14.577 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying: (* (+ a (+ b (+ c d))) 2.0) 0.024 * [simplify]: Sending expressions to egg_math: (* (+ h0 (+ h1 (+ h2 h3))) h4) 0.027 * * [simplify]: iteration 0 : 17 enodes (cost 4 ) 0.028 * * [simplify]: iteration 1 : 53 enodes (cost 4 ) 0.030 * * [simplify]: iteration 2 : 151 enodes (cost 4 ) 0.033 * * [simplify]: iteration 3 : 313 enodes (cost 4 ) 0.036 * * [simplify]: iteration 4 : 419 enodes (cost 4 ) 0.039 * * [simplify]: iteration 5 : 425 enodes (cost 4 ) 0.042 * * [simplify]: iteration 6 : 425 enodes (cost 4 ) 0.043 * * [progress]: iteration 1 / 4 0.043 * * * [progress]: picking best candidate 0.044 * * * * [pick]: Picked # 0.044 * * * [progress]: localizing error 0.051 * * * [progress]: generating rewritten candidates 0.051 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.097 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 0.113 * * * [progress]: generating series expansions 0.114 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.114 * [backup-simplify]: Simplify (+ a (+ b (+ c d))) into (+ d (+ a (+ b c))) 0.114 * [approximate]: Taking taylor expansion of (+ d (+ a (+ b c))) in (a b c d) around 0 0.114 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.114 * [taylor]: Taking taylor expansion of d in d 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in d 0.114 * [taylor]: Taking taylor expansion of a in d 0.114 * [backup-simplify]: Simplify a into a 0.114 * [taylor]: Taking taylor expansion of (+ b c) in d 0.114 * [taylor]: Taking taylor expansion of b in d 0.114 * [backup-simplify]: Simplify b into b 0.114 * [taylor]: Taking taylor expansion of c in d 0.114 * [backup-simplify]: Simplify c into c 0.114 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 0.114 * [taylor]: Taking taylor expansion of d in c 0.114 * [backup-simplify]: Simplify d into d 0.114 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in c 0.114 * [taylor]: Taking taylor expansion of a in c 0.114 * [backup-simplify]: Simplify a into a 0.114 * [taylor]: Taking taylor expansion of (+ b c) in c 0.114 * [taylor]: Taking taylor expansion of b in c 0.114 * [backup-simplify]: Simplify b into b 0.114 * [taylor]: Taking taylor expansion of c in c 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in b 0.114 * [taylor]: Taking taylor expansion of d in b 0.114 * [backup-simplify]: Simplify d into d 0.114 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in b 0.114 * [taylor]: Taking taylor expansion of a in b 0.114 * [backup-simplify]: Simplify a into a 0.114 * [taylor]: Taking taylor expansion of (+ b c) in b 0.114 * [taylor]: Taking taylor expansion of b in b 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [taylor]: Taking taylor expansion of c in b 0.115 * [backup-simplify]: Simplify c into c 0.115 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in a 0.115 * [taylor]: Taking taylor expansion of d in a 0.115 * [backup-simplify]: Simplify d into d 0.115 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in a 0.115 * [taylor]: Taking taylor expansion of a in a 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [taylor]: Taking taylor expansion of (+ b c) in a 0.115 * [taylor]: Taking taylor expansion of b in a 0.115 * [backup-simplify]: Simplify b into b 0.115 * [taylor]: Taking taylor expansion of c in a 0.115 * [backup-simplify]: Simplify c into c 0.115 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in a 0.115 * [taylor]: Taking taylor expansion of d in a 0.115 * [backup-simplify]: Simplify d into d 0.115 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in a 0.115 * [taylor]: Taking taylor expansion of a in a 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [taylor]: Taking taylor expansion of (+ b c) in a 0.115 * [taylor]: Taking taylor expansion of b in a 0.115 * [backup-simplify]: Simplify b into b 0.115 * [taylor]: Taking taylor expansion of c in a 0.115 * [backup-simplify]: Simplify c into c 0.115 * [backup-simplify]: Simplify (+ b c) into (+ b c) 0.115 * [backup-simplify]: Simplify (+ 0 (+ b c)) into (+ c b) 0.115 * [backup-simplify]: Simplify (+ d (+ c b)) into (+ d (+ b c)) 0.115 * [taylor]: Taking taylor expansion of (+ d (+ b c)) in b 0.115 * [taylor]: Taking taylor expansion of d in b 0.115 * [backup-simplify]: Simplify d into d 0.115 * [taylor]: Taking taylor expansion of (+ b c) in b 0.115 * [taylor]: Taking taylor expansion of b in b 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [taylor]: Taking taylor expansion of c in b 0.115 * [backup-simplify]: Simplify c into c 0.115 * [backup-simplify]: Simplify (+ 0 c) into c 0.115 * [backup-simplify]: Simplify (+ d c) into (+ d c) 0.115 * [taylor]: Taking taylor expansion of (+ d c) in c 0.115 * [taylor]: Taking taylor expansion of d in c 0.115 * [backup-simplify]: Simplify d into d 0.115 * [taylor]: Taking taylor expansion of c in c 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (+ d 0) into d 0.115 * [taylor]: Taking taylor expansion of d in d 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify (+ 1 0) into 1 0.116 * [backup-simplify]: Simplify (+ 0 1) into 1 0.116 * [taylor]: Taking taylor expansion of 1 in b 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [taylor]: Taking taylor expansion of 1 in c 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [taylor]: Taking taylor expansion of 1 in d 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (+ 1 0) into 1 0.117 * [backup-simplify]: Simplify (+ 0 1) into 1 0.117 * [taylor]: Taking taylor expansion of 1 in c 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [taylor]: Taking taylor expansion of 1 in d 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (+ 0 1) into 1 0.118 * [taylor]: Taking taylor expansion of 1 in d 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* c (* 1 1)))) (+ (* 1 (* 1 (* 1 (* b 1)))) (* 1 (* 1 (* 1 (* 1 a)))))) into (+ a (+ b c)) 0.118 * [backup-simplify]: Simplify (+ (/ 1 a) (+ (/ 1 b) (+ (/ 1 c) (/ 1 d)))) into (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) 0.118 * [approximate]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in (a b c d) around 0 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in d 0.118 * [taylor]: Taking taylor expansion of (/ 1 b) in d 0.118 * [taylor]: Taking taylor expansion of b in d 0.118 * [backup-simplify]: Simplify b into b 0.118 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))) in d 0.118 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.118 * [taylor]: Taking taylor expansion of d in d 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 a)) in d 0.119 * [taylor]: Taking taylor expansion of (/ 1 c) in d 0.119 * [taylor]: Taking taylor expansion of c in d 0.119 * [backup-simplify]: Simplify c into c 0.119 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.119 * [taylor]: Taking taylor expansion of (/ 1 a) in d 0.119 * [taylor]: Taking taylor expansion of a in d 0.119 * [backup-simplify]: Simplify a into a 0.119 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in c 0.119 * [taylor]: Taking taylor expansion of (/ 1 b) in c 0.119 * [taylor]: Taking taylor expansion of b in c 0.119 * [backup-simplify]: Simplify b into b 0.119 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))) in c 0.119 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.119 * [taylor]: Taking taylor expansion of d in c 0.119 * [backup-simplify]: Simplify d into d 0.119 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 a)) in c 0.119 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.119 * [taylor]: Taking taylor expansion of c in c 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [taylor]: Taking taylor expansion of (/ 1 a) in c 0.119 * [taylor]: Taking taylor expansion of a in c 0.119 * [backup-simplify]: Simplify a into a 0.119 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in b 0.119 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.119 * [taylor]: Taking taylor expansion of b in b 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (/ 1 1) into 1 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))) in b 0.120 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.120 * [taylor]: Taking taylor expansion of d in b 0.120 * [backup-simplify]: Simplify d into d 0.120 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 a)) in b 0.120 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.120 * [taylor]: Taking taylor expansion of c in b 0.120 * [backup-simplify]: Simplify c into c 0.120 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.120 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.120 * [taylor]: Taking taylor expansion of a in b 0.120 * [backup-simplify]: Simplify a into a 0.120 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in a 0.120 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.120 * [taylor]: Taking taylor expansion of b in a 0.120 * [backup-simplify]: Simplify b into b 0.120 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))) in a 0.120 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.120 * [taylor]: Taking taylor expansion of d in a 0.120 * [backup-simplify]: Simplify d into d 0.120 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 a)) in a 0.120 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.120 * [taylor]: Taking taylor expansion of c in a 0.120 * [backup-simplify]: Simplify c into c 0.120 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.120 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.120 * [taylor]: Taking taylor expansion of a in a 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (/ 1 1) into 1 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in a 0.120 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.120 * [taylor]: Taking taylor expansion of b in a 0.120 * [backup-simplify]: Simplify b into b 0.121 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))) in a 0.121 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.121 * [taylor]: Taking taylor expansion of d in a 0.121 * [backup-simplify]: Simplify d into d 0.121 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 a)) in a 0.121 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.121 * [taylor]: Taking taylor expansion of c in a 0.121 * [backup-simplify]: Simplify c into c 0.121 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.121 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.121 * [taylor]: Taking taylor expansion of a in a 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (/ 1 1) into 1 0.121 * [backup-simplify]: Simplify (+ 0 1) into 1 0.121 * [backup-simplify]: Simplify (+ 0 1) into 1 0.122 * [backup-simplify]: Simplify (+ 0 1) into 1 0.122 * [taylor]: Taking taylor expansion of 1 in b 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ (/ 1 c) 0) into (/ 1 c) 0.122 * [backup-simplify]: Simplify (+ (/ 1 d) (/ 1 c)) into (+ (/ 1 c) (/ 1 d)) 0.122 * [backup-simplify]: Simplify (+ (/ 1 b) (+ (/ 1 c) (/ 1 d))) into (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in b 0.122 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.122 * [taylor]: Taking taylor expansion of c in b 0.122 * [backup-simplify]: Simplify c into c 0.122 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 b)) in b 0.123 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.123 * [taylor]: Taking taylor expansion of d in b 0.123 * [backup-simplify]: Simplify d into d 0.123 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.123 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.123 * [taylor]: Taking taylor expansion of b in b 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (/ 1 1) into 1 0.123 * [backup-simplify]: Simplify (+ 0 1) into 1 0.123 * [backup-simplify]: Simplify (+ 0 1) into 1 0.123 * [taylor]: Taking taylor expansion of 1 in c 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [taylor]: Taking taylor expansion of 1 in c 0.123 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [taylor]: Taking taylor expansion of 0 in b 0.127 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 0.128 * [backup-simplify]: Simplify (+ (/ 1 c) (/ 1 d)) into (+ (/ 1 d) (/ 1 c)) 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 c)) in c 0.128 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.128 * [taylor]: Taking taylor expansion of d in c 0.128 * [backup-simplify]: Simplify d into d 0.128 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.128 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.128 * [taylor]: Taking taylor expansion of c in c 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (/ 1 1) into 1 0.128 * [backup-simplify]: Simplify (+ 0 1) into 1 0.128 * [taylor]: Taking taylor expansion of 1 in d 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [taylor]: Taking taylor expansion of 0 in c 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [taylor]: Taking taylor expansion of 1 in d 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [taylor]: Taking taylor expansion of 1 in d 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [taylor]: Taking taylor expansion of 0 in b 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [taylor]: Taking taylor expansion of 0 in c 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [taylor]: Taking taylor expansion of 0 in c 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [taylor]: Taking taylor expansion of 0 in c 0.131 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 0.132 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.132 * [taylor]: Taking taylor expansion of d in d 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [taylor]: Taking taylor expansion of 0 in d 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [taylor]: Taking taylor expansion of 0 in d 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [taylor]: Taking taylor expansion of 0 in d 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 b)) 1)))) (+ (* 1 (* 1 (* (/ 1 (/ 1 c)) (* 1 1)))) (* 1 (* (/ 1 (/ 1 d)) (* 1 (* 1 1)))))) into (+ d (+ b c)) 0.133 * [backup-simplify]: Simplify (+ (/ 1 (- a)) (+ (/ 1 (- b)) (+ (/ 1 (- c)) (/ 1 (- d))))) into (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) 0.133 * [approximate]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in (a b c d) around 0 0.133 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in d 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in d 0.133 * [taylor]: Taking taylor expansion of (/ 1 b) in d 0.133 * [taylor]: Taking taylor expansion of b in d 0.133 * [backup-simplify]: Simplify b into b 0.133 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))) in d 0.133 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.133 * [taylor]: Taking taylor expansion of d in d 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (/ 1 1) into 1 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 a)) in d 0.133 * [taylor]: Taking taylor expansion of (/ 1 c) in d 0.134 * [taylor]: Taking taylor expansion of c in d 0.134 * [backup-simplify]: Simplify c into c 0.134 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.134 * [taylor]: Taking taylor expansion of (/ 1 a) in d 0.134 * [taylor]: Taking taylor expansion of a in d 0.134 * [backup-simplify]: Simplify a into a 0.134 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.134 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in c 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in c 0.134 * [taylor]: Taking taylor expansion of (/ 1 b) in c 0.134 * [taylor]: Taking taylor expansion of b in c 0.134 * [backup-simplify]: Simplify b into b 0.134 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))) in c 0.134 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.134 * [taylor]: Taking taylor expansion of d in c 0.134 * [backup-simplify]: Simplify d into d 0.134 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 a)) in c 0.134 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.134 * [taylor]: Taking taylor expansion of c in c 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (/ 1 1) into 1 0.134 * [taylor]: Taking taylor expansion of (/ 1 a) in c 0.134 * [taylor]: Taking taylor expansion of a in c 0.134 * [backup-simplify]: Simplify a into a 0.134 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.134 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in b 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in b 0.134 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.134 * [taylor]: Taking taylor expansion of b in b 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))) in b 0.135 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.135 * [taylor]: Taking taylor expansion of d in b 0.135 * [backup-simplify]: Simplify d into d 0.135 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 a)) in b 0.135 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.135 * [taylor]: Taking taylor expansion of c in b 0.135 * [backup-simplify]: Simplify c into c 0.135 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.135 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.135 * [taylor]: Taking taylor expansion of a in b 0.135 * [backup-simplify]: Simplify a into a 0.135 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.135 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in a 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in a 0.135 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.135 * [taylor]: Taking taylor expansion of b in a 0.135 * [backup-simplify]: Simplify b into b 0.135 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))) in a 0.135 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.135 * [taylor]: Taking taylor expansion of d in a 0.135 * [backup-simplify]: Simplify d into d 0.135 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 a)) in a 0.135 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.135 * [taylor]: Taking taylor expansion of c in a 0.135 * [backup-simplify]: Simplify c into c 0.135 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.135 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.135 * [taylor]: Taking taylor expansion of a in a 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 0.135 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in a 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in a 0.135 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.135 * [taylor]: Taking taylor expansion of b in a 0.135 * [backup-simplify]: Simplify b into b 0.135 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))) in a 0.136 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.136 * [taylor]: Taking taylor expansion of d in a 0.136 * [backup-simplify]: Simplify d into d 0.136 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 a)) in a 0.136 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.136 * [taylor]: Taking taylor expansion of c in a 0.136 * [backup-simplify]: Simplify c into c 0.136 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.136 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.136 * [taylor]: Taking taylor expansion of a in a 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [backup-simplify]: Simplify (+ 0 1) into 1 0.136 * [backup-simplify]: Simplify (+ 0 1) into 1 0.137 * [backup-simplify]: Simplify (+ 0 1) into 1 0.137 * [backup-simplify]: Simplify (- 1) into -1 0.137 * [taylor]: Taking taylor expansion of -1 in b 0.137 * [backup-simplify]: Simplify -1 into -1 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (+ (/ 1 c) 0) into (/ 1 c) 0.138 * [backup-simplify]: Simplify (+ (/ 1 d) (/ 1 c)) into (+ (/ 1 c) (/ 1 d)) 0.138 * [backup-simplify]: Simplify (+ (/ 1 b) (+ (/ 1 c) (/ 1 d))) into (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) 0.138 * [backup-simplify]: Simplify (- (+ (/ 1 c) (+ (/ 1 d) (/ 1 b)))) into (- (+ (/ 1 c) (+ (/ 1 d) (/ 1 b)))) 0.138 * [taylor]: Taking taylor expansion of (- (+ (/ 1 c) (+ (/ 1 d) (/ 1 b)))) in b 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in b 0.138 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.138 * [taylor]: Taking taylor expansion of c in b 0.138 * [backup-simplify]: Simplify c into c 0.138 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 b)) in b 0.138 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.138 * [taylor]: Taking taylor expansion of d in b 0.138 * [backup-simplify]: Simplify d into d 0.138 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.138 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.138 * [taylor]: Taking taylor expansion of b in b 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (/ 1 1) into 1 0.138 * [backup-simplify]: Simplify (+ 0 1) into 1 0.139 * [backup-simplify]: Simplify (+ 0 1) into 1 0.139 * [backup-simplify]: Simplify (- 1) into -1 0.139 * [taylor]: Taking taylor expansion of -1 in c 0.139 * [backup-simplify]: Simplify -1 into -1 0.139 * [taylor]: Taking taylor expansion of -1 in c 0.139 * [backup-simplify]: Simplify -1 into -1 0.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (- 0) into 0 0.140 * [taylor]: Taking taylor expansion of 0 in b 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 0.141 * [backup-simplify]: Simplify (+ (/ 1 c) (/ 1 d)) into (+ (/ 1 d) (/ 1 c)) 0.141 * [backup-simplify]: Simplify (- (+ (/ 1 d) (/ 1 c))) into (- (+ (/ 1 d) (/ 1 c))) 0.141 * [taylor]: Taking taylor expansion of (- (+ (/ 1 d) (/ 1 c))) in c 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 c)) in c 0.141 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.141 * [taylor]: Taking taylor expansion of d in c 0.141 * [backup-simplify]: Simplify d into d 0.141 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.141 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.141 * [taylor]: Taking taylor expansion of c in c 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [backup-simplify]: Simplify (+ 0 1) into 1 0.142 * [backup-simplify]: Simplify (- 1) into -1 0.142 * [taylor]: Taking taylor expansion of -1 in d 0.142 * [backup-simplify]: Simplify -1 into -1 0.142 * [taylor]: Taking taylor expansion of 0 in c 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [taylor]: Taking taylor expansion of -1 in d 0.142 * [backup-simplify]: Simplify -1 into -1 0.142 * [taylor]: Taking taylor expansion of -1 in d 0.142 * [backup-simplify]: Simplify -1 into -1 0.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [taylor]: Taking taylor expansion of 0 in b 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [taylor]: Taking taylor expansion of 0 in c 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify (- 0) into 0 0.145 * [taylor]: Taking taylor expansion of 0 in c 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [taylor]: Taking taylor expansion of 0 in c 0.145 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 0.146 * [backup-simplify]: Simplify (- (/ 1 d)) into (- (/ 1 d)) 0.146 * [taylor]: Taking taylor expansion of (- (/ 1 d)) in d 0.146 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.146 * [taylor]: Taking taylor expansion of d in d 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [backup-simplify]: Simplify (- 1) into -1 0.146 * [backup-simplify]: Simplify -1 into -1 0.146 * [taylor]: Taking taylor expansion of 0 in d 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [taylor]: Taking taylor expansion of 0 in d 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [taylor]: Taking taylor expansion of 0 in d 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify -1 into -1 0.146 * [backup-simplify]: Simplify -1 into -1 0.147 * [backup-simplify]: Simplify (+ (* -1 (* 1 (* 1 (* (/ 1 (/ 1 (- b))) 1)))) (+ (* -1 (* 1 (* (/ 1 (/ 1 (- c))) (* 1 1)))) (* -1 (* (/ 1 (/ 1 (- d))) (* 1 (* 1 1)))))) into (+ d (+ b c)) 0.147 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 0.147 * [backup-simplify]: Simplify (+ b (+ c d)) into (+ d (+ b c)) 0.147 * [approximate]: Taking taylor expansion of (+ d (+ b c)) in (b c d) around 0 0.147 * [taylor]: Taking taylor expansion of (+ d (+ b c)) in d 0.147 * [taylor]: Taking taylor expansion of d in d 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [taylor]: Taking taylor expansion of (+ b c) in d 0.147 * [taylor]: Taking taylor expansion of b in d 0.147 * [backup-simplify]: Simplify b into b 0.147 * [taylor]: Taking taylor expansion of c in d 0.147 * [backup-simplify]: Simplify c into c 0.147 * [taylor]: Taking taylor expansion of (+ d (+ b c)) in c 0.147 * [taylor]: Taking taylor expansion of d in c 0.147 * [backup-simplify]: Simplify d into d 0.147 * [taylor]: Taking taylor expansion of (+ b c) in c 0.147 * [taylor]: Taking taylor expansion of b in c 0.147 * [backup-simplify]: Simplify b into b 0.147 * [taylor]: Taking taylor expansion of c in c 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [taylor]: Taking taylor expansion of (+ d (+ b c)) in b 0.147 * [taylor]: Taking taylor expansion of d in b 0.147 * [backup-simplify]: Simplify d into d 0.147 * [taylor]: Taking taylor expansion of (+ b c) in b 0.148 * [taylor]: Taking taylor expansion of b in b 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [taylor]: Taking taylor expansion of c in b 0.148 * [backup-simplify]: Simplify c into c 0.148 * [taylor]: Taking taylor expansion of (+ d (+ b c)) in b 0.148 * [taylor]: Taking taylor expansion of d in b 0.148 * [backup-simplify]: Simplify d into d 0.148 * [taylor]: Taking taylor expansion of (+ b c) in b 0.148 * [taylor]: Taking taylor expansion of b in b 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [taylor]: Taking taylor expansion of c in b 0.148 * [backup-simplify]: Simplify c into c 0.148 * [backup-simplify]: Simplify (+ 0 c) into c 0.148 * [backup-simplify]: Simplify (+ d c) into (+ d c) 0.148 * [taylor]: Taking taylor expansion of (+ d c) in c 0.148 * [taylor]: Taking taylor expansion of d in c 0.148 * [backup-simplify]: Simplify d into d 0.148 * [taylor]: Taking taylor expansion of c in c 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (+ d 0) into d 0.148 * [taylor]: Taking taylor expansion of d in d 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (+ 1 0) into 1 0.148 * [backup-simplify]: Simplify (+ 0 1) into 1 0.148 * [taylor]: Taking taylor expansion of 1 in c 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [taylor]: Taking taylor expansion of 1 in d 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (+ 0 1) into 1 0.149 * [taylor]: Taking taylor expansion of 1 in d 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (+ (* 1 (* d (* 1 1))) (+ (* 1 (* 1 (* c 1))) (* 1 (* 1 (* 1 b))))) into (+ d (+ b c)) 0.149 * [backup-simplify]: Simplify (+ (/ 1 b) (+ (/ 1 c) (/ 1 d))) into (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) 0.149 * [approximate]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in (b c d) around 0 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in d 0.149 * [taylor]: Taking taylor expansion of (/ 1 c) in d 0.149 * [taylor]: Taking taylor expansion of c in d 0.149 * [backup-simplify]: Simplify c into c 0.149 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 b)) in d 0.149 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.149 * [taylor]: Taking taylor expansion of d in d 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [taylor]: Taking taylor expansion of (/ 1 b) in d 0.150 * [taylor]: Taking taylor expansion of b in d 0.150 * [backup-simplify]: Simplify b into b 0.150 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in c 0.150 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.150 * [taylor]: Taking taylor expansion of c in c 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 b)) in c 0.150 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.150 * [taylor]: Taking taylor expansion of d in c 0.150 * [backup-simplify]: Simplify d into d 0.150 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.150 * [taylor]: Taking taylor expansion of (/ 1 b) in c 0.150 * [taylor]: Taking taylor expansion of b in c 0.150 * [backup-simplify]: Simplify b into b 0.150 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in b 0.150 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.150 * [taylor]: Taking taylor expansion of c in b 0.150 * [backup-simplify]: Simplify c into c 0.150 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 b)) in b 0.150 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.150 * [taylor]: Taking taylor expansion of d in b 0.150 * [backup-simplify]: Simplify d into d 0.150 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.150 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.150 * [taylor]: Taking taylor expansion of b in b 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (/ 1 1) into 1 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in b 0.151 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.151 * [taylor]: Taking taylor expansion of c in b 0.151 * [backup-simplify]: Simplify c into c 0.151 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 b)) in b 0.151 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.151 * [taylor]: Taking taylor expansion of d in b 0.151 * [backup-simplify]: Simplify d into d 0.151 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.151 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.151 * [taylor]: Taking taylor expansion of b in b 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (/ 1 1) into 1 0.151 * [backup-simplify]: Simplify (+ 0 1) into 1 0.152 * [backup-simplify]: Simplify (+ 0 1) into 1 0.152 * [taylor]: Taking taylor expansion of 1 in c 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 0.152 * [backup-simplify]: Simplify (+ (/ 1 c) (/ 1 d)) into (+ (/ 1 d) (/ 1 c)) 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 c)) in c 0.152 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.152 * [taylor]: Taking taylor expansion of d in c 0.152 * [backup-simplify]: Simplify d into d 0.152 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.152 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.152 * [taylor]: Taking taylor expansion of c in c 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [backup-simplify]: Simplify (+ 0 1) into 1 0.153 * [taylor]: Taking taylor expansion of 1 in d 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [taylor]: Taking taylor expansion of 1 in d 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [taylor]: Taking taylor expansion of 0 in c 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 0.154 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.155 * [taylor]: Taking taylor expansion of d in d 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (/ 1 1) into 1 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [taylor]: Taking taylor expansion of 0 in d 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (/ 1 (/ 1 b))))) (+ (* 1 (* 1 (* (/ 1 (/ 1 c)) 1))) (* 1 (* (/ 1 (/ 1 d)) (* 1 1))))) into (+ d (+ b c)) 0.155 * [backup-simplify]: Simplify (+ (/ 1 (- b)) (+ (/ 1 (- c)) (/ 1 (- d)))) into (- (+ (/ 1 c) (+ (/ 1 d) (/ 1 b)))) 0.155 * [approximate]: Taking taylor expansion of (- (+ (/ 1 c) (+ (/ 1 d) (/ 1 b)))) in (b c d) around 0 0.155 * [taylor]: Taking taylor expansion of (- (+ (/ 1 c) (+ (/ 1 d) (/ 1 b)))) in d 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in d 0.155 * [taylor]: Taking taylor expansion of (/ 1 c) in d 0.156 * [taylor]: Taking taylor expansion of c in d 0.156 * [backup-simplify]: Simplify c into c 0.156 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 b)) in d 0.156 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.156 * [taylor]: Taking taylor expansion of d in d 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [taylor]: Taking taylor expansion of (/ 1 b) in d 0.156 * [taylor]: Taking taylor expansion of b in d 0.156 * [backup-simplify]: Simplify b into b 0.156 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.156 * [taylor]: Taking taylor expansion of (- (+ (/ 1 c) (+ (/ 1 d) (/ 1 b)))) in c 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in c 0.156 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.156 * [taylor]: Taking taylor expansion of c in c 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 b)) in c 0.156 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.156 * [taylor]: Taking taylor expansion of d in c 0.156 * [backup-simplify]: Simplify d into d 0.156 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.156 * [taylor]: Taking taylor expansion of (/ 1 b) in c 0.156 * [taylor]: Taking taylor expansion of b in c 0.156 * [backup-simplify]: Simplify b into b 0.156 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.156 * [taylor]: Taking taylor expansion of (- (+ (/ 1 c) (+ (/ 1 d) (/ 1 b)))) in b 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in b 0.156 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.156 * [taylor]: Taking taylor expansion of c in b 0.156 * [backup-simplify]: Simplify c into c 0.157 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 b)) in b 0.157 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.157 * [taylor]: Taking taylor expansion of d in b 0.157 * [backup-simplify]: Simplify d into d 0.157 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.157 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.157 * [taylor]: Taking taylor expansion of b in b 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (/ 1 1) into 1 0.157 * [taylor]: Taking taylor expansion of (- (+ (/ 1 c) (+ (/ 1 d) (/ 1 b)))) in b 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in b 0.157 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.157 * [taylor]: Taking taylor expansion of c in b 0.157 * [backup-simplify]: Simplify c into c 0.157 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 b)) in b 0.157 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.157 * [taylor]: Taking taylor expansion of d in b 0.157 * [backup-simplify]: Simplify d into d 0.157 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.157 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.157 * [taylor]: Taking taylor expansion of b in b 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (/ 1 1) into 1 0.158 * [backup-simplify]: Simplify (+ 0 1) into 1 0.158 * [backup-simplify]: Simplify (+ 0 1) into 1 0.158 * [backup-simplify]: Simplify (- 1) into -1 0.158 * [taylor]: Taking taylor expansion of -1 in c 0.158 * [backup-simplify]: Simplify -1 into -1 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 0.159 * [backup-simplify]: Simplify (+ (/ 1 c) (/ 1 d)) into (+ (/ 1 d) (/ 1 c)) 0.159 * [backup-simplify]: Simplify (- (+ (/ 1 d) (/ 1 c))) into (- (+ (/ 1 d) (/ 1 c))) 0.159 * [taylor]: Taking taylor expansion of (- (+ (/ 1 d) (/ 1 c))) in c 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 c)) in c 0.159 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.159 * [taylor]: Taking taylor expansion of d in c 0.159 * [backup-simplify]: Simplify d into d 0.159 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.159 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.159 * [taylor]: Taking taylor expansion of c in c 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (/ 1 1) into 1 0.159 * [backup-simplify]: Simplify (+ 0 1) into 1 0.160 * [backup-simplify]: Simplify (- 1) into -1 0.160 * [taylor]: Taking taylor expansion of -1 in d 0.160 * [backup-simplify]: Simplify -1 into -1 0.160 * [taylor]: Taking taylor expansion of -1 in d 0.160 * [backup-simplify]: Simplify -1 into -1 0.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify (- 0) into 0 0.161 * [taylor]: Taking taylor expansion of 0 in c 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 0.161 * [backup-simplify]: Simplify (- (/ 1 d)) into (- (/ 1 d)) 0.161 * [taylor]: Taking taylor expansion of (- (/ 1 d)) in d 0.161 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.162 * [taylor]: Taking taylor expansion of d in d 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (/ 1 1) into 1 0.162 * [backup-simplify]: Simplify (- 1) into -1 0.162 * [backup-simplify]: Simplify -1 into -1 0.162 * [taylor]: Taking taylor expansion of 0 in d 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify -1 into -1 0.162 * [backup-simplify]: Simplify -1 into -1 0.162 * [backup-simplify]: Simplify (+ (* -1 (* 1 (* 1 (/ 1 (/ 1 (- b)))))) (+ (* -1 (* 1 (* (/ 1 (/ 1 (- c))) 1))) (* -1 (* (/ 1 (/ 1 (- d))) (* 1 1))))) into (+ d (+ b c)) 0.163 * * * [progress]: simplifying candidates 0.163 * [simplify]: Simplifying: (expm1 (+ a (+ b (+ c d)))) (log1p (+ a (+ b (+ c d)))) (* (exp a) (* (exp b) (* (exp c) (exp d)))) (* (exp a) (* (exp b) (exp (+ c d)))) (* (exp a) (exp (+ b (+ c d)))) (log (+ a (+ b (+ c d)))) (exp (+ a (+ b (+ c d)))) (* (cbrt (+ a (+ b (+ c d)))) (cbrt (+ a (+ b (+ c d))))) (cbrt (+ a (+ b (+ c d)))) (* (* (+ a (+ b (+ c d))) (+ a (+ b (+ c d)))) (+ a (+ b (+ c d)))) (sqrt (+ a (+ b (+ c d)))) (sqrt (+ a (+ b (+ c d)))) (+ (pow a 3) (pow (+ b (+ c d)) 3)) (+ (* a a) (- (* (+ b (+ c d)) (+ b (+ c d))) (* a (+ b (+ c d))))) (- (* a a) (* (+ b (+ c d)) (+ b (+ c d)))) (- a (+ b (+ c d))) (+ a (+ b (+ c d))) (+ a (+ b (+ c d))) (+ a (+ b (+ c d))) (+ a b) (expm1 (+ b (+ c d))) (log1p (+ b (+ c d))) (* (exp b) (* (exp c) (exp d))) (* (exp b) (exp (+ c d))) (log (+ b (+ c d))) (exp (+ b (+ c d))) (* (cbrt (+ b (+ c d))) (cbrt (+ b (+ c d)))) (cbrt (+ b (+ c d))) (* (* (+ b (+ c d)) (+ b (+ c d))) (+ b (+ c d))) (sqrt (+ b (+ c d))) (sqrt (+ b (+ c d))) (+ (pow b 3) (pow (+ c d) 3)) (+ (* b b) (- (* (+ c d) (+ c d)) (* b (+ c d)))) (- (* b b) (* (+ c d) (+ c d))) (- b (+ c d)) (+ b (+ c d)) (+ b (+ c d)) (+ b c) (+ a (+ b c)) (+ d (+ b c)) (+ d (+ b c)) (+ d (+ b c)) (+ d (+ b c)) (+ d (+ b c)) 0.163 * [simplify]: Sending expressions to egg_math: (expm1 (+ h0 (+ h1 (+ h2 h3)))) (log1p (+ h0 (+ h1 (+ h2 h3)))) (* (exp h0) (* (exp h1) (* (exp h2) (exp h3)))) (* (exp h0) (* (exp h1) (exp (+ h2 h3)))) (* (exp h0) (exp (+ h1 (+ h2 h3)))) (log (+ h0 (+ h1 (+ h2 h3)))) (exp (+ h0 (+ h1 (+ h2 h3)))) (* (cbrt (+ h0 (+ h1 (+ h2 h3)))) (cbrt (+ h0 (+ h1 (+ h2 h3))))) (cbrt (+ h0 (+ h1 (+ h2 h3)))) (* (* (+ h0 (+ h1 (+ h2 h3))) (+ h0 (+ h1 (+ h2 h3)))) (+ h0 (+ h1 (+ h2 h3)))) (sqrt (+ h0 (+ h1 (+ h2 h3)))) (sqrt (+ h0 (+ h1 (+ h2 h3)))) (+ (pow h0 3) (pow (+ h1 (+ h2 h3)) 3)) (+ (* h0 h0) (- (* (+ h1 (+ h2 h3)) (+ h1 (+ h2 h3))) (* h0 (+ h1 (+ h2 h3))))) (- (* h0 h0) (* (+ h1 (+ h2 h3)) (+ h1 (+ h2 h3)))) (- h0 (+ h1 (+ h2 h3))) (+ h0 (+ h1 (+ h2 h3))) (+ h0 (+ h1 (+ h2 h3))) (+ h0 (+ h1 (+ h2 h3))) (+ h0 h1) (expm1 (+ h1 (+ h2 h3))) (log1p (+ h1 (+ h2 h3))) (* (exp h1) (* (exp h2) (exp h3))) (* (exp h1) (exp (+ h2 h3))) (log (+ h1 (+ h2 h3))) (exp (+ h1 (+ h2 h3))) (* (cbrt (+ h1 (+ h2 h3))) (cbrt (+ h1 (+ h2 h3)))) (cbrt (+ h1 (+ h2 h3))) (* (* (+ h1 (+ h2 h3)) (+ h1 (+ h2 h3))) (+ h1 (+ h2 h3))) (sqrt (+ h1 (+ h2 h3))) (sqrt (+ h1 (+ h2 h3))) (+ (pow h1 3) (pow (+ h2 h3) 3)) (+ (* h1 h1) (- (* (+ h2 h3) (+ h2 h3)) (* h1 (+ h2 h3)))) (- (* h1 h1) (* (+ h2 h3) (+ h2 h3))) (- h1 (+ h2 h3)) (+ h1 (+ h2 h3)) (+ h1 (+ h2 h3)) (+ h1 h2) (+ h0 (+ h1 h2)) (+ h3 (+ h1 h2)) (+ h3 (+ h1 h2)) (+ h3 (+ h1 h2)) (+ h3 (+ h1 h2)) (+ h3 (+ h1 h2)) 0.166 * * [simplify]: iteration 0 : 180 enodes (cost 164 ) 0.170 * * [simplify]: iteration 1 : 707 enodes (cost 155 ) 0.184 * * [simplify]: iteration 2 : 4320 enodes (cost 155 ) 0.245 * * [simplify]: iteration 3 : 5001 enodes (cost 155 ) 0.246 * * * [progress]: adding candidates to table 0.325 * * [progress]: iteration 2 / 4 0.325 * * * [progress]: picking best candidate 0.344 * * * * [pick]: Picked # 0.344 * * * [progress]: localizing error 0.351 * * * [progress]: generating rewritten candidates 0.351 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.414 * * * [progress]: generating series expansions 0.414 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.414 * [backup-simplify]: Simplify (+ a (+ (+ b c) d)) into (+ d (+ a (+ b c))) 0.414 * [approximate]: Taking taylor expansion of (+ d (+ a (+ b c))) in (a b c d) around 0 0.414 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.414 * [taylor]: Taking taylor expansion of d in d 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in d 0.414 * [taylor]: Taking taylor expansion of a in d 0.414 * [backup-simplify]: Simplify a into a 0.414 * [taylor]: Taking taylor expansion of (+ b c) in d 0.414 * [taylor]: Taking taylor expansion of b in d 0.414 * [backup-simplify]: Simplify b into b 0.414 * [taylor]: Taking taylor expansion of c in d 0.414 * [backup-simplify]: Simplify c into c 0.414 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 0.414 * [taylor]: Taking taylor expansion of d in c 0.414 * [backup-simplify]: Simplify d into d 0.414 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in c 0.414 * [taylor]: Taking taylor expansion of a in c 0.414 * [backup-simplify]: Simplify a into a 0.414 * [taylor]: Taking taylor expansion of (+ b c) in c 0.414 * [taylor]: Taking taylor expansion of b in c 0.414 * [backup-simplify]: Simplify b into b 0.414 * [taylor]: Taking taylor expansion of c in c 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in b 0.414 * [taylor]: Taking taylor expansion of d in b 0.414 * [backup-simplify]: Simplify d into d 0.414 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in b 0.414 * [taylor]: Taking taylor expansion of a in b 0.414 * [backup-simplify]: Simplify a into a 0.414 * [taylor]: Taking taylor expansion of (+ b c) in b 0.414 * [taylor]: Taking taylor expansion of b in b 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [taylor]: Taking taylor expansion of c in b 0.414 * [backup-simplify]: Simplify c into c 0.414 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in a 0.414 * [taylor]: Taking taylor expansion of d in a 0.414 * [backup-simplify]: Simplify d into d 0.414 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in a 0.414 * [taylor]: Taking taylor expansion of a in a 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of (+ b c) in a 0.415 * [taylor]: Taking taylor expansion of b in a 0.415 * [backup-simplify]: Simplify b into b 0.415 * [taylor]: Taking taylor expansion of c in a 0.415 * [backup-simplify]: Simplify c into c 0.415 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in a 0.415 * [taylor]: Taking taylor expansion of d in a 0.415 * [backup-simplify]: Simplify d into d 0.415 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in a 0.415 * [taylor]: Taking taylor expansion of a in a 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of (+ b c) in a 0.415 * [taylor]: Taking taylor expansion of b in a 0.415 * [backup-simplify]: Simplify b into b 0.415 * [taylor]: Taking taylor expansion of c in a 0.415 * [backup-simplify]: Simplify c into c 0.415 * [backup-simplify]: Simplify (+ b c) into (+ b c) 0.415 * [backup-simplify]: Simplify (+ 0 (+ b c)) into (+ c b) 0.415 * [backup-simplify]: Simplify (+ d (+ c b)) into (+ d (+ b c)) 0.415 * [taylor]: Taking taylor expansion of (+ d (+ b c)) in b 0.415 * [taylor]: Taking taylor expansion of d in b 0.415 * [backup-simplify]: Simplify d into d 0.415 * [taylor]: Taking taylor expansion of (+ b c) in b 0.415 * [taylor]: Taking taylor expansion of b in b 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of c in b 0.415 * [backup-simplify]: Simplify c into c 0.415 * [backup-simplify]: Simplify (+ 0 c) into c 0.415 * [backup-simplify]: Simplify (+ d c) into (+ d c) 0.415 * [taylor]: Taking taylor expansion of (+ d c) in c 0.415 * [taylor]: Taking taylor expansion of d in c 0.415 * [backup-simplify]: Simplify d into d 0.415 * [taylor]: Taking taylor expansion of c in c 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (+ d 0) into d 0.415 * [taylor]: Taking taylor expansion of d in d 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify (+ 0 0) into 0 0.416 * [backup-simplify]: Simplify (+ 1 0) into 1 0.416 * [backup-simplify]: Simplify (+ 0 1) into 1 0.416 * [taylor]: Taking taylor expansion of 1 in b 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [taylor]: Taking taylor expansion of 1 in c 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [taylor]: Taking taylor expansion of 1 in d 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (+ 1 0) into 1 0.417 * [backup-simplify]: Simplify (+ 0 1) into 1 0.417 * [taylor]: Taking taylor expansion of 1 in c 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [taylor]: Taking taylor expansion of 1 in d 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (+ 0 1) into 1 0.417 * [taylor]: Taking taylor expansion of 1 in d 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* c (* 1 1)))) (+ (* 1 (* 1 (* 1 (* b 1)))) (* 1 (* 1 (* 1 (* 1 a)))))) into (+ a (+ b c)) 0.418 * [backup-simplify]: Simplify (+ (/ 1 a) (+ (+ (/ 1 b) (/ 1 c)) (/ 1 d))) into (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) 0.418 * [approximate]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in (a b c d) around 0 0.418 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.418 * [taylor]: Taking taylor expansion of (/ 1 b) in d 0.418 * [taylor]: Taking taylor expansion of b in d 0.418 * [backup-simplify]: Simplify b into b 0.418 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.418 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in d 0.418 * [taylor]: Taking taylor expansion of (/ 1 c) in d 0.418 * [taylor]: Taking taylor expansion of c in d 0.418 * [backup-simplify]: Simplify c into c 0.418 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.418 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in d 0.418 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.418 * [taylor]: Taking taylor expansion of d in d 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (/ 1 1) into 1 0.418 * [taylor]: Taking taylor expansion of (/ 1 a) in d 0.418 * [taylor]: Taking taylor expansion of a in d 0.418 * [backup-simplify]: Simplify a into a 0.418 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.418 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.418 * [taylor]: Taking taylor expansion of (/ 1 b) in c 0.418 * [taylor]: Taking taylor expansion of b in c 0.418 * [backup-simplify]: Simplify b into b 0.418 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.418 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in c 0.418 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.418 * [taylor]: Taking taylor expansion of c in c 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (/ 1 1) into 1 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in c 0.419 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.419 * [taylor]: Taking taylor expansion of d in c 0.419 * [backup-simplify]: Simplify d into d 0.419 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.419 * [taylor]: Taking taylor expansion of (/ 1 a) in c 0.419 * [taylor]: Taking taylor expansion of a in c 0.419 * [backup-simplify]: Simplify a into a 0.419 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.419 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.419 * [taylor]: Taking taylor expansion of b in b 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (/ 1 1) into 1 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in b 0.419 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.419 * [taylor]: Taking taylor expansion of c in b 0.419 * [backup-simplify]: Simplify c into c 0.419 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in b 0.419 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.419 * [taylor]: Taking taylor expansion of d in b 0.419 * [backup-simplify]: Simplify d into d 0.419 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.419 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.419 * [taylor]: Taking taylor expansion of a in b 0.419 * [backup-simplify]: Simplify a into a 0.419 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 0.419 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.419 * [taylor]: Taking taylor expansion of b in a 0.419 * [backup-simplify]: Simplify b into b 0.420 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 0.420 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.420 * [taylor]: Taking taylor expansion of c in a 0.420 * [backup-simplify]: Simplify c into c 0.420 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 0.420 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.420 * [taylor]: Taking taylor expansion of d in a 0.420 * [backup-simplify]: Simplify d into d 0.420 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.420 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.420 * [taylor]: Taking taylor expansion of a in a 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 0.420 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.420 * [taylor]: Taking taylor expansion of b in a 0.420 * [backup-simplify]: Simplify b into b 0.420 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 0.420 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.420 * [taylor]: Taking taylor expansion of c in a 0.420 * [backup-simplify]: Simplify c into c 0.420 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 0.420 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.420 * [taylor]: Taking taylor expansion of d in a 0.420 * [backup-simplify]: Simplify d into d 0.420 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.420 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.420 * [taylor]: Taking taylor expansion of a in a 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (/ 1 1) into 1 0.421 * [backup-simplify]: Simplify (+ 0 1) into 1 0.421 * [backup-simplify]: Simplify (+ 0 1) into 1 0.421 * [backup-simplify]: Simplify (+ 0 1) into 1 0.421 * [taylor]: Taking taylor expansion of 1 in b 0.421 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 0.422 * [backup-simplify]: Simplify (+ (/ 1 c) (/ 1 d)) into (+ (/ 1 d) (/ 1 c)) 0.422 * [backup-simplify]: Simplify (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) into (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) 0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) in b 0.422 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.422 * [taylor]: Taking taylor expansion of d in b 0.422 * [backup-simplify]: Simplify d into d 0.422 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 b)) in b 0.422 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.422 * [taylor]: Taking taylor expansion of c in b 0.422 * [backup-simplify]: Simplify c into c 0.422 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.422 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.422 * [taylor]: Taking taylor expansion of b in b 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (/ 1 1) into 1 0.423 * [backup-simplify]: Simplify (+ 0 1) into 1 0.423 * [backup-simplify]: Simplify (+ 0 1) into 1 0.423 * [taylor]: Taking taylor expansion of 1 in c 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [taylor]: Taking taylor expansion of 1 in c 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 0.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 0.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [taylor]: Taking taylor expansion of 0 in b 0.424 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ (/ 1 c) 0) into (/ 1 c) 0.425 * [backup-simplify]: Simplify (+ (/ 1 d) (/ 1 c)) into (+ (/ 1 c) (/ 1 d)) 0.425 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 d)) in c 0.425 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.425 * [taylor]: Taking taylor expansion of c in c 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify (/ 1 1) into 1 0.425 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.425 * [taylor]: Taking taylor expansion of d in c 0.425 * [backup-simplify]: Simplify d into d 0.425 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.425 * [backup-simplify]: Simplify (+ 1 0) into 1 0.425 * [taylor]: Taking taylor expansion of 1 in d 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [taylor]: Taking taylor expansion of 0 in c 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [taylor]: Taking taylor expansion of 1 in d 0.425 * [backup-simplify]: Simplify 1 into 1 0.426 * [taylor]: Taking taylor expansion of 1 in d 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [taylor]: Taking taylor expansion of 0 in b 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [taylor]: Taking taylor expansion of 0 in c 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 0.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (+ 0 0) into 0 0.428 * [backup-simplify]: Simplify (+ 0 0) into 0 0.428 * [taylor]: Taking taylor expansion of 0 in c 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [taylor]: Taking taylor expansion of 0 in c 0.428 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (+ 0 (/ 1 d)) into (/ 1 d) 0.429 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.429 * [taylor]: Taking taylor expansion of d in d 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify (/ 1 1) into 1 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [taylor]: Taking taylor expansion of 0 in d 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [taylor]: Taking taylor expansion of 0 in d 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [taylor]: Taking taylor expansion of 0 in d 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 b)) 1)))) (+ (* 1 (* 1 (* (/ 1 (/ 1 c)) (* 1 1)))) (* 1 (* (/ 1 (/ 1 d)) (* 1 (* 1 1)))))) into (+ d (+ b c)) 0.430 * [backup-simplify]: Simplify (+ (/ 1 (- a)) (+ (+ (/ 1 (- b)) (/ 1 (- c))) (/ 1 (- d)))) into (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 0.430 * [approximate]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in (a b c d) around 0 0.430 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.430 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.430 * [taylor]: Taking taylor expansion of (/ 1 b) in d 0.430 * [taylor]: Taking taylor expansion of b in d 0.430 * [backup-simplify]: Simplify b into b 0.430 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.430 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in d 0.430 * [taylor]: Taking taylor expansion of (/ 1 c) in d 0.430 * [taylor]: Taking taylor expansion of c in d 0.430 * [backup-simplify]: Simplify c into c 0.430 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.430 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in d 0.430 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.430 * [taylor]: Taking taylor expansion of d in d 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (/ 1 1) into 1 0.430 * [taylor]: Taking taylor expansion of (/ 1 a) in d 0.430 * [taylor]: Taking taylor expansion of a in d 0.430 * [backup-simplify]: Simplify a into a 0.430 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.431 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.431 * [taylor]: Taking taylor expansion of (/ 1 b) in c 0.431 * [taylor]: Taking taylor expansion of b in c 0.431 * [backup-simplify]: Simplify b into b 0.431 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in c 0.431 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.431 * [taylor]: Taking taylor expansion of c in c 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (/ 1 1) into 1 0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in c 0.431 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.431 * [taylor]: Taking taylor expansion of d in c 0.431 * [backup-simplify]: Simplify d into d 0.431 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.431 * [taylor]: Taking taylor expansion of (/ 1 a) in c 0.431 * [taylor]: Taking taylor expansion of a in c 0.431 * [backup-simplify]: Simplify a into a 0.431 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.431 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.431 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.431 * [taylor]: Taking taylor expansion of b in b 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (/ 1 1) into 1 0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in b 0.431 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.431 * [taylor]: Taking taylor expansion of c in b 0.431 * [backup-simplify]: Simplify c into c 0.431 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in b 0.432 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.432 * [taylor]: Taking taylor expansion of d in b 0.432 * [backup-simplify]: Simplify d into d 0.432 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.432 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.432 * [taylor]: Taking taylor expansion of a in b 0.432 * [backup-simplify]: Simplify a into a 0.432 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.432 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in a 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 0.432 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.432 * [taylor]: Taking taylor expansion of b in a 0.432 * [backup-simplify]: Simplify b into b 0.432 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 0.432 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.432 * [taylor]: Taking taylor expansion of c in a 0.432 * [backup-simplify]: Simplify c into c 0.432 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 0.432 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.432 * [taylor]: Taking taylor expansion of d in a 0.432 * [backup-simplify]: Simplify d into d 0.432 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.432 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.432 * [taylor]: Taking taylor expansion of a in a 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify (/ 1 1) into 1 0.432 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in a 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 0.432 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.432 * [taylor]: Taking taylor expansion of b in a 0.432 * [backup-simplify]: Simplify b into b 0.432 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 0.432 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.432 * [taylor]: Taking taylor expansion of c in a 0.432 * [backup-simplify]: Simplify c into c 0.432 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 0.432 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.432 * [taylor]: Taking taylor expansion of d in a 0.432 * [backup-simplify]: Simplify d into d 0.432 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.433 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.433 * [taylor]: Taking taylor expansion of a in a 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (/ 1 1) into 1 0.433 * [backup-simplify]: Simplify (+ 0 1) into 1 0.433 * [backup-simplify]: Simplify (+ 0 1) into 1 0.433 * [backup-simplify]: Simplify (+ 0 1) into 1 0.434 * [backup-simplify]: Simplify (- 1) into -1 0.434 * [taylor]: Taking taylor expansion of -1 in b 0.434 * [backup-simplify]: Simplify -1 into -1 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 0.434 * [backup-simplify]: Simplify (+ (/ 1 c) (/ 1 d)) into (+ (/ 1 d) (/ 1 c)) 0.434 * [backup-simplify]: Simplify (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) into (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) 0.434 * [backup-simplify]: Simplify (- (+ (/ 1 d) (+ (/ 1 c) (/ 1 b)))) into (- (+ (/ 1 d) (+ (/ 1 c) (/ 1 b)))) 0.434 * [taylor]: Taking taylor expansion of (- (+ (/ 1 d) (+ (/ 1 c) (/ 1 b)))) in b 0.434 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) in b 0.435 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.435 * [taylor]: Taking taylor expansion of d in b 0.435 * [backup-simplify]: Simplify d into d 0.435 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 b)) in b 0.435 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.435 * [taylor]: Taking taylor expansion of c in b 0.435 * [backup-simplify]: Simplify c into c 0.435 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.435 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.435 * [taylor]: Taking taylor expansion of b in b 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (/ 1 1) into 1 0.435 * [backup-simplify]: Simplify (+ 0 1) into 1 0.435 * [backup-simplify]: Simplify (+ 0 1) into 1 0.436 * [backup-simplify]: Simplify (- 1) into -1 0.436 * [taylor]: Taking taylor expansion of -1 in c 0.436 * [backup-simplify]: Simplify -1 into -1 0.436 * [taylor]: Taking taylor expansion of -1 in c 0.436 * [backup-simplify]: Simplify -1 into -1 0.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 0.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 0.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [backup-simplify]: Simplify (- 0) into 0 0.437 * [taylor]: Taking taylor expansion of 0 in b 0.437 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ (/ 1 c) 0) into (/ 1 c) 0.438 * [backup-simplify]: Simplify (+ (/ 1 d) (/ 1 c)) into (+ (/ 1 c) (/ 1 d)) 0.438 * [backup-simplify]: Simplify (- (+ (/ 1 c) (/ 1 d))) into (- (+ (/ 1 c) (/ 1 d))) 0.438 * [taylor]: Taking taylor expansion of (- (+ (/ 1 c) (/ 1 d))) in c 0.438 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 d)) in c 0.438 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.438 * [taylor]: Taking taylor expansion of c in c 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (/ 1 1) into 1 0.438 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.438 * [taylor]: Taking taylor expansion of d in c 0.438 * [backup-simplify]: Simplify d into d 0.438 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.438 * [backup-simplify]: Simplify (+ 1 0) into 1 0.439 * [backup-simplify]: Simplify (- 1) into -1 0.439 * [taylor]: Taking taylor expansion of -1 in d 0.439 * [backup-simplify]: Simplify -1 into -1 0.439 * [taylor]: Taking taylor expansion of 0 in c 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [taylor]: Taking taylor expansion of -1 in d 0.439 * [backup-simplify]: Simplify -1 into -1 0.439 * [taylor]: Taking taylor expansion of -1 in d 0.439 * [backup-simplify]: Simplify -1 into -1 0.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 0.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [backup-simplify]: Simplify (- 0) into 0 0.440 * [taylor]: Taking taylor expansion of 0 in b 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [taylor]: Taking taylor expansion of 0 in c 0.440 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 0.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (+ 0 0) into 0 0.442 * [backup-simplify]: Simplify (+ 0 0) into 0 0.442 * [backup-simplify]: Simplify (- 0) into 0 0.442 * [taylor]: Taking taylor expansion of 0 in c 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [taylor]: Taking taylor expansion of 0 in c 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (+ 0 (/ 1 d)) into (/ 1 d) 0.442 * [backup-simplify]: Simplify (- (/ 1 d)) into (- (/ 1 d)) 0.442 * [taylor]: Taking taylor expansion of (- (/ 1 d)) in d 0.442 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.442 * [taylor]: Taking taylor expansion of d in d 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (/ 1 1) into 1 0.443 * [backup-simplify]: Simplify (- 1) into -1 0.443 * [backup-simplify]: Simplify -1 into -1 0.443 * [taylor]: Taking taylor expansion of 0 in d 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [taylor]: Taking taylor expansion of 0 in d 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [taylor]: Taking taylor expansion of 0 in d 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify -1 into -1 0.443 * [backup-simplify]: Simplify -1 into -1 0.444 * [backup-simplify]: Simplify (+ (* -1 (* 1 (* 1 (* (/ 1 (/ 1 (- b))) 1)))) (+ (* -1 (* 1 (* (/ 1 (/ 1 (- c))) (* 1 1)))) (* -1 (* (/ 1 (/ 1 (- d))) (* 1 (* 1 1)))))) into (+ d (+ b c)) 0.444 * * * [progress]: simplifying candidates 0.444 * [simplify]: Simplifying: (expm1 (+ a (+ (+ b c) d))) (log1p (+ a (+ (+ b c) d))) (* (exp a) (* (* (exp b) (exp c)) (exp d))) (* (exp a) (* (exp (+ b c)) (exp d))) (* (exp a) (exp (+ (+ b c) d))) (log (+ a (+ (+ b c) d))) (exp (+ a (+ (+ b c) d))) (* (cbrt (+ a (+ (+ b c) d))) (cbrt (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3)) (+ (* a a) (- (* (+ (+ b c) d) (+ (+ b c) d)) (* a (+ (+ b c) d)))) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (- a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ b c)) (+ a (+ b c)) (+ d (+ b c)) (+ d (+ b c)) 0.444 * [simplify]: Sending expressions to egg_math: (expm1 (+ h0 (+ (+ h1 h2) h3))) (log1p (+ h0 (+ (+ h1 h2) h3))) (* (exp h0) (* (* (exp h1) (exp h2)) (exp h3))) (* (exp h0) (* (exp (+ h1 h2)) (exp h3))) (* (exp h0) (exp (+ (+ h1 h2) h3))) (log (+ h0 (+ (+ h1 h2) h3))) (exp (+ h0 (+ (+ h1 h2) h3))) (* (cbrt (+ h0 (+ (+ h1 h2) h3))) (cbrt (+ h0 (+ (+ h1 h2) h3)))) (cbrt (+ h0 (+ (+ h1 h2) h3))) (* (* (+ h0 (+ (+ h1 h2) h3)) (+ h0 (+ (+ h1 h2) h3))) (+ h0 (+ (+ h1 h2) h3))) (sqrt (+ h0 (+ (+ h1 h2) h3))) (sqrt (+ h0 (+ (+ h1 h2) h3))) (+ (pow h0 3) (pow (+ (+ h1 h2) h3) 3)) (+ (* h0 h0) (- (* (+ (+ h1 h2) h3) (+ (+ h1 h2) h3)) (* h0 (+ (+ h1 h2) h3)))) (- (* h0 h0) (* (+ (+ h1 h2) h3) (+ (+ h1 h2) h3))) (- h0 (+ (+ h1 h2) h3)) (+ h0 (+ (+ h1 h2) h3)) (+ h0 (+ (+ h1 h2) h3)) (+ h0 (+ (+ h1 h2) h3)) (+ h0 (+ h1 h2)) (+ h0 (+ h1 h2)) (+ h3 (+ h1 h2)) (+ h3 (+ h1 h2)) 0.447 * * [simplify]: iteration 0 : 117 enodes (cost 100 ) 0.450 * * [simplify]: iteration 1 : 484 enodes (cost 92 ) 0.460 * * [simplify]: iteration 2 : 3174 enodes (cost 92 ) 0.506 * * [simplify]: iteration 3 : 5002 enodes (cost 92 ) 0.507 * * * [progress]: adding candidates to table 0.548 * * [progress]: iteration 3 / 4 0.548 * * * [progress]: picking best candidate 0.572 * * * * [pick]: Picked # 0.572 * * * [progress]: localizing error 0.582 * * * [progress]: generating rewritten candidates 0.582 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1 1) 0.646 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.646 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.647 * * * [progress]: generating series expansions 0.647 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1 1) 0.648 * [backup-simplify]: Simplify (+ a (+ (+ b c) d)) into (+ d (+ a (+ b c))) 0.648 * [approximate]: Taking taylor expansion of (+ d (+ a (+ b c))) in (a b c d) around 0 0.648 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.648 * [taylor]: Taking taylor expansion of d in d 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 1 into 1 0.648 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in d 0.648 * [taylor]: Taking taylor expansion of a in d 0.648 * [backup-simplify]: Simplify a into a 0.648 * [taylor]: Taking taylor expansion of (+ b c) in d 0.648 * [taylor]: Taking taylor expansion of b in d 0.648 * [backup-simplify]: Simplify b into b 0.648 * [taylor]: Taking taylor expansion of c in d 0.648 * [backup-simplify]: Simplify c into c 0.648 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 0.648 * [taylor]: Taking taylor expansion of d in c 0.648 * [backup-simplify]: Simplify d into d 0.648 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in c 0.648 * [taylor]: Taking taylor expansion of a in c 0.648 * [backup-simplify]: Simplify a into a 0.648 * [taylor]: Taking taylor expansion of (+ b c) in c 0.648 * [taylor]: Taking taylor expansion of b in c 0.648 * [backup-simplify]: Simplify b into b 0.648 * [taylor]: Taking taylor expansion of c in c 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 1 into 1 0.648 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in b 0.648 * [taylor]: Taking taylor expansion of d in b 0.648 * [backup-simplify]: Simplify d into d 0.648 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in b 0.648 * [taylor]: Taking taylor expansion of a in b 0.648 * [backup-simplify]: Simplify a into a 0.648 * [taylor]: Taking taylor expansion of (+ b c) in b 0.648 * [taylor]: Taking taylor expansion of b in b 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 1 into 1 0.648 * [taylor]: Taking taylor expansion of c in b 0.648 * [backup-simplify]: Simplify c into c 0.648 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in a 0.648 * [taylor]: Taking taylor expansion of d in a 0.648 * [backup-simplify]: Simplify d into d 0.648 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in a 0.648 * [taylor]: Taking taylor expansion of a in a 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 1 into 1 0.648 * [taylor]: Taking taylor expansion of (+ b c) in a 0.648 * [taylor]: Taking taylor expansion of b in a 0.648 * [backup-simplify]: Simplify b into b 0.648 * [taylor]: Taking taylor expansion of c in a 0.648 * [backup-simplify]: Simplify c into c 0.648 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in a 0.648 * [taylor]: Taking taylor expansion of d in a 0.648 * [backup-simplify]: Simplify d into d 0.648 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in a 0.648 * [taylor]: Taking taylor expansion of a in a 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 1 into 1 0.648 * [taylor]: Taking taylor expansion of (+ b c) in a 0.648 * [taylor]: Taking taylor expansion of b in a 0.648 * [backup-simplify]: Simplify b into b 0.648 * [taylor]: Taking taylor expansion of c in a 0.648 * [backup-simplify]: Simplify c into c 0.649 * [backup-simplify]: Simplify (+ b c) into (+ b c) 0.649 * [backup-simplify]: Simplify (+ 0 (+ b c)) into (+ c b) 0.649 * [backup-simplify]: Simplify (+ d (+ c b)) into (+ d (+ b c)) 0.649 * [taylor]: Taking taylor expansion of (+ d (+ b c)) in b 0.649 * [taylor]: Taking taylor expansion of d in b 0.649 * [backup-simplify]: Simplify d into d 0.649 * [taylor]: Taking taylor expansion of (+ b c) in b 0.649 * [taylor]: Taking taylor expansion of b in b 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify 1 into 1 0.649 * [taylor]: Taking taylor expansion of c in b 0.649 * [backup-simplify]: Simplify c into c 0.649 * [backup-simplify]: Simplify (+ 0 c) into c 0.649 * [backup-simplify]: Simplify (+ d c) into (+ d c) 0.649 * [taylor]: Taking taylor expansion of (+ d c) in c 0.649 * [taylor]: Taking taylor expansion of d in c 0.649 * [backup-simplify]: Simplify d into d 0.649 * [taylor]: Taking taylor expansion of c in c 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify 1 into 1 0.649 * [backup-simplify]: Simplify (+ d 0) into d 0.649 * [taylor]: Taking taylor expansion of d in d 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify 1 into 1 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify (+ 0 0) into 0 0.650 * [backup-simplify]: Simplify (+ 1 0) into 1 0.650 * [backup-simplify]: Simplify (+ 0 1) into 1 0.650 * [taylor]: Taking taylor expansion of 1 in b 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [taylor]: Taking taylor expansion of 1 in c 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [taylor]: Taking taylor expansion of 1 in d 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [backup-simplify]: Simplify (+ 1 0) into 1 0.651 * [backup-simplify]: Simplify (+ 0 1) into 1 0.651 * [taylor]: Taking taylor expansion of 1 in c 0.651 * [backup-simplify]: Simplify 1 into 1 0.651 * [taylor]: Taking taylor expansion of 1 in d 0.651 * [backup-simplify]: Simplify 1 into 1 0.651 * [backup-simplify]: Simplify 1 into 1 0.651 * [backup-simplify]: Simplify (+ 0 1) into 1 0.651 * [taylor]: Taking taylor expansion of 1 in d 0.651 * [backup-simplify]: Simplify 1 into 1 0.651 * [backup-simplify]: Simplify 1 into 1 0.651 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* c (* 1 1)))) (+ (* 1 (* 1 (* 1 (* b 1)))) (* 1 (* 1 (* 1 (* 1 a)))))) into (+ a (+ b c)) 0.651 * [backup-simplify]: Simplify (+ (/ 1 a) (+ (+ (/ 1 b) (/ 1 c)) (/ 1 d))) into (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) 0.651 * [approximate]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in (a b c d) around 0 0.651 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.652 * [taylor]: Taking taylor expansion of (/ 1 b) in d 0.652 * [taylor]: Taking taylor expansion of b in d 0.652 * [backup-simplify]: Simplify b into b 0.652 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.652 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in d 0.652 * [taylor]: Taking taylor expansion of (/ 1 c) in d 0.652 * [taylor]: Taking taylor expansion of c in d 0.652 * [backup-simplify]: Simplify c into c 0.652 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.652 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in d 0.652 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.652 * [taylor]: Taking taylor expansion of d in d 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 1 into 1 0.652 * [backup-simplify]: Simplify (/ 1 1) into 1 0.652 * [taylor]: Taking taylor expansion of (/ 1 a) in d 0.652 * [taylor]: Taking taylor expansion of a in d 0.652 * [backup-simplify]: Simplify a into a 0.652 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.652 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.652 * [taylor]: Taking taylor expansion of (/ 1 b) in c 0.652 * [taylor]: Taking taylor expansion of b in c 0.652 * [backup-simplify]: Simplify b into b 0.652 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.652 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in c 0.652 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.652 * [taylor]: Taking taylor expansion of c in c 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 1 into 1 0.652 * [backup-simplify]: Simplify (/ 1 1) into 1 0.652 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in c 0.652 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.652 * [taylor]: Taking taylor expansion of d in c 0.653 * [backup-simplify]: Simplify d into d 0.653 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.653 * [taylor]: Taking taylor expansion of (/ 1 a) in c 0.653 * [taylor]: Taking taylor expansion of a in c 0.653 * [backup-simplify]: Simplify a into a 0.653 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.653 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.653 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.653 * [taylor]: Taking taylor expansion of b in b 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify 1 into 1 0.653 * [backup-simplify]: Simplify (/ 1 1) into 1 0.653 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in b 0.653 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.653 * [taylor]: Taking taylor expansion of c in b 0.653 * [backup-simplify]: Simplify c into c 0.653 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.653 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in b 0.653 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.653 * [taylor]: Taking taylor expansion of d in b 0.653 * [backup-simplify]: Simplify d into d 0.653 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.653 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.653 * [taylor]: Taking taylor expansion of a in b 0.653 * [backup-simplify]: Simplify a into a 0.653 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.653 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 0.653 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.653 * [taylor]: Taking taylor expansion of b in a 0.653 * [backup-simplify]: Simplify b into b 0.653 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.653 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 0.653 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.653 * [taylor]: Taking taylor expansion of c in a 0.653 * [backup-simplify]: Simplify c into c 0.653 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.653 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 0.653 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.653 * [taylor]: Taking taylor expansion of d in a 0.653 * [backup-simplify]: Simplify d into d 0.654 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.654 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.654 * [taylor]: Taking taylor expansion of a in a 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.654 * [backup-simplify]: Simplify (/ 1 1) into 1 0.654 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 0.654 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.654 * [taylor]: Taking taylor expansion of b in a 0.654 * [backup-simplify]: Simplify b into b 0.654 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.654 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 0.654 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.654 * [taylor]: Taking taylor expansion of c in a 0.654 * [backup-simplify]: Simplify c into c 0.654 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.654 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 0.654 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.654 * [taylor]: Taking taylor expansion of d in a 0.654 * [backup-simplify]: Simplify d into d 0.654 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.654 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.654 * [taylor]: Taking taylor expansion of a in a 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.654 * [backup-simplify]: Simplify (/ 1 1) into 1 0.655 * [backup-simplify]: Simplify (+ 0 1) into 1 0.655 * [backup-simplify]: Simplify (+ 0 1) into 1 0.655 * [backup-simplify]: Simplify (+ 0 1) into 1 0.655 * [taylor]: Taking taylor expansion of 1 in b 0.655 * [backup-simplify]: Simplify 1 into 1 0.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.656 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 0.656 * [backup-simplify]: Simplify (+ (/ 1 c) (/ 1 d)) into (+ (/ 1 d) (/ 1 c)) 0.656 * [backup-simplify]: Simplify (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) into (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) in b 0.656 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.656 * [taylor]: Taking taylor expansion of d in b 0.656 * [backup-simplify]: Simplify d into d 0.656 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 b)) in b 0.656 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.656 * [taylor]: Taking taylor expansion of c in b 0.656 * [backup-simplify]: Simplify c into c 0.656 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.656 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.656 * [taylor]: Taking taylor expansion of b in b 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify 1 into 1 0.656 * [backup-simplify]: Simplify (/ 1 1) into 1 0.656 * [backup-simplify]: Simplify (+ 0 1) into 1 0.657 * [backup-simplify]: Simplify (+ 0 1) into 1 0.657 * [taylor]: Taking taylor expansion of 1 in c 0.657 * [backup-simplify]: Simplify 1 into 1 0.657 * [taylor]: Taking taylor expansion of 1 in c 0.657 * [backup-simplify]: Simplify 1 into 1 0.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 0.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 0.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 0.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.658 * [backup-simplify]: Simplify (+ 0 0) into 0 0.658 * [backup-simplify]: Simplify (+ 0 0) into 0 0.658 * [backup-simplify]: Simplify (+ 0 0) into 0 0.658 * [taylor]: Taking taylor expansion of 0 in b 0.658 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.659 * [backup-simplify]: Simplify (+ (/ 1 c) 0) into (/ 1 c) 0.659 * [backup-simplify]: Simplify (+ (/ 1 d) (/ 1 c)) into (+ (/ 1 c) (/ 1 d)) 0.659 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 d)) in c 0.659 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.659 * [taylor]: Taking taylor expansion of c in c 0.659 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify 1 into 1 0.659 * [backup-simplify]: Simplify (/ 1 1) into 1 0.659 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.659 * [taylor]: Taking taylor expansion of d in c 0.659 * [backup-simplify]: Simplify d into d 0.659 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.660 * [backup-simplify]: Simplify (+ 1 0) into 1 0.660 * [taylor]: Taking taylor expansion of 1 in d 0.660 * [backup-simplify]: Simplify 1 into 1 0.660 * [taylor]: Taking taylor expansion of 0 in c 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [taylor]: Taking taylor expansion of 1 in d 0.660 * [backup-simplify]: Simplify 1 into 1 0.660 * [taylor]: Taking taylor expansion of 1 in d 0.660 * [backup-simplify]: Simplify 1 into 1 0.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 0.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 0.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.661 * [backup-simplify]: Simplify (+ 0 0) into 0 0.661 * [backup-simplify]: Simplify (+ 0 0) into 0 0.661 * [backup-simplify]: Simplify (+ 0 0) into 0 0.661 * [taylor]: Taking taylor expansion of 0 in b 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [taylor]: Taking taylor expansion of 0 in c 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 0.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 0.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.662 * [backup-simplify]: Simplify (+ 0 0) into 0 0.662 * [backup-simplify]: Simplify (+ 0 0) into 0 0.662 * [taylor]: Taking taylor expansion of 0 in c 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [taylor]: Taking taylor expansion of 0 in c 0.662 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.663 * [backup-simplify]: Simplify (+ 0 (/ 1 d)) into (/ 1 d) 0.663 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.663 * [taylor]: Taking taylor expansion of d in d 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify 1 into 1 0.663 * [backup-simplify]: Simplify (/ 1 1) into 1 0.663 * [backup-simplify]: Simplify 1 into 1 0.663 * [taylor]: Taking taylor expansion of 0 in d 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [taylor]: Taking taylor expansion of 0 in d 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [taylor]: Taking taylor expansion of 0 in d 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify 1 into 1 0.663 * [backup-simplify]: Simplify 1 into 1 0.664 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 b)) 1)))) (+ (* 1 (* 1 (* (/ 1 (/ 1 c)) (* 1 1)))) (* 1 (* (/ 1 (/ 1 d)) (* 1 (* 1 1)))))) into (+ d (+ b c)) 0.664 * [backup-simplify]: Simplify (+ (/ 1 (- a)) (+ (+ (/ 1 (- b)) (/ 1 (- c))) (/ 1 (- d)))) into (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 0.664 * [approximate]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in (a b c d) around 0 0.664 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.664 * [taylor]: Taking taylor expansion of (/ 1 b) in d 0.664 * [taylor]: Taking taylor expansion of b in d 0.664 * [backup-simplify]: Simplify b into b 0.664 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in d 0.664 * [taylor]: Taking taylor expansion of (/ 1 c) in d 0.664 * [taylor]: Taking taylor expansion of c in d 0.664 * [backup-simplify]: Simplify c into c 0.664 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in d 0.664 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.664 * [taylor]: Taking taylor expansion of d in d 0.664 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify 1 into 1 0.665 * [backup-simplify]: Simplify (/ 1 1) into 1 0.665 * [taylor]: Taking taylor expansion of (/ 1 a) in d 0.665 * [taylor]: Taking taylor expansion of a in d 0.665 * [backup-simplify]: Simplify a into a 0.665 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.665 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.665 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.665 * [taylor]: Taking taylor expansion of (/ 1 b) in c 0.665 * [taylor]: Taking taylor expansion of b in c 0.665 * [backup-simplify]: Simplify b into b 0.665 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.665 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in c 0.665 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.665 * [taylor]: Taking taylor expansion of c in c 0.665 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify 1 into 1 0.665 * [backup-simplify]: Simplify (/ 1 1) into 1 0.665 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in c 0.665 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.665 * [taylor]: Taking taylor expansion of d in c 0.665 * [backup-simplify]: Simplify d into d 0.665 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.665 * [taylor]: Taking taylor expansion of (/ 1 a) in c 0.665 * [taylor]: Taking taylor expansion of a in c 0.665 * [backup-simplify]: Simplify a into a 0.665 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.665 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.665 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.665 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.665 * [taylor]: Taking taylor expansion of b in b 0.665 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify 1 into 1 0.666 * [backup-simplify]: Simplify (/ 1 1) into 1 0.666 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in b 0.666 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.666 * [taylor]: Taking taylor expansion of c in b 0.666 * [backup-simplify]: Simplify c into c 0.666 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.666 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in b 0.666 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.666 * [taylor]: Taking taylor expansion of d in b 0.666 * [backup-simplify]: Simplify d into d 0.666 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.666 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.666 * [taylor]: Taking taylor expansion of a in b 0.666 * [backup-simplify]: Simplify a into a 0.666 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.666 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in a 0.666 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 0.666 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.666 * [taylor]: Taking taylor expansion of b in a 0.666 * [backup-simplify]: Simplify b into b 0.666 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.666 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 0.666 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.666 * [taylor]: Taking taylor expansion of c in a 0.666 * [backup-simplify]: Simplify c into c 0.666 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.666 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 0.666 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.666 * [taylor]: Taking taylor expansion of d in a 0.666 * [backup-simplify]: Simplify d into d 0.666 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.666 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.666 * [taylor]: Taking taylor expansion of a in a 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify 1 into 1 0.666 * [backup-simplify]: Simplify (/ 1 1) into 1 0.666 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in a 0.666 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 0.667 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.667 * [taylor]: Taking taylor expansion of b in a 0.667 * [backup-simplify]: Simplify b into b 0.667 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.667 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 0.667 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.667 * [taylor]: Taking taylor expansion of c in a 0.667 * [backup-simplify]: Simplify c into c 0.667 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.667 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 0.667 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.667 * [taylor]: Taking taylor expansion of d in a 0.667 * [backup-simplify]: Simplify d into d 0.667 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.667 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.667 * [taylor]: Taking taylor expansion of a in a 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify 1 into 1 0.667 * [backup-simplify]: Simplify (/ 1 1) into 1 0.667 * [backup-simplify]: Simplify (+ 0 1) into 1 0.668 * [backup-simplify]: Simplify (+ 0 1) into 1 0.668 * [backup-simplify]: Simplify (+ 0 1) into 1 0.668 * [backup-simplify]: Simplify (- 1) into -1 0.668 * [taylor]: Taking taylor expansion of -1 in b 0.668 * [backup-simplify]: Simplify -1 into -1 0.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.669 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 0.669 * [backup-simplify]: Simplify (+ (/ 1 c) (/ 1 d)) into (+ (/ 1 d) (/ 1 c)) 0.669 * [backup-simplify]: Simplify (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) into (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) 0.669 * [backup-simplify]: Simplify (- (+ (/ 1 d) (+ (/ 1 c) (/ 1 b)))) into (- (+ (/ 1 d) (+ (/ 1 c) (/ 1 b)))) 0.669 * [taylor]: Taking taylor expansion of (- (+ (/ 1 d) (+ (/ 1 c) (/ 1 b)))) in b 0.669 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) in b 0.669 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.669 * [taylor]: Taking taylor expansion of d in b 0.669 * [backup-simplify]: Simplify d into d 0.669 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.669 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 b)) in b 0.669 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.669 * [taylor]: Taking taylor expansion of c in b 0.669 * [backup-simplify]: Simplify c into c 0.669 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.669 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.669 * [taylor]: Taking taylor expansion of b in b 0.669 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify 1 into 1 0.669 * [backup-simplify]: Simplify (/ 1 1) into 1 0.670 * [backup-simplify]: Simplify (+ 0 1) into 1 0.670 * [backup-simplify]: Simplify (+ 0 1) into 1 0.670 * [backup-simplify]: Simplify (- 1) into -1 0.670 * [taylor]: Taking taylor expansion of -1 in c 0.670 * [backup-simplify]: Simplify -1 into -1 0.670 * [taylor]: Taking taylor expansion of -1 in c 0.670 * [backup-simplify]: Simplify -1 into -1 0.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 0.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 0.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 0.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.671 * [backup-simplify]: Simplify (+ 0 0) into 0 0.671 * [backup-simplify]: Simplify (+ 0 0) into 0 0.671 * [backup-simplify]: Simplify (+ 0 0) into 0 0.672 * [backup-simplify]: Simplify (- 0) into 0 0.672 * [taylor]: Taking taylor expansion of 0 in b 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.672 * [backup-simplify]: Simplify (+ (/ 1 c) 0) into (/ 1 c) 0.672 * [backup-simplify]: Simplify (+ (/ 1 d) (/ 1 c)) into (+ (/ 1 c) (/ 1 d)) 0.672 * [backup-simplify]: Simplify (- (+ (/ 1 c) (/ 1 d))) into (- (+ (/ 1 c) (/ 1 d))) 0.672 * [taylor]: Taking taylor expansion of (- (+ (/ 1 c) (/ 1 d))) in c 0.672 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 d)) in c 0.672 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.672 * [taylor]: Taking taylor expansion of c in c 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify 1 into 1 0.673 * [backup-simplify]: Simplify (/ 1 1) into 1 0.673 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.673 * [taylor]: Taking taylor expansion of d in c 0.673 * [backup-simplify]: Simplify d into d 0.673 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.673 * [backup-simplify]: Simplify (+ 1 0) into 1 0.673 * [backup-simplify]: Simplify (- 1) into -1 0.673 * [taylor]: Taking taylor expansion of -1 in d 0.673 * [backup-simplify]: Simplify -1 into -1 0.673 * [taylor]: Taking taylor expansion of 0 in c 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [taylor]: Taking taylor expansion of -1 in d 0.673 * [backup-simplify]: Simplify -1 into -1 0.673 * [taylor]: Taking taylor expansion of -1 in d 0.673 * [backup-simplify]: Simplify -1 into -1 0.673 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 0.673 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 0.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.674 * [backup-simplify]: Simplify (+ 0 0) into 0 0.674 * [backup-simplify]: Simplify (+ 0 0) into 0 0.675 * [backup-simplify]: Simplify (+ 0 0) into 0 0.675 * [backup-simplify]: Simplify (- 0) into 0 0.675 * [taylor]: Taking taylor expansion of 0 in b 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [taylor]: Taking taylor expansion of 0 in c 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 0.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 0.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.676 * [backup-simplify]: Simplify (+ 0 0) into 0 0.676 * [backup-simplify]: Simplify (+ 0 0) into 0 0.676 * [backup-simplify]: Simplify (- 0) into 0 0.676 * [taylor]: Taking taylor expansion of 0 in c 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [taylor]: Taking taylor expansion of 0 in c 0.676 * [backup-simplify]: Simplify 0 into 0 0.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.677 * [backup-simplify]: Simplify (+ 0 (/ 1 d)) into (/ 1 d) 0.677 * [backup-simplify]: Simplify (- (/ 1 d)) into (- (/ 1 d)) 0.677 * [taylor]: Taking taylor expansion of (- (/ 1 d)) in d 0.677 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.677 * [taylor]: Taking taylor expansion of d in d 0.677 * [backup-simplify]: Simplify 0 into 0 0.677 * [backup-simplify]: Simplify 1 into 1 0.677 * [backup-simplify]: Simplify (/ 1 1) into 1 0.677 * [backup-simplify]: Simplify (- 1) into -1 0.677 * [backup-simplify]: Simplify -1 into -1 0.677 * [taylor]: Taking taylor expansion of 0 in d 0.677 * [backup-simplify]: Simplify 0 into 0 0.677 * [taylor]: Taking taylor expansion of 0 in d 0.677 * [backup-simplify]: Simplify 0 into 0 0.677 * [taylor]: Taking taylor expansion of 0 in d 0.677 * [backup-simplify]: Simplify 0 into 0 0.677 * [backup-simplify]: Simplify -1 into -1 0.677 * [backup-simplify]: Simplify -1 into -1 0.678 * [backup-simplify]: Simplify (+ (* -1 (* 1 (* 1 (* (/ 1 (/ 1 (- b))) 1)))) (+ (* -1 (* 1 (* (/ 1 (/ 1 (- c))) (* 1 1)))) (* -1 (* (/ 1 (/ 1 (- d))) (* 1 (* 1 1)))))) into (+ d (+ b c)) 0.678 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.678 * [backup-simplify]: Simplify (expm1 (+ a (+ (+ b c) d))) into (expm1 (+ d (+ a (+ b c)))) 0.678 * [approximate]: Taking taylor expansion of (expm1 (+ d (+ a (+ b c)))) in (a b c d) around 0 0.678 * [taylor]: Taking taylor expansion of (expm1 (+ d (+ a (+ b c)))) in d 0.678 * [taylor]: Rewrote expression to (- (exp (+ d (+ a (+ b c)))) 1) 0.678 * [taylor]: Taking taylor expansion of (exp (+ d (+ a (+ b c)))) in d 0.678 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.679 * [taylor]: Taking taylor expansion of d in d 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 1 into 1 0.679 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in d 0.679 * [taylor]: Taking taylor expansion of a in d 0.679 * [backup-simplify]: Simplify a into a 0.679 * [taylor]: Taking taylor expansion of (+ b c) in d 0.679 * [taylor]: Taking taylor expansion of b in d 0.679 * [backup-simplify]: Simplify b into b 0.679 * [taylor]: Taking taylor expansion of c in d 0.679 * [backup-simplify]: Simplify c into c 0.679 * [backup-simplify]: Simplify (+ b c) into (+ b c) 0.679 * [backup-simplify]: Simplify (+ a (+ b c)) into (+ a (+ b c)) 0.679 * [backup-simplify]: Simplify (+ 0 (+ a (+ b c))) into (+ a (+ c b)) 0.679 * [backup-simplify]: Simplify (exp (+ a (+ c b))) into (exp (+ a (+ b c))) 0.679 * [taylor]: Taking taylor expansion of 1 in d 0.679 * [backup-simplify]: Simplify 1 into 1 0.679 * [taylor]: Taking taylor expansion of (expm1 (+ d (+ a (+ b c)))) in c 0.679 * [taylor]: Rewrote expression to (- (exp (+ d (+ a (+ b c)))) 1) 0.679 * [taylor]: Taking taylor expansion of (exp (+ d (+ a (+ b c)))) in c 0.679 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 0.679 * [taylor]: Taking taylor expansion of d in c 0.679 * [backup-simplify]: Simplify d into d 0.679 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in c 0.679 * [taylor]: Taking taylor expansion of a in c 0.679 * [backup-simplify]: Simplify a into a 0.679 * [taylor]: Taking taylor expansion of (+ b c) in c 0.679 * [taylor]: Taking taylor expansion of b in c 0.679 * [backup-simplify]: Simplify b into b 0.679 * [taylor]: Taking taylor expansion of c in c 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 1 into 1 0.679 * [backup-simplify]: Simplify (+ b 0) into b 0.679 * [backup-simplify]: Simplify (+ a b) into (+ a b) 0.679 * [backup-simplify]: Simplify (+ d (+ a b)) into (+ d (+ a b)) 0.679 * [backup-simplify]: Simplify (exp (+ d (+ a b))) into (exp (+ d (+ a b))) 0.679 * [taylor]: Taking taylor expansion of 1 in c 0.679 * [backup-simplify]: Simplify 1 into 1 0.679 * [taylor]: Taking taylor expansion of (expm1 (+ d (+ a (+ b c)))) in b 0.679 * [taylor]: Rewrote expression to (- (exp (+ d (+ a (+ b c)))) 1) 0.679 * [taylor]: Taking taylor expansion of (exp (+ d (+ a (+ b c)))) in b 0.679 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in b 0.679 * [taylor]: Taking taylor expansion of d in b 0.679 * [backup-simplify]: Simplify d into d 0.679 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in b 0.679 * [taylor]: Taking taylor expansion of a in b 0.679 * [backup-simplify]: Simplify a into a 0.679 * [taylor]: Taking taylor expansion of (+ b c) in b 0.680 * [taylor]: Taking taylor expansion of b in b 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 1 into 1 0.680 * [taylor]: Taking taylor expansion of c in b 0.680 * [backup-simplify]: Simplify c into c 0.680 * [backup-simplify]: Simplify (+ 0 c) into c 0.680 * [backup-simplify]: Simplify (+ a c) into (+ a c) 0.680 * [backup-simplify]: Simplify (+ d (+ a c)) into (+ d (+ a c)) 0.680 * [backup-simplify]: Simplify (exp (+ d (+ a c))) into (exp (+ d (+ a c))) 0.680 * [taylor]: Taking taylor expansion of 1 in b 0.680 * [backup-simplify]: Simplify 1 into 1 0.680 * [taylor]: Taking taylor expansion of (expm1 (+ d (+ a (+ b c)))) in a 0.680 * [taylor]: Rewrote expression to (- (exp (+ d (+ a (+ b c)))) 1) 0.680 * [taylor]: Taking taylor expansion of (exp (+ d (+ a (+ b c)))) in a 0.680 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in a 0.680 * [taylor]: Taking taylor expansion of d in a 0.680 * [backup-simplify]: Simplify d into d 0.680 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in a 0.680 * [taylor]: Taking taylor expansion of a in a 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 1 into 1 0.680 * [taylor]: Taking taylor expansion of (+ b c) in a 0.680 * [taylor]: Taking taylor expansion of b in a 0.680 * [backup-simplify]: Simplify b into b 0.680 * [taylor]: Taking taylor expansion of c in a 0.680 * [backup-simplify]: Simplify c into c 0.680 * [backup-simplify]: Simplify (+ b c) into (+ b c) 0.680 * [backup-simplify]: Simplify (+ 0 (+ b c)) into (+ c b) 0.680 * [backup-simplify]: Simplify (+ d (+ c b)) into (+ d (+ b c)) 0.680 * [backup-simplify]: Simplify (exp (+ d (+ b c))) into (exp (+ d (+ b c))) 0.680 * [taylor]: Taking taylor expansion of 1 in a 0.680 * [backup-simplify]: Simplify 1 into 1 0.680 * [taylor]: Taking taylor expansion of (expm1 (+ d (+ a (+ b c)))) in a 0.680 * [taylor]: Rewrote expression to (- (exp (+ d (+ a (+ b c)))) 1) 0.680 * [taylor]: Taking taylor expansion of (exp (+ d (+ a (+ b c)))) in a 0.680 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in a 0.680 * [taylor]: Taking taylor expansion of d in a 0.680 * [backup-simplify]: Simplify d into d 0.680 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in a 0.680 * [taylor]: Taking taylor expansion of a in a 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 1 into 1 0.680 * [taylor]: Taking taylor expansion of (+ b c) in a 0.680 * [taylor]: Taking taylor expansion of b in a 0.680 * [backup-simplify]: Simplify b into b 0.680 * [taylor]: Taking taylor expansion of c in a 0.680 * [backup-simplify]: Simplify c into c 0.680 * [backup-simplify]: Simplify (+ b c) into (+ b c) 0.681 * [backup-simplify]: Simplify (+ 0 (+ b c)) into (+ c b) 0.681 * [backup-simplify]: Simplify (+ d (+ c b)) into (+ d (+ b c)) 0.681 * [backup-simplify]: Simplify (exp (+ d (+ b c))) into (exp (+ d (+ b c))) 0.681 * [taylor]: Taking taylor expansion of 1 in a 0.681 * [backup-simplify]: Simplify 1 into 1 0.681 * [backup-simplify]: Simplify (- 1) into -1 0.681 * [backup-simplify]: Simplify (+ (exp (+ d (+ b c))) -1) into (- (exp (+ d (+ b c))) 1) 0.681 * [taylor]: Taking taylor expansion of (- (exp (+ d (+ b c))) 1) in b 0.681 * [taylor]: Taking taylor expansion of (exp (+ d (+ b c))) in b 0.681 * [taylor]: Taking taylor expansion of (+ d (+ b c)) in b 0.681 * [taylor]: Taking taylor expansion of d in b 0.681 * [backup-simplify]: Simplify d into d 0.681 * [taylor]: Taking taylor expansion of (+ b c) in b 0.681 * [taylor]: Taking taylor expansion of b in b 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify 1 into 1 0.681 * [taylor]: Taking taylor expansion of c in b 0.681 * [backup-simplify]: Simplify c into c 0.681 * [backup-simplify]: Simplify (+ 0 c) into c 0.681 * [backup-simplify]: Simplify (+ d c) into (+ d c) 0.681 * [backup-simplify]: Simplify (exp (+ d c)) into (exp (+ d c)) 0.681 * [taylor]: Taking taylor expansion of 1 in b 0.681 * [backup-simplify]: Simplify 1 into 1 0.681 * [backup-simplify]: Simplify (- 1) into -1 0.682 * [backup-simplify]: Simplify (+ (exp (+ d c)) -1) into (- (exp (+ d c)) 1) 0.682 * [taylor]: Taking taylor expansion of (- (exp (+ d c)) 1) in c 0.682 * [taylor]: Taking taylor expansion of (exp (+ d c)) in c 0.682 * [taylor]: Taking taylor expansion of (+ d c) in c 0.682 * [taylor]: Taking taylor expansion of d in c 0.682 * [backup-simplify]: Simplify d into d 0.682 * [taylor]: Taking taylor expansion of c in c 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [backup-simplify]: Simplify (+ d 0) into d 0.682 * [backup-simplify]: Simplify (exp d) into (exp d) 0.682 * [taylor]: Taking taylor expansion of 1 in c 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [backup-simplify]: Simplify (- 1) into -1 0.682 * [backup-simplify]: Simplify (+ (exp d) -1) into (- (exp d) 1) 0.682 * [taylor]: Taking taylor expansion of (- (exp d) 1) in d 0.682 * [taylor]: Taking taylor expansion of (exp d) in d 0.682 * [taylor]: Taking taylor expansion of d in d 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [backup-simplify]: Simplify (exp 0) into 1 0.682 * [taylor]: Taking taylor expansion of 1 in d 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [backup-simplify]: Simplify (- 1) into -1 0.683 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify (+ 0 0) into 0 0.683 * [backup-simplify]: Simplify (+ 1 0) into 1 0.683 * [backup-simplify]: Simplify (+ 0 1) into 1 0.684 * [backup-simplify]: Simplify (* (exp (+ d (+ b c))) (+ (* (/ (pow 1 1) 1)))) into (exp (+ d (+ b c))) 0.684 * [backup-simplify]: Simplify (- 0) into 0 0.684 * [backup-simplify]: Simplify (+ (exp (+ d (+ b c))) 0) into (exp (+ d (+ b c))) 0.684 * [taylor]: Taking taylor expansion of (exp (+ d (+ b c))) in b 0.684 * [taylor]: Taking taylor expansion of (+ d (+ b c)) in b 0.684 * [taylor]: Taking taylor expansion of d in b 0.684 * [backup-simplify]: Simplify d into d 0.684 * [taylor]: Taking taylor expansion of (+ b c) in b 0.684 * [taylor]: Taking taylor expansion of b in b 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify 1 into 1 0.684 * [taylor]: Taking taylor expansion of c in b 0.684 * [backup-simplify]: Simplify c into c 0.684 * [backup-simplify]: Simplify (+ 0 c) into c 0.684 * [backup-simplify]: Simplify (+ d c) into (+ d c) 0.684 * [backup-simplify]: Simplify (exp (+ d c)) into (exp (+ d c)) 0.684 * [taylor]: Taking taylor expansion of (exp (+ d c)) in c 0.684 * [taylor]: Taking taylor expansion of (+ d c) in c 0.684 * [taylor]: Taking taylor expansion of d in c 0.684 * [backup-simplify]: Simplify d into d 0.684 * [taylor]: Taking taylor expansion of c in c 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify 1 into 1 0.684 * [backup-simplify]: Simplify (+ d 0) into d 0.684 * [backup-simplify]: Simplify (exp d) into (exp d) 0.684 * [taylor]: Taking taylor expansion of (exp d) in d 0.685 * [taylor]: Taking taylor expansion of d in d 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 1 into 1 0.685 * [backup-simplify]: Simplify (exp 0) into 1 0.685 * [backup-simplify]: Simplify 1 into 1 0.685 * [backup-simplify]: Simplify (+ 1 0) into 1 0.685 * [backup-simplify]: Simplify (+ 0 1) into 1 0.686 * [backup-simplify]: Simplify (* (exp (+ d c)) (+ (* (/ (pow 1 1) 1)))) into (exp (+ d c)) 0.686 * [backup-simplify]: Simplify (- 0) into 0 0.686 * [backup-simplify]: Simplify (+ (exp (+ d c)) 0) into (exp (+ d c)) 0.686 * [taylor]: Taking taylor expansion of (exp (+ d c)) in c 0.686 * [taylor]: Taking taylor expansion of (+ d c) in c 0.686 * [taylor]: Taking taylor expansion of d in c 0.686 * [backup-simplify]: Simplify d into d 0.686 * [taylor]: Taking taylor expansion of c in c 0.686 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify 1 into 1 0.686 * [backup-simplify]: Simplify (+ d 0) into d 0.686 * [backup-simplify]: Simplify (exp d) into (exp d) 0.686 * [taylor]: Taking taylor expansion of (exp d) in d 0.686 * [taylor]: Taking taylor expansion of d in d 0.686 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify 1 into 1 0.686 * [backup-simplify]: Simplify (exp 0) into 1 0.686 * [backup-simplify]: Simplify 1 into 1 0.686 * [backup-simplify]: Simplify (+ 0 1) into 1 0.687 * [backup-simplify]: Simplify (* (exp d) (+ (* (/ (pow 1 1) 1)))) into (exp d) 0.687 * [backup-simplify]: Simplify (- 0) into 0 0.687 * [backup-simplify]: Simplify (+ (exp d) 0) into (exp d) 0.687 * [taylor]: Taking taylor expansion of (exp d) in d 0.687 * [taylor]: Taking taylor expansion of d in d 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 1 into 1 0.687 * [backup-simplify]: Simplify (exp 0) into 1 0.687 * [backup-simplify]: Simplify 1 into 1 0.687 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* c (* 1 1)))) (+ (* 1 (* 1 (* 1 (* b 1)))) (* 1 (* 1 (* 1 (* 1 a)))))) into (+ a (+ b c)) 0.688 * [backup-simplify]: Simplify (expm1 (+ (/ 1 a) (+ (+ (/ 1 b) (/ 1 c)) (/ 1 d)))) into (expm1 (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 0.688 * [approximate]: Taking taylor expansion of (expm1 (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in (a b c d) around 0 0.688 * [taylor]: Taking taylor expansion of (expm1 (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.688 * [taylor]: Rewrote expression to (- (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 1) 0.688 * [taylor]: Taking taylor expansion of (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.688 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.688 * [taylor]: Taking taylor expansion of (/ 1 b) in d 0.688 * [taylor]: Taking taylor expansion of b in d 0.688 * [backup-simplify]: Simplify b into b 0.688 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.688 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in d 0.688 * [taylor]: Taking taylor expansion of (/ 1 c) in d 0.688 * [taylor]: Taking taylor expansion of c in d 0.688 * [backup-simplify]: Simplify c into c 0.688 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.688 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in d 0.688 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.688 * [taylor]: Taking taylor expansion of d in d 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify 1 into 1 0.688 * [backup-simplify]: Simplify (/ 1 1) into 1 0.688 * [taylor]: Taking taylor expansion of (/ 1 a) in d 0.688 * [taylor]: Taking taylor expansion of a in d 0.688 * [backup-simplify]: Simplify a into a 0.688 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.689 * [backup-simplify]: Simplify (+ 1 0) into 1 0.689 * [backup-simplify]: Simplify (+ 0 1) into 1 0.689 * [backup-simplify]: Simplify (+ 0 1) into 1 0.689 * [backup-simplify]: Simplify (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) into (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) 0.689 * [taylor]: Taking taylor expansion of 1 in d 0.689 * [backup-simplify]: Simplify 1 into 1 0.689 * [taylor]: Taking taylor expansion of (expm1 (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.690 * [taylor]: Rewrote expression to (- (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 1) 0.690 * [taylor]: Taking taylor expansion of (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.690 * [taylor]: Taking taylor expansion of (/ 1 b) in c 0.690 * [taylor]: Taking taylor expansion of b in c 0.690 * [backup-simplify]: Simplify b into b 0.690 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in c 0.690 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.690 * [taylor]: Taking taylor expansion of c in c 0.690 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify 1 into 1 0.690 * [backup-simplify]: Simplify (/ 1 1) into 1 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in c 0.690 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.690 * [taylor]: Taking taylor expansion of d in c 0.690 * [backup-simplify]: Simplify d into d 0.690 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.690 * [taylor]: Taking taylor expansion of (/ 1 a) in c 0.690 * [taylor]: Taking taylor expansion of a in c 0.690 * [backup-simplify]: Simplify a into a 0.690 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.690 * [backup-simplify]: Simplify (+ 1 0) into 1 0.691 * [backup-simplify]: Simplify (+ 0 1) into 1 0.691 * [backup-simplify]: Simplify (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) into (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) 0.691 * [taylor]: Taking taylor expansion of 1 in c 0.691 * [backup-simplify]: Simplify 1 into 1 0.691 * [taylor]: Taking taylor expansion of (expm1 (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.691 * [taylor]: Rewrote expression to (- (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 1) 0.691 * [taylor]: Taking taylor expansion of (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.691 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.691 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.691 * [taylor]: Taking taylor expansion of b in b 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify 1 into 1 0.691 * [backup-simplify]: Simplify (/ 1 1) into 1 0.691 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in b 0.691 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.691 * [taylor]: Taking taylor expansion of c in b 0.691 * [backup-simplify]: Simplify c into c 0.691 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.691 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in b 0.691 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.691 * [taylor]: Taking taylor expansion of d in b 0.691 * [backup-simplify]: Simplify d into d 0.691 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.691 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.691 * [taylor]: Taking taylor expansion of a in b 0.691 * [backup-simplify]: Simplify a into a 0.691 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.692 * [backup-simplify]: Simplify (+ 1 0) into 1 0.692 * [backup-simplify]: Simplify (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) into (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) 0.692 * [taylor]: Taking taylor expansion of 1 in b 0.692 * [backup-simplify]: Simplify 1 into 1 0.692 * [taylor]: Taking taylor expansion of (expm1 (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in a 0.692 * [taylor]: Rewrote expression to (- (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 1) 0.692 * [taylor]: Taking taylor expansion of (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in a 0.692 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 0.692 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.692 * [taylor]: Taking taylor expansion of b in a 0.692 * [backup-simplify]: Simplify b into b 0.692 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.692 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 0.692 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.692 * [taylor]: Taking taylor expansion of c in a 0.692 * [backup-simplify]: Simplify c into c 0.692 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.692 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 0.692 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.692 * [taylor]: Taking taylor expansion of d in a 0.692 * [backup-simplify]: Simplify d into d 0.692 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.692 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.692 * [taylor]: Taking taylor expansion of a in a 0.692 * [backup-simplify]: Simplify 0 into 0 0.692 * [backup-simplify]: Simplify 1 into 1 0.693 * [backup-simplify]: Simplify (/ 1 1) into 1 0.693 * [backup-simplify]: Simplify (+ 0 1) into 1 0.693 * [backup-simplify]: Simplify (+ 0 1) into 1 0.693 * [backup-simplify]: Simplify (+ 0 1) into 1 0.693 * [backup-simplify]: Simplify (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) into (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) 0.693 * [taylor]: Taking taylor expansion of 1 in a 0.693 * [backup-simplify]: Simplify 1 into 1 0.693 * [taylor]: Taking taylor expansion of (expm1 (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in a 0.694 * [taylor]: Rewrote expression to (- (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 1) 0.694 * [taylor]: Taking taylor expansion of (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in a 0.694 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 0.694 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.694 * [taylor]: Taking taylor expansion of b in a 0.694 * [backup-simplify]: Simplify b into b 0.694 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.694 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 0.694 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.694 * [taylor]: Taking taylor expansion of c in a 0.694 * [backup-simplify]: Simplify c into c 0.694 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.694 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 0.694 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.694 * [taylor]: Taking taylor expansion of d in a 0.694 * [backup-simplify]: Simplify d into d 0.694 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.694 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.694 * [taylor]: Taking taylor expansion of a in a 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify 1 into 1 0.694 * [backup-simplify]: Simplify (/ 1 1) into 1 0.694 * [backup-simplify]: Simplify (+ 0 1) into 1 0.695 * [backup-simplify]: Simplify (+ 0 1) into 1 0.695 * [backup-simplify]: Simplify (+ 0 1) into 1 0.695 * [backup-simplify]: Simplify (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) into (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) 0.695 * [taylor]: Taking taylor expansion of 1 in a 0.695 * [backup-simplify]: Simplify 1 into 1 0.695 * [backup-simplify]: Simplify (- 1) into -1 0.696 * [backup-simplify]: Simplify (+ (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) -1) into (- (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 1) 0.696 * [taylor]: Taking taylor expansion of (- (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 1) in b 0.696 * [taylor]: Taking taylor expansion of (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.696 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.696 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.696 * [taylor]: Taking taylor expansion of b in b 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify 1 into 1 0.696 * [backup-simplify]: Simplify (/ 1 1) into 1 0.696 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in b 0.696 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.696 * [taylor]: Taking taylor expansion of c in b 0.696 * [backup-simplify]: Simplify c into c 0.696 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.696 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in b 0.696 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.696 * [taylor]: Taking taylor expansion of d in b 0.696 * [backup-simplify]: Simplify d into d 0.696 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.696 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.696 * [taylor]: Taking taylor expansion of a in b 0.696 * [backup-simplify]: Simplify a into a 0.696 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.696 * [backup-simplify]: Simplify (+ 1 0) into 1 0.697 * [backup-simplify]: Simplify (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) into (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) 0.697 * [taylor]: Taking taylor expansion of 1 in b 0.697 * [backup-simplify]: Simplify 1 into 1 0.697 * [backup-simplify]: Simplify (- 1) into -1 0.697 * [backup-simplify]: Simplify (+ (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) -1) into (- (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 1) 0.697 * [taylor]: Taking taylor expansion of (- (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 1) in c 0.697 * [taylor]: Taking taylor expansion of (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.697 * [taylor]: Taking taylor expansion of (/ 1 b) in c 0.697 * [taylor]: Taking taylor expansion of b in c 0.697 * [backup-simplify]: Simplify b into b 0.697 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in c 0.697 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.697 * [taylor]: Taking taylor expansion of c in c 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 1 into 1 0.697 * [backup-simplify]: Simplify (/ 1 1) into 1 0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in c 0.697 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.697 * [taylor]: Taking taylor expansion of d in c 0.698 * [backup-simplify]: Simplify d into d 0.698 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.698 * [taylor]: Taking taylor expansion of (/ 1 a) in c 0.698 * [taylor]: Taking taylor expansion of a in c 0.698 * [backup-simplify]: Simplify a into a 0.698 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.698 * [backup-simplify]: Simplify (+ 1 0) into 1 0.698 * [backup-simplify]: Simplify (+ 0 1) into 1 0.698 * [backup-simplify]: Simplify (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) into (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) 0.698 * [taylor]: Taking taylor expansion of 1 in c 0.698 * [backup-simplify]: Simplify 1 into 1 0.699 * [backup-simplify]: Simplify (- 1) into -1 0.699 * [backup-simplify]: Simplify (+ (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) -1) into (- (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 1) 0.699 * [taylor]: Taking taylor expansion of (- (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 1) in d 0.699 * [taylor]: Taking taylor expansion of (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.699 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.699 * [taylor]: Taking taylor expansion of (/ 1 b) in d 0.699 * [taylor]: Taking taylor expansion of b in d 0.699 * [backup-simplify]: Simplify b into b 0.699 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.699 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in d 0.699 * [taylor]: Taking taylor expansion of (/ 1 c) in d 0.699 * [taylor]: Taking taylor expansion of c in d 0.699 * [backup-simplify]: Simplify c into c 0.699 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.699 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in d 0.699 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.699 * [taylor]: Taking taylor expansion of d in d 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify 1 into 1 0.699 * [backup-simplify]: Simplify (/ 1 1) into 1 0.699 * [taylor]: Taking taylor expansion of (/ 1 a) in d 0.699 * [taylor]: Taking taylor expansion of a in d 0.699 * [backup-simplify]: Simplify a into a 0.699 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.700 * [backup-simplify]: Simplify (+ 1 0) into 1 0.700 * [backup-simplify]: Simplify (+ 0 1) into 1 0.700 * [backup-simplify]: Simplify (+ 0 1) into 1 0.700 * [backup-simplify]: Simplify (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) into (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) 0.700 * [taylor]: Taking taylor expansion of 1 in d 0.700 * [backup-simplify]: Simplify 1 into 1 0.700 * [backup-simplify]: Simplify (- 1) into -1 0.701 * [backup-simplify]: Simplify (+ (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) -1) into (- (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 1) 0.701 * [backup-simplify]: Simplify (- (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 1) into (- (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) 1) 0.701 * [backup-simplify]: Simplify (- 0) into 0 0.701 * [backup-simplify]: Simplify (+ 0 0) into 0 0.701 * [taylor]: Taking taylor expansion of 0 in b 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [taylor]: Taking taylor expansion of 0 in c 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [taylor]: Taking taylor expansion of 0 in d 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify (- 0) into 0 0.702 * [backup-simplify]: Simplify (+ 0 0) into 0 0.702 * [taylor]: Taking taylor expansion of 0 in c 0.702 * [backup-simplify]: Simplify 0 into 0 0.702 * [taylor]: Taking taylor expansion of 0 in d 0.702 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify (- 0) into 0 0.702 * [backup-simplify]: Simplify (+ 0 0) into 0 0.702 * [taylor]: Taking taylor expansion of 0 in d 0.702 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify (- 0) into 0 0.703 * [backup-simplify]: Simplify (+ 0 0) into 0 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify (- 0) into 0 0.703 * [backup-simplify]: Simplify (+ 0 0) into 0 0.703 * [taylor]: Taking taylor expansion of 0 in b 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [taylor]: Taking taylor expansion of 0 in c 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [taylor]: Taking taylor expansion of 0 in d 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [taylor]: Taking taylor expansion of 0 in c 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [taylor]: Taking taylor expansion of 0 in d 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify (- (exp (+ (/ 1 (/ 1 a)) (+ (/ 1 (/ 1 c)) (+ (/ 1 (/ 1 d)) (/ 1 (/ 1 b)))))) 1) into (- (exp (+ d (+ a (+ b c)))) 1) 0.704 * [backup-simplify]: Simplify (expm1 (+ (/ 1 (- a)) (+ (+ (/ 1 (- b)) (/ 1 (- c))) (/ 1 (- d))))) into (expm1 (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 0.704 * [approximate]: Taking taylor expansion of (expm1 (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in (a b c d) around 0 0.705 * [taylor]: Taking taylor expansion of (expm1 (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in d 0.705 * [taylor]: Rewrote expression to (- (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 1) 0.705 * [taylor]: Taking taylor expansion of (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in d 0.705 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.705 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.705 * [taylor]: Taking taylor expansion of (/ 1 b) in d 0.705 * [taylor]: Taking taylor expansion of b in d 0.705 * [backup-simplify]: Simplify b into b 0.705 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.705 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in d 0.705 * [taylor]: Taking taylor expansion of (/ 1 c) in d 0.705 * [taylor]: Taking taylor expansion of c in d 0.705 * [backup-simplify]: Simplify c into c 0.705 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.705 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in d 0.705 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.705 * [taylor]: Taking taylor expansion of d in d 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify 1 into 1 0.705 * [backup-simplify]: Simplify (/ 1 1) into 1 0.706 * [taylor]: Taking taylor expansion of (/ 1 a) in d 0.706 * [taylor]: Taking taylor expansion of a in d 0.706 * [backup-simplify]: Simplify a into a 0.706 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.706 * [backup-simplify]: Simplify (+ 1 0) into 1 0.706 * [backup-simplify]: Simplify (+ 0 1) into 1 0.707 * [backup-simplify]: Simplify (+ 0 1) into 1 0.707 * [backup-simplify]: Simplify (- 1) into -1 0.708 * [backup-simplify]: Simplify (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) into (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) 0.708 * [taylor]: Taking taylor expansion of 1 in d 0.708 * [backup-simplify]: Simplify 1 into 1 0.708 * [taylor]: Taking taylor expansion of (expm1 (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in c 0.708 * [taylor]: Rewrote expression to (- (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 1) 0.708 * [taylor]: Taking taylor expansion of (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in c 0.708 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.708 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.708 * [taylor]: Taking taylor expansion of (/ 1 b) in c 0.708 * [taylor]: Taking taylor expansion of b in c 0.708 * [backup-simplify]: Simplify b into b 0.708 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.708 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in c 0.708 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.708 * [taylor]: Taking taylor expansion of c in c 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (/ 1 1) into 1 0.709 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in c 0.709 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.709 * [taylor]: Taking taylor expansion of d in c 0.709 * [backup-simplify]: Simplify d into d 0.709 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.709 * [taylor]: Taking taylor expansion of (/ 1 a) in c 0.709 * [taylor]: Taking taylor expansion of a in c 0.709 * [backup-simplify]: Simplify a into a 0.709 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.709 * [backup-simplify]: Simplify (+ 1 0) into 1 0.710 * [backup-simplify]: Simplify (+ 0 1) into 1 0.710 * [backup-simplify]: Simplify (- 1) into -1 0.710 * [backup-simplify]: Simplify (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) into (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) 0.710 * [taylor]: Taking taylor expansion of 1 in c 0.710 * [backup-simplify]: Simplify 1 into 1 0.710 * [taylor]: Taking taylor expansion of (expm1 (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in b 0.710 * [taylor]: Rewrote expression to (- (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 1) 0.711 * [taylor]: Taking taylor expansion of (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in b 0.711 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.711 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.711 * [taylor]: Taking taylor expansion of b in b 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify 1 into 1 0.711 * [backup-simplify]: Simplify (/ 1 1) into 1 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in b 0.711 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.711 * [taylor]: Taking taylor expansion of c in b 0.711 * [backup-simplify]: Simplify c into c 0.711 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in b 0.711 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.711 * [taylor]: Taking taylor expansion of d in b 0.711 * [backup-simplify]: Simplify d into d 0.711 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.711 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.711 * [taylor]: Taking taylor expansion of a in b 0.711 * [backup-simplify]: Simplify a into a 0.711 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.712 * [backup-simplify]: Simplify (+ 1 0) into 1 0.712 * [backup-simplify]: Simplify (- 1) into -1 0.713 * [backup-simplify]: Simplify (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) into (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) 0.713 * [taylor]: Taking taylor expansion of 1 in b 0.713 * [backup-simplify]: Simplify 1 into 1 0.713 * [taylor]: Taking taylor expansion of (expm1 (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in a 0.713 * [taylor]: Rewrote expression to (- (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 1) 0.713 * [taylor]: Taking taylor expansion of (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in a 0.713 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in a 0.713 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 0.713 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.713 * [taylor]: Taking taylor expansion of b in a 0.713 * [backup-simplify]: Simplify b into b 0.713 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.713 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 0.713 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.713 * [taylor]: Taking taylor expansion of c in a 0.713 * [backup-simplify]: Simplify c into c 0.713 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.713 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 0.713 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.713 * [taylor]: Taking taylor expansion of d in a 0.713 * [backup-simplify]: Simplify d into d 0.713 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.713 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.713 * [taylor]: Taking taylor expansion of a in a 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 1 into 1 0.714 * [backup-simplify]: Simplify (/ 1 1) into 1 0.714 * [backup-simplify]: Simplify (+ 0 1) into 1 0.714 * [backup-simplify]: Simplify (+ 0 1) into 1 0.715 * [backup-simplify]: Simplify (+ 0 1) into 1 0.715 * [backup-simplify]: Simplify (- 1) into -1 0.715 * [backup-simplify]: Simplify (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) into (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) 0.716 * [taylor]: Taking taylor expansion of 1 in a 0.716 * [backup-simplify]: Simplify 1 into 1 0.716 * [taylor]: Taking taylor expansion of (expm1 (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in a 0.716 * [taylor]: Rewrote expression to (- (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 1) 0.716 * [taylor]: Taking taylor expansion of (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in a 0.716 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in a 0.716 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 0.716 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.716 * [taylor]: Taking taylor expansion of b in a 0.716 * [backup-simplify]: Simplify b into b 0.716 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.716 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 0.716 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.716 * [taylor]: Taking taylor expansion of c in a 0.716 * [backup-simplify]: Simplify c into c 0.716 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.716 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 0.716 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.716 * [taylor]: Taking taylor expansion of d in a 0.716 * [backup-simplify]: Simplify d into d 0.716 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.716 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.716 * [taylor]: Taking taylor expansion of a in a 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify 1 into 1 0.717 * [backup-simplify]: Simplify (/ 1 1) into 1 0.717 * [backup-simplify]: Simplify (+ 0 1) into 1 0.717 * [backup-simplify]: Simplify (+ 0 1) into 1 0.718 * [backup-simplify]: Simplify (+ 0 1) into 1 0.718 * [backup-simplify]: Simplify (- 1) into -1 0.718 * [backup-simplify]: Simplify (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) into (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) 0.718 * [taylor]: Taking taylor expansion of 1 in a 0.719 * [backup-simplify]: Simplify 1 into 1 0.719 * [backup-simplify]: Simplify (- 1) into -1 0.719 * [backup-simplify]: Simplify (+ (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) -1) into (- (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 1) 0.719 * [taylor]: Taking taylor expansion of (- (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 1) in b 0.719 * [taylor]: Taking taylor expansion of (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in b 0.719 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.719 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.719 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.719 * [taylor]: Taking taylor expansion of b in b 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify 1 into 1 0.720 * [backup-simplify]: Simplify (/ 1 1) into 1 0.720 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in b 0.720 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.720 * [taylor]: Taking taylor expansion of c in b 0.720 * [backup-simplify]: Simplify c into c 0.720 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.720 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in b 0.720 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.720 * [taylor]: Taking taylor expansion of d in b 0.720 * [backup-simplify]: Simplify d into d 0.720 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.720 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.720 * [taylor]: Taking taylor expansion of a in b 0.720 * [backup-simplify]: Simplify a into a 0.720 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.721 * [backup-simplify]: Simplify (+ 1 0) into 1 0.721 * [backup-simplify]: Simplify (- 1) into -1 0.721 * [backup-simplify]: Simplify (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) into (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) 0.721 * [taylor]: Taking taylor expansion of 1 in b 0.721 * [backup-simplify]: Simplify 1 into 1 0.722 * [backup-simplify]: Simplify (- 1) into -1 0.722 * [backup-simplify]: Simplify (+ (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) -1) into (- (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 1) 0.722 * [taylor]: Taking taylor expansion of (- (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 1) in c 0.722 * [taylor]: Taking taylor expansion of (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in c 0.722 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.722 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.722 * [taylor]: Taking taylor expansion of (/ 1 b) in c 0.722 * [taylor]: Taking taylor expansion of b in c 0.722 * [backup-simplify]: Simplify b into b 0.722 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.722 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in c 0.722 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.723 * [taylor]: Taking taylor expansion of c in c 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify 1 into 1 0.723 * [backup-simplify]: Simplify (/ 1 1) into 1 0.723 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in c 0.723 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.723 * [taylor]: Taking taylor expansion of d in c 0.723 * [backup-simplify]: Simplify d into d 0.723 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.723 * [taylor]: Taking taylor expansion of (/ 1 a) in c 0.723 * [taylor]: Taking taylor expansion of a in c 0.723 * [backup-simplify]: Simplify a into a 0.723 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.724 * [backup-simplify]: Simplify (+ 1 0) into 1 0.724 * [backup-simplify]: Simplify (+ 0 1) into 1 0.724 * [backup-simplify]: Simplify (- 1) into -1 0.728 * [backup-simplify]: Simplify (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) into (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) 0.728 * [taylor]: Taking taylor expansion of 1 in c 0.728 * [backup-simplify]: Simplify 1 into 1 0.728 * [backup-simplify]: Simplify (- 1) into -1 0.729 * [backup-simplify]: Simplify (+ (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) -1) into (- (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 1) 0.729 * [taylor]: Taking taylor expansion of (- (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 1) in d 0.729 * [taylor]: Taking taylor expansion of (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in d 0.729 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.729 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.729 * [taylor]: Taking taylor expansion of (/ 1 b) in d 0.729 * [taylor]: Taking taylor expansion of b in d 0.729 * [backup-simplify]: Simplify b into b 0.729 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.729 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in d 0.729 * [taylor]: Taking taylor expansion of (/ 1 c) in d 0.729 * [taylor]: Taking taylor expansion of c in d 0.729 * [backup-simplify]: Simplify c into c 0.729 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.729 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in d 0.729 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.729 * [taylor]: Taking taylor expansion of d in d 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify 1 into 1 0.730 * [backup-simplify]: Simplify (/ 1 1) into 1 0.730 * [taylor]: Taking taylor expansion of (/ 1 a) in d 0.730 * [taylor]: Taking taylor expansion of a in d 0.730 * [backup-simplify]: Simplify a into a 0.730 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.730 * [backup-simplify]: Simplify (+ 1 0) into 1 0.731 * [backup-simplify]: Simplify (+ 0 1) into 1 0.731 * [backup-simplify]: Simplify (+ 0 1) into 1 0.731 * [backup-simplify]: Simplify (- 1) into -1 0.732 * [backup-simplify]: Simplify (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) into (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) 0.732 * [taylor]: Taking taylor expansion of 1 in d 0.732 * [backup-simplify]: Simplify 1 into 1 0.732 * [backup-simplify]: Simplify (- 1) into -1 0.732 * [backup-simplify]: Simplify (+ (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) -1) into (- (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 1) 0.732 * [backup-simplify]: Simplify (- (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 1) into (- (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) 1) 0.733 * [backup-simplify]: Simplify (- 0) into 0 0.733 * [backup-simplify]: Simplify (+ 0 0) into 0 0.733 * [taylor]: Taking taylor expansion of 0 in b 0.733 * [backup-simplify]: Simplify 0 into 0 0.733 * [taylor]: Taking taylor expansion of 0 in c 0.733 * [backup-simplify]: Simplify 0 into 0 0.733 * [taylor]: Taking taylor expansion of 0 in d 0.733 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify (- 0) into 0 0.733 * [backup-simplify]: Simplify (+ 0 0) into 0 0.733 * [taylor]: Taking taylor expansion of 0 in c 0.733 * [backup-simplify]: Simplify 0 into 0 0.733 * [taylor]: Taking taylor expansion of 0 in d 0.733 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify (- 0) into 0 0.734 * [backup-simplify]: Simplify (+ 0 0) into 0 0.734 * [taylor]: Taking taylor expansion of 0 in d 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify (- 0) into 0 0.734 * [backup-simplify]: Simplify (+ 0 0) into 0 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify (- 0) into 0 0.735 * [backup-simplify]: Simplify (+ 0 0) into 0 0.735 * [taylor]: Taking taylor expansion of 0 in b 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [taylor]: Taking taylor expansion of 0 in c 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [taylor]: Taking taylor expansion of 0 in d 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [taylor]: Taking taylor expansion of 0 in c 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [taylor]: Taking taylor expansion of 0 in d 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify (- (exp (- (+ (/ 1 (/ 1 (- b))) (+ (/ 1 (/ 1 (- d))) (+ (/ 1 (/ 1 (- c))) (/ 1 (/ 1 (- a)))))))) 1) into (- (exp (+ d (+ a (+ b c)))) 1) 0.735 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.735 * [backup-simplify]: Simplify (log1p (expm1 (+ a (+ (+ b c) d)))) into (log1p (expm1 (+ d (+ a (+ b c))))) 0.735 * [approximate]: Taking taylor expansion of (log1p (expm1 (+ d (+ a (+ b c))))) in (a b c d) around 0 0.735 * [taylor]: Taking taylor expansion of (log1p (expm1 (+ d (+ a (+ b c))))) in d 0.735 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (+ d (+ a (+ b c)))))) 0.736 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (+ d (+ a (+ b c))))) in d 0.736 * [taylor]: Taking taylor expansion of 1 in d 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [taylor]: Taking taylor expansion of (expm1 (+ d (+ a (+ b c)))) in d 0.736 * [taylor]: Rewrote expression to (- (exp (+ d (+ a (+ b c)))) 1) 0.736 * [taylor]: Taking taylor expansion of (exp (+ d (+ a (+ b c)))) in d 0.736 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.736 * [taylor]: Taking taylor expansion of d in d 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in d 0.736 * [taylor]: Taking taylor expansion of a in d 0.736 * [backup-simplify]: Simplify a into a 0.736 * [taylor]: Taking taylor expansion of (+ b c) in d 0.736 * [taylor]: Taking taylor expansion of b in d 0.736 * [backup-simplify]: Simplify b into b 0.736 * [taylor]: Taking taylor expansion of c in d 0.736 * [backup-simplify]: Simplify c into c 0.736 * [backup-simplify]: Simplify (+ b c) into (+ b c) 0.736 * [backup-simplify]: Simplify (+ a (+ b c)) into (+ a (+ b c)) 0.736 * [backup-simplify]: Simplify (+ 0 (+ a (+ b c))) into (+ a (+ c b)) 0.736 * [backup-simplify]: Simplify (exp (+ a (+ c b))) into (exp (+ a (+ b c))) 0.736 * [taylor]: Taking taylor expansion of 1 in d 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [backup-simplify]: Simplify (- 1) into -1 0.736 * [backup-simplify]: Simplify (+ (exp (+ a (+ b c))) -1) into (- (exp (+ a (+ b c))) 1) 0.736 * [backup-simplify]: Simplify (+ 1 (- (exp (+ a (+ b c))) 1)) into (exp (+ a (+ b c))) 0.736 * [backup-simplify]: Simplify (log (exp (+ a (+ b c)))) into (+ a (+ b c)) 0.737 * [taylor]: Taking taylor expansion of (log1p (expm1 (+ d (+ a (+ b c))))) in c 0.737 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (+ d (+ a (+ b c)))))) 0.737 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (+ d (+ a (+ b c))))) in c 0.737 * [taylor]: Taking taylor expansion of 1 in c 0.737 * [backup-simplify]: Simplify 1 into 1 0.737 * [taylor]: Taking taylor expansion of (expm1 (+ d (+ a (+ b c)))) in c 0.737 * [taylor]: Rewrote expression to (- (exp (+ d (+ a (+ b c)))) 1) 0.737 * [taylor]: Taking taylor expansion of (exp (+ d (+ a (+ b c)))) in c 0.737 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 0.737 * [taylor]: Taking taylor expansion of d in c 0.737 * [backup-simplify]: Simplify d into d 0.737 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in c 0.737 * [taylor]: Taking taylor expansion of a in c 0.737 * [backup-simplify]: Simplify a into a 0.737 * [taylor]: Taking taylor expansion of (+ b c) in c 0.737 * [taylor]: Taking taylor expansion of b in c 0.737 * [backup-simplify]: Simplify b into b 0.737 * [taylor]: Taking taylor expansion of c in c 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 1 into 1 0.737 * [backup-simplify]: Simplify (+ b 0) into b 0.737 * [backup-simplify]: Simplify (+ a b) into (+ a b) 0.737 * [backup-simplify]: Simplify (+ d (+ a b)) into (+ d (+ a b)) 0.737 * [backup-simplify]: Simplify (exp (+ d (+ a b))) into (exp (+ d (+ a b))) 0.737 * [taylor]: Taking taylor expansion of 1 in c 0.737 * [backup-simplify]: Simplify 1 into 1 0.737 * [backup-simplify]: Simplify (- 1) into -1 0.737 * [backup-simplify]: Simplify (+ (exp (+ d (+ a b))) -1) into (- (exp (+ d (+ a b))) 1) 0.737 * [backup-simplify]: Simplify (+ 1 (- (exp (+ d (+ a b))) 1)) into (exp (+ d (+ a b))) 0.738 * [backup-simplify]: Simplify (log (exp (+ d (+ a b)))) into (+ d (+ a b)) 0.738 * [taylor]: Taking taylor expansion of (log1p (expm1 (+ d (+ a (+ b c))))) in b 0.738 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (+ d (+ a (+ b c)))))) 0.738 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (+ d (+ a (+ b c))))) in b 0.738 * [taylor]: Taking taylor expansion of 1 in b 0.738 * [backup-simplify]: Simplify 1 into 1 0.738 * [taylor]: Taking taylor expansion of (expm1 (+ d (+ a (+ b c)))) in b 0.738 * [taylor]: Rewrote expression to (- (exp (+ d (+ a (+ b c)))) 1) 0.738 * [taylor]: Taking taylor expansion of (exp (+ d (+ a (+ b c)))) in b 0.738 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in b 0.738 * [taylor]: Taking taylor expansion of d in b 0.738 * [backup-simplify]: Simplify d into d 0.738 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in b 0.738 * [taylor]: Taking taylor expansion of a in b 0.738 * [backup-simplify]: Simplify a into a 0.738 * [taylor]: Taking taylor expansion of (+ b c) in b 0.738 * [taylor]: Taking taylor expansion of b in b 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 1 into 1 0.738 * [taylor]: Taking taylor expansion of c in b 0.738 * [backup-simplify]: Simplify c into c 0.738 * [backup-simplify]: Simplify (+ 0 c) into c 0.738 * [backup-simplify]: Simplify (+ a c) into (+ a c) 0.738 * [backup-simplify]: Simplify (+ d (+ a c)) into (+ d (+ a c)) 0.738 * [backup-simplify]: Simplify (exp (+ d (+ a c))) into (exp (+ d (+ a c))) 0.738 * [taylor]: Taking taylor expansion of 1 in b 0.738 * [backup-simplify]: Simplify 1 into 1 0.738 * [backup-simplify]: Simplify (- 1) into -1 0.738 * [backup-simplify]: Simplify (+ (exp (+ d (+ a c))) -1) into (- (exp (+ d (+ a c))) 1) 0.738 * [backup-simplify]: Simplify (+ 1 (- (exp (+ d (+ a c))) 1)) into (exp (+ d (+ a c))) 0.739 * [backup-simplify]: Simplify (log (exp (+ d (+ a c)))) into (+ d (+ a c)) 0.739 * [taylor]: Taking taylor expansion of (log1p (expm1 (+ d (+ a (+ b c))))) in a 0.739 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (+ d (+ a (+ b c)))))) 0.739 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (+ d (+ a (+ b c))))) in a 0.739 * [taylor]: Taking taylor expansion of 1 in a 0.739 * [backup-simplify]: Simplify 1 into 1 0.739 * [taylor]: Taking taylor expansion of (expm1 (+ d (+ a (+ b c)))) in a 0.739 * [taylor]: Rewrote expression to (- (exp (+ d (+ a (+ b c)))) 1) 0.739 * [taylor]: Taking taylor expansion of (exp (+ d (+ a (+ b c)))) in a 0.739 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in a 0.739 * [taylor]: Taking taylor expansion of d in a 0.739 * [backup-simplify]: Simplify d into d 0.739 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in a 0.739 * [taylor]: Taking taylor expansion of a in a 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 1 into 1 0.739 * [taylor]: Taking taylor expansion of (+ b c) in a 0.739 * [taylor]: Taking taylor expansion of b in a 0.739 * [backup-simplify]: Simplify b into b 0.739 * [taylor]: Taking taylor expansion of c in a 0.739 * [backup-simplify]: Simplify c into c 0.739 * [backup-simplify]: Simplify (+ b c) into (+ b c) 0.739 * [backup-simplify]: Simplify (+ 0 (+ b c)) into (+ c b) 0.739 * [backup-simplify]: Simplify (+ d (+ c b)) into (+ d (+ b c)) 0.739 * [backup-simplify]: Simplify (exp (+ d (+ b c))) into (exp (+ d (+ b c))) 0.739 * [taylor]: Taking taylor expansion of 1 in a 0.739 * [backup-simplify]: Simplify 1 into 1 0.739 * [backup-simplify]: Simplify (- 1) into -1 0.739 * [backup-simplify]: Simplify (+ (exp (+ d (+ b c))) -1) into (- (exp (+ d (+ b c))) 1) 0.739 * [backup-simplify]: Simplify (+ 1 (- (exp (+ d (+ b c))) 1)) into (exp (+ d (+ b c))) 0.740 * [backup-simplify]: Simplify (log (exp (+ d (+ b c)))) into (+ d (+ b c)) 0.740 * [taylor]: Taking taylor expansion of (log1p (expm1 (+ d (+ a (+ b c))))) in a 0.740 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (+ d (+ a (+ b c)))))) 0.740 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (+ d (+ a (+ b c))))) in a 0.740 * [taylor]: Taking taylor expansion of 1 in a 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [taylor]: Taking taylor expansion of (expm1 (+ d (+ a (+ b c)))) in a 0.740 * [taylor]: Rewrote expression to (- (exp (+ d (+ a (+ b c)))) 1) 0.740 * [taylor]: Taking taylor expansion of (exp (+ d (+ a (+ b c)))) in a 0.740 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in a 0.740 * [taylor]: Taking taylor expansion of d in a 0.740 * [backup-simplify]: Simplify d into d 0.740 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in a 0.740 * [taylor]: Taking taylor expansion of a in a 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [taylor]: Taking taylor expansion of (+ b c) in a 0.740 * [taylor]: Taking taylor expansion of b in a 0.740 * [backup-simplify]: Simplify b into b 0.740 * [taylor]: Taking taylor expansion of c in a 0.740 * [backup-simplify]: Simplify c into c 0.740 * [backup-simplify]: Simplify (+ b c) into (+ b c) 0.740 * [backup-simplify]: Simplify (+ 0 (+ b c)) into (+ c b) 0.740 * [backup-simplify]: Simplify (+ d (+ c b)) into (+ d (+ b c)) 0.740 * [backup-simplify]: Simplify (exp (+ d (+ b c))) into (exp (+ d (+ b c))) 0.740 * [taylor]: Taking taylor expansion of 1 in a 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [backup-simplify]: Simplify (- 1) into -1 0.740 * [backup-simplify]: Simplify (+ (exp (+ d (+ b c))) -1) into (- (exp (+ d (+ b c))) 1) 0.741 * [backup-simplify]: Simplify (+ 1 (- (exp (+ d (+ b c))) 1)) into (exp (+ d (+ b c))) 0.741 * [backup-simplify]: Simplify (log (exp (+ d (+ b c)))) into (+ d (+ b c)) 0.741 * [taylor]: Taking taylor expansion of (+ d (+ b c)) in b 0.741 * [taylor]: Taking taylor expansion of d in b 0.741 * [backup-simplify]: Simplify d into d 0.741 * [taylor]: Taking taylor expansion of (+ b c) in b 0.741 * [taylor]: Taking taylor expansion of b in b 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 1 into 1 0.741 * [taylor]: Taking taylor expansion of c in b 0.741 * [backup-simplify]: Simplify c into c 0.741 * [backup-simplify]: Simplify (+ 0 c) into c 0.741 * [backup-simplify]: Simplify (+ d c) into (+ d c) 0.741 * [taylor]: Taking taylor expansion of (+ d c) in c 0.741 * [taylor]: Taking taylor expansion of d in c 0.741 * [backup-simplify]: Simplify d into d 0.741 * [taylor]: Taking taylor expansion of c in c 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 1 into 1 0.741 * [backup-simplify]: Simplify (+ d 0) into d 0.741 * [taylor]: Taking taylor expansion of d in d 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 1 into 1 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify (+ 0 0) into 0 0.742 * [backup-simplify]: Simplify (+ 1 0) into 1 0.742 * [backup-simplify]: Simplify (+ 0 1) into 1 0.742 * [backup-simplify]: Simplify (* (exp (+ d (+ b c))) (+ (* (/ (pow 1 1) 1)))) into (exp (+ d (+ b c))) 0.742 * [backup-simplify]: Simplify (- 0) into 0 0.743 * [backup-simplify]: Simplify (+ (exp (+ d (+ b c))) 0) into (exp (+ d (+ b c))) 0.743 * [backup-simplify]: Simplify (+ 0 (exp (+ d (+ b c)))) into (exp (+ d (+ b c))) 0.743 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (exp (+ d (+ b c)))) 1)) (pow (exp (+ d (+ b c))) 1)))) 1) into 1 0.743 * [taylor]: Taking taylor expansion of 1 in b 0.743 * [backup-simplify]: Simplify 1 into 1 0.743 * [taylor]: Taking taylor expansion of 1 in c 0.743 * [backup-simplify]: Simplify 1 into 1 0.743 * [taylor]: Taking taylor expansion of 1 in d 0.743 * [backup-simplify]: Simplify 1 into 1 0.743 * [backup-simplify]: Simplify 1 into 1 0.743 * [backup-simplify]: Simplify (+ 1 0) into 1 0.743 * [backup-simplify]: Simplify (+ 0 1) into 1 0.743 * [taylor]: Taking taylor expansion of 1 in c 0.744 * [backup-simplify]: Simplify 1 into 1 0.744 * [taylor]: Taking taylor expansion of 1 in d 0.744 * [backup-simplify]: Simplify 1 into 1 0.744 * [backup-simplify]: Simplify 1 into 1 0.744 * [backup-simplify]: Simplify (+ 0 1) into 1 0.744 * [taylor]: Taking taylor expansion of 1 in d 0.744 * [backup-simplify]: Simplify 1 into 1 0.744 * [backup-simplify]: Simplify 1 into 1 0.744 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* c (* 1 1)))) (+ (* 1 (* 1 (* 1 (* b 1)))) (* 1 (* 1 (* 1 (* 1 a)))))) into (+ a (+ b c)) 0.744 * [backup-simplify]: Simplify (log1p (expm1 (+ (/ 1 a) (+ (+ (/ 1 b) (/ 1 c)) (/ 1 d))))) into (log1p (expm1 (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 0.744 * [approximate]: Taking taylor expansion of (log1p (expm1 (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in (a b c d) around 0 0.744 * [taylor]: Taking taylor expansion of (log1p (expm1 (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in d 0.745 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))))) 0.745 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in d 0.745 * [taylor]: Taking taylor expansion of 1 in d 0.745 * [backup-simplify]: Simplify 1 into 1 0.745 * [taylor]: Taking taylor expansion of (expm1 (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.745 * [taylor]: Rewrote expression to (- (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 1) 0.745 * [taylor]: Taking taylor expansion of (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.745 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.745 * [taylor]: Taking taylor expansion of (/ 1 b) in d 0.745 * [taylor]: Taking taylor expansion of b in d 0.745 * [backup-simplify]: Simplify b into b 0.745 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.745 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in d 0.745 * [taylor]: Taking taylor expansion of (/ 1 c) in d 0.745 * [taylor]: Taking taylor expansion of c in d 0.745 * [backup-simplify]: Simplify c into c 0.745 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.745 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in d 0.745 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.745 * [taylor]: Taking taylor expansion of d in d 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 1 into 1 0.745 * [backup-simplify]: Simplify (/ 1 1) into 1 0.745 * [taylor]: Taking taylor expansion of (/ 1 a) in d 0.745 * [taylor]: Taking taylor expansion of a in d 0.745 * [backup-simplify]: Simplify a into a 0.745 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.746 * [backup-simplify]: Simplify (+ 1 0) into 1 0.746 * [backup-simplify]: Simplify (+ 0 1) into 1 0.746 * [backup-simplify]: Simplify (+ 0 1) into 1 0.746 * [backup-simplify]: Simplify (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) into (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) 0.746 * [taylor]: Taking taylor expansion of 1 in d 0.746 * [backup-simplify]: Simplify 1 into 1 0.746 * [backup-simplify]: Simplify (- 1) into -1 0.747 * [backup-simplify]: Simplify (+ (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) -1) into (- (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 1) 0.747 * [backup-simplify]: Simplify (+ 1 (- (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 1)) into (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) 0.747 * [backup-simplify]: Simplify (log (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b)))))) into (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) 0.747 * [taylor]: Taking taylor expansion of (log1p (expm1 (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in c 0.747 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))))) 0.747 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in c 0.747 * [taylor]: Taking taylor expansion of 1 in c 0.747 * [backup-simplify]: Simplify 1 into 1 0.747 * [taylor]: Taking taylor expansion of (expm1 (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.747 * [taylor]: Rewrote expression to (- (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 1) 0.747 * [taylor]: Taking taylor expansion of (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.747 * [taylor]: Taking taylor expansion of (/ 1 b) in c 0.747 * [taylor]: Taking taylor expansion of b in c 0.747 * [backup-simplify]: Simplify b into b 0.747 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in c 0.747 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.747 * [taylor]: Taking taylor expansion of c in c 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 1 into 1 0.748 * [backup-simplify]: Simplify (/ 1 1) into 1 0.748 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in c 0.748 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.748 * [taylor]: Taking taylor expansion of d in c 0.748 * [backup-simplify]: Simplify d into d 0.748 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.748 * [taylor]: Taking taylor expansion of (/ 1 a) in c 0.748 * [taylor]: Taking taylor expansion of a in c 0.748 * [backup-simplify]: Simplify a into a 0.748 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.748 * [backup-simplify]: Simplify (+ 1 0) into 1 0.748 * [backup-simplify]: Simplify (+ 0 1) into 1 0.748 * [backup-simplify]: Simplify (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) into (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) 0.748 * [taylor]: Taking taylor expansion of 1 in c 0.748 * [backup-simplify]: Simplify 1 into 1 0.749 * [backup-simplify]: Simplify (- 1) into -1 0.749 * [backup-simplify]: Simplify (+ (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) -1) into (- (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 1) 0.749 * [backup-simplify]: Simplify (+ 1 (- (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 1)) into (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) 0.749 * [backup-simplify]: Simplify (log (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b)))))) into (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) 0.749 * [taylor]: Taking taylor expansion of (log1p (expm1 (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in b 0.749 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))))) 0.749 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in b 0.749 * [taylor]: Taking taylor expansion of 1 in b 0.749 * [backup-simplify]: Simplify 1 into 1 0.749 * [taylor]: Taking taylor expansion of (expm1 (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.749 * [taylor]: Rewrote expression to (- (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 1) 0.749 * [taylor]: Taking taylor expansion of (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.750 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.750 * [taylor]: Taking taylor expansion of b in b 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 1 into 1 0.750 * [backup-simplify]: Simplify (/ 1 1) into 1 0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in b 0.750 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.750 * [taylor]: Taking taylor expansion of c in b 0.750 * [backup-simplify]: Simplify c into c 0.750 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in b 0.750 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.750 * [taylor]: Taking taylor expansion of d in b 0.750 * [backup-simplify]: Simplify d into d 0.750 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.750 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.750 * [taylor]: Taking taylor expansion of a in b 0.750 * [backup-simplify]: Simplify a into a 0.750 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.750 * [backup-simplify]: Simplify (+ 1 0) into 1 0.750 * [backup-simplify]: Simplify (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) into (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) 0.750 * [taylor]: Taking taylor expansion of 1 in b 0.750 * [backup-simplify]: Simplify 1 into 1 0.751 * [backup-simplify]: Simplify (- 1) into -1 0.751 * [backup-simplify]: Simplify (+ (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) -1) into (- (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 1) 0.751 * [backup-simplify]: Simplify (+ 1 (- (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 1)) into (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) 0.751 * [backup-simplify]: Simplify (log (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b)))))) into (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) 0.751 * [taylor]: Taking taylor expansion of (log1p (expm1 (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in a 0.751 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))))) 0.751 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in a 0.751 * [taylor]: Taking taylor expansion of 1 in a 0.751 * [backup-simplify]: Simplify 1 into 1 0.751 * [taylor]: Taking taylor expansion of (expm1 (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in a 0.751 * [taylor]: Rewrote expression to (- (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 1) 0.752 * [taylor]: Taking taylor expansion of (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in a 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 0.752 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.752 * [taylor]: Taking taylor expansion of b in a 0.752 * [backup-simplify]: Simplify b into b 0.752 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 0.752 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.752 * [taylor]: Taking taylor expansion of c in a 0.752 * [backup-simplify]: Simplify c into c 0.752 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 0.752 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.752 * [taylor]: Taking taylor expansion of d in a 0.752 * [backup-simplify]: Simplify d into d 0.752 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.752 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.752 * [taylor]: Taking taylor expansion of a in a 0.752 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify 1 into 1 0.752 * [backup-simplify]: Simplify (/ 1 1) into 1 0.752 * [backup-simplify]: Simplify (+ 0 1) into 1 0.753 * [backup-simplify]: Simplify (+ 0 1) into 1 0.753 * [backup-simplify]: Simplify (+ 0 1) into 1 0.753 * [backup-simplify]: Simplify (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) into (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) 0.753 * [taylor]: Taking taylor expansion of 1 in a 0.753 * [backup-simplify]: Simplify 1 into 1 0.753 * [backup-simplify]: Simplify (- 1) into -1 0.753 * [backup-simplify]: Simplify (+ (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) -1) into (- (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 1) 0.754 * [backup-simplify]: Simplify (+ 1 (- (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 1)) into (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) 0.754 * [backup-simplify]: Simplify (log (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b)))))) into (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) 0.754 * [taylor]: Taking taylor expansion of (log1p (expm1 (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in a 0.754 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))))) 0.754 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in a 0.754 * [taylor]: Taking taylor expansion of 1 in a 0.754 * [backup-simplify]: Simplify 1 into 1 0.754 * [taylor]: Taking taylor expansion of (expm1 (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in a 0.754 * [taylor]: Rewrote expression to (- (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 1) 0.754 * [taylor]: Taking taylor expansion of (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in a 0.754 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 0.754 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.754 * [taylor]: Taking taylor expansion of b in a 0.754 * [backup-simplify]: Simplify b into b 0.754 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.754 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 0.754 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.754 * [taylor]: Taking taylor expansion of c in a 0.754 * [backup-simplify]: Simplify c into c 0.754 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.754 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 0.754 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.754 * [taylor]: Taking taylor expansion of d in a 0.754 * [backup-simplify]: Simplify d into d 0.754 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.754 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.754 * [taylor]: Taking taylor expansion of a in a 0.754 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify 1 into 1 0.755 * [backup-simplify]: Simplify (/ 1 1) into 1 0.755 * [backup-simplify]: Simplify (+ 0 1) into 1 0.755 * [backup-simplify]: Simplify (+ 0 1) into 1 0.755 * [backup-simplify]: Simplify (+ 0 1) into 1 0.755 * [backup-simplify]: Simplify (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) into (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) 0.755 * [taylor]: Taking taylor expansion of 1 in a 0.755 * [backup-simplify]: Simplify 1 into 1 0.756 * [backup-simplify]: Simplify (- 1) into -1 0.756 * [backup-simplify]: Simplify (+ (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) -1) into (- (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 1) 0.756 * [backup-simplify]: Simplify (+ 1 (- (exp (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 1)) into (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) 0.756 * [backup-simplify]: Simplify (log (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b)))))) into (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) 0.756 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.756 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.756 * [taylor]: Taking taylor expansion of b in b 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 1 into 1 0.757 * [backup-simplify]: Simplify (/ 1 1) into 1 0.757 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in b 0.757 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.757 * [taylor]: Taking taylor expansion of c in b 0.757 * [backup-simplify]: Simplify c into c 0.757 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.757 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in b 0.757 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.757 * [taylor]: Taking taylor expansion of d in b 0.757 * [backup-simplify]: Simplify d into d 0.757 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.757 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.757 * [taylor]: Taking taylor expansion of a in b 0.757 * [backup-simplify]: Simplify a into a 0.757 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.757 * [backup-simplify]: Simplify (+ (/ 1 d) (/ 1 a)) into (+ (/ 1 d) (/ 1 a)) 0.758 * [backup-simplify]: Simplify (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) into (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))) 0.758 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) into (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))) 0.758 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))) in c 0.758 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.758 * [taylor]: Taking taylor expansion of d in c 0.758 * [backup-simplify]: Simplify d into d 0.758 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.758 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 a)) in c 0.758 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.758 * [taylor]: Taking taylor expansion of c in c 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [backup-simplify]: Simplify (/ 1 1) into 1 0.758 * [taylor]: Taking taylor expansion of (/ 1 a) in c 0.758 * [taylor]: Taking taylor expansion of a in c 0.758 * [backup-simplify]: Simplify a into a 0.758 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.759 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 0.759 * [backup-simplify]: Simplify (+ (/ 1 d) (/ 1 a)) into (+ (/ 1 d) (/ 1 a)) 0.759 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in d 0.759 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.759 * [taylor]: Taking taylor expansion of d in d 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify 1 into 1 0.759 * [backup-simplify]: Simplify (/ 1 1) into 1 0.759 * [taylor]: Taking taylor expansion of (/ 1 a) in d 0.759 * [taylor]: Taking taylor expansion of a in d 0.759 * [backup-simplify]: Simplify a into a 0.759 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.760 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 0.760 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.760 * [backup-simplify]: Simplify (- 0) into 0 0.760 * [backup-simplify]: Simplify (+ 0 0) into 0 0.760 * [backup-simplify]: Simplify (+ 0 0) into 0 0.761 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) 1)))) 1) into 0 0.761 * [taylor]: Taking taylor expansion of 0 in b 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [taylor]: Taking taylor expansion of 0 in c 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [taylor]: Taking taylor expansion of 0 in d 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 0.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 0.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 0.762 * [backup-simplify]: Simplify (+ 0 0) into 0 0.762 * [backup-simplify]: Simplify (+ 0 0) into 0 0.762 * [backup-simplify]: Simplify (+ 0 0) into 0 0.762 * [taylor]: Taking taylor expansion of 0 in c 0.762 * [backup-simplify]: Simplify 0 into 0 0.762 * [taylor]: Taking taylor expansion of 0 in d 0.762 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 0.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 0.763 * [backup-simplify]: Simplify (+ 0 0) into 0 0.764 * [backup-simplify]: Simplify (+ 0 0) into 0 0.764 * [taylor]: Taking taylor expansion of 0 in d 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 0.764 * [backup-simplify]: Simplify (+ 0 0) into 0 0.764 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify (- 0) into 0 0.765 * [backup-simplify]: Simplify (+ 0 0) into 0 0.765 * [backup-simplify]: Simplify (+ 0 0) into 0 0.766 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (+ (/ 1 a) (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))))) 1)))) 2) into 0 0.766 * [taylor]: Taking taylor expansion of 0 in b 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [taylor]: Taking taylor expansion of 0 in c 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [taylor]: Taking taylor expansion of 0 in d 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [taylor]: Taking taylor expansion of 0 in c 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [taylor]: Taking taylor expansion of 0 in d 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify (/ 1 (/ 1 a)) into a 0.767 * [backup-simplify]: Simplify (log1p (expm1 (+ (/ 1 (- a)) (+ (+ (/ 1 (- b)) (/ 1 (- c))) (/ 1 (- d)))))) into (log1p (expm1 (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))))) 0.767 * [approximate]: Taking taylor expansion of (log1p (expm1 (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))))) in (a b c d) around 0 0.767 * [taylor]: Taking taylor expansion of (log1p (expm1 (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))))) in d 0.767 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))))) 0.767 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))))) in d 0.767 * [taylor]: Taking taylor expansion of 1 in d 0.767 * [backup-simplify]: Simplify 1 into 1 0.767 * [taylor]: Taking taylor expansion of (expm1 (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in d 0.767 * [taylor]: Rewrote expression to (- (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 1) 0.767 * [taylor]: Taking taylor expansion of (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in d 0.767 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.767 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.767 * [taylor]: Taking taylor expansion of (/ 1 b) in d 0.767 * [taylor]: Taking taylor expansion of b in d 0.767 * [backup-simplify]: Simplify b into b 0.767 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.767 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in d 0.767 * [taylor]: Taking taylor expansion of (/ 1 c) in d 0.767 * [taylor]: Taking taylor expansion of c in d 0.767 * [backup-simplify]: Simplify c into c 0.767 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.767 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in d 0.767 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.767 * [taylor]: Taking taylor expansion of d in d 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 1 into 1 0.768 * [backup-simplify]: Simplify (/ 1 1) into 1 0.768 * [taylor]: Taking taylor expansion of (/ 1 a) in d 0.768 * [taylor]: Taking taylor expansion of a in d 0.768 * [backup-simplify]: Simplify a into a 0.768 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.768 * [backup-simplify]: Simplify (+ 1 0) into 1 0.768 * [backup-simplify]: Simplify (+ 0 1) into 1 0.768 * [backup-simplify]: Simplify (+ 0 1) into 1 0.769 * [backup-simplify]: Simplify (- 1) into -1 0.769 * [backup-simplify]: Simplify (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) into (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) 0.769 * [taylor]: Taking taylor expansion of 1 in d 0.769 * [backup-simplify]: Simplify 1 into 1 0.769 * [backup-simplify]: Simplify (- 1) into -1 0.769 * [backup-simplify]: Simplify (+ (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) -1) into (- (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 1) 0.769 * [backup-simplify]: Simplify (+ 1 (- (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 1)) into (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) 0.770 * [backup-simplify]: Simplify (log (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))))) into (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 0.770 * [taylor]: Taking taylor expansion of (log1p (expm1 (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))))) in c 0.770 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))))) 0.770 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))))) in c 0.770 * [taylor]: Taking taylor expansion of 1 in c 0.770 * [backup-simplify]: Simplify 1 into 1 0.770 * [taylor]: Taking taylor expansion of (expm1 (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in c 0.770 * [taylor]: Rewrote expression to (- (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 1) 0.770 * [taylor]: Taking taylor expansion of (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in c 0.770 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.770 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.770 * [taylor]: Taking taylor expansion of (/ 1 b) in c 0.770 * [taylor]: Taking taylor expansion of b in c 0.770 * [backup-simplify]: Simplify b into b 0.770 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.770 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in c 0.770 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.770 * [taylor]: Taking taylor expansion of c in c 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 1 into 1 0.770 * [backup-simplify]: Simplify (/ 1 1) into 1 0.770 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in c 0.770 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.770 * [taylor]: Taking taylor expansion of d in c 0.770 * [backup-simplify]: Simplify d into d 0.770 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.770 * [taylor]: Taking taylor expansion of (/ 1 a) in c 0.770 * [taylor]: Taking taylor expansion of a in c 0.770 * [backup-simplify]: Simplify a into a 0.770 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.771 * [backup-simplify]: Simplify (+ 1 0) into 1 0.771 * [backup-simplify]: Simplify (+ 0 1) into 1 0.771 * [backup-simplify]: Simplify (- 1) into -1 0.771 * [backup-simplify]: Simplify (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) into (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) 0.771 * [taylor]: Taking taylor expansion of 1 in c 0.771 * [backup-simplify]: Simplify 1 into 1 0.772 * [backup-simplify]: Simplify (- 1) into -1 0.772 * [backup-simplify]: Simplify (+ (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) -1) into (- (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 1) 0.772 * [backup-simplify]: Simplify (+ 1 (- (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 1)) into (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) 0.772 * [backup-simplify]: Simplify (log (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))))) into (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 0.772 * [taylor]: Taking taylor expansion of (log1p (expm1 (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))))) in b 0.772 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))))) 0.772 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))))) in b 0.772 * [taylor]: Taking taylor expansion of 1 in b 0.772 * [backup-simplify]: Simplify 1 into 1 0.772 * [taylor]: Taking taylor expansion of (expm1 (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in b 0.772 * [taylor]: Rewrote expression to (- (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 1) 0.772 * [taylor]: Taking taylor expansion of (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in b 0.773 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.773 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.773 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.773 * [taylor]: Taking taylor expansion of b in b 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 1 into 1 0.773 * [backup-simplify]: Simplify (/ 1 1) into 1 0.773 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in b 0.773 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.773 * [taylor]: Taking taylor expansion of c in b 0.773 * [backup-simplify]: Simplify c into c 0.773 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.773 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in b 0.773 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.773 * [taylor]: Taking taylor expansion of d in b 0.773 * [backup-simplify]: Simplify d into d 0.773 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.773 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.773 * [taylor]: Taking taylor expansion of a in b 0.773 * [backup-simplify]: Simplify a into a 0.773 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.773 * [backup-simplify]: Simplify (+ 1 0) into 1 0.774 * [backup-simplify]: Simplify (- 1) into -1 0.774 * [backup-simplify]: Simplify (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) into (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) 0.774 * [taylor]: Taking taylor expansion of 1 in b 0.774 * [backup-simplify]: Simplify 1 into 1 0.774 * [backup-simplify]: Simplify (- 1) into -1 0.774 * [backup-simplify]: Simplify (+ (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) -1) into (- (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 1) 0.774 * [backup-simplify]: Simplify (+ 1 (- (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 1)) into (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) 0.775 * [backup-simplify]: Simplify (log (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))))) into (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 0.775 * [taylor]: Taking taylor expansion of (log1p (expm1 (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))))) in a 0.775 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))))) 0.775 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))))) in a 0.775 * [taylor]: Taking taylor expansion of 1 in a 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [taylor]: Taking taylor expansion of (expm1 (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in a 0.775 * [taylor]: Rewrote expression to (- (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 1) 0.775 * [taylor]: Taking taylor expansion of (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in a 0.775 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in a 0.775 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 0.775 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.775 * [taylor]: Taking taylor expansion of b in a 0.775 * [backup-simplify]: Simplify b into b 0.775 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.775 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 0.775 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.775 * [taylor]: Taking taylor expansion of c in a 0.775 * [backup-simplify]: Simplify c into c 0.775 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.775 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 0.775 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.775 * [taylor]: Taking taylor expansion of d in a 0.775 * [backup-simplify]: Simplify d into d 0.775 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.775 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.775 * [taylor]: Taking taylor expansion of a in a 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [backup-simplify]: Simplify (/ 1 1) into 1 0.776 * [backup-simplify]: Simplify (+ 0 1) into 1 0.776 * [backup-simplify]: Simplify (+ 0 1) into 1 0.776 * [backup-simplify]: Simplify (+ 0 1) into 1 0.776 * [backup-simplify]: Simplify (- 1) into -1 0.777 * [backup-simplify]: Simplify (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) into (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) 0.777 * [taylor]: Taking taylor expansion of 1 in a 0.777 * [backup-simplify]: Simplify 1 into 1 0.777 * [backup-simplify]: Simplify (- 1) into -1 0.777 * [backup-simplify]: Simplify (+ (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) -1) into (- (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 1) 0.777 * [backup-simplify]: Simplify (+ 1 (- (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 1)) into (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) 0.778 * [backup-simplify]: Simplify (log (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))))) into (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 0.778 * [taylor]: Taking taylor expansion of (log1p (expm1 (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))))) in a 0.778 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))))) 0.778 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))))) in a 0.778 * [taylor]: Taking taylor expansion of 1 in a 0.778 * [backup-simplify]: Simplify 1 into 1 0.778 * [taylor]: Taking taylor expansion of (expm1 (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in a 0.778 * [taylor]: Rewrote expression to (- (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 1) 0.778 * [taylor]: Taking taylor expansion of (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) in a 0.778 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in a 0.778 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 0.778 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.778 * [taylor]: Taking taylor expansion of b in a 0.778 * [backup-simplify]: Simplify b into b 0.778 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.778 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 0.778 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.778 * [taylor]: Taking taylor expansion of c in a 0.778 * [backup-simplify]: Simplify c into c 0.778 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.778 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 0.778 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.778 * [taylor]: Taking taylor expansion of d in a 0.778 * [backup-simplify]: Simplify d into d 0.778 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.778 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.778 * [taylor]: Taking taylor expansion of a in a 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 1 into 1 0.778 * [backup-simplify]: Simplify (/ 1 1) into 1 0.779 * [backup-simplify]: Simplify (+ 0 1) into 1 0.779 * [backup-simplify]: Simplify (+ 0 1) into 1 0.779 * [backup-simplify]: Simplify (+ 0 1) into 1 0.779 * [backup-simplify]: Simplify (- 1) into -1 0.779 * [backup-simplify]: Simplify (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) into (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) 0.779 * [taylor]: Taking taylor expansion of 1 in a 0.779 * [backup-simplify]: Simplify 1 into 1 0.780 * [backup-simplify]: Simplify (- 1) into -1 0.780 * [backup-simplify]: Simplify (+ (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) -1) into (- (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 1) 0.780 * [backup-simplify]: Simplify (+ 1 (- (exp (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))))) 1)) into (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) 0.780 * [backup-simplify]: Simplify (log (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))))) into (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 0.780 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.780 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.780 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.780 * [taylor]: Taking taylor expansion of b in b 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify (/ 1 1) into 1 0.781 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in b 0.781 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.781 * [taylor]: Taking taylor expansion of c in b 0.781 * [backup-simplify]: Simplify c into c 0.781 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.781 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in b 0.781 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.781 * [taylor]: Taking taylor expansion of d in b 0.781 * [backup-simplify]: Simplify d into d 0.781 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.781 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.781 * [taylor]: Taking taylor expansion of a in b 0.781 * [backup-simplify]: Simplify a into a 0.781 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.782 * [backup-simplify]: Simplify (+ (/ 1 d) (/ 1 a)) into (+ (/ 1 d) (/ 1 a)) 0.782 * [backup-simplify]: Simplify (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) into (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))) 0.782 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) into (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))) 0.782 * [backup-simplify]: Simplify (- (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) into (- (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) 0.782 * [taylor]: Taking taylor expansion of (- (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in c 0.782 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))) in c 0.782 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.782 * [taylor]: Taking taylor expansion of d in c 0.782 * [backup-simplify]: Simplify d into d 0.782 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.782 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 a)) in c 0.782 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.782 * [taylor]: Taking taylor expansion of c in c 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 1 into 1 0.782 * [backup-simplify]: Simplify (/ 1 1) into 1 0.782 * [taylor]: Taking taylor expansion of (/ 1 a) in c 0.782 * [taylor]: Taking taylor expansion of a in c 0.782 * [backup-simplify]: Simplify a into a 0.782 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.783 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 0.783 * [backup-simplify]: Simplify (+ (/ 1 d) (/ 1 a)) into (+ (/ 1 d) (/ 1 a)) 0.783 * [backup-simplify]: Simplify (- (+ (/ 1 d) (/ 1 a))) into (- (+ (/ 1 d) (/ 1 a))) 0.783 * [taylor]: Taking taylor expansion of (- (+ (/ 1 d) (/ 1 a))) in d 0.783 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in d 0.783 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.783 * [taylor]: Taking taylor expansion of d in d 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 1 into 1 0.783 * [backup-simplify]: Simplify (/ 1 1) into 1 0.783 * [taylor]: Taking taylor expansion of (/ 1 a) in d 0.783 * [taylor]: Taking taylor expansion of a in d 0.783 * [backup-simplify]: Simplify a into a 0.783 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.784 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 0.784 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 0.784 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 0.784 * [backup-simplify]: Simplify (- 0) into 0 0.784 * [backup-simplify]: Simplify (+ 0 0) into 0 0.785 * [backup-simplify]: Simplify (+ 0 0) into 0 0.785 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) 1)))) 1) into 0 0.785 * [taylor]: Taking taylor expansion of 0 in b 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [taylor]: Taking taylor expansion of 0 in c 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [taylor]: Taking taylor expansion of 0 in d 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 0.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 0.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 0.786 * [backup-simplify]: Simplify (+ 0 0) into 0 0.786 * [backup-simplify]: Simplify (+ 0 0) into 0 0.787 * [backup-simplify]: Simplify (+ 0 0) into 0 0.787 * [backup-simplify]: Simplify (- 0) into 0 0.787 * [taylor]: Taking taylor expansion of 0 in c 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [taylor]: Taking taylor expansion of 0 in d 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 0.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 0.788 * [backup-simplify]: Simplify (+ 0 0) into 0 0.788 * [backup-simplify]: Simplify (+ 0 0) into 0 0.788 * [backup-simplify]: Simplify (- 0) into 0 0.788 * [taylor]: Taking taylor expansion of 0 in d 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 0.789 * [backup-simplify]: Simplify (+ 0 0) into 0 0.789 * [backup-simplify]: Simplify (- 0) into 0 0.789 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify (- 0) into 0 0.790 * [backup-simplify]: Simplify (+ 0 0) into 0 0.790 * [backup-simplify]: Simplify (+ 0 0) into 0 0.791 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))))) 1)))) 2) into 0 0.791 * [taylor]: Taking taylor expansion of 0 in b 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [taylor]: Taking taylor expansion of 0 in c 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [taylor]: Taking taylor expansion of 0 in d 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify 0 into 0 0.792 * [taylor]: Taking taylor expansion of 0 in c 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [taylor]: Taking taylor expansion of 0 in d 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify (- (/ 1 (/ 1 (- a)))) into a 0.792 * * * [progress]: simplifying candidates 0.792 * [simplify]: Simplifying: (expm1 (+ a (+ (+ b c) d))) (log1p (+ a (+ (+ b c) d))) (* (exp a) (* (* (exp b) (exp c)) (exp d))) (* (exp a) (* (exp (+ b c)) (exp d))) (* (exp a) (exp (+ (+ b c) d))) (log (+ a (+ (+ b c) d))) (exp (+ a (+ (+ b c) d))) (* (cbrt (+ a (+ (+ b c) d))) (cbrt (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3)) (+ (* a a) (- (* (+ (+ b c) d) (+ (+ b c) d)) (* a (+ (+ b c) d)))) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (- a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ b c)) (exp (+ a (+ (+ b c) d))) (expm1 (expm1 (+ a (+ (+ b c) d)))) (log1p (expm1 (+ a (+ (+ b c) d)))) (log (expm1 (+ a (+ (+ b c) d)))) (exp (expm1 (+ a (+ (+ b c) d)))) (* (cbrt (expm1 (+ a (+ (+ b c) d)))) (cbrt (expm1 (+ a (+ (+ b c) d))))) (cbrt (expm1 (+ a (+ (+ b c) d)))) (* (* (expm1 (+ a (+ (+ b c) d))) (expm1 (+ a (+ (+ b c) d)))) (expm1 (+ a (+ (+ b c) d)))) (sqrt (expm1 (+ a (+ (+ b c) d)))) (sqrt (expm1 (+ a (+ (+ b c) d)))) (+ 1 (expm1 (+ a (+ (+ b c) d)))) (expm1 (log1p (expm1 (+ a (+ (+ b c) d))))) (log1p (log1p (expm1 (+ a (+ (+ b c) d))))) (log (log1p (expm1 (+ a (+ (+ b c) d))))) (exp (log1p (expm1 (+ a (+ (+ b c) d))))) (* (cbrt (log1p (expm1 (+ a (+ (+ b c) d))))) (cbrt (log1p (expm1 (+ a (+ (+ b c) d)))))) (cbrt (log1p (expm1 (+ a (+ (+ b c) d))))) (* (* (log1p (expm1 (+ a (+ (+ b c) d)))) (log1p (expm1 (+ a (+ (+ b c) d))))) (log1p (expm1 (+ a (+ (+ b c) d))))) (sqrt (log1p (expm1 (+ a (+ (+ b c) d))))) (sqrt (log1p (expm1 (+ a (+ (+ b c) d))))) (+ a (+ b c)) (+ d (+ b c)) (+ d (+ b c)) (+ a (+ b c)) (- (exp (+ d (+ a (+ b c)))) 1) (- (exp (+ d (+ a (+ b c)))) 1) (+ a (+ b c)) a a 0.792 * [simplify]: Sending expressions to egg_math: (expm1 (+ h0 (+ (+ h1 h2) h3))) (log1p (+ h0 (+ (+ h1 h2) h3))) (* (exp h0) (* (* (exp h1) (exp h2)) (exp h3))) (* (exp h0) (* (exp (+ h1 h2)) (exp h3))) (* (exp h0) (exp (+ (+ h1 h2) h3))) (log (+ h0 (+ (+ h1 h2) h3))) (exp (+ h0 (+ (+ h1 h2) h3))) (* (cbrt (+ h0 (+ (+ h1 h2) h3))) (cbrt (+ h0 (+ (+ h1 h2) h3)))) (cbrt (+ h0 (+ (+ h1 h2) h3))) (* (* (+ h0 (+ (+ h1 h2) h3)) (+ h0 (+ (+ h1 h2) h3))) (+ h0 (+ (+ h1 h2) h3))) (sqrt (+ h0 (+ (+ h1 h2) h3))) (sqrt (+ h0 (+ (+ h1 h2) h3))) (+ (pow h0 3) (pow (+ (+ h1 h2) h3) 3)) (+ (* h0 h0) (- (* (+ (+ h1 h2) h3) (+ (+ h1 h2) h3)) (* h0 (+ (+ h1 h2) h3)))) (- (* h0 h0) (* (+ (+ h1 h2) h3) (+ (+ h1 h2) h3))) (- h0 (+ (+ h1 h2) h3)) (+ h0 (+ (+ h1 h2) h3)) (+ h0 (+ (+ h1 h2) h3)) (+ h0 (+ (+ h1 h2) h3)) (+ h0 (+ h1 h2)) (exp (+ h0 (+ (+ h1 h2) h3))) (expm1 (expm1 (+ h0 (+ (+ h1 h2) h3)))) (log1p (expm1 (+ h0 (+ (+ h1 h2) h3)))) (log (expm1 (+ h0 (+ (+ h1 h2) h3)))) (exp (expm1 (+ h0 (+ (+ h1 h2) h3)))) (* (cbrt (expm1 (+ h0 (+ (+ h1 h2) h3)))) (cbrt (expm1 (+ h0 (+ (+ h1 h2) h3))))) (cbrt (expm1 (+ h0 (+ (+ h1 h2) h3)))) (* (* (expm1 (+ h0 (+ (+ h1 h2) h3))) (expm1 (+ h0 (+ (+ h1 h2) h3)))) (expm1 (+ h0 (+ (+ h1 h2) h3)))) (sqrt (expm1 (+ h0 (+ (+ h1 h2) h3)))) (sqrt (expm1 (+ h0 (+ (+ h1 h2) h3)))) (+ 1 (expm1 (+ h0 (+ (+ h1 h2) h3)))) (expm1 (log1p (expm1 (+ h0 (+ (+ h1 h2) h3))))) (log1p (log1p (expm1 (+ h0 (+ (+ h1 h2) h3))))) (log (log1p (expm1 (+ h0 (+ (+ h1 h2) h3))))) (exp (log1p (expm1 (+ h0 (+ (+ h1 h2) h3))))) (* (cbrt (log1p (expm1 (+ h0 (+ (+ h1 h2) h3))))) (cbrt (log1p (expm1 (+ h0 (+ (+ h1 h2) h3)))))) (cbrt (log1p (expm1 (+ h0 (+ (+ h1 h2) h3))))) (* (* (log1p (expm1 (+ h0 (+ (+ h1 h2) h3)))) (log1p (expm1 (+ h0 (+ (+ h1 h2) h3))))) (log1p (expm1 (+ h0 (+ (+ h1 h2) h3))))) (sqrt (log1p (expm1 (+ h0 (+ (+ h1 h2) h3))))) (sqrt (log1p (expm1 (+ h0 (+ (+ h1 h2) h3))))) (+ h0 (+ h1 h2)) (+ h3 (+ h1 h2)) (+ h3 (+ h1 h2)) (+ h0 (+ h1 h2)) (- (exp (+ h3 (+ h0 (+ h1 h2)))) 1) (- (exp (+ h3 (+ h0 (+ h1 h2)))) 1) (+ h0 (+ h1 h2)) h0 h0 0.796 * * [simplify]: iteration 0 : 152 enodes (cost 227 ) 0.799 * * [simplify]: iteration 1 : 603 enodes (cost 203 ) 0.811 * * [simplify]: iteration 2 : 4049 enodes (cost 202 ) 0.870 * * [simplify]: iteration 3 : 5001 enodes (cost 202 ) 0.872 * * * [progress]: adding candidates to table 0.967 * * [progress]: iteration 4 / 4 0.968 * * * [progress]: picking best candidate 1.003 * * * * [pick]: Picked # 1.003 * * * [progress]: localizing error 1.010 * * * [progress]: generating rewritten candidates 1.010 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 1.089 * * * [progress]: generating series expansions 1.089 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 1.090 * [backup-simplify]: Simplify (+ a (+ (+ b c) d)) into (+ d (+ a (+ b c))) 1.090 * [approximate]: Taking taylor expansion of (+ d (+ a (+ b c))) in (a b c d) around 0 1.090 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 1.090 * [taylor]: Taking taylor expansion of d in d 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify 1 into 1 1.090 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in d 1.090 * [taylor]: Taking taylor expansion of a in d 1.090 * [backup-simplify]: Simplify a into a 1.090 * [taylor]: Taking taylor expansion of (+ b c) in d 1.090 * [taylor]: Taking taylor expansion of b in d 1.090 * [backup-simplify]: Simplify b into b 1.090 * [taylor]: Taking taylor expansion of c in d 1.090 * [backup-simplify]: Simplify c into c 1.090 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 1.090 * [taylor]: Taking taylor expansion of d in c 1.090 * [backup-simplify]: Simplify d into d 1.090 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in c 1.090 * [taylor]: Taking taylor expansion of a in c 1.090 * [backup-simplify]: Simplify a into a 1.090 * [taylor]: Taking taylor expansion of (+ b c) in c 1.090 * [taylor]: Taking taylor expansion of b in c 1.090 * [backup-simplify]: Simplify b into b 1.090 * [taylor]: Taking taylor expansion of c in c 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify 1 into 1 1.090 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in b 1.090 * [taylor]: Taking taylor expansion of d in b 1.090 * [backup-simplify]: Simplify d into d 1.090 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in b 1.090 * [taylor]: Taking taylor expansion of a in b 1.090 * [backup-simplify]: Simplify a into a 1.090 * [taylor]: Taking taylor expansion of (+ b c) in b 1.090 * [taylor]: Taking taylor expansion of b in b 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify 1 into 1 1.090 * [taylor]: Taking taylor expansion of c in b 1.090 * [backup-simplify]: Simplify c into c 1.090 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in a 1.090 * [taylor]: Taking taylor expansion of d in a 1.090 * [backup-simplify]: Simplify d into d 1.090 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in a 1.090 * [taylor]: Taking taylor expansion of a in a 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify 1 into 1 1.090 * [taylor]: Taking taylor expansion of (+ b c) in a 1.090 * [taylor]: Taking taylor expansion of b in a 1.090 * [backup-simplify]: Simplify b into b 1.090 * [taylor]: Taking taylor expansion of c in a 1.090 * [backup-simplify]: Simplify c into c 1.090 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in a 1.090 * [taylor]: Taking taylor expansion of d in a 1.090 * [backup-simplify]: Simplify d into d 1.090 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in a 1.090 * [taylor]: Taking taylor expansion of a in a 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify 1 into 1 1.090 * [taylor]: Taking taylor expansion of (+ b c) in a 1.090 * [taylor]: Taking taylor expansion of b in a 1.090 * [backup-simplify]: Simplify b into b 1.090 * [taylor]: Taking taylor expansion of c in a 1.090 * [backup-simplify]: Simplify c into c 1.091 * [backup-simplify]: Simplify (+ b c) into (+ b c) 1.091 * [backup-simplify]: Simplify (+ 0 (+ b c)) into (+ c b) 1.091 * [backup-simplify]: Simplify (+ d (+ c b)) into (+ d (+ b c)) 1.091 * [taylor]: Taking taylor expansion of (+ d (+ b c)) in b 1.091 * [taylor]: Taking taylor expansion of d in b 1.091 * [backup-simplify]: Simplify d into d 1.091 * [taylor]: Taking taylor expansion of (+ b c) in b 1.091 * [taylor]: Taking taylor expansion of b in b 1.091 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify 1 into 1 1.091 * [taylor]: Taking taylor expansion of c in b 1.091 * [backup-simplify]: Simplify c into c 1.091 * [backup-simplify]: Simplify (+ 0 c) into c 1.091 * [backup-simplify]: Simplify (+ d c) into (+ d c) 1.091 * [taylor]: Taking taylor expansion of (+ d c) in c 1.091 * [taylor]: Taking taylor expansion of d in c 1.091 * [backup-simplify]: Simplify d into d 1.091 * [taylor]: Taking taylor expansion of c in c 1.091 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify 1 into 1 1.091 * [backup-simplify]: Simplify (+ d 0) into d 1.091 * [taylor]: Taking taylor expansion of d in d 1.091 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify 1 into 1 1.091 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify (+ 0 0) into 0 1.092 * [backup-simplify]: Simplify (+ 1 0) into 1 1.092 * [backup-simplify]: Simplify (+ 0 1) into 1 1.092 * [taylor]: Taking taylor expansion of 1 in b 1.092 * [backup-simplify]: Simplify 1 into 1 1.092 * [taylor]: Taking taylor expansion of 1 in c 1.092 * [backup-simplify]: Simplify 1 into 1 1.092 * [taylor]: Taking taylor expansion of 1 in d 1.092 * [backup-simplify]: Simplify 1 into 1 1.092 * [backup-simplify]: Simplify 1 into 1 1.092 * [backup-simplify]: Simplify (+ 1 0) into 1 1.093 * [backup-simplify]: Simplify (+ 0 1) into 1 1.093 * [taylor]: Taking taylor expansion of 1 in c 1.093 * [backup-simplify]: Simplify 1 into 1 1.093 * [taylor]: Taking taylor expansion of 1 in d 1.093 * [backup-simplify]: Simplify 1 into 1 1.093 * [backup-simplify]: Simplify 1 into 1 1.093 * [backup-simplify]: Simplify (+ 0 1) into 1 1.093 * [taylor]: Taking taylor expansion of 1 in d 1.093 * [backup-simplify]: Simplify 1 into 1 1.093 * [backup-simplify]: Simplify 1 into 1 1.093 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* c (* 1 1)))) (+ (* 1 (* 1 (* 1 (* b 1)))) (* 1 (* 1 (* 1 (* 1 a)))))) into (+ a (+ b c)) 1.094 * [backup-simplify]: Simplify (+ (/ 1 a) (+ (+ (/ 1 b) (/ 1 c)) (/ 1 d))) into (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) 1.094 * [approximate]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in (a b c d) around 0 1.094 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 1.094 * [taylor]: Taking taylor expansion of (/ 1 b) in d 1.094 * [taylor]: Taking taylor expansion of b in d 1.094 * [backup-simplify]: Simplify b into b 1.094 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.094 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in d 1.094 * [taylor]: Taking taylor expansion of (/ 1 c) in d 1.094 * [taylor]: Taking taylor expansion of c in d 1.094 * [backup-simplify]: Simplify c into c 1.094 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 1.094 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in d 1.094 * [taylor]: Taking taylor expansion of (/ 1 d) in d 1.094 * [taylor]: Taking taylor expansion of d in d 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 1 into 1 1.094 * [backup-simplify]: Simplify (/ 1 1) into 1 1.094 * [taylor]: Taking taylor expansion of (/ 1 a) in d 1.094 * [taylor]: Taking taylor expansion of a in d 1.094 * [backup-simplify]: Simplify a into a 1.094 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.094 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 1.094 * [taylor]: Taking taylor expansion of (/ 1 b) in c 1.094 * [taylor]: Taking taylor expansion of b in c 1.094 * [backup-simplify]: Simplify b into b 1.094 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.094 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in c 1.094 * [taylor]: Taking taylor expansion of (/ 1 c) in c 1.094 * [taylor]: Taking taylor expansion of c in c 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 1 into 1 1.095 * [backup-simplify]: Simplify (/ 1 1) into 1 1.095 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in c 1.095 * [taylor]: Taking taylor expansion of (/ 1 d) in c 1.095 * [taylor]: Taking taylor expansion of d in c 1.095 * [backup-simplify]: Simplify d into d 1.095 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 1.095 * [taylor]: Taking taylor expansion of (/ 1 a) in c 1.095 * [taylor]: Taking taylor expansion of a in c 1.095 * [backup-simplify]: Simplify a into a 1.095 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.095 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 1.095 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.095 * [taylor]: Taking taylor expansion of b in b 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify 1 into 1 1.095 * [backup-simplify]: Simplify (/ 1 1) into 1 1.095 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in b 1.095 * [taylor]: Taking taylor expansion of (/ 1 c) in b 1.095 * [taylor]: Taking taylor expansion of c in b 1.095 * [backup-simplify]: Simplify c into c 1.095 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 1.095 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in b 1.095 * [taylor]: Taking taylor expansion of (/ 1 d) in b 1.095 * [taylor]: Taking taylor expansion of d in b 1.095 * [backup-simplify]: Simplify d into d 1.095 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 1.095 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.095 * [taylor]: Taking taylor expansion of a in b 1.095 * [backup-simplify]: Simplify a into a 1.095 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.095 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 1.095 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.095 * [taylor]: Taking taylor expansion of b in a 1.095 * [backup-simplify]: Simplify b into b 1.095 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.095 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 1.095 * [taylor]: Taking taylor expansion of (/ 1 c) in a 1.096 * [taylor]: Taking taylor expansion of c in a 1.096 * [backup-simplify]: Simplify c into c 1.096 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 1.096 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 1.096 * [taylor]: Taking taylor expansion of (/ 1 d) in a 1.096 * [taylor]: Taking taylor expansion of d in a 1.096 * [backup-simplify]: Simplify d into d 1.096 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 1.096 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.096 * [taylor]: Taking taylor expansion of a in a 1.096 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify 1 into 1 1.096 * [backup-simplify]: Simplify (/ 1 1) into 1 1.096 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 1.096 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.096 * [taylor]: Taking taylor expansion of b in a 1.096 * [backup-simplify]: Simplify b into b 1.096 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.096 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 1.096 * [taylor]: Taking taylor expansion of (/ 1 c) in a 1.096 * [taylor]: Taking taylor expansion of c in a 1.096 * [backup-simplify]: Simplify c into c 1.096 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 1.096 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 1.096 * [taylor]: Taking taylor expansion of (/ 1 d) in a 1.096 * [taylor]: Taking taylor expansion of d in a 1.096 * [backup-simplify]: Simplify d into d 1.096 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 1.096 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.096 * [taylor]: Taking taylor expansion of a in a 1.096 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify 1 into 1 1.096 * [backup-simplify]: Simplify (/ 1 1) into 1 1.097 * [backup-simplify]: Simplify (+ 0 1) into 1 1.097 * [backup-simplify]: Simplify (+ 0 1) into 1 1.097 * [backup-simplify]: Simplify (+ 0 1) into 1 1.097 * [taylor]: Taking taylor expansion of 1 in b 1.097 * [backup-simplify]: Simplify 1 into 1 1.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.098 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 1.098 * [backup-simplify]: Simplify (+ (/ 1 c) (/ 1 d)) into (+ (/ 1 d) (/ 1 c)) 1.098 * [backup-simplify]: Simplify (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) into (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) 1.098 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) in b 1.098 * [taylor]: Taking taylor expansion of (/ 1 d) in b 1.098 * [taylor]: Taking taylor expansion of d in b 1.098 * [backup-simplify]: Simplify d into d 1.098 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 1.098 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 b)) in b 1.098 * [taylor]: Taking taylor expansion of (/ 1 c) in b 1.098 * [taylor]: Taking taylor expansion of c in b 1.098 * [backup-simplify]: Simplify c into c 1.098 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 1.098 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.098 * [taylor]: Taking taylor expansion of b in b 1.098 * [backup-simplify]: Simplify 0 into 0 1.098 * [backup-simplify]: Simplify 1 into 1 1.098 * [backup-simplify]: Simplify (/ 1 1) into 1 1.099 * [backup-simplify]: Simplify (+ 0 1) into 1 1.099 * [backup-simplify]: Simplify (+ 0 1) into 1 1.099 * [taylor]: Taking taylor expansion of 1 in c 1.099 * [backup-simplify]: Simplify 1 into 1 1.099 * [taylor]: Taking taylor expansion of 1 in c 1.099 * [backup-simplify]: Simplify 1 into 1 1.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 1.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 1.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.100 * [backup-simplify]: Simplify (+ 0 0) into 0 1.100 * [backup-simplify]: Simplify (+ 0 0) into 0 1.100 * [backup-simplify]: Simplify (+ 0 0) into 0 1.100 * [taylor]: Taking taylor expansion of 0 in b 1.100 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.101 * [backup-simplify]: Simplify (+ (/ 1 c) 0) into (/ 1 c) 1.101 * [backup-simplify]: Simplify (+ (/ 1 d) (/ 1 c)) into (+ (/ 1 c) (/ 1 d)) 1.101 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 d)) in c 1.101 * [taylor]: Taking taylor expansion of (/ 1 c) in c 1.101 * [taylor]: Taking taylor expansion of c in c 1.101 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify 1 into 1 1.101 * [backup-simplify]: Simplify (/ 1 1) into 1 1.101 * [taylor]: Taking taylor expansion of (/ 1 d) in c 1.101 * [taylor]: Taking taylor expansion of d in c 1.101 * [backup-simplify]: Simplify d into d 1.101 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 1.101 * [backup-simplify]: Simplify (+ 1 0) into 1 1.101 * [taylor]: Taking taylor expansion of 1 in d 1.101 * [backup-simplify]: Simplify 1 into 1 1.102 * [taylor]: Taking taylor expansion of 0 in c 1.102 * [backup-simplify]: Simplify 0 into 0 1.102 * [taylor]: Taking taylor expansion of 1 in d 1.102 * [backup-simplify]: Simplify 1 into 1 1.102 * [taylor]: Taking taylor expansion of 1 in d 1.102 * [backup-simplify]: Simplify 1 into 1 1.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 1.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 1.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 1.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.103 * [backup-simplify]: Simplify (+ 0 0) into 0 1.103 * [backup-simplify]: Simplify (+ 0 0) into 0 1.103 * [backup-simplify]: Simplify (+ 0 0) into 0 1.103 * [taylor]: Taking taylor expansion of 0 in b 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [taylor]: Taking taylor expansion of 0 in c 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 1.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 1.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.104 * [backup-simplify]: Simplify (+ 0 0) into 0 1.104 * [backup-simplify]: Simplify (+ 0 0) into 0 1.104 * [taylor]: Taking taylor expansion of 0 in c 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * [taylor]: Taking taylor expansion of 0 in c 1.104 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.105 * [backup-simplify]: Simplify (+ 0 (/ 1 d)) into (/ 1 d) 1.105 * [taylor]: Taking taylor expansion of (/ 1 d) in d 1.105 * [taylor]: Taking taylor expansion of d in d 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 1 into 1 1.105 * [backup-simplify]: Simplify (/ 1 1) into 1 1.105 * [backup-simplify]: Simplify 1 into 1 1.105 * [taylor]: Taking taylor expansion of 0 in d 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [taylor]: Taking taylor expansion of 0 in d 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [taylor]: Taking taylor expansion of 0 in d 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 1 into 1 1.105 * [backup-simplify]: Simplify 1 into 1 1.106 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 b)) 1)))) (+ (* 1 (* 1 (* (/ 1 (/ 1 c)) (* 1 1)))) (* 1 (* (/ 1 (/ 1 d)) (* 1 (* 1 1)))))) into (+ d (+ b c)) 1.106 * [backup-simplify]: Simplify (+ (/ 1 (- a)) (+ (+ (/ 1 (- b)) (/ 1 (- c))) (/ 1 (- d)))) into (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) 1.106 * [approximate]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in (a b c d) around 0 1.106 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 1.106 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 1.106 * [taylor]: Taking taylor expansion of (/ 1 b) in d 1.106 * [taylor]: Taking taylor expansion of b in d 1.106 * [backup-simplify]: Simplify b into b 1.106 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.106 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in d 1.106 * [taylor]: Taking taylor expansion of (/ 1 c) in d 1.106 * [taylor]: Taking taylor expansion of c in d 1.106 * [backup-simplify]: Simplify c into c 1.106 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 1.106 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in d 1.106 * [taylor]: Taking taylor expansion of (/ 1 d) in d 1.106 * [taylor]: Taking taylor expansion of d in d 1.106 * [backup-simplify]: Simplify 0 into 0 1.106 * [backup-simplify]: Simplify 1 into 1 1.107 * [backup-simplify]: Simplify (/ 1 1) into 1 1.107 * [taylor]: Taking taylor expansion of (/ 1 a) in d 1.107 * [taylor]: Taking taylor expansion of a in d 1.107 * [backup-simplify]: Simplify a into a 1.107 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.107 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 1.107 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 1.107 * [taylor]: Taking taylor expansion of (/ 1 b) in c 1.107 * [taylor]: Taking taylor expansion of b in c 1.107 * [backup-simplify]: Simplify b into b 1.107 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.107 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in c 1.107 * [taylor]: Taking taylor expansion of (/ 1 c) in c 1.107 * [taylor]: Taking taylor expansion of c in c 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 1 into 1 1.107 * [backup-simplify]: Simplify (/ 1 1) into 1 1.107 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in c 1.107 * [taylor]: Taking taylor expansion of (/ 1 d) in c 1.107 * [taylor]: Taking taylor expansion of d in c 1.107 * [backup-simplify]: Simplify d into d 1.107 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 1.107 * [taylor]: Taking taylor expansion of (/ 1 a) in c 1.107 * [taylor]: Taking taylor expansion of a in c 1.107 * [backup-simplify]: Simplify a into a 1.107 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.107 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 1.107 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 1.107 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.107 * [taylor]: Taking taylor expansion of b in b 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 1 into 1 1.108 * [backup-simplify]: Simplify (/ 1 1) into 1 1.108 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in b 1.108 * [taylor]: Taking taylor expansion of (/ 1 c) in b 1.108 * [taylor]: Taking taylor expansion of c in b 1.108 * [backup-simplify]: Simplify c into c 1.108 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 1.108 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in b 1.108 * [taylor]: Taking taylor expansion of (/ 1 d) in b 1.108 * [taylor]: Taking taylor expansion of d in b 1.108 * [backup-simplify]: Simplify d into d 1.108 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 1.108 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.108 * [taylor]: Taking taylor expansion of a in b 1.108 * [backup-simplify]: Simplify a into a 1.108 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.108 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in a 1.108 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 1.108 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.108 * [taylor]: Taking taylor expansion of b in a 1.108 * [backup-simplify]: Simplify b into b 1.108 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.108 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 1.108 * [taylor]: Taking taylor expansion of (/ 1 c) in a 1.108 * [taylor]: Taking taylor expansion of c in a 1.108 * [backup-simplify]: Simplify c into c 1.108 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 1.108 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 1.108 * [taylor]: Taking taylor expansion of (/ 1 d) in a 1.108 * [taylor]: Taking taylor expansion of d in a 1.108 * [backup-simplify]: Simplify d into d 1.108 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 1.108 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.108 * [taylor]: Taking taylor expansion of a in a 1.108 * [backup-simplify]: Simplify 0 into 0 1.108 * [backup-simplify]: Simplify 1 into 1 1.108 * [backup-simplify]: Simplify (/ 1 1) into 1 1.108 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in a 1.108 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 1.108 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.108 * [taylor]: Taking taylor expansion of b in a 1.108 * [backup-simplify]: Simplify b into b 1.109 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.109 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 1.109 * [taylor]: Taking taylor expansion of (/ 1 c) in a 1.109 * [taylor]: Taking taylor expansion of c in a 1.109 * [backup-simplify]: Simplify c into c 1.109 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 1.109 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 1.109 * [taylor]: Taking taylor expansion of (/ 1 d) in a 1.109 * [taylor]: Taking taylor expansion of d in a 1.109 * [backup-simplify]: Simplify d into d 1.109 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 1.109 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.109 * [taylor]: Taking taylor expansion of a in a 1.109 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify 1 into 1 1.109 * [backup-simplify]: Simplify (/ 1 1) into 1 1.109 * [backup-simplify]: Simplify (+ 0 1) into 1 1.109 * [backup-simplify]: Simplify (+ 0 1) into 1 1.110 * [backup-simplify]: Simplify (+ 0 1) into 1 1.110 * [backup-simplify]: Simplify (- 1) into -1 1.110 * [taylor]: Taking taylor expansion of -1 in b 1.110 * [backup-simplify]: Simplify -1 into -1 1.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.110 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 1.111 * [backup-simplify]: Simplify (+ (/ 1 c) (/ 1 d)) into (+ (/ 1 d) (/ 1 c)) 1.111 * [backup-simplify]: Simplify (+ (/ 1 b) (+ (/ 1 d) (/ 1 c))) into (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) 1.111 * [backup-simplify]: Simplify (- (+ (/ 1 d) (+ (/ 1 c) (/ 1 b)))) into (- (+ (/ 1 d) (+ (/ 1 c) (/ 1 b)))) 1.111 * [taylor]: Taking taylor expansion of (- (+ (/ 1 d) (+ (/ 1 c) (/ 1 b)))) in b 1.111 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) in b 1.111 * [taylor]: Taking taylor expansion of (/ 1 d) in b 1.111 * [taylor]: Taking taylor expansion of d in b 1.111 * [backup-simplify]: Simplify d into d 1.111 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 1.111 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 b)) in b 1.111 * [taylor]: Taking taylor expansion of (/ 1 c) in b 1.111 * [taylor]: Taking taylor expansion of c in b 1.111 * [backup-simplify]: Simplify c into c 1.111 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 1.111 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.111 * [taylor]: Taking taylor expansion of b in b 1.111 * [backup-simplify]: Simplify 0 into 0 1.111 * [backup-simplify]: Simplify 1 into 1 1.111 * [backup-simplify]: Simplify (/ 1 1) into 1 1.111 * [backup-simplify]: Simplify (+ 0 1) into 1 1.112 * [backup-simplify]: Simplify (+ 0 1) into 1 1.112 * [backup-simplify]: Simplify (- 1) into -1 1.112 * [taylor]: Taking taylor expansion of -1 in c 1.112 * [backup-simplify]: Simplify -1 into -1 1.112 * [taylor]: Taking taylor expansion of -1 in c 1.112 * [backup-simplify]: Simplify -1 into -1 1.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 1.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 1.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.113 * [backup-simplify]: Simplify (+ 0 0) into 0 1.113 * [backup-simplify]: Simplify (+ 0 0) into 0 1.113 * [backup-simplify]: Simplify (+ 0 0) into 0 1.114 * [backup-simplify]: Simplify (- 0) into 0 1.114 * [taylor]: Taking taylor expansion of 0 in b 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.114 * [backup-simplify]: Simplify (+ (/ 1 c) 0) into (/ 1 c) 1.114 * [backup-simplify]: Simplify (+ (/ 1 d) (/ 1 c)) into (+ (/ 1 c) (/ 1 d)) 1.114 * [backup-simplify]: Simplify (- (+ (/ 1 c) (/ 1 d))) into (- (+ (/ 1 c) (/ 1 d))) 1.114 * [taylor]: Taking taylor expansion of (- (+ (/ 1 c) (/ 1 d))) in c 1.114 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 d)) in c 1.114 * [taylor]: Taking taylor expansion of (/ 1 c) in c 1.114 * [taylor]: Taking taylor expansion of c in c 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify 1 into 1 1.114 * [backup-simplify]: Simplify (/ 1 1) into 1 1.115 * [taylor]: Taking taylor expansion of (/ 1 d) in c 1.115 * [taylor]: Taking taylor expansion of d in c 1.115 * [backup-simplify]: Simplify d into d 1.115 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 1.115 * [backup-simplify]: Simplify (+ 1 0) into 1 1.115 * [backup-simplify]: Simplify (- 1) into -1 1.115 * [taylor]: Taking taylor expansion of -1 in d 1.115 * [backup-simplify]: Simplify -1 into -1 1.115 * [taylor]: Taking taylor expansion of 0 in c 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [taylor]: Taking taylor expansion of -1 in d 1.115 * [backup-simplify]: Simplify -1 into -1 1.115 * [taylor]: Taking taylor expansion of -1 in d 1.115 * [backup-simplify]: Simplify -1 into -1 1.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 1.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 1.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 1.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.116 * [backup-simplify]: Simplify (+ 0 0) into 0 1.116 * [backup-simplify]: Simplify (+ 0 0) into 0 1.117 * [backup-simplify]: Simplify (+ 0 0) into 0 1.117 * [backup-simplify]: Simplify (- 0) into 0 1.117 * [taylor]: Taking taylor expansion of 0 in b 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [taylor]: Taking taylor expansion of 0 in c 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 1.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 1.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.118 * [backup-simplify]: Simplify (+ 0 0) into 0 1.118 * [backup-simplify]: Simplify (+ 0 0) into 0 1.118 * [backup-simplify]: Simplify (- 0) into 0 1.118 * [taylor]: Taking taylor expansion of 0 in c 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [taylor]: Taking taylor expansion of 0 in c 1.118 * [backup-simplify]: Simplify 0 into 0 1.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.119 * [backup-simplify]: Simplify (+ 0 (/ 1 d)) into (/ 1 d) 1.119 * [backup-simplify]: Simplify (- (/ 1 d)) into (- (/ 1 d)) 1.119 * [taylor]: Taking taylor expansion of (- (/ 1 d)) in d 1.119 * [taylor]: Taking taylor expansion of (/ 1 d) in d 1.119 * [taylor]: Taking taylor expansion of d in d 1.119 * [backup-simplify]: Simplify 0 into 0 1.119 * [backup-simplify]: Simplify 1 into 1 1.119 * [backup-simplify]: Simplify (/ 1 1) into 1 1.119 * [backup-simplify]: Simplify (- 1) into -1 1.119 * [backup-simplify]: Simplify -1 into -1 1.119 * [taylor]: Taking taylor expansion of 0 in d 1.119 * [backup-simplify]: Simplify 0 into 0 1.119 * [taylor]: Taking taylor expansion of 0 in d 1.119 * [backup-simplify]: Simplify 0 into 0 1.119 * [taylor]: Taking taylor expansion of 0 in d 1.119 * [backup-simplify]: Simplify 0 into 0 1.119 * [backup-simplify]: Simplify -1 into -1 1.119 * [backup-simplify]: Simplify -1 into -1 1.120 * [backup-simplify]: Simplify (+ (* -1 (* 1 (* 1 (* (/ 1 (/ 1 (- b))) 1)))) (+ (* -1 (* 1 (* (/ 1 (/ 1 (- c))) (* 1 1)))) (* -1 (* (/ 1 (/ 1 (- d))) (* 1 (* 1 1)))))) into (+ d (+ b c)) 1.120 * * * [progress]: simplifying candidates 1.121 * [simplify]: Simplifying: (expm1 (+ a (+ (+ b c) d))) (log1p (+ a (+ (+ b c) d))) (* (exp a) (* (* (exp b) (exp c)) (exp d))) (* (exp a) (* (exp (+ b c)) (exp d))) (* (exp a) (exp (+ (+ b c) d))) (log (+ a (+ (+ b c) d))) (exp (+ a (+ (+ b c) d))) (* (cbrt (+ a (+ (+ b c) d))) (cbrt (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3)) (+ (* a a) (- (* (+ (+ b c) d) (+ (+ b c) d)) (* a (+ (+ b c) d)))) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (- a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ b c)) (+ a (+ b c)) (+ d (+ b c)) (+ d (+ b c)) 1.121 * [simplify]: Sending expressions to egg_math: (expm1 (+ h0 (+ (+ h1 h2) h3))) (log1p (+ h0 (+ (+ h1 h2) h3))) (* (exp h0) (* (* (exp h1) (exp h2)) (exp h3))) (* (exp h0) (* (exp (+ h1 h2)) (exp h3))) (* (exp h0) (exp (+ (+ h1 h2) h3))) (log (+ h0 (+ (+ h1 h2) h3))) (exp (+ h0 (+ (+ h1 h2) h3))) (* (cbrt (+ h0 (+ (+ h1 h2) h3))) (cbrt (+ h0 (+ (+ h1 h2) h3)))) (cbrt (+ h0 (+ (+ h1 h2) h3))) (* (* (+ h0 (+ (+ h1 h2) h3)) (+ h0 (+ (+ h1 h2) h3))) (+ h0 (+ (+ h1 h2) h3))) (sqrt (+ h0 (+ (+ h1 h2) h3))) (sqrt (+ h0 (+ (+ h1 h2) h3))) (+ (pow h0 3) (pow (+ (+ h1 h2) h3) 3)) (+ (* h0 h0) (- (* (+ (+ h1 h2) h3) (+ (+ h1 h2) h3)) (* h0 (+ (+ h1 h2) h3)))) (- (* h0 h0) (* (+ (+ h1 h2) h3) (+ (+ h1 h2) h3))) (- h0 (+ (+ h1 h2) h3)) (+ h0 (+ (+ h1 h2) h3)) (+ h0 (+ (+ h1 h2) h3)) (+ h0 (+ (+ h1 h2) h3)) (+ h0 (+ h1 h2)) (+ h0 (+ h1 h2)) (+ h3 (+ h1 h2)) (+ h3 (+ h1 h2)) 1.124 * * [simplify]: iteration 0 : 117 enodes (cost 100 ) 1.127 * * [simplify]: iteration 1 : 484 enodes (cost 92 ) 1.139 * * [simplify]: iteration 2 : 3174 enodes (cost 92 ) 1.186 * * [simplify]: iteration 3 : 5002 enodes (cost 92 ) 1.187 * * * [progress]: adding candidates to table 1.218 * [progress]: [Phase 3 of 3] Extracting. 1.218 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # #) 1.223 * * * [regime-changes]: Trying 6 branch expressions: ((+ c d) (+ b (+ c d)) d c b a) 1.223 * * * * [regimes]: Trying to branch on (+ c d) from (# # # # # # # # # # # # # # # #) 1.275 * * * * [regimes]: Trying to branch on (+ c d) from (# # #) 1.293 * * * * [regimes]: Trying to branch on (+ b (+ c d)) from (# # # # # # # # # # # # # # # #) 1.345 * * * * [regimes]: Trying to branch on (+ b (+ c d)) from (# # #) 1.363 * * * * [regimes]: Trying to branch on d from (# # # # # # # # # # # # # # # #) 1.414 * * * * [regimes]: Trying to branch on c from (# # # # # # # # # # # # # # # #) 1.466 * * * * [regimes]: Trying to branch on b from (# # # # # # # # # # # # # # # #) 1.518 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # # # # # # #) 1.571 * * * [regime]: Found split indices: #