17.890 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.034 * * * [progress]: [2/2] Setting up program. 0.038 * [progress]: [Phase 2 of 3] Improving. 0.038 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.038 * [simplify]: Simplifying: (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) 0.038 * * [simplify]: iteration 0: 11 enodes 0.041 * * [simplify]: iteration 1: 15 enodes 0.044 * * [simplify]: iteration complete: 15 enodes 0.044 * * [simplify]: Extracting #0: cost 1 inf + 0 0.045 * * [simplify]: Extracting #1: cost 3 inf + 0 0.045 * * [simplify]: Extracting #2: cost 7 inf + 0 0.045 * * [simplify]: Extracting #3: cost 11 inf + 0 0.045 * * [simplify]: Extracting #4: cost 3 inf + 250 0.045 * * [simplify]: Extracting #5: cost 0 inf + 700 0.045 * [simplify]: Simplified to: (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) 0.050 * * [progress]: iteration 1 / 4 0.050 * * * [progress]: picking best candidate 0.054 * * * * [pick]: Picked # 0.054 * * * [progress]: localizing error 0.097 * * * [progress]: generating rewritten candidates 0.097 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.139 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.147 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.158 * * * [progress]: generating series expansions 0.158 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.158 * [backup-simplify]: Simplify (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) into (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) 0.158 * [approximate]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in (a c b d) around 0 0.158 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in d 0.158 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d 0.158 * [taylor]: Taking taylor expansion of (* a c) in d 0.158 * [taylor]: Taking taylor expansion of a in d 0.158 * [backup-simplify]: Simplify a into a 0.158 * [taylor]: Taking taylor expansion of c in d 0.158 * [backup-simplify]: Simplify c into c 0.158 * [taylor]: Taking taylor expansion of (* b d) in d 0.158 * [taylor]: Taking taylor expansion of b in d 0.158 * [backup-simplify]: Simplify b into b 0.158 * [taylor]: Taking taylor expansion of d in d 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 0.159 * [taylor]: Taking taylor expansion of (pow c 2) in d 0.159 * [taylor]: Taking taylor expansion of c in d 0.159 * [backup-simplify]: Simplify c into c 0.159 * [taylor]: Taking taylor expansion of (pow d 2) in d 0.159 * [taylor]: Taking taylor expansion of d in d 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (* a c) into (* a c) 0.159 * [backup-simplify]: Simplify (* b 0) into 0 0.159 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c) 0.159 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.159 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 0.159 * [backup-simplify]: Simplify (/ (* a c) (pow c 2)) into (/ a c) 0.159 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in b 0.159 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b 0.159 * [taylor]: Taking taylor expansion of (* a c) in b 0.159 * [taylor]: Taking taylor expansion of a in b 0.159 * [backup-simplify]: Simplify a into a 0.159 * [taylor]: Taking taylor expansion of c in b 0.159 * [backup-simplify]: Simplify c into c 0.159 * [taylor]: Taking taylor expansion of (* b d) in b 0.159 * [taylor]: Taking taylor expansion of b in b 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [taylor]: Taking taylor expansion of d in b 0.159 * [backup-simplify]: Simplify d into d 0.159 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b 0.159 * [taylor]: Taking taylor expansion of (pow c 2) in b 0.159 * [taylor]: Taking taylor expansion of c in b 0.159 * [backup-simplify]: Simplify c into c 0.159 * [taylor]: Taking taylor expansion of (pow d 2) in b 0.159 * [taylor]: Taking taylor expansion of d in b 0.159 * [backup-simplify]: Simplify d into d 0.159 * [backup-simplify]: Simplify (* a c) into (* a c) 0.159 * [backup-simplify]: Simplify (* 0 d) into 0 0.159 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c) 0.159 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.159 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.159 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 0.160 * [backup-simplify]: Simplify (/ (* a c) (+ (pow c 2) (pow d 2))) into (/ (* a c) (+ (pow c 2) (pow d 2))) 0.160 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in c 0.160 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c 0.160 * [taylor]: Taking taylor expansion of (* a c) in c 0.160 * [taylor]: Taking taylor expansion of a in c 0.160 * [backup-simplify]: Simplify a into a 0.160 * [taylor]: Taking taylor expansion of c in c 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [taylor]: Taking taylor expansion of (* b d) in c 0.160 * [taylor]: Taking taylor expansion of b in c 0.160 * [backup-simplify]: Simplify b into b 0.160 * [taylor]: Taking taylor expansion of d in c 0.160 * [backup-simplify]: Simplify d into d 0.160 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 0.160 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.160 * [taylor]: Taking taylor expansion of c in c 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.160 * [taylor]: Taking taylor expansion of d in c 0.160 * [backup-simplify]: Simplify d into d 0.160 * [backup-simplify]: Simplify (* a 0) into 0 0.160 * [backup-simplify]: Simplify (* b d) into (* b d) 0.160 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 0.160 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.160 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 0.160 * [backup-simplify]: Simplify (/ (* b d) (pow d 2)) into (/ b d) 0.160 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in a 0.160 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 0.160 * [taylor]: Taking taylor expansion of (* a c) in a 0.160 * [taylor]: Taking taylor expansion of a in a 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [taylor]: Taking taylor expansion of c in a 0.160 * [backup-simplify]: Simplify c into c 0.160 * [taylor]: Taking taylor expansion of (* b d) in a 0.160 * [taylor]: Taking taylor expansion of b in a 0.160 * [backup-simplify]: Simplify b into b 0.160 * [taylor]: Taking taylor expansion of d in a 0.160 * [backup-simplify]: Simplify d into d 0.160 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a 0.160 * [taylor]: Taking taylor expansion of (pow c 2) in a 0.160 * [taylor]: Taking taylor expansion of c in a 0.160 * [backup-simplify]: Simplify c into c 0.160 * [taylor]: Taking taylor expansion of (pow d 2) in a 0.160 * [taylor]: Taking taylor expansion of d in a 0.160 * [backup-simplify]: Simplify d into d 0.161 * [backup-simplify]: Simplify (* 0 c) into 0 0.161 * [backup-simplify]: Simplify (* b d) into (* b d) 0.161 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 0.161 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.161 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.161 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 0.161 * [backup-simplify]: Simplify (/ (* b d) (+ (pow c 2) (pow d 2))) into (/ (* b d) (+ (pow c 2) (pow d 2))) 0.161 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in a 0.161 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 0.161 * [taylor]: Taking taylor expansion of (* a c) in a 0.161 * [taylor]: Taking taylor expansion of a in a 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [taylor]: Taking taylor expansion of c in a 0.161 * [backup-simplify]: Simplify c into c 0.161 * [taylor]: Taking taylor expansion of (* b d) in a 0.161 * [taylor]: Taking taylor expansion of b in a 0.161 * [backup-simplify]: Simplify b into b 0.161 * [taylor]: Taking taylor expansion of d in a 0.161 * [backup-simplify]: Simplify d into d 0.161 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a 0.161 * [taylor]: Taking taylor expansion of (pow c 2) in a 0.161 * [taylor]: Taking taylor expansion of c in a 0.161 * [backup-simplify]: Simplify c into c 0.161 * [taylor]: Taking taylor expansion of (pow d 2) in a 0.161 * [taylor]: Taking taylor expansion of d in a 0.161 * [backup-simplify]: Simplify d into d 0.161 * [backup-simplify]: Simplify (* 0 c) into 0 0.161 * [backup-simplify]: Simplify (* b d) into (* b d) 0.161 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 0.161 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.161 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.161 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 0.162 * [backup-simplify]: Simplify (/ (* b d) (+ (pow c 2) (pow d 2))) into (/ (* b d) (+ (pow c 2) (pow d 2))) 0.162 * [taylor]: Taking taylor expansion of (/ (* b d) (+ (pow c 2) (pow d 2))) in c 0.162 * [taylor]: Taking taylor expansion of (* b d) in c 0.162 * [taylor]: Taking taylor expansion of b in c 0.162 * [backup-simplify]: Simplify b into b 0.162 * [taylor]: Taking taylor expansion of d in c 0.162 * [backup-simplify]: Simplify d into d 0.162 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 0.162 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.162 * [taylor]: Taking taylor expansion of c in c 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.162 * [taylor]: Taking taylor expansion of d in c 0.162 * [backup-simplify]: Simplify d into d 0.162 * [backup-simplify]: Simplify (* b d) into (* b d) 0.162 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.162 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 0.162 * [backup-simplify]: Simplify (/ (* b d) (pow d 2)) into (/ b d) 0.162 * [taylor]: Taking taylor expansion of (/ b d) in b 0.162 * [taylor]: Taking taylor expansion of b in b 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [taylor]: Taking taylor expansion of d in b 0.162 * [backup-simplify]: Simplify d into d 0.162 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.163 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 0.163 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.163 * [backup-simplify]: Simplify (+ c 0) into c 0.163 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 0.163 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [backup-simplify]: Simplify (- (/ c (+ (pow c 2) (pow d 2))) (+ (* (/ (* b d) (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into (/ c (+ (pow c 2) (pow d 2))) 0.163 * [taylor]: Taking taylor expansion of (/ c (+ (pow c 2) (pow d 2))) in c 0.164 * [taylor]: Taking taylor expansion of c in c 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 0.164 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.164 * [taylor]: Taking taylor expansion of c in c 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.164 * [taylor]: Taking taylor expansion of d in c 0.164 * [backup-simplify]: Simplify d into d 0.164 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.164 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 0.164 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.164 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.164 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [backup-simplify]: Simplify (- (/ 0 (pow d 2)) (+ (* (/ b d) (/ 0 (pow d 2))))) into 0 0.164 * [taylor]: Taking taylor expansion of 0 in b 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [taylor]: Taking taylor expansion of 0 in d 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.165 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.165 * [taylor]: Taking taylor expansion of d in d 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (/ 1 1) into 1 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 0.166 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 0.167 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify (- (/ 0 (+ (pow c 2) (pow d 2))) (+ (* (/ (* b d) (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))) (* (/ c (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 0.168 * [taylor]: Taking taylor expansion of 0 in c 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [taylor]: Taking taylor expansion of 0 in b 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [taylor]: Taking taylor expansion of 0 in d 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 0.168 * [taylor]: Taking taylor expansion of (pow d 2) in b 0.168 * [taylor]: Taking taylor expansion of d in b 0.168 * [backup-simplify]: Simplify d into d 0.168 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.168 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 0.168 * [taylor]: Taking taylor expansion of (pow d 2) in d 0.168 * [taylor]: Taking taylor expansion of d in d 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (* 1 1) into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 0.171 * [backup-simplify]: Simplify (* 1 1) into 1 0.171 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 0.172 * [backup-simplify]: Simplify (+ 1 0) into 1 0.172 * [backup-simplify]: Simplify (- (/ 0 (pow d 2)) (+ (* (/ b d) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ b (pow d 3))) 0.172 * [taylor]: Taking taylor expansion of (- (/ b (pow d 3))) in b 0.172 * [taylor]: Taking taylor expansion of (/ b (pow d 3)) in b 0.172 * [taylor]: Taking taylor expansion of b in b 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [taylor]: Taking taylor expansion of (pow d 3) in b 0.172 * [taylor]: Taking taylor expansion of d in b 0.172 * [backup-simplify]: Simplify d into d 0.172 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.172 * [backup-simplify]: Simplify (* d (pow d 2)) into (pow d 3) 0.172 * [backup-simplify]: Simplify (/ 1 (pow d 3)) into (/ 1 (pow d 3)) 0.172 * [taylor]: Taking taylor expansion of 0 in d 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (- (/ 0 d) (+ (* (/ 1 d) (/ 0 d)))) into 0 0.173 * [taylor]: Taking taylor expansion of 0 in d 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 0.173 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (a c b d) around 0 0.173 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 0.173 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 0.173 * [taylor]: Taking taylor expansion of (* b d) in d 0.173 * [taylor]: Taking taylor expansion of b in d 0.173 * [backup-simplify]: Simplify b into b 0.173 * [taylor]: Taking taylor expansion of d in d 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (* b 0) into 0 0.174 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 0.174 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.174 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 0.174 * [taylor]: Taking taylor expansion of (* a c) in d 0.174 * [taylor]: Taking taylor expansion of a in d 0.174 * [backup-simplify]: Simplify a into a 0.174 * [taylor]: Taking taylor expansion of c in d 0.174 * [backup-simplify]: Simplify c into c 0.174 * [backup-simplify]: Simplify (* a c) into (* a c) 0.174 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 0.174 * [taylor]: Taking taylor expansion of (pow c 2) in d 0.174 * [taylor]: Taking taylor expansion of c in d 0.174 * [backup-simplify]: Simplify c into c 0.174 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.174 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 0.174 * [taylor]: Taking taylor expansion of (pow d 2) in d 0.174 * [taylor]: Taking taylor expansion of d in d 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (* 1 1) into 1 0.175 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 0.175 * [backup-simplify]: Simplify (+ 0 1) into 1 0.176 * [backup-simplify]: Simplify (/ (/ 1 b) 1) into (/ 1 b) 0.176 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 0.176 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 0.176 * [taylor]: Taking taylor expansion of (* b d) in b 0.176 * [taylor]: Taking taylor expansion of b in b 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [taylor]: Taking taylor expansion of d in b 0.176 * [backup-simplify]: Simplify d into d 0.176 * [backup-simplify]: Simplify (* 0 d) into 0 0.176 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 0.176 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.176 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 0.176 * [taylor]: Taking taylor expansion of (* a c) in b 0.176 * [taylor]: Taking taylor expansion of a in b 0.176 * [backup-simplify]: Simplify a into a 0.176 * [taylor]: Taking taylor expansion of c in b 0.176 * [backup-simplify]: Simplify c into c 0.176 * [backup-simplify]: Simplify (* a c) into (* a c) 0.176 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 0.177 * [taylor]: Taking taylor expansion of (pow c 2) in b 0.177 * [taylor]: Taking taylor expansion of c in b 0.177 * [backup-simplify]: Simplify c into c 0.177 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.177 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 0.177 * [taylor]: Taking taylor expansion of (pow d 2) in b 0.177 * [taylor]: Taking taylor expansion of d in b 0.177 * [backup-simplify]: Simplify d into d 0.177 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.177 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.177 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 0.177 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 0.177 * [backup-simplify]: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) 0.177 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 0.177 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 0.177 * [taylor]: Taking taylor expansion of (* b d) in c 0.177 * [taylor]: Taking taylor expansion of b in c 0.177 * [backup-simplify]: Simplify b into b 0.178 * [taylor]: Taking taylor expansion of d in c 0.178 * [backup-simplify]: Simplify d into d 0.178 * [backup-simplify]: Simplify (* b d) into (* b d) 0.178 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.178 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 0.178 * [taylor]: Taking taylor expansion of (* a c) in c 0.178 * [taylor]: Taking taylor expansion of a in c 0.178 * [backup-simplify]: Simplify a into a 0.178 * [taylor]: Taking taylor expansion of c in c 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (* a 0) into 0 0.178 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 0.178 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 0.178 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.178 * [taylor]: Taking taylor expansion of c in c 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (* 1 1) into 1 0.179 * [backup-simplify]: Simplify (/ 1 1) into 1 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 0.179 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.179 * [taylor]: Taking taylor expansion of d in c 0.179 * [backup-simplify]: Simplify d into d 0.179 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.179 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.179 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 0.180 * [backup-simplify]: Simplify (+ 1 0) into 1 0.180 * [backup-simplify]: Simplify (/ (/ 1 a) 1) into (/ 1 a) 0.180 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 0.180 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 0.180 * [taylor]: Taking taylor expansion of (* b d) in a 0.180 * [taylor]: Taking taylor expansion of b in a 0.180 * [backup-simplify]: Simplify b into b 0.180 * [taylor]: Taking taylor expansion of d in a 0.180 * [backup-simplify]: Simplify d into d 0.180 * [backup-simplify]: Simplify (* b d) into (* b d) 0.180 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.180 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 0.180 * [taylor]: Taking taylor expansion of (* a c) in a 0.180 * [taylor]: Taking taylor expansion of a in a 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [taylor]: Taking taylor expansion of c in a 0.180 * [backup-simplify]: Simplify c into c 0.180 * [backup-simplify]: Simplify (* 0 c) into 0 0.181 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 0.181 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 0.181 * [taylor]: Taking taylor expansion of (pow c 2) in a 0.181 * [taylor]: Taking taylor expansion of c in a 0.181 * [backup-simplify]: Simplify c into c 0.181 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.181 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 0.181 * [taylor]: Taking taylor expansion of (pow d 2) in a 0.181 * [taylor]: Taking taylor expansion of d in a 0.181 * [backup-simplify]: Simplify d into d 0.503 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.504 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.504 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 0.504 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 0.504 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) 0.504 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 0.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 0.504 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 0.504 * [taylor]: Taking taylor expansion of (* b d) in a 0.504 * [taylor]: Taking taylor expansion of b in a 0.504 * [backup-simplify]: Simplify b into b 0.504 * [taylor]: Taking taylor expansion of d in a 0.504 * [backup-simplify]: Simplify d into d 0.504 * [backup-simplify]: Simplify (* b d) into (* b d) 0.504 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.504 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 0.504 * [taylor]: Taking taylor expansion of (* a c) in a 0.504 * [taylor]: Taking taylor expansion of a in a 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.505 * [taylor]: Taking taylor expansion of c in a 0.505 * [backup-simplify]: Simplify c into c 0.505 * [backup-simplify]: Simplify (* 0 c) into 0 0.505 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 0.505 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 0.505 * [taylor]: Taking taylor expansion of (pow c 2) in a 0.505 * [taylor]: Taking taylor expansion of c in a 0.505 * [backup-simplify]: Simplify c into c 0.505 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.505 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 0.506 * [taylor]: Taking taylor expansion of (pow d 2) in a 0.506 * [taylor]: Taking taylor expansion of d in a 0.506 * [backup-simplify]: Simplify d into d 0.506 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.506 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.506 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 0.506 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 0.506 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) 0.506 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c 0.506 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c 0.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 0.506 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.506 * [taylor]: Taking taylor expansion of c in c 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.507 * [backup-simplify]: Simplify (* 1 1) into 1 0.507 * [backup-simplify]: Simplify (/ 1 1) into 1 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 0.507 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.507 * [taylor]: Taking taylor expansion of d in c 0.507 * [backup-simplify]: Simplify d into d 0.507 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.507 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.507 * [taylor]: Taking taylor expansion of c in c 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (+ 1 0) into 1 0.508 * [backup-simplify]: Simplify (* 1 0) into 0 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (+ 0 0) into 0 0.510 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 0.511 * [backup-simplify]: Simplify (/ 1 1) into 1 0.511 * [taylor]: Taking taylor expansion of 1 in b 0.511 * [backup-simplify]: Simplify 1 into 1 0.511 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 0.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 0.512 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 0.512 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 0.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 0.512 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 0.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 0.512 * [backup-simplify]: Simplify (+ 0 0) into 0 0.513 * [backup-simplify]: Simplify (- (/ (/ 1 (* b d)) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) 0.513 * [taylor]: Taking taylor expansion of (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c 0.513 * [taylor]: Taking taylor expansion of (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c 0.513 * [taylor]: Taking taylor expansion of b in c 0.513 * [backup-simplify]: Simplify b into b 0.513 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c 0.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 0.513 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.513 * [taylor]: Taking taylor expansion of c in c 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 1 into 1 0.514 * [backup-simplify]: Simplify (* 1 1) into 1 0.514 * [backup-simplify]: Simplify (/ 1 1) into 1 0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 0.514 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.514 * [taylor]: Taking taylor expansion of d in c 0.514 * [backup-simplify]: Simplify d into d 0.514 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.514 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.514 * [taylor]: Taking taylor expansion of d in c 0.514 * [backup-simplify]: Simplify d into d 0.515 * [backup-simplify]: Simplify (+ 1 0) into 1 0.515 * [backup-simplify]: Simplify (* 1 d) into d 0.515 * [backup-simplify]: Simplify (* b d) into (* b d) 0.515 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) into 0 0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.518 * [taylor]: Taking taylor expansion of 0 in b 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [taylor]: Taking taylor expansion of 1 in d 0.518 * [backup-simplify]: Simplify 1 into 1 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 0.519 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.520 * [backup-simplify]: Simplify (+ 0 0) into 0 0.520 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 0.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 0.521 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 0.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 0.521 * [backup-simplify]: Simplify (+ 0 0) into 0 0.522 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 0.522 * [taylor]: Taking taylor expansion of 0 in c 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [taylor]: Taking taylor expansion of 0 in b 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 0.522 * [taylor]: Taking taylor expansion of (* b d) in b 0.522 * [taylor]: Taking taylor expansion of b in b 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.522 * [taylor]: Taking taylor expansion of d in b 0.522 * [backup-simplify]: Simplify d into d 0.522 * [backup-simplify]: Simplify (* 0 d) into 0 0.523 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 0.523 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.523 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.523 * [taylor]: Taking taylor expansion of d in d 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify (/ 1 1) into 1 0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 0.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 0.527 * [backup-simplify]: Simplify (+ 0 0) into 0 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2)) 0.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) 0.529 * [taylor]: Taking taylor expansion of (- (/ 1 (pow d 2))) in b 0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 0.529 * [taylor]: Taking taylor expansion of (pow d 2) in b 0.529 * [taylor]: Taking taylor expansion of d in b 0.529 * [backup-simplify]: Simplify d into d 0.529 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.529 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.529 * [taylor]: Taking taylor expansion of 0 in d 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [taylor]: Taking taylor expansion of 0 in d 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 0.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 0.531 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 0.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.532 * [backup-simplify]: Simplify (+ 0 0) into 0 0.532 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 0.532 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 0.533 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 0.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 0.534 * [backup-simplify]: Simplify (+ 0 0) into 0 0.535 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 0.535 * [taylor]: Taking taylor expansion of 0 in c 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [taylor]: Taking taylor expansion of 0 in b 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [taylor]: Taking taylor expansion of 0 in b 0.535 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.537 * [backup-simplify]: Simplify (+ 0 0) into 0 0.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 d)) into 0 0.537 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 0.537 * [taylor]: Taking taylor expansion of 0 in b 0.537 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 0.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 0.540 * [backup-simplify]: Simplify (+ 0 0) into 0 0.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 0.542 * [taylor]: Taking taylor expansion of 0 in b 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [taylor]: Taking taylor expansion of 0 in d 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 0.543 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (a c b d) around 0 0.543 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 0.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 0.543 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 0.543 * [taylor]: Taking taylor expansion of (* b d) in d 0.543 * [taylor]: Taking taylor expansion of b in d 0.543 * [backup-simplify]: Simplify b into b 0.543 * [taylor]: Taking taylor expansion of d in d 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (* b 0) into 0 0.544 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 0.544 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.544 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 0.544 * [taylor]: Taking taylor expansion of (* a c) in d 0.544 * [taylor]: Taking taylor expansion of a in d 0.544 * [backup-simplify]: Simplify a into a 0.544 * [taylor]: Taking taylor expansion of c in d 0.544 * [backup-simplify]: Simplify c into c 0.544 * [backup-simplify]: Simplify (* a c) into (* a c) 0.544 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 0.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 0.544 * [taylor]: Taking taylor expansion of (pow c 2) in d 0.544 * [taylor]: Taking taylor expansion of c in d 0.544 * [backup-simplify]: Simplify c into c 0.544 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.544 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 0.544 * [taylor]: Taking taylor expansion of (pow d 2) in d 0.544 * [taylor]: Taking taylor expansion of d in d 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.545 * [backup-simplify]: Simplify (* 1 1) into 1 0.545 * [backup-simplify]: Simplify (/ 1 1) into 1 0.545 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 0.546 * [backup-simplify]: Simplify (+ 0 1) into 1 0.546 * [backup-simplify]: Simplify (/ (/ 1 b) 1) into (/ 1 b) 0.546 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 0.546 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 0.546 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 0.546 * [taylor]: Taking taylor expansion of (* b d) in b 0.546 * [taylor]: Taking taylor expansion of b in b 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 1 into 1 0.546 * [taylor]: Taking taylor expansion of d in b 0.546 * [backup-simplify]: Simplify d into d 0.546 * [backup-simplify]: Simplify (* 0 d) into 0 0.546 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 0.546 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.546 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 0.546 * [taylor]: Taking taylor expansion of (* a c) in b 0.546 * [taylor]: Taking taylor expansion of a in b 0.546 * [backup-simplify]: Simplify a into a 0.546 * [taylor]: Taking taylor expansion of c in b 0.547 * [backup-simplify]: Simplify c into c 0.547 * [backup-simplify]: Simplify (* a c) into (* a c) 0.547 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 0.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 0.547 * [taylor]: Taking taylor expansion of (pow c 2) in b 0.547 * [taylor]: Taking taylor expansion of c in b 0.547 * [backup-simplify]: Simplify c into c 0.547 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.547 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 0.547 * [taylor]: Taking taylor expansion of (pow d 2) in b 0.547 * [taylor]: Taking taylor expansion of d in b 0.547 * [backup-simplify]: Simplify d into d 0.547 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.547 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.547 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 0.547 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 0.547 * [backup-simplify]: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) 0.547 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 0.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 0.548 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 0.548 * [taylor]: Taking taylor expansion of (* b d) in c 0.548 * [taylor]: Taking taylor expansion of b in c 0.548 * [backup-simplify]: Simplify b into b 0.548 * [taylor]: Taking taylor expansion of d in c 0.548 * [backup-simplify]: Simplify d into d 0.548 * [backup-simplify]: Simplify (* b d) into (* b d) 0.548 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.548 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 0.548 * [taylor]: Taking taylor expansion of (* a c) in c 0.548 * [taylor]: Taking taylor expansion of a in c 0.548 * [backup-simplify]: Simplify a into a 0.548 * [taylor]: Taking taylor expansion of c in c 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify (* a 0) into 0 0.548 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 0.548 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 0.548 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.548 * [taylor]: Taking taylor expansion of c in c 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 1 into 1 0.549 * [backup-simplify]: Simplify (* 1 1) into 1 0.549 * [backup-simplify]: Simplify (/ 1 1) into 1 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 0.549 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.549 * [taylor]: Taking taylor expansion of d in c 0.549 * [backup-simplify]: Simplify d into d 0.549 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.549 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.549 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 0.550 * [backup-simplify]: Simplify (+ 1 0) into 1 0.550 * [backup-simplify]: Simplify (/ (/ 1 a) 1) into (/ 1 a) 0.550 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 0.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 0.550 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 0.550 * [taylor]: Taking taylor expansion of (* b d) in a 0.550 * [taylor]: Taking taylor expansion of b in a 0.550 * [backup-simplify]: Simplify b into b 0.550 * [taylor]: Taking taylor expansion of d in a 0.550 * [backup-simplify]: Simplify d into d 0.550 * [backup-simplify]: Simplify (* b d) into (* b d) 0.550 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.550 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 0.550 * [taylor]: Taking taylor expansion of (* a c) in a 0.550 * [taylor]: Taking taylor expansion of a in a 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 1 into 1 0.550 * [taylor]: Taking taylor expansion of c in a 0.550 * [backup-simplify]: Simplify c into c 0.550 * [backup-simplify]: Simplify (* 0 c) into 0 0.551 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 0.551 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 0.551 * [taylor]: Taking taylor expansion of (pow c 2) in a 0.551 * [taylor]: Taking taylor expansion of c in a 0.551 * [backup-simplify]: Simplify c into c 0.551 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.551 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 0.551 * [taylor]: Taking taylor expansion of (pow d 2) in a 0.551 * [taylor]: Taking taylor expansion of d in a 0.551 * [backup-simplify]: Simplify d into d 0.551 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.551 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.551 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 0.552 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 0.552 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) 0.552 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 0.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 0.552 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 0.552 * [taylor]: Taking taylor expansion of (* b d) in a 0.552 * [taylor]: Taking taylor expansion of b in a 0.552 * [backup-simplify]: Simplify b into b 0.552 * [taylor]: Taking taylor expansion of d in a 0.552 * [backup-simplify]: Simplify d into d 0.552 * [backup-simplify]: Simplify (* b d) into (* b d) 0.552 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.552 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 0.552 * [taylor]: Taking taylor expansion of (* a c) in a 0.552 * [taylor]: Taking taylor expansion of a in a 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 1 into 1 0.552 * [taylor]: Taking taylor expansion of c in a 0.552 * [backup-simplify]: Simplify c into c 0.552 * [backup-simplify]: Simplify (* 0 c) into 0 0.553 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 0.553 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 0.553 * [taylor]: Taking taylor expansion of (pow c 2) in a 0.553 * [taylor]: Taking taylor expansion of c in a 0.553 * [backup-simplify]: Simplify c into c 0.553 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.553 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 0.553 * [taylor]: Taking taylor expansion of (pow d 2) in a 0.553 * [taylor]: Taking taylor expansion of d in a 0.553 * [backup-simplify]: Simplify d into d 0.553 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.553 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.553 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 0.553 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 0.554 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) 0.554 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c 0.554 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c 0.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 0.554 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.554 * [taylor]: Taking taylor expansion of c in c 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [backup-simplify]: Simplify (* 1 1) into 1 0.555 * [backup-simplify]: Simplify (/ 1 1) into 1 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 0.555 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.555 * [taylor]: Taking taylor expansion of d in c 0.555 * [backup-simplify]: Simplify d into d 0.555 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.555 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.555 * [taylor]: Taking taylor expansion of c in c 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.555 * [backup-simplify]: Simplify (+ 1 0) into 1 0.556 * [backup-simplify]: Simplify (* 1 0) into 0 0.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.557 * [backup-simplify]: Simplify (+ 0 0) into 0 0.558 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 0.558 * [backup-simplify]: Simplify (/ 1 1) into 1 0.558 * [taylor]: Taking taylor expansion of 1 in b 0.558 * [backup-simplify]: Simplify 1 into 1 0.559 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 0.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 0.559 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 0.559 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 0.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 0.559 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 0.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 0.560 * [backup-simplify]: Simplify (+ 0 0) into 0 0.560 * [backup-simplify]: Simplify (- (/ (/ 1 (* b d)) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) 0.560 * [taylor]: Taking taylor expansion of (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c 0.560 * [taylor]: Taking taylor expansion of (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c 0.560 * [taylor]: Taking taylor expansion of b in c 0.561 * [backup-simplify]: Simplify b into b 0.561 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c 0.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 0.561 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 0.561 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.561 * [taylor]: Taking taylor expansion of c in c 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify 1 into 1 0.561 * [backup-simplify]: Simplify (* 1 1) into 1 0.561 * [backup-simplify]: Simplify (/ 1 1) into 1 0.561 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 0.561 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.561 * [taylor]: Taking taylor expansion of d in c 0.561 * [backup-simplify]: Simplify d into d 0.561 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.562 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.562 * [taylor]: Taking taylor expansion of d in c 0.562 * [backup-simplify]: Simplify d into d 0.562 * [backup-simplify]: Simplify (+ 1 0) into 1 0.562 * [backup-simplify]: Simplify (* 1 d) into d 0.562 * [backup-simplify]: Simplify (* b d) into (* b d) 0.562 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 0.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) into 0 0.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.565 * [taylor]: Taking taylor expansion of 0 in b 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [taylor]: Taking taylor expansion of 1 in d 0.565 * [backup-simplify]: Simplify 1 into 1 0.565 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 0.567 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 0.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.567 * [backup-simplify]: Simplify (+ 0 0) into 0 0.568 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 0.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 0.568 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 0.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 0.569 * [backup-simplify]: Simplify (+ 0 0) into 0 0.570 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 0.570 * [taylor]: Taking taylor expansion of 0 in c 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [taylor]: Taking taylor expansion of 0 in b 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 0.570 * [taylor]: Taking taylor expansion of (* b d) in b 0.570 * [taylor]: Taking taylor expansion of b in b 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.570 * [taylor]: Taking taylor expansion of d in b 0.570 * [backup-simplify]: Simplify d into d 0.570 * [backup-simplify]: Simplify (* 0 d) into 0 0.570 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 0.570 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.570 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.570 * [taylor]: Taking taylor expansion of d in d 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.571 * [backup-simplify]: Simplify (/ 1 1) into 1 0.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.574 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 0.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 0.575 * [backup-simplify]: Simplify (+ 0 0) into 0 0.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2)) 0.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) 0.576 * [taylor]: Taking taylor expansion of (- (/ 1 (pow d 2))) in b 0.576 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 0.576 * [taylor]: Taking taylor expansion of (pow d 2) in b 0.576 * [taylor]: Taking taylor expansion of d in b 0.576 * [backup-simplify]: Simplify d into d 0.577 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.577 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.577 * [taylor]: Taking taylor expansion of 0 in d 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [taylor]: Taking taylor expansion of 0 in d 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 0.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 0.579 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 0.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.579 * [backup-simplify]: Simplify (+ 0 0) into 0 0.580 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 0.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 0.581 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 0.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 0.581 * [backup-simplify]: Simplify (+ 0 0) into 0 0.582 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 0.582 * [taylor]: Taking taylor expansion of 0 in c 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [taylor]: Taking taylor expansion of 0 in b 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [taylor]: Taking taylor expansion of 0 in b 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 d)) into 0 0.585 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 0.585 * [taylor]: Taking taylor expansion of 0 in b 0.585 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.587 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 0.587 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 0.588 * [backup-simplify]: Simplify (+ 0 0) into 0 0.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 0.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 0.590 * [taylor]: Taking taylor expansion of 0 in b 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [taylor]: Taking taylor expansion of 0 in d 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.590 * [backup-simplify]: Simplify (+ (* a c) (* b d)) into (+ (* a c) (* b d)) 0.590 * [approximate]: Taking taylor expansion of (+ (* a c) (* b d)) in (a c b d) around 0 0.590 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d 0.590 * [taylor]: Taking taylor expansion of (* a c) in d 0.590 * [taylor]: Taking taylor expansion of a in d 0.590 * [backup-simplify]: Simplify a into a 0.590 * [taylor]: Taking taylor expansion of c in d 0.590 * [backup-simplify]: Simplify c into c 0.590 * [taylor]: Taking taylor expansion of (* b d) in d 0.591 * [taylor]: Taking taylor expansion of b in d 0.591 * [backup-simplify]: Simplify b into b 0.591 * [taylor]: Taking taylor expansion of d in d 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b 0.591 * [taylor]: Taking taylor expansion of (* a c) in b 0.591 * [taylor]: Taking taylor expansion of a in b 0.591 * [backup-simplify]: Simplify a into a 0.591 * [taylor]: Taking taylor expansion of c in b 0.591 * [backup-simplify]: Simplify c into c 0.591 * [taylor]: Taking taylor expansion of (* b d) in b 0.591 * [taylor]: Taking taylor expansion of b in b 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [taylor]: Taking taylor expansion of d in b 0.591 * [backup-simplify]: Simplify d into d 0.591 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c 0.591 * [taylor]: Taking taylor expansion of (* a c) in c 0.591 * [taylor]: Taking taylor expansion of a in c 0.591 * [backup-simplify]: Simplify a into a 0.591 * [taylor]: Taking taylor expansion of c in c 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [taylor]: Taking taylor expansion of (* b d) in c 0.591 * [taylor]: Taking taylor expansion of b in c 0.591 * [backup-simplify]: Simplify b into b 0.591 * [taylor]: Taking taylor expansion of d in c 0.591 * [backup-simplify]: Simplify d into d 0.591 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 0.591 * [taylor]: Taking taylor expansion of (* a c) in a 0.591 * [taylor]: Taking taylor expansion of a in a 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [taylor]: Taking taylor expansion of c in a 0.591 * [backup-simplify]: Simplify c into c 0.591 * [taylor]: Taking taylor expansion of (* b d) in a 0.591 * [taylor]: Taking taylor expansion of b in a 0.591 * [backup-simplify]: Simplify b into b 0.591 * [taylor]: Taking taylor expansion of d in a 0.591 * [backup-simplify]: Simplify d into d 0.591 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 0.591 * [taylor]: Taking taylor expansion of (* a c) in a 0.591 * [taylor]: Taking taylor expansion of a in a 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [taylor]: Taking taylor expansion of c in a 0.591 * [backup-simplify]: Simplify c into c 0.591 * [taylor]: Taking taylor expansion of (* b d) in a 0.592 * [taylor]: Taking taylor expansion of b in a 0.592 * [backup-simplify]: Simplify b into b 0.592 * [taylor]: Taking taylor expansion of d in a 0.592 * [backup-simplify]: Simplify d into d 0.592 * [backup-simplify]: Simplify (* 0 c) into 0 0.592 * [backup-simplify]: Simplify (* b d) into (* b d) 0.592 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 0.592 * [taylor]: Taking taylor expansion of (* b d) in c 0.592 * [taylor]: Taking taylor expansion of b in c 0.592 * [backup-simplify]: Simplify b into b 0.592 * [taylor]: Taking taylor expansion of d in c 0.592 * [backup-simplify]: Simplify d into d 0.592 * [backup-simplify]: Simplify (* b d) into (* b d) 0.592 * [taylor]: Taking taylor expansion of (* b d) in b 0.592 * [taylor]: Taking taylor expansion of b in b 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 1 into 1 0.592 * [taylor]: Taking taylor expansion of d in b 0.592 * [backup-simplify]: Simplify d into d 0.592 * [backup-simplify]: Simplify (* 0 d) into 0 0.592 * [taylor]: Taking taylor expansion of 0 in d 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 0.593 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.593 * [backup-simplify]: Simplify (+ c 0) into c 0.593 * [taylor]: Taking taylor expansion of c in c 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify 1 into 1 0.593 * [taylor]: Taking taylor expansion of 0 in b 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [taylor]: Taking taylor expansion of 0 in d 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.593 * [taylor]: Taking taylor expansion of 0 in b 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [taylor]: Taking taylor expansion of 0 in d 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 0.594 * [taylor]: Taking taylor expansion of d in d 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 1 into 1 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 0.595 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 0.595 * [backup-simplify]: Simplify (+ 0 0) into 0 0.595 * [taylor]: Taking taylor expansion of 0 in c 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [taylor]: Taking taylor expansion of 0 in b 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [taylor]: Taking taylor expansion of 0 in d 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) into (+ (/ 1 (* b d)) (/ 1 (* a c))) 0.596 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0 0.596 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 0.596 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 0.596 * [taylor]: Taking taylor expansion of (* b d) in d 0.596 * [taylor]: Taking taylor expansion of b in d 0.596 * [backup-simplify]: Simplify b into b 0.596 * [taylor]: Taking taylor expansion of d in d 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify 1 into 1 0.596 * [backup-simplify]: Simplify (* b 0) into 0 0.596 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 0.596 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.596 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 0.596 * [taylor]: Taking taylor expansion of (* a c) in d 0.596 * [taylor]: Taking taylor expansion of a in d 0.596 * [backup-simplify]: Simplify a into a 0.596 * [taylor]: Taking taylor expansion of c in d 0.596 * [backup-simplify]: Simplify c into c 0.596 * [backup-simplify]: Simplify (* a c) into (* a c) 0.597 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 0.597 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 0.597 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 0.597 * [taylor]: Taking taylor expansion of (* b d) in b 0.597 * [taylor]: Taking taylor expansion of b in b 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 1 into 1 0.597 * [taylor]: Taking taylor expansion of d in b 0.597 * [backup-simplify]: Simplify d into d 0.597 * [backup-simplify]: Simplify (* 0 d) into 0 0.597 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 0.597 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.597 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 0.597 * [taylor]: Taking taylor expansion of (* a c) in b 0.597 * [taylor]: Taking taylor expansion of a in b 0.597 * [backup-simplify]: Simplify a into a 0.597 * [taylor]: Taking taylor expansion of c in b 0.597 * [backup-simplify]: Simplify c into c 0.597 * [backup-simplify]: Simplify (* a c) into (* a c) 0.597 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 0.597 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 0.597 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 0.597 * [taylor]: Taking taylor expansion of (* b d) in c 0.598 * [taylor]: Taking taylor expansion of b in c 0.598 * [backup-simplify]: Simplify b into b 0.598 * [taylor]: Taking taylor expansion of d in c 0.598 * [backup-simplify]: Simplify d into d 0.598 * [backup-simplify]: Simplify (* b d) into (* b d) 0.598 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.598 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 0.598 * [taylor]: Taking taylor expansion of (* a c) in c 0.598 * [taylor]: Taking taylor expansion of a in c 0.598 * [backup-simplify]: Simplify a into a 0.598 * [taylor]: Taking taylor expansion of c in c 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 1 into 1 0.598 * [backup-simplify]: Simplify (* a 0) into 0 0.598 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 0.598 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 0.598 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 0.598 * [taylor]: Taking taylor expansion of (* b d) in a 0.598 * [taylor]: Taking taylor expansion of b in a 0.598 * [backup-simplify]: Simplify b into b 0.598 * [taylor]: Taking taylor expansion of d in a 0.598 * [backup-simplify]: Simplify d into d 0.599 * [backup-simplify]: Simplify (* b d) into (* b d) 0.599 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.599 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 0.599 * [taylor]: Taking taylor expansion of (* a c) in a 0.599 * [taylor]: Taking taylor expansion of a in a 0.599 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify 1 into 1 0.599 * [taylor]: Taking taylor expansion of c in a 0.599 * [backup-simplify]: Simplify c into c 0.599 * [backup-simplify]: Simplify (* 0 c) into 0 0.599 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 0.599 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.599 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 0.599 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 0.599 * [taylor]: Taking taylor expansion of (* b d) in a 0.599 * [taylor]: Taking taylor expansion of b in a 0.599 * [backup-simplify]: Simplify b into b 0.599 * [taylor]: Taking taylor expansion of d in a 0.599 * [backup-simplify]: Simplify d into d 0.599 * [backup-simplify]: Simplify (* b d) into (* b d) 0.600 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.600 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 0.600 * [taylor]: Taking taylor expansion of (* a c) in a 0.600 * [taylor]: Taking taylor expansion of a in a 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 1 into 1 0.600 * [taylor]: Taking taylor expansion of c in a 0.600 * [backup-simplify]: Simplify c into c 0.600 * [backup-simplify]: Simplify (* 0 c) into 0 0.600 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 0.600 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.600 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 0.600 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.600 * [taylor]: Taking taylor expansion of c in c 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 1 into 1 0.601 * [backup-simplify]: Simplify (/ 1 1) into 1 0.601 * [taylor]: Taking taylor expansion of 1 in b 0.601 * [backup-simplify]: Simplify 1 into 1 0.602 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 0.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 0.602 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 0.602 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 0.602 * [taylor]: Taking taylor expansion of (* b d) in c 0.602 * [taylor]: Taking taylor expansion of b in c 0.602 * [backup-simplify]: Simplify b into b 0.602 * [taylor]: Taking taylor expansion of d in c 0.602 * [backup-simplify]: Simplify d into d 0.602 * [backup-simplify]: Simplify (* b d) into (* b d) 0.602 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.603 * [taylor]: Taking taylor expansion of 0 in b 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [taylor]: Taking taylor expansion of 1 in d 0.603 * [backup-simplify]: Simplify 1 into 1 0.603 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 0.605 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 0.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.605 * [backup-simplify]: Simplify (+ 0 0) into 0 0.605 * [taylor]: Taking taylor expansion of 0 in c 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 0.605 * [taylor]: Taking taylor expansion of (* b d) in b 0.605 * [taylor]: Taking taylor expansion of b in b 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 1 into 1 0.605 * [taylor]: Taking taylor expansion of d in b 0.605 * [backup-simplify]: Simplify d into d 0.605 * [backup-simplify]: Simplify (* 0 d) into 0 0.606 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 0.606 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.606 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.606 * [taylor]: Taking taylor expansion of d in d 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify 1 into 1 0.606 * [backup-simplify]: Simplify (/ 1 1) into 1 0.606 * [backup-simplify]: Simplify 1 into 1 0.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.607 * [taylor]: Taking taylor expansion of 0 in b 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [taylor]: Taking taylor expansion of 0 in d 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [taylor]: Taking taylor expansion of 0 in d 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 1 into 1 0.607 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 0.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 0.609 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 0.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.609 * [backup-simplify]: Simplify (+ 0 0) into 0 0.609 * [taylor]: Taking taylor expansion of 0 in c 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [taylor]: Taking taylor expansion of 0 in b 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 0.609 * [taylor]: Taking taylor expansion of 0 in b 0.609 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.610 * [taylor]: Taking taylor expansion of 0 in b 0.610 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 0.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 0.611 * [taylor]: Taking taylor expansion of 0 in d 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [taylor]: Taking taylor expansion of 0 in d 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [taylor]: Taking taylor expansion of 0 in d 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [taylor]: Taking taylor expansion of 0 in d 0.611 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 0.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 0.615 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0 0.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.615 * [backup-simplify]: Simplify (+ 0 0) into 0 0.615 * [taylor]: Taking taylor expansion of 0 in c 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [taylor]: Taking taylor expansion of 0 in b 0.615 * [backup-simplify]: Simplify 0 into 0 0.616 * [taylor]: Taking taylor expansion of 0 in b 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 0.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 0.616 * [taylor]: Taking taylor expansion of 0 in b 0.616 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.617 * [taylor]: Taking taylor expansion of 0 in b 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [taylor]: Taking taylor expansion of 0 in d 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [taylor]: Taking taylor expansion of 0 in d 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [taylor]: Taking taylor expansion of 0 in d 0.617 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 0.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 0.618 * [taylor]: Taking taylor expansion of 0 in d 0.618 * [backup-simplify]: Simplify 0 into 0 0.619 * [taylor]: Taking taylor expansion of 0 in d 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [taylor]: Taking taylor expansion of 0 in d 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [taylor]: Taking taylor expansion of 0 in d 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 c)) (/ 1 (/ 1 a)))))) (* 1 (* (/ 1 (/ 1 d)) (* (/ 1 (/ 1 b)) (* 1 1))))) into (+ (* a c) (* b d)) 0.620 * [backup-simplify]: Simplify (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) into (+ (/ 1 (* b d)) (/ 1 (* a c))) 0.620 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0 0.620 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 0.620 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 0.620 * [taylor]: Taking taylor expansion of (* b d) in d 0.620 * [taylor]: Taking taylor expansion of b in d 0.620 * [backup-simplify]: Simplify b into b 0.620 * [taylor]: Taking taylor expansion of d in d 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 1 into 1 0.620 * [backup-simplify]: Simplify (* b 0) into 0 0.620 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 0.620 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.620 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 0.620 * [taylor]: Taking taylor expansion of (* a c) in d 0.620 * [taylor]: Taking taylor expansion of a in d 0.620 * [backup-simplify]: Simplify a into a 0.620 * [taylor]: Taking taylor expansion of c in d 0.620 * [backup-simplify]: Simplify c into c 0.620 * [backup-simplify]: Simplify (* a c) into (* a c) 0.621 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 0.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 0.621 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 0.621 * [taylor]: Taking taylor expansion of (* b d) in b 0.621 * [taylor]: Taking taylor expansion of b in b 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify 1 into 1 0.621 * [taylor]: Taking taylor expansion of d in b 0.621 * [backup-simplify]: Simplify d into d 0.621 * [backup-simplify]: Simplify (* 0 d) into 0 0.621 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 0.621 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.621 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 0.621 * [taylor]: Taking taylor expansion of (* a c) in b 0.621 * [taylor]: Taking taylor expansion of a in b 0.621 * [backup-simplify]: Simplify a into a 0.621 * [taylor]: Taking taylor expansion of c in b 0.621 * [backup-simplify]: Simplify c into c 0.621 * [backup-simplify]: Simplify (* a c) into (* a c) 0.621 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 0.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 0.621 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 0.622 * [taylor]: Taking taylor expansion of (* b d) in c 0.622 * [taylor]: Taking taylor expansion of b in c 0.622 * [backup-simplify]: Simplify b into b 0.622 * [taylor]: Taking taylor expansion of d in c 0.622 * [backup-simplify]: Simplify d into d 0.622 * [backup-simplify]: Simplify (* b d) into (* b d) 0.622 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.622 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 0.622 * [taylor]: Taking taylor expansion of (* a c) in c 0.622 * [taylor]: Taking taylor expansion of a in c 0.622 * [backup-simplify]: Simplify a into a 0.622 * [taylor]: Taking taylor expansion of c in c 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify 1 into 1 0.622 * [backup-simplify]: Simplify (* a 0) into 0 0.622 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 0.622 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.622 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 0.622 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 0.622 * [taylor]: Taking taylor expansion of (* b d) in a 0.622 * [taylor]: Taking taylor expansion of b in a 0.622 * [backup-simplify]: Simplify b into b 0.623 * [taylor]: Taking taylor expansion of d in a 0.623 * [backup-simplify]: Simplify d into d 0.623 * [backup-simplify]: Simplify (* b d) into (* b d) 0.623 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.623 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 0.623 * [taylor]: Taking taylor expansion of (* a c) in a 0.623 * [taylor]: Taking taylor expansion of a in a 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify 1 into 1 0.623 * [taylor]: Taking taylor expansion of c in a 0.623 * [backup-simplify]: Simplify c into c 0.623 * [backup-simplify]: Simplify (* 0 c) into 0 0.623 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 0.623 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 0.623 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 0.623 * [taylor]: Taking taylor expansion of (* b d) in a 0.623 * [taylor]: Taking taylor expansion of b in a 0.623 * [backup-simplify]: Simplify b into b 0.623 * [taylor]: Taking taylor expansion of d in a 0.623 * [backup-simplify]: Simplify d into d 0.624 * [backup-simplify]: Simplify (* b d) into (* b d) 0.624 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.624 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 0.624 * [taylor]: Taking taylor expansion of (* a c) in a 0.624 * [taylor]: Taking taylor expansion of a in a 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.624 * [taylor]: Taking taylor expansion of c in a 0.624 * [backup-simplify]: Simplify c into c 0.624 * [backup-simplify]: Simplify (* 0 c) into 0 0.624 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 0.624 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.624 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 0.625 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.625 * [taylor]: Taking taylor expansion of c in c 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 1 into 1 0.625 * [backup-simplify]: Simplify (/ 1 1) into 1 0.625 * [taylor]: Taking taylor expansion of 1 in b 0.625 * [backup-simplify]: Simplify 1 into 1 0.626 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 0.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 0.626 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 0.626 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 0.626 * [taylor]: Taking taylor expansion of (* b d) in c 0.626 * [taylor]: Taking taylor expansion of b in c 0.626 * [backup-simplify]: Simplify b into b 0.626 * [taylor]: Taking taylor expansion of d in c 0.626 * [backup-simplify]: Simplify d into d 0.626 * [backup-simplify]: Simplify (* b d) into (* b d) 0.626 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.627 * [taylor]: Taking taylor expansion of 0 in b 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [taylor]: Taking taylor expansion of 1 in d 0.627 * [backup-simplify]: Simplify 1 into 1 0.627 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 0.628 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 0.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.629 * [backup-simplify]: Simplify (+ 0 0) into 0 0.629 * [taylor]: Taking taylor expansion of 0 in c 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 0.629 * [taylor]: Taking taylor expansion of (* b d) in b 0.629 * [taylor]: Taking taylor expansion of b in b 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 1 into 1 0.629 * [taylor]: Taking taylor expansion of d in b 0.629 * [backup-simplify]: Simplify d into d 0.629 * [backup-simplify]: Simplify (* 0 d) into 0 0.634 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 0.634 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.634 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.634 * [taylor]: Taking taylor expansion of d in d 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 1 into 1 0.634 * [backup-simplify]: Simplify (/ 1 1) into 1 0.635 * [backup-simplify]: Simplify 1 into 1 0.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.635 * [taylor]: Taking taylor expansion of 0 in b 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [taylor]: Taking taylor expansion of 0 in d 0.635 * [backup-simplify]: Simplify 0 into 0 0.636 * [taylor]: Taking taylor expansion of 0 in d 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify 1 into 1 0.636 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 0.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 0.638 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 0.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.638 * [backup-simplify]: Simplify (+ 0 0) into 0 0.638 * [taylor]: Taking taylor expansion of 0 in c 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [taylor]: Taking taylor expansion of 0 in b 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 0.639 * [taylor]: Taking taylor expansion of 0 in b 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.639 * [taylor]: Taking taylor expansion of 0 in b 0.639 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 0.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 0.640 * [taylor]: Taking taylor expansion of 0 in d 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [taylor]: Taking taylor expansion of 0 in d 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [taylor]: Taking taylor expansion of 0 in d 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [taylor]: Taking taylor expansion of 0 in d 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 0.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 0.644 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0 0.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.645 * [backup-simplify]: Simplify (+ 0 0) into 0 0.645 * [taylor]: Taking taylor expansion of 0 in c 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [taylor]: Taking taylor expansion of 0 in b 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [taylor]: Taking taylor expansion of 0 in b 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 0.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 0.646 * [taylor]: Taking taylor expansion of 0 in b 0.646 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.647 * [taylor]: Taking taylor expansion of 0 in b 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [taylor]: Taking taylor expansion of 0 in d 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [taylor]: Taking taylor expansion of 0 in d 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [taylor]: Taking taylor expansion of 0 in d 0.647 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 0.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 0.648 * [taylor]: Taking taylor expansion of 0 in d 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [taylor]: Taking taylor expansion of 0 in d 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [taylor]: Taking taylor expansion of 0 in d 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [taylor]: Taking taylor expansion of 0 in d 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 (- c))) (/ 1 (/ 1 (- a))))))) (* 1 (* (/ 1 (/ 1 (- d))) (* (/ 1 (/ 1 (- b))) (* 1 1))))) into (+ (* a c) (* b d)) 0.649 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.649 * [backup-simplify]: Simplify (+ (* c c) (* d d)) into (+ (pow c 2) (pow d 2)) 0.649 * [approximate]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in (c d) around 0 0.649 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 0.649 * [taylor]: Taking taylor expansion of (pow c 2) in d 0.649 * [taylor]: Taking taylor expansion of c in d 0.649 * [backup-simplify]: Simplify c into c 0.649 * [taylor]: Taking taylor expansion of (pow d 2) in d 0.650 * [taylor]: Taking taylor expansion of d in d 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 0.650 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.650 * [taylor]: Taking taylor expansion of c in c 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.650 * [taylor]: Taking taylor expansion of d in c 0.650 * [backup-simplify]: Simplify d into d 0.650 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 0.650 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.650 * [taylor]: Taking taylor expansion of c in c 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.650 * [taylor]: Taking taylor expansion of d in c 0.650 * [backup-simplify]: Simplify d into d 0.650 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.650 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 0.650 * [taylor]: Taking taylor expansion of (pow d 2) in d 0.650 * [taylor]: Taking taylor expansion of d in d 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 0.651 * [backup-simplify]: Simplify (+ 0 0) into 0 0.651 * [taylor]: Taking taylor expansion of 0 in d 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify (* 1 1) into 1 0.652 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 0.652 * [backup-simplify]: Simplify (+ 1 0) into 1 0.652 * [taylor]: Taking taylor expansion of 1 in d 0.652 * [backup-simplify]: Simplify 1 into 1 0.652 * [backup-simplify]: Simplify 1 into 1 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify (* 1 1) into 1 0.652 * [backup-simplify]: Simplify 1 into 1 0.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.654 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 0.655 * [backup-simplify]: Simplify (+ 0 0) into 0 0.655 * [taylor]: Taking taylor expansion of 0 in d 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.655 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.657 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 d))))) into 0 0.657 * [backup-simplify]: Simplify (+ 0 0) into 0 0.657 * [taylor]: Taking taylor expansion of 0 in d 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify (+ (* 1 (pow (* d 1) 2)) (* 1 (pow (* 1 c) 2))) into (+ (pow d 2) (pow c 2)) 0.658 * [backup-simplify]: Simplify (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 0.658 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in (c d) around 0 0.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 0.658 * [taylor]: Taking taylor expansion of (pow c 2) in d 0.658 * [taylor]: Taking taylor expansion of c in d 0.658 * [backup-simplify]: Simplify c into c 0.658 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.658 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 0.658 * [taylor]: Taking taylor expansion of (pow d 2) in d 0.658 * [taylor]: Taking taylor expansion of d in d 0.658 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify 1 into 1 0.658 * [backup-simplify]: Simplify (* 1 1) into 1 0.658 * [backup-simplify]: Simplify (/ 1 1) into 1 0.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 0.658 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.658 * [taylor]: Taking taylor expansion of c in c 0.658 * [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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 0.659 * [taylor]: Taking taylor expansion of (pow d 2) 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 (* d d) into (pow d 2) 0.659 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 0.659 * [taylor]: Taking taylor expansion of (pow c 2) 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 0.660 * [backup-simplify]: Simplify (/ 1 1) into 1 0.660 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 0.660 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.660 * [taylor]: Taking taylor expansion of d in c 0.660 * [backup-simplify]: Simplify d into d 0.660 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.660 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 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 0.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.662 * [backup-simplify]: Simplify (+ 0 0) into 0 0.662 * [taylor]: Taking taylor expansion of 0 in d 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.663 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 0.663 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 0.663 * [taylor]: Taking taylor expansion of (pow d 2) 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 0.664 * [backup-simplify]: Simplify (* 1 1) into 1 0.664 * [backup-simplify]: Simplify (/ 1 1) into 1 0.664 * [backup-simplify]: Simplify 1 into 1 0.664 * [backup-simplify]: Simplify 1 into 1 0.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.666 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 0.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 0.667 * [backup-simplify]: Simplify (+ 0 0) into 0 0.667 * [taylor]: Taking taylor expansion of 0 in d 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.670 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 0.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 0.671 * [backup-simplify]: Simplify (+ 0 0) into 0 0.671 * [taylor]: Taking taylor expansion of 0 in d 0.671 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 c))) 2)) (* 1 (pow (* (/ 1 (/ 1 d)) 1) 2))) into (+ (pow c 2) (pow d 2)) 0.673 * [backup-simplify]: Simplify (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 0.673 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in (c d) around 0 0.673 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 0.674 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 0.674 * [taylor]: Taking taylor expansion of (pow c 2) in d 0.674 * [taylor]: Taking taylor expansion of c in d 0.674 * [backup-simplify]: Simplify c into c 0.674 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.674 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 0.674 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 0.674 * [taylor]: Taking taylor expansion of (pow d 2) in d 0.674 * [taylor]: Taking taylor expansion of d in d 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 1 into 1 0.674 * [backup-simplify]: Simplify (* 1 1) into 1 0.675 * [backup-simplify]: Simplify (/ 1 1) into 1 0.675 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 0.675 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 0.675 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.675 * [taylor]: Taking taylor expansion of c in c 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify 1 into 1 0.675 * [backup-simplify]: Simplify (* 1 1) into 1 0.675 * [backup-simplify]: Simplify (/ 1 1) into 1 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 0.676 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.676 * [taylor]: Taking taylor expansion of d in c 0.676 * [backup-simplify]: Simplify d into d 0.676 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.676 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 0.676 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.676 * [taylor]: Taking taylor expansion of c in c 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify 1 into 1 0.676 * [backup-simplify]: Simplify (* 1 1) into 1 0.677 * [backup-simplify]: Simplify (/ 1 1) into 1 0.677 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 0.677 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.677 * [taylor]: Taking taylor expansion of d in c 0.677 * [backup-simplify]: Simplify d into d 0.677 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.677 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.677 * [backup-simplify]: Simplify (+ 1 0) into 1 0.677 * [taylor]: Taking taylor expansion of 1 in d 0.677 * [backup-simplify]: Simplify 1 into 1 0.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.679 * [backup-simplify]: Simplify (+ 0 0) into 0 0.679 * [taylor]: Taking taylor expansion of 0 in d 0.679 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.681 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 0.681 * [taylor]: Taking taylor expansion of (pow d 2) in d 0.681 * [taylor]: Taking taylor expansion of d in d 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify 1 into 1 0.681 * [backup-simplify]: Simplify (* 1 1) into 1 0.681 * [backup-simplify]: Simplify (/ 1 1) into 1 0.681 * [backup-simplify]: Simplify 1 into 1 0.681 * [backup-simplify]: Simplify 1 into 1 0.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.683 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 0.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 0.684 * [backup-simplify]: Simplify (+ 0 0) into 0 0.684 * [taylor]: Taking taylor expansion of 0 in d 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.687 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 0.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 0.688 * [backup-simplify]: Simplify (+ 0 0) into 0 0.688 * [taylor]: Taking taylor expansion of 0 in d 0.688 * [backup-simplify]: Simplify 0 into 0 0.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.690 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- c)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- d))) 1) 2))) into (+ (pow c 2) (pow d 2)) 0.690 * * * [progress]: simplifying candidates 0.690 * * * * [progress]: [ 1 / 65 ] simplifiying candidate # 0.690 * * * * [progress]: [ 2 / 65 ] simplifiying candidate # 0.690 * * * * [progress]: [ 3 / 65 ] simplifiying candidate # 0.690 * * * * [progress]: [ 4 / 65 ] simplifiying candidate # 0.691 * * * * [progress]: [ 5 / 65 ] simplifiying candidate # 0.691 * * * * [progress]: [ 6 / 65 ] simplifiying candidate # 0.691 * * * * [progress]: [ 7 / 65 ] simplifiying candidate # 0.691 * * * * [progress]: [ 8 / 65 ] simplifiying candidate # 0.691 * * * * [progress]: [ 9 / 65 ] simplifiying candidate # 0.691 * * * * [progress]: [ 10 / 65 ] simplifiying candidate # 0.691 * * * * [progress]: [ 11 / 65 ] simplifiying candidate # 0.691 * * * * [progress]: [ 12 / 65 ] simplifiying candidate # 0.691 * * * * [progress]: [ 13 / 65 ] simplifiying candidate # 0.691 * * * * [progress]: [ 14 / 65 ] simplifiying candidate # 0.691 * * * * [progress]: [ 15 / 65 ] simplifiying candidate # 0.691 * * * * [progress]: [ 16 / 65 ] simplifiying candidate # 0.691 * * * * [progress]: [ 17 / 65 ] simplifiying candidate # 0.691 * * * * [progress]: [ 18 / 65 ] simplifiying candidate # 0.691 * * * * [progress]: [ 19 / 65 ] simplifiying candidate # 0.691 * * * * [progress]: [ 20 / 65 ] simplifiying candidate # 0.691 * * * * [progress]: [ 21 / 65 ] simplifiying candidate # 0.691 * * * * [progress]: [ 22 / 65 ] simplifiying candidate # 0.692 * * * * [progress]: [ 23 / 65 ] simplifiying candidate # 0.692 * * * * [progress]: [ 24 / 65 ] simplifiying candidate # 0.692 * * * * [progress]: [ 25 / 65 ] simplifiying candidate # 0.692 * * * * [progress]: [ 26 / 65 ] simplifiying candidate # 0.692 * * * * [progress]: [ 27 / 65 ] simplifiying candidate # 0.692 * * * * [progress]: [ 28 / 65 ] simplifiying candidate # 0.692 * * * * [progress]: [ 29 / 65 ] simplifiying candidate # 0.692 * * * * [progress]: [ 30 / 65 ] simplifiying candidate # 0.692 * * * * [progress]: [ 31 / 65 ] simplifiying candidate # 0.692 * * * * [progress]: [ 32 / 65 ] simplifiying candidate #real (real->posit16 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))> 0.692 * * * * [progress]: [ 33 / 65 ] simplifiying candidate # 0.692 * * * * [progress]: [ 34 / 65 ] simplifiying candidate # 0.692 * * * * [progress]: [ 35 / 65 ] simplifiying candidate # 0.692 * * * * [progress]: [ 36 / 65 ] simplifiying candidate # 0.692 * * * * [progress]: [ 37 / 65 ] simplifiying candidate # 0.692 * * * * [progress]: [ 38 / 65 ] simplifiying candidate # 0.692 * * * * [progress]: [ 39 / 65 ] simplifiying candidate # 0.692 * * * * [progress]: [ 40 / 65 ] simplifiying candidate # 0.693 * * * * [progress]: [ 41 / 65 ] simplifiying candidate # 0.693 * * * * [progress]: [ 42 / 65 ] simplifiying candidate # 0.693 * * * * [progress]: [ 43 / 65 ] simplifiying candidate #real (real->posit16 (+ (* a c) (* b d)))) (+ (* c c) (* d d))))> 0.693 * * * * [progress]: [ 44 / 65 ] simplifiying candidate # 0.693 * * * * [progress]: [ 45 / 65 ] simplifiying candidate # 0.693 * * * * [progress]: [ 46 / 65 ] simplifiying candidate # 0.693 * * * * [progress]: [ 47 / 65 ] simplifiying candidate # 0.693 * * * * [progress]: [ 48 / 65 ] simplifiying candidate # 0.693 * * * * [progress]: [ 49 / 65 ] simplifiying candidate # 0.693 * * * * [progress]: [ 50 / 65 ] simplifiying candidate # 0.693 * * * * [progress]: [ 51 / 65 ] simplifiying candidate # 0.693 * * * * [progress]: [ 52 / 65 ] simplifiying candidate # 0.693 * * * * [progress]: [ 53 / 65 ] simplifiying candidate # 0.693 * * * * [progress]: [ 54 / 65 ] simplifiying candidate # 0.693 * * * * [progress]: [ 55 / 65 ] simplifiying candidate #real (real->posit16 (+ (* c c) (* d d))))))> 0.693 * * * * [progress]: [ 56 / 65 ] simplifiying candidate # 0.693 * * * * [progress]: [ 57 / 65 ] simplifiying candidate # 0.693 * * * * [progress]: [ 58 / 65 ] simplifiying candidate # 0.693 * * * * [progress]: [ 59 / 65 ] simplifiying candidate # 0.693 * * * * [progress]: [ 60 / 65 ] simplifiying candidate # 0.693 * * * * [progress]: [ 61 / 65 ] simplifiying candidate # 0.694 * * * * [progress]: [ 62 / 65 ] simplifiying candidate # 0.694 * * * * [progress]: [ 63 / 65 ] simplifiying candidate # 0.694 * * * * [progress]: [ 64 / 65 ] simplifiying candidate # 0.694 * * * * [progress]: [ 65 / 65 ] simplifiying candidate # 0.695 * [simplify]: Simplifying: (- (log (+ (* a c) (* b d))) (log (+ (* c c) (* d d)))) (log (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) (exp (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) (/ (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d)))) (* (cbrt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) (cbrt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) (* (* (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) (sqrt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) (sqrt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) (- (+ (* a c) (* b d))) (- (+ (* c c) (* d d))) (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d)))) (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d))) (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* a c) (* b d))) 1) (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d))) (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (cbrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (/ 1 1) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ 1 (+ (* c c) (* d d))) (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/ (+ (* a c) (* b d)) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) 1) (/ (+ (* c c) (* d d)) (cbrt (+ (* a c) (* b d)))) (/ (+ (* c c) (* d d)) (sqrt (+ (* a c) (* b d)))) (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/ (+ (* a c) (* b d)) (+ (pow (* c c) 3) (pow (* d d) 3))) (/ (+ (* a c) (* b d)) (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (* (+ (* c c) (* d d)) (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d))))) (* (+ (* c c) (* d d)) (- (* a c) (* b d))) (real->posit16 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) (* (exp (* a c)) (exp (* b d))) (log (+ (* a c) (* b d))) (exp (+ (* a c) (* b d))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (cbrt (+ (* a c) (* b d))) (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (sqrt (+ (* a c) (* b d))) (sqrt (+ (* a c) (* b d))) (+ (pow (* a c) 3) (pow (* b d) 3)) (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d)))) (- (* (* a c) (* a c)) (* (* b d) (* b d))) (- (* a c) (* b d)) (real->posit16 (+ (* a c) (* b d))) (* (exp (* c c)) (exp (* d d))) (log (+ (* c c) (* d d))) (exp (+ (* c c) (* d d))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* c c) (* d d))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d))) (+ (pow (* c c) 3) (pow (* d d) 3)) (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))) (- (* (* c c) (* c c)) (* (* d d) (* d d))) (- (* c c) (* d d)) (real->posit16 (+ (* c c) (* d d))) 0 0 0 0 (+ (* a c) (* b d)) (+ (* a c) (* b d)) (+ (pow d 2) (pow c 2)) (+ (pow c 2) (pow d 2)) (+ (pow c 2) (pow d 2)) 0.696 * * [simplify]: iteration 0: 99 enodes 0.728 * * [simplify]: iteration 1: 282 enodes 0.839 * * [simplify]: iteration 2: 1000 enodes 1.061 * * [simplify]: iteration 3: 2004 enodes 1.409 * * [simplify]: iteration complete: 2004 enodes 1.409 * * [simplify]: Extracting #0: cost 59 inf + 0 1.410 * * [simplify]: Extracting #1: cost 220 inf + 2 1.412 * * [simplify]: Extracting #2: cost 589 inf + 258 1.417 * * [simplify]: Extracting #3: cost 586 inf + 18655 1.439 * * [simplify]: Extracting #4: cost 286 inf + 73773 1.480 * * [simplify]: Extracting #5: cost 113 inf + 119859 1.515 * * [simplify]: Extracting #6: cost 17 inf + 140154 1.546 * * [simplify]: Extracting #7: cost 0 inf + 145138 1.579 * [simplify]: Simplified to: (log (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))) (log (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))) (exp (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))) (* (/ (+ (* b d) (* a c)) (+ (* d d) (* c c))) (* (/ (+ (* b d) (* a c)) (+ (* d d) (* c c))) (/ (+ (* b d) (* a c)) (+ (* d d) (* c c))))) (* (cbrt (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))) (cbrt (/ (+ (* b d) (* a c)) (+ (* d d) (* c c))))) (cbrt (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))) (* (/ (+ (* b d) (* a c)) (+ (* d d) (* c c))) (* (/ (+ (* b d) (* a c)) (+ (* d d) (* c c))) (/ (+ (* b d) (* a c)) (+ (* d d) (* c c))))) (sqrt (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))) (sqrt (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))) (- (+ (* b d) (* a c))) (- (+ (* c c) (* d d))) (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c)))) (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c)))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* d d) (* c c)))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (cbrt (+ (* b d) (* a c))) (+ (* d d) (* c c))) (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))) (/ (sqrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c)))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* d d) (* c c)))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* b d) (* a c))) (+ (* d d) (* c c))) (/ 1 (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))) (/ (+ (* b d) (* a c)) (cbrt (+ (* d d) (* c c)))) (/ 1 (sqrt (+ (* d d) (* c c)))) (/ (+ (* b d) (* a c)) (sqrt (+ (* d d) (* c c)))) 1 (/ (+ (* b d) (* a c)) (+ (* d d) (* c c))) (/ 1 (+ (* d d) (* c c))) (/ (+ (* d d) (* c c)) (+ (* b d) (* a c))) (/ (+ (* b d) (* a c)) (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c))))) (/ (+ (* b d) (* a c)) (sqrt (+ (* d d) (* c c)))) (+ (* b d) (* a c)) (/ (+ (* d d) (* c c)) (cbrt (+ (* b d) (* a c)))) (/ (+ (* d d) (* c c)) (sqrt (+ (* b d) (* a c)))) (/ (+ (* d d) (* c c)) (+ (* b d) (* a c))) (/ (+ (* b d) (* a c)) (+ (* (* d (* d d)) (* d (* d d))) (* (* c c) (* (* c c) (* c c))))) (/ (+ (* b d) (* a c)) (* (+ (* c c) (* d d)) (- (* c c) (* d d)))) (* (+ (* (* a c) (* a c)) (* (- (* b d) (* a c)) (* b d))) (+ (* d d) (* c c))) (* (- (* a c) (* b d)) (+ (* d d) (* c c))) (real->posit16 (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))) (exp (+ (* b d) (* a c))) (log (+ (* b d) (* a c))) (exp (+ (* b d) (* a c))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (cbrt (+ (* b d) (* a c))) (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (sqrt (+ (* b d) (* a c))) (sqrt (+ (* b d) (* a c))) (+ (* (* (* b d) (* b d)) (* b d)) (* (* (* a c) (* a c)) (* a c))) (+ (* (* a c) (* a c)) (* (- (* b d) (* a c)) (* b d))) (- (* (* a c) (* a c)) (* (* b d) (* b d))) (- (* a c) (* b d)) (real->posit16 (+ (* b d) (* a c))) (exp (+ (* d d) (* c c))) (log (+ (* d d) (* c c))) (exp (+ (* d d) (* c c))) (* (cbrt (+ (* d d) (* c c))) (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* d d) (* c c))) (* (* (+ (* d d) (* c c)) (+ (* d d) (* c c))) (+ (* d d) (* c c))) (sqrt (+ (* d d) (* c c))) (sqrt (+ (* d d) (* c c))) (+ (* (* d (* d d)) (* d (* d d))) (* (* c c) (* (* c c) (* c c)))) (+ (* (* d d) (- (* d d) (* c c))) (* (* c c) (* c c))) (* (+ (* c c) (* d d)) (- (* c c) (* d d))) (* (+ c d) (- c d)) (real->posit16 (+ (* d d) (* c c))) 0 0 0 0 (+ (* b d) (* a c)) (+ (* b d) (* a c)) (+ (* d d) (* c c)) (+ (* d d) (* c c)) (+ (* d d) (* c c)) 1.586 * * * [progress]: adding candidates to table 2.175 * * [progress]: iteration 2 / 4 2.175 * * * [progress]: picking best candidate 2.203 * * * * [pick]: Picked # 2.203 * * * [progress]: localizing error 2.233 * * * [progress]: generating rewritten candidates 2.233 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.239 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.245 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.273 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.320 * * * [progress]: generating series expansions 2.320 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.320 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2))) 2.320 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0 2.320 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d 2.320 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 2.320 * [taylor]: Taking taylor expansion of (pow c 2) in d 2.320 * [taylor]: Taking taylor expansion of c in d 2.320 * [backup-simplify]: Simplify c into c 2.320 * [taylor]: Taking taylor expansion of (pow d 2) in d 2.320 * [taylor]: Taking taylor expansion of d in d 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify 1 into 1 2.320 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.320 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 2.320 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c 2.321 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 2.321 * [backup-simplify]: Simplify (+ 0 0) into 0 2.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 2.321 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 2.321 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 2.321 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.321 * [taylor]: Taking taylor expansion of c in c 2.321 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify 1 into 1 2.321 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.321 * [taylor]: Taking taylor expansion of d in c 2.321 * [backup-simplify]: Simplify d into d 2.321 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.321 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 2.321 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 2.322 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 2.322 * [backup-simplify]: Simplify (+ 0 0) into 0 2.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 2.322 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 2.322 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 2.322 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.322 * [taylor]: Taking taylor expansion of c in c 2.322 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify 1 into 1 2.322 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.322 * [taylor]: Taking taylor expansion of d in c 2.322 * [backup-simplify]: Simplify d into d 2.322 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.322 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 2.322 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 2.322 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 2.323 * [backup-simplify]: Simplify (+ 0 0) into 0 2.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 2.323 * [taylor]: Taking taylor expansion of d in d 2.323 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify 1 into 1 2.323 * [backup-simplify]: Simplify 0 into 0 2.323 * [taylor]: Taking taylor expansion of 0 in d 2.323 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify 1 into 1 2.323 * [backup-simplify]: Simplify (* 1 1) into 1 2.323 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 2.324 * [backup-simplify]: Simplify (+ 1 0) into 1 2.324 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) 2.324 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d 2.324 * [taylor]: Taking taylor expansion of 1/2 in d 2.324 * [backup-simplify]: Simplify 1/2 into 1/2 2.324 * [taylor]: Taking taylor expansion of d in d 2.325 * [backup-simplify]: Simplify 0 into 0 2.325 * [backup-simplify]: Simplify 1 into 1 2.325 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.325 * [backup-simplify]: Simplify 0 into 0 2.325 * [backup-simplify]: Simplify 0 into 0 2.325 * [backup-simplify]: Simplify 0 into 0 2.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.326 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 2.327 * [backup-simplify]: Simplify (+ 0 0) into 0 2.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 2.327 * [taylor]: Taking taylor expansion of 0 in d 2.327 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.327 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify (* 1 (* d 1)) into d 2.328 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 2.328 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 2.328 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 2.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 2.328 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 2.328 * [taylor]: Taking taylor expansion of (pow c 2) in d 2.328 * [taylor]: Taking taylor expansion of c in d 2.328 * [backup-simplify]: Simplify c into c 2.328 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.328 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 2.328 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 2.328 * [taylor]: Taking taylor expansion of (pow d 2) in d 2.328 * [taylor]: Taking taylor expansion of d in d 2.328 * [backup-simplify]: Simplify 0 into 0 2.328 * [backup-simplify]: Simplify 1 into 1 2.328 * [backup-simplify]: Simplify (* 1 1) into 1 2.328 * [backup-simplify]: Simplify (/ 1 1) into 1 2.329 * [backup-simplify]: Simplify (+ 0 1) into 1 2.329 * [backup-simplify]: Simplify (sqrt 1) into 1 2.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.330 * [backup-simplify]: Simplify (+ 0 0) into 0 2.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.330 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 2.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 2.330 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 2.330 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.330 * [taylor]: Taking taylor expansion of c in c 2.330 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify 1 into 1 2.331 * [backup-simplify]: Simplify (* 1 1) into 1 2.331 * [backup-simplify]: Simplify (/ 1 1) into 1 2.331 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 2.331 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.331 * [taylor]: Taking taylor expansion of d in c 2.331 * [backup-simplify]: Simplify d into d 2.331 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.331 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.331 * [backup-simplify]: Simplify (+ 1 0) into 1 2.332 * [backup-simplify]: Simplify (sqrt 1) into 1 2.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.333 * [backup-simplify]: Simplify (+ 0 0) into 0 2.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.333 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 2.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 2.333 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 2.333 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.333 * [taylor]: Taking taylor expansion of c in c 2.333 * [backup-simplify]: Simplify 0 into 0 2.333 * [backup-simplify]: Simplify 1 into 1 2.333 * [backup-simplify]: Simplify (* 1 1) into 1 2.334 * [backup-simplify]: Simplify (/ 1 1) into 1 2.334 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 2.334 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.334 * [taylor]: Taking taylor expansion of d in c 2.334 * [backup-simplify]: Simplify d into d 2.334 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.334 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.334 * [backup-simplify]: Simplify (+ 1 0) into 1 2.334 * [backup-simplify]: Simplify (sqrt 1) into 1 2.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.335 * [backup-simplify]: Simplify (+ 0 0) into 0 2.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.336 * [taylor]: Taking taylor expansion of 1 in d 2.336 * [backup-simplify]: Simplify 1 into 1 2.336 * [taylor]: Taking taylor expansion of 0 in d 2.336 * [backup-simplify]: Simplify 0 into 0 2.336 * [backup-simplify]: Simplify 1 into 1 2.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.337 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 2.338 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 2.338 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 2.338 * [taylor]: Taking taylor expansion of 1/2 in d 2.338 * [backup-simplify]: Simplify 1/2 into 1/2 2.338 * [taylor]: Taking taylor expansion of (pow d 2) in d 2.338 * [taylor]: Taking taylor expansion of d in d 2.338 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify 1 into 1 2.339 * [backup-simplify]: Simplify (* 1 1) into 1 2.339 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.341 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 2.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 2.342 * [backup-simplify]: Simplify (+ 0 0) into 0 2.342 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 2.342 * [taylor]: Taking taylor expansion of 0 in d 2.342 * [backup-simplify]: Simplify 0 into 0 2.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.343 * [backup-simplify]: Simplify 0 into 0 2.343 * [backup-simplify]: Simplify 0 into 0 2.343 * [backup-simplify]: Simplify 0 into 0 2.343 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c 2.344 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 2.344 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 2.344 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 2.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 2.344 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 2.344 * [taylor]: Taking taylor expansion of (pow c 2) in d 2.344 * [taylor]: Taking taylor expansion of c in d 2.344 * [backup-simplify]: Simplify c into c 2.344 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.344 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 2.344 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 2.344 * [taylor]: Taking taylor expansion of (pow d 2) in d 2.344 * [taylor]: Taking taylor expansion of d in d 2.344 * [backup-simplify]: Simplify 0 into 0 2.344 * [backup-simplify]: Simplify 1 into 1 2.344 * [backup-simplify]: Simplify (* 1 1) into 1 2.344 * [backup-simplify]: Simplify (/ 1 1) into 1 2.345 * [backup-simplify]: Simplify (+ 0 1) into 1 2.345 * [backup-simplify]: Simplify (sqrt 1) into 1 2.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.346 * [backup-simplify]: Simplify (+ 0 0) into 0 2.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.346 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 2.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 2.347 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 2.347 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.347 * [taylor]: Taking taylor expansion of c in c 2.347 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify 1 into 1 2.347 * [backup-simplify]: Simplify (* 1 1) into 1 2.347 * [backup-simplify]: Simplify (/ 1 1) into 1 2.347 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 2.347 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.347 * [taylor]: Taking taylor expansion of d in c 2.347 * [backup-simplify]: Simplify d into d 2.347 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.347 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.348 * [backup-simplify]: Simplify (+ 1 0) into 1 2.348 * [backup-simplify]: Simplify (sqrt 1) into 1 2.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.349 * [backup-simplify]: Simplify (+ 0 0) into 0 2.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 2.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 2.349 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 2.349 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.349 * [taylor]: Taking taylor expansion of c in c 2.349 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify 1 into 1 2.350 * [backup-simplify]: Simplify (* 1 1) into 1 2.350 * [backup-simplify]: Simplify (/ 1 1) into 1 2.350 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 2.350 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.350 * [taylor]: Taking taylor expansion of d in c 2.350 * [backup-simplify]: Simplify d into d 2.350 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.350 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.350 * [backup-simplify]: Simplify (+ 1 0) into 1 2.351 * [backup-simplify]: Simplify (sqrt 1) into 1 2.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.352 * [backup-simplify]: Simplify (+ 0 0) into 0 2.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.352 * [taylor]: Taking taylor expansion of 1 in d 2.352 * [backup-simplify]: Simplify 1 into 1 2.352 * [taylor]: Taking taylor expansion of 0 in d 2.352 * [backup-simplify]: Simplify 0 into 0 2.352 * [backup-simplify]: Simplify 1 into 1 2.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.353 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 2.354 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 2.354 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 2.354 * [taylor]: Taking taylor expansion of 1/2 in d 2.354 * [backup-simplify]: Simplify 1/2 into 1/2 2.354 * [taylor]: Taking taylor expansion of (pow d 2) in d 2.354 * [taylor]: Taking taylor expansion of d in d 2.354 * [backup-simplify]: Simplify 0 into 0 2.354 * [backup-simplify]: Simplify 1 into 1 2.355 * [backup-simplify]: Simplify (* 1 1) into 1 2.355 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.356 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.357 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 2.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 2.357 * [backup-simplify]: Simplify (+ 0 0) into 0 2.358 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 2.358 * [taylor]: Taking taylor expansion of 0 in d 2.358 * [backup-simplify]: Simplify 0 into 0 2.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.359 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) 2.359 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.360 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2))) 2.360 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0 2.360 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d 2.360 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 2.360 * [taylor]: Taking taylor expansion of (pow c 2) in d 2.360 * [taylor]: Taking taylor expansion of c in d 2.360 * [backup-simplify]: Simplify c into c 2.360 * [taylor]: Taking taylor expansion of (pow d 2) in d 2.360 * [taylor]: Taking taylor expansion of d in d 2.360 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify 1 into 1 2.360 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.360 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 2.360 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c 2.360 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 2.360 * [backup-simplify]: Simplify (+ 0 0) into 0 2.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 2.360 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 2.360 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 2.360 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.361 * [taylor]: Taking taylor expansion of c in c 2.361 * [backup-simplify]: Simplify 0 into 0 2.361 * [backup-simplify]: Simplify 1 into 1 2.361 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.361 * [taylor]: Taking taylor expansion of d in c 2.361 * [backup-simplify]: Simplify d into d 2.361 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.361 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 2.361 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 2.361 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 2.361 * [backup-simplify]: Simplify (+ 0 0) into 0 2.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 2.361 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 2.361 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 2.361 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.361 * [taylor]: Taking taylor expansion of c in c 2.362 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify 1 into 1 2.362 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.362 * [taylor]: Taking taylor expansion of d in c 2.362 * [backup-simplify]: Simplify d into d 2.362 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.362 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 2.362 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 2.362 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 2.362 * [backup-simplify]: Simplify (+ 0 0) into 0 2.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 2.363 * [taylor]: Taking taylor expansion of d in d 2.363 * [backup-simplify]: Simplify 0 into 0 2.363 * [backup-simplify]: Simplify 1 into 1 2.363 * [backup-simplify]: Simplify 0 into 0 2.363 * [taylor]: Taking taylor expansion of 0 in d 2.363 * [backup-simplify]: Simplify 0 into 0 2.363 * [backup-simplify]: Simplify 0 into 0 2.363 * [backup-simplify]: Simplify 1 into 1 2.367 * [backup-simplify]: Simplify (* 1 1) into 1 2.368 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 2.368 * [backup-simplify]: Simplify (+ 1 0) into 1 2.369 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) 2.369 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d 2.369 * [taylor]: Taking taylor expansion of 1/2 in d 2.369 * [backup-simplify]: Simplify 1/2 into 1/2 2.369 * [taylor]: Taking taylor expansion of d in d 2.369 * [backup-simplify]: Simplify 0 into 0 2.369 * [backup-simplify]: Simplify 1 into 1 2.370 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.371 * [backup-simplify]: Simplify 0 into 0 2.371 * [backup-simplify]: Simplify 0 into 0 2.371 * [backup-simplify]: Simplify 0 into 0 2.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.372 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 2.372 * [backup-simplify]: Simplify (+ 0 0) into 0 2.373 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 2.373 * [taylor]: Taking taylor expansion of 0 in d 2.373 * [backup-simplify]: Simplify 0 into 0 2.373 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify (* 1 (* d 1)) into d 2.374 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 2.374 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 2.374 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 2.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 2.375 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 2.375 * [taylor]: Taking taylor expansion of (pow c 2) in d 2.375 * [taylor]: Taking taylor expansion of c in d 2.375 * [backup-simplify]: Simplify c into c 2.375 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.375 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 2.375 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 2.375 * [taylor]: Taking taylor expansion of (pow d 2) in d 2.375 * [taylor]: Taking taylor expansion of d in d 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify 1 into 1 2.375 * [backup-simplify]: Simplify (* 1 1) into 1 2.376 * [backup-simplify]: Simplify (/ 1 1) into 1 2.376 * [backup-simplify]: Simplify (+ 0 1) into 1 2.376 * [backup-simplify]: Simplify (sqrt 1) into 1 2.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.378 * [backup-simplify]: Simplify (+ 0 0) into 0 2.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.379 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 2.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 2.379 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 2.379 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.379 * [taylor]: Taking taylor expansion of c in c 2.379 * [backup-simplify]: Simplify 0 into 0 2.379 * [backup-simplify]: Simplify 1 into 1 2.379 * [backup-simplify]: Simplify (* 1 1) into 1 2.380 * [backup-simplify]: Simplify (/ 1 1) into 1 2.380 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 2.380 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.380 * [taylor]: Taking taylor expansion of d in c 2.380 * [backup-simplify]: Simplify d into d 2.380 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.380 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.380 * [backup-simplify]: Simplify (+ 1 0) into 1 2.381 * [backup-simplify]: Simplify (sqrt 1) into 1 2.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.382 * [backup-simplify]: Simplify (+ 0 0) into 0 2.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.383 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 2.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 2.383 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 2.383 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.383 * [taylor]: Taking taylor expansion of c in c 2.383 * [backup-simplify]: Simplify 0 into 0 2.383 * [backup-simplify]: Simplify 1 into 1 2.383 * [backup-simplify]: Simplify (* 1 1) into 1 2.384 * [backup-simplify]: Simplify (/ 1 1) into 1 2.384 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 2.384 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.384 * [taylor]: Taking taylor expansion of d in c 2.384 * [backup-simplify]: Simplify d into d 2.384 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.384 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.385 * [backup-simplify]: Simplify (+ 1 0) into 1 2.385 * [backup-simplify]: Simplify (sqrt 1) into 1 2.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.386 * [backup-simplify]: Simplify (+ 0 0) into 0 2.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.387 * [taylor]: Taking taylor expansion of 1 in d 2.387 * [backup-simplify]: Simplify 1 into 1 2.387 * [taylor]: Taking taylor expansion of 0 in d 2.387 * [backup-simplify]: Simplify 0 into 0 2.387 * [backup-simplify]: Simplify 1 into 1 2.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.388 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 2.389 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 2.389 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 2.389 * [taylor]: Taking taylor expansion of 1/2 in d 2.389 * [backup-simplify]: Simplify 1/2 into 1/2 2.389 * [taylor]: Taking taylor expansion of (pow d 2) in d 2.389 * [taylor]: Taking taylor expansion of d in d 2.389 * [backup-simplify]: Simplify 0 into 0 2.389 * [backup-simplify]: Simplify 1 into 1 2.389 * [backup-simplify]: Simplify (* 1 1) into 1 2.390 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.390 * [backup-simplify]: Simplify 0 into 0 2.390 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.392 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 2.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 2.392 * [backup-simplify]: Simplify (+ 0 0) into 0 2.392 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 2.392 * [taylor]: Taking taylor expansion of 0 in d 2.392 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.394 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c 2.394 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 2.394 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 2.394 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 2.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 2.394 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 2.394 * [taylor]: Taking taylor expansion of (pow c 2) in d 2.394 * [taylor]: Taking taylor expansion of c in d 2.394 * [backup-simplify]: Simplify c into c 2.394 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.394 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 2.394 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 2.394 * [taylor]: Taking taylor expansion of (pow d 2) in d 2.394 * [taylor]: Taking taylor expansion of d in d 2.394 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify 1 into 1 2.394 * [backup-simplify]: Simplify (* 1 1) into 1 2.395 * [backup-simplify]: Simplify (/ 1 1) into 1 2.395 * [backup-simplify]: Simplify (+ 0 1) into 1 2.395 * [backup-simplify]: Simplify (sqrt 1) into 1 2.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.396 * [backup-simplify]: Simplify (+ 0 0) into 0 2.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.397 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 2.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 2.397 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 2.397 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.397 * [taylor]: Taking taylor expansion of c in c 2.397 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify 1 into 1 2.397 * [backup-simplify]: Simplify (* 1 1) into 1 2.397 * [backup-simplify]: Simplify (/ 1 1) into 1 2.397 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 2.397 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.397 * [taylor]: Taking taylor expansion of d in c 2.398 * [backup-simplify]: Simplify d into d 2.398 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.398 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.398 * [backup-simplify]: Simplify (+ 1 0) into 1 2.398 * [backup-simplify]: Simplify (sqrt 1) into 1 2.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.399 * [backup-simplify]: Simplify (+ 0 0) into 0 2.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.400 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 2.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 2.400 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 2.400 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.400 * [taylor]: Taking taylor expansion of c in c 2.400 * [backup-simplify]: Simplify 0 into 0 2.400 * [backup-simplify]: Simplify 1 into 1 2.400 * [backup-simplify]: Simplify (* 1 1) into 1 2.400 * [backup-simplify]: Simplify (/ 1 1) into 1 2.400 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 2.400 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.400 * [taylor]: Taking taylor expansion of d in c 2.400 * [backup-simplify]: Simplify d into d 2.400 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.400 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.401 * [backup-simplify]: Simplify (+ 1 0) into 1 2.401 * [backup-simplify]: Simplify (sqrt 1) into 1 2.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.402 * [backup-simplify]: Simplify (+ 0 0) into 0 2.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.402 * [taylor]: Taking taylor expansion of 1 in d 2.403 * [backup-simplify]: Simplify 1 into 1 2.403 * [taylor]: Taking taylor expansion of 0 in d 2.403 * [backup-simplify]: Simplify 0 into 0 2.403 * [backup-simplify]: Simplify 1 into 1 2.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.404 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 2.404 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 2.405 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 2.405 * [taylor]: Taking taylor expansion of 1/2 in d 2.405 * [backup-simplify]: Simplify 1/2 into 1/2 2.405 * [taylor]: Taking taylor expansion of (pow d 2) in d 2.405 * [taylor]: Taking taylor expansion of d in d 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify 1 into 1 2.405 * [backup-simplify]: Simplify (* 1 1) into 1 2.405 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.407 * [backup-simplify]: Simplify 0 into 0 2.407 * [backup-simplify]: Simplify 0 into 0 2.407 * [backup-simplify]: Simplify 0 into 0 2.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.409 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 2.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 2.410 * [backup-simplify]: Simplify (+ 0 0) into 0 2.410 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 2.410 * [taylor]: Taking taylor expansion of 0 in d 2.410 * [backup-simplify]: Simplify 0 into 0 2.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.412 * [backup-simplify]: Simplify 0 into 0 2.412 * [backup-simplify]: Simplify 0 into 0 2.412 * [backup-simplify]: Simplify 0 into 0 2.412 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) 2.412 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.413 * [backup-simplify]: Simplify (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) into (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) 2.413 * [approximate]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in (a c b d) around 0 2.413 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in d 2.413 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d 2.413 * [taylor]: Taking taylor expansion of (* a c) in d 2.413 * [taylor]: Taking taylor expansion of a in d 2.413 * [backup-simplify]: Simplify a into a 2.413 * [taylor]: Taking taylor expansion of c in d 2.413 * [backup-simplify]: Simplify c into c 2.413 * [taylor]: Taking taylor expansion of (* b d) in d 2.413 * [taylor]: Taking taylor expansion of b in d 2.413 * [backup-simplify]: Simplify b into b 2.413 * [taylor]: Taking taylor expansion of d in d 2.413 * [backup-simplify]: Simplify 0 into 0 2.413 * [backup-simplify]: Simplify 1 into 1 2.413 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in d 2.413 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in d 2.413 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 2.413 * [taylor]: Taking taylor expansion of (pow c 2) in d 2.413 * [taylor]: Taking taylor expansion of c in d 2.413 * [backup-simplify]: Simplify c into c 2.413 * [taylor]: Taking taylor expansion of (pow d 2) in d 2.413 * [taylor]: Taking taylor expansion of d in d 2.413 * [backup-simplify]: Simplify 0 into 0 2.413 * [backup-simplify]: Simplify 1 into 1 2.413 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.414 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 2.414 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 2.414 * [backup-simplify]: Simplify (sqrt (/ 1 (pow c 2))) into (/ 1 c) 2.414 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 2.414 * [backup-simplify]: Simplify (+ 0 0) into 0 2.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 2.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow c 2))))) into 0 2.415 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in b 2.415 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b 2.415 * [taylor]: Taking taylor expansion of (* a c) in b 2.415 * [taylor]: Taking taylor expansion of a in b 2.415 * [backup-simplify]: Simplify a into a 2.415 * [taylor]: Taking taylor expansion of c in b 2.415 * [backup-simplify]: Simplify c into c 2.415 * [taylor]: Taking taylor expansion of (* b d) in b 2.415 * [taylor]: Taking taylor expansion of b in b 2.415 * [backup-simplify]: Simplify 0 into 0 2.415 * [backup-simplify]: Simplify 1 into 1 2.415 * [taylor]: Taking taylor expansion of d in b 2.415 * [backup-simplify]: Simplify d into d 2.415 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in b 2.415 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in b 2.415 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b 2.415 * [taylor]: Taking taylor expansion of (pow c 2) in b 2.415 * [taylor]: Taking taylor expansion of c in b 2.415 * [backup-simplify]: Simplify c into c 2.415 * [taylor]: Taking taylor expansion of (pow d 2) in b 2.415 * [taylor]: Taking taylor expansion of d in b 2.415 * [backup-simplify]: Simplify d into d 2.415 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.415 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.415 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 2.415 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2))) 2.416 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) 2.416 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 2.416 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 2.416 * [backup-simplify]: Simplify (+ 0 0) into 0 2.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 2.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0 2.417 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c 2.417 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c 2.417 * [taylor]: Taking taylor expansion of (* a c) in c 2.417 * [taylor]: Taking taylor expansion of a in c 2.417 * [backup-simplify]: Simplify a into a 2.417 * [taylor]: Taking taylor expansion of c in c 2.417 * [backup-simplify]: Simplify 0 into 0 2.417 * [backup-simplify]: Simplify 1 into 1 2.417 * [taylor]: Taking taylor expansion of (* b d) in c 2.417 * [taylor]: Taking taylor expansion of b in c 2.417 * [backup-simplify]: Simplify b into b 2.417 * [taylor]: Taking taylor expansion of d in c 2.417 * [backup-simplify]: Simplify d into d 2.417 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c 2.417 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c 2.417 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 2.417 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.417 * [taylor]: Taking taylor expansion of c in c 2.417 * [backup-simplify]: Simplify 0 into 0 2.417 * [backup-simplify]: Simplify 1 into 1 2.417 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.417 * [taylor]: Taking taylor expansion of d in c 2.417 * [backup-simplify]: Simplify d into d 2.417 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.417 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 2.418 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.418 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d) 2.418 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 2.418 * [backup-simplify]: Simplify (+ 0 0) into 0 2.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 2.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0 2.418 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a 2.418 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 2.418 * [taylor]: Taking taylor expansion of (* a c) in a 2.418 * [taylor]: Taking taylor expansion of a in a 2.419 * [backup-simplify]: Simplify 0 into 0 2.419 * [backup-simplify]: Simplify 1 into 1 2.419 * [taylor]: Taking taylor expansion of c in a 2.419 * [backup-simplify]: Simplify c into c 2.419 * [taylor]: Taking taylor expansion of (* b d) in a 2.419 * [taylor]: Taking taylor expansion of b in a 2.419 * [backup-simplify]: Simplify b into b 2.419 * [taylor]: Taking taylor expansion of d in a 2.419 * [backup-simplify]: Simplify d into d 2.419 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a 2.419 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a 2.419 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a 2.419 * [taylor]: Taking taylor expansion of (pow c 2) in a 2.419 * [taylor]: Taking taylor expansion of c in a 2.419 * [backup-simplify]: Simplify c into c 2.419 * [taylor]: Taking taylor expansion of (pow d 2) in a 2.419 * [taylor]: Taking taylor expansion of d in a 2.419 * [backup-simplify]: Simplify d into d 2.419 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.419 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.419 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 2.419 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2))) 2.419 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) 2.420 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 2.420 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 2.420 * [backup-simplify]: Simplify (+ 0 0) into 0 2.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 2.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0 2.420 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a 2.420 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 2.420 * [taylor]: Taking taylor expansion of (* a c) in a 2.420 * [taylor]: Taking taylor expansion of a in a 2.420 * [backup-simplify]: Simplify 0 into 0 2.420 * [backup-simplify]: Simplify 1 into 1 2.420 * [taylor]: Taking taylor expansion of c in a 2.420 * [backup-simplify]: Simplify c into c 2.420 * [taylor]: Taking taylor expansion of (* b d) in a 2.420 * [taylor]: Taking taylor expansion of b in a 2.420 * [backup-simplify]: Simplify b into b 2.420 * [taylor]: Taking taylor expansion of d in a 2.420 * [backup-simplify]: Simplify d into d 2.420 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a 2.420 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a 2.420 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a 2.420 * [taylor]: Taking taylor expansion of (pow c 2) in a 2.420 * [taylor]: Taking taylor expansion of c in a 2.420 * [backup-simplify]: Simplify c into c 2.420 * [taylor]: Taking taylor expansion of (pow d 2) in a 2.421 * [taylor]: Taking taylor expansion of d in a 2.421 * [backup-simplify]: Simplify d into d 2.421 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.421 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.421 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 2.421 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2))) 2.421 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) 2.421 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 2.421 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 2.421 * [backup-simplify]: Simplify (+ 0 0) into 0 2.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 2.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0 2.422 * [backup-simplify]: Simplify (* 0 c) into 0 2.422 * [backup-simplify]: Simplify (* b d) into (* b d) 2.422 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 2.422 * [backup-simplify]: Simplify (* (* b d) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) into (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) 2.422 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) in c 2.422 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c 2.422 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c 2.422 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 2.422 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.422 * [taylor]: Taking taylor expansion of c in c 2.422 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify 1 into 1 2.422 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.422 * [taylor]: Taking taylor expansion of d in c 2.422 * [backup-simplify]: Simplify d into d 2.422 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.422 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 2.422 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.422 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d) 2.422 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 2.423 * [backup-simplify]: Simplify (+ 0 0) into 0 2.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 2.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0 2.423 * [taylor]: Taking taylor expansion of (* b d) in c 2.423 * [taylor]: Taking taylor expansion of b in c 2.423 * [backup-simplify]: Simplify b into b 2.423 * [taylor]: Taking taylor expansion of d in c 2.423 * [backup-simplify]: Simplify d into d 2.423 * [backup-simplify]: Simplify (* b d) into (* b d) 2.423 * [backup-simplify]: Simplify (* (/ 1 d) (* b d)) into b 2.423 * [taylor]: Taking taylor expansion of b in b 2.423 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify 1 into 1 2.423 * [taylor]: Taking taylor expansion of 0 in d 2.423 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 2.423 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 2.423 * [backup-simplify]: Simplify (+ c 0) into c 2.424 * [backup-simplify]: Simplify (+ (* (* b d) 0) (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) 2.424 * [taylor]: Taking taylor expansion of (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c 2.424 * [taylor]: Taking taylor expansion of c in c 2.424 * [backup-simplify]: Simplify 0 into 0 2.424 * [backup-simplify]: Simplify 1 into 1 2.424 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c 2.424 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c 2.424 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 2.424 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.424 * [taylor]: Taking taylor expansion of c in c 2.424 * [backup-simplify]: Simplify 0 into 0 2.424 * [backup-simplify]: Simplify 1 into 1 2.424 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.424 * [taylor]: Taking taylor expansion of d in c 2.424 * [backup-simplify]: Simplify d into d 2.424 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.424 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 2.424 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.424 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d) 2.424 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 2.425 * [backup-simplify]: Simplify (+ 0 0) into 0 2.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 2.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0 2.425 * [backup-simplify]: Simplify (* 0 (/ 1 d)) into 0 2.425 * [taylor]: Taking taylor expansion of 0 in b 2.425 * [backup-simplify]: Simplify 0 into 0 2.425 * [taylor]: Taking taylor expansion of 0 in d 2.425 * [backup-simplify]: Simplify 0 into 0 2.425 * [backup-simplify]: Simplify 0 into 0 2.425 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 2.425 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (* 0 (* b d))) into 0 2.425 * [taylor]: Taking taylor expansion of 0 in b 2.425 * [backup-simplify]: Simplify 0 into 0 2.425 * [taylor]: Taking taylor expansion of 0 in d 2.425 * [backup-simplify]: Simplify 0 into 0 2.425 * [backup-simplify]: Simplify 0 into 0 2.425 * [taylor]: Taking taylor expansion of 1 in d 2.425 * [backup-simplify]: Simplify 1 into 1 2.425 * [backup-simplify]: Simplify 1 into 1 2.425 * [backup-simplify]: Simplify 0 into 0 2.426 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 2.426 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 2.426 * [backup-simplify]: Simplify (+ 0 0) into 0 2.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))) (* 0 (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 2.427 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0 2.427 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 2.428 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 2.428 * [backup-simplify]: Simplify (+ 0 0) into 0 2.428 * [backup-simplify]: Simplify (+ (* (* b d) 0) (+ (* c 0) (* 0 (sqrt (/ 1 (+ (pow c 2) (pow d 2))))))) into 0 2.428 * [taylor]: Taking taylor expansion of 0 in c 2.428 * [backup-simplify]: Simplify 0 into 0 2.428 * [taylor]: Taking taylor expansion of 0 in b 2.428 * [backup-simplify]: Simplify 0 into 0 2.428 * [taylor]: Taking taylor expansion of 0 in d 2.428 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify 0 into 0 2.429 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1 d))) into (/ 1 d) 2.429 * [taylor]: Taking taylor expansion of (/ 1 d) in b 2.429 * [taylor]: Taking taylor expansion of d in b 2.429 * [backup-simplify]: Simplify d into d 2.429 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 2.429 * [taylor]: Taking taylor expansion of (/ 1 d) in d 2.429 * [taylor]: Taking taylor expansion of d in d 2.429 * [backup-simplify]: Simplify 0 into 0 2.429 * [backup-simplify]: Simplify 1 into 1 2.429 * [backup-simplify]: Simplify (/ 1 1) into 1 2.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.429 * [backup-simplify]: Simplify 0 into 0 2.430 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 2.430 * [backup-simplify]: Simplify (* 1 1) into 1 2.430 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 2.431 * [backup-simplify]: Simplify (+ 1 0) into 1 2.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ 1 (pow d 4))) 2.431 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 4))) (pow 0 2) (+)) (* 2 (/ 1 d))) into (/ -1/2 (pow d 3)) 2.432 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* (/ -1/2 (pow d 3)) (* b d)))) into (- (* 1/2 (/ b (pow d 2)))) 2.432 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ b (pow d 2)))) in b 2.432 * [taylor]: Taking taylor expansion of (* 1/2 (/ b (pow d 2))) in b 2.432 * [taylor]: Taking taylor expansion of 1/2 in b 2.432 * [backup-simplify]: Simplify 1/2 into 1/2 2.432 * [taylor]: Taking taylor expansion of (/ b (pow d 2)) in b 2.432 * [taylor]: Taking taylor expansion of b in b 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify 1 into 1 2.432 * [taylor]: Taking taylor expansion of (pow d 2) in b 2.432 * [taylor]: Taking taylor expansion of d in b 2.432 * [backup-simplify]: Simplify d into d 2.432 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.432 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.432 * [taylor]: Taking taylor expansion of 0 in d 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [taylor]: Taking taylor expansion of 0 in d 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [taylor]: Taking taylor expansion of 0 in d 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify (* 1 (* 1 (* b (* 1 1)))) into b 2.433 * [backup-simplify]: Simplify (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) into (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) 2.433 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in (a c b d) around 0 2.433 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d 2.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 2.433 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 2.433 * [taylor]: Taking taylor expansion of (* b d) in d 2.433 * [taylor]: Taking taylor expansion of b in d 2.433 * [backup-simplify]: Simplify b into b 2.433 * [taylor]: Taking taylor expansion of d in d 2.433 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify 1 into 1 2.433 * [backup-simplify]: Simplify (* b 0) into 0 2.433 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 2.433 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.433 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 2.433 * [taylor]: Taking taylor expansion of (* a c) in d 2.433 * [taylor]: Taking taylor expansion of a in d 2.433 * [backup-simplify]: Simplify a into a 2.433 * [taylor]: Taking taylor expansion of c in d 2.433 * [backup-simplify]: Simplify c into c 2.433 * [backup-simplify]: Simplify (* a c) into (* a c) 2.433 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 2.433 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d 2.433 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 2.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 2.433 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 2.433 * [taylor]: Taking taylor expansion of (pow c 2) in d 2.433 * [taylor]: Taking taylor expansion of c in d 2.433 * [backup-simplify]: Simplify c into c 2.434 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.434 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 2.434 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 2.434 * [taylor]: Taking taylor expansion of (pow d 2) in d 2.434 * [taylor]: Taking taylor expansion of d in d 2.434 * [backup-simplify]: Simplify 0 into 0 2.434 * [backup-simplify]: Simplify 1 into 1 2.434 * [backup-simplify]: Simplify (* 1 1) into 1 2.434 * [backup-simplify]: Simplify (/ 1 1) into 1 2.435 * [backup-simplify]: Simplify (+ 0 1) into 1 2.435 * [backup-simplify]: Simplify (/ 1 1) into 1 2.435 * [backup-simplify]: Simplify (sqrt 1) into 1 2.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.436 * [backup-simplify]: Simplify (+ 0 0) into 0 2.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.437 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b 2.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 2.437 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 2.437 * [taylor]: Taking taylor expansion of (* b d) in b 2.437 * [taylor]: Taking taylor expansion of b in b 2.437 * [backup-simplify]: Simplify 0 into 0 2.437 * [backup-simplify]: Simplify 1 into 1 2.437 * [taylor]: Taking taylor expansion of d in b 2.437 * [backup-simplify]: Simplify d into d 2.437 * [backup-simplify]: Simplify (* 0 d) into 0 2.437 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 2.438 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 2.438 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 2.438 * [taylor]: Taking taylor expansion of (* a c) in b 2.438 * [taylor]: Taking taylor expansion of a in b 2.438 * [backup-simplify]: Simplify a into a 2.438 * [taylor]: Taking taylor expansion of c in b 2.438 * [backup-simplify]: Simplify c into c 2.438 * [backup-simplify]: Simplify (* a c) into (* a c) 2.438 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 2.438 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b 2.438 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 2.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 2.438 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 2.438 * [taylor]: Taking taylor expansion of (pow c 2) in b 2.438 * [taylor]: Taking taylor expansion of c in b 2.438 * [backup-simplify]: Simplify c into c 2.438 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.438 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 2.438 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 2.438 * [taylor]: Taking taylor expansion of (pow d 2) in b 2.438 * [taylor]: Taking taylor expansion of d in b 2.438 * [backup-simplify]: Simplify d into d 2.438 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.438 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.438 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 2.438 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 2.438 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 2.438 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 2.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 2.439 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 2.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 2.439 * [backup-simplify]: Simplify (+ 0 0) into 0 2.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 2.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 2.439 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c 2.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 2.439 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 2.439 * [taylor]: Taking taylor expansion of (* b d) in c 2.439 * [taylor]: Taking taylor expansion of b in c 2.439 * [backup-simplify]: Simplify b into b 2.439 * [taylor]: Taking taylor expansion of d in c 2.439 * [backup-simplify]: Simplify d into d 2.440 * [backup-simplify]: Simplify (* b d) into (* b d) 2.440 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 2.440 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 2.440 * [taylor]: Taking taylor expansion of (* a c) in c 2.440 * [taylor]: Taking taylor expansion of a in c 2.440 * [backup-simplify]: Simplify a into a 2.440 * [taylor]: Taking taylor expansion of c in c 2.440 * [backup-simplify]: Simplify 0 into 0 2.440 * [backup-simplify]: Simplify 1 into 1 2.440 * [backup-simplify]: Simplify (* a 0) into 0 2.440 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 2.440 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.440 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 2.440 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 2.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 2.440 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 2.440 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.440 * [taylor]: Taking taylor expansion of c in c 2.440 * [backup-simplify]: Simplify 0 into 0 2.440 * [backup-simplify]: Simplify 1 into 1 2.440 * [backup-simplify]: Simplify (* 1 1) into 1 2.441 * [backup-simplify]: Simplify (/ 1 1) into 1 2.441 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 2.441 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.441 * [taylor]: Taking taylor expansion of d in c 2.441 * [backup-simplify]: Simplify d into d 2.441 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.441 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.441 * [backup-simplify]: Simplify (+ 1 0) into 1 2.441 * [backup-simplify]: Simplify (/ 1 1) into 1 2.442 * [backup-simplify]: Simplify (sqrt 1) into 1 2.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.443 * [backup-simplify]: Simplify (+ 0 0) into 0 2.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.443 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a 2.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 2.444 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 2.444 * [taylor]: Taking taylor expansion of (* b d) in a 2.444 * [taylor]: Taking taylor expansion of b in a 2.444 * [backup-simplify]: Simplify b into b 2.444 * [taylor]: Taking taylor expansion of d in a 2.444 * [backup-simplify]: Simplify d into d 2.444 * [backup-simplify]: Simplify (* b d) into (* b d) 2.444 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 2.444 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 2.444 * [taylor]: Taking taylor expansion of (* a c) in a 2.444 * [taylor]: Taking taylor expansion of a in a 2.444 * [backup-simplify]: Simplify 0 into 0 2.444 * [backup-simplify]: Simplify 1 into 1 2.444 * [taylor]: Taking taylor expansion of c in a 2.444 * [backup-simplify]: Simplify c into c 2.444 * [backup-simplify]: Simplify (* 0 c) into 0 2.444 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 2.444 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 2.444 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a 2.444 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 2.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 2.444 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 2.444 * [taylor]: Taking taylor expansion of (pow c 2) in a 2.444 * [taylor]: Taking taylor expansion of c in a 2.444 * [backup-simplify]: Simplify c into c 2.444 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.444 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 2.444 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 2.444 * [taylor]: Taking taylor expansion of (pow d 2) in a 2.444 * [taylor]: Taking taylor expansion of d in a 2.444 * [backup-simplify]: Simplify d into d 2.444 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.445 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.445 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 2.445 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 2.445 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 2.445 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 2.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 2.445 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 2.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 2.445 * [backup-simplify]: Simplify (+ 0 0) into 0 2.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 2.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 2.446 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a 2.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 2.446 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 2.446 * [taylor]: Taking taylor expansion of (* b d) in a 2.446 * [taylor]: Taking taylor expansion of b in a 2.446 * [backup-simplify]: Simplify b into b 2.446 * [taylor]: Taking taylor expansion of d in a 2.446 * [backup-simplify]: Simplify d into d 2.446 * [backup-simplify]: Simplify (* b d) into (* b d) 2.446 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 2.446 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 2.446 * [taylor]: Taking taylor expansion of (* a c) in a 2.446 * [taylor]: Taking taylor expansion of a in a 2.446 * [backup-simplify]: Simplify 0 into 0 2.446 * [backup-simplify]: Simplify 1 into 1 2.446 * [taylor]: Taking taylor expansion of c in a 2.446 * [backup-simplify]: Simplify c into c 2.446 * [backup-simplify]: Simplify (* 0 c) into 0 2.446 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 2.446 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 2.446 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a 2.446 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 2.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 2.447 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 2.447 * [taylor]: Taking taylor expansion of (pow c 2) in a 2.447 * [taylor]: Taking taylor expansion of c in a 2.447 * [backup-simplify]: Simplify c into c 2.447 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.447 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 2.447 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 2.447 * [taylor]: Taking taylor expansion of (pow d 2) in a 2.447 * [taylor]: Taking taylor expansion of d in a 2.447 * [backup-simplify]: Simplify d into d 2.447 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.447 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.447 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 2.447 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 2.447 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 2.447 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 2.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 2.447 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 2.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 2.448 * [backup-simplify]: Simplify (+ 0 0) into 0 2.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 2.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 2.448 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 2.448 * [backup-simplify]: Simplify (* (/ 1 c) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) 2.448 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c 2.448 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 2.448 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 2.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 2.448 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 2.448 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.448 * [taylor]: Taking taylor expansion of c in c 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify 1 into 1 2.449 * [backup-simplify]: Simplify (* 1 1) into 1 2.449 * [backup-simplify]: Simplify (/ 1 1) into 1 2.449 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 2.449 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.449 * [taylor]: Taking taylor expansion of d in c 2.449 * [backup-simplify]: Simplify d into d 2.449 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.449 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.449 * [backup-simplify]: Simplify (+ 1 0) into 1 2.450 * [backup-simplify]: Simplify (/ 1 1) into 1 2.450 * [backup-simplify]: Simplify (sqrt 1) into 1 2.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.451 * [backup-simplify]: Simplify (+ 0 0) into 0 2.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.452 * [taylor]: Taking taylor expansion of (/ 1 c) in c 2.452 * [taylor]: Taking taylor expansion of c in c 2.452 * [backup-simplify]: Simplify 0 into 0 2.452 * [backup-simplify]: Simplify 1 into 1 2.452 * [backup-simplify]: Simplify (/ 1 1) into 1 2.452 * [backup-simplify]: Simplify (* 1 1) into 1 2.452 * [taylor]: Taking taylor expansion of 1 in b 2.452 * [backup-simplify]: Simplify 1 into 1 2.453 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 2.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 2.453 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 2.453 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) 2.453 * [taylor]: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c 2.453 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 2.453 * [taylor]: Taking taylor expansion of (* b d) in c 2.453 * [taylor]: Taking taylor expansion of b in c 2.453 * [backup-simplify]: Simplify b into b 2.453 * [taylor]: Taking taylor expansion of d in c 2.453 * [backup-simplify]: Simplify d into d 2.453 * [backup-simplify]: Simplify (* b d) into (* b d) 2.453 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 2.453 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 2.454 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 2.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 2.454 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 2.454 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.454 * [taylor]: Taking taylor expansion of c in c 2.454 * [backup-simplify]: Simplify 0 into 0 2.454 * [backup-simplify]: Simplify 1 into 1 2.454 * [backup-simplify]: Simplify (* 1 1) into 1 2.454 * [backup-simplify]: Simplify (/ 1 1) into 1 2.454 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 2.454 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.454 * [taylor]: Taking taylor expansion of d in c 2.454 * [backup-simplify]: Simplify d into d 2.454 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.454 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.455 * [backup-simplify]: Simplify (+ 1 0) into 1 2.455 * [backup-simplify]: Simplify (/ 1 1) into 1 2.455 * [backup-simplify]: Simplify (sqrt 1) into 1 2.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.456 * [backup-simplify]: Simplify (+ 0 0) into 0 2.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.458 * [taylor]: Taking taylor expansion of 0 in b 2.458 * [backup-simplify]: Simplify 0 into 0 2.458 * [taylor]: Taking taylor expansion of 1 in d 2.458 * [backup-simplify]: Simplify 1 into 1 2.458 * [backup-simplify]: Simplify 1 into 1 2.458 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 2.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 2.459 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 2.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 2.459 * [backup-simplify]: Simplify (+ 0 0) into 0 2.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 2.460 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 2.460 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 2.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 2.461 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 2.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 2.461 * [backup-simplify]: Simplify (+ 0 0) into 0 2.461 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 2.461 * [taylor]: Taking taylor expansion of 0 in c 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [taylor]: Taking taylor expansion of 0 in b 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d)) 2.461 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 2.462 * [taylor]: Taking taylor expansion of (* b d) in b 2.462 * [taylor]: Taking taylor expansion of b in b 2.462 * [backup-simplify]: Simplify 0 into 0 2.462 * [backup-simplify]: Simplify 1 into 1 2.462 * [taylor]: Taking taylor expansion of d in b 2.462 * [backup-simplify]: Simplify d into d 2.462 * [backup-simplify]: Simplify (* 0 d) into 0 2.462 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 2.462 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 2.462 * [taylor]: Taking taylor expansion of (/ 1 d) in d 2.462 * [taylor]: Taking taylor expansion of d in d 2.462 * [backup-simplify]: Simplify 0 into 0 2.462 * [backup-simplify]: Simplify 1 into 1 2.462 * [backup-simplify]: Simplify (/ 1 1) into 1 2.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.463 * [backup-simplify]: Simplify 0 into 0 2.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.464 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 2.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) 2.466 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2)) 2.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2)))) 2.466 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b 2.466 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b 2.466 * [taylor]: Taking taylor expansion of 1/2 in b 2.466 * [backup-simplify]: Simplify 1/2 into 1/2 2.466 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 2.466 * [taylor]: Taking taylor expansion of (pow d 2) in b 2.466 * [taylor]: Taking taylor expansion of d in b 2.466 * [backup-simplify]: Simplify d into d 2.466 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.466 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.466 * [taylor]: Taking taylor expansion of 0 in d 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [taylor]: Taking taylor expansion of 0 in d 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 2.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 2.468 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 2.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 2.468 * [backup-simplify]: Simplify (+ 0 0) into 0 2.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 2.471 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 2.471 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 2.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 2.472 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 2.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 2.473 * [backup-simplify]: Simplify (+ 0 0) into 0 2.473 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))))) into 0 2.473 * [taylor]: Taking taylor expansion of 0 in c 2.473 * [backup-simplify]: Simplify 0 into 0 2.473 * [taylor]: Taking taylor expansion of 0 in b 2.473 * [backup-simplify]: Simplify 0 into 0 2.473 * [taylor]: Taking taylor expansion of 0 in b 2.473 * [backup-simplify]: Simplify 0 into 0 2.473 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 2.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 2.474 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0 2.474 * [taylor]: Taking taylor expansion of 0 in b 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.475 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 2.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 2.476 * [backup-simplify]: Simplify (+ 0 0) into 0 2.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 2.477 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0 2.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0 2.478 * [taylor]: Taking taylor expansion of 0 in b 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [taylor]: Taking taylor expansion of 0 in d 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 2.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 2.478 * [taylor]: Taking taylor expansion of 0 in d 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 a)))))) into a 2.479 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) into (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) 2.479 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in (a c b d) around 0 2.479 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d 2.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 2.479 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 2.479 * [taylor]: Taking taylor expansion of (* b d) in d 2.479 * [taylor]: Taking taylor expansion of b in d 2.479 * [backup-simplify]: Simplify b into b 2.479 * [taylor]: Taking taylor expansion of d in d 2.479 * [backup-simplify]: Simplify 0 into 0 2.479 * [backup-simplify]: Simplify 1 into 1 2.479 * [backup-simplify]: Simplify (* b 0) into 0 2.479 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 2.479 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.479 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 2.479 * [taylor]: Taking taylor expansion of (* a c) in d 2.479 * [taylor]: Taking taylor expansion of a in d 2.479 * [backup-simplify]: Simplify a into a 2.479 * [taylor]: Taking taylor expansion of c in d 2.479 * [backup-simplify]: Simplify c into c 2.479 * [backup-simplify]: Simplify (* a c) into (* a c) 2.479 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 2.479 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d 2.480 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 2.480 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 2.480 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 2.480 * [taylor]: Taking taylor expansion of (pow c 2) in d 2.480 * [taylor]: Taking taylor expansion of c in d 2.480 * [backup-simplify]: Simplify c into c 2.480 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.480 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 2.480 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 2.480 * [taylor]: Taking taylor expansion of (pow d 2) in d 2.480 * [taylor]: Taking taylor expansion of d in d 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify 1 into 1 2.480 * [backup-simplify]: Simplify (* 1 1) into 1 2.480 * [backup-simplify]: Simplify (/ 1 1) into 1 2.481 * [backup-simplify]: Simplify (+ 0 1) into 1 2.481 * [backup-simplify]: Simplify (/ 1 1) into 1 2.481 * [backup-simplify]: Simplify (sqrt 1) into 1 2.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.482 * [backup-simplify]: Simplify (+ 0 0) into 0 2.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.483 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b 2.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 2.483 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 2.483 * [taylor]: Taking taylor expansion of (* b d) in b 2.483 * [taylor]: Taking taylor expansion of b in b 2.483 * [backup-simplify]: Simplify 0 into 0 2.483 * [backup-simplify]: Simplify 1 into 1 2.483 * [taylor]: Taking taylor expansion of d in b 2.483 * [backup-simplify]: Simplify d into d 2.483 * [backup-simplify]: Simplify (* 0 d) into 0 2.483 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 2.483 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 2.483 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 2.483 * [taylor]: Taking taylor expansion of (* a c) in b 2.483 * [taylor]: Taking taylor expansion of a in b 2.483 * [backup-simplify]: Simplify a into a 2.483 * [taylor]: Taking taylor expansion of c in b 2.484 * [backup-simplify]: Simplify c into c 2.484 * [backup-simplify]: Simplify (* a c) into (* a c) 2.484 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 2.484 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b 2.484 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 2.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 2.484 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 2.484 * [taylor]: Taking taylor expansion of (pow c 2) in b 2.484 * [taylor]: Taking taylor expansion of c in b 2.484 * [backup-simplify]: Simplify c into c 2.484 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.484 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 2.484 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 2.484 * [taylor]: Taking taylor expansion of (pow d 2) in b 2.484 * [taylor]: Taking taylor expansion of d in b 2.484 * [backup-simplify]: Simplify d into d 2.484 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.484 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.484 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 2.484 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 2.484 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 2.484 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 2.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 2.484 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 2.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 2.485 * [backup-simplify]: Simplify (+ 0 0) into 0 2.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 2.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 2.486 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c 2.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 2.486 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 2.486 * [taylor]: Taking taylor expansion of (* b d) in c 2.486 * [taylor]: Taking taylor expansion of b in c 2.486 * [backup-simplify]: Simplify b into b 2.486 * [taylor]: Taking taylor expansion of d in c 2.486 * [backup-simplify]: Simplify d into d 2.486 * [backup-simplify]: Simplify (* b d) into (* b d) 2.486 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 2.486 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 2.486 * [taylor]: Taking taylor expansion of (* a c) in c 2.486 * [taylor]: Taking taylor expansion of a in c 2.486 * [backup-simplify]: Simplify a into a 2.486 * [taylor]: Taking taylor expansion of c in c 2.486 * [backup-simplify]: Simplify 0 into 0 2.486 * [backup-simplify]: Simplify 1 into 1 2.486 * [backup-simplify]: Simplify (* a 0) into 0 2.486 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 2.486 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.486 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 2.486 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 2.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 2.486 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 2.486 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.486 * [taylor]: Taking taylor expansion of c in c 2.486 * [backup-simplify]: Simplify 0 into 0 2.486 * [backup-simplify]: Simplify 1 into 1 2.487 * [backup-simplify]: Simplify (* 1 1) into 1 2.487 * [backup-simplify]: Simplify (/ 1 1) into 1 2.487 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 2.487 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.487 * [taylor]: Taking taylor expansion of d in c 2.487 * [backup-simplify]: Simplify d into d 2.487 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.487 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.487 * [backup-simplify]: Simplify (+ 1 0) into 1 2.487 * [backup-simplify]: Simplify (/ 1 1) into 1 2.488 * [backup-simplify]: Simplify (sqrt 1) into 1 2.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.489 * [backup-simplify]: Simplify (+ 0 0) into 0 2.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.490 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a 2.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 2.490 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 2.490 * [taylor]: Taking taylor expansion of (* b d) in a 2.490 * [taylor]: Taking taylor expansion of b in a 2.490 * [backup-simplify]: Simplify b into b 2.490 * [taylor]: Taking taylor expansion of d in a 2.490 * [backup-simplify]: Simplify d into d 2.490 * [backup-simplify]: Simplify (* b d) into (* b d) 2.490 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 2.490 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 2.490 * [taylor]: Taking taylor expansion of (* a c) in a 2.490 * [taylor]: Taking taylor expansion of a in a 2.490 * [backup-simplify]: Simplify 0 into 0 2.490 * [backup-simplify]: Simplify 1 into 1 2.490 * [taylor]: Taking taylor expansion of c in a 2.490 * [backup-simplify]: Simplify c into c 2.490 * [backup-simplify]: Simplify (* 0 c) into 0 2.490 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 2.490 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 2.491 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a 2.491 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 2.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 2.491 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 2.491 * [taylor]: Taking taylor expansion of (pow c 2) in a 2.491 * [taylor]: Taking taylor expansion of c in a 2.491 * [backup-simplify]: Simplify c into c 2.491 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.491 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 2.491 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 2.491 * [taylor]: Taking taylor expansion of (pow d 2) in a 2.491 * [taylor]: Taking taylor expansion of d in a 2.491 * [backup-simplify]: Simplify d into d 2.491 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.491 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.491 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 2.491 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 2.491 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 2.491 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 2.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 2.492 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 2.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 2.492 * [backup-simplify]: Simplify (+ 0 0) into 0 2.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 2.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 2.493 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a 2.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 2.493 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 2.493 * [taylor]: Taking taylor expansion of (* b d) in a 2.493 * [taylor]: Taking taylor expansion of b in a 2.493 * [backup-simplify]: Simplify b into b 2.493 * [taylor]: Taking taylor expansion of d in a 2.493 * [backup-simplify]: Simplify d into d 2.493 * [backup-simplify]: Simplify (* b d) into (* b d) 2.493 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 2.493 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 2.493 * [taylor]: Taking taylor expansion of (* a c) in a 2.493 * [taylor]: Taking taylor expansion of a in a 2.493 * [backup-simplify]: Simplify 0 into 0 2.493 * [backup-simplify]: Simplify 1 into 1 2.493 * [taylor]: Taking taylor expansion of c in a 2.493 * [backup-simplify]: Simplify c into c 2.493 * [backup-simplify]: Simplify (* 0 c) into 0 2.493 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 2.493 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 2.493 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a 2.493 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 2.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 2.493 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 2.493 * [taylor]: Taking taylor expansion of (pow c 2) in a 2.493 * [taylor]: Taking taylor expansion of c in a 2.493 * [backup-simplify]: Simplify c into c 2.493 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.494 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 2.494 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 2.494 * [taylor]: Taking taylor expansion of (pow d 2) in a 2.494 * [taylor]: Taking taylor expansion of d in a 2.494 * [backup-simplify]: Simplify d into d 2.494 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.494 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.494 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 2.494 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 2.494 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 2.494 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 2.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 2.494 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 2.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 2.495 * [backup-simplify]: Simplify (+ 0 0) into 0 2.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 2.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 2.495 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 2.495 * [backup-simplify]: Simplify (* (/ 1 c) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) 2.495 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c 2.495 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 2.495 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 2.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 2.495 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 2.495 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.495 * [taylor]: Taking taylor expansion of c in c 2.495 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify 1 into 1 2.496 * [backup-simplify]: Simplify (* 1 1) into 1 2.496 * [backup-simplify]: Simplify (/ 1 1) into 1 2.496 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 2.496 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.496 * [taylor]: Taking taylor expansion of d in c 2.496 * [backup-simplify]: Simplify d into d 2.496 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.496 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.496 * [backup-simplify]: Simplify (+ 1 0) into 1 2.497 * [backup-simplify]: Simplify (/ 1 1) into 1 2.497 * [backup-simplify]: Simplify (sqrt 1) into 1 2.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.498 * [backup-simplify]: Simplify (+ 0 0) into 0 2.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.499 * [taylor]: Taking taylor expansion of (/ 1 c) in c 2.499 * [taylor]: Taking taylor expansion of c in c 2.499 * [backup-simplify]: Simplify 0 into 0 2.499 * [backup-simplify]: Simplify 1 into 1 2.499 * [backup-simplify]: Simplify (/ 1 1) into 1 2.500 * [backup-simplify]: Simplify (* 1 1) into 1 2.500 * [taylor]: Taking taylor expansion of 1 in b 2.500 * [backup-simplify]: Simplify 1 into 1 2.500 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 2.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 2.500 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 2.500 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) 2.500 * [taylor]: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c 2.501 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 2.501 * [taylor]: Taking taylor expansion of (* b d) in c 2.501 * [taylor]: Taking taylor expansion of b in c 2.501 * [backup-simplify]: Simplify b into b 2.501 * [taylor]: Taking taylor expansion of d in c 2.501 * [backup-simplify]: Simplify d into d 2.501 * [backup-simplify]: Simplify (* b d) into (* b d) 2.501 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 2.501 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 2.501 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 2.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 2.501 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 2.501 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.501 * [taylor]: Taking taylor expansion of c in c 2.501 * [backup-simplify]: Simplify 0 into 0 2.501 * [backup-simplify]: Simplify 1 into 1 2.501 * [backup-simplify]: Simplify (* 1 1) into 1 2.501 * [backup-simplify]: Simplify (/ 1 1) into 1 2.501 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 2.501 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.501 * [taylor]: Taking taylor expansion of d in c 2.501 * [backup-simplify]: Simplify d into d 2.501 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.501 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.502 * [backup-simplify]: Simplify (+ 1 0) into 1 2.502 * [backup-simplify]: Simplify (/ 1 1) into 1 2.502 * [backup-simplify]: Simplify (sqrt 1) into 1 2.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.503 * [backup-simplify]: Simplify (+ 0 0) into 0 2.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.505 * [taylor]: Taking taylor expansion of 0 in b 2.505 * [backup-simplify]: Simplify 0 into 0 2.505 * [taylor]: Taking taylor expansion of 1 in d 2.505 * [backup-simplify]: Simplify 1 into 1 2.505 * [backup-simplify]: Simplify 1 into 1 2.506 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 2.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 2.506 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 2.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 2.507 * [backup-simplify]: Simplify (+ 0 0) into 0 2.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 2.508 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 2.508 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 2.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 2.510 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 2.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 2.510 * [backup-simplify]: Simplify (+ 0 0) into 0 2.510 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 2.511 * [taylor]: Taking taylor expansion of 0 in c 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [taylor]: Taking taylor expansion of 0 in b 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d)) 2.511 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 2.511 * [taylor]: Taking taylor expansion of (* b d) in b 2.511 * [taylor]: Taking taylor expansion of b in b 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify 1 into 1 2.511 * [taylor]: Taking taylor expansion of d in b 2.511 * [backup-simplify]: Simplify d into d 2.511 * [backup-simplify]: Simplify (* 0 d) into 0 2.511 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 2.511 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 2.511 * [taylor]: Taking taylor expansion of (/ 1 d) in d 2.511 * [taylor]: Taking taylor expansion of d in d 2.512 * [backup-simplify]: Simplify 0 into 0 2.512 * [backup-simplify]: Simplify 1 into 1 2.512 * [backup-simplify]: Simplify (/ 1 1) into 1 2.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.513 * [backup-simplify]: Simplify 0 into 0 2.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.515 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 2.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) 2.517 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2)) 2.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2)))) 2.518 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b 2.518 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b 2.518 * [taylor]: Taking taylor expansion of 1/2 in b 2.518 * [backup-simplify]: Simplify 1/2 into 1/2 2.518 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 2.518 * [taylor]: Taking taylor expansion of (pow d 2) in b 2.518 * [taylor]: Taking taylor expansion of d in b 2.518 * [backup-simplify]: Simplify d into d 2.518 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.518 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.518 * [taylor]: Taking taylor expansion of 0 in d 2.518 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [taylor]: Taking taylor expansion of 0 in d 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 2.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 2.520 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 2.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 2.521 * [backup-simplify]: Simplify (+ 0 0) into 0 2.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 2.522 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 2.522 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 2.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 2.523 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 2.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 2.524 * [backup-simplify]: Simplify (+ 0 0) into 0 2.524 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))))) into 0 2.524 * [taylor]: Taking taylor expansion of 0 in c 2.524 * [backup-simplify]: Simplify 0 into 0 2.524 * [taylor]: Taking taylor expansion of 0 in b 2.524 * [backup-simplify]: Simplify 0 into 0 2.524 * [taylor]: Taking taylor expansion of 0 in b 2.524 * [backup-simplify]: Simplify 0 into 0 2.524 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 2.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 2.525 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0 2.525 * [taylor]: Taking taylor expansion of 0 in b 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.526 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 2.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 2.527 * [backup-simplify]: Simplify (+ 0 0) into 0 2.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 2.528 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0 2.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0 2.529 * [taylor]: Taking taylor expansion of 0 in b 2.529 * [backup-simplify]: Simplify 0 into 0 2.529 * [taylor]: Taking taylor expansion of 0 in d 2.529 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 2.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 2.529 * [taylor]: Taking taylor expansion of 0 in d 2.529 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- a))))))) into (* -1 a) 2.530 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.530 * [backup-simplify]: Simplify (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) into (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) 2.530 * [approximate]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in (a c b d) around 0 2.530 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in d 2.530 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d 2.530 * [taylor]: Taking taylor expansion of (* a c) in d 2.530 * [taylor]: Taking taylor expansion of a in d 2.530 * [backup-simplify]: Simplify a into a 2.530 * [taylor]: Taking taylor expansion of c in d 2.530 * [backup-simplify]: Simplify c into c 2.530 * [taylor]: Taking taylor expansion of (* b d) in d 2.530 * [taylor]: Taking taylor expansion of b in d 2.530 * [backup-simplify]: Simplify b into b 2.530 * [taylor]: Taking taylor expansion of d in d 2.530 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify 1 into 1 2.530 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 2.530 * [taylor]: Taking taylor expansion of (pow c 2) in d 2.530 * [taylor]: Taking taylor expansion of c in d 2.530 * [backup-simplify]: Simplify c into c 2.530 * [taylor]: Taking taylor expansion of (pow d 2) in d 2.530 * [taylor]: Taking taylor expansion of d in d 2.530 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify 1 into 1 2.530 * [backup-simplify]: Simplify (* a c) into (* a c) 2.530 * [backup-simplify]: Simplify (* b 0) into 0 2.530 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c) 2.531 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.531 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 2.531 * [backup-simplify]: Simplify (/ (* a c) (pow c 2)) into (/ a c) 2.531 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in b 2.531 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b 2.531 * [taylor]: Taking taylor expansion of (* a c) in b 2.531 * [taylor]: Taking taylor expansion of a in b 2.531 * [backup-simplify]: Simplify a into a 2.531 * [taylor]: Taking taylor expansion of c in b 2.531 * [backup-simplify]: Simplify c into c 2.531 * [taylor]: Taking taylor expansion of (* b d) in b 2.531 * [taylor]: Taking taylor expansion of b in b 2.531 * [backup-simplify]: Simplify 0 into 0 2.531 * [backup-simplify]: Simplify 1 into 1 2.531 * [taylor]: Taking taylor expansion of d in b 2.531 * [backup-simplify]: Simplify d into d 2.531 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b 2.531 * [taylor]: Taking taylor expansion of (pow c 2) in b 2.531 * [taylor]: Taking taylor expansion of c in b 2.531 * [backup-simplify]: Simplify c into c 2.531 * [taylor]: Taking taylor expansion of (pow d 2) in b 2.531 * [taylor]: Taking taylor expansion of d in b 2.531 * [backup-simplify]: Simplify d into d 2.531 * [backup-simplify]: Simplify (* a c) into (* a c) 2.531 * [backup-simplify]: Simplify (* 0 d) into 0 2.531 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c) 2.532 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.532 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.532 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 2.532 * [backup-simplify]: Simplify (/ (* a c) (+ (pow c 2) (pow d 2))) into (/ (* a c) (+ (pow c 2) (pow d 2))) 2.532 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in c 2.532 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c 2.532 * [taylor]: Taking taylor expansion of (* a c) in c 2.532 * [taylor]: Taking taylor expansion of a in c 2.532 * [backup-simplify]: Simplify a into a 2.532 * [taylor]: Taking taylor expansion of c in c 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify 1 into 1 2.532 * [taylor]: Taking taylor expansion of (* b d) in c 2.532 * [taylor]: Taking taylor expansion of b in c 2.532 * [backup-simplify]: Simplify b into b 2.532 * [taylor]: Taking taylor expansion of d in c 2.532 * [backup-simplify]: Simplify d into d 2.532 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 2.532 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.532 * [taylor]: Taking taylor expansion of c in c 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify 1 into 1 2.532 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.532 * [taylor]: Taking taylor expansion of d in c 2.532 * [backup-simplify]: Simplify d into d 2.532 * [backup-simplify]: Simplify (* a 0) into 0 2.532 * [backup-simplify]: Simplify (* b d) into (* b d) 2.533 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 2.533 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.533 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 2.533 * [backup-simplify]: Simplify (/ (* b d) (pow d 2)) into (/ b d) 2.533 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in a 2.533 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 2.533 * [taylor]: Taking taylor expansion of (* a c) in a 2.533 * [taylor]: Taking taylor expansion of a in a 2.533 * [backup-simplify]: Simplify 0 into 0 2.533 * [backup-simplify]: Simplify 1 into 1 2.533 * [taylor]: Taking taylor expansion of c in a 2.533 * [backup-simplify]: Simplify c into c 2.533 * [taylor]: Taking taylor expansion of (* b d) in a 2.533 * [taylor]: Taking taylor expansion of b in a 2.533 * [backup-simplify]: Simplify b into b 2.533 * [taylor]: Taking taylor expansion of d in a 2.533 * [backup-simplify]: Simplify d into d 2.533 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a 2.533 * [taylor]: Taking taylor expansion of (pow c 2) in a 2.533 * [taylor]: Taking taylor expansion of c in a 2.533 * [backup-simplify]: Simplify c into c 2.533 * [taylor]: Taking taylor expansion of (pow d 2) in a 2.533 * [taylor]: Taking taylor expansion of d in a 2.533 * [backup-simplify]: Simplify d into d 2.533 * [backup-simplify]: Simplify (* 0 c) into 0 2.533 * [backup-simplify]: Simplify (* b d) into (* b d) 2.534 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 2.534 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.534 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.534 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 2.534 * [backup-simplify]: Simplify (/ (* b d) (+ (pow c 2) (pow d 2))) into (/ (* b d) (+ (pow c 2) (pow d 2))) 2.534 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in a 2.534 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 2.534 * [taylor]: Taking taylor expansion of (* a c) in a 2.534 * [taylor]: Taking taylor expansion of a in a 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify 1 into 1 2.534 * [taylor]: Taking taylor expansion of c in a 2.534 * [backup-simplify]: Simplify c into c 2.534 * [taylor]: Taking taylor expansion of (* b d) in a 2.534 * [taylor]: Taking taylor expansion of b in a 2.534 * [backup-simplify]: Simplify b into b 2.534 * [taylor]: Taking taylor expansion of d in a 2.534 * [backup-simplify]: Simplify d into d 2.534 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a 2.534 * [taylor]: Taking taylor expansion of (pow c 2) in a 2.534 * [taylor]: Taking taylor expansion of c in a 2.534 * [backup-simplify]: Simplify c into c 2.534 * [taylor]: Taking taylor expansion of (pow d 2) in a 2.534 * [taylor]: Taking taylor expansion of d in a 2.534 * [backup-simplify]: Simplify d into d 2.535 * [backup-simplify]: Simplify (* 0 c) into 0 2.535 * [backup-simplify]: Simplify (* b d) into (* b d) 2.535 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 2.535 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.535 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.535 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 2.535 * [backup-simplify]: Simplify (/ (* b d) (+ (pow c 2) (pow d 2))) into (/ (* b d) (+ (pow c 2) (pow d 2))) 2.535 * [taylor]: Taking taylor expansion of (/ (* b d) (+ (pow c 2) (pow d 2))) in c 2.535 * [taylor]: Taking taylor expansion of (* b d) in c 2.536 * [taylor]: Taking taylor expansion of b in c 2.536 * [backup-simplify]: Simplify b into b 2.536 * [taylor]: Taking taylor expansion of d in c 2.536 * [backup-simplify]: Simplify d into d 2.536 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 2.536 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.536 * [taylor]: Taking taylor expansion of c in c 2.536 * [backup-simplify]: Simplify 0 into 0 2.536 * [backup-simplify]: Simplify 1 into 1 2.536 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.536 * [taylor]: Taking taylor expansion of d in c 2.536 * [backup-simplify]: Simplify d into d 2.536 * [backup-simplify]: Simplify (* b d) into (* b d) 2.536 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.536 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 2.536 * [backup-simplify]: Simplify (/ (* b d) (pow d 2)) into (/ b d) 2.536 * [taylor]: Taking taylor expansion of (/ b d) in b 2.536 * [taylor]: Taking taylor expansion of b in b 2.536 * [backup-simplify]: Simplify 0 into 0 2.536 * [backup-simplify]: Simplify 1 into 1 2.536 * [taylor]: Taking taylor expansion of d in b 2.536 * [backup-simplify]: Simplify d into d 2.536 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 2.537 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 2.537 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 2.537 * [backup-simplify]: Simplify (+ c 0) into c 2.537 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 2.537 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 2.538 * [backup-simplify]: Simplify (+ 0 0) into 0 2.538 * [backup-simplify]: Simplify (- (/ c (+ (pow c 2) (pow d 2))) (+ (* (/ (* b d) (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into (/ c (+ (pow c 2) (pow d 2))) 2.538 * [taylor]: Taking taylor expansion of (/ c (+ (pow c 2) (pow d 2))) in c 2.538 * [taylor]: Taking taylor expansion of c in c 2.538 * [backup-simplify]: Simplify 0 into 0 2.538 * [backup-simplify]: Simplify 1 into 1 2.538 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 2.538 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.538 * [taylor]: Taking taylor expansion of c in c 2.538 * [backup-simplify]: Simplify 0 into 0 2.538 * [backup-simplify]: Simplify 1 into 1 2.538 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.538 * [taylor]: Taking taylor expansion of d in c 2.538 * [backup-simplify]: Simplify d into d 2.539 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.539 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 2.539 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.539 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 2.539 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 2.539 * [backup-simplify]: Simplify (+ 0 0) into 0 2.539 * [backup-simplify]: Simplify (- (/ 0 (pow d 2)) (+ (* (/ b d) (/ 0 (pow d 2))))) into 0 2.539 * [taylor]: Taking taylor expansion of 0 in b 2.540 * [backup-simplify]: Simplify 0 into 0 2.540 * [taylor]: Taking taylor expansion of 0 in d 2.540 * [backup-simplify]: Simplify 0 into 0 2.540 * [backup-simplify]: Simplify 0 into 0 2.540 * [taylor]: Taking taylor expansion of (/ 1 d) in d 2.540 * [taylor]: Taking taylor expansion of d in d 2.540 * [backup-simplify]: Simplify 0 into 0 2.540 * [backup-simplify]: Simplify 1 into 1 2.540 * [backup-simplify]: Simplify (/ 1 1) into 1 2.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.541 * [backup-simplify]: Simplify 0 into 0 2.542 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 2.542 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 2.543 * [backup-simplify]: Simplify (+ 0 0) into 0 2.543 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 2.543 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 2.544 * [backup-simplify]: Simplify (+ 0 0) into 0 2.544 * [backup-simplify]: Simplify (- (/ 0 (+ (pow c 2) (pow d 2))) (+ (* (/ (* b d) (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))) (* (/ c (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 2.544 * [taylor]: Taking taylor expansion of 0 in c 2.544 * [backup-simplify]: Simplify 0 into 0 2.544 * [taylor]: Taking taylor expansion of 0 in b 2.544 * [backup-simplify]: Simplify 0 into 0 2.544 * [taylor]: Taking taylor expansion of 0 in d 2.544 * [backup-simplify]: Simplify 0 into 0 2.545 * [backup-simplify]: Simplify 0 into 0 2.545 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 2.545 * [taylor]: Taking taylor expansion of (pow d 2) in b 2.545 * [taylor]: Taking taylor expansion of d in b 2.545 * [backup-simplify]: Simplify d into d 2.545 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.545 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.545 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 2.545 * [taylor]: Taking taylor expansion of (pow d 2) in d 2.545 * [taylor]: Taking taylor expansion of d in d 2.545 * [backup-simplify]: Simplify 0 into 0 2.545 * [backup-simplify]: Simplify 1 into 1 2.545 * [backup-simplify]: Simplify (* 1 1) into 1 2.546 * [backup-simplify]: Simplify (/ 1 1) into 1 2.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.548 * [backup-simplify]: Simplify 0 into 0 2.549 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 2.549 * [backup-simplify]: Simplify (* 1 1) into 1 2.550 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 2.550 * [backup-simplify]: Simplify (+ 1 0) into 1 2.550 * [backup-simplify]: Simplify (- (/ 0 (pow d 2)) (+ (* (/ b d) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ b (pow d 3))) 2.550 * [taylor]: Taking taylor expansion of (- (/ b (pow d 3))) in b 2.550 * [taylor]: Taking taylor expansion of (/ b (pow d 3)) in b 2.550 * [taylor]: Taking taylor expansion of b in b 2.550 * [backup-simplify]: Simplify 0 into 0 2.550 * [backup-simplify]: Simplify 1 into 1 2.550 * [taylor]: Taking taylor expansion of (pow d 3) in b 2.550 * [taylor]: Taking taylor expansion of d in b 2.550 * [backup-simplify]: Simplify d into d 2.550 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.551 * [backup-simplify]: Simplify (* d (pow d 2)) into (pow d 3) 2.551 * [backup-simplify]: Simplify (/ 1 (pow d 3)) into (/ 1 (pow d 3)) 2.551 * [taylor]: Taking taylor expansion of 0 in d 2.551 * [backup-simplify]: Simplify 0 into 0 2.551 * [backup-simplify]: Simplify 0 into 0 2.551 * [backup-simplify]: Simplify (- (/ 0 d) (+ (* (/ 1 d) (/ 0 d)))) into 0 2.551 * [taylor]: Taking taylor expansion of 0 in d 2.551 * [backup-simplify]: Simplify 0 into 0 2.551 * [backup-simplify]: Simplify 0 into 0 2.551 * [backup-simplify]: Simplify 0 into 0 2.552 * [backup-simplify]: Simplify (/ (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) into (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 2.552 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (a c b d) around 0 2.552 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 2.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 2.552 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 2.552 * [taylor]: Taking taylor expansion of (* b d) in d 2.552 * [taylor]: Taking taylor expansion of b in d 2.552 * [backup-simplify]: Simplify b into b 2.552 * [taylor]: Taking taylor expansion of d in d 2.552 * [backup-simplify]: Simplify 0 into 0 2.552 * [backup-simplify]: Simplify 1 into 1 2.552 * [backup-simplify]: Simplify (* b 0) into 0 2.552 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 2.552 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.552 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 2.552 * [taylor]: Taking taylor expansion of (* a c) in d 2.552 * [taylor]: Taking taylor expansion of a in d 2.552 * [backup-simplify]: Simplify a into a 2.552 * [taylor]: Taking taylor expansion of c in d 2.552 * [backup-simplify]: Simplify c into c 2.553 * [backup-simplify]: Simplify (* a c) into (* a c) 2.553 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 2.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 2.553 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 2.553 * [taylor]: Taking taylor expansion of (pow c 2) in d 2.553 * [taylor]: Taking taylor expansion of c in d 2.553 * [backup-simplify]: Simplify c into c 2.553 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.553 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 2.553 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 2.553 * [taylor]: Taking taylor expansion of (pow d 2) in d 2.553 * [taylor]: Taking taylor expansion of d in d 2.553 * [backup-simplify]: Simplify 0 into 0 2.553 * [backup-simplify]: Simplify 1 into 1 2.553 * [backup-simplify]: Simplify (* 1 1) into 1 2.554 * [backup-simplify]: Simplify (/ 1 1) into 1 2.554 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 2.554 * [backup-simplify]: Simplify (+ 0 1) into 1 2.554 * [backup-simplify]: Simplify (/ (/ 1 b) 1) into (/ 1 b) 2.554 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 2.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 2.554 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 2.554 * [taylor]: Taking taylor expansion of (* b d) in b 2.554 * [taylor]: Taking taylor expansion of b in b 2.554 * [backup-simplify]: Simplify 0 into 0 2.554 * [backup-simplify]: Simplify 1 into 1 2.554 * [taylor]: Taking taylor expansion of d in b 2.555 * [backup-simplify]: Simplify d into d 2.555 * [backup-simplify]: Simplify (* 0 d) into 0 2.555 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 2.555 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 2.555 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 2.555 * [taylor]: Taking taylor expansion of (* a c) in b 2.555 * [taylor]: Taking taylor expansion of a in b 2.555 * [backup-simplify]: Simplify a into a 2.555 * [taylor]: Taking taylor expansion of c in b 2.555 * [backup-simplify]: Simplify c into c 2.555 * [backup-simplify]: Simplify (* a c) into (* a c) 2.555 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 2.555 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 2.555 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 2.555 * [taylor]: Taking taylor expansion of (pow c 2) in b 2.555 * [taylor]: Taking taylor expansion of c in b 2.555 * [backup-simplify]: Simplify c into c 2.555 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.555 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 2.556 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 2.556 * [taylor]: Taking taylor expansion of (pow d 2) in b 2.556 * [taylor]: Taking taylor expansion of d in b 2.556 * [backup-simplify]: Simplify d into d 2.556 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.556 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.556 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 2.556 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 2.556 * [backup-simplify]: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) 2.556 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 2.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 2.556 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 2.556 * [taylor]: Taking taylor expansion of (* b d) in c 2.556 * [taylor]: Taking taylor expansion of b in c 2.556 * [backup-simplify]: Simplify b into b 2.556 * [taylor]: Taking taylor expansion of d in c 2.556 * [backup-simplify]: Simplify d into d 2.556 * [backup-simplify]: Simplify (* b d) into (* b d) 2.556 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 2.556 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 2.556 * [taylor]: Taking taylor expansion of (* a c) in c 2.556 * [taylor]: Taking taylor expansion of a in c 2.557 * [backup-simplify]: Simplify a into a 2.557 * [taylor]: Taking taylor expansion of c in c 2.557 * [backup-simplify]: Simplify 0 into 0 2.557 * [backup-simplify]: Simplify 1 into 1 2.557 * [backup-simplify]: Simplify (* a 0) into 0 2.557 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 2.557 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 2.557 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 2.557 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.557 * [taylor]: Taking taylor expansion of c in c 2.557 * [backup-simplify]: Simplify 0 into 0 2.557 * [backup-simplify]: Simplify 1 into 1 2.557 * [backup-simplify]: Simplify (* 1 1) into 1 2.558 * [backup-simplify]: Simplify (/ 1 1) into 1 2.558 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 2.558 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.558 * [taylor]: Taking taylor expansion of d in c 2.558 * [backup-simplify]: Simplify d into d 2.558 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.558 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.558 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 2.559 * [backup-simplify]: Simplify (+ 1 0) into 1 2.559 * [backup-simplify]: Simplify (/ (/ 1 a) 1) into (/ 1 a) 2.559 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 2.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 2.559 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 2.559 * [taylor]: Taking taylor expansion of (* b d) in a 2.559 * [taylor]: Taking taylor expansion of b in a 2.559 * [backup-simplify]: Simplify b into b 2.559 * [taylor]: Taking taylor expansion of d in a 2.559 * [backup-simplify]: Simplify d into d 2.559 * [backup-simplify]: Simplify (* b d) into (* b d) 2.559 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 2.559 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 2.559 * [taylor]: Taking taylor expansion of (* a c) in a 2.559 * [taylor]: Taking taylor expansion of a in a 2.559 * [backup-simplify]: Simplify 0 into 0 2.559 * [backup-simplify]: Simplify 1 into 1 2.559 * [taylor]: Taking taylor expansion of c in a 2.559 * [backup-simplify]: Simplify c into c 2.559 * [backup-simplify]: Simplify (* 0 c) into 0 2.560 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 2.560 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 2.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 2.560 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 2.560 * [taylor]: Taking taylor expansion of (pow c 2) in a 2.560 * [taylor]: Taking taylor expansion of c in a 2.560 * [backup-simplify]: Simplify c into c 2.560 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.560 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 2.560 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 2.560 * [taylor]: Taking taylor expansion of (pow d 2) in a 2.560 * [taylor]: Taking taylor expansion of d in a 2.560 * [backup-simplify]: Simplify d into d 2.560 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.560 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.560 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 2.560 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 2.560 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) 2.561 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 2.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 2.561 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 2.561 * [taylor]: Taking taylor expansion of (* b d) in a 2.561 * [taylor]: Taking taylor expansion of b in a 2.561 * [backup-simplify]: Simplify b into b 2.561 * [taylor]: Taking taylor expansion of d in a 2.561 * [backup-simplify]: Simplify d into d 2.561 * [backup-simplify]: Simplify (* b d) into (* b d) 2.561 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 2.561 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 2.561 * [taylor]: Taking taylor expansion of (* a c) in a 2.561 * [taylor]: Taking taylor expansion of a in a 2.561 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify 1 into 1 2.561 * [taylor]: Taking taylor expansion of c in a 2.561 * [backup-simplify]: Simplify c into c 2.561 * [backup-simplify]: Simplify (* 0 c) into 0 2.561 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 2.561 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 2.562 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 2.562 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 2.562 * [taylor]: Taking taylor expansion of (pow c 2) in a 2.562 * [taylor]: Taking taylor expansion of c in a 2.562 * [backup-simplify]: Simplify c into c 2.562 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.562 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 2.562 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 2.562 * [taylor]: Taking taylor expansion of (pow d 2) in a 2.562 * [taylor]: Taking taylor expansion of d in a 2.562 * [backup-simplify]: Simplify d into d 2.562 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.562 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.562 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 2.562 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 2.562 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) 2.562 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c 2.563 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c 2.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 2.563 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 2.563 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.563 * [taylor]: Taking taylor expansion of c in c 2.563 * [backup-simplify]: Simplify 0 into 0 2.563 * [backup-simplify]: Simplify 1 into 1 2.563 * [backup-simplify]: Simplify (* 1 1) into 1 2.563 * [backup-simplify]: Simplify (/ 1 1) into 1 2.563 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 2.563 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.563 * [taylor]: Taking taylor expansion of d in c 2.563 * [backup-simplify]: Simplify d into d 2.564 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.564 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.564 * [taylor]: Taking taylor expansion of c in c 2.564 * [backup-simplify]: Simplify 0 into 0 2.564 * [backup-simplify]: Simplify 1 into 1 2.564 * [backup-simplify]: Simplify (+ 1 0) into 1 2.564 * [backup-simplify]: Simplify (* 1 0) into 0 2.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.566 * [backup-simplify]: Simplify (+ 0 0) into 0 2.566 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 2.566 * [backup-simplify]: Simplify (/ 1 1) into 1 2.566 * [taylor]: Taking taylor expansion of 1 in b 2.566 * [backup-simplify]: Simplify 1 into 1 2.567 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 2.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 2.567 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 2.567 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 2.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 2.567 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 2.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 2.568 * [backup-simplify]: Simplify (+ 0 0) into 0 2.568 * [backup-simplify]: Simplify (- (/ (/ 1 (* b d)) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) 2.568 * [taylor]: Taking taylor expansion of (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c 2.568 * [taylor]: Taking taylor expansion of (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c 2.568 * [taylor]: Taking taylor expansion of b in c 2.568 * [backup-simplify]: Simplify b into b 2.568 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c 2.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 2.568 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 2.568 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.568 * [taylor]: Taking taylor expansion of c in c 2.568 * [backup-simplify]: Simplify 0 into 0 2.568 * [backup-simplify]: Simplify 1 into 1 2.568 * [backup-simplify]: Simplify (* 1 1) into 1 2.569 * [backup-simplify]: Simplify (/ 1 1) into 1 2.569 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 2.569 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.569 * [taylor]: Taking taylor expansion of d in c 2.569 * [backup-simplify]: Simplify d into d 2.569 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.569 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.569 * [taylor]: Taking taylor expansion of d in c 2.569 * [backup-simplify]: Simplify d into d 2.569 * [backup-simplify]: Simplify (+ 1 0) into 1 2.569 * [backup-simplify]: Simplify (* 1 d) into d 2.569 * [backup-simplify]: Simplify (* b d) into (* b d) 2.569 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 2.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.570 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 2.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) into 0 2.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.572 * [taylor]: Taking taylor expansion of 0 in b 2.572 * [backup-simplify]: Simplify 0 into 0 2.572 * [taylor]: Taking taylor expansion of 1 in d 2.572 * [backup-simplify]: Simplify 1 into 1 2.572 * [backup-simplify]: Simplify 0 into 0 2.572 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 2.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 2.573 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 2.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 2.573 * [backup-simplify]: Simplify (+ 0 0) into 0 2.573 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 2.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 2.574 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 2.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 2.574 * [backup-simplify]: Simplify (+ 0 0) into 0 2.575 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 2.575 * [taylor]: Taking taylor expansion of 0 in c 2.575 * [backup-simplify]: Simplify 0 into 0 2.575 * [taylor]: Taking taylor expansion of 0 in b 2.575 * [backup-simplify]: Simplify 0 into 0 2.575 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 2.575 * [taylor]: Taking taylor expansion of (* b d) in b 2.575 * [taylor]: Taking taylor expansion of b in b 2.575 * [backup-simplify]: Simplify 0 into 0 2.575 * [backup-simplify]: Simplify 1 into 1 2.575 * [taylor]: Taking taylor expansion of d in b 2.575 * [backup-simplify]: Simplify d into d 2.575 * [backup-simplify]: Simplify (* 0 d) into 0 2.575 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 2.575 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 2.575 * [taylor]: Taking taylor expansion of (/ 1 d) in d 2.575 * [taylor]: Taking taylor expansion of d in d 2.575 * [backup-simplify]: Simplify 0 into 0 2.575 * [backup-simplify]: Simplify 1 into 1 2.575 * [backup-simplify]: Simplify (/ 1 1) into 1 2.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.576 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.578 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 2.578 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 2.578 * [backup-simplify]: Simplify (+ 0 0) into 0 2.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2)) 2.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) 2.582 * [taylor]: Taking taylor expansion of (- (/ 1 (pow d 2))) in b 2.582 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 2.582 * [taylor]: Taking taylor expansion of (pow d 2) in b 2.582 * [taylor]: Taking taylor expansion of d in b 2.582 * [backup-simplify]: Simplify d into d 2.582 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.582 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.582 * [taylor]: Taking taylor expansion of 0 in d 2.582 * [backup-simplify]: Simplify 0 into 0 2.582 * [backup-simplify]: Simplify 0 into 0 2.582 * [taylor]: Taking taylor expansion of 0 in d 2.582 * [backup-simplify]: Simplify 0 into 0 2.582 * [backup-simplify]: Simplify 0 into 0 2.582 * [backup-simplify]: Simplify 0 into 0 2.583 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 2.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 2.584 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 2.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 2.585 * [backup-simplify]: Simplify (+ 0 0) into 0 2.586 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 2.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 2.586 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 2.587 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 2.587 * [backup-simplify]: Simplify (+ 0 0) into 0 2.588 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 2.588 * [taylor]: Taking taylor expansion of 0 in c 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [taylor]: Taking taylor expansion of 0 in b 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [taylor]: Taking taylor expansion of 0 in b 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.589 * [backup-simplify]: Simplify (+ 0 0) into 0 2.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 d)) into 0 2.589 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 2.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 2.589 * [taylor]: Taking taylor expansion of 0 in b 2.589 * [backup-simplify]: Simplify 0 into 0 2.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.591 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 2.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 2.591 * [backup-simplify]: Simplify (+ 0 0) into 0 2.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 2.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 2.593 * [taylor]: Taking taylor expansion of 0 in b 2.593 * [backup-simplify]: Simplify 0 into 0 2.593 * [taylor]: Taking taylor expansion of 0 in d 2.593 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify (/ (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) into (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 2.593 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (a c b d) around 0 2.593 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 2.593 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 2.593 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 2.593 * [taylor]: Taking taylor expansion of (* b d) in d 2.593 * [taylor]: Taking taylor expansion of b in d 2.593 * [backup-simplify]: Simplify b into b 2.593 * [taylor]: Taking taylor expansion of d in d 2.593 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify 1 into 1 2.594 * [backup-simplify]: Simplify (* b 0) into 0 2.594 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 2.594 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.594 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 2.594 * [taylor]: Taking taylor expansion of (* a c) in d 2.594 * [taylor]: Taking taylor expansion of a in d 2.594 * [backup-simplify]: Simplify a into a 2.594 * [taylor]: Taking taylor expansion of c in d 2.594 * [backup-simplify]: Simplify c into c 2.594 * [backup-simplify]: Simplify (* a c) into (* a c) 2.594 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 2.594 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 2.594 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 2.594 * [taylor]: Taking taylor expansion of (pow c 2) in d 2.594 * [taylor]: Taking taylor expansion of c in d 2.594 * [backup-simplify]: Simplify c into c 2.594 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.594 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 2.594 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 2.594 * [taylor]: Taking taylor expansion of (pow d 2) in d 2.594 * [taylor]: Taking taylor expansion of d in d 2.594 * [backup-simplify]: Simplify 0 into 0 2.594 * [backup-simplify]: Simplify 1 into 1 2.594 * [backup-simplify]: Simplify (* 1 1) into 1 2.595 * [backup-simplify]: Simplify (/ 1 1) into 1 2.595 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 2.595 * [backup-simplify]: Simplify (+ 0 1) into 1 2.595 * [backup-simplify]: Simplify (/ (/ 1 b) 1) into (/ 1 b) 2.595 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 2.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 2.595 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 2.595 * [taylor]: Taking taylor expansion of (* b d) in b 2.595 * [taylor]: Taking taylor expansion of b in b 2.595 * [backup-simplify]: Simplify 0 into 0 2.595 * [backup-simplify]: Simplify 1 into 1 2.595 * [taylor]: Taking taylor expansion of d in b 2.595 * [backup-simplify]: Simplify d into d 2.595 * [backup-simplify]: Simplify (* 0 d) into 0 2.596 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 2.596 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 2.596 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 2.596 * [taylor]: Taking taylor expansion of (* a c) in b 2.596 * [taylor]: Taking taylor expansion of a in b 2.596 * [backup-simplify]: Simplify a into a 2.596 * [taylor]: Taking taylor expansion of c in b 2.596 * [backup-simplify]: Simplify c into c 2.596 * [backup-simplify]: Simplify (* a c) into (* a c) 2.596 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 2.596 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 2.596 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 2.596 * [taylor]: Taking taylor expansion of (pow c 2) in b 2.596 * [taylor]: Taking taylor expansion of c in b 2.596 * [backup-simplify]: Simplify c into c 2.596 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.596 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 2.596 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 2.596 * [taylor]: Taking taylor expansion of (pow d 2) in b 2.596 * [taylor]: Taking taylor expansion of d in b 2.596 * [backup-simplify]: Simplify d into d 2.596 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.596 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.596 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 2.596 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 2.596 * [backup-simplify]: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) 2.596 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 2.596 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 2.596 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 2.596 * [taylor]: Taking taylor expansion of (* b d) in c 2.596 * [taylor]: Taking taylor expansion of b in c 2.596 * [backup-simplify]: Simplify b into b 2.597 * [taylor]: Taking taylor expansion of d in c 2.597 * [backup-simplify]: Simplify d into d 2.597 * [backup-simplify]: Simplify (* b d) into (* b d) 2.597 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 2.597 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 2.597 * [taylor]: Taking taylor expansion of (* a c) in c 2.597 * [taylor]: Taking taylor expansion of a in c 2.597 * [backup-simplify]: Simplify a into a 2.597 * [taylor]: Taking taylor expansion of c in c 2.597 * [backup-simplify]: Simplify 0 into 0 2.597 * [backup-simplify]: Simplify 1 into 1 2.597 * [backup-simplify]: Simplify (* a 0) into 0 2.597 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 2.597 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.597 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 2.597 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 2.597 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.597 * [taylor]: Taking taylor expansion of c in c 2.597 * [backup-simplify]: Simplify 0 into 0 2.597 * [backup-simplify]: Simplify 1 into 1 2.597 * [backup-simplify]: Simplify (* 1 1) into 1 2.598 * [backup-simplify]: Simplify (/ 1 1) into 1 2.598 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 2.598 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.598 * [taylor]: Taking taylor expansion of d in c 2.598 * [backup-simplify]: Simplify d into d 2.598 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.598 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.598 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 2.598 * [backup-simplify]: Simplify (+ 1 0) into 1 2.598 * [backup-simplify]: Simplify (/ (/ 1 a) 1) into (/ 1 a) 2.598 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 2.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 2.598 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 2.598 * [taylor]: Taking taylor expansion of (* b d) in a 2.598 * [taylor]: Taking taylor expansion of b in a 2.598 * [backup-simplify]: Simplify b into b 2.598 * [taylor]: Taking taylor expansion of d in a 2.598 * [backup-simplify]: Simplify d into d 2.598 * [backup-simplify]: Simplify (* b d) into (* b d) 2.598 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 2.598 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 2.598 * [taylor]: Taking taylor expansion of (* a c) in a 2.598 * [taylor]: Taking taylor expansion of a in a 2.598 * [backup-simplify]: Simplify 0 into 0 2.598 * [backup-simplify]: Simplify 1 into 1 2.598 * [taylor]: Taking taylor expansion of c in a 2.598 * [backup-simplify]: Simplify c into c 2.599 * [backup-simplify]: Simplify (* 0 c) into 0 2.599 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 2.599 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 2.599 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 2.599 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 2.599 * [taylor]: Taking taylor expansion of (pow c 2) in a 2.599 * [taylor]: Taking taylor expansion of c in a 2.599 * [backup-simplify]: Simplify c into c 2.599 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.599 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 2.599 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 2.599 * [taylor]: Taking taylor expansion of (pow d 2) in a 2.599 * [taylor]: Taking taylor expansion of d in a 2.599 * [backup-simplify]: Simplify d into d 2.599 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.599 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.599 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 2.599 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 2.599 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) 2.599 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 2.599 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 2.600 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 2.600 * [taylor]: Taking taylor expansion of (* b d) in a 2.600 * [taylor]: Taking taylor expansion of b in a 2.600 * [backup-simplify]: Simplify b into b 2.600 * [taylor]: Taking taylor expansion of d in a 2.600 * [backup-simplify]: Simplify d into d 2.600 * [backup-simplify]: Simplify (* b d) into (* b d) 2.600 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 2.600 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 2.600 * [taylor]: Taking taylor expansion of (* a c) in a 2.600 * [taylor]: Taking taylor expansion of a in a 2.600 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify 1 into 1 2.600 * [taylor]: Taking taylor expansion of c in a 2.600 * [backup-simplify]: Simplify c into c 2.600 * [backup-simplify]: Simplify (* 0 c) into 0 2.600 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 2.600 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 2.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 2.600 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 2.600 * [taylor]: Taking taylor expansion of (pow c 2) in a 2.600 * [taylor]: Taking taylor expansion of c in a 2.600 * [backup-simplify]: Simplify c into c 2.600 * [backup-simplify]: Simplify (* c c) into (pow c 2) 2.600 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 2.600 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 2.600 * [taylor]: Taking taylor expansion of (pow d 2) in a 2.600 * [taylor]: Taking taylor expansion of d in a 2.600 * [backup-simplify]: Simplify d into d 2.600 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.600 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.600 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 2.601 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 2.601 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) 2.601 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c 2.601 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c 2.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 2.601 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 2.601 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.601 * [taylor]: Taking taylor expansion of c in c 2.601 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify 1 into 1 2.601 * [backup-simplify]: Simplify (* 1 1) into 1 2.601 * [backup-simplify]: Simplify (/ 1 1) into 1 2.601 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 2.601 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.601 * [taylor]: Taking taylor expansion of d in c 2.601 * [backup-simplify]: Simplify d into d 2.602 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.602 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.602 * [taylor]: Taking taylor expansion of c in c 2.602 * [backup-simplify]: Simplify 0 into 0 2.602 * [backup-simplify]: Simplify 1 into 1 2.602 * [backup-simplify]: Simplify (+ 1 0) into 1 2.602 * [backup-simplify]: Simplify (* 1 0) into 0 2.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.603 * [backup-simplify]: Simplify (+ 0 0) into 0 2.604 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 2.604 * [backup-simplify]: Simplify (/ 1 1) into 1 2.604 * [taylor]: Taking taylor expansion of 1 in b 2.604 * [backup-simplify]: Simplify 1 into 1 2.604 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 2.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 2.605 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 2.605 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 2.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 2.605 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 2.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 2.605 * [backup-simplify]: Simplify (+ 0 0) into 0 2.605 * [backup-simplify]: Simplify (- (/ (/ 1 (* b d)) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) 2.605 * [taylor]: Taking taylor expansion of (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c 2.606 * [taylor]: Taking taylor expansion of (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c 2.606 * [taylor]: Taking taylor expansion of b in c 2.606 * [backup-simplify]: Simplify b into b 2.606 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c 2.606 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 2.606 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 2.606 * [taylor]: Taking taylor expansion of (pow c 2) in c 2.606 * [taylor]: Taking taylor expansion of c in c 2.606 * [backup-simplify]: Simplify 0 into 0 2.606 * [backup-simplify]: Simplify 1 into 1 2.606 * [backup-simplify]: Simplify (* 1 1) into 1 2.606 * [backup-simplify]: Simplify (/ 1 1) into 1 2.606 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 2.606 * [taylor]: Taking taylor expansion of (pow d 2) in c 2.606 * [taylor]: Taking taylor expansion of d in c 2.606 * [backup-simplify]: Simplify d into d 2.606 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.606 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.606 * [taylor]: Taking taylor expansion of d in c 2.606 * [backup-simplify]: Simplify d into d 2.607 * [backup-simplify]: Simplify (+ 1 0) into 1 2.607 * [backup-simplify]: Simplify (* 1 d) into d 2.607 * [backup-simplify]: Simplify (* b d) into (* b d) 2.607 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 2.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.608 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 2.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) into 0 2.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.609 * [taylor]: Taking taylor expansion of 0 in b 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [taylor]: Taking taylor expansion of 1 in d 2.609 * [backup-simplify]: Simplify 1 into 1 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 2.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 2.610 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 2.610 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 2.610 * [backup-simplify]: Simplify (+ 0 0) into 0 2.611 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 2.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 2.611 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 2.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 2.612 * [backup-simplify]: Simplify (+ 0 0) into 0 2.613 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 2.613 * [taylor]: Taking taylor expansion of 0 in c 2.613 * [backup-simplify]: Simplify 0 into 0 2.613 * [taylor]: Taking taylor expansion of 0 in b 2.613 * [backup-simplify]: Simplify 0 into 0 2.613 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 2.613 * [taylor]: Taking taylor expansion of (* b d) in b 2.613 * [taylor]: Taking taylor expansion of b in b 2.613 * [backup-simplify]: Simplify 0 into 0 2.613 * [backup-simplify]: Simplify 1 into 1 2.613 * [taylor]: Taking taylor expansion of d in b 2.613 * [backup-simplify]: Simplify d into d 2.613 * [backup-simplify]: Simplify (* 0 d) into 0 2.613 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 2.613 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 2.613 * [taylor]: Taking taylor expansion of (/ 1 d) in d 2.613 * [taylor]: Taking taylor expansion of d in d 2.613 * [backup-simplify]: Simplify 0 into 0 2.613 * [backup-simplify]: Simplify 1 into 1 2.614 * [backup-simplify]: Simplify (/ 1 1) into 1 2.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.615 * [backup-simplify]: Simplify 0 into 0 2.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.617 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 2.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 2.618 * [backup-simplify]: Simplify (+ 0 0) into 0 2.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2)) 2.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) 2.619 * [taylor]: Taking taylor expansion of (- (/ 1 (pow d 2))) in b 2.620 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 2.620 * [taylor]: Taking taylor expansion of (pow d 2) in b 2.620 * [taylor]: Taking taylor expansion of d in b 2.620 * [backup-simplify]: Simplify d into d 2.620 * [backup-simplify]: Simplify (* d d) into (pow d 2) 2.620 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 2.620 * [taylor]: Taking taylor expansion of 0 in d 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [taylor]: Taking taylor expansion of 0 in d 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 2.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 2.622 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 2.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 2.622 * [backup-simplify]: Simplify (+ 0 0) into 0 2.622 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 2.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 2.623 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 2.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 2.624 * [backup-simplify]: Simplify (+ 0 0) into 0 2.624 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 2.624 * [taylor]: Taking taylor expansion of 0 in c 2.624 * [backup-simplify]: Simplify 0 into 0 2.624 * [taylor]: Taking taylor expansion of 0 in b 2.624 * [backup-simplify]: Simplify 0 into 0 2.624 * [taylor]: Taking taylor expansion of 0 in b 2.624 * [backup-simplify]: Simplify 0 into 0 2.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.625 * [backup-simplify]: Simplify (+ 0 0) into 0 2.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 d)) into 0 2.626 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 2.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 2.626 * [taylor]: Taking taylor expansion of 0 in b 2.626 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.627 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 2.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 2.628 * [backup-simplify]: Simplify (+ 0 0) into 0 2.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 2.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 2.629 * [taylor]: Taking taylor expansion of 0 in b 2.629 * [backup-simplify]: Simplify 0 into 0 2.629 * [taylor]: Taking taylor expansion of 0 in d 2.630 * [backup-simplify]: Simplify 0 into 0 2.630 * [backup-simplify]: Simplify 0 into 0 2.630 * [backup-simplify]: Simplify 0 into 0 2.630 * * * [progress]: simplifying candidates 2.630 * * * * [progress]: [ 1 / 280 ] simplifiying candidate # 2.630 * * * * [progress]: [ 2 / 280 ] simplifiying candidate # 2.630 * * * * [progress]: [ 3 / 280 ] simplifiying candidate # 2.630 * * * * [progress]: [ 4 / 280 ] simplifiying candidate # 2.630 * * * * [progress]: [ 5 / 280 ] simplifiying candidate # 2.630 * * * * [progress]: [ 6 / 280 ] simplifiying candidate # 2.630 * * * * [progress]: [ 7 / 280 ] simplifiying candidate # 2.630 * * * * [progress]: [ 8 / 280 ] simplifiying candidate # 2.630 * * * * [progress]: [ 9 / 280 ] simplifiying candidate # 2.630 * * * * [progress]: [ 10 / 280 ] simplifiying candidate # 2.630 * * * * [progress]: [ 11 / 280 ] simplifiying candidate # 2.630 * * * * [progress]: [ 12 / 280 ] simplifiying candidate # 2.630 * * * * [progress]: [ 13 / 280 ] simplifiying candidate # 2.630 * * * * [progress]: [ 14 / 280 ] simplifiying candidate # 2.630 * * * * [progress]: [ 15 / 280 ] simplifiying candidate # 2.630 * * * * [progress]: [ 16 / 280 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* c c) (* d d)))))))> 2.630 * * * * [progress]: [ 17 / 280 ] simplifiying candidate # 2.630 * * * * [progress]: [ 18 / 280 ] simplifiying candidate # 2.630 * * * * [progress]: [ 19 / 280 ] simplifiying candidate # 2.630 * * * * [progress]: [ 20 / 280 ] simplifiying candidate # 2.631 * * * * [progress]: [ 21 / 280 ] simplifiying candidate # 2.631 * * * * [progress]: [ 22 / 280 ] simplifiying candidate # 2.631 * * * * [progress]: [ 23 / 280 ] simplifiying candidate # 2.631 * * * * [progress]: [ 24 / 280 ] simplifiying candidate # 2.631 * * * * [progress]: [ 25 / 280 ] simplifiying candidate # 2.631 * * * * [progress]: [ 26 / 280 ] simplifiying candidate # 2.631 * * * * [progress]: [ 27 / 280 ] simplifiying candidate # 2.631 * * * * [progress]: [ 28 / 280 ] simplifiying candidate # 2.631 * * * * [progress]: [ 29 / 280 ] simplifiying candidate # 2.631 * * * * [progress]: [ 30 / 280 ] simplifiying candidate # 2.631 * * * * [progress]: [ 31 / 280 ] simplifiying candidate # 2.631 * * * * [progress]: [ 32 / 280 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))> 2.631 * * * * [progress]: [ 33 / 280 ] simplifiying candidate # 2.631 * * * * [progress]: [ 34 / 280 ] simplifiying candidate # 2.631 * * * * [progress]: [ 35 / 280 ] simplifiying candidate # 2.631 * * * * [progress]: [ 36 / 280 ] simplifiying candidate # 2.631 * * * * [progress]: [ 37 / 280 ] simplifiying candidate # 2.631 * * * * [progress]: [ 38 / 280 ] simplifiying 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(+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt 1) (sqrt (+ (* c c) (* d d))) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))) (/ 1 2) (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))) (real->posit16 (sqrt (+ (* c c) (* d d)))) (log (sqrt (+ (* c c) (* d d)))) (exp (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt 1) (sqrt (+ (* c c) (* d d))) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))) (/ 1 2) (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))) (real->posit16 (sqrt (+ (* c c) (* d d)))) (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* c c) (* d d))))) (log (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (exp (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (* (* (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (- (+ (* a c) (* b d))) (- (sqrt (+ (* c c) (* d d)))) (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (/ (cbrt (+ 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(sqrt (+ (* c c) (* d d)))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (real->posit16 (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) d c (* -1 c) d c (* -1 c) b a (* -1 a) 0 0 0 2.661 * * [simplify]: iteration 0: 305 enodes 2.757 * * [simplify]: iteration 1: 724 enodes 2.969 * * [simplify]: iteration 2: 1755 enodes 3.264 * * [simplify]: iteration 3: 2010 enodes 3.616 * * [simplify]: iteration complete: 2010 enodes 3.617 * * [simplify]: Extracting #0: cost 189 inf + 0 3.618 * * [simplify]: Extracting #1: cost 597 inf + 89 3.621 * * [simplify]: Extracting #2: cost 684 inf + 8111 3.628 * * [simplify]: Extracting #3: cost 619 inf + 41327 3.656 * * [simplify]: Extracting #4: cost 213 inf + 196846 3.724 * * [simplify]: Extracting #5: cost 25 inf + 281516 3.818 * * [simplify]: Extracting #6: cost 2 inf + 291662 3.901 * * [simplify]: Extracting #7: cost 0 inf + 292308 3.976 * [simplify]: 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(* a c)))) (/ (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d))))) (+ (* b d) (* a c))) (/ (* (sqrt (+ (* c c) (* d d))) (sqrt (cbrt (+ (* c c) (* d d))))) (+ (* b d) (* a c))) (/ (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (+ (* b d) (* a c))) (/ (+ (* c c) (* d d)) (+ (* b d) (* a c))) (/ (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (+ (* b d) (* a c))) (/ (+ (* c c) (* d d)) (+ (* b d) (* a c))) (/ (+ (* c c) (* d d)) (+ (* b d) (* a c))) (+ (* c c) (* d d)) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* (- (* d d) (* c c)) (* d d)) (* (* c c) (* c c))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (* c c) (* d d)))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* c c) (* (* c c) (* c c))) (* (* d d) (* (* d d) (* d d)))))) (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* b d) (* a c)) (sqrt (* (+ (* c c) (* d d)) (- (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) (+ (* c c) (* d d)) (real->posit16 (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))) d c (- c) d c (- c) b a (- a) 0 0 0 4.023 * * * [progress]: adding candidates to table 7.290 * * [progress]: iteration 3 / 4 7.290 * * * [progress]: picking best candidate 7.354 * * * * [pick]: Picked # 7.354 * * * [progress]: localizing error 7.396 * * * [progress]: generating rewritten candidates 7.396 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 7.408 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 7.419 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 7.473 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 7.543 * * * [progress]: generating series expansions 7.543 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 7.543 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2))) 7.543 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0 7.543 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d 7.543 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 7.543 * [taylor]: Taking taylor expansion of (pow c 2) in d 7.543 * [taylor]: Taking taylor expansion of c in d 7.543 * [backup-simplify]: Simplify c into c 7.543 * [taylor]: Taking taylor expansion of (pow d 2) in d 7.543 * [taylor]: Taking taylor expansion of d in d 7.543 * [backup-simplify]: Simplify 0 into 0 7.543 * [backup-simplify]: Simplify 1 into 1 7.543 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.543 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 7.543 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c 7.543 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 7.544 * [backup-simplify]: Simplify (+ 0 0) into 0 7.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 7.544 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 7.544 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 7.544 * [taylor]: Taking taylor expansion of (pow c 2) in c 7.544 * [taylor]: Taking taylor expansion of c in c 7.544 * [backup-simplify]: Simplify 0 into 0 7.544 * [backup-simplify]: Simplify 1 into 1 7.544 * [taylor]: Taking taylor expansion of (pow d 2) in c 7.544 * [taylor]: Taking taylor expansion of d in c 7.544 * [backup-simplify]: Simplify d into d 7.544 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.544 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 7.545 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 7.545 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 7.545 * [backup-simplify]: Simplify (+ 0 0) into 0 7.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 7.545 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 7.545 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 7.545 * [taylor]: Taking taylor expansion of (pow c 2) in c 7.545 * [taylor]: Taking taylor expansion of c in c 7.545 * [backup-simplify]: Simplify 0 into 0 7.545 * [backup-simplify]: Simplify 1 into 1 7.545 * [taylor]: Taking taylor expansion of (pow d 2) in c 7.545 * [taylor]: Taking taylor expansion of d in c 7.545 * [backup-simplify]: Simplify d into d 7.545 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.545 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 7.545 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 7.545 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 7.546 * [backup-simplify]: Simplify (+ 0 0) into 0 7.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 7.546 * [taylor]: Taking taylor expansion of d in d 7.546 * [backup-simplify]: Simplify 0 into 0 7.546 * [backup-simplify]: Simplify 1 into 1 7.546 * [backup-simplify]: Simplify 0 into 0 7.546 * [taylor]: Taking taylor expansion of 0 in d 7.546 * [backup-simplify]: Simplify 0 into 0 7.546 * [backup-simplify]: Simplify 0 into 0 7.546 * [backup-simplify]: Simplify 1 into 1 7.546 * [backup-simplify]: Simplify (* 1 1) into 1 7.547 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 7.547 * [backup-simplify]: Simplify (+ 1 0) into 1 7.547 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) 7.547 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d 7.547 * [taylor]: Taking taylor expansion of 1/2 in d 7.547 * [backup-simplify]: Simplify 1/2 into 1/2 7.547 * [taylor]: Taking taylor expansion of d in d 7.547 * [backup-simplify]: Simplify 0 into 0 7.547 * [backup-simplify]: Simplify 1 into 1 7.548 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.548 * [backup-simplify]: Simplify 0 into 0 7.548 * [backup-simplify]: Simplify 0 into 0 7.548 * [backup-simplify]: Simplify 0 into 0 7.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.549 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 7.549 * [backup-simplify]: Simplify (+ 0 0) into 0 7.550 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 7.550 * [taylor]: Taking taylor expansion of 0 in d 7.550 * [backup-simplify]: Simplify 0 into 0 7.550 * [backup-simplify]: Simplify 0 into 0 7.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.550 * [backup-simplify]: Simplify 0 into 0 7.550 * [backup-simplify]: Simplify 0 into 0 7.550 * [backup-simplify]: Simplify (* 1 (* d 1)) into d 7.550 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 7.551 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 7.551 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 7.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 7.551 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 7.551 * [taylor]: Taking taylor expansion of (pow c 2) in d 7.551 * [taylor]: Taking taylor expansion of c in d 7.551 * [backup-simplify]: Simplify c into c 7.551 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.551 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.551 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 7.551 * [taylor]: Taking taylor expansion of (pow d 2) in d 7.551 * [taylor]: Taking taylor expansion of d in d 7.551 * [backup-simplify]: Simplify 0 into 0 7.551 * [backup-simplify]: Simplify 1 into 1 7.551 * [backup-simplify]: Simplify (* 1 1) into 1 7.551 * [backup-simplify]: Simplify (/ 1 1) into 1 7.552 * [backup-simplify]: Simplify (+ 0 1) into 1 7.552 * [backup-simplify]: Simplify (sqrt 1) into 1 7.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.553 * [backup-simplify]: Simplify (+ 0 0) into 0 7.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.554 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 7.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 7.554 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 7.554 * [taylor]: Taking taylor expansion of (pow c 2) in c 7.554 * [taylor]: Taking taylor expansion of c in c 7.554 * [backup-simplify]: Simplify 0 into 0 7.554 * [backup-simplify]: Simplify 1 into 1 7.554 * [backup-simplify]: Simplify (* 1 1) into 1 7.554 * [backup-simplify]: Simplify (/ 1 1) into 1 7.554 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 7.555 * [taylor]: Taking taylor expansion of (pow d 2) in c 7.555 * [taylor]: Taking taylor expansion of d in c 7.555 * [backup-simplify]: Simplify d into d 7.555 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.555 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 7.555 * [backup-simplify]: Simplify (+ 1 0) into 1 7.555 * [backup-simplify]: Simplify (sqrt 1) into 1 7.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.557 * [backup-simplify]: Simplify (+ 0 0) into 0 7.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.558 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 7.558 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 7.558 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 7.558 * [taylor]: Taking taylor expansion of (pow c 2) in c 7.558 * [taylor]: Taking taylor expansion of c in c 7.558 * [backup-simplify]: Simplify 0 into 0 7.558 * [backup-simplify]: Simplify 1 into 1 7.558 * [backup-simplify]: Simplify (* 1 1) into 1 7.559 * [backup-simplify]: Simplify (/ 1 1) into 1 7.559 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 7.559 * [taylor]: Taking taylor expansion of (pow d 2) in c 7.559 * [taylor]: Taking taylor expansion of d in c 7.559 * [backup-simplify]: Simplify d into d 7.559 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.559 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 7.559 * [backup-simplify]: Simplify (+ 1 0) into 1 7.560 * [backup-simplify]: Simplify (sqrt 1) into 1 7.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.561 * [backup-simplify]: Simplify (+ 0 0) into 0 7.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.562 * [taylor]: Taking taylor expansion of 1 in d 7.562 * [backup-simplify]: Simplify 1 into 1 7.562 * [taylor]: Taking taylor expansion of 0 in d 7.562 * [backup-simplify]: Simplify 0 into 0 7.562 * [backup-simplify]: Simplify 1 into 1 7.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.564 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 7.565 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 7.566 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 7.566 * [taylor]: Taking taylor expansion of 1/2 in d 7.566 * [backup-simplify]: Simplify 1/2 into 1/2 7.566 * [taylor]: Taking taylor expansion of (pow d 2) in d 7.566 * [taylor]: Taking taylor expansion of d in d 7.566 * [backup-simplify]: Simplify 0 into 0 7.566 * [backup-simplify]: Simplify 1 into 1 7.566 * [backup-simplify]: Simplify (* 1 1) into 1 7.566 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.568 * [backup-simplify]: Simplify 0 into 0 7.568 * [backup-simplify]: Simplify 0 into 0 7.568 * [backup-simplify]: Simplify 0 into 0 7.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.570 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 7.570 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 7.570 * [backup-simplify]: Simplify (+ 0 0) into 0 7.571 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 7.571 * [taylor]: Taking taylor expansion of 0 in d 7.571 * [backup-simplify]: Simplify 0 into 0 7.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.573 * [backup-simplify]: Simplify 0 into 0 7.573 * [backup-simplify]: Simplify 0 into 0 7.573 * [backup-simplify]: Simplify 0 into 0 7.573 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c 7.573 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 7.573 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 7.573 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 7.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 7.573 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 7.573 * [taylor]: Taking taylor expansion of (pow c 2) in d 7.573 * [taylor]: Taking taylor expansion of c in d 7.573 * [backup-simplify]: Simplify c into c 7.573 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.573 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.573 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 7.573 * [taylor]: Taking taylor expansion of (pow d 2) in d 7.573 * [taylor]: Taking taylor expansion of d in d 7.573 * [backup-simplify]: Simplify 0 into 0 7.573 * [backup-simplify]: Simplify 1 into 1 7.574 * [backup-simplify]: Simplify (* 1 1) into 1 7.574 * [backup-simplify]: Simplify (/ 1 1) into 1 7.575 * [backup-simplify]: Simplify (+ 0 1) into 1 7.575 * [backup-simplify]: Simplify (sqrt 1) into 1 7.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.576 * [backup-simplify]: Simplify (+ 0 0) into 0 7.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.577 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 7.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 7.577 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 7.577 * [taylor]: Taking taylor expansion of (pow c 2) in c 7.577 * [taylor]: Taking taylor expansion of c in c 7.577 * [backup-simplify]: Simplify 0 into 0 7.577 * [backup-simplify]: Simplify 1 into 1 7.578 * [backup-simplify]: Simplify (* 1 1) into 1 7.578 * [backup-simplify]: Simplify (/ 1 1) into 1 7.578 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 7.578 * [taylor]: Taking taylor expansion of (pow d 2) in c 7.578 * [taylor]: Taking taylor expansion of d in c 7.578 * [backup-simplify]: Simplify d into d 7.578 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.578 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 7.579 * [backup-simplify]: Simplify (+ 1 0) into 1 7.579 * [backup-simplify]: Simplify (sqrt 1) into 1 7.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.581 * [backup-simplify]: Simplify (+ 0 0) into 0 7.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.581 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 7.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 7.581 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 7.581 * [taylor]: Taking taylor expansion of (pow c 2) in c 7.581 * [taylor]: Taking taylor expansion of c in c 7.581 * [backup-simplify]: Simplify 0 into 0 7.581 * [backup-simplify]: Simplify 1 into 1 7.582 * [backup-simplify]: Simplify (* 1 1) into 1 7.582 * [backup-simplify]: Simplify (/ 1 1) into 1 7.582 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 7.582 * [taylor]: Taking taylor expansion of (pow d 2) in c 7.582 * [taylor]: Taking taylor expansion of d in c 7.582 * [backup-simplify]: Simplify d into d 7.582 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.582 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 7.583 * [backup-simplify]: Simplify (+ 1 0) into 1 7.583 * [backup-simplify]: Simplify (sqrt 1) into 1 7.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.584 * [backup-simplify]: Simplify (+ 0 0) into 0 7.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.585 * [taylor]: Taking taylor expansion of 1 in d 7.585 * [backup-simplify]: Simplify 1 into 1 7.585 * [taylor]: Taking taylor expansion of 0 in d 7.585 * [backup-simplify]: Simplify 0 into 0 7.585 * [backup-simplify]: Simplify 1 into 1 7.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.586 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 7.587 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 7.587 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 7.587 * [taylor]: Taking taylor expansion of 1/2 in d 7.587 * [backup-simplify]: Simplify 1/2 into 1/2 7.587 * [taylor]: Taking taylor expansion of (pow d 2) in d 7.587 * [taylor]: Taking taylor expansion of d in d 7.587 * [backup-simplify]: Simplify 0 into 0 7.587 * [backup-simplify]: Simplify 1 into 1 7.587 * [backup-simplify]: Simplify (* 1 1) into 1 7.587 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.588 * [backup-simplify]: Simplify 0 into 0 7.588 * [backup-simplify]: Simplify 0 into 0 7.588 * [backup-simplify]: Simplify 0 into 0 7.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.590 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 7.590 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 7.590 * [backup-simplify]: Simplify (+ 0 0) into 0 7.590 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 7.590 * [taylor]: Taking taylor expansion of 0 in d 7.590 * [backup-simplify]: Simplify 0 into 0 7.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.591 * [backup-simplify]: Simplify 0 into 0 7.591 * [backup-simplify]: Simplify 0 into 0 7.591 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) 7.592 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 7.592 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2))) 7.592 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0 7.592 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d 7.592 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 7.592 * [taylor]: Taking taylor expansion of (pow c 2) in d 7.592 * [taylor]: Taking taylor expansion of c in d 7.592 * [backup-simplify]: Simplify c into c 7.592 * [taylor]: Taking taylor expansion of (pow d 2) in d 7.592 * [taylor]: Taking taylor expansion of d in d 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 1 into 1 7.592 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.592 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 7.592 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c 7.592 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 7.592 * [backup-simplify]: Simplify (+ 0 0) into 0 7.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 7.592 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 7.592 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 7.592 * [taylor]: Taking taylor expansion of (pow c 2) in c 7.592 * [taylor]: Taking taylor expansion of c in c 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 1 into 1 7.593 * [taylor]: Taking taylor expansion of (pow d 2) in c 7.593 * [taylor]: Taking taylor expansion of d in c 7.593 * [backup-simplify]: Simplify d into d 7.593 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.593 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 7.593 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 7.593 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 7.593 * [backup-simplify]: Simplify (+ 0 0) into 0 7.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 7.593 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 7.593 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 7.593 * [taylor]: Taking taylor expansion of (pow c 2) in c 7.593 * [taylor]: Taking taylor expansion of c in c 7.593 * [backup-simplify]: Simplify 0 into 0 7.593 * [backup-simplify]: Simplify 1 into 1 7.593 * [taylor]: Taking taylor expansion of (pow d 2) in c 7.593 * [taylor]: Taking taylor expansion of d in c 7.593 * [backup-simplify]: Simplify d into d 7.593 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.593 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 7.593 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 7.593 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 7.594 * [backup-simplify]: Simplify (+ 0 0) into 0 7.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 7.594 * [taylor]: Taking taylor expansion of d in d 7.594 * [backup-simplify]: Simplify 0 into 0 7.594 * [backup-simplify]: Simplify 1 into 1 7.594 * [backup-simplify]: Simplify 0 into 0 7.594 * [taylor]: Taking taylor expansion of 0 in d 7.594 * [backup-simplify]: Simplify 0 into 0 7.594 * [backup-simplify]: Simplify 0 into 0 7.594 * [backup-simplify]: Simplify 1 into 1 7.594 * [backup-simplify]: Simplify (* 1 1) into 1 7.595 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 7.595 * [backup-simplify]: Simplify (+ 1 0) into 1 7.595 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) 7.595 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d 7.595 * [taylor]: Taking taylor expansion of 1/2 in d 7.595 * [backup-simplify]: Simplify 1/2 into 1/2 7.595 * [taylor]: Taking taylor expansion of d in d 7.595 * [backup-simplify]: Simplify 0 into 0 7.595 * [backup-simplify]: Simplify 1 into 1 7.596 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.596 * [backup-simplify]: Simplify 0 into 0 7.596 * [backup-simplify]: Simplify 0 into 0 7.596 * [backup-simplify]: Simplify 0 into 0 7.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.597 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 7.597 * [backup-simplify]: Simplify (+ 0 0) into 0 7.597 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 7.597 * [taylor]: Taking taylor expansion of 0 in d 7.597 * [backup-simplify]: Simplify 0 into 0 7.597 * [backup-simplify]: Simplify 0 into 0 7.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.598 * [backup-simplify]: Simplify 0 into 0 7.598 * [backup-simplify]: Simplify 0 into 0 7.598 * [backup-simplify]: Simplify (* 1 (* d 1)) into d 7.598 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 7.598 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 7.598 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 7.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 7.598 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 7.598 * [taylor]: Taking taylor expansion of (pow c 2) in d 7.598 * [taylor]: Taking taylor expansion of c in d 7.598 * [backup-simplify]: Simplify c into c 7.598 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.599 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.599 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 7.599 * [taylor]: Taking taylor expansion of (pow d 2) in d 7.599 * [taylor]: Taking taylor expansion of d in d 7.599 * [backup-simplify]: Simplify 0 into 0 7.599 * [backup-simplify]: Simplify 1 into 1 7.599 * [backup-simplify]: Simplify (* 1 1) into 1 7.599 * [backup-simplify]: Simplify (/ 1 1) into 1 7.599 * [backup-simplify]: Simplify (+ 0 1) into 1 7.600 * [backup-simplify]: Simplify (sqrt 1) into 1 7.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.601 * [backup-simplify]: Simplify (+ 0 0) into 0 7.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.602 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 7.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 7.602 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 7.602 * [taylor]: Taking taylor expansion of (pow c 2) in c 7.602 * [taylor]: Taking taylor expansion of c in c 7.602 * [backup-simplify]: Simplify 0 into 0 7.602 * [backup-simplify]: Simplify 1 into 1 7.603 * [backup-simplify]: Simplify (* 1 1) into 1 7.603 * [backup-simplify]: Simplify (/ 1 1) into 1 7.603 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 7.603 * [taylor]: Taking taylor expansion of (pow d 2) in c 7.603 * [taylor]: Taking taylor expansion of d in c 7.603 * [backup-simplify]: Simplify d into d 7.603 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.603 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 7.604 * [backup-simplify]: Simplify (+ 1 0) into 1 7.604 * [backup-simplify]: Simplify (sqrt 1) into 1 7.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.606 * [backup-simplify]: Simplify (+ 0 0) into 0 7.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.606 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 7.606 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 7.606 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 7.606 * [taylor]: Taking taylor expansion of (pow c 2) in c 7.606 * [taylor]: Taking taylor expansion of c in c 7.606 * [backup-simplify]: Simplify 0 into 0 7.606 * [backup-simplify]: Simplify 1 into 1 7.607 * [backup-simplify]: Simplify (* 1 1) into 1 7.607 * [backup-simplify]: Simplify (/ 1 1) into 1 7.607 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 7.607 * [taylor]: Taking taylor expansion of (pow d 2) in c 7.607 * [taylor]: Taking taylor expansion of d in c 7.607 * [backup-simplify]: Simplify d into d 7.607 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.607 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 7.608 * [backup-simplify]: Simplify (+ 1 0) into 1 7.608 * [backup-simplify]: Simplify (sqrt 1) into 1 7.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.610 * [backup-simplify]: Simplify (+ 0 0) into 0 7.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.611 * [taylor]: Taking taylor expansion of 1 in d 7.611 * [backup-simplify]: Simplify 1 into 1 7.611 * [taylor]: Taking taylor expansion of 0 in d 7.611 * [backup-simplify]: Simplify 0 into 0 7.611 * [backup-simplify]: Simplify 1 into 1 7.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.612 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 7.614 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 7.614 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 7.614 * [taylor]: Taking taylor expansion of 1/2 in d 7.614 * [backup-simplify]: Simplify 1/2 into 1/2 7.614 * [taylor]: Taking taylor expansion of (pow d 2) in d 7.614 * [taylor]: Taking taylor expansion of d in d 7.614 * [backup-simplify]: Simplify 0 into 0 7.614 * [backup-simplify]: Simplify 1 into 1 7.614 * [backup-simplify]: Simplify (* 1 1) into 1 7.615 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.616 * [backup-simplify]: Simplify 0 into 0 7.616 * [backup-simplify]: Simplify 0 into 0 7.616 * [backup-simplify]: Simplify 0 into 0 7.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.618 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 7.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 7.618 * [backup-simplify]: Simplify (+ 0 0) into 0 7.619 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 7.619 * [taylor]: Taking taylor expansion of 0 in d 7.619 * [backup-simplify]: Simplify 0 into 0 7.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.621 * [backup-simplify]: Simplify 0 into 0 7.621 * [backup-simplify]: Simplify 0 into 0 7.621 * [backup-simplify]: Simplify 0 into 0 7.621 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c 7.621 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 7.621 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 7.621 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 7.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 7.621 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 7.621 * [taylor]: Taking taylor expansion of (pow c 2) in d 7.621 * [taylor]: Taking taylor expansion of c in d 7.621 * [backup-simplify]: Simplify c into c 7.622 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.622 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.622 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 7.622 * [taylor]: Taking taylor expansion of (pow d 2) in d 7.622 * [taylor]: Taking taylor expansion of d in d 7.622 * [backup-simplify]: Simplify 0 into 0 7.622 * [backup-simplify]: Simplify 1 into 1 7.622 * [backup-simplify]: Simplify (* 1 1) into 1 7.622 * [backup-simplify]: Simplify (/ 1 1) into 1 7.623 * [backup-simplify]: Simplify (+ 0 1) into 1 7.623 * [backup-simplify]: Simplify (sqrt 1) into 1 7.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.625 * [backup-simplify]: Simplify (+ 0 0) into 0 7.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.626 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 7.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 7.626 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 7.626 * [taylor]: Taking taylor expansion of (pow c 2) in c 7.626 * [taylor]: Taking taylor expansion of c in c 7.626 * [backup-simplify]: Simplify 0 into 0 7.626 * [backup-simplify]: Simplify 1 into 1 7.626 * [backup-simplify]: Simplify (* 1 1) into 1 7.627 * [backup-simplify]: Simplify (/ 1 1) into 1 7.627 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 7.627 * [taylor]: Taking taylor expansion of (pow d 2) in c 7.627 * [taylor]: Taking taylor expansion of d in c 7.627 * [backup-simplify]: Simplify d into d 7.627 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.627 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 7.627 * [backup-simplify]: Simplify (+ 1 0) into 1 7.628 * [backup-simplify]: Simplify (sqrt 1) into 1 7.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.629 * [backup-simplify]: Simplify (+ 0 0) into 0 7.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.630 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 7.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 7.630 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 7.630 * [taylor]: Taking taylor expansion of (pow c 2) in c 7.630 * [taylor]: Taking taylor expansion of c in c 7.630 * [backup-simplify]: Simplify 0 into 0 7.630 * [backup-simplify]: Simplify 1 into 1 7.631 * [backup-simplify]: Simplify (* 1 1) into 1 7.631 * [backup-simplify]: Simplify (/ 1 1) into 1 7.631 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 7.631 * [taylor]: Taking taylor expansion of (pow d 2) in c 7.631 * [taylor]: Taking taylor expansion of d in c 7.631 * [backup-simplify]: Simplify d into d 7.631 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.631 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 7.632 * [backup-simplify]: Simplify (+ 1 0) into 1 7.632 * [backup-simplify]: Simplify (sqrt 1) into 1 7.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.634 * [backup-simplify]: Simplify (+ 0 0) into 0 7.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.635 * [taylor]: Taking taylor expansion of 1 in d 7.635 * [backup-simplify]: Simplify 1 into 1 7.635 * [taylor]: Taking taylor expansion of 0 in d 7.635 * [backup-simplify]: Simplify 0 into 0 7.635 * [backup-simplify]: Simplify 1 into 1 7.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.636 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 7.638 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 7.638 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 7.638 * [taylor]: Taking taylor expansion of 1/2 in d 7.638 * [backup-simplify]: Simplify 1/2 into 1/2 7.638 * [taylor]: Taking taylor expansion of (pow d 2) in d 7.638 * [taylor]: Taking taylor expansion of d in d 7.638 * [backup-simplify]: Simplify 0 into 0 7.638 * [backup-simplify]: Simplify 1 into 1 7.638 * [backup-simplify]: Simplify (* 1 1) into 1 7.639 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.640 * [backup-simplify]: Simplify 0 into 0 7.640 * [backup-simplify]: Simplify 0 into 0 7.640 * [backup-simplify]: Simplify 0 into 0 7.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.642 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 7.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 7.642 * [backup-simplify]: Simplify (+ 0 0) into 0 7.643 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 7.643 * [taylor]: Taking taylor expansion of 0 in d 7.643 * [backup-simplify]: Simplify 0 into 0 7.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.649 * [backup-simplify]: Simplify 0 into 0 7.649 * [backup-simplify]: Simplify 0 into 0 7.649 * [backup-simplify]: Simplify 0 into 0 7.649 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) 7.649 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 7.650 * [backup-simplify]: Simplify (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) into (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) 7.650 * [approximate]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in (b d a c) around 0 7.650 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c 7.650 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c 7.650 * [taylor]: Taking taylor expansion of (* a c) in c 7.650 * [taylor]: Taking taylor expansion of a in c 7.650 * [backup-simplify]: Simplify a into a 7.650 * [taylor]: Taking taylor expansion of c in c 7.650 * [backup-simplify]: Simplify 0 into 0 7.650 * [backup-simplify]: Simplify 1 into 1 7.650 * [taylor]: Taking taylor expansion of (* b d) in c 7.650 * [taylor]: Taking taylor expansion of b in c 7.650 * [backup-simplify]: Simplify b into b 7.650 * [taylor]: Taking taylor expansion of d in c 7.650 * [backup-simplify]: Simplify d into d 7.650 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c 7.650 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c 7.650 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 7.650 * [taylor]: Taking taylor expansion of (pow c 2) in c 7.650 * [taylor]: Taking taylor expansion of c in c 7.650 * [backup-simplify]: Simplify 0 into 0 7.650 * [backup-simplify]: Simplify 1 into 1 7.650 * [taylor]: Taking taylor expansion of (pow d 2) in c 7.650 * [taylor]: Taking taylor expansion of d in c 7.650 * [backup-simplify]: Simplify d into d 7.650 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.650 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 7.650 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 7.651 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d) 7.651 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 7.651 * [backup-simplify]: Simplify (+ 0 0) into 0 7.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 7.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0 7.652 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a 7.652 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 7.652 * [taylor]: Taking taylor expansion of (* a c) in a 7.652 * [taylor]: Taking taylor expansion of a in a 7.652 * [backup-simplify]: Simplify 0 into 0 7.652 * [backup-simplify]: Simplify 1 into 1 7.652 * [taylor]: Taking taylor expansion of c in a 7.652 * [backup-simplify]: Simplify c into c 7.652 * [taylor]: Taking taylor expansion of (* b d) in a 7.652 * [taylor]: Taking taylor expansion of b in a 7.652 * [backup-simplify]: Simplify b into b 7.652 * [taylor]: Taking taylor expansion of d in a 7.652 * [backup-simplify]: Simplify d into d 7.652 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a 7.652 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a 7.652 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a 7.652 * [taylor]: Taking taylor expansion of (pow c 2) in a 7.652 * [taylor]: Taking taylor expansion of c in a 7.652 * [backup-simplify]: Simplify c into c 7.652 * [taylor]: Taking taylor expansion of (pow d 2) in a 7.652 * [taylor]: Taking taylor expansion of d in a 7.652 * [backup-simplify]: Simplify d into d 7.652 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.652 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.653 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 7.653 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2))) 7.653 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) 7.653 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 7.653 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 7.653 * [backup-simplify]: Simplify (+ 0 0) into 0 7.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 7.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0 7.654 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in d 7.654 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d 7.654 * [taylor]: Taking taylor expansion of (* a c) in d 7.654 * [taylor]: Taking taylor expansion of a in d 7.654 * [backup-simplify]: Simplify a into a 7.654 * [taylor]: Taking taylor expansion of c in d 7.654 * [backup-simplify]: Simplify c into c 7.654 * [taylor]: Taking taylor expansion of (* b d) in d 7.654 * [taylor]: Taking taylor expansion of b in d 7.654 * [backup-simplify]: Simplify b into b 7.654 * [taylor]: Taking taylor expansion of d in d 7.654 * [backup-simplify]: Simplify 0 into 0 7.654 * [backup-simplify]: Simplify 1 into 1 7.654 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in d 7.654 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in d 7.654 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 7.654 * [taylor]: Taking taylor expansion of (pow c 2) in d 7.655 * [taylor]: Taking taylor expansion of c in d 7.655 * [backup-simplify]: Simplify c into c 7.655 * [taylor]: Taking taylor expansion of (pow d 2) in d 7.655 * [taylor]: Taking taylor expansion of d in d 7.655 * [backup-simplify]: Simplify 0 into 0 7.655 * [backup-simplify]: Simplify 1 into 1 7.655 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.655 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 7.655 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.655 * [backup-simplify]: Simplify (sqrt (/ 1 (pow c 2))) into (/ 1 c) 7.655 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 7.655 * [backup-simplify]: Simplify (+ 0 0) into 0 7.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 7.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow c 2))))) into 0 7.656 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in b 7.656 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b 7.656 * [taylor]: Taking taylor expansion of (* a c) in b 7.656 * [taylor]: Taking taylor expansion of a in b 7.656 * [backup-simplify]: Simplify a into a 7.656 * [taylor]: Taking taylor expansion of c in b 7.656 * [backup-simplify]: Simplify c into c 7.656 * [taylor]: Taking taylor expansion of (* b d) in b 7.656 * [taylor]: Taking taylor expansion of b in b 7.656 * [backup-simplify]: Simplify 0 into 0 7.656 * [backup-simplify]: Simplify 1 into 1 7.656 * [taylor]: Taking taylor expansion of d in b 7.656 * [backup-simplify]: Simplify d into d 7.656 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in b 7.656 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in b 7.656 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b 7.656 * [taylor]: Taking taylor expansion of (pow c 2) in b 7.656 * [taylor]: Taking taylor expansion of c in b 7.656 * [backup-simplify]: Simplify c into c 7.656 * [taylor]: Taking taylor expansion of (pow d 2) in b 7.656 * [taylor]: Taking taylor expansion of d in b 7.656 * [backup-simplify]: Simplify d into d 7.656 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.656 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.657 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 7.657 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2))) 7.657 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) 7.657 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 7.657 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 7.658 * [backup-simplify]: Simplify (+ 0 0) into 0 7.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 7.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0 7.658 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in b 7.658 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b 7.658 * [taylor]: Taking taylor expansion of (* a c) in b 7.658 * [taylor]: Taking taylor expansion of a in b 7.658 * [backup-simplify]: Simplify a into a 7.658 * [taylor]: Taking taylor expansion of c in b 7.658 * [backup-simplify]: Simplify c into c 7.658 * [taylor]: Taking taylor expansion of (* b d) in b 7.658 * [taylor]: Taking taylor expansion of b in b 7.658 * [backup-simplify]: Simplify 0 into 0 7.658 * [backup-simplify]: Simplify 1 into 1 7.658 * [taylor]: Taking taylor expansion of d in b 7.658 * [backup-simplify]: Simplify d into d 7.658 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in b 7.658 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in b 7.658 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b 7.659 * [taylor]: Taking taylor expansion of (pow c 2) in b 7.659 * [taylor]: Taking taylor expansion of c in b 7.659 * [backup-simplify]: Simplify c into c 7.659 * [taylor]: Taking taylor expansion of (pow d 2) in b 7.659 * [taylor]: Taking taylor expansion of d in b 7.659 * [backup-simplify]: Simplify d into d 7.659 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.659 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.659 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 7.659 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2))) 7.659 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) 7.659 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 7.659 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 7.660 * [backup-simplify]: Simplify (+ 0 0) into 0 7.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 7.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0 7.660 * [backup-simplify]: Simplify (* a c) into (* a c) 7.660 * [backup-simplify]: Simplify (* 0 d) into 0 7.660 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c) 7.661 * [backup-simplify]: Simplify (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) into (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) 7.661 * [taylor]: Taking taylor expansion of (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in d 7.661 * [taylor]: Taking taylor expansion of (* a c) in d 7.661 * [taylor]: Taking taylor expansion of a in d 7.661 * [backup-simplify]: Simplify a into a 7.661 * [taylor]: Taking taylor expansion of c in d 7.661 * [backup-simplify]: Simplify c into c 7.661 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in d 7.661 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in d 7.661 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 7.661 * [taylor]: Taking taylor expansion of (pow c 2) in d 7.661 * [taylor]: Taking taylor expansion of c in d 7.661 * [backup-simplify]: Simplify c into c 7.661 * [taylor]: Taking taylor expansion of (pow d 2) in d 7.661 * [taylor]: Taking taylor expansion of d in d 7.661 * [backup-simplify]: Simplify 0 into 0 7.661 * [backup-simplify]: Simplify 1 into 1 7.661 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.661 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 7.661 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.661 * [backup-simplify]: Simplify (sqrt (/ 1 (pow c 2))) into (/ 1 c) 7.661 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 7.662 * [backup-simplify]: Simplify (+ 0 0) into 0 7.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 7.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow c 2))))) into 0 7.662 * [backup-simplify]: Simplify (* a c) into (* a c) 7.662 * [backup-simplify]: Simplify (* (* a c) (/ 1 c)) into a 7.662 * [taylor]: Taking taylor expansion of a in a 7.662 * [backup-simplify]: Simplify 0 into 0 7.662 * [backup-simplify]: Simplify 1 into 1 7.662 * [taylor]: Taking taylor expansion of 0 in c 7.662 * [backup-simplify]: Simplify 0 into 0 7.662 * [backup-simplify]: Simplify 0 into 0 7.663 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0 7.663 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 7.663 * [backup-simplify]: Simplify (+ 0 d) into d 7.663 * [backup-simplify]: Simplify (+ (* (* a c) 0) (* d (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into (* d (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) 7.663 * [taylor]: Taking taylor expansion of (* d (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in d 7.663 * [taylor]: Taking taylor expansion of d in d 7.663 * [backup-simplify]: Simplify 0 into 0 7.663 * [backup-simplify]: Simplify 1 into 1 7.663 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in d 7.663 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in d 7.663 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 7.663 * [taylor]: Taking taylor expansion of (pow c 2) in d 7.663 * [taylor]: Taking taylor expansion of c in d 7.664 * [backup-simplify]: Simplify c into c 7.664 * [taylor]: Taking taylor expansion of (pow d 2) in d 7.664 * [taylor]: Taking taylor expansion of d in d 7.664 * [backup-simplify]: Simplify 0 into 0 7.664 * [backup-simplify]: Simplify 1 into 1 7.664 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.664 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 7.664 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.664 * [backup-simplify]: Simplify (sqrt (/ 1 (pow c 2))) into (/ 1 c) 7.664 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 7.664 * [backup-simplify]: Simplify (+ 0 0) into 0 7.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 7.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow c 2))))) into 0 7.665 * [backup-simplify]: Simplify (* 0 (/ 1 c)) into 0 7.665 * [taylor]: Taking taylor expansion of 0 in a 7.665 * [backup-simplify]: Simplify 0 into 0 7.665 * [taylor]: Taking taylor expansion of 0 in c 7.665 * [backup-simplify]: Simplify 0 into 0 7.665 * [backup-simplify]: Simplify 0 into 0 7.665 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0 7.665 * [backup-simplify]: Simplify (+ (* (* a c) 0) (* 0 (/ 1 c))) into 0 7.665 * [taylor]: Taking taylor expansion of 0 in a 7.665 * [backup-simplify]: Simplify 0 into 0 7.665 * [taylor]: Taking taylor expansion of 0 in c 7.665 * [backup-simplify]: Simplify 0 into 0 7.665 * [backup-simplify]: Simplify 0 into 0 7.665 * [taylor]: Taking taylor expansion of 1 in c 7.665 * [backup-simplify]: Simplify 1 into 1 7.665 * [backup-simplify]: Simplify 1 into 1 7.665 * [backup-simplify]: Simplify 0 into 0 7.666 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 7.666 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 7.667 * [backup-simplify]: Simplify (+ 0 0) into 0 7.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))) (* 0 (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 7.668 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0 7.668 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0 7.669 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 7.669 * [backup-simplify]: Simplify (+ 0 0) into 0 7.669 * [backup-simplify]: Simplify (+ (* (* a c) 0) (+ (* d 0) (* 0 (sqrt (/ 1 (+ (pow c 2) (pow d 2))))))) into 0 7.670 * [taylor]: Taking taylor expansion of 0 in d 7.670 * [backup-simplify]: Simplify 0 into 0 7.670 * [taylor]: Taking taylor expansion of 0 in a 7.670 * [backup-simplify]: Simplify 0 into 0 7.670 * [taylor]: Taking taylor expansion of 0 in c 7.670 * [backup-simplify]: Simplify 0 into 0 7.670 * [backup-simplify]: Simplify 0 into 0 7.670 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1 c))) into (/ 1 c) 7.670 * [taylor]: Taking taylor expansion of (/ 1 c) in a 7.670 * [taylor]: Taking taylor expansion of c in a 7.670 * [backup-simplify]: Simplify c into c 7.670 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 7.670 * [taylor]: Taking taylor expansion of (/ 1 c) in c 7.670 * [taylor]: Taking taylor expansion of c in c 7.670 * [backup-simplify]: Simplify 0 into 0 7.670 * [backup-simplify]: Simplify 1 into 1 7.671 * [backup-simplify]: Simplify (/ 1 1) into 1 7.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.671 * [backup-simplify]: Simplify 0 into 0 7.672 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 7.672 * [backup-simplify]: Simplify (* 1 1) into 1 7.673 * [backup-simplify]: Simplify (+ 0 1) into 1 7.673 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 1 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into (- (/ 1 (pow c 4))) 7.674 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow c 4))) (pow 0 2) (+)) (* 2 (/ 1 c))) into (/ -1/2 (pow c 3)) 7.674 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0 7.675 * [backup-simplify]: Simplify (+ (* (* a c) (/ -1/2 (pow c 3))) (+ (* 0 0) (* 0 (/ 1 c)))) into (- (* 1/2 (/ a (pow c 2)))) 7.675 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ a (pow c 2)))) in a 7.675 * [taylor]: Taking taylor expansion of (* 1/2 (/ a (pow c 2))) in a 7.675 * [taylor]: Taking taylor expansion of 1/2 in a 7.675 * [backup-simplify]: Simplify 1/2 into 1/2 7.675 * [taylor]: Taking taylor expansion of (/ a (pow c 2)) in a 7.675 * [taylor]: Taking taylor expansion of a in a 7.675 * [backup-simplify]: Simplify 0 into 0 7.675 * [backup-simplify]: Simplify 1 into 1 7.675 * [taylor]: Taking taylor expansion of (pow c 2) in a 7.675 * [taylor]: Taking taylor expansion of c in a 7.675 * [backup-simplify]: Simplify c into c 7.675 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.675 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.675 * [taylor]: Taking taylor expansion of 0 in c 7.675 * [backup-simplify]: Simplify 0 into 0 7.675 * [backup-simplify]: Simplify 0 into 0 7.676 * [taylor]: Taking taylor expansion of 0 in c 7.676 * [backup-simplify]: Simplify 0 into 0 7.676 * [backup-simplify]: Simplify 0 into 0 7.676 * [taylor]: Taking taylor expansion of 0 in c 7.676 * [backup-simplify]: Simplify 0 into 0 7.676 * [backup-simplify]: Simplify 0 into 0 7.676 * [backup-simplify]: Simplify (* 1 (* 1 (* a (* 1 1)))) into a 7.677 * [backup-simplify]: Simplify (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) into (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) 7.677 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in (b d a c) around 0 7.677 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c 7.677 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 7.677 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 7.677 * [taylor]: Taking taylor expansion of (* b d) in c 7.677 * [taylor]: Taking taylor expansion of b in c 7.677 * [backup-simplify]: Simplify b into b 7.677 * [taylor]: Taking taylor expansion of d in c 7.677 * [backup-simplify]: Simplify d into d 7.677 * [backup-simplify]: Simplify (* b d) into (* b d) 7.677 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 7.677 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 7.677 * [taylor]: Taking taylor expansion of (* a c) in c 7.677 * [taylor]: Taking taylor expansion of a in c 7.677 * [backup-simplify]: Simplify a into a 7.677 * [taylor]: Taking taylor expansion of c in c 7.677 * [backup-simplify]: Simplify 0 into 0 7.677 * [backup-simplify]: Simplify 1 into 1 7.677 * [backup-simplify]: Simplify (* a 0) into 0 7.678 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 7.678 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.678 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 7.678 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 7.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 7.678 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 7.678 * [taylor]: Taking taylor expansion of (pow c 2) in c 7.678 * [taylor]: Taking taylor expansion of c in c 7.678 * [backup-simplify]: Simplify 0 into 0 7.678 * [backup-simplify]: Simplify 1 into 1 7.678 * [backup-simplify]: Simplify (* 1 1) into 1 7.679 * [backup-simplify]: Simplify (/ 1 1) into 1 7.679 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 7.679 * [taylor]: Taking taylor expansion of (pow d 2) in c 7.679 * [taylor]: Taking taylor expansion of d in c 7.679 * [backup-simplify]: Simplify d into d 7.679 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.679 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 7.679 * [backup-simplify]: Simplify (+ 1 0) into 1 7.680 * [backup-simplify]: Simplify (/ 1 1) into 1 7.680 * [backup-simplify]: Simplify (sqrt 1) into 1 7.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.681 * [backup-simplify]: Simplify (+ 0 0) into 0 7.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.682 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a 7.682 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 7.682 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 7.682 * [taylor]: Taking taylor expansion of (* b d) in a 7.682 * [taylor]: Taking taylor expansion of b in a 7.682 * [backup-simplify]: Simplify b into b 7.682 * [taylor]: Taking taylor expansion of d in a 7.682 * [backup-simplify]: Simplify d into d 7.682 * [backup-simplify]: Simplify (* b d) into (* b d) 7.682 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 7.682 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 7.682 * [taylor]: Taking taylor expansion of (* a c) in a 7.682 * [taylor]: Taking taylor expansion of a in a 7.682 * [backup-simplify]: Simplify 0 into 0 7.682 * [backup-simplify]: Simplify 1 into 1 7.682 * [taylor]: Taking taylor expansion of c in a 7.682 * [backup-simplify]: Simplify c into c 7.682 * [backup-simplify]: Simplify (* 0 c) into 0 7.682 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 7.682 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 7.682 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a 7.682 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 7.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 7.683 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 7.683 * [taylor]: Taking taylor expansion of (pow c 2) in a 7.683 * [taylor]: Taking taylor expansion of c in a 7.683 * [backup-simplify]: Simplify c into c 7.683 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.683 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.683 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 7.683 * [taylor]: Taking taylor expansion of (pow d 2) in a 7.683 * [taylor]: Taking taylor expansion of d in a 7.683 * [backup-simplify]: Simplify d into d 7.683 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.683 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 7.683 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 7.683 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 7.683 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 7.683 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 7.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 7.683 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 7.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 7.684 * [backup-simplify]: Simplify (+ 0 0) into 0 7.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 7.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 7.684 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d 7.684 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 7.684 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 7.684 * [taylor]: Taking taylor expansion of (* b d) in d 7.684 * [taylor]: Taking taylor expansion of b in d 7.684 * [backup-simplify]: Simplify b into b 7.684 * [taylor]: Taking taylor expansion of d in d 7.684 * [backup-simplify]: Simplify 0 into 0 7.684 * [backup-simplify]: Simplify 1 into 1 7.684 * [backup-simplify]: Simplify (* b 0) into 0 7.685 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 7.685 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.685 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 7.685 * [taylor]: Taking taylor expansion of (* a c) in d 7.685 * [taylor]: Taking taylor expansion of a in d 7.685 * [backup-simplify]: Simplify a into a 7.685 * [taylor]: Taking taylor expansion of c in d 7.685 * [backup-simplify]: Simplify c into c 7.685 * [backup-simplify]: Simplify (* a c) into (* a c) 7.685 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 7.685 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d 7.685 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 7.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 7.685 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 7.685 * [taylor]: Taking taylor expansion of (pow c 2) in d 7.685 * [taylor]: Taking taylor expansion of c in d 7.685 * [backup-simplify]: Simplify c into c 7.685 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.685 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.685 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 7.685 * [taylor]: Taking taylor expansion of (pow d 2) in d 7.685 * [taylor]: Taking taylor expansion of d in d 7.685 * [backup-simplify]: Simplify 0 into 0 7.685 * [backup-simplify]: Simplify 1 into 1 7.685 * [backup-simplify]: Simplify (* 1 1) into 1 7.686 * [backup-simplify]: Simplify (/ 1 1) into 1 7.686 * [backup-simplify]: Simplify (+ 0 1) into 1 7.686 * [backup-simplify]: Simplify (/ 1 1) into 1 7.686 * [backup-simplify]: Simplify (sqrt 1) into 1 7.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.687 * [backup-simplify]: Simplify (+ 0 0) into 0 7.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.688 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b 7.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 7.688 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 7.688 * [taylor]: Taking taylor expansion of (* b d) in b 7.688 * [taylor]: Taking taylor expansion of b in b 7.688 * [backup-simplify]: Simplify 0 into 0 7.688 * [backup-simplify]: Simplify 1 into 1 7.688 * [taylor]: Taking taylor expansion of d in b 7.688 * [backup-simplify]: Simplify d into d 7.688 * [backup-simplify]: Simplify (* 0 d) into 0 7.689 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 7.689 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 7.689 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 7.689 * [taylor]: Taking taylor expansion of (* a c) in b 7.689 * [taylor]: Taking taylor expansion of a in b 7.689 * [backup-simplify]: Simplify a into a 7.689 * [taylor]: Taking taylor expansion of c in b 7.689 * [backup-simplify]: Simplify c into c 7.689 * [backup-simplify]: Simplify (* a c) into (* a c) 7.689 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 7.689 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b 7.689 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 7.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 7.689 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 7.689 * [taylor]: Taking taylor expansion of (pow c 2) in b 7.689 * [taylor]: Taking taylor expansion of c in b 7.689 * [backup-simplify]: Simplify c into c 7.689 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.689 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.689 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 7.689 * [taylor]: Taking taylor expansion of (pow d 2) in b 7.689 * [taylor]: Taking taylor expansion of d in b 7.689 * [backup-simplify]: Simplify d into d 7.689 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.689 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 7.689 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 7.689 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 7.690 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 7.690 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 7.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 7.690 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 7.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 7.690 * [backup-simplify]: Simplify (+ 0 0) into 0 7.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 7.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 7.691 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b 7.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 7.691 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 7.691 * [taylor]: Taking taylor expansion of (* b d) in b 7.691 * [taylor]: Taking taylor expansion of b in b 7.691 * [backup-simplify]: Simplify 0 into 0 7.691 * [backup-simplify]: Simplify 1 into 1 7.691 * [taylor]: Taking taylor expansion of d in b 7.691 * [backup-simplify]: Simplify d into d 7.691 * [backup-simplify]: Simplify (* 0 d) into 0 7.691 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 7.691 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 7.691 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 7.691 * [taylor]: Taking taylor expansion of (* a c) in b 7.691 * [taylor]: Taking taylor expansion of a in b 7.691 * [backup-simplify]: Simplify a into a 7.691 * [taylor]: Taking taylor expansion of c in b 7.691 * [backup-simplify]: Simplify c into c 7.691 * [backup-simplify]: Simplify (* a c) into (* a c) 7.691 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 7.691 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b 7.691 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 7.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 7.691 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 7.691 * [taylor]: Taking taylor expansion of (pow c 2) in b 7.691 * [taylor]: Taking taylor expansion of c in b 7.691 * [backup-simplify]: Simplify c into c 7.691 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.691 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.691 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 7.691 * [taylor]: Taking taylor expansion of (pow d 2) in b 7.691 * [taylor]: Taking taylor expansion of d in b 7.691 * [backup-simplify]: Simplify d into d 7.691 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.692 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 7.692 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 7.692 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 7.692 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 7.692 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 7.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 7.692 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 7.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 7.692 * [backup-simplify]: Simplify (+ 0 0) into 0 7.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 7.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 7.693 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 7.693 * [backup-simplify]: Simplify (* (/ 1 d) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) 7.693 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) in d 7.693 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d 7.693 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 7.693 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 7.693 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 7.693 * [taylor]: Taking taylor expansion of (pow c 2) in d 7.693 * [taylor]: Taking taylor expansion of c in d 7.693 * [backup-simplify]: Simplify c into c 7.693 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.693 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.693 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 7.693 * [taylor]: Taking taylor expansion of (pow d 2) in d 7.693 * [taylor]: Taking taylor expansion of d in d 7.693 * [backup-simplify]: Simplify 0 into 0 7.693 * [backup-simplify]: Simplify 1 into 1 7.694 * [backup-simplify]: Simplify (* 1 1) into 1 7.694 * [backup-simplify]: Simplify (/ 1 1) into 1 7.694 * [backup-simplify]: Simplify (+ 0 1) into 1 7.694 * [backup-simplify]: Simplify (/ 1 1) into 1 7.695 * [backup-simplify]: Simplify (sqrt 1) into 1 7.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.696 * [backup-simplify]: Simplify (+ 0 0) into 0 7.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.697 * [taylor]: Taking taylor expansion of (/ 1 d) in d 7.697 * [taylor]: Taking taylor expansion of d in d 7.697 * [backup-simplify]: Simplify 0 into 0 7.697 * [backup-simplify]: Simplify 1 into 1 7.697 * [backup-simplify]: Simplify (/ 1 1) into 1 7.697 * [backup-simplify]: Simplify (* 1 1) into 1 7.697 * [taylor]: Taking taylor expansion of 1 in a 7.697 * [backup-simplify]: Simplify 1 into 1 7.698 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 7.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 7.698 * [backup-simplify]: Simplify (+ 0 (/ 1 (* a c))) into (/ 1 (* a c)) 7.698 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) 7.698 * [taylor]: Taking taylor expansion of (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d 7.698 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 7.698 * [taylor]: Taking taylor expansion of (* a c) in d 7.698 * [taylor]: Taking taylor expansion of a in d 7.698 * [backup-simplify]: Simplify a into a 7.698 * [taylor]: Taking taylor expansion of c in d 7.698 * [backup-simplify]: Simplify c into c 7.698 * [backup-simplify]: Simplify (* a c) into (* a c) 7.698 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 7.698 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d 7.698 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 7.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 7.698 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 7.698 * [taylor]: Taking taylor expansion of (pow c 2) in d 7.698 * [taylor]: Taking taylor expansion of c in d 7.698 * [backup-simplify]: Simplify c into c 7.698 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.698 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.699 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 7.699 * [taylor]: Taking taylor expansion of (pow d 2) in d 7.699 * [taylor]: Taking taylor expansion of d in d 7.699 * [backup-simplify]: Simplify 0 into 0 7.699 * [backup-simplify]: Simplify 1 into 1 7.699 * [backup-simplify]: Simplify (* 1 1) into 1 7.699 * [backup-simplify]: Simplify (/ 1 1) into 1 7.699 * [backup-simplify]: Simplify (+ 0 1) into 1 7.700 * [backup-simplify]: Simplify (/ 1 1) into 1 7.700 * [backup-simplify]: Simplify (sqrt 1) into 1 7.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.701 * [backup-simplify]: Simplify (+ 0 0) into 0 7.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.703 * [taylor]: Taking taylor expansion of 0 in a 7.703 * [backup-simplify]: Simplify 0 into 0 7.703 * [taylor]: Taking taylor expansion of 1 in c 7.703 * [backup-simplify]: Simplify 1 into 1 7.703 * [backup-simplify]: Simplify 1 into 1 7.703 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 7.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 7.704 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 7.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 7.704 * [backup-simplify]: Simplify (+ 0 0) into 0 7.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 7.705 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 7.706 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 7.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 7.706 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0 7.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0 7.707 * [backup-simplify]: Simplify (+ 0 0) into 0 7.707 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (+ (* (/ 1 (* a c)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 7.707 * [taylor]: Taking taylor expansion of 0 in d 7.707 * [backup-simplify]: Simplify 0 into 0 7.707 * [taylor]: Taking taylor expansion of 0 in a 7.707 * [backup-simplify]: Simplify 0 into 0 7.707 * [backup-simplify]: Simplify (* (/ 1 (* a c)) 1) into (/ 1 (* a c)) 7.707 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 7.707 * [taylor]: Taking taylor expansion of (* a c) in a 7.707 * [taylor]: Taking taylor expansion of a in a 7.707 * [backup-simplify]: Simplify 0 into 0 7.707 * [backup-simplify]: Simplify 1 into 1 7.707 * [taylor]: Taking taylor expansion of c in a 7.707 * [backup-simplify]: Simplify c into c 7.707 * [backup-simplify]: Simplify (* 0 c) into 0 7.708 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 7.708 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 7.708 * [taylor]: Taking taylor expansion of (/ 1 c) in c 7.708 * [taylor]: Taking taylor expansion of c in c 7.708 * [backup-simplify]: Simplify 0 into 0 7.708 * [backup-simplify]: Simplify 1 into 1 7.708 * [backup-simplify]: Simplify (/ 1 1) into 1 7.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.709 * [backup-simplify]: Simplify 0 into 0 7.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.711 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) 0) into (/ 1 (pow c 2)) 7.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow c 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow c 2))) 7.713 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow c 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow c 2)) 7.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow c 2)) 1))) into (- (* 1/2 (/ 1 (pow c 2)))) 7.714 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow c 2)))) in a 7.714 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow c 2))) in a 7.714 * [taylor]: Taking taylor expansion of 1/2 in a 7.714 * [backup-simplify]: Simplify 1/2 into 1/2 7.714 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 7.714 * [taylor]: Taking taylor expansion of (pow c 2) in a 7.714 * [taylor]: Taking taylor expansion of c in a 7.714 * [backup-simplify]: Simplify c into c 7.714 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.714 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.714 * [taylor]: Taking taylor expansion of 0 in c 7.714 * [backup-simplify]: Simplify 0 into 0 7.714 * [backup-simplify]: Simplify 0 into 0 7.714 * [taylor]: Taking taylor expansion of 0 in c 7.714 * [backup-simplify]: Simplify 0 into 0 7.714 * [backup-simplify]: Simplify 0 into 0 7.715 * [backup-simplify]: Simplify 0 into 0 7.715 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 7.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 7.716 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 7.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 7.717 * [backup-simplify]: Simplify (+ 0 0) into 0 7.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 7.718 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 7.719 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 d))))) into 0 7.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 7.720 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0 7.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0 7.720 * [backup-simplify]: Simplify (+ 0 0) into 0 7.721 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (+ (* (/ 1 (* a c)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))))) into 0 7.721 * [taylor]: Taking taylor expansion of 0 in d 7.721 * [backup-simplify]: Simplify 0 into 0 7.721 * [taylor]: Taking taylor expansion of 0 in a 7.721 * [backup-simplify]: Simplify 0 into 0 7.721 * [taylor]: Taking taylor expansion of 0 in a 7.721 * [backup-simplify]: Simplify 0 into 0 7.721 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0 7.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0 7.722 * [backup-simplify]: Simplify (+ (* (/ 1 (* a c)) 0) (* 0 1)) into 0 7.722 * [taylor]: Taking taylor expansion of 0 in a 7.722 * [backup-simplify]: Simplify 0 into 0 7.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.723 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 7.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 7.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.725 * [backup-simplify]: Simplify (+ 0 0) into 0 7.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow c 2)) 1)) (* (- (/ 1 (pow c 2))) (/ 0 1)))) into 0 7.727 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow c 2)))))) (* 2 1)) into 0 7.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow c 2)) 0) (* 0 1)))) into 0 7.728 * [taylor]: Taking taylor expansion of 0 in a 7.728 * [backup-simplify]: Simplify 0 into 0 7.728 * [taylor]: Taking taylor expansion of 0 in c 7.728 * [backup-simplify]: Simplify 0 into 0 7.728 * [backup-simplify]: Simplify 0 into 0 7.729 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 7.729 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 7.729 * [taylor]: Taking taylor expansion of 0 in c 7.729 * [backup-simplify]: Simplify 0 into 0 7.729 * [backup-simplify]: Simplify 0 into 0 7.729 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 b)))))) into b 7.730 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) into (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) 7.730 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in (b d a c) around 0 7.730 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c 7.730 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 7.730 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 7.730 * [taylor]: Taking taylor expansion of (* b d) in c 7.730 * [taylor]: Taking taylor expansion of b in c 7.730 * [backup-simplify]: Simplify b into b 7.730 * [taylor]: Taking taylor expansion of d in c 7.730 * [backup-simplify]: Simplify d into d 7.730 * [backup-simplify]: Simplify (* b d) into (* b d) 7.730 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 7.730 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 7.730 * [taylor]: Taking taylor expansion of (* a c) in c 7.730 * [taylor]: Taking taylor expansion of a in c 7.730 * [backup-simplify]: Simplify a into a 7.730 * [taylor]: Taking taylor expansion of c in c 7.730 * [backup-simplify]: Simplify 0 into 0 7.731 * [backup-simplify]: Simplify 1 into 1 7.731 * [backup-simplify]: Simplify (* a 0) into 0 7.731 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 7.731 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.731 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 7.731 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 7.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 7.731 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 7.731 * [taylor]: Taking taylor expansion of (pow c 2) in c 7.731 * [taylor]: Taking taylor expansion of c in c 7.731 * [backup-simplify]: Simplify 0 into 0 7.731 * [backup-simplify]: Simplify 1 into 1 7.732 * [backup-simplify]: Simplify (* 1 1) into 1 7.732 * [backup-simplify]: Simplify (/ 1 1) into 1 7.732 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 7.732 * [taylor]: Taking taylor expansion of (pow d 2) in c 7.732 * [taylor]: Taking taylor expansion of d in c 7.732 * [backup-simplify]: Simplify d into d 7.732 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.732 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 7.732 * [backup-simplify]: Simplify (+ 1 0) into 1 7.733 * [backup-simplify]: Simplify (/ 1 1) into 1 7.733 * [backup-simplify]: Simplify (sqrt 1) into 1 7.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.735 * [backup-simplify]: Simplify (+ 0 0) into 0 7.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.736 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a 7.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 7.736 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 7.736 * [taylor]: Taking taylor expansion of (* b d) in a 7.736 * [taylor]: Taking taylor expansion of b in a 7.736 * [backup-simplify]: Simplify b into b 7.736 * [taylor]: Taking taylor expansion of d in a 7.736 * [backup-simplify]: Simplify d into d 7.736 * [backup-simplify]: Simplify (* b d) into (* b d) 7.736 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 7.736 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 7.736 * [taylor]: Taking taylor expansion of (* a c) in a 7.736 * [taylor]: Taking taylor expansion of a in a 7.736 * [backup-simplify]: Simplify 0 into 0 7.736 * [backup-simplify]: Simplify 1 into 1 7.736 * [taylor]: Taking taylor expansion of c in a 7.736 * [backup-simplify]: Simplify c into c 7.736 * [backup-simplify]: Simplify (* 0 c) into 0 7.737 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 7.737 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 7.737 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a 7.737 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 7.737 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 7.737 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 7.737 * [taylor]: Taking taylor expansion of (pow c 2) in a 7.737 * [taylor]: Taking taylor expansion of c in a 7.737 * [backup-simplify]: Simplify c into c 7.737 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.737 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.737 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 7.737 * [taylor]: Taking taylor expansion of (pow d 2) in a 7.737 * [taylor]: Taking taylor expansion of d in a 7.737 * [backup-simplify]: Simplify d into d 7.737 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.737 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 7.738 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 7.738 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 7.738 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 7.738 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 7.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 7.738 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 7.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 7.739 * [backup-simplify]: Simplify (+ 0 0) into 0 7.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 7.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 7.739 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d 7.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 7.739 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 7.739 * [taylor]: Taking taylor expansion of (* b d) in d 7.739 * [taylor]: Taking taylor expansion of b in d 7.739 * [backup-simplify]: Simplify b into b 7.740 * [taylor]: Taking taylor expansion of d in d 7.740 * [backup-simplify]: Simplify 0 into 0 7.740 * [backup-simplify]: Simplify 1 into 1 7.740 * [backup-simplify]: Simplify (* b 0) into 0 7.740 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 7.740 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.740 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 7.740 * [taylor]: Taking taylor expansion of (* a c) in d 7.740 * [taylor]: Taking taylor expansion of a in d 7.740 * [backup-simplify]: Simplify a into a 7.740 * [taylor]: Taking taylor expansion of c in d 7.740 * [backup-simplify]: Simplify c into c 7.740 * [backup-simplify]: Simplify (* a c) into (* a c) 7.740 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 7.740 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d 7.740 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 7.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 7.740 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 7.740 * [taylor]: Taking taylor expansion of (pow c 2) in d 7.740 * [taylor]: Taking taylor expansion of c in d 7.740 * [backup-simplify]: Simplify c into c 7.741 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.741 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.741 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 7.741 * [taylor]: Taking taylor expansion of (pow d 2) in d 7.741 * [taylor]: Taking taylor expansion of d in d 7.741 * [backup-simplify]: Simplify 0 into 0 7.741 * [backup-simplify]: Simplify 1 into 1 7.741 * [backup-simplify]: Simplify (* 1 1) into 1 7.741 * [backup-simplify]: Simplify (/ 1 1) into 1 7.742 * [backup-simplify]: Simplify (+ 0 1) into 1 7.742 * [backup-simplify]: Simplify (/ 1 1) into 1 7.742 * [backup-simplify]: Simplify (sqrt 1) into 1 7.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.744 * [backup-simplify]: Simplify (+ 0 0) into 0 7.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.745 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b 7.745 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 7.745 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 7.745 * [taylor]: Taking taylor expansion of (* b d) in b 7.745 * [taylor]: Taking taylor expansion of b in b 7.745 * [backup-simplify]: Simplify 0 into 0 7.745 * [backup-simplify]: Simplify 1 into 1 7.746 * [taylor]: Taking taylor expansion of d in b 7.746 * [backup-simplify]: Simplify d into d 7.746 * [backup-simplify]: Simplify (* 0 d) into 0 7.746 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 7.746 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 7.746 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 7.746 * [taylor]: Taking taylor expansion of (* a c) in b 7.746 * [taylor]: Taking taylor expansion of a in b 7.746 * [backup-simplify]: Simplify a into a 7.746 * [taylor]: Taking taylor expansion of c in b 7.746 * [backup-simplify]: Simplify c into c 7.746 * [backup-simplify]: Simplify (* a c) into (* a c) 7.746 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 7.746 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b 7.746 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 7.746 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 7.746 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 7.746 * [taylor]: Taking taylor expansion of (pow c 2) in b 7.746 * [taylor]: Taking taylor expansion of c in b 7.746 * [backup-simplify]: Simplify c into c 7.747 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.747 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.747 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 7.747 * [taylor]: Taking taylor expansion of (pow d 2) in b 7.747 * [taylor]: Taking taylor expansion of d in b 7.747 * [backup-simplify]: Simplify d into d 7.747 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.747 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 7.747 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 7.747 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 7.747 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 7.747 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 7.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 7.748 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 7.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 7.748 * [backup-simplify]: Simplify (+ 0 0) into 0 7.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 7.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 7.749 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b 7.749 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 7.749 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 7.749 * [taylor]: Taking taylor expansion of (* b d) in b 7.749 * [taylor]: Taking taylor expansion of b in b 7.749 * [backup-simplify]: Simplify 0 into 0 7.749 * [backup-simplify]: Simplify 1 into 1 7.749 * [taylor]: Taking taylor expansion of d in b 7.749 * [backup-simplify]: Simplify d into d 7.749 * [backup-simplify]: Simplify (* 0 d) into 0 7.749 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 7.750 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 7.750 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 7.750 * [taylor]: Taking taylor expansion of (* a c) in b 7.750 * [taylor]: Taking taylor expansion of a in b 7.750 * [backup-simplify]: Simplify a into a 7.750 * [taylor]: Taking taylor expansion of c in b 7.750 * [backup-simplify]: Simplify c into c 7.750 * [backup-simplify]: Simplify (* a c) into (* a c) 7.750 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 7.750 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b 7.750 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 7.750 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 7.750 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 7.750 * [taylor]: Taking taylor expansion of (pow c 2) in b 7.750 * [taylor]: Taking taylor expansion of c in b 7.750 * [backup-simplify]: Simplify c into c 7.750 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.750 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.750 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 7.750 * [taylor]: Taking taylor expansion of (pow d 2) in b 7.750 * [taylor]: Taking taylor expansion of d in b 7.750 * [backup-simplify]: Simplify d into d 7.750 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.750 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 7.750 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 7.751 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 7.751 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 7.751 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 7.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 7.751 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 7.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 7.751 * [backup-simplify]: Simplify (+ 0 0) into 0 7.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 7.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 7.752 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 7.752 * [backup-simplify]: Simplify (* (/ 1 d) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) 7.752 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) in d 7.752 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d 7.752 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 7.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 7.752 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 7.752 * [taylor]: Taking taylor expansion of (pow c 2) in d 7.752 * [taylor]: Taking taylor expansion of c in d 7.752 * [backup-simplify]: Simplify c into c 7.752 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.752 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.752 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 7.752 * [taylor]: Taking taylor expansion of (pow d 2) in d 7.752 * [taylor]: Taking taylor expansion of d in d 7.752 * [backup-simplify]: Simplify 0 into 0 7.752 * [backup-simplify]: Simplify 1 into 1 7.752 * [backup-simplify]: Simplify (* 1 1) into 1 7.753 * [backup-simplify]: Simplify (/ 1 1) into 1 7.753 * [backup-simplify]: Simplify (+ 0 1) into 1 7.753 * [backup-simplify]: Simplify (/ 1 1) into 1 7.753 * [backup-simplify]: Simplify (sqrt 1) into 1 7.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.754 * [backup-simplify]: Simplify (+ 0 0) into 0 7.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.755 * [taylor]: Taking taylor expansion of (/ 1 d) in d 7.755 * [taylor]: Taking taylor expansion of d in d 7.755 * [backup-simplify]: Simplify 0 into 0 7.755 * [backup-simplify]: Simplify 1 into 1 7.756 * [backup-simplify]: Simplify (/ 1 1) into 1 7.756 * [backup-simplify]: Simplify (* 1 1) into 1 7.756 * [taylor]: Taking taylor expansion of 1 in a 7.756 * [backup-simplify]: Simplify 1 into 1 7.756 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 7.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 7.757 * [backup-simplify]: Simplify (+ 0 (/ 1 (* a c))) into (/ 1 (* a c)) 7.757 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) 7.757 * [taylor]: Taking taylor expansion of (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d 7.757 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 7.757 * [taylor]: Taking taylor expansion of (* a c) in d 7.757 * [taylor]: Taking taylor expansion of a in d 7.757 * [backup-simplify]: Simplify a into a 7.757 * [taylor]: Taking taylor expansion of c in d 7.757 * [backup-simplify]: Simplify c into c 7.757 * [backup-simplify]: Simplify (* a c) into (* a c) 7.757 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 7.757 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d 7.757 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 7.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 7.757 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 7.757 * [taylor]: Taking taylor expansion of (pow c 2) in d 7.757 * [taylor]: Taking taylor expansion of c in d 7.757 * [backup-simplify]: Simplify c into c 7.757 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.757 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.757 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 7.757 * [taylor]: Taking taylor expansion of (pow d 2) in d 7.757 * [taylor]: Taking taylor expansion of d in d 7.757 * [backup-simplify]: Simplify 0 into 0 7.757 * [backup-simplify]: Simplify 1 into 1 7.757 * [backup-simplify]: Simplify (* 1 1) into 1 7.758 * [backup-simplify]: Simplify (/ 1 1) into 1 7.758 * [backup-simplify]: Simplify (+ 0 1) into 1 7.758 * [backup-simplify]: Simplify (/ 1 1) into 1 7.758 * [backup-simplify]: Simplify (sqrt 1) into 1 7.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.759 * [backup-simplify]: Simplify (+ 0 0) into 0 7.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.761 * [taylor]: Taking taylor expansion of 0 in a 7.761 * [backup-simplify]: Simplify 0 into 0 7.761 * [taylor]: Taking taylor expansion of 1 in c 7.761 * [backup-simplify]: Simplify 1 into 1 7.761 * [backup-simplify]: Simplify 1 into 1 7.762 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 7.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 7.762 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 7.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 7.762 * [backup-simplify]: Simplify (+ 0 0) into 0 7.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 7.763 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 7.767 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 7.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 7.768 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0 7.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0 7.768 * [backup-simplify]: Simplify (+ 0 0) into 0 7.769 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (+ (* (/ 1 (* a c)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 7.769 * [taylor]: Taking taylor expansion of 0 in d 7.769 * [backup-simplify]: Simplify 0 into 0 7.769 * [taylor]: Taking taylor expansion of 0 in a 7.769 * [backup-simplify]: Simplify 0 into 0 7.769 * [backup-simplify]: Simplify (* (/ 1 (* a c)) 1) into (/ 1 (* a c)) 7.769 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 7.769 * [taylor]: Taking taylor expansion of (* a c) in a 7.769 * [taylor]: Taking taylor expansion of a in a 7.769 * [backup-simplify]: Simplify 0 into 0 7.769 * [backup-simplify]: Simplify 1 into 1 7.769 * [taylor]: Taking taylor expansion of c in a 7.769 * [backup-simplify]: Simplify c into c 7.769 * [backup-simplify]: Simplify (* 0 c) into 0 7.770 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 7.770 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 7.770 * [taylor]: Taking taylor expansion of (/ 1 c) in c 7.770 * [taylor]: Taking taylor expansion of c in c 7.770 * [backup-simplify]: Simplify 0 into 0 7.770 * [backup-simplify]: Simplify 1 into 1 7.770 * [backup-simplify]: Simplify (/ 1 1) into 1 7.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.771 * [backup-simplify]: Simplify 0 into 0 7.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.773 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) 0) into (/ 1 (pow c 2)) 7.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow c 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow c 2))) 7.775 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow c 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow c 2)) 7.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow c 2)) 1))) into (- (* 1/2 (/ 1 (pow c 2)))) 7.776 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow c 2)))) in a 7.776 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow c 2))) in a 7.776 * [taylor]: Taking taylor expansion of 1/2 in a 7.776 * [backup-simplify]: Simplify 1/2 into 1/2 7.776 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 7.776 * [taylor]: Taking taylor expansion of (pow c 2) in a 7.776 * [taylor]: Taking taylor expansion of c in a 7.776 * [backup-simplify]: Simplify c into c 7.776 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.776 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.776 * [taylor]: Taking taylor expansion of 0 in c 7.776 * [backup-simplify]: Simplify 0 into 0 7.776 * [backup-simplify]: Simplify 0 into 0 7.776 * [taylor]: Taking taylor expansion of 0 in c 7.776 * [backup-simplify]: Simplify 0 into 0 7.776 * [backup-simplify]: Simplify 0 into 0 7.776 * [backup-simplify]: Simplify 0 into 0 7.777 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 7.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 7.778 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 7.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 7.778 * [backup-simplify]: Simplify (+ 0 0) into 0 7.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 7.779 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 7.780 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 d))))) into 0 7.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 7.780 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0 7.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0 7.781 * [backup-simplify]: Simplify (+ 0 0) into 0 7.781 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (+ (* (/ 1 (* a c)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))))) into 0 7.781 * [taylor]: Taking taylor expansion of 0 in d 7.781 * [backup-simplify]: Simplify 0 into 0 7.781 * [taylor]: Taking taylor expansion of 0 in a 7.781 * [backup-simplify]: Simplify 0 into 0 7.781 * [taylor]: Taking taylor expansion of 0 in a 7.781 * [backup-simplify]: Simplify 0 into 0 7.781 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0 7.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0 7.782 * [backup-simplify]: Simplify (+ (* (/ 1 (* a c)) 0) (* 0 1)) into 0 7.782 * [taylor]: Taking taylor expansion of 0 in a 7.782 * [backup-simplify]: Simplify 0 into 0 7.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.782 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 7.783 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 7.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.784 * [backup-simplify]: Simplify (+ 0 0) into 0 7.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow c 2)) 1)) (* (- (/ 1 (pow c 2))) (/ 0 1)))) into 0 7.785 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow c 2)))))) (* 2 1)) into 0 7.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow c 2)) 0) (* 0 1)))) into 0 7.786 * [taylor]: Taking taylor expansion of 0 in a 7.786 * [backup-simplify]: Simplify 0 into 0 7.786 * [taylor]: Taking taylor expansion of 0 in c 7.786 * [backup-simplify]: Simplify 0 into 0 7.786 * [backup-simplify]: Simplify 0 into 0 7.787 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 7.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 7.787 * [taylor]: Taking taylor expansion of 0 in c 7.787 * [backup-simplify]: Simplify 0 into 0 7.787 * [backup-simplify]: Simplify 0 into 0 7.787 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- b))))))) into (* -1 b) 7.787 * * * * [progress]: [ 4 / 4 ] generating series at (2) 7.787 * [backup-simplify]: Simplify (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) into (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) 7.787 * [approximate]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in (b d a c) around 0 7.787 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in c 7.787 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c 7.787 * [taylor]: Taking taylor expansion of (* a c) in c 7.787 * [taylor]: Taking taylor expansion of a in c 7.787 * [backup-simplify]: Simplify a into a 7.787 * [taylor]: Taking taylor expansion of c in c 7.787 * [backup-simplify]: Simplify 0 into 0 7.787 * [backup-simplify]: Simplify 1 into 1 7.787 * [taylor]: Taking taylor expansion of (* b d) in c 7.787 * [taylor]: Taking taylor expansion of b in c 7.787 * [backup-simplify]: Simplify b into b 7.787 * [taylor]: Taking taylor expansion of d in c 7.787 * [backup-simplify]: Simplify d into d 7.788 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 7.788 * [taylor]: Taking taylor expansion of (pow c 2) in c 7.788 * [taylor]: Taking taylor expansion of c in c 7.788 * [backup-simplify]: Simplify 0 into 0 7.788 * [backup-simplify]: Simplify 1 into 1 7.788 * [taylor]: Taking taylor expansion of (pow d 2) in c 7.788 * [taylor]: Taking taylor expansion of d in c 7.788 * [backup-simplify]: Simplify d into d 7.788 * [backup-simplify]: Simplify (* a 0) into 0 7.788 * [backup-simplify]: Simplify (* b d) into (* b d) 7.788 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 7.788 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.788 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 7.788 * [backup-simplify]: Simplify (/ (* b d) (pow d 2)) into (/ b d) 7.788 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in a 7.788 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 7.788 * [taylor]: Taking taylor expansion of (* a c) in a 7.788 * [taylor]: Taking taylor expansion of a in a 7.788 * [backup-simplify]: Simplify 0 into 0 7.788 * [backup-simplify]: Simplify 1 into 1 7.788 * [taylor]: Taking taylor expansion of c in a 7.788 * [backup-simplify]: Simplify c into c 7.788 * [taylor]: Taking taylor expansion of (* b d) in a 7.788 * [taylor]: Taking taylor expansion of b in a 7.788 * [backup-simplify]: Simplify b into b 7.788 * [taylor]: Taking taylor expansion of d in a 7.788 * [backup-simplify]: Simplify d into d 7.788 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a 7.788 * [taylor]: Taking taylor expansion of (pow c 2) in a 7.788 * [taylor]: Taking taylor expansion of c in a 7.788 * [backup-simplify]: Simplify c into c 7.788 * [taylor]: Taking taylor expansion of (pow d 2) in a 7.788 * [taylor]: Taking taylor expansion of d in a 7.788 * [backup-simplify]: Simplify d into d 7.788 * [backup-simplify]: Simplify (* 0 c) into 0 7.788 * [backup-simplify]: Simplify (* b d) into (* b d) 7.788 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 7.788 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.788 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.788 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 7.789 * [backup-simplify]: Simplify (/ (* b d) (+ (pow c 2) (pow d 2))) into (/ (* b d) (+ (pow c 2) (pow d 2))) 7.789 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in d 7.789 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d 7.789 * [taylor]: Taking taylor expansion of (* a c) in d 7.789 * [taylor]: Taking taylor expansion of a in d 7.789 * [backup-simplify]: Simplify a into a 7.789 * [taylor]: Taking taylor expansion of c in d 7.789 * [backup-simplify]: Simplify c into c 7.789 * [taylor]: Taking taylor expansion of (* b d) in d 7.789 * [taylor]: Taking taylor expansion of b in d 7.789 * [backup-simplify]: Simplify b into b 7.789 * [taylor]: Taking taylor expansion of d in d 7.789 * [backup-simplify]: Simplify 0 into 0 7.789 * [backup-simplify]: Simplify 1 into 1 7.789 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 7.789 * [taylor]: Taking taylor expansion of (pow c 2) in d 7.789 * [taylor]: Taking taylor expansion of c in d 7.789 * [backup-simplify]: Simplify c into c 7.789 * [taylor]: Taking taylor expansion of (pow d 2) in d 7.789 * [taylor]: Taking taylor expansion of d in d 7.789 * [backup-simplify]: Simplify 0 into 0 7.789 * [backup-simplify]: Simplify 1 into 1 7.789 * [backup-simplify]: Simplify (* a c) into (* a c) 7.789 * [backup-simplify]: Simplify (* b 0) into 0 7.789 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c) 7.789 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.789 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 7.789 * [backup-simplify]: Simplify (/ (* a c) (pow c 2)) into (/ a c) 7.789 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in b 7.789 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b 7.789 * [taylor]: Taking taylor expansion of (* a c) in b 7.789 * [taylor]: Taking taylor expansion of a in b 7.789 * [backup-simplify]: Simplify a into a 7.789 * [taylor]: Taking taylor expansion of c in b 7.789 * [backup-simplify]: Simplify c into c 7.789 * [taylor]: Taking taylor expansion of (* b d) in b 7.789 * [taylor]: Taking taylor expansion of b in b 7.789 * [backup-simplify]: Simplify 0 into 0 7.789 * [backup-simplify]: Simplify 1 into 1 7.789 * [taylor]: Taking taylor expansion of d in b 7.789 * [backup-simplify]: Simplify d into d 7.789 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b 7.789 * [taylor]: Taking taylor expansion of (pow c 2) in b 7.789 * [taylor]: Taking taylor expansion of c in b 7.789 * [backup-simplify]: Simplify c into c 7.789 * [taylor]: Taking taylor expansion of (pow d 2) in b 7.789 * [taylor]: Taking taylor expansion of d in b 7.790 * [backup-simplify]: Simplify d into d 7.790 * [backup-simplify]: Simplify (* a c) into (* a c) 7.790 * [backup-simplify]: Simplify (* 0 d) into 0 7.790 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c) 7.790 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.790 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.790 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 7.790 * [backup-simplify]: Simplify (/ (* a c) (+ (pow c 2) (pow d 2))) into (/ (* a c) (+ (pow c 2) (pow d 2))) 7.790 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in b 7.790 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b 7.790 * [taylor]: Taking taylor expansion of (* a c) in b 7.790 * [taylor]: Taking taylor expansion of a in b 7.790 * [backup-simplify]: Simplify a into a 7.790 * [taylor]: Taking taylor expansion of c in b 7.790 * [backup-simplify]: Simplify c into c 7.790 * [taylor]: Taking taylor expansion of (* b d) in b 7.790 * [taylor]: Taking taylor expansion of b in b 7.790 * [backup-simplify]: Simplify 0 into 0 7.790 * [backup-simplify]: Simplify 1 into 1 7.790 * [taylor]: Taking taylor expansion of d in b 7.790 * [backup-simplify]: Simplify d into d 7.790 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b 7.790 * [taylor]: Taking taylor expansion of (pow c 2) in b 7.790 * [taylor]: Taking taylor expansion of c in b 7.790 * [backup-simplify]: Simplify c into c 7.790 * [taylor]: Taking taylor expansion of (pow d 2) in b 7.790 * [taylor]: Taking taylor expansion of d in b 7.790 * [backup-simplify]: Simplify d into d 7.790 * [backup-simplify]: Simplify (* a c) into (* a c) 7.790 * [backup-simplify]: Simplify (* 0 d) into 0 7.790 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c) 7.790 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.790 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.790 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 7.791 * [backup-simplify]: Simplify (/ (* a c) (+ (pow c 2) (pow d 2))) into (/ (* a c) (+ (pow c 2) (pow d 2))) 7.791 * [taylor]: Taking taylor expansion of (/ (* a c) (+ (pow c 2) (pow d 2))) in d 7.791 * [taylor]: Taking taylor expansion of (* a c) in d 7.791 * [taylor]: Taking taylor expansion of a in d 7.791 * [backup-simplify]: Simplify a into a 7.791 * [taylor]: Taking taylor expansion of c in d 7.791 * [backup-simplify]: Simplify c into c 7.791 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 7.791 * [taylor]: Taking taylor expansion of (pow c 2) in d 7.791 * [taylor]: Taking taylor expansion of c in d 7.791 * [backup-simplify]: Simplify c into c 7.791 * [taylor]: Taking taylor expansion of (pow d 2) in d 7.791 * [taylor]: Taking taylor expansion of d in d 7.791 * [backup-simplify]: Simplify 0 into 0 7.791 * [backup-simplify]: Simplify 1 into 1 7.791 * [backup-simplify]: Simplify (* a c) into (* a c) 7.791 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.791 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 7.791 * [backup-simplify]: Simplify (/ (* a c) (pow c 2)) into (/ a c) 7.791 * [taylor]: Taking taylor expansion of (/ a c) in a 7.791 * [taylor]: Taking taylor expansion of a in a 7.791 * [backup-simplify]: Simplify 0 into 0 7.791 * [backup-simplify]: Simplify 1 into 1 7.792 * [taylor]: Taking taylor expansion of c in a 7.792 * [backup-simplify]: Simplify c into c 7.792 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 7.792 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0 7.792 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 7.792 * [backup-simplify]: Simplify (+ 0 d) into d 7.792 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 7.792 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 7.793 * [backup-simplify]: Simplify (+ 0 0) into 0 7.793 * [backup-simplify]: Simplify (- (/ d (+ (pow c 2) (pow d 2))) (+ (* (/ (* a c) (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into (/ d (+ (pow c 2) (pow d 2))) 7.793 * [taylor]: Taking taylor expansion of (/ d (+ (pow c 2) (pow d 2))) in d 7.793 * [taylor]: Taking taylor expansion of d in d 7.793 * [backup-simplify]: Simplify 0 into 0 7.793 * [backup-simplify]: Simplify 1 into 1 7.793 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 7.793 * [taylor]: Taking taylor expansion of (pow c 2) in d 7.793 * [taylor]: Taking taylor expansion of c in d 7.793 * [backup-simplify]: Simplify c into c 7.793 * [taylor]: Taking taylor expansion of (pow d 2) in d 7.793 * [taylor]: Taking taylor expansion of d in d 7.793 * [backup-simplify]: Simplify 0 into 0 7.793 * [backup-simplify]: Simplify 1 into 1 7.794 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.794 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 7.794 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.794 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0 7.794 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 7.794 * [backup-simplify]: Simplify (+ 0 0) into 0 7.794 * [backup-simplify]: Simplify (- (/ 0 (pow c 2)) (+ (* (/ a c) (/ 0 (pow c 2))))) into 0 7.794 * [taylor]: Taking taylor expansion of 0 in a 7.795 * [backup-simplify]: Simplify 0 into 0 7.795 * [taylor]: Taking taylor expansion of 0 in c 7.795 * [backup-simplify]: Simplify 0 into 0 7.795 * [backup-simplify]: Simplify 0 into 0 7.795 * [taylor]: Taking taylor expansion of (/ 1 c) in c 7.795 * [taylor]: Taking taylor expansion of c in c 7.795 * [backup-simplify]: Simplify 0 into 0 7.795 * [backup-simplify]: Simplify 1 into 1 7.795 * [backup-simplify]: Simplify (/ 1 1) into 1 7.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.796 * [backup-simplify]: Simplify 0 into 0 7.796 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0 7.797 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 7.797 * [backup-simplify]: Simplify (+ 0 0) into 0 7.798 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 7.798 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 7.798 * [backup-simplify]: Simplify (+ 0 0) into 0 7.799 * [backup-simplify]: Simplify (- (/ 0 (+ (pow c 2) (pow d 2))) (+ (* (/ (* a c) (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))) (* (/ d (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 7.799 * [taylor]: Taking taylor expansion of 0 in d 7.799 * [backup-simplify]: Simplify 0 into 0 7.799 * [taylor]: Taking taylor expansion of 0 in a 7.799 * [backup-simplify]: Simplify 0 into 0 7.799 * [taylor]: Taking taylor expansion of 0 in c 7.799 * [backup-simplify]: Simplify 0 into 0 7.799 * [backup-simplify]: Simplify 0 into 0 7.799 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 7.799 * [taylor]: Taking taylor expansion of (pow c 2) in a 7.799 * [taylor]: Taking taylor expansion of c in a 7.799 * [backup-simplify]: Simplify c into c 7.799 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.800 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.800 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 7.800 * [taylor]: Taking taylor expansion of (pow c 2) in c 7.800 * [taylor]: Taking taylor expansion of c in c 7.800 * [backup-simplify]: Simplify 0 into 0 7.800 * [backup-simplify]: Simplify 1 into 1 7.800 * [backup-simplify]: Simplify (* 1 1) into 1 7.800 * [backup-simplify]: Simplify (/ 1 1) into 1 7.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.803 * [backup-simplify]: Simplify 0 into 0 7.803 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0 7.804 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 7.804 * [backup-simplify]: Simplify (* 1 1) into 1 7.804 * [backup-simplify]: Simplify (+ 0 1) into 1 7.805 * [backup-simplify]: Simplify (- (/ 0 (pow c 2)) (+ (* (/ a c) (/ 1 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into (- (/ a (pow c 3))) 7.805 * [taylor]: Taking taylor expansion of (- (/ a (pow c 3))) in a 7.805 * [taylor]: Taking taylor expansion of (/ a (pow c 3)) in a 7.805 * [taylor]: Taking taylor expansion of a in a 7.805 * [backup-simplify]: Simplify 0 into 0 7.805 * [backup-simplify]: Simplify 1 into 1 7.805 * [taylor]: Taking taylor expansion of (pow c 3) in a 7.805 * [taylor]: Taking taylor expansion of c in a 7.805 * [backup-simplify]: Simplify c into c 7.805 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.805 * [backup-simplify]: Simplify (* c (pow c 2)) into (pow c 3) 7.805 * [backup-simplify]: Simplify (/ 1 (pow c 3)) into (/ 1 (pow c 3)) 7.805 * [taylor]: Taking taylor expansion of 0 in c 7.805 * [backup-simplify]: Simplify 0 into 0 7.805 * [backup-simplify]: Simplify 0 into 0 7.805 * [backup-simplify]: Simplify (- (/ 0 c) (+ (* (/ 1 c) (/ 0 c)))) into 0 7.806 * [taylor]: Taking taylor expansion of 0 in c 7.806 * [backup-simplify]: Simplify 0 into 0 7.806 * [backup-simplify]: Simplify 0 into 0 7.806 * [backup-simplify]: Simplify 0 into 0 7.806 * [backup-simplify]: Simplify (/ (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) into (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 7.806 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (b d a c) around 0 7.806 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 7.806 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 7.806 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 7.806 * [taylor]: Taking taylor expansion of (* b d) in c 7.806 * [taylor]: Taking taylor expansion of b in c 7.806 * [backup-simplify]: Simplify b into b 7.806 * [taylor]: Taking taylor expansion of d in c 7.806 * [backup-simplify]: Simplify d into d 7.807 * [backup-simplify]: Simplify (* b d) into (* b d) 7.807 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 7.807 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 7.807 * [taylor]: Taking taylor expansion of (* a c) in c 7.807 * [taylor]: Taking taylor expansion of a in c 7.807 * [backup-simplify]: Simplify a into a 7.807 * [taylor]: Taking taylor expansion of c in c 7.807 * [backup-simplify]: Simplify 0 into 0 7.807 * [backup-simplify]: Simplify 1 into 1 7.807 * [backup-simplify]: Simplify (* a 0) into 0 7.807 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 7.807 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 7.807 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 7.807 * [taylor]: Taking taylor expansion of (pow c 2) in c 7.807 * [taylor]: Taking taylor expansion of c in c 7.807 * [backup-simplify]: Simplify 0 into 0 7.807 * [backup-simplify]: Simplify 1 into 1 7.808 * [backup-simplify]: Simplify (* 1 1) into 1 7.808 * [backup-simplify]: Simplify (/ 1 1) into 1 7.808 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 7.808 * [taylor]: Taking taylor expansion of (pow d 2) in c 7.808 * [taylor]: Taking taylor expansion of d in c 7.808 * [backup-simplify]: Simplify d into d 7.808 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.808 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 7.808 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 7.809 * [backup-simplify]: Simplify (+ 1 0) into 1 7.809 * [backup-simplify]: Simplify (/ (/ 1 a) 1) into (/ 1 a) 7.809 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 7.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 7.809 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 7.809 * [taylor]: Taking taylor expansion of (* b d) in a 7.809 * [taylor]: Taking taylor expansion of b in a 7.809 * [backup-simplify]: Simplify b into b 7.809 * [taylor]: Taking taylor expansion of d in a 7.809 * [backup-simplify]: Simplify d into d 7.809 * [backup-simplify]: Simplify (* b d) into (* b d) 7.809 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 7.809 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 7.809 * [taylor]: Taking taylor expansion of (* a c) in a 7.809 * [taylor]: Taking taylor expansion of a in a 7.809 * [backup-simplify]: Simplify 0 into 0 7.809 * [backup-simplify]: Simplify 1 into 1 7.809 * [taylor]: Taking taylor expansion of c in a 7.809 * [backup-simplify]: Simplify c into c 7.809 * [backup-simplify]: Simplify (* 0 c) into 0 7.810 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 7.810 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 7.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 7.810 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 7.810 * [taylor]: Taking taylor expansion of (pow c 2) in a 7.810 * [taylor]: Taking taylor expansion of c in a 7.810 * [backup-simplify]: Simplify c into c 7.810 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.810 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.810 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 7.810 * [taylor]: Taking taylor expansion of (pow d 2) in a 7.810 * [taylor]: Taking taylor expansion of d in a 7.810 * [backup-simplify]: Simplify d into d 7.810 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.810 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 7.811 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 7.811 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 7.811 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) 7.811 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 7.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 7.811 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 7.811 * [taylor]: Taking taylor expansion of (* b d) in d 7.811 * [taylor]: Taking taylor expansion of b in d 7.811 * [backup-simplify]: Simplify b into b 7.811 * [taylor]: Taking taylor expansion of d in d 7.811 * [backup-simplify]: Simplify 0 into 0 7.811 * [backup-simplify]: Simplify 1 into 1 7.811 * [backup-simplify]: Simplify (* b 0) into 0 7.812 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 7.812 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.812 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 7.812 * [taylor]: Taking taylor expansion of (* a c) in d 7.812 * [taylor]: Taking taylor expansion of a in d 7.812 * [backup-simplify]: Simplify a into a 7.812 * [taylor]: Taking taylor expansion of c in d 7.812 * [backup-simplify]: Simplify c into c 7.812 * [backup-simplify]: Simplify (* a c) into (* a c) 7.812 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 7.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 7.812 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 7.812 * [taylor]: Taking taylor expansion of (pow c 2) in d 7.812 * [taylor]: Taking taylor expansion of c in d 7.812 * [backup-simplify]: Simplify c into c 7.812 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.812 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.812 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 7.812 * [taylor]: Taking taylor expansion of (pow d 2) in d 7.812 * [taylor]: Taking taylor expansion of d in d 7.812 * [backup-simplify]: Simplify 0 into 0 7.812 * [backup-simplify]: Simplify 1 into 1 7.813 * [backup-simplify]: Simplify (* 1 1) into 1 7.813 * [backup-simplify]: Simplify (/ 1 1) into 1 7.813 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 7.814 * [backup-simplify]: Simplify (+ 0 1) into 1 7.814 * [backup-simplify]: Simplify (/ (/ 1 b) 1) into (/ 1 b) 7.814 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 7.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 7.814 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 7.814 * [taylor]: Taking taylor expansion of (* b d) in b 7.814 * [taylor]: Taking taylor expansion of b in b 7.814 * [backup-simplify]: Simplify 0 into 0 7.814 * [backup-simplify]: Simplify 1 into 1 7.814 * [taylor]: Taking taylor expansion of d in b 7.814 * [backup-simplify]: Simplify d into d 7.814 * [backup-simplify]: Simplify (* 0 d) into 0 7.814 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 7.814 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 7.814 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 7.814 * [taylor]: Taking taylor expansion of (* a c) in b 7.814 * [taylor]: Taking taylor expansion of a in b 7.814 * [backup-simplify]: Simplify a into a 7.814 * [taylor]: Taking taylor expansion of c in b 7.814 * [backup-simplify]: Simplify c into c 7.815 * [backup-simplify]: Simplify (* a c) into (* a c) 7.815 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 7.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 7.815 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 7.815 * [taylor]: Taking taylor expansion of (pow c 2) in b 7.815 * [taylor]: Taking taylor expansion of c in b 7.815 * [backup-simplify]: Simplify c into c 7.815 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.815 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.815 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 7.815 * [taylor]: Taking taylor expansion of (pow d 2) in b 7.815 * [taylor]: Taking taylor expansion of d in b 7.815 * [backup-simplify]: Simplify d into d 7.815 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.815 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 7.815 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 7.815 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 7.816 * [backup-simplify]: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) 7.816 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 7.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 7.816 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 7.816 * [taylor]: Taking taylor expansion of (* b d) in b 7.816 * [taylor]: Taking taylor expansion of b in b 7.816 * [backup-simplify]: Simplify 0 into 0 7.816 * [backup-simplify]: Simplify 1 into 1 7.816 * [taylor]: Taking taylor expansion of d in b 7.816 * [backup-simplify]: Simplify d into d 7.816 * [backup-simplify]: Simplify (* 0 d) into 0 7.816 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 7.816 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 7.816 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 7.816 * [taylor]: Taking taylor expansion of (* a c) in b 7.816 * [taylor]: Taking taylor expansion of a in b 7.816 * [backup-simplify]: Simplify a into a 7.816 * [taylor]: Taking taylor expansion of c in b 7.816 * [backup-simplify]: Simplify c into c 7.817 * [backup-simplify]: Simplify (* a c) into (* a c) 7.817 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 7.817 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 7.817 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 7.817 * [taylor]: Taking taylor expansion of (pow c 2) in b 7.817 * [taylor]: Taking taylor expansion of c in b 7.817 * [backup-simplify]: Simplify c into c 7.817 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.817 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.817 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 7.817 * [taylor]: Taking taylor expansion of (pow d 2) in b 7.817 * [taylor]: Taking taylor expansion of d in b 7.817 * [backup-simplify]: Simplify d into d 7.817 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.817 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 7.817 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 7.817 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 7.818 * [backup-simplify]: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) 7.818 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in d 7.818 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in d 7.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 7.818 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 7.818 * [taylor]: Taking taylor expansion of (pow c 2) in d 7.818 * [taylor]: Taking taylor expansion of c in d 7.818 * [backup-simplify]: Simplify c into c 7.818 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.818 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.818 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 7.818 * [taylor]: Taking taylor expansion of (pow d 2) in d 7.818 * [taylor]: Taking taylor expansion of d in d 7.818 * [backup-simplify]: Simplify 0 into 0 7.818 * [backup-simplify]: Simplify 1 into 1 7.818 * [backup-simplify]: Simplify (* 1 1) into 1 7.819 * [backup-simplify]: Simplify (/ 1 1) into 1 7.819 * [taylor]: Taking taylor expansion of d in d 7.819 * [backup-simplify]: Simplify 0 into 0 7.819 * [backup-simplify]: Simplify 1 into 1 7.819 * [backup-simplify]: Simplify (+ 0 1) into 1 7.820 * [backup-simplify]: Simplify (* 1 0) into 0 7.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.821 * [backup-simplify]: Simplify (+ 0 0) into 0 7.822 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 7.822 * [backup-simplify]: Simplify (/ 1 1) into 1 7.822 * [taylor]: Taking taylor expansion of 1 in a 7.822 * [backup-simplify]: Simplify 1 into 1 7.823 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 7.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 7.823 * [backup-simplify]: Simplify (+ 0 (/ 1 (* a c))) into (/ 1 (* a c)) 7.823 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 7.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 7.824 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 7.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 7.824 * [backup-simplify]: Simplify (+ 0 0) into 0 7.825 * [backup-simplify]: Simplify (- (/ (/ 1 (* a c)) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) 7.825 * [taylor]: Taking taylor expansion of (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d 7.825 * [taylor]: Taking taylor expansion of (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d 7.825 * [taylor]: Taking taylor expansion of a in d 7.825 * [backup-simplify]: Simplify a into a 7.825 * [taylor]: Taking taylor expansion of (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 7.825 * [taylor]: Taking taylor expansion of c in d 7.825 * [backup-simplify]: Simplify c into c 7.825 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 7.825 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 7.825 * [taylor]: Taking taylor expansion of (pow c 2) in d 7.825 * [taylor]: Taking taylor expansion of c in d 7.825 * [backup-simplify]: Simplify c into c 7.825 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.825 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.825 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 7.825 * [taylor]: Taking taylor expansion of (pow d 2) in d 7.825 * [taylor]: Taking taylor expansion of d in d 7.825 * [backup-simplify]: Simplify 0 into 0 7.826 * [backup-simplify]: Simplify 1 into 1 7.826 * [backup-simplify]: Simplify (* 1 1) into 1 7.826 * [backup-simplify]: Simplify (/ 1 1) into 1 7.827 * [backup-simplify]: Simplify (+ 0 1) into 1 7.827 * [backup-simplify]: Simplify (* c 1) into c 7.827 * [backup-simplify]: Simplify (* a c) into (* a c) 7.827 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 7.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.829 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) 0) into (/ 1 (pow c 2)) 7.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow c 2)) 0))) into 0 7.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.830 * [taylor]: Taking taylor expansion of 0 in a 7.830 * [backup-simplify]: Simplify 0 into 0 7.830 * [taylor]: Taking taylor expansion of 1 in c 7.830 * [backup-simplify]: Simplify 1 into 1 7.830 * [backup-simplify]: Simplify 0 into 0 7.831 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 7.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 7.832 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0 7.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0 7.832 * [backup-simplify]: Simplify (+ 0 0) into 0 7.833 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 7.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 7.833 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 7.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 7.834 * [backup-simplify]: Simplify (+ 0 0) into 0 7.835 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 7.835 * [taylor]: Taking taylor expansion of 0 in d 7.835 * [backup-simplify]: Simplify 0 into 0 7.835 * [taylor]: Taking taylor expansion of 0 in a 7.835 * [backup-simplify]: Simplify 0 into 0 7.835 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 7.835 * [taylor]: Taking taylor expansion of (* a c) in a 7.835 * [taylor]: Taking taylor expansion of a in a 7.835 * [backup-simplify]: Simplify 0 into 0 7.835 * [backup-simplify]: Simplify 1 into 1 7.835 * [taylor]: Taking taylor expansion of c in a 7.835 * [backup-simplify]: Simplify c into c 7.835 * [backup-simplify]: Simplify (* 0 c) into 0 7.836 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 7.836 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 7.836 * [taylor]: Taking taylor expansion of (/ 1 c) in c 7.836 * [taylor]: Taking taylor expansion of c in c 7.836 * [backup-simplify]: Simplify 0 into 0 7.836 * [backup-simplify]: Simplify 1 into 1 7.836 * [backup-simplify]: Simplify (/ 1 1) into 1 7.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.838 * [backup-simplify]: Simplify 0 into 0 7.838 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 7.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 7.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.840 * [backup-simplify]: Simplify (+ 0 0) into 0 7.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow c 2)) 1) (* 0 0)))) into (/ 1 (pow c 2)) 7.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow c 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow c 2))) 7.842 * [taylor]: Taking taylor expansion of (- (/ 1 (pow c 2))) in a 7.842 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 7.842 * [taylor]: Taking taylor expansion of (pow c 2) in a 7.842 * [taylor]: Taking taylor expansion of c in a 7.842 * [backup-simplify]: Simplify c into c 7.842 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.842 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.842 * [taylor]: Taking taylor expansion of 0 in c 7.842 * [backup-simplify]: Simplify 0 into 0 7.842 * [backup-simplify]: Simplify 0 into 0 7.842 * [taylor]: Taking taylor expansion of 0 in c 7.842 * [backup-simplify]: Simplify 0 into 0 7.842 * [backup-simplify]: Simplify 0 into 0 7.842 * [backup-simplify]: Simplify 0 into 0 7.844 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 d))))) into 0 7.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 7.844 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0 7.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0 7.845 * [backup-simplify]: Simplify (+ 0 0) into 0 7.846 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 7.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 7.847 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 7.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 7.847 * [backup-simplify]: Simplify (+ 0 0) into 0 7.848 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 7.848 * [taylor]: Taking taylor expansion of 0 in d 7.848 * [backup-simplify]: Simplify 0 into 0 7.848 * [taylor]: Taking taylor expansion of 0 in a 7.848 * [backup-simplify]: Simplify 0 into 0 7.848 * [taylor]: Taking taylor expansion of 0 in a 7.849 * [backup-simplify]: Simplify 0 into 0 7.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.851 * [backup-simplify]: Simplify (+ 0 0) into 0 7.851 * [backup-simplify]: Simplify (+ (* c 0) (* 0 1)) into 0 7.851 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0 7.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0 7.851 * [taylor]: Taking taylor expansion of 0 in a 7.851 * [backup-simplify]: Simplify 0 into 0 7.852 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 7.852 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 7.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.854 * [backup-simplify]: Simplify (+ 0 0) into 0 7.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow c 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 7.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow c 2)) 1)) (* (- (/ 1 (pow c 2))) (/ 0 1)))) into 0 7.857 * [taylor]: Taking taylor expansion of 0 in a 7.857 * [backup-simplify]: Simplify 0 into 0 7.857 * [taylor]: Taking taylor expansion of 0 in c 7.857 * [backup-simplify]: Simplify 0 into 0 7.857 * [backup-simplify]: Simplify 0 into 0 7.857 * [backup-simplify]: Simplify 0 into 0 7.858 * [backup-simplify]: Simplify (/ (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) into (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 7.858 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (b d a c) around 0 7.858 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 7.858 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 7.858 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 7.858 * [taylor]: Taking taylor expansion of (* b d) in c 7.858 * [taylor]: Taking taylor expansion of b in c 7.858 * [backup-simplify]: Simplify b into b 7.858 * [taylor]: Taking taylor expansion of d in c 7.858 * [backup-simplify]: Simplify d into d 7.858 * [backup-simplify]: Simplify (* b d) into (* b d) 7.858 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 7.858 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 7.858 * [taylor]: Taking taylor expansion of (* a c) in c 7.858 * [taylor]: Taking taylor expansion of a in c 7.858 * [backup-simplify]: Simplify a into a 7.858 * [taylor]: Taking taylor expansion of c in c 7.858 * [backup-simplify]: Simplify 0 into 0 7.858 * [backup-simplify]: Simplify 1 into 1 7.858 * [backup-simplify]: Simplify (* a 0) into 0 7.859 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 7.859 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 7.859 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 7.859 * [taylor]: Taking taylor expansion of (pow c 2) in c 7.859 * [taylor]: Taking taylor expansion of c in c 7.859 * [backup-simplify]: Simplify 0 into 0 7.859 * [backup-simplify]: Simplify 1 into 1 7.859 * [backup-simplify]: Simplify (* 1 1) into 1 7.860 * [backup-simplify]: Simplify (/ 1 1) into 1 7.860 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 7.860 * [taylor]: Taking taylor expansion of (pow d 2) in c 7.860 * [taylor]: Taking taylor expansion of d in c 7.860 * [backup-simplify]: Simplify d into d 7.860 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.860 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 7.860 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 7.860 * [backup-simplify]: Simplify (+ 1 0) into 1 7.860 * [backup-simplify]: Simplify (/ (/ 1 a) 1) into (/ 1 a) 7.860 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 7.860 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 7.860 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 7.860 * [taylor]: Taking taylor expansion of (* b d) in a 7.860 * [taylor]: Taking taylor expansion of b in a 7.861 * [backup-simplify]: Simplify b into b 7.861 * [taylor]: Taking taylor expansion of d in a 7.861 * [backup-simplify]: Simplify d into d 7.861 * [backup-simplify]: Simplify (* b d) into (* b d) 7.861 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 7.861 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 7.861 * [taylor]: Taking taylor expansion of (* a c) in a 7.861 * [taylor]: Taking taylor expansion of a in a 7.861 * [backup-simplify]: Simplify 0 into 0 7.861 * [backup-simplify]: Simplify 1 into 1 7.861 * [taylor]: Taking taylor expansion of c in a 7.861 * [backup-simplify]: Simplify c into c 7.861 * [backup-simplify]: Simplify (* 0 c) into 0 7.861 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 7.861 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 7.861 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 7.861 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 7.861 * [taylor]: Taking taylor expansion of (pow c 2) in a 7.861 * [taylor]: Taking taylor expansion of c in a 7.862 * [backup-simplify]: Simplify c into c 7.862 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.862 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.862 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 7.862 * [taylor]: Taking taylor expansion of (pow d 2) in a 7.862 * [taylor]: Taking taylor expansion of d in a 7.862 * [backup-simplify]: Simplify d into d 7.862 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.862 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 7.862 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 7.862 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 7.862 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) 7.862 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 7.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 7.862 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 7.862 * [taylor]: Taking taylor expansion of (* b d) in d 7.862 * [taylor]: Taking taylor expansion of b in d 7.862 * [backup-simplify]: Simplify b into b 7.863 * [taylor]: Taking taylor expansion of d in d 7.863 * [backup-simplify]: Simplify 0 into 0 7.863 * [backup-simplify]: Simplify 1 into 1 7.863 * [backup-simplify]: Simplify (* b 0) into 0 7.863 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 7.863 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.863 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 7.863 * [taylor]: Taking taylor expansion of (* a c) in d 7.863 * [taylor]: Taking taylor expansion of a in d 7.863 * [backup-simplify]: Simplify a into a 7.863 * [taylor]: Taking taylor expansion of c in d 7.863 * [backup-simplify]: Simplify c into c 7.863 * [backup-simplify]: Simplify (* a c) into (* a c) 7.863 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 7.863 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 7.863 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 7.863 * [taylor]: Taking taylor expansion of (pow c 2) in d 7.863 * [taylor]: Taking taylor expansion of c in d 7.863 * [backup-simplify]: Simplify c into c 7.864 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.864 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.864 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 7.864 * [taylor]: Taking taylor expansion of (pow d 2) in d 7.864 * [taylor]: Taking taylor expansion of d in d 7.864 * [backup-simplify]: Simplify 0 into 0 7.864 * [backup-simplify]: Simplify 1 into 1 7.864 * [backup-simplify]: Simplify (* 1 1) into 1 7.864 * [backup-simplify]: Simplify (/ 1 1) into 1 7.865 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 7.865 * [backup-simplify]: Simplify (+ 0 1) into 1 7.865 * [backup-simplify]: Simplify (/ (/ 1 b) 1) into (/ 1 b) 7.865 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 7.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 7.865 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 7.865 * [taylor]: Taking taylor expansion of (* b d) in b 7.865 * [taylor]: Taking taylor expansion of b in b 7.865 * [backup-simplify]: Simplify 0 into 0 7.865 * [backup-simplify]: Simplify 1 into 1 7.865 * [taylor]: Taking taylor expansion of d in b 7.865 * [backup-simplify]: Simplify d into d 7.865 * [backup-simplify]: Simplify (* 0 d) into 0 7.866 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 7.866 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 7.866 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 7.866 * [taylor]: Taking taylor expansion of (* a c) in b 7.866 * [taylor]: Taking taylor expansion of a in b 7.866 * [backup-simplify]: Simplify a into a 7.866 * [taylor]: Taking taylor expansion of c in b 7.866 * [backup-simplify]: Simplify c into c 7.866 * [backup-simplify]: Simplify (* a c) into (* a c) 7.866 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 7.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 7.866 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 7.866 * [taylor]: Taking taylor expansion of (pow c 2) in b 7.866 * [taylor]: Taking taylor expansion of c in b 7.866 * [backup-simplify]: Simplify c into c 7.866 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.866 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.866 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 7.866 * [taylor]: Taking taylor expansion of (pow d 2) in b 7.866 * [taylor]: Taking taylor expansion of d in b 7.866 * [backup-simplify]: Simplify d into d 7.866 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.866 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 7.867 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 7.867 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 7.867 * [backup-simplify]: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) 7.867 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 7.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 7.867 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 7.867 * [taylor]: Taking taylor expansion of (* b d) in b 7.867 * [taylor]: Taking taylor expansion of b in b 7.867 * [backup-simplify]: Simplify 0 into 0 7.867 * [backup-simplify]: Simplify 1 into 1 7.867 * [taylor]: Taking taylor expansion of d in b 7.867 * [backup-simplify]: Simplify d into d 7.867 * [backup-simplify]: Simplify (* 0 d) into 0 7.868 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 7.868 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 7.868 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 7.868 * [taylor]: Taking taylor expansion of (* a c) in b 7.868 * [taylor]: Taking taylor expansion of a in b 7.868 * [backup-simplify]: Simplify a into a 7.868 * [taylor]: Taking taylor expansion of c in b 7.868 * [backup-simplify]: Simplify c into c 7.868 * [backup-simplify]: Simplify (* a c) into (* a c) 7.868 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 7.868 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 7.868 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 7.868 * [taylor]: Taking taylor expansion of (pow c 2) in b 7.868 * [taylor]: Taking taylor expansion of c in b 7.868 * [backup-simplify]: Simplify c into c 7.868 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.868 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.868 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 7.868 * [taylor]: Taking taylor expansion of (pow d 2) in b 7.868 * [taylor]: Taking taylor expansion of d in b 7.868 * [backup-simplify]: Simplify d into d 7.868 * [backup-simplify]: Simplify (* d d) into (pow d 2) 7.868 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 7.868 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 7.869 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 7.869 * [backup-simplify]: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) 7.869 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in d 7.869 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in d 7.869 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 7.869 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 7.869 * [taylor]: Taking taylor expansion of (pow c 2) in d 7.869 * [taylor]: Taking taylor expansion of c in d 7.869 * [backup-simplify]: Simplify c into c 7.869 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.869 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.869 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 7.869 * [taylor]: Taking taylor expansion of (pow d 2) in d 7.869 * [taylor]: Taking taylor expansion of d in d 7.869 * [backup-simplify]: Simplify 0 into 0 7.869 * [backup-simplify]: Simplify 1 into 1 7.870 * [backup-simplify]: Simplify (* 1 1) into 1 7.870 * [backup-simplify]: Simplify (/ 1 1) into 1 7.870 * [taylor]: Taking taylor expansion of d in d 7.870 * [backup-simplify]: Simplify 0 into 0 7.870 * [backup-simplify]: Simplify 1 into 1 7.871 * [backup-simplify]: Simplify (+ 0 1) into 1 7.871 * [backup-simplify]: Simplify (* 1 0) into 0 7.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.873 * [backup-simplify]: Simplify (+ 0 0) into 0 7.873 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 7.874 * [backup-simplify]: Simplify (/ 1 1) into 1 7.874 * [taylor]: Taking taylor expansion of 1 in a 7.874 * [backup-simplify]: Simplify 1 into 1 7.874 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 7.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 7.875 * [backup-simplify]: Simplify (+ 0 (/ 1 (* a c))) into (/ 1 (* a c)) 7.875 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 7.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 7.875 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 7.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 7.875 * [backup-simplify]: Simplify (+ 0 0) into 0 7.876 * [backup-simplify]: Simplify (- (/ (/ 1 (* a c)) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) 7.877 * [taylor]: Taking taylor expansion of (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d 7.877 * [taylor]: Taking taylor expansion of (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d 7.877 * [taylor]: Taking taylor expansion of a in d 7.877 * [backup-simplify]: Simplify a into a 7.877 * [taylor]: Taking taylor expansion of (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 7.877 * [taylor]: Taking taylor expansion of c in d 7.877 * [backup-simplify]: Simplify c into c 7.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 7.877 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 7.877 * [taylor]: Taking taylor expansion of (pow c 2) in d 7.877 * [taylor]: Taking taylor expansion of c in d 7.877 * [backup-simplify]: Simplify c into c 7.877 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.877 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.877 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 7.877 * [taylor]: Taking taylor expansion of (pow d 2) in d 7.877 * [taylor]: Taking taylor expansion of d in d 7.877 * [backup-simplify]: Simplify 0 into 0 7.877 * [backup-simplify]: Simplify 1 into 1 7.877 * [backup-simplify]: Simplify (* 1 1) into 1 7.878 * [backup-simplify]: Simplify (/ 1 1) into 1 7.878 * [backup-simplify]: Simplify (+ 0 1) into 1 7.878 * [backup-simplify]: Simplify (* c 1) into c 7.878 * [backup-simplify]: Simplify (* a c) into (* a c) 7.878 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 7.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.880 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) 0) into (/ 1 (pow c 2)) 7.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow c 2)) 0))) into 0 7.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.881 * [taylor]: Taking taylor expansion of 0 in a 7.881 * [backup-simplify]: Simplify 0 into 0 7.882 * [taylor]: Taking taylor expansion of 1 in c 7.882 * [backup-simplify]: Simplify 1 into 1 7.882 * [backup-simplify]: Simplify 0 into 0 7.882 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 7.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 7.882 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0 7.883 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0 7.883 * [backup-simplify]: Simplify (+ 0 0) into 0 7.883 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 7.883 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 7.884 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 7.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 7.884 * [backup-simplify]: Simplify (+ 0 0) into 0 7.884 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 7.884 * [taylor]: Taking taylor expansion of 0 in d 7.884 * [backup-simplify]: Simplify 0 into 0 7.884 * [taylor]: Taking taylor expansion of 0 in a 7.885 * [backup-simplify]: Simplify 0 into 0 7.885 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 7.885 * [taylor]: Taking taylor expansion of (* a c) in a 7.885 * [taylor]: Taking taylor expansion of a in a 7.885 * [backup-simplify]: Simplify 0 into 0 7.885 * [backup-simplify]: Simplify 1 into 1 7.885 * [taylor]: Taking taylor expansion of c in a 7.885 * [backup-simplify]: Simplify c into c 7.885 * [backup-simplify]: Simplify (* 0 c) into 0 7.885 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 7.885 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 7.885 * [taylor]: Taking taylor expansion of (/ 1 c) in c 7.885 * [taylor]: Taking taylor expansion of c in c 7.885 * [backup-simplify]: Simplify 0 into 0 7.885 * [backup-simplify]: Simplify 1 into 1 7.885 * [backup-simplify]: Simplify (/ 1 1) into 1 7.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.886 * [backup-simplify]: Simplify 0 into 0 7.886 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 7.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 7.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.888 * [backup-simplify]: Simplify (+ 0 0) into 0 7.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow c 2)) 1) (* 0 0)))) into (/ 1 (pow c 2)) 7.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow c 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow c 2))) 7.889 * [taylor]: Taking taylor expansion of (- (/ 1 (pow c 2))) in a 7.889 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 7.889 * [taylor]: Taking taylor expansion of (pow c 2) in a 7.889 * [taylor]: Taking taylor expansion of c in a 7.889 * [backup-simplify]: Simplify c into c 7.889 * [backup-simplify]: Simplify (* c c) into (pow c 2) 7.889 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 7.889 * [taylor]: Taking taylor expansion of 0 in c 7.889 * [backup-simplify]: Simplify 0 into 0 7.889 * [backup-simplify]: Simplify 0 into 0 7.889 * [taylor]: Taking taylor expansion of 0 in c 7.889 * [backup-simplify]: Simplify 0 into 0 7.889 * [backup-simplify]: Simplify 0 into 0 7.889 * [backup-simplify]: Simplify 0 into 0 7.890 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 d))))) into 0 7.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 7.891 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0 7.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0 7.894 * [backup-simplify]: Simplify (+ 0 0) into 0 7.895 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 7.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 7.896 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 7.896 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 7.896 * [backup-simplify]: Simplify (+ 0 0) into 0 7.897 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 7.897 * [taylor]: Taking taylor expansion of 0 in d 7.897 * [backup-simplify]: Simplify 0 into 0 7.897 * [taylor]: Taking taylor expansion of 0 in a 7.897 * [backup-simplify]: Simplify 0 into 0 7.897 * [taylor]: Taking taylor expansion of 0 in a 7.897 * [backup-simplify]: Simplify 0 into 0 7.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.898 * [backup-simplify]: Simplify (+ 0 0) into 0 7.898 * [backup-simplify]: Simplify (+ (* c 0) (* 0 1)) into 0 7.898 * [backup-simplify]: Simplify (+ (* a 0) (* 0 c)) into 0 7.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0 7.898 * [taylor]: Taking taylor expansion of 0 in a 7.898 * [backup-simplify]: Simplify 0 into 0 7.899 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 7.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 7.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.900 * [backup-simplify]: Simplify (+ 0 0) into 0 7.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow c 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 7.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow c 2)) 1)) (* (- (/ 1 (pow c 2))) (/ 0 1)))) into 0 7.902 * [taylor]: Taking taylor expansion of 0 in a 7.902 * [backup-simplify]: Simplify 0 into 0 7.902 * [taylor]: Taking taylor expansion of 0 in c 7.902 * [backup-simplify]: Simplify 0 into 0 7.902 * [backup-simplify]: Simplify 0 into 0 7.902 * [backup-simplify]: Simplify 0 into 0 7.902 * * * [progress]: simplifying candidates 7.902 * * * * [progress]: [ 1 / 280 ] simplifiying candidate # 7.902 * * * * [progress]: [ 2 / 280 ] simplifiying candidate # 7.902 * * * * [progress]: [ 3 / 280 ] simplifiying candidate # 7.902 * * * * [progress]: [ 4 / 280 ] simplifiying candidate # 7.902 * * * * [progress]: [ 5 / 280 ] simplifiying candidate # 7.902 * * * * [progress]: [ 6 / 280 ] simplifiying candidate # 7.903 * * * * [progress]: [ 7 / 280 ] simplifiying candidate # 7.903 * * * * [progress]: [ 8 / 280 ] simplifiying candidate # 7.903 * * * * [progress]: [ 9 / 280 ] simplifiying candidate # 7.903 * * * * [progress]: [ 10 / 280 ] simplifiying candidate # 7.903 * * * * [progress]: [ 11 / 280 ] simplifiying candidate # 7.903 * * * * [progress]: [ 12 / 280 ] simplifiying candidate # 7.903 * * * * [progress]: [ 13 / 280 ] simplifiying candidate # 7.903 * * * * [progress]: [ 14 / 280 ] simplifiying candidate # 7.903 * * * * [progress]: [ 15 / 280 ] simplifiying candidate # 7.903 * * * * [progress]: [ 16 / 280 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* c c) (* d d)))))))> 7.903 * * * * [progress]: [ 17 / 280 ] simplifiying candidate # 7.903 * * * * [progress]: [ 18 / 280 ] simplifiying candidate # 7.903 * * * * [progress]: [ 19 / 280 ] simplifiying candidate # 7.903 * * * * [progress]: [ 20 / 280 ] simplifiying candidate # 7.903 * * * * [progress]: [ 21 / 280 ] simplifiying candidate # 7.903 * * * * [progress]: [ 22 / 280 ] simplifiying candidate # 7.903 * * * * [progress]: [ 23 / 280 ] simplifiying candidate # 7.903 * * * * [progress]: [ 24 / 280 ] simplifiying candidate # 7.903 * * * * [progress]: [ 25 / 280 ] simplifiying candidate # 7.903 * * * * [progress]: [ 26 / 280 ] simplifiying candidate # 7.903 * * * * [progress]: [ 27 / 280 ] simplifiying candidate # 7.903 * * * * [progress]: [ 28 / 280 ] simplifiying candidate # 7.903 * * * * [progress]: [ 29 / 280 ] simplifiying candidate # 7.903 * * * * [progress]: [ 30 / 280 ] simplifiying candidate # 7.904 * * * * [progress]: [ 31 / 280 ] simplifiying candidate # 7.904 * * * * [progress]: [ 32 / 280 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))> 7.904 * * * * [progress]: [ 33 / 280 ] simplifiying candidate # 7.904 * * * * [progress]: [ 34 / 280 ] simplifiying candidate # 7.904 * * * * [progress]: [ 35 / 280 ] simplifiying candidate # 7.904 * * * * [progress]: 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7.904 * * * * [progress]: [ 52 / 280 ] simplifiying candidate # 7.904 * * * * [progress]: [ 53 / 280 ] simplifiying candidate # 7.905 * * * * [progress]: [ 54 / 280 ] simplifiying candidate # 7.905 * * * * [progress]: [ 55 / 280 ] simplifiying candidate # 7.905 * * * * [progress]: [ 56 / 280 ] simplifiying candidate # 7.905 * * * * [progress]: [ 57 / 280 ] simplifiying candidate # 7.905 * * * * [progress]: [ 58 / 280 ] simplifiying candidate # 7.905 * * * * [progress]: [ 59 / 280 ] simplifiying candidate # 7.905 * * * * [progress]: [ 60 / 280 ] simplifiying candidate # 7.905 * * * * [progress]: [ 61 / 280 ] simplifiying candidate # 7.905 * * * * [progress]: [ 62 / 280 ] simplifiying candidate # 7.905 * * * * [progress]: [ 63 / 280 ] simplifiying candidate # 7.905 * * * * [progress]: [ 64 / 280 ] simplifiying candidate # 7.905 * * * * [progress]: [ 65 / 280 ] simplifiying candidate # 7.905 * * * * [progress]: [ 66 / 280 ] simplifiying candidate # 7.905 * * * * [progress]: [ 67 / 280 ] 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7.914 * * * * [progress]: [ 266 / 280 ] simplifiying candidate # 7.914 * * * * [progress]: [ 267 / 280 ] simplifiying candidate # 7.914 * * * * [progress]: [ 268 / 280 ] simplifiying candidate #real (real->posit16 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))))> 7.914 * * * * [progress]: [ 269 / 280 ] simplifiying candidate # 7.914 * * * * [progress]: [ 270 / 280 ] simplifiying candidate # 7.914 * * * * [progress]: [ 271 / 280 ] simplifiying candidate # 7.914 * * * * [progress]: [ 272 / 280 ] simplifiying candidate # 7.914 * * * * [progress]: [ 273 / 280 ] simplifiying candidate # 7.914 * * * * [progress]: [ 274 / 280 ] simplifiying candidate # 7.915 * * * * [progress]: [ 275 / 280 ] simplifiying candidate # 7.915 * * * * [progress]: [ 276 / 280 ] simplifiying candidate # 7.915 * * * * [progress]: [ 277 / 280 ] simplifiying candidate # 7.915 * * * * [progress]: [ 278 / 280 ] simplifiying candidate # 7.915 * * * * [progress]: [ 279 / 280 ] simplifiying candidate # 7.915 * * * * [progress]: [ 280 / 280 ] simplifiying candidate # 7.919 * [simplify]: Simplifying: (log (sqrt (+ (* c c) (* d d)))) (exp (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt 1) (sqrt (+ (* c c) (* d d))) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))) (/ 1 2) (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))) (real->posit16 (sqrt (+ (* c c) (* d d)))) (log (sqrt (+ (* c c) (* d d)))) (exp (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d 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c c) (* d d))) (sqrt (- (* c c) (* d d)))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (real->posit16 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) d c (* -1 c) d c (* -1 c) a b (* -1 b) 0 0 0 7.926 * * [simplify]: iteration 0: 305 enodes 8.015 * * [simplify]: iteration 1: 724 enodes 8.220 * * [simplify]: iteration 2: 1755 enodes 8.530 * * [simplify]: iteration 3: 2010 enodes 8.918 * * [simplify]: iteration complete: 2010 enodes 8.918 * * [simplify]: Extracting #0: cost 189 inf + 0 8.920 * * [simplify]: Extracting #1: cost 597 inf + 89 8.923 * * [simplify]: Extracting #2: cost 680 inf + 8923 8.930 * * [simplify]: Extracting #3: cost 618 inf + 41610 8.959 * * [simplify]: Extracting #4: cost 214 inf + 196764 9.008 * * [simplify]: 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c a) (* b d)) (/ 1 (+ (* c c) (* d d))) (/ (/ (+ (* c a) (* b d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* c c) (* (* c c) (* c c))) (* (* d d) (* (* d d) (* d d)))))) (/ (sqrt (+ (* (- (* d d) (* c c)) (* d d)) (* (* c c) (* c c)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* c a) (* b d)) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* (* c c) (* (* c c) (* c c))) (* (* d d) (* (* d d) (* d d)))))) (/ (sqrt (+ (* (- (* d d) (* c c)) (* d d)) (* (* c c) (* c c)))) (sqrt (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* c a) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* c c) (* (* c c) (* c c))) (* (* d d) (* (* d d) (* d d)))))) (/ (sqrt (+ (* (- (* d d) (* c c)) (* d d)) (* (* c c) (* c c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* c a) (* b d)) (sqrt (+ (* (* c c) (* (* c c) (* c c))) (* (* d d) (* (* d d) (* d d)))))) (/ (sqrt (+ (* (- (* d d) (* c c)) (* d d)) (* (* c c) (* c c)))) (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* c a) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* c c) (* (* c c) (* c c))) (* (* d d) (* (* d d) (* d d)))))) (/ (sqrt (+ (* (- (* d d) (* c c)) (* d d)) (* (* c c) (* c c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* c a) (* b d)) (sqrt (+ (* (* c c) (* (* c c) (* c c))) (* (* d d) (* (* d d) (* d d)))))) (/ (sqrt (+ (* (- (* d d) (* c c)) (* d d)) (* (* c c) (* c c)))) (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* c a) (* b d)) (sqrt (* (+ (* c c) (* d d)) (- (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* c a) (* b d)) (* (sqrt (* (+ (* c c) (* d d)) (- (* c c) (* d d)))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* c a) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (+ (* c c) (* d d)) (- (* c c) (* d d))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* c a) (* b d)) (sqrt (* (+ (* c c) (* d d)) (- (* c c) (* d d))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* c a) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (+ (* c c) (* d d)) (- (* c c) (* d d))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* c a) (* b d)) (sqrt (* (+ (* c c) (* d d)) (- (* c c) (* d d))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* c c) (* d d)) (+ (* c a) (* b d))) (/ (+ (* c a) (* b d)) (* (sqrt (+ (* c c) (* d d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* c a) (* b d)) (sqrt (+ (* c c) (* d d)))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (+ (* c a) (* b d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) (/ (+ (* c a) (* b d)) (sqrt (+ (* c c) (* d d)))) (/ (+ (* c a) (* b d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) (/ (+ (* c a) (* b d)) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ (+ (* c a) (* b d)) (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ (+ (* c a) (* b d)) (sqrt (+ (* c c) (* d d)))))) (/ (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (+ (* c a) (* b d)))) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* c a) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))) (/ (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (+ (* c a) (* b d)))) (/ (+ (* c c) (* d d)) (cbrt (+ (* c a) (* b d)))) (/ (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (+ (* c a) (* b d)))) (/ (+ (* c c) (* d d)) (cbrt (+ (* c a) (* b d)))) (/ (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c a) (* b d)))) (/ (* (sqrt (+ (* c c) (* d d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c a) (* b d)))) (/ (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c a) (* b d)))) (/ (+ (* c c) (* d d)) (sqrt (+ (* c a) (* b d)))) (/ (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c a) (* b d)))) (/ (+ (* c c) (* d d)) (sqrt (+ (* c a) (* b d)))) (/ (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d))))) (+ (* c a) (* b d))) (/ (* (sqrt (+ (* c c) (* d d))) (sqrt (cbrt (+ (* c c) (* d d))))) (+ (* c a) (* b d))) (/ (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (+ (* c a) (* b d))) (/ (+ (* c c) (* d d)) (+ (* c a) (* b d))) (/ (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (+ (* c a) (* b d))) (/ (+ (* c c) (* d d)) (+ (* c a) (* b d))) (/ (+ (* c c) (* d d)) (+ (* c a) (* b d))) (+ (* c c) (* d d)) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* (- (* d d) (* c c)) (* d d)) (* (* c c) (* c c))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (* c c) (* d d)))) (/ (/ (+ (* c a) (* b d)) (sqrt (+ (* (* c c) (* (* c c) (* c c))) (* (* d d) (* (* d d) (* d d)))))) (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* c a) (* b d)) (sqrt (* (+ (* c c) (* d d)) (- (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) (+ (* c c) (* d d)) (real->posit16 (/ (+ (* c a) (* b d)) (+ (* c c) (* d d)))) d c (- c) d c (- c) a b (- b) 0 0 0 9.269 * * * [progress]: adding candidates to table 12.213 * * [progress]: iteration 4 / 4 12.213 * * * [progress]: picking best candidate 12.251 * * * * [pick]: Picked # 12.251 * * * [progress]: localizing error 12.284 * * * [progress]: generating rewritten candidates 12.284 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 12.290 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 12.297 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 12.338 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 12.367 * * * [progress]: generating series expansions 12.367 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 12.367 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2))) 12.367 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0 12.367 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d 12.367 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 12.367 * [taylor]: Taking taylor expansion of (pow c 2) in d 12.367 * [taylor]: Taking taylor expansion of c in d 12.367 * [backup-simplify]: Simplify c into c 12.368 * [taylor]: Taking taylor expansion of (pow d 2) in d 12.368 * [taylor]: Taking taylor expansion of d in d 12.368 * [backup-simplify]: Simplify 0 into 0 12.368 * [backup-simplify]: Simplify 1 into 1 12.368 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.368 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 12.368 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c 12.368 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 12.368 * [backup-simplify]: Simplify (+ 0 0) into 0 12.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 12.369 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 12.369 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 12.369 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.369 * [taylor]: Taking taylor expansion of c in c 12.369 * [backup-simplify]: Simplify 0 into 0 12.369 * [backup-simplify]: Simplify 1 into 1 12.369 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.369 * [taylor]: Taking taylor expansion of d in c 12.369 * [backup-simplify]: Simplify d into d 12.369 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.369 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 12.369 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 12.369 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 12.369 * [backup-simplify]: Simplify (+ 0 0) into 0 12.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 12.369 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 12.369 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 12.369 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.369 * [taylor]: Taking taylor expansion of c in c 12.369 * [backup-simplify]: Simplify 0 into 0 12.369 * [backup-simplify]: Simplify 1 into 1 12.369 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.369 * [taylor]: Taking taylor expansion of d in c 12.369 * [backup-simplify]: Simplify d into d 12.369 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.369 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 12.370 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 12.370 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 12.370 * [backup-simplify]: Simplify (+ 0 0) into 0 12.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 12.370 * [taylor]: Taking taylor expansion of d in d 12.370 * [backup-simplify]: Simplify 0 into 0 12.370 * [backup-simplify]: Simplify 1 into 1 12.370 * [backup-simplify]: Simplify 0 into 0 12.370 * [taylor]: Taking taylor expansion of 0 in d 12.370 * [backup-simplify]: Simplify 0 into 0 12.370 * [backup-simplify]: Simplify 0 into 0 12.370 * [backup-simplify]: Simplify 1 into 1 12.371 * [backup-simplify]: Simplify (* 1 1) into 1 12.371 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 12.371 * [backup-simplify]: Simplify (+ 1 0) into 1 12.372 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) 12.372 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d 12.372 * [taylor]: Taking taylor expansion of 1/2 in d 12.372 * [backup-simplify]: Simplify 1/2 into 1/2 12.372 * [taylor]: Taking taylor expansion of d in d 12.372 * [backup-simplify]: Simplify 0 into 0 12.372 * [backup-simplify]: Simplify 1 into 1 12.372 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.373 * [backup-simplify]: Simplify 0 into 0 12.373 * [backup-simplify]: Simplify 0 into 0 12.373 * [backup-simplify]: Simplify 0 into 0 12.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.374 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 12.374 * [backup-simplify]: Simplify (+ 0 0) into 0 12.374 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 12.374 * [taylor]: Taking taylor expansion of 0 in d 12.374 * [backup-simplify]: Simplify 0 into 0 12.374 * [backup-simplify]: Simplify 0 into 0 12.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.375 * [backup-simplify]: Simplify 0 into 0 12.375 * [backup-simplify]: Simplify 0 into 0 12.375 * [backup-simplify]: Simplify (* 1 (* d 1)) into d 12.375 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 12.375 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 12.375 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 12.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 12.375 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 12.375 * [taylor]: Taking taylor expansion of (pow c 2) in d 12.375 * [taylor]: Taking taylor expansion of c in d 12.375 * [backup-simplify]: Simplify c into c 12.375 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.375 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 12.375 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 12.375 * [taylor]: Taking taylor expansion of (pow d 2) in d 12.375 * [taylor]: Taking taylor expansion of d in d 12.375 * [backup-simplify]: Simplify 0 into 0 12.375 * [backup-simplify]: Simplify 1 into 1 12.376 * [backup-simplify]: Simplify (* 1 1) into 1 12.376 * [backup-simplify]: Simplify (/ 1 1) into 1 12.376 * [backup-simplify]: Simplify (+ 0 1) into 1 12.376 * [backup-simplify]: Simplify (sqrt 1) into 1 12.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.377 * [backup-simplify]: Simplify (+ 0 0) into 0 12.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.378 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 12.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 12.378 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 12.378 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.378 * [taylor]: Taking taylor expansion of c in c 12.378 * [backup-simplify]: Simplify 0 into 0 12.378 * [backup-simplify]: Simplify 1 into 1 12.378 * [backup-simplify]: Simplify (* 1 1) into 1 12.378 * [backup-simplify]: Simplify (/ 1 1) into 1 12.379 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 12.379 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.379 * [taylor]: Taking taylor expansion of d in c 12.379 * [backup-simplify]: Simplify d into d 12.379 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.379 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.379 * [backup-simplify]: Simplify (+ 1 0) into 1 12.379 * [backup-simplify]: Simplify (sqrt 1) into 1 12.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.380 * [backup-simplify]: Simplify (+ 0 0) into 0 12.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 12.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 12.381 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 12.381 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.381 * [taylor]: Taking taylor expansion of c in c 12.381 * [backup-simplify]: Simplify 0 into 0 12.381 * [backup-simplify]: Simplify 1 into 1 12.381 * [backup-simplify]: Simplify (* 1 1) into 1 12.381 * [backup-simplify]: Simplify (/ 1 1) into 1 12.381 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 12.381 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.381 * [taylor]: Taking taylor expansion of d in c 12.381 * [backup-simplify]: Simplify d into d 12.381 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.382 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.382 * [backup-simplify]: Simplify (+ 1 0) into 1 12.382 * [backup-simplify]: Simplify (sqrt 1) into 1 12.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.383 * [backup-simplify]: Simplify (+ 0 0) into 0 12.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.384 * [taylor]: Taking taylor expansion of 1 in d 12.384 * [backup-simplify]: Simplify 1 into 1 12.384 * [taylor]: Taking taylor expansion of 0 in d 12.384 * [backup-simplify]: Simplify 0 into 0 12.384 * [backup-simplify]: Simplify 1 into 1 12.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.385 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 12.386 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 12.386 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 12.386 * [taylor]: Taking taylor expansion of 1/2 in d 12.386 * [backup-simplify]: Simplify 1/2 into 1/2 12.386 * [taylor]: Taking taylor expansion of (pow d 2) in d 12.386 * [taylor]: Taking taylor expansion of d in d 12.386 * [backup-simplify]: Simplify 0 into 0 12.386 * [backup-simplify]: Simplify 1 into 1 12.386 * [backup-simplify]: Simplify (* 1 1) into 1 12.386 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.387 * [backup-simplify]: Simplify 0 into 0 12.387 * [backup-simplify]: Simplify 0 into 0 12.387 * [backup-simplify]: Simplify 0 into 0 12.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.389 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 12.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 12.389 * [backup-simplify]: Simplify (+ 0 0) into 0 12.389 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 12.389 * [taylor]: Taking taylor expansion of 0 in d 12.389 * [backup-simplify]: Simplify 0 into 0 12.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.390 * [backup-simplify]: Simplify 0 into 0 12.390 * [backup-simplify]: Simplify 0 into 0 12.390 * [backup-simplify]: Simplify 0 into 0 12.391 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c 12.391 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 12.391 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 12.391 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 12.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 12.391 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 12.391 * [taylor]: Taking taylor expansion of (pow c 2) in d 12.391 * [taylor]: Taking taylor expansion of c in d 12.391 * [backup-simplify]: Simplify c into c 12.391 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.391 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 12.391 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 12.391 * [taylor]: Taking taylor expansion of (pow d 2) in d 12.391 * [taylor]: Taking taylor expansion of d in d 12.391 * [backup-simplify]: Simplify 0 into 0 12.391 * [backup-simplify]: Simplify 1 into 1 12.391 * [backup-simplify]: Simplify (* 1 1) into 1 12.391 * [backup-simplify]: Simplify (/ 1 1) into 1 12.392 * [backup-simplify]: Simplify (+ 0 1) into 1 12.392 * [backup-simplify]: Simplify (sqrt 1) into 1 12.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.396 * [backup-simplify]: Simplify (+ 0 0) into 0 12.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.396 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 12.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 12.396 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 12.396 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.396 * [taylor]: Taking taylor expansion of c in c 12.397 * [backup-simplify]: Simplify 0 into 0 12.397 * [backup-simplify]: Simplify 1 into 1 12.397 * [backup-simplify]: Simplify (* 1 1) into 1 12.397 * [backup-simplify]: Simplify (/ 1 1) into 1 12.397 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 12.397 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.397 * [taylor]: Taking taylor expansion of d in c 12.397 * [backup-simplify]: Simplify d into d 12.397 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.397 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.398 * [backup-simplify]: Simplify (+ 1 0) into 1 12.398 * [backup-simplify]: Simplify (sqrt 1) into 1 12.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.399 * [backup-simplify]: Simplify (+ 0 0) into 0 12.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.399 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 12.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 12.399 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 12.399 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.399 * [taylor]: Taking taylor expansion of c in c 12.399 * [backup-simplify]: Simplify 0 into 0 12.399 * [backup-simplify]: Simplify 1 into 1 12.400 * [backup-simplify]: Simplify (* 1 1) into 1 12.400 * [backup-simplify]: Simplify (/ 1 1) into 1 12.400 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 12.400 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.400 * [taylor]: Taking taylor expansion of d in c 12.400 * [backup-simplify]: Simplify d into d 12.400 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.400 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.400 * [backup-simplify]: Simplify (+ 1 0) into 1 12.400 * [backup-simplify]: Simplify (sqrt 1) into 1 12.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.402 * [backup-simplify]: Simplify (+ 0 0) into 0 12.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.402 * [taylor]: Taking taylor expansion of 1 in d 12.402 * [backup-simplify]: Simplify 1 into 1 12.402 * [taylor]: Taking taylor expansion of 0 in d 12.402 * [backup-simplify]: Simplify 0 into 0 12.402 * [backup-simplify]: Simplify 1 into 1 12.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.403 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 12.404 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 12.404 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 12.404 * [taylor]: Taking taylor expansion of 1/2 in d 12.404 * [backup-simplify]: Simplify 1/2 into 1/2 12.404 * [taylor]: Taking taylor expansion of (pow d 2) in d 12.404 * [taylor]: Taking taylor expansion of d in d 12.404 * [backup-simplify]: Simplify 0 into 0 12.404 * [backup-simplify]: Simplify 1 into 1 12.404 * [backup-simplify]: Simplify (* 1 1) into 1 12.405 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.406 * [backup-simplify]: Simplify 0 into 0 12.406 * [backup-simplify]: Simplify 0 into 0 12.406 * [backup-simplify]: Simplify 0 into 0 12.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.407 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 12.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 12.407 * [backup-simplify]: Simplify (+ 0 0) into 0 12.408 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 12.408 * [taylor]: Taking taylor expansion of 0 in d 12.408 * [backup-simplify]: Simplify 0 into 0 12.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.409 * [backup-simplify]: Simplify 0 into 0 12.409 * [backup-simplify]: Simplify 0 into 0 12.409 * [backup-simplify]: Simplify 0 into 0 12.409 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) 12.409 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 12.409 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2))) 12.409 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0 12.409 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d 12.409 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 12.409 * [taylor]: Taking taylor expansion of (pow c 2) in d 12.409 * [taylor]: Taking taylor expansion of c in d 12.409 * [backup-simplify]: Simplify c into c 12.409 * [taylor]: Taking taylor expansion of (pow d 2) in d 12.409 * [taylor]: Taking taylor expansion of d in d 12.409 * [backup-simplify]: Simplify 0 into 0 12.409 * [backup-simplify]: Simplify 1 into 1 12.409 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.409 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 12.409 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c 12.409 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 12.410 * [backup-simplify]: Simplify (+ 0 0) into 0 12.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 12.410 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 12.410 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 12.410 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.410 * [taylor]: Taking taylor expansion of c in c 12.410 * [backup-simplify]: Simplify 0 into 0 12.410 * [backup-simplify]: Simplify 1 into 1 12.410 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.410 * [taylor]: Taking taylor expansion of d in c 12.410 * [backup-simplify]: Simplify d into d 12.410 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.410 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 12.410 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 12.410 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 12.410 * [backup-simplify]: Simplify (+ 0 0) into 0 12.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 12.410 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 12.411 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 12.411 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.411 * [taylor]: Taking taylor expansion of c in c 12.411 * [backup-simplify]: Simplify 0 into 0 12.411 * [backup-simplify]: Simplify 1 into 1 12.411 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.411 * [taylor]: Taking taylor expansion of d in c 12.411 * [backup-simplify]: Simplify d into d 12.411 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.411 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 12.411 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 12.411 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 12.411 * [backup-simplify]: Simplify (+ 0 0) into 0 12.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 12.411 * [taylor]: Taking taylor expansion of d in d 12.411 * [backup-simplify]: Simplify 0 into 0 12.411 * [backup-simplify]: Simplify 1 into 1 12.411 * [backup-simplify]: Simplify 0 into 0 12.411 * [taylor]: Taking taylor expansion of 0 in d 12.411 * [backup-simplify]: Simplify 0 into 0 12.411 * [backup-simplify]: Simplify 0 into 0 12.411 * [backup-simplify]: Simplify 1 into 1 12.412 * [backup-simplify]: Simplify (* 1 1) into 1 12.412 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 12.412 * [backup-simplify]: Simplify (+ 1 0) into 1 12.413 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) 12.413 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d 12.413 * [taylor]: Taking taylor expansion of 1/2 in d 12.413 * [backup-simplify]: Simplify 1/2 into 1/2 12.413 * [taylor]: Taking taylor expansion of d in d 12.413 * [backup-simplify]: Simplify 0 into 0 12.413 * [backup-simplify]: Simplify 1 into 1 12.413 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.414 * [backup-simplify]: Simplify 0 into 0 12.414 * [backup-simplify]: Simplify 0 into 0 12.414 * [backup-simplify]: Simplify 0 into 0 12.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.414 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 12.415 * [backup-simplify]: Simplify (+ 0 0) into 0 12.415 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 12.415 * [taylor]: Taking taylor expansion of 0 in d 12.415 * [backup-simplify]: Simplify 0 into 0 12.415 * [backup-simplify]: Simplify 0 into 0 12.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.415 * [backup-simplify]: Simplify 0 into 0 12.415 * [backup-simplify]: Simplify 0 into 0 12.416 * [backup-simplify]: Simplify (* 1 (* d 1)) into d 12.416 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 12.416 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 12.416 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 12.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 12.416 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 12.416 * [taylor]: Taking taylor expansion of (pow c 2) in d 12.416 * [taylor]: Taking taylor expansion of c in d 12.416 * [backup-simplify]: Simplify c into c 12.416 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.416 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 12.416 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 12.416 * [taylor]: Taking taylor expansion of (pow d 2) in d 12.416 * [taylor]: Taking taylor expansion of d in d 12.416 * [backup-simplify]: Simplify 0 into 0 12.416 * [backup-simplify]: Simplify 1 into 1 12.416 * [backup-simplify]: Simplify (* 1 1) into 1 12.416 * [backup-simplify]: Simplify (/ 1 1) into 1 12.417 * [backup-simplify]: Simplify (+ 0 1) into 1 12.417 * [backup-simplify]: Simplify (sqrt 1) into 1 12.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.418 * [backup-simplify]: Simplify (+ 0 0) into 0 12.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.418 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 12.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 12.419 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 12.419 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.419 * [taylor]: Taking taylor expansion of c in c 12.419 * [backup-simplify]: Simplify 0 into 0 12.419 * [backup-simplify]: Simplify 1 into 1 12.419 * [backup-simplify]: Simplify (* 1 1) into 1 12.419 * [backup-simplify]: Simplify (/ 1 1) into 1 12.419 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 12.419 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.419 * [taylor]: Taking taylor expansion of d in c 12.419 * [backup-simplify]: Simplify d into d 12.419 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.419 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.420 * [backup-simplify]: Simplify (+ 1 0) into 1 12.420 * [backup-simplify]: Simplify (sqrt 1) into 1 12.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.421 * [backup-simplify]: Simplify (+ 0 0) into 0 12.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.421 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 12.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 12.422 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 12.422 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.422 * [taylor]: Taking taylor expansion of c in c 12.422 * [backup-simplify]: Simplify 0 into 0 12.422 * [backup-simplify]: Simplify 1 into 1 12.422 * [backup-simplify]: Simplify (* 1 1) into 1 12.422 * [backup-simplify]: Simplify (/ 1 1) into 1 12.422 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 12.422 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.422 * [taylor]: Taking taylor expansion of d in c 12.422 * [backup-simplify]: Simplify d into d 12.422 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.422 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.423 * [backup-simplify]: Simplify (+ 1 0) into 1 12.423 * [backup-simplify]: Simplify (sqrt 1) into 1 12.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.424 * [backup-simplify]: Simplify (+ 0 0) into 0 12.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.424 * [taylor]: Taking taylor expansion of 1 in d 12.424 * [backup-simplify]: Simplify 1 into 1 12.424 * [taylor]: Taking taylor expansion of 0 in d 12.424 * [backup-simplify]: Simplify 0 into 0 12.424 * [backup-simplify]: Simplify 1 into 1 12.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.426 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 12.426 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 12.426 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 12.426 * [taylor]: Taking taylor expansion of 1/2 in d 12.426 * [backup-simplify]: Simplify 1/2 into 1/2 12.426 * [taylor]: Taking taylor expansion of (pow d 2) in d 12.426 * [taylor]: Taking taylor expansion of d in d 12.426 * [backup-simplify]: Simplify 0 into 0 12.426 * [backup-simplify]: Simplify 1 into 1 12.427 * [backup-simplify]: Simplify (* 1 1) into 1 12.427 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.428 * [backup-simplify]: Simplify 0 into 0 12.428 * [backup-simplify]: Simplify 0 into 0 12.428 * [backup-simplify]: Simplify 0 into 0 12.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.429 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 12.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 12.429 * [backup-simplify]: Simplify (+ 0 0) into 0 12.430 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 12.430 * [taylor]: Taking taylor expansion of 0 in d 12.430 * [backup-simplify]: Simplify 0 into 0 12.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.431 * [backup-simplify]: Simplify 0 into 0 12.431 * [backup-simplify]: Simplify 0 into 0 12.431 * [backup-simplify]: Simplify 0 into 0 12.431 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c 12.431 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 12.431 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 12.431 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 12.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 12.431 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 12.431 * [taylor]: Taking taylor expansion of (pow c 2) in d 12.431 * [taylor]: Taking taylor expansion of c in d 12.431 * [backup-simplify]: Simplify c into c 12.431 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.431 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 12.432 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 12.432 * [taylor]: Taking taylor expansion of (pow d 2) in d 12.432 * [taylor]: Taking taylor expansion of d in d 12.432 * [backup-simplify]: Simplify 0 into 0 12.432 * [backup-simplify]: Simplify 1 into 1 12.432 * [backup-simplify]: Simplify (* 1 1) into 1 12.432 * [backup-simplify]: Simplify (/ 1 1) into 1 12.433 * [backup-simplify]: Simplify (+ 0 1) into 1 12.433 * [backup-simplify]: Simplify (sqrt 1) into 1 12.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.434 * [backup-simplify]: Simplify (+ 0 0) into 0 12.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.434 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 12.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 12.434 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 12.434 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.434 * [taylor]: Taking taylor expansion of c in c 12.434 * [backup-simplify]: Simplify 0 into 0 12.434 * [backup-simplify]: Simplify 1 into 1 12.435 * [backup-simplify]: Simplify (* 1 1) into 1 12.435 * [backup-simplify]: Simplify (/ 1 1) into 1 12.435 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 12.435 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.435 * [taylor]: Taking taylor expansion of d in c 12.435 * [backup-simplify]: Simplify d into d 12.435 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.435 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.435 * [backup-simplify]: Simplify (+ 1 0) into 1 12.436 * [backup-simplify]: Simplify (sqrt 1) into 1 12.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.437 * [backup-simplify]: Simplify (+ 0 0) into 0 12.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.437 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 12.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 12.437 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 12.437 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.437 * [taylor]: Taking taylor expansion of c in c 12.437 * [backup-simplify]: Simplify 0 into 0 12.437 * [backup-simplify]: Simplify 1 into 1 12.437 * [backup-simplify]: Simplify (* 1 1) into 1 12.438 * [backup-simplify]: Simplify (/ 1 1) into 1 12.438 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 12.438 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.438 * [taylor]: Taking taylor expansion of d in c 12.438 * [backup-simplify]: Simplify d into d 12.438 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.438 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.438 * [backup-simplify]: Simplify (+ 1 0) into 1 12.438 * [backup-simplify]: Simplify (sqrt 1) into 1 12.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.439 * [backup-simplify]: Simplify (+ 0 0) into 0 12.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.440 * [taylor]: Taking taylor expansion of 1 in d 12.440 * [backup-simplify]: Simplify 1 into 1 12.440 * [taylor]: Taking taylor expansion of 0 in d 12.440 * [backup-simplify]: Simplify 0 into 0 12.440 * [backup-simplify]: Simplify 1 into 1 12.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.441 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 12.442 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 12.442 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 12.442 * [taylor]: Taking taylor expansion of 1/2 in d 12.442 * [backup-simplify]: Simplify 1/2 into 1/2 12.442 * [taylor]: Taking taylor expansion of (pow d 2) in d 12.442 * [taylor]: Taking taylor expansion of d in d 12.442 * [backup-simplify]: Simplify 0 into 0 12.442 * [backup-simplify]: Simplify 1 into 1 12.442 * [backup-simplify]: Simplify (* 1 1) into 1 12.443 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.443 * [backup-simplify]: Simplify 0 into 0 12.444 * [backup-simplify]: Simplify 0 into 0 12.444 * [backup-simplify]: Simplify 0 into 0 12.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.445 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 12.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 12.445 * [backup-simplify]: Simplify (+ 0 0) into 0 12.445 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 12.446 * [taylor]: Taking taylor expansion of 0 in d 12.446 * [backup-simplify]: Simplify 0 into 0 12.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.447 * [backup-simplify]: Simplify 0 into 0 12.447 * [backup-simplify]: Simplify 0 into 0 12.447 * [backup-simplify]: Simplify 0 into 0 12.447 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) 12.447 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 12.447 * [backup-simplify]: Simplify (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) into (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) 12.447 * [approximate]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in (a c b d) around 0 12.447 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in d 12.447 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d 12.447 * [taylor]: Taking taylor expansion of (* a c) in d 12.447 * [taylor]: Taking taylor expansion of a in d 12.447 * [backup-simplify]: Simplify a into a 12.447 * [taylor]: Taking taylor expansion of c in d 12.447 * [backup-simplify]: Simplify c into c 12.447 * [taylor]: Taking taylor expansion of (* b d) in d 12.447 * [taylor]: Taking taylor expansion of b in d 12.447 * [backup-simplify]: Simplify b into b 12.447 * [taylor]: Taking taylor expansion of d in d 12.447 * [backup-simplify]: Simplify 0 into 0 12.447 * [backup-simplify]: Simplify 1 into 1 12.447 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in d 12.447 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in d 12.447 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 12.447 * [taylor]: Taking taylor expansion of (pow c 2) in d 12.447 * [taylor]: Taking taylor expansion of c in d 12.447 * [backup-simplify]: Simplify c into c 12.447 * [taylor]: Taking taylor expansion of (pow d 2) in d 12.447 * [taylor]: Taking taylor expansion of d in d 12.447 * [backup-simplify]: Simplify 0 into 0 12.447 * [backup-simplify]: Simplify 1 into 1 12.447 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.448 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 12.448 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 12.448 * [backup-simplify]: Simplify (sqrt (/ 1 (pow c 2))) into (/ 1 c) 12.448 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 12.448 * [backup-simplify]: Simplify (+ 0 0) into 0 12.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 12.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow c 2))))) into 0 12.448 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in b 12.448 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b 12.448 * [taylor]: Taking taylor expansion of (* a c) in b 12.448 * [taylor]: Taking taylor expansion of a in b 12.448 * [backup-simplify]: Simplify a into a 12.448 * [taylor]: Taking taylor expansion of c in b 12.448 * [backup-simplify]: Simplify c into c 12.448 * [taylor]: Taking taylor expansion of (* b d) in b 12.448 * [taylor]: Taking taylor expansion of b in b 12.448 * [backup-simplify]: Simplify 0 into 0 12.448 * [backup-simplify]: Simplify 1 into 1 12.448 * [taylor]: Taking taylor expansion of d in b 12.448 * [backup-simplify]: Simplify d into d 12.448 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in b 12.448 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in b 12.448 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b 12.448 * [taylor]: Taking taylor expansion of (pow c 2) in b 12.448 * [taylor]: Taking taylor expansion of c in b 12.448 * [backup-simplify]: Simplify c into c 12.448 * [taylor]: Taking taylor expansion of (pow d 2) in b 12.448 * [taylor]: Taking taylor expansion of d in b 12.449 * [backup-simplify]: Simplify d into d 12.449 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.449 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.449 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 12.449 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2))) 12.449 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) 12.449 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 12.449 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 12.449 * [backup-simplify]: Simplify (+ 0 0) into 0 12.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 12.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0 12.450 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c 12.450 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c 12.450 * [taylor]: Taking taylor expansion of (* a c) in c 12.450 * [taylor]: Taking taylor expansion of a in c 12.450 * [backup-simplify]: Simplify a into a 12.450 * [taylor]: Taking taylor expansion of c in c 12.450 * [backup-simplify]: Simplify 0 into 0 12.450 * [backup-simplify]: Simplify 1 into 1 12.450 * [taylor]: Taking taylor expansion of (* b d) in c 12.450 * [taylor]: Taking taylor expansion of b in c 12.450 * [backup-simplify]: Simplify b into b 12.450 * [taylor]: Taking taylor expansion of d in c 12.450 * [backup-simplify]: Simplify d into d 12.450 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c 12.450 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c 12.450 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 12.450 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.450 * [taylor]: Taking taylor expansion of c in c 12.450 * [backup-simplify]: Simplify 0 into 0 12.450 * [backup-simplify]: Simplify 1 into 1 12.450 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.450 * [taylor]: Taking taylor expansion of d in c 12.450 * [backup-simplify]: Simplify d into d 12.450 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.450 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 12.450 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.450 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d) 12.450 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 12.450 * [backup-simplify]: Simplify (+ 0 0) into 0 12.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 12.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0 12.451 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a 12.451 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 12.451 * [taylor]: Taking taylor expansion of (* a c) in a 12.451 * [taylor]: Taking taylor expansion of a in a 12.451 * [backup-simplify]: Simplify 0 into 0 12.451 * [backup-simplify]: Simplify 1 into 1 12.451 * [taylor]: Taking taylor expansion of c in a 12.451 * [backup-simplify]: Simplify c into c 12.451 * [taylor]: Taking taylor expansion of (* b d) in a 12.451 * [taylor]: Taking taylor expansion of b in a 12.451 * [backup-simplify]: Simplify b into b 12.451 * [taylor]: Taking taylor expansion of d in a 12.451 * [backup-simplify]: Simplify d into d 12.451 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a 12.451 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a 12.451 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a 12.451 * [taylor]: Taking taylor expansion of (pow c 2) in a 12.451 * [taylor]: Taking taylor expansion of c in a 12.451 * [backup-simplify]: Simplify c into c 12.451 * [taylor]: Taking taylor expansion of (pow d 2) in a 12.451 * [taylor]: Taking taylor expansion of d in a 12.451 * [backup-simplify]: Simplify d into d 12.451 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.451 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.451 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 12.451 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2))) 12.451 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) 12.451 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 12.451 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 12.452 * [backup-simplify]: Simplify (+ 0 0) into 0 12.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 12.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0 12.452 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a 12.452 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 12.452 * [taylor]: Taking taylor expansion of (* a c) in a 12.452 * [taylor]: Taking taylor expansion of a in a 12.452 * [backup-simplify]: Simplify 0 into 0 12.452 * [backup-simplify]: Simplify 1 into 1 12.452 * [taylor]: Taking taylor expansion of c in a 12.452 * [backup-simplify]: Simplify c into c 12.452 * [taylor]: Taking taylor expansion of (* b d) in a 12.452 * [taylor]: Taking taylor expansion of b in a 12.452 * [backup-simplify]: Simplify b into b 12.452 * [taylor]: Taking taylor expansion of d in a 12.452 * [backup-simplify]: Simplify d into d 12.452 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a 12.452 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a 12.452 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a 12.452 * [taylor]: Taking taylor expansion of (pow c 2) in a 12.452 * [taylor]: Taking taylor expansion of c in a 12.452 * [backup-simplify]: Simplify c into c 12.452 * [taylor]: Taking taylor expansion of (pow d 2) in a 12.452 * [taylor]: Taking taylor expansion of d in a 12.452 * [backup-simplify]: Simplify d into d 12.452 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.452 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.452 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 12.453 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2))) 12.453 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) 12.453 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 12.453 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 12.453 * [backup-simplify]: Simplify (+ 0 0) into 0 12.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 12.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0 12.453 * [backup-simplify]: Simplify (* 0 c) into 0 12.453 * [backup-simplify]: Simplify (* b d) into (* b d) 12.453 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 12.454 * [backup-simplify]: Simplify (* (* b d) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) into (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) 12.454 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) in c 12.454 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c 12.454 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c 12.454 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 12.454 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.454 * [taylor]: Taking taylor expansion of c in c 12.454 * [backup-simplify]: Simplify 0 into 0 12.454 * [backup-simplify]: Simplify 1 into 1 12.454 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.454 * [taylor]: Taking taylor expansion of d in c 12.454 * [backup-simplify]: Simplify d into d 12.454 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.454 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 12.454 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.454 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d) 12.454 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 12.454 * [backup-simplify]: Simplify (+ 0 0) into 0 12.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 12.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0 12.454 * [taylor]: Taking taylor expansion of (* b d) in c 12.455 * [taylor]: Taking taylor expansion of b in c 12.455 * [backup-simplify]: Simplify b into b 12.455 * [taylor]: Taking taylor expansion of d in c 12.455 * [backup-simplify]: Simplify d into d 12.455 * [backup-simplify]: Simplify (* b d) into (* b d) 12.455 * [backup-simplify]: Simplify (* (/ 1 d) (* b d)) into b 12.455 * [taylor]: Taking taylor expansion of b in b 12.455 * [backup-simplify]: Simplify 0 into 0 12.455 * [backup-simplify]: Simplify 1 into 1 12.455 * [taylor]: Taking taylor expansion of 0 in d 12.455 * [backup-simplify]: Simplify 0 into 0 12.455 * [backup-simplify]: Simplify 0 into 0 12.455 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 12.455 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 12.455 * [backup-simplify]: Simplify (+ c 0) into c 12.455 * [backup-simplify]: Simplify (+ (* (* b d) 0) (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) 12.455 * [taylor]: Taking taylor expansion of (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c 12.455 * [taylor]: Taking taylor expansion of c in c 12.455 * [backup-simplify]: Simplify 0 into 0 12.455 * [backup-simplify]: Simplify 1 into 1 12.455 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c 12.455 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c 12.455 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 12.455 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.455 * [taylor]: Taking taylor expansion of c in c 12.455 * [backup-simplify]: Simplify 0 into 0 12.455 * [backup-simplify]: Simplify 1 into 1 12.456 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.456 * [taylor]: Taking taylor expansion of d in c 12.456 * [backup-simplify]: Simplify d into d 12.456 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.456 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 12.456 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.456 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d) 12.456 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 12.456 * [backup-simplify]: Simplify (+ 0 0) into 0 12.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 12.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0 12.456 * [backup-simplify]: Simplify (* 0 (/ 1 d)) into 0 12.456 * [taylor]: Taking taylor expansion of 0 in b 12.456 * [backup-simplify]: Simplify 0 into 0 12.456 * [taylor]: Taking taylor expansion of 0 in d 12.456 * [backup-simplify]: Simplify 0 into 0 12.456 * [backup-simplify]: Simplify 0 into 0 12.456 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 12.456 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (* 0 (* b d))) into 0 12.457 * [taylor]: Taking taylor expansion of 0 in b 12.457 * [backup-simplify]: Simplify 0 into 0 12.457 * [taylor]: Taking taylor expansion of 0 in d 12.457 * [backup-simplify]: Simplify 0 into 0 12.457 * [backup-simplify]: Simplify 0 into 0 12.457 * [taylor]: Taking taylor expansion of 1 in d 12.457 * [backup-simplify]: Simplify 1 into 1 12.457 * [backup-simplify]: Simplify 1 into 1 12.457 * [backup-simplify]: Simplify 0 into 0 12.457 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 12.457 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 12.458 * [backup-simplify]: Simplify (+ 0 0) into 0 12.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))) (* 0 (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 12.458 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0 12.459 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 12.459 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 12.459 * [backup-simplify]: Simplify (+ 0 0) into 0 12.459 * [backup-simplify]: Simplify (+ (* (* b d) 0) (+ (* c 0) (* 0 (sqrt (/ 1 (+ (pow c 2) (pow d 2))))))) into 0 12.460 * [taylor]: Taking taylor expansion of 0 in c 12.460 * [backup-simplify]: Simplify 0 into 0 12.460 * [taylor]: Taking taylor expansion of 0 in b 12.460 * [backup-simplify]: Simplify 0 into 0 12.460 * [taylor]: Taking taylor expansion of 0 in d 12.460 * [backup-simplify]: Simplify 0 into 0 12.460 * [backup-simplify]: Simplify 0 into 0 12.460 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1 d))) into (/ 1 d) 12.460 * [taylor]: Taking taylor expansion of (/ 1 d) in b 12.460 * [taylor]: Taking taylor expansion of d in b 12.460 * [backup-simplify]: Simplify d into d 12.460 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 12.460 * [taylor]: Taking taylor expansion of (/ 1 d) in d 12.460 * [taylor]: Taking taylor expansion of d in d 12.460 * [backup-simplify]: Simplify 0 into 0 12.460 * [backup-simplify]: Simplify 1 into 1 12.460 * [backup-simplify]: Simplify (/ 1 1) into 1 12.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.461 * [backup-simplify]: Simplify 0 into 0 12.461 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 12.461 * [backup-simplify]: Simplify (* 1 1) into 1 12.462 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 12.462 * [backup-simplify]: Simplify (+ 1 0) into 1 12.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ 1 (pow d 4))) 12.463 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 4))) (pow 0 2) (+)) (* 2 (/ 1 d))) into (/ -1/2 (pow d 3)) 12.463 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* (/ -1/2 (pow d 3)) (* b d)))) into (- (* 1/2 (/ b (pow d 2)))) 12.463 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ b (pow d 2)))) in b 12.463 * [taylor]: Taking taylor expansion of (* 1/2 (/ b (pow d 2))) in b 12.463 * [taylor]: Taking taylor expansion of 1/2 in b 12.463 * [backup-simplify]: Simplify 1/2 into 1/2 12.463 * [taylor]: Taking taylor expansion of (/ b (pow d 2)) in b 12.463 * [taylor]: Taking taylor expansion of b in b 12.463 * [backup-simplify]: Simplify 0 into 0 12.463 * [backup-simplify]: Simplify 1 into 1 12.463 * [taylor]: Taking taylor expansion of (pow d 2) in b 12.463 * [taylor]: Taking taylor expansion of d in b 12.463 * [backup-simplify]: Simplify d into d 12.463 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.463 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.463 * [taylor]: Taking taylor expansion of 0 in d 12.463 * [backup-simplify]: Simplify 0 into 0 12.464 * [backup-simplify]: Simplify 0 into 0 12.464 * [taylor]: Taking taylor expansion of 0 in d 12.464 * [backup-simplify]: Simplify 0 into 0 12.464 * [backup-simplify]: Simplify 0 into 0 12.464 * [taylor]: Taking taylor expansion of 0 in d 12.464 * [backup-simplify]: Simplify 0 into 0 12.464 * [backup-simplify]: Simplify 0 into 0 12.464 * [backup-simplify]: Simplify (* 1 (* 1 (* b (* 1 1)))) into b 12.464 * [backup-simplify]: Simplify (* (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) into (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) 12.464 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in (a c b d) around 0 12.464 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d 12.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 12.464 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 12.464 * [taylor]: Taking taylor expansion of (* b d) in d 12.464 * [taylor]: Taking taylor expansion of b in d 12.464 * [backup-simplify]: Simplify b into b 12.464 * [taylor]: Taking taylor expansion of d in d 12.464 * [backup-simplify]: Simplify 0 into 0 12.464 * [backup-simplify]: Simplify 1 into 1 12.464 * [backup-simplify]: Simplify (* b 0) into 0 12.465 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 12.465 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.465 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 12.465 * [taylor]: Taking taylor expansion of (* a c) in d 12.465 * [taylor]: Taking taylor expansion of a in d 12.465 * [backup-simplify]: Simplify a into a 12.465 * [taylor]: Taking taylor expansion of c in d 12.465 * [backup-simplify]: Simplify c into c 12.465 * [backup-simplify]: Simplify (* a c) into (* a c) 12.465 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 12.465 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d 12.465 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 12.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 12.465 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 12.465 * [taylor]: Taking taylor expansion of (pow c 2) in d 12.465 * [taylor]: Taking taylor expansion of c in d 12.465 * [backup-simplify]: Simplify c into c 12.465 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.465 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 12.465 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 12.465 * [taylor]: Taking taylor expansion of (pow d 2) in d 12.465 * [taylor]: Taking taylor expansion of d in d 12.465 * [backup-simplify]: Simplify 0 into 0 12.465 * [backup-simplify]: Simplify 1 into 1 12.465 * [backup-simplify]: Simplify (* 1 1) into 1 12.466 * [backup-simplify]: Simplify (/ 1 1) into 1 12.466 * [backup-simplify]: Simplify (+ 0 1) into 1 12.466 * [backup-simplify]: Simplify (/ 1 1) into 1 12.466 * [backup-simplify]: Simplify (sqrt 1) into 1 12.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.467 * [backup-simplify]: Simplify (+ 0 0) into 0 12.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.468 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b 12.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 12.468 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 12.468 * [taylor]: Taking taylor expansion of (* b d) in b 12.468 * [taylor]: Taking taylor expansion of b in b 12.468 * [backup-simplify]: Simplify 0 into 0 12.468 * [backup-simplify]: Simplify 1 into 1 12.468 * [taylor]: Taking taylor expansion of d in b 12.468 * [backup-simplify]: Simplify d into d 12.469 * [backup-simplify]: Simplify (* 0 d) into 0 12.469 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 12.469 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 12.469 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 12.469 * [taylor]: Taking taylor expansion of (* a c) in b 12.469 * [taylor]: Taking taylor expansion of a in b 12.469 * [backup-simplify]: Simplify a into a 12.469 * [taylor]: Taking taylor expansion of c in b 12.469 * [backup-simplify]: Simplify c into c 12.469 * [backup-simplify]: Simplify (* a c) into (* a c) 12.469 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 12.469 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b 12.469 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 12.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 12.469 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 12.469 * [taylor]: Taking taylor expansion of (pow c 2) in b 12.469 * [taylor]: Taking taylor expansion of c in b 12.469 * [backup-simplify]: Simplify c into c 12.469 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.469 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 12.469 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 12.469 * [taylor]: Taking taylor expansion of (pow d 2) in b 12.469 * [taylor]: Taking taylor expansion of d in b 12.469 * [backup-simplify]: Simplify d into d 12.469 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.469 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.470 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 12.470 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 12.470 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 12.470 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 12.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 12.470 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 12.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 12.470 * [backup-simplify]: Simplify (+ 0 0) into 0 12.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 12.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 12.471 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c 12.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 12.471 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 12.471 * [taylor]: Taking taylor expansion of (* b d) in c 12.471 * [taylor]: Taking taylor expansion of b in c 12.471 * [backup-simplify]: Simplify b into b 12.471 * [taylor]: Taking taylor expansion of d in c 12.471 * [backup-simplify]: Simplify d into d 12.471 * [backup-simplify]: Simplify (* b d) into (* b d) 12.471 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 12.471 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 12.471 * [taylor]: Taking taylor expansion of (* a c) in c 12.471 * [taylor]: Taking taylor expansion of a in c 12.471 * [backup-simplify]: Simplify a into a 12.471 * [taylor]: Taking taylor expansion of c in c 12.471 * [backup-simplify]: Simplify 0 into 0 12.471 * [backup-simplify]: Simplify 1 into 1 12.471 * [backup-simplify]: Simplify (* a 0) into 0 12.471 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 12.471 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.471 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 12.471 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 12.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 12.471 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 12.471 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.471 * [taylor]: Taking taylor expansion of c in c 12.471 * [backup-simplify]: Simplify 0 into 0 12.471 * [backup-simplify]: Simplify 1 into 1 12.472 * [backup-simplify]: Simplify (* 1 1) into 1 12.472 * [backup-simplify]: Simplify (/ 1 1) into 1 12.472 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 12.472 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.472 * [taylor]: Taking taylor expansion of d in c 12.472 * [backup-simplify]: Simplify d into d 12.472 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.472 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.472 * [backup-simplify]: Simplify (+ 1 0) into 1 12.473 * [backup-simplify]: Simplify (/ 1 1) into 1 12.473 * [backup-simplify]: Simplify (sqrt 1) into 1 12.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.474 * [backup-simplify]: Simplify (+ 0 0) into 0 12.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.475 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a 12.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 12.475 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 12.475 * [taylor]: Taking taylor expansion of (* b d) in a 12.475 * [taylor]: Taking taylor expansion of b in a 12.475 * [backup-simplify]: Simplify b into b 12.475 * [taylor]: Taking taylor expansion of d in a 12.475 * [backup-simplify]: Simplify d into d 12.475 * [backup-simplify]: Simplify (* b d) into (* b d) 12.475 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 12.475 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 12.475 * [taylor]: Taking taylor expansion of (* a c) in a 12.475 * [taylor]: Taking taylor expansion of a in a 12.475 * [backup-simplify]: Simplify 0 into 0 12.475 * [backup-simplify]: Simplify 1 into 1 12.475 * [taylor]: Taking taylor expansion of c in a 12.475 * [backup-simplify]: Simplify c into c 12.475 * [backup-simplify]: Simplify (* 0 c) into 0 12.475 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 12.475 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 12.475 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a 12.476 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 12.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 12.476 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 12.476 * [taylor]: Taking taylor expansion of (pow c 2) in a 12.476 * [taylor]: Taking taylor expansion of c in a 12.476 * [backup-simplify]: Simplify c into c 12.476 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.476 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 12.476 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 12.476 * [taylor]: Taking taylor expansion of (pow d 2) in a 12.476 * [taylor]: Taking taylor expansion of d in a 12.476 * [backup-simplify]: Simplify d into d 12.476 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.476 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.476 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 12.476 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 12.476 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 12.476 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 12.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 12.476 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 12.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 12.477 * [backup-simplify]: Simplify (+ 0 0) into 0 12.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 12.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 12.477 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a 12.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 12.477 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 12.477 * [taylor]: Taking taylor expansion of (* b d) in a 12.477 * [taylor]: Taking taylor expansion of b in a 12.477 * [backup-simplify]: Simplify b into b 12.477 * [taylor]: Taking taylor expansion of d in a 12.477 * [backup-simplify]: Simplify d into d 12.477 * [backup-simplify]: Simplify (* b d) into (* b d) 12.477 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 12.477 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 12.477 * [taylor]: Taking taylor expansion of (* a c) in a 12.477 * [taylor]: Taking taylor expansion of a in a 12.477 * [backup-simplify]: Simplify 0 into 0 12.477 * [backup-simplify]: Simplify 1 into 1 12.477 * [taylor]: Taking taylor expansion of c in a 12.477 * [backup-simplify]: Simplify c into c 12.477 * [backup-simplify]: Simplify (* 0 c) into 0 12.478 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 12.478 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 12.478 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a 12.478 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 12.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 12.478 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 12.478 * [taylor]: Taking taylor expansion of (pow c 2) in a 12.478 * [taylor]: Taking taylor expansion of c in a 12.478 * [backup-simplify]: Simplify c into c 12.478 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.478 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 12.478 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 12.478 * [taylor]: Taking taylor expansion of (pow d 2) in a 12.478 * [taylor]: Taking taylor expansion of d in a 12.478 * [backup-simplify]: Simplify d into d 12.478 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.478 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.478 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 12.478 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 12.478 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 12.479 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 12.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 12.479 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 12.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 12.479 * [backup-simplify]: Simplify (+ 0 0) into 0 12.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 12.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 12.480 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 12.480 * [backup-simplify]: Simplify (* (/ 1 c) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) 12.480 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c 12.480 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 12.480 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 12.480 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 12.480 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 12.480 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.480 * [taylor]: Taking taylor expansion of c in c 12.480 * [backup-simplify]: Simplify 0 into 0 12.480 * [backup-simplify]: Simplify 1 into 1 12.480 * [backup-simplify]: Simplify (* 1 1) into 1 12.480 * [backup-simplify]: Simplify (/ 1 1) into 1 12.480 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 12.480 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.480 * [taylor]: Taking taylor expansion of d in c 12.480 * [backup-simplify]: Simplify d into d 12.480 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.481 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.481 * [backup-simplify]: Simplify (+ 1 0) into 1 12.481 * [backup-simplify]: Simplify (/ 1 1) into 1 12.481 * [backup-simplify]: Simplify (sqrt 1) into 1 12.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.483 * [backup-simplify]: Simplify (+ 0 0) into 0 12.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.483 * [taylor]: Taking taylor expansion of (/ 1 c) in c 12.483 * [taylor]: Taking taylor expansion of c in c 12.483 * [backup-simplify]: Simplify 0 into 0 12.484 * [backup-simplify]: Simplify 1 into 1 12.484 * [backup-simplify]: Simplify (/ 1 1) into 1 12.484 * [backup-simplify]: Simplify (* 1 1) into 1 12.484 * [taylor]: Taking taylor expansion of 1 in b 12.484 * [backup-simplify]: Simplify 1 into 1 12.485 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 12.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 12.485 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 12.485 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) 12.485 * [taylor]: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c 12.485 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 12.485 * [taylor]: Taking taylor expansion of (* b d) in c 12.485 * [taylor]: Taking taylor expansion of b in c 12.485 * [backup-simplify]: Simplify b into b 12.485 * [taylor]: Taking taylor expansion of d in c 12.485 * [backup-simplify]: Simplify d into d 12.485 * [backup-simplify]: Simplify (* b d) into (* b d) 12.485 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 12.485 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 12.485 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 12.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 12.485 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 12.485 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.485 * [taylor]: Taking taylor expansion of c in c 12.485 * [backup-simplify]: Simplify 0 into 0 12.485 * [backup-simplify]: Simplify 1 into 1 12.486 * [backup-simplify]: Simplify (* 1 1) into 1 12.486 * [backup-simplify]: Simplify (/ 1 1) into 1 12.486 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 12.486 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.486 * [taylor]: Taking taylor expansion of d in c 12.486 * [backup-simplify]: Simplify d into d 12.486 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.486 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.490 * [backup-simplify]: Simplify (+ 1 0) into 1 12.490 * [backup-simplify]: Simplify (/ 1 1) into 1 12.491 * [backup-simplify]: Simplify (sqrt 1) into 1 12.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.492 * [backup-simplify]: Simplify (+ 0 0) into 0 12.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.493 * [taylor]: Taking taylor expansion of 0 in b 12.493 * [backup-simplify]: Simplify 0 into 0 12.494 * [taylor]: Taking taylor expansion of 1 in d 12.494 * [backup-simplify]: Simplify 1 into 1 12.494 * [backup-simplify]: Simplify 1 into 1 12.494 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 12.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 12.494 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 12.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 12.495 * [backup-simplify]: Simplify (+ 0 0) into 0 12.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 12.496 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 12.496 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 12.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 12.497 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 12.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 12.497 * [backup-simplify]: Simplify (+ 0 0) into 0 12.497 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 12.497 * [taylor]: Taking taylor expansion of 0 in c 12.497 * [backup-simplify]: Simplify 0 into 0 12.497 * [taylor]: Taking taylor expansion of 0 in b 12.497 * [backup-simplify]: Simplify 0 into 0 12.497 * [backup-simplify]: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d)) 12.497 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 12.497 * [taylor]: Taking taylor expansion of (* b d) in b 12.497 * [taylor]: Taking taylor expansion of b in b 12.497 * [backup-simplify]: Simplify 0 into 0 12.497 * [backup-simplify]: Simplify 1 into 1 12.497 * [taylor]: Taking taylor expansion of d in b 12.497 * [backup-simplify]: Simplify d into d 12.497 * [backup-simplify]: Simplify (* 0 d) into 0 12.498 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 12.498 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 12.498 * [taylor]: Taking taylor expansion of (/ 1 d) in d 12.498 * [taylor]: Taking taylor expansion of d in d 12.498 * [backup-simplify]: Simplify 0 into 0 12.498 * [backup-simplify]: Simplify 1 into 1 12.498 * [backup-simplify]: Simplify (/ 1 1) into 1 12.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.499 * [backup-simplify]: Simplify 0 into 0 12.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.500 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 12.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) 12.501 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2)) 12.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2)))) 12.502 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b 12.502 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b 12.502 * [taylor]: Taking taylor expansion of 1/2 in b 12.502 * [backup-simplify]: Simplify 1/2 into 1/2 12.502 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 12.502 * [taylor]: Taking taylor expansion of (pow d 2) in b 12.502 * [taylor]: Taking taylor expansion of d in b 12.502 * [backup-simplify]: Simplify d into d 12.502 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.502 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.502 * [taylor]: Taking taylor expansion of 0 in d 12.502 * [backup-simplify]: Simplify 0 into 0 12.502 * [backup-simplify]: Simplify 0 into 0 12.502 * [taylor]: Taking taylor expansion of 0 in d 12.502 * [backup-simplify]: Simplify 0 into 0 12.502 * [backup-simplify]: Simplify 0 into 0 12.502 * [backup-simplify]: Simplify 0 into 0 12.503 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 12.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 12.504 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 12.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 12.504 * [backup-simplify]: Simplify (+ 0 0) into 0 12.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 12.505 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 12.505 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 12.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 12.506 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 12.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 12.507 * [backup-simplify]: Simplify (+ 0 0) into 0 12.507 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))))) into 0 12.507 * [taylor]: Taking taylor expansion of 0 in c 12.507 * [backup-simplify]: Simplify 0 into 0 12.507 * [taylor]: Taking taylor expansion of 0 in b 12.507 * [backup-simplify]: Simplify 0 into 0 12.507 * [taylor]: Taking taylor expansion of 0 in b 12.507 * [backup-simplify]: Simplify 0 into 0 12.507 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 12.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 12.508 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0 12.508 * [taylor]: Taking taylor expansion of 0 in b 12.508 * [backup-simplify]: Simplify 0 into 0 12.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.510 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 12.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 12.510 * [backup-simplify]: Simplify (+ 0 0) into 0 12.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 12.511 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0 12.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0 12.512 * [taylor]: Taking taylor expansion of 0 in b 12.512 * [backup-simplify]: Simplify 0 into 0 12.512 * [taylor]: Taking taylor expansion of 0 in d 12.512 * [backup-simplify]: Simplify 0 into 0 12.512 * [backup-simplify]: Simplify 0 into 0 12.513 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 12.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 12.513 * [taylor]: Taking taylor expansion of 0 in d 12.513 * [backup-simplify]: Simplify 0 into 0 12.513 * [backup-simplify]: Simplify 0 into 0 12.513 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 a)))))) into a 12.513 * [backup-simplify]: Simplify (* (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) into (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) 12.513 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in (a c b d) around 0 12.513 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d 12.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 12.513 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 12.513 * [taylor]: Taking taylor expansion of (* b d) in d 12.513 * [taylor]: Taking taylor expansion of b in d 12.513 * [backup-simplify]: Simplify b into b 12.513 * [taylor]: Taking taylor expansion of d in d 12.513 * [backup-simplify]: Simplify 0 into 0 12.513 * [backup-simplify]: Simplify 1 into 1 12.513 * [backup-simplify]: Simplify (* b 0) into 0 12.514 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 12.514 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.514 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 12.514 * [taylor]: Taking taylor expansion of (* a c) in d 12.514 * [taylor]: Taking taylor expansion of a in d 12.514 * [backup-simplify]: Simplify a into a 12.514 * [taylor]: Taking taylor expansion of c in d 12.514 * [backup-simplify]: Simplify c into c 12.514 * [backup-simplify]: Simplify (* a c) into (* a c) 12.514 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 12.514 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d 12.514 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 12.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 12.514 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 12.514 * [taylor]: Taking taylor expansion of (pow c 2) in d 12.514 * [taylor]: Taking taylor expansion of c in d 12.514 * [backup-simplify]: Simplify c into c 12.514 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.514 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 12.514 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 12.514 * [taylor]: Taking taylor expansion of (pow d 2) in d 12.514 * [taylor]: Taking taylor expansion of d in d 12.514 * [backup-simplify]: Simplify 0 into 0 12.514 * [backup-simplify]: Simplify 1 into 1 12.514 * [backup-simplify]: Simplify (* 1 1) into 1 12.515 * [backup-simplify]: Simplify (/ 1 1) into 1 12.515 * [backup-simplify]: Simplify (+ 0 1) into 1 12.515 * [backup-simplify]: Simplify (/ 1 1) into 1 12.515 * [backup-simplify]: Simplify (sqrt 1) into 1 12.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.516 * [backup-simplify]: Simplify (+ 0 0) into 0 12.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.517 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b 12.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 12.517 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 12.517 * [taylor]: Taking taylor expansion of (* b d) in b 12.517 * [taylor]: Taking taylor expansion of b in b 12.517 * [backup-simplify]: Simplify 0 into 0 12.517 * [backup-simplify]: Simplify 1 into 1 12.517 * [taylor]: Taking taylor expansion of d in b 12.517 * [backup-simplify]: Simplify d into d 12.517 * [backup-simplify]: Simplify (* 0 d) into 0 12.518 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 12.518 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 12.518 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 12.518 * [taylor]: Taking taylor expansion of (* a c) in b 12.518 * [taylor]: Taking taylor expansion of a in b 12.518 * [backup-simplify]: Simplify a into a 12.518 * [taylor]: Taking taylor expansion of c in b 12.518 * [backup-simplify]: Simplify c into c 12.518 * [backup-simplify]: Simplify (* a c) into (* a c) 12.518 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 12.518 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b 12.518 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 12.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 12.518 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 12.518 * [taylor]: Taking taylor expansion of (pow c 2) in b 12.518 * [taylor]: Taking taylor expansion of c in b 12.518 * [backup-simplify]: Simplify c into c 12.518 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.518 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 12.518 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 12.518 * [taylor]: Taking taylor expansion of (pow d 2) in b 12.518 * [taylor]: Taking taylor expansion of d in b 12.518 * [backup-simplify]: Simplify d into d 12.518 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.518 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.518 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 12.519 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 12.519 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 12.519 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 12.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 12.519 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 12.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 12.519 * [backup-simplify]: Simplify (+ 0 0) into 0 12.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 12.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 12.520 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c 12.520 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 12.520 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 12.520 * [taylor]: Taking taylor expansion of (* b d) in c 12.520 * [taylor]: Taking taylor expansion of b in c 12.520 * [backup-simplify]: Simplify b into b 12.520 * [taylor]: Taking taylor expansion of d in c 12.520 * [backup-simplify]: Simplify d into d 12.520 * [backup-simplify]: Simplify (* b d) into (* b d) 12.520 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 12.520 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 12.520 * [taylor]: Taking taylor expansion of (* a c) in c 12.520 * [taylor]: Taking taylor expansion of a in c 12.520 * [backup-simplify]: Simplify a into a 12.520 * [taylor]: Taking taylor expansion of c in c 12.520 * [backup-simplify]: Simplify 0 into 0 12.520 * [backup-simplify]: Simplify 1 into 1 12.520 * [backup-simplify]: Simplify (* a 0) into 0 12.520 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 12.520 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.520 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 12.520 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 12.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 12.521 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 12.521 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.521 * [taylor]: Taking taylor expansion of c in c 12.521 * [backup-simplify]: Simplify 0 into 0 12.521 * [backup-simplify]: Simplify 1 into 1 12.521 * [backup-simplify]: Simplify (* 1 1) into 1 12.521 * [backup-simplify]: Simplify (/ 1 1) into 1 12.521 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 12.521 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.521 * [taylor]: Taking taylor expansion of d in c 12.521 * [backup-simplify]: Simplify d into d 12.521 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.521 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.522 * [backup-simplify]: Simplify (+ 1 0) into 1 12.522 * [backup-simplify]: Simplify (/ 1 1) into 1 12.522 * [backup-simplify]: Simplify (sqrt 1) into 1 12.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.523 * [backup-simplify]: Simplify (+ 0 0) into 0 12.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.524 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a 12.524 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 12.524 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 12.524 * [taylor]: Taking taylor expansion of (* b d) in a 12.524 * [taylor]: Taking taylor expansion of b in a 12.524 * [backup-simplify]: Simplify b into b 12.524 * [taylor]: Taking taylor expansion of d in a 12.524 * [backup-simplify]: Simplify d into d 12.524 * [backup-simplify]: Simplify (* b d) into (* b d) 12.524 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 12.524 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 12.524 * [taylor]: Taking taylor expansion of (* a c) in a 12.524 * [taylor]: Taking taylor expansion of a in a 12.524 * [backup-simplify]: Simplify 0 into 0 12.524 * [backup-simplify]: Simplify 1 into 1 12.524 * [taylor]: Taking taylor expansion of c in a 12.524 * [backup-simplify]: Simplify c into c 12.524 * [backup-simplify]: Simplify (* 0 c) into 0 12.525 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 12.525 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 12.525 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a 12.525 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 12.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 12.525 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 12.525 * [taylor]: Taking taylor expansion of (pow c 2) in a 12.525 * [taylor]: Taking taylor expansion of c in a 12.525 * [backup-simplify]: Simplify c into c 12.525 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.525 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 12.525 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 12.525 * [taylor]: Taking taylor expansion of (pow d 2) in a 12.525 * [taylor]: Taking taylor expansion of d in a 12.525 * [backup-simplify]: Simplify d into d 12.525 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.525 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.525 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 12.525 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 12.525 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 12.525 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 12.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 12.526 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 12.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 12.526 * [backup-simplify]: Simplify (+ 0 0) into 0 12.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 12.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 12.526 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a 12.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 12.526 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 12.526 * [taylor]: Taking taylor expansion of (* b d) in a 12.526 * [taylor]: Taking taylor expansion of b in a 12.526 * [backup-simplify]: Simplify b into b 12.527 * [taylor]: Taking taylor expansion of d in a 12.527 * [backup-simplify]: Simplify d into d 12.527 * [backup-simplify]: Simplify (* b d) into (* b d) 12.527 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 12.527 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 12.527 * [taylor]: Taking taylor expansion of (* a c) in a 12.527 * [taylor]: Taking taylor expansion of a in a 12.527 * [backup-simplify]: Simplify 0 into 0 12.527 * [backup-simplify]: Simplify 1 into 1 12.527 * [taylor]: Taking taylor expansion of c in a 12.527 * [backup-simplify]: Simplify c into c 12.527 * [backup-simplify]: Simplify (* 0 c) into 0 12.527 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 12.527 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 12.527 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a 12.527 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 12.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 12.527 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 12.527 * [taylor]: Taking taylor expansion of (pow c 2) in a 12.527 * [taylor]: Taking taylor expansion of c in a 12.527 * [backup-simplify]: Simplify c into c 12.527 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.527 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 12.527 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 12.527 * [taylor]: Taking taylor expansion of (pow d 2) in a 12.527 * [taylor]: Taking taylor expansion of d in a 12.527 * [backup-simplify]: Simplify d into d 12.527 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.527 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.528 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 12.528 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 12.528 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 12.528 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 12.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 12.528 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 12.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 12.528 * [backup-simplify]: Simplify (+ 0 0) into 0 12.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 12.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 12.529 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 12.529 * [backup-simplify]: Simplify (* (/ 1 c) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) 12.529 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c 12.529 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 12.529 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 12.529 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 12.529 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 12.529 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.529 * [taylor]: Taking taylor expansion of c in c 12.529 * [backup-simplify]: Simplify 0 into 0 12.529 * [backup-simplify]: Simplify 1 into 1 12.529 * [backup-simplify]: Simplify (* 1 1) into 1 12.530 * [backup-simplify]: Simplify (/ 1 1) into 1 12.530 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 12.530 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.530 * [taylor]: Taking taylor expansion of d in c 12.530 * [backup-simplify]: Simplify d into d 12.530 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.530 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.530 * [backup-simplify]: Simplify (+ 1 0) into 1 12.530 * [backup-simplify]: Simplify (/ 1 1) into 1 12.531 * [backup-simplify]: Simplify (sqrt 1) into 1 12.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.532 * [backup-simplify]: Simplify (+ 0 0) into 0 12.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.533 * [taylor]: Taking taylor expansion of (/ 1 c) in c 12.533 * [taylor]: Taking taylor expansion of c in c 12.533 * [backup-simplify]: Simplify 0 into 0 12.533 * [backup-simplify]: Simplify 1 into 1 12.533 * [backup-simplify]: Simplify (/ 1 1) into 1 12.534 * [backup-simplify]: Simplify (* 1 1) into 1 12.534 * [taylor]: Taking taylor expansion of 1 in b 12.534 * [backup-simplify]: Simplify 1 into 1 12.534 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 12.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 12.534 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 12.535 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) 12.535 * [taylor]: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c 12.535 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 12.535 * [taylor]: Taking taylor expansion of (* b d) in c 12.535 * [taylor]: Taking taylor expansion of b in c 12.535 * [backup-simplify]: Simplify b into b 12.535 * [taylor]: Taking taylor expansion of d in c 12.535 * [backup-simplify]: Simplify d into d 12.535 * [backup-simplify]: Simplify (* b d) into (* b d) 12.535 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 12.535 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 12.535 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 12.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 12.535 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 12.535 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.535 * [taylor]: Taking taylor expansion of c in c 12.535 * [backup-simplify]: Simplify 0 into 0 12.535 * [backup-simplify]: Simplify 1 into 1 12.535 * [backup-simplify]: Simplify (* 1 1) into 1 12.536 * [backup-simplify]: Simplify (/ 1 1) into 1 12.536 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 12.536 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.536 * [taylor]: Taking taylor expansion of d in c 12.536 * [backup-simplify]: Simplify d into d 12.536 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.536 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.536 * [backup-simplify]: Simplify (+ 1 0) into 1 12.536 * [backup-simplify]: Simplify (/ 1 1) into 1 12.537 * [backup-simplify]: Simplify (sqrt 1) into 1 12.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.538 * [backup-simplify]: Simplify (+ 0 0) into 0 12.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.539 * [taylor]: Taking taylor expansion of 0 in b 12.539 * [backup-simplify]: Simplify 0 into 0 12.539 * [taylor]: Taking taylor expansion of 1 in d 12.539 * [backup-simplify]: Simplify 1 into 1 12.539 * [backup-simplify]: Simplify 1 into 1 12.540 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 12.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 12.540 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 12.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 12.541 * [backup-simplify]: Simplify (+ 0 0) into 0 12.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 12.542 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 12.542 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 12.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 12.542 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 12.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 12.543 * [backup-simplify]: Simplify (+ 0 0) into 0 12.543 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 12.543 * [taylor]: Taking taylor expansion of 0 in c 12.543 * [backup-simplify]: Simplify 0 into 0 12.543 * [taylor]: Taking taylor expansion of 0 in b 12.543 * [backup-simplify]: Simplify 0 into 0 12.543 * [backup-simplify]: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d)) 12.543 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 12.543 * [taylor]: Taking taylor expansion of (* b d) in b 12.543 * [taylor]: Taking taylor expansion of b in b 12.543 * [backup-simplify]: Simplify 0 into 0 12.543 * [backup-simplify]: Simplify 1 into 1 12.543 * [taylor]: Taking taylor expansion of d in b 12.543 * [backup-simplify]: Simplify d into d 12.543 * [backup-simplify]: Simplify (* 0 d) into 0 12.544 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 12.544 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 12.544 * [taylor]: Taking taylor expansion of (/ 1 d) in d 12.544 * [taylor]: Taking taylor expansion of d in d 12.544 * [backup-simplify]: Simplify 0 into 0 12.544 * [backup-simplify]: Simplify 1 into 1 12.544 * [backup-simplify]: Simplify (/ 1 1) into 1 12.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.544 * [backup-simplify]: Simplify 0 into 0 12.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.546 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 12.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) 12.548 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2)) 12.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2)))) 12.548 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b 12.548 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b 12.548 * [taylor]: Taking taylor expansion of 1/2 in b 12.548 * [backup-simplify]: Simplify 1/2 into 1/2 12.548 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 12.548 * [taylor]: Taking taylor expansion of (pow d 2) in b 12.548 * [taylor]: Taking taylor expansion of d in b 12.548 * [backup-simplify]: Simplify d into d 12.548 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.548 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.548 * [taylor]: Taking taylor expansion of 0 in d 12.548 * [backup-simplify]: Simplify 0 into 0 12.548 * [backup-simplify]: Simplify 0 into 0 12.549 * [taylor]: Taking taylor expansion of 0 in d 12.549 * [backup-simplify]: Simplify 0 into 0 12.549 * [backup-simplify]: Simplify 0 into 0 12.549 * [backup-simplify]: Simplify 0 into 0 12.549 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 12.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 12.550 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 12.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 12.550 * [backup-simplify]: Simplify (+ 0 0) into 0 12.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 12.551 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 12.552 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 12.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 12.553 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 12.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 12.553 * [backup-simplify]: Simplify (+ 0 0) into 0 12.553 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))))) into 0 12.554 * [taylor]: Taking taylor expansion of 0 in c 12.554 * [backup-simplify]: Simplify 0 into 0 12.554 * [taylor]: Taking taylor expansion of 0 in b 12.554 * [backup-simplify]: Simplify 0 into 0 12.554 * [taylor]: Taking taylor expansion of 0 in b 12.554 * [backup-simplify]: Simplify 0 into 0 12.554 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 12.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 12.554 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0 12.554 * [taylor]: Taking taylor expansion of 0 in b 12.554 * [backup-simplify]: Simplify 0 into 0 12.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.556 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 12.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 12.556 * [backup-simplify]: Simplify (+ 0 0) into 0 12.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 12.557 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0 12.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0 12.558 * [taylor]: Taking taylor expansion of 0 in b 12.558 * [backup-simplify]: Simplify 0 into 0 12.558 * [taylor]: Taking taylor expansion of 0 in d 12.558 * [backup-simplify]: Simplify 0 into 0 12.558 * [backup-simplify]: Simplify 0 into 0 12.559 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 12.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 12.559 * [taylor]: Taking taylor expansion of 0 in d 12.559 * [backup-simplify]: Simplify 0 into 0 12.559 * [backup-simplify]: Simplify 0 into 0 12.559 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- a))))))) into (* -1 a) 12.559 * * * * [progress]: [ 4 / 4 ] generating series at (2) 12.559 * [backup-simplify]: Simplify (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) into (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) 12.559 * [approximate]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in (a c b d) around 0 12.559 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in d 12.559 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d 12.559 * [taylor]: Taking taylor expansion of (* a c) in d 12.559 * [taylor]: Taking taylor expansion of a in d 12.559 * [backup-simplify]: Simplify a into a 12.559 * [taylor]: Taking taylor expansion of c in d 12.559 * [backup-simplify]: Simplify c into c 12.560 * [taylor]: Taking taylor expansion of (* b d) in d 12.560 * [taylor]: Taking taylor expansion of b in d 12.560 * [backup-simplify]: Simplify b into b 12.560 * [taylor]: Taking taylor expansion of d in d 12.560 * [backup-simplify]: Simplify 0 into 0 12.560 * [backup-simplify]: Simplify 1 into 1 12.560 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 12.560 * [taylor]: Taking taylor expansion of (pow c 2) in d 12.560 * [taylor]: Taking taylor expansion of c in d 12.560 * [backup-simplify]: Simplify c into c 12.560 * [taylor]: Taking taylor expansion of (pow d 2) in d 12.560 * [taylor]: Taking taylor expansion of d in d 12.560 * [backup-simplify]: Simplify 0 into 0 12.560 * [backup-simplify]: Simplify 1 into 1 12.560 * [backup-simplify]: Simplify (* a c) into (* a c) 12.560 * [backup-simplify]: Simplify (* b 0) into 0 12.560 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c) 12.560 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.560 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 12.560 * [backup-simplify]: Simplify (/ (* a c) (pow c 2)) into (/ a c) 12.560 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in b 12.560 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b 12.560 * [taylor]: Taking taylor expansion of (* a c) in b 12.560 * [taylor]: Taking taylor expansion of a in b 12.560 * [backup-simplify]: Simplify a into a 12.560 * [taylor]: Taking taylor expansion of c in b 12.560 * [backup-simplify]: Simplify c into c 12.560 * [taylor]: Taking taylor expansion of (* b d) in b 12.560 * [taylor]: Taking taylor expansion of b in b 12.560 * [backup-simplify]: Simplify 0 into 0 12.560 * [backup-simplify]: Simplify 1 into 1 12.560 * [taylor]: Taking taylor expansion of d in b 12.560 * [backup-simplify]: Simplify d into d 12.560 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b 12.560 * [taylor]: Taking taylor expansion of (pow c 2) in b 12.560 * [taylor]: Taking taylor expansion of c in b 12.560 * [backup-simplify]: Simplify c into c 12.560 * [taylor]: Taking taylor expansion of (pow d 2) in b 12.560 * [taylor]: Taking taylor expansion of d in b 12.560 * [backup-simplify]: Simplify d into d 12.560 * [backup-simplify]: Simplify (* a c) into (* a c) 12.560 * [backup-simplify]: Simplify (* 0 d) into 0 12.560 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c) 12.560 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.560 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.561 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 12.561 * [backup-simplify]: Simplify (/ (* a c) (+ (pow c 2) (pow d 2))) into (/ (* a c) (+ (pow c 2) (pow d 2))) 12.561 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in c 12.561 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c 12.561 * [taylor]: Taking taylor expansion of (* a c) in c 12.561 * [taylor]: Taking taylor expansion of a in c 12.561 * [backup-simplify]: Simplify a into a 12.561 * [taylor]: Taking taylor expansion of c in c 12.561 * [backup-simplify]: Simplify 0 into 0 12.561 * [backup-simplify]: Simplify 1 into 1 12.561 * [taylor]: Taking taylor expansion of (* b d) in c 12.561 * [taylor]: Taking taylor expansion of b in c 12.561 * [backup-simplify]: Simplify b into b 12.561 * [taylor]: Taking taylor expansion of d in c 12.561 * [backup-simplify]: Simplify d into d 12.561 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 12.561 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.561 * [taylor]: Taking taylor expansion of c in c 12.561 * [backup-simplify]: Simplify 0 into 0 12.561 * [backup-simplify]: Simplify 1 into 1 12.561 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.561 * [taylor]: Taking taylor expansion of d in c 12.561 * [backup-simplify]: Simplify d into d 12.561 * [backup-simplify]: Simplify (* a 0) into 0 12.561 * [backup-simplify]: Simplify (* b d) into (* b d) 12.561 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 12.561 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.561 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 12.561 * [backup-simplify]: Simplify (/ (* b d) (pow d 2)) into (/ b d) 12.561 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in a 12.561 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 12.561 * [taylor]: Taking taylor expansion of (* a c) in a 12.561 * [taylor]: Taking taylor expansion of a in a 12.561 * [backup-simplify]: Simplify 0 into 0 12.561 * [backup-simplify]: Simplify 1 into 1 12.561 * [taylor]: Taking taylor expansion of c in a 12.561 * [backup-simplify]: Simplify c into c 12.561 * [taylor]: Taking taylor expansion of (* b d) in a 12.561 * [taylor]: Taking taylor expansion of b in a 12.561 * [backup-simplify]: Simplify b into b 12.561 * [taylor]: Taking taylor expansion of d in a 12.561 * [backup-simplify]: Simplify d into d 12.561 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a 12.562 * [taylor]: Taking taylor expansion of (pow c 2) in a 12.562 * [taylor]: Taking taylor expansion of c in a 12.562 * [backup-simplify]: Simplify c into c 12.562 * [taylor]: Taking taylor expansion of (pow d 2) in a 12.562 * [taylor]: Taking taylor expansion of d in a 12.562 * [backup-simplify]: Simplify d into d 12.562 * [backup-simplify]: Simplify (* 0 c) into 0 12.562 * [backup-simplify]: Simplify (* b d) into (* b d) 12.562 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 12.562 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.562 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.562 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 12.562 * [backup-simplify]: Simplify (/ (* b d) (+ (pow c 2) (pow d 2))) into (/ (* b d) (+ (pow c 2) (pow d 2))) 12.562 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in a 12.562 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 12.562 * [taylor]: Taking taylor expansion of (* a c) in a 12.562 * [taylor]: Taking taylor expansion of a in a 12.562 * [backup-simplify]: Simplify 0 into 0 12.562 * [backup-simplify]: Simplify 1 into 1 12.562 * [taylor]: Taking taylor expansion of c in a 12.562 * [backup-simplify]: Simplify c into c 12.562 * [taylor]: Taking taylor expansion of (* b d) in a 12.562 * [taylor]: Taking taylor expansion of b in a 12.562 * [backup-simplify]: Simplify b into b 12.562 * [taylor]: Taking taylor expansion of d in a 12.562 * [backup-simplify]: Simplify d into d 12.562 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a 12.562 * [taylor]: Taking taylor expansion of (pow c 2) in a 12.562 * [taylor]: Taking taylor expansion of c in a 12.562 * [backup-simplify]: Simplify c into c 12.562 * [taylor]: Taking taylor expansion of (pow d 2) in a 12.562 * [taylor]: Taking taylor expansion of d in a 12.562 * [backup-simplify]: Simplify d into d 12.562 * [backup-simplify]: Simplify (* 0 c) into 0 12.562 * [backup-simplify]: Simplify (* b d) into (* b d) 12.562 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 12.562 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.562 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.563 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 12.563 * [backup-simplify]: Simplify (/ (* b d) (+ (pow c 2) (pow d 2))) into (/ (* b d) (+ (pow c 2) (pow d 2))) 12.563 * [taylor]: Taking taylor expansion of (/ (* b d) (+ (pow c 2) (pow d 2))) in c 12.563 * [taylor]: Taking taylor expansion of (* b d) in c 12.563 * [taylor]: Taking taylor expansion of b in c 12.563 * [backup-simplify]: Simplify b into b 12.563 * [taylor]: Taking taylor expansion of d in c 12.563 * [backup-simplify]: Simplify d into d 12.563 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 12.563 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.563 * [taylor]: Taking taylor expansion of c in c 12.563 * [backup-simplify]: Simplify 0 into 0 12.563 * [backup-simplify]: Simplify 1 into 1 12.563 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.563 * [taylor]: Taking taylor expansion of d in c 12.563 * [backup-simplify]: Simplify d into d 12.563 * [backup-simplify]: Simplify (* b d) into (* b d) 12.563 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.563 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 12.563 * [backup-simplify]: Simplify (/ (* b d) (pow d 2)) into (/ b d) 12.563 * [taylor]: Taking taylor expansion of (/ b d) in b 12.563 * [taylor]: Taking taylor expansion of b in b 12.563 * [backup-simplify]: Simplify 0 into 0 12.563 * [backup-simplify]: Simplify 1 into 1 12.563 * [taylor]: Taking taylor expansion of d in b 12.563 * [backup-simplify]: Simplify d into d 12.563 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 12.564 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 12.564 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 12.564 * [backup-simplify]: Simplify (+ c 0) into c 12.564 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 12.564 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 12.564 * [backup-simplify]: Simplify (+ 0 0) into 0 12.564 * [backup-simplify]: Simplify (- (/ c (+ (pow c 2) (pow d 2))) (+ (* (/ (* b d) (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into (/ c (+ (pow c 2) (pow d 2))) 12.564 * [taylor]: Taking taylor expansion of (/ c (+ (pow c 2) (pow d 2))) in c 12.564 * [taylor]: Taking taylor expansion of c in c 12.564 * [backup-simplify]: Simplify 0 into 0 12.564 * [backup-simplify]: Simplify 1 into 1 12.564 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 12.564 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.564 * [taylor]: Taking taylor expansion of c in c 12.564 * [backup-simplify]: Simplify 0 into 0 12.564 * [backup-simplify]: Simplify 1 into 1 12.564 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.564 * [taylor]: Taking taylor expansion of d in c 12.564 * [backup-simplify]: Simplify d into d 12.565 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.565 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 12.565 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.565 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 12.565 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 12.565 * [backup-simplify]: Simplify (+ 0 0) into 0 12.565 * [backup-simplify]: Simplify (- (/ 0 (pow d 2)) (+ (* (/ b d) (/ 0 (pow d 2))))) into 0 12.565 * [taylor]: Taking taylor expansion of 0 in b 12.565 * [backup-simplify]: Simplify 0 into 0 12.565 * [taylor]: Taking taylor expansion of 0 in d 12.565 * [backup-simplify]: Simplify 0 into 0 12.565 * [backup-simplify]: Simplify 0 into 0 12.565 * [taylor]: Taking taylor expansion of (/ 1 d) in d 12.565 * [taylor]: Taking taylor expansion of d in d 12.565 * [backup-simplify]: Simplify 0 into 0 12.565 * [backup-simplify]: Simplify 1 into 1 12.566 * [backup-simplify]: Simplify (/ 1 1) into 1 12.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.566 * [backup-simplify]: Simplify 0 into 0 12.567 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 12.567 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 12.567 * [backup-simplify]: Simplify (+ 0 0) into 0 12.568 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 12.568 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 12.568 * [backup-simplify]: Simplify (+ 0 0) into 0 12.568 * [backup-simplify]: Simplify (- (/ 0 (+ (pow c 2) (pow d 2))) (+ (* (/ (* b d) (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))) (* (/ c (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 12.569 * [taylor]: Taking taylor expansion of 0 in c 12.569 * [backup-simplify]: Simplify 0 into 0 12.569 * [taylor]: Taking taylor expansion of 0 in b 12.569 * [backup-simplify]: Simplify 0 into 0 12.569 * [taylor]: Taking taylor expansion of 0 in d 12.569 * [backup-simplify]: Simplify 0 into 0 12.569 * [backup-simplify]: Simplify 0 into 0 12.569 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 12.569 * [taylor]: Taking taylor expansion of (pow d 2) in b 12.569 * [taylor]: Taking taylor expansion of d in b 12.569 * [backup-simplify]: Simplify d into d 12.569 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.569 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.569 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 12.569 * [taylor]: Taking taylor expansion of (pow d 2) in d 12.569 * [taylor]: Taking taylor expansion of d in d 12.569 * [backup-simplify]: Simplify 0 into 0 12.569 * [backup-simplify]: Simplify 1 into 1 12.569 * [backup-simplify]: Simplify (* 1 1) into 1 12.569 * [backup-simplify]: Simplify (/ 1 1) into 1 12.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.571 * [backup-simplify]: Simplify 0 into 0 12.572 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 12.572 * [backup-simplify]: Simplify (* 1 1) into 1 12.572 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 12.572 * [backup-simplify]: Simplify (+ 1 0) into 1 12.573 * [backup-simplify]: Simplify (- (/ 0 (pow d 2)) (+ (* (/ b d) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ b (pow d 3))) 12.573 * [taylor]: Taking taylor expansion of (- (/ b (pow d 3))) in b 12.573 * [taylor]: Taking taylor expansion of (/ b (pow d 3)) in b 12.573 * [taylor]: Taking taylor expansion of b in b 12.573 * [backup-simplify]: Simplify 0 into 0 12.573 * [backup-simplify]: Simplify 1 into 1 12.573 * [taylor]: Taking taylor expansion of (pow d 3) in b 12.573 * [taylor]: Taking taylor expansion of d in b 12.573 * [backup-simplify]: Simplify d into d 12.573 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.573 * [backup-simplify]: Simplify (* d (pow d 2)) into (pow d 3) 12.573 * [backup-simplify]: Simplify (/ 1 (pow d 3)) into (/ 1 (pow d 3)) 12.573 * [taylor]: Taking taylor expansion of 0 in d 12.573 * [backup-simplify]: Simplify 0 into 0 12.573 * [backup-simplify]: Simplify 0 into 0 12.573 * [backup-simplify]: Simplify (- (/ 0 d) (+ (* (/ 1 d) (/ 0 d)))) into 0 12.573 * [taylor]: Taking taylor expansion of 0 in d 12.573 * [backup-simplify]: Simplify 0 into 0 12.573 * [backup-simplify]: Simplify 0 into 0 12.573 * [backup-simplify]: Simplify 0 into 0 12.574 * [backup-simplify]: Simplify (/ (* (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) into (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 12.574 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (a c b d) around 0 12.574 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 12.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 12.574 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 12.574 * [taylor]: Taking taylor expansion of (* b d) in d 12.574 * [taylor]: Taking taylor expansion of b in d 12.574 * [backup-simplify]: Simplify b into b 12.574 * [taylor]: Taking taylor expansion of d in d 12.574 * [backup-simplify]: Simplify 0 into 0 12.574 * [backup-simplify]: Simplify 1 into 1 12.574 * [backup-simplify]: Simplify (* b 0) into 0 12.574 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 12.574 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.574 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 12.574 * [taylor]: Taking taylor expansion of (* a c) in d 12.574 * [taylor]: Taking taylor expansion of a in d 12.574 * [backup-simplify]: Simplify a into a 12.574 * [taylor]: Taking taylor expansion of c in d 12.574 * [backup-simplify]: Simplify c into c 12.574 * [backup-simplify]: Simplify (* a c) into (* a c) 12.574 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 12.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 12.574 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 12.574 * [taylor]: Taking taylor expansion of (pow c 2) in d 12.574 * [taylor]: Taking taylor expansion of c in d 12.574 * [backup-simplify]: Simplify c into c 12.574 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.574 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 12.574 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 12.575 * [taylor]: Taking taylor expansion of (pow d 2) in d 12.575 * [taylor]: Taking taylor expansion of d in d 12.575 * [backup-simplify]: Simplify 0 into 0 12.575 * [backup-simplify]: Simplify 1 into 1 12.575 * [backup-simplify]: Simplify (* 1 1) into 1 12.575 * [backup-simplify]: Simplify (/ 1 1) into 1 12.575 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 12.575 * [backup-simplify]: Simplify (+ 0 1) into 1 12.575 * [backup-simplify]: Simplify (/ (/ 1 b) 1) into (/ 1 b) 12.575 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 12.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 12.575 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 12.576 * [taylor]: Taking taylor expansion of (* b d) in b 12.576 * [taylor]: Taking taylor expansion of b in b 12.576 * [backup-simplify]: Simplify 0 into 0 12.576 * [backup-simplify]: Simplify 1 into 1 12.576 * [taylor]: Taking taylor expansion of d in b 12.576 * [backup-simplify]: Simplify d into d 12.576 * [backup-simplify]: Simplify (* 0 d) into 0 12.576 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 12.576 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 12.576 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 12.576 * [taylor]: Taking taylor expansion of (* a c) in b 12.576 * [taylor]: Taking taylor expansion of a in b 12.576 * [backup-simplify]: Simplify a into a 12.576 * [taylor]: Taking taylor expansion of c in b 12.576 * [backup-simplify]: Simplify c into c 12.576 * [backup-simplify]: Simplify (* a c) into (* a c) 12.576 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 12.576 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 12.576 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 12.576 * [taylor]: Taking taylor expansion of (pow c 2) in b 12.576 * [taylor]: Taking taylor expansion of c in b 12.576 * [backup-simplify]: Simplify c into c 12.576 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.576 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 12.576 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 12.576 * [taylor]: Taking taylor expansion of (pow d 2) in b 12.576 * [taylor]: Taking taylor expansion of d in b 12.576 * [backup-simplify]: Simplify d into d 12.576 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.576 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.576 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 12.577 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 12.577 * [backup-simplify]: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) 12.577 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 12.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 12.577 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 12.577 * [taylor]: Taking taylor expansion of (* b d) in c 12.577 * [taylor]: Taking taylor expansion of b in c 12.577 * [backup-simplify]: Simplify b into b 12.577 * [taylor]: Taking taylor expansion of d in c 12.577 * [backup-simplify]: Simplify d into d 12.577 * [backup-simplify]: Simplify (* b d) into (* b d) 12.577 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 12.577 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 12.577 * [taylor]: Taking taylor expansion of (* a c) in c 12.577 * [taylor]: Taking taylor expansion of a in c 12.577 * [backup-simplify]: Simplify a into a 12.577 * [taylor]: Taking taylor expansion of c in c 12.577 * [backup-simplify]: Simplify 0 into 0 12.577 * [backup-simplify]: Simplify 1 into 1 12.577 * [backup-simplify]: Simplify (* a 0) into 0 12.577 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 12.577 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 12.577 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 12.577 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.577 * [taylor]: Taking taylor expansion of c in c 12.577 * [backup-simplify]: Simplify 0 into 0 12.578 * [backup-simplify]: Simplify 1 into 1 12.578 * [backup-simplify]: Simplify (* 1 1) into 1 12.578 * [backup-simplify]: Simplify (/ 1 1) into 1 12.578 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 12.578 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.578 * [taylor]: Taking taylor expansion of d in c 12.578 * [backup-simplify]: Simplify d into d 12.578 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.578 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.578 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 12.578 * [backup-simplify]: Simplify (+ 1 0) into 1 12.579 * [backup-simplify]: Simplify (/ (/ 1 a) 1) into (/ 1 a) 12.579 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 12.579 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 12.579 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 12.579 * [taylor]: Taking taylor expansion of (* b d) in a 12.579 * [taylor]: Taking taylor expansion of b in a 12.579 * [backup-simplify]: Simplify b into b 12.579 * [taylor]: Taking taylor expansion of d in a 12.579 * [backup-simplify]: Simplify d into d 12.579 * [backup-simplify]: Simplify (* b d) into (* b d) 12.579 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 12.579 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 12.579 * [taylor]: Taking taylor expansion of (* a c) in a 12.579 * [taylor]: Taking taylor expansion of a in a 12.579 * [backup-simplify]: Simplify 0 into 0 12.579 * [backup-simplify]: Simplify 1 into 1 12.579 * [taylor]: Taking taylor expansion of c in a 12.579 * [backup-simplify]: Simplify c into c 12.579 * [backup-simplify]: Simplify (* 0 c) into 0 12.579 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 12.579 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 12.579 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 12.579 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 12.579 * [taylor]: Taking taylor expansion of (pow c 2) in a 12.579 * [taylor]: Taking taylor expansion of c in a 12.579 * [backup-simplify]: Simplify c into c 12.579 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.579 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 12.579 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 12.579 * [taylor]: Taking taylor expansion of (pow d 2) in a 12.580 * [taylor]: Taking taylor expansion of d in a 12.580 * [backup-simplify]: Simplify d into d 12.580 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.580 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.580 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 12.580 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 12.580 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) 12.580 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 12.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 12.580 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 12.580 * [taylor]: Taking taylor expansion of (* b d) in a 12.580 * [taylor]: Taking taylor expansion of b in a 12.580 * [backup-simplify]: Simplify b into b 12.580 * [taylor]: Taking taylor expansion of d in a 12.580 * [backup-simplify]: Simplify d into d 12.580 * [backup-simplify]: Simplify (* b d) into (* b d) 12.580 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 12.580 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 12.580 * [taylor]: Taking taylor expansion of (* a c) in a 12.580 * [taylor]: Taking taylor expansion of a in a 12.580 * [backup-simplify]: Simplify 0 into 0 12.580 * [backup-simplify]: Simplify 1 into 1 12.580 * [taylor]: Taking taylor expansion of c in a 12.580 * [backup-simplify]: Simplify c into c 12.580 * [backup-simplify]: Simplify (* 0 c) into 0 12.581 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 12.581 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 12.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 12.581 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 12.581 * [taylor]: Taking taylor expansion of (pow c 2) in a 12.581 * [taylor]: Taking taylor expansion of c in a 12.581 * [backup-simplify]: Simplify c into c 12.581 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.581 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 12.581 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 12.581 * [taylor]: Taking taylor expansion of (pow d 2) in a 12.581 * [taylor]: Taking taylor expansion of d in a 12.581 * [backup-simplify]: Simplify d into d 12.581 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.581 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.581 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 12.581 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 12.581 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) 12.581 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c 12.581 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c 12.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 12.581 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 12.581 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.581 * [taylor]: Taking taylor expansion of c in c 12.581 * [backup-simplify]: Simplify 0 into 0 12.582 * [backup-simplify]: Simplify 1 into 1 12.585 * [backup-simplify]: Simplify (* 1 1) into 1 12.586 * [backup-simplify]: Simplify (/ 1 1) into 1 12.586 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 12.586 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.586 * [taylor]: Taking taylor expansion of d in c 12.586 * [backup-simplify]: Simplify d into d 12.586 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.586 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.586 * [taylor]: Taking taylor expansion of c in c 12.586 * [backup-simplify]: Simplify 0 into 0 12.586 * [backup-simplify]: Simplify 1 into 1 12.586 * [backup-simplify]: Simplify (+ 1 0) into 1 12.587 * [backup-simplify]: Simplify (* 1 0) into 0 12.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.588 * [backup-simplify]: Simplify (+ 0 0) into 0 12.588 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 12.589 * [backup-simplify]: Simplify (/ 1 1) into 1 12.589 * [taylor]: Taking taylor expansion of 1 in b 12.589 * [backup-simplify]: Simplify 1 into 1 12.589 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 12.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 12.589 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 12.589 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 12.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 12.590 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 12.590 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 12.590 * [backup-simplify]: Simplify (+ 0 0) into 0 12.590 * [backup-simplify]: Simplify (- (/ (/ 1 (* b d)) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) 12.590 * [taylor]: Taking taylor expansion of (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c 12.590 * [taylor]: Taking taylor expansion of (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c 12.590 * [taylor]: Taking taylor expansion of b in c 12.590 * [backup-simplify]: Simplify b into b 12.590 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c 12.590 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 12.590 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 12.590 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.590 * [taylor]: Taking taylor expansion of c in c 12.590 * [backup-simplify]: Simplify 0 into 0 12.590 * [backup-simplify]: Simplify 1 into 1 12.591 * [backup-simplify]: Simplify (* 1 1) into 1 12.591 * [backup-simplify]: Simplify (/ 1 1) into 1 12.591 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 12.591 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.591 * [taylor]: Taking taylor expansion of d in c 12.591 * [backup-simplify]: Simplify d into d 12.591 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.591 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.591 * [taylor]: Taking taylor expansion of d in c 12.591 * [backup-simplify]: Simplify d into d 12.591 * [backup-simplify]: Simplify (+ 1 0) into 1 12.591 * [backup-simplify]: Simplify (* 1 d) into d 12.592 * [backup-simplify]: Simplify (* b d) into (* b d) 12.592 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 12.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.593 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 12.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) into 0 12.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.594 * [taylor]: Taking taylor expansion of 0 in b 12.594 * [backup-simplify]: Simplify 0 into 0 12.594 * [taylor]: Taking taylor expansion of 1 in d 12.594 * [backup-simplify]: Simplify 1 into 1 12.594 * [backup-simplify]: Simplify 0 into 0 12.594 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 12.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 12.595 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 12.595 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 12.595 * [backup-simplify]: Simplify (+ 0 0) into 0 12.595 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 12.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 12.596 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 12.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 12.596 * [backup-simplify]: Simplify (+ 0 0) into 0 12.597 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 12.597 * [taylor]: Taking taylor expansion of 0 in c 12.597 * [backup-simplify]: Simplify 0 into 0 12.597 * [taylor]: Taking taylor expansion of 0 in b 12.597 * [backup-simplify]: Simplify 0 into 0 12.597 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 12.597 * [taylor]: Taking taylor expansion of (* b d) in b 12.597 * [taylor]: Taking taylor expansion of b in b 12.597 * [backup-simplify]: Simplify 0 into 0 12.597 * [backup-simplify]: Simplify 1 into 1 12.597 * [taylor]: Taking taylor expansion of d in b 12.597 * [backup-simplify]: Simplify d into d 12.597 * [backup-simplify]: Simplify (* 0 d) into 0 12.597 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 12.597 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 12.598 * [taylor]: Taking taylor expansion of (/ 1 d) in d 12.598 * [taylor]: Taking taylor expansion of d in d 12.598 * [backup-simplify]: Simplify 0 into 0 12.598 * [backup-simplify]: Simplify 1 into 1 12.598 * [backup-simplify]: Simplify (/ 1 1) into 1 12.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.599 * [backup-simplify]: Simplify 0 into 0 12.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.600 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 12.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 12.600 * [backup-simplify]: Simplify (+ 0 0) into 0 12.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2)) 12.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) 12.602 * [taylor]: Taking taylor expansion of (- (/ 1 (pow d 2))) in b 12.602 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 12.602 * [taylor]: Taking taylor expansion of (pow d 2) in b 12.602 * [taylor]: Taking taylor expansion of d in b 12.602 * [backup-simplify]: Simplify d into d 12.602 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.602 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.602 * [taylor]: Taking taylor expansion of 0 in d 12.602 * [backup-simplify]: Simplify 0 into 0 12.602 * [backup-simplify]: Simplify 0 into 0 12.602 * [taylor]: Taking taylor expansion of 0 in d 12.602 * [backup-simplify]: Simplify 0 into 0 12.602 * [backup-simplify]: Simplify 0 into 0 12.602 * [backup-simplify]: Simplify 0 into 0 12.602 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 12.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 12.603 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 12.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 12.604 * [backup-simplify]: Simplify (+ 0 0) into 0 12.604 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 12.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 12.605 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 12.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 12.605 * [backup-simplify]: Simplify (+ 0 0) into 0 12.606 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 12.606 * [taylor]: Taking taylor expansion of 0 in c 12.606 * [backup-simplify]: Simplify 0 into 0 12.606 * [taylor]: Taking taylor expansion of 0 in b 12.606 * [backup-simplify]: Simplify 0 into 0 12.606 * [taylor]: Taking taylor expansion of 0 in b 12.606 * [backup-simplify]: Simplify 0 into 0 12.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.607 * [backup-simplify]: Simplify (+ 0 0) into 0 12.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 d)) into 0 12.608 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 12.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 12.608 * [taylor]: Taking taylor expansion of 0 in b 12.608 * [backup-simplify]: Simplify 0 into 0 12.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.609 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 12.610 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 12.610 * [backup-simplify]: Simplify (+ 0 0) into 0 12.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 12.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 12.611 * [taylor]: Taking taylor expansion of 0 in b 12.611 * [backup-simplify]: Simplify 0 into 0 12.612 * [taylor]: Taking taylor expansion of 0 in d 12.612 * [backup-simplify]: Simplify 0 into 0 12.612 * [backup-simplify]: Simplify 0 into 0 12.612 * [backup-simplify]: Simplify 0 into 0 12.612 * [backup-simplify]: Simplify (/ (* (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) into (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 12.612 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (a c b d) around 0 12.612 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 12.612 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 12.612 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 12.612 * [taylor]: Taking taylor expansion of (* b d) in d 12.612 * [taylor]: Taking taylor expansion of b in d 12.612 * [backup-simplify]: Simplify b into b 12.612 * [taylor]: Taking taylor expansion of d in d 12.612 * [backup-simplify]: Simplify 0 into 0 12.612 * [backup-simplify]: Simplify 1 into 1 12.612 * [backup-simplify]: Simplify (* b 0) into 0 12.613 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 12.613 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.613 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 12.613 * [taylor]: Taking taylor expansion of (* a c) in d 12.613 * [taylor]: Taking taylor expansion of a in d 12.613 * [backup-simplify]: Simplify a into a 12.613 * [taylor]: Taking taylor expansion of c in d 12.613 * [backup-simplify]: Simplify c into c 12.613 * [backup-simplify]: Simplify (* a c) into (* a c) 12.613 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 12.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 12.613 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 12.613 * [taylor]: Taking taylor expansion of (pow c 2) in d 12.613 * [taylor]: Taking taylor expansion of c in d 12.613 * [backup-simplify]: Simplify c into c 12.613 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.613 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 12.613 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 12.613 * [taylor]: Taking taylor expansion of (pow d 2) in d 12.613 * [taylor]: Taking taylor expansion of d in d 12.613 * [backup-simplify]: Simplify 0 into 0 12.613 * [backup-simplify]: Simplify 1 into 1 12.613 * [backup-simplify]: Simplify (* 1 1) into 1 12.614 * [backup-simplify]: Simplify (/ 1 1) into 1 12.614 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 12.614 * [backup-simplify]: Simplify (+ 0 1) into 1 12.614 * [backup-simplify]: Simplify (/ (/ 1 b) 1) into (/ 1 b) 12.614 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 12.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 12.614 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 12.614 * [taylor]: Taking taylor expansion of (* b d) in b 12.614 * [taylor]: Taking taylor expansion of b in b 12.614 * [backup-simplify]: Simplify 0 into 0 12.614 * [backup-simplify]: Simplify 1 into 1 12.614 * [taylor]: Taking taylor expansion of d in b 12.614 * [backup-simplify]: Simplify d into d 12.614 * [backup-simplify]: Simplify (* 0 d) into 0 12.614 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 12.615 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 12.615 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 12.615 * [taylor]: Taking taylor expansion of (* a c) in b 12.615 * [taylor]: Taking taylor expansion of a in b 12.615 * [backup-simplify]: Simplify a into a 12.615 * [taylor]: Taking taylor expansion of c in b 12.615 * [backup-simplify]: Simplify c into c 12.615 * [backup-simplify]: Simplify (* a c) into (* a c) 12.615 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 12.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 12.615 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 12.615 * [taylor]: Taking taylor expansion of (pow c 2) in b 12.615 * [taylor]: Taking taylor expansion of c in b 12.615 * [backup-simplify]: Simplify c into c 12.615 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.615 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 12.615 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 12.615 * [taylor]: Taking taylor expansion of (pow d 2) in b 12.615 * [taylor]: Taking taylor expansion of d in b 12.615 * [backup-simplify]: Simplify d into d 12.615 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.615 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.615 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 12.615 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 12.615 * [backup-simplify]: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) 12.615 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 12.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 12.615 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 12.615 * [taylor]: Taking taylor expansion of (* b d) in c 12.615 * [taylor]: Taking taylor expansion of b in c 12.615 * [backup-simplify]: Simplify b into b 12.615 * [taylor]: Taking taylor expansion of d in c 12.616 * [backup-simplify]: Simplify d into d 12.616 * [backup-simplify]: Simplify (* b d) into (* b d) 12.616 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 12.616 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 12.616 * [taylor]: Taking taylor expansion of (* a c) in c 12.616 * [taylor]: Taking taylor expansion of a in c 12.616 * [backup-simplify]: Simplify a into a 12.616 * [taylor]: Taking taylor expansion of c in c 12.616 * [backup-simplify]: Simplify 0 into 0 12.616 * [backup-simplify]: Simplify 1 into 1 12.616 * [backup-simplify]: Simplify (* a 0) into 0 12.616 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 12.616 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 12.616 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 12.616 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.616 * [taylor]: Taking taylor expansion of c in c 12.616 * [backup-simplify]: Simplify 0 into 0 12.616 * [backup-simplify]: Simplify 1 into 1 12.617 * [backup-simplify]: Simplify (* 1 1) into 1 12.617 * [backup-simplify]: Simplify (/ 1 1) into 1 12.617 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 12.617 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.617 * [taylor]: Taking taylor expansion of d in c 12.617 * [backup-simplify]: Simplify d into d 12.617 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.617 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.617 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 12.617 * [backup-simplify]: Simplify (+ 1 0) into 1 12.617 * [backup-simplify]: Simplify (/ (/ 1 a) 1) into (/ 1 a) 12.617 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 12.617 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 12.618 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 12.618 * [taylor]: Taking taylor expansion of (* b d) in a 12.618 * [taylor]: Taking taylor expansion of b in a 12.618 * [backup-simplify]: Simplify b into b 12.618 * [taylor]: Taking taylor expansion of d in a 12.618 * [backup-simplify]: Simplify d into d 12.618 * [backup-simplify]: Simplify (* b d) into (* b d) 12.618 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 12.618 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 12.618 * [taylor]: Taking taylor expansion of (* a c) in a 12.618 * [taylor]: Taking taylor expansion of a in a 12.618 * [backup-simplify]: Simplify 0 into 0 12.618 * [backup-simplify]: Simplify 1 into 1 12.618 * [taylor]: Taking taylor expansion of c in a 12.618 * [backup-simplify]: Simplify c into c 12.618 * [backup-simplify]: Simplify (* 0 c) into 0 12.618 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 12.618 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 12.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 12.618 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 12.618 * [taylor]: Taking taylor expansion of (pow c 2) in a 12.618 * [taylor]: Taking taylor expansion of c in a 12.618 * [backup-simplify]: Simplify c into c 12.618 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.618 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 12.618 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 12.618 * [taylor]: Taking taylor expansion of (pow d 2) in a 12.618 * [taylor]: Taking taylor expansion of d in a 12.618 * [backup-simplify]: Simplify d into d 12.618 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.618 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.619 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 12.619 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 12.619 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) 12.619 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 12.619 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 12.619 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 12.619 * [taylor]: Taking taylor expansion of (* b d) in a 12.619 * [taylor]: Taking taylor expansion of b in a 12.619 * [backup-simplify]: Simplify b into b 12.619 * [taylor]: Taking taylor expansion of d in a 12.619 * [backup-simplify]: Simplify d into d 12.619 * [backup-simplify]: Simplify (* b d) into (* b d) 12.619 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 12.619 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 12.619 * [taylor]: Taking taylor expansion of (* a c) in a 12.619 * [taylor]: Taking taylor expansion of a in a 12.619 * [backup-simplify]: Simplify 0 into 0 12.619 * [backup-simplify]: Simplify 1 into 1 12.619 * [taylor]: Taking taylor expansion of c in a 12.619 * [backup-simplify]: Simplify c into c 12.619 * [backup-simplify]: Simplify (* 0 c) into 0 12.619 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 12.619 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 12.619 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 12.620 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 12.620 * [taylor]: Taking taylor expansion of (pow c 2) in a 12.620 * [taylor]: Taking taylor expansion of c in a 12.620 * [backup-simplify]: Simplify c into c 12.620 * [backup-simplify]: Simplify (* c c) into (pow c 2) 12.620 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 12.620 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 12.620 * [taylor]: Taking taylor expansion of (pow d 2) in a 12.620 * [taylor]: Taking taylor expansion of d in a 12.620 * [backup-simplify]: Simplify d into d 12.620 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.620 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.620 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 12.620 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 12.620 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) 12.620 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c 12.620 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c 12.620 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 12.620 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 12.620 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.620 * [taylor]: Taking taylor expansion of c in c 12.620 * [backup-simplify]: Simplify 0 into 0 12.620 * [backup-simplify]: Simplify 1 into 1 12.621 * [backup-simplify]: Simplify (* 1 1) into 1 12.621 * [backup-simplify]: Simplify (/ 1 1) into 1 12.621 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 12.621 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.621 * [taylor]: Taking taylor expansion of d in c 12.621 * [backup-simplify]: Simplify d into d 12.621 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.621 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.621 * [taylor]: Taking taylor expansion of c in c 12.621 * [backup-simplify]: Simplify 0 into 0 12.621 * [backup-simplify]: Simplify 1 into 1 12.622 * [backup-simplify]: Simplify (+ 1 0) into 1 12.622 * [backup-simplify]: Simplify (* 1 0) into 0 12.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.623 * [backup-simplify]: Simplify (+ 0 0) into 0 12.623 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 12.624 * [backup-simplify]: Simplify (/ 1 1) into 1 12.624 * [taylor]: Taking taylor expansion of 1 in b 12.624 * [backup-simplify]: Simplify 1 into 1 12.624 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 12.624 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 12.624 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 12.624 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 12.624 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 12.624 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 12.625 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 12.625 * [backup-simplify]: Simplify (+ 0 0) into 0 12.625 * [backup-simplify]: Simplify (- (/ (/ 1 (* b d)) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) 12.625 * [taylor]: Taking taylor expansion of (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c 12.625 * [taylor]: Taking taylor expansion of (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c 12.625 * [taylor]: Taking taylor expansion of b in c 12.625 * [backup-simplify]: Simplify b into b 12.625 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c 12.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 12.625 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 12.625 * [taylor]: Taking taylor expansion of (pow c 2) in c 12.625 * [taylor]: Taking taylor expansion of c in c 12.625 * [backup-simplify]: Simplify 0 into 0 12.625 * [backup-simplify]: Simplify 1 into 1 12.626 * [backup-simplify]: Simplify (* 1 1) into 1 12.626 * [backup-simplify]: Simplify (/ 1 1) into 1 12.626 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 12.626 * [taylor]: Taking taylor expansion of (pow d 2) in c 12.626 * [taylor]: Taking taylor expansion of d in c 12.626 * [backup-simplify]: Simplify d into d 12.626 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.626 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.626 * [taylor]: Taking taylor expansion of d in c 12.626 * [backup-simplify]: Simplify d into d 12.626 * [backup-simplify]: Simplify (+ 1 0) into 1 12.626 * [backup-simplify]: Simplify (* 1 d) into d 12.626 * [backup-simplify]: Simplify (* b d) into (* b d) 12.627 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 12.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.628 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 12.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) into 0 12.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.629 * [taylor]: Taking taylor expansion of 0 in b 12.629 * [backup-simplify]: Simplify 0 into 0 12.629 * [taylor]: Taking taylor expansion of 1 in d 12.629 * [backup-simplify]: Simplify 1 into 1 12.629 * [backup-simplify]: Simplify 0 into 0 12.629 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 12.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 12.630 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 12.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 12.630 * [backup-simplify]: Simplify (+ 0 0) into 0 12.630 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 12.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 12.631 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 12.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 12.631 * [backup-simplify]: Simplify (+ 0 0) into 0 12.632 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 12.632 * [taylor]: Taking taylor expansion of 0 in c 12.632 * [backup-simplify]: Simplify 0 into 0 12.632 * [taylor]: Taking taylor expansion of 0 in b 12.632 * [backup-simplify]: Simplify 0 into 0 12.632 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 12.632 * [taylor]: Taking taylor expansion of (* b d) in b 12.632 * [taylor]: Taking taylor expansion of b in b 12.632 * [backup-simplify]: Simplify 0 into 0 12.632 * [backup-simplify]: Simplify 1 into 1 12.632 * [taylor]: Taking taylor expansion of d in b 12.632 * [backup-simplify]: Simplify d into d 12.632 * [backup-simplify]: Simplify (* 0 d) into 0 12.632 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 12.632 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 12.632 * [taylor]: Taking taylor expansion of (/ 1 d) in d 12.632 * [taylor]: Taking taylor expansion of d in d 12.632 * [backup-simplify]: Simplify 0 into 0 12.632 * [backup-simplify]: Simplify 1 into 1 12.633 * [backup-simplify]: Simplify (/ 1 1) into 1 12.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.634 * [backup-simplify]: Simplify 0 into 0 12.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.635 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 12.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 12.635 * [backup-simplify]: Simplify (+ 0 0) into 0 12.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2)) 12.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) 12.636 * [taylor]: Taking taylor expansion of (- (/ 1 (pow d 2))) in b 12.636 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 12.636 * [taylor]: Taking taylor expansion of (pow d 2) in b 12.636 * [taylor]: Taking taylor expansion of d in b 12.636 * [backup-simplify]: Simplify d into d 12.636 * [backup-simplify]: Simplify (* d d) into (pow d 2) 12.637 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 12.637 * [taylor]: Taking taylor expansion of 0 in d 12.637 * [backup-simplify]: Simplify 0 into 0 12.637 * [backup-simplify]: Simplify 0 into 0 12.637 * [taylor]: Taking taylor expansion of 0 in d 12.637 * [backup-simplify]: Simplify 0 into 0 12.637 * [backup-simplify]: Simplify 0 into 0 12.637 * [backup-simplify]: Simplify 0 into 0 12.637 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 12.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 12.638 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 12.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 12.638 * [backup-simplify]: Simplify (+ 0 0) into 0 12.639 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 12.639 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 12.640 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 12.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 12.640 * [backup-simplify]: Simplify (+ 0 0) into 0 12.641 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 12.641 * [taylor]: Taking taylor expansion of 0 in c 12.641 * [backup-simplify]: Simplify 0 into 0 12.641 * [taylor]: Taking taylor expansion of 0 in b 12.641 * [backup-simplify]: Simplify 0 into 0 12.641 * [taylor]: Taking taylor expansion of 0 in b 12.641 * [backup-simplify]: Simplify 0 into 0 12.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.642 * [backup-simplify]: Simplify (+ 0 0) into 0 12.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 d)) into 0 12.642 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 12.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 12.642 * [taylor]: Taking taylor expansion of 0 in b 12.642 * [backup-simplify]: Simplify 0 into 0 12.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.644 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 12.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 12.645 * [backup-simplify]: Simplify (+ 0 0) into 0 12.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 12.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 12.646 * [taylor]: Taking taylor expansion of 0 in b 12.646 * [backup-simplify]: Simplify 0 into 0 12.646 * [taylor]: Taking taylor expansion of 0 in d 12.646 * [backup-simplify]: Simplify 0 into 0 12.646 * [backup-simplify]: Simplify 0 into 0 12.646 * [backup-simplify]: Simplify 0 into 0 12.646 * * * [progress]: simplifying candidates 12.646 * * * * [progress]: [ 1 / 138 ] simplifiying candidate # 12.646 * * * * [progress]: [ 2 / 138 ] simplifiying candidate # 12.647 * * * * [progress]: [ 3 / 138 ] simplifiying candidate # 12.647 * * * * [progress]: [ 4 / 138 ] simplifiying candidate # 12.647 * * * * [progress]: [ 5 / 138 ] simplifiying candidate # 12.647 * * * * [progress]: [ 6 / 138 ] simplifiying candidate # 12.647 * * * * [progress]: [ 7 / 138 ] simplifiying candidate # 12.647 * * * * [progress]: [ 8 / 138 ] 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[progress]: [ 23 / 138 ] simplifiying candidate # 12.647 * * * * [progress]: [ 24 / 138 ] simplifiying candidate # 12.647 * * * * [progress]: [ 25 / 138 ] simplifiying candidate # 12.647 * * * * [progress]: [ 26 / 138 ] simplifiying candidate # 12.648 * * * * [progress]: [ 27 / 138 ] simplifiying candidate # 12.648 * * * * [progress]: [ 28 / 138 ] simplifiying candidate # 12.648 * * * * [progress]: [ 29 / 138 ] simplifiying candidate # 12.648 * * * * [progress]: [ 30 / 138 ] simplifiying candidate # 12.648 * * * * [progress]: [ 31 / 138 ] simplifiying candidate # 12.648 * * * * [progress]: [ 32 / 138 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))> 12.648 * * * * [progress]: [ 33 / 138 ] simplifiying candidate # 12.648 * * * * [progress]: [ 34 / 138 ] simplifiying candidate # 12.648 * * * * [progress]: [ 35 / 138 ] simplifiying candidate # 12.648 * * * * [progress]: [ 36 / 138 ] simplifiying candidate # 12.648 * * * * 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12.649 * * * * [progress]: [ 68 / 138 ] simplifiying candidate # 12.649 * * * * [progress]: [ 69 / 138 ] simplifiying candidate # 12.649 * * * * [progress]: [ 70 / 138 ] simplifiying candidate # 12.649 * * * * [progress]: [ 71 / 138 ] simplifiying candidate # 12.649 * * * * [progress]: [ 72 / 138 ] simplifiying candidate # 12.650 * * * * [progress]: [ 73 / 138 ] simplifiying candidate # 12.650 * * * * [progress]: [ 74 / 138 ] simplifiying candidate # 12.650 * * * * [progress]: [ 75 / 138 ] simplifiying candidate # 12.650 * * * * [progress]: [ 76 / 138 ] simplifiying candidate # 12.650 * * * * [progress]: [ 77 / 138 ] simplifiying candidate # 12.650 * * * * [progress]: [ 78 / 138 ] simplifiying candidate # 12.650 * * * * [progress]: [ 79 / 138 ] simplifiying candidate # 12.650 * * * * [progress]: [ 80 / 138 ] simplifiying candidate # 12.650 * * * * [progress]: [ 81 / 138 ] simplifiying candidate # 12.650 * * * * [progress]: [ 82 / 138 ] simplifiying candidate # 12.650 * * * * [progress]: [ 83 / 138 ] simplifiying candidate # 12.650 * * * * [progress]: [ 84 / 138 ] simplifiying candidate # 12.650 * * * * [progress]: [ 85 / 138 ] simplifiying candidate #real (real->posit16 (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))> 12.650 * * * * [progress]: [ 86 / 138 ] simplifiying candidate # 12.650 * * * * [progress]: [ 87 / 138 ] simplifiying candidate # 12.650 * * * * [progress]: [ 88 / 138 ] simplifiying candidate # 12.650 * * * * [progress]: [ 89 / 138 ] simplifiying candidate # 12.650 * * * * [progress]: [ 90 / 138 ] simplifiying candidate # 12.650 * * * * [progress]: [ 91 / 138 ] simplifiying candidate # 12.650 * * * * [progress]: [ 92 / 138 ] simplifiying candidate # 12.650 * * * * [progress]: [ 93 / 138 ] simplifiying candidate # 12.650 * * * * [progress]: [ 94 / 138 ] simplifiying candidate # 12.650 * * * * [progress]: [ 95 / 138 ] simplifiying candidate # 12.650 * * * * [progress]: [ 96 / 138 ] simplifiying candidate # 12.651 * * * * [progress]: [ 97 / 138 ] simplifiying candidate # 12.651 * * * * [progress]: [ 98 / 138 ] simplifiying candidate # 12.651 * * * * [progress]: [ 99 / 138 ] simplifiying candidate # 12.651 * * * * [progress]: [ 100 / 138 ] simplifiying candidate # 12.651 * * * * [progress]: [ 101 / 138 ] simplifiying candidate # 12.651 * * * * [progress]: [ 102 / 138 ] simplifiying candidate # 12.651 * * * * [progress]: [ 103 / 138 ] simplifiying candidate # 12.651 * * * * [progress]: [ 104 / 138 ] simplifiying candidate # 12.651 * * * * [progress]: [ 105 / 138 ] simplifiying candidate # 12.651 * * * * [progress]: [ 106 / 138 ] simplifiying candidate # 12.651 * * * * [progress]: [ 107 / 138 ] simplifiying candidate # 12.651 * * * * [progress]: [ 108 / 138 ] simplifiying candidate # 12.651 * * * * [progress]: [ 109 / 138 ] simplifiying candidate # 12.651 * * * * [progress]: [ 110 / 138 ] simplifiying candidate # 12.651 * * * * [progress]: [ 111 / 138 ] simplifiying candidate # 12.651 * * * * [progress]: [ 112 / 138 ] simplifiying candidate # 12.651 * * * * [progress]: [ 113 / 138 ] simplifiying candidate # 12.651 * * * * [progress]: [ 114 / 138 ] simplifiying candidate # 12.651 * * * * [progress]: [ 115 / 138 ] simplifiying candidate # 12.651 * * * * [progress]: [ 116 / 138 ] simplifiying candidate # 12.651 * * * * [progress]: [ 117 / 138 ] simplifiying candidate # 12.651 * * * * [progress]: [ 118 / 138 ] simplifiying candidate # 12.651 * * * * [progress]: [ 119 / 138 ] simplifiying candidate # 12.651 * * * * [progress]: [ 120 / 138 ] simplifiying candidate # 12.652 * * * * [progress]: [ 121 / 138 ] simplifiying candidate # 12.652 * * * * [progress]: [ 122 / 138 ] simplifiying candidate # 12.652 * * * * [progress]: [ 123 / 138 ] simplifiying candidate # 12.652 * * * * [progress]: [ 124 / 138 ] simplifiying candidate # 12.652 * * * * [progress]: [ 125 / 138 ] simplifiying candidate # 12.652 * * * * [progress]: [ 126 / 138 ] simplifiying candidate #real (real->posit16 (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))> 12.652 * * * * [progress]: [ 127 / 138 ] simplifiying candidate # 12.652 * * * * [progress]: [ 128 / 138 ] simplifiying candidate # 12.652 * * * * [progress]: [ 129 / 138 ] simplifiying candidate # 12.652 * * * * [progress]: [ 130 / 138 ] simplifiying candidate # 12.652 * * * * [progress]: [ 131 / 138 ] simplifiying candidate # 12.652 * * * * [progress]: [ 132 / 138 ] simplifiying candidate # 12.652 * * * * [progress]: [ 133 / 138 ] simplifiying candidate # 12.652 * * * * [progress]: [ 134 / 138 ] simplifiying candidate # 12.652 * * * * [progress]: [ 135 / 138 ] simplifiying candidate # 12.652 * * * * [progress]: [ 136 / 138 ] simplifiying candidate # 12.652 * * * * [progress]: [ 137 / 138 ] simplifiying candidate # 12.652 * * * * [progress]: [ 138 / 138 ] simplifiying candidate # 12.653 * [simplify]: Simplifying: (log (sqrt (+ (* c c) (* d d)))) (exp (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt 1) (sqrt (+ (* c c) (* d d))) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))) (/ 1 2) (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))) (real->posit16 (sqrt (+ (* c c) (* d d)))) (log (sqrt (+ (* c c) (* d d)))) (exp (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ 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(sqrt (+ (* c c) (* d d))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (sqrt (+ (* c c) (* d d))) (* (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))) (* (sqrt (+ (* c c) (* d d))) (* (- (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (+ (* c c) (* d d))) (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d))))) (* (sqrt (+ (* c c) (* d d))) (- (* a c) (* b d))) (real->posit16 (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) d c (* -1 c) d c (* -1 c) b a (* -1 a) 0 0 0 12.656 * * [simplify]: iteration 0: 181 enodes 12.712 * * [simplify]: iteration 1: 513 enodes 12.846 * * [simplify]: iteration 2: 1672 enodes 13.105 * * [simplify]: iteration 3: 2110 enodes 13.394 * * [simplify]: iteration complete: 2110 enodes 13.394 * * [simplify]: Extracting #0: cost 73 inf + 0 13.395 * * [simplify]: Extracting #1: cost 461 inf + 7 13.398 * * [simplify]: Extracting #2: cost 708 inf + 5454 13.406 * * [simplify]: Extracting #3: cost 620 inf + 49026 13.441 * * [simplify]: Extracting #4: cost 150 inf + 192614 13.486 * * [simplify]: Extracting #5: cost 13 inf + 245428 13.535 * * [simplify]: Extracting #6: cost 0 inf + 249556 13.582 * * [simplify]: Extracting #7: cost 0 inf + 249034 13.632 * [simplify]: Simplified to: (log (sqrt (+ (* c c) (* d d)))) (exp (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (sqrt (+ (* c c) (* d d)))) (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))) 1 (sqrt (+ (* c c) (* d d))) (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) (sqrt (+ (* (- (* d d) (* c c)) (* d d)) (* (* c c) (* c c)))) (sqrt (* (+ (* c c) (* 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(/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))) (sqrt (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))) (sqrt (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))) (- (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (- (sqrt (+ (* c c) (* d d)))) (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (fabs (cbrt (+ (* c c) (* d d))))) (/ 1 (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) (+ (* b d) (* a c)) (/ 1 (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) (+ (* b d) (* a c)) (/ 1 (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (+ (* c c) (* d d)) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (* (+ (* c c) (* d d)) (- (* c c) (* d d))))) (* (+ (* (- (* b d) (* a c)) (* b d)) (* (* a c) (* a c))) (+ (* c c) (* d d))) (* (- (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* c c) (* d d)) (* (sqrt (+ (* c c) (* d d))) (+ (* (- (* b d) (* a c)) (* b d)) (* (* a c) (* a c)))) (* (sqrt (+ (* c c) (* d d))) (- (* a c) (* b d))) (real->posit16 (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))) d c (- c) d c (- c) b a (- a) 0 0 0 13.642 * * * [progress]: adding candidates to table 14.815 * [progress]: [Phase 3 of 3] Extracting. 14.815 * * [regime]: Finding splitpoints for: (# #real (real->posit16 (/ (+ (* c a) (* b d)) (+ (* c c) (* d d))))))> # # # # # # # #) 14.817 * * * [regime-changes]: Trying 4 branch expressions: (d c b a) 14.817 * * * * [regimes]: Trying to branch on d from (# #real (real->posit16 (/ (+ (* c a) (* b d)) (+ (* c c) (* d d))))))> # # # # # # # #) 14.882 * * * * [regimes]: Trying to branch on c from (# #real (real->posit16 (/ (+ (* c a) (* b d)) (+ (* c c) (* d d))))))> # # # # # # # #) 14.949 * * * * [regimes]: Trying to branch on b from (# #real (real->posit16 (/ (+ (* c a) (* b d)) (+ (* c c) (* d d))))))> # # # # # # # #) 15.011 * * * * [regimes]: Trying to branch on a from (# #real (real->posit16 (/ (+ (* c a) (* b d)) (+ (* c c) (* d d))))))> # # # # # # # #) 15.072 * * * [regime]: Found split indices: #