67.534 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.065 * * * [progress]: [2/2] Setting up program. 0.068 * [progress]: [Phase 2 of 3] Improving. 0.068 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.068 * [simplify]: Simplifying: (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) 0.068 * * [simplify]: iteration 0: 9 enodes 0.070 * * [simplify]: iteration 1: 14 enodes 0.072 * * [simplify]: iteration 2: 18 enodes 0.074 * * [simplify]: iteration 3: 20 enodes 0.076 * * [simplify]: iteration complete: 20 enodes 0.076 * * [simplify]: Extracting #0: cost 1 inf + 0 0.077 * * [simplify]: Extracting #1: cost 2 inf + 0 0.077 * * [simplify]: Extracting #2: cost 4 inf + 0 0.077 * * [simplify]: Extracting #3: cost 7 inf + 0 0.077 * * [simplify]: Extracting #4: cost 6 inf + 2 0.077 * * [simplify]: Extracting #5: cost 8 inf + 44 0.077 * * [simplify]: Extracting #6: cost 0 inf + 1127 0.077 * [simplify]: Simplified to: (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) 0.077 * * [progress]: iteration 1 / 4 0.078 * * * [progress]: picking best candidate 0.105 * * * * [pick]: Picked # 0.105 * * * [progress]: localizing error 0.144 * * * [progress]: generating rewritten candidates 0.144 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.185 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2 1) 0.205 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 0.227 * * * [progress]: generating series expansions 0.227 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.228 * [backup-simplify]: Simplify (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) into (+ (/ 1 x) (* (/ 1 x) (sqrt (- 1 (pow x 2))))) 0.228 * [approximate]: Taking taylor expansion of (+ (/ 1 x) (* (/ 1 x) (sqrt (- 1 (pow x 2))))) in (x) around 0 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* (/ 1 x) (sqrt (- 1 (pow x 2))))) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1 (pow x 2)))) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [taylor]: Taking taylor expansion of (sqrt (- 1 (pow x 2))) in x 0.229 * [taylor]: Taking taylor expansion of (- 1 (pow x 2)) in x 0.229 * [taylor]: Taking taylor expansion of 1 in x 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (+ 1 0) into 1 0.230 * [backup-simplify]: Simplify (sqrt 1) into 1 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* (/ 1 x) (sqrt (- 1 (pow x 2))))) in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (/ 1 1) into 1 0.231 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1 (pow x 2)))) in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (/ 1 1) into 1 0.231 * [taylor]: Taking taylor expansion of (sqrt (- 1 (pow x 2))) in x 0.231 * [taylor]: Taking taylor expansion of (- 1 (pow x 2)) in x 0.231 * [taylor]: Taking taylor expansion of 1 in x 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (+ 1 0) into 1 0.232 * [backup-simplify]: Simplify (sqrt 1) into 1 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.233 * [backup-simplify]: Simplify (* 1 1) into 1 0.233 * [backup-simplify]: Simplify (+ 1 1) into 2 0.233 * [backup-simplify]: Simplify 2 into 2 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (* 1 1) into 1 0.236 * [backup-simplify]: Simplify (- 1) into -1 0.236 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.237 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* 0 1))) into -1/2 0.238 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 0.238 * [backup-simplify]: Simplify -1/2 into -1/2 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.240 * [backup-simplify]: Simplify (- 0) into 0 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.244 * [backup-simplify]: Simplify (- 0) into 0 0.244 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into -1/8 0.246 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 0.246 * [backup-simplify]: Simplify -1/8 into -1/8 0.247 * [backup-simplify]: Simplify (+ (* -1/8 (pow x 3)) (+ (* -1/2 x) (* 2 (/ 1 x)))) into (- (* 2 (/ 1 x)) (+ (* 1/2 x) (* 1/8 (pow x 3)))) 0.247 * [backup-simplify]: Simplify (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) into (+ x (* x (sqrt (- 1 (/ 1 (pow x 2)))))) 0.247 * [approximate]: Taking taylor expansion of (+ x (* x (sqrt (- 1 (/ 1 (pow x 2)))))) in (x) around 0 0.247 * [taylor]: Taking taylor expansion of (+ x (* x (sqrt (- 1 (/ 1 (pow x 2)))))) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1 (/ 1 (pow x 2))))) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.248 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 0.248 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 0.248 * [taylor]: Taking taylor expansion of 1 in x 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.248 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (* 1 1) into 1 0.249 * [backup-simplify]: Simplify (/ 1 1) into 1 0.249 * [backup-simplify]: Simplify (- 1) into -1 0.249 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.250 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.253 * [taylor]: Taking taylor expansion of (+ x (* x (sqrt (- 1 (/ 1 (pow x 2)))))) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1 (/ 1 (pow x 2))))) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 0.253 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 0.253 * [taylor]: Taking taylor expansion of 1 in x 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (* 1 1) into 1 0.254 * [backup-simplify]: Simplify (/ 1 1) into 1 0.254 * [backup-simplify]: Simplify (- 1) into -1 0.255 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.255 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (- 0) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.258 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.261 * [backup-simplify]: Simplify (+ 0 (sqrt -1)) into (sqrt -1) 0.262 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (- 0) into 0 0.264 * [backup-simplify]: Simplify (+ 1 0) into 1 0.267 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 0.268 * [backup-simplify]: Simplify (+ (* 0 (/ 1/2 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.268 * [backup-simplify]: Simplify (+ 1 0) into 1 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.277 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1/2 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 1/2 (/ 1 (sqrt -1))) 0.278 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (sqrt -1)))) into (* 1/2 (/ 1 (sqrt -1))) 0.279 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) 0.280 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* 1 (/ 1 x)) (sqrt -1))) into (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (/ 1 x))) 0.281 * [backup-simplify]: Simplify (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) into (- (+ x (* x (sqrt (- 1 (/ 1 (pow x 2))))))) 0.281 * [approximate]: Taking taylor expansion of (- (+ x (* x (sqrt (- 1 (/ 1 (pow x 2))))))) in (x) around 0 0.281 * [taylor]: Taking taylor expansion of (- (+ x (* x (sqrt (- 1 (/ 1 (pow x 2))))))) in x 0.281 * [taylor]: Taking taylor expansion of (+ x (* x (sqrt (- 1 (/ 1 (pow x 2)))))) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1 (/ 1 (pow x 2))))) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 0.281 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 0.281 * [taylor]: Taking taylor expansion of 1 in x 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (* 1 1) into 1 0.281 * [backup-simplify]: Simplify (/ 1 1) into 1 0.282 * [backup-simplify]: Simplify (- 1) into -1 0.282 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.282 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (- 0) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.284 * [taylor]: Taking taylor expansion of (- (+ x (* x (sqrt (- 1 (/ 1 (pow x 2))))))) in x 0.284 * [taylor]: Taking taylor expansion of (+ x (* x (sqrt (- 1 (/ 1 (pow x 2)))))) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1 (/ 1 (pow x 2))))) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 0.284 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 0.284 * [taylor]: Taking taylor expansion of 1 in x 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (* 1 1) into 1 0.285 * [backup-simplify]: Simplify (/ 1 1) into 1 0.285 * [backup-simplify]: Simplify (- 1) into -1 0.285 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.285 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (- 0) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.288 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.290 * [backup-simplify]: Simplify (+ 0 (sqrt -1)) into (sqrt -1) 0.290 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.291 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (- 0) into 0 0.298 * [backup-simplify]: Simplify (+ 1 0) into 1 0.300 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 0.301 * [backup-simplify]: Simplify (+ (* 0 (/ 1/2 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.301 * [backup-simplify]: Simplify (+ 1 0) into 1 0.301 * [backup-simplify]: Simplify (- 1) into -1 0.301 * [backup-simplify]: Simplify -1 into -1 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (- 0) into 0 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.311 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1/2 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 1/2 (/ 1 (sqrt -1))) 0.314 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (sqrt -1)))) into (* 1/2 (/ 1 (sqrt -1))) 0.316 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) 0.319 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) 0.322 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 2)) (+ (* -1 (/ 1 (- x))) (- (sqrt -1)))) into (- (/ 1 x) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) 0.323 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2 1) 0.323 * [backup-simplify]: Simplify (sqrt (- 1 (* x x))) into (sqrt (- 1 (pow x 2))) 0.323 * [approximate]: Taking taylor expansion of (sqrt (- 1 (pow x 2))) in (x) around 0 0.323 * [taylor]: Taking taylor expansion of (sqrt (- 1 (pow x 2))) in x 0.323 * [taylor]: Taking taylor expansion of (- 1 (pow x 2)) in x 0.323 * [taylor]: Taking taylor expansion of 1 in x 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (+ 1 0) into 1 0.324 * [backup-simplify]: Simplify (sqrt 1) into 1 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.325 * [taylor]: Taking taylor expansion of (sqrt (- 1 (pow x 2))) in x 0.325 * [taylor]: Taking taylor expansion of (- 1 (pow x 2)) in x 0.325 * [taylor]: Taking taylor expansion of 1 in x 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.326 * [backup-simplify]: Simplify (+ 1 0) into 1 0.326 * [backup-simplify]: Simplify (sqrt 1) into 1 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (* 1 1) into 1 0.328 * [backup-simplify]: Simplify (- 1) into -1 0.329 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.330 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 0.330 * [backup-simplify]: Simplify -1/2 into -1/2 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.331 * [backup-simplify]: Simplify (- 0) into 0 0.331 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.334 * [backup-simplify]: Simplify (- 0) into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.336 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.336 * [backup-simplify]: Simplify -1/8 into -1/8 0.336 * [backup-simplify]: Simplify (+ (* -1/8 (pow x 4)) (+ (* -1/2 (pow x 2)) 1)) into (- 1 (+ (* 1/2 (pow x 2)) (* 1/8 (pow x 4)))) 0.337 * [backup-simplify]: Simplify (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1 (/ 1 (pow x 2)))) 0.337 * [approximate]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in (x) around 0 0.337 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 0.337 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 0.337 * [taylor]: Taking taylor expansion of 1 in x 0.337 * [backup-simplify]: Simplify 1 into 1 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.337 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (* 1 1) into 1 0.338 * [backup-simplify]: Simplify (/ 1 1) into 1 0.338 * [backup-simplify]: Simplify (- 1) into -1 0.339 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.339 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.342 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 0.342 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 0.342 * [taylor]: Taking taylor expansion of 1 in x 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (* 1 1) into 1 0.343 * [backup-simplify]: Simplify (/ 1 1) into 1 0.343 * [backup-simplify]: Simplify (- 1) into -1 0.344 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.344 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (- 0) into 0 0.346 * [backup-simplify]: Simplify (+ 0 0) into 0 0.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.348 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.348 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (- 0) into 0 0.350 * [backup-simplify]: Simplify (+ 1 0) into 1 0.354 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 0.354 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 0.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (- 0) into 0 0.357 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (- 0) into 0 0.363 * [backup-simplify]: Simplify (+ 0 0) into 0 0.367 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 0.368 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) 0.370 * [backup-simplify]: Simplify (+ (* (/ 1/8 (sqrt -1)) (pow (/ 1 x) 3)) (+ (* (/ 1/2 (sqrt -1)) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (+ (* 1/2 (/ 1 (* x (sqrt -1)))) (+ (* 1/8 (/ 1 (* (pow x 3) (sqrt -1)))) (* x (sqrt -1)))) 0.370 * [backup-simplify]: Simplify (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1 (/ 1 (pow x 2)))) 0.370 * [approximate]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in (x) around 0 0.370 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 0.370 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 0.370 * [taylor]: Taking taylor expansion of 1 in x 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (* 1 1) into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.372 * [backup-simplify]: Simplify (- 1) into -1 0.372 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.372 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (- 0) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.375 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 0.375 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 0.375 * [taylor]: Taking taylor expansion of 1 in x 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.376 * [backup-simplify]: Simplify (* 1 1) into 1 0.376 * [backup-simplify]: Simplify (/ 1 1) into 1 0.376 * [backup-simplify]: Simplify (- 1) into -1 0.377 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.377 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (- 0) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.380 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.380 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (- 0) into 0 0.382 * [backup-simplify]: Simplify (+ 1 0) into 1 0.385 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 0.386 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 0.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.388 * [backup-simplify]: Simplify (- 0) into 0 0.389 * [backup-simplify]: Simplify (+ 0 0) into 0 0.390 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (- 0) into 0 0.394 * [backup-simplify]: Simplify (+ 0 0) into 0 0.397 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 0.397 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) 0.399 * [backup-simplify]: Simplify (+ (* (/ 1/8 (sqrt -1)) (pow (/ 1 (- x)) 3)) (+ (* (/ 1/2 (sqrt -1)) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (+ (* 1/2 (/ 1 (* x (sqrt -1)))) (+ (* 1/8 (/ 1 (* (pow x 3) (sqrt -1)))) (* x (sqrt -1))))) 0.399 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 0.399 * [backup-simplify]: Simplify (/ (sqrt (- 1 (* x x))) x) into (* (/ 1 x) (sqrt (- 1 (pow x 2)))) 0.399 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1 (pow x 2)))) in (x) around 0 0.399 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1 (pow x 2)))) in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [backup-simplify]: Simplify (/ 1 1) into 1 0.399 * [taylor]: Taking taylor expansion of (sqrt (- 1 (pow x 2))) in x 0.399 * [taylor]: Taking taylor expansion of (- 1 (pow x 2)) in x 0.399 * [taylor]: Taking taylor expansion of 1 in x 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.400 * [backup-simplify]: Simplify (+ 1 0) into 1 0.400 * [backup-simplify]: Simplify (sqrt 1) into 1 0.400 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.401 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1 (pow x 2)))) in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [backup-simplify]: Simplify (/ 1 1) into 1 0.401 * [taylor]: Taking taylor expansion of (sqrt (- 1 (pow x 2))) in x 0.401 * [taylor]: Taking taylor expansion of (- 1 (pow x 2)) in x 0.401 * [taylor]: Taking taylor expansion of 1 in x 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [backup-simplify]: Simplify (+ 1 0) into 1 0.402 * [backup-simplify]: Simplify (sqrt 1) into 1 0.402 * [backup-simplify]: Simplify (+ 0 0) into 0 0.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.402 * [backup-simplify]: Simplify (* 1 1) into 1 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify (* 1 1) into 1 0.404 * [backup-simplify]: Simplify (- 1) into -1 0.404 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.405 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* 0 1))) into -1/2 0.406 * [backup-simplify]: Simplify -1/2 into -1/2 0.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.407 * [backup-simplify]: Simplify (- 0) into 0 0.407 * [backup-simplify]: Simplify (+ 0 0) into 0 0.408 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.410 * [backup-simplify]: Simplify (- 0) into 0 0.410 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into -1/8 0.412 * [backup-simplify]: Simplify -1/8 into -1/8 0.412 * [backup-simplify]: Simplify (+ (* -1/8 (pow x 3)) (+ (* -1/2 x) (* 1 (/ 1 x)))) into (- (/ 1 x) (+ (* 1/2 x) (* 1/8 (pow x 3)))) 0.413 * [backup-simplify]: Simplify (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) into (* x (sqrt (- 1 (/ 1 (pow x 2))))) 0.413 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1 (/ 1 (pow x 2))))) in (x) around 0 0.413 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1 (/ 1 (pow x 2))))) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 0.413 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 0.413 * [taylor]: Taking taylor expansion of 1 in x 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.413 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (* 1 1) into 1 0.413 * [backup-simplify]: Simplify (/ 1 1) into 1 0.413 * [backup-simplify]: Simplify (- 1) into -1 0.414 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.414 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (- 0) into 0 0.415 * [backup-simplify]: Simplify (+ 0 0) into 0 0.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.416 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1 (/ 1 (pow x 2))))) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 0.416 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 0.416 * [taylor]: Taking taylor expansion of 1 in x 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.416 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (* 1 1) into 1 0.416 * [backup-simplify]: Simplify (/ 1 1) into 1 0.417 * [backup-simplify]: Simplify (- 1) into -1 0.417 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.417 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (- 0) into 0 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.422 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.424 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (- 0) into 0 0.427 * [backup-simplify]: Simplify (+ 1 0) into 1 0.430 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 0.431 * [backup-simplify]: Simplify (+ (* 0 (/ 1/2 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (- 0) into 0 0.434 * [backup-simplify]: Simplify (+ 0 0) into 0 0.436 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.442 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1/2 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 1/2 (/ 1 (sqrt -1))) 0.443 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) 0.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (- 0) into 0 0.445 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 0.449 * [backup-simplify]: Simplify (+ (* 0 (/ 1/8 (sqrt -1))) (+ (* 1 0) (+ (* 0 (/ 1/2 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 0.449 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (- 0) into 0 0.451 * [backup-simplify]: Simplify (+ 0 0) into 0 0.452 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (sqrt -1)))) (* 2 (* (/ 1/2 (sqrt -1)) 0)))) (* 2 (sqrt -1))) into 0 0.457 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1/8 (sqrt -1))) (+ (* 0 0) (+ (* 0 (/ 1/2 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))))) into (* 1/8 (/ 1 (sqrt -1))) 0.458 * [backup-simplify]: Simplify (* 1/8 (/ 1 (sqrt -1))) into (/ 1/8 (sqrt -1)) 0.460 * [backup-simplify]: Simplify (+ (* (/ 1/8 (sqrt -1)) (pow (/ 1 x) 4)) (+ (* (/ 1/2 (sqrt -1)) (pow (/ 1 x) 2)) (sqrt -1))) into (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/8 (/ 1 (* (pow x 4) (sqrt -1)))))) 0.460 * [backup-simplify]: Simplify (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) into (* -1 (* x (sqrt (- 1 (/ 1 (pow x 2)))))) 0.460 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1 (/ 1 (pow x 2)))))) in (x) around 0 0.460 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1 (/ 1 (pow x 2)))))) in x 0.460 * [taylor]: Taking taylor expansion of -1 in x 0.460 * [backup-simplify]: Simplify -1 into -1 0.460 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1 (/ 1 (pow x 2))))) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.460 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 0.460 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 0.460 * [taylor]: Taking taylor expansion of 1 in x 0.460 * [backup-simplify]: Simplify 1 into 1 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.460 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.460 * [backup-simplify]: Simplify (* 1 1) into 1 0.460 * [backup-simplify]: Simplify (/ 1 1) into 1 0.461 * [backup-simplify]: Simplify (- 1) into -1 0.461 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.461 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (- 0) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.463 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1 (/ 1 (pow x 2)))))) in x 0.463 * [taylor]: Taking taylor expansion of -1 in x 0.463 * [backup-simplify]: Simplify -1 into -1 0.463 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1 (/ 1 (pow x 2))))) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 0.463 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 0.463 * [taylor]: Taking taylor expansion of 1 in x 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (* 1 1) into 1 0.464 * [backup-simplify]: Simplify (/ 1 1) into 1 0.464 * [backup-simplify]: Simplify (- 1) into -1 0.464 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.464 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (- 0) into 0 0.466 * [backup-simplify]: Simplify (+ 0 0) into 0 0.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.466 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.467 * [backup-simplify]: Simplify (* -1 0) into 0 0.467 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.469 * [backup-simplify]: Simplify (+ (* -1 (sqrt -1)) (* 0 0)) into (- (sqrt -1)) 0.470 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (- 0) into 0 0.471 * [backup-simplify]: Simplify (+ 1 0) into 1 0.474 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 0.475 * [backup-simplify]: Simplify (+ (* 0 (/ 1/2 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.477 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt -1)) (* 0 0))) into 0 0.477 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (- 0) into 0 0.479 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.487 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1/2 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 1/2 (/ 1 (sqrt -1))) 0.492 * [backup-simplify]: Simplify (+ (* -1 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0)))) into (- (* 1/2 (/ 1 (sqrt -1)))) 0.494 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (- 0) into 0 0.497 * [backup-simplify]: Simplify (+ 0 0) into 0 0.501 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 0.502 * [backup-simplify]: Simplify (+ (* 0 (/ 1/8 (sqrt -1))) (+ (* 1 0) (+ (* 0 (/ 1/2 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 0.503 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0))))) into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (- 0) into 0 0.505 * [backup-simplify]: Simplify (+ 0 0) into 0 0.506 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (sqrt -1)))) (* 2 (* (/ 1/2 (sqrt -1)) 0)))) (* 2 (sqrt -1))) into 0 0.511 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1/8 (sqrt -1))) (+ (* 0 0) (+ (* 0 (/ 1/2 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))))) into (* 1/8 (/ 1 (sqrt -1))) 0.515 * [backup-simplify]: Simplify (+ (* -1 (* 1/8 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0)))))) into (- (* 1/8 (/ 1 (sqrt -1)))) 0.517 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (sqrt -1)))) into (- (* 1/8 (/ 1 (sqrt -1)))) 0.521 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 4)) (+ (* (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 2)) (- (sqrt -1)))) into (- (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/8 (/ 1 (* (pow x 4) (sqrt -1))))))) 0.521 * * * [progress]: simplifying candidates 0.521 * * * * [progress]: [ 1 / 121 ] simplifiying candidate # 0.521 * * * * [progress]: [ 2 / 121 ] simplifiying candidate # 0.521 * * * * [progress]: [ 3 / 121 ] simplifiying candidate # 0.521 * * * * [progress]: [ 4 / 121 ] simplifiying candidate # 0.521 * * * * [progress]: [ 5 / 121 ] simplifiying candidate # 0.521 * * * * [progress]: [ 6 / 121 ] simplifiying candidate # 0.521 * * * * [progress]: [ 7 / 121 ] simplifiying candidate # 0.521 * * * * [progress]: [ 8 / 121 ] simplifiying candidate # 0.521 * * * * [progress]: [ 9 / 121 ] simplifiying candidate # 0.521 * * * * [progress]: [ 10 / 121 ] simplifiying candidate # 0.521 * * * * [progress]: [ 11 / 121 ] simplifiying candidate # 0.521 * * * * [progress]: [ 12 / 121 ] simplifiying candidate # 0.521 * * * * [progress]: [ 13 / 121 ] simplifiying candidate # 0.521 * * * * [progress]: [ 14 / 121 ] simplifiying candidate # 0.521 * * * * [progress]: [ 15 / 121 ] simplifiying candidate # 0.521 * * * * [progress]: [ 16 / 121 ] simplifiying candidate # 0.522 * * * * [progress]: [ 17 / 121 ] simplifiying candidate # 0.522 * * * * [progress]: [ 18 / 121 ] simplifiying candidate # 0.522 * * * * [progress]: [ 19 / 121 ] simplifiying candidate # 0.522 * * * * [progress]: [ 20 / 121 ] simplifiying candidate # 0.522 * * * * [progress]: [ 21 / 121 ] simplifiying candidate # 0.522 * * * * [progress]: [ 22 / 121 ] simplifiying candidate # 0.522 * * * * [progress]: [ 23 / 121 ] simplifiying candidate # 0.522 * * * * [progress]: [ 24 / 121 ] simplifiying candidate # 0.522 * * * * [progress]: [ 25 / 121 ] simplifiying candidate # 0.522 * * * * [progress]: [ 26 / 121 ] simplifiying candidate # 0.522 * * * * [progress]: [ 27 / 121 ] simplifiying candidate # 0.522 * * * * [progress]: [ 28 / 121 ] simplifiying candidate # 0.522 * * * * [progress]: [ 29 / 121 ] simplifiying candidate # 0.522 * * * * [progress]: [ 30 / 121 ] simplifiying candidate # 0.522 * * * * [progress]: [ 31 / 121 ] simplifiying candidate # 0.522 * * * * [progress]: [ 32 / 121 ] simplifiying candidate # 0.522 * * * * [progress]: [ 33 / 121 ] simplifiying candidate # 0.522 * * * * [progress]: [ 34 / 121 ] simplifiying candidate # 0.522 * * * * [progress]: [ 35 / 121 ] simplifiying candidate # 0.522 * * * * [progress]: [ 36 / 121 ] simplifiying candidate # 0.522 * * * * [progress]: [ 37 / 121 ] simplifiying candidate # 0.522 * * * * [progress]: [ 38 / 121 ] simplifiying candidate # 0.522 * * * * [progress]: [ 39 / 121 ] simplifiying candidate #real (real->posit16 (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))> 0.522 * * * * [progress]: [ 40 / 121 ] simplifiying candidate # 0.522 * * * * [progress]: [ 41 / 121 ] simplifiying candidate # 0.522 * * * * [progress]: [ 42 / 121 ] simplifiying candidate # 0.522 * * * * [progress]: [ 43 / 121 ] simplifiying candidate # 0.523 * * * * [progress]: [ 44 / 121 ] simplifiying candidate # 0.523 * * * * [progress]: [ 45 / 121 ] simplifiying candidate # 0.523 * * * * [progress]: [ 46 / 121 ] simplifiying candidate # 0.523 * * * * [progress]: [ 47 / 121 ] simplifiying candidate # 0.523 * * * * [progress]: [ 48 / 121 ] simplifiying candidate # 0.523 * * * * [progress]: [ 49 / 121 ] simplifiying candidate # 0.523 * * * * [progress]: [ 50 / 121 ] simplifiying candidate # 0.523 * * * * [progress]: [ 51 / 121 ] simplifiying candidate # 0.523 * * * * [progress]: [ 52 / 121 ] simplifiying candidate # 0.523 * * * * [progress]: [ 53 / 121 ] simplifiying candidate # 0.523 * * * * [progress]: [ 54 / 121 ] simplifiying candidate # 0.523 * * * * [progress]: [ 55 / 121 ] simplifiying candidate # 0.523 * * * * [progress]: [ 56 / 121 ] simplifiying candidate # 0.523 * * * * [progress]: [ 57 / 121 ] simplifiying candidate # 0.523 * * * * [progress]: [ 58 / 121 ] simplifiying candidate # 0.523 * * * * [progress]: [ 59 / 121 ] simplifiying candidate # 0.523 * * * * [progress]: [ 60 / 121 ] simplifiying candidate #real (real->posit16 (sqrt (- 1 (* x x))))) x))))> 0.523 * * * * [progress]: [ 61 / 121 ] simplifiying candidate # 0.523 * * * * [progress]: [ 62 / 121 ] simplifiying candidate # 0.523 * * * * [progress]: [ 63 / 121 ] simplifiying candidate # 0.523 * * * * [progress]: [ 64 / 121 ] simplifiying candidate # 0.523 * * * * [progress]: [ 65 / 121 ] simplifiying candidate # 0.523 * * * * [progress]: [ 66 / 121 ] simplifiying candidate # 0.523 * * * * [progress]: [ 67 / 121 ] simplifiying candidate # 0.523 * * * * [progress]: [ 68 / 121 ] simplifiying candidate # 0.523 * * * * [progress]: [ 69 / 121 ] simplifiying candidate # 0.523 * * * * [progress]: [ 70 / 121 ] simplifiying candidate # 0.524 * * * * [progress]: [ 71 / 121 ] simplifiying candidate # 0.524 * * * * [progress]: [ 72 / 121 ] simplifiying candidate # 0.524 * * * * [progress]: [ 73 / 121 ] simplifiying candidate # 0.524 * * * * [progress]: [ 74 / 121 ] simplifiying candidate # 0.524 * * * * [progress]: [ 75 / 121 ] simplifiying candidate # 0.524 * * * * [progress]: [ 76 / 121 ] simplifiying candidate # 0.524 * * * * [progress]: [ 77 / 121 ] simplifiying candidate # 0.524 * * * * [progress]: [ 78 / 121 ] simplifiying candidate # 0.524 * * * * [progress]: [ 79 / 121 ] simplifiying candidate # 0.524 * * * * [progress]: [ 80 / 121 ] simplifiying candidate # 0.524 * * * * [progress]: [ 81 / 121 ] simplifiying candidate # 0.524 * * * * [progress]: [ 82 / 121 ] simplifiying candidate # 0.524 * * * * [progress]: [ 83 / 121 ] simplifiying candidate # 0.524 * * * * [progress]: [ 84 / 121 ] simplifiying candidate # 0.524 * * * * [progress]: [ 85 / 121 ] simplifiying candidate # 0.524 * * * * [progress]: [ 86 / 121 ] simplifiying candidate # 0.524 * * * * [progress]: [ 87 / 121 ] simplifiying candidate # 0.524 * * * * [progress]: [ 88 / 121 ] simplifiying candidate # 0.524 * * * * [progress]: [ 89 / 121 ] simplifiying candidate # 0.524 * * * * [progress]: [ 90 / 121 ] simplifiying candidate # 0.524 * * * * [progress]: [ 91 / 121 ] simplifiying candidate # 0.524 * * * * [progress]: [ 92 / 121 ] simplifiying candidate # 0.524 * * * * [progress]: [ 93 / 121 ] simplifiying candidate # 0.524 * * * * [progress]: [ 94 / 121 ] simplifiying candidate # 0.524 * * * * [progress]: [ 95 / 121 ] simplifiying candidate # 0.524 * * * * [progress]: [ 96 / 121 ] simplifiying candidate # 0.525 * * * * [progress]: [ 97 / 121 ] simplifiying candidate # 0.525 * * * * [progress]: [ 98 / 121 ] simplifiying candidate # 0.525 * * * * [progress]: [ 99 / 121 ] simplifiying candidate # 0.525 * * * * [progress]: [ 100 / 121 ] simplifiying candidate # 0.525 * * * * [progress]: [ 101 / 121 ] simplifiying candidate # 0.525 * * * * [progress]: [ 102 / 121 ] simplifiying candidate # 0.525 * * * * [progress]: [ 103 / 121 ] simplifiying candidate # 0.525 * * * * [progress]: [ 104 / 121 ] simplifiying candidate # 0.525 * * * * [progress]: [ 105 / 121 ] simplifiying candidate # 0.525 * * * * [progress]: [ 106 / 121 ] simplifiying candidate # 0.525 * * * * [progress]: [ 107 / 121 ] simplifiying candidate # 0.525 * * * * [progress]: [ 108 / 121 ] simplifiying candidate # 0.525 * * * * [progress]: [ 109 / 121 ] simplifiying candidate # 0.525 * * * * [progress]: [ 110 / 121 ] simplifiying candidate # 0.525 * * * * [progress]: [ 111 / 121 ] simplifiying candidate # 0.525 * * * * [progress]: [ 112 / 121 ] simplifiying candidate #real (real->posit16 (/ (sqrt (- 1 (* x x))) x))))))> 0.525 * * * * [progress]: [ 113 / 121 ] simplifiying candidate # 0.525 * * * * [progress]: [ 114 / 121 ] simplifiying candidate # 0.525 * * * * [progress]: [ 115 / 121 ] simplifiying candidate # 0.525 * * * * [progress]: [ 116 / 121 ] simplifiying candidate # 0.525 * * * * [progress]: [ 117 / 121 ] simplifiying candidate # 0.525 * * * * [progress]: [ 118 / 121 ] simplifiying candidate # 0.525 * * * * [progress]: [ 119 / 121 ] simplifiying candidate # 0.525 * * * * [progress]: [ 120 / 121 ] simplifiying candidate # 0.525 * * * * [progress]: [ 121 / 121 ] simplifiying candidate # 0.528 * [simplify]: Simplifying: (expm1 (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log1p (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (* (exp (/ 1 x)) (exp (/ (sqrt (- 1 (* x x))) x))) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (exp (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (* (* (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (* 1 x) (* x (sqrt (- 1 (* x x))))) (* x x) (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)) (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))) (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (/ (sqrt 1) (cbrt x)) (/ (sqrt (- 1 (* x x))) (cbrt x))) (+ (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1 (* x x))) (sqrt x))) (+ (/ (sqrt 1) x) (/ (sqrt (- 1 (* x x))) x)) (+ (/ 1 (cbrt x)) (/ (sqrt (- 1 (* x x))) (cbrt x))) (+ (/ 1 (sqrt x)) (/ (sqrt (- 1 (* x x))) (sqrt x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (/ 1 1) (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x)))) (+ (sqrt (- 1 (* x x))) 1) (real->posit16 (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (expm1 (sqrt (- 1 (* x x)))) (log1p (sqrt (- 1 (* x x)))) (log (sqrt (- 1 (* x x)))) (exp (sqrt (- 1 (* x x)))) (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) (cbrt (sqrt (- 1 (* x x)))) (* (* (sqrt (- 1 (* x x))) (sqrt (- 1 (* x x)))) (sqrt (- 1 (* x x)))) (sqrt (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) (sqrt (cbrt (- 1 (* x x)))) (sqrt (sqrt (- 1 (* x x)))) (sqrt (sqrt (- 1 (* x x)))) (sqrt 1) (sqrt (- 1 (* x x))) (sqrt (+ (sqrt 1) x)) (sqrt (- (sqrt 1) x)) (sqrt (+ 1 x)) (sqrt (- 1 x)) (sqrt (- (pow 1 3) (pow (* x x) 3))) (sqrt (+ (* 1 1) (+ (* (* x x) (* x x)) (* 1 (* x x))))) (sqrt (- (* 1 1) (* (* x x) (* x x)))) (sqrt (+ 1 (* x x))) (/ 1 2) (sqrt (sqrt (- 1 (* x x)))) (sqrt (sqrt (- 1 (* x x)))) (real->posit16 (sqrt (- 1 (* x x)))) (expm1 (/ (sqrt (- 1 (* x x))) x)) (log1p (/ (sqrt (- 1 (* x x))) x)) (- (log (sqrt (- 1 (* x x)))) (log x)) (log (/ (sqrt (- 1 (* x x))) x)) (exp (/ (sqrt (- 1 (* x x))) x)) (/ (* (* (sqrt (- 1 (* x x))) (sqrt (- 1 (* x x)))) (sqrt (- 1 (* x x)))) (* (* x x) x)) (* (cbrt (/ (sqrt (- 1 (* x x))) x)) (cbrt (/ (sqrt (- 1 (* x x))) x))) (cbrt (/ (sqrt (- 1 (* x x))) x)) (* (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (/ (sqrt (- 1 (* x x))) x)) (sqrt (/ (sqrt (- 1 (* x x))) x)) (sqrt (/ (sqrt (- 1 (* x x))) x)) (- (sqrt (- 1 (* x x)))) (- x) (/ (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1 (* x x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) (sqrt x)) (/ (cbrt (sqrt (- 1 (* x x)))) (sqrt x)) (/ (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) 1) (/ (cbrt (sqrt (- 1 (* x x)))) x) (/ (sqrt (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1 (* x x)))) (cbrt x)) (/ (sqrt (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) (sqrt x)) (/ (sqrt (cbrt (- 1 (* x x)))) (sqrt x)) (/ (sqrt (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) 1) (/ (sqrt (cbrt (- 1 (* x x)))) x) (/ (sqrt (sqrt (- 1 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1 (* x x)))) 1) (/ (sqrt (sqrt (- 1 (* x x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1 (* x x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1 (* x x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (+ (sqrt 1) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1) x)) (cbrt x)) (/ (sqrt (+ (sqrt 1) x)) (sqrt x)) (/ (sqrt (- (sqrt 1) x)) (sqrt x)) (/ (sqrt (+ (sqrt 1) x)) 1) (/ (sqrt (- (sqrt 1) x)) x) (/ (sqrt (+ 1 x)) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1 x)) (cbrt x)) (/ (sqrt (+ 1 x)) (sqrt x)) (/ (sqrt (- 1 x)) (sqrt x)) (/ (sqrt (+ 1 x)) 1) (/ (sqrt (- 1 x)) x) (/ (sqrt (sqrt (- 1 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1 (* x x)))) 1) (/ (sqrt (sqrt (- 1 (* x x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1 (* x x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1 (* x x))) (sqrt x)) (/ 1 1) (/ (sqrt (- 1 (* x x))) x) (/ 1 x) (/ x (sqrt (- 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1 (* x x))) (sqrt x)) (/ (sqrt (- 1 (* x x))) 1) (/ x (cbrt (sqrt (- 1 (* x x))))) (/ x (sqrt (cbrt (- 1 (* x x))))) (/ x (sqrt (sqrt (- 1 (* x x))))) (/ x (sqrt (- 1 (* x x)))) (/ x (sqrt (- (sqrt 1) x))) (/ x (sqrt (- 1 x))) (/ x (sqrt (sqrt (- 1 (* x x))))) (/ x (sqrt (- 1 (* x x)))) (* x (sqrt (+ (* 1 1) (+ (* (* x x) (* x x)) (* 1 (* x x)))))) (* x (sqrt (+ 1 (* x x)))) (real->posit16 (/ (sqrt (- 1 (* x x))) x)) (- (* 2 (/ 1 x)) (+ (* 1/2 x) (* 1/8 (pow x 3)))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (/ 1 x))) (- (/ 1 x) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) (- 1 (+ (* 1/2 (pow x 2)) (* 1/8 (pow x 4)))) (+ (* 1/2 (/ 1 (* x (sqrt -1)))) (+ (* 1/8 (/ 1 (* (pow x 3) (sqrt -1)))) (* x (sqrt -1)))) (- (+ (* 1/2 (/ 1 (* x (sqrt -1)))) (+ (* 1/8 (/ 1 (* (pow x 3) (sqrt -1)))) (* x (sqrt -1))))) (- (/ 1 x) (+ (* 1/2 x) (* 1/8 (pow x 3)))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/8 (/ 1 (* (pow x 4) (sqrt -1)))))) (- (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/8 (/ 1 (* (pow x 4) (sqrt -1))))))) 0.529 * * [simplify]: iteration 0: 189 enodes 0.599 * * [simplify]: iteration 1: 434 enodes 0.859 * * [simplify]: iteration 2: 1215 enodes 1.950 * * [simplify]: iteration 3: 4124 enodes 2.952 * * [simplify]: iteration complete: 5000 enodes 2.952 * * [simplify]: Extracting #0: cost 94 inf + 0 2.953 * * [simplify]: Extracting #1: cost 428 inf + 2 2.958 * * [simplify]: Extracting #2: cost 934 inf + 5081 2.967 * * [simplify]: Extracting #3: cost 810 inf + 33989 3.008 * * [simplify]: Extracting #4: cost 223 inf + 164812 3.100 * * [simplify]: Extracting #5: cost 5 inf + 230452 3.201 * * [simplify]: Extracting #6: cost 0 inf + 229595 3.274 * [simplify]: Simplified to: (expm1 (fma (/ 1 x) (sqrt (- 1 (* x x))) (/ 1 x))) (log1p (fma (/ 1 x) (sqrt (- 1 (* x x))) (/ 1 x))) (exp (fma (/ 1 x) (sqrt (- 1 (* x x))) (/ 1 x))) (log (fma (/ 1 x) (sqrt (- 1 (* x x))) (/ 1 x))) (exp (fma (/ 1 x) (sqrt (- 1 (* x x))) (/ 1 x))) (* (cbrt (fma (/ 1 x) (sqrt (- 1 (* x x))) (/ 1 x))) (cbrt (fma (/ 1 x) (sqrt (- 1 (* x x))) (/ 1 x)))) (cbrt (fma (/ 1 x) (sqrt (- 1 (* x x))) (/ 1 x))) (* (* (fma (/ 1 x) (sqrt (- 1 (* x x))) (/ 1 x)) (fma (/ 1 x) (sqrt (- 1 (* x x))) (/ 1 x))) (fma (/ 1 x) (sqrt (- 1 (* x x))) (/ 1 x))) (sqrt (fma (/ 1 x) (sqrt (- 1 (* x x))) (/ 1 x))) (sqrt (fma (/ 1 x) (sqrt (- 1 (* x x))) (/ 1 x))) (fma x (sqrt (- 1 (* x x))) x) (* x x) (fma (/ 1 x) (/ (/ 1 x) x) (/ (* (/ (sqrt (- 1 (* x x))) x) (- 1 (* x x))) (* x x))) (fma (/ (sqrt (- 1 (* x x))) x) (- (/ (sqrt (- 1 (* x x))) x) (/ 1 x)) (/ (/ 1 x) x)) (- (/ (/ 1 x) x) (/ (/ (- 1 (* x x)) x) x)) (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (/ 1 (cbrt x)) (/ (sqrt (- 1 (* x x))) (cbrt x))) (+ (/ (sqrt (- 1 (* x x))) (sqrt x)) (/ 1 (sqrt x))) (fma (/ 1 x) (sqrt (- 1 (* x x))) (/ 1 x)) (+ (/ (sqrt (- 1 (* x x))) (cbrt x)) (/ 1 (cbrt x))) (+ (/ (sqrt (- 1 (* x x))) (sqrt x)) (/ 1 (sqrt x))) (fma (/ 1 x) (sqrt (- 1 (* x x))) (/ 1 x)) (fma (/ 1 x) (sqrt (- 1 (* x x))) (/ 1 x)) (fma (/ 1 x) (sqrt (- 1 (* x x))) (/ 1 x)) (+ 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x)))) (real->posit16 (fma (/ 1 x) (sqrt (- 1 (* x x))) (/ 1 x))) (expm1 (sqrt (- 1 (* x x)))) (log1p (sqrt (- 1 (* x x)))) (log (sqrt (- 1 (* x x)))) (exp (sqrt (- 1 (* x x)))) (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) (cbrt (sqrt (- 1 (* x x)))) (* (- 1 (* x x)) (sqrt (- 1 (* x x)))) (fabs (cbrt (- 1 (* x x)))) (sqrt (cbrt (- 1 (* x x)))) (sqrt (sqrt (- 1 (* x x)))) (sqrt (sqrt (- 1 (* x x)))) 1 (sqrt (- 1 (* x x))) (sqrt (+ x 1)) (sqrt (- 1 x)) (sqrt (+ x 1)) (sqrt (- 1 x)) (sqrt (- 1 (* (* (* x x) x) (* (* x x) x)))) (sqrt (+ (* x x) (fma (* x x) (* x x) 1))) (sqrt (- 1 (* (* x x) (* x x)))) (hypot x 1) 1/2 (sqrt (sqrt (- 1 (* x x)))) (sqrt (sqrt (- 1 (* x x)))) (real->posit16 (sqrt (- 1 (* x x)))) (expm1 (/ (sqrt (- 1 (* x x))) x)) (log1p (/ (sqrt (- 1 (* x x))) x)) (log (/ (sqrt (- 1 (* x x))) x)) (log (/ (sqrt (- 1 (* x x))) x)) (exp (/ (sqrt (- 1 (* x x))) x)) (/ (* (/ (sqrt (- 1 (* x x))) x) (- 1 (* x x))) (* x x)) (* (cbrt (/ (sqrt (- 1 (* x x))) x)) (cbrt (/ (sqrt (- 1 (* x x))) x))) (cbrt (/ (sqrt (- 1 (* x x))) x)) (/ (* (/ (sqrt (- 1 (* x x))) x) (- 1 (* x x))) (* x x)) (sqrt (/ (sqrt (- 1 (* x x))) x)) (sqrt (/ (sqrt (- 1 (* x x))) x)) (- (sqrt (- 1 (* x x)))) (- x) (* (/ (cbrt (sqrt (- 1 (* x x)))) (cbrt x)) (/ (cbrt (sqrt (- 1 (* x x)))) (cbrt x))) (/ (cbrt (sqrt (- 1 (* x x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) (sqrt x)) (/ (cbrt (sqrt (- 1 (* x x)))) (sqrt x)) (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) (/ (cbrt (sqrt (- 1 (* x x)))) x) (/ (fabs (cbrt (- 1 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1 (* x x)))) (cbrt x)) (/ (fabs (cbrt (- 1 (* x x)))) (sqrt x)) (/ (sqrt (cbrt (- 1 (* x x)))) (sqrt x)) (fabs (cbrt (- 1 (* x x)))) (/ (sqrt (cbrt (- 1 (* x x)))) x) (/ (sqrt (sqrt (- 1 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1 (* x x)))) (sqrt x)) (sqrt (sqrt (- 1 (* x x)))) (/ (sqrt (sqrt (- 1 (* x x)))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (sqrt (- 1 (* x x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1 (* x x))) (sqrt x)) 1 (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (+ x 1)) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1 x)) (cbrt x)) (/ (sqrt (+ x 1)) (sqrt x)) (/ (sqrt (- 1 x)) (sqrt x)) (sqrt (+ x 1)) (/ (sqrt (- 1 x)) x) (/ (sqrt (+ x 1)) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1 x)) (cbrt x)) (/ (sqrt (+ x 1)) (sqrt x)) (/ (sqrt (- 1 x)) (sqrt x)) (sqrt (+ x 1)) (/ (sqrt (- 1 x)) x) (/ (sqrt (sqrt (- 1 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1 (* x x)))) (sqrt x)) (sqrt (sqrt (- 1 (* x x)))) (/ (sqrt (sqrt (- 1 (* x x)))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (sqrt (- 1 (* x x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1 (* x x))) (sqrt x)) 1 (/ (sqrt (- 1 (* x x))) x) (/ 1 x) (/ x (sqrt (- 1 (* x x)))) (/ (sqrt (- 1 (* x x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1 (* x x))) (sqrt x)) (sqrt (- 1 (* x x))) (/ x (cbrt (sqrt (- 1 (* x x))))) (/ x (sqrt (cbrt (- 1 (* x x))))) (/ x (sqrt (sqrt (- 1 (* x x))))) (/ x (sqrt (- 1 (* x x)))) (/ x (sqrt (- 1 x))) (/ x (sqrt (- 1 x))) (/ x (sqrt (sqrt (- 1 (* x x))))) (/ x (sqrt (- 1 (* x x)))) (* x (sqrt (+ (* x x) (fma (* x x) (* x x) 1)))) (* (hypot x 1) x) (real->posit16 (/ (sqrt (- 1 (* x x))) x)) (+ (fma (* (* x x) x) -1/8 (* -1/2 x)) (/ 2 x)) (+ (+ (/ (/ 1/2 (* x x)) (sqrt -1)) (sqrt -1)) (/ 1 x)) (- (- (/ 1 x) (sqrt -1)) (/ (/ 1/2 (* x x)) (sqrt -1))) (- 1 (* (* x x) (fma 1/8 (* x x) 1/2))) (+ (/ (/ 1/8 (sqrt -1)) (* (* x x) x)) (fma (sqrt -1) x (/ (/ 1/2 x) (sqrt -1)))) (- (- (/ -1/2 (* x (sqrt -1))) (/ (/ 1/8 (sqrt -1)) (* (* x x) x))) (* x (sqrt -1))) (fma -1/2 x (fma (* (* x x) x) -1/8 (/ 1 x))) (+ (/ (/ (/ 1/8 (* x x)) (* x x)) (sqrt -1)) (+ (/ (/ 1/2 (* x x)) (sqrt -1)) (sqrt -1))) (- (- (/ -1/2 (* (* x x) (sqrt -1))) (/ (/ (/ 1/8 (* x x)) (* x x)) (sqrt -1))) (sqrt -1)) 3.283 * * * [progress]: adding candidates to table 3.807 * * [progress]: iteration 2 / 4 3.807 * * * [progress]: picking best candidate 3.811 * * * * [pick]: Picked # 3.812 * * * [progress]: localizing error 3.830 * * * [progress]: generating rewritten candidates 3.830 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 3.913 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 3.928 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2 2) 3.945 * * * [progress]: generating series expansions 3.945 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 3.945 * [backup-simplify]: Simplify (* (/ 1 x) (+ 1 (sqrt (- 1 (* x x))))) into (/ (+ 1 (sqrt (- 1 (pow x 2)))) x) 3.945 * [approximate]: Taking taylor expansion of (/ (+ 1 (sqrt (- 1 (pow x 2)))) x) in (x) around 0 3.945 * [taylor]: Taking taylor expansion of (/ (+ 1 (sqrt (- 1 (pow x 2)))) x) in x 3.945 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (- 1 (pow x 2)))) in x 3.945 * [taylor]: Taking taylor expansion of 1 in x 3.945 * [backup-simplify]: Simplify 1 into 1 3.945 * [taylor]: Taking taylor expansion of (sqrt (- 1 (pow x 2))) in x 3.945 * [taylor]: Taking taylor expansion of (- 1 (pow x 2)) in x 3.945 * [taylor]: Taking taylor expansion of 1 in x 3.945 * [backup-simplify]: Simplify 1 into 1 3.945 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.945 * [taylor]: Taking taylor expansion of x in x 3.945 * [backup-simplify]: Simplify 0 into 0 3.945 * [backup-simplify]: Simplify 1 into 1 3.946 * [backup-simplify]: Simplify (+ 1 0) into 1 3.946 * [backup-simplify]: Simplify (sqrt 1) into 1 3.946 * [backup-simplify]: Simplify (+ 0 0) into 0 3.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.947 * [taylor]: Taking taylor expansion of x in x 3.947 * [backup-simplify]: Simplify 0 into 0 3.947 * [backup-simplify]: Simplify 1 into 1 3.947 * [backup-simplify]: Simplify (+ 1 1) into 2 3.947 * [backup-simplify]: Simplify (/ 2 1) into 2 3.947 * [taylor]: Taking taylor expansion of (/ (+ 1 (sqrt (- 1 (pow x 2)))) x) in x 3.947 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (- 1 (pow x 2)))) in x 3.947 * [taylor]: Taking taylor expansion of 1 in x 3.947 * [backup-simplify]: Simplify 1 into 1 3.947 * [taylor]: Taking taylor expansion of (sqrt (- 1 (pow x 2))) in x 3.947 * [taylor]: Taking taylor expansion of (- 1 (pow x 2)) in x 3.947 * [taylor]: Taking taylor expansion of 1 in x 3.947 * [backup-simplify]: Simplify 1 into 1 3.947 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.947 * [taylor]: Taking taylor expansion of x in x 3.947 * [backup-simplify]: Simplify 0 into 0 3.947 * [backup-simplify]: Simplify 1 into 1 3.948 * [backup-simplify]: Simplify (+ 1 0) into 1 3.948 * [backup-simplify]: Simplify (sqrt 1) into 1 3.948 * [backup-simplify]: Simplify (+ 0 0) into 0 3.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.949 * [taylor]: Taking taylor expansion of x in x 3.949 * [backup-simplify]: Simplify 0 into 0 3.949 * [backup-simplify]: Simplify 1 into 1 3.949 * [backup-simplify]: Simplify (+ 1 1) into 2 3.949 * [backup-simplify]: Simplify (/ 2 1) into 2 3.949 * [backup-simplify]: Simplify 2 into 2 3.949 * [backup-simplify]: Simplify (+ 0 0) into 0 3.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 3.950 * [backup-simplify]: Simplify 0 into 0 3.950 * [backup-simplify]: Simplify (* 1 1) into 1 3.950 * [backup-simplify]: Simplify (- 1) into -1 3.951 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.951 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 3.952 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.952 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 3.952 * [backup-simplify]: Simplify -1/2 into -1/2 3.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.953 * [backup-simplify]: Simplify (- 0) into 0 3.953 * [backup-simplify]: Simplify (+ 0 0) into 0 3.954 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 3.954 * [backup-simplify]: Simplify (+ 0 0) into 0 3.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 3.955 * [backup-simplify]: Simplify 0 into 0 3.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.956 * [backup-simplify]: Simplify (- 0) into 0 3.956 * [backup-simplify]: Simplify (+ 0 0) into 0 3.957 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.957 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 3.958 * [backup-simplify]: Simplify (- (/ -1/8 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/8 3.958 * [backup-simplify]: Simplify -1/8 into -1/8 3.958 * [backup-simplify]: Simplify (+ (* -1/8 (pow x 3)) (+ (* -1/2 x) (* 2 (/ 1 x)))) into (- (* 2 (/ 1 x)) (+ (* 1/2 x) (* 1/8 (pow x 3)))) 3.959 * [backup-simplify]: Simplify (* (/ 1 (/ 1 x)) (+ 1 (sqrt (- 1 (* (/ 1 x) (/ 1 x)))))) into (* x (+ (sqrt (- 1 (/ 1 (pow x 2)))) 1)) 3.959 * [approximate]: Taking taylor expansion of (* x (+ (sqrt (- 1 (/ 1 (pow x 2)))) 1)) in (x) around 0 3.959 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1 (/ 1 (pow x 2)))) 1)) in x 3.959 * [taylor]: Taking taylor expansion of x in x 3.959 * [backup-simplify]: Simplify 0 into 0 3.959 * [backup-simplify]: Simplify 1 into 1 3.959 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 (pow x 2)))) 1) in x 3.959 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 3.959 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 3.959 * [taylor]: Taking taylor expansion of 1 in x 3.959 * [backup-simplify]: Simplify 1 into 1 3.959 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.959 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.959 * [taylor]: Taking taylor expansion of x in x 3.959 * [backup-simplify]: Simplify 0 into 0 3.959 * [backup-simplify]: Simplify 1 into 1 3.959 * [backup-simplify]: Simplify (* 1 1) into 1 3.959 * [backup-simplify]: Simplify (/ 1 1) into 1 3.960 * [backup-simplify]: Simplify (- 1) into -1 3.960 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.960 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.961 * [backup-simplify]: Simplify (- 0) into 0 3.961 * [backup-simplify]: Simplify (+ 0 0) into 0 3.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.962 * [taylor]: Taking taylor expansion of 1 in x 3.962 * [backup-simplify]: Simplify 1 into 1 3.962 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1 (/ 1 (pow x 2)))) 1)) in x 3.962 * [taylor]: Taking taylor expansion of x in x 3.962 * [backup-simplify]: Simplify 0 into 0 3.962 * [backup-simplify]: Simplify 1 into 1 3.962 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 (pow x 2)))) 1) in x 3.962 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 3.962 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 3.962 * [taylor]: Taking taylor expansion of 1 in x 3.962 * [backup-simplify]: Simplify 1 into 1 3.962 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.962 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.962 * [taylor]: Taking taylor expansion of x in x 3.962 * [backup-simplify]: Simplify 0 into 0 3.962 * [backup-simplify]: Simplify 1 into 1 3.962 * [backup-simplify]: Simplify (* 1 1) into 1 3.963 * [backup-simplify]: Simplify (/ 1 1) into 1 3.963 * [backup-simplify]: Simplify (- 1) into -1 3.963 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.963 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.964 * [backup-simplify]: Simplify (- 0) into 0 3.965 * [backup-simplify]: Simplify (+ 0 0) into 0 3.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.965 * [taylor]: Taking taylor expansion of 1 in x 3.965 * [backup-simplify]: Simplify 1 into 1 3.966 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 3.966 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 3.966 * [backup-simplify]: Simplify 0 into 0 3.966 * [backup-simplify]: Simplify (+ 0 1) into 1 3.968 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (sqrt -1))) into (sqrt -1) 3.968 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.970 * [backup-simplify]: Simplify (- 0) into 0 3.970 * [backup-simplify]: Simplify (+ 1 0) into 1 3.971 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 3.972 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt -1)) 0) into (* 1/2 (/ 1 (sqrt -1))) 3.973 * [backup-simplify]: Simplify (+ (* 0 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 1 1) (* 0 (sqrt -1)))) into 1 3.973 * [backup-simplify]: Simplify 1 into 1 3.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.975 * [backup-simplify]: Simplify (- 0) into 0 3.975 * [backup-simplify]: Simplify (+ 0 0) into 0 3.976 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 3.976 * [backup-simplify]: Simplify (+ 0 0) into 0 3.981 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 0 1) (* 0 (sqrt -1))))) into (* 1/2 (/ 1 (sqrt -1))) 3.981 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) 3.982 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* 1 (/ 1 x)) (sqrt -1))) into (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (/ 1 x))) 3.983 * [backup-simplify]: Simplify (* (/ 1 (/ 1 (- x))) (+ 1 (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))))) into (* -1 (* x (+ (sqrt (- 1 (/ 1 (pow x 2)))) 1))) 3.983 * [approximate]: Taking taylor expansion of (* -1 (* x (+ (sqrt (- 1 (/ 1 (pow x 2)))) 1))) in (x) around 0 3.983 * [taylor]: Taking taylor expansion of (* -1 (* x (+ (sqrt (- 1 (/ 1 (pow x 2)))) 1))) in x 3.983 * [taylor]: Taking taylor expansion of -1 in x 3.983 * [backup-simplify]: Simplify -1 into -1 3.983 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1 (/ 1 (pow x 2)))) 1)) in x 3.983 * [taylor]: Taking taylor expansion of x in x 3.983 * [backup-simplify]: Simplify 0 into 0 3.983 * [backup-simplify]: Simplify 1 into 1 3.983 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 (pow x 2)))) 1) in x 3.983 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 3.983 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 3.983 * [taylor]: Taking taylor expansion of 1 in x 3.983 * [backup-simplify]: Simplify 1 into 1 3.983 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.983 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.983 * [taylor]: Taking taylor expansion of x in x 3.983 * [backup-simplify]: Simplify 0 into 0 3.983 * [backup-simplify]: Simplify 1 into 1 3.983 * [backup-simplify]: Simplify (* 1 1) into 1 3.983 * [backup-simplify]: Simplify (/ 1 1) into 1 3.984 * [backup-simplify]: Simplify (- 1) into -1 3.984 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.984 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.985 * [backup-simplify]: Simplify (- 0) into 0 3.986 * [backup-simplify]: Simplify (+ 0 0) into 0 3.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.986 * [taylor]: Taking taylor expansion of 1 in x 3.986 * [backup-simplify]: Simplify 1 into 1 3.986 * [taylor]: Taking taylor expansion of (* -1 (* x (+ (sqrt (- 1 (/ 1 (pow x 2)))) 1))) in x 3.986 * [taylor]: Taking taylor expansion of -1 in x 3.986 * [backup-simplify]: Simplify -1 into -1 3.986 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1 (/ 1 (pow x 2)))) 1)) in x 3.986 * [taylor]: Taking taylor expansion of x in x 3.986 * [backup-simplify]: Simplify 0 into 0 3.986 * [backup-simplify]: Simplify 1 into 1 3.986 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 (pow x 2)))) 1) in x 3.986 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 3.986 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 3.986 * [taylor]: Taking taylor expansion of 1 in x 3.986 * [backup-simplify]: Simplify 1 into 1 3.986 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.986 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.986 * [taylor]: Taking taylor expansion of x in x 3.986 * [backup-simplify]: Simplify 0 into 0 3.986 * [backup-simplify]: Simplify 1 into 1 3.987 * [backup-simplify]: Simplify (* 1 1) into 1 3.987 * [backup-simplify]: Simplify (/ 1 1) into 1 3.987 * [backup-simplify]: Simplify (- 1) into -1 3.987 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.988 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.989 * [backup-simplify]: Simplify (- 0) into 0 3.989 * [backup-simplify]: Simplify (+ 0 0) into 0 3.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.989 * [taylor]: Taking taylor expansion of 1 in x 3.989 * [backup-simplify]: Simplify 1 into 1 3.990 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 3.990 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 3.991 * [backup-simplify]: Simplify (* -1 0) into 0 3.991 * [backup-simplify]: Simplify 0 into 0 3.991 * [backup-simplify]: Simplify (+ 0 1) into 1 3.992 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (sqrt -1))) into (sqrt -1) 3.994 * [backup-simplify]: Simplify (+ (* -1 (sqrt -1)) (* 0 0)) into (- (sqrt -1)) 3.994 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 3.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.995 * [backup-simplify]: Simplify (- 0) into 0 3.996 * [backup-simplify]: Simplify (+ 1 0) into 1 3.997 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 3.998 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt -1)) 0) into (* 1/2 (/ 1 (sqrt -1))) 3.999 * [backup-simplify]: Simplify (+ (* 0 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 1 1) (* 0 (sqrt -1)))) into 1 4.000 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 (sqrt -1)) (* 0 0))) into -1 4.000 * [backup-simplify]: Simplify -1 into -1 4.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.001 * [backup-simplify]: Simplify (- 0) into 0 4.002 * [backup-simplify]: Simplify (+ 0 0) into 0 4.002 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 4.003 * [backup-simplify]: Simplify (+ 0 0) into 0 4.007 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 0 1) (* 0 (sqrt -1))))) into (* 1/2 (/ 1 (sqrt -1))) 4.010 * [backup-simplify]: Simplify (+ (* -1 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 0 1) (+ (* 0 (sqrt -1)) (* 0 0)))) into (- (* 1/2 (/ 1 (sqrt -1)))) 4.011 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) 4.014 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 2)) (+ (* -1 (/ 1 (- x))) (- (sqrt -1)))) into (- (/ 1 x) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) 4.014 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 4.014 * [backup-simplify]: Simplify (+ 1 (sqrt (- 1 (* x x)))) into (+ 1 (sqrt (- 1 (pow x 2)))) 4.014 * [approximate]: Taking taylor expansion of (+ 1 (sqrt (- 1 (pow x 2)))) in (x) around 0 4.014 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (- 1 (pow x 2)))) in x 4.014 * [taylor]: Taking taylor expansion of 1 in x 4.014 * [backup-simplify]: Simplify 1 into 1 4.014 * [taylor]: Taking taylor expansion of (sqrt (- 1 (pow x 2))) in x 4.014 * [taylor]: Taking taylor expansion of (- 1 (pow x 2)) in x 4.014 * [taylor]: Taking taylor expansion of 1 in x 4.014 * [backup-simplify]: Simplify 1 into 1 4.014 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.014 * [taylor]: Taking taylor expansion of x in x 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify 1 into 1 4.014 * [backup-simplify]: Simplify (+ 1 0) into 1 4.015 * [backup-simplify]: Simplify (sqrt 1) into 1 4.015 * [backup-simplify]: Simplify (+ 0 0) into 0 4.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.015 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (- 1 (pow x 2)))) in x 4.015 * [taylor]: Taking taylor expansion of 1 in x 4.015 * [backup-simplify]: Simplify 1 into 1 4.015 * [taylor]: Taking taylor expansion of (sqrt (- 1 (pow x 2))) in x 4.015 * [taylor]: Taking taylor expansion of (- 1 (pow x 2)) in x 4.015 * [taylor]: Taking taylor expansion of 1 in x 4.015 * [backup-simplify]: Simplify 1 into 1 4.015 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.015 * [taylor]: Taking taylor expansion of x in x 4.015 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify 1 into 1 4.016 * [backup-simplify]: Simplify (+ 1 0) into 1 4.016 * [backup-simplify]: Simplify (sqrt 1) into 1 4.016 * [backup-simplify]: Simplify (+ 0 0) into 0 4.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.017 * [backup-simplify]: Simplify (+ 1 1) into 2 4.017 * [backup-simplify]: Simplify 2 into 2 4.017 * [backup-simplify]: Simplify (+ 0 0) into 0 4.017 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify (* 1 1) into 1 4.018 * [backup-simplify]: Simplify (- 1) into -1 4.018 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.019 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 4.019 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.019 * [backup-simplify]: Simplify -1/2 into -1/2 4.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.021 * [backup-simplify]: Simplify (- 0) into 0 4.022 * [backup-simplify]: Simplify (+ 0 0) into 0 4.022 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 4.022 * [backup-simplify]: Simplify (+ 0 0) into 0 4.022 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.023 * [backup-simplify]: Simplify (- 0) into 0 4.024 * [backup-simplify]: Simplify (+ 0 0) into 0 4.025 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.025 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 4.025 * [backup-simplify]: Simplify -1/8 into -1/8 4.025 * [backup-simplify]: Simplify (+ (* -1/8 (pow x 4)) (+ (* -1/2 (pow x 2)) 2)) into (- 2 (+ (* 1/2 (pow x 2)) (* 1/8 (pow x 4)))) 4.025 * [backup-simplify]: Simplify (+ 1 (sqrt (- 1 (* (/ 1 x) (/ 1 x))))) into (+ (sqrt (- 1 (/ 1 (pow x 2)))) 1) 4.025 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 (pow x 2)))) 1) in (x) around 0 4.025 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 (pow x 2)))) 1) in x 4.025 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 4.025 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 4.025 * [taylor]: Taking taylor expansion of 1 in x 4.025 * [backup-simplify]: Simplify 1 into 1 4.025 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.025 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.025 * [taylor]: Taking taylor expansion of x in x 4.025 * [backup-simplify]: Simplify 0 into 0 4.026 * [backup-simplify]: Simplify 1 into 1 4.026 * [backup-simplify]: Simplify (* 1 1) into 1 4.026 * [backup-simplify]: Simplify (/ 1 1) into 1 4.026 * [backup-simplify]: Simplify (- 1) into -1 4.026 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.027 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.028 * [backup-simplify]: Simplify (- 0) into 0 4.029 * [backup-simplify]: Simplify (+ 0 0) into 0 4.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.029 * [taylor]: Taking taylor expansion of 1 in x 4.029 * [backup-simplify]: Simplify 1 into 1 4.029 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 (pow x 2)))) 1) in x 4.029 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 4.029 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 4.029 * [taylor]: Taking taylor expansion of 1 in x 4.029 * [backup-simplify]: Simplify 1 into 1 4.029 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.029 * [taylor]: Taking taylor expansion of x in x 4.029 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify 1 into 1 4.030 * [backup-simplify]: Simplify (* 1 1) into 1 4.030 * [backup-simplify]: Simplify (/ 1 1) into 1 4.031 * [backup-simplify]: Simplify (- 1) into -1 4.031 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.031 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.033 * [backup-simplify]: Simplify (- 0) into 0 4.033 * [backup-simplify]: Simplify (+ 0 0) into 0 4.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.034 * [taylor]: Taking taylor expansion of 1 in x 4.034 * [backup-simplify]: Simplify 1 into 1 4.035 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 4.036 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.036 * [backup-simplify]: Simplify (+ 0 1) into 1 4.036 * [backup-simplify]: Simplify 1 into 1 4.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.038 * [backup-simplify]: Simplify (- 0) into 0 4.038 * [backup-simplify]: Simplify (+ 1 0) into 1 4.041 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 4.043 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt -1)) 0) into (* 1/2 (/ 1 (sqrt -1))) 4.044 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) 4.046 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt -1)) (/ 1 x)) (+ 1 (* (sqrt -1) (/ 1 (/ 1 x))))) into (+ (* x (sqrt -1)) (+ (* 1/2 (/ 1 (* x (sqrt -1)))) 1)) 4.046 * [backup-simplify]: Simplify (+ 1 (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) into (+ (sqrt (- 1 (/ 1 (pow x 2)))) 1) 4.046 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 (pow x 2)))) 1) in (x) around 0 4.046 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 (pow x 2)))) 1) in x 4.046 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 4.046 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 4.046 * [taylor]: Taking taylor expansion of 1 in x 4.046 * [backup-simplify]: Simplify 1 into 1 4.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.046 * [taylor]: Taking taylor expansion of x in x 4.046 * [backup-simplify]: Simplify 0 into 0 4.046 * [backup-simplify]: Simplify 1 into 1 4.047 * [backup-simplify]: Simplify (* 1 1) into 1 4.047 * [backup-simplify]: Simplify (/ 1 1) into 1 4.047 * [backup-simplify]: Simplify (- 1) into -1 4.048 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.048 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.049 * [backup-simplify]: Simplify (- 0) into 0 4.049 * [backup-simplify]: Simplify (+ 0 0) into 0 4.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.050 * [taylor]: Taking taylor expansion of 1 in x 4.050 * [backup-simplify]: Simplify 1 into 1 4.050 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 (pow x 2)))) 1) in x 4.050 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 4.050 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 4.050 * [taylor]: Taking taylor expansion of 1 in x 4.050 * [backup-simplify]: Simplify 1 into 1 4.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.050 * [taylor]: Taking taylor expansion of x in x 4.050 * [backup-simplify]: Simplify 0 into 0 4.050 * [backup-simplify]: Simplify 1 into 1 4.050 * [backup-simplify]: Simplify (* 1 1) into 1 4.050 * [backup-simplify]: Simplify (/ 1 1) into 1 4.051 * [backup-simplify]: Simplify (- 1) into -1 4.051 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.051 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.052 * [backup-simplify]: Simplify (- 0) into 0 4.053 * [backup-simplify]: Simplify (+ 0 0) into 0 4.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.053 * [taylor]: Taking taylor expansion of 1 in x 4.053 * [backup-simplify]: Simplify 1 into 1 4.054 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 4.054 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.054 * [backup-simplify]: Simplify (+ 0 1) into 1 4.054 * [backup-simplify]: Simplify 1 into 1 4.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.056 * [backup-simplify]: Simplify (- 0) into 0 4.056 * [backup-simplify]: Simplify (+ 1 0) into 1 4.057 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 4.058 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt -1)) 0) into (* 1/2 (/ 1 (sqrt -1))) 4.059 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) 4.060 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt -1)) (/ 1 (- x))) (+ 1 (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- 1 (+ (* x (sqrt -1)) (* 1/2 (/ 1 (* x (sqrt -1)))))) 4.060 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2 2) 4.061 * [backup-simplify]: Simplify (sqrt (- 1 (* x x))) into (sqrt (- 1 (pow x 2))) 4.061 * [approximate]: Taking taylor expansion of (sqrt (- 1 (pow x 2))) in (x) around 0 4.061 * [taylor]: Taking taylor expansion of (sqrt (- 1 (pow x 2))) in x 4.061 * [taylor]: Taking taylor expansion of (- 1 (pow x 2)) in x 4.061 * [taylor]: Taking taylor expansion of 1 in x 4.061 * [backup-simplify]: Simplify 1 into 1 4.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.061 * [taylor]: Taking taylor expansion of x in x 4.061 * [backup-simplify]: Simplify 0 into 0 4.061 * [backup-simplify]: Simplify 1 into 1 4.061 * [backup-simplify]: Simplify (+ 1 0) into 1 4.061 * [backup-simplify]: Simplify (sqrt 1) into 1 4.061 * [backup-simplify]: Simplify (+ 0 0) into 0 4.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.062 * [taylor]: Taking taylor expansion of (sqrt (- 1 (pow x 2))) in x 4.062 * [taylor]: Taking taylor expansion of (- 1 (pow x 2)) in x 4.062 * [taylor]: Taking taylor expansion of 1 in x 4.062 * [backup-simplify]: Simplify 1 into 1 4.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.062 * [taylor]: Taking taylor expansion of x in x 4.062 * [backup-simplify]: Simplify 0 into 0 4.062 * [backup-simplify]: Simplify 1 into 1 4.062 * [backup-simplify]: Simplify (+ 1 0) into 1 4.063 * [backup-simplify]: Simplify (sqrt 1) into 1 4.063 * [backup-simplify]: Simplify (+ 0 0) into 0 4.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.063 * [backup-simplify]: Simplify 1 into 1 4.063 * [backup-simplify]: Simplify 0 into 0 4.064 * [backup-simplify]: Simplify (* 1 1) into 1 4.064 * [backup-simplify]: Simplify (- 1) into -1 4.064 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.065 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 4.065 * [backup-simplify]: Simplify -1/2 into -1/2 4.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.065 * [backup-simplify]: Simplify (- 0) into 0 4.066 * [backup-simplify]: Simplify (+ 0 0) into 0 4.066 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 4.066 * [backup-simplify]: Simplify 0 into 0 4.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.067 * [backup-simplify]: Simplify (- 0) into 0 4.067 * [backup-simplify]: Simplify (+ 0 0) into 0 4.068 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.068 * [backup-simplify]: Simplify -1/8 into -1/8 4.068 * [backup-simplify]: Simplify (+ (* -1/8 (pow x 4)) (+ (* -1/2 (pow x 2)) 1)) into (- 1 (+ (* 1/2 (pow x 2)) (* 1/8 (pow x 4)))) 4.069 * [backup-simplify]: Simplify (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1 (/ 1 (pow x 2)))) 4.069 * [approximate]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in (x) around 0 4.069 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 4.069 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 4.069 * [taylor]: Taking taylor expansion of 1 in x 4.069 * [backup-simplify]: Simplify 1 into 1 4.069 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.069 * [taylor]: Taking taylor expansion of x in x 4.069 * [backup-simplify]: Simplify 0 into 0 4.069 * [backup-simplify]: Simplify 1 into 1 4.069 * [backup-simplify]: Simplify (* 1 1) into 1 4.069 * [backup-simplify]: Simplify (/ 1 1) into 1 4.069 * [backup-simplify]: Simplify (- 1) into -1 4.070 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.070 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.071 * [backup-simplify]: Simplify (- 0) into 0 4.071 * [backup-simplify]: Simplify (+ 0 0) into 0 4.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.072 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 4.072 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 4.072 * [taylor]: Taking taylor expansion of 1 in x 4.072 * [backup-simplify]: Simplify 1 into 1 4.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.072 * [taylor]: Taking taylor expansion of x in x 4.072 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify 1 into 1 4.072 * [backup-simplify]: Simplify (* 1 1) into 1 4.072 * [backup-simplify]: Simplify (/ 1 1) into 1 4.073 * [backup-simplify]: Simplify (- 1) into -1 4.073 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.073 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.074 * [backup-simplify]: Simplify (- 0) into 0 4.075 * [backup-simplify]: Simplify (+ 0 0) into 0 4.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.075 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.075 * [backup-simplify]: Simplify 0 into 0 4.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.078 * [backup-simplify]: Simplify (- 0) into 0 4.078 * [backup-simplify]: Simplify (+ 1 0) into 1 4.081 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 4.082 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 4.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.084 * [backup-simplify]: Simplify (- 0) into 0 4.084 * [backup-simplify]: Simplify (+ 0 0) into 0 4.086 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 4.086 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.088 * [backup-simplify]: Simplify (- 0) into 0 4.089 * [backup-simplify]: Simplify (+ 0 0) into 0 4.092 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 4.093 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) 4.095 * [backup-simplify]: Simplify (+ (* (/ 1/8 (sqrt -1)) (pow (/ 1 x) 3)) (+ (* (/ 1/2 (sqrt -1)) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (+ (* 1/2 (/ 1 (* x (sqrt -1)))) (+ (* 1/8 (/ 1 (* (pow x 3) (sqrt -1)))) (* x (sqrt -1)))) 4.096 * [backup-simplify]: Simplify (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1 (/ 1 (pow x 2)))) 4.096 * [approximate]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in (x) around 0 4.096 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 4.096 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 4.096 * [taylor]: Taking taylor expansion of 1 in x 4.096 * [backup-simplify]: Simplify 1 into 1 4.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.096 * [taylor]: Taking taylor expansion of x in x 4.096 * [backup-simplify]: Simplify 0 into 0 4.096 * [backup-simplify]: Simplify 1 into 1 4.096 * [backup-simplify]: Simplify (* 1 1) into 1 4.097 * [backup-simplify]: Simplify (/ 1 1) into 1 4.097 * [backup-simplify]: Simplify (- 1) into -1 4.097 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.098 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.099 * [backup-simplify]: Simplify (- 0) into 0 4.100 * [backup-simplify]: Simplify (+ 0 0) into 0 4.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.100 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 4.101 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 4.101 * [taylor]: Taking taylor expansion of 1 in x 4.101 * [backup-simplify]: Simplify 1 into 1 4.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.101 * [taylor]: Taking taylor expansion of x in x 4.101 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify 1 into 1 4.101 * [backup-simplify]: Simplify (* 1 1) into 1 4.101 * [backup-simplify]: Simplify (/ 1 1) into 1 4.102 * [backup-simplify]: Simplify (- 1) into -1 4.102 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.103 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.104 * [backup-simplify]: Simplify (- 0) into 0 4.105 * [backup-simplify]: Simplify (+ 0 0) into 0 4.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.106 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.106 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.108 * [backup-simplify]: Simplify (- 0) into 0 4.108 * [backup-simplify]: Simplify (+ 1 0) into 1 4.111 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 4.112 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 4.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.114 * [backup-simplify]: Simplify (- 0) into 0 4.114 * [backup-simplify]: Simplify (+ 0 0) into 0 4.116 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 4.116 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.118 * [backup-simplify]: Simplify (- 0) into 0 4.118 * [backup-simplify]: Simplify (+ 0 0) into 0 4.122 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 4.123 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) 4.126 * [backup-simplify]: Simplify (+ (* (/ 1/8 (sqrt -1)) (pow (/ 1 (- x)) 3)) (+ (* (/ 1/2 (sqrt -1)) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (+ (* 1/2 (/ 1 (* x (sqrt -1)))) (+ (* 1/8 (/ 1 (* (pow x 3) (sqrt -1)))) (* x (sqrt -1))))) 4.126 * * * [progress]: simplifying candidates 4.126 * * * * [progress]: [ 1 / 94 ] simplifiying candidate # 4.126 * * * * [progress]: [ 2 / 94 ] simplifiying candidate # 4.126 * * * * [progress]: [ 3 / 94 ] simplifiying candidate # 4.126 * * * * [progress]: [ 4 / 94 ] simplifiying candidate # 4.126 * * * * [progress]: [ 5 / 94 ] simplifiying candidate # 4.126 * * * * [progress]: [ 6 / 94 ] simplifiying candidate # 4.126 * * * * [progress]: [ 7 / 94 ] simplifiying candidate # 4.126 * * * * [progress]: [ 8 / 94 ] simplifiying candidate # 4.126 * * * * [progress]: [ 9 / 94 ] simplifiying candidate # 4.126 * * * * [progress]: [ 10 / 94 ] simplifiying candidate # 4.127 * * * * [progress]: [ 11 / 94 ] simplifiying candidate # 4.127 * * * * [progress]: [ 12 / 94 ] simplifiying candidate # 4.127 * * * * [progress]: [ 13 / 94 ] simplifiying candidate # 4.127 * * * * [progress]: [ 14 / 94 ] simplifiying candidate # 4.127 * * * * [progress]: [ 15 / 94 ] simplifiying candidate # 4.127 * * * * [progress]: [ 16 / 94 ] simplifiying candidate # 4.127 * * * * [progress]: [ 17 / 94 ] simplifiying candidate # 4.127 * * * * [progress]: [ 18 / 94 ] simplifiying candidate # 4.127 * * * * [progress]: [ 19 / 94 ] simplifiying candidate # 4.127 * * * * [progress]: [ 20 / 94 ] simplifiying candidate # 4.127 * * * * [progress]: [ 21 / 94 ] simplifiying candidate # 4.127 * * * * [progress]: [ 22 / 94 ] simplifiying candidate # 4.127 * * * * [progress]: [ 23 / 94 ] simplifiying candidate # 4.127 * * * * [progress]: [ 24 / 94 ] simplifiying candidate # 4.127 * * * * [progress]: [ 25 / 94 ] simplifiying candidate # 4.127 * * * * [progress]: [ 26 / 94 ] simplifiying candidate # 4.128 * * * * [progress]: [ 27 / 94 ] simplifiying candidate # 4.128 * * * * [progress]: [ 28 / 94 ] simplifiying candidate # 4.128 * * * * [progress]: [ 29 / 94 ] simplifiying candidate # 4.128 * * * * [progress]: [ 30 / 94 ] simplifiying candidate # 4.128 * * * * [progress]: [ 31 / 94 ] simplifiying candidate # 4.128 * * * * [progress]: [ 32 / 94 ] simplifiying candidate # 4.128 * * * * [progress]: [ 33 / 94 ] simplifiying candidate # 4.128 * * * * [progress]: [ 34 / 94 ] simplifiying candidate # 4.128 * * * * [progress]: [ 35 / 94 ] simplifiying candidate # 4.128 * * * * [progress]: [ 36 / 94 ] simplifiying candidate # 4.128 * * * * [progress]: [ 37 / 94 ] simplifiying candidate # 4.128 * * * * [progress]: [ 38 / 94 ] simplifiying candidate # 4.128 * * * * [progress]: [ 39 / 94 ] simplifiying candidate # 4.128 * * * * [progress]: [ 40 / 94 ] simplifiying candidate # 4.128 * * * * [progress]: [ 41 / 94 ] simplifiying candidate # 4.128 * * * * [progress]: [ 42 / 94 ] simplifiying candidate # 4.129 * * * * [progress]: [ 43 / 94 ] simplifiying candidate # 4.129 * * * * [progress]: [ 44 / 94 ] simplifiying candidate # 4.129 * * * * [progress]: [ 45 / 94 ] simplifiying candidate #real (real->posit16 (* (/ 1 x) (+ 1 (sqrt (- 1 (* x x)))))))))> 4.129 * * * * [progress]: [ 46 / 94 ] simplifiying candidate # 4.129 * * * * [progress]: [ 47 / 94 ] simplifiying candidate # 4.129 * * * * [progress]: [ 48 / 94 ] simplifiying candidate # 4.129 * * * * [progress]: [ 49 / 94 ] simplifiying candidate # 4.129 * * * * [progress]: [ 50 / 94 ] simplifiying candidate # 4.129 * * * * [progress]: [ 51 / 94 ] simplifiying candidate # 4.129 * * * * [progress]: [ 52 / 94 ] simplifiying candidate # 4.129 * * * * [progress]: [ 53 / 94 ] simplifiying candidate # 4.129 * * * * [progress]: [ 54 / 94 ] simplifiying candidate # 4.129 * * * * [progress]: [ 55 / 94 ] simplifiying candidate # 4.129 * * * * [progress]: [ 56 / 94 ] simplifiying candidate # 4.129 * * * * [progress]: [ 57 / 94 ] simplifiying candidate # 4.129 * * * * [progress]: [ 58 / 94 ] simplifiying candidate # 4.129 * * * * [progress]: [ 59 / 94 ] simplifiying candidate # 4.130 * * * * [progress]: [ 60 / 94 ] simplifiying candidate # 4.130 * * * * [progress]: [ 61 / 94 ] simplifiying candidate # 4.130 * * * * [progress]: [ 62 / 94 ] simplifiying candidate # 4.130 * * * * [progress]: [ 63 / 94 ] simplifiying candidate # 4.130 * * * * [progress]: [ 64 / 94 ] simplifiying candidate #real (real->posit16 (+ 1 (sqrt (- 1 (* x x)))))))))> 4.130 * * * * [progress]: [ 65 / 94 ] simplifiying candidate # 4.130 * * * * [progress]: [ 66 / 94 ] simplifiying candidate # 4.130 * * * * [progress]: [ 67 / 94 ] simplifiying candidate # 4.130 * * * * [progress]: [ 68 / 94 ] simplifiying candidate # 4.130 * * * * [progress]: [ 69 / 94 ] simplifiying candidate # 4.130 * * * * [progress]: [ 70 / 94 ] simplifiying candidate # 4.130 * * * * [progress]: [ 71 / 94 ] simplifiying candidate # 4.130 * * * * [progress]: [ 72 / 94 ] simplifiying candidate # 4.130 * * * * [progress]: [ 73 / 94 ] simplifiying candidate # 4.130 * * * * [progress]: [ 74 / 94 ] simplifiying candidate # 4.130 * * * * [progress]: [ 75 / 94 ] simplifiying candidate # 4.130 * * * * [progress]: [ 76 / 94 ] simplifiying candidate # 4.130 * * * * [progress]: [ 77 / 94 ] simplifiying candidate # 4.131 * * * * [progress]: [ 78 / 94 ] simplifiying candidate # 4.131 * * * * [progress]: [ 79 / 94 ] simplifiying candidate # 4.131 * * * * [progress]: [ 80 / 94 ] simplifiying candidate # 4.131 * * * * [progress]: [ 81 / 94 ] simplifiying candidate # 4.131 * * * * [progress]: [ 82 / 94 ] simplifiying candidate # 4.131 * * * * [progress]: [ 83 / 94 ] simplifiying candidate # 4.131 * * * * [progress]: [ 84 / 94 ] simplifiying candidate # 4.131 * * * * [progress]: [ 85 / 94 ] simplifiying candidate #real (real->posit16 (sqrt (- 1 (* x x)))))))))> 4.131 * * * * [progress]: [ 86 / 94 ] simplifiying candidate # 4.131 * * * * [progress]: [ 87 / 94 ] simplifiying candidate # 4.131 * * * * [progress]: [ 88 / 94 ] simplifiying candidate # 4.131 * * * * [progress]: [ 89 / 94 ] simplifiying candidate # 4.131 * * * * [progress]: [ 90 / 94 ] simplifiying candidate # 4.131 * * * * [progress]: [ 91 / 94 ] simplifiying candidate # 4.131 * * * * [progress]: [ 92 / 94 ] simplifiying candidate # 4.131 * * * * [progress]: [ 93 / 94 ] simplifiying candidate # 4.131 * * * * [progress]: [ 94 / 94 ] simplifiying candidate # 4.133 * [simplify]: Simplifying: (expm1 (* (/ 1 x) (+ 1 (sqrt (- 1 (* x x)))))) (log1p (* (/ 1 x) (+ 1 (sqrt (- 1 (* x x)))))) (* (/ 1 x) (+ 1 (sqrt (- 1 (* x x))))) (+ (- (log x)) (log (+ 1 (sqrt (- 1 (* x x)))))) (+ (- 0 (log x)) (log (+ 1 (sqrt (- 1 (* x x)))))) (+ (- (log 1) (log x)) (log (+ 1 (sqrt (- 1 (* x x)))))) (+ (log (/ 1 x)) (log (+ 1 (sqrt (- 1 (* x x)))))) (log (* (/ 1 x) (+ 1 (sqrt (- 1 (* x x)))))) (exp (* (/ 1 x) (+ 1 (sqrt (- 1 (* x x)))))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (+ 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (+ 1 (sqrt (- 1 (* x x)))))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (+ 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (+ 1 (sqrt (- 1 (* x x)))))) (* (cbrt (* (/ 1 x) (+ 1 (sqrt (- 1 (* x x)))))) (cbrt (* (/ 1 x) (+ 1 (sqrt (- 1 (* x x))))))) (cbrt (* (/ 1 x) (+ 1 (sqrt (- 1 (* x x)))))) (* (* (* (/ 1 x) (+ 1 (sqrt (- 1 (* x x))))) (* (/ 1 x) (+ 1 (sqrt (- 1 (* x x)))))) (* (/ 1 x) (+ 1 (sqrt (- 1 (* x x)))))) (sqrt (* (/ 1 x) (+ 1 (sqrt (- 1 (* x x)))))) (sqrt (* (/ 1 x) (+ 1 (sqrt (- 1 (* x x)))))) (* 1 (+ (pow 1 3) (pow (sqrt (- 1 (* x x))) 3))) (* x (+ (* 1 1) (- (* (sqrt (- 1 (* x x))) (sqrt (- 1 (* x x)))) (* 1 (sqrt (- 1 (* x x))))))) (* 1 (- (* 1 1) (* (sqrt (- 1 (* x x))) (sqrt (- 1 (* x x)))))) (* x (- 1 (sqrt (- 1 (* x x))))) (* (sqrt (/ 1 x)) (sqrt (+ 1 (sqrt (- 1 (* x x)))))) (* (sqrt (/ 1 x)) (sqrt (+ 1 (sqrt (- 1 (* x x)))))) (* (/ (sqrt 1) (sqrt x)) (sqrt (+ 1 (sqrt (- 1 (* x x)))))) (* (/ (sqrt 1) (sqrt x)) (sqrt (+ 1 (sqrt (- 1 (* x x)))))) (* (/ 1 (sqrt x)) (sqrt (+ 1 (sqrt (- 1 (* x x)))))) (* (/ 1 (sqrt x)) (sqrt (+ 1 (sqrt (- 1 (* x x)))))) (* (/ 1 x) 1) (* (/ 1 x) (sqrt (- 1 (* x x)))) (* 1 (/ 1 x)) (* (sqrt (- 1 (* x x))) (/ 1 x)) (* (/ 1 x) (* (cbrt (+ 1 (sqrt (- 1 (* x x))))) (cbrt (+ 1 (sqrt (- 1 (* x x))))))) (* (/ 1 x) (sqrt (+ 1 (sqrt (- 1 (* x x)))))) (* (/ 1 x) 1) (* (/ 1 x) (sqrt 1)) (* (/ 1 x) 1) (* (cbrt (/ 1 x)) (+ 1 (sqrt (- 1 (* x x))))) (* (sqrt (/ 1 x)) (+ 1 (sqrt (- 1 (* x x))))) (* (/ (cbrt 1) (cbrt x)) (+ 1 (sqrt (- 1 (* x x))))) (* (/ (cbrt 1) (sqrt x)) (+ 1 (sqrt (- 1 (* x x))))) (* (/ (cbrt 1) x) (+ 1 (sqrt (- 1 (* x x))))) (* (/ (sqrt 1) (cbrt x)) (+ 1 (sqrt (- 1 (* x x))))) (* (/ (sqrt 1) (sqrt x)) (+ 1 (sqrt (- 1 (* x x))))) (* (/ (sqrt 1) x) (+ 1 (sqrt (- 1 (* x x))))) (* (/ 1 (cbrt x)) (+ 1 (sqrt (- 1 (* x x))))) (* (/ 1 (sqrt x)) (+ 1 (sqrt (- 1 (* x x))))) (* (/ 1 x) (+ 1 (sqrt (- 1 (* x x))))) (* (/ 1 x) (+ 1 (sqrt (- 1 (* x x))))) (* (/ 1 x) (+ 1 (sqrt (- 1 (* x x))))) (* (/ 1 x) (+ (pow 1 3) (pow (sqrt (- 1 (* x x))) 3))) (* (/ 1 x) (- (* 1 1) (* (sqrt (- 1 (* x x))) (sqrt (- 1 (* x x)))))) (* 1 (+ 1 (sqrt (- 1 (* x x))))) (real->posit16 (* (/ 1 x) (+ 1 (sqrt (- 1 (* x x)))))) (expm1 (+ 1 (sqrt (- 1 (* x x))))) (log1p (+ 1 (sqrt (- 1 (* x x))))) (* (exp 1) (exp (sqrt (- 1 (* x x))))) (log (+ 1 (sqrt (- 1 (* x x))))) (exp (+ 1 (sqrt (- 1 (* x x))))) (* (cbrt (+ 1 (sqrt (- 1 (* x x))))) (cbrt (+ 1 (sqrt (- 1 (* x x)))))) (cbrt (+ 1 (sqrt (- 1 (* x x))))) (* (* (+ 1 (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x))))) (+ 1 (sqrt (- 1 (* x x))))) (sqrt (+ 1 (sqrt (- 1 (* x x))))) (sqrt (+ 1 (sqrt (- 1 (* x x))))) (+ (pow 1 3) (pow (sqrt (- 1 (* x x))) 3)) (+ (* 1 1) (- (* (sqrt (- 1 (* x x))) (sqrt (- 1 (* x x)))) (* 1 (sqrt (- 1 (* x x)))))) (- (* 1 1) (* (sqrt (- 1 (* x x))) (sqrt (- 1 (* x x))))) (- 1 (sqrt (- 1 (* x x)))) (+ (sqrt 1) (sqrt (- 1 (* x x)))) (+ 1 (sqrt (- 1 (* x x)))) (real->posit16 (+ 1 (sqrt (- 1 (* x x))))) (expm1 (sqrt (- 1 (* x x)))) (log1p (sqrt (- 1 (* x x)))) (log (sqrt (- 1 (* x x)))) (exp (sqrt (- 1 (* x x)))) (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) (cbrt (sqrt (- 1 (* x x)))) (* (* (sqrt (- 1 (* x x))) (sqrt (- 1 (* x x)))) (sqrt (- 1 (* x x)))) (sqrt (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) (sqrt (cbrt (- 1 (* x x)))) (sqrt (sqrt (- 1 (* x x)))) (sqrt (sqrt (- 1 (* x x)))) (sqrt 1) (sqrt (- 1 (* x x))) (sqrt (+ (sqrt 1) x)) (sqrt (- (sqrt 1) x)) (sqrt (+ 1 x)) (sqrt (- 1 x)) (sqrt (- (pow 1 3) (pow (* x x) 3))) (sqrt (+ (* 1 1) (+ (* (* x x) (* x x)) (* 1 (* x x))))) (sqrt (- (* 1 1) (* (* x x) (* x x)))) (sqrt (+ 1 (* x x))) (/ 1 2) (sqrt (sqrt (- 1 (* x x)))) (sqrt (sqrt (- 1 (* x x)))) (real->posit16 (sqrt (- 1 (* x x)))) (- (* 2 (/ 1 x)) (+ (* 1/2 x) (* 1/8 (pow x 3)))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (/ 1 x))) (- (/ 1 x) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) (- 2 (+ (* 1/2 (pow x 2)) (* 1/8 (pow x 4)))) (+ (* x (sqrt -1)) (+ (* 1/2 (/ 1 (* x (sqrt -1)))) 1)) (- 1 (+ (* x (sqrt -1)) (* 1/2 (/ 1 (* x (sqrt -1)))))) (- 1 (+ (* 1/2 (pow x 2)) (* 1/8 (pow x 4)))) (+ (* 1/2 (/ 1 (* x (sqrt -1)))) (+ (* 1/8 (/ 1 (* (pow x 3) (sqrt -1)))) (* x (sqrt -1)))) (- (+ (* 1/2 (/ 1 (* x (sqrt -1)))) (+ (* 1/8 (/ 1 (* (pow x 3) (sqrt -1)))) (* x (sqrt -1))))) 4.135 * * [simplify]: iteration 0: 174 enodes 4.238 * * [simplify]: iteration 1: 537 enodes 4.624 * * [simplify]: iteration 2: 1404 enodes 6.230 * * [simplify]: iteration 3: 3894 enodes 6.978 * * [simplify]: iteration complete: 5000 enodes 6.979 * * [simplify]: Extracting #0: cost 67 inf + 0 6.981 * * [simplify]: Extracting #1: cost 430 inf + 2 6.985 * * [simplify]: Extracting #2: cost 644 inf + 5320 7.001 * * [simplify]: Extracting #3: cost 330 inf + 58580 7.069 * * [simplify]: Extracting #4: cost 78 inf + 124918 7.178 * * [simplify]: Extracting #5: cost 2 inf + 151877 7.257 * * [simplify]: Extracting #6: cost 0 inf + 152600 7.347 * [simplify]: Simplified to: (expm1 (/ (+ (sqrt (- 1 (* x x))) 1) x)) (log1p (/ (+ (sqrt (- 1 (* x x))) 1) x)) (/ (+ (sqrt (- 1 (* x x))) 1) x) (log (/ (+ (sqrt (- 1 (* x x))) 1) x)) (log (/ (+ (sqrt (- 1 (* x x))) 1) x)) (log (/ (+ (sqrt (- 1 (* x x))) 1) x)) (log (/ (+ (sqrt (- 1 (* x x))) 1) x)) (log (/ (+ (sqrt (- 1 (* x x))) 1) x)) (exp (/ (+ (sqrt (- 1 (* x x))) 1) x)) (* (+ (sqrt (- 1 (* x x))) 1) (/ (* (+ (sqrt (- 1 (* x x))) 1) (+ (sqrt (- 1 (* x x))) 1)) (* x (* x x)))) (* (* (/ (+ (sqrt (- 1 (* x x))) 1) x) (/ (+ (sqrt (- 1 (* x x))) 1) x)) (/ (+ (sqrt (- 1 (* x x))) 1) x)) (* (cbrt (/ (+ (sqrt (- 1 (* x x))) 1) x)) (cbrt (/ (+ (sqrt (- 1 (* x x))) 1) x))) (cbrt (/ (+ (sqrt (- 1 (* x x))) 1) x)) (* (* (/ (+ (sqrt (- 1 (* x x))) 1) x) (/ (+ (sqrt (- 1 (* x x))) 1) x)) (/ (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (/ (+ (sqrt (- 1 (* x x))) 1) x)) (sqrt (/ (+ (sqrt (- 1 (* x x))) 1) x)) (fma (- 1 (* x x)) (sqrt (- 1 (* x x))) 1) (fma (- (- 1 (* x x)) (sqrt (- 1 (* x x)))) x x) (- 1 (- 1 (* x x))) (* x (- 1 (sqrt (- 1 (* x x))))) (* (sqrt (+ (sqrt (- 1 (* x x))) 1)) (sqrt (/ 1 x))) (* (sqrt (+ (sqrt (- 1 (* x x))) 1)) (sqrt (/ 1 x))) (/ (sqrt (+ (sqrt (- 1 (* x x))) 1)) (sqrt x)) (/ (sqrt (+ (sqrt (- 1 (* x x))) 1)) (sqrt x)) (/ (sqrt (+ (sqrt (- 1 (* x x))) 1)) (sqrt x)) (/ (sqrt (+ (sqrt (- 1 (* x x))) 1)) (sqrt x)) (/ 1 x) (/ (sqrt (- 1 (* x x))) x) (/ 1 x) (/ (sqrt (- 1 (* x x))) x) (/ (* (cbrt (+ (sqrt (- 1 (* x x))) 1)) (cbrt (+ (sqrt (- 1 (* x x))) 1))) x) (/ (sqrt (+ (sqrt (- 1 (* x x))) 1)) x) (/ 1 x) (/ 1 x) (/ 1 x) (fma (cbrt (/ 1 x)) (sqrt (- 1 (* x x))) (cbrt (/ 1 x))) (fma (sqrt (- 1 (* x x))) (sqrt (/ 1 x)) (sqrt (/ 1 x))) (/ (+ (sqrt (- 1 (* x x))) 1) (cbrt x)) (/ (+ (sqrt (- 1 (* x x))) 1) (sqrt x)) (/ (+ (sqrt (- 1 (* x x))) 1) x) (/ (+ (sqrt (- 1 (* x x))) 1) (cbrt x)) (/ (+ (sqrt (- 1 (* x x))) 1) (sqrt x)) (/ (+ (sqrt (- 1 (* x x))) 1) x) (/ (+ (sqrt (- 1 (* x x))) 1) (cbrt x)) (/ (+ (sqrt (- 1 (* x x))) 1) (sqrt x)) (/ (+ (sqrt (- 1 (* x x))) 1) x) (/ (+ (sqrt (- 1 (* x x))) 1) x) (/ (+ (sqrt (- 1 (* x x))) 1) x) (/ (fma (- 1 (* x x)) (sqrt (- 1 (* x x))) 1) x) (/ (- 1 (- 1 (* x x))) x) (+ (sqrt (- 1 (* x x))) 1) (real->posit16 (/ (+ (sqrt (- 1 (* x x))) 1) x)) (expm1 (+ (sqrt (- 1 (* x x))) 1)) (log1p (+ (sqrt (- 1 (* x x))) 1)) (exp (+ (sqrt (- 1 (* x x))) 1)) (log1p (sqrt (- 1 (* x x)))) (exp (+ (sqrt (- 1 (* x x))) 1)) (* (cbrt (+ (sqrt (- 1 (* x x))) 1)) (cbrt (+ (sqrt (- 1 (* x x))) 1))) (cbrt (+ (sqrt (- 1 (* x x))) 1)) (* (+ (sqrt (- 1 (* x x))) 1) (* (+ (sqrt (- 1 (* x x))) 1) (+ (sqrt (- 1 (* x x))) 1))) (sqrt (+ (sqrt (- 1 (* x x))) 1)) (sqrt (+ (sqrt (- 1 (* x x))) 1)) (fma (- 1 (* x x)) (sqrt (- 1 (* x x))) 1) (+ 1 (- (- 1 (* x x)) (sqrt (- 1 (* x x))))) (- 1 (- 1 (* x x))) (- 1 (sqrt (- 1 (* x x)))) (+ (sqrt (- 1 (* x x))) 1) (+ (sqrt (- 1 (* x x))) 1) (real->posit16 (+ (sqrt (- 1 (* x x))) 1)) (expm1 (sqrt (- 1 (* x x)))) (log1p (sqrt (- 1 (* x x)))) (log (sqrt (- 1 (* x x)))) (exp (sqrt (- 1 (* x x)))) (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) (cbrt (sqrt (- 1 (* x x)))) (* (sqrt (- 1 (* x x))) (- 1 (* x x))) (fabs (cbrt (- 1 (* x x)))) (sqrt (cbrt (- 1 (* x x)))) (sqrt (sqrt (- 1 (* x x)))) (sqrt (sqrt (- 1 (* x x)))) 1 (sqrt (- 1 (* x x))) (sqrt (+ x 1)) (sqrt (- 1 x)) (sqrt (+ x 1)) (sqrt (- 1 x)) (sqrt (- 1 (* (* x x) (* (* x x) (* x x))))) (sqrt (+ 1 (fma (* x x) (* x x) (* x x)))) (sqrt (- 1 (* (* x x) (* x x)))) (hypot x 1) 1/2 (sqrt (sqrt (- 1 (* x x)))) (sqrt (sqrt (- 1 (* x x)))) (real->posit16 (sqrt (- 1 (* x x)))) (fma -1/2 x (fma (* x (* x x)) -1/8 (/ 2 x))) (+ (sqrt -1) (fma (/ 1/2 (* (sqrt -1) x)) (/ 1 x) (/ 1 x))) (- (- (/ 1 x) (sqrt -1)) (/ (/ 1/2 (* x x)) (sqrt -1))) (- 2 (* (* x x) (fma (* x x) 1/8 1/2))) (fma (sqrt -1) x (+ (/ (/ 1/2 x) (sqrt -1)) 1)) (+ (- 1 (* x (sqrt -1))) (/ -1/2 (* x (sqrt -1)))) (- 1 (* (* x x) (fma (* x x) 1/8 1/2))) (+ (/ (/ 1/2 x) (sqrt -1)) (fma x (sqrt -1) (/ (/ 1/8 (* x (* x x))) (sqrt -1)))) (+ (/ -1/2 (* x (sqrt -1))) (- (/ -1/8 (* x (* x (* (sqrt -1) x)))) (* x (sqrt -1)))) 7.354 * * * [progress]: adding candidates to table 7.799 * [progress]: [Phase 3 of 3] Extracting. 7.802 * [simplify]: Simplifying: (log (* (/ 1 x) (+ 1 (sqrt (- 1 (* x x)))))) 7.802 * * [simplify]: iteration 0: 9 enodes 7.802 * * [simplify]: iteration 1: 13 enodes 7.802 * * [simplify]: iteration complete: 13 enodes 7.802 * * [simplify]: Extracting #0: cost 1 inf + 0 7.802 * * [simplify]: Extracting #1: cost 2 inf + 0 7.803 * * [simplify]: Extracting #2: cost 4 inf + 0 7.803 * * [simplify]: Extracting #3: cost 7 inf + 0 7.803 * * [simplify]: Extracting #4: cost 6 inf + 2 7.803 * * [simplify]: Extracting #5: cost 6 inf + 44 7.803 * * [simplify]: Extracting #6: cost 0 inf + 1005 7.803 * [simplify]: Simplified to: (log (* (+ (sqrt (- 1 (* x x))) 1) (/ 1 x))) 11.679 * [regime-testing]: Baseline error score: 0.05070296357505211 11.682 * [regime-testing]: Oracle error score: 0.05070296357505211 11.682 * [regime-testing]: End program error score: 0.05070296357505211