9.283 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying: (* x (+ y y)) 0.016 * [simplify]: Sending expressions to egg_math: (* h1 (+ h0 h0)) 0.018 * * [progress]: iteration 1 / 4 0.018 * * * [progress]: picking best candidate 0.019 * * * * [pick]: Picked # 0.019 * * * [progress]: localizing error 0.023 * * * [progress]: generating rewritten candidates 0.023 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.045 * * * [progress]: generating series expansions 0.045 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.045 * [backup-simplify]: Simplify (* x (+ y y)) into (* 2 (* x y)) 0.045 * [approximate]: Taking taylor expansion of (* 2 (* x y)) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.046 * [taylor]: Taking taylor expansion of 2 in y 0.046 * [backup-simplify]: Simplify 2 into 2 0.046 * [taylor]: Taking taylor expansion of (* x y) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [backup-simplify]: Simplify x into x 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.046 * [taylor]: Taking taylor expansion of 2 in x 0.046 * [backup-simplify]: Simplify 2 into 2 0.046 * [taylor]: Taking taylor expansion of (* x y) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [backup-simplify]: Simplify y into y 0.046 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.046 * [taylor]: Taking taylor expansion of 2 in x 0.046 * [backup-simplify]: Simplify 2 into 2 0.046 * [taylor]: Taking taylor expansion of (* x y) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [backup-simplify]: Simplify y into y 0.046 * [backup-simplify]: Simplify (* 0 y) into 0 0.046 * [backup-simplify]: Simplify (* 2 0) into 0 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.047 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 0.047 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.047 * [taylor]: Taking taylor expansion of 2 in y 0.047 * [backup-simplify]: Simplify 2 into 2 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [backup-simplify]: Simplify (* 2 0) into 0 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.048 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.049 * [backup-simplify]: Simplify 2 into 2 0.049 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.050 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.053 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (* 2 (* y x)) into (* 2 (* x y)) 0.053 * [backup-simplify]: Simplify (* (/ 1 x) (+ (/ 1 y) (/ 1 y))) into (/ 2 (* x y)) 0.053 * [approximate]: Taking taylor expansion of (/ 2 (* x y)) in (x y) around 0 0.053 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in y 0.053 * [taylor]: Taking taylor expansion of 2 in y 0.053 * [backup-simplify]: Simplify 2 into 2 0.053 * [taylor]: Taking taylor expansion of (* x y) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [backup-simplify]: Simplify x into x 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (* x 0) into 0 0.054 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.054 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 0.054 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 0.054 * [taylor]: Taking taylor expansion of 2 in x 0.054 * [backup-simplify]: Simplify 2 into 2 0.054 * [taylor]: Taking taylor expansion of (* x y) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [backup-simplify]: Simplify y into y 0.054 * [backup-simplify]: Simplify (* 0 y) into 0 0.054 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.054 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 0.054 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 0.054 * [taylor]: Taking taylor expansion of 2 in x 0.054 * [backup-simplify]: Simplify 2 into 2 0.054 * [taylor]: Taking taylor expansion of (* x y) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [backup-simplify]: Simplify y into y 0.054 * [backup-simplify]: Simplify (* 0 y) into 0 0.054 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.055 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 0.055 * [taylor]: Taking taylor expansion of (/ 2 y) in y 0.055 * [taylor]: Taking taylor expansion of 2 in y 0.055 * [backup-simplify]: Simplify 2 into 2 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [backup-simplify]: Simplify (/ 2 1) into 2 0.055 * [backup-simplify]: Simplify 2 into 2 0.055 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.056 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)))) into 0 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.057 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.059 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* 2 (* x y)) 0.059 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- y)))) into (/ 2 (* x y)) 0.060 * [approximate]: Taking taylor expansion of (/ 2 (* x y)) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in y 0.060 * [taylor]: Taking taylor expansion of 2 in y 0.060 * [backup-simplify]: Simplify 2 into 2 0.060 * [taylor]: Taking taylor expansion of (* x y) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [backup-simplify]: Simplify x into x 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (* x 0) into 0 0.060 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.060 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 0.060 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 0.060 * [taylor]: Taking taylor expansion of 2 in x 0.060 * [backup-simplify]: Simplify 2 into 2 0.060 * [taylor]: Taking taylor expansion of (* x y) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [backup-simplify]: Simplify y into y 0.060 * [backup-simplify]: Simplify (* 0 y) into 0 0.060 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.060 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 0.060 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 0.060 * [taylor]: Taking taylor expansion of 2 in x 0.060 * [backup-simplify]: Simplify 2 into 2 0.061 * [taylor]: Taking taylor expansion of (* x y) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [backup-simplify]: Simplify y into y 0.061 * [backup-simplify]: Simplify (* 0 y) into 0 0.061 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.061 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 0.061 * [taylor]: Taking taylor expansion of (/ 2 y) in y 0.061 * [taylor]: Taking taylor expansion of 2 in y 0.061 * [backup-simplify]: Simplify 2 into 2 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.067 * [backup-simplify]: Simplify (/ 2 1) into 2 0.067 * [backup-simplify]: Simplify 2 into 2 0.068 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.068 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)))) into 0 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.069 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.071 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* 2 (* x y)) 0.072 * * * [progress]: simplifying candidates 0.072 * [simplify]: Simplifying: (* x (+ y y)) (+ (log x) (log (+ y y))) (log (* x (+ y y))) (exp (* x (+ y y))) (* (* (* x x) x) (* (* (+ y y) (+ y y)) (+ 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))) (* (sqrt x) (sqrt (+ y y))) (* (sqrt x) (sqrt (+ y y))) (* x y) (* x y) (* y x) (* y x) (* x (* (cbrt (+ y y)) (cbrt (+ y y)))) (* x (sqrt (+ y y))) (* x 1) (* x (* (cbrt y) (cbrt y))) (* x (sqrt y)) (* x 1) (* x (cbrt y)) (* x (sqrt y)) (* x y) (* x (+ 1 1)) (* x (+ 1 1)) (* x 2) (* (cbrt x) (+ y y)) (* (sqrt x) (+ y y)) (* x (+ y y)) (* x (+ (pow y 3) (pow y 3))) (* x (- (* y y) (* y y))) (* 2 (* x y)) (* 2 (* x y)) (* 2 (* x y)) 0.072 * [simplify]: Sending expressions to egg_math: (* h1 (+ h0 h0)) (+ (log h1) (log (+ h0 h0))) (log (* h1 (+ h0 h0))) (exp (* h1 (+ h0 h0))) (* (* (* h1 h1) h1) (* (* (+ h0 h0) (+ h0 h0)) (+ h0 h0))) (* (cbrt (* h1 (+ h0 h0))) (cbrt (* h1 (+ h0 h0)))) (cbrt (* h1 (+ h0 h0))) (* (* (* h1 (+ h0 h0)) (* h1 (+ h0 h0))) (* h1 (+ h0 h0))) (sqrt (* h1 (+ h0 h0))) (sqrt (* h1 (+ h0 h0))) (* (sqrt h1) (sqrt (+ h0 h0))) (* (sqrt h1) (sqrt (+ h0 h0))) (* h1 h0) (* h1 h0) (* h0 h1) (* h0 h1) (* h1 (* (cbrt (+ h0 h0)) (cbrt (+ h0 h0)))) (* h1 (sqrt (+ h0 h0))) (* h1 1) (* h1 (* (cbrt h0) (cbrt h0))) (* h1 (sqrt h0)) (* h1 1) (* h1 (cbrt h0)) (* h1 (sqrt h0)) (* h1 h0) (* h1 (+ 1 1)) (* h1 (+ 1 1)) (* h1 2) (* (cbrt h1) (+ h0 h0)) (* (sqrt h1) (+ h0 h0)) (* h1 (+ h0 h0)) (* h1 (+ (pow h0 3) (pow h0 3))) (* h1 (- (* h0 h0) (* h0 h0))) (* 2 (* h1 h0)) (* 2 (* h1 h0)) (* 2 (* h1 h0)) 0.158 * * * [progress]: adding candidates to table 0.197 * * [progress]: iteration 2 / 4 0.197 * * * [progress]: picking best candidate 0.198 * * * * [pick]: Picked # 0.198 * * * [progress]: localizing error 0.206 * * * [progress]: generating rewritten candidates 0.206 * * * [progress]: generating series expansions 0.206 * * * [progress]: simplifying candidates 0.206 * [simplify]: Simplifying: 0.206 * [simplify]: Sending expressions to egg_math: 0.208 * * * [progress]: adding candidates to table 0.208 * [progress]: [Phase 3 of 3] Extracting. 0.209 * [simplify]: Simplifying: (* (* x 2) y) 0.209 * [simplify]: Sending expressions to egg_math: (* (* h1 2) h0) 0.732 * [regime-testing]: Baseline error score: 0.008001000125015627 0.734 * [regime-testing]: Oracle error score: 0.008001000125015627 0.734 * [regime-testing]: End program error score: 0.008001000125015627