19.980 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.003 * * * * [points]: Sampling 256 additional inputs, on iter 0 have 0 / 256 0.004 * * * * [points]: Computing exacts on every 16 of 256 points to ramp up precision 0.004 * * * * [points]: Setting MPFR precision to 64 0.004 * * * * [points]: Setting MPFR precision to 320 0.004 * * * * [points]: Computing exacts on every 8 of 256 points to ramp up precision 0.004 * * * * [points]: Setting MPFR precision to 64 0.005 * * * * [points]: Setting MPFR precision to 320 0.005 * * * * [points]: Computing exacts on every 4 of 256 points to ramp up precision 0.005 * * * * [points]: Setting MPFR precision to 64 0.005 * * * * [points]: Setting MPFR precision to 320 0.006 * * * * [points]: Computing exacts on every 2 of 256 points to ramp up precision 0.006 * * * * [points]: Setting MPFR precision to 64 0.006 * * * * [points]: Setting MPFR precision to 320 0.007 * * * * [points]: Computing exacts for 256 points 0.007 * * * * [points]: Setting MPFR precision to 64 0.009 * * * * [points]: Setting MPFR precision to 320 0.011 * * * * [points]: Filtering points with unrepresentable outputs 0.011 * * * * [points]: Sampled 256 points with exact outputs 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (/ x (- 1.0 x)) 0.037 * * [simplify]: iteration 0 : 345 enodes (cost 5 ) 0.037 * * [simplify]: iteration 1 : 345 enodes (cost 5 ) 0.037 * [simplify]: Simplified to: (/ x (- 1.0 x)) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.042 * * * [progress]: generating rewritten candidates 0.042 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.048 * * * [progress]: generating series expansions 0.048 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.048 * [approximate]: Taking taylor expansion of (/ x (- 1.0 x)) in (x) around 0 0.048 * [taylor]: Taking taylor expansion of (/ x (- 1.0 x)) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.048 * [taylor]: Taking taylor expansion of 1.0 in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (/ x (- 1.0 x)) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.049 * [taylor]: Taking taylor expansion of 1.0 in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [approximate]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 x)) x)) in (x) around 0 0.049 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 x)) x)) in x 0.049 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 0.049 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.049 * [taylor]: Taking taylor expansion of 1.0 in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 x)) x)) in x 0.049 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 0.049 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.049 * [taylor]: Taking taylor expansion of 1.0 in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.050 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (/ 1 x) 1.0) x)) in (x) around 0 0.050 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 x) 1.0) x)) in x 0.050 * [taylor]: Taking taylor expansion of -1 in x 0.050 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) x) in x 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of 1.0 in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 x) 1.0) x)) in x 0.050 * [taylor]: Taking taylor expansion of -1 in x 0.050 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) x) in x 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of 1.0 in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.051 * * * [progress]: simplifying candidates 0.052 * [simplify]: Simplifying using # : (- (log x) (log (- 1.0 x))) (log (/ x (- 1.0 x))) (exp (/ x (- 1.0 x))) (/ (* (* x x) x) (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x))) (* (cbrt (/ x (- 1.0 x))) (cbrt (/ x (- 1.0 x)))) (cbrt (/ x (- 1.0 x))) (* (* (/ x (- 1.0 x)) (/ x (- 1.0 x))) (/ x (- 1.0 x))) (sqrt (/ x (- 1.0 x))) (sqrt (/ x (- 1.0 x))) (neg x) (neg (- 1.0 x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (cbrt x) (cbrt (- 1.0 x))) (/ (* (cbrt x) (cbrt x)) (sqrt (- 1.0 x))) (/ (cbrt x) (sqrt (- 1.0 x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- 1.0 x)) (/ (* (cbrt x) (cbrt x)) (+ (sqrt 1.0) (sqrt x))) (/ (cbrt x) (- (sqrt 1.0) (sqrt x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- 1.0 x)) (/ (sqrt x) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (sqrt x) (cbrt (- 1.0 x))) (/ (sqrt x) (sqrt (- 1.0 x))) (/ (sqrt x) (sqrt (- 1.0 x))) (/ (sqrt x) 1) (/ (sqrt x) (- 1.0 x)) (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt x) (- (sqrt 1.0) (sqrt x))) (/ (sqrt x) 1) (/ (sqrt x) (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ x (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ x (sqrt (- 1.0 x))) (/ 1 1) (/ x (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ x (- (sqrt 1.0) (sqrt x))) (/ 1 1) (/ x (- 1.0 x)) (/ 1 (- 1.0 x)) (/ (- 1.0 x) x) (/ x (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ x (sqrt (- 1.0 x))) (/ x 1) (/ x (+ (sqrt 1.0) (sqrt x))) (/ x 1) (/ (- 1.0 x) (cbrt x)) (/ (- 1.0 x) (sqrt x)) (/ (- 1.0 x) x) (/ x (- (pow 1.0 3) (pow x 3))) (/ x (- (* 1.0 1.0) (* x x))) (+ (* 1.0 (pow x 2)) (+ (* 1.0 (pow x 3)) (* 1.0 x))) (neg (+ (* 1.0 (/ 1 (pow x 2))) (+ (* 1.0 (/ 1 x)) 1))) (neg (+ (* 1.0 (/ 1 (pow x 2))) (+ (* 1.0 (/ 1 x)) 1))) 0.098 * * [simplify]: iteration 0 : 4965 enodes (cost 368 ) 0.098 * * [simplify]: iteration 1 : 4965 enodes (cost 368 ) 0.100 * [simplify]: Simplified to: (log (/ x (- 1.0 x))) (log (/ x (- 1.0 x))) (exp (/ x (- 1.0 x))) (pow (/ x (- 1.0 x)) 3) (* (cbrt (/ x (- 1.0 x))) (cbrt (/ x (- 1.0 x)))) (cbrt (/ x (- 1.0 x))) (pow (/ x (- 1.0 x)) 3) (sqrt (/ x (- 1.0 x))) (sqrt (/ x (- 1.0 x))) (neg x) (- x 1.0) (* (cbrt x) (/ (cbrt x) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))))) (/ (cbrt x) (cbrt (- 1.0 x))) (* (cbrt x) (/ (cbrt x) (sqrt (- 1.0 x)))) (/ (cbrt x) (sqrt (- 1.0 x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (- 1.0 x)) (* (cbrt x) (/ (cbrt x) (+ (sqrt 1.0) (sqrt x)))) (/ (cbrt x) (- (sqrt 1.0) (sqrt x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (- 1.0 x)) (/ (sqrt x) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (sqrt x) (cbrt (- 1.0 x))) (/ (sqrt x) (sqrt (- 1.0 x))) (/ (sqrt x) (sqrt (- 1.0 x))) (sqrt x) (/ (sqrt x) (- 1.0 x)) (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt x) (- (sqrt 1.0) (sqrt x))) (sqrt x) (/ (sqrt x) (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ x (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ x (sqrt (- 1.0 x))) 1 (/ x (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ x (- (sqrt 1.0) (sqrt x))) 1 (/ x (- 1.0 x)) (/ 1 (- 1.0 x)) (+ (/ 1.0 x) -1) (/ x (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ x (sqrt (- 1.0 x))) x (/ x (+ (sqrt 1.0) (sqrt x))) x (/ (- 1.0 x) (cbrt x)) (/ (- 1.0 x) (sqrt x)) (+ (/ 1.0 x) -1) (/ x (- (pow 1.0 3) (pow x 3))) (/ x (- (* 1.0 1.0) (* x x))) (* x (+ 1.0 (* x (+ 1.0 (* x 1.0))))) (- -1 (/ (+ 1.0 (/ 1.0 x)) x)) (- -1 (/ (+ 1.0 (/ 1.0 x)) x)) 0.100 * * * [progress]: adding candidates to table 0.141 * * [progress]: iteration 2 / 4 0.141 * * * [progress]: picking best candidate 0.143 * * * * [pick]: Picked # 0.143 * * * [progress]: localizing error 0.147 * * * [progress]: generating rewritten candidates 0.147 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.159 * * * [progress]: generating series expansions 0.159 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.159 * [approximate]: Taking taylor expansion of (/ x (- 1.0 x)) in (x) around 0 0.159 * [taylor]: Taking taylor expansion of (/ x (- 1.0 x)) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (/ x (- 1.0 x)) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.160 * [approximate]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 x)) x)) in (x) around 0 0.160 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 x)) x)) in x 0.160 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 0.160 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.160 * [taylor]: Taking taylor expansion of 1.0 in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 x)) x)) in x 0.160 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 0.160 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.160 * [taylor]: Taking taylor expansion of 1.0 in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.161 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (/ 1 x) 1.0) x)) in (x) around 0 0.161 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 x) 1.0) x)) in x 0.161 * [taylor]: Taking taylor expansion of -1 in x 0.161 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) x) in x 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of 1.0 in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 x) 1.0) x)) in x 0.161 * [taylor]: Taking taylor expansion of -1 in x 0.161 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) x) in x 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of 1.0 in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.162 * * * [progress]: simplifying candidates 0.162 * [simplify]: Simplifying using # : (* x (/ 1 (- 1.0 x))) (+ (log x) (neg (log (- 1.0 x)))) (+ (log x) (- 0 (log (- 1.0 x)))) (+ (log x) (- (log 1) (log (- 1.0 x)))) (+ (log x) (log (/ 1 (- 1.0 x)))) (log (* x (/ 1 (- 1.0 x)))) (exp (* x (/ 1 (- 1.0 x)))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)))) (* (* (* x x) x) (* (* (/ 1 (- 1.0 x)) (/ 1 (- 1.0 x))) (/ 1 (- 1.0 x)))) (* (cbrt (* x (/ 1 (- 1.0 x)))) (cbrt (* x (/ 1 (- 1.0 x))))) (cbrt (* x (/ 1 (- 1.0 x)))) (* (* (* x (/ 1 (- 1.0 x))) (* x (/ 1 (- 1.0 x)))) (* x (/ 1 (- 1.0 x)))) (sqrt (* x (/ 1 (- 1.0 x)))) (sqrt (* x (/ 1 (- 1.0 x)))) (* (sqrt x) (sqrt (/ 1 (- 1.0 x)))) (* (sqrt x) (sqrt (/ 1 (- 1.0 x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (- 1.0 x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (- 1.0 x)))) (* (sqrt x) (/ 1 (sqrt (- 1.0 x)))) (* (sqrt x) (/ 1 (sqrt (- 1.0 x)))) (* x (* (cbrt (/ 1 (- 1.0 x))) (cbrt (/ 1 (- 1.0 x))))) (* x (sqrt (/ 1 (- 1.0 x)))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (- 1.0 x)))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) (+ (sqrt 1.0) (sqrt x)))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))))) (* x (/ (sqrt 1) (sqrt (- 1.0 x)))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) (+ (sqrt 1.0) (sqrt x)))) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))))) (* x (/ 1 (sqrt (- 1.0 x)))) (* x (/ 1 1)) (* x (/ 1 (+ (sqrt 1.0) (sqrt x)))) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (- (pow 1.0 3) (pow x 3)))) (* x (/ 1 (- (* 1.0 1.0) (* x x)))) (* (cbrt x) (/ 1 (- 1.0 x))) (* (sqrt x) (/ 1 (- 1.0 x))) (* x (/ 1 (- 1.0 x))) (* x 1) (+ (* 1.0 (pow x 2)) (+ (* 1.0 (pow x 3)) (* 1.0 x))) (neg (+ (* 1.0 (/ 1 (pow x 2))) (+ (* 1.0 (/ 1 x)) 1))) (neg (+ (* 1.0 (/ 1 (pow x 2))) (+ (* 1.0 (/ 1 x)) 1))) 0.204 * * [simplify]: iteration 0 : 5209 enodes (cost 341 ) 0.206 * [simplify]: Simplified to: (/ x (- 1.0 x)) (log (/ x (- 1.0 x))) (log (/ x (- 1.0 x))) (log (/ x (- 1.0 x))) (log (/ x (- 1.0 x))) (log (/ x (- 1.0 x))) (exp (/ x (- 1.0 x))) (pow (/ x (- 1.0 x)) 3) (pow (/ x (- 1.0 x)) 3) (* (cbrt (/ x (- 1.0 x))) (cbrt (/ x (- 1.0 x)))) (cbrt (/ x (- 1.0 x))) (pow (/ x (- 1.0 x)) 3) (sqrt (/ x (- 1.0 x))) (sqrt (/ x (- 1.0 x))) (* (sqrt x) (sqrt (/ 1 (- 1.0 x)))) (* (sqrt x) (sqrt (/ 1 (- 1.0 x)))) (/ (sqrt x) (sqrt (- 1.0 x))) (/ (sqrt x) (sqrt (- 1.0 x))) (/ (sqrt x) (sqrt (- 1.0 x))) (/ (sqrt x) (sqrt (- 1.0 x))) (* x (* (cbrt (/ 1 (- 1.0 x))) (cbrt (/ 1 (- 1.0 x))))) (* x (sqrt (/ 1 (- 1.0 x)))) (* x (* (cbrt 1) (/ (cbrt 1) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))))) (* x (* (cbrt 1) (/ (cbrt 1) (sqrt (- 1.0 x))))) (* x (* (cbrt 1) (cbrt 1))) (* x (* (cbrt 1) (/ (cbrt 1) (+ (sqrt x) (sqrt 1.0))))) (* x (* (cbrt 1) (cbrt 1))) (/ x (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ x (sqrt (- 1.0 x))) x (/ x (+ (sqrt x) (sqrt 1.0))) x (/ x (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ x (sqrt (- 1.0 x))) x (/ x (+ (sqrt x) (sqrt 1.0))) x x x (/ x (- (pow 1.0 3) (pow x 3))) (/ x (- (* 1.0 1.0) (* x x))) (/ (cbrt x) (- 1.0 x)) (/ (sqrt x) (- 1.0 x)) (/ x (- 1.0 x)) x (* x (+ 1.0 (* x (+ 1.0 (* x 1.0))))) (+ -1 (* (/ 1.0 x) (+ (/ -1 x) -1))) (+ -1 (* (/ 1.0 x) (+ (/ -1 x) -1))) 0.206 * * * [progress]: adding candidates to table 0.251 * [progress]: [Phase 3 of 3] Extracting. 0.251 * * [regime]: Finding splitpoints for: (# #) 0.251 * * * [regime-changes]: Trying 2 branch expressions: ((/ x (- 1.0 x)) x) 0.251 * * * * [regimes]: Trying to branch on (/ x (- 1.0 x)) from (# #) 0.272 * * * * [regimes]: Trying to branch on x from (# #) 0.296 * * * [regime]: Found split indices: #