0.850 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.274 * * * [progress]: [2/2] Setting up program. 0.277 * [progress]: [Phase 2 of 3] Improving. 0.280 * [simplify]: Simplifying using # : (* (sqrt (- x 1.0)) (sqrt x)) 0.285 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.286 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.287 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.288 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.289 * * [progress]: iteration 1 / 4 0.290 * * * [progress]: picking best candidate 0.292 * * * * [pick]: Picked # 0.292 * * * [progress]: localizing error 0.299 * * * [progress]: generating rewritten candidates 0.299 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.312 * * * [progress]: generating series expansions 0.312 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.316 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.317 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.317 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.317 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of 1.0 in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.322 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.322 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of 1.0 in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.336 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.336 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.336 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.336 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of 1.0 in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.355 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.355 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of 1.0 in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.363 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.363 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.363 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.363 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.363 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.363 * [taylor]: Taking taylor expansion of 1.0 in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.365 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.365 * [taylor]: Taking taylor expansion of -1 in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.366 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.366 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.366 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.366 * [taylor]: Taking taylor expansion of 1.0 in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.368 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.368 * [taylor]: Taking taylor expansion of -1 in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.397 * * * [progress]: simplifying candidates 0.398 * [simplify]: Simplifying using # : (* (- x 1.0) x) (* (sqrt (- x 1.0)) (sqrt x)) (* (- x 1.0) x) (+ (log (sqrt (- x 1.0))) (log (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (exp (* (sqrt (- x 1.0)) (sqrt x))) (* (* (* (sqrt (- x 1.0)) (sqrt (- x 1.0))) (sqrt (- x 1.0))) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (cbrt (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (* (* (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (- x 1.0)) (sqrt x))) (* (- x 1.0) x) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (sqrt (- x 1.0)) (sqrt (* (cbrt x) (cbrt x)))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (sqrt 1)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) 1) (* (cbrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (cbrt (- x 1.0))) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.401 * * [simplify]: iteration 0 : 181 enodes (cost 216 ) 0.405 * * [simplify]: iteration 1 : 610 enodes (cost 206 ) 0.417 * * [simplify]: iteration 2 : 2471 enodes (cost 201 ) 0.470 * * [simplify]: iteration 3 : 5002 enodes (cost 201 ) 0.471 * [simplify]: Simplified to: (* (- x 1.0) x) (* (sqrt (- x 1.0)) (sqrt x)) (* (- x 1.0) x) (log (* (sqrt (- x 1.0)) (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (exp (* (sqrt (- x 1.0)) (sqrt x))) (pow (* (sqrt (- x 1.0)) (sqrt x)) 3) (* (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (cbrt (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (pow (* (sqrt (- x 1.0)) (sqrt x)) 3) (* (- x 1.0) x) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (fabs (cbrt x)) (sqrt (- x 1.0))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (cbrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (cbrt (- x 1.0))) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (* +nan.0 (+ (- (pow x 2)) (- (pow x 3) x))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) 0.472 * * * [progress]: adding candidates to table 0.535 * * [progress]: iteration 2 / 4 0.535 * * * [progress]: picking best candidate 0.536 * * * * [pick]: Picked # 0.536 * * * [progress]: localizing error 0.542 * * * [progress]: generating rewritten candidates 0.542 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2 2) 0.551 * * * [progress]: generating series expansions 0.551 * * * * [progress]: [ 1 / 1 ] generating series at (2 2 2) 0.551 * [approximate]: Taking taylor expansion of (/ 0.125 x) in (x) around 0 0.551 * [taylor]: Taking taylor expansion of (/ 0.125 x) in x 0.551 * [taylor]: Taking taylor expansion of 0.125 in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of (/ 0.125 x) in x 0.552 * [taylor]: Taking taylor expansion of 0.125 in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.555 * [approximate]: Taking taylor expansion of (* 0.125 x) in (x) around 0 0.555 * [taylor]: Taking taylor expansion of (* 0.125 x) in x 0.555 * [taylor]: Taking taylor expansion of 0.125 in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.555 * [taylor]: Taking taylor expansion of (* 0.125 x) in x 0.555 * [taylor]: Taking taylor expansion of 0.125 in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.561 * [approximate]: Taking taylor expansion of (* -0.125 x) in (x) around 0 0.561 * [taylor]: Taking taylor expansion of (* -0.125 x) in x 0.561 * [taylor]: Taking taylor expansion of -0.125 in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (* -0.125 x) in x 0.561 * [taylor]: Taking taylor expansion of -0.125 in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.567 * * * [progress]: simplifying candidates 0.568 * [simplify]: Simplifying using # : (* 0.125 (/ 1 x)) (+ (log 0.125) (- (log x))) (+ (log 0.125) (- 0 (log x))) (+ (log 0.125) (- (log 1) (log x))) (+ (log 0.125) (log (/ 1 x))) (log (* 0.125 (/ 1 x))) (exp (* 0.125 (/ 1 x))) (* (* (* 0.125 0.125) 0.125) (/ (* (* 1 1) 1) (* (* x x) x))) (* (* (* 0.125 0.125) 0.125) (* (* (/ 1 x) (/ 1 x)) (/ 1 x))) (* (cbrt (* 0.125 (/ 1 x))) (cbrt (* 0.125 (/ 1 x)))) (cbrt (* 0.125 (/ 1 x))) (* (* (* 0.125 (/ 1 x)) (* 0.125 (/ 1 x))) (* 0.125 (/ 1 x))) (sqrt (* 0.125 (/ 1 x))) (sqrt (* 0.125 (/ 1 x))) (* (sqrt 0.125) (sqrt (/ 1 x))) (* (sqrt 0.125) (sqrt (/ 1 x))) (* (sqrt 0.125) (/ (sqrt 1) (sqrt x))) (* (sqrt 0.125) (/ (sqrt 1) (sqrt x))) (* (sqrt 0.125) (/ 1 (sqrt x))) (* (sqrt 0.125) (/ 1 (sqrt x))) (* 0.125 (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) (* 0.125 (sqrt (/ 1 x))) (* 0.125 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)))) (* 0.125 (/ (* (cbrt 1) (cbrt 1)) (sqrt x))) (* 0.125 (/ (* (cbrt 1) (cbrt 1)) 1)) (* 0.125 (/ (sqrt 1) (* (cbrt x) (cbrt x)))) (* 0.125 (/ (sqrt 1) (sqrt x))) (* 0.125 (/ (sqrt 1) 1)) (* 0.125 (/ 1 (* (cbrt x) (cbrt x)))) (* 0.125 (/ 1 (sqrt x))) (* 0.125 (/ 1 1)) (* 0.125 1) (* 0.125 1) (* (cbrt 0.125) (/ 1 x)) (* (sqrt 0.125) (/ 1 x)) (* 0.125 (/ 1 x)) (* 0.125 1) (/ 0.125 x) (/ 0.125 x) (/ 0.125 x) 0.574 * * [simplify]: iteration 0 : 174 enodes (cost 138 ) 0.578 * * [simplify]: iteration 1 : 722 enodes (cost 114 ) 0.590 * * [simplify]: iteration 2 : 2570 enodes (cost 96 ) 0.611 * * [simplify]: iteration 3 : 4879 enodes (cost 96 ) 0.645 * * [simplify]: iteration 4 : 5001 enodes (cost 96 ) 0.647 * [simplify]: Simplified to: (/ 0.125 x) (- (log 0.125) (log x)) (- (log 0.125) (log x)) (- (log 0.125) (log x)) (- (log 0.125) (log x)) (- (log 0.125) (log x)) (exp (* 0.125 (/ 1 x))) (pow (/ 0.125 x) 3) (pow (/ 0.125 x) 3) (* (cbrt (* 0.125 (/ 1 x))) (cbrt (* 0.125 (/ 1 x)))) (cbrt (* 0.125 (/ 1 x))) (pow (/ 0.125 x) 3) (sqrt (* 0.125 (/ 1 x))) (sqrt (* 0.125 (/ 1 x))) (* (sqrt 0.125) (sqrt (/ 1 x))) (* (sqrt 0.125) (sqrt (/ 1 x))) (/ (sqrt 0.125) (sqrt x)) (/ (sqrt 0.125) (sqrt x)) (/ (sqrt 0.125) (sqrt x)) (/ (sqrt 0.125) (sqrt x)) (* 0.125 (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) (* 0.125 (sqrt (/ 1 x))) (/ 0.125 (* (cbrt x) (cbrt x))) (/ 0.125 (sqrt x)) 0.125 (/ 0.125 (* (cbrt x) (cbrt x))) (/ 0.125 (sqrt x)) 0.125 (/ 0.125 (* (cbrt x) (cbrt x))) (/ 0.125 (sqrt x)) 0.125 0.125 0.125 (/ (cbrt 0.125) x) (/ (sqrt 0.125) x) (/ 0.125 x) 0.125 (/ 0.125 x) (/ 0.125 x) (/ 0.125 x) 0.647 * * * [progress]: adding candidates to table 0.687 * [progress]: [Phase 3 of 3] Extracting. 0.687 * * [regime]: Finding splitpoints for: (# #) 0.688 * * * [regime-changes]: Trying 2 branch expressions: ((* (sqrt (- x 1.0)) (sqrt x)) x) 0.688 * * * * [regimes]: Trying to branch on (* (sqrt (- x 1.0)) (sqrt x)) from (# #) 0.708 * * * * [regimes]: Trying to branch on x from (# #) 0.717 * * * [regime]: Found split indices: #