6: cost 0 inf + 50840 48.848 * * [simplify]: Extracting #7: cost 0 inf + 50793 48.880 * [simplify]: Simplified to (- (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1/2 (/ 1/2 (hypot 1 x))))) 48.880 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 48.881 * [simplify]: Simplifying (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 48.881 * * [simplify]: iters left: 6 (10 enodes) 48.886 * * [simplify]: iters left: 5 (32 enodes) 48.896 * * [simplify]: iters left: 4 (35 enodes) 48.906 * * [simplify]: Extracting #0: cost 1 inf + 0 48.906 * * [simplify]: Extracting #1: cost 5 inf + 0 48.906 * * [simplify]: Extracting #2: cost 7 inf + 1 48.906 * * [simplify]: Extracting #3: cost 10 inf + 1 48.906 * * [simplify]: Extracting #4: cost 11 inf + 2 48.906 * * [simplify]: Extracting #5: cost 13 inf + 2 48.906 * * [simplify]: Extracting #6: cost 11 inf + 60 48.907 * * [simplify]: Extracting #7: cost 7 inf + 451 48.907 * * [simplify]: Extracting #8: cost 2 inf + 1381 48.908 * * [simplify]: Extracting #9: cost 0 inf + 1897 48.908 * [simplify]: Simplified to (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 48.908 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- (* 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 48.909 * * * * [progress]: [ 196 / 267 ] simplifiying candidate # 48.909 * * * * [progress]: [ 197 / 267 ] simplifiying candidate # 48.909 * * * * [progress]: [ 198 / 267 ] simplifiying candidate # 48.909 * * * * [progress]: [ 199 / 267 ] simplifiying candidate # 48.909 * * * * [progress]: [ 200 / 267 ] simplifiying candidate # 48.909 * [simplify]: Simplifying (+ (sqrt (/ 1 (sqrt (+ 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))))))) 48.909 * * [simplify]: iters left: 6 (14 enodes) 48.921 * * [simplify]: iters left: 5 (47 enodes) 48.935 * * [simplify]: iters left: 4 (49 enodes) 48.949 * * [simplify]: Extracting #0: cost 1 inf + 0 48.949 * * [simplify]: Extracting #1: cost 4 inf + 0 48.949 * * [simplify]: Extracting #2: cost 8 inf + 0 48.949 * * [simplify]: Extracting #3: cost 13 inf + 0 48.949 * * [simplify]: Extracting #4: cost 17 inf + 1 48.950 * * [simplify]: Extracting #5: cost 20 inf + 2 48.950 * * [simplify]: Extracting #6: cost 23 inf + 2 48.950 * * [simplify]: Extracting #7: cost 17 inf + 491 48.950 * * [simplify]: Extracting #8: cost 10 inf + 1937 48.952 * * [simplify]: Extracting #9: cost 2 inf + 4561 48.953 * * [simplify]: Extracting #10: cost 0 inf + 5357 48.955 * [simplify]: Simplified to (+ (sqrt (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (sqrt (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 48.955 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (sqrt (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (sqrt (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (- (sqrt (/ 1 (sqrt (+ 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)))))))))) 48.956 * [simplify]: Simplifying (- (sqrt (/ 1 (sqrt (+ 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))))))) 48.956 * * [simplify]: iters left: 6 (14 enodes) 48.963 * * [simplify]: iters left: 5 (48 enodes) 48.977 * * [simplify]: iters left: 4 (53 enodes) 48.993 * * [simplify]: Extracting #0: cost 1 inf + 0 48.993 * * [simplify]: Extracting #1: cost 5 inf + 0 48.993 * * [simplify]: Extracting #2: cost 10 inf + 0 48.993 * * [simplify]: Extracting #3: cost 15 inf + 0 48.993 * * [simplify]: Extracting #4: cost 19 inf + 1 48.993 * * [simplify]: Extracting #5: cost 22 inf + 2 48.994 * * [simplify]: Extracting #6: cost 25 inf + 2 48.994 * * [simplify]: Extracting #7: cost 19 inf + 451 48.994 * * [simplify]: Extracting #8: cost 12 inf + 1977 48.996 * * [simplify]: Extracting #9: cost 2 inf + 5357 48.998 * * [simplify]: Extracting #10: cost 0 inf + 6113 49.000 * [simplify]: Simplified to (- (sqrt (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (sqrt (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 49.000 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (sqrt (/ 1 (sqrt (+ 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 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (sqrt (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 49.001 * * * * [progress]: [ 201 / 267 ] simplifiying candidate # 49.001 * [simplify]: Simplifying (+ (sqrt (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.001 * * [simplify]: iters left: 6 (14 enodes) 49.008 * * [simplify]: iters left: 5 (47 enodes) 49.022 * * [simplify]: iters left: 4 (49 enodes) 49.035 * * [simplify]: Extracting #0: cost 1 inf + 0 49.035 * * [simplify]: Extracting #1: cost 4 inf + 0 49.036 * * [simplify]: Extracting #2: cost 9 inf + 0 49.036 * * [simplify]: Extracting #3: cost 15 inf + 0 49.036 * * [simplify]: Extracting #4: cost 19 inf + 1 49.036 * * [simplify]: Extracting #5: cost 21 inf + 2 49.036 * * [simplify]: Extracting #6: cost 23 inf + 2 49.036 * * [simplify]: Extracting #7: cost 17 inf + 491 49.037 * * [simplify]: Extracting #8: cost 10 inf + 1937 49.038 * * [simplify]: Extracting #9: cost 2 inf + 4561 49.040 * * [simplify]: Extracting #10: cost 0 inf + 5357 49.041 * [simplify]: Simplified to (+ (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (sqrt (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 49.041 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (sqrt (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (- (sqrt (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 49.042 * [simplify]: Simplifying (- (sqrt (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.042 * * [simplify]: iters left: 6 (14 enodes) 49.049 * * [simplify]: iters left: 5 (48 enodes) 49.058 * * [simplify]: iters left: 4 (55 enodes) 49.066 * * [simplify]: iters left: 3 (57 enodes) 49.076 * * [simplify]: Extracting #0: cost 1 inf + 0 49.076 * * [simplify]: Extracting #1: cost 5 inf + 0 49.076 * * [simplify]: Extracting #2: cost 12 inf + 0 49.076 * * [simplify]: Extracting #3: cost 19 inf + 0 49.076 * * [simplify]: Extracting #4: cost 23 inf + 1 49.076 * * [simplify]: Extracting #5: cost 25 inf + 2 49.076 * * [simplify]: Extracting #6: cost 27 inf + 2 49.077 * * [simplify]: Extracting #7: cost 21 inf + 451 49.077 * * [simplify]: Extracting #8: cost 12 inf + 2413 49.078 * * [simplify]: Extracting #9: cost 3 inf + 5415 49.079 * * [simplify]: Extracting #10: cost 0 inf + 6549 49.080 * [simplify]: Simplified to (- (sqrt (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 49.080 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (sqrt (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (sqrt (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 49.080 * * * * [progress]: [ 202 / 267 ] simplifiying candidate # 49.081 * [simplify]: Simplifying (+ (sqrt (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.081 * * [simplify]: iters left: 6 (14 enodes) 49.085 * * [simplify]: iters left: 5 (47 enodes) 49.098 * * [simplify]: iters left: 4 (49 enodes) 49.112 * * [simplify]: Extracting #0: cost 1 inf + 0 49.112 * * [simplify]: Extracting #1: cost 4 inf + 0 49.112 * * [simplify]: Extracting #2: cost 9 inf + 0 49.112 * * [simplify]: Extracting #3: cost 15 inf + 0 49.112 * * [simplify]: Extracting #4: cost 19 inf + 1 49.113 * * [simplify]: Extracting #5: cost 21 inf + 2 49.113 * * [simplify]: Extracting #6: cost 23 inf + 2 49.113 * * [simplify]: Extracting #7: cost 17 inf + 491 49.114 * * [simplify]: Extracting #8: cost 10 inf + 1937 49.115 * * [simplify]: Extracting #9: cost 2 inf + 4561 49.116 * * [simplify]: Extracting #10: cost 0 inf + 5357 49.117 * [simplify]: Simplified to (+ (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (sqrt (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 49.117 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (sqrt (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (- (sqrt (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 49.117 * [simplify]: Simplifying (- (sqrt (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.117 * * [simplify]: iters left: 6 (14 enodes) 49.120 * * [simplify]: iters left: 5 (48 enodes) 49.128 * * [simplify]: iters left: 4 (55 enodes) 49.135 * * [simplify]: iters left: 3 (57 enodes) 49.143 * * [simplify]: Extracting #0: cost 1 inf + 0 49.143 * * [simplify]: Extracting #1: cost 5 inf + 0 49.143 * * [simplify]: Extracting #2: cost 12 inf + 0 49.144 * * [simplify]: Extracting #3: cost 19 inf + 0 49.144 * * [simplify]: Extracting #4: cost 23 inf + 1 49.144 * * [simplify]: Extracting #5: cost 25 inf + 2 49.144 * * [simplify]: Extracting #6: cost 27 inf + 2 49.144 * * [simplify]: Extracting #7: cost 21 inf + 451 49.144 * * [simplify]: Extracting #8: cost 12 inf + 2413 49.145 * * [simplify]: Extracting #9: cost 3 inf + 5415 49.146 * * [simplify]: Extracting #10: cost 0 inf + 6549 49.147 * [simplify]: Simplified to (- (sqrt (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 49.147 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (sqrt (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (sqrt (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 49.147 * * * * [progress]: [ 203 / 267 ] simplifiying candidate # 49.148 * [simplify]: Simplifying (+ (/ (sqrt 1) (sqrt (sqrt (+ 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))))))) 49.148 * * [simplify]: iters left: 6 (15 enodes) 49.155 * * [simplify]: iters left: 5 (50 enodes) 49.169 * * [simplify]: iters left: 4 (52 enodes) 49.187 * * [simplify]: Extracting #0: cost 1 inf + 0 49.187 * * [simplify]: Extracting #1: cost 4 inf + 0 49.187 * * [simplify]: Extracting #2: cost 9 inf + 0 49.187 * * [simplify]: Extracting #3: cost 12 inf + 1 49.187 * * [simplify]: Extracting #4: cost 17 inf + 1 49.187 * * [simplify]: Extracting #5: cost 20 inf + 2 49.188 * * [simplify]: Extracting #6: cost 23 inf + 2 49.188 * * [simplify]: Extracting #7: cost 20 inf + 158 49.188 * * [simplify]: Extracting #8: cost 13 inf + 1243 49.189 * * [simplify]: Extracting #9: cost 5 inf + 3467 49.191 * * [simplify]: Extracting #10: cost 0 inf + 5357 49.193 * [simplify]: Simplified to (+ (sqrt (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.193 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 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)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 49.193 * [simplify]: Simplifying (- (/ (sqrt 1) (sqrt (sqrt (+ 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))))))) 49.194 * * [simplify]: iters left: 6 (15 enodes) 49.201 * * [simplify]: iters left: 5 (51 enodes) 49.209 * * [simplify]: iters left: 4 (56 enodes) 49.217 * * [simplify]: Extracting #0: cost 1 inf + 0 49.217 * * [simplify]: Extracting #1: cost 5 inf + 0 49.217 * * [simplify]: Extracting #2: cost 11 inf + 0 49.217 * * [simplify]: Extracting #3: cost 14 inf + 1 49.217 * * [simplify]: Extracting #4: cost 19 inf + 1 49.217 * * [simplify]: Extracting #5: cost 22 inf + 2 49.217 * * [simplify]: Extracting #6: cost 25 inf + 2 49.217 * * [simplify]: Extracting #7: cost 21 inf + 215 49.218 * * [simplify]: Extracting #8: cost 13 inf + 1639 49.218 * * [simplify]: Extracting #9: cost 5 inf + 4103 49.219 * * [simplify]: Extracting #10: cost 1 inf + 5735 49.220 * * [simplify]: Extracting #11: cost 0 inf + 6113 49.221 * [simplify]: Simplified to (- (/ 1 (sqrt (sqrt (+ 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))))))) 49.221 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (/ (sqrt 1) (sqrt (sqrt (+ 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))))))) (- (/ 1 (sqrt (sqrt (+ 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)))))))))) 49.221 * * * * [progress]: [ 204 / 267 ] simplifiying candidate # 49.222 * [simplify]: Simplifying (+ (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.222 * * [simplify]: iters left: 6 (14 enodes) 49.226 * * [simplify]: iters left: 5 (47 enodes) 49.239 * * [simplify]: iters left: 4 (49 enodes) 49.253 * * [simplify]: Extracting #0: cost 1 inf + 0 49.253 * * [simplify]: Extracting #1: cost 4 inf + 0 49.253 * * [simplify]: Extracting #2: cost 9 inf + 0 49.253 * * [simplify]: Extracting #3: cost 12 inf + 1 49.253 * * [simplify]: Extracting #4: cost 17 inf + 1 49.253 * * [simplify]: Extracting #5: cost 19 inf + 2 49.254 * * [simplify]: Extracting #6: cost 21 inf + 2 49.254 * * [simplify]: Extracting #7: cost 20 inf + 3 49.254 * * [simplify]: Extracting #8: cost 17 inf + 215 49.254 * * [simplify]: Extracting #9: cost 13 inf + 767 49.255 * * [simplify]: Extracting #10: cost 9 inf + 1639 49.256 * * [simplify]: Extracting #11: cost 2 inf + 3925 49.257 * * [simplify]: Extracting #12: cost 0 inf + 4681 49.259 * [simplify]: Simplified to (+ (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.259 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 49.260 * [simplify]: Simplifying (- (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.260 * * [simplify]: iters left: 6 (14 enodes) 49.267 * * [simplify]: iters left: 5 (48 enodes) 49.282 * * [simplify]: iters left: 4 (55 enodes) 49.298 * * [simplify]: iters left: 3 (57 enodes) 49.313 * * [simplify]: Extracting #0: cost 1 inf + 0 49.313 * * [simplify]: Extracting #1: cost 5 inf + 0 49.313 * * [simplify]: Extracting #2: cost 12 inf + 0 49.314 * * [simplify]: Extracting #3: cost 16 inf + 1 49.314 * * [simplify]: Extracting #4: cost 21 inf + 1 49.314 * * [simplify]: Extracting #5: cost 23 inf + 2 49.314 * * [simplify]: Extracting #6: cost 25 inf + 2 49.314 * * [simplify]: Extracting #7: cost 21 inf + 215 49.315 * * [simplify]: Extracting #8: cost 14 inf + 1461 49.316 * * [simplify]: Extracting #9: cost 3 inf + 4739 49.318 * * [simplify]: Extracting #10: cost 0 inf + 5873 49.323 * [simplify]: Simplified to (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.323 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 49.323 * * * * [progress]: [ 205 / 267 ] simplifiying candidate # 49.323 * [simplify]: Simplifying (+ (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.324 * * [simplify]: iters left: 6 (14 enodes) 49.332 * * [simplify]: iters left: 5 (47 enodes) 49.345 * * [simplify]: iters left: 4 (49 enodes) 49.359 * * [simplify]: Extracting #0: cost 1 inf + 0 49.359 * * [simplify]: Extracting #1: cost 4 inf + 0 49.359 * * [simplify]: Extracting #2: cost 9 inf + 0 49.359 * * [simplify]: Extracting #3: cost 12 inf + 1 49.359 * * [simplify]: Extracting #4: cost 17 inf + 1 49.359 * * [simplify]: Extracting #5: cost 19 inf + 2 49.360 * * [simplify]: Extracting #6: cost 21 inf + 2 49.360 * * [simplify]: Extracting #7: cost 20 inf + 3 49.360 * * [simplify]: Extracting #8: cost 17 inf + 215 49.360 * * [simplify]: Extracting #9: cost 13 inf + 767 49.361 * * [simplify]: Extracting #10: cost 9 inf + 1639 49.362 * * [simplify]: Extracting #11: cost 2 inf + 3925 49.363 * * [simplify]: Extracting #12: cost 0 inf + 4681 49.365 * [simplify]: Simplified to (+ (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.365 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 49.365 * [simplify]: Simplifying (- (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.365 * * [simplify]: iters left: 6 (14 enodes) 49.373 * * [simplify]: iters left: 5 (48 enodes) 49.387 * * [simplify]: iters left: 4 (55 enodes) 49.402 * * [simplify]: iters left: 3 (57 enodes) 49.418 * * [simplify]: Extracting #0: cost 1 inf + 0 49.418 * * [simplify]: Extracting #1: cost 5 inf + 0 49.418 * * [simplify]: Extracting #2: cost 12 inf + 0 49.418 * * [simplify]: Extracting #3: cost 16 inf + 1 49.418 * * [simplify]: Extracting #4: cost 21 inf + 1 49.418 * * [simplify]: Extracting #5: cost 23 inf + 2 49.418 * * [simplify]: Extracting #6: cost 25 inf + 2 49.419 * * [simplify]: Extracting #7: cost 21 inf + 215 49.419 * * [simplify]: Extracting #8: cost 14 inf + 1461 49.420 * * [simplify]: Extracting #9: cost 3 inf + 4739 49.422 * * [simplify]: Extracting #10: cost 0 inf + 5873 49.424 * [simplify]: Simplified to (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.424 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 49.425 * * * * [progress]: [ 206 / 267 ] simplifiying candidate # 49.425 * [simplify]: Simplifying (+ (/ (sqrt 1) (sqrt (sqrt (+ 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))))))) 49.425 * * [simplify]: iters left: 6 (15 enodes) 49.433 * * [simplify]: iters left: 5 (50 enodes) 49.448 * * [simplify]: iters left: 4 (52 enodes) 49.462 * * [simplify]: Extracting #0: cost 1 inf + 0 49.462 * * [simplify]: Extracting #1: cost 4 inf + 0 49.462 * * [simplify]: Extracting #2: cost 9 inf + 0 49.462 * * [simplify]: Extracting #3: cost 12 inf + 1 49.462 * * [simplify]: Extracting #4: cost 17 inf + 1 49.463 * * [simplify]: Extracting #5: cost 20 inf + 2 49.463 * * [simplify]: Extracting #6: cost 23 inf + 2 49.463 * * [simplify]: Extracting #7: cost 20 inf + 158 49.463 * * [simplify]: Extracting #8: cost 13 inf + 1243 49.464 * * [simplify]: Extracting #9: cost 5 inf + 3467 49.466 * * [simplify]: Extracting #10: cost 0 inf + 5357 49.468 * [simplify]: Simplified to (+ (sqrt (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.468 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 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)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 49.468 * [simplify]: Simplifying (- (/ (sqrt 1) (sqrt (sqrt (+ 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))))))) 49.468 * * [simplify]: iters left: 6 (15 enodes) 49.476 * * [simplify]: iters left: 5 (51 enodes) 49.493 * * [simplify]: iters left: 4 (56 enodes) 49.510 * * [simplify]: Extracting #0: cost 1 inf + 0 49.510 * * [simplify]: Extracting #1: cost 5 inf + 0 49.510 * * [simplify]: Extracting #2: cost 11 inf + 0 49.510 * * [simplify]: Extracting #3: cost 14 inf + 1 49.510 * * [simplify]: Extracting #4: cost 19 inf + 1 49.510 * * [simplify]: Extracting #5: cost 22 inf + 2 49.510 * * [simplify]: Extracting #6: cost 25 inf + 2 49.510 * * [simplify]: Extracting #7: cost 21 inf + 215 49.511 * * [simplify]: Extracting #8: cost 13 inf + 1639 49.512 * * [simplify]: Extracting #9: cost 5 inf + 4103 49.513 * * [simplify]: Extracting #10: cost 1 inf + 5735 49.514 * * [simplify]: Extracting #11: cost 0 inf + 6113 49.515 * [simplify]: Simplified to (- (/ 1 (sqrt (sqrt (+ 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))))))) 49.515 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (/ (sqrt 1) (sqrt (sqrt (+ 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))))))) (- (/ 1 (sqrt (sqrt (+ 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)))))))))) 49.515 * * * * [progress]: [ 207 / 267 ] simplifiying candidate # 49.515 * [simplify]: Simplifying (+ (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.515 * * [simplify]: iters left: 6 (14 enodes) 49.520 * * [simplify]: iters left: 5 (47 enodes) 49.527 * * [simplify]: iters left: 4 (49 enodes) 49.534 * * [simplify]: Extracting #0: cost 1 inf + 0 49.534 * * [simplify]: Extracting #1: cost 4 inf + 0 49.535 * * [simplify]: Extracting #2: cost 9 inf + 0 49.535 * * [simplify]: Extracting #3: cost 12 inf + 1 49.535 * * [simplify]: Extracting #4: cost 17 inf + 1 49.535 * * [simplify]: Extracting #5: cost 19 inf + 2 49.535 * * [simplify]: Extracting #6: cost 21 inf + 2 49.535 * * [simplify]: Extracting #7: cost 20 inf + 3 49.535 * * [simplify]: Extracting #8: cost 17 inf + 215 49.535 * * [simplify]: Extracting #9: cost 13 inf + 767 49.535 * * [simplify]: Extracting #10: cost 9 inf + 1639 49.536 * * [simplify]: Extracting #11: cost 2 inf + 3925 49.537 * * [simplify]: Extracting #12: cost 0 inf + 4681 49.537 * [simplify]: Simplified to (+ (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.538 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 49.538 * [simplify]: Simplifying (- (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.538 * * [simplify]: iters left: 6 (14 enodes) 49.542 * * [simplify]: iters left: 5 (48 enodes) 49.549 * * [simplify]: iters left: 4 (55 enodes) 49.557 * * [simplify]: iters left: 3 (57 enodes) 49.565 * * [simplify]: Extracting #0: cost 1 inf + 0 49.565 * * [simplify]: Extracting #1: cost 5 inf + 0 49.565 * * [simplify]: Extracting #2: cost 12 inf + 0 49.565 * * [simplify]: Extracting #3: cost 16 inf + 1 49.565 * * [simplify]: Extracting #4: cost 21 inf + 1 49.565 * * [simplify]: Extracting #5: cost 23 inf + 2 49.565 * * [simplify]: Extracting #6: cost 25 inf + 2 49.566 * * [simplify]: Extracting #7: cost 21 inf + 215 49.566 * * [simplify]: Extracting #8: cost 14 inf + 1461 49.566 * * [simplify]: Extracting #9: cost 3 inf + 4739 49.567 * * [simplify]: Extracting #10: cost 0 inf + 5873 49.568 * [simplify]: Simplified to (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.568 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 49.569 * * * * [progress]: [ 208 / 267 ] simplifiying candidate # 49.569 * [simplify]: Simplifying (+ (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.569 * * [simplify]: iters left: 6 (14 enodes) 49.574 * * [simplify]: iters left: 5 (47 enodes) 49.584 * * [simplify]: iters left: 4 (49 enodes) 49.591 * * [simplify]: Extracting #0: cost 1 inf + 0 49.591 * * [simplify]: Extracting #1: cost 4 inf + 0 49.591 * * [simplify]: Extracting #2: cost 9 inf + 0 49.591 * * [simplify]: Extracting #3: cost 12 inf + 1 49.591 * * [simplify]: Extracting #4: cost 17 inf + 1 49.591 * * [simplify]: Extracting #5: cost 19 inf + 2 49.591 * * [simplify]: Extracting #6: cost 21 inf + 2 49.591 * * [simplify]: Extracting #7: cost 20 inf + 3 49.591 * * [simplify]: Extracting #8: cost 17 inf + 215 49.591 * * [simplify]: Extracting #9: cost 13 inf + 767 49.592 * * [simplify]: Extracting #10: cost 9 inf + 1639 49.592 * * [simplify]: Extracting #11: cost 2 inf + 3925 49.593 * * [simplify]: Extracting #12: cost 0 inf + 4681 49.594 * [simplify]: Simplified to (+ (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.594 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 49.594 * [simplify]: Simplifying (- (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.594 * * [simplify]: iters left: 6 (14 enodes) 49.598 * * [simplify]: iters left: 5 (48 enodes) 49.605 * * [simplify]: iters left: 4 (55 enodes) 49.614 * * [simplify]: iters left: 3 (57 enodes) 49.630 * * [simplify]: Extracting #0: cost 1 inf + 0 49.630 * * [simplify]: Extracting #1: cost 5 inf + 0 49.630 * * [simplify]: Extracting #2: cost 12 inf + 0 49.630 * * [simplify]: Extracting #3: cost 16 inf + 1 49.630 * * [simplify]: Extracting #4: cost 21 inf + 1 49.630 * * [simplify]: Extracting #5: cost 23 inf + 2 49.630 * * [simplify]: Extracting #6: cost 25 inf + 2 49.631 * * [simplify]: Extracting #7: cost 21 inf + 215 49.631 * * [simplify]: Extracting #8: cost 14 inf + 1461 49.632 * * [simplify]: Extracting #9: cost 3 inf + 4739 49.634 * * [simplify]: Extracting #10: cost 0 inf + 5873 49.636 * [simplify]: Simplified to (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.636 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (/ (sqrt 1) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 49.637 * * * * [progress]: [ 209 / 267 ] simplifiying candidate # 49.637 * [simplify]: Simplifying (+ (/ 1 (sqrt (sqrt (+ 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))))))) 49.637 * * [simplify]: iters left: 6 (14 enodes) 49.644 * * [simplify]: iters left: 5 (47 enodes) 49.658 * * [simplify]: iters left: 4 (49 enodes) 49.670 * * [simplify]: Extracting #0: cost 1 inf + 0 49.670 * * [simplify]: Extracting #1: cost 4 inf + 0 49.670 * * [simplify]: Extracting #2: cost 9 inf + 0 49.670 * * [simplify]: Extracting #3: cost 12 inf + 1 49.670 * * [simplify]: Extracting #4: cost 17 inf + 1 49.670 * * [simplify]: Extracting #5: cost 20 inf + 2 49.670 * * [simplify]: Extracting #6: cost 23 inf + 2 49.670 * * [simplify]: Extracting #7: cost 17 inf + 491 49.671 * * [simplify]: Extracting #8: cost 10 inf + 1937 49.671 * * [simplify]: Extracting #9: cost 2 inf + 4561 49.672 * * [simplify]: Extracting #10: cost 0 inf + 5357 49.673 * [simplify]: Simplified to (+ (sqrt (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 49.673 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (sqrt (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 49.673 * [simplify]: Simplifying (- (/ 1 (sqrt (sqrt (+ 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))))))) 49.673 * * [simplify]: iters left: 6 (14 enodes) 49.677 * * [simplify]: iters left: 5 (48 enodes) 49.684 * * [simplify]: iters left: 4 (53 enodes) 49.695 * * [simplify]: Extracting #0: cost 1 inf + 0 49.695 * * [simplify]: Extracting #1: cost 5 inf + 0 49.695 * * [simplify]: Extracting #2: cost 11 inf + 0 49.695 * * [simplify]: Extracting #3: cost 14 inf + 1 49.695 * * [simplify]: Extracting #4: cost 19 inf + 1 49.696 * * [simplify]: Extracting #5: cost 22 inf + 2 49.696 * * [simplify]: Extracting #6: cost 25 inf + 2 49.696 * * [simplify]: Extracting #7: cost 19 inf + 451 49.696 * * [simplify]: Extracting #8: cost 12 inf + 1977 49.697 * * [simplify]: Extracting #9: cost 2 inf + 5357 49.698 * * [simplify]: Extracting #10: cost 0 inf + 6113 49.699 * [simplify]: Simplified to (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (sqrt (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 49.699 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (sqrt (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 49.699 * * * * [progress]: [ 210 / 267 ] simplifiying candidate # 49.699 * [simplify]: Simplifying (+ (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.700 * * [simplify]: iters left: 6 (13 enodes) 49.706 * * [simplify]: iters left: 5 (44 enodes) 49.720 * * [simplify]: iters left: 4 (46 enodes) 49.733 * * [simplify]: Extracting #0: cost 1 inf + 0 49.733 * * [simplify]: Extracting #1: cost 4 inf + 0 49.733 * * [simplify]: Extracting #2: cost 9 inf + 0 49.733 * * [simplify]: Extracting #3: cost 12 inf + 1 49.733 * * [simplify]: Extracting #4: cost 17 inf + 1 49.734 * * [simplify]: Extracting #5: cost 19 inf + 2 49.734 * * [simplify]: Extracting #6: cost 21 inf + 2 49.734 * * [simplify]: Extracting #7: cost 19 inf + 60 49.734 * * [simplify]: Extracting #8: cost 16 inf + 353 49.734 * * [simplify]: Extracting #9: cost 12 inf + 985 49.735 * * [simplify]: Extracting #10: cost 7 inf + 2275 49.736 * * [simplify]: Extracting #11: cost 2 inf + 3925 49.738 * * [simplify]: Extracting #12: cost 0 inf + 4681 49.740 * [simplify]: Simplified to (+ (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 49.740 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 49.740 * [simplify]: Simplifying (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.740 * * [simplify]: iters left: 6 (13 enodes) 49.747 * * [simplify]: iters left: 5 (45 enodes) 49.760 * * [simplify]: iters left: 4 (52 enodes) 49.774 * * [simplify]: iters left: 3 (54 enodes) 49.782 * * [simplify]: Extracting #0: cost 1 inf + 0 49.782 * * [simplify]: Extracting #1: cost 5 inf + 0 49.782 * * [simplify]: Extracting #2: cost 12 inf + 0 49.782 * * [simplify]: Extracting #3: cost 16 inf + 1 49.782 * * [simplify]: Extracting #4: cost 21 inf + 1 49.782 * * [simplify]: Extracting #5: cost 23 inf + 2 49.782 * * [simplify]: Extracting #6: cost 25 inf + 2 49.782 * * [simplify]: Extracting #7: cost 21 inf + 296 49.782 * * [simplify]: Extracting #8: cost 11 inf + 2155 49.783 * * [simplify]: Extracting #9: cost 1 inf + 5455 49.784 * * [simplify]: Extracting #10: cost 0 inf + 5873 49.785 * [simplify]: Simplified to (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 49.785 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 49.785 * * * * [progress]: [ 211 / 267 ] simplifiying candidate # 49.786 * [simplify]: Simplifying (+ (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.786 * * [simplify]: iters left: 6 (13 enodes) 49.789 * * [simplify]: iters left: 5 (44 enodes) 49.796 * * [simplify]: iters left: 4 (46 enodes) 49.806 * * [simplify]: Extracting #0: cost 1 inf + 0 49.806 * * [simplify]: Extracting #1: cost 4 inf + 0 49.806 * * [simplify]: Extracting #2: cost 9 inf + 0 49.806 * * [simplify]: Extracting #3: cost 12 inf + 1 49.806 * * [simplify]: Extracting #4: cost 17 inf + 1 49.806 * * [simplify]: Extracting #5: cost 19 inf + 2 49.807 * * [simplify]: Extracting #6: cost 21 inf + 2 49.807 * * [simplify]: Extracting #7: cost 19 inf + 60 49.807 * * [simplify]: Extracting #8: cost 16 inf + 353 49.807 * * [simplify]: Extracting #9: cost 12 inf + 985 49.808 * * [simplify]: Extracting #10: cost 7 inf + 2275 49.809 * * [simplify]: Extracting #11: cost 2 inf + 3925 49.811 * * [simplify]: Extracting #12: cost 0 inf + 4681 49.812 * [simplify]: Simplified to (+ (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 49.812 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 49.813 * [simplify]: Simplifying (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.813 * * [simplify]: iters left: 6 (13 enodes) 49.820 * * [simplify]: iters left: 5 (45 enodes) 49.836 * * [simplify]: iters left: 4 (52 enodes) 49.846 * * [simplify]: iters left: 3 (54 enodes) 49.854 * * [simplify]: Extracting #0: cost 1 inf + 0 49.854 * * [simplify]: Extracting #1: cost 5 inf + 0 49.854 * * [simplify]: Extracting #2: cost 12 inf + 0 49.854 * * [simplify]: Extracting #3: cost 16 inf + 1 49.854 * * [simplify]: Extracting #4: cost 21 inf + 1 49.854 * * [simplify]: Extracting #5: cost 23 inf + 2 49.854 * * [simplify]: Extracting #6: cost 25 inf + 2 49.854 * * [simplify]: Extracting #7: cost 21 inf + 296 49.855 * * [simplify]: Extracting #8: cost 11 inf + 2155 49.855 * * [simplify]: Extracting #9: cost 1 inf + 5455 49.856 * * [simplify]: Extracting #10: cost 0 inf + 5873 49.857 * [simplify]: Simplified to (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 49.857 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 49.858 * * * * [progress]: [ 212 / 267 ] simplifiying candidate # 49.858 * [simplify]: Simplifying (+ (/ 1 (sqrt (sqrt (+ 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))))))) 49.858 * * [simplify]: iters left: 6 (14 enodes) 49.863 * * [simplify]: iters left: 5 (47 enodes) 49.869 * * [simplify]: iters left: 4 (49 enodes) 49.877 * * [simplify]: Extracting #0: cost 1 inf + 0 49.877 * * [simplify]: Extracting #1: cost 4 inf + 0 49.877 * * [simplify]: Extracting #2: cost 9 inf + 0 49.877 * * [simplify]: Extracting #3: cost 12 inf + 1 49.877 * * [simplify]: Extracting #4: cost 17 inf + 1 49.877 * * [simplify]: Extracting #5: cost 20 inf + 2 49.877 * * [simplify]: Extracting #6: cost 23 inf + 2 49.877 * * [simplify]: Extracting #7: cost 17 inf + 491 49.878 * * [simplify]: Extracting #8: cost 10 inf + 1937 49.878 * * [simplify]: Extracting #9: cost 2 inf + 4561 49.879 * * [simplify]: Extracting #10: cost 0 inf + 5357 49.880 * [simplify]: Simplified to (+ (sqrt (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 49.880 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (sqrt (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 49.880 * [simplify]: Simplifying (- (/ 1 (sqrt (sqrt (+ 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))))))) 49.880 * * [simplify]: iters left: 6 (14 enodes) 49.884 * * [simplify]: iters left: 5 (48 enodes) 49.892 * * [simplify]: iters left: 4 (53 enodes) 49.899 * * [simplify]: Extracting #0: cost 1 inf + 0 49.899 * * [simplify]: Extracting #1: cost 5 inf + 0 49.900 * * [simplify]: Extracting #2: cost 11 inf + 0 49.900 * * [simplify]: Extracting #3: cost 14 inf + 1 49.900 * * [simplify]: Extracting #4: cost 19 inf + 1 49.900 * * [simplify]: Extracting #5: cost 22 inf + 2 49.900 * * [simplify]: Extracting #6: cost 25 inf + 2 49.900 * * [simplify]: Extracting #7: cost 19 inf + 451 49.900 * * [simplify]: Extracting #8: cost 12 inf + 1977 49.901 * * [simplify]: Extracting #9: cost 2 inf + 5357 49.902 * * [simplify]: Extracting #10: cost 0 inf + 6113 49.903 * [simplify]: Simplified to (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (sqrt (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 49.903 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (sqrt (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 49.903 * * * * [progress]: [ 213 / 267 ] simplifiying candidate # 49.903 * [simplify]: Simplifying (+ (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.904 * * [simplify]: iters left: 6 (13 enodes) 49.907 * * [simplify]: iters left: 5 (44 enodes) 49.920 * * [simplify]: iters left: 4 (46 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 9 inf + 0 49.937 * * [simplify]: Extracting #3: cost 12 inf + 1 49.937 * * [simplify]: Extracting #4: cost 17 inf + 1 49.937 * * [simplify]: Extracting #5: cost 19 inf + 2 49.937 * * [simplify]: Extracting #6: cost 21 inf + 2 49.937 * * [simplify]: Extracting #7: cost 19 inf + 60 49.937 * * [simplify]: Extracting #8: cost 16 inf + 353 49.937 * * [simplify]: Extracting #9: cost 12 inf + 985 49.938 * * [simplify]: Extracting #10: cost 7 inf + 2275 49.940 * * [simplify]: Extracting #11: cost 2 inf + 3925 49.941 * * [simplify]: Extracting #12: cost 0 inf + 4681 49.943 * [simplify]: Simplified to (+ (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 49.943 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 49.943 * [simplify]: Simplifying (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.943 * * [simplify]: iters left: 6 (13 enodes) 49.947 * * [simplify]: iters left: 5 (45 enodes) 49.954 * * [simplify]: iters left: 4 (52 enodes) 49.962 * * [simplify]: iters left: 3 (54 enodes) 49.971 * * [simplify]: Extracting #0: cost 1 inf + 0 49.971 * * [simplify]: Extracting #1: cost 5 inf + 0 49.971 * * [simplify]: Extracting #2: cost 12 inf + 0 49.971 * * [simplify]: Extracting #3: cost 16 inf + 1 49.971 * * [simplify]: Extracting #4: cost 21 inf + 1 49.971 * * [simplify]: Extracting #5: cost 23 inf + 2 49.972 * * [simplify]: Extracting #6: cost 25 inf + 2 49.972 * * [simplify]: Extracting #7: cost 21 inf + 296 49.972 * * [simplify]: Extracting #8: cost 11 inf + 2155 49.974 * * [simplify]: Extracting #9: cost 1 inf + 5455 49.976 * * [simplify]: Extracting #10: cost 0 inf + 5873 49.978 * [simplify]: Simplified to (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 49.978 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 49.979 * * * * [progress]: [ 214 / 267 ] simplifiying candidate # 49.979 * [simplify]: Simplifying (+ (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 49.979 * * [simplify]: iters left: 6 (13 enodes) 49.986 * * [simplify]: iters left: 5 (44 enodes) 49.999 * * [simplify]: iters left: 4 (46 enodes) 50.012 * * [simplify]: Extracting #0: cost 1 inf + 0 50.012 * * [simplify]: Extracting #1: cost 4 inf + 0 50.013 * * [simplify]: Extracting #2: cost 9 inf + 0 50.013 * * [simplify]: Extracting #3: cost 12 inf + 1 50.013 * * [simplify]: Extracting #4: cost 17 inf + 1 50.013 * * [simplify]: Extracting #5: cost 19 inf + 2 50.013 * * [simplify]: Extracting #6: cost 21 inf + 2 50.013 * * [simplify]: Extracting #7: cost 19 inf + 60 50.013 * * [simplify]: Extracting #8: cost 16 inf + 353 50.014 * * [simplify]: Extracting #9: cost 12 inf + 985 50.014 * * [simplify]: Extracting #10: cost 7 inf + 2275 50.015 * * [simplify]: Extracting #11: cost 2 inf + 3925 50.017 * * [simplify]: Extracting #12: cost 0 inf + 4681 50.018 * [simplify]: Simplified to (+ (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 50.019 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 50.019 * [simplify]: Simplifying (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 50.019 * * [simplify]: iters left: 6 (13 enodes) 50.023 * * [simplify]: iters left: 5 (45 enodes) 50.030 * * [simplify]: iters left: 4 (52 enodes) 50.038 * * [simplify]: iters left: 3 (54 enodes) 50.048 * * [simplify]: Extracting #0: cost 1 inf + 0 50.048 * * [simplify]: Extracting #1: cost 5 inf + 0 50.048 * * [simplify]: Extracting #2: cost 12 inf + 0 50.048 * * [simplify]: Extracting #3: cost 16 inf + 1 50.049 * * [simplify]: Extracting #4: cost 21 inf + 1 50.049 * * [simplify]: Extracting #5: cost 23 inf + 2 50.049 * * [simplify]: Extracting #6: cost 25 inf + 2 50.049 * * [simplify]: Extracting #7: cost 21 inf + 296 50.049 * * [simplify]: Extracting #8: cost 11 inf + 2155 50.050 * * [simplify]: Extracting #9: cost 1 inf + 5455 50.051 * * [simplify]: Extracting #10: cost 0 inf + 5873 50.052 * [simplify]: Simplified to (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 50.052 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (+ (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 50.053 * * * * [progress]: [ 215 / 267 ] simplifiying candidate # 50.053 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 50.053 * * [simplify]: iters left: 6 (12 enodes) 50.059 * * [simplify]: iters left: 5 (42 enodes) 50.072 * * [simplify]: iters left: 4 (46 enodes) 50.086 * * [simplify]: Extracting #0: cost 1 inf + 0 50.086 * * [simplify]: Extracting #1: cost 6 inf + 0 50.086 * * [simplify]: Extracting #2: cost 9 inf + 1 50.086 * * [simplify]: Extracting #3: cost 11 inf + 1 50.086 * * [simplify]: Extracting #4: cost 13 inf + 1 50.086 * * [simplify]: Extracting #5: cost 15 inf + 1 50.087 * * [simplify]: Extracting #6: cost 18 inf + 1 50.087 * * [simplify]: Extracting #7: cost 19 inf + 2 50.087 * * [simplify]: Extracting #8: cost 21 inf + 2 50.087 * * [simplify]: Extracting #9: cost 18 inf + 117 50.087 * * [simplify]: Extracting #10: cost 15 inf + 451 50.088 * * [simplify]: Extracting #11: cost 10 inf + 1381 50.088 * * [simplify]: Extracting #12: cost 6 inf + 2573 50.091 * * [simplify]: Extracting #13: cost 3 inf + 3747 50.093 * * [simplify]: Extracting #14: cost 0 inf + 4921 50.094 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 50.094 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 50.095 * [simplify]: Simplifying (- (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 50.095 * * [simplify]: iters left: 6 (13 enodes) 50.101 * * [simplify]: iters left: 5 (45 enodes) 50.115 * * [simplify]: iters left: 4 (52 enodes) 50.131 * * [simplify]: iters left: 3 (59 enodes) 50.148 * * [simplify]: iters left: 2 (64 enodes) 50.166 * * [simplify]: Extracting #0: cost 1 inf + 0 50.166 * * [simplify]: Extracting #1: cost 5 inf + 0 50.166 * * [simplify]: Extracting #2: cost 12 inf + 0 50.166 * * [simplify]: Extracting #3: cost 19 inf + 1 50.166 * * [simplify]: Extracting #4: cost 22 inf + 3 50.166 * * [simplify]: Extracting #5: cost 26 inf + 3 50.166 * * [simplify]: Extracting #6: cost 20 inf + 631 50.167 * * [simplify]: Extracting #7: cost 10 inf + 2450 50.169 * * [simplify]: Extracting #8: cost 1 inf + 5852 50.171 * * [simplify]: Extracting #9: cost 0 inf + 6310 50.173 * [simplify]: Simplified to (- (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 50.173 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 50.173 * * * * [progress]: [ 216 / 267 ] simplifiying candidate # 50.174 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 50.174 * * [simplify]: iters left: 6 (12 enodes) 50.180 * * [simplify]: iters left: 5 (42 enodes) 50.192 * * [simplify]: iters left: 4 (46 enodes) 50.209 * * [simplify]: Extracting #0: cost 1 inf + 0 50.209 * * [simplify]: Extracting #1: cost 6 inf + 0 50.209 * * [simplify]: Extracting #2: cost 9 inf + 1 50.209 * * [simplify]: Extracting #3: cost 11 inf + 1 50.209 * * [simplify]: Extracting #4: cost 13 inf + 1 50.209 * * [simplify]: Extracting #5: cost 15 inf + 1 50.209 * * [simplify]: Extracting #6: cost 18 inf + 1 50.209 * * [simplify]: Extracting #7: cost 19 inf + 2 50.210 * * [simplify]: Extracting #8: cost 21 inf + 2 50.210 * * [simplify]: Extracting #9: cost 18 inf + 117 50.210 * * [simplify]: Extracting #10: cost 15 inf + 451 50.210 * * [simplify]: Extracting #11: cost 10 inf + 1381 50.211 * * [simplify]: Extracting #12: cost 6 inf + 2573 50.212 * * [simplify]: Extracting #13: cost 3 inf + 3747 50.214 * * [simplify]: Extracting #14: cost 0 inf + 4921 50.215 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 50.215 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 50.216 * [simplify]: Simplifying (- (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 50.216 * * [simplify]: iters left: 6 (13 enodes) 50.223 * * [simplify]: iters left: 5 (45 enodes) 50.237 * * [simplify]: iters left: 4 (52 enodes) 50.253 * * [simplify]: iters left: 3 (59 enodes) 50.269 * * [simplify]: iters left: 2 (64 enodes) 50.278 * * [simplify]: Extracting #0: cost 1 inf + 0 50.278 * * [simplify]: Extracting #1: cost 5 inf + 0 50.278 * * [simplify]: Extracting #2: cost 12 inf + 0 50.278 * * [simplify]: Extracting #3: cost 19 inf + 1 50.278 * * [simplify]: Extracting #4: cost 22 inf + 3 50.279 * * [simplify]: Extracting #5: cost 26 inf + 3 50.279 * * [simplify]: Extracting #6: cost 20 inf + 631 50.279 * * [simplify]: Extracting #7: cost 10 inf + 2450 50.280 * * [simplify]: Extracting #8: cost 1 inf + 5852 50.281 * * [simplify]: Extracting #9: cost 0 inf + 6310 50.282 * [simplify]: Simplified to (- (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 50.282 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (* (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (cbrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 50.282 * * * * [progress]: [ 217 / 267 ] simplifiying candidate # 50.282 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 50.283 * * [simplify]: iters left: 6 (12 enodes) 50.286 * * [simplify]: iters left: 5 (41 enodes) 50.292 * * [simplify]: iters left: 4 (43 enodes) 50.299 * * [simplify]: Extracting #0: cost 1 inf + 0 50.299 * * [simplify]: Extracting #1: cost 4 inf + 0 50.299 * * [simplify]: Extracting #2: cost 6 inf + 1 50.299 * * [simplify]: Extracting #3: cost 9 inf + 1 50.299 * * [simplify]: Extracting #4: cost 11 inf + 1 50.299 * * [simplify]: Extracting #5: cost 13 inf + 1 50.299 * * [simplify]: Extracting #6: cost 16 inf + 1 50.299 * * [simplify]: Extracting #7: cost 17 inf + 2 50.299 * * [simplify]: Extracting #8: cost 19 inf + 2 50.299 * * [simplify]: Extracting #9: cost 17 inf + 60 50.299 * * [simplify]: Extracting #10: cost 13 inf + 451 50.300 * * [simplify]: Extracting #11: cost 9 inf + 1163 50.301 * * [simplify]: Extracting #12: cost 2 inf + 3369 50.302 * * [simplify]: Extracting #13: cost 0 inf + 4085 50.303 * [simplify]: Simplified to (/ 1 (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 50.303 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 50.303 * [simplify]: Simplifying (- (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 50.304 * * [simplify]: iters left: 6 (13 enodes) 50.310 * * [simplify]: iters left: 5 (45 enodes) 50.324 * * [simplify]: iters left: 4 (52 enodes) 50.339 * * [simplify]: iters left: 3 (59 enodes) 50.359 * * [simplify]: iters left: 2 (64 enodes) 50.377 * * [simplify]: Extracting #0: cost 1 inf + 0 50.377 * * [simplify]: Extracting #1: cost 5 inf + 0 50.377 * * [simplify]: Extracting #2: cost 12 inf + 0 50.377 * * [simplify]: Extracting #3: cost 19 inf + 1 50.377 * * [simplify]: Extracting #4: cost 22 inf + 3 50.377 * * [simplify]: Extracting #5: cost 26 inf + 3 50.377 * * [simplify]: Extracting #6: cost 20 inf + 631 50.378 * * [simplify]: Extracting #7: cost 10 inf + 2490 50.380 * * [simplify]: Extracting #8: cost 1 inf + 5932 50.382 * * [simplify]: Extracting #9: cost 0 inf + 6390 50.384 * [simplify]: Simplified to (- (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 50.384 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 50.384 * * * * [progress]: [ 218 / 267 ] simplifiying candidate # 50.385 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 50.385 * * [simplify]: iters left: 6 (12 enodes) 50.391 * * [simplify]: iters left: 5 (41 enodes) 50.404 * * [simplify]: iters left: 4 (43 enodes) 50.418 * * [simplify]: Extracting #0: cost 1 inf + 0 50.418 * * [simplify]: Extracting #1: cost 4 inf + 0 50.418 * * [simplify]: Extracting #2: cost 6 inf + 1 50.418 * * [simplify]: Extracting #3: cost 9 inf + 1 50.418 * * [simplify]: Extracting #4: cost 11 inf + 1 50.418 * * [simplify]: Extracting #5: cost 13 inf + 1 50.418 * * [simplify]: Extracting #6: cost 16 inf + 1 50.418 * * [simplify]: Extracting #7: cost 17 inf + 2 50.418 * * [simplify]: Extracting #8: cost 19 inf + 2 50.418 * * [simplify]: Extracting #9: cost 17 inf + 60 50.419 * * [simplify]: Extracting #10: cost 13 inf + 451 50.419 * * [simplify]: Extracting #11: cost 9 inf + 1163 50.420 * * [simplify]: Extracting #12: cost 2 inf + 3369 50.421 * * [simplify]: Extracting #13: cost 0 inf + 4085 50.422 * [simplify]: Simplified to (/ 1 (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 50.422 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (fabs (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 50.423 * [simplify]: Simplifying (- (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 50.423 * * [simplify]: iters left: 6 (13 enodes) 50.429 * * [simplify]: iters left: 5 (45 enodes) 50.443 * * [simplify]: iters left: 4 (52 enodes) 50.458 * * [simplify]: iters left: 3 (59 enodes) 50.476 * * [simplify]: iters left: 2 (64 enodes) 50.494 * * [simplify]: Extracting #0: cost 1 inf + 0 50.494 * * [simplify]: Extracting #1: cost 5 inf + 0 50.494 * * [simplify]: Extracting #2: cost 12 inf + 0 50.494 * * [simplify]: Extracting #3: cost 19 inf + 1 50.494 * * [simplify]: Extracting #4: cost 22 inf + 3 50.494 * * [simplify]: Extracting #5: cost 26 inf + 3 50.494 * * [simplify]: Extracting #6: cost 20 inf + 631 50.495 * * [simplify]: Extracting #7: cost 10 inf + 2490 50.497 * * [simplify]: Extracting #8: cost 1 inf + 5932 50.499 * * [simplify]: Extracting #9: cost 0 inf + 6390 50.501 * [simplify]: Simplified to (- (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 50.501 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (- (/ 1 (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 50.502 * * * * [progress]: [ 219 / 267 ] simplifiying candidate # 50.502 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 50.502 * * [simplify]: iters left: 6 (11 enodes) 50.508 * * [simplify]: iters left: 5 (37 enodes) 50.515 * * [simplify]: iters left: 4 (39 enodes) 50.521 * * [simplify]: Extracting #0: cost 1 inf + 0 50.521 * * [simplify]: Extracting #1: cost 4 inf + 0 50.521 * * [simplify]: Extracting #2: cost 5 inf + 1 50.521 * * [simplify]: Extracting #3: cost 7 inf + 1 50.521 * * [simplify]: Extracting #4: cost 9 inf + 1 50.521 * * [simplify]: Extracting #5: cost 11 inf + 1 50.521 * * [simplify]: Extracting #6: cost 14 inf + 1 50.521 * * [simplify]: Extracting #7: cost 15 inf + 2 50.521 * * [simplify]: Extracting #8: cost 17 inf + 2 50.521 * * [simplify]: Extracting #9: cost 15 inf + 60 50.521 * * [simplify]: Extracting #10: cost 12 inf + 353 50.522 * * [simplify]: Extracting #11: cost 7 inf + 1163 50.522 * * [simplify]: Extracting #12: cost 3 inf + 2195 50.523 * * [simplify]: Extracting #13: cost 0 inf + 3169 50.523 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 50.523 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 50.524 * [simplify]: Simplifying (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 50.524 * * [simplify]: iters left: 6 (13 enodes) 50.527 * * [simplify]: iters left: 5 (45 enodes) 50.534 * * [simplify]: iters left: 4 (52 enodes) 50.542 * * [simplify]: iters left: 3 (59 enodes) 50.551 * * [simplify]: iters left: 2 (64 enodes) 50.561 * * [simplify]: Extracting #0: cost 1 inf + 0 50.561 * * [simplify]: Extracting #1: cost 5 inf + 0 50.561 * * [simplify]: Extracting #2: cost 12 inf + 0 50.561 * * [simplify]: Extracting #3: cost 19 inf + 1 50.561 * * [simplify]: Extracting #4: cost 22 inf + 3 50.561 * * [simplify]: Extracting #5: cost 26 inf + 3 50.561 * * [simplify]: Extracting #6: cost 20 inf + 631 50.561 * * [simplify]: Extracting #7: cost 10 inf + 2410 50.562 * * [simplify]: Extracting #8: cost 1 inf + 5492 50.564 * * [simplify]: Extracting #9: cost 0 inf + 5910 50.565 * [simplify]: Simplified to (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 50.565 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 50.565 * * * * [progress]: [ 220 / 267 ] simplifiying candidate # 50.565 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 50.565 * * [simplify]: iters left: 6 (11 enodes) 50.568 * * [simplify]: iters left: 5 (37 enodes) 50.574 * * [simplify]: iters left: 4 (39 enodes) 50.580 * * [simplify]: Extracting #0: cost 1 inf + 0 50.580 * * [simplify]: Extracting #1: cost 4 inf + 0 50.580 * * [simplify]: Extracting #2: cost 5 inf + 1 50.580 * * [simplify]: Extracting #3: cost 7 inf + 1 50.580 * * [simplify]: Extracting #4: cost 9 inf + 1 50.580 * * [simplify]: Extracting #5: cost 11 inf + 1 50.580 * * [simplify]: Extracting #6: cost 14 inf + 1 50.580 * * [simplify]: Extracting #7: cost 15 inf + 2 50.580 * * [simplify]: Extracting #8: cost 17 inf + 2 50.580 * * [simplify]: Extracting #9: cost 15 inf + 60 50.580 * * [simplify]: Extracting #10: cost 12 inf + 353 50.581 * * [simplify]: Extracting #11: cost 7 inf + 1163 50.581 * * [simplify]: Extracting #12: cost 3 inf + 2195 50.581 * * [simplify]: Extracting #13: cost 0 inf + 3169 50.582 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 50.582 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 50.582 * [simplify]: Simplifying (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 50.582 * * [simplify]: iters left: 6 (13 enodes) 50.586 * * [simplify]: iters left: 5 (45 enodes) 50.596 * * [simplify]: iters left: 4 (52 enodes) 50.612 * * [simplify]: iters left: 3 (59 enodes) 50.629 * * [simplify]: iters left: 2 (64 enodes) 50.647 * * [simplify]: Extracting #0: cost 1 inf + 0 50.647 * * [simplify]: Extracting #1: cost 5 inf + 0 50.647 * * [simplify]: Extracting #2: cost 12 inf + 0 50.647 * * [simplify]: Extracting #3: cost 19 inf + 1 50.647 * * [simplify]: Extracting #4: cost 22 inf + 3 50.647 * * [simplify]: Extracting #5: cost 26 inf + 3 50.648 * * [simplify]: Extracting #6: cost 20 inf + 631 50.648 * * [simplify]: Extracting #7: cost 10 inf + 2410 50.650 * * [simplify]: Extracting #8: cost 1 inf + 5492 50.652 * * [simplify]: Extracting #9: cost 0 inf + 5910 50.654 * [simplify]: Simplified to (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 50.654 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 50.654 * * * * [progress]: [ 221 / 267 ] simplifiying candidate # 50.655 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 50.655 * * [simplify]: iters left: 6 (11 enodes) 50.660 * * [simplify]: iters left: 5 (37 enodes) 50.672 * * [simplify]: iters left: 4 (39 enodes) 50.684 * * [simplify]: Extracting #0: cost 1 inf + 0 50.684 * * [simplify]: Extracting #1: cost 4 inf + 0 50.684 * * [simplify]: Extracting #2: cost 5 inf + 1 50.684 * * [simplify]: Extracting #3: cost 7 inf + 1 50.684 * * [simplify]: Extracting #4: cost 9 inf + 1 50.684 * * [simplify]: Extracting #5: cost 11 inf + 1 50.684 * * [simplify]: Extracting #6: cost 14 inf + 1 50.684 * * [simplify]: Extracting #7: cost 15 inf + 2 50.684 * * [simplify]: Extracting #8: cost 17 inf + 2 50.684 * * [simplify]: Extracting #9: cost 15 inf + 60 50.685 * * [simplify]: Extracting #10: cost 12 inf + 353 50.685 * * [simplify]: Extracting #11: cost 7 inf + 1163 50.686 * * [simplify]: Extracting #12: cost 3 inf + 2195 50.686 * * [simplify]: Extracting #13: cost 0 inf + 3169 50.687 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 50.687 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 50.688 * [simplify]: Simplifying (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 50.688 * * [simplify]: iters left: 6 (13 enodes) 50.694 * * [simplify]: iters left: 5 (45 enodes) 50.708 * * [simplify]: iters left: 4 (52 enodes) 50.723 * * [simplify]: iters left: 3 (59 enodes) 50.739 * * [simplify]: iters left: 2 (64 enodes) 50.751 * * [simplify]: Extracting #0: cost 1 inf + 0 50.751 * * [simplify]: Extracting #1: cost 5 inf + 0 50.752 * * [simplify]: Extracting #2: cost 12 inf + 0 50.752 * * [simplify]: Extracting #3: cost 19 inf + 1 50.752 * * [simplify]: Extracting #4: cost 22 inf + 3 50.752 * * [simplify]: Extracting #5: cost 26 inf + 3 50.752 * * [simplify]: Extracting #6: cost 20 inf + 631 50.752 * * [simplify]: Extracting #7: cost 10 inf + 2410 50.753 * * [simplify]: Extracting #8: cost 1 inf + 5492 50.754 * * [simplify]: Extracting #9: cost 0 inf + 5910 50.755 * [simplify]: Simplified to (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 50.755 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 50.755 * * * * [progress]: [ 222 / 267 ] simplifiying candidate # 50.756 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 50.756 * * [simplify]: iters left: 6 (11 enodes) 50.758 * * [simplify]: iters left: 5 (37 enodes) 50.764 * * [simplify]: iters left: 4 (39 enodes) 50.770 * * [simplify]: Extracting #0: cost 1 inf + 0 50.770 * * [simplify]: Extracting #1: cost 4 inf + 0 50.770 * * [simplify]: Extracting #2: cost 5 inf + 1 50.770 * * [simplify]: Extracting #3: cost 7 inf + 1 50.770 * * [simplify]: Extracting #4: cost 9 inf + 1 50.770 * * [simplify]: Extracting #5: cost 11 inf + 1 50.770 * * [simplify]: Extracting #6: cost 14 inf + 1 50.771 * * [simplify]: Extracting #7: cost 15 inf + 2 50.771 * * [simplify]: Extracting #8: cost 17 inf + 2 50.771 * * [simplify]: Extracting #9: cost 15 inf + 60 50.771 * * [simplify]: Extracting #10: cost 12 inf + 353 50.771 * * [simplify]: Extracting #11: cost 7 inf + 1163 50.771 * * [simplify]: Extracting #12: cost 3 inf + 2195 50.772 * * [simplify]: Extracting #13: cost 0 inf + 3169 50.772 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 50.772 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 50.773 * [simplify]: Simplifying (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 50.773 * * [simplify]: iters left: 6 (13 enodes) 50.776 * * [simplify]: iters left: 5 (45 enodes) 50.784 * * [simplify]: iters left: 4 (52 enodes) 50.799 * * [simplify]: iters left: 3 (59 enodes) 50.815 * * [simplify]: iters left: 2 (64 enodes) 50.833 * * [simplify]: Extracting #0: cost 1 inf + 0 50.833 * * [simplify]: Extracting #1: cost 5 inf + 0 50.833 * * [simplify]: Extracting #2: cost 12 inf + 0 50.833 * * [simplify]: Extracting #3: cost 19 inf + 1 50.833 * * [simplify]: Extracting #4: cost 22 inf + 3 50.833 * * [simplify]: Extracting #5: cost 26 inf + 3 50.834 * * [simplify]: Extracting #6: cost 20 inf + 631 50.835 * * [simplify]: Extracting #7: cost 10 inf + 2410 50.836 * * [simplify]: Extracting #8: cost 1 inf + 5492 50.838 * * [simplify]: Extracting #9: cost 0 inf + 5910 50.841 * [simplify]: Simplified to (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 50.841 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 50.841 * * * * [progress]: [ 223 / 267 ] simplifiying candidate # 50.841 * [simplify]: Simplifying (/ 1 (sqrt 1)) 50.841 * * [simplify]: iters left: 3 (3 enodes) 50.847 * * [simplify]: iters left: 2 (11 enodes) 50.850 * * [simplify]: iters left: 1 (13 enodes) 50.854 * * [simplify]: Extracting #0: cost 1 inf + 0 50.854 * * [simplify]: Extracting #1: cost 0 inf + 1 50.854 * [simplify]: Simplified to 1 50.854 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 50.854 * [simplify]: Simplifying (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 50.855 * * [simplify]: iters left: 6 (12 enodes) 50.861 * * [simplify]: iters left: 5 (42 enodes) 50.874 * * [simplify]: iters left: 4 (49 enodes) 50.890 * * [simplify]: iters left: 3 (56 enodes) 50.899 * * [simplify]: iters left: 2 (61 enodes) 50.908 * * [simplify]: Extracting #0: cost 1 inf + 0 50.908 * * [simplify]: Extracting #1: cost 5 inf + 0 50.908 * * [simplify]: Extracting #2: cost 12 inf + 0 50.908 * * [simplify]: Extracting #3: cost 19 inf + 1 50.908 * * [simplify]: Extracting #4: cost 22 inf + 3 50.908 * * [simplify]: Extracting #5: cost 25 inf + 3 50.908 * * [simplify]: Extracting #6: cost 19 inf + 492 50.908 * * [simplify]: Extracting #7: cost 8 inf + 2570 50.909 * * [simplify]: Extracting #8: cost 2 inf + 4278 50.910 * * [simplify]: Extracting #9: cost 0 inf + 4994 50.911 * [simplify]: Simplified to (- (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 50.911 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (- (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 50.911 * * * * [progress]: [ 224 / 267 ] simplifiying candidate # 50.911 * [simplify]: Simplifying (/ 1 (sqrt 1)) 50.911 * * [simplify]: iters left: 3 (3 enodes) 50.915 * * [simplify]: iters left: 2 (11 enodes) 50.917 * * [simplify]: iters left: 1 (13 enodes) 50.919 * * [simplify]: Extracting #0: cost 1 inf + 0 50.919 * * [simplify]: Extracting #1: cost 0 inf + 1 50.919 * [simplify]: Simplified to 1 50.919 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 50.919 * [simplify]: Simplifying (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 50.919 * * [simplify]: iters left: 6 (12 enodes) 50.925 * * [simplify]: iters left: 5 (42 enodes) 50.938 * * [simplify]: iters left: 4 (49 enodes) 50.953 * * [simplify]: iters left: 3 (56 enodes) 50.969 * * [simplify]: iters left: 2 (61 enodes) 50.981 * * [simplify]: Extracting #0: cost 1 inf + 0 50.981 * * [simplify]: Extracting #1: cost 5 inf + 0 50.981 * * [simplify]: Extracting #2: cost 12 inf + 0 50.981 * * [simplify]: Extracting #3: cost 19 inf + 1 50.981 * * [simplify]: Extracting #4: cost 22 inf + 3 50.981 * * [simplify]: Extracting #5: cost 25 inf + 3 50.982 * * [simplify]: Extracting #6: cost 19 inf + 492 50.982 * * [simplify]: Extracting #7: cost 8 inf + 2570 50.983 * * [simplify]: Extracting #8: cost 2 inf + 4278 50.984 * * [simplify]: Extracting #9: cost 0 inf + 4994 50.985 * [simplify]: Simplified to (- (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 50.985 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (- (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 50.985 * * * * [progress]: [ 225 / 267 ] simplifiying candidate # 50.985 * [simplify]: Simplifying (/ 1 (sqrt 1)) 50.985 * * [simplify]: iters left: 3 (3 enodes) 50.989 * * [simplify]: iters left: 2 (11 enodes) 50.991 * * [simplify]: iters left: 1 (13 enodes) 50.993 * * [simplify]: Extracting #0: cost 1 inf + 0 50.993 * * [simplify]: Extracting #1: cost 0 inf + 1 50.993 * [simplify]: Simplified to 1 50.993 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 50.993 * [simplify]: Simplifying (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 50.993 * * [simplify]: iters left: 6 (12 enodes) 51.000 * * [simplify]: iters left: 5 (42 enodes) 51.007 * * [simplify]: iters left: 4 (49 enodes) 51.014 * * [simplify]: iters left: 3 (56 enodes) 51.030 * * [simplify]: iters left: 2 (61 enodes) 51.047 * * [simplify]: Extracting #0: cost 1 inf + 0 51.047 * * [simplify]: Extracting #1: cost 5 inf + 0 51.047 * * [simplify]: Extracting #2: cost 12 inf + 0 51.048 * * [simplify]: Extracting #3: cost 19 inf + 1 51.048 * * [simplify]: Extracting #4: cost 22 inf + 3 51.048 * * [simplify]: Extracting #5: cost 25 inf + 3 51.048 * * [simplify]: Extracting #6: cost 19 inf + 492 51.049 * * [simplify]: Extracting #7: cost 8 inf + 2570 51.050 * * [simplify]: Extracting #8: cost 2 inf + 4278 51.052 * * [simplify]: Extracting #9: cost 0 inf + 4994 51.054 * [simplify]: Simplified to (- (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 51.054 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (- (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 51.054 * * * * [progress]: [ 226 / 267 ] simplifiying candidate # 51.054 * [simplify]: Simplifying (/ 1 (sqrt 1)) 51.054 * * [simplify]: iters left: 3 (3 enodes) 51.061 * * [simplify]: iters left: 2 (11 enodes) 51.064 * * [simplify]: iters left: 1 (13 enodes) 51.067 * * [simplify]: Extracting #0: cost 1 inf + 0 51.067 * * [simplify]: Extracting #1: cost 0 inf + 1 51.067 * [simplify]: Simplified to 1 51.067 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 51.067 * [simplify]: Simplifying (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 51.068 * * [simplify]: iters left: 6 (12 enodes) 51.073 * * [simplify]: iters left: 5 (42 enodes) 51.086 * * [simplify]: iters left: 4 (49 enodes) 51.099 * * [simplify]: iters left: 3 (56 enodes) 51.107 * * [simplify]: iters left: 2 (61 enodes) 51.116 * * [simplify]: Extracting #0: cost 1 inf + 0 51.116 * * [simplify]: Extracting #1: cost 5 inf + 0 51.117 * * [simplify]: Extracting #2: cost 12 inf + 0 51.117 * * [simplify]: Extracting #3: cost 19 inf + 1 51.117 * * [simplify]: Extracting #4: cost 22 inf + 3 51.117 * * [simplify]: Extracting #5: cost 25 inf + 3 51.117 * * [simplify]: Extracting #6: cost 19 inf + 492 51.117 * * [simplify]: Extracting #7: cost 8 inf + 2570 51.118 * * [simplify]: Extracting #8: cost 2 inf + 4278 51.119 * * [simplify]: Extracting #9: cost 0 inf + 4994 51.120 * [simplify]: Simplified to (- (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 51.120 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (- (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 51.120 * * * * [progress]: [ 227 / 267 ] simplifiying candidate # 51.120 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 1))) 51.120 * * [simplify]: iters left: 4 (4 enodes) 51.122 * * [simplify]: iters left: 3 (14 enodes) 51.128 * * [simplify]: iters left: 2 (16 enodes) 51.132 * * [simplify]: Extracting #0: cost 1 inf + 0 51.132 * * [simplify]: Extracting #1: cost 0 inf + 1 51.132 * [simplify]: Simplified to 1 51.132 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (- (/ 1 (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 51.133 * [simplify]: Simplifying (- (/ 1 (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 51.133 * * [simplify]: iters left: 6 (13 enodes) 51.140 * * [simplify]: iters left: 5 (45 enodes) 51.153 * * [simplify]: iters left: 4 (52 enodes) 51.162 * * [simplify]: iters left: 3 (59 enodes) 51.171 * * [simplify]: iters left: 2 (64 enodes) 51.180 * * [simplify]: Extracting #0: cost 1 inf + 0 51.180 * * [simplify]: Extracting #1: cost 5 inf + 0 51.180 * * [simplify]: Extracting #2: cost 12 inf + 0 51.180 * * [simplify]: Extracting #3: cost 19 inf + 1 51.180 * * [simplify]: Extracting #4: cost 22 inf + 3 51.180 * * [simplify]: Extracting #5: cost 25 inf + 3 51.181 * * [simplify]: Extracting #6: cost 22 inf + 159 51.181 * * [simplify]: Extracting #7: cost 11 inf + 1756 51.182 * * [simplify]: Extracting #8: cost 1 inf + 4616 51.183 * * [simplify]: Extracting #9: cost 0 inf + 4994 51.184 * [simplify]: Simplified to (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 51.184 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 51.184 * * * * [progress]: [ 228 / 267 ] simplifiying candidate # 51.184 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 1))) 51.184 * * [simplify]: iters left: 4 (4 enodes) 51.188 * * [simplify]: iters left: 3 (14 enodes) 51.192 * * [simplify]: iters left: 2 (16 enodes) 51.196 * * [simplify]: Extracting #0: cost 1 inf + 0 51.196 * * [simplify]: Extracting #1: cost 0 inf + 1 51.196 * [simplify]: Simplified to 1 51.196 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (- (/ 1 (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 51.197 * [simplify]: Simplifying (- (/ 1 (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 51.197 * * [simplify]: iters left: 6 (13 enodes) 51.204 * * [simplify]: iters left: 5 (45 enodes) 51.218 * * [simplify]: iters left: 4 (52 enodes) 51.233 * * [simplify]: iters left: 3 (59 enodes) 51.250 * * [simplify]: iters left: 2 (64 enodes) 51.273 * * [simplify]: Extracting #0: cost 1 inf + 0 51.273 * * [simplify]: Extracting #1: cost 5 inf + 0 51.273 * * [simplify]: Extracting #2: cost 12 inf + 0 51.273 * * [simplify]: Extracting #3: cost 19 inf + 1 51.273 * * [simplify]: Extracting #4: cost 22 inf + 3 51.273 * * [simplify]: Extracting #5: cost 25 inf + 3 51.273 * * [simplify]: Extracting #6: cost 22 inf + 159 51.274 * * [simplify]: Extracting #7: cost 11 inf + 1756 51.275 * * [simplify]: Extracting #8: cost 1 inf + 4616 51.277 * * [simplify]: Extracting #9: cost 0 inf + 4994 51.279 * [simplify]: Simplified to (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 51.279 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 51.280 * * * * [progress]: [ 229 / 267 ] simplifiying candidate # 51.280 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 1))) 51.280 * * [simplify]: iters left: 4 (4 enodes) 51.283 * * [simplify]: iters left: 3 (14 enodes) 51.287 * * [simplify]: iters left: 2 (16 enodes) 51.291 * * [simplify]: Extracting #0: cost 1 inf + 0 51.291 * * [simplify]: Extracting #1: cost 0 inf + 1 51.291 * [simplify]: Simplified to 1 51.292 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (- (/ 1 (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 51.292 * [simplify]: Simplifying (- (/ 1 (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 51.292 * * [simplify]: iters left: 6 (13 enodes) 51.299 * * [simplify]: iters left: 5 (45 enodes) 51.313 * * [simplify]: iters left: 4 (52 enodes) 51.326 * * [simplify]: iters left: 3 (59 enodes) 51.335 * * [simplify]: iters left: 2 (64 enodes) 51.345 * * [simplify]: Extracting #0: cost 1 inf + 0 51.345 * * [simplify]: Extracting #1: cost 5 inf + 0 51.345 * * [simplify]: Extracting #2: cost 12 inf + 0 51.345 * * [simplify]: Extracting #3: cost 19 inf + 1 51.345 * * [simplify]: Extracting #4: cost 22 inf + 3 51.345 * * [simplify]: Extracting #5: cost 25 inf + 3 51.345 * * [simplify]: Extracting #6: cost 22 inf + 159 51.345 * * [simplify]: Extracting #7: cost 11 inf + 1756 51.346 * * [simplify]: Extracting #8: cost 1 inf + 4616 51.347 * * [simplify]: Extracting #9: cost 0 inf + 4994 51.348 * [simplify]: Simplified to (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 51.348 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 51.348 * * * * [progress]: [ 230 / 267 ] simplifiying candidate # 51.349 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 1))) 51.349 * * [simplify]: iters left: 4 (4 enodes) 51.351 * * [simplify]: iters left: 3 (14 enodes) 51.353 * * [simplify]: iters left: 2 (16 enodes) 51.355 * * [simplify]: Extracting #0: cost 1 inf + 0 51.355 * * [simplify]: Extracting #1: cost 0 inf + 1 51.355 * [simplify]: Simplified to 1 51.355 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (- (/ 1 (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 51.356 * [simplify]: Simplifying (- (/ 1 (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 51.356 * * [simplify]: iters left: 6 (13 enodes) 51.359 * * [simplify]: iters left: 5 (45 enodes) 51.367 * * [simplify]: iters left: 4 (52 enodes) 51.375 * * [simplify]: iters left: 3 (59 enodes) 51.387 * * [simplify]: iters left: 2 (64 enodes) 51.397 * * [simplify]: Extracting #0: cost 1 inf + 0 51.397 * * [simplify]: Extracting #1: cost 5 inf + 0 51.397 * * [simplify]: Extracting #2: cost 12 inf + 0 51.397 * * [simplify]: Extracting #3: cost 19 inf + 1 51.397 * * [simplify]: Extracting #4: cost 22 inf + 3 51.398 * * [simplify]: Extracting #5: cost 25 inf + 3 51.398 * * [simplify]: Extracting #6: cost 22 inf + 159 51.398 * * [simplify]: Extracting #7: cost 11 inf + 1756 51.400 * * [simplify]: Extracting #8: cost 1 inf + 4616 51.402 * * [simplify]: Extracting #9: cost 0 inf + 4994 51.403 * [simplify]: Simplified to (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 51.403 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 51.404 * * * * [progress]: [ 231 / 267 ] simplifiying candidate # 51.404 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 1))) 51.404 * * [simplify]: iters left: 4 (4 enodes) 51.407 * * [simplify]: iters left: 3 (14 enodes) 51.411 * * [simplify]: iters left: 2 (16 enodes) 51.414 * * [simplify]: Extracting #0: cost 1 inf + 0 51.414 * * [simplify]: Extracting #1: cost 0 inf + 1 51.414 * [simplify]: Simplified to 1 51.415 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (- (/ 1 (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 51.415 * [simplify]: Simplifying (- (/ 1 (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 51.415 * * [simplify]: iters left: 6 (13 enodes) 51.422 * * [simplify]: iters left: 5 (45 enodes) 51.435 * * [simplify]: iters left: 4 (52 enodes) 51.444 * * [simplify]: iters left: 3 (59 enodes) 51.452 * * [simplify]: iters left: 2 (64 enodes) 51.462 * * [simplify]: Extracting #0: cost 1 inf + 0 51.462 * * [simplify]: Extracting #1: cost 5 inf + 0 51.462 * * [simplify]: Extracting #2: cost 12 inf + 0 51.462 * * [simplify]: Extracting #3: cost 19 inf + 1 51.462 * * [simplify]: Extracting #4: cost 22 inf + 3 51.462 * * [simplify]: Extracting #5: cost 25 inf + 3 51.462 * * [simplify]: Extracting #6: cost 22 inf + 159 51.463 * * [simplify]: Extracting #7: cost 11 inf + 1756 51.463 * * [simplify]: Extracting #8: cost 1 inf + 4616 51.464 * * [simplify]: Extracting #9: cost 0 inf + 4994 51.465 * [simplify]: Simplified to (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 51.465 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 51.465 * * * * [progress]: [ 232 / 267 ] simplifiying candidate # 51.466 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 1))) 51.466 * * [simplify]: iters left: 4 (4 enodes) 51.468 * * [simplify]: iters left: 3 (14 enodes) 51.471 * * [simplify]: iters left: 2 (16 enodes) 51.475 * * [simplify]: Extracting #0: cost 1 inf + 0 51.475 * * [simplify]: Extracting #1: cost 0 inf + 1 51.475 * [simplify]: Simplified to 1 51.475 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (- (/ 1 (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 51.476 * [simplify]: Simplifying (- (/ 1 (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 51.476 * * [simplify]: iters left: 6 (13 enodes) 51.479 * * [simplify]: iters left: 5 (45 enodes) 51.486 * * [simplify]: iters left: 4 (52 enodes) 51.497 * * [simplify]: iters left: 3 (59 enodes) 51.510 * * [simplify]: iters left: 2 (64 enodes) 51.528 * * [simplify]: Extracting #0: cost 1 inf + 0 51.528 * * [simplify]: Extracting #1: cost 5 inf + 0 51.528 * * [simplify]: Extracting #2: cost 12 inf + 0 51.528 * * [simplify]: Extracting #3: cost 19 inf + 1 51.529 * * [simplify]: Extracting #4: cost 22 inf + 3 51.529 * * [simplify]: Extracting #5: cost 25 inf + 3 51.529 * * [simplify]: Extracting #6: cost 22 inf + 159 51.529 * * [simplify]: Extracting #7: cost 11 inf + 1756 51.531 * * [simplify]: Extracting #8: cost 1 inf + 4616 51.533 * * [simplify]: Extracting #9: cost 0 inf + 4994 51.534 * [simplify]: Simplified to (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 51.534 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 51.535 * * * * [progress]: [ 233 / 267 ] simplifiying candidate # 51.535 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 1))) 51.535 * * [simplify]: iters left: 4 (4 enodes) 51.539 * * [simplify]: iters left: 3 (14 enodes) 51.542 * * [simplify]: iters left: 2 (16 enodes) 51.546 * * [simplify]: Extracting #0: cost 1 inf + 0 51.546 * * [simplify]: Extracting #1: cost 0 inf + 1 51.546 * [simplify]: Simplified to 1 51.546 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (- (/ 1 (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 51.546 * [simplify]: Simplifying (- (/ 1 (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 51.546 * * [simplify]: iters left: 6 (13 enodes) 51.554 * * [simplify]: iters left: 5 (45 enodes) 51.566 * * [simplify]: iters left: 4 (52 enodes) 51.574 * * [simplify]: iters left: 3 (59 enodes) 51.583 * * [simplify]: iters left: 2 (64 enodes) 51.592 * * [simplify]: Extracting #0: cost 1 inf + 0 51.592 * * [simplify]: Extracting #1: cost 5 inf + 0 51.592 * * [simplify]: Extracting #2: cost 12 inf + 0 51.592 * * [simplify]: Extracting #3: cost 19 inf + 1 51.592 * * [simplify]: Extracting #4: cost 22 inf + 3 51.592 * * [simplify]: Extracting #5: cost 25 inf + 3 51.592 * * [simplify]: Extracting #6: cost 22 inf + 159 51.593 * * [simplify]: Extracting #7: cost 11 inf + 1756 51.593 * * [simplify]: Extracting #8: cost 1 inf + 4616 51.594 * * [simplify]: Extracting #9: cost 0 inf + 4994 51.595 * [simplify]: Simplified to (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 51.595 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 51.595 * * * * [progress]: [ 234 / 267 ] simplifiying candidate # 51.596 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 1))) 51.596 * * [simplify]: iters left: 4 (4 enodes) 51.598 * * [simplify]: iters left: 3 (14 enodes) 51.600 * * [simplify]: iters left: 2 (16 enodes) 51.603 * * [simplify]: Extracting #0: cost 1 inf + 0 51.603 * * [simplify]: Extracting #1: cost 0 inf + 1 51.603 * [simplify]: Simplified to 1 51.603 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (- (/ 1 (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 51.604 * [simplify]: Simplifying (- (/ 1 (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 51.604 * * [simplify]: iters left: 6 (13 enodes) 51.611 * * [simplify]: iters left: 5 (45 enodes) 51.628 * * [simplify]: iters left: 4 (52 enodes) 51.638 * * [simplify]: iters left: 3 (59 enodes) 51.647 * * [simplify]: iters left: 2 (64 enodes) 51.656 * * [simplify]: Extracting #0: cost 1 inf + 0 51.656 * * [simplify]: Extracting #1: cost 5 inf + 0 51.656 * * [simplify]: Extracting #2: cost 12 inf + 0 51.656 * * [simplify]: Extracting #3: cost 19 inf + 1 51.656 * * [simplify]: Extracting #4: cost 22 inf + 3 51.656 * * [simplify]: Extracting #5: cost 25 inf + 3 51.656 * * [simplify]: Extracting #6: cost 22 inf + 159 51.656 * * [simplify]: Extracting #7: cost 11 inf + 1756 51.657 * * [simplify]: Extracting #8: cost 1 inf + 4616 51.658 * * [simplify]: Extracting #9: cost 0 inf + 4994 51.659 * [simplify]: Simplified to (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 51.659 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 51.659 * * * * [progress]: [ 235 / 267 ] simplifiying candidate # 51.659 * [simplify]: Simplifying (/ 1 (sqrt 1)) 51.659 * * [simplify]: iters left: 3 (3 enodes) 51.663 * * [simplify]: iters left: 2 (11 enodes) 51.665 * * [simplify]: iters left: 1 (13 enodes) 51.667 * * [simplify]: Extracting #0: cost 1 inf + 0 51.667 * * [simplify]: Extracting #1: cost 0 inf + 1 51.667 * [simplify]: Simplified to 1 51.667 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 51.667 * [simplify]: Simplifying (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 51.667 * * [simplify]: iters left: 6 (12 enodes) 51.673 * * [simplify]: iters left: 5 (42 enodes) 51.686 * * [simplify]: iters left: 4 (49 enodes) 51.701 * * [simplify]: iters left: 3 (56 enodes) 51.716 * * [simplify]: iters left: 2 (61 enodes) 51.733 * * [simplify]: Extracting #0: cost 1 inf + 0 51.733 * * [simplify]: Extracting #1: cost 5 inf + 0 51.734 * * [simplify]: Extracting #2: cost 12 inf + 0 51.734 * * [simplify]: Extracting #3: cost 19 inf + 1 51.734 * * [simplify]: Extracting #4: cost 22 inf + 3 51.734 * * [simplify]: Extracting #5: cost 25 inf + 3 51.734 * * [simplify]: Extracting #6: cost 19 inf + 492 51.735 * * [simplify]: Extracting #7: cost 8 inf + 2570 51.736 * * [simplify]: Extracting #8: cost 2 inf + 4278 51.738 * * [simplify]: Extracting #9: cost 0 inf + 4994 51.740 * [simplify]: Simplified to (- (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 51.740 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (- (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 51.741 * * * * [progress]: [ 236 / 267 ] simplifiying candidate # 51.741 * [simplify]: Simplifying (/ 1 (sqrt 1)) 51.741 * * [simplify]: iters left: 3 (3 enodes) 51.747 * * [simplify]: iters left: 2 (11 enodes) 51.749 * * [simplify]: iters left: 1 (13 enodes) 51.754 * * [simplify]: Extracting #0: cost 1 inf + 0 51.754 * * [simplify]: Extracting #1: cost 0 inf + 1 51.754 * [simplify]: Simplified to 1 51.754 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 51.754 * [simplify]: Simplifying (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 51.754 * * [simplify]: iters left: 6 (12 enodes) 51.757 * * [simplify]: iters left: 5 (42 enodes) 51.764 * * [simplify]: iters left: 4 (49 enodes) 51.771 * * [simplify]: iters left: 3 (56 enodes) 51.783 * * [simplify]: iters left: 2 (61 enodes) 51.801 * * [simplify]: Extracting #0: cost 1 inf + 0 51.801 * * [simplify]: Extracting #1: cost 5 inf + 0 51.801 * * [simplify]: Extracting #2: cost 12 inf + 0 51.801 * * [simplify]: Extracting #3: cost 19 inf + 1 51.801 * * [simplify]: Extracting #4: cost 22 inf + 3 51.801 * * [simplify]: Extracting #5: cost 25 inf + 3 51.801 * * [simplify]: Extracting #6: cost 19 inf + 492 51.802 * * [simplify]: Extracting #7: cost 8 inf + 2570 51.804 * * [simplify]: Extracting #8: cost 2 inf + 4278 51.805 * * [simplify]: Extracting #9: cost 0 inf + 4994 51.807 * [simplify]: Simplified to (- (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 51.807 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (- (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 51.807 * * * * [progress]: [ 237 / 267 ] simplifiying candidate # 51.808 * [simplify]: Simplifying (/ 1 (sqrt 1)) 51.808 * * [simplify]: iters left: 3 (3 enodes) 51.811 * * [simplify]: iters left: 2 (11 enodes) 51.813 * * [simplify]: iters left: 1 (13 enodes) 51.815 * * [simplify]: Extracting #0: cost 1 inf + 0 51.815 * * [simplify]: Extracting #1: cost 0 inf + 1 51.815 * [simplify]: Simplified to 1 51.815 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 51.815 * [simplify]: Simplifying (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 51.815 * * [simplify]: iters left: 6 (12 enodes) 51.818 * * [simplify]: iters left: 5 (42 enodes) 51.825 * * [simplify]: iters left: 4 (49 enodes) 51.833 * * [simplify]: iters left: 3 (56 enodes) 51.846 * * [simplify]: iters left: 2 (61 enodes) 51.863 * * [simplify]: Extracting #0: cost 1 inf + 0 51.863 * * [simplify]: Extracting #1: cost 5 inf + 0 51.863 * * [simplify]: Extracting #2: cost 12 inf + 0 51.863 * * [simplify]: Extracting #3: cost 19 inf + 1 51.863 * * [simplify]: Extracting #4: cost 22 inf + 3 51.863 * * [simplify]: Extracting #5: cost 25 inf + 3 51.864 * * [simplify]: Extracting #6: cost 19 inf + 492 51.864 * * [simplify]: Extracting #7: cost 8 inf + 2570 51.866 * * [simplify]: Extracting #8: cost 2 inf + 4278 51.871 * * [simplify]: Extracting #9: cost 0 inf + 4994 51.873 * [simplify]: Simplified to (- (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 51.873 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (- (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 51.873 * * * * [progress]: [ 238 / 267 ] simplifiying candidate # 51.873 * [simplify]: Simplifying (/ 1 (sqrt 1)) 51.873 * * [simplify]: iters left: 3 (3 enodes) 51.880 * * [simplify]: iters left: 2 (11 enodes) 51.883 * * [simplify]: iters left: 1 (13 enodes) 51.886 * * [simplify]: Extracting #0: cost 1 inf + 0 51.886 * * [simplify]: Extracting #1: cost 0 inf + 1 51.886 * [simplify]: Simplified to 1 51.886 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 51.887 * [simplify]: Simplifying (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 51.887 * * [simplify]: iters left: 6 (12 enodes) 51.892 * * [simplify]: iters left: 5 (42 enodes) 51.899 * * [simplify]: iters left: 4 (49 enodes) 51.907 * * [simplify]: iters left: 3 (56 enodes) 51.916 * * [simplify]: iters left: 2 (61 enodes) 51.925 * * [simplify]: Extracting #0: cost 1 inf + 0 51.926 * * [simplify]: Extracting #1: cost 5 inf + 0 51.926 * * [simplify]: Extracting #2: cost 12 inf + 0 51.926 * * [simplify]: Extracting #3: cost 19 inf + 1 51.926 * * [simplify]: Extracting #4: cost 22 inf + 3 51.926 * * [simplify]: Extracting #5: cost 25 inf + 3 51.926 * * [simplify]: Extracting #6: cost 19 inf + 492 51.926 * * [simplify]: Extracting #7: cost 8 inf + 2570 51.927 * * [simplify]: Extracting #8: cost 2 inf + 4278 51.928 * * [simplify]: Extracting #9: cost 0 inf + 4994 51.929 * [simplify]: Simplified to (- (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 51.929 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (- (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 51.929 * * * * [progress]: [ 239 / 267 ] simplifiying candidate # 51.929 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 51.929 * * [simplify]: iters left: 6 (11 enodes) 51.933 * * [simplify]: iters left: 5 (37 enodes) 51.944 * * [simplify]: iters left: 4 (39 enodes) 51.955 * * [simplify]: Extracting #0: cost 1 inf + 0 51.955 * * [simplify]: Extracting #1: cost 4 inf + 0 51.955 * * [simplify]: Extracting #2: cost 5 inf + 1 51.955 * * [simplify]: Extracting #3: cost 7 inf + 1 51.955 * * [simplify]: Extracting #4: cost 9 inf + 1 51.956 * * [simplify]: Extracting #5: cost 11 inf + 1 51.956 * * [simplify]: Extracting #6: cost 14 inf + 1 51.956 * * [simplify]: Extracting #7: cost 15 inf + 2 51.956 * * [simplify]: Extracting #8: cost 17 inf + 2 51.956 * * [simplify]: Extracting #9: cost 15 inf + 60 51.956 * * [simplify]: Extracting #10: cost 12 inf + 353 51.956 * * [simplify]: Extracting #11: cost 7 inf + 1163 51.957 * * [simplify]: Extracting #12: cost 3 inf + 2195 51.958 * * [simplify]: Extracting #13: cost 0 inf + 3169 51.959 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 51.959 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 51.959 * [simplify]: Simplifying (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 51.960 * * [simplify]: iters left: 6 (13 enodes) 51.966 * * [simplify]: iters left: 5 (45 enodes) 51.980 * * [simplify]: iters left: 4 (52 enodes) 51.996 * * [simplify]: iters left: 3 (59 enodes) 52.008 * * [simplify]: iters left: 2 (64 enodes) 52.017 * * [simplify]: Extracting #0: cost 1 inf + 0 52.017 * * [simplify]: Extracting #1: cost 5 inf + 0 52.017 * * [simplify]: Extracting #2: cost 12 inf + 0 52.017 * * [simplify]: Extracting #3: cost 19 inf + 1 52.017 * * [simplify]: Extracting #4: cost 22 inf + 3 52.017 * * [simplify]: Extracting #5: cost 26 inf + 3 52.017 * * [simplify]: Extracting #6: cost 20 inf + 631 52.018 * * [simplify]: Extracting #7: cost 10 inf + 2410 52.019 * * [simplify]: Extracting #8: cost 1 inf + 5492 52.020 * * [simplify]: Extracting #9: cost 0 inf + 5910 52.021 * [simplify]: Simplified to (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 52.021 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 52.021 * * * * [progress]: [ 240 / 267 ] simplifiying candidate # 52.021 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 52.021 * * [simplify]: iters left: 6 (11 enodes) 52.025 * * [simplify]: iters left: 5 (37 enodes) 52.036 * * [simplify]: iters left: 4 (39 enodes) 52.047 * * [simplify]: Extracting #0: cost 1 inf + 0 52.047 * * [simplify]: Extracting #1: cost 4 inf + 0 52.047 * * [simplify]: Extracting #2: cost 5 inf + 1 52.047 * * [simplify]: Extracting #3: cost 7 inf + 1 52.047 * * [simplify]: Extracting #4: cost 9 inf + 1 52.047 * * [simplify]: Extracting #5: cost 11 inf + 1 52.048 * * [simplify]: Extracting #6: cost 14 inf + 1 52.048 * * [simplify]: Extracting #7: cost 15 inf + 2 52.048 * * [simplify]: Extracting #8: cost 17 inf + 2 52.048 * * [simplify]: Extracting #9: cost 15 inf + 60 52.048 * * [simplify]: Extracting #10: cost 12 inf + 353 52.048 * * [simplify]: Extracting #11: cost 7 inf + 1163 52.049 * * [simplify]: Extracting #12: cost 3 inf + 2195 52.050 * * [simplify]: Extracting #13: cost 0 inf + 3169 52.051 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 52.051 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 52.052 * [simplify]: Simplifying (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 52.052 * * [simplify]: iters left: 6 (13 enodes) 52.058 * * [simplify]: iters left: 5 (45 enodes) 52.073 * * [simplify]: iters left: 4 (52 enodes) 52.089 * * [simplify]: iters left: 3 (59 enodes) 52.104 * * [simplify]: iters left: 2 (64 enodes) 52.113 * * [simplify]: Extracting #0: cost 1 inf + 0 52.113 * * [simplify]: Extracting #1: cost 5 inf + 0 52.113 * * [simplify]: Extracting #2: cost 12 inf + 0 52.113 * * [simplify]: Extracting #3: cost 19 inf + 1 52.113 * * [simplify]: Extracting #4: cost 22 inf + 3 52.113 * * [simplify]: Extracting #5: cost 26 inf + 3 52.113 * * [simplify]: Extracting #6: cost 20 inf + 631 52.114 * * [simplify]: Extracting #7: cost 10 inf + 2410 52.115 * * [simplify]: Extracting #8: cost 1 inf + 5492 52.116 * * [simplify]: Extracting #9: cost 0 inf + 5910 52.117 * [simplify]: Simplified to (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 52.117 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 52.117 * * * * [progress]: [ 241 / 267 ] simplifiying candidate # 52.117 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 52.117 * * [simplify]: iters left: 6 (11 enodes) 52.120 * * [simplify]: iters left: 5 (37 enodes) 52.129 * * [simplify]: iters left: 4 (39 enodes) 52.141 * * [simplify]: Extracting #0: cost 1 inf + 0 52.141 * * [simplify]: Extracting #1: cost 4 inf + 0 52.141 * * [simplify]: Extracting #2: cost 5 inf + 1 52.141 * * [simplify]: Extracting #3: cost 7 inf + 1 52.141 * * [simplify]: Extracting #4: cost 9 inf + 1 52.141 * * [simplify]: Extracting #5: cost 11 inf + 1 52.141 * * [simplify]: Extracting #6: cost 14 inf + 1 52.141 * * [simplify]: Extracting #7: cost 15 inf + 2 52.141 * * [simplify]: Extracting #8: cost 17 inf + 2 52.141 * * [simplify]: Extracting #9: cost 15 inf + 60 52.142 * * [simplify]: Extracting #10: cost 12 inf + 353 52.142 * * [simplify]: Extracting #11: cost 7 inf + 1163 52.143 * * [simplify]: Extracting #12: cost 3 inf + 2195 52.144 * * [simplify]: Extracting #13: cost 0 inf + 3169 52.144 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 52.145 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 52.145 * [simplify]: Simplifying (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 52.145 * * [simplify]: iters left: 6 (13 enodes) 52.152 * * [simplify]: iters left: 5 (45 enodes) 52.165 * * [simplify]: iters left: 4 (52 enodes) 52.180 * * [simplify]: iters left: 3 (59 enodes) 52.189 * * [simplify]: iters left: 2 (64 enodes) 52.199 * * [simplify]: Extracting #0: cost 1 inf + 0 52.199 * * [simplify]: Extracting #1: cost 5 inf + 0 52.199 * * [simplify]: Extracting #2: cost 12 inf + 0 52.199 * * [simplify]: Extracting #3: cost 19 inf + 1 52.199 * * [simplify]: Extracting #4: cost 22 inf + 3 52.199 * * [simplify]: Extracting #5: cost 26 inf + 3 52.199 * * [simplify]: Extracting #6: cost 20 inf + 631 52.199 * * [simplify]: Extracting #7: cost 10 inf + 2410 52.200 * * [simplify]: Extracting #8: cost 1 inf + 5492 52.201 * * [simplify]: Extracting #9: cost 0 inf + 5910 52.203 * [simplify]: Simplified to (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 52.203 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 52.203 * * * * [progress]: [ 242 / 267 ] simplifiying candidate # 52.203 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 52.203 * * [simplify]: iters left: 6 (11 enodes) 52.206 * * [simplify]: iters left: 5 (37 enodes) 52.213 * * [simplify]: iters left: 4 (39 enodes) 52.224 * * [simplify]: Extracting #0: cost 1 inf + 0 52.224 * * [simplify]: Extracting #1: cost 4 inf + 0 52.224 * * [simplify]: Extracting #2: cost 5 inf + 1 52.224 * * [simplify]: Extracting #3: cost 7 inf + 1 52.224 * * [simplify]: Extracting #4: cost 9 inf + 1 52.224 * * [simplify]: Extracting #5: cost 11 inf + 1 52.224 * * [simplify]: Extracting #6: cost 14 inf + 1 52.224 * * [simplify]: Extracting #7: cost 15 inf + 2 52.224 * * [simplify]: Extracting #8: cost 17 inf + 2 52.225 * * [simplify]: Extracting #9: cost 15 inf + 60 52.225 * * [simplify]: Extracting #10: cost 12 inf + 353 52.225 * * [simplify]: Extracting #11: cost 7 inf + 1163 52.226 * * [simplify]: Extracting #12: cost 3 inf + 2195 52.227 * * [simplify]: Extracting #13: cost 0 inf + 3169 52.228 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 52.228 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))))) 52.228 * [simplify]: Simplifying (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 52.228 * * [simplify]: iters left: 6 (13 enodes) 52.235 * * [simplify]: iters left: 5 (45 enodes) 52.249 * * [simplify]: iters left: 4 (52 enodes) 52.266 * * [simplify]: iters left: 3 (59 enodes) 52.275 * * [simplify]: iters left: 2 (64 enodes) 52.284 * * [simplify]: Extracting #0: cost 1 inf + 0 52.284 * * [simplify]: Extracting #1: cost 5 inf + 0 52.284 * * [simplify]: Extracting #2: cost 12 inf + 0 52.284 * * [simplify]: Extracting #3: cost 19 inf + 1 52.284 * * [simplify]: Extracting #4: cost 22 inf + 3 52.284 * * [simplify]: Extracting #5: cost 26 inf + 3 52.284 * * [simplify]: Extracting #6: cost 20 inf + 631 52.285 * * [simplify]: Extracting #7: cost 10 inf + 2410 52.286 * * [simplify]: Extracting #8: cost 1 inf + 5492 52.287 * * [simplify]: Extracting #9: cost 0 inf + 5910 52.288 * [simplify]: Simplified to (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 52.288 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (- (/ 1 (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 52.288 * * * * [progress]: [ 243 / 267 ] simplifiying candidate # 52.288 * [simplify]: Simplifying (/ 1 1) 52.288 * * [simplify]: iters left: 2 (2 enodes) 52.289 * * [simplify]: iters left: 1 (6 enodes) 52.290 * * [simplify]: Extracting #0: cost 1 inf + 0 52.290 * * [simplify]: Extracting #1: cost 0 inf + 1 52.290 * [simplify]: Simplified to 1 52.291 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 52.291 * [simplify]: Simplifying (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 52.291 * * [simplify]: iters left: 6 (12 enodes) 52.294 * * [simplify]: iters left: 5 (42 enodes) 52.301 * * [simplify]: iters left: 4 (49 enodes) 52.309 * * [simplify]: iters left: 3 (56 enodes) 52.319 * * [simplify]: iters left: 2 (61 enodes) 52.336 * * [simplify]: Extracting #0: cost 1 inf + 0 52.336 * * [simplify]: Extracting #1: cost 5 inf + 0 52.336 * * [simplify]: Extracting #2: cost 12 inf + 0 52.336 * * [simplify]: Extracting #3: cost 19 inf + 1 52.336 * * [simplify]: Extracting #4: cost 22 inf + 3 52.337 * * [simplify]: Extracting #5: cost 25 inf + 3 52.337 * * [simplify]: Extracting #6: cost 19 inf + 492 52.338 * * [simplify]: Extracting #7: cost 8 inf + 2570 52.339 * * [simplify]: Extracting #8: cost 2 inf + 4278 52.341 * * [simplify]: Extracting #9: cost 0 inf + 4994 52.343 * [simplify]: Simplified to (- (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 52.343 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (- (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 52.343 * * * * [progress]: [ 244 / 267 ] simplifiying candidate # 52.343 * [simplify]: Simplifying (/ 1 1) 52.343 * * [simplify]: iters left: 2 (2 enodes) 52.345 * * [simplify]: iters left: 1 (6 enodes) 52.347 * * [simplify]: Extracting #0: cost 1 inf + 0 52.347 * * [simplify]: Extracting #1: cost 0 inf + 1 52.347 * [simplify]: Simplified to 1 52.347 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (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)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))) 52.348 * [simplify]: Simplifying (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 52.348 * * [simplify]: iters left: 6 (12 enodes) 52.354 * * [simplify]: iters left: 5 (42 enodes) 52.367 * * [simplify]: iters left: 4 (49 enodes) 52.385 * * [simplify]: iters left: 3 (56 enodes) 52.401 * * [simplify]: iters left: 2 (61 enodes) 52.418 * * [simplify]: Extracting #0: cost 1 inf + 0 52.419 * * [simplify]: Extracting #1: cost 5 inf + 0 52.419 * * [simplify]: Extracting #2: cost 12 inf + 0 52.419 * * [simplify]: Extracting #3: cost 19 inf + 1 52.419 * * [simplify]: Extracting #4: cost 22 inf + 3 52.419 * * [simplify]: Extracting #5: cost 25 inf + 3 52.419 * * [simplify]: Extracting #6: cost 19 inf + 492 52.420 * * [simplify]: Extracting #7: cost 8 inf + 2570 52.421 * * [simplify]: Extracting #8: cost 2 inf + 4278 52.423 * * [simplify]: Extracting #9: cost 0 inf + 4994 52.425 * [simplify]: Simplified to (- (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 52.425 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (- (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 52.425 * * * * [progress]: [ 245 / 267 ] simplifiying candidate # 52.426 * [simplify]: Simplifying (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 52.426 * * [simplify]: iters left: 6 (12 enodes) 52.432 * * [simplify]: iters left: 5 (42 enodes) 52.445 * * [simplify]: iters left: 4 (49 enodes) 52.460 * * [simplify]: iters left: 3 (56 enodes) 52.476 * * [simplify]: iters left: 2 (61 enodes) 52.492 * * [simplify]: Extracting #0: cost 1 inf + 0 52.492 * * [simplify]: Extracting #1: cost 5 inf + 0 52.492 * * [simplify]: Extracting #2: cost 12 inf + 0 52.493 * * [simplify]: Extracting #3: cost 19 inf + 1 52.493 * * [simplify]: Extracting #4: cost 22 inf + 3 52.493 * * [simplify]: Extracting #5: cost 25 inf + 3 52.493 * * [simplify]: Extracting #6: cost 19 inf + 492 52.494 * * [simplify]: Extracting #7: cost 8 inf + 2570 52.495 * * [simplify]: Extracting #8: cost 2 inf + 4278 52.497 * * [simplify]: Extracting #9: cost 0 inf + 4994 52.499 * [simplify]: Simplified to (- (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 52.499 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (- (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 52.499 * * * * [progress]: [ 246 / 267 ] simplifiying candidate # 52.499 * [simplify]: Simplifying (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 52.499 * * [simplify]: iters left: 6 (12 enodes) 52.505 * * [simplify]: iters left: 5 (42 enodes) 52.518 * * [simplify]: iters left: 4 (49 enodes) 52.533 * * [simplify]: iters left: 3 (56 enodes) 52.541 * * [simplify]: iters left: 2 (61 enodes) 52.550 * * [simplify]: Extracting #0: cost 1 inf + 0 52.550 * * [simplify]: Extracting #1: cost 5 inf + 0 52.550 * * [simplify]: Extracting #2: cost 12 inf + 0 52.550 * * [simplify]: Extracting #3: cost 19 inf + 1 52.550 * * [simplify]: Extracting #4: cost 22 inf + 3 52.550 * * [simplify]: Extracting #5: cost 25 inf + 3 52.550 * * [simplify]: Extracting #6: cost 19 inf + 492 52.551 * * [simplify]: Extracting #7: cost 8 inf + 2570 52.551 * * [simplify]: Extracting #8: cost 2 inf + 4278 52.552 * * [simplify]: Extracting #9: cost 0 inf + 4994 52.553 * [simplify]: Simplified to (- (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 52.553 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* 1 (- (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))) 52.553 * * * * [progress]: [ 247 / 267 ] simplifiying candidate # 52.554 * [simplify]: Simplifying (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 52.554 * * [simplify]: iters left: 6 (10 enodes) 52.556 * * [simplify]: iters left: 5 (34 enodes) 52.562 * * [simplify]: iters left: 4 (36 enodes) 52.567 * * [simplify]: Extracting #0: cost 1 inf + 0 52.567 * * [simplify]: Extracting #1: cost 4 inf + 0 52.568 * * [simplify]: Extracting #2: cost 5 inf + 1 52.568 * * [simplify]: Extracting #3: cost 7 inf + 1 52.568 * * [simplify]: Extracting #4: cost 9 inf + 1 52.568 * * [simplify]: Extracting #5: cost 12 inf + 1 52.568 * * [simplify]: Extracting #6: cost 13 inf + 2 52.568 * * [simplify]: Extracting #7: cost 15 inf + 2 52.568 * * [simplify]: Extracting #8: cost 13 inf + 60 52.568 * * [simplify]: Extracting #9: cost 9 inf + 451 52.568 * * [simplify]: Extracting #10: cost 4 inf + 1381 52.568 * * [simplify]: Extracting #11: cost 0 inf + 2493 52.569 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 52.569 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- (/ 1 (sqrt 1)) (+ (/ 1/2 (hypot 1 x)) 1/2))))) 52.569 * [simplify]: Simplifying (- (/ 1 (sqrt 1)) (+ (/ 1/2 (hypot 1 x)) 1/2)) 52.569 * * [simplify]: iters left: 6 (9 enodes) 52.572 * * [simplify]: iters left: 5 (34 enodes) 52.580 * * [simplify]: iters left: 4 (54 enodes) 52.594 * * [simplify]: iters left: 3 (68 enodes) 52.609 * * [simplify]: iters left: 2 (80 enodes) 52.619 * * [simplify]: iters left: 1 (87 enodes) 52.630 * * [simplify]: Extracting #0: cost 1 inf + 0 52.630 * * [simplify]: Extracting #1: cost 10 inf + 0 52.630 * * [simplify]: Extracting #2: cost 13 inf + 3 52.631 * * [simplify]: Extracting #3: cost 15 inf + 3 52.631 * * [simplify]: Extracting #4: cost 13 inf + 61 52.631 * * [simplify]: Extracting #5: cost 1 inf + 1476 52.631 * * [simplify]: Extracting #6: cost 0 inf + 1614 52.632 * [simplify]: Simplified to (- (/ -1/2 (hypot 1 x)) -1/2) 52.632 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (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)) -1/2)))) 52.632 * * * * [progress]: [ 248 / 267 ] simplifiying candidate # 52.632 * [simplify]: Simplifying (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 52.632 * * [simplify]: iters left: 6 (10 enodes) 52.635 * * [simplify]: iters left: 5 (34 enodes) 52.640 * * [simplify]: iters left: 4 (36 enodes) 52.646 * * [simplify]: Extracting #0: cost 1 inf + 0 52.646 * * [simplify]: Extracting #1: cost 4 inf + 0 52.646 * * [simplify]: Extracting #2: cost 5 inf + 1 52.646 * * [simplify]: Extracting #3: cost 7 inf + 1 52.646 * * [simplify]: Extracting #4: cost 9 inf + 1 52.646 * * [simplify]: Extracting #5: cost 12 inf + 1 52.646 * * [simplify]: Extracting #6: cost 13 inf + 2 52.646 * * [simplify]: Extracting #7: cost 15 inf + 2 52.646 * * [simplify]: Extracting #8: cost 13 inf + 60 52.646 * * [simplify]: Extracting #9: cost 9 inf + 451 52.646 * * [simplify]: Extracting #10: cost 4 inf + 1381 52.647 * * [simplify]: Extracting #11: cost 0 inf + 2493 52.647 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 52.647 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- (/ 1 (sqrt 1)) (+ (/ 1/2 (hypot 1 x)) 1/2))))) 52.647 * [simplify]: Simplifying (- (/ 1 (sqrt 1)) (+ (/ 1/2 (hypot 1 x)) 1/2)) 52.647 * * [simplify]: iters left: 6 (9 enodes) 52.650 * * [simplify]: iters left: 5 (34 enodes) 52.661 * * [simplify]: iters left: 4 (54 enodes) 52.675 * * [simplify]: iters left: 3 (68 enodes) 52.694 * * [simplify]: iters left: 2 (80 enodes) 52.713 * * [simplify]: iters left: 1 (87 enodes) 52.730 * * [simplify]: Extracting #0: cost 1 inf + 0 52.730 * * [simplify]: Extracting #1: cost 10 inf + 0 52.730 * * [simplify]: Extracting #2: cost 13 inf + 3 52.731 * * [simplify]: Extracting #3: cost 15 inf + 3 52.731 * * [simplify]: Extracting #4: cost 13 inf + 61 52.731 * * [simplify]: Extracting #5: cost 1 inf + 1476 52.732 * * [simplify]: Extracting #6: cost 0 inf + 1614 52.733 * [simplify]: Simplified to (- (/ -1/2 (hypot 1 x)) -1/2) 52.733 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (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)) -1/2)))) 52.733 * * * * [progress]: [ 249 / 267 ] simplifiying candidate # 52.734 * [simplify]: Simplifying (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 52.734 * * [simplify]: iters left: 6 (10 enodes) 52.739 * * [simplify]: iters left: 5 (34 enodes) 52.747 * * [simplify]: iters left: 4 (36 enodes) 52.753 * * [simplify]: Extracting #0: cost 1 inf + 0 52.753 * * [simplify]: Extracting #1: cost 4 inf + 0 52.753 * * [simplify]: Extracting #2: cost 5 inf + 1 52.753 * * [simplify]: Extracting #3: cost 7 inf + 1 52.753 * * [simplify]: Extracting #4: cost 9 inf + 1 52.753 * * [simplify]: Extracting #5: cost 12 inf + 1 52.753 * * [simplify]: Extracting #6: cost 13 inf + 2 52.753 * * [simplify]: Extracting #7: cost 15 inf + 2 52.753 * * [simplify]: Extracting #8: cost 13 inf + 60 52.753 * * [simplify]: Extracting #9: cost 9 inf + 451 52.753 * * [simplify]: Extracting #10: cost 4 inf + 1381 52.754 * * [simplify]: Extracting #11: cost 0 inf + 2493 52.754 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 52.754 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- (/ 1 1) (+ (/ 1/2 (hypot 1 x)) 1/2))))) 52.755 * [simplify]: Simplifying (- (/ 1 1) (+ (/ 1/2 (hypot 1 x)) 1/2)) 52.755 * * [simplify]: iters left: 6 (8 enodes) 52.761 * * [simplify]: iters left: 5 (29 enodes) 52.767 * * [simplify]: iters left: 4 (47 enodes) 52.774 * * [simplify]: iters left: 3 (59 enodes) 52.791 * * [simplify]: iters left: 2 (71 enodes) 52.807 * * [simplify]: iters left: 1 (72 enodes) 52.815 * * [simplify]: Extracting #0: cost 1 inf + 0 52.815 * * [simplify]: Extracting #1: cost 10 inf + 0 52.815 * * [simplify]: Extracting #2: cost 13 inf + 3 52.815 * * [simplify]: Extracting #3: cost 15 inf + 3 52.815 * * [simplify]: Extracting #4: cost 14 inf + 4 52.815 * * [simplify]: Extracting #5: cost 8 inf + 590 52.815 * * [simplify]: Extracting #6: cost 2 inf + 1338 52.816 * * [simplify]: Extracting #7: cost 0 inf + 1614 52.816 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 52.816 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- 1/2 (/ 1/2 (hypot 1 x)))))) 52.816 * * * * [progress]: [ 250 / 267 ] simplifiying candidate # 52.817 * [simplify]: Simplifying (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 52.817 * * [simplify]: iters left: 6 (10 enodes) 52.820 * * [simplify]: iters left: 5 (34 enodes) 52.825 * * [simplify]: iters left: 4 (36 enodes) 52.831 * * [simplify]: Extracting #0: cost 1 inf + 0 52.831 * * [simplify]: Extracting #1: cost 4 inf + 0 52.831 * * [simplify]: Extracting #2: cost 5 inf + 1 52.831 * * [simplify]: Extracting #3: cost 7 inf + 1 52.831 * * [simplify]: Extracting #4: cost 9 inf + 1 52.831 * * [simplify]: Extracting #5: cost 12 inf + 1 52.831 * * [simplify]: Extracting #6: cost 13 inf + 2 52.831 * * [simplify]: Extracting #7: cost 15 inf + 2 52.831 * * [simplify]: Extracting #8: cost 13 inf + 60 52.831 * * [simplify]: Extracting #9: cost 9 inf + 451 52.832 * * [simplify]: Extracting #10: cost 4 inf + 1381 52.832 * * [simplify]: Extracting #11: cost 0 inf + 2493 52.832 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 52.832 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2))))) 52.833 * [simplify]: Simplifying (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2)) 52.833 * * [simplify]: iters left: 6 (7 enodes) 52.835 * * [simplify]: iters left: 5 (28 enodes) 52.844 * * [simplify]: iters left: 4 (44 enodes) 52.857 * * [simplify]: iters left: 3 (56 enodes) 52.872 * * [simplify]: iters left: 2 (69 enodes) 52.887 * * [simplify]: iters left: 1 (72 enodes) 52.895 * * [simplify]: Extracting #0: cost 1 inf + 0 52.895 * * [simplify]: Extracting #1: cost 10 inf + 0 52.895 * * [simplify]: Extracting #2: cost 13 inf + 3 52.895 * * [simplify]: Extracting #3: cost 15 inf + 3 52.896 * * [simplify]: Extracting #4: cost 12 inf + 159 52.896 * * [simplify]: Extracting #5: cost 3 inf + 1240 52.896 * * [simplify]: Extracting #6: cost 0 inf + 1614 52.897 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 52.897 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- 1/2 (/ 1/2 (hypot 1 x)))))) 52.897 * * * * [progress]: [ 251 / 267 ] simplifiying candidate # 52.897 * [simplify]: Simplifying (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 52.897 * * [simplify]: iters left: 6 (10 enodes) 52.900 * * [simplify]: iters left: 5 (34 enodes) 52.905 * * [simplify]: iters left: 4 (36 enodes) 52.911 * * [simplify]: Extracting #0: cost 1 inf + 0 52.911 * * [simplify]: Extracting #1: cost 4 inf + 0 52.911 * * [simplify]: Extracting #2: cost 5 inf + 1 52.911 * * [simplify]: Extracting #3: cost 7 inf + 1 52.911 * * [simplify]: Extracting #4: cost 9 inf + 1 52.911 * * [simplify]: Extracting #5: cost 12 inf + 1 52.911 * * [simplify]: Extracting #6: cost 13 inf + 2 52.911 * * [simplify]: Extracting #7: cost 15 inf + 2 52.911 * * [simplify]: Extracting #8: cost 13 inf + 60 52.911 * * [simplify]: Extracting #9: cost 9 inf + 451 52.911 * * [simplify]: Extracting #10: cost 4 inf + 1381 52.912 * * [simplify]: Extracting #11: cost 0 inf + 2493 52.912 * [simplify]: Simplified to (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 52.912 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2))))) 52.912 * [simplify]: Simplifying (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2)) 52.912 * * [simplify]: iters left: 6 (7 enodes) 52.914 * * [simplify]: iters left: 5 (28 enodes) 52.924 * * [simplify]: iters left: 4 (44 enodes) 52.937 * * [simplify]: iters left: 3 (56 enodes) 52.955 * * [simplify]: iters left: 2 (69 enodes) 52.970 * * [simplify]: iters left: 1 (72 enodes) 52.978 * * [simplify]: Extracting #0: cost 1 inf + 0 52.978 * * [simplify]: Extracting #1: cost 10 inf + 0 52.978 * * [simplify]: Extracting #2: cost 13 inf + 3 52.978 * * [simplify]: Extracting #3: cost 15 inf + 3 52.978 * * [simplify]: Extracting #4: cost 12 inf + 159 52.978 * * [simplify]: Extracting #5: cost 3 inf + 1240 52.979 * * [simplify]: Extracting #6: cost 0 inf + 1614 52.979 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))) 52.979 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- 1/2 (/ 1/2 (hypot 1 x)))))) 52.979 * * * * [progress]: [ 252 / 267 ] simplifiying candidate # 52.980 * [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)))))) 52.980 * * [simplify]: iters left: 6 (13 enodes) 52.983 * * [simplify]: iters left: 5 (45 enodes) 52.994 * * [simplify]: iters left: 4 (86 enodes) 53.012 * * [simplify]: iters left: 3 (153 enodes) 53.059 * * [simplify]: iters left: 2 (245 enodes) 53.174 * * [simplify]: iters left: 1 (357 enodes) 53.290 * * [simplify]: Extracting #0: cost 1 inf + 0 53.290 * * [simplify]: Extracting #1: cost 3 inf + 0 53.290 * * [simplify]: Extracting #2: cost 38 inf + 0 53.290 * * [simplify]: Extracting #3: cost 59 inf + 5 53.291 * * [simplify]: Extracting #4: cost 60 inf + 6 53.291 * * [simplify]: Extracting #5: cost 46 inf + 1602 53.293 * * [simplify]: Extracting #6: cost 7 inf + 10115 53.297 * * [simplify]: Extracting #7: cost 0 inf + 11762 53.300 * [simplify]: Simplified to (sqrt (+ 1 (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 53.300 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (+ 1 (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))))))) 53.301 * [simplify]: Simplifying (- (/ 1 (sqrt (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3))))) 53.301 * * [simplify]: iters left: 6 (15 enodes) 53.306 * * [simplify]: iters left: 5 (59 enodes) 53.316 * * [simplify]: iters left: 4 (80 enodes) 53.331 * * [simplify]: iters left: 3 (127 enodes) 53.358 * * [simplify]: iters left: 2 (216 enodes) 53.415 * * [simplify]: iters left: 1 (344 enodes) 53.498 * * [simplify]: Extracting #0: cost 1 inf + 0 53.498 * * [simplify]: Extracting #1: cost 5 inf + 0 53.498 * * [simplify]: Extracting #2: cost 18 inf + 0 53.498 * * [simplify]: Extracting #3: cost 31 inf + 1 53.498 * * [simplify]: Extracting #4: cost 38 inf + 3 53.499 * * [simplify]: Extracting #5: cost 61 inf + 3 53.499 * * [simplify]: Extracting #6: cost 99 inf + 6 53.500 * * [simplify]: Extracting #7: cost 98 inf + 700 53.504 * * [simplify]: Extracting #8: cost 55 inf + 14654 53.515 * * [simplify]: Extracting #9: cost 6 inf + 44363 53.528 * * [simplify]: Extracting #10: cost 0 inf + 48614 53.535 * [simplify]: Simplified to (- (/ 1 (sqrt (+ 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 53.535 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (+ 1 (- (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (/ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))) 53.535 * * * * [progress]: [ 253 / 267 ] simplifiying candidate # 53.536 * [simplify]: Simplifying (sqrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 53.536 * * [simplify]: iters left: 6 (9 enodes) 53.539 * * [simplify]: iters left: 5 (32 enodes) 53.544 * * [simplify]: iters left: 4 (37 enodes) 53.550 * * [simplify]: Extracting #0: cost 1 inf + 0 53.550 * * [simplify]: Extracting #1: cost 3 inf + 0 53.550 * * [simplify]: Extracting #2: cost 7 inf + 0 53.550 * * [simplify]: Extracting #3: cost 9 inf + 1 53.550 * * [simplify]: Extracting #4: cost 12 inf + 1 53.550 * * [simplify]: Extracting #5: cost 13 inf + 2 53.550 * * [simplify]: Extracting #6: cost 15 inf + 2 53.551 * * [simplify]: Extracting #7: cost 13 inf + 60 53.551 * * [simplify]: Extracting #8: cost 10 inf + 353 53.551 * * [simplify]: Extracting #9: cost 3 inf + 1599 53.551 * * [simplify]: Extracting #10: cost 0 inf + 2333 53.552 * [simplify]: Simplified to (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 53.552 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (/ 1 (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 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)))))))))) 53.552 * [simplify]: Simplifying (- (/ 1 (sqrt (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (+ (/ 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))))))) 53.552 * * [simplify]: iters left: 6 (14 enodes) 53.562 * * [simplify]: iters left: 5 (45 enodes) 53.577 * * [simplify]: iters left: 4 (71 enodes) 53.597 * * [simplify]: iters left: 3 (87 enodes) 53.622 * * [simplify]: iters left: 2 (107 enodes) 53.640 * * [simplify]: iters left: 1 (119 enodes) 53.655 * * [simplify]: Extracting #0: cost 1 inf + 0 53.656 * * [simplify]: Extracting #1: cost 5 inf + 0 53.656 * * [simplify]: Extracting #2: cost 22 inf + 0 53.656 * * [simplify]: Extracting #3: cost 35 inf + 1 53.656 * * [simplify]: Extracting #4: cost 38 inf + 3 53.656 * * [simplify]: Extracting #5: cost 41 inf + 3 53.657 * * [simplify]: Extracting #6: cost 36 inf + 395 53.658 * * [simplify]: Extracting #7: cost 17 inf + 3898 53.660 * * [simplify]: Extracting #8: cost 6 inf + 6496 53.664 * * [simplify]: Extracting #9: cost 1 inf + 8106 53.667 * * [simplify]: Extracting #10: cost 0 inf + 8444 53.670 * [simplify]: Simplified to (- (/ 1 (sqrt (- 1/2 (/ 1/2 (hypot 1 x))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))))) 53.670 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 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))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (- 1/2 (/ 1/2 (hypot 1 x))))))))) 53.671 * * * * [progress]: [ 254 / 267 ] simplifiying candidate # 53.671 * * * * [progress]: [ 255 / 267 ] simplifiying candidate #real (real->posit16 (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))))))> 53.671 * * * * [progress]: [ 256 / 267 ] simplifiying candidate # 53.671 * [simplify]: Simplifying (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 53.671 * * [simplify]: iters left: 6 (11 enodes) 53.675 * * [simplify]: iters left: 5 (40 enodes) 53.685 * * [simplify]: iters left: 4 (46 enodes) 53.692 * * [simplify]: iters left: 3 (50 enodes) 53.705 * * [simplify]: Extracting #0: cost 1 inf + 0 53.705 * * [simplify]: Extracting #1: cost 3 inf + 0 53.705 * * [simplify]: Extracting #2: cost 6 inf + 0 53.705 * * [simplify]: Extracting #3: cost 7 inf + 1 53.705 * * [simplify]: Extracting #4: cost 9 inf + 1 53.705 * * [simplify]: Extracting #5: cost 13 inf + 1 53.705 * * [simplify]: Extracting #6: cost 16 inf + 2 53.705 * * [simplify]: Extracting #7: cost 19 inf + 2 53.706 * * [simplify]: Extracting #8: cost 16 inf + 158 53.706 * * [simplify]: Extracting #9: cost 6 inf + 1453 53.707 * * [simplify]: Extracting #10: cost 3 inf + 2107 53.708 * * [simplify]: Extracting #11: cost 0 inf + 2961 53.709 * [simplify]: Simplified to (sqrt (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 53.709 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (sqrt (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 53.709 * * * * [progress]: [ 257 / 267 ] simplifiying candidate # 53.710 * [simplify]: Simplifying (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 53.710 * * [simplify]: iters left: 6 (11 enodes) 53.716 * * [simplify]: iters left: 5 (40 enodes) 53.728 * * [simplify]: iters left: 4 (46 enodes) 53.740 * * [simplify]: iters left: 3 (50 enodes) 53.755 * * [simplify]: Extracting #0: cost 1 inf + 0 53.755 * * [simplify]: Extracting #1: cost 3 inf + 0 53.755 * * [simplify]: Extracting #2: cost 6 inf + 0 53.755 * * [simplify]: Extracting #3: cost 7 inf + 1 53.755 * * [simplify]: Extracting #4: cost 9 inf + 1 53.755 * * [simplify]: Extracting #5: cost 13 inf + 1 53.755 * * [simplify]: Extracting #6: cost 16 inf + 2 53.755 * * [simplify]: Extracting #7: cost 19 inf + 2 53.755 * * [simplify]: Extracting #8: cost 16 inf + 158 53.756 * * [simplify]: Extracting #9: cost 6 inf + 1453 53.757 * * [simplify]: Extracting #10: cost 3 inf + 2107 53.758 * * [simplify]: Extracting #11: cost 0 inf + 2961 53.759 * [simplify]: Simplified to (sqrt (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 53.759 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (sqrt (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 53.759 * * * * [progress]: [ 258 / 267 ] simplifiying candidate # 53.759 * [simplify]: Simplifying (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 53.759 * * [simplify]: iters left: 6 (11 enodes) 53.766 * * [simplify]: iters left: 5 (40 enodes) 53.778 * * [simplify]: iters left: 4 (46 enodes) 53.791 * * [simplify]: iters left: 3 (50 enodes) 53.803 * * [simplify]: Extracting #0: cost 1 inf + 0 53.803 * * [simplify]: Extracting #1: cost 3 inf + 0 53.803 * * [simplify]: Extracting #2: cost 6 inf + 0 53.803 * * [simplify]: Extracting #3: cost 7 inf + 1 53.803 * * [simplify]: Extracting #4: cost 9 inf + 1 53.803 * * [simplify]: Extracting #5: cost 13 inf + 1 53.803 * * [simplify]: Extracting #6: cost 16 inf + 2 53.803 * * [simplify]: Extracting #7: cost 19 inf + 2 53.803 * * [simplify]: Extracting #8: cost 16 inf + 158 53.804 * * [simplify]: Extracting #9: cost 6 inf + 1453 53.805 * * [simplify]: Extracting #10: cost 3 inf + 2107 53.806 * * [simplify]: Extracting #11: cost 0 inf + 2961 53.806 * [simplify]: Simplified to (sqrt (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 53.807 * [simplify]: Simplified (2 2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (sqrt (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 53.807 * * * * [progress]: [ 259 / 267 ] simplifiying candidate # 53.807 * [simplify]: Simplifying (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 53.807 * * [simplify]: iters left: 6 (11 enodes) 53.813 * * [simplify]: iters left: 5 (40 enodes) 53.829 * * [simplify]: iters left: 4 (46 enodes) 53.842 * * [simplify]: iters left: 3 (50 enodes) 53.854 * * [simplify]: Extracting #0: cost 1 inf + 0 53.854 * * [simplify]: Extracting #1: cost 3 inf + 0 53.854 * * [simplify]: Extracting #2: cost 6 inf + 0 53.854 * * [simplify]: Extracting #3: cost 7 inf + 1 53.854 * * [simplify]: Extracting #4: cost 9 inf + 1 53.854 * * [simplify]: Extracting #5: cost 13 inf + 1 53.854 * * [simplify]: Extracting #6: cost 16 inf + 2 53.855 * * [simplify]: Extracting #7: cost 19 inf + 2 53.855 * * [simplify]: Extracting #8: cost 16 inf + 158 53.855 * * [simplify]: Extracting #9: cost 6 inf + 1453 53.855 * * [simplify]: Extracting #10: cost 3 inf + 2107 53.856 * * [simplify]: Extracting #11: cost 0 inf + 2961 53.856 * [simplify]: Simplified to (sqrt (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 53.856 * [simplify]: Simplified (2 1) to (λ (x) (* (sqrt (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 53.856 * * * * [progress]: [ 260 / 267 ] simplifiying candidate # 53.857 * [simplify]: Simplifying (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 53.857 * * [simplify]: iters left: 6 (11 enodes) 53.860 * * [simplify]: iters left: 5 (40 enodes) 53.867 * * [simplify]: iters left: 4 (46 enodes) 53.873 * * [simplify]: iters left: 3 (50 enodes) 53.880 * * [simplify]: Extracting #0: cost 1 inf + 0 53.880 * * [simplify]: Extracting #1: cost 3 inf + 0 53.880 * * [simplify]: Extracting #2: cost 6 inf + 0 53.880 * * [simplify]: Extracting #3: cost 7 inf + 1 53.880 * * [simplify]: Extracting #4: cost 9 inf + 1 53.880 * * [simplify]: Extracting #5: cost 13 inf + 1 53.880 * * [simplify]: Extracting #6: cost 16 inf + 2 53.881 * * [simplify]: Extracting #7: cost 19 inf + 2 53.881 * * [simplify]: Extracting #8: cost 16 inf + 158 53.881 * * [simplify]: Extracting #9: cost 6 inf + 1453 53.881 * * [simplify]: Extracting #10: cost 3 inf + 2107 53.882 * * [simplify]: Extracting #11: cost 0 inf + 2961 53.882 * [simplify]: Simplified to (sqrt (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 53.882 * [simplify]: Simplified (2 1) to (λ (x) (* (sqrt (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 53.882 * * * * [progress]: [ 261 / 267 ] simplifiying candidate # 53.883 * [simplify]: Simplifying (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) 53.883 * * [simplify]: iters left: 6 (11 enodes) 53.889 * * [simplify]: iters left: 5 (40 enodes) 53.902 * * [simplify]: iters left: 4 (46 enodes) 53.915 * * [simplify]: iters left: 3 (50 enodes) 53.928 * * [simplify]: Extracting #0: cost 1 inf + 0 53.928 * * [simplify]: Extracting #1: cost 3 inf + 0 53.928 * * [simplify]: Extracting #2: cost 6 inf + 0 53.928 * * [simplify]: Extracting #3: cost 7 inf + 1 53.928 * * [simplify]: Extracting #4: cost 9 inf + 1 53.929 * * [simplify]: Extracting #5: cost 13 inf + 1 53.929 * * [simplify]: Extracting #6: cost 16 inf + 2 53.929 * * [simplify]: Extracting #7: cost 19 inf + 2 53.929 * * [simplify]: Extracting #8: cost 16 inf + 158 53.929 * * [simplify]: Extracting #9: cost 6 inf + 1453 53.930 * * [simplify]: Extracting #10: cost 3 inf + 2107 53.931 * * [simplify]: Extracting #11: cost 0 inf + 2961 53.932 * [simplify]: Simplified to (sqrt (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 53.932 * [simplify]: Simplified (2 1) to (λ (x) (* (sqrt (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 53.932 * * * * [progress]: [ 262 / 267 ] simplifiying candidate # 53.933 * [simplify]: Simplifying (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) 53.933 * * [simplify]: iters left: 6 (12 enodes) 53.939 * * [simplify]: iters left: 5 (44 enodes) 53.953 * * [simplify]: iters left: 4 (58 enodes) 53.975 * * [simplify]: iters left: 3 (81 enodes) 53.997 * * [simplify]: iters left: 2 (116 enodes) 54.017 * * [simplify]: iters left: 1 (123 enodes) 54.044 * * [simplify]: Extracting #0: cost 1 inf + 0 54.045 * * [simplify]: Extracting #1: cost 9 inf + 0 54.045 * * [simplify]: Extracting #2: cost 24 inf + 1 54.045 * * [simplify]: Extracting #3: cost 34 inf + 2 54.045 * * [simplify]: Extracting #4: cost 28 inf + 724 54.045 * * [simplify]: Extracting #5: cost 19 inf + 2100 54.046 * * [simplify]: Extracting #6: cost 14 inf + 3189 54.047 * * [simplify]: Extracting #7: cost 4 inf + 6569 54.049 * * [simplify]: Extracting #8: cost 0 inf + 7921 54.051 * [simplify]: Simplified to (* (sqrt (/ 1 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (+ (/ 1/2 (hypot 1 x)) 1/2)) 54.051 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ 1 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (+ (/ 1/2 (hypot 1 x)) 1/2))))) 54.051 * * * * [progress]: [ 263 / 267 ] simplifiying candidate # 54.051 * [simplify]: Simplifying (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 54.051 * * [simplify]: iters left: 6 (12 enodes) 54.055 * * [simplify]: iters left: 5 (50 enodes) 54.072 * * [simplify]: iters left: 4 (74 enodes) 54.091 * * [simplify]: iters left: 3 (100 enodes) 54.105 * * [simplify]: iters left: 2 (112 enodes) 54.124 * * [simplify]: iters left: 1 (138 enodes) 54.146 * * [simplify]: Extracting #0: cost 1 inf + 0 54.146 * * [simplify]: Extracting #1: cost 12 inf + 0 54.147 * * [simplify]: Extracting #2: cost 23 inf + 2 54.147 * * [simplify]: Extracting #3: cost 32 inf + 2 54.147 * * [simplify]: Extracting #4: cost 27 inf + 686 54.147 * * [simplify]: Extracting #5: cost 19 inf + 2045 54.149 * * [simplify]: Extracting #6: cost 3 inf + 7213 54.151 * * [simplify]: Extracting #7: cost 0 inf + 8187 54.153 * [simplify]: Simplified to (* (sqrt (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 54.153 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (+ 1/2 (/ 1/2 (hypot 1 x))))))) 54.153 * * * * [progress]: [ 264 / 267 ] simplifiying candidate # 54.154 * [simplify]: Simplifying (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 54.154 * * [simplify]: iters left: 6 (12 enodes) 54.157 * * [simplify]: iters left: 5 (50 enodes) 54.176 * * [simplify]: iters left: 4 (74 enodes) 54.195 * * [simplify]: iters left: 3 (100 enodes) 54.209 * * [simplify]: iters left: 2 (112 enodes) 54.228 * * [simplify]: iters left: 1 (138 enodes) 54.252 * * [simplify]: Extracting #0: cost 1 inf + 0 54.252 * * [simplify]: Extracting #1: cost 12 inf + 0 54.252 * * [simplify]: Extracting #2: cost 23 inf + 2 54.252 * * [simplify]: Extracting #3: cost 32 inf + 2 54.252 * * [simplify]: Extracting #4: cost 27 inf + 686 54.253 * * [simplify]: Extracting #5: cost 19 inf + 2045 54.254 * * [simplify]: Extracting #6: cost 3 inf + 7213 54.256 * * [simplify]: Extracting #7: cost 0 inf + 8187 54.259 * [simplify]: Simplified to (* (sqrt (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 54.259 * [simplify]: Simplified (2 2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (sqrt (/ 1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (+ 1/2 (/ 1/2 (hypot 1 x))))))) 54.259 * * * * [progress]: [ 265 / 267 ] simplifiying candidate # 54.259 * [simplify]: Simplifying (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))))) 54.259 * * [simplify]: iters left: 6 (15 enodes) 54.264 * * [simplify]: iters left: 5 (62 enodes) 54.290 * * [simplify]: iters left: 4 (95 enodes) 54.320 * * [simplify]: iters left: 3 (155 enodes) 54.356 * * [simplify]: iters left: 2 (226 enodes) 54.433 * * [simplify]: iters left: 1 (290 enodes) 54.516 * * [simplify]: Extracting #0: cost 1 inf + 0 54.516 * * [simplify]: Extracting #1: cost 11 inf + 0 54.516 * * [simplify]: Extracting #2: cost 35 inf + 2 54.516 * * [simplify]: Extracting #3: cost 48 inf + 4 54.517 * * [simplify]: Extracting #4: cost 35 inf + 1372 54.518 * * [simplify]: Extracting #5: cost 33 inf + 1843 54.520 * * [simplify]: Extracting #6: cost 30 inf + 2853 54.525 * * [simplify]: Extracting #7: cost 8 inf + 10148 54.533 * * [simplify]: Extracting #8: cost 0 inf + 12892 54.541 * [simplify]: Simplified to (* (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (/ 1 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 54.541 * [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)) 1)))))) 54.542 * * * * [progress]: [ 266 / 267 ] simplifiying candidate # 54.542 * [simplify]: Simplifying (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))))) 54.542 * * [simplify]: iters left: 6 (15 enodes) 54.551 * * [simplify]: iters left: 5 (62 enodes) 54.563 * * [simplify]: iters left: 4 (95 enodes) 54.583 * * [simplify]: iters left: 3 (155 enodes) 54.620 * * [simplify]: iters left: 2 (226 enodes) 54.702 * * [simplify]: iters left: 1 (290 enodes) 54.767 * * [simplify]: Extracting #0: cost 1 inf + 0 54.768 * * [simplify]: Extracting #1: cost 11 inf + 0 54.768 * * [simplify]: Extracting #2: cost 35 inf + 2 54.768 * * [simplify]: Extracting #3: cost 48 inf + 4 54.768 * * [simplify]: Extracting #4: cost 35 inf + 1372 54.769 * * [simplify]: Extracting #5: cost 33 inf + 1843 54.770 * * [simplify]: Extracting #6: cost 30 inf + 2853 54.772 * * [simplify]: Extracting #7: cost 8 inf + 10148 54.777 * * [simplify]: Extracting #8: cost 0 inf + 12892 54.782 * [simplify]: Simplified to (* (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (/ 1 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 54.782 * [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)) 1)))))) 54.782 * * * * [progress]: [ 267 / 267 ] simplifiying candidate # 54.783 * [simplify]: Simplifying (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))))) 54.783 * * [simplify]: iters left: 6 (15 enodes) 54.792 * * [simplify]: iters left: 5 (62 enodes) 54.812 * * [simplify]: iters left: 4 (95 enodes) 54.845 * * [simplify]: iters left: 3 (155 enodes) 54.903 * * [simplify]: iters left: 2 (226 enodes) 54.961 * * [simplify]: iters left: 1 (290 enodes) 55.025 * * [simplify]: Extracting #0: cost 1 inf + 0 55.025 * * [simplify]: Extracting #1: cost 11 inf + 0 55.025 * * [simplify]: Extracting #2: cost 35 inf + 2 55.026 * * [simplify]: Extracting #3: cost 48 inf + 4 55.026 * * [simplify]: Extracting #4: cost 35 inf + 1372 55.027 * * [simplify]: Extracting #5: cost 33 inf + 1843 55.027 * * [simplify]: Extracting #6: cost 30 inf + 2853 55.032 * * [simplify]: Extracting #7: cost 8 inf + 10148 55.037 * * [simplify]: Extracting #8: cost 0 inf + 12892 55.045 * [simplify]: Simplified to (* (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (/ 1 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 55.045 * [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)) 1)))))) 55.045 * * * [progress]: adding candidates to table 58.287 * [progress]: [Phase 3 of 3] Extracting. 58.287 * * [regime]: Finding splitpoints for: (# # # # # #) 58.292 * * * [regime-changes]: Trying 2 branch expressions: (x (hypot 1 x)) 58.292 * * * * [regimes]: Trying to branch on x from (# # # # # #) 58.348 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# # # # # #) 58.392 * * * [regime]: Found split indices: #