24.650 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.186 * * * [progress]: [2/2] Setting up program. 0.192 * [progress]: [Phase 2 of 3] Improving. 0.192 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.192 * [simplify]: Simplifying: (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) 0.193 * * [simplify]: iteration 0: 9 enodes 0.196 * * [simplify]: iteration 1: 14 enodes 0.200 * * [simplify]: iteration 2: 18 enodes 0.206 * * [simplify]: iteration 3: 20 enodes 0.211 * * [simplify]: iteration complete: 20 enodes 0.211 * * [simplify]: Extracting #0: cost 1 inf + 0 0.211 * * [simplify]: Extracting #1: cost 2 inf + 0 0.211 * * [simplify]: Extracting #2: cost 4 inf + 0 0.211 * * [simplify]: Extracting #3: cost 7 inf + 0 0.211 * * [simplify]: Extracting #4: cost 6 inf + 2 0.212 * * [simplify]: Extracting #5: cost 8 inf + 44 0.212 * * [simplify]: Extracting #6: cost 0 inf + 1127 0.212 * [simplify]: Simplified to: (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) 0.212 * * [progress]: iteration 1 / 4 0.212 * * * [progress]: picking best candidate 0.215 * * * * [pick]: Picked # 0.215 * * * [progress]: localizing error 0.233 * * * [progress]: generating rewritten candidates 0.233 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2 1) 0.240 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 0.252 * * * [progress]: generating series expansions 0.252 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2 1) 0.252 * [backup-simplify]: Simplify (sqrt (- 1 (* x x))) into (sqrt (- 1 (pow x 2))) 0.252 * [approximate]: Taking taylor expansion of (sqrt (- 1 (pow x 2))) in (x) around 0 0.252 * [taylor]: Taking taylor expansion of (sqrt (- 1 (pow x 2))) in x 0.252 * [taylor]: Taking taylor expansion of (- 1 (pow x 2)) in x 0.252 * [taylor]: Taking taylor expansion of 1 in x 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (+ 1 0) into 1 0.253 * [backup-simplify]: Simplify (sqrt 1) into 1 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.254 * [taylor]: Taking taylor expansion of (sqrt (- 1 (pow x 2))) in x 0.254 * [taylor]: Taking taylor expansion of (- 1 (pow x 2)) in x 0.254 * [taylor]: Taking taylor expansion of 1 in x 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (+ 1 0) into 1 0.254 * [backup-simplify]: Simplify (sqrt 1) into 1 0.255 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify (* 1 1) into 1 0.256 * [backup-simplify]: Simplify (- 1) into -1 0.256 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.257 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 0.257 * [backup-simplify]: Simplify -1/2 into -1/2 0.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.257 * [backup-simplify]: Simplify (- 0) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.267 * [backup-simplify]: Simplify (- 0) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.269 * [backup-simplify]: Simplify -1/8 into -1/8 0.269 * [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)))) 0.269 * [backup-simplify]: Simplify (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1 (/ 1 (pow x 2)))) 0.269 * [approximate]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in (x) around 0 0.269 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 0.269 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 0.269 * [taylor]: Taking taylor expansion of 1 in x 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.269 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (* 1 1) into 1 0.270 * [backup-simplify]: Simplify (/ 1 1) into 1 0.270 * [backup-simplify]: Simplify (- 1) into -1 0.270 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.271 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (- 0) into 0 0.272 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.272 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 0.272 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 0.272 * [taylor]: Taking taylor expansion of 1 in x 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (* 1 1) into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [backup-simplify]: Simplify (- 1) into -1 0.274 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.274 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (- 0) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.276 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.276 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (- 0) into 0 0.278 * [backup-simplify]: Simplify (+ 1 0) into 1 0.280 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 0.280 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (- 0) into 0 0.282 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (- 0) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 0.287 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) 0.289 * [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)))) 0.289 * [backup-simplify]: Simplify (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1 (/ 1 (pow x 2)))) 0.289 * [approximate]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in (x) around 0 0.289 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 0.289 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 0.289 * [taylor]: Taking taylor expansion of 1 in x 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (* 1 1) into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [backup-simplify]: Simplify (- 1) into -1 0.290 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.290 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (- 0) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.292 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 0.292 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 0.292 * [taylor]: Taking taylor expansion of 1 in x 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.292 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (* 1 1) into 1 0.293 * [backup-simplify]: Simplify (/ 1 1) into 1 0.293 * [backup-simplify]: Simplify (- 1) into -1 0.293 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.294 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (- 0) into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.296 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (- 0) into 0 0.297 * [backup-simplify]: Simplify (+ 1 0) into 1 0.299 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 0.299 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 0.306 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 0.307 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) 0.308 * [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))))) 0.308 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 0.308 * [backup-simplify]: Simplify (/ (sqrt (- 1 (* x x))) x) into (* (/ 1 x) (sqrt (- 1 (pow x 2)))) 0.308 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1 (pow x 2)))) in (x) around 0 0.308 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1 (pow x 2)))) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [taylor]: Taking taylor expansion of (sqrt (- 1 (pow x 2))) in x 0.309 * [taylor]: Taking taylor expansion of (- 1 (pow x 2)) in x 0.309 * [taylor]: Taking taylor expansion of 1 in x 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (+ 1 0) into 1 0.309 * [backup-simplify]: Simplify (sqrt 1) into 1 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.310 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1 (pow x 2)))) in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [taylor]: Taking taylor expansion of (sqrt (- 1 (pow x 2))) in x 0.310 * [taylor]: Taking taylor expansion of (- 1 (pow x 2)) in x 0.310 * [taylor]: Taking taylor expansion of 1 in x 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (+ 1 0) into 1 0.311 * [backup-simplify]: Simplify (sqrt 1) into 1 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.312 * [backup-simplify]: Simplify (* 1 1) into 1 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (* 1 1) into 1 0.313 * [backup-simplify]: Simplify (- 1) into -1 0.313 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.314 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* 0 1))) into -1/2 0.315 * [backup-simplify]: Simplify -1/2 into -1/2 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.316 * [backup-simplify]: Simplify (- 0) into 0 0.316 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into -1/8 0.321 * [backup-simplify]: Simplify -1/8 into -1/8 0.321 * [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)))) 0.322 * [backup-simplify]: Simplify (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) into (* x (sqrt (- 1 (/ 1 (pow x 2))))) 0.322 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1 (/ 1 (pow x 2))))) in (x) around 0 0.322 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1 (/ 1 (pow x 2))))) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 0.322 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 0.322 * [taylor]: Taking taylor expansion of 1 in x 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.322 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (* 1 1) into 1 0.322 * [backup-simplify]: Simplify (/ 1 1) into 1 0.322 * [backup-simplify]: Simplify (- 1) into -1 0.323 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.323 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (- 0) into 0 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 (* x (sqrt (- 1 (/ 1 (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 0.325 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 0.325 * [taylor]: Taking taylor expansion of (- 1 (/ 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 (/ 1 (pow x 2)) in x 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 0.325 * [backup-simplify]: Simplify (* 1 1) into 1 0.326 * [backup-simplify]: Simplify (/ 1 1) into 1 0.326 * [backup-simplify]: Simplify (- 1) into -1 0.326 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.326 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (- 0) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.329 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.330 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (- 0) into 0 0.332 * [backup-simplify]: Simplify (+ 1 0) into 1 0.334 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 0.334 * [backup-simplify]: Simplify (+ (* 0 (/ 1/2 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.340 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1/2 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 1/2 (/ 1 (sqrt -1))) 0.341 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (- 0) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.347 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 0.349 * [backup-simplify]: Simplify (+ (* 0 (/ 1/8 (sqrt -1))) (+ (* 1 0) (+ (* 0 (/ 1/2 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (- 0) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (sqrt -1)))) (* 2 (* (/ 1/2 (sqrt -1)) 0)))) (* 2 (sqrt -1))) into 0 0.369 * [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))) 0.371 * [backup-simplify]: Simplify (* 1/8 (/ 1 (sqrt -1))) into (/ 1/8 (sqrt -1)) 0.374 * [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)))))) 0.374 * [backup-simplify]: Simplify (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) into (* -1 (* x (sqrt (- 1 (/ 1 (pow x 2)))))) 0.374 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1 (/ 1 (pow x 2)))))) in (x) around 0 0.374 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1 (/ 1 (pow x 2)))))) in x 0.374 * [taylor]: Taking taylor expansion of -1 in x 0.374 * [backup-simplify]: Simplify -1 into -1 0.374 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1 (/ 1 (pow x 2))))) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 1 into 1 0.374 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 0.374 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 0.374 * [taylor]: Taking taylor expansion of 1 in x 0.374 * [backup-simplify]: Simplify 1 into 1 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 1 into 1 0.375 * [backup-simplify]: Simplify (* 1 1) into 1 0.375 * [backup-simplify]: Simplify (/ 1 1) into 1 0.376 * [backup-simplify]: Simplify (- 1) into -1 0.376 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.376 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.378 * [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 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1 (/ 1 (pow x 2)))))) in x 0.380 * [taylor]: Taking taylor expansion of -1 in x 0.380 * [backup-simplify]: Simplify -1 into -1 0.380 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1 (/ 1 (pow x 2))))) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 0.380 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 0.380 * [taylor]: Taking taylor expansion of 1 in x 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (* 1 1) into 1 0.381 * [backup-simplify]: Simplify (/ 1 1) into 1 0.381 * [backup-simplify]: Simplify (- 1) into -1 0.382 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.382 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (- 0) into 0 0.384 * [backup-simplify]: Simplify (+ 0 0) into 0 0.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.385 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.385 * [backup-simplify]: Simplify (* -1 0) into 0 0.385 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.388 * [backup-simplify]: Simplify (+ (* -1 (sqrt -1)) (* 0 0)) into (- (sqrt -1)) 0.388 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (- 0) into 0 0.390 * [backup-simplify]: Simplify (+ 1 0) into 1 0.391 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 0.392 * [backup-simplify]: Simplify (+ (* 0 (/ 1/2 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.393 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt -1)) (* 0 0))) into 0 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (- 0) into 0 0.394 * [backup-simplify]: Simplify (+ 0 0) into 0 0.395 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.399 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1/2 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 1/2 (/ 1 (sqrt -1))) 0.402 * [backup-simplify]: Simplify (+ (* -1 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0)))) into (- (* 1/2 (/ 1 (sqrt -1)))) 0.403 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) 0.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.404 * [backup-simplify]: Simplify (- 0) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.407 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 0.408 * [backup-simplify]: Simplify (+ (* 0 (/ 1/8 (sqrt -1))) (+ (* 1 0) (+ (* 0 (/ 1/2 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 0.410 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0))))) into 0 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.411 * [backup-simplify]: Simplify (- 0) into 0 0.411 * [backup-simplify]: Simplify (+ 0 0) into 0 0.413 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (sqrt -1)))) (* 2 (* (/ 1/2 (sqrt -1)) 0)))) (* 2 (sqrt -1))) into 0 0.419 * [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))) 0.423 * [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)))) 0.424 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (sqrt -1)))) into (- (* 1/8 (/ 1 (sqrt -1)))) 0.428 * [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))))))) 0.428 * * * [progress]: simplifying candidates 0.428 * * * * [progress]: [ 1 / 78 ] simplifiying candidate # 0.428 * * * * [progress]: [ 2 / 78 ] simplifiying candidate # 0.428 * * * * [progress]: [ 3 / 78 ] simplifiying candidate # 0.428 * * * * [progress]: [ 4 / 78 ] simplifiying candidate # 0.428 * * * * [progress]: [ 5 / 78 ] simplifiying candidate # 0.428 * * * * [progress]: [ 6 / 78 ] simplifiying candidate # 0.428 * * * * [progress]: [ 7 / 78 ] simplifiying candidate # 0.428 * * * * [progress]: [ 8 / 78 ] simplifiying candidate # 0.429 * * * * [progress]: [ 9 / 78 ] simplifiying candidate # 0.429 * * * * [progress]: [ 10 / 78 ] simplifiying candidate # 0.429 * * * * [progress]: [ 11 / 78 ] simplifiying candidate # 0.429 * * * * [progress]: [ 12 / 78 ] simplifiying candidate # 0.429 * * * * [progress]: [ 13 / 78 ] simplifiying candidate # 0.429 * * * * [progress]: [ 14 / 78 ] simplifiying candidate # 0.429 * * * * [progress]: [ 15 / 78 ] simplifiying candidate # 0.429 * * * * [progress]: [ 16 / 78 ] simplifiying candidate # 0.429 * * * * [progress]: [ 17 / 78 ] simplifiying candidate # 0.429 * * * * [progress]: [ 18 / 78 ] simplifiying candidate # 0.429 * * * * [progress]: [ 19 / 78 ] simplifiying candidate # 0.429 * * * * [progress]: [ 20 / 78 ] simplifiying candidate #real (real->posit16 (sqrt (- 1 (* x x))))) x))))> 0.429 * * * * [progress]: [ 21 / 78 ] simplifiying candidate # 0.429 * * * * [progress]: [ 22 / 78 ] simplifiying candidate # 0.429 * * * * [progress]: [ 23 / 78 ] simplifiying candidate # 0.429 * * * * [progress]: [ 24 / 78 ] simplifiying candidate # 0.429 * * * * [progress]: [ 25 / 78 ] simplifiying candidate # 0.429 * * * * [progress]: [ 26 / 78 ] simplifiying candidate # 0.429 * * * * [progress]: [ 27 / 78 ] simplifiying candidate # 0.429 * * * * [progress]: [ 28 / 78 ] simplifiying candidate # 0.429 * * * * [progress]: [ 29 / 78 ] simplifiying candidate # 0.429 * * * * [progress]: [ 30 / 78 ] simplifiying candidate # 0.429 * * * * [progress]: [ 31 / 78 ] simplifiying candidate # 0.429 * * * * [progress]: [ 32 / 78 ] simplifiying candidate # 0.429 * * * * [progress]: [ 33 / 78 ] simplifiying candidate # 0.429 * * * * [progress]: [ 34 / 78 ] simplifiying candidate # 0.429 * * * * [progress]: [ 35 / 78 ] simplifiying candidate # 0.430 * * * * [progress]: [ 36 / 78 ] simplifiying candidate # 0.430 * * * * [progress]: [ 37 / 78 ] simplifiying candidate # 0.430 * * * * [progress]: [ 38 / 78 ] simplifiying candidate # 0.430 * * * * [progress]: [ 39 / 78 ] simplifiying candidate # 0.430 * * * * [progress]: [ 40 / 78 ] simplifiying candidate # 0.430 * * * * [progress]: [ 41 / 78 ] simplifiying candidate # 0.430 * * * * [progress]: [ 42 / 78 ] simplifiying candidate # 0.430 * * * * [progress]: [ 43 / 78 ] simplifiying candidate # 0.430 * * * * [progress]: [ 44 / 78 ] simplifiying candidate # 0.430 * * * * [progress]: [ 45 / 78 ] simplifiying candidate # 0.430 * * * * [progress]: [ 46 / 78 ] simplifiying candidate # 0.430 * * * * [progress]: [ 47 / 78 ] simplifiying candidate # 0.430 * * * * [progress]: [ 48 / 78 ] simplifiying candidate # 0.430 * * * * [progress]: [ 49 / 78 ] simplifiying candidate # 0.430 * * * * [progress]: [ 50 / 78 ] simplifiying candidate # 0.430 * * * * [progress]: [ 51 / 78 ] simplifiying candidate # 0.430 * * * * [progress]: [ 52 / 78 ] simplifiying candidate # 0.430 * * * * [progress]: [ 53 / 78 ] simplifiying candidate # 0.430 * * * * [progress]: [ 54 / 78 ] simplifiying candidate # 0.430 * * * * [progress]: [ 55 / 78 ] simplifiying candidate # 0.430 * * * * [progress]: [ 56 / 78 ] simplifiying candidate # 0.430 * * * * [progress]: [ 57 / 78 ] simplifiying candidate # 0.430 * * * * [progress]: [ 58 / 78 ] simplifiying candidate # 0.430 * * * * [progress]: [ 59 / 78 ] simplifiying candidate # 0.430 * * * * [progress]: [ 60 / 78 ] simplifiying candidate # 0.431 * * * * [progress]: [ 61 / 78 ] simplifiying candidate # 0.431 * * * * [progress]: [ 62 / 78 ] simplifiying candidate # 0.431 * * * * [progress]: [ 63 / 78 ] simplifiying candidate # 0.431 * * * * [progress]: [ 64 / 78 ] simplifiying candidate # 0.431 * * * * [progress]: [ 65 / 78 ] simplifiying candidate # 0.431 * * * * [progress]: [ 66 / 78 ] simplifiying candidate # 0.431 * * * * [progress]: [ 67 / 78 ] simplifiying candidate # 0.431 * * * * [progress]: [ 68 / 78 ] simplifiying candidate # 0.431 * * * * [progress]: [ 69 / 78 ] simplifiying candidate # 0.431 * * * * [progress]: [ 70 / 78 ] simplifiying candidate # 0.431 * * * * [progress]: [ 71 / 78 ] simplifiying candidate # 0.431 * * * * [progress]: [ 72 / 78 ] simplifiying candidate #real (real->posit16 (/ (sqrt (- 1 (* x x))) x))))))> 0.431 * * * * [progress]: [ 73 / 78 ] simplifiying candidate # 0.431 * * * * [progress]: [ 74 / 78 ] simplifiying candidate # 0.431 * * * * [progress]: [ 75 / 78 ] simplifiying candidate # 0.431 * * * * [progress]: [ 76 / 78 ] simplifiying candidate # 0.431 * * * * [progress]: [ 77 / 78 ] simplifiying candidate # 0.431 * * * * [progress]: [ 78 / 78 ] simplifiying candidate # 0.432 * [simplify]: Simplifying: (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)) (- 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))))))) 0.433 * * [simplify]: iteration 0: 147 enodes 0.497 * * [simplify]: iteration 1: 291 enodes 0.626 * * [simplify]: iteration 2: 730 enodes 1.113 * * [simplify]: iteration 3: 2091 enodes 1.866 * * [simplify]: iteration complete: 5001 enodes 1.866 * * [simplify]: Extracting #0: cost 70 inf + 0 1.867 * * [simplify]: Extracting #1: cost 509 inf + 2 1.872 * * [simplify]: Extracting #2: cost 1380 inf + 3394 1.889 * * [simplify]: Extracting #3: cost 996 inf + 60453 1.934 * * [simplify]: Extracting #4: cost 401 inf + 168574 1.996 * * [simplify]: Extracting #5: cost 63 inf + 268678 2.085 * * [simplify]: Extracting #6: cost 7 inf + 285147 2.174 * * [simplify]: Extracting #7: cost 0 inf + 287198 2.258 * [simplify]: Simplified to: (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)) (* (- 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)) (* (- 1 (* x x)) (/ (/ (sqrt (- 1 (* x 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)))) (/ (sqrt x) (cbrt (sqrt (- 1 (* x 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)))) (* (sqrt (+ (* x x) (fma (* x x) (* x x) 1))) x) (* (hypot x 1) x) (real->posit16 (/ (sqrt (- 1 (* x x))) x)) (- 1 (* (* x x) (+ 1/2 (* 1/8 (* x x))))) (+ (* (sqrt -1) x) (+ (/ (/ 1/8 (* x (* x x))) (sqrt -1)) (/ 1/2 (* (sqrt -1) x)))) (- (- (/ -1/2 (* x (sqrt -1))) (/ (/ 1/8 (* x (* x x))) (sqrt -1))) (* x (sqrt -1))) (- (/ 1 x) (fma (* x (* x x)) 1/8 (* x 1/2))) (fma (/ 1 (sqrt -1)) (+ (/ 1/2 (* x x)) (/ (/ 1/8 (* x x)) (* x x))) (sqrt -1)) (- (- (/ -1/8 (* (* (* x x) (* x x)) (sqrt -1))) (sqrt -1)) (/ (/ 1/2 (sqrt -1)) (* x x))) 2.263 * * * [progress]: adding candidates to table 2.675 * [progress]: [Phase 3 of 3] Extracting. 2.678 * [simplify]: Simplifying: (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) 2.678 * * [simplify]: iteration 0: 9 enodes 2.681 * * [simplify]: iteration 1: 12 enodes 2.681 * * [simplify]: iteration complete: 12 enodes 2.681 * * [simplify]: Extracting #0: cost 1 inf + 0 2.681 * * [simplify]: Extracting #1: cost 2 inf + 0 2.681 * * [simplify]: Extracting #2: cost 4 inf + 0 2.681 * * [simplify]: Extracting #3: cost 7 inf + 0 2.681 * * [simplify]: Extracting #4: cost 6 inf + 2 2.681 * * [simplify]: Extracting #5: cost 6 inf + 44 2.682 * * [simplify]: Extracting #6: cost 0 inf + 1005 2.682 * [simplify]: Simplified to: (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) 7.914 * [regime-testing]: Baseline error score: 0.02712340713243332 7.918 * [regime-testing]: Oracle error score: 0.02712340713243332 7.919 * [regime-testing]: End program error score: 0.02712340713243332