8.709 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.001 * * * * [points]: Sampling 256 additional inputs, on iter 0 have 0 / 256 0.003 * * * * [points]: Computing exacts on every 16 of 256 points to ramp up precision 0.003 * * * * [points]: Setting MPFR precision to 64 0.004 * * * * [points]: Setting MPFR precision to 320 0.005 * * * * [points]: Computing exacts on every 8 of 256 points to ramp up precision 0.005 * * * * [points]: Setting MPFR precision to 64 0.007 * * * * [points]: Setting MPFR precision to 320 0.010 * * * * [points]: Computing exacts on every 4 of 256 points to ramp up precision 0.010 * * * * [points]: Setting MPFR precision to 64 0.013 * * * * [points]: Setting MPFR precision to 320 0.017 * * * * [points]: Computing exacts on every 2 of 256 points to ramp up precision 0.017 * * * * [points]: Setting MPFR precision to 64 0.023 * * * * [points]: Setting MPFR precision to 320 0.030 * * * * [points]: Computing exacts for 256 points 0.030 * * * * [points]: Setting MPFR precision to 64 0.048 * * * * [points]: Setting MPFR precision to 320 0.068 * * * * [points]: Filtering points with unrepresentable outputs 0.069 * * * * [points]: Sampling 141 additional inputs, on iter 1 have 115 / 256 0.070 * * * * [points]: Computing exacts on every 8 of 141 points to ramp up precision 0.070 * * * * [points]: Setting MPFR precision to 64 0.071 * * * * [points]: Setting MPFR precision to 320 0.072 * * * * [points]: Computing exacts on every 4 of 141 points to ramp up precision 0.072 * * * * [points]: Setting MPFR precision to 64 0.074 * * * * [points]: Setting MPFR precision to 320 0.076 * * * * [points]: Computing exacts on every 2 of 141 points to ramp up precision 0.076 * * * * [points]: Setting MPFR precision to 64 0.080 * * * * [points]: Setting MPFR precision to 320 0.084 * * * * [points]: Computing exacts for 141 points 0.084 * * * * [points]: Setting MPFR precision to 64 0.094 * * * * [points]: Setting MPFR precision to 320 0.105 * * * * [points]: Filtering points with unrepresentable outputs 0.105 * * * * [points]: Sampling 73 additional inputs, on iter 2 have 183 / 256 0.106 * * * * [points]: Computing exacts on every 4 of 73 points to ramp up precision 0.106 * * * * [points]: Setting MPFR precision to 64 0.107 * * * * [points]: Setting MPFR precision to 320 0.108 * * * * [points]: Computing exacts on every 2 of 73 points to ramp up precision 0.108 * * * * [points]: Setting MPFR precision to 64 0.110 * * * * [points]: Setting MPFR precision to 320 0.112 * * * * [points]: Computing exacts for 73 points 0.112 * * * * [points]: Setting MPFR precision to 64 0.117 * * * * [points]: Setting MPFR precision to 320 0.123 * * * * [points]: Filtering points with unrepresentable outputs 0.123 * * * * [points]: Sampling 37 additional inputs, on iter 3 have 219 / 256 0.124 * * * * [points]: Computing exacts on every 2 of 37 points to ramp up precision 0.124 * * * * [points]: Setting MPFR precision to 64 0.125 * * * * [points]: Setting MPFR precision to 320 0.125 * * * * [points]: Computing exacts for 37 points 0.125 * * * * [points]: Setting MPFR precision to 64 0.130 * * * * [points]: Setting MPFR precision to 320 0.133 * * * * [points]: Filtering points with unrepresentable outputs 0.133 * * * * [points]: Sampling 25 additional inputs, on iter 4 have 231 / 256 0.133 * * * * [points]: Computing exacts for 25 points 0.133 * * * * [points]: Setting MPFR precision to 64 0.135 * * * * [points]: Setting MPFR precision to 320 0.137 * * * * [points]: Filtering points with unrepresentable outputs 0.137 * * * * [points]: Sampling 14 additional inputs, on iter 5 have 242 / 256 0.137 * * * * [points]: Computing exacts for 14 points 0.137 * * * * [points]: Setting MPFR precision to 64 0.138 * * * * [points]: Setting MPFR precision to 320 0.139 * * * * [points]: Filtering points with unrepresentable outputs 0.139 * * * * [points]: Sampling 7 additional inputs, on iter 6 have 249 / 256 0.140 * * * * [points]: Computing exacts for 7 points 0.140 * * * * [points]: Setting MPFR precision to 64 0.140 * * * * [points]: Setting MPFR precision to 320 0.141 * * * * [points]: Filtering points with unrepresentable outputs 0.141 * * * * [points]: Sampling 5 additional inputs, on iter 7 have 251 / 256 0.141 * * * * [points]: Computing exacts for 5 points 0.141 * * * * [points]: Setting MPFR precision to 64 0.141 * * * * [points]: Setting MPFR precision to 320 0.142 * * * * [points]: Filtering points with unrepresentable outputs 0.142 * * * * [points]: Sampling 4 additional inputs, on iter 8 have 254 / 256 0.142 * * * * [points]: Computing exacts for 4 points 0.142 * * * * [points]: Setting MPFR precision to 64 0.142 * * * * [points]: Setting MPFR precision to 320 0.142 * * * * [points]: Filtering points with unrepresentable outputs 0.142 * * * * [points]: Sampled 257 points with exact outputs 0.142 * * * [progress]: [2/2] Setting up program. 0.152 * [progress]: [Phase 2 of 3] Improving. 0.152 * [simplify]: Simplifying using # : (re (complex (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (- (exp x) (exp (- x))) 2.0) (sin y)))) 0.155 * * [simplify]: iteration 0 : 30 enodes (cost 7 ) 0.156 * * [simplify]: iteration 1 : 47 enodes (cost 7 ) 0.157 * * [simplify]: iteration 2 : 84 enodes (cost 7 ) 0.159 * * [simplify]: iteration 3 : 121 enodes (cost 7 ) 0.161 * * [simplify]: iteration 4 : 206 enodes (cost 7 ) 0.164 * * [simplify]: iteration 5 : 410 enodes (cost 7 ) 0.170 * * [simplify]: iteration 6 : 1017 enodes (cost 7 ) 0.182 * * [simplify]: iteration 7 : 2074 enodes (cost 7 ) 0.211 * * [simplify]: iteration 8 : 5001 enodes (cost 7 ) 0.211 * [simplify]: Simplified to: (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 0.218 * * [progress]: iteration 1 / 4 0.218 * * * [progress]: picking best candidate 0.223 * * * * [pick]: Picked # 0.223 * * * [progress]: localizing error 0.235 * * * [progress]: generating rewritten candidates 0.235 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 1) 0.240 * * * [progress]: generating series expansions 0.241 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 1) 0.241 * [approximate]: Taking taylor expansion of (+ (exp x) (exp (- x))) in (x) around 0 0.241 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.241 * [taylor]: Taking taylor expansion of (exp x) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.241 * [taylor]: Taking taylor expansion of (- x) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.241 * [taylor]: Taking taylor expansion of (exp x) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.241 * [taylor]: Taking taylor expansion of (- x) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.242 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 0.242 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.242 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.242 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.242 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.242 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.243 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 0.243 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.243 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.243 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.243 * [taylor]: Taking taylor expansion of -1 in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.243 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.243 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.243 * [taylor]: Taking taylor expansion of -1 in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.244 * * * [progress]: simplifying candidates 0.244 * [simplify]: Simplifying using # : (* (exp (exp x)) (exp (exp (- x)))) (log (+ (exp x) (exp (- x)))) (exp (+ (exp x) (exp (- x)))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) (cbrt (+ (exp x) (exp (- x)))) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))) (+ (pow (exp x) 3) (pow (exp (- x)) 3)) (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))) (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (+ (exp x) (exp (- x))) (+ (exp (* -1 x)) (exp x)) 0.247 * * [simplify]: iteration 0 : 100 enodes (cost 100 ) 0.249 * * [simplify]: iteration 1 : 331 enodes (cost 88 ) 0.255 * * [simplify]: iteration 2 : 1216 enodes (cost 87 ) 0.293 * * [simplify]: iteration 3 : 5001 enodes (cost 87 ) 0.294 * [simplify]: Simplified to: (exp (+ (exp x) (exp (- x)))) (log (+ (exp x) (exp (- x)))) (exp (+ (exp x) (exp (- x)))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) (cbrt (+ (exp x) (exp (- x)))) (pow (+ (exp (* -1 x)) (exp x)) 3) (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))) (+ (pow (exp x) 3) (pow (exp (- x)) 3)) (+ (pow (exp x) -2) (- (exp (+ x x)) 1)) (+ (exp (+ x x)) (- (exp (+ (- x) (- x))))) (- (exp x) (exp (- x))) (+ (exp (* -1 x)) (exp x)) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)) 0.294 * * * [progress]: adding candidates to table 0.399 * * [progress]: iteration 2 / 4 0.399 * * * [progress]: picking best candidate 0.406 * * * * [pick]: Picked # 0.406 * * * [progress]: localizing error 0.421 * * * [progress]: generating rewritten candidates 0.421 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 1 2 1) 0.427 * * * [progress]: generating series expansions 0.427 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 1 2 1) 0.427 * [approximate]: Taking taylor expansion of (* 1/12 (pow x 4)) in (x) around 0 0.427 * [taylor]: Taking taylor expansion of (* 1/12 (pow x 4)) in x 0.427 * [taylor]: Taking taylor expansion of 1/12 in x 0.427 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of (* 1/12 (pow x 4)) in x 0.428 * [taylor]: Taking taylor expansion of 1/12 in x 0.428 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [approximate]: Taking taylor expansion of (/ 1/12 (pow x 4)) in (x) around 0 0.428 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.428 * [taylor]: Taking taylor expansion of 1/12 in x 0.428 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.428 * [taylor]: Taking taylor expansion of 1/12 in x 0.428 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.429 * [approximate]: Taking taylor expansion of (/ 1/12 (pow x 4)) in (x) around 0 0.429 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.429 * [taylor]: Taking taylor expansion of 1/12 in x 0.429 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.429 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.429 * [taylor]: Taking taylor expansion of 1/12 in x 0.429 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.430 * * * [progress]: simplifying candidates 0.430 * [simplify]: Simplifying using # : (+ (log 1/12) (* (log x) 4)) (+ (log 1/12) (* (log x) 4)) (+ (log 1/12) (log (pow x 4))) (log (* 1/12 (pow x 4))) (exp (* 1/12 (pow x 4))) (* (* (* 1/12 1/12) 1/12) (* (* (pow x 4) (pow x 4)) (pow x 4))) (* (cbrt (* 1/12 (pow x 4))) (cbrt (* 1/12 (pow x 4)))) (cbrt (* 1/12 (pow x 4))) (* (* (* 1/12 (pow x 4)) (* 1/12 (pow x 4))) (* 1/12 (pow x 4))) (sqrt (* 1/12 (pow x 4))) (sqrt (* 1/12 (pow x 4))) (* (sqrt 1/12) (pow (sqrt x) 4)) (* (sqrt 1/12) (pow (sqrt x) 4)) (* (sqrt 1/12) (sqrt (pow x 4))) (* (sqrt 1/12) (sqrt (pow x 4))) (* (sqrt 1/12) (pow x (/ 4 2))) (* (sqrt 1/12) (pow x (/ 4 2))) (* 1/12 (pow (* (cbrt x) (cbrt x)) 4)) (* 1/12 (pow (sqrt x) 4)) (* 1/12 (pow 1 4)) (* 1/12 (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (* 1/12 (sqrt (pow x 4))) (* 1/12 1) (* 1/12 (pow x (/ 4 2))) (* (cbrt 1/12) (pow x 4)) (* (sqrt 1/12) (pow x 4)) (* 1/12 (pow x 4)) (* 1/12 (pow x 4)) (* 1/12 (pow x 4)) (* 1/12 (pow x 4)) 0.433 * * [simplify]: iteration 0 : 100 enodes (cost 97 ) 0.436 * * [simplify]: iteration 1 : 402 enodes (cost 92 ) 0.445 * * [simplify]: iteration 2 : 1830 enodes (cost 89 ) 0.500 * * [simplify]: iteration 3 : 5002 enodes (cost 89 ) 0.500 * [simplify]: Simplified to: (log (* 1/12 (pow x 4))) (log (* 1/12 (pow x 4))) (log (* 1/12 (pow x 4))) (log (* 1/12 (pow x 4))) (exp (* 1/12 (pow x 4))) (pow (* 1/12 (pow x 4)) 3) (* (cbrt (* 1/12 (pow x 4))) (cbrt (* 1/12 (pow x 4)))) (cbrt (* 1/12 (pow x 4))) (pow (* 1/12 (pow x 4)) 3) (sqrt (* 1/12 (pow x 4))) (sqrt (* 1/12 (pow x 4))) (* (sqrt 1/12) (pow x 2)) (* (sqrt 1/12) (pow x 2)) (* (sqrt 1/12) (sqrt (pow x 4))) (* (sqrt 1/12) (sqrt (pow x 4))) (* (sqrt 1/12) (pow x 2)) (* (sqrt 1/12) (pow x 2)) (* 1/12 (pow (* (cbrt x) (cbrt x)) 4)) (* 1/12 (pow x 2)) 1/12 (* 1/12 (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (* 1/12 (sqrt (pow x 4))) 1/12 (* 1/12 (pow x 2)) (* (cbrt 1/12) (pow x 4)) (* (sqrt 1/12) (pow x 4)) (* 1/12 (pow x 4)) (* 1/12 (pow x 4)) (* 1/12 (pow x 4)) (* 1/12 (pow x 4)) 0.501 * * * [progress]: adding candidates to table 0.663 * [progress]: [Phase 3 of 3] Extracting. 0.663 * * [regime]: Finding splitpoints for: (# #) 0.663 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.663 * * * * [regimes]: Trying to branch on y from (# #) 0.699 * * * * [regimes]: Trying to branch on x from (# #) 0.736 * * * [regime]: Found split indices: #