9.713 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying: (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t) 0.025 * [simplify]: Sending expressions to egg_math: (+ (- (* (/ h0 h1) h2) (/ (* h3 h4) h5)) h6) 0.028 * * [simplify]: iteration 0 : 25 enodes (cost 6 ) 0.030 * * [simplify]: iteration 1 : 50 enodes (cost 6 ) 0.032 * * [simplify]: iteration 2 : 80 enodes (cost 6 ) 0.034 * * [simplify]: iteration 3 : 122 enodes (cost 6 ) 0.037 * * [simplify]: iteration 4 : 171 enodes (cost 5 ) 0.040 * * [simplify]: iteration 5 : 230 enodes (cost 5 ) 0.043 * * [simplify]: iteration 6 : 267 enodes (cost 5 ) 0.047 * * [simplify]: iteration 7 : 370 enodes (cost 5 ) 0.053 * * [simplify]: iteration 8 : 522 enodes (cost 5 ) 0.058 * * [simplify]: iteration 9 : 820 enodes (cost 5 ) 0.063 * * [simplify]: iteration 10 : 820 enodes (cost 5 ) 0.067 * * [progress]: iteration 1 / 4 0.067 * * * [progress]: picking best candidate 0.070 * * * * [pick]: Picked # 0.070 * * * [progress]: localizing error 0.080 * * * [progress]: generating rewritten candidates 0.080 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 2) 0.091 * * * [progress]: generating series expansions 0.091 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 2) 0.091 * [backup-simplify]: Simplify (/ (* y z) 2.0) into (* 0.5 (* z y)) 0.091 * [approximate]: Taking taylor expansion of (* 0.5 (* z y)) in (y z) around 0 0.091 * [taylor]: Taking taylor expansion of (* 0.5 (* z y)) in z 0.091 * [taylor]: Taking taylor expansion of 0.5 in z 0.091 * [backup-simplify]: Simplify 0.5 into 0.5 0.091 * [taylor]: Taking taylor expansion of (* z y) in z 0.091 * [taylor]: Taking taylor expansion of z in z 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [taylor]: Taking taylor expansion of y in z 0.091 * [backup-simplify]: Simplify y into y 0.091 * [taylor]: Taking taylor expansion of (* 0.5 (* z y)) in y 0.091 * [taylor]: Taking taylor expansion of 0.5 in y 0.091 * [backup-simplify]: Simplify 0.5 into 0.5 0.091 * [taylor]: Taking taylor expansion of (* z y) in y 0.091 * [taylor]: Taking taylor expansion of z in y 0.091 * [backup-simplify]: Simplify z into z 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [taylor]: Taking taylor expansion of (* 0.5 (* z y)) in y 0.091 * [taylor]: Taking taylor expansion of 0.5 in y 0.091 * [backup-simplify]: Simplify 0.5 into 0.5 0.091 * [taylor]: Taking taylor expansion of (* z y) in y 0.091 * [taylor]: Taking taylor expansion of z in y 0.091 * [backup-simplify]: Simplify z into z 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (* z 0) into 0 0.092 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.092 * [taylor]: Taking taylor expansion of 0 in z 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z 0.093 * [backup-simplify]: Simplify (+ (* 0.5 z) (* 0 0)) into (* 0.5 z) 0.093 * [taylor]: Taking taylor expansion of (* 0.5 z) in z 0.093 * [taylor]: Taking taylor expansion of 0.5 in z 0.093 * [backup-simplify]: Simplify 0.5 into 0.5 0.093 * [taylor]: Taking taylor expansion of z in z 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 1) (* 0 0))) into 0 0.094 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 z) (* 0 0))) into 0 0.094 * [taylor]: Taking taylor expansion of 0 in z 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 0.095 * [backup-simplify]: Simplify 0.5 into 0.5 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.096 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 z) (* 0 0)))) into 0 0.096 * [taylor]: Taking taylor expansion of 0 in z 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.098 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 z) (* 0 0))))) into 0 0.098 * [taylor]: Taking taylor expansion of 0 in z 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (* 0.5 (* z y)) into (* 0.5 (* z y)) 0.099 * [backup-simplify]: Simplify (/ (* (/ 1 y) (/ 1 z)) 2.0) into (/ 0.5 (* z y)) 0.099 * [approximate]: Taking taylor expansion of (/ 0.5 (* z y)) in (y z) around 0 0.099 * [taylor]: Taking taylor expansion of (/ 0.5 (* z y)) in z 0.099 * [taylor]: Taking taylor expansion of 0.5 in z 0.099 * [backup-simplify]: Simplify 0.5 into 0.5 0.099 * [taylor]: Taking taylor expansion of (* z y) in z 0.099 * [taylor]: Taking taylor expansion of z in z 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [taylor]: Taking taylor expansion of y in z 0.099 * [backup-simplify]: Simplify y into y 0.099 * [backup-simplify]: Simplify (* 0 y) into 0 0.099 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.099 * [backup-simplify]: Simplify (/ 0.5 y) into (/ 0.5 y) 0.099 * [taylor]: Taking taylor expansion of (/ 0.5 (* z y)) in y 0.099 * [taylor]: Taking taylor expansion of 0.5 in y 0.099 * [backup-simplify]: Simplify 0.5 into 0.5 0.099 * [taylor]: Taking taylor expansion of (* z y) in y 0.099 * [taylor]: Taking taylor expansion of z in y 0.099 * [backup-simplify]: Simplify z into z 0.099 * [taylor]: Taking taylor expansion of y in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (* z 0) into 0 0.099 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z 0.100 * [backup-simplify]: Simplify (/ 0.5 z) into (/ 0.5 z) 0.100 * [taylor]: Taking taylor expansion of (/ 0.5 (* z y)) in y 0.100 * [taylor]: Taking taylor expansion of 0.5 in y 0.100 * [backup-simplify]: Simplify 0.5 into 0.5 0.100 * [taylor]: Taking taylor expansion of (* z y) in y 0.100 * [taylor]: Taking taylor expansion of z in y 0.100 * [backup-simplify]: Simplify z into z 0.100 * [taylor]: Taking taylor expansion of y in y 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (* z 0) into 0 0.100 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z 0.100 * [backup-simplify]: Simplify (/ 0.5 z) into (/ 0.5 z) 0.100 * [taylor]: Taking taylor expansion of (/ 0.5 z) in z 0.100 * [taylor]: Taking taylor expansion of 0.5 in z 0.100 * [backup-simplify]: Simplify 0.5 into 0.5 0.100 * [taylor]: Taking taylor expansion of z in z 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 0.100 * [backup-simplify]: Simplify 0.5 into 0.5 0.104 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 1) (* 0 0))) into 0 0.105 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ 0.5 z) (/ 0 z)))) into 0 0.105 * [taylor]: Taking taylor expansion of 0 in z 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.106 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ 0.5 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.106 * [taylor]: Taking taylor expansion of 0 in z 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.107 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ 0.5 z) (/ 0 z)) (* 0 (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.107 * [taylor]: Taking taylor expansion of 0 in z 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (* 0.5 (* (/ 1 (/ 1 z)) (/ 1 (/ 1 y)))) into (* 0.5 (* z y)) 0.109 * [backup-simplify]: Simplify (/ (* (/ 1 (- y)) (/ 1 (- z))) 2.0) into (/ 0.5 (* z y)) 0.109 * [approximate]: Taking taylor expansion of (/ 0.5 (* z y)) in (y z) around 0 0.109 * [taylor]: Taking taylor expansion of (/ 0.5 (* z y)) in z 0.109 * [taylor]: Taking taylor expansion of 0.5 in z 0.109 * [backup-simplify]: Simplify 0.5 into 0.5 0.109 * [taylor]: Taking taylor expansion of (* z y) in z 0.109 * [taylor]: Taking taylor expansion of z in z 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [taylor]: Taking taylor expansion of y in z 0.109 * [backup-simplify]: Simplify y into y 0.109 * [backup-simplify]: Simplify (* 0 y) into 0 0.109 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.109 * [backup-simplify]: Simplify (/ 0.5 y) into (/ 0.5 y) 0.109 * [taylor]: Taking taylor expansion of (/ 0.5 (* z y)) in y 0.109 * [taylor]: Taking taylor expansion of 0.5 in y 0.109 * [backup-simplify]: Simplify 0.5 into 0.5 0.109 * [taylor]: Taking taylor expansion of (* z y) in y 0.109 * [taylor]: Taking taylor expansion of z in y 0.109 * [backup-simplify]: Simplify z into z 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (* z 0) into 0 0.110 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z 0.110 * [backup-simplify]: Simplify (/ 0.5 z) into (/ 0.5 z) 0.110 * [taylor]: Taking taylor expansion of (/ 0.5 (* z y)) in y 0.110 * [taylor]: Taking taylor expansion of 0.5 in y 0.110 * [backup-simplify]: Simplify 0.5 into 0.5 0.110 * [taylor]: Taking taylor expansion of (* z y) in y 0.110 * [taylor]: Taking taylor expansion of z in y 0.110 * [backup-simplify]: Simplify z into z 0.110 * [taylor]: Taking taylor expansion of y in y 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (* z 0) into 0 0.110 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z 0.110 * [backup-simplify]: Simplify (/ 0.5 z) into (/ 0.5 z) 0.110 * [taylor]: Taking taylor expansion of (/ 0.5 z) in z 0.110 * [taylor]: Taking taylor expansion of 0.5 in z 0.110 * [backup-simplify]: Simplify 0.5 into 0.5 0.110 * [taylor]: Taking taylor expansion of z in z 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 0.111 * [backup-simplify]: Simplify 0.5 into 0.5 0.111 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 1) (* 0 0))) into 0 0.111 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ 0.5 z) (/ 0 z)))) into 0 0.111 * [taylor]: Taking taylor expansion of 0 in z 0.111 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.112 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ 0.5 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.112 * [taylor]: Taking taylor expansion of 0 in z 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.114 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ 0.5 z) (/ 0 z)) (* 0 (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.114 * [taylor]: Taking taylor expansion of 0 in z 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (* 0.5 (* (/ 1 (/ 1 (- z))) (/ 1 (/ 1 (- y))))) into (* 0.5 (* z y)) 0.115 * * * [progress]: simplifying candidates 0.115 * [simplify]: Simplifying: (expm1 (/ (* y z) 2.0)) (log1p (/ (* y z) 2.0)) (- (+ (log y) (log z)) (log 2.0)) (- (log (* y z)) (log 2.0)) (log (/ (* y z) 2.0)) (exp (/ (* y z) 2.0)) (/ (* (* (* y y) y) (* (* z z) z)) (* (* 2.0 2.0) 2.0)) (/ (* (* (* y z) (* y z)) (* y z)) (* (* 2.0 2.0) 2.0)) (* (cbrt (/ (* y z) 2.0)) (cbrt (/ (* y z) 2.0))) (cbrt (/ (* y z) 2.0)) (* (* (/ (* y z) 2.0) (/ (* y z) 2.0)) (/ (* y z) 2.0)) (sqrt (/ (* y z) 2.0)) (sqrt (/ (* y z) 2.0)) (- (* y z)) (- 2.0) (/ y (* (cbrt 2.0) (cbrt 2.0))) (/ z (cbrt 2.0)) (/ y (sqrt 2.0)) (/ z (sqrt 2.0)) (/ y 1) (/ z 2.0) (/ 1 2.0) (/ 2.0 (* y z)) (/ (* y z) (* (cbrt 2.0) (cbrt 2.0))) (/ (* y z) (sqrt 2.0)) (/ (* y z) 1) (/ 2.0 z) (* 0.5 (* z y)) (* 0.5 (* z y)) (* 0.5 (* z y)) 0.115 * [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 (* h1 h0)) (* h3 (* h1 h0)) (* h3 (* h1 h0)) 0.119 * * [simplify]: iteration 0 : 118 enodes (cost 91 ) 0.122 * * [simplify]: iteration 1 : 537 enodes (cost 76 ) 0.134 * * [simplify]: iteration 2 : 2521 enodes (cost 76 ) 0.179 * * [simplify]: iteration 3 : 5001 enodes (cost 76 ) 0.180 * * * [progress]: adding candidates to table 0.241 * [progress]: [Phase 3 of 3] Extracting. 0.243 * [simplify]: Simplifying: (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t) 0.243 * [simplify]: Sending expressions to egg_math: (+ (- (* (/ h0 h1) h2) (/ (* h3 h4) h5)) h6) 0.243 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 0.243 * * [simplify]: iteration 1 : 16 enodes (cost 6 ) 0.908 * [regime-testing]: End program error score: 0.03312914114264283 0.934 * [regime-testing]: Target error score: 0.009501187648456057