5.326 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying: (/ (* x y) 2.0) 0.014 * [simplify]: Sending expressions to egg_math: (/ (* h0 h1) h2) 0.016 * * [simplify]: iteration 0 : 8 enodes (cost 2 ) 0.018 * * [simplify]: iteration 1 : 12 enodes (cost 2 ) 0.019 * * [simplify]: iteration 2 : 15 enodes (cost 2 ) 0.020 * * [simplify]: iteration 3 : 16 enodes (cost 2 ) 0.021 * * [simplify]: iteration 4 : 16 enodes (cost 2 ) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.037 * * * [progress]: generating series expansions 0.037 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.037 * [backup-simplify]: Simplify (/ (* x y) 2.0) into (* 0.5 (* x y)) 0.037 * [approximate]: Taking taylor expansion of (* 0.5 (* x y)) in (x y) around 0 0.037 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.037 * [taylor]: Taking taylor expansion of 0.5 in y 0.037 * [backup-simplify]: Simplify 0.5 into 0.5 0.037 * [taylor]: Taking taylor expansion of (* x y) in y 0.037 * [taylor]: Taking taylor expansion of x in y 0.037 * [backup-simplify]: Simplify x into x 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [backup-simplify]: Simplify 0 into 0 0.037 * [backup-simplify]: Simplify 1 into 1 0.037 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.037 * [taylor]: Taking taylor expansion of 0.5 in x 0.037 * [backup-simplify]: Simplify 0.5 into 0.5 0.037 * [taylor]: Taking taylor expansion of (* x y) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [backup-simplify]: Simplify 0 into 0 0.037 * [backup-simplify]: Simplify 1 into 1 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [backup-simplify]: Simplify y into y 0.037 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.037 * [taylor]: Taking taylor expansion of 0.5 in x 0.037 * [backup-simplify]: Simplify 0.5 into 0.5 0.037 * [taylor]: Taking taylor expansion of (* x y) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [backup-simplify]: Simplify 0 into 0 0.037 * [backup-simplify]: Simplify 1 into 1 0.037 * [taylor]: Taking taylor expansion of y in x 0.038 * [backup-simplify]: Simplify y into y 0.038 * [backup-simplify]: Simplify (* 0 y) into 0 0.038 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [backup-simplify]: Simplify 0 into 0 0.038 * [backup-simplify]: Simplify 0 into 0 0.038 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.039 * [backup-simplify]: Simplify (+ (* 0.5 y) (* 0 0)) into (* 0.5 y) 0.039 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.039 * [taylor]: Taking taylor expansion of 0.5 in y 0.039 * [backup-simplify]: Simplify 0.5 into 0.5 0.039 * [taylor]: Taking taylor expansion of y in y 0.039 * [backup-simplify]: Simplify 0 into 0 0.039 * [backup-simplify]: Simplify 1 into 1 0.039 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.039 * [backup-simplify]: Simplify 0 into 0 0.039 * [backup-simplify]: Simplify 0 into 0 0.039 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.040 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 y) (* 0 0))) into 0 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [backup-simplify]: Simplify 0 into 0 0.040 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 0.041 * [backup-simplify]: Simplify 0.5 into 0.5 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.042 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.044 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify (* 0.5 (* y x)) into (* 0.5 (* x y)) 0.045 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 y)) 2.0) into (/ 0.5 (* x y)) 0.045 * [approximate]: Taking taylor expansion of (/ 0.5 (* x y)) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.045 * [taylor]: Taking taylor expansion of 0.5 in y 0.045 * [backup-simplify]: Simplify 0.5 into 0.5 0.045 * [taylor]: Taking taylor expansion of (* x y) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [backup-simplify]: Simplify x into x 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [backup-simplify]: Simplify (* x 0) into 0 0.045 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.045 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 0.045 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.045 * [taylor]: Taking taylor expansion of 0.5 in x 0.045 * [backup-simplify]: Simplify 0.5 into 0.5 0.045 * [taylor]: Taking taylor expansion of (* x y) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [backup-simplify]: Simplify y into y 0.045 * [backup-simplify]: Simplify (* 0 y) into 0 0.046 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.046 * [backup-simplify]: Simplify (/ 0.5 y) into (/ 0.5 y) 0.046 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.046 * [taylor]: Taking taylor expansion of 0.5 in x 0.046 * [backup-simplify]: Simplify 0.5 into 0.5 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 (+ (* 0 0) (* 1 y)) into y 0.046 * [backup-simplify]: Simplify (/ 0.5 y) into (/ 0.5 y) 0.046 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.046 * [taylor]: Taking taylor expansion of 0.5 in y 0.046 * [backup-simplify]: Simplify 0.5 into 0.5 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 0.047 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 0.047 * [backup-simplify]: Simplify 0.5 into 0.5 0.047 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.047 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 0.5 y) (/ 0 y)))) into 0 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.048 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 0.5 y) (/ 0 y)) (* 0 (/ 0 y)))) 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 (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.050 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 0.5 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) 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 (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (* 0.5 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* 0.5 (* x y)) 0.051 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- y))) 2.0) into (/ 0.5 (* x y)) 0.051 * [approximate]: Taking taylor expansion of (/ 0.5 (* x y)) in (x y) around 0 0.051 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.051 * [taylor]: Taking taylor expansion of 0.5 in y 0.051 * [backup-simplify]: Simplify 0.5 into 0.5 0.051 * [taylor]: Taking taylor expansion of (* x y) in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [backup-simplify]: Simplify x into x 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (* x 0) into 0 0.051 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.051 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 0.051 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.051 * [taylor]: Taking taylor expansion of 0.5 in x 0.051 * [backup-simplify]: Simplify 0.5 into 0.5 0.051 * [taylor]: Taking taylor expansion of (* x y) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [backup-simplify]: Simplify y into y 0.052 * [backup-simplify]: Simplify (* 0 y) into 0 0.052 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.052 * [backup-simplify]: Simplify (/ 0.5 y) into (/ 0.5 y) 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 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [backup-simplify]: Simplify y into y 0.052 * [backup-simplify]: Simplify (* 0 y) into 0 0.052 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.052 * [backup-simplify]: Simplify (/ 0.5 y) into (/ 0.5 y) 0.052 * [taylor]: Taking taylor expansion of (/ 0.5 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 y in y 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 0.053 * [backup-simplify]: Simplify 0.5 into 0.5 0.053 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.053 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 0.5 y) (/ 0 y)))) into 0 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.054 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 0.5 y) (/ 0 y)) (* 0 (/ 0 y)))) 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 0.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.056 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 0.5 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 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 into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (* 0.5 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* 0.5 (* x y)) 0.057 * * * [progress]: simplifying candidates 0.057 * [simplify]: Simplifying: (expm1 (/ (* x y) 2.0)) (log1p (/ (* x y) 2.0)) (- (+ (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)) 0.057 * [simplify]: Sending expressions to egg_math: (expm1 (/ (* h0 h1) h2)) (log1p (/ (* h0 h1) h2)) (- (+ (log h0) (log h1)) (log h2)) (- (log (* h0 h1)) (log h2)) (log (/ (* h0 h1) h2)) (exp (/ (* h0 h1) h2)) (/ (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* h2 h2) h2)) (/ (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* h2 h2) h2)) (* (cbrt (/ (* h0 h1) h2)) (cbrt (/ (* h0 h1) h2))) (cbrt (/ (* h0 h1) h2)) (* (* (/ (* h0 h1) h2) (/ (* h0 h1) h2)) (/ (* h0 h1) h2)) (sqrt (/ (* h0 h1) h2)) (sqrt (/ (* h0 h1) h2)) (- (* h0 h1)) (- h2) (/ h0 (* (cbrt h2) (cbrt h2))) (/ h1 (cbrt h2)) (/ h0 (sqrt h2)) (/ h1 (sqrt h2)) (/ h0 1) (/ h1 h2) (/ 1 h2) (/ h2 (* h0 h1)) (/ (* h0 h1) (* (cbrt h2) (cbrt h2))) (/ (* h0 h1) (sqrt h2)) (/ (* h0 h1) 1) (/ h2 h1) (* h3 (* h0 h1)) (* h3 (* h0 h1)) (* h3 (* h0 h1)) 0.060 * * [simplify]: iteration 0 : 118 enodes (cost 91 ) 0.063 * * [simplify]: iteration 1 : 538 enodes (cost 76 ) 0.072 * * [simplify]: iteration 2 : 2527 enodes (cost 76 ) 0.112 * * [simplify]: iteration 3 : 5001 enodes (cost 76 ) 0.113 * * * [progress]: adding candidates to table 0.152 * * [progress]: iteration 2 / 4 0.153 * * * [progress]: picking best candidate 0.153 * * * * [pick]: Picked # 0.154 * * * [progress]: localizing error 0.157 * * * [progress]: generating rewritten candidates 0.157 * * * [progress]: generating series expansions 0.157 * * * [progress]: simplifying candidates 0.157 * [simplify]: Simplifying: 0.157 * [simplify]: Sending expressions to egg_math: 0.159 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.159 * * * [progress]: adding candidates to table 0.160 * [progress]: [Phase 3 of 3] Extracting. 0.161 * [simplify]: Simplifying: (* x (/ y 2.0)) 0.161 * [simplify]: Sending expressions to egg_math: (* h0 (/ h1 h2)) 0.161 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.161 * * [simplify]: iteration 1 : 6 enodes (cost 2 ) 0.534 * [regime-testing]: End program error score: 0.00025003125390673836