1.032 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.142 * * * [progress]: [2/2] Setting up program. 0.183 * [progress]: [Phase 2 of 3] Improving. 0.184 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.186 * [simplify]: Simplifying: (* (sqrt (- x 1)) (sqrt x)) 0.187 * * [simplify]: iteration 1: (6 enodes) 0.195 * * [simplify]: iteration 2: (10 enodes) 0.196 * * [simplify]: iteration 3: (11 enodes) 0.198 * * [simplify]: Extracting #0: cost 1 inf + 0 0.198 * * [simplify]: Extracting #1: cost 3 inf + 0 0.198 * * [simplify]: Extracting #2: cost 5 inf + 0 0.198 * * [simplify]: Extracting #3: cost 6 inf + 1 0.198 * * [simplify]: Extracting #4: cost 0 inf + 330 0.199 * [simplify]: Simplified to: (* (sqrt (- x 1)) (sqrt x)) 0.203 * * [progress]: iteration 1 / 4 0.203 * * * [progress]: picking best candidate 0.205 * * * * [pick]: Picked # 0.205 * * * [progress]: localizing error 0.218 * * * [progress]: generating rewritten candidates 0.218 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.240 * * * [progress]: generating series expansions 0.240 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.243 * [backup-simplify]: Simplify (* (sqrt (- x 1)) (sqrt x)) into (sqrt (* x (- x 1))) 0.244 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1))) in (x) around 0 0.244 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 0.244 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [taylor]: Taking taylor expansion of (- x 1) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [taylor]: Taking taylor expansion of 1 in x 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (- 1) into -1 0.246 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.246 * [backup-simplify]: Simplify (* 0 -1) into 0 0.246 * [backup-simplify]: Simplify (- 0) into 0 0.247 * [backup-simplify]: Simplify (+ 1 0) into 1 0.247 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 0.247 * [backup-simplify]: Simplify (sqrt 0) into 0 0.248 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.248 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 0.248 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [taylor]: Taking taylor expansion of (- x 1) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [taylor]: Taking taylor expansion of 1 in x 0.248 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (- 1) into -1 0.249 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.249 * [backup-simplify]: Simplify (* 0 -1) into 0 0.249 * [backup-simplify]: Simplify (- 0) into 0 0.250 * [backup-simplify]: Simplify (+ 1 0) into 1 0.250 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 0.250 * [backup-simplify]: Simplify (sqrt 0) into 0 0.251 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 0.255 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.256 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 0.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.269 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.270 * [backup-simplify]: Simplify (+ (* +nan.0 (pow x 3)) (+ (* +nan.0 (pow x 2)) (* +nan.0 x))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) 0.270 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1) x)) 0.270 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in (x) around 0 0.270 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 0.270 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 0.270 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (/ 1 1) into 1 0.271 * [taylor]: Taking taylor expansion of 1 in x 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (+ 1 0) into 1 0.271 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [backup-simplify]: Simplify (sqrt 1) into 1 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (- 1) into -1 0.273 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.274 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 0.274 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 0.274 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 0.274 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 0.274 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.274 * [taylor]: Taking taylor expansion of 1 in x 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (+ 1 0) into 1 0.275 * [backup-simplify]: Simplify (/ 1 1) into 1 0.275 * [backup-simplify]: Simplify (sqrt 1) into 1 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (- 1) into -1 0.276 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.277 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 0.277 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify -1/2 into -1/2 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (- 0) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 0.280 * [backup-simplify]: Simplify -1/8 into -1/8 0.280 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 0.280 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) 0.280 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in (x) around 0 0.280 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x 0.280 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 0.280 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (/ 1 1) into 1 0.280 * [taylor]: Taking taylor expansion of 1 in x 0.280 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (+ 1 0) into 1 0.281 * [backup-simplify]: Simplify (- 1) into -1 0.281 * [backup-simplify]: Simplify (sqrt 0) into 0 0.281 * [backup-simplify]: Simplify (- 1) into -1 0.282 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.282 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.282 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.282 * [taylor]: Taking taylor expansion of -1 in x 0.283 * [backup-simplify]: Simplify -1 into -1 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (/ -1 1) into -1 0.283 * [backup-simplify]: Simplify (sqrt 0) into 0 0.284 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.284 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x 0.284 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 0.284 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (/ 1 1) into 1 0.285 * [taylor]: Taking taylor expansion of 1 in x 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (+ 1 0) into 1 0.285 * [backup-simplify]: Simplify (- 1) into -1 0.285 * [backup-simplify]: Simplify (sqrt 0) into 0 0.286 * [backup-simplify]: Simplify (- 1) into -1 0.286 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.286 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.286 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.286 * [taylor]: Taking taylor expansion of -1 in x 0.286 * [backup-simplify]: Simplify -1 into -1 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (/ -1 1) into -1 0.287 * [backup-simplify]: Simplify (sqrt 0) into 0 0.288 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.288 * [backup-simplify]: Simplify (* 0 0) into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (+ 0 1) into 1 0.292 * [backup-simplify]: Simplify (- 1) into -1 0.294 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.295 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 0.295 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [backup-simplify]: Simplify (- 0) into 0 0.302 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.304 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 0.304 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify (- 0) into 0 0.312 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.315 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 0.315 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.316 * [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))))) 0.316 * * * [progress]: simplifying candidates 0.316 * * * * [progress]: [ 1 / 42 ] simplifiying candidate # 0.316 * * * * [progress]: [ 2 / 42 ] simplifiying candidate # 0.316 * * * * [progress]: [ 3 / 42 ] simplifiying candidate # 0.316 * * * * [progress]: [ 4 / 42 ] simplifiying candidate # 0.316 * * * * [progress]: [ 5 / 42 ] simplifiying candidate # 0.316 * * * * [progress]: [ 6 / 42 ] simplifiying candidate # 0.316 * * * * [progress]: [ 7 / 42 ] simplifiying candidate # 0.316 * * * * [progress]: [ 8 / 42 ] simplifiying candidate # 0.316 * * * * [progress]: [ 9 / 42 ] simplifiying candidate # 0.316 * * * * [progress]: [ 10 / 42 ] simplifiying candidate # 0.316 * * * * [progress]: [ 11 / 42 ] simplifiying candidate # 0.316 * * * * [progress]: [ 12 / 42 ] simplifiying candidate # 0.317 * * * * [progress]: [ 13 / 42 ] simplifiying candidate # 0.317 * * * * [progress]: [ 14 / 42 ] simplifiying candidate # 0.317 * * * * [progress]: [ 15 / 42 ] simplifiying candidate # 0.317 * * * * [progress]: [ 16 / 42 ] simplifiying candidate # 0.317 * * * * [progress]: [ 17 / 42 ] simplifiying candidate # 0.317 * * * * [progress]: [ 18 / 42 ] simplifiying candidate # 0.317 * * * * [progress]: [ 19 / 42 ] simplifiying candidate # 0.317 * * * * [progress]: [ 20 / 42 ] simplifiying candidate # 0.317 * * * * [progress]: [ 21 / 42 ] simplifiying candidate # 0.317 * * * * [progress]: [ 22 / 42 ] simplifiying candidate # 0.317 * * * * [progress]: [ 23 / 42 ] simplifiying candidate # 0.317 * * * * [progress]: [ 24 / 42 ] simplifiying candidate # 0.317 * * * * [progress]: [ 25 / 42 ] simplifiying candidate # 0.317 * * * * [progress]: [ 26 / 42 ] simplifiying candidate # 0.317 * * * * [progress]: [ 27 / 42 ] simplifiying candidate # 0.317 * * * * [progress]: [ 28 / 42 ] simplifiying candidate # 0.317 * * * * [progress]: [ 29 / 42 ] simplifiying candidate # 0.317 * * * * [progress]: [ 30 / 42 ] simplifiying candidate # 0.317 * * * * [progress]: [ 31 / 42 ] simplifiying candidate # 0.317 * * * * [progress]: [ 32 / 42 ] simplifiying candidate # 0.317 * * * * [progress]: [ 33 / 42 ] simplifiying candidate # 0.317 * * * * [progress]: [ 34 / 42 ] simplifiying candidate # 0.317 * * * * [progress]: [ 35 / 42 ] simplifiying candidate # 0.317 * * * * [progress]: [ 36 / 42 ] simplifiying candidate # 0.317 * * * * [progress]: [ 37 / 42 ] simplifiying candidate # 0.317 * * * * [progress]: [ 38 / 42 ] simplifiying candidate #real (real->posit16 (* (sqrt (- x 1)) (sqrt x)))))> 0.318 * * * * [progress]: [ 39 / 42 ] simplifiying candidate # 0.318 * * * * [progress]: [ 40 / 42 ] simplifiying candidate # 0.318 * * * * [progress]: [ 41 / 42 ] simplifiying candidate # 0.318 * * * * [progress]: [ 42 / 42 ] simplifiying candidate # 0.318 * [simplify]: Simplifying: (expm1 (* (sqrt (- x 1)) (sqrt x))) (log1p (* (sqrt (- x 1)) (sqrt x))) (* (- x 1) x) (* (sqrt (- x 1)) (sqrt x)) (* (- x 1) x) (+ (log (sqrt (- x 1))) (log (sqrt x))) (log (* (sqrt (- x 1)) (sqrt x))) (exp (* (sqrt (- x 1)) (sqrt x))) (* (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1))) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (cbrt (* (sqrt (- x 1)) (sqrt x))) (cbrt (* (sqrt (- x 1)) (sqrt x)))) (cbrt (* (sqrt (- x 1)) (sqrt x))) (* (* (* (sqrt (- x 1)) (sqrt x)) (* (sqrt (- x 1)) (sqrt x))) (* (sqrt (- x 1)) (sqrt x))) (* (- x 1) x) (sqrt (* (sqrt (- x 1)) (sqrt x))) (sqrt (* (sqrt (- x 1)) (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (- x 1)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (sqrt (- x 1)) (sqrt (* (cbrt x) (cbrt x)))) (* (sqrt (- x 1)) (sqrt (sqrt x))) (* (sqrt (- x 1)) (sqrt 1)) (* (sqrt (- x 1)) (sqrt (sqrt x))) (* (sqrt (- x 1)) 1) (* (cbrt (sqrt (- x 1))) (sqrt x)) (* (sqrt (cbrt (- x 1))) (sqrt x)) (* (sqrt (sqrt (- x 1))) (sqrt x)) (* (sqrt (- x 1)) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1))) (sqrt x)) (* (sqrt (- (sqrt x) 1)) (sqrt x)) (* (sqrt (- (sqrt x) 1)) (sqrt x)) (* (sqrt (- x 1)) (sqrt x)) (* (sqrt (sqrt (- x 1))) (sqrt x)) (* (sqrt (- x 1)) (sqrt x)) (* (sqrt (- (pow x 3) (pow 1 3))) (sqrt x)) (* (sqrt (- (* x x) (* 1 1))) (sqrt x)) (real->posit16 (* (sqrt (- x 1)) (sqrt x))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) (- x (+ (* 1/8 (/ 1 x)) 1/2)) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.319 * * [simplify]: iteration 1: (87 enodes) 0.343 * * [simplify]: iteration 2: (192 enodes) 0.398 * * [simplify]: iteration 3: (413 enodes) 0.541 * * [simplify]: iteration 4: (969 enodes) 1.922 * * [simplify]: Extracting #0: cost 25 inf + 0 1.923 * * [simplify]: Extracting #1: cost 149 inf + 0 1.926 * * [simplify]: Extracting #2: cost 354 inf + 1158 1.939 * * [simplify]: Extracting #3: cost 221 inf + 22476 1.966 * * [simplify]: Extracting #4: cost 62 inf + 50207 1.994 * * [simplify]: Extracting #5: cost 15 inf + 66250 2.026 * * [simplify]: Extracting #6: cost 0 inf + 71428 2.059 * [simplify]: Simplified to: (expm1 (* (sqrt x) (sqrt (- x 1)))) (log1p (* (sqrt x) (sqrt (- x 1)))) (* x (- x 1)) (* (sqrt x) (sqrt (- x 1))) (* x (- x 1)) (log (* (sqrt x) (sqrt (- x 1)))) (log (* (sqrt x) (sqrt (- x 1)))) (exp (* (sqrt x) (sqrt (- x 1)))) (* (* (- x 1) (sqrt (- x 1))) (* x (sqrt x))) (* (cbrt (* (sqrt x) (sqrt (- x 1)))) (cbrt (* (sqrt x) (sqrt (- x 1))))) (cbrt (* (sqrt x) (sqrt (- x 1)))) (* (* (- x 1) (sqrt (- x 1))) (* x (sqrt x))) (* x (- x 1)) (sqrt (* (sqrt x) (sqrt (- x 1)))) (sqrt (* (sqrt x) (sqrt (- x 1)))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1))) (sqrt (sqrt x))) (* (sqrt (- x 1)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (fabs (cbrt x)) (sqrt (- x 1))) (* (sqrt (sqrt x)) (sqrt (- x 1))) (sqrt (- x 1)) (* (sqrt (sqrt x)) (sqrt (- x 1))) (sqrt (- x 1)) (* (cbrt (sqrt (- x 1))) (sqrt x)) (* (sqrt x) (sqrt (cbrt (- x 1)))) (* (sqrt x) (sqrt (sqrt (- x 1)))) (* (sqrt x) (sqrt (- x 1))) (* (sqrt x) (sqrt (+ -1 (sqrt x)))) (* (sqrt x) (sqrt (+ -1 (sqrt x)))) (* (sqrt x) (sqrt (+ -1 (sqrt x)))) (* (sqrt x) (sqrt (- x 1))) (* (sqrt x) (sqrt (sqrt (- x 1)))) (* (sqrt x) (sqrt (- x 1))) (* (sqrt (fma (* x x) x -1)) (sqrt x)) (* (sqrt x) (sqrt (fma x x -1))) (real->posit16 (* (sqrt x) (sqrt (- x 1)))) (- (* (* x +nan.0) (- (* x x) x)) (* x +nan.0)) (+ (+ -1/2 x) (/ -1/8 x)) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) 2.062 * * * [progress]: adding candidates to table 2.323 * * [progress]: iteration 2 / 4 2.323 * * * [progress]: picking best candidate 2.330 * * * * [pick]: Picked # 2.330 * * * [progress]: localizing error 2.344 * * * [progress]: generating rewritten candidates 2.344 * * * [progress]: generating series expansions 2.344 * * * [progress]: simplifying candidates 2.344 * [simplify]: Simplifying: 2.344 * * [simplify]: iteration 1: (0 enodes) 2.344 * * [simplify]: Extracting #0: cost 0 inf + 0 2.344 * [simplify]: Simplified to: 2.344 * * * [progress]: adding candidates to table 2.345 * * [progress]: iteration 3 / 4 2.345 * * * [progress]: picking best candidate 2.346 * * * * [pick]: Picked # 2.346 * * * [progress]: localizing error 2.354 * * * [progress]: generating rewritten candidates 2.354 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.362 * * * [progress]: generating series expansions 2.362 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.362 * [backup-simplify]: Simplify (sqrt (* (- x 1) x)) into (sqrt (* x (- x 1))) 2.362 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1))) in (x) around 0 2.362 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 2.362 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 2.362 * [taylor]: Taking taylor expansion of x in x 2.362 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify 1 into 1 2.362 * [taylor]: Taking taylor expansion of (- x 1) in x 2.362 * [taylor]: Taking taylor expansion of x in x 2.362 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify 1 into 1 2.363 * [taylor]: Taking taylor expansion of 1 in x 2.363 * [backup-simplify]: Simplify 1 into 1 2.363 * [backup-simplify]: Simplify (- 1) into -1 2.363 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.364 * [backup-simplify]: Simplify (* 0 -1) into 0 2.364 * [backup-simplify]: Simplify (- 0) into 0 2.364 * [backup-simplify]: Simplify (+ 1 0) into 1 2.364 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.365 * [backup-simplify]: Simplify (sqrt 0) into 0 2.366 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.366 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 2.366 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 2.366 * [taylor]: Taking taylor expansion of x in x 2.366 * [backup-simplify]: Simplify 0 into 0 2.366 * [backup-simplify]: Simplify 1 into 1 2.366 * [taylor]: Taking taylor expansion of (- x 1) in x 2.366 * [taylor]: Taking taylor expansion of x in x 2.366 * [backup-simplify]: Simplify 0 into 0 2.366 * [backup-simplify]: Simplify 1 into 1 2.366 * [taylor]: Taking taylor expansion of 1 in x 2.366 * [backup-simplify]: Simplify 1 into 1 2.366 * [backup-simplify]: Simplify (- 1) into -1 2.366 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.367 * [backup-simplify]: Simplify (* 0 -1) into 0 2.367 * [backup-simplify]: Simplify (- 0) into 0 2.367 * [backup-simplify]: Simplify (+ 1 0) into 1 2.367 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.368 * [backup-simplify]: Simplify (sqrt 0) into 0 2.369 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.369 * [backup-simplify]: Simplify 0 into 0 2.369 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.369 * [backup-simplify]: Simplify (- 0) into 0 2.369 * [backup-simplify]: Simplify (+ 0 0) into 0 2.370 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 2.373 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.373 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.374 * [backup-simplify]: Simplify (- 0) into 0 2.374 * [backup-simplify]: Simplify (+ 0 0) into 0 2.375 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 2.379 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.379 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.379 * [backup-simplify]: Simplify (+ (* +nan.0 (pow x 3)) (+ (* +nan.0 (pow x 2)) (* +nan.0 x))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) 2.379 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 x) 1) (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1) x)) 2.379 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in (x) around 0 2.379 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 2.379 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 2.380 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 2.380 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.380 * [taylor]: Taking taylor expansion of x in x 2.380 * [backup-simplify]: Simplify 0 into 0 2.380 * [backup-simplify]: Simplify 1 into 1 2.380 * [backup-simplify]: Simplify (/ 1 1) into 1 2.380 * [taylor]: Taking taylor expansion of 1 in x 2.380 * [backup-simplify]: Simplify 1 into 1 2.380 * [taylor]: Taking taylor expansion of x in x 2.380 * [backup-simplify]: Simplify 0 into 0 2.380 * [backup-simplify]: Simplify 1 into 1 2.381 * [backup-simplify]: Simplify (+ 1 0) into 1 2.381 * [backup-simplify]: Simplify (/ 1 1) into 1 2.381 * [backup-simplify]: Simplify (sqrt 1) into 1 2.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.382 * [backup-simplify]: Simplify (- 1) into -1 2.383 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.384 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 2.384 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 2.384 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 2.384 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 2.384 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 2.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.384 * [taylor]: Taking taylor expansion of x in x 2.384 * [backup-simplify]: Simplify 0 into 0 2.384 * [backup-simplify]: Simplify 1 into 1 2.385 * [backup-simplify]: Simplify (/ 1 1) into 1 2.385 * [taylor]: Taking taylor expansion of 1 in x 2.385 * [backup-simplify]: Simplify 1 into 1 2.385 * [taylor]: Taking taylor expansion of x in x 2.385 * [backup-simplify]: Simplify 0 into 0 2.385 * [backup-simplify]: Simplify 1 into 1 2.385 * [backup-simplify]: Simplify (+ 1 0) into 1 2.386 * [backup-simplify]: Simplify (/ 1 1) into 1 2.386 * [backup-simplify]: Simplify (sqrt 1) into 1 2.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.387 * [backup-simplify]: Simplify (- 1) into -1 2.388 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.388 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 2.389 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 2.389 * [backup-simplify]: Simplify 1 into 1 2.389 * [backup-simplify]: Simplify -1/2 into -1/2 2.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.391 * [backup-simplify]: Simplify (- 0) into 0 2.391 * [backup-simplify]: Simplify (+ 0 0) into 0 2.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)))) into 0 2.393 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 2.393 * [backup-simplify]: Simplify -1/8 into -1/8 2.393 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 2.393 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 (- x)) 1) (/ 1 (- x)))) into (sqrt (/ (+ (/ 1 x) 1) x)) 2.393 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) x)) in (x) around 0 2.393 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) x)) in x 2.393 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x 2.393 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 2.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.393 * [taylor]: Taking taylor expansion of x in x 2.394 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify 1 into 1 2.394 * [backup-simplify]: Simplify (/ 1 1) into 1 2.394 * [taylor]: Taking taylor expansion of 1 in x 2.394 * [backup-simplify]: Simplify 1 into 1 2.394 * [taylor]: Taking taylor expansion of x in x 2.394 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify 1 into 1 2.395 * [backup-simplify]: Simplify (+ 1 0) into 1 2.395 * [backup-simplify]: Simplify (/ 1 1) into 1 2.395 * [backup-simplify]: Simplify (sqrt 1) into 1 2.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.396 * [backup-simplify]: Simplify (+ 0 1) into 1 2.397 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.398 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 2.398 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) x)) in x 2.398 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x 2.398 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 2.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.398 * [taylor]: Taking taylor expansion of x in x 2.398 * [backup-simplify]: Simplify 0 into 0 2.398 * [backup-simplify]: Simplify 1 into 1 2.399 * [backup-simplify]: Simplify (/ 1 1) into 1 2.399 * [taylor]: Taking taylor expansion of 1 in x 2.399 * [backup-simplify]: Simplify 1 into 1 2.399 * [taylor]: Taking taylor expansion of x in x 2.399 * [backup-simplify]: Simplify 0 into 0 2.399 * [backup-simplify]: Simplify 1 into 1 2.399 * [backup-simplify]: Simplify (+ 1 0) into 1 2.399 * [backup-simplify]: Simplify (/ 1 1) into 1 2.400 * [backup-simplify]: Simplify (sqrt 1) into 1 2.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.401 * [backup-simplify]: Simplify (+ 0 1) into 1 2.402 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.403 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 2.403 * [backup-simplify]: Simplify 1 into 1 2.403 * [backup-simplify]: Simplify 1/2 into 1/2 2.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.404 * [backup-simplify]: Simplify (+ 0 0) into 0 2.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.406 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 2.406 * [backup-simplify]: Simplify -1/8 into -1/8 2.407 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 (- x))) (+ 1/2 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 1/8 (/ 1 x)) 1/2) x) 2.407 * * * [progress]: simplifying candidates 2.407 * * * * [progress]: [ 1 / 19 ] simplifiying candidate # 2.407 * * * * [progress]: [ 2 / 19 ] simplifiying candidate # 2.407 * * * * [progress]: [ 3 / 19 ] simplifiying candidate # 2.407 * * * * [progress]: [ 4 / 19 ] simplifiying candidate # 2.407 * * * * [progress]: [ 5 / 19 ] simplifiying candidate # 2.407 * * * * [progress]: [ 6 / 19 ] simplifiying candidate # 2.407 * * * * [progress]: [ 7 / 19 ] simplifiying candidate # 2.407 * * * * [progress]: [ 8 / 19 ] simplifiying candidate # 2.407 * * * * [progress]: [ 9 / 19 ] simplifiying candidate # 2.407 * * * * [progress]: [ 10 / 19 ] simplifiying candidate # 2.407 * * * * [progress]: [ 11 / 19 ] simplifiying candidate # 2.408 * * * * [progress]: [ 12 / 19 ] simplifiying candidate # 2.408 * * * * [progress]: [ 13 / 19 ] simplifiying candidate # 2.408 * * * * [progress]: [ 14 / 19 ] simplifiying candidate # 2.408 * * * * [progress]: [ 15 / 19 ] simplifiying candidate # 2.408 * * * * [progress]: [ 16 / 19 ] simplifiying candidate #real (real->posit16 (sqrt (* (- x 1) x)))))> 2.408 * * * * [progress]: [ 17 / 19 ] simplifiying candidate # 2.408 * * * * [progress]: [ 18 / 19 ] simplifiying candidate # 2.408 * * * * [progress]: [ 19 / 19 ] simplifiying candidate # 2.408 * [simplify]: Simplifying: (expm1 (sqrt (* (- x 1) x))) (log1p (sqrt (* (- x 1) x))) (log (sqrt (* (- x 1) x))) (exp (sqrt (* (- x 1) x))) (* (cbrt (sqrt (* (- x 1) x))) (cbrt (sqrt (* (- x 1) x)))) (cbrt (sqrt (* (- x 1) x))) (* (* (sqrt (* (- x 1) x)) (sqrt (* (- x 1) x))) (sqrt (* (- x 1) x))) (sqrt (- x 1)) (sqrt x) (sqrt (* (- (pow x 3) (pow 1 3)) x)) (sqrt (+ (* x x) (+ (* 1 1) (* x 1)))) (sqrt (* (- (* x x) (* 1 1)) x)) (sqrt (+ x 1)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (- x 1) x))) (sqrt (sqrt (* (- x 1) x))) (real->posit16 (sqrt (* (- x 1) x))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) (- x (+ (* 1/8 (/ 1 x)) 1/2)) (- (+ (* 1/8 (/ 1 x)) 1/2) x) 2.409 * * [simplify]: iteration 1: (53 enodes) 2.438 * * [simplify]: iteration 2: (113 enodes) 2.472 * * [simplify]: iteration 3: (250 enodes) 2.557 * * [simplify]: iteration 4: (629 enodes) 3.377 * * [simplify]: iteration 5: (1606 enodes) 8.851 * * [simplify]: Extracting #0: cost 19 inf + 0 8.852 * * [simplify]: Extracting #1: cost 145 inf + 1 8.860 * * [simplify]: Extracting #2: cost 381 inf + 723 8.871 * * [simplify]: Extracting #3: cost 285 inf + 18760 8.889 * * [simplify]: Extracting #4: cost 149 inf + 54207 8.913 * * [simplify]: Extracting #5: cost 7 inf + 119360 8.941 * * [simplify]: Extracting #6: cost 0 inf + 122183 8.966 * * [simplify]: Extracting #7: cost 0 inf + 122107 8.992 * [simplify]: Simplified to: (expm1 (sqrt (- (* x x) x))) (log1p (sqrt (- (* x x) x))) (log (sqrt (- (* x x) x))) (exp (sqrt (- (* x x) x))) (* (cbrt (sqrt (- (* x x) x))) (cbrt (sqrt (- (* x x) x)))) (cbrt (sqrt (- (* x x) x))) (* (- (* x x) x) (sqrt (- (* x x) x))) (sqrt (+ x -1)) (sqrt x) (sqrt (- (* (* x x) (* x x)) x)) (sqrt (+ (fma x x x) 1)) (sqrt (* (fma x x -1) x)) (sqrt (+ 1 x)) 1/2 1/2 (sqrt (sqrt (- (* x x) x))) (sqrt (sqrt (- (* x x) x))) (real->posit16 (sqrt (- (* x x) x))) (* x (- (* (- (* x x) x) +nan.0) +nan.0)) (- x (- (/ 1/8 x) -1/2)) (+ (- 1/2 x) (/ 1/8 x)) 8.993 * * * [progress]: adding candidates to table 9.119 * [progress]: [Phase 3 of 3] Extracting. 9.120 * * [regime]: Finding splitpoints for: (# #) 9.121 * * * [regime-changes]: Trying 1 branch expressions: (x) 9.121 * * * * [regimes]: Trying to branch on x from (# #) 9.154 * * * [regime]: Found split indices: #