0.605 * [progress]: [Phase 1 of 3] Setting up. 0.004 * * * [progress]: [1/2] Preparing points 0.201 * * * [progress]: [2/2] Setting up program. 0.205 * [progress]: [Phase 2 of 3] Improving. 0.205 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.207 * [simplify]: Simplifying: (* (sqrt (- x 1)) (sqrt x)) 0.208 * * [simplify]: iteration 0: 6 enodes 0.213 * * [simplify]: iteration 1: 12 enodes 0.214 * * [simplify]: iteration 2: 13 enodes 0.216 * * [simplify]: iteration complete: 13 enodes 0.216 * * [simplify]: Extracting #0: cost 1 inf + 0 0.216 * * [simplify]: Extracting #1: cost 3 inf + 0 0.216 * * [simplify]: Extracting #2: cost 5 inf + 0 0.217 * * [simplify]: Extracting #3: cost 6 inf + 1 0.217 * * [simplify]: Extracting #4: cost 0 inf + 330 0.217 * [simplify]: Simplified to: (* (sqrt (- x 1)) (sqrt x)) 0.219 * * [progress]: iteration 1 / 4 0.219 * * * [progress]: picking best candidate 0.222 * * * * [pick]: Picked # 0.222 * * * [progress]: localizing error 0.277 * * * [progress]: generating rewritten candidates 0.278 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.319 * * * [progress]: generating series expansions 0.320 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.326 * [backup-simplify]: Simplify (* (sqrt (- x 1)) (sqrt x)) into (sqrt (* x (- x 1))) 0.327 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1))) in (x) around 0 0.328 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 0.328 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [taylor]: Taking taylor expansion of (- x 1) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [taylor]: Taking taylor expansion of 1 in x 0.328 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (- 1) into -1 0.330 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.331 * [backup-simplify]: Simplify (* 0 -1) into 0 0.331 * [backup-simplify]: Simplify (- 0) into 0 0.332 * [backup-simplify]: Simplify (+ 1 0) into 1 0.332 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 0.333 * [backup-simplify]: Simplify (sqrt 0) into 0 0.334 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.335 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 0.335 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [taylor]: Taking taylor expansion of (- x 1) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [taylor]: Taking taylor expansion of 1 in x 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (- 1) into -1 0.336 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.336 * [backup-simplify]: Simplify (* 0 -1) into 0 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.337 * [backup-simplify]: Simplify (+ 1 0) into 1 0.338 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 0.338 * [backup-simplify]: Simplify (sqrt 0) into 0 0.339 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [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 1) (* 0 -1))) into 1 0.347 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.348 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.348 * [backup-simplify]: Simplify (- 0) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.350 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 0.354 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.354 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.356 * [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))))))) 0.356 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1) x)) 0.356 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in (x) around 0 0.356 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 0.356 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 0.356 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [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 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (+ 1 0) into 1 0.358 * [backup-simplify]: Simplify (/ 1 1) into 1 0.359 * [backup-simplify]: Simplify (sqrt 1) into 1 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (- 1) into -1 0.361 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.362 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 0.363 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 0.363 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 0.363 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 0.363 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 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 0.363 * [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 0.364 * [backup-simplify]: Simplify (+ 1 0) into 1 0.364 * [backup-simplify]: Simplify (/ 1 1) into 1 0.365 * [backup-simplify]: Simplify (sqrt 1) into 1 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (- 1) into -1 0.366 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.367 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 0.368 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify -1/2 into -1/2 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (- 0) into 0 0.370 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 0.372 * [backup-simplify]: Simplify -1/8 into -1/8 0.372 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 0.373 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) 0.373 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in (x) around 0 0.373 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x 0.373 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 0.373 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (/ 1 1) into 1 0.373 * [taylor]: Taking taylor expansion of 1 in x 0.373 * [backup-simplify]: Simplify 1 into 1 0.374 * [backup-simplify]: Simplify (+ 1 0) into 1 0.374 * [backup-simplify]: Simplify (- 1) into -1 0.375 * [backup-simplify]: Simplify (sqrt 0) into 0 0.375 * [backup-simplify]: Simplify (- 1) into -1 0.376 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.376 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.376 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.377 * [taylor]: Taking taylor expansion of -1 in x 0.377 * [backup-simplify]: Simplify -1 into -1 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (/ -1 1) into -1 0.377 * [backup-simplify]: Simplify (sqrt 0) into 0 0.379 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.379 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x 0.379 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 0.379 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify (/ 1 1) into 1 0.380 * [taylor]: Taking taylor expansion of 1 in x 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify (+ 1 0) into 1 0.380 * [backup-simplify]: Simplify (- 1) into -1 0.381 * [backup-simplify]: Simplify (sqrt 0) into 0 0.381 * [backup-simplify]: Simplify (- 1) into -1 0.383 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.383 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.383 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.383 * [taylor]: Taking taylor expansion of -1 in x 0.383 * [backup-simplify]: Simplify -1 into -1 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (/ -1 1) into -1 0.384 * [backup-simplify]: Simplify (sqrt 0) into 0 0.385 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.386 * [backup-simplify]: Simplify (* 0 0) into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.390 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (+ 0 1) into 1 0.392 * [backup-simplify]: Simplify (- 1) into -1 0.395 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.398 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 0.398 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (+ 0 0) into 0 0.415 * [backup-simplify]: Simplify (- 0) into 0 0.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.420 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 0.420 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [backup-simplify]: Simplify (- 0) into 0 0.427 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.431 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 0.431 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.432 * [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))))) 0.432 * * * [progress]: simplifying candidates 0.432 * * * * [progress]: [ 1 / 42 ] simplifiying candidate # 0.432 * * * * [progress]: [ 2 / 42 ] simplifiying candidate # 0.432 * * * * [progress]: [ 3 / 42 ] simplifiying candidate # 0.432 * * * * [progress]: [ 4 / 42 ] simplifiying candidate # 0.432 * * * * [progress]: [ 5 / 42 ] simplifiying candidate # 0.432 * * * * [progress]: [ 6 / 42 ] simplifiying candidate # 0.432 * * * * [progress]: [ 7 / 42 ] simplifiying candidate # 0.432 * * * * [progress]: [ 8 / 42 ] simplifiying candidate # 0.432 * * * * [progress]: [ 9 / 42 ] simplifiying candidate # 0.432 * * * * [progress]: [ 10 / 42 ] simplifiying candidate # 0.432 * * * * [progress]: [ 11 / 42 ] simplifiying candidate # 0.433 * * * * [progress]: [ 12 / 42 ] simplifiying candidate # 0.433 * * * * [progress]: [ 13 / 42 ] simplifiying candidate # 0.433 * * * * [progress]: [ 14 / 42 ] simplifiying candidate # 0.433 * * * * [progress]: [ 15 / 42 ] simplifiying candidate # 0.433 * * * * [progress]: [ 16 / 42 ] simplifiying candidate # 0.433 * * * * [progress]: [ 17 / 42 ] simplifiying candidate # 0.433 * * * * [progress]: [ 18 / 42 ] simplifiying candidate # 0.433 * * * * [progress]: [ 19 / 42 ] simplifiying candidate # 0.433 * * * * [progress]: [ 20 / 42 ] simplifiying candidate # 0.433 * * * * [progress]: [ 21 / 42 ] simplifiying candidate # 0.433 * * * * [progress]: [ 22 / 42 ] simplifiying candidate # 0.433 * * * * [progress]: [ 23 / 42 ] simplifiying candidate # 0.433 * * * * [progress]: [ 24 / 42 ] simplifiying candidate # 0.433 * * * * [progress]: [ 25 / 42 ] simplifiying candidate # 0.433 * * * * [progress]: [ 26 / 42 ] simplifiying candidate # 0.433 * * * * [progress]: [ 27 / 42 ] simplifiying candidate # 0.433 * * * * [progress]: [ 28 / 42 ] simplifiying candidate # 0.433 * * * * [progress]: [ 29 / 42 ] simplifiying candidate # 0.433 * * * * [progress]: [ 30 / 42 ] simplifiying candidate # 0.433 * * * * [progress]: [ 31 / 42 ] simplifiying candidate # 0.433 * * * * [progress]: [ 32 / 42 ] simplifiying candidate # 0.433 * * * * [progress]: [ 33 / 42 ] simplifiying candidate # 0.433 * * * * [progress]: [ 34 / 42 ] simplifiying candidate # 0.433 * * * * [progress]: [ 35 / 42 ] simplifiying candidate # 0.433 * * * * [progress]: [ 36 / 42 ] simplifiying candidate # 0.433 * * * * [progress]: [ 37 / 42 ] simplifiying candidate # 0.433 * * * * [progress]: [ 38 / 42 ] simplifiying candidate #real (real->posit16 (* (sqrt (- x 1)) (sqrt x)))))> 0.434 * * * * [progress]: [ 39 / 42 ] simplifiying candidate # 0.434 * * * * [progress]: [ 40 / 42 ] simplifiying candidate # 0.434 * * * * [progress]: [ 41 / 42 ] simplifiying candidate # 0.434 * * * * [progress]: [ 42 / 42 ] simplifiying candidate # 0.434 * [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))))) 0.435 * * [simplify]: iteration 0: 87 enodes 0.474 * * [simplify]: iteration 1: 199 enodes 0.582 * * [simplify]: iteration 2: 469 enodes 0.789 * * [simplify]: iteration 3: 1266 enodes 1.299 * * [simplify]: iteration complete: 2001 enodes 1.299 * * [simplify]: Extracting #0: cost 25 inf + 0 1.299 * * [simplify]: Extracting #1: cost 133 inf + 0 1.301 * * [simplify]: Extracting #2: cost 251 inf + 1645 1.305 * * [simplify]: Extracting #3: cost 200 inf + 11966 1.314 * * [simplify]: Extracting #4: cost 96 inf + 28242 1.325 * * [simplify]: Extracting #5: cost 46 inf + 43136 1.338 * * [simplify]: Extracting #6: cost 7 inf + 49397 1.362 * * [simplify]: Extracting #7: cost 0 inf + 51378 1.393 * [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)))) (* (* (sqrt x) x) (* (- x 1) (sqrt (- x 1)))) (* (cbrt (* (sqrt x) (sqrt (- x 1)))) (cbrt (* (sqrt x) (sqrt (- x 1))))) (cbrt (* (sqrt x) (sqrt (- x 1)))) (* (* (sqrt x) x) (* (- x 1) (sqrt (- x 1)))) (* (- 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 (* +nan.0 (- (* x (* x x)) (* x x)))) (- (- x (/ 1/8 x)) 1/2) (- (fma (- (/ +nan.0 x)) (/ 1 x) (/ +nan.0 x)) +nan.0) 1.395 * * * [progress]: adding candidates to table 1.521 * * [progress]: iteration 2 / 4 1.521 * * * [progress]: picking best candidate 1.527 * * * * [pick]: Picked # 1.527 * * * [progress]: localizing error 1.545 * * * [progress]: generating rewritten candidates 1.545 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.651 * * * [progress]: generating series expansions 1.651 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.651 * [backup-simplify]: Simplify (- (- x (/ 1/8 x)) 1/2) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1.651 * [approximate]: Taking taylor expansion of (- x (+ (* 1/8 (/ 1 x)) 1/2)) in (x) around 0 1.651 * [taylor]: Taking taylor expansion of (- x (+ (* 1/8 (/ 1 x)) 1/2)) in x 1.651 * [taylor]: Taking taylor expansion of x in x 1.651 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify 1 into 1 1.652 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 x)) 1/2) in x 1.652 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 x)) in x 1.652 * [taylor]: Taking taylor expansion of 1/8 in x 1.652 * [backup-simplify]: Simplify 1/8 into 1/8 1.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.652 * [taylor]: Taking taylor expansion of x in x 1.652 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify 1 into 1 1.653 * [backup-simplify]: Simplify (/ 1 1) into 1 1.653 * [taylor]: Taking taylor expansion of 1/2 in x 1.653 * [backup-simplify]: Simplify 1/2 into 1/2 1.653 * [taylor]: Taking taylor expansion of (- x (+ (* 1/8 (/ 1 x)) 1/2)) in x 1.653 * [taylor]: Taking taylor expansion of x in x 1.653 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify 1 into 1 1.653 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 x)) 1/2) in x 1.653 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 x)) in x 1.653 * [taylor]: Taking taylor expansion of 1/8 in x 1.653 * [backup-simplify]: Simplify 1/8 into 1/8 1.653 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.653 * [taylor]: Taking taylor expansion of x in x 1.653 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify 1 into 1 1.653 * [backup-simplify]: Simplify (/ 1 1) into 1 1.654 * [taylor]: Taking taylor expansion of 1/2 in x 1.654 * [backup-simplify]: Simplify 1/2 into 1/2 1.654 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 1.655 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 1.655 * [backup-simplify]: Simplify (- 1/8) into -1/8 1.656 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 1.656 * [backup-simplify]: Simplify -1/8 into -1/8 1.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.657 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 1.658 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.658 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.659 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.659 * [backup-simplify]: Simplify -1/2 into -1/2 1.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.661 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 1.661 * [backup-simplify]: Simplify (+ 0 0) into 0 1.662 * [backup-simplify]: Simplify (- 0) into 0 1.662 * [backup-simplify]: Simplify (+ 1 0) into 1 1.662 * [backup-simplify]: Simplify 1 into 1 1.663 * [backup-simplify]: Simplify (+ (* 1 x) (+ -1/2 (* -1/8 (/ 1 x)))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1.663 * [backup-simplify]: Simplify (- (- (/ 1 x) (/ 1/8 (/ 1 x))) 1/2) into (- (/ 1 x) (+ (* 1/8 x) 1/2)) 1.663 * [approximate]: Taking taylor expansion of (- (/ 1 x) (+ (* 1/8 x) 1/2)) in (x) around 0 1.663 * [taylor]: Taking taylor expansion of (- (/ 1 x) (+ (* 1/8 x) 1/2)) in x 1.663 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.663 * [taylor]: Taking taylor expansion of x in x 1.663 * [backup-simplify]: Simplify 0 into 0 1.663 * [backup-simplify]: Simplify 1 into 1 1.663 * [backup-simplify]: Simplify (/ 1 1) into 1 1.663 * [taylor]: Taking taylor expansion of (+ (* 1/8 x) 1/2) in x 1.663 * [taylor]: Taking taylor expansion of (* 1/8 x) in x 1.663 * [taylor]: Taking taylor expansion of 1/8 in x 1.663 * [backup-simplify]: Simplify 1/8 into 1/8 1.663 * [taylor]: Taking taylor expansion of x in x 1.663 * [backup-simplify]: Simplify 0 into 0 1.663 * [backup-simplify]: Simplify 1 into 1 1.663 * [taylor]: Taking taylor expansion of 1/2 in x 1.663 * [backup-simplify]: Simplify 1/2 into 1/2 1.663 * [taylor]: Taking taylor expansion of (- (/ 1 x) (+ (* 1/8 x) 1/2)) in x 1.663 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.663 * [taylor]: Taking taylor expansion of x in x 1.663 * [backup-simplify]: Simplify 0 into 0 1.663 * [backup-simplify]: Simplify 1 into 1 1.664 * [backup-simplify]: Simplify (/ 1 1) into 1 1.664 * [taylor]: Taking taylor expansion of (+ (* 1/8 x) 1/2) in x 1.664 * [taylor]: Taking taylor expansion of (* 1/8 x) in x 1.664 * [taylor]: Taking taylor expansion of 1/8 in x 1.664 * [backup-simplify]: Simplify 1/8 into 1/8 1.664 * [taylor]: Taking taylor expansion of x in x 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify 1 into 1 1.664 * [taylor]: Taking taylor expansion of 1/2 in x 1.664 * [backup-simplify]: Simplify 1/2 into 1/2 1.664 * [backup-simplify]: Simplify (+ 1 0) into 1 1.664 * [backup-simplify]: Simplify 1 into 1 1.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.665 * [backup-simplify]: Simplify (* 1/8 0) into 0 1.665 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.665 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.666 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.666 * [backup-simplify]: Simplify -1/2 into -1/2 1.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.667 * [backup-simplify]: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 1.667 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 1.668 * [backup-simplify]: Simplify (- 1/8) into -1/8 1.668 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 1.668 * [backup-simplify]: Simplify -1/8 into -1/8 1.668 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1.668 * [backup-simplify]: Simplify (- (- (/ 1 (- x)) (/ 1/8 (/ 1 (- x)))) 1/2) into (- (* 1/8 x) (+ (/ 1 x) 1/2)) 1.668 * [approximate]: Taking taylor expansion of (- (* 1/8 x) (+ (/ 1 x) 1/2)) in (x) around 0 1.668 * [taylor]: Taking taylor expansion of (- (* 1/8 x) (+ (/ 1 x) 1/2)) in x 1.668 * [taylor]: Taking taylor expansion of (* 1/8 x) in x 1.668 * [taylor]: Taking taylor expansion of 1/8 in x 1.668 * [backup-simplify]: Simplify 1/8 into 1/8 1.668 * [taylor]: Taking taylor expansion of x in x 1.668 * [backup-simplify]: Simplify 0 into 0 1.668 * [backup-simplify]: Simplify 1 into 1 1.668 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1/2) in x 1.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.668 * [taylor]: Taking taylor expansion of x in x 1.668 * [backup-simplify]: Simplify 0 into 0 1.668 * [backup-simplify]: Simplify 1 into 1 1.669 * [backup-simplify]: Simplify (/ 1 1) into 1 1.669 * [taylor]: Taking taylor expansion of 1/2 in x 1.669 * [backup-simplify]: Simplify 1/2 into 1/2 1.669 * [taylor]: Taking taylor expansion of (- (* 1/8 x) (+ (/ 1 x) 1/2)) in x 1.669 * [taylor]: Taking taylor expansion of (* 1/8 x) in x 1.669 * [taylor]: Taking taylor expansion of 1/8 in x 1.669 * [backup-simplify]: Simplify 1/8 into 1/8 1.669 * [taylor]: Taking taylor expansion of x in x 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify 1 into 1 1.669 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1/2) in x 1.669 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.669 * [taylor]: Taking taylor expansion of x in x 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify 1 into 1 1.669 * [backup-simplify]: Simplify (/ 1 1) into 1 1.669 * [taylor]: Taking taylor expansion of 1/2 in x 1.669 * [backup-simplify]: Simplify 1/2 into 1/2 1.669 * [backup-simplify]: Simplify (+ 1 0) into 1 1.670 * [backup-simplify]: Simplify (- 1) into -1 1.670 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.670 * [backup-simplify]: Simplify -1 into -1 1.670 * [backup-simplify]: Simplify (* 1/8 0) into 0 1.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.671 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.671 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.671 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.671 * [backup-simplify]: Simplify -1/2 into -1/2 1.672 * [backup-simplify]: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 1.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.673 * [backup-simplify]: Simplify (+ 0 0) into 0 1.673 * [backup-simplify]: Simplify (- 0) into 0 1.673 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 1.673 * [backup-simplify]: Simplify 1/8 into 1/8 1.673 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (- x))) (+ -1/2 (* -1 (/ 1 (/ 1 (- x)))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1.674 * * * [progress]: simplifying candidates 1.674 * * * * [progress]: [ 1 / 88 ] simplifiying candidate # 1.674 * * * * [progress]: [ 2 / 88 ] simplifiying candidate # 1.674 * * * * [progress]: [ 3 / 88 ] simplifiying candidate # 1.674 * * * * [progress]: [ 4 / 88 ] simplifiying candidate # 1.674 * * * * [progress]: [ 5 / 88 ] simplifiying candidate # 1.674 * * * * [progress]: [ 6 / 88 ] simplifiying candidate # 1.674 * * * * [progress]: [ 7 / 88 ] simplifiying candidate # 1.674 * * * * [progress]: [ 8 / 88 ] simplifiying candidate # 1.674 * * * * [progress]: [ 9 / 88 ] simplifiying candidate # 1.674 * * * * [progress]: [ 10 / 88 ] simplifiying candidate # 1.674 * * * * [progress]: [ 11 / 88 ] simplifiying candidate # 1.674 * * * * [progress]: [ 12 / 88 ] simplifiying candidate # 1.674 * * * * [progress]: [ 13 / 88 ] simplifiying candidate # 1.674 * * * * [progress]: [ 14 / 88 ] simplifiying candidate # 1.674 * * * * [progress]: [ 15 / 88 ] simplifiying candidate # 1.674 * * * * [progress]: [ 16 / 88 ] simplifiying candidate # 1.674 * * * * [progress]: [ 17 / 88 ] 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[progress]: [ 49 / 88 ] simplifiying candidate # 1.678 * * * * [progress]: [ 50 / 88 ] simplifiying candidate # 1.678 * * * * [progress]: [ 51 / 88 ] simplifiying candidate # 1.678 * * * * [progress]: [ 52 / 88 ] simplifiying candidate # 1.678 * * * * [progress]: [ 53 / 88 ] simplifiying candidate # 1.678 * * * * [progress]: [ 54 / 88 ] simplifiying candidate # 1.678 * * * * [progress]: [ 55 / 88 ] simplifiying candidate # 1.678 * * * * [progress]: [ 56 / 88 ] simplifiying candidate # 1.678 * * * * [progress]: [ 57 / 88 ] simplifiying candidate # 1.678 * * * * [progress]: [ 58 / 88 ] simplifiying candidate # 1.678 * * * * [progress]: [ 59 / 88 ] simplifiying candidate # 1.678 * * * * [progress]: [ 60 / 88 ] simplifiying candidate # 1.678 * * * * [progress]: [ 61 / 88 ] simplifiying candidate # 1.678 * * * * [progress]: [ 62 / 88 ] simplifiying candidate # 1.678 * * * * [progress]: [ 63 / 88 ] simplifiying candidate # 1.678 * * * * [progress]: [ 64 / 88 ] simplifiying candidate # 1.678 * * * * [progress]: [ 65 / 88 ] simplifiying candidate # 1.679 * * * * [progress]: [ 66 / 88 ] simplifiying candidate # 1.679 * * * * [progress]: [ 67 / 88 ] simplifiying candidate # 1.679 * * * * [progress]: [ 68 / 88 ] simplifiying candidate # 1.679 * * * * [progress]: [ 69 / 88 ] simplifiying candidate # 1.679 * * * * [progress]: [ 70 / 88 ] simplifiying candidate # 1.679 * * * * [progress]: [ 71 / 88 ] simplifiying candidate # 1.679 * * * * [progress]: [ 72 / 88 ] simplifiying candidate # 1.679 * * * * [progress]: [ 73 / 88 ] simplifiying candidate # 1.679 * * * * [progress]: [ 74 / 88 ] simplifiying candidate # 1.679 * * * * [progress]: [ 75 / 88 ] simplifiying candidate # 1.679 * * * * [progress]: [ 76 / 88 ] simplifiying candidate # 1.679 * * * * [progress]: [ 77 / 88 ] simplifiying candidate # 1.679 * * * * [progress]: [ 78 / 88 ] simplifiying candidate # 1.679 * * * * [progress]: [ 79 / 88 ] simplifiying candidate # 1.679 * * * * [progress]: [ 80 / 88 ] simplifiying candidate # 1.679 * * * * [progress]: [ 81 / 88 ] simplifiying candidate # 1.679 * * * * [progress]: [ 82 / 88 ] simplifiying candidate # 1.679 * * * * [progress]: [ 83 / 88 ] simplifiying candidate # 1.679 * * * * [progress]: [ 84 / 88 ] simplifiying candidate # 1.679 * * * * [progress]: [ 85 / 88 ] simplifiying candidate #real (real->posit16 (- (- x (/ 1/8 x)) 1/2))))> 1.679 * * * * [progress]: [ 86 / 88 ] simplifiying candidate # 1.679 * * * * [progress]: [ 87 / 88 ] simplifiying candidate # 1.679 * * * * [progress]: [ 88 / 88 ] simplifiying candidate # 1.681 * [simplify]: Simplifying: (fma (* (cbrt (- x (/ 1/8 x))) (cbrt (- x (/ 1/8 x)))) (cbrt (- x (/ 1/8 x))) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma (* (cbrt (- x (/ 1/8 x))) (cbrt (- x (/ 1/8 x)))) (cbrt (- x (/ 1/8 x))) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma (* (cbrt (- x (/ 1/8 x))) (cbrt (- x (/ 1/8 x)))) (cbrt (- x (/ 1/8 x))) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (fma (sqrt (- x (/ 1/8 x))) (sqrt (- x (/ 1/8 x))) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma (sqrt (- x (/ 1/8 x))) (sqrt (- x (/ 1/8 x))) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma (sqrt (- x (/ 1/8 x))) (sqrt (- x (/ 1/8 x))) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (fma 1 (- x (/ 1/8 x)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma 1 (- x (/ 1/8 x)) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma 1 (- x (/ 1/8 x)) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (fma (+ (sqrt x) (sqrt (/ 1/8 x))) (- (sqrt x) (sqrt (/ 1/8 x))) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma (+ (sqrt x) (sqrt (/ 1/8 x))) (- (sqrt x) (sqrt (/ 1/8 x))) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma (+ (sqrt x) (sqrt (/ 1/8 x))) (- (sqrt x) (sqrt (/ 1/8 x))) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (fma (+ (sqrt x) (/ (sqrt 1/8) (sqrt x))) (- (sqrt x) (/ (sqrt 1/8) (sqrt x))) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma (+ (sqrt x) (/ (sqrt 1/8) (sqrt x))) (- (sqrt x) (/ (sqrt 1/8) (sqrt x))) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma (+ (sqrt x) (/ (sqrt 1/8) (sqrt x))) (- (sqrt x) (/ (sqrt 1/8) (sqrt x))) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (fma 1 (- x (/ 1/8 x)) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))))) (fma (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)))) (fma 1 (- x (/ 1/8 x)) (- (* (sqrt 1/2) (sqrt 1/2)))) (fma (- (sqrt 1/2)) (sqrt 1/2) (* (sqrt 1/2) (sqrt 1/2))) (fma 1 (- x (/ 1/8 x)) (- (* 1/2 1))) (fma (- 1/2) 1 (* 1/2 1)) (expm1 (- (- x (/ 1/8 x)) 1/2)) (log1p (- (- x (/ 1/8 x)) 1/2)) (- 1/2) (- 1/2) (- 1/2) (- 1/2) (- 1/2) (- 1/2) (/ (/ (exp x) (exp (/ 1/8 x))) (exp 1/2)) (/ (exp (- x (/ 1/8 x))) (exp 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)) (- (pow (- x (/ 1/8 x)) 3) (pow 1/2 3)) (+ (* (- x (/ 1/8 x)) (- x (/ 1/8 x))) (+ (* 1/2 1/2) (* (- x (/ 1/8 x)) 1/2))) (- 1/2) (- (* (- x (/ 1/8 x)) (- x (/ 1/8 x))) (* 1/2 1/2)) (+ (- x (/ 1/8 x)) 1/2) (+ (sqrt (- x (/ 1/8 x))) (sqrt 1/2)) (- (sqrt (- x (/ 1/8 x))) (sqrt 1/2)) (- (- x (/ 1/8 x)) 1/2) (- (- x (/ 1/8 x)) 1/2) (- (fma (- (cbrt (/ 1/8 x))) (* (cbrt (/ 1/8 x)) (cbrt (/ 1/8 x))) (* (cbrt (/ 1/8 x)) (* (cbrt (/ 1/8 x)) (cbrt (/ 1/8 x))))) 1/2) (- (fma (- (sqrt (/ 1/8 x))) (sqrt (/ 1/8 x)) (* (sqrt (/ 1/8 x)) (sqrt (/ 1/8 x)))) 1/2) (- (fma (- (/ (cbrt 1/8) (cbrt x))) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (cbrt x) (cbrt x))) (* (/ (cbrt 1/8) (cbrt x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (cbrt x) (cbrt x))))) 1/2) (- (fma (- (/ (cbrt 1/8) (sqrt x))) (/ (* (cbrt 1/8) (cbrt 1/8)) (sqrt x)) (* (/ (cbrt 1/8) (sqrt x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (sqrt x)))) 1/2) (- (fma (- (/ (cbrt 1/8) x)) (/ (* (cbrt 1/8) (cbrt 1/8)) 1) (* (/ (cbrt 1/8) x) (/ (* (cbrt 1/8) (cbrt 1/8)) 1))) 1/2) (- (fma (- (/ (sqrt 1/8) (cbrt x))) (/ (sqrt 1/8) (* (cbrt x) (cbrt x))) (* (/ (sqrt 1/8) (cbrt x)) (/ (sqrt 1/8) (* (cbrt x) (cbrt x))))) 1/2) (- (fma (- (/ (sqrt 1/8) (sqrt x))) (/ (sqrt 1/8) (sqrt x)) (* (/ (sqrt 1/8) (sqrt x)) (/ (sqrt 1/8) (sqrt x)))) 1/2) (- (fma (- (/ (sqrt 1/8) x)) (/ (sqrt 1/8) 1) (* (/ (sqrt 1/8) x) (/ (sqrt 1/8) 1))) 1/2) (- (fma (- (/ 1/8 (cbrt x))) (/ 1 (* (cbrt x) (cbrt x))) (* (/ 1/8 (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))))) 1/2) (- (fma (- (/ 1/8 (sqrt x))) (/ 1 (sqrt x)) (* (/ 1/8 (sqrt x)) (/ 1 (sqrt x)))) 1/2) (- (fma (- (/ 1/8 x)) (/ 1 1) (* (/ 1/8 x) (/ 1 1))) 1/2) (- (fma (- (/ 1/8 x)) 1 (* (/ 1/8 x) 1)) 1/2) (- (fma (- (/ 1 x)) 1/8 (* (/ 1 x) 1/8)) 1/2) (- (fma (- (cbrt (/ 1/8 x))) (* (cbrt (/ 1/8 x)) (cbrt (/ 1/8 x))) (* (cbrt (/ 1/8 x)) (* (cbrt (/ 1/8 x)) (cbrt (/ 1/8 x))))) 1/2) (- (fma (- (sqrt (/ 1/8 x))) (sqrt (/ 1/8 x)) (* (sqrt (/ 1/8 x)) (sqrt (/ 1/8 x)))) 1/2) (- (fma (- (/ (cbrt 1/8) (cbrt x))) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (cbrt x) (cbrt x))) (* (/ (cbrt 1/8) (cbrt x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (cbrt x) (cbrt x))))) 1/2) (- (fma (- (/ (cbrt 1/8) (sqrt x))) (/ (* (cbrt 1/8) (cbrt 1/8)) (sqrt x)) (* (/ (cbrt 1/8) (sqrt x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (sqrt x)))) 1/2) (- (fma (- (/ (cbrt 1/8) x)) (/ (* (cbrt 1/8) (cbrt 1/8)) 1) (* (/ (cbrt 1/8) x) (/ (* (cbrt 1/8) (cbrt 1/8)) 1))) 1/2) (- (fma (- (/ (sqrt 1/8) (cbrt x))) (/ (sqrt 1/8) (* (cbrt x) (cbrt x))) (* (/ (sqrt 1/8) (cbrt x)) (/ (sqrt 1/8) (* (cbrt x) (cbrt x))))) 1/2) (- (fma (- (/ (sqrt 1/8) (sqrt x))) (/ (sqrt 1/8) (sqrt x)) (* (/ (sqrt 1/8) (sqrt x)) (/ (sqrt 1/8) (sqrt x)))) 1/2) (- (fma (- (/ (sqrt 1/8) x)) (/ (sqrt 1/8) 1) (* (/ (sqrt 1/8) x) (/ (sqrt 1/8) 1))) 1/2) (- (fma (- (/ 1/8 (cbrt x))) (/ 1 (* (cbrt x) (cbrt x))) (* (/ 1/8 (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))))) 1/2) (- (fma (- (/ 1/8 (sqrt x))) (/ 1 (sqrt x)) (* (/ 1/8 (sqrt x)) (/ 1 (sqrt x)))) 1/2) (- (fma (- (/ 1/8 x)) (/ 1 1) (* (/ 1/8 x) (/ 1 1))) 1/2) (- (fma (- (/ 1/8 x)) 1 (* (/ 1/8 x) 1)) 1/2) (- (fma (- (/ 1 x)) 1/8 (* (/ 1 x) 1/8)) 1/2) (- (fma (- (cbrt (/ 1/8 x))) (* (cbrt (/ 1/8 x)) (cbrt (/ 1/8 x))) (* (cbrt (/ 1/8 x)) (* (cbrt (/ 1/8 x)) (cbrt (/ 1/8 x))))) 1/2) (- (fma (- (sqrt (/ 1/8 x))) (sqrt (/ 1/8 x)) (* (sqrt (/ 1/8 x)) (sqrt (/ 1/8 x)))) 1/2) (- (fma (- (/ (cbrt 1/8) (cbrt x))) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (cbrt x) (cbrt x))) (* (/ (cbrt 1/8) (cbrt x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (cbrt x) (cbrt x))))) 1/2) (- (fma (- (/ (cbrt 1/8) (sqrt x))) (/ (* (cbrt 1/8) (cbrt 1/8)) (sqrt x)) (* (/ (cbrt 1/8) (sqrt x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (sqrt x)))) 1/2) (- (fma (- (/ (cbrt 1/8) x)) (/ (* (cbrt 1/8) (cbrt 1/8)) 1) (* (/ (cbrt 1/8) x) (/ (* (cbrt 1/8) (cbrt 1/8)) 1))) 1/2) (- (fma (- (/ (sqrt 1/8) (cbrt x))) (/ (sqrt 1/8) (* (cbrt x) (cbrt x))) (* (/ (sqrt 1/8) (cbrt x)) (/ (sqrt 1/8) (* (cbrt x) (cbrt x))))) 1/2) (- (fma (- (/ (sqrt 1/8) (sqrt x))) (/ (sqrt 1/8) (sqrt x)) (* (/ (sqrt 1/8) (sqrt x)) (/ (sqrt 1/8) (sqrt x)))) 1/2) (- (fma (- (/ (sqrt 1/8) x)) (/ (sqrt 1/8) 1) (* (/ (sqrt 1/8) x) (/ (sqrt 1/8) 1))) 1/2) (- (fma (- (/ 1/8 (cbrt x))) (/ 1 (* (cbrt x) (cbrt x))) (* (/ 1/8 (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))))) 1/2) (- (fma (- (/ 1/8 (sqrt x))) (/ 1 (sqrt x)) (* (/ 1/8 (sqrt x)) (/ 1 (sqrt x)))) 1/2) (- (fma (- (/ 1/8 x)) (/ 1 1) (* (/ 1/8 x) (/ 1 1))) 1/2) (- (fma (- (/ 1/8 x)) 1 (* (/ 1/8 x) 1)) 1/2) (- (fma (- (/ 1 x)) 1/8 (* (/ 1 x) 1/8)) 1/2) (- (- (/ 1/8 x)) 1/2) (- (- (/ 1/8 x)) 1/2) (+ (/ 1/8 x) 1/2) (- 1/2) (real->posit16 (- (- x (/ 1/8 x)) 1/2)) (- x (+ (* 1/8 (/ 1 x)) 1/2)) (- x (+ (* 1/8 (/ 1 x)) 1/2)) (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1.682 * * [simplify]: iteration 0: 156 enodes 1.769 * * [simplify]: iteration 1: 384 enodes 1.960 * * [simplify]: iteration 2: 1014 enodes 2.321 * * [simplify]: iteration complete: 2000 enodes 2.321 * * [simplify]: Extracting #0: cost 28 inf + 0 2.322 * * [simplify]: Extracting #1: cost 175 inf + 2 2.324 * * [simplify]: Extracting #2: cost 417 inf + 1722 2.329 * * [simplify]: Extracting #3: cost 328 inf + 26362 2.353 * * [simplify]: Extracting #4: cost 70 inf + 77956 2.376 * * [simplify]: Extracting #5: cost 1 inf + 93995 2.400 * * [simplify]: Extracting #6: cost 0 inf + 94117 2.439 * [simplify]: Simplified to: (fma (* (cbrt (+ (/ -1/8 x) x)) (cbrt (+ (/ -1/8 x) x))) (cbrt (+ (/ -1/8 x) x)) -1/2) 0 (fma (* (cbrt (+ (/ -1/8 x) x)) (cbrt (+ (/ -1/8 x) x))) (cbrt (+ (/ -1/8 x) x)) -1/2) 0 (fma (* (cbrt (+ (/ -1/8 x) x)) (cbrt (+ (/ -1/8 x) x))) (cbrt (+ (/ -1/8 x) x)) -1/2) 0 (+ (+ (/ -1/8 x) x) -1/2) 0 (+ (+ (/ -1/8 x) x) -1/2) 0 (+ (+ (/ -1/8 x) x) -1/2) 0 (+ (+ (/ -1/8 x) x) -1/2) 0 (+ (+ (/ -1/8 x) x) -1/2) 0 (+ (+ (/ -1/8 x) x) -1/2) 0 (fma (+ (sqrt x) (sqrt (/ 1/8 x))) (- (sqrt x) (sqrt (/ 1/8 x))) -1/2) 0 (fma (+ (sqrt x) (sqrt (/ 1/8 x))) (- (sqrt x) (sqrt (/ 1/8 x))) -1/2) 0 (fma (+ (sqrt x) (sqrt (/ 1/8 x))) (- (sqrt x) (sqrt (/ 1/8 x))) -1/2) 0 (fma (+ (/ (sqrt 1/8) (sqrt x)) (sqrt x)) (- (sqrt x) (/ (sqrt 1/8) (sqrt x))) -1/2) 0 (fma (+ (/ (sqrt 1/8) (sqrt x)) (sqrt x)) (- (sqrt x) (/ (sqrt 1/8) (sqrt x))) -1/2) 0 (fma (+ (/ (sqrt 1/8) (sqrt x)) (sqrt x)) (- (sqrt x) (/ (sqrt 1/8) (sqrt x))) -1/2) 0 (+ (+ (/ -1/8 x) x) -1/2) 0 (+ (+ (/ -1/8 x) x) -1/2) 0 (+ (+ (/ -1/8 x) x) -1/2) 0 (expm1 (+ (+ (/ -1/8 x) x) -1/2)) (log1p (+ (+ (/ -1/8 x) x) -1/2)) -1/2 -1/2 -1/2 -1/2 -1/2 -1/2 (exp (+ (+ (/ -1/8 x) x) -1/2)) (exp (+ (+ (/ -1/8 x) x) -1/2)) (log (+ (+ (/ -1/8 x) x) -1/2)) (exp (+ (+ (/ -1/8 x) x) -1/2)) (* (cbrt (+ (+ (/ -1/8 x) x) -1/2)) (cbrt (+ (+ (/ -1/8 x) x) -1/2))) (cbrt (+ (+ (/ -1/8 x) x) -1/2)) (* (* (+ (+ (/ -1/8 x) x) -1/2) (+ (+ (/ -1/8 x) x) -1/2)) (+ (+ (/ -1/8 x) x) -1/2)) (sqrt (+ (+ (/ -1/8 x) x) -1/2)) (sqrt (+ (+ (/ -1/8 x) x) -1/2)) (fma (* (+ (/ -1/8 x) x) (+ (/ -1/8 x) x)) (+ (/ -1/8 x) x) -1/8) (fma (+ (/ -1/8 x) x) (+ (/ -1/8 x) x) (fma 1/2 (+ (/ -1/8 x) x) 1/4)) -1/2 (fma (+ (/ -1/8 x) x) (+ (/ -1/8 x) x) -1/4) (+ (+ 1/2 x) (/ -1/8 x)) (+ (sqrt (+ (/ -1/8 x) x)) (sqrt 1/2)) (- (sqrt (+ (/ -1/8 x) x)) (sqrt 1/2)) (+ (+ (/ -1/8 x) x) -1/2) (+ (+ (/ -1/8 x) x) -1/2) (fma (/ 1/8 x) -1 (- (/ 1/8 x) 1/2)) (fma (/ 1/8 x) -1 (- (/ 1/8 x) 1/2)) (+ (/ (- (/ 1/8 (cbrt x))) (* (cbrt x) (cbrt x))) (- (/ (/ 1/8 (cbrt x)) (* (cbrt x) (cbrt x))) 1/2)) (fma (/ (sqrt 1/8) (sqrt x)) (+ (- (/ (sqrt 1/8) (sqrt x))) (/ (sqrt 1/8) (sqrt x))) -1/2) (fma (/ 1/8 x) -1 (- (/ 1/8 x) 1/2)) (+ (/ (- (/ 1/8 (cbrt x))) (* (cbrt x) (cbrt x))) (- (/ (/ 1/8 (cbrt x)) (* (cbrt x) (cbrt x))) 1/2)) (fma (/ (sqrt 1/8) (sqrt x)) (+ (- (/ (sqrt 1/8) (sqrt x))) (/ (sqrt 1/8) (sqrt x))) -1/2) (fma (/ 1/8 x) -1 (- (/ 1/8 x) 1/2)) (fma (/ (/ 1 (cbrt x)) (cbrt x)) (+ (/ -1/8 (cbrt x)) (/ 1/8 (cbrt x))) -1/2) (fma (/ 1 (sqrt x)) (+ (/ -1/8 (sqrt x)) (/ 1/8 (sqrt x))) -1/2) (fma (/ 1/8 x) -1 (- (/ 1/8 x) 1/2)) (fma (/ 1/8 x) -1 (- (/ 1/8 x) 1/2)) (fma (/ 1/8 x) -1 (- (/ 1/8 x) 1/2)) (fma (/ 1/8 x) -1 (- (/ 1/8 x) 1/2)) (fma (/ 1/8 x) -1 (- (/ 1/8 x) 1/2)) (+ (/ (- (/ 1/8 (cbrt x))) (* (cbrt x) (cbrt x))) (- (/ (/ 1/8 (cbrt x)) (* (cbrt x) (cbrt x))) 1/2)) (fma (/ (sqrt 1/8) (sqrt x)) (+ (- (/ (sqrt 1/8) (sqrt x))) (/ (sqrt 1/8) (sqrt x))) -1/2) (fma (/ 1/8 x) -1 (- (/ 1/8 x) 1/2)) (+ (/ (- (/ 1/8 (cbrt x))) (* (cbrt x) (cbrt x))) (- (/ (/ 1/8 (cbrt x)) (* (cbrt x) (cbrt x))) 1/2)) (fma (/ (sqrt 1/8) (sqrt x)) (+ (- (/ (sqrt 1/8) (sqrt x))) (/ (sqrt 1/8) (sqrt x))) -1/2) (fma (/ 1/8 x) -1 (- (/ 1/8 x) 1/2)) (fma (/ (/ 1 (cbrt x)) (cbrt x)) (+ (/ -1/8 (cbrt x)) (/ 1/8 (cbrt x))) -1/2) (fma (/ 1 (sqrt x)) (+ (/ -1/8 (sqrt x)) (/ 1/8 (sqrt x))) -1/2) (fma (/ 1/8 x) -1 (- (/ 1/8 x) 1/2)) (fma (/ 1/8 x) -1 (- (/ 1/8 x) 1/2)) (fma (/ 1/8 x) -1 (- (/ 1/8 x) 1/2)) (fma (/ 1/8 x) -1 (- (/ 1/8 x) 1/2)) (fma (/ 1/8 x) -1 (- (/ 1/8 x) 1/2)) (+ (/ (- (/ 1/8 (cbrt x))) (* (cbrt x) (cbrt x))) (- (/ (/ 1/8 (cbrt x)) (* (cbrt x) (cbrt x))) 1/2)) (fma (/ (sqrt 1/8) (sqrt x)) (+ (- (/ (sqrt 1/8) (sqrt x))) (/ (sqrt 1/8) (sqrt x))) -1/2) (fma (/ 1/8 x) -1 (- (/ 1/8 x) 1/2)) (+ (/ (- (/ 1/8 (cbrt x))) (* (cbrt x) (cbrt x))) (- (/ (/ 1/8 (cbrt x)) (* (cbrt x) (cbrt x))) 1/2)) (fma (/ (sqrt 1/8) (sqrt x)) (+ (- (/ (sqrt 1/8) (sqrt x))) (/ (sqrt 1/8) (sqrt x))) -1/2) (fma (/ 1/8 x) -1 (- (/ 1/8 x) 1/2)) (fma (/ (/ 1 (cbrt x)) (cbrt x)) (+ (/ -1/8 (cbrt x)) (/ 1/8 (cbrt x))) -1/2) (fma (/ 1 (sqrt x)) (+ (/ -1/8 (sqrt x)) (/ 1/8 (sqrt x))) -1/2) (fma (/ 1/8 x) -1 (- (/ 1/8 x) 1/2)) (fma (/ 1/8 x) -1 (- (/ 1/8 x) 1/2)) (fma (/ 1/8 x) -1 (- (/ 1/8 x) 1/2)) (+ (/ -1/8 x) -1/2) (+ (/ -1/8 x) -1/2) (+ 1/2 (/ 1/8 x)) -1/2 (real->posit16 (+ (+ (/ -1/8 x) x) -1/2)) (+ (+ (/ -1/8 x) x) -1/2) (+ (+ (/ -1/8 x) x) -1/2) (+ (+ (/ -1/8 x) x) -1/2) 2.450 * * * [progress]: adding candidates to table 2.808 * * [progress]: iteration 3 / 4 2.808 * * * [progress]: picking best candidate 2.812 * * * * [pick]: Picked # 2.812 * * * [progress]: localizing error 2.829 * * * [progress]: generating rewritten candidates 2.829 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.842 * * * [progress]: generating series expansions 2.842 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.842 * [backup-simplify]: Simplify (sqrt (* (- x 1) x)) into (sqrt (* x (- x 1))) 2.842 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1))) in (x) around 0 2.842 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 2.842 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 2.842 * [taylor]: Taking taylor expansion of x in x 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify 1 into 1 2.842 * [taylor]: Taking taylor expansion of (- x 1) in x 2.842 * [taylor]: Taking taylor expansion of x in x 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify 1 into 1 2.842 * [taylor]: Taking taylor expansion of 1 in x 2.842 * [backup-simplify]: Simplify 1 into 1 2.843 * [backup-simplify]: Simplify (- 1) into -1 2.843 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.843 * [backup-simplify]: Simplify (* 0 -1) into 0 2.843 * [backup-simplify]: Simplify (- 0) into 0 2.844 * [backup-simplify]: Simplify (+ 1 0) into 1 2.844 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.845 * [backup-simplify]: Simplify (sqrt 0) into 0 2.846 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.846 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 2.846 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 2.846 * [taylor]: Taking taylor expansion of x in x 2.846 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify 1 into 1 2.846 * [taylor]: Taking taylor expansion of (- x 1) in x 2.846 * [taylor]: Taking taylor expansion of x in x 2.846 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify 1 into 1 2.846 * [taylor]: Taking taylor expansion of 1 in x 2.846 * [backup-simplify]: Simplify 1 into 1 2.846 * [backup-simplify]: Simplify (- 1) into -1 2.846 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.847 * [backup-simplify]: Simplify (* 0 -1) into 0 2.847 * [backup-simplify]: Simplify (- 0) into 0 2.847 * [backup-simplify]: Simplify (+ 1 0) into 1 2.847 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.848 * [backup-simplify]: Simplify (sqrt 0) into 0 2.849 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.849 * [backup-simplify]: Simplify (- 0) into 0 2.849 * [backup-simplify]: Simplify (+ 0 0) into 0 2.850 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 2.852 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.852 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.852 * [backup-simplify]: Simplify (- 0) into 0 2.852 * [backup-simplify]: Simplify (+ 0 0) into 0 2.853 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 2.855 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.855 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.856 * [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))))))) 2.856 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 x) 1) (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1) x)) 2.856 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in (x) around 0 2.856 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 2.856 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 2.856 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 2.856 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.856 * [taylor]: Taking taylor expansion of x in x 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify 1 into 1 2.856 * [backup-simplify]: Simplify (/ 1 1) into 1 2.856 * [taylor]: Taking taylor expansion of 1 in x 2.856 * [backup-simplify]: Simplify 1 into 1 2.856 * [taylor]: Taking taylor expansion of x in x 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify 1 into 1 2.857 * [backup-simplify]: Simplify (+ 1 0) into 1 2.857 * [backup-simplify]: Simplify (/ 1 1) into 1 2.857 * [backup-simplify]: Simplify (sqrt 1) into 1 2.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.858 * [backup-simplify]: Simplify (- 1) into -1 2.858 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.859 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 2.859 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 2.859 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 2.859 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 2.859 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 2.859 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.859 * [taylor]: Taking taylor expansion of x in x 2.859 * [backup-simplify]: Simplify 0 into 0 2.859 * [backup-simplify]: Simplify 1 into 1 2.859 * [backup-simplify]: Simplify (/ 1 1) into 1 2.859 * [taylor]: Taking taylor expansion of 1 in x 2.859 * [backup-simplify]: Simplify 1 into 1 2.859 * [taylor]: Taking taylor expansion of x in x 2.860 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify 1 into 1 2.860 * [backup-simplify]: Simplify (+ 1 0) into 1 2.860 * [backup-simplify]: Simplify (/ 1 1) into 1 2.860 * [backup-simplify]: Simplify (sqrt 1) into 1 2.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.861 * [backup-simplify]: Simplify (- 1) into -1 2.861 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.862 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 2.862 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 2.862 * [backup-simplify]: Simplify 1 into 1 2.862 * [backup-simplify]: Simplify -1/2 into -1/2 2.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.863 * [backup-simplify]: Simplify (- 0) into 0 2.863 * [backup-simplify]: Simplify (+ 0 0) into 0 2.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)))) into 0 2.865 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 2.865 * [backup-simplify]: Simplify -1/8 into -1/8 2.865 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 2.865 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 (- x)) 1) (/ 1 (- x)))) into (sqrt (/ (+ (/ 1 x) 1) x)) 2.865 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) x)) in (x) around 0 2.865 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) x)) in x 2.865 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x 2.865 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 2.865 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.865 * [taylor]: Taking taylor expansion of x in x 2.865 * [backup-simplify]: Simplify 0 into 0 2.865 * [backup-simplify]: Simplify 1 into 1 2.865 * [backup-simplify]: Simplify (/ 1 1) into 1 2.865 * [taylor]: Taking taylor expansion of 1 in x 2.865 * [backup-simplify]: Simplify 1 into 1 2.865 * [taylor]: Taking taylor expansion of x in x 2.865 * [backup-simplify]: Simplify 0 into 0 2.866 * [backup-simplify]: Simplify 1 into 1 2.866 * [backup-simplify]: Simplify (+ 1 0) into 1 2.866 * [backup-simplify]: Simplify (/ 1 1) into 1 2.866 * [backup-simplify]: Simplify (sqrt 1) into 1 2.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.867 * [backup-simplify]: Simplify (+ 0 1) into 1 2.868 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.869 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 2.869 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) x)) in x 2.869 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x 2.869 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 2.869 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.869 * [taylor]: Taking taylor expansion of x in x 2.869 * [backup-simplify]: Simplify 0 into 0 2.869 * [backup-simplify]: Simplify 1 into 1 2.869 * [backup-simplify]: Simplify (/ 1 1) into 1 2.869 * [taylor]: Taking taylor expansion of 1 in x 2.869 * [backup-simplify]: Simplify 1 into 1 2.869 * [taylor]: Taking taylor expansion of x in x 2.869 * [backup-simplify]: Simplify 0 into 0 2.870 * [backup-simplify]: Simplify 1 into 1 2.870 * [backup-simplify]: Simplify (+ 1 0) into 1 2.870 * [backup-simplify]: Simplify (/ 1 1) into 1 2.871 * [backup-simplify]: Simplify (sqrt 1) into 1 2.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.872 * [backup-simplify]: Simplify (+ 0 1) into 1 2.873 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.874 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 2.874 * [backup-simplify]: Simplify 1 into 1 2.874 * [backup-simplify]: Simplify 1/2 into 1/2 2.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.875 * [backup-simplify]: Simplify (+ 0 0) into 0 2.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.877 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 2.877 * [backup-simplify]: Simplify -1/8 into -1/8 2.878 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 (- x))) (+ 1/2 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 1/8 (/ 1 x)) 1/2) x) 2.878 * * * [progress]: simplifying candidates 2.878 * * * * [progress]: [ 1 / 19 ] simplifiying candidate # 2.878 * * * * [progress]: [ 2 / 19 ] simplifiying candidate # 2.878 * * * * [progress]: [ 3 / 19 ] simplifiying candidate # 2.878 * * * * [progress]: [ 4 / 19 ] simplifiying candidate # 2.878 * * * * [progress]: [ 5 / 19 ] simplifiying candidate # 2.878 * * * * [progress]: [ 6 / 19 ] simplifiying candidate # 2.878 * * * * [progress]: [ 7 / 19 ] simplifiying candidate # 2.878 * * * * [progress]: [ 8 / 19 ] simplifiying candidate # 2.878 * * * * [progress]: [ 9 / 19 ] simplifiying candidate # 2.878 * * * * [progress]: [ 10 / 19 ] simplifiying candidate # 2.878 * * * * [progress]: [ 11 / 19 ] simplifiying candidate # 2.878 * * * * [progress]: [ 12 / 19 ] simplifiying candidate # 2.878 * * * * [progress]: [ 13 / 19 ] simplifiying candidate # 2.878 * * * * [progress]: [ 14 / 19 ] simplifiying candidate # 2.878 * * * * [progress]: [ 15 / 19 ] simplifiying candidate # 2.879 * * * * [progress]: [ 16 / 19 ] simplifiying candidate #real (real->posit16 (sqrt (* (- x 1) x)))))> 2.879 * * * * [progress]: [ 17 / 19 ] simplifiying candidate # 2.879 * * * * [progress]: [ 18 / 19 ] simplifiying candidate # 2.879 * * * * [progress]: [ 19 / 19 ] simplifiying candidate # 2.879 * [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) 2.880 * * [simplify]: iteration 0: 53 enodes 2.909 * * [simplify]: iteration 1: 119 enodes 2.980 * * [simplify]: iteration 2: 265 enodes 3.086 * * [simplify]: iteration 3: 669 enodes 3.719 * * [simplify]: iteration 4: 1841 enodes 4.087 * * [simplify]: iteration complete: 2000 enodes 4.087 * * [simplify]: Extracting #0: cost 19 inf + 0 4.087 * * [simplify]: Extracting #1: cost 98 inf + 1 4.090 * * [simplify]: Extracting #2: cost 220 inf + 1006 4.095 * * [simplify]: Extracting #3: cost 164 inf + 12902 4.103 * * [simplify]: Extracting #4: cost 57 inf + 28260 4.118 * * [simplify]: Extracting #5: cost 14 inf + 43492 4.136 * * [simplify]: Extracting #6: cost 0 inf + 48518 4.148 * * [simplify]: Extracting #7: cost 0 inf + 48438 4.159 * [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)))) (- (fma (- +nan.0 (* (* x x) +nan.0)) x (* (* x x) +nan.0))) (- (+ -1/2 x) (/ 1/8 x)) (+ (- 1/2 x) (/ 1/8 x)) 4.160 * * * [progress]: adding candidates to table 4.214 * [progress]: [Phase 3 of 3] Extracting. 4.214 * * [regime]: Finding splitpoints for: (# # #) 4.215 * * * [regime-changes]: Trying 2 branch expressions: ((* (sqrt (- x 1)) (sqrt x)) x) 4.215 * * * * [regimes]: Trying to branch on (* (sqrt (- x 1)) (sqrt x)) from (# # #) 4.246 * * * * [regimes]: Trying to branch on x from (# # #) 4.267 * * * [regime]: Found split indices: #