22.818 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying: (/ (* x y) z) 0.033 * * [simplify]: iteration 0: 5 enodes 0.034 * * [simplify]: iteration 1: 8 enodes 0.037 * * [simplify]: iteration 2: 10 enodes 0.039 * * [simplify]: iteration 3: 13 enodes 0.042 * * [simplify]: iteration 4: 15 enodes 0.046 * * [simplify]: iteration 5: 16 enodes 0.050 * * [simplify]: iteration complete: 16 enodes 0.050 * * [simplify]: Extracting #0: cost 1 inf + 0 0.050 * * [simplify]: Extracting #1: cost 9 inf + 0 0.050 * * [simplify]: Extracting #2: cost 4 inf + 87 0.051 * * [simplify]: Extracting #3: cost 0 inf + 296 0.051 * [simplify]: Simplified to: (/ (* x y) z) 0.052 * * [progress]: iteration 1 / 4 0.052 * * * [progress]: picking best candidate 0.063 * * * * [pick]: Picked # 0.063 * * * [progress]: localizing error 0.071 * * * [progress]: generating rewritten candidates 0.072 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.080 * * * [progress]: generating series expansions 0.080 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.080 * [backup-simplify]: Simplify (/ (* x y) z) into (/ (* x y) z) 0.080 * [approximate]: Taking taylor expansion of (/ (* x y) z) in (x y z) around 0 0.080 * [taylor]: Taking taylor expansion of (/ (* x y) z) in z 0.080 * [taylor]: Taking taylor expansion of (* x y) in z 0.080 * [taylor]: Taking taylor expansion of x in z 0.080 * [backup-simplify]: Simplify x into x 0.080 * [taylor]: Taking taylor expansion of y in z 0.080 * [backup-simplify]: Simplify y into y 0.080 * [taylor]: Taking taylor expansion of z in z 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (* x y) into (* x y) 0.080 * [backup-simplify]: Simplify (/ (* x y) 1) into (* x y) 0.080 * [taylor]: Taking taylor expansion of (/ (* x y) z) in y 0.080 * [taylor]: Taking taylor expansion of (* x y) in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [backup-simplify]: Simplify x into x 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [taylor]: Taking taylor expansion of z in y 0.080 * [backup-simplify]: Simplify z into z 0.080 * [backup-simplify]: Simplify (* x 0) into 0 0.081 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.081 * [backup-simplify]: Simplify (/ x z) into (/ x z) 0.081 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 0.081 * [taylor]: Taking taylor expansion of (* x y) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [backup-simplify]: Simplify y into y 0.081 * [taylor]: Taking taylor expansion of z in x 0.081 * [backup-simplify]: Simplify z into z 0.081 * [backup-simplify]: Simplify (* 0 y) into 0 0.082 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.082 * [backup-simplify]: Simplify (/ y z) into (/ y z) 0.082 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 0.082 * [taylor]: Taking taylor expansion of (* x y) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [taylor]: Taking taylor expansion of y in x 0.082 * [backup-simplify]: Simplify y into y 0.082 * [taylor]: Taking taylor expansion of z in x 0.082 * [backup-simplify]: Simplify z into z 0.082 * [backup-simplify]: Simplify (* 0 y) into 0 0.082 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.082 * [backup-simplify]: Simplify (/ y z) into (/ y z) 0.082 * [taylor]: Taking taylor expansion of (/ y z) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [taylor]: Taking taylor expansion of z in y 0.082 * [backup-simplify]: Simplify z into z 0.082 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.082 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.083 * [taylor]: Taking taylor expansion of z in z 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (/ 1 1) into 1 0.083 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.084 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ y z) (/ 0 z)))) into 0 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [taylor]: Taking taylor expansion of 0 in z 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ 1 z) (/ 0 z)))) into 0 0.084 * [taylor]: Taking taylor expansion of 0 in z 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.085 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ y z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [taylor]: Taking taylor expansion of 0 in z 0.085 * [backup-simplify]: Simplify 0 into 0 0.086 * [taylor]: Taking taylor expansion of 0 in z 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.086 * [taylor]: Taking taylor expansion of 0 in z 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.088 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ y z) (/ 0 z)) (* 0 (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [taylor]: Taking taylor expansion of 0 in z 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [taylor]: Taking taylor expansion of 0 in z 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [taylor]: Taking taylor expansion of 0 in z 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.088 * [taylor]: Taking taylor expansion of 0 in z 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (* 1 (* (/ 1 z) (* y x))) into (/ (* x y) z) 0.088 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 y)) (/ 1 z)) into (/ z (* x y)) 0.088 * [approximate]: Taking taylor expansion of (/ z (* x y)) in (x y z) around 0 0.088 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 0.088 * [taylor]: Taking taylor expansion of z in z 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [taylor]: Taking taylor expansion of (* x y) in z 0.088 * [taylor]: Taking taylor expansion of x in z 0.088 * [backup-simplify]: Simplify x into x 0.088 * [taylor]: Taking taylor expansion of y in z 0.088 * [backup-simplify]: Simplify y into y 0.088 * [backup-simplify]: Simplify (* x y) into (* x y) 0.088 * [backup-simplify]: Simplify (/ 1 (* x y)) into (/ 1 (* x y)) 0.088 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 0.088 * [taylor]: Taking taylor expansion of z in y 0.088 * [backup-simplify]: Simplify z into z 0.089 * [taylor]: Taking taylor expansion of (* x y) in y 0.089 * [taylor]: Taking taylor expansion of x in y 0.089 * [backup-simplify]: Simplify x into x 0.089 * [taylor]: Taking taylor expansion of y in y 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (* x 0) into 0 0.089 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.089 * [backup-simplify]: Simplify (/ z x) into (/ z x) 0.089 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 0.089 * [taylor]: Taking taylor expansion of z in x 0.089 * [backup-simplify]: Simplify z into z 0.089 * [taylor]: Taking taylor expansion of (* x y) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [backup-simplify]: Simplify y into y 0.089 * [backup-simplify]: Simplify (* 0 y) into 0 0.090 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.090 * [backup-simplify]: Simplify (/ z y) into (/ z y) 0.090 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 0.090 * [taylor]: Taking taylor expansion of z in x 0.090 * [backup-simplify]: Simplify z into z 0.090 * [taylor]: Taking taylor expansion of (* x y) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [backup-simplify]: Simplify y into y 0.090 * [backup-simplify]: Simplify (* 0 y) into 0 0.090 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.090 * [backup-simplify]: Simplify (/ z y) into (/ z y) 0.090 * [taylor]: Taking taylor expansion of (/ z y) in y 0.090 * [taylor]: Taking taylor expansion of z in y 0.090 * [backup-simplify]: Simplify z into z 0.090 * [taylor]: Taking taylor expansion of y in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (/ z 1) into z 0.090 * [taylor]: Taking taylor expansion of z in z 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.091 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)))) into 0 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* z (/ 0 1)))) 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 0 into 0 0.093 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.093 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [taylor]: Taking taylor expansion of 0 in z 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* z (/ 0 1)) (* 0 (/ 0 1)))) 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 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (* 1 (* (/ 1 z) (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (/ (* x y) z) 0.094 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- z))) into (* -1 (/ z (* x y))) 0.094 * [approximate]: Taking taylor expansion of (* -1 (/ z (* x y))) in (x y z) around 0 0.094 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in z 0.094 * [taylor]: Taking taylor expansion of -1 in z 0.094 * [backup-simplify]: Simplify -1 into -1 0.094 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 0.094 * [taylor]: Taking taylor expansion of z in z 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [taylor]: Taking taylor expansion of (* x y) in z 0.095 * [taylor]: Taking taylor expansion of x in z 0.095 * [backup-simplify]: Simplify x into x 0.095 * [taylor]: Taking taylor expansion of y in z 0.095 * [backup-simplify]: Simplify y into y 0.095 * [backup-simplify]: Simplify (* x y) into (* x y) 0.095 * [backup-simplify]: Simplify (/ 1 (* x y)) into (/ 1 (* x y)) 0.095 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in y 0.095 * [taylor]: Taking taylor expansion of -1 in y 0.095 * [backup-simplify]: Simplify -1 into -1 0.095 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 0.095 * [taylor]: Taking taylor expansion of z in y 0.095 * [backup-simplify]: Simplify z into z 0.095 * [taylor]: Taking taylor expansion of (* x y) in y 0.095 * [taylor]: Taking taylor expansion of x in y 0.095 * [backup-simplify]: Simplify x into x 0.095 * [taylor]: Taking taylor expansion of y in y 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (* x 0) into 0 0.095 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.096 * [backup-simplify]: Simplify (/ z x) into (/ z x) 0.096 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in x 0.096 * [taylor]: Taking taylor expansion of -1 in x 0.096 * [backup-simplify]: Simplify -1 into -1 0.096 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 0.096 * [taylor]: Taking taylor expansion of z in x 0.096 * [backup-simplify]: Simplify z into z 0.096 * [taylor]: Taking taylor expansion of (* x y) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [taylor]: Taking taylor expansion of y in x 0.096 * [backup-simplify]: Simplify y into y 0.096 * [backup-simplify]: Simplify (* 0 y) into 0 0.096 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.096 * [backup-simplify]: Simplify (/ z y) into (/ z y) 0.096 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in x 0.096 * [taylor]: Taking taylor expansion of -1 in x 0.096 * [backup-simplify]: Simplify -1 into -1 0.096 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 0.096 * [taylor]: Taking taylor expansion of z in x 0.096 * [backup-simplify]: Simplify z into z 0.096 * [taylor]: Taking taylor expansion of (* x y) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [taylor]: Taking taylor expansion of y in x 0.096 * [backup-simplify]: Simplify y into y 0.096 * [backup-simplify]: Simplify (* 0 y) into 0 0.097 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.097 * [backup-simplify]: Simplify (/ z y) into (/ z y) 0.097 * [backup-simplify]: Simplify (* -1 (/ z y)) into (* -1 (/ z y)) 0.097 * [taylor]: Taking taylor expansion of (* -1 (/ z y)) in y 0.097 * [taylor]: Taking taylor expansion of -1 in y 0.097 * [backup-simplify]: Simplify -1 into -1 0.097 * [taylor]: Taking taylor expansion of (/ z y) in y 0.097 * [taylor]: Taking taylor expansion of z in y 0.097 * [backup-simplify]: Simplify z into z 0.097 * [taylor]: Taking taylor expansion of y in y 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (/ z 1) into z 0.097 * [backup-simplify]: Simplify (* -1 z) into (* -1 z) 0.097 * [taylor]: Taking taylor expansion of (* -1 z) in z 0.097 * [taylor]: Taking taylor expansion of -1 in z 0.097 * [backup-simplify]: Simplify -1 into -1 0.097 * [taylor]: Taking taylor expansion of z in z 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 0.098 * [backup-simplify]: Simplify -1 into -1 0.098 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.099 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)))) into 0 0.099 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ z y))) into 0 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* z (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 z)) into 0 0.100 * [taylor]: Taking taylor expansion of 0 in z 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.103 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.104 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ z y)))) into 0 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [backup-simplify]: Simplify 0 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 into 0 0.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* z (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 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 0.109 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (* -1 (* (/ 1 (- z)) (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (/ (* x y) z) 0.109 * * * [progress]: simplifying candidates 0.110 * [simplify]: Simplifying: (expm1 (/ (* x y) z)) (log1p (/ (* x y) z)) (- (+ (log x) (log y)) (log z)) (- (log (* x y)) (log z)) (log (/ (* x y) z)) (exp (/ (* x y) z)) (/ (* (* (* x x) x) (* (* y y) y)) (* (* z z) z)) (/ (* (* (* x y) (* x y)) (* x y)) (* (* z z) z)) (* (cbrt (/ (* x y) z)) (cbrt (/ (* x y) z))) (cbrt (/ (* x y) z)) (* (* (/ (* x y) z) (/ (* x y) z)) (/ (* x y) z)) (sqrt (/ (* x y) z)) (sqrt (/ (* x y) z)) (- (* x y)) (- z) (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (/ x (sqrt z)) (/ y (sqrt z)) (/ x 1) (/ y z) (/ 1 z) (/ z (* x y)) (/ (* x y) (* (cbrt z) (cbrt z))) (/ (* x y) (sqrt z)) (/ (* x y) 1) (/ z y) (/ (* x y) z) (/ (* x y) z) (/ (* x y) z) 0.111 * * [simplify]: iteration 0: 50 enodes 0.131 * * [simplify]: iteration 1: 120 enodes 0.209 * * [simplify]: iteration 2: 461 enodes 0.772 * * [simplify]: iteration 3: 2195 enodes 1.688 * * [simplify]: iteration complete: 5000 enodes 1.688 * * [simplify]: Extracting #0: cost 23 inf + 0 1.691 * * [simplify]: Extracting #1: cost 1047 inf + 1 1.699 * * [simplify]: Extracting #2: cost 1744 inf + 2587 1.726 * * [simplify]: Extracting #3: cost 923 inf + 111948 1.812 * * [simplify]: Extracting #4: cost 67 inf + 258025 1.889 * * [simplify]: Extracting #5: cost 0 inf + 271989 1.972 * [simplify]: Simplified to: (expm1 (/ x (/ z y))) (log1p (/ x (/ z y))) (log (/ x (/ z y))) (log (/ x (/ z y))) (log (/ x (/ z y))) (exp (/ x (/ z y))) (* (* (/ x (/ z y)) (/ x (/ z y))) (/ x (/ z y))) (* (* (/ x (/ z y)) (/ x (/ z y))) (/ x (/ z y))) (* (cbrt (/ x (/ z y))) (cbrt (/ x (/ z y)))) (cbrt (/ x (/ z y))) (* (* (/ x (/ z y)) (/ x (/ z y))) (/ x (/ z y))) (sqrt (/ x (/ z y))) (sqrt (/ x (/ z y))) (- (* y x)) (- z) (/ (/ x (cbrt z)) (cbrt z)) (/ y (cbrt z)) (/ x (sqrt z)) (/ y (sqrt z)) x (/ y z) (/ 1 z) (/ (/ z x) y) (/ (/ (* x y) (cbrt z)) (cbrt z)) (* (/ x (sqrt z)) y) (* x y) (/ z y) (/ x (/ z y)) (/ x (/ z y)) (/ x (/ z y)) 1.973 * * * [progress]: adding candidates to table 2.091 * * [progress]: iteration 2 / 4 2.091 * * * [progress]: picking best candidate 2.113 * * * * [pick]: Picked # 2.113 * * * [progress]: localizing error 2.119 * * * [progress]: generating rewritten candidates 2.119 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.136 * * * [progress]: generating series expansions 2.136 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.137 * [backup-simplify]: Simplify (/ x (/ z y)) into (/ (* x y) z) 2.137 * [approximate]: Taking taylor expansion of (/ (* x y) z) in (x z y) around 0 2.137 * [taylor]: Taking taylor expansion of (/ (* x y) z) in y 2.137 * [taylor]: Taking taylor expansion of (* x y) in y 2.137 * [taylor]: Taking taylor expansion of x in y 2.137 * [backup-simplify]: Simplify x into x 2.137 * [taylor]: Taking taylor expansion of y in y 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify 1 into 1 2.137 * [taylor]: Taking taylor expansion of z in y 2.137 * [backup-simplify]: Simplify z into z 2.137 * [backup-simplify]: Simplify (* x 0) into 0 2.138 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.138 * [backup-simplify]: Simplify (/ x z) into (/ x z) 2.138 * [taylor]: Taking taylor expansion of (/ (* x y) z) in z 2.138 * [taylor]: Taking taylor expansion of (* x y) in z 2.138 * [taylor]: Taking taylor expansion of x in z 2.138 * [backup-simplify]: Simplify x into x 2.138 * [taylor]: Taking taylor expansion of y in z 2.138 * [backup-simplify]: Simplify y into y 2.138 * [taylor]: Taking taylor expansion of z in z 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 1 into 1 2.138 * [backup-simplify]: Simplify (* x y) into (* x y) 2.138 * [backup-simplify]: Simplify (/ (* x y) 1) into (* x y) 2.138 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 2.138 * [taylor]: Taking taylor expansion of (* x y) in x 2.138 * [taylor]: Taking taylor expansion of x in x 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 1 into 1 2.138 * [taylor]: Taking taylor expansion of y in x 2.138 * [backup-simplify]: Simplify y into y 2.139 * [taylor]: Taking taylor expansion of z in x 2.139 * [backup-simplify]: Simplify z into z 2.139 * [backup-simplify]: Simplify (* 0 y) into 0 2.139 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.139 * [backup-simplify]: Simplify (/ y z) into (/ y z) 2.139 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 2.139 * [taylor]: Taking taylor expansion of (* x y) in x 2.139 * [taylor]: Taking taylor expansion of x in x 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify 1 into 1 2.140 * [taylor]: Taking taylor expansion of y in x 2.140 * [backup-simplify]: Simplify y into y 2.140 * [taylor]: Taking taylor expansion of z in x 2.140 * [backup-simplify]: Simplify z into z 2.140 * [backup-simplify]: Simplify (* 0 y) into 0 2.140 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.140 * [backup-simplify]: Simplify (/ y z) into (/ y z) 2.141 * [taylor]: Taking taylor expansion of (/ y z) in z 2.141 * [taylor]: Taking taylor expansion of y in z 2.141 * [backup-simplify]: Simplify y into y 2.141 * [taylor]: Taking taylor expansion of z in z 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 1 into 1 2.141 * [backup-simplify]: Simplify (/ y 1) into y 2.141 * [taylor]: Taking taylor expansion of y in y 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 1 into 1 2.141 * [backup-simplify]: Simplify 1 into 1 2.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.142 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ y z) (/ 0 z)))) into 0 2.142 * [taylor]: Taking taylor expansion of 0 in z 2.142 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 2.143 * [taylor]: Taking taylor expansion of 0 in y 2.143 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 2.145 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ y z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 2.145 * [taylor]: Taking taylor expansion of 0 in z 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [taylor]: Taking taylor expansion of 0 in y 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.147 * [taylor]: Taking taylor expansion of 0 in y 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify (* 1 (* y (* (/ 1 z) x))) into (/ (* x y) z) 2.148 * [backup-simplify]: Simplify (/ (/ 1 x) (/ (/ 1 z) (/ 1 y))) into (/ z (* x y)) 2.148 * [approximate]: Taking taylor expansion of (/ z (* x y)) in (x z y) around 0 2.148 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 2.148 * [taylor]: Taking taylor expansion of z in y 2.148 * [backup-simplify]: Simplify z into z 2.148 * [taylor]: Taking taylor expansion of (* x y) in y 2.148 * [taylor]: Taking taylor expansion of x in y 2.148 * [backup-simplify]: Simplify x into x 2.148 * [taylor]: Taking taylor expansion of y in y 2.148 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify 1 into 1 2.148 * [backup-simplify]: Simplify (* x 0) into 0 2.149 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.149 * [backup-simplify]: Simplify (/ z x) into (/ z x) 2.149 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 2.149 * [taylor]: Taking taylor expansion of z in z 2.149 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify 1 into 1 2.149 * [taylor]: Taking taylor expansion of (* x y) in z 2.149 * [taylor]: Taking taylor expansion of x in z 2.149 * [backup-simplify]: Simplify x into x 2.149 * [taylor]: Taking taylor expansion of y in z 2.149 * [backup-simplify]: Simplify y into y 2.149 * [backup-simplify]: Simplify (* x y) into (* x y) 2.149 * [backup-simplify]: Simplify (/ 1 (* x y)) into (/ 1 (* x y)) 2.149 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 2.149 * [taylor]: Taking taylor expansion of z in x 2.149 * [backup-simplify]: Simplify z into z 2.149 * [taylor]: Taking taylor expansion of (* x y) in x 2.149 * [taylor]: Taking taylor expansion of x in x 2.149 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify 1 into 1 2.149 * [taylor]: Taking taylor expansion of y in x 2.149 * [backup-simplify]: Simplify y into y 2.150 * [backup-simplify]: Simplify (* 0 y) into 0 2.150 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.150 * [backup-simplify]: Simplify (/ z y) into (/ z y) 2.150 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 2.150 * [taylor]: Taking taylor expansion of z in x 2.150 * [backup-simplify]: Simplify z into z 2.150 * [taylor]: Taking taylor expansion of (* x y) in x 2.150 * [taylor]: Taking taylor expansion of x in x 2.150 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify 1 into 1 2.151 * [taylor]: Taking taylor expansion of y in x 2.151 * [backup-simplify]: Simplify y into y 2.151 * [backup-simplify]: Simplify (* 0 y) into 0 2.151 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.151 * [backup-simplify]: Simplify (/ z y) into (/ z y) 2.151 * [taylor]: Taking taylor expansion of (/ z y) in z 2.151 * [taylor]: Taking taylor expansion of z in z 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify 1 into 1 2.152 * [taylor]: Taking taylor expansion of y in z 2.152 * [backup-simplify]: Simplify y into y 2.152 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.152 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.152 * [taylor]: Taking taylor expansion of y in y 2.152 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify 1 into 1 2.152 * [backup-simplify]: Simplify (/ 1 1) into 1 2.152 * [backup-simplify]: Simplify 1 into 1 2.153 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.153 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)))) into 0 2.154 * [taylor]: Taking taylor expansion of 0 in z 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [taylor]: Taking taylor expansion of 0 in y 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 2.154 * [taylor]: Taking taylor expansion of 0 in y 2.154 * [backup-simplify]: Simplify 0 into 0 2.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.155 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 2.157 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.157 * [taylor]: Taking taylor expansion of 0 in z 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [taylor]: Taking taylor expansion of 0 in y 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [taylor]: Taking taylor expansion of 0 in y 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.157 * [taylor]: Taking taylor expansion of 0 in y 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.158 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.160 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.160 * [taylor]: Taking taylor expansion of 0 in z 2.160 * [backup-simplify]: Simplify 0 into 0 2.161 * [taylor]: Taking taylor expansion of 0 in y 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [taylor]: Taking taylor expansion of 0 in y 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [taylor]: Taking taylor expansion of 0 in y 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.161 * [taylor]: Taking taylor expansion of 0 in y 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 y)) (* (/ 1 z) (/ 1 (/ 1 x))))) into (/ (* x y) z) 2.162 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (/ (/ 1 (- z)) (/ 1 (- y)))) into (* -1 (/ z (* x y))) 2.162 * [approximate]: Taking taylor expansion of (* -1 (/ z (* x y))) in (x z y) around 0 2.162 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in y 2.162 * [taylor]: Taking taylor expansion of -1 in y 2.162 * [backup-simplify]: Simplify -1 into -1 2.162 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 2.162 * [taylor]: Taking taylor expansion of z in y 2.162 * [backup-simplify]: Simplify z into z 2.162 * [taylor]: Taking taylor expansion of (* x y) in y 2.162 * [taylor]: Taking taylor expansion of x in y 2.162 * [backup-simplify]: Simplify x into x 2.162 * [taylor]: Taking taylor expansion of y in y 2.162 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify 1 into 1 2.162 * [backup-simplify]: Simplify (* x 0) into 0 2.163 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.163 * [backup-simplify]: Simplify (/ z x) into (/ z x) 2.163 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in z 2.163 * [taylor]: Taking taylor expansion of -1 in z 2.163 * [backup-simplify]: Simplify -1 into -1 2.163 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 2.163 * [taylor]: Taking taylor expansion of z in z 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 1 into 1 2.163 * [taylor]: Taking taylor expansion of (* x y) in z 2.163 * [taylor]: Taking taylor expansion of x in z 2.163 * [backup-simplify]: Simplify x into x 2.163 * [taylor]: Taking taylor expansion of y in z 2.163 * [backup-simplify]: Simplify y into y 2.163 * [backup-simplify]: Simplify (* x y) into (* x y) 2.163 * [backup-simplify]: Simplify (/ 1 (* x y)) into (/ 1 (* x y)) 2.163 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in x 2.163 * [taylor]: Taking taylor expansion of -1 in x 2.163 * [backup-simplify]: Simplify -1 into -1 2.163 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 2.163 * [taylor]: Taking taylor expansion of z in x 2.163 * [backup-simplify]: Simplify z into z 2.163 * [taylor]: Taking taylor expansion of (* x y) in x 2.163 * [taylor]: Taking taylor expansion of x in x 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 1 into 1 2.163 * [taylor]: Taking taylor expansion of y in x 2.163 * [backup-simplify]: Simplify y into y 2.163 * [backup-simplify]: Simplify (* 0 y) into 0 2.164 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.164 * [backup-simplify]: Simplify (/ z y) into (/ z y) 2.164 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in x 2.164 * [taylor]: Taking taylor expansion of -1 in x 2.164 * [backup-simplify]: Simplify -1 into -1 2.164 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 2.164 * [taylor]: Taking taylor expansion of z in x 2.164 * [backup-simplify]: Simplify z into z 2.164 * [taylor]: Taking taylor expansion of (* x y) in x 2.164 * [taylor]: Taking taylor expansion of x in x 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 1 into 1 2.165 * [taylor]: Taking taylor expansion of y in x 2.165 * [backup-simplify]: Simplify y into y 2.165 * [backup-simplify]: Simplify (* 0 y) into 0 2.165 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.165 * [backup-simplify]: Simplify (/ z y) into (/ z y) 2.165 * [backup-simplify]: Simplify (* -1 (/ z y)) into (* -1 (/ z y)) 2.166 * [taylor]: Taking taylor expansion of (* -1 (/ z y)) in z 2.166 * [taylor]: Taking taylor expansion of -1 in z 2.166 * [backup-simplify]: Simplify -1 into -1 2.166 * [taylor]: Taking taylor expansion of (/ z y) in z 2.166 * [taylor]: Taking taylor expansion of z in z 2.166 * [backup-simplify]: Simplify 0 into 0 2.166 * [backup-simplify]: Simplify 1 into 1 2.166 * [taylor]: Taking taylor expansion of y in z 2.166 * [backup-simplify]: Simplify y into y 2.166 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.166 * [backup-simplify]: Simplify (* -1 (/ 1 y)) into (/ -1 y) 2.166 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.166 * [taylor]: Taking taylor expansion of -1 in y 2.166 * [backup-simplify]: Simplify -1 into -1 2.166 * [taylor]: Taking taylor expansion of y in y 2.166 * [backup-simplify]: Simplify 0 into 0 2.166 * [backup-simplify]: Simplify 1 into 1 2.167 * [backup-simplify]: Simplify (/ -1 1) into -1 2.167 * [backup-simplify]: Simplify -1 into -1 2.168 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.168 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)))) into 0 2.168 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ z y))) into 0 2.168 * [taylor]: Taking taylor expansion of 0 in z 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [taylor]: Taking taylor expansion of 0 in y 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 2.169 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 y))) into 0 2.169 * [taylor]: Taking taylor expansion of 0 in y 2.169 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.171 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 2.172 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.174 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ z y)))) into 0 2.174 * [taylor]: Taking taylor expansion of 0 in z 2.174 * [backup-simplify]: Simplify 0 into 0 2.174 * [taylor]: Taking taylor expansion of 0 in y 2.174 * [backup-simplify]: Simplify 0 into 0 2.174 * [taylor]: Taking taylor expansion of 0 in y 2.174 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.175 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 2.175 * [taylor]: Taking taylor expansion of 0 in y 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.177 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.185 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.187 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ z y))))) into 0 2.187 * [taylor]: Taking taylor expansion of 0 in z 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [taylor]: Taking taylor expansion of 0 in y 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [taylor]: Taking taylor expansion of 0 in y 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [taylor]: Taking taylor expansion of 0 in y 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.189 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 2.189 * [taylor]: Taking taylor expansion of 0 in y 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- y))) (* (/ 1 (- z)) (/ 1 (/ 1 (- x)))))) into (/ (* x y) z) 2.189 * * * [progress]: simplifying candidates 2.193 * [simplify]: Simplifying: (expm1 (/ x (/ z y))) (log1p (/ x (/ z y))) (- (log x) (- (log z) (log y))) (- (log x) (log (/ z y))) (log (/ x (/ z y))) (exp (/ x (/ z y))) (/ (* (* x x) x) (/ (* (* z z) z) (* (* y y) y))) (/ (* (* x x) x) (* (* (/ z y) (/ z y)) (/ z y))) (* (cbrt (/ x (/ z y))) (cbrt (/ x (/ z y)))) (cbrt (/ x (/ z y))) (* (* (/ x (/ z y)) (/ x (/ z y))) (/ x (/ z y))) (sqrt (/ x (/ z y))) (sqrt (/ x (/ z y))) (- x) (- (/ z y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ z y)) (cbrt (/ z y)))) (/ (cbrt x) (cbrt (/ z y))) (/ (* (cbrt x) (cbrt x)) (sqrt (/ z y))) (/ (cbrt x) (sqrt (/ z y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (cbrt z) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (sqrt y))) (/ (cbrt x) (/ (cbrt z) (sqrt y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) 1)) (/ (cbrt x) (/ (cbrt z) y)) (/ (* (cbrt x) (cbrt x)) (/ (sqrt z) (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (sqrt z) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt z) (sqrt y))) (/ (cbrt x) (/ (sqrt z) (sqrt y))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt z) 1)) (/ (cbrt x) (/ (sqrt z) y)) (/ (* (cbrt x) (cbrt x)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ z (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ 1 (sqrt y))) (/ (cbrt x) (/ z (sqrt y))) (/ (* (cbrt x) (cbrt x)) (/ 1 1)) (/ (cbrt x) (/ z y)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (/ z y)) (/ (* (cbrt x) (cbrt x)) z) (/ (cbrt x) (/ 1 y)) (/ (sqrt x) (* (cbrt (/ z y)) (cbrt (/ z y)))) (/ (sqrt x) (cbrt (/ z y))) (/ (sqrt x) (sqrt (/ z y))) (/ (sqrt x) (sqrt (/ z y))) (/ (sqrt x) (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (cbrt z) (cbrt y))) (/ (sqrt x) (/ (* (cbrt z) (cbrt z)) (sqrt y))) (/ (sqrt x) (/ (cbrt z) (sqrt y))) (/ (sqrt x) (/ (* (cbrt z) (cbrt z)) 1)) (/ (sqrt x) (/ (cbrt z) y)) (/ (sqrt x) (/ (sqrt z) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (sqrt z) (cbrt y))) (/ (sqrt x) (/ (sqrt z) (sqrt y))) (/ (sqrt x) (/ (sqrt z) (sqrt y))) (/ (sqrt x) (/ (sqrt z) 1)) (/ (sqrt x) (/ (sqrt z) y)) (/ (sqrt x) (/ 1 (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ z (cbrt y))) (/ (sqrt x) (/ 1 (sqrt y))) (/ (sqrt x) (/ z (sqrt y))) (/ (sqrt x) (/ 1 1)) (/ (sqrt x) (/ z y)) (/ (sqrt x) 1) (/ (sqrt x) (/ z y)) (/ (sqrt x) z) (/ (sqrt x) (/ 1 y)) (/ 1 (* (cbrt (/ z y)) (cbrt (/ z y)))) (/ x (cbrt (/ z y))) (/ 1 (sqrt (/ z y))) (/ x (sqrt (/ z y))) (/ 1 (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y)))) (/ x (/ (cbrt z) (cbrt y))) (/ 1 (/ (* (cbrt z) (cbrt z)) (sqrt y))) (/ x (/ (cbrt z) (sqrt y))) (/ 1 (/ (* (cbrt z) (cbrt z)) 1)) (/ x (/ (cbrt z) y)) (/ 1 (/ (sqrt z) (* (cbrt y) (cbrt y)))) (/ x (/ (sqrt z) (cbrt y))) (/ 1 (/ (sqrt z) (sqrt y))) (/ x (/ (sqrt z) (sqrt y))) (/ 1 (/ (sqrt z) 1)) (/ x (/ (sqrt z) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ x (/ z (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ x (/ z (sqrt y))) (/ 1 (/ 1 1)) (/ x (/ z y)) (/ 1 1) (/ x (/ z y)) (/ 1 z) (/ x (/ 1 y)) (/ 1 (/ z y)) (/ (/ z y) x) (/ x (* (cbrt (/ z y)) (cbrt (/ z y)))) (/ x (sqrt (/ z y))) (/ x (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y)))) (/ x (/ (* (cbrt z) (cbrt z)) (sqrt y))) (/ x (/ (* (cbrt z) (cbrt z)) 1)) (/ x (/ (sqrt z) (* (cbrt y) (cbrt y)))) (/ x (/ (sqrt z) (sqrt y))) (/ x (/ (sqrt z) 1)) (/ x (/ 1 (* (cbrt y) (cbrt y)))) (/ x (/ 1 (sqrt y))) (/ x (/ 1 1)) (/ x 1) (/ x z) (/ (/ z y) (cbrt x)) (/ (/ z y) (sqrt x)) (/ (/ z y) x) (/ x z) (/ (* x y) z) (/ (* x y) z) (/ (* x y) z) 2.195 * * [simplify]: iteration 0: 152 enodes 2.255 * * [simplify]: iteration 1: 370 enodes 2.391 * * [simplify]: iteration 2: 971 enodes 3.093 * * [simplify]: iteration 3: 3436 enodes 3.906 * * [simplify]: iteration complete: 5000 enodes 3.906 * * [simplify]: Extracting #0: cost 94 inf + 0 3.908 * * [simplify]: Extracting #1: cost 814 inf + 84 3.915 * * [simplify]: Extracting #2: cost 1454 inf + 22399 3.967 * * [simplify]: Extracting #3: cost 536 inf + 166564 4.034 * * [simplify]: Extracting #4: cost 58 inf + 258600 4.092 * * [simplify]: Extracting #5: cost 0 inf + 269537 4.190 * [simplify]: Simplified to: (expm1 (/ x (/ z y))) (log1p (/ x (/ z y))) (log (/ x (/ z y))) (log (/ x (/ z y))) (log (/ x (/ z y))) (exp (/ x (/ z y))) (* (* (/ x (/ z y)) (/ x (/ z y))) (/ x (/ z y))) (* (* (/ x (/ z y)) (/ x (/ z y))) (/ x (/ z y))) (* (cbrt (/ x (/ z y))) (cbrt (/ x (/ z y)))) (cbrt (/ x (/ z y))) (* (* (/ x (/ z y)) (/ x (/ z y))) (/ x (/ z y))) (sqrt (/ x (/ z y))) (sqrt (/ x (/ z y))) (- x) (- (/ z y)) (* (/ (cbrt x) (cbrt (/ z y))) (/ (cbrt x) (cbrt (/ z y)))) (/ (cbrt x) (cbrt (/ z y))) (/ (* (cbrt x) (cbrt x)) (sqrt (/ z y))) (/ (cbrt x) (sqrt (/ z y))) (* (* (/ (cbrt x) (cbrt z)) (cbrt y)) (* (/ (cbrt x) (cbrt z)) (cbrt y))) (/ (* (cbrt y) (cbrt x)) (cbrt z)) (* (/ (cbrt x) (cbrt z)) (* (/ (cbrt x) (cbrt z)) (sqrt y))) (* (/ (cbrt x) (cbrt z)) (sqrt y)) (* (/ (cbrt x) (cbrt z)) (/ (cbrt x) (cbrt z))) (/ (cbrt x) (/ (cbrt z) y)) (* (* (cbrt y) (cbrt y)) (* (/ (cbrt x) (sqrt z)) (cbrt x))) (/ (* (cbrt x) (cbrt y)) (sqrt z)) (/ (* (sqrt y) (cbrt x)) (/ (sqrt z) (cbrt x))) (/ (* (sqrt y) (cbrt x)) (sqrt z)) (* (/ (cbrt x) (sqrt z)) (cbrt x)) (/ (* (cbrt x) y) (sqrt z)) (* (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))) (* (cbrt y) (/ (cbrt x) z)) (* (* (sqrt y) (cbrt x)) (cbrt x)) (/ (* (sqrt y) (cbrt x)) z) (* (cbrt x) (cbrt x)) (* (/ (cbrt x) z) y) (* (cbrt x) (cbrt x)) (* (/ (cbrt x) z) y) (/ (* (cbrt x) (cbrt x)) z) (* y (cbrt x)) (/ (sqrt x) (* (cbrt (/ z y)) (cbrt (/ z y)))) (/ (sqrt x) (cbrt (/ z y))) (/ (sqrt x) (sqrt (/ z y))) (/ (sqrt x) (sqrt (/ z y))) (/ (sqrt x) (* (/ (cbrt z) (cbrt y)) (/ (cbrt z) (cbrt y)))) (/ (* (cbrt y) (sqrt x)) (cbrt z)) (/ (sqrt x) (/ (cbrt z) (/ (sqrt y) (cbrt z)))) (/ (* (sqrt x) (sqrt y)) (cbrt z)) (/ (sqrt x) (* (cbrt z) (cbrt z))) (* (/ (sqrt x) (cbrt z)) y) (* (/ (* (sqrt x) (cbrt y)) (sqrt z)) (cbrt y)) (/ (* (sqrt x) (cbrt y)) (sqrt z)) (/ (sqrt y) (/ (sqrt z) (sqrt x))) (/ (sqrt y) (/ (sqrt z) (sqrt x))) (/ (sqrt x) (sqrt z)) (/ (* (sqrt x) y) (sqrt z)) (* (* (cbrt y) (cbrt y)) (sqrt x)) (/ (* (cbrt y) (sqrt x)) z) (* (sqrt x) (sqrt y)) (* (/ (sqrt x) z) (sqrt y)) (sqrt x) (/ (* y (sqrt x)) z) (sqrt x) (/ (* y (sqrt x)) z) (/ (sqrt x) z) (* y (sqrt x)) (/ 1 (* (cbrt (/ z y)) (cbrt (/ z y)))) (/ x (cbrt (/ z y))) (/ 1 (sqrt (/ z y))) (/ x (sqrt (/ z y))) (* (/ (cbrt y) (cbrt z)) (/ (cbrt y) (cbrt z))) (/ (* (cbrt y) x) (cbrt z)) (/ (sqrt y) (* (cbrt z) (cbrt z))) (* (sqrt y) (/ x (cbrt z))) (/ (/ 1 (cbrt z)) (cbrt z)) (/ x (/ (cbrt z) y)) (/ (* (cbrt y) (cbrt y)) (sqrt z)) (/ (* x (cbrt y)) (sqrt z)) (/ (sqrt y) (sqrt z)) (* (sqrt y) (/ x (sqrt z))) (/ 1 (sqrt z)) (/ (* x y) (sqrt z)) (* (cbrt y) (cbrt y)) (/ (* x (cbrt y)) z) (sqrt y) (/ (* (sqrt y) x) z) 1 (/ x (/ z y)) 1 (/ x (/ z y)) (/ 1 z) (* x y) (/ y z) (/ (/ z x) y) (/ x (* (cbrt (/ z y)) (cbrt (/ z y)))) (/ x (sqrt (/ z y))) (/ x (* (/ (cbrt z) (cbrt y)) (/ (cbrt z) (cbrt y)))) (/ x (/ (cbrt z) (/ (sqrt y) (cbrt z)))) (/ x (* (cbrt z) (cbrt z))) (* (* (cbrt y) (cbrt y)) (/ x (sqrt z))) (* (sqrt y) (/ x (sqrt z))) (/ x (sqrt z)) (* (* x (cbrt y)) (cbrt y)) (* (sqrt y) x) x x (/ x z) (/ z (* y (cbrt x))) (/ z (* y (sqrt x))) (/ (/ z x) y) (/ x z) (/ x (/ z y)) (/ x (/ z y)) (/ x (/ z y)) 4.197 * * * [progress]: adding candidates to table 4.574 * * [progress]: iteration 3 / 4 4.574 * * * [progress]: picking best candidate 4.608 * * * * [pick]: Picked # 4.608 * * * [progress]: localizing error 4.621 * * * [progress]: generating rewritten candidates 4.622 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.647 * * * [progress]: generating series expansions 4.647 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.647 * [backup-simplify]: Simplify (* x (/ y z)) into (/ (* x y) z) 4.647 * [approximate]: Taking taylor expansion of (/ (* x y) z) in (x y z) around 0 4.647 * [taylor]: Taking taylor expansion of (/ (* x y) z) in z 4.647 * [taylor]: Taking taylor expansion of (* x y) in z 4.647 * [taylor]: Taking taylor expansion of x in z 4.647 * [backup-simplify]: Simplify x into x 4.647 * [taylor]: Taking taylor expansion of y in z 4.647 * [backup-simplify]: Simplify y into y 4.647 * [taylor]: Taking taylor expansion of z in z 4.647 * [backup-simplify]: Simplify 0 into 0 4.647 * [backup-simplify]: Simplify 1 into 1 4.647 * [backup-simplify]: Simplify (* x y) into (* x y) 4.647 * [backup-simplify]: Simplify (/ (* x y) 1) into (* x y) 4.647 * [taylor]: Taking taylor expansion of (/ (* x y) z) in y 4.647 * [taylor]: Taking taylor expansion of (* x y) in y 4.647 * [taylor]: Taking taylor expansion of x in y 4.647 * [backup-simplify]: Simplify x into x 4.647 * [taylor]: Taking taylor expansion of y in y 4.647 * [backup-simplify]: Simplify 0 into 0 4.647 * [backup-simplify]: Simplify 1 into 1 4.647 * [taylor]: Taking taylor expansion of z in y 4.647 * [backup-simplify]: Simplify z into z 4.647 * [backup-simplify]: Simplify (* x 0) into 0 4.648 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 4.648 * [backup-simplify]: Simplify (/ x z) into (/ x z) 4.648 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 4.648 * [taylor]: Taking taylor expansion of (* x y) in x 4.648 * [taylor]: Taking taylor expansion of x in x 4.648 * [backup-simplify]: Simplify 0 into 0 4.648 * [backup-simplify]: Simplify 1 into 1 4.648 * [taylor]: Taking taylor expansion of y in x 4.648 * [backup-simplify]: Simplify y into y 4.648 * [taylor]: Taking taylor expansion of z in x 4.648 * [backup-simplify]: Simplify z into z 4.648 * [backup-simplify]: Simplify (* 0 y) into 0 4.648 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.649 * [backup-simplify]: Simplify (/ y z) into (/ y z) 4.649 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 4.649 * [taylor]: Taking taylor expansion of (* x y) in x 4.649 * [taylor]: Taking taylor expansion of x in x 4.649 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify 1 into 1 4.649 * [taylor]: Taking taylor expansion of y in x 4.649 * [backup-simplify]: Simplify y into y 4.649 * [taylor]: Taking taylor expansion of z in x 4.649 * [backup-simplify]: Simplify z into z 4.649 * [backup-simplify]: Simplify (* 0 y) into 0 4.649 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.649 * [backup-simplify]: Simplify (/ y z) into (/ y z) 4.649 * [taylor]: Taking taylor expansion of (/ y z) in y 4.649 * [taylor]: Taking taylor expansion of y in y 4.649 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify 1 into 1 4.649 * [taylor]: Taking taylor expansion of z in y 4.649 * [backup-simplify]: Simplify z into z 4.649 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 4.649 * [taylor]: Taking taylor expansion of (/ 1 z) in z 4.649 * [taylor]: Taking taylor expansion of z in z 4.649 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify 1 into 1 4.650 * [backup-simplify]: Simplify (/ 1 1) into 1 4.650 * [backup-simplify]: Simplify 1 into 1 4.650 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 4.650 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ y z) (/ 0 z)))) into 0 4.650 * [taylor]: Taking taylor expansion of 0 in y 4.650 * [backup-simplify]: Simplify 0 into 0 4.650 * [taylor]: Taking taylor expansion of 0 in z 4.650 * [backup-simplify]: Simplify 0 into 0 4.650 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ 1 z) (/ 0 z)))) into 0 4.650 * [taylor]: Taking taylor expansion of 0 in z 4.651 * [backup-simplify]: Simplify 0 into 0 4.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.651 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 4.652 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ y z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 4.652 * [taylor]: Taking taylor expansion of 0 in y 4.652 * [backup-simplify]: Simplify 0 into 0 4.652 * [taylor]: Taking taylor expansion of 0 in z 4.652 * [backup-simplify]: Simplify 0 into 0 4.652 * [taylor]: Taking taylor expansion of 0 in z 4.652 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 4.652 * [taylor]: Taking taylor expansion of 0 in z 4.652 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify 0 into 0 4.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.653 * [backup-simplify]: Simplify 0 into 0 4.654 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.654 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ y z) (/ 0 z)) (* 0 (/ 0 z)) (* 0 (/ 0 z)))) into 0 4.654 * [taylor]: Taking taylor expansion of 0 in y 4.654 * [backup-simplify]: Simplify 0 into 0 4.654 * [taylor]: Taking taylor expansion of 0 in z 4.654 * [backup-simplify]: Simplify 0 into 0 4.654 * [taylor]: Taking taylor expansion of 0 in z 4.654 * [backup-simplify]: Simplify 0 into 0 4.654 * [taylor]: Taking taylor expansion of 0 in z 4.654 * [backup-simplify]: Simplify 0 into 0 4.654 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)) (* 0 (/ 0 z)))) into 0 4.654 * [taylor]: Taking taylor expansion of 0 in z 4.654 * [backup-simplify]: Simplify 0 into 0 4.654 * [backup-simplify]: Simplify 0 into 0 4.654 * [backup-simplify]: Simplify 0 into 0 4.654 * [backup-simplify]: Simplify (* 1 (* (/ 1 z) (* y x))) into (/ (* x y) z) 4.655 * [backup-simplify]: Simplify (* (/ 1 x) (/ (/ 1 y) (/ 1 z))) into (/ z (* x y)) 4.655 * [approximate]: Taking taylor expansion of (/ z (* x y)) in (x y z) around 0 4.655 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 4.655 * [taylor]: Taking taylor expansion of z in z 4.655 * [backup-simplify]: Simplify 0 into 0 4.655 * [backup-simplify]: Simplify 1 into 1 4.655 * [taylor]: Taking taylor expansion of (* x y) in z 4.655 * [taylor]: Taking taylor expansion of x in z 4.655 * [backup-simplify]: Simplify x into x 4.655 * [taylor]: Taking taylor expansion of y in z 4.655 * [backup-simplify]: Simplify y into y 4.655 * [backup-simplify]: Simplify (* x y) into (* x y) 4.655 * [backup-simplify]: Simplify (/ 1 (* x y)) into (/ 1 (* x y)) 4.655 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 4.655 * [taylor]: Taking taylor expansion of z in y 4.655 * [backup-simplify]: Simplify z into z 4.655 * [taylor]: Taking taylor expansion of (* x y) in y 4.655 * [taylor]: Taking taylor expansion of x in y 4.655 * [backup-simplify]: Simplify x into x 4.655 * [taylor]: Taking taylor expansion of y in y 4.655 * [backup-simplify]: Simplify 0 into 0 4.655 * [backup-simplify]: Simplify 1 into 1 4.655 * [backup-simplify]: Simplify (* x 0) into 0 4.655 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 4.655 * [backup-simplify]: Simplify (/ z x) into (/ z x) 4.655 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 4.655 * [taylor]: Taking taylor expansion of z in x 4.655 * [backup-simplify]: Simplify z into z 4.655 * [taylor]: Taking taylor expansion of (* x y) in x 4.655 * [taylor]: Taking taylor expansion of x in x 4.655 * [backup-simplify]: Simplify 0 into 0 4.655 * [backup-simplify]: Simplify 1 into 1 4.656 * [taylor]: Taking taylor expansion of y in x 4.656 * [backup-simplify]: Simplify y into y 4.656 * [backup-simplify]: Simplify (* 0 y) into 0 4.656 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.656 * [backup-simplify]: Simplify (/ z y) into (/ z y) 4.656 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 4.656 * [taylor]: Taking taylor expansion of z in x 4.656 * [backup-simplify]: Simplify z into z 4.656 * [taylor]: Taking taylor expansion of (* x y) in x 4.656 * [taylor]: Taking taylor expansion of x in x 4.656 * [backup-simplify]: Simplify 0 into 0 4.656 * [backup-simplify]: Simplify 1 into 1 4.656 * [taylor]: Taking taylor expansion of y in x 4.656 * [backup-simplify]: Simplify y into y 4.656 * [backup-simplify]: Simplify (* 0 y) into 0 4.656 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.656 * [backup-simplify]: Simplify (/ z y) into (/ z y) 4.656 * [taylor]: Taking taylor expansion of (/ z y) in y 4.656 * [taylor]: Taking taylor expansion of z in y 4.656 * [backup-simplify]: Simplify z into z 4.656 * [taylor]: Taking taylor expansion of y in y 4.656 * [backup-simplify]: Simplify 0 into 0 4.657 * [backup-simplify]: Simplify 1 into 1 4.657 * [backup-simplify]: Simplify (/ z 1) into z 4.657 * [taylor]: Taking taylor expansion of z in z 4.657 * [backup-simplify]: Simplify 0 into 0 4.657 * [backup-simplify]: Simplify 1 into 1 4.657 * [backup-simplify]: Simplify 1 into 1 4.657 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 4.657 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)))) into 0 4.657 * [taylor]: Taking taylor expansion of 0 in y 4.657 * [backup-simplify]: Simplify 0 into 0 4.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* z (/ 0 1)))) into 0 4.658 * [taylor]: Taking taylor expansion of 0 in z 4.658 * [backup-simplify]: Simplify 0 into 0 4.658 * [backup-simplify]: Simplify 0 into 0 4.658 * [backup-simplify]: Simplify 0 into 0 4.659 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 4.659 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.659 * [taylor]: Taking taylor expansion of 0 in y 4.659 * [backup-simplify]: Simplify 0 into 0 4.659 * [taylor]: Taking taylor expansion of 0 in z 4.659 * [backup-simplify]: Simplify 0 into 0 4.659 * [backup-simplify]: Simplify 0 into 0 4.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* z (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.660 * [taylor]: Taking taylor expansion of 0 in z 4.660 * [backup-simplify]: Simplify 0 into 0 4.660 * [backup-simplify]: Simplify 0 into 0 4.660 * [backup-simplify]: Simplify 0 into 0 4.660 * [backup-simplify]: Simplify 0 into 0 4.660 * [backup-simplify]: Simplify (* 1 (* (/ 1 z) (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (/ (* x y) z) 4.660 * [backup-simplify]: Simplify (* (/ 1 (- x)) (/ (/ 1 (- y)) (/ 1 (- z)))) into (* -1 (/ z (* x y))) 4.660 * [approximate]: Taking taylor expansion of (* -1 (/ z (* x y))) in (x y z) around 0 4.660 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in z 4.660 * [taylor]: Taking taylor expansion of -1 in z 4.660 * [backup-simplify]: Simplify -1 into -1 4.660 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 4.660 * [taylor]: Taking taylor expansion of z in z 4.660 * [backup-simplify]: Simplify 0 into 0 4.660 * [backup-simplify]: Simplify 1 into 1 4.660 * [taylor]: Taking taylor expansion of (* x y) in z 4.660 * [taylor]: Taking taylor expansion of x in z 4.660 * [backup-simplify]: Simplify x into x 4.660 * [taylor]: Taking taylor expansion of y in z 4.660 * [backup-simplify]: Simplify y into y 4.660 * [backup-simplify]: Simplify (* x y) into (* x y) 4.660 * [backup-simplify]: Simplify (/ 1 (* x y)) into (/ 1 (* x y)) 4.661 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in y 4.661 * [taylor]: Taking taylor expansion of -1 in y 4.661 * [backup-simplify]: Simplify -1 into -1 4.661 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 4.661 * [taylor]: Taking taylor expansion of z in y 4.661 * [backup-simplify]: Simplify z into z 4.661 * [taylor]: Taking taylor expansion of (* x y) in y 4.661 * [taylor]: Taking taylor expansion of x in y 4.661 * [backup-simplify]: Simplify x into x 4.661 * [taylor]: Taking taylor expansion of y in y 4.661 * [backup-simplify]: Simplify 0 into 0 4.661 * [backup-simplify]: Simplify 1 into 1 4.661 * [backup-simplify]: Simplify (* x 0) into 0 4.661 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 4.661 * [backup-simplify]: Simplify (/ z x) into (/ z x) 4.661 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in x 4.661 * [taylor]: Taking taylor expansion of -1 in x 4.661 * [backup-simplify]: Simplify -1 into -1 4.661 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 4.661 * [taylor]: Taking taylor expansion of z in x 4.661 * [backup-simplify]: Simplify z into z 4.661 * [taylor]: Taking taylor expansion of (* x y) in x 4.661 * [taylor]: Taking taylor expansion of x in x 4.661 * [backup-simplify]: Simplify 0 into 0 4.661 * [backup-simplify]: Simplify 1 into 1 4.661 * [taylor]: Taking taylor expansion of y in x 4.661 * [backup-simplify]: Simplify y into y 4.661 * [backup-simplify]: Simplify (* 0 y) into 0 4.662 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.662 * [backup-simplify]: Simplify (/ z y) into (/ z y) 4.662 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in x 4.662 * [taylor]: Taking taylor expansion of -1 in x 4.662 * [backup-simplify]: Simplify -1 into -1 4.662 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 4.662 * [taylor]: Taking taylor expansion of z in x 4.662 * [backup-simplify]: Simplify z into z 4.662 * [taylor]: Taking taylor expansion of (* x y) in x 4.662 * [taylor]: Taking taylor expansion of x in x 4.662 * [backup-simplify]: Simplify 0 into 0 4.662 * [backup-simplify]: Simplify 1 into 1 4.662 * [taylor]: Taking taylor expansion of y in x 4.662 * [backup-simplify]: Simplify y into y 4.662 * [backup-simplify]: Simplify (* 0 y) into 0 4.662 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.662 * [backup-simplify]: Simplify (/ z y) into (/ z y) 4.662 * [backup-simplify]: Simplify (* -1 (/ z y)) into (* -1 (/ z y)) 4.662 * [taylor]: Taking taylor expansion of (* -1 (/ z y)) in y 4.662 * [taylor]: Taking taylor expansion of -1 in y 4.662 * [backup-simplify]: Simplify -1 into -1 4.662 * [taylor]: Taking taylor expansion of (/ z y) in y 4.662 * [taylor]: Taking taylor expansion of z in y 4.662 * [backup-simplify]: Simplify z into z 4.662 * [taylor]: Taking taylor expansion of y in y 4.662 * [backup-simplify]: Simplify 0 into 0 4.662 * [backup-simplify]: Simplify 1 into 1 4.662 * [backup-simplify]: Simplify (/ z 1) into z 4.662 * [backup-simplify]: Simplify (* -1 z) into (* -1 z) 4.662 * [taylor]: Taking taylor expansion of (* -1 z) in z 4.662 * [taylor]: Taking taylor expansion of -1 in z 4.662 * [backup-simplify]: Simplify -1 into -1 4.662 * [taylor]: Taking taylor expansion of z in z 4.662 * [backup-simplify]: Simplify 0 into 0 4.663 * [backup-simplify]: Simplify 1 into 1 4.663 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 4.663 * [backup-simplify]: Simplify -1 into -1 4.664 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 4.664 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)))) into 0 4.664 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ z y))) into 0 4.664 * [taylor]: Taking taylor expansion of 0 in y 4.664 * [backup-simplify]: Simplify 0 into 0 4.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* z (/ 0 1)))) into 0 4.665 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 z)) into 0 4.665 * [taylor]: Taking taylor expansion of 0 in z 4.665 * [backup-simplify]: Simplify 0 into 0 4.665 * [backup-simplify]: Simplify 0 into 0 4.665 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 4.666 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 4.667 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.667 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ z y)))) into 0 4.667 * [taylor]: Taking taylor expansion of 0 in y 4.667 * [backup-simplify]: Simplify 0 into 0 4.667 * [taylor]: Taking taylor expansion of 0 in z 4.667 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify 0 into 0 4.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* z (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.669 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 z))) into 0 4.669 * [taylor]: Taking taylor expansion of 0 in z 4.669 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify 0 into 0 4.670 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.670 * [backup-simplify]: Simplify 0 into 0 4.670 * [backup-simplify]: Simplify (* -1 (* (/ 1 (- z)) (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (/ (* x y) z) 4.670 * * * [progress]: simplifying candidates 4.670 * [simplify]: Simplifying: (expm1 (* x (/ y z))) (log1p (* x (/ y z))) (* x (/ y z)) (+ (log x) (- (log y) (log z))) (+ (log x) (log (/ y z))) (log (* x (/ y z))) (exp (* x (/ y z))) (* (* (* x x) x) (/ (* (* y y) y) (* (* z z) z))) (* (* (* x x) x) (* (* (/ y z) (/ y z)) (/ y z))) (* (cbrt (* x (/ y z))) (cbrt (* x (/ y z)))) (cbrt (* x (/ y z))) (* (* (* x (/ y z)) (* x (/ y z))) (* x (/ y z))) (sqrt (* x (/ y z))) (sqrt (* x (/ y z))) (* (sqrt x) (sqrt (/ y z))) (* (sqrt x) (sqrt (/ y z))) (* (sqrt x) (/ (sqrt y) (sqrt z))) (* (sqrt x) (/ (sqrt y) (sqrt z))) (* x (* (cbrt (/ y z)) (cbrt (/ y z)))) (* x (sqrt (/ y z))) (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))) (* x (/ (* (cbrt y) (cbrt y)) (sqrt z))) (* x (/ (* (cbrt y) (cbrt y)) 1)) (* x (/ (sqrt y) (* (cbrt z) (cbrt z)))) (* x (/ (sqrt y) (sqrt z))) (* x (/ (sqrt y) 1)) (* x (/ 1 (* (cbrt z) (cbrt z)))) (* x (/ 1 (sqrt z))) (* x (/ 1 1)) (* x 1) (* x y) (* (cbrt x) (/ y z)) (* (sqrt x) (/ y z)) (* x (/ y z)) (* x y) (/ (* x y) z) (/ (* x y) z) (/ (* x y) z) 4.671 * * [simplify]: iteration 0: 71 enodes 4.687 * * [simplify]: iteration 1: 173 enodes 4.749 * * [simplify]: iteration 2: 531 enodes 5.025 * * [simplify]: iteration 3: 2197 enodes 6.913 * * [simplify]: iteration complete: 5000 enodes 6.913 * * [simplify]: Extracting #0: cost 25 inf + 0 6.916 * * [simplify]: Extracting #1: cost 600 inf + 1 6.930 * * [simplify]: Extracting #2: cost 1059 inf + 24510 6.987 * * [simplify]: Extracting #3: cost 325 inf + 147952 7.061 * * [simplify]: Extracting #4: cost 34 inf + 202851 7.143 * * [simplify]: Extracting #5: cost 1 inf + 208245 7.196 * * [simplify]: Extracting #6: cost 0 inf + 208498 7.251 * [simplify]: Simplified to: (expm1 (* (/ y z) x)) (log1p (* (/ y z) x)) (* (/ y z) x) (log (* (/ y z) x)) (log (* (/ y z) x)) (log (* (/ y z) x)) (exp (* (/ y z) x)) (* (* (/ y z) x) (* (* (/ y z) x) (* (/ y z) x))) (* (* (/ y z) x) (* (* (/ y z) x) (* (/ y z) x))) (* (cbrt (* (/ y z) x)) (cbrt (* (/ y z) x))) (cbrt (* (/ y z) x)) (* (* (/ y z) x) (* (* (/ y z) x) (* (/ y z) x))) (sqrt (* (/ y z) x)) (sqrt (* (/ y z) x)) (* (sqrt x) (sqrt (/ y z))) (* (sqrt x) (sqrt (/ y z))) (* (/ (sqrt x) (sqrt z)) (sqrt y)) (* (/ (sqrt x) (sqrt z)) (sqrt y)) (* (* (cbrt (/ y z)) (cbrt (/ y z))) x) (* x (sqrt (/ y z))) (* (* (/ (cbrt y) (cbrt z)) (/ (cbrt y) (cbrt z))) x) (* (* (cbrt y) x) (/ (cbrt y) (sqrt z))) (* (cbrt y) (* (cbrt y) x)) (* (/ x (* (cbrt z) (cbrt z))) (sqrt y)) (* (/ x (sqrt z)) (sqrt y)) (* x (sqrt y)) (/ x (* (cbrt z) (cbrt z))) (/ x (sqrt z)) x x (* y x) (* (cbrt x) (/ y z)) (* (/ y z) (sqrt x)) (* (/ y z) x) (* y x) (* (/ y z) x) (* (/ y z) x) (* (/ y z) x) 7.252 * * * [progress]: adding candidates to table 7.417 * * [progress]: iteration 4 / 4 7.417 * * * [progress]: picking best candidate 7.432 * * * * [pick]: Picked # 7.432 * * * [progress]: localizing error 7.438 * * * [progress]: generating rewritten candidates 7.438 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 7.451 * * * [progress]: generating series expansions 7.451 * * * * [progress]: [ 1 / 1 ] generating series at (2) 7.452 * [backup-simplify]: Simplify (* (/ x z) y) into (/ (* x y) z) 7.452 * [approximate]: Taking taylor expansion of (/ (* x y) z) in (x z y) around 0 7.452 * [taylor]: Taking taylor expansion of (/ (* x y) z) in y 7.452 * [taylor]: Taking taylor expansion of (* x y) in y 7.452 * [taylor]: Taking taylor expansion of x in y 7.452 * [backup-simplify]: Simplify x into x 7.452 * [taylor]: Taking taylor expansion of y in y 7.452 * [backup-simplify]: Simplify 0 into 0 7.452 * [backup-simplify]: Simplify 1 into 1 7.452 * [taylor]: Taking taylor expansion of z in y 7.452 * [backup-simplify]: Simplify z into z 7.452 * [backup-simplify]: Simplify (* x 0) into 0 7.453 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 7.453 * [backup-simplify]: Simplify (/ x z) into (/ x z) 7.453 * [taylor]: Taking taylor expansion of (/ (* x y) z) in z 7.453 * [taylor]: Taking taylor expansion of (* x y) in z 7.453 * [taylor]: Taking taylor expansion of x in z 7.453 * [backup-simplify]: Simplify x into x 7.453 * [taylor]: Taking taylor expansion of y in z 7.453 * [backup-simplify]: Simplify y into y 7.453 * [taylor]: Taking taylor expansion of z in z 7.453 * [backup-simplify]: Simplify 0 into 0 7.453 * [backup-simplify]: Simplify 1 into 1 7.453 * [backup-simplify]: Simplify (* x y) into (* x y) 7.453 * [backup-simplify]: Simplify (/ (* x y) 1) into (* x y) 7.453 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 7.453 * [taylor]: Taking taylor expansion of (* x y) in x 7.453 * [taylor]: Taking taylor expansion of x in x 7.453 * [backup-simplify]: Simplify 0 into 0 7.453 * [backup-simplify]: Simplify 1 into 1 7.453 * [taylor]: Taking taylor expansion of y in x 7.453 * [backup-simplify]: Simplify y into y 7.453 * [taylor]: Taking taylor expansion of z in x 7.454 * [backup-simplify]: Simplify z into z 7.454 * [backup-simplify]: Simplify (* 0 y) into 0 7.454 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 7.454 * [backup-simplify]: Simplify (/ y z) into (/ y z) 7.454 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 7.454 * [taylor]: Taking taylor expansion of (* x y) in x 7.454 * [taylor]: Taking taylor expansion of x in x 7.455 * [backup-simplify]: Simplify 0 into 0 7.455 * [backup-simplify]: Simplify 1 into 1 7.455 * [taylor]: Taking taylor expansion of y in x 7.455 * [backup-simplify]: Simplify y into y 7.455 * [taylor]: Taking taylor expansion of z in x 7.455 * [backup-simplify]: Simplify z into z 7.455 * [backup-simplify]: Simplify (* 0 y) into 0 7.455 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 7.455 * [backup-simplify]: Simplify (/ y z) into (/ y z) 7.455 * [taylor]: Taking taylor expansion of (/ y z) in z 7.455 * [taylor]: Taking taylor expansion of y in z 7.456 * [backup-simplify]: Simplify y into y 7.456 * [taylor]: Taking taylor expansion of z in z 7.456 * [backup-simplify]: Simplify 0 into 0 7.456 * [backup-simplify]: Simplify 1 into 1 7.456 * [backup-simplify]: Simplify (/ y 1) into y 7.456 * [taylor]: Taking taylor expansion of y in y 7.456 * [backup-simplify]: Simplify 0 into 0 7.456 * [backup-simplify]: Simplify 1 into 1 7.456 * [backup-simplify]: Simplify 1 into 1 7.457 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 7.457 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ y z) (/ 0 z)))) into 0 7.457 * [taylor]: Taking taylor expansion of 0 in z 7.457 * [backup-simplify]: Simplify 0 into 0 7.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 7.458 * [taylor]: Taking taylor expansion of 0 in y 7.458 * [backup-simplify]: Simplify 0 into 0 7.458 * [backup-simplify]: Simplify 0 into 0 7.459 * [backup-simplify]: Simplify 0 into 0 7.460 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 7.460 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ y z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 7.460 * [taylor]: Taking taylor expansion of 0 in z 7.460 * [backup-simplify]: Simplify 0 into 0 7.460 * [taylor]: Taking taylor expansion of 0 in y 7.460 * [backup-simplify]: Simplify 0 into 0 7.460 * [backup-simplify]: Simplify 0 into 0 7.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.462 * [taylor]: Taking taylor expansion of 0 in y 7.462 * [backup-simplify]: Simplify 0 into 0 7.462 * [backup-simplify]: Simplify 0 into 0 7.462 * [backup-simplify]: Simplify 0 into 0 7.462 * [backup-simplify]: Simplify 0 into 0 7.462 * [backup-simplify]: Simplify (* 1 (* y (* (/ 1 z) x))) into (/ (* x y) z) 7.463 * [backup-simplify]: Simplify (* (/ (/ 1 x) (/ 1 z)) (/ 1 y)) into (/ z (* x y)) 7.463 * [approximate]: Taking taylor expansion of (/ z (* x y)) in (x z y) around 0 7.463 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 7.463 * [taylor]: Taking taylor expansion of z in y 7.463 * [backup-simplify]: Simplify z into z 7.463 * [taylor]: Taking taylor expansion of (* x y) in y 7.463 * [taylor]: Taking taylor expansion of x in y 7.463 * [backup-simplify]: Simplify x into x 7.463 * [taylor]: Taking taylor expansion of y in y 7.463 * [backup-simplify]: Simplify 0 into 0 7.463 * [backup-simplify]: Simplify 1 into 1 7.463 * [backup-simplify]: Simplify (* x 0) into 0 7.464 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 7.464 * [backup-simplify]: Simplify (/ z x) into (/ z x) 7.464 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 7.464 * [taylor]: Taking taylor expansion of z in z 7.464 * [backup-simplify]: Simplify 0 into 0 7.464 * [backup-simplify]: Simplify 1 into 1 7.464 * [taylor]: Taking taylor expansion of (* x y) in z 7.464 * [taylor]: Taking taylor expansion of x in z 7.464 * [backup-simplify]: Simplify x into x 7.464 * [taylor]: Taking taylor expansion of y in z 7.464 * [backup-simplify]: Simplify y into y 7.464 * [backup-simplify]: Simplify (* x y) into (* x y) 7.464 * [backup-simplify]: Simplify (/ 1 (* x y)) into (/ 1 (* x y)) 7.464 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 7.464 * [taylor]: Taking taylor expansion of z in x 7.464 * [backup-simplify]: Simplify z into z 7.464 * [taylor]: Taking taylor expansion of (* x y) in x 7.464 * [taylor]: Taking taylor expansion of x in x 7.464 * [backup-simplify]: Simplify 0 into 0 7.464 * [backup-simplify]: Simplify 1 into 1 7.464 * [taylor]: Taking taylor expansion of y in x 7.464 * [backup-simplify]: Simplify y into y 7.464 * [backup-simplify]: Simplify (* 0 y) into 0 7.465 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 7.465 * [backup-simplify]: Simplify (/ z y) into (/ z y) 7.465 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 7.465 * [taylor]: Taking taylor expansion of z in x 7.465 * [backup-simplify]: Simplify z into z 7.465 * [taylor]: Taking taylor expansion of (* x y) in x 7.465 * [taylor]: Taking taylor expansion of x in x 7.465 * [backup-simplify]: Simplify 0 into 0 7.466 * [backup-simplify]: Simplify 1 into 1 7.466 * [taylor]: Taking taylor expansion of y in x 7.466 * [backup-simplify]: Simplify y into y 7.466 * [backup-simplify]: Simplify (* 0 y) into 0 7.466 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 7.466 * [backup-simplify]: Simplify (/ z y) into (/ z y) 7.466 * [taylor]: Taking taylor expansion of (/ z y) in z 7.466 * [taylor]: Taking taylor expansion of z in z 7.466 * [backup-simplify]: Simplify 0 into 0 7.467 * [backup-simplify]: Simplify 1 into 1 7.467 * [taylor]: Taking taylor expansion of y in z 7.467 * [backup-simplify]: Simplify y into y 7.467 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.467 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.467 * [taylor]: Taking taylor expansion of y in y 7.467 * [backup-simplify]: Simplify 0 into 0 7.467 * [backup-simplify]: Simplify 1 into 1 7.467 * [backup-simplify]: Simplify (/ 1 1) into 1 7.467 * [backup-simplify]: Simplify 1 into 1 7.468 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 7.469 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)))) into 0 7.469 * [taylor]: Taking taylor expansion of 0 in z 7.469 * [backup-simplify]: Simplify 0 into 0 7.469 * [taylor]: Taking taylor expansion of 0 in y 7.469 * [backup-simplify]: Simplify 0 into 0 7.469 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 7.469 * [taylor]: Taking taylor expansion of 0 in y 7.469 * [backup-simplify]: Simplify 0 into 0 7.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.470 * [backup-simplify]: Simplify 0 into 0 7.471 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 7.472 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.472 * [taylor]: Taking taylor expansion of 0 in z 7.472 * [backup-simplify]: Simplify 0 into 0 7.472 * [taylor]: Taking taylor expansion of 0 in y 7.472 * [backup-simplify]: Simplify 0 into 0 7.472 * [taylor]: Taking taylor expansion of 0 in y 7.472 * [backup-simplify]: Simplify 0 into 0 7.472 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.472 * [taylor]: Taking taylor expansion of 0 in y 7.472 * [backup-simplify]: Simplify 0 into 0 7.472 * [backup-simplify]: Simplify 0 into 0 7.472 * [backup-simplify]: Simplify 0 into 0 7.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.474 * [backup-simplify]: Simplify 0 into 0 7.475 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 7.476 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.476 * [taylor]: Taking taylor expansion of 0 in z 7.476 * [backup-simplify]: Simplify 0 into 0 7.476 * [taylor]: Taking taylor expansion of 0 in y 7.476 * [backup-simplify]: Simplify 0 into 0 7.476 * [taylor]: Taking taylor expansion of 0 in y 7.476 * [backup-simplify]: Simplify 0 into 0 7.476 * [taylor]: Taking taylor expansion of 0 in y 7.476 * [backup-simplify]: Simplify 0 into 0 7.477 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.477 * [taylor]: Taking taylor expansion of 0 in y 7.477 * [backup-simplify]: Simplify 0 into 0 7.477 * [backup-simplify]: Simplify 0 into 0 7.477 * [backup-simplify]: Simplify 0 into 0 7.477 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 y)) (* (/ 1 z) (/ 1 (/ 1 x))))) into (/ (* x y) z) 7.477 * [backup-simplify]: Simplify (* (/ (/ 1 (- x)) (/ 1 (- z))) (/ 1 (- y))) into (* -1 (/ z (* x y))) 7.477 * [approximate]: Taking taylor expansion of (* -1 (/ z (* x y))) in (x z y) around 0 7.477 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in y 7.477 * [taylor]: Taking taylor expansion of -1 in y 7.477 * [backup-simplify]: Simplify -1 into -1 7.477 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 7.477 * [taylor]: Taking taylor expansion of z in y 7.477 * [backup-simplify]: Simplify z into z 7.477 * [taylor]: Taking taylor expansion of (* x y) in y 7.477 * [taylor]: Taking taylor expansion of x in y 7.477 * [backup-simplify]: Simplify x into x 7.477 * [taylor]: Taking taylor expansion of y in y 7.478 * [backup-simplify]: Simplify 0 into 0 7.478 * [backup-simplify]: Simplify 1 into 1 7.478 * [backup-simplify]: Simplify (* x 0) into 0 7.478 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 7.478 * [backup-simplify]: Simplify (/ z x) into (/ z x) 7.478 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in z 7.478 * [taylor]: Taking taylor expansion of -1 in z 7.478 * [backup-simplify]: Simplify -1 into -1 7.478 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 7.479 * [taylor]: Taking taylor expansion of z in z 7.479 * [backup-simplify]: Simplify 0 into 0 7.479 * [backup-simplify]: Simplify 1 into 1 7.479 * [taylor]: Taking taylor expansion of (* x y) in z 7.479 * [taylor]: Taking taylor expansion of x in z 7.479 * [backup-simplify]: Simplify x into x 7.479 * [taylor]: Taking taylor expansion of y in z 7.479 * [backup-simplify]: Simplify y into y 7.479 * [backup-simplify]: Simplify (* x y) into (* x y) 7.479 * [backup-simplify]: Simplify (/ 1 (* x y)) into (/ 1 (* x y)) 7.479 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in x 7.479 * [taylor]: Taking taylor expansion of -1 in x 7.479 * [backup-simplify]: Simplify -1 into -1 7.479 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 7.479 * [taylor]: Taking taylor expansion of z in x 7.479 * [backup-simplify]: Simplify z into z 7.479 * [taylor]: Taking taylor expansion of (* x y) in x 7.479 * [taylor]: Taking taylor expansion of x in x 7.479 * [backup-simplify]: Simplify 0 into 0 7.479 * [backup-simplify]: Simplify 1 into 1 7.479 * [taylor]: Taking taylor expansion of y in x 7.479 * [backup-simplify]: Simplify y into y 7.479 * [backup-simplify]: Simplify (* 0 y) into 0 7.480 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 7.480 * [backup-simplify]: Simplify (/ z y) into (/ z y) 7.480 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in x 7.480 * [taylor]: Taking taylor expansion of -1 in x 7.480 * [backup-simplify]: Simplify -1 into -1 7.480 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 7.480 * [taylor]: Taking taylor expansion of z in x 7.480 * [backup-simplify]: Simplify z into z 7.480 * [taylor]: Taking taylor expansion of (* x y) in x 7.480 * [taylor]: Taking taylor expansion of x in x 7.480 * [backup-simplify]: Simplify 0 into 0 7.481 * [backup-simplify]: Simplify 1 into 1 7.481 * [taylor]: Taking taylor expansion of y in x 7.481 * [backup-simplify]: Simplify y into y 7.481 * [backup-simplify]: Simplify (* 0 y) into 0 7.481 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 7.481 * [backup-simplify]: Simplify (/ z y) into (/ z y) 7.482 * [backup-simplify]: Simplify (* -1 (/ z y)) into (* -1 (/ z y)) 7.482 * [taylor]: Taking taylor expansion of (* -1 (/ z y)) in z 7.482 * [taylor]: Taking taylor expansion of -1 in z 7.482 * [backup-simplify]: Simplify -1 into -1 7.482 * [taylor]: Taking taylor expansion of (/ z y) in z 7.482 * [taylor]: Taking taylor expansion of z in z 7.482 * [backup-simplify]: Simplify 0 into 0 7.482 * [backup-simplify]: Simplify 1 into 1 7.482 * [taylor]: Taking taylor expansion of y in z 7.482 * [backup-simplify]: Simplify y into y 7.482 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.482 * [backup-simplify]: Simplify (* -1 (/ 1 y)) into (/ -1 y) 7.482 * [taylor]: Taking taylor expansion of (/ -1 y) in y 7.482 * [taylor]: Taking taylor expansion of -1 in y 7.482 * [backup-simplify]: Simplify -1 into -1 7.482 * [taylor]: Taking taylor expansion of y in y 7.482 * [backup-simplify]: Simplify 0 into 0 7.482 * [backup-simplify]: Simplify 1 into 1 7.483 * [backup-simplify]: Simplify (/ -1 1) into -1 7.483 * [backup-simplify]: Simplify -1 into -1 7.484 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 7.484 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)))) into 0 7.485 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ z y))) into 0 7.485 * [taylor]: Taking taylor expansion of 0 in z 7.485 * [backup-simplify]: Simplify 0 into 0 7.485 * [taylor]: Taking taylor expansion of 0 in y 7.485 * [backup-simplify]: Simplify 0 into 0 7.485 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 7.486 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 y))) into 0 7.486 * [taylor]: Taking taylor expansion of 0 in y 7.486 * [backup-simplify]: Simplify 0 into 0 7.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.487 * [backup-simplify]: Simplify 0 into 0 7.488 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 7.488 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.489 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ z y)))) into 0 7.490 * [taylor]: Taking taylor expansion of 0 in z 7.490 * [backup-simplify]: Simplify 0 into 0 7.490 * [taylor]: Taking taylor expansion of 0 in y 7.490 * [backup-simplify]: Simplify 0 into 0 7.490 * [taylor]: Taking taylor expansion of 0 in y 7.490 * [backup-simplify]: Simplify 0 into 0 7.490 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.491 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 7.491 * [taylor]: Taking taylor expansion of 0 in y 7.491 * [backup-simplify]: Simplify 0 into 0 7.491 * [backup-simplify]: Simplify 0 into 0 7.491 * [backup-simplify]: Simplify 0 into 0 7.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.492 * [backup-simplify]: Simplify 0 into 0 7.494 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 7.495 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.496 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ z y))))) into 0 7.496 * [taylor]: Taking taylor expansion of 0 in z 7.496 * [backup-simplify]: Simplify 0 into 0 7.496 * [taylor]: Taking taylor expansion of 0 in y 7.496 * [backup-simplify]: Simplify 0 into 0 7.496 * [taylor]: Taking taylor expansion of 0 in y 7.496 * [backup-simplify]: Simplify 0 into 0 7.496 * [taylor]: Taking taylor expansion of 0 in y 7.496 * [backup-simplify]: Simplify 0 into 0 7.497 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.498 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 7.498 * [taylor]: Taking taylor expansion of 0 in y 7.498 * [backup-simplify]: Simplify 0 into 0 7.498 * [backup-simplify]: Simplify 0 into 0 7.498 * [backup-simplify]: Simplify 0 into 0 7.499 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- y))) (* (/ 1 (- z)) (/ 1 (/ 1 (- x)))))) into (/ (* x y) z) 7.499 * * * [progress]: simplifying candidates 7.500 * [simplify]: Simplifying: (expm1 (* (/ x z) y)) (log1p (* (/ x z) y)) (* (/ x z) y) (+ (- (log x) (log z)) (log y)) (+ (log (/ x z)) (log y)) (log (* (/ x z) y)) (exp (* (/ x z) y)) (* (/ (* (* x x) x) (* (* z z) z)) (* (* y y) y)) (* (* (* (/ x z) (/ x z)) (/ x z)) (* (* y y) y)) (* (cbrt (* (/ x z) y)) (cbrt (* (/ x z) y))) (cbrt (* (/ x z) y)) (* (* (* (/ x z) y) (* (/ x z) y)) (* (/ x z) y)) (sqrt (* (/ x z) y)) (sqrt (* (/ x z) y)) (* (sqrt (/ x z)) (sqrt y)) (* (sqrt (/ x z)) (sqrt y)) (* (/ (sqrt x) (sqrt z)) (sqrt y)) (* (/ (sqrt x) (sqrt z)) (sqrt y)) (* (/ x z) (* (cbrt y) (cbrt y))) (* (/ x z) (sqrt y)) (* (/ x z) 1) (* (cbrt (/ x z)) y) (* (sqrt (/ x z)) y) (* (/ (cbrt x) (cbrt z)) y) (* (/ (cbrt x) (sqrt z)) y) (* (/ (cbrt x) z) y) (* (/ (sqrt x) (cbrt z)) y) (* (/ (sqrt x) (sqrt z)) y) (* (/ (sqrt x) z) y) (* (/ x (cbrt z)) y) (* (/ x (sqrt z)) y) (* (/ x z) y) (* (/ x z) y) (* (/ 1 z) y) (* x y) (/ (* x y) z) (/ (* x y) z) (/ (* x y) z) 7.501 * * [simplify]: iteration 0: 69 enodes 7.535 * * [simplify]: iteration 1: 158 enodes 7.607 * * [simplify]: iteration 2: 516 enodes 7.978 * * [simplify]: iteration 3: 2113 enodes 9.148 * * [simplify]: iteration complete: 5001 enodes 9.148 * * [simplify]: Extracting #0: cost 26 inf + 0 9.149 * * [simplify]: Extracting #1: cost 487 inf + 0 9.154 * * [simplify]: Extracting #2: cost 1532 inf + 8371 9.185 * * [simplify]: Extracting #3: cost 1014 inf + 118769 9.249 * * [simplify]: Extracting #4: cost 170 inf + 246275 9.317 * * [simplify]: Extracting #5: cost 2 inf + 270565 9.400 * * [simplify]: Extracting #6: cost 0 inf + 270311 9.465 * * [simplify]: Extracting #7: cost 0 inf + 270271 9.540 * [simplify]: Simplified to: (expm1 (/ (* x y) z)) (log1p (/ (* x y) z)) (/ (* x y) z) (log (/ (* x y) z)) (log (/ (* x y) z)) (log (/ (* x y) z)) (exp (/ (* x y) z)) (* (* (* y (/ x z)) (* y (/ x z))) (* y (/ x z))) (* (* (* y (/ x z)) (* y (/ x z))) (* y (/ x z))) (* (cbrt (/ (* x y) z)) (cbrt (/ (* x y) z))) (cbrt (/ (* x y) z)) (* (* (* y (/ x z)) (* y (/ x z))) (* y (/ x z))) (sqrt (/ (* x y) z)) (sqrt (/ (* x y) z)) (* (sqrt (/ x z)) (sqrt y)) (* (sqrt (/ x z)) (sqrt y)) (* (sqrt y) (/ (sqrt x) (sqrt z))) (* (sqrt y) (/ (sqrt x) (sqrt z))) (* (/ x z) (* (cbrt y) (cbrt y))) (/ (* x (sqrt y)) z) (/ x z) (* (cbrt (/ x z)) y) (* y (sqrt (/ x z))) (/ (* (cbrt x) y) (cbrt z)) (/ (* y (cbrt x)) (sqrt z)) (/ (* (cbrt x) y) z) (/ (* y (sqrt x)) (cbrt z)) (/ (* y (sqrt x)) (sqrt z)) (/ (* (sqrt x) y) z) (/ (* x y) (cbrt z)) (* y (/ x (sqrt z))) (/ (* x y) z) (/ (* x y) z) (/ y z) (* y x) (/ (* x y) z) (/ (* x y) z) (/ (* x y) z) 9.541 * * * [progress]: adding candidates to table 9.693 * [progress]: [Phase 3 of 3] Extracting. 9.693 * * [regime]: Finding splitpoints for: (# # # # # #) 9.693 * * * [regime-changes]: Trying 5 branch expressions: ((* x y) (/ (* x y) z) z y x) 9.693 * * * * [regimes]: Trying to branch on (* x y) from (# # # # # #) 9.786 * * * * [regimes]: Trying to branch on (* x y) from (# #) 9.821 * * * * [regimes]: Trying to branch on (/ (* x y) z) from (# # # # # #) 9.919 * * * * [regimes]: Trying to branch on z from (# # # # # #) 10.008 * * * * [regimes]: Trying to branch on y from (# # # # # #) 10.088 * * * * [regimes]: Trying to branch on x from (# # # # # #) 10.217 * * * [regime]: Found split indices: #