17.641 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.066 * * * * [points]: Sampling 256 additional inputs, on iter 0 have 0 / 256 0.069 * * * * [points]: Computing exacts on every 16 of 256 points to ramp up precision 0.069 * * * * [points]: Setting MPFR precision to 64 0.069 * * * * [points]: Setting MPFR precision to 320 0.069 * * * * [points]: Computing exacts on every 8 of 256 points to ramp up precision 0.069 * * * * [points]: Setting MPFR precision to 64 0.069 * * * * [points]: Setting MPFR precision to 320 0.070 * * * * [points]: Computing exacts on every 4 of 256 points to ramp up precision 0.070 * * * * [points]: Setting MPFR precision to 64 0.070 * * * * [points]: Setting MPFR precision to 320 0.071 * * * * [points]: Computing exacts on every 2 of 256 points to ramp up precision 0.071 * * * * [points]: Setting MPFR precision to 64 0.072 * * * * [points]: Setting MPFR precision to 320 0.072 * * * * [points]: Computing exacts for 256 points 0.073 * * * * [points]: Setting MPFR precision to 64 0.075 * * * * [points]: Setting MPFR precision to 320 0.077 * * * * [points]: Filtering points with unrepresentable outputs 0.078 * * * * [points]: Sampling 4 additional inputs, on iter 1 have 255 / 256 0.078 * * * * [points]: Computing exacts for 4 points 0.078 * * * * [points]: Setting MPFR precision to 64 0.078 * * * * [points]: Setting MPFR precision to 320 0.078 * * * * [points]: Filtering points with unrepresentable outputs 0.078 * * * * [points]: Sampled 259 points with exact outputs 0.086 * * * [progress]: [2/2] Setting up program. 0.088 * [progress]: [Phase 2 of 3] Improving. 0.089 * [simplify]: Simplifying using # : (- x (* y y)) 0.093 * * [simplify]: iteration 0 : 89 enodes (cost 5 ) 0.094 * * [simplify]: iteration 1 : 89 enodes (cost 5 ) 0.094 * [simplify]: Simplified to: (- x (* y y)) 0.094 * * [progress]: iteration 1 / 4 0.094 * * * [progress]: picking best candidate 0.096 * * * * [pick]: Picked # 0.096 * * * [progress]: localizing error 0.099 * * * [progress]: generating rewritten candidates 0.099 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.103 * * * [progress]: generating series expansions 0.103 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.103 * [approximate]: Taking taylor expansion of (- x (pow y 2)) in (x y) around 0 0.103 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in y 0.103 * [taylor]: Taking taylor expansion of x in y 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.103 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.103 * [taylor]: Taking taylor expansion of (neg (pow y 2)) in y 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of 1 in y 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.104 * [taylor]: Taking taylor expansion of 0 in y 0.104 * [approximate]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 0.104 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.104 * [taylor]: Taking taylor expansion of x in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.104 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.104 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.104 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [taylor]: Taking taylor expansion of 1 in y 0.105 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.105 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [approximate]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in (x y) around 0 0.106 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in y 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.107 * [taylor]: Taking taylor expansion of x in y 0.107 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (neg 1) in y 0.107 * [taylor]: Taking taylor expansion of 1 in y 0.107 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.109 * [taylor]: Taking taylor expansion of 0 in y 0.109 * * * [progress]: simplifying candidates 0.110 * [simplify]: Simplifying using # : (/ (exp x) (exp (* y y))) (log (- x (* y y))) (exp (- x (* y y))) (* (cbrt (- x (* y y))) (cbrt (- x (* y y)))) (cbrt (- x (* y y))) (* (* (- x (* y y)) (- x (* y y))) (- x (* y y))) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (- (pow x 3) (pow (* y y) 3)) (+ (* x x) (+ (* (* y y) (* y y)) (* x (* y y)))) (neg (* y y)) (- (* x x) (* (* y y) (* y y))) (+ x (* y y)) (+ (sqrt x) y) (- (sqrt x) y) (- x (pow y 2)) (- x (pow y 2)) (- x (pow y 2)) 0.143 * * [simplify]: iteration 0 : 4939 enodes (cost 113 ) 0.143 * * [simplify]: iteration 1 : 4939 enodes (cost 113 ) 0.144 * [simplify]: Simplified to: (exp (- x (* y y))) (log (- x (* y y))) (exp (- x (* y y))) (* (cbrt (- x (* y y))) (cbrt (- x (* y y)))) (cbrt (- x (* y y))) (pow (- x (* y y)) 3) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (- (pow x 3) (pow y 6)) (+ (pow y 4) (* x (+ x (* y y)))) (* y (neg y)) (- (* x x) (pow y 4)) (+ x (* y y)) (+ y (sqrt x)) (- (sqrt x) y) (- x (* y y)) (- x (* y y)) (- x (* y y)) 0.144 * * * [progress]: adding candidates to table 0.158 * [progress]: [Phase 3 of 3] Extracting. 0.161 * [simplify]: Simplifying using # : (- x (* y y)) 0.162 * * [simplify]: iteration 0 : 22 enodes (cost 5 ) 0.162 * * [simplify]: iteration 1 : 22 enodes (cost 5 ) 0.162 * [simplify]: Simplified to: (- x (* y y)) 0.162 * * * * [points]: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 0.227 * * * * [points]: Computing exacts on every 500 of 8000 points to ramp up precision 0.227 * * * * [points]: Setting MPFR precision to 64 0.227 * * * * [points]: Setting MPFR precision to 320 0.228 * * * * [points]: Computing exacts on every 250 of 8000 points to ramp up precision 0.228 * * * * [points]: Setting MPFR precision to 64 0.228 * * * * [points]: Setting MPFR precision to 320 0.228 * * * * [points]: Computing exacts on every 125 of 8000 points to ramp up precision 0.228 * * * * [points]: Setting MPFR precision to 64 0.229 * * * * [points]: Setting MPFR precision to 320 0.230 * * * * [points]: Computing exacts on every 62 of 8000 points to ramp up precision 0.230 * * * * [points]: Setting MPFR precision to 64 0.231 * * * * [points]: Setting MPFR precision to 320 0.232 * * * * [points]: Computing exacts on every 31 of 8000 points to ramp up precision 0.232 * * * * [points]: Setting MPFR precision to 64 0.235 * * * * [points]: Setting MPFR precision to 320 0.237 * * * * [points]: Computing exacts on every 15 of 8000 points to ramp up precision 0.237 * * * * [points]: Setting MPFR precision to 64 0.242 * * * * [points]: Setting MPFR precision to 320 0.247 * * * * [points]: Computing exacts on every 7 of 8000 points to ramp up precision 0.247 * * * * [points]: Setting MPFR precision to 64 0.260 * * * * [points]: Setting MPFR precision to 320 0.270 * * * * [points]: Computing exacts on every 3 of 8000 points to ramp up precision 0.270 * * * * [points]: Setting MPFR precision to 64 0.288 * * * * [points]: Setting MPFR precision to 320 0.307 * * * * [points]: Setting MPFR precision to 576 0.328 * * * * [points]: Computing exacts for 8000 points 0.329 * * * * [points]: Setting MPFR precision to 320 0.406 * * * * [points]: Setting MPFR precision to 576 0.487 * * * * [points]: Filtering points with unrepresentable outputs 0.501 * * * * [points]: Sampling 7 additional inputs, on iter 1 have 7993 / 8000 0.501 * * * * [points]: Computing exacts for 7 points 0.502 * * * * [points]: Setting MPFR precision to 320 0.502 * * * * [points]: Setting MPFR precision to 576 0.502 * * * * [points]: Filtering points with unrepresentable outputs 0.502 * * * * [points]: Sampled 8000 points with exact outputs 0.821 * [regime-testing]: End program error score: 0.00425