4.018 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying: (- (* x x) 1.0) 0.014 * [simplify]: Sending expressions to egg_math: (- (* h1 h1) h0) 0.016 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.017 * * * * [pick]: Picked # 0.017 * * * [progress]: localizing error 0.020 * * * [progress]: generating rewritten candidates 0.020 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.029 * * * [progress]: generating series expansions 0.029 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.029 * [backup-simplify]: Simplify (- (* x x) 1.0) into (- (pow x 2) 1.0) 0.029 * [approximate]: Taking taylor expansion of (- (pow x 2) 1.0) in (x) around 0 0.029 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [backup-simplify]: Simplify 0 into 0 0.029 * [backup-simplify]: Simplify 1 into 1 0.029 * [taylor]: Taking taylor expansion of 1.0 in x 0.029 * [backup-simplify]: Simplify 1.0 into 1.0 0.029 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [backup-simplify]: Simplify 0 into 0 0.029 * [backup-simplify]: Simplify 1 into 1 0.029 * [taylor]: Taking taylor expansion of 1.0 in x 0.029 * [backup-simplify]: Simplify 1.0 into 1.0 0.029 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.030 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.030 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.031 * [backup-simplify]: Simplify (- 0) into 0 0.031 * [backup-simplify]: Simplify (+ 0 0) into 0 0.031 * [backup-simplify]: Simplify 0 into 0 0.031 * [backup-simplify]: Simplify (* 1 1) into 1 0.031 * [backup-simplify]: Simplify (- 0) into 0 0.031 * [backup-simplify]: Simplify (+ 1 0) into 1 0.031 * [backup-simplify]: Simplify 1 into 1 0.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.032 * [backup-simplify]: Simplify (- 0) into 0 0.032 * [backup-simplify]: Simplify (+ 0 0) into 0 0.032 * [backup-simplify]: Simplify 0 into 0 0.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.033 * [backup-simplify]: Simplify (- 0) into 0 0.033 * [backup-simplify]: Simplify (+ 0 0) into 0 0.033 * [backup-simplify]: Simplify 0 into 0 0.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.034 * [backup-simplify]: Simplify (- 0) into 0 0.034 * [backup-simplify]: Simplify (+ 0 0) into 0 0.034 * [backup-simplify]: Simplify 0 into 0 0.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.035 * [backup-simplify]: Simplify (- 0) into 0 0.035 * [backup-simplify]: Simplify (+ 0 0) into 0 0.035 * [backup-simplify]: Simplify 0 into 0 0.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.036 * [backup-simplify]: Simplify (- 0) into 0 0.037 * [backup-simplify]: Simplify (+ 0 0) into 0 0.037 * [backup-simplify]: Simplify 0 into 0 0.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.038 * [backup-simplify]: Simplify (- 0) into 0 0.038 * [backup-simplify]: Simplify (+ 0 0) into 0 0.038 * [backup-simplify]: Simplify 0 into 0 0.038 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) (- 1.0)) into (- (pow x 2) 1.0) 0.038 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) 1.0) into (- (/ 1 (pow x 2)) 1.0) 0.038 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.038 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.038 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [backup-simplify]: Simplify 0 into 0 0.038 * [backup-simplify]: Simplify 1 into 1 0.039 * [backup-simplify]: Simplify (* 1 1) into 1 0.039 * [backup-simplify]: Simplify (/ 1 1) into 1 0.039 * [taylor]: Taking taylor expansion of 1.0 in x 0.039 * [backup-simplify]: Simplify 1.0 into 1.0 0.039 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [backup-simplify]: Simplify 0 into 0 0.039 * [backup-simplify]: Simplify 1 into 1 0.039 * [backup-simplify]: Simplify (* 1 1) into 1 0.040 * [backup-simplify]: Simplify (/ 1 1) into 1 0.040 * [taylor]: Taking taylor expansion of 1.0 in x 0.040 * [backup-simplify]: Simplify 1.0 into 1.0 0.040 * [backup-simplify]: Simplify (+ 1 0) into 1 0.040 * [backup-simplify]: Simplify 1 into 1 0.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.041 * [backup-simplify]: Simplify (+ 0 0) into 0 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.042 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.043 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.043 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.044 * [backup-simplify]: Simplify (- 0) into 0 0.044 * [backup-simplify]: Simplify (+ 0 0) into 0 0.044 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.046 * [backup-simplify]: Simplify (- 0) into 0 0.046 * [backup-simplify]: Simplify (+ 0 0) into 0 0.046 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.047 * [backup-simplify]: Simplify (- 0) into 0 0.048 * [backup-simplify]: Simplify (+ 0 0) into 0 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.049 * [backup-simplify]: Simplify (- 0) into 0 0.049 * [backup-simplify]: Simplify (+ 0 0) into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.056 * [backup-simplify]: Simplify (- 0) into 0 0.056 * [backup-simplify]: Simplify (+ 0 0) into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 0.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.058 * [backup-simplify]: Simplify (- 0) into 0 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (+ (- 1.0) (* 1 (pow (/ 1 (/ 1 x)) 2))) into (- (pow x 2) 1.0) 0.059 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) 1.0) into (- (/ 1 (pow x 2)) 1.0) 0.059 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.059 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (* 1 1) into 1 0.059 * [backup-simplify]: Simplify (/ 1 1) into 1 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [backup-simplify]: Simplify 1.0 into 1.0 0.059 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (* 1 1) into 1 0.060 * [backup-simplify]: Simplify (/ 1 1) into 1 0.060 * [taylor]: Taking taylor expansion of 1.0 in x 0.060 * [backup-simplify]: Simplify 1.0 into 1.0 0.060 * [backup-simplify]: Simplify (+ 1 0) into 1 0.060 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.061 * [backup-simplify]: Simplify (+ 0 0) into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.063 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.063 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.065 * [backup-simplify]: Simplify (- 0) into 0 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (- 0) into 0 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (- 0) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (- 0) into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify (- 0) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (- 0) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (+ (- 1.0) (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (- (pow x 2) 1.0) 0.075 * * * [progress]: simplifying candidates 0.075 * [simplify]: Simplifying: (/ (exp (* x x)) (exp 1.0)) (log (- (* x x) 1.0)) (exp (- (* x x) 1.0)) (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0))) (cbrt (- (* x x) 1.0)) (* (* (- (* x x) 1.0) (- (* x x) 1.0)) (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)) (- (pow (* x x) 3) (pow 1.0 3)) (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0))) (- 1.0) (- (* (* x x) (* x x)) (* 1.0 1.0)) (+ (* x x) 1.0) (+ x (sqrt 1.0)) (- x (sqrt 1.0)) (- 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) 0.075 * [simplify]: Sending expressions to egg_math: (/ (exp (* h1 h1)) (exp h0)) (log (- (* h1 h1) h0)) (exp (- (* h1 h1) h0)) (* (cbrt (- (* h1 h1) h0)) (cbrt (- (* h1 h1) h0))) (cbrt (- (* h1 h1) h0)) (* (* (- (* h1 h1) h0) (- (* h1 h1) h0)) (- (* h1 h1) h0)) (sqrt (- (* h1 h1) h0)) (sqrt (- (* h1 h1) h0)) (- (pow (* h1 h1) 3) (pow h0 3)) (+ (* (* h1 h1) (* h1 h1)) (+ (* h0 h0) (* (* h1 h1) h0))) (- h0) (- (* (* h1 h1) (* h1 h1)) (* h0 h0)) (+ (* h1 h1) h0) (+ h1 (sqrt h0)) (- h1 (sqrt h0)) (- h0) (- (pow h1 2) h0) (- (pow h1 2) h0) (- (pow h1 2) h0) 0.128 * * * [progress]: adding candidates to table 0.153 * * [progress]: iteration 2 / 4 0.153 * * * [progress]: picking best candidate 0.154 * * * * [pick]: Picked # 0.154 * * * [progress]: localizing error 0.160 * * * [progress]: generating rewritten candidates 0.160 * * * [progress]: generating series expansions 0.160 * * * [progress]: simplifying candidates 0.160 * [simplify]: Simplifying: 0.160 * [simplify]: Sending expressions to egg_math: 0.162 * * * [progress]: adding candidates to table 0.162 * [progress]: [Phase 3 of 3] Extracting. 0.164 * [simplify]: Simplifying: (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) 0.164 * [simplify]: Sending expressions to egg_math: (* (+ h1 (sqrt h0)) (- h1 (sqrt h0))) 0.629 * [regime-testing]: Baseline error score: 0.014501812726590823 0.631 * [regime-testing]: Oracle error score: 0.014501812726590823 0.631 * [regime-testing]: End program error score: 0.014501812726590823