44.727 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.086 * * * [progress]: [2/2] Setting up program. 0.089 * [progress]: [Phase 2 of 3] Improving. 0.089 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.089 * [simplify]: Simplifying: (log (+ x (sqrt (- (* x x) 1)))) 0.089 * * [simplify]: iteration 0: 7 enodes 0.091 * * [simplify]: iteration 1: 16 enodes 0.093 * * [simplify]: iteration 2: 19 enodes 0.096 * * [simplify]: iteration 3: 35 enodes 0.104 * * [simplify]: iteration 4: 60 enodes 0.118 * * [simplify]: iteration 5: 156 enodes 0.186 * * [simplify]: iteration 6: 472 enodes 0.640 * * [simplify]: iteration 7: 1825 enodes 3.018 * * [simplify]: iteration complete: 5000 enodes 3.018 * * [simplify]: Extracting #0: cost 1 inf + 0 3.018 * * [simplify]: Extracting #1: cost 2 inf + 0 3.018 * * [simplify]: Extracting #2: cost 4 inf + 0 3.018 * * [simplify]: Extracting #3: cost 4 inf + 1 3.019 * * [simplify]: Extracting #4: cost 443 inf + 1 3.023 * * [simplify]: Extracting #5: cost 1152 inf + 9660 3.041 * * [simplify]: Extracting #6: cost 293 inf + 87865 3.095 * * [simplify]: Extracting #7: cost 1 inf + 117452 3.138 * * [simplify]: Extracting #8: cost 0 inf + 117614 3.167 * [simplify]: Simplified to: (log (+ x (sqrt (- (* x x) 1)))) 3.167 * * [progress]: iteration 1 / 4 3.167 * * * [progress]: picking best candidate 3.170 * * * * [pick]: Picked # 3.170 * * * [progress]: localizing error 3.193 * * * [progress]: generating rewritten candidates 3.193 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 3.214 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.242 * * * [progress]: generating series expansions 3.242 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 3.242 * [backup-simplify]: Simplify (sqrt (- (* x x) 1)) into (sqrt (- (pow x 2) 1)) 3.242 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in (x) around 0 3.242 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in x 3.242 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 3.242 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.242 * [taylor]: Taking taylor expansion of x in x 3.242 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify 1 into 1 3.242 * [taylor]: Taking taylor expansion of 1 in x 3.242 * [backup-simplify]: Simplify 1 into 1 3.243 * [backup-simplify]: Simplify (- 1) into -1 3.243 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.243 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.243 * [backup-simplify]: Simplify (- 0) into 0 3.244 * [backup-simplify]: Simplify (+ 0 0) into 0 3.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.244 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in x 3.244 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 3.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.244 * [taylor]: Taking taylor expansion of x in x 3.244 * [backup-simplify]: Simplify 0 into 0 3.244 * [backup-simplify]: Simplify 1 into 1 3.244 * [taylor]: Taking taylor expansion of 1 in x 3.244 * [backup-simplify]: Simplify 1 into 1 3.244 * [backup-simplify]: Simplify (- 1) into -1 3.245 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.245 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.245 * [backup-simplify]: Simplify (- 0) into 0 3.245 * [backup-simplify]: Simplify (+ 0 0) into 0 3.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.246 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.246 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify (* 1 1) into 1 3.247 * [backup-simplify]: Simplify (- 0) into 0 3.247 * [backup-simplify]: Simplify (+ 1 0) into 1 3.248 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 3.249 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 3.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.250 * [backup-simplify]: Simplify (- 0) into 0 3.250 * [backup-simplify]: Simplify (+ 0 0) into 0 3.251 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 3.251 * [backup-simplify]: Simplify 0 into 0 3.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.252 * [backup-simplify]: Simplify (- 0) into 0 3.252 * [backup-simplify]: Simplify (+ 0 0) into 0 3.254 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 3.255 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) 3.256 * [backup-simplify]: Simplify (+ (* (/ 1/8 (sqrt -1)) (pow x 4)) (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (sqrt -1))) into (+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 3.256 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) into (sqrt (- (/ 1 (pow x 2)) 1)) 3.256 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in (x) around 0 3.256 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 3.256 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 3.256 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.256 * [taylor]: Taking taylor expansion of x in x 3.256 * [backup-simplify]: Simplify 0 into 0 3.256 * [backup-simplify]: Simplify 1 into 1 3.257 * [backup-simplify]: Simplify (* 1 1) into 1 3.257 * [backup-simplify]: Simplify (/ 1 1) into 1 3.257 * [taylor]: Taking taylor expansion of 1 in x 3.257 * [backup-simplify]: Simplify 1 into 1 3.257 * [backup-simplify]: Simplify (+ 1 0) into 1 3.257 * [backup-simplify]: Simplify (sqrt 1) into 1 3.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.258 * [backup-simplify]: Simplify (+ 0 0) into 0 3.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.259 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 3.259 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 3.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.259 * [taylor]: Taking taylor expansion of x in x 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify 1 into 1 3.259 * [backup-simplify]: Simplify (* 1 1) into 1 3.259 * [backup-simplify]: Simplify (/ 1 1) into 1 3.260 * [taylor]: Taking taylor expansion of 1 in x 3.260 * [backup-simplify]: Simplify 1 into 1 3.260 * [backup-simplify]: Simplify (+ 1 0) into 1 3.260 * [backup-simplify]: Simplify (sqrt 1) into 1 3.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.261 * [backup-simplify]: Simplify (+ 0 0) into 0 3.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.262 * [backup-simplify]: Simplify 1 into 1 3.262 * [backup-simplify]: Simplify 0 into 0 3.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.263 * [backup-simplify]: Simplify (- 1) into -1 3.263 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.264 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 3.264 * [backup-simplify]: Simplify -1/2 into -1/2 3.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.265 * [backup-simplify]: Simplify (- 0) into 0 3.266 * [backup-simplify]: Simplify (+ 0 0) into 0 3.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 3.266 * [backup-simplify]: Simplify 0 into 0 3.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.268 * [backup-simplify]: Simplify (- 0) into 0 3.268 * [backup-simplify]: Simplify (+ 0 0) into 0 3.269 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.269 * [backup-simplify]: Simplify -1/8 into -1/8 3.269 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 3.270 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) into (sqrt (- (/ 1 (pow x 2)) 1)) 3.270 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in (x) around 0 3.270 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 3.270 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 3.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.270 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.270 * [taylor]: Taking taylor expansion of x in x 3.270 * [backup-simplify]: Simplify 0 into 0 3.270 * [backup-simplify]: Simplify 1 into 1 3.270 * [backup-simplify]: Simplify (* 1 1) into 1 3.270 * [backup-simplify]: Simplify (/ 1 1) into 1 3.270 * [taylor]: Taking taylor expansion of 1 in x 3.270 * [backup-simplify]: Simplify 1 into 1 3.271 * [backup-simplify]: Simplify (+ 1 0) into 1 3.271 * [backup-simplify]: Simplify (sqrt 1) into 1 3.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.272 * [backup-simplify]: Simplify (+ 0 0) into 0 3.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.273 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 3.273 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 3.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.273 * [taylor]: Taking taylor expansion of x in x 3.273 * [backup-simplify]: Simplify 0 into 0 3.273 * [backup-simplify]: Simplify 1 into 1 3.273 * [backup-simplify]: Simplify (* 1 1) into 1 3.274 * [backup-simplify]: Simplify (/ 1 1) into 1 3.274 * [taylor]: Taking taylor expansion of 1 in x 3.274 * [backup-simplify]: Simplify 1 into 1 3.274 * [backup-simplify]: Simplify (+ 1 0) into 1 3.274 * [backup-simplify]: Simplify (sqrt 1) into 1 3.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.275 * [backup-simplify]: Simplify (+ 0 0) into 0 3.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.276 * [backup-simplify]: Simplify 1 into 1 3.276 * [backup-simplify]: Simplify 0 into 0 3.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.277 * [backup-simplify]: Simplify (- 1) into -1 3.278 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.278 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 3.278 * [backup-simplify]: Simplify -1/2 into -1/2 3.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.280 * [backup-simplify]: Simplify (- 0) into 0 3.280 * [backup-simplify]: Simplify (+ 0 0) into 0 3.281 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 3.281 * [backup-simplify]: Simplify 0 into 0 3.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.282 * [backup-simplify]: Simplify (- 0) into 0 3.283 * [backup-simplify]: Simplify (+ 0 0) into 0 3.284 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.284 * [backup-simplify]: Simplify -1/8 into -1/8 3.284 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) 3.284 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.285 * [backup-simplify]: Simplify (+ x (sqrt (- (* x x) 1))) into (+ x (sqrt (- (pow x 2) 1))) 3.285 * [approximate]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1))) in (x) around 0 3.285 * [taylor]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1))) in x 3.285 * [taylor]: Taking taylor expansion of x in x 3.285 * [backup-simplify]: Simplify 0 into 0 3.285 * [backup-simplify]: Simplify 1 into 1 3.285 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in x 3.285 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 3.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.285 * [taylor]: Taking taylor expansion of x in x 3.285 * [backup-simplify]: Simplify 0 into 0 3.285 * [backup-simplify]: Simplify 1 into 1 3.285 * [taylor]: Taking taylor expansion of 1 in x 3.285 * [backup-simplify]: Simplify 1 into 1 3.285 * [backup-simplify]: Simplify (- 1) into -1 3.286 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.286 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.287 * [backup-simplify]: Simplify (- 0) into 0 3.287 * [backup-simplify]: Simplify (+ 0 0) into 0 3.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.288 * [taylor]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1))) in x 3.288 * [taylor]: Taking taylor expansion of x in x 3.288 * [backup-simplify]: Simplify 0 into 0 3.288 * [backup-simplify]: Simplify 1 into 1 3.288 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in x 3.288 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 3.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.288 * [taylor]: Taking taylor expansion of x in x 3.288 * [backup-simplify]: Simplify 0 into 0 3.288 * [backup-simplify]: Simplify 1 into 1 3.288 * [taylor]: Taking taylor expansion of 1 in x 3.288 * [backup-simplify]: Simplify 1 into 1 3.288 * [backup-simplify]: Simplify (- 1) into -1 3.289 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.289 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.289 * [backup-simplify]: Simplify (- 0) into 0 3.290 * [backup-simplify]: Simplify (+ 0 0) into 0 3.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.291 * [backup-simplify]: Simplify (+ 0 (sqrt -1)) into (sqrt -1) 3.291 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.292 * [backup-simplify]: Simplify (+ 1 0) into 1 3.292 * [backup-simplify]: Simplify 1 into 1 3.292 * [backup-simplify]: Simplify (* 1 1) into 1 3.292 * [backup-simplify]: Simplify (- 0) into 0 3.293 * [backup-simplify]: Simplify (+ 1 0) into 1 3.294 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 3.295 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt -1))) into (* 1/2 (/ 1 (sqrt -1))) 3.296 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) 3.297 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (+ (* 1 x) (sqrt -1))) into (+ x (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 3.297 * [backup-simplify]: Simplify (+ (/ 1 x) (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) into (+ (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) 3.297 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in (x) around 0 3.297 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in x 3.297 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 3.297 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 3.297 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.297 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.297 * [taylor]: Taking taylor expansion of x in x 3.297 * [backup-simplify]: Simplify 0 into 0 3.297 * [backup-simplify]: Simplify 1 into 1 3.298 * [backup-simplify]: Simplify (* 1 1) into 1 3.298 * [backup-simplify]: Simplify (/ 1 1) into 1 3.298 * [taylor]: Taking taylor expansion of 1 in x 3.298 * [backup-simplify]: Simplify 1 into 1 3.298 * [backup-simplify]: Simplify (+ 1 0) into 1 3.298 * [backup-simplify]: Simplify (sqrt 1) into 1 3.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.299 * [backup-simplify]: Simplify (+ 0 0) into 0 3.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.300 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.300 * [taylor]: Taking taylor expansion of x in x 3.300 * [backup-simplify]: Simplify 0 into 0 3.300 * [backup-simplify]: Simplify 1 into 1 3.300 * [backup-simplify]: Simplify (/ 1 1) into 1 3.300 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in x 3.300 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 3.300 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 3.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.300 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.300 * [taylor]: Taking taylor expansion of x in x 3.300 * [backup-simplify]: Simplify 0 into 0 3.300 * [backup-simplify]: Simplify 1 into 1 3.300 * [backup-simplify]: Simplify (* 1 1) into 1 3.301 * [backup-simplify]: Simplify (/ 1 1) into 1 3.301 * [taylor]: Taking taylor expansion of 1 in x 3.301 * [backup-simplify]: Simplify 1 into 1 3.301 * [backup-simplify]: Simplify (+ 1 0) into 1 3.301 * [backup-simplify]: Simplify (sqrt 1) into 1 3.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.302 * [backup-simplify]: Simplify (+ 0 0) into 0 3.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.303 * [taylor]: Taking taylor expansion of x in x 3.303 * [backup-simplify]: Simplify 0 into 0 3.303 * [backup-simplify]: Simplify 1 into 1 3.303 * [backup-simplify]: Simplify (/ 1 1) into 1 3.303 * [backup-simplify]: Simplify (+ 1 1) into 2 3.303 * [backup-simplify]: Simplify 2 into 2 3.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.304 * [backup-simplify]: Simplify (+ 0 0) into 0 3.304 * [backup-simplify]: Simplify 0 into 0 3.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.305 * [backup-simplify]: Simplify (- 1) into -1 3.306 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.306 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 3.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.307 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.307 * [backup-simplify]: Simplify -1/2 into -1/2 3.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.308 * [backup-simplify]: Simplify (- 0) into 0 3.309 * [backup-simplify]: Simplify (+ 0 0) into 0 3.309 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 3.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.310 * [backup-simplify]: Simplify (+ 0 0) into 0 3.310 * [backup-simplify]: Simplify 0 into 0 3.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.312 * [backup-simplify]: Simplify (- 0) into 0 3.312 * [backup-simplify]: Simplify (+ 0 0) into 0 3.313 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.313 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 3.313 * [backup-simplify]: Simplify -1/8 into -1/8 3.314 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 2 (/ 1 (/ 1 x))))) into (- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 3.314 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) into (- (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) 3.314 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in (x) around 0 3.314 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in x 3.314 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 3.314 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 3.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.314 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.314 * [taylor]: Taking taylor expansion of x in x 3.314 * [backup-simplify]: Simplify 0 into 0 3.314 * [backup-simplify]: Simplify 1 into 1 3.314 * [backup-simplify]: Simplify (* 1 1) into 1 3.314 * [backup-simplify]: Simplify (/ 1 1) into 1 3.315 * [taylor]: Taking taylor expansion of 1 in x 3.315 * [backup-simplify]: Simplify 1 into 1 3.315 * [backup-simplify]: Simplify (+ 1 0) into 1 3.315 * [backup-simplify]: Simplify (sqrt 1) into 1 3.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.316 * [backup-simplify]: Simplify (+ 0 0) into 0 3.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.317 * [taylor]: Taking taylor expansion of x in x 3.317 * [backup-simplify]: Simplify 0 into 0 3.317 * [backup-simplify]: Simplify 1 into 1 3.317 * [backup-simplify]: Simplify (/ 1 1) into 1 3.317 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in x 3.317 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 3.317 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 3.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.317 * [taylor]: Taking taylor expansion of x in x 3.317 * [backup-simplify]: Simplify 0 into 0 3.317 * [backup-simplify]: Simplify 1 into 1 3.317 * [backup-simplify]: Simplify (* 1 1) into 1 3.317 * [backup-simplify]: Simplify (/ 1 1) into 1 3.317 * [taylor]: Taking taylor expansion of 1 in x 3.317 * [backup-simplify]: Simplify 1 into 1 3.318 * [backup-simplify]: Simplify (+ 1 0) into 1 3.318 * [backup-simplify]: Simplify (sqrt 1) into 1 3.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.319 * [backup-simplify]: Simplify (+ 0 0) into 0 3.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.319 * [taylor]: Taking taylor expansion of x in x 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 1 into 1 3.320 * [backup-simplify]: Simplify (/ 1 1) into 1 3.320 * [backup-simplify]: Simplify (- 1) into -1 3.320 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.320 * [backup-simplify]: Simplify 0 into 0 3.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.321 * [backup-simplify]: Simplify (- 0) into 0 3.321 * [backup-simplify]: Simplify (+ 0 0) into 0 3.321 * [backup-simplify]: Simplify 0 into 0 3.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.322 * [backup-simplify]: Simplify (- 1) into -1 3.323 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.323 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 3.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.324 * [backup-simplify]: Simplify (- 0) into 0 3.324 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.324 * [backup-simplify]: Simplify -1/2 into -1/2 3.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.327 * [backup-simplify]: Simplify (- 0) into 0 3.328 * [backup-simplify]: Simplify (+ 0 0) into 0 3.328 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 3.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.329 * [backup-simplify]: Simplify (- 0) into 0 3.329 * [backup-simplify]: Simplify (+ 0 0) into 0 3.329 * [backup-simplify]: Simplify 0 into 0 3.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.331 * [backup-simplify]: Simplify (- 0) into 0 3.331 * [backup-simplify]: Simplify (+ 0 0) into 0 3.332 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.333 * [backup-simplify]: Simplify (- 0) into 0 3.333 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 3.333 * [backup-simplify]: Simplify -1/8 into -1/8 3.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.334 * [backup-simplify]: Simplify (- 0) into 0 3.335 * [backup-simplify]: Simplify (+ 0 0) into 0 3.336 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* -1/2 0)))) (* 2 1)) into 0 3.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.337 * [backup-simplify]: Simplify (- 0) into 0 3.337 * [backup-simplify]: Simplify (+ 0 0) into 0 3.337 * [backup-simplify]: Simplify 0 into 0 3.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.339 * [backup-simplify]: Simplify (- 0) into 0 3.339 * [backup-simplify]: Simplify (+ 0 0) into 0 3.341 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 3.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.342 * [backup-simplify]: Simplify (- 0) into 0 3.343 * [backup-simplify]: Simplify (+ -1/16 0) into -1/16 3.343 * [backup-simplify]: Simplify -1/16 into -1/16 3.343 * [backup-simplify]: Simplify (+ (* -1/16 (pow (/ 1 (- x)) 5)) (+ (* -1/8 (pow (/ 1 (- x)) 3)) (* -1/2 (/ 1 (- x))))) into (+ (* 1/16 (/ 1 (pow x 5))) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 3.343 * * * [progress]: simplifying candidates 3.343 * * * * [progress]: [ 1 / 38 ] simplifiying candidate # 3.344 * * * * [progress]: [ 2 / 38 ] simplifiying candidate # 3.344 * * * * [progress]: [ 3 / 38 ] simplifiying candidate # 3.344 * * * * [progress]: [ 4 / 38 ] simplifiying candidate # 3.344 * * * * [progress]: [ 5 / 38 ] simplifiying candidate # 3.344 * * * * [progress]: [ 6 / 38 ] simplifiying candidate # 3.344 * * * * [progress]: [ 7 / 38 ] simplifiying candidate # 3.344 * * * * [progress]: [ 8 / 38 ] simplifiying candidate # 3.344 * * * * [progress]: [ 9 / 38 ] simplifiying candidate # 3.344 * * * * [progress]: [ 10 / 38 ] simplifiying candidate # 3.344 * * * * [progress]: [ 11 / 38 ] simplifiying candidate # 3.344 * * * * [progress]: [ 12 / 38 ] simplifiying candidate # 3.344 * * * * [progress]: [ 13 / 38 ] simplifiying candidate # 3.344 * * * * [progress]: [ 14 / 38 ] simplifiying candidate # 3.344 * * * * [progress]: [ 15 / 38 ] simplifiying candidate # 3.344 * * * * [progress]: [ 16 / 38 ] simplifiying candidate # 3.344 * * * * [progress]: [ 17 / 38 ] simplifiying candidate # 3.345 * * * * [progress]: [ 18 / 38 ] simplifiying candidate # 3.345 * * * * [progress]: [ 19 / 38 ] simplifiying candidate #real (real->posit16 (sqrt (- (* x x) 1)))))))> 3.345 * * * * [progress]: [ 20 / 38 ] simplifiying candidate # 3.345 * * * * [progress]: [ 21 / 38 ] simplifiying candidate # 3.345 * * * * [progress]: [ 22 / 38 ] simplifiying candidate # 3.345 * * * * [progress]: [ 23 / 38 ] simplifiying candidate # 3.345 * * * * [progress]: [ 24 / 38 ] simplifiying candidate # 3.345 * * * * [progress]: [ 25 / 38 ] simplifiying candidate # 3.345 * * * * [progress]: [ 26 / 38 ] simplifiying candidate # 3.345 * * * * [progress]: [ 27 / 38 ] simplifiying candidate # 3.345 * * * * [progress]: [ 28 / 38 ] simplifiying candidate # 3.345 * * * * [progress]: [ 29 / 38 ] simplifiying candidate # 3.345 * * * * [progress]: [ 30 / 38 ] simplifiying candidate # 3.345 * * * * [progress]: [ 31 / 38 ] simplifiying candidate #real (real->posit16 (+ x (sqrt (- (* x x) 1)))))))> 3.345 * * * * [progress]: [ 32 / 38 ] simplifiying candidate # 3.345 * * * * [progress]: [ 33 / 38 ] simplifiying candidate # 3.345 * * * * [progress]: [ 34 / 38 ] simplifiying candidate # 3.345 * * * * [progress]: [ 35 / 38 ] simplifiying candidate # 3.346 * * * * [progress]: [ 36 / 38 ] simplifiying candidate # 3.346 * * * * [progress]: [ 37 / 38 ] simplifiying candidate # 3.346 * * * * [progress]: [ 38 / 38 ] simplifiying candidate # 3.346 * [simplify]: Simplifying: (log (sqrt (- (* x x) 1))) (exp (sqrt (- (* x x) 1))) (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1)))) (cbrt (sqrt (- (* x x) 1))) (* (* (sqrt (- (* x x) 1)) (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1))) (sqrt (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1)))) (sqrt (cbrt (- (* x x) 1))) (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (- (* x x) 1))) (sqrt 1) (sqrt (- (* x x) 1)) (sqrt (+ x (sqrt 1))) (sqrt (- x (sqrt 1))) (sqrt (+ x 1)) (sqrt (- x 1)) (sqrt (+ x 1)) (sqrt (- x 1)) (sqrt (- (pow (* x x) 3) (pow 1 3))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1 1) (* (* x x) 1)))) (sqrt (- (* (* x x) (* x x)) (* 1 1))) (sqrt (+ (* x x) 1)) (/ 1 2) (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (- (* x x) 1))) (real->posit16 (sqrt (- (* x x) 1))) (* (exp x) (exp (sqrt (- (* x x) 1)))) (log (+ x (sqrt (- (* x x) 1)))) (exp (+ x (sqrt (- (* x x) 1)))) (* (cbrt (+ x (sqrt (- (* x x) 1)))) (cbrt (+ x (sqrt (- (* x x) 1))))) (cbrt (+ x (sqrt (- (* x x) 1)))) (* (* (+ x (sqrt (- (* x x) 1))) (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1)))) (sqrt (+ x (sqrt (- (* x x) 1)))) (sqrt (+ x (sqrt (- (* x x) 1)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1)) 3)) (+ (* x x) (- (* (sqrt (- (* x x) 1)) (sqrt (- (* x x) 1))) (* x (sqrt (- (* x x) 1))))) (- (* x x) (* (sqrt (- (* x x) 1)) (sqrt (- (* x x) 1)))) (- x (sqrt (- (* x x) 1))) (+ x (sqrt (- (* x x) 1))) (real->posit16 (+ x (sqrt (- (* x x) 1)))) (+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) (+ x (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) (- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) (+ (* 1/16 (/ 1 (pow x 5))) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 3.348 * * [simplify]: iteration 0: 91 enodes 3.381 * * [simplify]: iteration 1: 208 enodes 3.465 * * [simplify]: iteration 2: 508 enodes 3.693 * * [simplify]: iteration 3: 1427 enodes 4.686 * * [simplify]: iteration complete: 5000 enodes 4.686 * * [simplify]: Extracting #0: cost 35 inf + 0 4.686 * * [simplify]: Extracting #1: cost 286 inf + 2 4.689 * * [simplify]: Extracting #2: cost 1225 inf + 522 4.702 * * [simplify]: Extracting #3: cost 1461 inf + 28458 4.744 * * [simplify]: Extracting #4: cost 550 inf + 196180 4.825 * * [simplify]: Extracting #5: cost 85 inf + 324775 4.936 * * [simplify]: Extracting #6: cost 21 inf + 346481 5.016 * * [simplify]: Extracting #7: cost 3 inf + 349205 5.095 * * [simplify]: Extracting #8: cost 0 inf + 350084 5.180 * [simplify]: Simplified to: (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 (+ 1 x)) (sqrt (- x 1)) (sqrt (+ 1 x)) (sqrt (- x 1)) (sqrt (+ 1 x)) (sqrt (- x 1)) (sqrt (- (* (* x x) (* (* x x) (* x x))) 1)) (sqrt (+ 1 (* (+ 1 (* x x)) (* x x)))) (sqrt (+ (* (* x x) (* x x)) -1)) (sqrt (- (* x x) -1)) 1/2 (sqrt (sqrt (+ -1 (* x x)))) (sqrt (sqrt (+ -1 (* x x)))) (real->posit16 (sqrt (+ -1 (* x x)))) (exp (+ x (sqrt (+ -1 (* x x))))) (log (+ x (sqrt (+ -1 (* x x))))) (exp (+ x (sqrt (+ -1 (* x x))))) (* (cbrt (+ x (sqrt (+ -1 (* x x))))) (cbrt (+ x (sqrt (+ -1 (* x x)))))) (cbrt (+ x (sqrt (+ -1 (* x x))))) (* (+ x (sqrt (+ -1 (* x x)))) (* (+ x (sqrt (+ -1 (* x x)))) (+ x (sqrt (+ -1 (* x x)))))) (sqrt (+ x (sqrt (+ -1 (* x x))))) (sqrt (+ x (sqrt (+ -1 (* x x))))) (+ (* x (* x x)) (* (sqrt (+ -1 (* x x))) (+ -1 (* x x)))) (+ (+ -1 (* x x)) (- (* x x) (* (sqrt (+ -1 (* x x))) x))) 1 (- x (sqrt (+ -1 (* x x)))) (+ x (sqrt (+ -1 (* x x)))) (real->posit16 (+ x (sqrt (+ -1 (* x x))))) (+ (sqrt -1) (+ (/ (* 1/2 x) (/ (sqrt -1) x)) (/ (* x x) (/ (sqrt -1) (* (* x x) 1/8))))) (- (- x (/ 1/2 x)) (/ (/ 1/8 x) (* x x))) (+ (/ (/ 1/8 x) (* x x)) (- (/ 1/2 x) x)) (+ (sqrt -1) (+ (/ (* 1/2 x) (/ (sqrt -1) x)) x)) (- (- (* x 2) (/ 1/2 x)) (/ (/ 1/8 x) (* x x))) (+ (+ (/ 1/2 x) (/ 1/16 (pow x 5))) (/ (/ 1/8 x) (* x x))) 5.182 * * * [progress]: adding candidates to table 5.325 * * [progress]: iteration 2 / 4 5.325 * * * [progress]: picking best candidate 5.328 * * * * [pick]: Picked # 5.328 * * * [progress]: localizing error 5.348 * * * [progress]: generating rewritten candidates 5.348 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 5.404 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 5.415 * * * [progress]: generating series expansions 5.415 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 5.415 * [backup-simplify]: Simplify (* (sqrt (+ x 1)) (sqrt (- x 1))) into (sqrt (* (+ x 1) (- x 1))) 5.415 * [approximate]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in (x) around 0 5.415 * [taylor]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in x 5.416 * [taylor]: Taking taylor expansion of (* (+ x 1) (- x 1)) in x 5.416 * [taylor]: Taking taylor expansion of (+ x 1) in x 5.416 * [taylor]: Taking taylor expansion of x in x 5.416 * [backup-simplify]: Simplify 0 into 0 5.416 * [backup-simplify]: Simplify 1 into 1 5.416 * [taylor]: Taking taylor expansion of 1 in x 5.416 * [backup-simplify]: Simplify 1 into 1 5.416 * [taylor]: Taking taylor expansion of (- x 1) in x 5.416 * [taylor]: Taking taylor expansion of x in x 5.416 * [backup-simplify]: Simplify 0 into 0 5.416 * [backup-simplify]: Simplify 1 into 1 5.416 * [taylor]: Taking taylor expansion of 1 in x 5.416 * [backup-simplify]: Simplify 1 into 1 5.417 * [backup-simplify]: Simplify (+ 0 1) into 1 5.417 * [backup-simplify]: Simplify (- 1) into -1 5.417 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.418 * [backup-simplify]: Simplify (* 1 -1) into -1 5.418 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.419 * [backup-simplify]: Simplify (- 0) into 0 5.419 * [backup-simplify]: Simplify (+ 1 0) into 1 5.419 * [backup-simplify]: Simplify (+ 1 0) into 1 5.420 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 -1)) into 0 5.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.421 * [taylor]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in x 5.421 * [taylor]: Taking taylor expansion of (* (+ x 1) (- x 1)) in x 5.421 * [taylor]: Taking taylor expansion of (+ x 1) in x 5.421 * [taylor]: Taking taylor expansion of x in x 5.421 * [backup-simplify]: Simplify 0 into 0 5.421 * [backup-simplify]: Simplify 1 into 1 5.421 * [taylor]: Taking taylor expansion of 1 in x 5.421 * [backup-simplify]: Simplify 1 into 1 5.421 * [taylor]: Taking taylor expansion of (- x 1) in x 5.421 * [taylor]: Taking taylor expansion of x in x 5.421 * [backup-simplify]: Simplify 0 into 0 5.421 * [backup-simplify]: Simplify 1 into 1 5.421 * [taylor]: Taking taylor expansion of 1 in x 5.421 * [backup-simplify]: Simplify 1 into 1 5.422 * [backup-simplify]: Simplify (+ 0 1) into 1 5.422 * [backup-simplify]: Simplify (- 1) into -1 5.422 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.423 * [backup-simplify]: Simplify (* 1 -1) into -1 5.423 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.423 * [backup-simplify]: Simplify (- 0) into 0 5.424 * [backup-simplify]: Simplify (+ 1 0) into 1 5.424 * [backup-simplify]: Simplify (+ 1 0) into 1 5.424 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 -1)) into 0 5.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.425 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.425 * [backup-simplify]: Simplify 0 into 0 5.425 * [backup-simplify]: Simplify (- 0) into 0 5.425 * [backup-simplify]: Simplify (+ 0 0) into 0 5.426 * [backup-simplify]: Simplify (+ 0 0) into 0 5.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 -1))) into 1 5.428 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 5.428 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 5.429 * [backup-simplify]: Simplify (- 0) into 0 5.429 * [backup-simplify]: Simplify (+ 0 0) into 0 5.429 * [backup-simplify]: Simplify (+ 0 0) into 0 5.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 5.431 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 5.431 * [backup-simplify]: Simplify 0 into 0 5.431 * [backup-simplify]: Simplify (- 0) into 0 5.431 * [backup-simplify]: Simplify (+ 0 0) into 0 5.431 * [backup-simplify]: Simplify (+ 0 0) into 0 5.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 5.435 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 5.435 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) 5.437 * [backup-simplify]: Simplify (+ (* (/ 1/8 (sqrt -1)) (pow x 4)) (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (sqrt -1))) into (+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 5.437 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 x) 1)) (sqrt (- (/ 1 x) 1))) into (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) 5.437 * [approximate]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in (x) around 0 5.437 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in x 5.437 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1) (- (/ 1 x) 1)) in x 5.437 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 5.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.437 * [taylor]: Taking taylor expansion of x in x 5.437 * [backup-simplify]: Simplify 0 into 0 5.437 * [backup-simplify]: Simplify 1 into 1 5.437 * [backup-simplify]: Simplify (/ 1 1) into 1 5.437 * [taylor]: Taking taylor expansion of 1 in x 5.437 * [backup-simplify]: Simplify 1 into 1 5.437 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 5.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.437 * [taylor]: Taking taylor expansion of x in x 5.437 * [backup-simplify]: Simplify 0 into 0 5.437 * [backup-simplify]: Simplify 1 into 1 5.438 * [backup-simplify]: Simplify (/ 1 1) into 1 5.438 * [taylor]: Taking taylor expansion of 1 in x 5.438 * [backup-simplify]: Simplify 1 into 1 5.438 * [backup-simplify]: Simplify (+ 1 0) into 1 5.438 * [backup-simplify]: Simplify (+ 1 0) into 1 5.439 * [backup-simplify]: Simplify (* 1 1) into 1 5.439 * [backup-simplify]: Simplify (sqrt 1) into 1 5.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.439 * [backup-simplify]: Simplify (- 1) into -1 5.440 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.440 * [backup-simplify]: Simplify (+ 0 1) into 1 5.441 * [backup-simplify]: Simplify (+ (* 1 -1) (* 1 1)) into 0 5.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.441 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in x 5.441 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1) (- (/ 1 x) 1)) in x 5.441 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 5.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.441 * [taylor]: Taking taylor expansion of x in x 5.441 * [backup-simplify]: Simplify 0 into 0 5.441 * [backup-simplify]: Simplify 1 into 1 5.442 * [backup-simplify]: Simplify (/ 1 1) into 1 5.442 * [taylor]: Taking taylor expansion of 1 in x 5.442 * [backup-simplify]: Simplify 1 into 1 5.442 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 5.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.442 * [taylor]: Taking taylor expansion of x in x 5.442 * [backup-simplify]: Simplify 0 into 0 5.442 * [backup-simplify]: Simplify 1 into 1 5.442 * [backup-simplify]: Simplify (/ 1 1) into 1 5.442 * [taylor]: Taking taylor expansion of 1 in x 5.442 * [backup-simplify]: Simplify 1 into 1 5.442 * [backup-simplify]: Simplify (+ 1 0) into 1 5.442 * [backup-simplify]: Simplify (+ 1 0) into 1 5.443 * [backup-simplify]: Simplify (* 1 1) into 1 5.443 * [backup-simplify]: Simplify (sqrt 1) into 1 5.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.444 * [backup-simplify]: Simplify (- 1) into -1 5.445 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.446 * [backup-simplify]: Simplify (+ 0 1) into 1 5.446 * [backup-simplify]: Simplify (+ (* 1 -1) (* 1 1)) into 0 5.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.447 * [backup-simplify]: Simplify 1 into 1 5.447 * [backup-simplify]: Simplify 0 into 0 5.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.449 * [backup-simplify]: Simplify (- 0) into 0 5.449 * [backup-simplify]: Simplify (+ 0 0) into 0 5.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.450 * [backup-simplify]: Simplify (+ 0 0) into 0 5.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 -1) (* 0 1))) into -1 5.453 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 5.453 * [backup-simplify]: Simplify -1/2 into -1/2 5.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.454 * [backup-simplify]: Simplify (- 0) into 0 5.455 * [backup-simplify]: Simplify (+ 0 0) into 0 5.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.456 * [backup-simplify]: Simplify (+ 0 0) into 0 5.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 -1) (* 0 1)))) into 0 5.458 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 5.458 * [backup-simplify]: Simplify 0 into 0 5.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.460 * [backup-simplify]: Simplify (- 0) into 0 5.460 * [backup-simplify]: Simplify (+ 0 0) into 0 5.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.462 * [backup-simplify]: Simplify (+ 0 0) into 0 5.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1))))) into 0 5.464 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.464 * [backup-simplify]: Simplify -1/8 into -1/8 5.465 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 5.465 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (- x)) 1)) (sqrt (- (/ 1 (- x)) 1))) into (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) 5.465 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in (x) around 0 5.465 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in x 5.465 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 5.465 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 5.465 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 5.465 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.466 * [taylor]: Taking taylor expansion of x in x 5.466 * [backup-simplify]: Simplify 0 into 0 5.466 * [backup-simplify]: Simplify 1 into 1 5.466 * [backup-simplify]: Simplify (/ 1 1) into 1 5.466 * [taylor]: Taking taylor expansion of 1 in x 5.466 * [backup-simplify]: Simplify 1 into 1 5.466 * [backup-simplify]: Simplify (+ 1 0) into 1 5.467 * [backup-simplify]: Simplify (- 1) into -1 5.467 * [backup-simplify]: Simplify (sqrt 0) into 0 5.468 * [backup-simplify]: Simplify (- 1) into -1 5.469 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.469 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 5.469 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 5.469 * [taylor]: Taking taylor expansion of 1 in x 5.469 * [backup-simplify]: Simplify 1 into 1 5.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.469 * [taylor]: Taking taylor expansion of x in x 5.469 * [backup-simplify]: Simplify 0 into 0 5.469 * [backup-simplify]: Simplify 1 into 1 5.470 * [backup-simplify]: Simplify (/ 1 1) into 1 5.470 * [backup-simplify]: Simplify (- 1) into -1 5.471 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.471 * [backup-simplify]: Simplify (sqrt 0) into 0 5.473 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.473 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in x 5.473 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 5.473 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 5.473 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 5.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.473 * [taylor]: Taking taylor expansion of x in x 5.473 * [backup-simplify]: Simplify 0 into 0 5.473 * [backup-simplify]: Simplify 1 into 1 5.473 * [backup-simplify]: Simplify (/ 1 1) into 1 5.473 * [taylor]: Taking taylor expansion of 1 in x 5.473 * [backup-simplify]: Simplify 1 into 1 5.474 * [backup-simplify]: Simplify (+ 1 0) into 1 5.474 * [backup-simplify]: Simplify (- 1) into -1 5.474 * [backup-simplify]: Simplify (sqrt 0) into 0 5.475 * [backup-simplify]: Simplify (- 1) into -1 5.476 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.476 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 5.476 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 5.476 * [taylor]: Taking taylor expansion of 1 in x 5.476 * [backup-simplify]: Simplify 1 into 1 5.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.476 * [taylor]: Taking taylor expansion of x in x 5.476 * [backup-simplify]: Simplify 0 into 0 5.476 * [backup-simplify]: Simplify 1 into 1 5.477 * [backup-simplify]: Simplify (/ 1 1) into 1 5.477 * [backup-simplify]: Simplify (- 1) into -1 5.477 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.478 * [backup-simplify]: Simplify (sqrt 0) into 0 5.479 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.480 * [backup-simplify]: Simplify (* 0 0) into 0 5.480 * [backup-simplify]: Simplify 0 into 0 5.480 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 5.480 * [backup-simplify]: Simplify 0 into 0 5.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.482 * [backup-simplify]: Simplify (- 0) into 0 5.482 * [backup-simplify]: Simplify (+ 1 0) into 1 5.485 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.486 * [backup-simplify]: Simplify (+ 0 1) into 1 5.487 * [backup-simplify]: Simplify (- 1) into -1 5.490 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.493 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 5.493 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.498 * [backup-simplify]: Simplify (- 0) into 0 5.498 * [backup-simplify]: Simplify (+ 0 0) into 0 5.502 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.504 * [backup-simplify]: Simplify (+ 0 0) into 0 5.504 * [backup-simplify]: Simplify (- 0) into 0 5.509 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.512 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 5.513 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.514 * [backup-simplify]: Simplify (- 0) into 0 5.515 * [backup-simplify]: Simplify (+ 0 0) into 0 5.519 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.521 * [backup-simplify]: Simplify (+ 0 0) into 0 5.521 * [backup-simplify]: Simplify (- 0) into 0 5.526 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.531 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 5.531 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.533 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 5.533 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 5.533 * [backup-simplify]: Simplify (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))) into (+ x (sqrt (* (+ x 1) (- x 1)))) 5.533 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ x 1) (- x 1)))) in (x) around 0 5.533 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x 1) (- x 1)))) in x 5.533 * [taylor]: Taking taylor expansion of x in x 5.533 * [backup-simplify]: Simplify 0 into 0 5.533 * [backup-simplify]: Simplify 1 into 1 5.533 * [taylor]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in x 5.533 * [taylor]: Taking taylor expansion of (* (+ x 1) (- x 1)) in x 5.533 * [taylor]: Taking taylor expansion of (+ x 1) in x 5.533 * [taylor]: Taking taylor expansion of x in x 5.533 * [backup-simplify]: Simplify 0 into 0 5.533 * [backup-simplify]: Simplify 1 into 1 5.533 * [taylor]: Taking taylor expansion of 1 in x 5.533 * [backup-simplify]: Simplify 1 into 1 5.533 * [taylor]: Taking taylor expansion of (- x 1) in x 5.533 * [taylor]: Taking taylor expansion of x in x 5.533 * [backup-simplify]: Simplify 0 into 0 5.533 * [backup-simplify]: Simplify 1 into 1 5.533 * [taylor]: Taking taylor expansion of 1 in x 5.534 * [backup-simplify]: Simplify 1 into 1 5.534 * [backup-simplify]: Simplify (+ 0 1) into 1 5.534 * [backup-simplify]: Simplify (- 1) into -1 5.535 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.535 * [backup-simplify]: Simplify (* 1 -1) into -1 5.536 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.536 * [backup-simplify]: Simplify (- 0) into 0 5.536 * [backup-simplify]: Simplify (+ 1 0) into 1 5.537 * [backup-simplify]: Simplify (+ 1 0) into 1 5.537 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 -1)) into 0 5.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.538 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x 1) (- x 1)))) in x 5.538 * [taylor]: Taking taylor expansion of x in x 5.538 * [backup-simplify]: Simplify 0 into 0 5.538 * [backup-simplify]: Simplify 1 into 1 5.538 * [taylor]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in x 5.538 * [taylor]: Taking taylor expansion of (* (+ x 1) (- x 1)) in x 5.538 * [taylor]: Taking taylor expansion of (+ x 1) in x 5.538 * [taylor]: Taking taylor expansion of x in x 5.538 * [backup-simplify]: Simplify 0 into 0 5.538 * [backup-simplify]: Simplify 1 into 1 5.538 * [taylor]: Taking taylor expansion of 1 in x 5.538 * [backup-simplify]: Simplify 1 into 1 5.538 * [taylor]: Taking taylor expansion of (- x 1) in x 5.538 * [taylor]: Taking taylor expansion of x in x 5.539 * [backup-simplify]: Simplify 0 into 0 5.539 * [backup-simplify]: Simplify 1 into 1 5.539 * [taylor]: Taking taylor expansion of 1 in x 5.539 * [backup-simplify]: Simplify 1 into 1 5.539 * [backup-simplify]: Simplify (+ 0 1) into 1 5.539 * [backup-simplify]: Simplify (- 1) into -1 5.540 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.540 * [backup-simplify]: Simplify (* 1 -1) into -1 5.541 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.541 * [backup-simplify]: Simplify (- 0) into 0 5.541 * [backup-simplify]: Simplify (+ 1 0) into 1 5.542 * [backup-simplify]: Simplify (+ 1 0) into 1 5.542 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 -1)) into 0 5.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.544 * [backup-simplify]: Simplify (+ 0 (sqrt -1)) into (sqrt -1) 5.545 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.545 * [backup-simplify]: Simplify (+ 1 0) into 1 5.545 * [backup-simplify]: Simplify 1 into 1 5.545 * [backup-simplify]: Simplify (- 0) into 0 5.546 * [backup-simplify]: Simplify (+ 0 0) into 0 5.546 * [backup-simplify]: Simplify (+ 0 0) into 0 5.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 -1))) into 1 5.550 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 5.552 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt -1))) into (* 1/2 (/ 1 (sqrt -1))) 5.553 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) 5.555 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (+ (* 1 x) (sqrt -1))) into (+ x (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 5.555 * [backup-simplify]: Simplify (+ (/ 1 x) (* (sqrt (+ (/ 1 x) 1)) (sqrt (- (/ 1 x) 1)))) into (+ (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) (/ 1 x)) 5.555 * [approximate]: Taking taylor expansion of (+ (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) (/ 1 x)) in (x) around 0 5.555 * [taylor]: Taking taylor expansion of (+ (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) (/ 1 x)) in x 5.555 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in x 5.556 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1) (- (/ 1 x) 1)) in x 5.556 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 5.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.556 * [taylor]: Taking taylor expansion of x in x 5.556 * [backup-simplify]: Simplify 0 into 0 5.556 * [backup-simplify]: Simplify 1 into 1 5.556 * [backup-simplify]: Simplify (/ 1 1) into 1 5.556 * [taylor]: Taking taylor expansion of 1 in x 5.556 * [backup-simplify]: Simplify 1 into 1 5.556 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 5.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.556 * [taylor]: Taking taylor expansion of x in x 5.556 * [backup-simplify]: Simplify 0 into 0 5.556 * [backup-simplify]: Simplify 1 into 1 5.557 * [backup-simplify]: Simplify (/ 1 1) into 1 5.557 * [taylor]: Taking taylor expansion of 1 in x 5.557 * [backup-simplify]: Simplify 1 into 1 5.557 * [backup-simplify]: Simplify (+ 1 0) into 1 5.558 * [backup-simplify]: Simplify (+ 1 0) into 1 5.558 * [backup-simplify]: Simplify (* 1 1) into 1 5.559 * [backup-simplify]: Simplify (sqrt 1) into 1 5.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.560 * [backup-simplify]: Simplify (- 1) into -1 5.560 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.561 * [backup-simplify]: Simplify (+ 0 1) into 1 5.562 * [backup-simplify]: Simplify (+ (* 1 -1) (* 1 1)) into 0 5.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.563 * [taylor]: Taking taylor expansion of x in x 5.563 * [backup-simplify]: Simplify 0 into 0 5.563 * [backup-simplify]: Simplify 1 into 1 5.563 * [backup-simplify]: Simplify (/ 1 1) into 1 5.563 * [taylor]: Taking taylor expansion of (+ (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) (/ 1 x)) in x 5.563 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in x 5.563 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1) (- (/ 1 x) 1)) in x 5.563 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 5.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.563 * [taylor]: Taking taylor expansion of x in x 5.563 * [backup-simplify]: Simplify 0 into 0 5.563 * [backup-simplify]: Simplify 1 into 1 5.564 * [backup-simplify]: Simplify (/ 1 1) into 1 5.564 * [taylor]: Taking taylor expansion of 1 in x 5.564 * [backup-simplify]: Simplify 1 into 1 5.564 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 5.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.564 * [taylor]: Taking taylor expansion of x in x 5.564 * [backup-simplify]: Simplify 0 into 0 5.564 * [backup-simplify]: Simplify 1 into 1 5.564 * [backup-simplify]: Simplify (/ 1 1) into 1 5.564 * [taylor]: Taking taylor expansion of 1 in x 5.564 * [backup-simplify]: Simplify 1 into 1 5.565 * [backup-simplify]: Simplify (+ 1 0) into 1 5.566 * [backup-simplify]: Simplify (+ 1 0) into 1 5.566 * [backup-simplify]: Simplify (* 1 1) into 1 5.566 * [backup-simplify]: Simplify (sqrt 1) into 1 5.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.567 * [backup-simplify]: Simplify (- 1) into -1 5.568 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.569 * [backup-simplify]: Simplify (+ 0 1) into 1 5.570 * [backup-simplify]: Simplify (+ (* 1 -1) (* 1 1)) into 0 5.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.571 * [taylor]: Taking taylor expansion of x in x 5.571 * [backup-simplify]: Simplify 0 into 0 5.571 * [backup-simplify]: Simplify 1 into 1 5.571 * [backup-simplify]: Simplify (/ 1 1) into 1 5.571 * [backup-simplify]: Simplify (+ 1 1) into 2 5.572 * [backup-simplify]: Simplify 2 into 2 5.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.573 * [backup-simplify]: Simplify (+ 0 0) into 0 5.573 * [backup-simplify]: Simplify 0 into 0 5.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.574 * [backup-simplify]: Simplify (- 0) into 0 5.574 * [backup-simplify]: Simplify (+ 0 0) into 0 5.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.576 * [backup-simplify]: Simplify (+ 0 0) into 0 5.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 -1) (* 0 1))) into -1 5.578 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 5.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.579 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 5.579 * [backup-simplify]: Simplify -1/2 into -1/2 5.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.580 * [backup-simplify]: Simplify (- 0) into 0 5.581 * [backup-simplify]: Simplify (+ 0 0) into 0 5.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.582 * [backup-simplify]: Simplify (+ 0 0) into 0 5.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 -1) (* 0 1)))) into 0 5.584 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 5.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.586 * [backup-simplify]: Simplify (+ 0 0) into 0 5.586 * [backup-simplify]: Simplify 0 into 0 5.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.587 * [backup-simplify]: Simplify (- 0) into 0 5.587 * [backup-simplify]: Simplify (+ 0 0) into 0 5.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.589 * [backup-simplify]: Simplify (+ 0 0) into 0 5.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1))))) into 0 5.591 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.593 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 5.593 * [backup-simplify]: Simplify -1/8 into -1/8 5.593 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 2 (/ 1 (/ 1 x))))) into (- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 5.594 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* (sqrt (+ (/ 1 (- x)) 1)) (sqrt (- (/ 1 (- x)) 1)))) into (- (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) (/ 1 x)) 5.594 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) (/ 1 x)) in (x) around 0 5.594 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) (/ 1 x)) in x 5.594 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in x 5.594 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 5.594 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 5.594 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 5.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.594 * [taylor]: Taking taylor expansion of x in x 5.594 * [backup-simplify]: Simplify 0 into 0 5.594 * [backup-simplify]: Simplify 1 into 1 5.594 * [backup-simplify]: Simplify (/ 1 1) into 1 5.594 * [taylor]: Taking taylor expansion of 1 in x 5.594 * [backup-simplify]: Simplify 1 into 1 5.595 * [backup-simplify]: Simplify (+ 1 0) into 1 5.595 * [backup-simplify]: Simplify (- 1) into -1 5.596 * [backup-simplify]: Simplify (sqrt 0) into 0 5.596 * [backup-simplify]: Simplify (- 1) into -1 5.598 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.598 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 5.598 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 5.598 * [taylor]: Taking taylor expansion of 1 in x 5.598 * [backup-simplify]: Simplify 1 into 1 5.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.598 * [taylor]: Taking taylor expansion of x in x 5.598 * [backup-simplify]: Simplify 0 into 0 5.598 * [backup-simplify]: Simplify 1 into 1 5.598 * [backup-simplify]: Simplify (/ 1 1) into 1 5.599 * [backup-simplify]: Simplify (- 1) into -1 5.599 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.600 * [backup-simplify]: Simplify (sqrt 0) into 0 5.601 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.601 * [taylor]: Taking taylor expansion of x in x 5.601 * [backup-simplify]: Simplify 0 into 0 5.601 * [backup-simplify]: Simplify 1 into 1 5.602 * [backup-simplify]: Simplify (/ 1 1) into 1 5.602 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) (/ 1 x)) in x 5.602 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in x 5.602 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 5.602 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 5.602 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 5.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.602 * [taylor]: Taking taylor expansion of x in x 5.602 * [backup-simplify]: Simplify 0 into 0 5.602 * [backup-simplify]: Simplify 1 into 1 5.602 * [backup-simplify]: Simplify (/ 1 1) into 1 5.602 * [taylor]: Taking taylor expansion of 1 in x 5.602 * [backup-simplify]: Simplify 1 into 1 5.603 * [backup-simplify]: Simplify (+ 1 0) into 1 5.603 * [backup-simplify]: Simplify (- 1) into -1 5.603 * [backup-simplify]: Simplify (sqrt 0) into 0 5.604 * [backup-simplify]: Simplify (- 1) into -1 5.605 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.605 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 5.605 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 5.605 * [taylor]: Taking taylor expansion of 1 in x 5.605 * [backup-simplify]: Simplify 1 into 1 5.605 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.605 * [taylor]: Taking taylor expansion of x in x 5.605 * [backup-simplify]: Simplify 0 into 0 5.605 * [backup-simplify]: Simplify 1 into 1 5.606 * [backup-simplify]: Simplify (/ 1 1) into 1 5.606 * [backup-simplify]: Simplify (- 1) into -1 5.607 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.607 * [backup-simplify]: Simplify (sqrt 0) into 0 5.608 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.608 * [taylor]: Taking taylor expansion of x in x 5.608 * [backup-simplify]: Simplify 0 into 0 5.608 * [backup-simplify]: Simplify 1 into 1 5.609 * [backup-simplify]: Simplify (/ 1 1) into 1 5.609 * [backup-simplify]: Simplify (* 0 0) into 0 5.610 * [backup-simplify]: Simplify (+ 0 0) into 0 5.610 * [backup-simplify]: Simplify 0 into 0 5.610 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 5.611 * [backup-simplify]: Simplify (- 1) into -1 5.611 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.611 * [backup-simplify]: Simplify -1 into -1 5.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.612 * [backup-simplify]: Simplify (- 0) into 0 5.613 * [backup-simplify]: Simplify (+ 1 0) into 1 5.616 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.617 * [backup-simplify]: Simplify (+ 0 1) into 1 5.618 * [backup-simplify]: Simplify (- 1) into -1 5.621 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.624 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 5.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.625 * [backup-simplify]: Simplify (- 0) into 0 5.626 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 5.626 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.627 * [backup-simplify]: Simplify (- 0) into 0 5.627 * [backup-simplify]: Simplify (+ 0 0) into 0 5.630 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.630 * [backup-simplify]: Simplify (+ 0 0) into 0 5.631 * [backup-simplify]: Simplify (- 0) into 0 5.633 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.637 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 5.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.638 * [backup-simplify]: Simplify (- 0) into 0 5.638 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 5.638 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.639 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 (- x))) (+ (- +nan.0) (* -1 (/ 1 (/ 1 (- x)))))) into (- x (+ (* +nan.0 (/ 1 x)) (- +nan.0))) 5.639 * * * [progress]: simplifying candidates 5.639 * * * * [progress]: [ 1 / 62 ] simplifiying candidate # 5.639 * * * * [progress]: [ 2 / 62 ] simplifiying candidate # 5.639 * * * * [progress]: [ 3 / 62 ] simplifiying candidate # 5.639 * * * * [progress]: [ 4 / 62 ] simplifiying candidate # 5.639 * * * * [progress]: [ 5 / 62 ] simplifiying candidate # 5.639 * * * * [progress]: [ 6 / 62 ] simplifiying candidate # 5.639 * * * * [progress]: [ 7 / 62 ] simplifiying candidate # 5.639 * * * * [progress]: [ 8 / 62 ] simplifiying candidate # 5.639 * * * * [progress]: [ 9 / 62 ] simplifiying candidate # 5.639 * * * * [progress]: [ 10 / 62 ] simplifiying candidate # 5.639 * * * * [progress]: [ 11 / 62 ] simplifiying candidate # 5.639 * * * * [progress]: [ 12 / 62 ] simplifiying candidate # 5.640 * * * * [progress]: [ 13 / 62 ] simplifiying candidate # 5.640 * * * * [progress]: [ 14 / 62 ] simplifiying candidate # 5.640 * * * * [progress]: [ 15 / 62 ] simplifiying candidate # 5.640 * * * * [progress]: [ 16 / 62 ] simplifiying candidate # 5.640 * * * * [progress]: [ 17 / 62 ] simplifiying candidate # 5.640 * * * * [progress]: [ 18 / 62 ] simplifiying candidate # 5.640 * * * * [progress]: [ 19 / 62 ] simplifiying candidate # 5.640 * * * * [progress]: [ 20 / 62 ] simplifiying candidate # 5.640 * * * * [progress]: [ 21 / 62 ] simplifiying candidate # 5.640 * * * * [progress]: [ 22 / 62 ] simplifiying candidate # 5.640 * * * * [progress]: [ 23 / 62 ] simplifiying candidate # 5.640 * * * * [progress]: [ 24 / 62 ] simplifiying candidate # 5.640 * * * * [progress]: [ 25 / 62 ] simplifiying candidate # 5.640 * * * * [progress]: [ 26 / 62 ] simplifiying candidate # 5.640 * * * * [progress]: [ 27 / 62 ] simplifiying candidate # 5.640 * * * * [progress]: [ 28 / 62 ] simplifiying candidate # 5.640 * * * * [progress]: [ 29 / 62 ] simplifiying candidate # 5.640 * * * * [progress]: [ 30 / 62 ] simplifiying candidate # 5.640 * * * * [progress]: [ 31 / 62 ] simplifiying candidate # 5.640 * * * * [progress]: [ 32 / 62 ] simplifiying candidate # 5.640 * * * * [progress]: [ 33 / 62 ] simplifiying candidate # 5.640 * * * * [progress]: [ 34 / 62 ] simplifiying candidate # 5.640 * * * * [progress]: [ 35 / 62 ] simplifiying candidate # 5.640 * * * * [progress]: [ 36 / 62 ] simplifiying candidate # 5.641 * * * * [progress]: [ 37 / 62 ] simplifiying candidate # 5.641 * * * * [progress]: [ 38 / 62 ] simplifiying candidate # 5.641 * * * * [progress]: [ 39 / 62 ] simplifiying candidate # 5.641 * * * * [progress]: [ 40 / 62 ] simplifiying candidate # 5.641 * * * * [progress]: [ 41 / 62 ] simplifiying candidate # 5.641 * * * * [progress]: [ 42 / 62 ] simplifiying candidate # 5.641 * * * * [progress]: [ 43 / 62 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ x 1)) (sqrt (- x 1))))))))> 5.641 * * * * [progress]: [ 44 / 62 ] simplifiying candidate # 5.641 * * * * [progress]: [ 45 / 62 ] simplifiying candidate # 5.641 * * * * [progress]: [ 46 / 62 ] simplifiying candidate # 5.641 * * * * [progress]: [ 47 / 62 ] simplifiying candidate # 5.641 * * * * [progress]: [ 48 / 62 ] simplifiying candidate # 5.641 * * * * [progress]: [ 49 / 62 ] simplifiying candidate # 5.641 * * * * [progress]: [ 50 / 62 ] simplifiying candidate # 5.641 * * * * [progress]: [ 51 / 62 ] simplifiying candidate # 5.641 * * * * [progress]: [ 52 / 62 ] simplifiying candidate # 5.641 * * * * [progress]: [ 53 / 62 ] simplifiying candidate # 5.641 * * * * [progress]: [ 54 / 62 ] simplifiying candidate # 5.641 * * * * [progress]: [ 55 / 62 ] simplifiying candidate #real (real->posit16 (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))))))> 5.641 * * * * [progress]: [ 56 / 62 ] simplifiying candidate # 5.641 * * * * [progress]: [ 57 / 62 ] simplifiying candidate # 5.641 * * * * [progress]: [ 58 / 62 ] simplifiying candidate # 5.641 * * * * [progress]: [ 59 / 62 ] simplifiying candidate # 5.641 * * * * [progress]: [ 60 / 62 ] simplifiying candidate # 5.641 * * * * [progress]: [ 61 / 62 ] simplifiying candidate # 5.641 * * * * [progress]: [ 62 / 62 ] simplifiying candidate # 5.642 * [simplify]: Simplifying: (* (+ x 1) (- x 1)) (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (+ x 1) (- x 1)) (+ (log (sqrt (+ x 1))) (log (sqrt (- x 1)))) (log (* (sqrt (+ x 1)) (sqrt (- x 1)))) (exp (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1))) (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1)))) (* (cbrt (* (sqrt (+ x 1)) (sqrt (- x 1)))) (cbrt (* (sqrt (+ x 1)) (sqrt (- x 1))))) (cbrt (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (* (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (+ x 1) (- x 1)) (sqrt (* (sqrt (+ x 1)) (sqrt (- x 1)))) (sqrt (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (- (pow x 3) (pow 1 3)))) (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (+ (* x x) (+ (* 1 1) (* x 1))))) (* (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (- (* x x) (* 1 1)))) (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (+ x 1))) (* (sqrt (- (* x x) (* 1 1))) (sqrt (- (pow x 3) (pow 1 3)))) (* (sqrt (- x 1)) (sqrt (+ (* x x) (+ (* 1 1) (* x 1))))) (* (sqrt (- (* x x) (* 1 1))) (sqrt (- (* x x) (* 1 1)))) (* (sqrt (- x 1)) (sqrt (+ x 1))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (+ x 1)) (* (cbrt (sqrt (- x 1))) (cbrt (sqrt (- x 1))))) (* (sqrt (+ x 1)) (sqrt (* (cbrt (- x 1)) (cbrt (- x 1))))) (* (sqrt (+ x 1)) (sqrt (sqrt (- x 1)))) (* (sqrt (+ x 1)) (sqrt 1)) (* (sqrt (+ x 1)) (sqrt (+ (sqrt x) (sqrt 1)))) (* (sqrt (+ x 1)) (sqrt (+ (sqrt x) 1))) (* (sqrt (+ x 1)) (sqrt (+ (sqrt x) 1))) (* (sqrt (+ x 1)) (sqrt 1)) (* (sqrt (+ x 1)) (sqrt (sqrt (- x 1)))) (* (sqrt (+ x 1)) 1) (* (cbrt (sqrt (+ x 1))) (sqrt (- x 1))) (* (sqrt (cbrt (+ x 1))) (sqrt (- x 1))) (* (sqrt (sqrt (+ x 1))) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (sqrt (sqrt (+ x 1))) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- (pow x 3) (pow 1 3)))) (* (sqrt (+ x 1)) (sqrt (- (* x x) (* 1 1)))) (* (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (- x 1))) (* (sqrt (- (* x x) (* 1 1))) (sqrt (- x 1))) (real->posit16 (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (exp x) (exp (* (sqrt (+ x 1)) (sqrt (- x 1))))) (log (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (exp (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (* (cbrt (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (cbrt (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))))) (cbrt (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (* (* (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))) (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (sqrt (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (sqrt (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (+ (pow x 3) (pow (* (sqrt (+ x 1)) (sqrt (- x 1))) 3)) (+ (* x x) (- (* (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* x (* (sqrt (+ x 1)) (sqrt (- x 1)))))) (- (* x x) (* (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))))) (- x (* (sqrt (+ x 1)) (sqrt (- x 1)))) (real->posit16 (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (+ x (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) (- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) (- x (+ (* +nan.0 (/ 1 x)) (- +nan.0))) 5.643 * * [simplify]: iteration 0: 132 enodes 5.698 * * [simplify]: iteration 1: 304 enodes 5.794 * * [simplify]: iteration 2: 738 enodes 6.165 * * [simplify]: iteration 3: 2248 enodes 7.150 * * [simplify]: iteration complete: 5000 enodes 7.151 * * [simplify]: Extracting #0: cost 47 inf + 0 7.152 * * [simplify]: Extracting #1: cost 351 inf + 0 7.158 * * [simplify]: Extracting #2: cost 1210 inf + 1409 7.189 * * [simplify]: Extracting #3: cost 1160 inf + 82536 7.270 * * [simplify]: Extracting #4: cost 359 inf + 294746 7.354 * * [simplify]: Extracting #5: cost 112 inf + 372089 7.477 * * [simplify]: Extracting #6: cost 12 inf + 400209 7.562 * * [simplify]: Extracting #7: cost 0 inf + 404052 7.642 * [simplify]: Simplified to: (* (+ 1 x) (+ x -1)) (* (sqrt (+ 1 x)) (sqrt (+ x -1))) (* (+ 1 x) (+ x -1)) (log (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (log (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (exp (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (* (* (+ 1 x) (sqrt (+ x -1))) (* (sqrt (+ 1 x)) (+ x -1))) (* (cbrt (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (cbrt (* (sqrt (+ 1 x)) (sqrt (+ x -1))))) (cbrt (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (* (* (+ 1 x) (sqrt (+ x -1))) (* (sqrt (+ 1 x)) (+ x -1))) (* (+ 1 x) (+ x -1)) (sqrt (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (sqrt (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (* (sqrt (+ (* (* x x) x) -1)) (sqrt (+ 1 (* (* x x) x)))) (* (sqrt (- (+ 1 (* x x)) x)) (sqrt (+ (* x x) (+ 1 x)))) (* (sqrt (+ -1 (* x x))) (sqrt (+ 1 (* (* x x) x)))) (* (sqrt (+ 1 x)) (sqrt (- (+ 1 (* x x)) x))) (* (sqrt (+ (* (* x x) x) -1)) (sqrt (+ -1 (* x x)))) (* (sqrt (+ (* x x) (+ 1 x))) (sqrt (+ x -1))) (+ -1 (* x x)) (* (sqrt (+ 1 x)) (sqrt (+ x -1))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (cbrt (sqrt (+ x -1))) (* (cbrt (sqrt (+ x -1))) (sqrt (+ 1 x)))) (* (fabs (cbrt (+ x -1))) (sqrt (+ 1 x))) (* (sqrt (+ 1 x)) (sqrt (sqrt (+ x -1)))) (sqrt (+ 1 x)) (* (sqrt (+ 1 x)) (sqrt (+ (sqrt x) 1))) (* (sqrt (+ 1 x)) (sqrt (+ (sqrt x) 1))) (* (sqrt (+ 1 x)) (sqrt (+ (sqrt x) 1))) (sqrt (+ 1 x)) (* (sqrt (+ 1 x)) (sqrt (sqrt (+ x -1)))) (sqrt (+ 1 x)) (* (cbrt (sqrt (+ 1 x))) (sqrt (+ x -1))) (* (sqrt (cbrt (+ 1 x))) (sqrt (+ x -1))) (* (sqrt (sqrt (+ 1 x))) (sqrt (+ x -1))) (* (sqrt (+ 1 x)) (sqrt (+ x -1))) (* (sqrt (+ 1 x)) (sqrt (+ x -1))) (* (sqrt (sqrt (+ 1 x))) (sqrt (+ x -1))) (* (sqrt (+ 1 x)) (sqrt (+ x -1))) (* (sqrt (+ (* (* x x) x) -1)) (sqrt (+ 1 x))) (* (sqrt (+ 1 x)) (sqrt (+ -1 (* x x)))) (* (sqrt (+ 1 (* (* x x) x))) (sqrt (+ x -1))) (* (sqrt (+ -1 (* x x))) (sqrt (+ x -1))) (real->posit16 (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (exp (+ x (* (sqrt (+ 1 x)) (sqrt (+ x -1))))) (log (+ x (* (sqrt (+ 1 x)) (sqrt (+ x -1))))) (exp (+ x (* (sqrt (+ 1 x)) (sqrt (+ x -1))))) (* (cbrt (+ x (* (sqrt (+ 1 x)) (sqrt (+ x -1))))) (cbrt (+ x (* (sqrt (+ 1 x)) (sqrt (+ x -1)))))) (cbrt (+ x (* (sqrt (+ 1 x)) (sqrt (+ x -1))))) (* (+ x (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (* (+ x (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (+ x (* (sqrt (+ 1 x)) (sqrt (+ x -1)))))) (sqrt (+ x (* (sqrt (+ 1 x)) (sqrt (+ x -1))))) (sqrt (+ x (* (sqrt (+ 1 x)) (sqrt (+ x -1))))) (+ (* (* (+ 1 x) (sqrt (+ x -1))) (* (sqrt (+ 1 x)) (+ x -1))) (* (* x x) x)) (+ (* (* (sqrt (+ 1 x)) (sqrt (+ x -1))) (- (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x)) (* x x)) (- (* x x) (* (+ 1 x) (+ x -1))) (- x (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (real->posit16 (+ x (* (sqrt (+ 1 x)) (sqrt (+ x -1))))) (+ (+ (* (/ 1/2 (sqrt -1)) (* x x)) (* (/ 1/8 (sqrt -1)) (* (* x x) (* x x)))) (sqrt -1)) (+ (+ (/ -1/2 x) (/ -1/8 (* (* x x) x))) x) (- (+ (- (/ (/ +nan.0 x) x) (/ +nan.0 x)) +nan.0)) (+ (+ (* (/ 1/2 (sqrt -1)) (* x x)) x) (sqrt -1)) (+ (+ (/ -1/2 x) (/ -1/8 (* (* x x) x))) (* x 2)) (+ (- x (/ +nan.0 x)) +nan.0) 7.647 * * * [progress]: adding candidates to table 7.896 * [progress]: [Phase 3 of 3] Extracting. 7.901 * [simplify]: Simplifying: (log (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) 7.901 * * [simplify]: iteration 0: 9 enodes 7.902 * * [simplify]: iteration 1: 14 enodes 7.902 * * [simplify]: iteration complete: 14 enodes 7.902 * * [simplify]: Extracting #0: cost 1 inf + 0 7.902 * * [simplify]: Extracting #1: cost 2 inf + 0 7.902 * * [simplify]: Extracting #2: cost 4 inf + 0 7.903 * * [simplify]: Extracting #3: cost 5 inf + 1 7.903 * * [simplify]: Extracting #4: cost 7 inf + 1 7.903 * * [simplify]: Extracting #5: cost 8 inf + 1 7.903 * * [simplify]: Extracting #6: cost 0 inf + 1006 7.903 * [simplify]: Simplified to: (log (+ x (* (sqrt (+ 1 x)) (sqrt (- x 1))))) 11.509 * [regime-testing]: Baseline error score: 0.08781582921841631 11.513 * [regime-testing]: Oracle error score: 0.08781582921841631 11.514 * [regime-testing]: End program error score: 0.08781582921841631