1.024 * [progress]: [Phase 1 of 3] Setting up. 0.004 * * * [progress]: [1/2] Preparing points 0.244 * * * [progress]: [2/2] Setting up program. 0.249 * [progress]: [Phase 2 of 3] Improving. 0.249 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.251 * [simplify]: Simplifying: (* (sqrt (- x 1)) (sqrt x)) 0.252 * * [simplify]: iteration 0: 6 enodes 0.258 * * [simplify]: iteration 1: 12 enodes 0.259 * * [simplify]: iteration 2: 13 enodes 0.261 * * [simplify]: iteration complete: 13 enodes 0.262 * * [simplify]: Extracting #0: cost 1 inf + 0 0.262 * * [simplify]: Extracting #1: cost 3 inf + 0 0.262 * * [simplify]: Extracting #2: cost 5 inf + 0 0.262 * * [simplify]: Extracting #3: cost 6 inf + 1 0.262 * * [simplify]: Extracting #4: cost 0 inf + 330 0.262 * [simplify]: Simplified to: (* (sqrt (- x 1)) (sqrt x)) 0.264 * * [progress]: iteration 1 / 4 0.264 * * * [progress]: picking best candidate 0.267 * * * * [pick]: Picked # 0.267 * * * [progress]: localizing error 0.281 * * * [progress]: generating rewritten candidates 0.282 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.309 * * * [progress]: generating series expansions 0.309 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.314 * [backup-simplify]: Simplify (* (sqrt (- x 1)) (sqrt x)) into (sqrt (* x (- x 1))) 0.314 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1))) in (x) around 0 0.315 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 0.315 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [taylor]: Taking taylor expansion of (- x 1) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [taylor]: Taking taylor expansion of 1 in x 0.315 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (- 1) into -1 0.317 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.317 * [backup-simplify]: Simplify (* 0 -1) into 0 0.317 * [backup-simplify]: Simplify (- 0) into 0 0.318 * [backup-simplify]: Simplify (+ 1 0) into 1 0.318 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 0.318 * [backup-simplify]: Simplify (sqrt 0) into 0 0.319 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.319 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 0.319 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [taylor]: Taking taylor expansion of (- x 1) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [taylor]: Taking taylor expansion of 1 in x 0.319 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (- 1) into -1 0.320 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.334 * [backup-simplify]: Simplify (* 0 -1) into 0 0.335 * [backup-simplify]: Simplify (- 0) into 0 0.335 * [backup-simplify]: Simplify (+ 1 0) into 1 0.335 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 0.336 * [backup-simplify]: Simplify (sqrt 0) into 0 0.337 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.338 * [backup-simplify]: Simplify (- 0) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 0.341 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.342 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.342 * [backup-simplify]: Simplify (- 0) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 0.345 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.345 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.346 * [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))))))) 0.347 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1) x)) 0.347 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in (x) around 0 0.347 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 0.347 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 0.347 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify (/ 1 1) into 1 0.347 * [taylor]: Taking taylor expansion of 1 in x 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify (+ 1 0) into 1 0.348 * [backup-simplify]: Simplify (/ 1 1) into 1 0.348 * [backup-simplify]: Simplify (sqrt 1) into 1 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (- 1) into -1 0.350 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.350 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 0.351 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 0.351 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 0.351 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 0.351 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (/ 1 1) into 1 0.351 * [taylor]: Taking taylor expansion of 1 in x 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (+ 1 0) into 1 0.352 * [backup-simplify]: Simplify (/ 1 1) into 1 0.352 * [backup-simplify]: Simplify (sqrt 1) into 1 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (- 1) into -1 0.353 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.354 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 0.354 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify -1/2 into -1/2 0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (- 0) into 0 0.355 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 0.356 * [backup-simplify]: Simplify -1/8 into -1/8 0.357 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 0.357 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) 0.357 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in (x) around 0 0.357 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x 0.357 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 0.357 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (/ 1 1) into 1 0.357 * [taylor]: Taking taylor expansion of 1 in x 0.357 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (+ 1 0) into 1 0.358 * [backup-simplify]: Simplify (- 1) into -1 0.358 * [backup-simplify]: Simplify (sqrt 0) into 0 0.358 * [backup-simplify]: Simplify (- 1) into -1 0.359 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.359 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.359 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.359 * [taylor]: Taking taylor expansion of -1 in x 0.359 * [backup-simplify]: Simplify -1 into -1 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify (/ -1 1) into -1 0.360 * [backup-simplify]: Simplify (sqrt 0) into 0 0.361 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.361 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x 0.361 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 0.361 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (/ 1 1) into 1 0.361 * [taylor]: Taking taylor expansion of 1 in x 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (+ 1 0) into 1 0.362 * [backup-simplify]: Simplify (- 1) into -1 0.362 * [backup-simplify]: Simplify (sqrt 0) into 0 0.362 * [backup-simplify]: Simplify (- 1) into -1 0.363 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.363 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.363 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.363 * [taylor]: Taking taylor expansion of -1 in x 0.363 * [backup-simplify]: Simplify -1 into -1 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (/ -1 1) into -1 0.364 * [backup-simplify]: Simplify (sqrt 0) into 0 0.364 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.365 * [backup-simplify]: Simplify (* 0 0) into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (+ 0 1) into 1 0.368 * [backup-simplify]: Simplify (- 1) into -1 0.370 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.372 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 0.372 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (+ 0 0) into 0 0.376 * [backup-simplify]: Simplify (- 0) into 0 0.380 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.384 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 0.384 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (+ 0 0) into 0 0.393 * [backup-simplify]: Simplify (- 0) into 0 0.397 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.403 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 0.403 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.405 * [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))))) 0.405 * * * [progress]: simplifying candidates 0.405 * * * * [progress]: [ 1 / 42 ] simplifiying candidate # 0.405 * * * * [progress]: [ 2 / 42 ] simplifiying candidate # 0.405 * * * * [progress]: [ 3 / 42 ] simplifiying candidate # 0.405 * * * * [progress]: [ 4 / 42 ] simplifiying candidate # 0.406 * * * * [progress]: [ 5 / 42 ] simplifiying candidate # 0.406 * * * * [progress]: [ 6 / 42 ] simplifiying candidate # 0.406 * * * * [progress]: [ 7 / 42 ] simplifiying candidate # 0.406 * * * * [progress]: [ 8 / 42 ] simplifiying candidate # 0.406 * * * * [progress]: [ 9 / 42 ] simplifiying candidate # 0.406 * * * * [progress]: [ 10 / 42 ] simplifiying candidate # 0.406 * * * * [progress]: [ 11 / 42 ] simplifiying candidate # 0.406 * * * * [progress]: [ 12 / 42 ] simplifiying candidate # 0.406 * * * * [progress]: [ 13 / 42 ] simplifiying candidate # 0.406 * * * * [progress]: [ 14 / 42 ] simplifiying candidate # 0.406 * * * * [progress]: [ 15 / 42 ] simplifiying candidate # 0.406 * * * * [progress]: [ 16 / 42 ] simplifiying candidate # 0.406 * * * * [progress]: [ 17 / 42 ] simplifiying candidate # 0.406 * * * * [progress]: [ 18 / 42 ] simplifiying candidate # 0.406 * * * * [progress]: [ 19 / 42 ] simplifiying candidate # 0.406 * * * * [progress]: [ 20 / 42 ] simplifiying candidate # 0.407 * * * * [progress]: [ 21 / 42 ] simplifiying candidate # 0.407 * * * * [progress]: [ 22 / 42 ] simplifiying candidate # 0.407 * * * * [progress]: [ 23 / 42 ] simplifiying candidate # 0.407 * * * * [progress]: [ 24 / 42 ] simplifiying candidate # 0.407 * * * * [progress]: [ 25 / 42 ] simplifiying candidate # 0.407 * * * * [progress]: [ 26 / 42 ] simplifiying candidate # 0.407 * * * * [progress]: [ 27 / 42 ] simplifiying candidate # 0.407 * * * * [progress]: [ 28 / 42 ] simplifiying candidate # 0.407 * * * * [progress]: [ 29 / 42 ] simplifiying candidate # 0.407 * * * * [progress]: [ 30 / 42 ] simplifiying candidate # 0.407 * * * * [progress]: [ 31 / 42 ] simplifiying candidate # 0.407 * * * * [progress]: [ 32 / 42 ] simplifiying candidate # 0.407 * * * * [progress]: [ 33 / 42 ] simplifiying candidate # 0.408 * * * * [progress]: [ 34 / 42 ] simplifiying candidate # 0.408 * * * * [progress]: [ 35 / 42 ] simplifiying candidate # 0.408 * * * * [progress]: [ 36 / 42 ] simplifiying candidate # 0.408 * * * * [progress]: [ 37 / 42 ] simplifiying candidate # 0.408 * * * * [progress]: [ 38 / 42 ] simplifiying candidate #real (real->posit16 (* (sqrt (- x 1)) (sqrt x)))))> 0.408 * * * * [progress]: [ 39 / 42 ] simplifiying candidate # 0.408 * * * * [progress]: [ 40 / 42 ] simplifiying candidate # 0.408 * * * * [progress]: [ 41 / 42 ] simplifiying candidate # 0.408 * * * * [progress]: [ 42 / 42 ] simplifiying candidate # 0.409 * [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))))) 0.410 * * [simplify]: iteration 0: 87 enodes 0.462 * * [simplify]: iteration 1: 199 enodes 0.524 * * [simplify]: iteration 2: 469 enodes 0.760 * * [simplify]: iteration 3: 1266 enodes 1.899 * * [simplify]: iteration 4: 4046 enodes 2.870 * * [simplify]: iteration complete: 5000 enodes 2.870 * * [simplify]: Extracting #0: cost 25 inf + 0 2.871 * * [simplify]: Extracting #1: cost 383 inf + 0 2.881 * * [simplify]: Extracting #2: cost 802 inf + 2196 2.905 * * [simplify]: Extracting #3: cost 446 inf + 46840 2.948 * * [simplify]: Extracting #4: cost 80 inf + 115458 2.999 * * [simplify]: Extracting #5: cost 9 inf + 134908 3.078 * * [simplify]: Extracting #6: cost 0 inf + 137566 3.159 * * [simplify]: Extracting #7: cost 0 inf + 137527 3.236 * [simplify]: Simplified to: (expm1 (* (sqrt x) (sqrt (+ x -1)))) (log1p (* (sqrt x) (sqrt (+ x -1)))) (* (+ x -1) x) (* (sqrt x) (sqrt (+ x -1))) (* (+ x -1) x) (log (* (sqrt x) (sqrt (+ x -1)))) (log (* (sqrt x) (sqrt (+ x -1)))) (exp (* (sqrt x) (sqrt (+ x -1)))) (* (* (+ x -1) (sqrt (+ x -1))) (* (sqrt x) x)) (* (cbrt (* (sqrt x) (sqrt (+ x -1)))) (cbrt (* (sqrt x) (sqrt (+ x -1))))) (cbrt (* (sqrt x) (sqrt (+ x -1)))) (* (* (+ x -1) (sqrt (+ x -1))) (* (sqrt x) x)) (* (+ x -1) x) (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)))) (fma (- +nan.0) x (* (* x x) (fma x +nan.0 (- +nan.0)))) (+ (+ x -1/2) (/ -1/8 x)) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) 3.238 * * * [progress]: adding candidates to table 3.380 * * [progress]: iteration 2 / 4 3.380 * * * [progress]: picking best candidate 3.387 * * * * [pick]: Picked # 3.387 * * * [progress]: localizing error 3.404 * * * [progress]: generating rewritten candidates 3.404 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.456 * * * [progress]: generating series expansions 3.456 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.456 * [backup-simplify]: Simplify (+ (+ x -1/2) (/ -1/8 x)) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 3.456 * [approximate]: Taking taylor expansion of (- x (+ (* 1/8 (/ 1 x)) 1/2)) in (x) around 0 3.456 * [taylor]: Taking taylor expansion of (- x (+ (* 1/8 (/ 1 x)) 1/2)) in x 3.456 * [taylor]: Taking taylor expansion of x in x 3.456 * [backup-simplify]: Simplify 0 into 0 3.456 * [backup-simplify]: Simplify 1 into 1 3.456 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 x)) 1/2) in x 3.456 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 x)) in x 3.456 * [taylor]: Taking taylor expansion of 1/8 in x 3.457 * [backup-simplify]: Simplify 1/8 into 1/8 3.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.457 * [taylor]: Taking taylor expansion of x in x 3.457 * [backup-simplify]: Simplify 0 into 0 3.457 * [backup-simplify]: Simplify 1 into 1 3.458 * [backup-simplify]: Simplify (/ 1 1) into 1 3.458 * [taylor]: Taking taylor expansion of 1/2 in x 3.458 * [backup-simplify]: Simplify 1/2 into 1/2 3.458 * [taylor]: Taking taylor expansion of (- x (+ (* 1/8 (/ 1 x)) 1/2)) in x 3.458 * [taylor]: Taking taylor expansion of x in x 3.458 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify 1 into 1 3.458 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 x)) 1/2) in x 3.458 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 x)) in x 3.458 * [taylor]: Taking taylor expansion of 1/8 in x 3.458 * [backup-simplify]: Simplify 1/8 into 1/8 3.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.458 * [taylor]: Taking taylor expansion of x in x 3.458 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify 1 into 1 3.459 * [backup-simplify]: Simplify (/ 1 1) into 1 3.459 * [taylor]: Taking taylor expansion of 1/2 in x 3.459 * [backup-simplify]: Simplify 1/2 into 1/2 3.459 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 3.460 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 3.460 * [backup-simplify]: Simplify (- 1/8) into -1/8 3.461 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 3.461 * [backup-simplify]: Simplify -1/8 into -1/8 3.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.462 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 3.463 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.463 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.464 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.464 * [backup-simplify]: Simplify -1/2 into -1/2 3.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.466 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 3.466 * [backup-simplify]: Simplify (+ 0 0) into 0 3.467 * [backup-simplify]: Simplify (- 0) into 0 3.467 * [backup-simplify]: Simplify (+ 1 0) into 1 3.467 * [backup-simplify]: Simplify 1 into 1 3.467 * [backup-simplify]: Simplify (+ (* 1 x) (+ -1/2 (* -1/8 (/ 1 x)))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 3.468 * [backup-simplify]: Simplify (+ (+ (/ 1 x) -1/2) (/ -1/8 (/ 1 x))) into (- (/ 1 x) (+ (* 1/8 x) 1/2)) 3.468 * [approximate]: Taking taylor expansion of (- (/ 1 x) (+ (* 1/8 x) 1/2)) in (x) around 0 3.468 * [taylor]: Taking taylor expansion of (- (/ 1 x) (+ (* 1/8 x) 1/2)) in x 3.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.468 * [taylor]: Taking taylor expansion of x in x 3.468 * [backup-simplify]: Simplify 0 into 0 3.468 * [backup-simplify]: Simplify 1 into 1 3.468 * [backup-simplify]: Simplify (/ 1 1) into 1 3.468 * [taylor]: Taking taylor expansion of (+ (* 1/8 x) 1/2) in x 3.468 * [taylor]: Taking taylor expansion of (* 1/8 x) in x 3.468 * [taylor]: Taking taylor expansion of 1/8 in x 3.468 * [backup-simplify]: Simplify 1/8 into 1/8 3.468 * [taylor]: Taking taylor expansion of x in x 3.468 * [backup-simplify]: Simplify 0 into 0 3.468 * [backup-simplify]: Simplify 1 into 1 3.468 * [taylor]: Taking taylor expansion of 1/2 in x 3.468 * [backup-simplify]: Simplify 1/2 into 1/2 3.469 * [taylor]: Taking taylor expansion of (- (/ 1 x) (+ (* 1/8 x) 1/2)) in x 3.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.469 * [taylor]: Taking taylor expansion of x in x 3.469 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify 1 into 1 3.469 * [backup-simplify]: Simplify (/ 1 1) into 1 3.469 * [taylor]: Taking taylor expansion of (+ (* 1/8 x) 1/2) in x 3.469 * [taylor]: Taking taylor expansion of (* 1/8 x) in x 3.469 * [taylor]: Taking taylor expansion of 1/8 in x 3.469 * [backup-simplify]: Simplify 1/8 into 1/8 3.469 * [taylor]: Taking taylor expansion of x in x 3.469 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify 1 into 1 3.469 * [taylor]: Taking taylor expansion of 1/2 in x 3.469 * [backup-simplify]: Simplify 1/2 into 1/2 3.470 * [backup-simplify]: Simplify (+ 1 0) into 1 3.470 * [backup-simplify]: Simplify 1 into 1 3.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.471 * [backup-simplify]: Simplify (* 1/8 0) into 0 3.472 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.472 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.473 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.473 * [backup-simplify]: Simplify -1/2 into -1/2 3.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.474 * [backup-simplify]: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 3.475 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 3.476 * [backup-simplify]: Simplify (- 1/8) into -1/8 3.476 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 3.476 * [backup-simplify]: Simplify -1/8 into -1/8 3.477 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 3.477 * [backup-simplify]: Simplify (+ (+ (/ 1 (- x)) -1/2) (/ -1/8 (/ 1 (- x)))) into (- (* 1/8 x) (+ (/ 1 x) 1/2)) 3.477 * [approximate]: Taking taylor expansion of (- (* 1/8 x) (+ (/ 1 x) 1/2)) in (x) around 0 3.477 * [taylor]: Taking taylor expansion of (- (* 1/8 x) (+ (/ 1 x) 1/2)) in x 3.477 * [taylor]: Taking taylor expansion of (* 1/8 x) in x 3.477 * [taylor]: Taking taylor expansion of 1/8 in x 3.477 * [backup-simplify]: Simplify 1/8 into 1/8 3.477 * [taylor]: Taking taylor expansion of x in x 3.477 * [backup-simplify]: Simplify 0 into 0 3.477 * [backup-simplify]: Simplify 1 into 1 3.477 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1/2) in x 3.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.477 * [taylor]: Taking taylor expansion of x in x 3.477 * [backup-simplify]: Simplify 0 into 0 3.477 * [backup-simplify]: Simplify 1 into 1 3.478 * [backup-simplify]: Simplify (/ 1 1) into 1 3.478 * [taylor]: Taking taylor expansion of 1/2 in x 3.478 * [backup-simplify]: Simplify 1/2 into 1/2 3.478 * [taylor]: Taking taylor expansion of (- (* 1/8 x) (+ (/ 1 x) 1/2)) in x 3.478 * [taylor]: Taking taylor expansion of (* 1/8 x) in x 3.478 * [taylor]: Taking taylor expansion of 1/8 in x 3.478 * [backup-simplify]: Simplify 1/8 into 1/8 3.478 * [taylor]: Taking taylor expansion of x in x 3.478 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify 1 into 1 3.478 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1/2) in x 3.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.478 * [taylor]: Taking taylor expansion of x in x 3.478 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify 1 into 1 3.479 * [backup-simplify]: Simplify (/ 1 1) into 1 3.479 * [taylor]: Taking taylor expansion of 1/2 in x 3.479 * [backup-simplify]: Simplify 1/2 into 1/2 3.479 * [backup-simplify]: Simplify (+ 1 0) into 1 3.480 * [backup-simplify]: Simplify (- 1) into -1 3.480 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.480 * [backup-simplify]: Simplify -1 into -1 3.481 * [backup-simplify]: Simplify (* 1/8 0) into 0 3.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.482 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.482 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.483 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.483 * [backup-simplify]: Simplify -1/2 into -1/2 3.483 * [backup-simplify]: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 3.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.485 * [backup-simplify]: Simplify (+ 0 0) into 0 3.485 * [backup-simplify]: Simplify (- 0) into 0 3.486 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 3.486 * [backup-simplify]: Simplify 1/8 into 1/8 3.486 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (- x))) (+ -1/2 (* -1 (/ 1 (/ 1 (- x)))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 3.486 * * * [progress]: simplifying candidates 3.486 * * * * [progress]: [ 1 / 27 ] simplifiying candidate # 3.486 * * * * [progress]: [ 2 / 27 ] simplifiying candidate # 3.486 * * * * [progress]: [ 3 / 27 ] simplifiying candidate # 3.486 * * * * [progress]: [ 4 / 27 ] simplifiying candidate # 3.487 * * * * [progress]: [ 5 / 27 ] simplifiying candidate # 3.487 * * * * [progress]: [ 6 / 27 ] simplifiying candidate # 3.487 * * * * [progress]: [ 7 / 27 ] simplifiying candidate # 3.487 * * * * [progress]: [ 8 / 27 ] simplifiying candidate # 3.487 * * * * [progress]: [ 9 / 27 ] simplifiying candidate # 3.487 * * * * [progress]: [ 10 / 27 ] simplifiying candidate # 3.487 * * * * [progress]: [ 11 / 27 ] simplifiying candidate # 3.487 * * * * [progress]: [ 12 / 27 ] simplifiying candidate # 3.487 * * * * [progress]: [ 13 / 27 ] simplifiying candidate # 3.487 * * * * [progress]: [ 14 / 27 ] simplifiying candidate # 3.487 * * * * [progress]: [ 15 / 27 ] simplifiying candidate # 3.487 * * * * [progress]: [ 16 / 27 ] simplifiying candidate # 3.487 * * * * [progress]: [ 17 / 27 ] simplifiying candidate # 3.487 * * * * [progress]: [ 18 / 27 ] simplifiying candidate # 3.488 * * * * [progress]: [ 19 / 27 ] simplifiying candidate # 3.488 * * * * [progress]: [ 20 / 27 ] simplifiying candidate # 3.488 * * * * [progress]: [ 21 / 27 ] simplifiying candidate # 3.488 * * * * [progress]: [ 22 / 27 ] simplifiying candidate # 3.488 * * * * [progress]: [ 23 / 27 ] simplifiying candidate #real (real->posit16 (+ (+ x -1/2) (/ -1/8 x)))))> 3.488 * * * * [progress]: [ 24 / 27 ] simplifiying candidate # 3.488 * * * * [progress]: [ 25 / 27 ] simplifiying candidate # 3.488 * * * * [progress]: [ 26 / 27 ] simplifiying candidate # 3.488 * * * * [progress]: [ 27 / 27 ] simplifiying candidate # 3.489 * [simplify]: Simplifying: (expm1 (+ (+ x -1/2) (/ -1/8 x))) (log1p (+ (+ x -1/2) (/ -1/8 x))) (* (* (exp x) (exp -1/2)) (exp (/ -1/8 x))) (* (exp (+ x -1/2)) (exp (/ -1/8 x))) (log (+ (+ x -1/2) (/ -1/8 x))) (exp (+ (+ x -1/2) (/ -1/8 x))) (* (cbrt (+ (+ x -1/2) (/ -1/8 x))) (cbrt (+ (+ x -1/2) (/ -1/8 x)))) (cbrt (+ (+ x -1/2) (/ -1/8 x))) (* (* (+ (+ x -1/2) (/ -1/8 x)) (+ (+ x -1/2) (/ -1/8 x))) (+ (+ x -1/2) (/ -1/8 x))) (sqrt (+ (+ x -1/2) (/ -1/8 x))) (sqrt (+ (+ x -1/2) (/ -1/8 x))) (+ (* (+ (pow x 3) (pow -1/2 3)) x) (* (+ (* x x) (- (* -1/2 -1/2) (* x -1/2))) -1/8)) (* (+ (* x x) (- (* -1/2 -1/2) (* x -1/2))) x) (+ (* (- (* x x) (* -1/2 -1/2)) x) (* (- x -1/2) -1/8)) (* (- x -1/2) x) (+ (pow (+ x -1/2) 3) (pow (/ -1/8 x) 3)) (+ (* (+ x -1/2) (+ x -1/2)) (- (* (/ -1/8 x) (/ -1/8 x)) (* (+ x -1/2) (/ -1/8 x)))) (- (* (+ x -1/2) (+ x -1/2)) (* (/ -1/8 x) (/ -1/8 x))) (- (+ x -1/2) (/ -1/8 x)) (+ (+ x -1/2) (/ -1/8 x)) (+ (+ x -1/2) (/ -1/8 x)) (+ -1/2 (/ -1/8 x)) (real->posit16 (+ (+ x -1/2) (/ -1/8 x))) (- x (+ (* 1/8 (/ 1 x)) 1/2)) (- x (+ (* 1/8 (/ 1 x)) 1/2)) (- x (+ (* 1/8 (/ 1 x)) 1/2)) 3.490 * * [simplify]: iteration 0: 60 enodes 3.515 * * [simplify]: iteration 1: 174 enodes 3.582 * * [simplify]: iteration 2: 532 enodes 3.905 * * [simplify]: iteration 3: 2700 enodes 5.855 * * [simplify]: iteration complete: 5001 enodes 5.855 * * [simplify]: Extracting #0: cost 19 inf + 0 5.857 * * [simplify]: Extracting #1: cost 281 inf + 0 5.866 * * [simplify]: Extracting #2: cost 809 inf + 4373 5.913 * * [simplify]: Extracting #3: cost 315 inf + 103395 6.008 * * [simplify]: Extracting #4: cost 63 inf + 148244 6.104 * * [simplify]: Extracting #5: cost 44 inf + 152888 6.156 * * [simplify]: Extracting #6: cost 21 inf + 157177 6.227 * * [simplify]: Extracting #7: cost 2 inf + 160964 6.330 * * [simplify]: Extracting #8: cost 0 inf + 161470 6.433 * [simplify]: Simplified to: (expm1 (- (+ x (/ -1/8 x)) 1/2)) (log1p (- (+ x (/ -1/8 x)) 1/2)) (exp (- (+ x (/ -1/8 x)) 1/2)) (exp (- (+ x (/ -1/8 x)) 1/2)) (log (- (+ x (/ -1/8 x)) 1/2)) (exp (- (+ x (/ -1/8 x)) 1/2)) (* (cbrt (- (+ x (/ -1/8 x)) 1/2)) (cbrt (- (+ x (/ -1/8 x)) 1/2))) (cbrt (- (+ x (/ -1/8 x)) 1/2)) (* (* (- (+ x (/ -1/8 x)) 1/2) (- (+ x (/ -1/8 x)) 1/2)) (- (+ x (/ -1/8 x)) 1/2)) (sqrt (- (+ x (/ -1/8 x)) 1/2)) (sqrt (- (+ x (/ -1/8 x)) 1/2)) (fma x (* -1/8 x) (fma 1/16 (- -1/2 x) (fma (* x x) (* x x) (* -1/8 x)))) (* (fma 1/2 x (fma x x 1/4)) x) (fma x (fma x x -1/4) (fma -1/8 x -1/16)) (* (+ x 1/2) x) (fma (- x 1/2) (* (- x 1/2) (- x 1/2)) (/ -1/512 (* (* x x) x))) (+ (* (/ 1/8 x) (/ 1/8 x)) (fma (- x 1/2) (/ 1/8 x) (* (- x 1/2) (- x 1/2)))) (fma (- x 1/2) (- x 1/2) (/ (/ -1/64 x) x)) (+ -1/2 (+ x (/ 1/8 x))) (- (+ x (/ -1/8 x)) 1/2) (- (+ x (/ -1/8 x)) 1/2) (+ -1/2 (/ -1/8 x)) (real->posit16 (- (+ x (/ -1/8 x)) 1/2)) (- (+ x (/ -1/8 x)) 1/2) (- (+ x (/ -1/8 x)) 1/2) (- (+ x (/ -1/8 x)) 1/2) 6.435 * * * [progress]: adding candidates to table 6.503 * * [progress]: iteration 3 / 4 6.503 * * * [progress]: picking best candidate 6.505 * * * * [pick]: Picked # 6.505 * * * [progress]: localizing error 6.512 * * * [progress]: generating rewritten candidates 6.512 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 6.521 * * * [progress]: generating series expansions 6.521 * * * * [progress]: [ 1 / 1 ] generating series at (2) 6.521 * [backup-simplify]: Simplify (sqrt (* (- x 1) x)) into (sqrt (* x (- x 1))) 6.521 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1))) in (x) around 0 6.521 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 6.521 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 6.521 * [taylor]: Taking taylor expansion of x in x 6.521 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify 1 into 1 6.522 * [taylor]: Taking taylor expansion of (- x 1) in x 6.522 * [taylor]: Taking taylor expansion of x in x 6.522 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify 1 into 1 6.522 * [taylor]: Taking taylor expansion of 1 in x 6.522 * [backup-simplify]: Simplify 1 into 1 6.522 * [backup-simplify]: Simplify (- 1) into -1 6.522 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.523 * [backup-simplify]: Simplify (* 0 -1) into 0 6.523 * [backup-simplify]: Simplify (- 0) into 0 6.523 * [backup-simplify]: Simplify (+ 1 0) into 1 6.524 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.524 * [backup-simplify]: Simplify (sqrt 0) into 0 6.525 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.525 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 6.525 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 6.525 * [taylor]: Taking taylor expansion of x in x 6.525 * [backup-simplify]: Simplify 0 into 0 6.525 * [backup-simplify]: Simplify 1 into 1 6.525 * [taylor]: Taking taylor expansion of (- x 1) in x 6.525 * [taylor]: Taking taylor expansion of x in x 6.525 * [backup-simplify]: Simplify 0 into 0 6.525 * [backup-simplify]: Simplify 1 into 1 6.525 * [taylor]: Taking taylor expansion of 1 in x 6.525 * [backup-simplify]: Simplify 1 into 1 6.525 * [backup-simplify]: Simplify (- 1) into -1 6.526 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.526 * [backup-simplify]: Simplify (* 0 -1) into 0 6.526 * [backup-simplify]: Simplify (- 0) into 0 6.526 * [backup-simplify]: Simplify (+ 1 0) into 1 6.527 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.527 * [backup-simplify]: Simplify (sqrt 0) into 0 6.528 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.528 * [backup-simplify]: Simplify 0 into 0 6.528 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.528 * [backup-simplify]: Simplify (- 0) into 0 6.528 * [backup-simplify]: Simplify (+ 0 0) into 0 6.529 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 6.531 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.531 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.531 * [backup-simplify]: Simplify (- 0) into 0 6.531 * [backup-simplify]: Simplify (+ 0 0) into 0 6.532 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 6.534 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.534 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.535 * [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))))))) 6.535 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 x) 1) (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1) x)) 6.535 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in (x) around 0 6.535 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 6.535 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 6.535 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 6.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.535 * [taylor]: Taking taylor expansion of x in x 6.535 * [backup-simplify]: Simplify 0 into 0 6.535 * [backup-simplify]: Simplify 1 into 1 6.535 * [backup-simplify]: Simplify (/ 1 1) into 1 6.535 * [taylor]: Taking taylor expansion of 1 in x 6.535 * [backup-simplify]: Simplify 1 into 1 6.535 * [taylor]: Taking taylor expansion of x in x 6.535 * [backup-simplify]: Simplify 0 into 0 6.535 * [backup-simplify]: Simplify 1 into 1 6.536 * [backup-simplify]: Simplify (+ 1 0) into 1 6.536 * [backup-simplify]: Simplify (/ 1 1) into 1 6.536 * [backup-simplify]: Simplify (sqrt 1) into 1 6.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.537 * [backup-simplify]: Simplify (- 1) into -1 6.537 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.538 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 6.538 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 6.538 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 6.538 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 6.538 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 6.538 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.538 * [taylor]: Taking taylor expansion of x in x 6.538 * [backup-simplify]: Simplify 0 into 0 6.538 * [backup-simplify]: Simplify 1 into 1 6.538 * [backup-simplify]: Simplify (/ 1 1) into 1 6.538 * [taylor]: Taking taylor expansion of 1 in x 6.539 * [backup-simplify]: Simplify 1 into 1 6.539 * [taylor]: Taking taylor expansion of x in x 6.539 * [backup-simplify]: Simplify 0 into 0 6.539 * [backup-simplify]: Simplify 1 into 1 6.539 * [backup-simplify]: Simplify (+ 1 0) into 1 6.539 * [backup-simplify]: Simplify (/ 1 1) into 1 6.539 * [backup-simplify]: Simplify (sqrt 1) into 1 6.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.540 * [backup-simplify]: Simplify (- 1) into -1 6.540 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.541 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 6.541 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 6.541 * [backup-simplify]: Simplify 1 into 1 6.541 * [backup-simplify]: Simplify -1/2 into -1/2 6.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.542 * [backup-simplify]: Simplify (- 0) into 0 6.542 * [backup-simplify]: Simplify (+ 0 0) into 0 6.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)))) into 0 6.543 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 6.544 * [backup-simplify]: Simplify -1/8 into -1/8 6.544 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 6.544 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 (- x)) 1) (/ 1 (- x)))) into (sqrt (/ (+ (/ 1 x) 1) x)) 6.544 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) x)) in (x) around 0 6.544 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) x)) in x 6.544 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x 6.544 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 6.544 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.544 * [taylor]: Taking taylor expansion of x in x 6.544 * [backup-simplify]: Simplify 0 into 0 6.544 * [backup-simplify]: Simplify 1 into 1 6.544 * [backup-simplify]: Simplify (/ 1 1) into 1 6.544 * [taylor]: Taking taylor expansion of 1 in x 6.544 * [backup-simplify]: Simplify 1 into 1 6.544 * [taylor]: Taking taylor expansion of x in x 6.544 * [backup-simplify]: Simplify 0 into 0 6.544 * [backup-simplify]: Simplify 1 into 1 6.545 * [backup-simplify]: Simplify (+ 1 0) into 1 6.545 * [backup-simplify]: Simplify (/ 1 1) into 1 6.545 * [backup-simplify]: Simplify (sqrt 1) into 1 6.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.546 * [backup-simplify]: Simplify (+ 0 1) into 1 6.546 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 6.547 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 6.547 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) x)) in x 6.547 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x 6.547 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 6.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.547 * [taylor]: Taking taylor expansion of x in x 6.547 * [backup-simplify]: Simplify 0 into 0 6.547 * [backup-simplify]: Simplify 1 into 1 6.547 * [backup-simplify]: Simplify (/ 1 1) into 1 6.547 * [taylor]: Taking taylor expansion of 1 in x 6.547 * [backup-simplify]: Simplify 1 into 1 6.547 * [taylor]: Taking taylor expansion of x in x 6.547 * [backup-simplify]: Simplify 0 into 0 6.547 * [backup-simplify]: Simplify 1 into 1 6.547 * [backup-simplify]: Simplify (+ 1 0) into 1 6.548 * [backup-simplify]: Simplify (/ 1 1) into 1 6.548 * [backup-simplify]: Simplify (sqrt 1) into 1 6.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.549 * [backup-simplify]: Simplify (+ 0 1) into 1 6.549 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 6.549 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 6.550 * [backup-simplify]: Simplify 1 into 1 6.550 * [backup-simplify]: Simplify 1/2 into 1/2 6.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.550 * [backup-simplify]: Simplify (+ 0 0) into 0 6.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.551 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 6.551 * [backup-simplify]: Simplify -1/8 into -1/8 6.552 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 (- x))) (+ 1/2 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 1/8 (/ 1 x)) 1/2) x) 6.552 * * * [progress]: simplifying candidates 6.552 * * * * [progress]: [ 1 / 19 ] simplifiying candidate # 6.552 * * * * [progress]: [ 2 / 19 ] simplifiying candidate # 6.552 * * * * [progress]: [ 3 / 19 ] simplifiying candidate # 6.552 * * * * [progress]: [ 4 / 19 ] simplifiying candidate # 6.552 * * * * [progress]: [ 5 / 19 ] simplifiying candidate # 6.552 * * * * [progress]: [ 6 / 19 ] simplifiying candidate # 6.552 * * * * [progress]: [ 7 / 19 ] simplifiying candidate # 6.552 * * * * [progress]: [ 8 / 19 ] simplifiying candidate # 6.552 * * * * [progress]: [ 9 / 19 ] simplifiying candidate # 6.552 * * * * [progress]: [ 10 / 19 ] simplifiying candidate # 6.552 * * * * [progress]: [ 11 / 19 ] simplifiying candidate # 6.552 * * * * [progress]: [ 12 / 19 ] simplifiying candidate # 6.552 * * * * [progress]: [ 13 / 19 ] simplifiying candidate # 6.552 * * * * [progress]: [ 14 / 19 ] simplifiying candidate # 6.552 * * * * [progress]: [ 15 / 19 ] simplifiying candidate # 6.552 * * * * [progress]: [ 16 / 19 ] simplifiying candidate #real (real->posit16 (sqrt (* (- x 1) x)))))> 6.552 * * * * [progress]: [ 17 / 19 ] simplifiying candidate # 6.552 * * * * [progress]: [ 18 / 19 ] simplifiying candidate # 6.552 * * * * [progress]: [ 19 / 19 ] simplifiying candidate # 6.553 * [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) 6.553 * * [simplify]: iteration 0: 53 enodes 6.571 * * [simplify]: iteration 1: 119 enodes 6.606 * * [simplify]: iteration 2: 265 enodes 6.711 * * [simplify]: iteration 3: 669 enodes 7.290 * * [simplify]: iteration 4: 1841 enodes 9.730 * * [simplify]: iteration complete: 5000 enodes 9.731 * * [simplify]: Extracting #0: cost 19 inf + 0 9.732 * * [simplify]: Extracting #1: cost 241 inf + 1 9.739 * * [simplify]: Extracting #2: cost 759 inf + 3568 9.757 * * [simplify]: Extracting #3: cost 496 inf + 47835 9.780 * * [simplify]: Extracting #4: cost 268 inf + 89280 9.833 * * [simplify]: Extracting #5: cost 51 inf + 173726 9.872 * * [simplify]: Extracting #6: cost 0 inf + 191450 9.930 * * [simplify]: Extracting #7: cost 0 inf + 190584 9.996 * [simplify]: Simplified to: (expm1 (sqrt (* x (- x 1)))) (log1p (sqrt (* x (- x 1)))) (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)))) (* (* x (- x 1)) (sqrt (* x (- x 1)))) (sqrt (- x 1)) (sqrt x) (sqrt (- (* (* x x) (* x x)) x)) (sqrt (+ x (fma x x 1))) (sqrt (* (fma x x -1) x)) (sqrt (+ 1 x)) 1/2 1/2 (sqrt (sqrt (* x (- x 1)))) (sqrt (sqrt (* x (- x 1)))) (real->posit16 (sqrt (* x (- x 1)))) (* x (- (- (* x (* x +nan.0)) (* x +nan.0)) +nan.0)) (- (- x 1/2) (/ 1/8 x)) (+ (- 1/2 x) (/ 1/8 x)) 9.997 * * * [progress]: adding candidates to table 10.085 * [progress]: [Phase 3 of 3] Extracting. 10.085 * * [regime]: Finding splitpoints for: (# # #) 10.086 * * * [regime-changes]: Trying 2 branch expressions: ((* (sqrt (- x 1)) (sqrt x)) x) 10.087 * * * * [regimes]: Trying to branch on (* (sqrt (- x 1)) (sqrt x)) from (# # #) 10.115 * * * * [regimes]: Trying to branch on x from (# # #) 10.147 * * * [regime]: Found split indices: #