10.670 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying: (/ (* x y) 2.0) 0.015 * [simplify]: Sending expressions to egg_math: (/ (* h1 h0) 2.0) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.036 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.041 * * * [progress]: generating rewritten candidates 0.041 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.052 * * * [progress]: generating series expansions 0.052 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.052 * [backup-simplify]: Simplify (/ (* x y) 2.0) into (* 0.5 (* x y)) 0.052 * [approximate]: Taking taylor expansion of (* 0.5 (* x y)) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.052 * [taylor]: Taking taylor expansion of 0.5 in y 0.052 * [backup-simplify]: Simplify 0.5 into 0.5 0.052 * [taylor]: Taking taylor expansion of (* x y) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [backup-simplify]: Simplify x into x 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.052 * [taylor]: Taking taylor expansion of 0.5 in x 0.052 * [backup-simplify]: Simplify 0.5 into 0.5 0.052 * [taylor]: Taking taylor expansion of (* x y) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [backup-simplify]: Simplify y into y 0.053 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.053 * [taylor]: Taking taylor expansion of 0.5 in x 0.053 * [backup-simplify]: Simplify 0.5 into 0.5 0.053 * [taylor]: Taking taylor expansion of (* x y) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [backup-simplify]: Simplify y into y 0.053 * [backup-simplify]: Simplify (* 0 y) into 0 0.053 * [backup-simplify]: Simplify (* 0.5 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 0.054 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.054 * [backup-simplify]: Simplify (+ (* 0.5 y) (* 0 0)) into (* 0.5 y) 0.054 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.054 * [taylor]: Taking taylor expansion of 0.5 in y 0.054 * [backup-simplify]: Simplify 0.5 into 0.5 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.055 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 y) (* 0 0))) into 0 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 0.056 * [backup-simplify]: Simplify 0.5 into 0.5 0.056 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.058 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.060 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (* 0.5 (* y x)) into (* 0.5 (* x y)) 0.061 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 y)) 2.0) into (/ 0.5 (* x y)) 0.061 * [approximate]: Taking taylor expansion of (/ 0.5 (* x y)) in (x y) around 0 0.061 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.061 * [taylor]: Taking taylor expansion of 0.5 in y 0.061 * [backup-simplify]: Simplify 0.5 into 0.5 0.061 * [taylor]: Taking taylor expansion of (* x y) in y 0.061 * [taylor]: Taking taylor expansion of x in y 0.061 * [backup-simplify]: Simplify x into x 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 0.061 * [backup-simplify]: Simplify (* x 0) into 0 0.061 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.061 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 0.061 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.061 * [taylor]: Taking taylor expansion of 0.5 in x 0.061 * [backup-simplify]: Simplify 0.5 into 0.5 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 0.062 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.062 * [backup-simplify]: Simplify (/ 0.5 y) into (/ 0.5 y) 0.062 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.062 * [taylor]: Taking taylor expansion of 0.5 in x 0.062 * [backup-simplify]: Simplify 0.5 into 0.5 0.062 * [taylor]: Taking taylor expansion of (* x y) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [backup-simplify]: Simplify y into y 0.062 * [backup-simplify]: Simplify (* 0 y) into 0 0.062 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.062 * [backup-simplify]: Simplify (/ 0.5 y) into (/ 0.5 y) 0.062 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.062 * [taylor]: Taking taylor expansion of 0.5 in y 0.062 * [backup-simplify]: Simplify 0.5 into 0.5 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 0.063 * [backup-simplify]: Simplify 0.5 into 0.5 0.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.069 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 0.5 y) (/ 0 y)))) into 0 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.071 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 0.5 y) (/ 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 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.072 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 0.5 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (* 0.5 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* 0.5 (* x y)) 0.073 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- y))) 2.0) into (/ 0.5 (* x y)) 0.073 * [approximate]: Taking taylor expansion of (/ 0.5 (* x y)) in (x y) around 0 0.073 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.073 * [taylor]: Taking taylor expansion of 0.5 in y 0.073 * [backup-simplify]: Simplify 0.5 into 0.5 0.073 * [taylor]: Taking taylor expansion of (* x y) in y 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [backup-simplify]: Simplify x into x 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (* x 0) into 0 0.074 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.074 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 0.074 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.074 * [taylor]: Taking taylor expansion of 0.5 in x 0.074 * [backup-simplify]: Simplify 0.5 into 0.5 0.074 * [taylor]: Taking taylor expansion of (* x y) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [backup-simplify]: Simplify y into y 0.074 * [backup-simplify]: Simplify (* 0 y) into 0 0.074 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.074 * [backup-simplify]: Simplify (/ 0.5 y) into (/ 0.5 y) 0.074 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.074 * [taylor]: Taking taylor expansion of 0.5 in x 0.074 * [backup-simplify]: Simplify 0.5 into 0.5 0.074 * [taylor]: Taking taylor expansion of (* x y) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [backup-simplify]: Simplify y into y 0.074 * [backup-simplify]: Simplify (* 0 y) into 0 0.075 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.075 * [backup-simplify]: Simplify (/ 0.5 y) into (/ 0.5 y) 0.075 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.075 * [taylor]: Taking taylor expansion of 0.5 in y 0.075 * [backup-simplify]: Simplify 0.5 into 0.5 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 0.075 * [backup-simplify]: Simplify 0.5 into 0.5 0.076 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.076 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 0.5 y) (/ 0 y)))) into 0 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.077 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 0.5 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.079 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 0.5 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (* 0.5 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* 0.5 (* x y)) 0.080 * * * [progress]: simplifying candidates 0.081 * [simplify]: Simplifying: (- (+ (log x) (log y)) (log 2.0)) (- (log (* x y)) (log 2.0)) (log (/ (* x y) 2.0)) (exp (/ (* x y) 2.0)) (/ (* (* (* x x) x) (* (* y y) y)) (* (* 2.0 2.0) 2.0)) (/ (* (* (* x y) (* x y)) (* x y)) (* (* 2.0 2.0) 2.0)) (* (cbrt (/ (* x y) 2.0)) (cbrt (/ (* x y) 2.0))) (cbrt (/ (* x y) 2.0)) (* (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (/ (* x y) 2.0)) (sqrt (/ (* x y) 2.0)) (sqrt (/ (* x y) 2.0)) (- (* x y)) (- 2.0) (/ x (* (cbrt 2.0) (cbrt 2.0))) (/ y (cbrt 2.0)) (/ x (sqrt 2.0)) (/ y (sqrt 2.0)) (/ x 1) (/ y 2.0) (/ 1 2.0) (/ 2.0 (* x y)) (/ (* x y) (* (cbrt 2.0) (cbrt 2.0))) (/ (* x y) (sqrt 2.0)) (/ (* x y) 1) (/ 2.0 y) (* 0.5 (* x y)) (* 0.5 (* x y)) (* 0.5 (* x y)) 0.081 * [simplify]: Sending expressions to egg_math: (- (+ (log h1) (log h0)) (log 2.0)) (- (log (* h1 h0)) (log 2.0)) (log (/ (* h1 h0) 2.0)) (exp (/ (* h1 h0) 2.0)) (/ (* (* (* h1 h1) h1) (* (* h0 h0) h0)) (* (* 2.0 2.0) 2.0)) (/ (* (* (* h1 h0) (* h1 h0)) (* h1 h0)) (* (* 2.0 2.0) 2.0)) (* (cbrt (/ (* h1 h0) 2.0)) (cbrt (/ (* h1 h0) 2.0))) (cbrt (/ (* h1 h0) 2.0)) (* (* (/ (* h1 h0) 2.0) (/ (* h1 h0) 2.0)) (/ (* h1 h0) 2.0)) (sqrt (/ (* h1 h0) 2.0)) (sqrt (/ (* h1 h0) 2.0)) (- (* h1 h0)) (- 2.0) (/ h1 (* (cbrt 2.0) (cbrt 2.0))) (/ h0 (cbrt 2.0)) (/ h1 (sqrt 2.0)) (/ h0 (sqrt 2.0)) (/ h1 1) (/ h0 2.0) (/ 1 2.0) (/ 2.0 (* h1 h0)) (/ (* h1 h0) (* (cbrt 2.0) (cbrt 2.0))) (/ (* h1 h0) (sqrt 2.0)) (/ (* h1 h0) 1) (/ 2.0 h0) (* h2 (* h1 h0)) (* h2 (* h1 h0)) (* h2 (* h1 h0)) 1.094 * * * [progress]: adding candidates to table 1.138 * * [progress]: iteration 2 / 4 1.138 * * * [progress]: picking best candidate 1.139 * * * * [pick]: Picked # 1.139 * * * [progress]: localizing error 1.143 * * * [progress]: generating rewritten candidates 1.143 * * * [progress]: generating series expansions 1.143 * * * [progress]: simplifying candidates 1.143 * [simplify]: Simplifying: 1.143 * [simplify]: Sending expressions to egg_math: 1.157 * * * [progress]: adding candidates to table 1.157 * [progress]: [Phase 3 of 3] Extracting. 1.160 * [simplify]: Simplifying: (* x (/ y 2.0)) 1.160 * [simplify]: Sending expressions to egg_math: (* h1 (/ h0 2.0)) 1.932 * [regime-testing]: Baseline error score: 0.0003231607076786043 1.936 * [regime-testing]: Oracle error score: 0.0003231607076786043 1.936 * [regime-testing]: End program error score: 0.0003231607076786043