1.016 * [progress]: [Phase 1 of 3] Setting up. 0.004 * * * [progress]: [1/2] Preparing points 0.231 * * * [progress]: [2/2] Setting up program. 0.265 * [progress]: [Phase 2 of 3] Improving. 0.265 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.267 * [simplify]: Simplifying: (* (sqrt (- x 1)) (sqrt x)) 0.268 * * [simplify]: iteration 0: 6 enodes 0.272 * * [simplify]: iteration 1: 12 enodes 0.274 * * [simplify]: iteration 2: 13 enodes 0.277 * * [simplify]: iteration complete: 13 enodes 0.277 * * [simplify]: Extracting #0: cost 1 inf + 0 0.277 * * [simplify]: Extracting #1: cost 3 inf + 0 0.277 * * [simplify]: Extracting #2: cost 5 inf + 0 0.278 * * [simplify]: Extracting #3: cost 6 inf + 1 0.278 * * [simplify]: Extracting #4: cost 0 inf + 330 0.278 * [simplify]: Simplified to: (* (sqrt (- x 1)) (sqrt x)) 0.280 * * [progress]: iteration 1 / 4 0.280 * * * [progress]: picking best candidate 0.282 * * * * [pick]: Picked # 0.282 * * * [progress]: localizing error 0.295 * * * [progress]: generating rewritten candidates 0.295 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.321 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.337 * * * [progress]: generating series expansions 0.337 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.343 * [backup-simplify]: Simplify (* (sqrt (- x 1)) (sqrt x)) into (sqrt (* x (- x 1))) 0.343 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1))) in (x) around 0 0.344 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 0.344 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [taylor]: Taking taylor expansion of (- x 1) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [taylor]: Taking taylor expansion of 1 in x 0.344 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (- 1) into -1 0.346 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.346 * [backup-simplify]: Simplify (* 0 -1) into 0 0.346 * [backup-simplify]: Simplify (- 0) into 0 0.347 * [backup-simplify]: Simplify (+ 1 0) into 1 0.356 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 0.357 * [backup-simplify]: Simplify (sqrt 0) into 0 0.358 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.358 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 0.358 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.359 * [taylor]: Taking taylor expansion of (- x 1) in x 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 0.359 * [taylor]: Taking taylor expansion of 1 in x 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (- 1) into -1 0.359 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.359 * [backup-simplify]: Simplify (* 0 -1) into 0 0.360 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify (+ 1 0) into 1 0.360 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 0.361 * [backup-simplify]: Simplify (sqrt 0) into 0 0.362 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.363 * [backup-simplify]: Simplify (- 0) into 0 0.363 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 0.366 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.366 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.367 * [backup-simplify]: Simplify (- 0) into 0 0.367 * [backup-simplify]: Simplify (+ 0 0) into 0 0.368 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 0.370 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.370 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.371 * [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))))))) 0.371 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1) x)) 0.371 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in (x) around 0 0.372 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 0.372 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 0.372 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (/ 1 1) into 1 0.372 * [taylor]: Taking taylor expansion of 1 in x 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (+ 1 0) into 1 0.373 * [backup-simplify]: Simplify (/ 1 1) into 1 0.373 * [backup-simplify]: Simplify (sqrt 1) into 1 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (- 1) into -1 0.374 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.375 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 0.376 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 0.376 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 0.376 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 0.376 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.376 * [backup-simplify]: Simplify (/ 1 1) into 1 0.376 * [taylor]: Taking taylor expansion of 1 in x 0.376 * [backup-simplify]: Simplify 1 into 1 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (+ 1 0) into 1 0.377 * [backup-simplify]: Simplify (/ 1 1) into 1 0.377 * [backup-simplify]: Simplify (sqrt 1) into 1 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (- 1) into -1 0.378 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.379 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 0.379 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify -1/2 into -1/2 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (- 0) into 0 0.380 * [backup-simplify]: Simplify (+ 0 0) into 0 0.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 0.382 * [backup-simplify]: Simplify -1/8 into -1/8 0.382 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 0.382 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) 0.382 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in (x) around 0 0.382 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x 0.382 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 0.382 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify (/ 1 1) into 1 0.382 * [taylor]: Taking taylor expansion of 1 in x 0.382 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (+ 1 0) into 1 0.383 * [backup-simplify]: Simplify (- 1) into -1 0.383 * [backup-simplify]: Simplify (sqrt 0) into 0 0.383 * [backup-simplify]: Simplify (- 1) into -1 0.384 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.384 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.384 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.384 * [taylor]: Taking taylor expansion of -1 in x 0.384 * [backup-simplify]: Simplify -1 into -1 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (/ -1 1) into -1 0.385 * [backup-simplify]: Simplify (sqrt 0) into 0 0.386 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.386 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x 0.386 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 0.386 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (/ 1 1) into 1 0.386 * [taylor]: Taking taylor expansion of 1 in x 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (+ 1 0) into 1 0.387 * [backup-simplify]: Simplify (- 1) into -1 0.387 * [backup-simplify]: Simplify (sqrt 0) into 0 0.387 * [backup-simplify]: Simplify (- 1) into -1 0.388 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.388 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.388 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.388 * [taylor]: Taking taylor expansion of -1 in x 0.388 * [backup-simplify]: Simplify -1 into -1 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (/ -1 1) into -1 0.389 * [backup-simplify]: Simplify (sqrt 0) into 0 0.389 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.390 * [backup-simplify]: Simplify (* 0 0) into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (+ 0 1) into 1 0.394 * [backup-simplify]: Simplify (- 1) into -1 0.395 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.397 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 0.397 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.403 * [backup-simplify]: Simplify (+ 0 0) into 0 0.403 * [backup-simplify]: Simplify (- 0) into 0 0.405 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.408 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 0.408 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.413 * [backup-simplify]: Simplify (+ 0 0) into 0 0.413 * [backup-simplify]: Simplify (- 0) into 0 0.416 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.419 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 0.419 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.420 * [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))))) 0.420 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.420 * [backup-simplify]: Simplify (sqrt (- x 1)) into (sqrt (- x 1)) 0.420 * [approximate]: Taking taylor expansion of (sqrt (- x 1)) in (x) around 0 0.420 * [taylor]: Taking taylor expansion of (sqrt (- x 1)) in x 0.420 * [taylor]: Taking taylor expansion of (- x 1) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.421 * [taylor]: Taking taylor expansion of 1 in x 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (- 1) into -1 0.421 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.421 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.422 * [backup-simplify]: Simplify (- 0) into 0 0.422 * [backup-simplify]: Simplify (+ 1 0) into 1 0.423 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 0.423 * [taylor]: Taking taylor expansion of (sqrt (- x 1)) in x 0.423 * [taylor]: Taking taylor expansion of (- x 1) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [taylor]: Taking taylor expansion of 1 in x 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (- 1) into -1 0.423 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.424 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.424 * [backup-simplify]: Simplify (- 0) into 0 0.424 * [backup-simplify]: Simplify (+ 1 0) into 1 0.425 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 0.426 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.426 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 0.427 * [backup-simplify]: Simplify (- 0) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 0.430 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) 0.431 * [backup-simplify]: Simplify (+ (* (/ 1/8 (sqrt -1)) (pow x 2)) (+ (* (/ 1/2 (sqrt -1)) x) (sqrt -1))) into (+ (* 1/2 (/ x (sqrt -1))) (+ (* 1/8 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 0.431 * [backup-simplify]: Simplify (sqrt (- (/ 1 x) 1)) into (sqrt (- (/ 1 x) 1)) 0.431 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in (x) around 0 0.431 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in x 0.431 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify (/ 1 1) into 1 0.432 * [taylor]: Taking taylor expansion of 1 in x 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify (+ 1 0) into 1 0.432 * [backup-simplify]: Simplify (sqrt 0) into 0 0.433 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.433 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in x 0.433 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (/ 1 1) into 1 0.434 * [taylor]: Taking taylor expansion of 1 in x 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (+ 1 0) into 1 0.435 * [backup-simplify]: Simplify (sqrt 0) into 0 0.435 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (- 1) into -1 0.437 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.438 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.438 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (- 0) into 0 0.439 * [backup-simplify]: Simplify (+ 0 0) into 0 0.442 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.442 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.442 * [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))))) 0.442 * [backup-simplify]: Simplify (sqrt (- (/ 1 (- x)) 1)) into (sqrt (- (+ (/ 1 x) 1))) 0.442 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in (x) around 0 0.442 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 0.442 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (/ 1 1) into 1 0.443 * [taylor]: Taking taylor expansion of 1 in x 0.443 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (+ 1 0) into 1 0.443 * [backup-simplify]: Simplify (- 1) into -1 0.443 * [backup-simplify]: Simplify (sqrt 0) into 0 0.444 * [backup-simplify]: Simplify (- 1) into -1 0.445 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.445 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 0.445 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 0.445 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [taylor]: Taking taylor expansion of 1 in x 0.445 * [backup-simplify]: Simplify 1 into 1 0.446 * [backup-simplify]: Simplify (+ 1 0) into 1 0.446 * [backup-simplify]: Simplify (- 1) into -1 0.446 * [backup-simplify]: Simplify (sqrt 0) into 0 0.446 * [backup-simplify]: Simplify (- 1) into -1 0.447 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (+ 0 1) into 1 0.451 * [backup-simplify]: Simplify (- 1) into -1 0.453 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.453 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (+ 0 0) into 0 0.454 * [backup-simplify]: Simplify (- 0) into 0 0.457 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.457 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.457 * [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))))) 0.457 * * * [progress]: simplifying candidates 0.457 * * * * [progress]: [ 1 / 67 ] simplifiying candidate # 0.457 * * * * [progress]: [ 2 / 67 ] simplifiying candidate # 0.457 * * * * [progress]: [ 3 / 67 ] simplifiying candidate # 0.458 * * * * [progress]: [ 4 / 67 ] simplifiying candidate # 0.458 * * * * [progress]: [ 5 / 67 ] simplifiying candidate # 0.458 * * * * [progress]: [ 6 / 67 ] simplifiying candidate # 0.458 * * * * [progress]: [ 7 / 67 ] simplifiying candidate # 0.458 * * * * [progress]: [ 8 / 67 ] simplifiying candidate # 0.458 * * * * [progress]: [ 9 / 67 ] simplifiying candidate # 0.458 * * * * [progress]: [ 10 / 67 ] simplifiying candidate # 0.458 * * * * [progress]: [ 11 / 67 ] simplifiying candidate # 0.458 * * * * [progress]: [ 12 / 67 ] simplifiying candidate # 0.458 * * * * [progress]: [ 13 / 67 ] simplifiying candidate # 0.458 * * * * [progress]: [ 14 / 67 ] simplifiying candidate # 0.458 * * * * [progress]: [ 15 / 67 ] simplifiying candidate # 0.458 * * * * [progress]: [ 16 / 67 ] simplifiying candidate # 0.458 * * * * [progress]: [ 17 / 67 ] simplifiying candidate # 0.458 * * * * [progress]: [ 18 / 67 ] simplifiying candidate # 0.458 * * * * [progress]: [ 19 / 67 ] simplifiying candidate # 0.458 * * * * [progress]: [ 20 / 67 ] simplifiying candidate # 0.458 * * * * [progress]: [ 21 / 67 ] simplifiying candidate # 0.458 * * * * [progress]: [ 22 / 67 ] simplifiying candidate # 0.458 * * * * [progress]: [ 23 / 67 ] simplifiying candidate # 0.458 * * * * [progress]: [ 24 / 67 ] simplifiying candidate # 0.458 * * * * [progress]: [ 25 / 67 ] simplifiying candidate # 0.458 * * * * [progress]: [ 26 / 67 ] simplifiying candidate # 0.458 * * * * [progress]: [ 27 / 67 ] simplifiying candidate # 0.458 * * * * [progress]: [ 28 / 67 ] simplifiying candidate # 0.458 * * * * [progress]: [ 29 / 67 ] simplifiying candidate # 0.458 * * * * [progress]: [ 30 / 67 ] simplifiying candidate # 0.459 * * * * [progress]: [ 31 / 67 ] simplifiying candidate # 0.459 * * * * [progress]: [ 32 / 67 ] simplifiying candidate # 0.459 * * * * [progress]: [ 33 / 67 ] simplifiying candidate # 0.459 * * * * [progress]: [ 34 / 67 ] simplifiying candidate # 0.459 * * * * [progress]: [ 35 / 67 ] simplifiying candidate # 0.459 * * * * [progress]: [ 36 / 67 ] simplifiying candidate # 0.459 * * * * [progress]: [ 37 / 67 ] simplifiying candidate # 0.459 * * * * [progress]: [ 38 / 67 ] simplifiying candidate #real (real->posit16 (* (sqrt (- x 1)) (sqrt x)))))> 0.459 * * * * [progress]: [ 39 / 67 ] simplifiying candidate # 0.459 * * * * [progress]: [ 40 / 67 ] simplifiying candidate # 0.459 * * * * [progress]: [ 41 / 67 ] simplifiying candidate # 0.459 * * * * [progress]: [ 42 / 67 ] simplifiying candidate # 0.459 * * * * [progress]: [ 43 / 67 ] simplifiying candidate # 0.459 * * * * [progress]: [ 44 / 67 ] simplifiying candidate # 0.459 * * * * [progress]: [ 45 / 67 ] simplifiying candidate # 0.459 * * * * [progress]: [ 46 / 67 ] simplifiying candidate # 0.459 * * * * [progress]: [ 47 / 67 ] simplifiying candidate # 0.459 * * * * [progress]: [ 48 / 67 ] simplifiying candidate # 0.459 * * * * [progress]: [ 49 / 67 ] simplifiying candidate # 0.459 * * * * [progress]: [ 50 / 67 ] simplifiying candidate # 0.459 * * * * [progress]: [ 51 / 67 ] simplifiying candidate # 0.459 * * * * [progress]: [ 52 / 67 ] simplifiying candidate # 0.459 * * * * [progress]: [ 53 / 67 ] simplifiying candidate # 0.459 * * * * [progress]: [ 54 / 67 ] simplifiying candidate # 0.459 * * * * [progress]: [ 55 / 67 ] simplifiying candidate # 0.459 * * * * [progress]: [ 56 / 67 ] simplifiying candidate # 0.459 * * * * [progress]: [ 57 / 67 ] simplifiying candidate # 0.460 * * * * [progress]: [ 58 / 67 ] simplifiying candidate # 0.460 * * * * [progress]: [ 59 / 67 ] simplifiying candidate # 0.460 * * * * [progress]: [ 60 / 67 ] simplifiying candidate # 0.460 * * * * [progress]: [ 61 / 67 ] simplifiying candidate #real (real->posit16 (sqrt (- x 1)))) (sqrt x)))> 0.460 * * * * [progress]: [ 62 / 67 ] simplifiying candidate # 0.460 * * * * [progress]: [ 63 / 67 ] simplifiying candidate # 0.460 * * * * [progress]: [ 64 / 67 ] simplifiying candidate # 0.460 * * * * [progress]: [ 65 / 67 ] simplifiying candidate # 0.460 * * * * [progress]: [ 66 / 67 ] simplifiying candidate # 0.460 * * * * [progress]: [ 67 / 67 ] simplifiying candidate # 0.461 * [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))) (expm1 (sqrt (- x 1))) (log1p (sqrt (- x 1))) (log (sqrt (- x 1))) (exp (sqrt (- x 1))) (* (cbrt (sqrt (- x 1))) (cbrt (sqrt (- x 1)))) (cbrt (sqrt (- x 1))) (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1))) (sqrt (* (cbrt (- x 1)) (cbrt (- x 1)))) (sqrt (cbrt (- x 1))) (sqrt (sqrt (- x 1))) (sqrt (sqrt (- x 1))) (sqrt 1) (sqrt (- x 1)) (sqrt (+ (sqrt x) (sqrt 1))) (sqrt (- (sqrt x) (sqrt 1))) (sqrt (+ (sqrt x) 1)) (sqrt (- (sqrt x) 1)) (sqrt (+ (sqrt x) 1)) (sqrt (- (sqrt x) 1)) (sqrt 1) (sqrt (- x 1)) (sqrt (- (pow x 3) (pow 1 3))) (sqrt (+ (* x x) (+ (* 1 1) (* x 1)))) (sqrt (- (* x x) (* 1 1))) (sqrt (+ x 1)) (/ 1 2) (sqrt (sqrt (- x 1))) (sqrt (sqrt (- x 1))) (real->posit16 (sqrt (- x 1))) (- (+ (* +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))))) (+ (* 1/2 (/ x (sqrt -1))) (+ (* 1/8 (/ (pow x 2) (sqrt -1))) (sqrt -1))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.461 * * [simplify]: iteration 0: 113 enodes 0.493 * * [simplify]: iteration 1: 247 enodes 0.569 * * [simplify]: iteration 2: 541 enodes 0.879 * * [simplify]: iteration 3: 1371 enodes 1.509 * * [simplify]: iteration 4: 2005 enodes 1.712 * * [simplify]: iteration complete: 2005 enodes 1.712 * * [simplify]: Extracting #0: cost 45 inf + 0 1.713 * * [simplify]: Extracting #1: cost 172 inf + 2 1.716 * * [simplify]: Extracting #2: cost 287 inf + 1556 1.725 * * [simplify]: Extracting #3: cost 175 inf + 14649 1.733 * * [simplify]: Extracting #4: cost 100 inf + 29035 1.745 * * [simplify]: Extracting #5: cost 43 inf + 44954 1.757 * * [simplify]: Extracting #6: cost 8 inf + 50975 1.780 * * [simplify]: Extracting #7: cost 0 inf + 52999 1.804 * [simplify]: Simplified to: (expm1 (* (sqrt x) (sqrt (+ -1 x)))) (log1p (* (sqrt x) (sqrt (+ -1 x)))) (* x (+ -1 x)) (* (sqrt x) (sqrt (+ -1 x))) (* x (+ -1 x)) (log (* (sqrt x) (sqrt (+ -1 x)))) (log (* (sqrt x) (sqrt (+ -1 x)))) (exp (* (sqrt x) (sqrt (+ -1 x)))) (* (* (+ -1 x) (sqrt (+ -1 x))) (* (sqrt x) x)) (* (cbrt (* (sqrt x) (sqrt (+ -1 x)))) (cbrt (* (sqrt x) (sqrt (+ -1 x))))) (cbrt (* (sqrt x) (sqrt (+ -1 x)))) (* (* (+ -1 x) (sqrt (+ -1 x))) (* (sqrt x) x)) (* x (+ -1 x)) (sqrt (* (sqrt x) (sqrt (+ -1 x)))) (sqrt (* (sqrt x) (sqrt (+ -1 x)))) (* (sqrt (sqrt (+ -1 x))) (sqrt (sqrt x))) (* (sqrt (sqrt (+ -1 x))) (sqrt (sqrt x))) (* (sqrt (sqrt (+ -1 x))) (sqrt (sqrt x))) (* (sqrt (sqrt (+ -1 x))) (sqrt (sqrt x))) (* (sqrt (sqrt (+ -1 x))) (sqrt (sqrt x))) (* (sqrt (sqrt (+ -1 x))) (sqrt (sqrt x))) (* (sqrt (sqrt (+ -1 x))) (sqrt (sqrt x))) (* (sqrt (sqrt (+ -1 x))) (sqrt (sqrt x))) (* (* (cbrt (sqrt x)) (cbrt (sqrt x))) (sqrt (+ -1 x))) (* (sqrt (+ -1 x)) (fabs (cbrt x))) (* (sqrt (+ -1 x)) (sqrt (sqrt x))) (sqrt (+ -1 x)) (* (sqrt (+ -1 x)) (sqrt (sqrt x))) (sqrt (+ -1 x)) (* (cbrt (sqrt (+ -1 x))) (sqrt x)) (* (sqrt x) (sqrt (cbrt (+ -1 x)))) (* (sqrt x) (sqrt (sqrt (+ -1 x)))) (* (sqrt x) (sqrt (+ -1 x))) (* (sqrt x) (sqrt (+ -1 (sqrt x)))) (* (sqrt x) (sqrt (+ -1 (sqrt x)))) (* (sqrt x) (sqrt (+ -1 (sqrt x)))) (* (sqrt x) (sqrt (+ -1 x))) (* (sqrt x) (sqrt (sqrt (+ -1 x)))) (* (sqrt x) (sqrt (+ -1 x))) (* (sqrt (fma x (* x x) -1)) (sqrt x)) (* (sqrt x) (sqrt (fma x x -1))) (real->posit16 (* (sqrt x) (sqrt (+ -1 x)))) (expm1 (sqrt (+ -1 x))) (log1p (sqrt (+ -1 x))) (log (sqrt (+ -1 x))) (exp (sqrt (+ -1 x))) (* (cbrt (sqrt (+ -1 x))) (cbrt (sqrt (+ -1 x)))) (cbrt (sqrt (+ -1 x))) (* (+ -1 x) (sqrt (+ -1 x))) (fabs (cbrt (+ -1 x))) (sqrt (cbrt (+ -1 x))) (sqrt (sqrt (+ -1 x))) (sqrt (sqrt (+ -1 x))) 1 (sqrt (+ -1 x)) (sqrt (+ 1 (sqrt x))) (sqrt (+ -1 (sqrt x))) (sqrt (+ 1 (sqrt x))) (sqrt (+ -1 (sqrt x))) (sqrt (+ 1 (sqrt x))) (sqrt (+ -1 (sqrt x))) 1 (sqrt (+ -1 x)) (sqrt (fma x (* x x) -1)) (sqrt (fma x x (+ x 1))) (sqrt (fma x x -1)) (sqrt (+ x 1)) 1/2 (sqrt (sqrt (+ -1 x))) (sqrt (sqrt (+ -1 x))) (real->posit16 (sqrt (+ -1 x))) (- (+ (* +nan.0 (* x x)) (* x (- +nan.0 (* +nan.0 (* x x)))))) (+ (/ -1/8 x) (+ -1/2 x)) (fma +nan.0 (/ -1 (* x x)) (- (/ +nan.0 x) +nan.0)) (fma (/ 1/8 (sqrt -1)) (* x x) (fma (/ 1/2 (sqrt -1)) x (sqrt -1))) (fma +nan.0 (/ -1 (* x x)) (- (/ +nan.0 x) +nan.0)) (fma +nan.0 (/ -1 (* x x)) (- (/ +nan.0 x) +nan.0)) 1.809 * * * [progress]: adding candidates to table 2.023 * * [progress]: iteration 2 / 4 2.023 * * * [progress]: picking best candidate 2.026 * * * * [pick]: Picked # 2.026 * * * [progress]: localizing error 2.035 * * * [progress]: generating rewritten candidates 2.035 * * * [progress]: generating series expansions 2.035 * * * [progress]: simplifying candidates 2.035 * [simplify]: Simplifying: 2.035 * * [simplify]: iteration 0: 0 enodes 2.035 * * [simplify]: iteration complete: 0 enodes 2.035 * * [simplify]: Extracting #0: cost 0 inf + 0 2.035 * [simplify]: Simplified to: 2.035 * * * [progress]: adding candidates to table 2.035 * * [progress]: iteration 3 / 4 2.035 * * * [progress]: picking best candidate 2.037 * * * * [pick]: Picked # 2.037 * * * [progress]: localizing error 2.045 * * * [progress]: generating rewritten candidates 2.045 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.058 * * * [progress]: generating series expansions 2.058 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.058 * [backup-simplify]: Simplify (sqrt (* (- x 1) x)) into (sqrt (* x (- x 1))) 2.058 * [approximate]: Taking taylor expansion of (sqrt (* x (- x 1))) in (x) around 0 2.058 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 2.058 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 2.058 * [taylor]: Taking taylor expansion of x in x 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 1 into 1 2.058 * [taylor]: Taking taylor expansion of (- x 1) in x 2.058 * [taylor]: Taking taylor expansion of x in x 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 1 into 1 2.058 * [taylor]: Taking taylor expansion of 1 in x 2.058 * [backup-simplify]: Simplify 1 into 1 2.059 * [backup-simplify]: Simplify (- 1) into -1 2.059 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.059 * [backup-simplify]: Simplify (* 0 -1) into 0 2.060 * [backup-simplify]: Simplify (- 0) into 0 2.060 * [backup-simplify]: Simplify (+ 1 0) into 1 2.060 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.061 * [backup-simplify]: Simplify (sqrt 0) into 0 2.062 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.062 * [taylor]: Taking taylor expansion of (sqrt (* x (- x 1))) in x 2.062 * [taylor]: Taking taylor expansion of (* x (- x 1)) in x 2.062 * [taylor]: Taking taylor expansion of x in x 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 1 into 1 2.062 * [taylor]: Taking taylor expansion of (- x 1) in x 2.062 * [taylor]: Taking taylor expansion of x in x 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 1 into 1 2.062 * [taylor]: Taking taylor expansion of 1 in x 2.062 * [backup-simplify]: Simplify 1 into 1 2.062 * [backup-simplify]: Simplify (- 1) into -1 2.062 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.063 * [backup-simplify]: Simplify (* 0 -1) into 0 2.063 * [backup-simplify]: Simplify (- 0) into 0 2.063 * [backup-simplify]: Simplify (+ 1 0) into 1 2.064 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.064 * [backup-simplify]: Simplify (sqrt 0) into 0 2.065 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.065 * [backup-simplify]: Simplify (- 0) into 0 2.065 * [backup-simplify]: Simplify (+ 0 0) into 0 2.066 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 2.068 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.068 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.068 * [backup-simplify]: Simplify (- 0) into 0 2.068 * [backup-simplify]: Simplify (+ 0 0) into 0 2.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 2.072 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.072 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.072 * [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))))))) 2.072 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 x) 1) (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1) x)) 2.072 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in (x) around 0 2.072 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 2.072 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 2.072 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 2.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.072 * [taylor]: Taking taylor expansion of x in x 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.072 * [backup-simplify]: Simplify (/ 1 1) into 1 2.072 * [taylor]: Taking taylor expansion of 1 in x 2.072 * [backup-simplify]: Simplify 1 into 1 2.072 * [taylor]: Taking taylor expansion of x in x 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.073 * [backup-simplify]: Simplify (+ 1 0) into 1 2.073 * [backup-simplify]: Simplify (/ 1 1) into 1 2.073 * [backup-simplify]: Simplify (sqrt 1) into 1 2.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.074 * [backup-simplify]: Simplify (- 1) into -1 2.074 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.075 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 2.075 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 2.075 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 2.075 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 2.075 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 2.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.075 * [taylor]: Taking taylor expansion of x in x 2.075 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify 1 into 1 2.075 * [backup-simplify]: Simplify (/ 1 1) into 1 2.076 * [taylor]: Taking taylor expansion of 1 in x 2.076 * [backup-simplify]: Simplify 1 into 1 2.076 * [taylor]: Taking taylor expansion of x in x 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 1 into 1 2.076 * [backup-simplify]: Simplify (+ 1 0) into 1 2.076 * [backup-simplify]: Simplify (/ 1 1) into 1 2.076 * [backup-simplify]: Simplify (sqrt 1) into 1 2.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.077 * [backup-simplify]: Simplify (- 1) into -1 2.077 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.078 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 2.078 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 2.078 * [backup-simplify]: Simplify 1 into 1 2.078 * [backup-simplify]: Simplify -1/2 into -1/2 2.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.079 * [backup-simplify]: Simplify (- 0) into 0 2.080 * [backup-simplify]: Simplify (+ 0 0) into 0 2.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)))) into 0 2.081 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 2.081 * [backup-simplify]: Simplify -1/8 into -1/8 2.081 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 2.081 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 (- x)) 1) (/ 1 (- x)))) into (sqrt (/ (+ (/ 1 x) 1) x)) 2.081 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) x)) in (x) around 0 2.081 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) x)) in x 2.081 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x 2.081 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 2.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.081 * [taylor]: Taking taylor expansion of x in x 2.081 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify 1 into 1 2.081 * [backup-simplify]: Simplify (/ 1 1) into 1 2.081 * [taylor]: Taking taylor expansion of 1 in x 2.081 * [backup-simplify]: Simplify 1 into 1 2.081 * [taylor]: Taking taylor expansion of x in x 2.081 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify 1 into 1 2.082 * [backup-simplify]: Simplify (+ 1 0) into 1 2.082 * [backup-simplify]: Simplify (/ 1 1) into 1 2.082 * [backup-simplify]: Simplify (sqrt 1) into 1 2.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.083 * [backup-simplify]: Simplify (+ 0 1) into 1 2.084 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.084 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 2.084 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) x)) in x 2.084 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x 2.084 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 2.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.084 * [taylor]: Taking taylor expansion of x in x 2.084 * [backup-simplify]: Simplify 0 into 0 2.084 * [backup-simplify]: Simplify 1 into 1 2.084 * [backup-simplify]: Simplify (/ 1 1) into 1 2.085 * [taylor]: Taking taylor expansion of 1 in x 2.085 * [backup-simplify]: Simplify 1 into 1 2.085 * [taylor]: Taking taylor expansion of x in x 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify 1 into 1 2.085 * [backup-simplify]: Simplify (+ 1 0) into 1 2.085 * [backup-simplify]: Simplify (/ 1 1) into 1 2.085 * [backup-simplify]: Simplify (sqrt 1) into 1 2.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.086 * [backup-simplify]: Simplify (+ 0 1) into 1 2.087 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.087 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 2.087 * [backup-simplify]: Simplify 1 into 1 2.087 * [backup-simplify]: Simplify 1/2 into 1/2 2.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.089 * [backup-simplify]: Simplify (+ 0 0) into 0 2.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.091 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 2.091 * [backup-simplify]: Simplify -1/8 into -1/8 2.091 * [backup-simplify]: Simplify (+ (* -1/8 (/ 1 (- x))) (+ 1/2 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 1/8 (/ 1 x)) 1/2) x) 2.091 * * * [progress]: simplifying candidates 2.091 * * * * [progress]: [ 1 / 19 ] simplifiying candidate # 2.091 * * * * [progress]: [ 2 / 19 ] simplifiying candidate # 2.091 * * * * [progress]: [ 3 / 19 ] simplifiying candidate # 2.091 * * * * [progress]: [ 4 / 19 ] simplifiying candidate # 2.091 * * * * [progress]: [ 5 / 19 ] simplifiying candidate # 2.091 * * * * [progress]: [ 6 / 19 ] simplifiying candidate # 2.092 * * * * [progress]: [ 7 / 19 ] simplifiying candidate # 2.092 * * * * [progress]: [ 8 / 19 ] simplifiying candidate # 2.092 * * * * [progress]: [ 9 / 19 ] simplifiying candidate # 2.092 * * * * [progress]: [ 10 / 19 ] simplifiying candidate # 2.092 * * * * [progress]: [ 11 / 19 ] simplifiying candidate # 2.092 * * * * [progress]: [ 12 / 19 ] simplifiying candidate # 2.092 * * * * [progress]: [ 13 / 19 ] simplifiying candidate # 2.092 * * * * [progress]: [ 14 / 19 ] simplifiying candidate # 2.092 * * * * [progress]: [ 15 / 19 ] simplifiying candidate # 2.092 * * * * [progress]: [ 16 / 19 ] simplifiying candidate #real (real->posit16 (sqrt (* (- x 1) x)))))> 2.092 * * * * [progress]: [ 17 / 19 ] simplifiying candidate # 2.092 * * * * [progress]: [ 18 / 19 ] simplifiying candidate # 2.092 * * * * [progress]: [ 19 / 19 ] simplifiying candidate # 2.093 * [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) 2.093 * * [simplify]: iteration 0: 53 enodes 2.121 * * [simplify]: iteration 1: 119 enodes 2.164 * * [simplify]: iteration 2: 265 enodes 2.251 * * [simplify]: iteration 3: 669 enodes 2.848 * * [simplify]: iteration 4: 1841 enodes 3.149 * * [simplify]: iteration 5: 2056 enodes 3.516 * * [simplify]: iteration complete: 2056 enodes 3.516 * * [simplify]: Extracting #0: cost 19 inf + 0 3.516 * * [simplify]: Extracting #1: cost 98 inf + 1 3.518 * * [simplify]: Extracting #2: cost 220 inf + 1006 3.522 * * [simplify]: Extracting #3: cost 164 inf + 12902 3.531 * * [simplify]: Extracting #4: cost 57 inf + 28260 3.544 * * [simplify]: Extracting #5: cost 14 inf + 43492 3.570 * * [simplify]: Extracting #6: cost 0 inf + 48518 3.594 * * [simplify]: Extracting #7: cost 0 inf + 48438 3.620 * [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)) 3.621 * * * [progress]: adding candidates to table 3.673 * [progress]: [Phase 3 of 3] Extracting. 3.688 * * [regime]: Finding splitpoints for: (# #) 3.689 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.690 * * * * [regimes]: Trying to branch on x from (# #) 3.725 * * * [regime]: Found split indices: #