17.170 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.060 * * * * [points]: Sampling 256 additional inputs, on iter 0 have 0 / 256 0.063 * * * * [points]: Computing exacts on every 16 of 256 points to ramp up precision 0.063 * * * * [points]: Setting MPFR precision to 64 0.063 * * * * [points]: Setting MPFR precision to 320 0.063 * * * * [points]: Computing exacts on every 8 of 256 points to ramp up precision 0.063 * * * * [points]: Setting MPFR precision to 64 0.064 * * * * [points]: Setting MPFR precision to 320 0.064 * * * * [points]: Computing exacts on every 4 of 256 points to ramp up precision 0.064 * * * * [points]: Setting MPFR precision to 64 0.065 * * * * [points]: Setting MPFR precision to 320 0.065 * * * * [points]: Computing exacts on every 2 of 256 points to ramp up precision 0.065 * * * * [points]: Setting MPFR precision to 64 0.066 * * * * [points]: Setting MPFR precision to 320 0.067 * * * * [points]: Computing exacts for 256 points 0.067 * * * * [points]: Setting MPFR precision to 64 0.070 * * * * [points]: Setting MPFR precision to 320 0.073 * * * * [points]: Filtering points with unrepresentable outputs 0.073 * * * * [points]: Sampled 256 points with exact outputs 0.078 * * * [progress]: [2/2] Setting up program. 0.080 * [progress]: [Phase 2 of 3] Improving. 0.081 * [simplify]: Simplifying using # : (+ (* x x) (* y y)) 0.083 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.083 * * [simplify]: iteration 1 : 6 enodes (cost 7 ) 0.083 * [simplify]: Simplified to: (+ (* x x) (* y y)) 0.083 * * [progress]: iteration 1 / 4 0.083 * * * [progress]: picking best candidate 0.085 * * * * [pick]: Picked # 0.085 * * * [progress]: localizing error 0.090 * * * [progress]: generating rewritten candidates 0.090 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.094 * * * [progress]: generating series expansions 0.094 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.094 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.094 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.094 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.094 * [taylor]: Taking taylor expansion of x in y 0.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.094 * [taylor]: Taking taylor expansion of y in x 0.094 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.094 * [taylor]: Taking taylor expansion of y in x 0.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [taylor]: Taking taylor expansion of 1 in y 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.095 * [taylor]: Taking taylor expansion of x in y 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.095 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.095 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.095 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.096 * [taylor]: Taking taylor expansion of y in x 0.096 * [taylor]: Taking taylor expansion of 1 in y 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.096 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.096 * [taylor]: Taking taylor expansion of y in y 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.097 * [taylor]: Taking taylor expansion of x in y 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.097 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.097 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.097 * [taylor]: Taking taylor expansion of y in x 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.098 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [taylor]: Taking taylor expansion of 1 in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.098 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.099 * * * [progress]: simplifying candidates 0.099 * [simplify]: Simplifying using # : (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.120 * * [simplify]: iteration 0 : 5532 enodes (cost 131 ) 0.121 * [simplify]: Simplified to: (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow x 6) (pow y 6)) (+ (pow x 4) (- (pow y 4) (* x (* x (* y y))))) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 0.121 * * * [progress]: adding candidates to table 0.134 * [progress]: [Phase 3 of 3] Extracting. 0.139 * [simplify]: Simplifying using # : (+ (* x x) (* y y)) 0.139 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.140 * * [simplify]: iteration 1 : 6 enodes (cost 7 ) 0.140 * [simplify]: Simplified to: (+ (* x x) (* y y)) 0.140 * * * * [points]: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 0.205 * * * * [points]: Computing exacts on every 500 of 8000 points to ramp up precision 0.205 * * * * [points]: Setting MPFR precision to 64 0.205 * * * * [points]: Setting MPFR precision to 320 0.206 * * * * [points]: Computing exacts on every 250 of 8000 points to ramp up precision 0.206 * * * * [points]: Setting MPFR precision to 64 0.206 * * * * [points]: Setting MPFR precision to 320 0.206 * * * * [points]: Computing exacts on every 125 of 8000 points to ramp up precision 0.207 * * * * [points]: Setting MPFR precision to 64 0.207 * * * * [points]: Setting MPFR precision to 320 0.208 * * * * [points]: Computing exacts on every 62 of 8000 points to ramp up precision 0.208 * * * * [points]: Setting MPFR precision to 64 0.209 * * * * [points]: Setting MPFR precision to 320 0.211 * * * * [points]: Computing exacts on every 31 of 8000 points to ramp up precision 0.211 * * * * [points]: Setting MPFR precision to 64 0.213 * * * * [points]: Setting MPFR precision to 320 0.216 * * * * [points]: Computing exacts on every 15 of 8000 points to ramp up precision 0.216 * * * * [points]: Setting MPFR precision to 64 0.221 * * * * [points]: Setting MPFR precision to 320 0.226 * * * * [points]: Computing exacts on every 7 of 8000 points to ramp up precision 0.226 * * * * [points]: Setting MPFR precision to 64 0.237 * * * * [points]: Setting MPFR precision to 320 0.248 * * * * [points]: Computing exacts on every 3 of 8000 points to ramp up precision 0.248 * * * * [points]: Setting MPFR precision to 64 0.270 * * * * [points]: Setting MPFR precision to 320 0.292 * * * * [points]: Computing exacts for 8000 points 0.292 * * * * [points]: Setting MPFR precision to 64 0.376 * * * * [points]: Setting MPFR precision to 320 0.463 * * * * [points]: Setting MPFR precision to 576 0.554 * * * * [points]: Filtering points with unrepresentable outputs 0.566 * * * * [points]: Sampling 4 additional inputs, on iter 1 have 7998 / 8000 0.566 * * * * [points]: Computing exacts for 4 points 0.566 * * * * [points]: Setting MPFR precision to 320 0.566 * * * * [points]: Setting MPFR precision to 576 0.567 * * * * [points]: Filtering points with unrepresentable outputs 0.567 * * * * [points]: Sampled 8002 points with exact outputs 0.917 * [regime-testing]: End program error score: 0.007375