0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.038 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.044 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.044 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) 0.044 * * [simplify]: iters left: 6 (11 enodes) 0.049 * * [simplify]: iters left: 5 (37 enodes) 0.058 * * [simplify]: Extracting #0: cost 1 inf + 0 0.058 * * [simplify]: Extracting #1: cost 4 inf + 0 0.058 * * [simplify]: Extracting #2: cost 10 inf + 0 0.059 * * [simplify]: Extracting #3: cost 18 inf + 0 0.059 * * [simplify]: Extracting #4: cost 9 inf + 291 0.059 * * [simplify]: Extracting #5: cost 1 inf + 1272 0.060 * * [simplify]: Extracting #6: cost 0 inf + 1396 0.060 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) 0.060 * [simplify]: Simplified (2) to (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))) 0.067 * * [progress]: iteration 1 / 4 0.067 * * * [progress]: picking best candidate 0.073 * * * * [pick]: Picked # 0.073 * * * [progress]: localizing error 0.104 * * * [progress]: generating rewritten candidates 0.105 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.155 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.170 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.186 * * * [progress]: generating series expansions 0.186 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.186 * [backup-simplify]: Simplify (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) into (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) 0.186 * [approximate]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in (a c b d) around 0 0.186 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in d 0.186 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d 0.186 * [taylor]: Taking taylor expansion of (* a c) in d 0.186 * [taylor]: Taking taylor expansion of a in d 0.186 * [backup-simplify]: Simplify a into a 0.186 * [taylor]: Taking taylor expansion of c in d 0.186 * [backup-simplify]: Simplify c into c 0.186 * [taylor]: Taking taylor expansion of (* b d) in d 0.186 * [taylor]: Taking taylor expansion of b in d 0.186 * [backup-simplify]: Simplify b into b 0.186 * [taylor]: Taking taylor expansion of d in d 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 0.187 * [taylor]: Taking taylor expansion of (pow c 2) in d 0.187 * [taylor]: Taking taylor expansion of c in d 0.187 * [backup-simplify]: Simplify c into c 0.187 * [taylor]: Taking taylor expansion of (pow d 2) in d 0.187 * [taylor]: Taking taylor expansion of d in d 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (* a c) into (* a c) 0.187 * [backup-simplify]: Simplify (* b 0) into 0 0.187 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c) 0.187 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.187 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 0.187 * [backup-simplify]: Simplify (/ (* a c) (pow c 2)) into (/ a c) 0.187 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in b 0.187 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b 0.187 * [taylor]: Taking taylor expansion of (* a c) in b 0.187 * [taylor]: Taking taylor expansion of a in b 0.187 * [backup-simplify]: Simplify a into a 0.188 * [taylor]: Taking taylor expansion of c in b 0.188 * [backup-simplify]: Simplify c into c 0.188 * [taylor]: Taking taylor expansion of (* b d) in b 0.188 * [taylor]: Taking taylor expansion of b in b 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [taylor]: Taking taylor expansion of d in b 0.188 * [backup-simplify]: Simplify d into d 0.188 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b 0.188 * [taylor]: Taking taylor expansion of (pow c 2) in b 0.188 * [taylor]: Taking taylor expansion of c in b 0.188 * [backup-simplify]: Simplify c into c 0.188 * [taylor]: Taking taylor expansion of (pow d 2) in b 0.188 * [taylor]: Taking taylor expansion of d in b 0.188 * [backup-simplify]: Simplify d into d 0.188 * [backup-simplify]: Simplify (* a c) into (* a c) 0.188 * [backup-simplify]: Simplify (* 0 d) into 0 0.188 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c) 0.188 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.188 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.188 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 0.189 * [backup-simplify]: Simplify (/ (* a c) (+ (pow c 2) (pow d 2))) into (/ (* a c) (+ (pow c 2) (pow d 2))) 0.189 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in c 0.189 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c 0.189 * [taylor]: Taking taylor expansion of (* a c) in c 0.189 * [taylor]: Taking taylor expansion of a in c 0.189 * [backup-simplify]: Simplify a into a 0.189 * [taylor]: Taking taylor expansion of c in c 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [taylor]: Taking taylor expansion of (* b d) in c 0.189 * [taylor]: Taking taylor expansion of b in c 0.189 * [backup-simplify]: Simplify b into b 0.189 * [taylor]: Taking taylor expansion of d in c 0.189 * [backup-simplify]: Simplify d into d 0.189 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 0.189 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.189 * [taylor]: Taking taylor expansion of c in c 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.189 * [taylor]: Taking taylor expansion of d in c 0.189 * [backup-simplify]: Simplify d into d 0.189 * [backup-simplify]: Simplify (* a 0) into 0 0.189 * [backup-simplify]: Simplify (* b d) into (* b d) 0.190 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 0.190 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.190 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 0.190 * [backup-simplify]: Simplify (/ (* b d) (pow d 2)) into (/ b d) 0.190 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in a 0.190 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 0.190 * [taylor]: Taking taylor expansion of (* a c) in a 0.190 * [taylor]: Taking taylor expansion of a in a 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [taylor]: Taking taylor expansion of c in a 0.190 * [backup-simplify]: Simplify c into c 0.190 * [taylor]: Taking taylor expansion of (* b d) in a 0.190 * [taylor]: Taking taylor expansion of b in a 0.190 * [backup-simplify]: Simplify b into b 0.190 * [taylor]: Taking taylor expansion of d in a 0.190 * [backup-simplify]: Simplify d into d 0.190 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a 0.190 * [taylor]: Taking taylor expansion of (pow c 2) in a 0.190 * [taylor]: Taking taylor expansion of c in a 0.190 * [backup-simplify]: Simplify c into c 0.190 * [taylor]: Taking taylor expansion of (pow d 2) in a 0.190 * [taylor]: Taking taylor expansion of d in a 0.190 * [backup-simplify]: Simplify d into d 0.190 * [backup-simplify]: Simplify (* 0 c) into 0 0.191 * [backup-simplify]: Simplify (* b d) into (* b d) 0.191 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 0.191 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.191 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.191 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 0.191 * [backup-simplify]: Simplify (/ (* b d) (+ (pow c 2) (pow d 2))) into (/ (* b d) (+ (pow c 2) (pow d 2))) 0.191 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in a 0.191 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 0.191 * [taylor]: Taking taylor expansion of (* a c) in a 0.191 * [taylor]: Taking taylor expansion of a in a 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [taylor]: Taking taylor expansion of c in a 0.191 * [backup-simplify]: Simplify c into c 0.191 * [taylor]: Taking taylor expansion of (* b d) in a 0.191 * [taylor]: Taking taylor expansion of b in a 0.191 * [backup-simplify]: Simplify b into b 0.191 * [taylor]: Taking taylor expansion of d in a 0.191 * [backup-simplify]: Simplify d into d 0.191 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a 0.191 * [taylor]: Taking taylor expansion of (pow c 2) in a 0.192 * [taylor]: Taking taylor expansion of c in a 0.192 * [backup-simplify]: Simplify c into c 0.192 * [taylor]: Taking taylor expansion of (pow d 2) in a 0.192 * [taylor]: Taking taylor expansion of d in a 0.192 * [backup-simplify]: Simplify d into d 0.192 * [backup-simplify]: Simplify (* 0 c) into 0 0.192 * [backup-simplify]: Simplify (* b d) into (* b d) 0.192 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 0.192 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.192 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.192 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 0.192 * [backup-simplify]: Simplify (/ (* b d) (+ (pow c 2) (pow d 2))) into (/ (* b d) (+ (pow c 2) (pow d 2))) 0.192 * [taylor]: Taking taylor expansion of (/ (* b d) (+ (pow c 2) (pow d 2))) in c 0.192 * [taylor]: Taking taylor expansion of (* b d) in c 0.192 * [taylor]: Taking taylor expansion of b in c 0.192 * [backup-simplify]: Simplify b into b 0.192 * [taylor]: Taking taylor expansion of d in c 0.193 * [backup-simplify]: Simplify d into d 0.193 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 0.193 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.193 * [taylor]: Taking taylor expansion of c in c 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.193 * [taylor]: Taking taylor expansion of d in c 0.193 * [backup-simplify]: Simplify d into d 0.193 * [backup-simplify]: Simplify (* b d) into (* b d) 0.193 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.193 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 0.193 * [backup-simplify]: Simplify (/ (* b d) (pow d 2)) into (/ b d) 0.193 * [taylor]: Taking taylor expansion of (/ b d) in b 0.193 * [taylor]: Taking taylor expansion of b in b 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [taylor]: Taking taylor expansion of d in b 0.193 * [backup-simplify]: Simplify d into d 0.193 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.194 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 0.194 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.194 * [backup-simplify]: Simplify (+ c 0) into c 0.194 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 0.194 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [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))) 0.195 * [taylor]: Taking taylor expansion of (/ c (+ (pow c 2) (pow d 2))) in c 0.195 * [taylor]: Taking taylor expansion of c in c 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.196 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 0.196 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.196 * [taylor]: Taking taylor expansion of c in c 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.196 * [taylor]: Taking taylor expansion of d in c 0.196 * [backup-simplify]: Simplify d into d 0.196 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.196 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 0.196 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.196 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.196 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 0.197 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify (- (/ 0 (pow d 2)) (+ (* (/ b d) (/ 0 (pow d 2))))) into 0 0.197 * [taylor]: Taking taylor expansion of 0 in b 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [taylor]: Taking taylor expansion of 0 in d 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.197 * [taylor]: Taking taylor expansion of d in d 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 0.200 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 0.201 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [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 0.202 * [taylor]: Taking taylor expansion of 0 in c 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [taylor]: Taking taylor expansion of 0 in b 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [taylor]: Taking taylor expansion of 0 in d 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 0.203 * [taylor]: Taking taylor expansion of (pow d 2) in b 0.203 * [taylor]: Taking taylor expansion of d in b 0.203 * [backup-simplify]: Simplify d into d 0.203 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.203 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 0.203 * [taylor]: Taking taylor expansion of (pow d 2) in d 0.203 * [taylor]: Taking taylor expansion of d in d 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (* 1 1) into 1 0.204 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 0.208 * [backup-simplify]: Simplify (* 1 1) into 1 0.208 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 0.209 * [backup-simplify]: Simplify (+ 1 0) into 1 0.209 * [backup-simplify]: Simplify (- (/ 0 (pow d 2)) (+ (* (/ b d) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ b (pow d 3))) 0.209 * [taylor]: Taking taylor expansion of (- (/ b (pow d 3))) in b 0.209 * [taylor]: Taking taylor expansion of (/ b (pow d 3)) in b 0.209 * [taylor]: Taking taylor expansion of b in b 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [taylor]: Taking taylor expansion of (pow d 3) in b 0.209 * [taylor]: Taking taylor expansion of d in b 0.209 * [backup-simplify]: Simplify d into d 0.209 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.209 * [backup-simplify]: Simplify (* d (pow d 2)) into (pow d 3) 0.210 * [backup-simplify]: Simplify (/ 1 (pow d 3)) into (/ 1 (pow d 3)) 0.210 * [taylor]: Taking taylor expansion of 0 in d 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify (- (/ 0 d) (+ (* (/ 1 d) (/ 0 d)))) into 0 0.210 * [taylor]: Taking taylor expansion of 0 in d 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [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)))) 0.210 * [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 0.210 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 0.210 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 0.210 * [taylor]: Taking taylor expansion of (* b d) in d 0.210 * [taylor]: Taking taylor expansion of b in d 0.210 * [backup-simplify]: Simplify b into b 0.210 * [taylor]: Taking taylor expansion of d in d 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (* b 0) into 0 0.211 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 0.211 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.211 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 0.211 * [taylor]: Taking taylor expansion of (* a c) in d 0.211 * [taylor]: Taking taylor expansion of a in d 0.211 * [backup-simplify]: Simplify a into a 0.211 * [taylor]: Taking taylor expansion of c in d 0.211 * [backup-simplify]: Simplify c into c 0.211 * [backup-simplify]: Simplify (* a c) into (* a c) 0.211 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 0.211 * [taylor]: Taking taylor expansion of (pow c 2) in d 0.211 * [taylor]: Taking taylor expansion of c in d 0.211 * [backup-simplify]: Simplify c into c 0.211 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.211 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 0.211 * [taylor]: Taking taylor expansion of (pow d 2) in d 0.211 * [taylor]: Taking taylor expansion of d in d 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (* 1 1) into 1 0.212 * [backup-simplify]: Simplify (/ 1 1) into 1 0.212 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 0.212 * [backup-simplify]: Simplify (+ 0 1) into 1 0.212 * [backup-simplify]: Simplify (/ (/ 1 b) 1) into (/ 1 b) 0.212 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 0.212 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 0.212 * [taylor]: Taking taylor expansion of (* b d) in b 0.212 * [taylor]: Taking taylor expansion of b in b 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [taylor]: Taking taylor expansion of d in b 0.212 * [backup-simplify]: Simplify d into d 0.212 * [backup-simplify]: Simplify (* 0 d) into 0 0.212 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 0.212 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.212 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 0.212 * [taylor]: Taking taylor expansion of (* a c) in b 0.212 * [taylor]: Taking taylor expansion of a in b 0.212 * [backup-simplify]: Simplify a into a 0.212 * [taylor]: Taking taylor expansion of c in b 0.212 * [backup-simplify]: Simplify c into c 0.213 * [backup-simplify]: Simplify (* a c) into (* a c) 0.213 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 0.213 * [taylor]: Taking taylor expansion of (pow c 2) in b 0.213 * [taylor]: Taking taylor expansion of c in b 0.213 * [backup-simplify]: Simplify c into c 0.213 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.213 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 0.213 * [taylor]: Taking taylor expansion of (pow d 2) in b 0.213 * [taylor]: Taking taylor expansion of d in b 0.213 * [backup-simplify]: Simplify d into d 0.213 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.213 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.213 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 0.213 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 0.213 * [backup-simplify]: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) 0.213 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 0.213 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 0.213 * [taylor]: Taking taylor expansion of (* b d) in c 0.213 * [taylor]: Taking taylor expansion of b in c 0.213 * [backup-simplify]: Simplify b into b 0.213 * [taylor]: Taking taylor expansion of d in c 0.213 * [backup-simplify]: Simplify d into d 0.213 * [backup-simplify]: Simplify (* b d) into (* b d) 0.213 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.213 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 0.213 * [taylor]: Taking taylor expansion of (* a c) in c 0.213 * [taylor]: Taking taylor expansion of a in c 0.213 * [backup-simplify]: Simplify a into a 0.213 * [taylor]: Taking taylor expansion of c in c 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (* a 0) into 0 0.214 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 0.214 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 0.214 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.214 * [taylor]: Taking taylor expansion of c in c 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (* 1 1) into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 0.214 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.214 * [taylor]: Taking taylor expansion of d in c 0.215 * [backup-simplify]: Simplify d into d 0.215 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.215 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.215 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 0.215 * [backup-simplify]: Simplify (+ 1 0) into 1 0.215 * [backup-simplify]: Simplify (/ (/ 1 a) 1) into (/ 1 a) 0.215 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 0.215 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 0.215 * [taylor]: Taking taylor expansion of (* b d) in a 0.215 * [taylor]: Taking taylor expansion of b in a 0.215 * [backup-simplify]: Simplify b into b 0.215 * [taylor]: Taking taylor expansion of d in a 0.215 * [backup-simplify]: Simplify d into d 0.215 * [backup-simplify]: Simplify (* b d) into (* b d) 0.215 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.215 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 0.215 * [taylor]: Taking taylor expansion of (* a c) in a 0.215 * [taylor]: Taking taylor expansion of a in a 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [taylor]: Taking taylor expansion of c in a 0.215 * [backup-simplify]: Simplify c into c 0.215 * [backup-simplify]: Simplify (* 0 c) into 0 0.216 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 0.216 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 0.216 * [taylor]: Taking taylor expansion of (pow c 2) in a 0.216 * [taylor]: Taking taylor expansion of c in a 0.216 * [backup-simplify]: Simplify c into c 0.216 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.216 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 0.216 * [taylor]: Taking taylor expansion of (pow d 2) in a 0.216 * [taylor]: Taking taylor expansion of d in a 0.216 * [backup-simplify]: Simplify d into d 0.216 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.216 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.216 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 0.216 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 0.216 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) 0.216 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 0.216 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 0.216 * [taylor]: Taking taylor expansion of (* b d) in a 0.216 * [taylor]: Taking taylor expansion of b in a 0.216 * [backup-simplify]: Simplify b into b 0.216 * [taylor]: Taking taylor expansion of d in a 0.216 * [backup-simplify]: Simplify d into d 0.216 * [backup-simplify]: Simplify (* b d) into (* b d) 0.216 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.216 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 0.216 * [taylor]: Taking taylor expansion of (* a c) in a 0.216 * [taylor]: Taking taylor expansion of a in a 0.216 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [taylor]: Taking taylor expansion of c in a 0.217 * [backup-simplify]: Simplify c into c 0.217 * [backup-simplify]: Simplify (* 0 c) into 0 0.217 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 0.217 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 0.217 * [taylor]: Taking taylor expansion of (pow c 2) in a 0.217 * [taylor]: Taking taylor expansion of c in a 0.217 * [backup-simplify]: Simplify c into c 0.217 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.217 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 0.217 * [taylor]: Taking taylor expansion of (pow d 2) in a 0.217 * [taylor]: Taking taylor expansion of d in a 0.217 * [backup-simplify]: Simplify d into d 0.217 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.217 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.217 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 0.217 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 0.217 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) 0.218 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c 0.218 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 0.218 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.218 * [taylor]: Taking taylor expansion of c in c 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (* 1 1) into 1 0.218 * [backup-simplify]: Simplify (/ 1 1) into 1 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 0.218 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.218 * [taylor]: Taking taylor expansion of d in c 0.218 * [backup-simplify]: Simplify d into d 0.218 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.218 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.218 * [taylor]: Taking taylor expansion of c in c 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (+ 1 0) into 1 0.219 * [backup-simplify]: Simplify (* 1 0) into 0 0.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 0.221 * [backup-simplify]: Simplify (/ 1 1) into 1 0.221 * [taylor]: Taking taylor expansion of 1 in b 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 0.221 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 0.221 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 0.221 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 0.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 0.222 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [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))) 0.222 * [taylor]: Taking taylor expansion of (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c 0.222 * [taylor]: Taking taylor expansion of (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c 0.222 * [taylor]: Taking taylor expansion of b in c 0.222 * [backup-simplify]: Simplify b into b 0.222 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 0.222 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.222 * [taylor]: Taking taylor expansion of c in c 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (* 1 1) into 1 0.223 * [backup-simplify]: Simplify (/ 1 1) into 1 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 0.223 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.223 * [taylor]: Taking taylor expansion of d in c 0.223 * [backup-simplify]: Simplify d into d 0.223 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.223 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.223 * [taylor]: Taking taylor expansion of d in c 0.223 * [backup-simplify]: Simplify d into d 0.224 * [backup-simplify]: Simplify (+ 1 0) into 1 0.224 * [backup-simplify]: Simplify (* 1 d) into d 0.224 * [backup-simplify]: Simplify (* b d) into (* b d) 0.224 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 0.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) into 0 0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.226 * [taylor]: Taking taylor expansion of 0 in b 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [taylor]: Taking taylor expansion of 1 in d 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 0.227 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 0.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 0.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 0.228 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 0.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [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 0.229 * [taylor]: Taking taylor expansion of 0 in c 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [taylor]: Taking taylor expansion of 0 in b 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 0.229 * [taylor]: Taking taylor expansion of (* b d) in b 0.229 * [taylor]: Taking taylor expansion of b in b 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [taylor]: Taking taylor expansion of d in b 0.229 * [backup-simplify]: Simplify d into d 0.229 * [backup-simplify]: Simplify (* 0 d) into 0 0.230 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 0.230 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.230 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.230 * [taylor]: Taking taylor expansion of d in d 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (/ 1 1) into 1 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 0.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2)) 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) 0.236 * [taylor]: Taking taylor expansion of (- (/ 1 (pow d 2))) in b 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 0.236 * [taylor]: Taking taylor expansion of (pow d 2) in b 0.236 * [taylor]: Taking taylor expansion of d in b 0.236 * [backup-simplify]: Simplify d into d 0.236 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.236 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.236 * [taylor]: Taking taylor expansion of 0 in d 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [taylor]: Taking taylor expansion of 0 in d 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 0.238 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 0.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 0.240 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 0.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [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 0.242 * [taylor]: Taking taylor expansion of 0 in c 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [taylor]: Taking taylor expansion of 0 in b 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [taylor]: Taking taylor expansion of 0 in b 0.242 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 d)) into 0 0.245 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 0.245 * [taylor]: Taking taylor expansion of 0 in b 0.245 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 0.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 0.251 * [taylor]: Taking taylor expansion of 0 in b 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [taylor]: Taking taylor expansion of 0 in d 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [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)))) 0.251 * [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 0.251 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 0.252 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 0.252 * [taylor]: Taking taylor expansion of (* b d) in d 0.252 * [taylor]: Taking taylor expansion of b in d 0.252 * [backup-simplify]: Simplify b into b 0.252 * [taylor]: Taking taylor expansion of d in d 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (* b 0) into 0 0.252 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 0.252 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.252 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 0.252 * [taylor]: Taking taylor expansion of (* a c) in d 0.252 * [taylor]: Taking taylor expansion of a in d 0.252 * [backup-simplify]: Simplify a into a 0.252 * [taylor]: Taking taylor expansion of c in d 0.252 * [backup-simplify]: Simplify c into c 0.252 * [backup-simplify]: Simplify (* a c) into (* a c) 0.253 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 0.253 * [taylor]: Taking taylor expansion of (pow c 2) in d 0.253 * [taylor]: Taking taylor expansion of c in d 0.253 * [backup-simplify]: Simplify c into c 0.253 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.253 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 0.253 * [taylor]: Taking taylor expansion of (pow d 2) in d 0.253 * [taylor]: Taking taylor expansion of d in d 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (* 1 1) into 1 0.254 * [backup-simplify]: Simplify (/ 1 1) into 1 0.254 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 0.254 * [backup-simplify]: Simplify (+ 0 1) into 1 0.254 * [backup-simplify]: Simplify (/ (/ 1 b) 1) into (/ 1 b) 0.254 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 0.254 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 0.254 * [taylor]: Taking taylor expansion of (* b d) in b 0.254 * [taylor]: Taking taylor expansion of b in b 0.254 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [taylor]: Taking taylor expansion of d in b 0.255 * [backup-simplify]: Simplify d into d 0.255 * [backup-simplify]: Simplify (* 0 d) into 0 0.255 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 0.255 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.255 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 0.255 * [taylor]: Taking taylor expansion of (* a c) in b 0.255 * [taylor]: Taking taylor expansion of a in b 0.255 * [backup-simplify]: Simplify a into a 0.255 * [taylor]: Taking taylor expansion of c in b 0.255 * [backup-simplify]: Simplify c into c 0.255 * [backup-simplify]: Simplify (* a c) into (* a c) 0.255 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 0.255 * [taylor]: Taking taylor expansion of (pow c 2) in b 0.256 * [taylor]: Taking taylor expansion of c in b 0.256 * [backup-simplify]: Simplify c into c 0.256 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.256 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 0.256 * [taylor]: Taking taylor expansion of (pow d 2) in b 0.256 * [taylor]: Taking taylor expansion of d in b 0.256 * [backup-simplify]: Simplify d into d 0.256 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.256 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.256 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 0.256 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 0.256 * [backup-simplify]: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) 0.256 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 0.257 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 0.257 * [taylor]: Taking taylor expansion of (* b d) in c 0.257 * [taylor]: Taking taylor expansion of b in c 0.257 * [backup-simplify]: Simplify b into b 0.257 * [taylor]: Taking taylor expansion of d in c 0.257 * [backup-simplify]: Simplify d into d 0.257 * [backup-simplify]: Simplify (* b d) into (* b d) 0.257 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.257 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 0.257 * [taylor]: Taking taylor expansion of (* a c) in c 0.257 * [taylor]: Taking taylor expansion of a in c 0.257 * [backup-simplify]: Simplify a into a 0.257 * [taylor]: Taking taylor expansion of c in c 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (* a 0) into 0 0.257 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 0.258 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 0.258 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.258 * [taylor]: Taking taylor expansion of c in c 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (* 1 1) into 1 0.258 * [backup-simplify]: Simplify (/ 1 1) into 1 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 0.259 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.259 * [taylor]: Taking taylor expansion of d in c 0.259 * [backup-simplify]: Simplify d into d 0.259 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.259 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.259 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 0.259 * [backup-simplify]: Simplify (+ 1 0) into 1 0.259 * [backup-simplify]: Simplify (/ (/ 1 a) 1) into (/ 1 a) 0.259 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 0.259 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 0.259 * [taylor]: Taking taylor expansion of (* b d) in a 0.259 * [taylor]: Taking taylor expansion of b in a 0.260 * [backup-simplify]: Simplify b into b 0.260 * [taylor]: Taking taylor expansion of d in a 0.260 * [backup-simplify]: Simplify d into d 0.260 * [backup-simplify]: Simplify (* b d) into (* b d) 0.260 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.260 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 0.260 * [taylor]: Taking taylor expansion of (* a c) in a 0.260 * [taylor]: Taking taylor expansion of a in a 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [taylor]: Taking taylor expansion of c in a 0.260 * [backup-simplify]: Simplify c into c 0.260 * [backup-simplify]: Simplify (* 0 c) into 0 0.260 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 0.260 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 0.261 * [taylor]: Taking taylor expansion of (pow c 2) in a 0.261 * [taylor]: Taking taylor expansion of c in a 0.261 * [backup-simplify]: Simplify c into c 0.261 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.261 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 0.261 * [taylor]: Taking taylor expansion of (pow d 2) in a 0.261 * [taylor]: Taking taylor expansion of d in a 0.261 * [backup-simplify]: Simplify d into d 0.261 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.261 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.261 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 0.261 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 0.261 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) 0.262 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 0.262 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 0.262 * [taylor]: Taking taylor expansion of (* b d) in a 0.262 * [taylor]: Taking taylor expansion of b in a 0.262 * [backup-simplify]: Simplify b into b 0.262 * [taylor]: Taking taylor expansion of d in a 0.262 * [backup-simplify]: Simplify d into d 0.262 * [backup-simplify]: Simplify (* b d) into (* b d) 0.262 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.262 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 0.262 * [taylor]: Taking taylor expansion of (* a c) in a 0.262 * [taylor]: Taking taylor expansion of a in a 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [taylor]: Taking taylor expansion of c in a 0.262 * [backup-simplify]: Simplify c into c 0.262 * [backup-simplify]: Simplify (* 0 c) into 0 0.263 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 0.263 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 0.263 * [taylor]: Taking taylor expansion of (pow c 2) in a 0.263 * [taylor]: Taking taylor expansion of c in a 0.263 * [backup-simplify]: Simplify c into c 0.263 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.263 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 0.263 * [taylor]: Taking taylor expansion of (pow d 2) in a 0.263 * [taylor]: Taking taylor expansion of d in a 0.263 * [backup-simplify]: Simplify d into d 0.263 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.263 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.263 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 0.264 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 0.264 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) 0.264 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c 0.264 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 0.264 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.264 * [taylor]: Taking taylor expansion of c in c 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (* 1 1) into 1 0.265 * [backup-simplify]: Simplify (/ 1 1) into 1 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 0.265 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.265 * [taylor]: Taking taylor expansion of d in c 0.265 * [backup-simplify]: Simplify d into d 0.265 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.265 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.265 * [taylor]: Taking taylor expansion of c in c 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (+ 1 0) into 1 0.266 * [backup-simplify]: Simplify (* 1 0) into 0 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 0.268 * [backup-simplify]: Simplify (/ 1 1) into 1 0.268 * [taylor]: Taking taylor expansion of 1 in b 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 0.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 0.268 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 0.268 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 0.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 0.268 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [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))) 0.269 * [taylor]: Taking taylor expansion of (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c 0.269 * [taylor]: Taking taylor expansion of (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c 0.269 * [taylor]: Taking taylor expansion of b in c 0.269 * [backup-simplify]: Simplify b into b 0.269 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 0.269 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.269 * [taylor]: Taking taylor expansion of c in c 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (* 1 1) into 1 0.270 * [backup-simplify]: Simplify (/ 1 1) into 1 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 0.270 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.270 * [taylor]: Taking taylor expansion of d in c 0.270 * [backup-simplify]: Simplify d into d 0.270 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.270 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.270 * [taylor]: Taking taylor expansion of d in c 0.270 * [backup-simplify]: Simplify d into d 0.270 * [backup-simplify]: Simplify (+ 1 0) into 1 0.270 * [backup-simplify]: Simplify (* 1 d) into d 0.270 * [backup-simplify]: Simplify (* b d) into (* b d) 0.270 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) into 0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.273 * [taylor]: Taking taylor expansion of 0 in b 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [taylor]: Taking taylor expansion of 1 in d 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 0.274 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 0.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.274 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 0.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 0.275 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 0.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [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 0.276 * [taylor]: Taking taylor expansion of 0 in c 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [taylor]: Taking taylor expansion of 0 in b 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 0.276 * [taylor]: Taking taylor expansion of (* b d) in b 0.276 * [taylor]: Taking taylor expansion of b in b 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [taylor]: Taking taylor expansion of d in b 0.276 * [backup-simplify]: Simplify d into d 0.276 * [backup-simplify]: Simplify (* 0 d) into 0 0.276 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 0.276 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.276 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.276 * [taylor]: Taking taylor expansion of d in d 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (/ 1 1) into 1 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2)) 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) 0.280 * [taylor]: Taking taylor expansion of (- (/ 1 (pow d 2))) in b 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 0.280 * [taylor]: Taking taylor expansion of (pow d 2) in b 0.280 * [taylor]: Taking taylor expansion of d in b 0.280 * [backup-simplify]: Simplify d into d 0.280 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.280 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.281 * [taylor]: Taking taylor expansion of 0 in d 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [taylor]: Taking taylor expansion of 0 in d 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 0.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 0.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.282 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 0.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 0.284 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 0.284 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [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 0.285 * [taylor]: Taking taylor expansion of 0 in c 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [taylor]: Taking taylor expansion of 0 in b 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [taylor]: Taking taylor expansion of 0 in b 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 d)) into 0 0.286 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 0.287 * [taylor]: Taking taylor expansion of 0 in b 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 0.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 0.290 * [taylor]: Taking taylor expansion of 0 in b 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [taylor]: Taking taylor expansion of 0 in d 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.291 * [backup-simplify]: Simplify (+ (* a c) (* b d)) into (+ (* a c) (* b d)) 0.291 * [approximate]: Taking taylor expansion of (+ (* a c) (* b d)) in (a c b d) around 0 0.291 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d 0.291 * [taylor]: Taking taylor expansion of (* a c) in d 0.291 * [taylor]: Taking taylor expansion of a in d 0.291 * [backup-simplify]: Simplify a into a 0.291 * [taylor]: Taking taylor expansion of c in d 0.291 * [backup-simplify]: Simplify c into c 0.291 * [taylor]: Taking taylor expansion of (* b d) in d 0.291 * [taylor]: Taking taylor expansion of b in d 0.291 * [backup-simplify]: Simplify b into b 0.291 * [taylor]: Taking taylor expansion of d in d 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b 0.291 * [taylor]: Taking taylor expansion of (* a c) in b 0.291 * [taylor]: Taking taylor expansion of a in b 0.291 * [backup-simplify]: Simplify a into a 0.291 * [taylor]: Taking taylor expansion of c in b 0.291 * [backup-simplify]: Simplify c into c 0.291 * [taylor]: Taking taylor expansion of (* b d) in b 0.291 * [taylor]: Taking taylor expansion of b in b 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [taylor]: Taking taylor expansion of d in b 0.291 * [backup-simplify]: Simplify d into d 0.291 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c 0.291 * [taylor]: Taking taylor expansion of (* a c) in c 0.291 * [taylor]: Taking taylor expansion of a in c 0.291 * [backup-simplify]: Simplify a into a 0.291 * [taylor]: Taking taylor expansion of c in c 0.291 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [taylor]: Taking taylor expansion of (* b d) in c 0.292 * [taylor]: Taking taylor expansion of b in c 0.292 * [backup-simplify]: Simplify b into b 0.292 * [taylor]: Taking taylor expansion of d in c 0.292 * [backup-simplify]: Simplify d into d 0.292 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 0.292 * [taylor]: Taking taylor expansion of (* a c) in a 0.292 * [taylor]: Taking taylor expansion of a in a 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [taylor]: Taking taylor expansion of c in a 0.292 * [backup-simplify]: Simplify c into c 0.292 * [taylor]: Taking taylor expansion of (* b d) in a 0.292 * [taylor]: Taking taylor expansion of b in a 0.292 * [backup-simplify]: Simplify b into b 0.292 * [taylor]: Taking taylor expansion of d in a 0.292 * [backup-simplify]: Simplify d into d 0.292 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 0.292 * [taylor]: Taking taylor expansion of (* a c) in a 0.292 * [taylor]: Taking taylor expansion of a in a 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [taylor]: Taking taylor expansion of c in a 0.292 * [backup-simplify]: Simplify c into c 0.292 * [taylor]: Taking taylor expansion of (* b d) in a 0.292 * [taylor]: Taking taylor expansion of b in a 0.292 * [backup-simplify]: Simplify b into b 0.292 * [taylor]: Taking taylor expansion of d in a 0.292 * [backup-simplify]: Simplify d into d 0.292 * [backup-simplify]: Simplify (* 0 c) into 0 0.292 * [backup-simplify]: Simplify (* b d) into (* b d) 0.292 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 0.292 * [taylor]: Taking taylor expansion of (* b d) in c 0.292 * [taylor]: Taking taylor expansion of b in c 0.293 * [backup-simplify]: Simplify b into b 0.293 * [taylor]: Taking taylor expansion of d in c 0.293 * [backup-simplify]: Simplify d into d 0.293 * [backup-simplify]: Simplify (* b d) into (* b d) 0.293 * [taylor]: Taking taylor expansion of (* b d) in b 0.293 * [taylor]: Taking taylor expansion of b in b 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [taylor]: Taking taylor expansion of d in b 0.293 * [backup-simplify]: Simplify d into d 0.293 * [backup-simplify]: Simplify (* 0 d) into 0 0.293 * [taylor]: Taking taylor expansion of 0 in d 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 0.293 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.293 * [backup-simplify]: Simplify (+ c 0) into c 0.294 * [taylor]: Taking taylor expansion of c in c 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of 0 in b 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [taylor]: Taking taylor expansion of 0 in d 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.294 * [taylor]: Taking taylor expansion of 0 in b 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [taylor]: Taking taylor expansion of 0 in d 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 0.294 * [taylor]: Taking taylor expansion of d in d 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 0.296 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [taylor]: Taking taylor expansion of 0 in c 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [taylor]: Taking taylor expansion of 0 in b 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [taylor]: Taking taylor expansion of 0 in d 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) into (+ (/ 1 (* b d)) (/ 1 (* a c))) 0.297 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 0.297 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 0.297 * [taylor]: Taking taylor expansion of (* b d) in d 0.297 * [taylor]: Taking taylor expansion of b in d 0.297 * [backup-simplify]: Simplify b into b 0.297 * [taylor]: Taking taylor expansion of d in d 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (* b 0) into 0 0.297 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 0.297 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.297 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 0.297 * [taylor]: Taking taylor expansion of (* a c) in d 0.297 * [taylor]: Taking taylor expansion of a in d 0.297 * [backup-simplify]: Simplify a into a 0.297 * [taylor]: Taking taylor expansion of c in d 0.297 * [backup-simplify]: Simplify c into c 0.298 * [backup-simplify]: Simplify (* a c) into (* a c) 0.298 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 0.298 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 0.298 * [taylor]: Taking taylor expansion of (* b d) in b 0.298 * [taylor]: Taking taylor expansion of b in b 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [taylor]: Taking taylor expansion of d in b 0.298 * [backup-simplify]: Simplify d into d 0.298 * [backup-simplify]: Simplify (* 0 d) into 0 0.298 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 0.298 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.298 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 0.298 * [taylor]: Taking taylor expansion of (* a c) in b 0.298 * [taylor]: Taking taylor expansion of a in b 0.298 * [backup-simplify]: Simplify a into a 0.298 * [taylor]: Taking taylor expansion of c in b 0.298 * [backup-simplify]: Simplify c into c 0.298 * [backup-simplify]: Simplify (* a c) into (* a c) 0.299 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 0.299 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 0.299 * [taylor]: Taking taylor expansion of (* b d) in c 0.299 * [taylor]: Taking taylor expansion of b in c 0.299 * [backup-simplify]: Simplify b into b 0.299 * [taylor]: Taking taylor expansion of d in c 0.299 * [backup-simplify]: Simplify d into d 0.299 * [backup-simplify]: Simplify (* b d) into (* b d) 0.299 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.299 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 0.299 * [taylor]: Taking taylor expansion of (* a c) in c 0.299 * [taylor]: Taking taylor expansion of a in c 0.299 * [backup-simplify]: Simplify a into a 0.299 * [taylor]: Taking taylor expansion of c in c 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (* a 0) into 0 0.299 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 0.300 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 0.300 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 0.300 * [taylor]: Taking taylor expansion of (* b d) in a 0.300 * [taylor]: Taking taylor expansion of b in a 0.300 * [backup-simplify]: Simplify b into b 0.300 * [taylor]: Taking taylor expansion of d in a 0.300 * [backup-simplify]: Simplify d into d 0.300 * [backup-simplify]: Simplify (* b d) into (* b d) 0.300 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.300 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 0.300 * [taylor]: Taking taylor expansion of (* a c) in a 0.300 * [taylor]: Taking taylor expansion of a in a 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [taylor]: Taking taylor expansion of c in a 0.300 * [backup-simplify]: Simplify c into c 0.300 * [backup-simplify]: Simplify (* 0 c) into 0 0.300 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 0.300 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 0.301 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 0.301 * [taylor]: Taking taylor expansion of (* b d) in a 0.301 * [taylor]: Taking taylor expansion of b in a 0.301 * [backup-simplify]: Simplify b into b 0.301 * [taylor]: Taking taylor expansion of d in a 0.301 * [backup-simplify]: Simplify d into d 0.301 * [backup-simplify]: Simplify (* b d) into (* b d) 0.301 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.301 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 0.301 * [taylor]: Taking taylor expansion of (* a c) in a 0.301 * [taylor]: Taking taylor expansion of a in a 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [taylor]: Taking taylor expansion of c in a 0.301 * [backup-simplify]: Simplify c into c 0.301 * [backup-simplify]: Simplify (* 0 c) into 0 0.301 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 0.301 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.302 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 0.302 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.302 * [taylor]: Taking taylor expansion of c in c 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (/ 1 1) into 1 0.302 * [taylor]: Taking taylor expansion of 1 in b 0.302 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 0.303 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 0.303 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 0.303 * [taylor]: Taking taylor expansion of (* b d) in c 0.303 * [taylor]: Taking taylor expansion of b in c 0.303 * [backup-simplify]: Simplify b into b 0.303 * [taylor]: Taking taylor expansion of d in c 0.303 * [backup-simplify]: Simplify d into d 0.303 * [backup-simplify]: Simplify (* b d) into (* b d) 0.303 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.304 * [taylor]: Taking taylor expansion of 0 in b 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [taylor]: Taking taylor expansion of 1 in d 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 0.306 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [taylor]: Taking taylor expansion of 0 in c 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 0.306 * [taylor]: Taking taylor expansion of (* b d) in b 0.306 * [taylor]: Taking taylor expansion of b in b 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [taylor]: Taking taylor expansion of d in b 0.306 * [backup-simplify]: Simplify d into d 0.306 * [backup-simplify]: Simplify (* 0 d) into 0 0.307 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 0.307 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.307 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.307 * [taylor]: Taking taylor expansion of d in d 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (/ 1 1) into 1 0.307 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.308 * [taylor]: Taking taylor expansion of 0 in b 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [taylor]: Taking taylor expansion of 0 in d 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [taylor]: Taking taylor expansion of 0 in d 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 0.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 0.311 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 0.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [taylor]: Taking taylor expansion of 0 in c 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [taylor]: Taking taylor expansion of 0 in b 0.311 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 0.312 * [taylor]: Taking taylor expansion of 0 in b 0.312 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.313 * [taylor]: Taking taylor expansion of 0 in b 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 0.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 0.314 * [taylor]: Taking taylor expansion of 0 in d 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [taylor]: Taking taylor expansion of 0 in d 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [taylor]: Taking taylor expansion of 0 in d 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [taylor]: Taking taylor expansion of 0 in d 0.314 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 0.318 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0 0.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [taylor]: Taking taylor expansion of 0 in c 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [taylor]: Taking taylor expansion of 0 in b 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [taylor]: Taking taylor expansion of 0 in b 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 0.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 0.319 * [taylor]: Taking taylor expansion of 0 in b 0.319 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.320 * [taylor]: Taking taylor expansion of 0 in b 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [taylor]: Taking taylor expansion of 0 in d 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [taylor]: Taking taylor expansion of 0 in d 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [taylor]: Taking taylor expansion of 0 in d 0.320 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 0.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 0.322 * [taylor]: Taking taylor expansion of 0 in d 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [taylor]: Taking taylor expansion of 0 in d 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [taylor]: Taking taylor expansion of 0 in d 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [taylor]: Taking taylor expansion of 0 in d 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.323 * [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)) 0.323 * [backup-simplify]: Simplify (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) into (+ (/ 1 (* b d)) (/ 1 (* a c))) 0.323 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 0.323 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 0.323 * [taylor]: Taking taylor expansion of (* b d) in d 0.323 * [taylor]: Taking taylor expansion of b in d 0.323 * [backup-simplify]: Simplify b into b 0.323 * [taylor]: Taking taylor expansion of d in d 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (* b 0) into 0 0.324 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 0.324 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.324 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 0.324 * [taylor]: Taking taylor expansion of (* a c) in d 0.324 * [taylor]: Taking taylor expansion of a in d 0.324 * [backup-simplify]: Simplify a into a 0.324 * [taylor]: Taking taylor expansion of c in d 0.324 * [backup-simplify]: Simplify c into c 0.324 * [backup-simplify]: Simplify (* a c) into (* a c) 0.325 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 0.325 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 0.325 * [taylor]: Taking taylor expansion of (* b d) in b 0.325 * [taylor]: Taking taylor expansion of b in b 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [taylor]: Taking taylor expansion of d in b 0.325 * [backup-simplify]: Simplify d into d 0.325 * [backup-simplify]: Simplify (* 0 d) into 0 0.325 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 0.325 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.325 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 0.325 * [taylor]: Taking taylor expansion of (* a c) in b 0.325 * [taylor]: Taking taylor expansion of a in b 0.325 * [backup-simplify]: Simplify a into a 0.326 * [taylor]: Taking taylor expansion of c in b 0.326 * [backup-simplify]: Simplify c into c 0.326 * [backup-simplify]: Simplify (* a c) into (* a c) 0.326 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 0.326 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 0.326 * [taylor]: Taking taylor expansion of (* b d) in c 0.326 * [taylor]: Taking taylor expansion of b in c 0.326 * [backup-simplify]: Simplify b into b 0.326 * [taylor]: Taking taylor expansion of d in c 0.326 * [backup-simplify]: Simplify d into d 0.326 * [backup-simplify]: Simplify (* b d) into (* b d) 0.326 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.326 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 0.326 * [taylor]: Taking taylor expansion of (* a c) in c 0.326 * [taylor]: Taking taylor expansion of a in c 0.326 * [backup-simplify]: Simplify a into a 0.326 * [taylor]: Taking taylor expansion of c in c 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.326 * [backup-simplify]: Simplify (* a 0) into 0 0.327 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 0.327 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 0.327 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 0.327 * [taylor]: Taking taylor expansion of (* b d) in a 0.327 * [taylor]: Taking taylor expansion of b in a 0.327 * [backup-simplify]: Simplify b into b 0.327 * [taylor]: Taking taylor expansion of d in a 0.327 * [backup-simplify]: Simplify d into d 0.327 * [backup-simplify]: Simplify (* b d) into (* b d) 0.327 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.327 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 0.327 * [taylor]: Taking taylor expansion of (* a c) in a 0.327 * [taylor]: Taking taylor expansion of a in a 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [taylor]: Taking taylor expansion of c in a 0.327 * [backup-simplify]: Simplify c into c 0.327 * [backup-simplify]: Simplify (* 0 c) into 0 0.328 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 0.328 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 0.328 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 0.328 * [taylor]: Taking taylor expansion of (* b d) in a 0.328 * [taylor]: Taking taylor expansion of b in a 0.328 * [backup-simplify]: Simplify b into b 0.328 * [taylor]: Taking taylor expansion of d in a 0.328 * [backup-simplify]: Simplify d into d 0.328 * [backup-simplify]: Simplify (* b d) into (* b d) 0.328 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.328 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 0.328 * [taylor]: Taking taylor expansion of (* a c) in a 0.328 * [taylor]: Taking taylor expansion of a in a 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [taylor]: Taking taylor expansion of c in a 0.328 * [backup-simplify]: Simplify c into c 0.328 * [backup-simplify]: Simplify (* 0 c) into 0 0.329 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 0.329 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.329 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 0.329 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.329 * [taylor]: Taking taylor expansion of c in c 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (/ 1 1) into 1 0.329 * [taylor]: Taking taylor expansion of 1 in b 0.329 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 0.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 0.330 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 0.330 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 0.330 * [taylor]: Taking taylor expansion of (* b d) in c 0.330 * [taylor]: Taking taylor expansion of b in c 0.331 * [backup-simplify]: Simplify b into b 0.331 * [taylor]: Taking taylor expansion of d in c 0.331 * [backup-simplify]: Simplify d into d 0.331 * [backup-simplify]: Simplify (* b d) into (* b d) 0.331 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.331 * [taylor]: Taking taylor expansion of 0 in b 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [taylor]: Taking taylor expansion of 1 in d 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 0.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 0.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [taylor]: Taking taylor expansion of 0 in c 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 0.334 * [taylor]: Taking taylor expansion of (* b d) in b 0.334 * [taylor]: Taking taylor expansion of b in b 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [taylor]: Taking taylor expansion of d in b 0.334 * [backup-simplify]: Simplify d into d 0.334 * [backup-simplify]: Simplify (* 0 d) into 0 0.334 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 0.334 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.334 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.334 * [taylor]: Taking taylor expansion of d in d 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (/ 1 1) into 1 0.335 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [taylor]: Taking taylor expansion of 0 in b 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [taylor]: Taking taylor expansion of 0 in d 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [taylor]: Taking taylor expansion of 0 in d 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 0.338 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 0.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.339 * [backup-simplify]: Simplify (+ 0 0) into 0 0.339 * [taylor]: Taking taylor expansion of 0 in c 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [taylor]: Taking taylor expansion of 0 in b 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 0.339 * [taylor]: Taking taylor expansion of 0 in b 0.339 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.340 * [taylor]: Taking taylor expansion of 0 in b 0.340 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 0.341 * [taylor]: Taking taylor expansion of 0 in d 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [taylor]: Taking taylor expansion of 0 in d 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [taylor]: Taking taylor expansion of 0 in d 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [taylor]: Taking taylor expansion of 0 in d 0.341 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 0.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 0.345 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.346 * [backup-simplify]: Simplify (+ 0 0) into 0 0.346 * [taylor]: Taking taylor expansion of 0 in c 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [taylor]: Taking taylor expansion of 0 in b 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [taylor]: Taking taylor expansion of 0 in b 0.346 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 0.347 * [taylor]: Taking taylor expansion of 0 in b 0.347 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.348 * [taylor]: Taking taylor expansion of 0 in b 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [taylor]: Taking taylor expansion of 0 in d 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [taylor]: Taking taylor expansion of 0 in d 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [taylor]: Taking taylor expansion of 0 in d 0.348 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 0.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 0.350 * [taylor]: Taking taylor expansion of 0 in d 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [taylor]: Taking taylor expansion of 0 in d 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [taylor]: Taking taylor expansion of 0 in d 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [taylor]: Taking taylor expansion of 0 in d 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.351 * [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)) 0.351 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.351 * [backup-simplify]: Simplify (+ (* c c) (* d d)) into (+ (pow c 2) (pow d 2)) 0.351 * [approximate]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in (c d) around 0 0.351 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 0.351 * [taylor]: Taking taylor expansion of (pow c 2) in d 0.351 * [taylor]: Taking taylor expansion of c in d 0.351 * [backup-simplify]: Simplify c into c 0.351 * [taylor]: Taking taylor expansion of (pow d 2) in d 0.351 * [taylor]: Taking taylor expansion of d in d 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 0.351 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.351 * [taylor]: Taking taylor expansion of c in c 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.351 * [taylor]: Taking taylor expansion of d in c 0.351 * [backup-simplify]: Simplify d into d 0.351 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 0.351 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.351 * [taylor]: Taking taylor expansion of c in c 0.351 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.352 * [taylor]: Taking taylor expansion of d in c 0.352 * [backup-simplify]: Simplify d into d 0.352 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.352 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 0.352 * [taylor]: Taking taylor expansion of (pow d 2) in d 0.352 * [taylor]: Taking taylor expansion of d in d 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 0.352 * [backup-simplify]: Simplify (+ 0 0) into 0 0.352 * [taylor]: Taking taylor expansion of 0 in d 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify (* 1 1) into 1 0.353 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 0.354 * [backup-simplify]: Simplify (+ 1 0) into 1 0.354 * [taylor]: Taking taylor expansion of 1 in d 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify (* 1 1) into 1 0.354 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.356 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [taylor]: Taking taylor expansion of 0 in d 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.357 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.359 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 d))))) into 0 0.359 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [taylor]: Taking taylor expansion of 0 in d 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (+ (* 1 (pow (* d 1) 2)) (* 1 (pow (* 1 c) 2))) into (+ (pow d 2) (pow c 2)) 0.360 * [backup-simplify]: Simplify (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 0.360 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in (c d) around 0 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 0.360 * [taylor]: Taking taylor expansion of (pow c 2) in d 0.360 * [taylor]: Taking taylor expansion of c in d 0.360 * [backup-simplify]: Simplify c into c 0.360 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.360 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 0.360 * [taylor]: Taking taylor expansion of (pow d 2) in d 0.360 * [taylor]: Taking taylor expansion of d in d 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (* 1 1) into 1 0.363 * [backup-simplify]: Simplify (/ 1 1) into 1 0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 0.363 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.363 * [taylor]: Taking taylor expansion of c in c 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (* 1 1) into 1 0.364 * [backup-simplify]: Simplify (/ 1 1) into 1 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 0.364 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.364 * [taylor]: Taking taylor expansion of d in c 0.364 * [backup-simplify]: Simplify d into d 0.364 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.364 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 0.364 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.364 * [taylor]: Taking taylor expansion of c in c 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.365 * [backup-simplify]: Simplify (* 1 1) into 1 0.365 * [backup-simplify]: Simplify (/ 1 1) into 1 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 0.365 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.365 * [taylor]: Taking taylor expansion of d in c 0.365 * [backup-simplify]: Simplify d into d 0.365 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.365 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.366 * [backup-simplify]: Simplify (+ 1 0) into 1 0.366 * [taylor]: Taking taylor expansion of 1 in d 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (+ 0 0) into 0 0.368 * [taylor]: Taking taylor expansion of 0 in d 0.368 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 0.370 * [taylor]: Taking taylor expansion of (pow d 2) in d 0.370 * [taylor]: Taking taylor expansion of d in d 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (* 1 1) into 1 0.370 * [backup-simplify]: Simplify (/ 1 1) into 1 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 0.372 * [backup-simplify]: Simplify (+ 0 0) into 0 0.372 * [taylor]: Taking taylor expansion of 0 in d 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 0.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [taylor]: Taking taylor expansion of 0 in d 0.375 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 c))) 2)) (* 1 (pow (* (/ 1 (/ 1 d)) 1) 2))) into (+ (pow c 2) (pow d 2)) 0.377 * [backup-simplify]: Simplify (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 0.377 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in (c d) around 0 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 0.377 * [taylor]: Taking taylor expansion of (pow c 2) in d 0.377 * [taylor]: Taking taylor expansion of c in d 0.377 * [backup-simplify]: Simplify c into c 0.377 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.377 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 0.377 * [taylor]: Taking taylor expansion of (pow d 2) in d 0.377 * [taylor]: Taking taylor expansion of d in d 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (* 1 1) into 1 0.378 * [backup-simplify]: Simplify (/ 1 1) into 1 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 0.378 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.378 * [taylor]: Taking taylor expansion of c in c 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (* 1 1) into 1 0.378 * [backup-simplify]: Simplify (/ 1 1) into 1 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 0.378 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.378 * [taylor]: Taking taylor expansion of d in c 0.378 * [backup-simplify]: Simplify d into d 0.378 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.378 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 0.378 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.378 * [taylor]: Taking taylor expansion of c in c 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (* 1 1) into 1 0.379 * [backup-simplify]: Simplify (/ 1 1) into 1 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 0.379 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.379 * [taylor]: Taking taylor expansion of d in c 0.379 * [backup-simplify]: Simplify d into d 0.379 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.379 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.379 * [backup-simplify]: Simplify (+ 1 0) into 1 0.379 * [taylor]: Taking taylor expansion of 1 in d 0.379 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (+ 0 0) into 0 0.380 * [taylor]: Taking taylor expansion of 0 in d 0.380 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 0.382 * [taylor]: Taking taylor expansion of (pow d 2) in d 0.382 * [taylor]: Taking taylor expansion of d in d 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify (* 1 1) into 1 0.382 * [backup-simplify]: Simplify (/ 1 1) into 1 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 0.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 0.384 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [taylor]: Taking taylor expansion of 0 in d 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 0.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 0.387 * [backup-simplify]: Simplify (+ 0 0) into 0 0.387 * [taylor]: Taking taylor expansion of 0 in d 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- c)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- d))) 1) 2))) into (+ (pow c 2) (pow d 2)) 0.388 * * * [progress]: simplifying candidates 0.388 * * * * [progress]: [ 1 / 65 ] simplifiying candidate # 0.388 * * * * [progress]: [ 2 / 65 ] simplifiying candidate # 0.388 * [simplify]: Simplifying (- (log (+ (* a c) (* b d))) (log (+ (* c c) (* d d)))) 0.388 * * [simplify]: iters left: 6 (13 enodes) 0.391 * * [simplify]: iters left: 5 (45 enodes) 0.397 * * [simplify]: iters left: 4 (48 enodes) 0.410 * * [simplify]: Extracting #0: cost 1 inf + 0 0.410 * * [simplify]: Extracting #1: cost 5 inf + 0 0.410 * * [simplify]: Extracting #2: cost 10 inf + 0 0.410 * * [simplify]: Extracting #3: cost 16 inf + 0 0.410 * * [simplify]: Extracting #4: cost 24 inf + 0 0.411 * * [simplify]: Extracting #5: cost 18 inf + 87 0.411 * * [simplify]: Extracting #6: cost 11 inf + 613 0.412 * * [simplify]: Extracting #7: cost 4 inf + 1942 0.412 * * [simplify]: Extracting #8: cost 0 inf + 2912 0.413 * [simplify]: Simplified to (- (log (+ (* b d) (* a c))) (log (+ (* c c) (* d d)))) 0.413 * [simplify]: Simplified (2 1) to (λ (a b c d) (exp (- (log (+ (* b d) (* a c))) (log (+ (* c c) (* d d)))))) 0.414 * * * * [progress]: [ 3 / 65 ] simplifiying candidate # 0.414 * * * * [progress]: [ 4 / 65 ] simplifiying candidate # 0.414 * * * * [progress]: [ 5 / 65 ] simplifiying candidate # 0.414 * [simplify]: Simplifying (/ (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d)))) 0.414 * * [simplify]: iters left: 6 (15 enodes) 0.422 * * [simplify]: iters left: 5 (82 enodes) 0.463 * * [simplify]: iters left: 4 (310 enodes) 0.587 * * [simplify]: Extracting #0: cost 1 inf + 0 0.587 * * [simplify]: Extracting #1: cost 30 inf + 0 0.588 * * [simplify]: Extracting #2: cost 102 inf + 1 0.589 * * [simplify]: Extracting #3: cost 273 inf + 1 0.595 * * [simplify]: Extracting #4: cost 211 inf + 14207 0.614 * * [simplify]: Extracting #5: cost 31 inf + 51597 0.628 * * [simplify]: Extracting #6: cost 0 inf + 58414 0.643 * * [simplify]: Extracting #7: cost 0 inf + 58334 0.665 * [simplify]: Simplified to (* (* (/ (+ (* b d) (* a c)) (+ (* d d) (* c c))) (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))) (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))) 0.665 * [simplify]: Simplified (2 1) to (λ (a b c d) (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)))))) 0.665 * * * * [progress]: [ 6 / 65 ] simplifiying candidate # 0.665 * * * * [progress]: [ 7 / 65 ] simplifiying candidate # 0.665 * * * * [progress]: [ 8 / 65 ] simplifiying candidate # 0.665 * * * * [progress]: [ 9 / 65 ] simplifiying candidate # 0.665 * * * * [progress]: [ 10 / 65 ] simplifiying candidate # 0.665 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 0.665 * * [simplify]: iters left: 6 (15 enodes) 0.669 * * [simplify]: iters left: 5 (55 enodes) 0.676 * * [simplify]: iters left: 4 (70 enodes) 0.687 * * [simplify]: iters left: 3 (77 enodes) 0.708 * * [simplify]: iters left: 2 (80 enodes) 0.729 * * [simplify]: Extracting #0: cost 1 inf + 0 0.729 * * [simplify]: Extracting #1: cost 11 inf + 0 0.729 * * [simplify]: Extracting #2: cost 22 inf + 0 0.729 * * [simplify]: Extracting #3: cost 28 inf + 0 0.729 * * [simplify]: Extracting #4: cost 36 inf + 0 0.730 * * [simplify]: Extracting #5: cost 28 inf + 170 0.730 * * [simplify]: Extracting #6: cost 13 inf + 2650 0.733 * * [simplify]: Extracting #7: cost 2 inf + 7452 0.735 * * [simplify]: Extracting #8: cost 0 inf + 8260 0.738 * [simplify]: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c))))) 0.739 * [simplify]: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d)))))) 0.739 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d)))) 0.739 * * [simplify]: iters left: 6 (13 enodes) 0.745 * * [simplify]: iters left: 5 (43 enodes) 0.756 * * [simplify]: Extracting #0: cost 1 inf + 0 0.756 * * [simplify]: Extracting #1: cost 4 inf + 0 0.756 * * [simplify]: Extracting #2: cost 8 inf + 0 0.756 * * [simplify]: Extracting #3: cost 14 inf + 0 0.756 * * [simplify]: Extracting #4: cost 22 inf + 0 0.757 * * [simplify]: Extracting #5: cost 17 inf + 45 0.757 * * [simplify]: Extracting #6: cost 10 inf + 577 0.757 * * [simplify]: Extracting #7: cost 4 inf + 1312 0.758 * * [simplify]: Extracting #8: cost 1 inf + 2084 0.759 * * [simplify]: Extracting #9: cost 0 inf + 2528 0.760 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d)))) 0.760 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d)))))) 0.760 * * * * [progress]: [ 11 / 65 ] simplifiying candidate # 0.760 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))) 0.761 * * [simplify]: iters left: 6 (14 enodes) 0.767 * * [simplify]: iters left: 5 (48 enodes) 0.782 * * [simplify]: iters left: 4 (52 enodes) 0.796 * * [simplify]: iters left: 3 (55 enodes) 0.810 * * [simplify]: Extracting #0: cost 1 inf + 0 0.811 * * [simplify]: Extracting #1: cost 7 inf + 0 0.811 * * [simplify]: Extracting #2: cost 14 inf + 0 0.811 * * [simplify]: Extracting #3: cost 20 inf + 0 0.811 * * [simplify]: Extracting #4: cost 28 inf + 0 0.811 * * [simplify]: Extracting #5: cost 21 inf + 129 0.812 * * [simplify]: Extracting #6: cost 7 inf + 2086 0.813 * * [simplify]: Extracting #7: cost 0 inf + 4552 0.814 * [simplify]: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) 0.814 * [simplify]: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))) 0.815 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) 0.815 * * [simplify]: iters left: 6 (13 enodes) 0.821 * * [simplify]: iters left: 5 (43 enodes) 0.832 * * [simplify]: Extracting #0: cost 1 inf + 0 0.833 * * [simplify]: Extracting #1: cost 4 inf + 0 0.833 * * [simplify]: Extracting #2: cost 8 inf + 0 0.833 * * [simplify]: Extracting #3: cost 14 inf + 0 0.833 * * [simplify]: Extracting #4: cost 22 inf + 0 0.833 * * [simplify]: Extracting #5: cost 17 inf + 45 0.833 * * [simplify]: Extracting #6: cost 10 inf + 537 0.834 * * [simplify]: Extracting #7: cost 4 inf + 1232 0.834 * * [simplify]: Extracting #8: cost 1 inf + 1964 0.835 * * [simplify]: Extracting #9: cost 0 inf + 2368 0.836 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) 0.836 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))) 0.836 * * * * [progress]: [ 12 / 65 ] simplifiying candidate # 0.837 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) 0.837 * * [simplify]: iters left: 6 (11 enodes) 0.842 * * [simplify]: iters left: 5 (38 enodes) 0.854 * * [simplify]: iters left: 4 (48 enodes) 0.867 * * [simplify]: iters left: 3 (49 enodes) 0.880 * * [simplify]: Extracting #0: cost 1 inf + 0 0.880 * * [simplify]: Extracting #1: cost 5 inf + 0 0.880 * * [simplify]: Extracting #2: cost 7 inf + 1 0.880 * * [simplify]: Extracting #3: cost 10 inf + 1 0.880 * * [simplify]: Extracting #4: cost 16 inf + 1 0.881 * * [simplify]: Extracting #5: cost 11 inf + 47 0.881 * * [simplify]: Extracting #6: cost 5 inf + 828 0.882 * * [simplify]: Extracting #7: cost 0 inf + 1807 0.882 * [simplify]: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 0.882 * [simplify]: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d))))) 0.883 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d))) 0.883 * * [simplify]: iters left: 6 (12 enodes) 0.888 * * [simplify]: iters left: 5 (40 enodes) 0.899 * * [simplify]: Extracting #0: cost 1 inf + 0 0.899 * * [simplify]: Extracting #1: cost 4 inf + 0 0.899 * * [simplify]: Extracting #2: cost 9 inf + 0 0.899 * * [simplify]: Extracting #3: cost 16 inf + 0 0.899 * * [simplify]: Extracting #4: cost 16 inf + 84 0.899 * * [simplify]: Extracting #5: cost 7 inf + 538 0.900 * * [simplify]: Extracting #6: cost 0 inf + 1964 0.901 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (+ (* c c) (* d d))) 0.901 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (/ (cbrt (+ (* b d) (* a c))) (+ (* c c) (* d d))))) 0.901 * * * * [progress]: [ 13 / 65 ] simplifiying candidate # 0.901 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 0.901 * * [simplify]: iters left: 6 (14 enodes) 0.908 * * [simplify]: iters left: 5 (48 enodes) 0.919 * * [simplify]: iters left: 4 (50 enodes) 0.927 * * [simplify]: Extracting #0: cost 1 inf + 0 0.927 * * [simplify]: Extracting #1: cost 6 inf + 0 0.927 * * [simplify]: Extracting #2: cost 12 inf + 0 0.927 * * [simplify]: Extracting #3: cost 18 inf + 0 0.927 * * [simplify]: Extracting #4: cost 26 inf + 0 0.928 * * [simplify]: Extracting #5: cost 19 inf + 129 0.928 * * [simplify]: Extracting #6: cost 11 inf + 871 0.928 * * [simplify]: Extracting #7: cost 4 inf + 2246 0.929 * * [simplify]: Extracting #8: cost 0 inf + 3740 0.929 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 0.929 * [simplify]: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d)))))) 0.930 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d)))) 0.930 * * [simplify]: iters left: 6 (13 enodes) 0.933 * * [simplify]: iters left: 5 (43 enodes) 0.938 * * [simplify]: Extracting #0: cost 1 inf + 0 0.939 * * [simplify]: Extracting #1: cost 4 inf + 0 0.939 * * [simplify]: Extracting #2: cost 8 inf + 0 0.939 * * [simplify]: Extracting #3: cost 14 inf + 0 0.939 * * [simplify]: Extracting #4: cost 22 inf + 0 0.939 * * [simplify]: Extracting #5: cost 17 inf + 45 0.939 * * [simplify]: Extracting #6: cost 10 inf + 577 0.939 * * [simplify]: Extracting #7: cost 4 inf + 1272 0.939 * * [simplify]: Extracting #8: cost 1 inf + 1964 0.940 * * [simplify]: Extracting #9: cost 0 inf + 2368 0.940 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d)))) 0.940 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d)))))) 0.940 * * * * [progress]: [ 14 / 65 ] simplifiying candidate # 0.941 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) 0.941 * * [simplify]: iters left: 6 (13 enodes) 0.943 * * [simplify]: iters left: 5 (43 enodes) 0.949 * * [simplify]: Extracting #0: cost 1 inf + 0 0.949 * * [simplify]: Extracting #1: cost 4 inf + 0 0.949 * * [simplify]: Extracting #2: cost 8 inf + 0 0.949 * * [simplify]: Extracting #3: cost 14 inf + 0 0.949 * * [simplify]: Extracting #4: cost 22 inf + 0 0.949 * * [simplify]: Extracting #5: cost 17 inf + 45 0.949 * * [simplify]: Extracting #6: cost 10 inf + 537 0.950 * * [simplify]: Extracting #7: cost 4 inf + 1192 0.951 * * [simplify]: Extracting #8: cost 1 inf + 1844 0.951 * * [simplify]: Extracting #9: cost 0 inf + 2208 0.952 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) 0.952 * [simplify]: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))) 0.952 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) 0.953 * * [simplify]: iters left: 6 (13 enodes) 0.958 * * [simplify]: iters left: 5 (43 enodes) 0.970 * * [simplify]: Extracting #0: cost 1 inf + 0 0.970 * * [simplify]: Extracting #1: cost 4 inf + 0 0.970 * * [simplify]: Extracting #2: cost 8 inf + 0 0.970 * * [simplify]: Extracting #3: cost 14 inf + 0 0.970 * * [simplify]: Extracting #4: cost 22 inf + 0 0.970 * * [simplify]: Extracting #5: cost 17 inf + 45 0.970 * * [simplify]: Extracting #6: cost 10 inf + 537 0.971 * * [simplify]: Extracting #7: cost 4 inf + 1192 0.972 * * [simplify]: Extracting #8: cost 1 inf + 1844 0.972 * * [simplify]: Extracting #9: cost 0 inf + 2208 0.973 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) 0.973 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))) 0.973 * * * * [progress]: [ 15 / 65 ] simplifiying candidate # 0.974 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) 1) 0.974 * * [simplify]: iters left: 6 (10 enodes) 0.979 * * [simplify]: iters left: 5 (33 enodes) 0.989 * * [simplify]: iters left: 4 (35 enodes) 0.999 * * [simplify]: Extracting #0: cost 1 inf + 0 0.999 * * [simplify]: Extracting #1: cost 4 inf + 0 0.999 * * [simplify]: Extracting #2: cost 6 inf + 1 0.999 * * [simplify]: Extracting #3: cost 12 inf + 1 0.999 * * [simplify]: Extracting #4: cost 7 inf + 47 0.999 * * [simplify]: Extracting #5: cost 0 inf + 749 1.000 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c))) 1.000 * [simplify]: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d))))) 1.000 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d))) 1.000 * * [simplify]: iters left: 6 (12 enodes) 1.006 * * [simplify]: iters left: 5 (40 enodes) 1.017 * * [simplify]: Extracting #0: cost 1 inf + 0 1.017 * * [simplify]: Extracting #1: cost 4 inf + 0 1.017 * * [simplify]: Extracting #2: cost 9 inf + 0 1.017 * * [simplify]: Extracting #3: cost 16 inf + 0 1.017 * * [simplify]: Extracting #4: cost 16 inf + 84 1.017 * * [simplify]: Extracting #5: cost 7 inf + 538 1.018 * * [simplify]: Extracting #6: cost 0 inf + 1804 1.019 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (+ (* c c) (* d d))) 1.019 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) 1) (/ (sqrt (+ (* b d) (* a c))) (+ (* c c) (* d d))))) 1.019 * * * * [progress]: [ 16 / 65 ] simplifiying candidate # 1.019 * [simplify]: Simplifying (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 1.019 * * [simplify]: iters left: 6 (9 enodes) 1.024 * * [simplify]: iters left: 5 (32 enodes) 1.034 * * [simplify]: iters left: 4 (36 enodes) 1.046 * * [simplify]: Extracting #0: cost 1 inf + 0 1.046 * * [simplify]: Extracting #1: cost 6 inf + 0 1.046 * * [simplify]: Extracting #2: cost 9 inf + 1 1.047 * * [simplify]: Extracting #3: cost 12 inf + 1 1.047 * * [simplify]: Extracting #4: cost 16 inf + 1 1.047 * * [simplify]: Extracting #5: cost 14 inf + 3 1.047 * * [simplify]: Extracting #6: cost 10 inf + 248 1.047 * * [simplify]: Extracting #7: cost 3 inf + 1543 1.048 * * [simplify]: Extracting #8: cost 0 inf + 2351 1.049 * [simplify]: Simplified to (/ (/ 1 (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* c c) (* d d)))) 1.049 * [simplify]: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (cbrt (+ (* c c) (* d d)))))) 1.049 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (cbrt (+ (* c c) (* d d)))) 1.049 * * [simplify]: iters left: 6 (12 enodes) 1.055 * * [simplify]: iters left: 5 (40 enodes) 1.065 * * [simplify]: Extracting #0: cost 1 inf + 0 1.065 * * [simplify]: Extracting #1: cost 4 inf + 0 1.065 * * [simplify]: Extracting #2: cost 9 inf + 0 1.065 * * [simplify]: Extracting #3: cost 18 inf + 0 1.066 * * [simplify]: Extracting #4: cost 11 inf + 372 1.066 * * [simplify]: Extracting #5: cost 1 inf + 1596 1.067 * * [simplify]: Extracting #6: cost 0 inf + 1960 1.067 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (cbrt (+ (* c c) (* d d)))) 1.067 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (cbrt (+ (* c c) (* d d)))))) 1.068 * * * * [progress]: [ 17 / 65 ] simplifiying candidate # 1.068 * [simplify]: Simplifying (/ 1 (sqrt (+ (* c c) (* d d)))) 1.068 * * [simplify]: iters left: 6 (8 enodes) 1.072 * * [simplify]: iters left: 5 (27 enodes) 1.081 * * [simplify]: iters left: 4 (29 enodes) 1.089 * * [simplify]: Extracting #0: cost 1 inf + 0 1.089 * * [simplify]: Extracting #1: cost 4 inf + 0 1.090 * * [simplify]: Extracting #2: cost 5 inf + 1 1.090 * * [simplify]: Extracting #3: cost 8 inf + 1 1.090 * * [simplify]: Extracting #4: cost 12 inf + 1 1.090 * * [simplify]: Extracting #5: cost 10 inf + 3 1.090 * * [simplify]: Extracting #6: cost 5 inf + 289 1.090 * * [simplify]: Extracting #7: cost 1 inf + 938 1.090 * * [simplify]: Extracting #8: cost 0 inf + 1141 1.090 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) 1.090 * [simplify]: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) 1.091 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) 1.091 * * [simplify]: iters left: 6 (12 enodes) 1.093 * * [simplify]: iters left: 5 (40 enodes) 1.098 * * [simplify]: Extracting #0: cost 1 inf + 0 1.098 * * [simplify]: Extracting #1: cost 4 inf + 0 1.098 * * [simplify]: Extracting #2: cost 9 inf + 0 1.099 * * [simplify]: Extracting #3: cost 18 inf + 0 1.099 * * [simplify]: Extracting #4: cost 11 inf + 372 1.099 * * [simplify]: Extracting #5: cost 1 inf + 1476 1.099 * * [simplify]: Extracting #6: cost 0 inf + 1800 1.100 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) 1.100 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) 1.100 * * * * [progress]: [ 18 / 65 ] simplifiying candidate # 1.100 * [simplify]: Simplifying (/ 1 1) 1.100 * * [simplify]: iters left: 2 (2 enodes) 1.101 * * [simplify]: iters left: 1 (6 enodes) 1.102 * * [simplify]: Extracting #0: cost 1 inf + 0 1.102 * * [simplify]: Extracting #1: cost 0 inf + 1 1.102 * [simplify]: Simplified to 1 1.102 * [simplify]: Simplified (2 1) to (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))) 1.102 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) 1.102 * * [simplify]: iters left: 6 (11 enodes) 1.105 * * [simplify]: iters left: 5 (37 enodes) 1.110 * * [simplify]: Extracting #0: cost 1 inf + 0 1.110 * * [simplify]: Extracting #1: cost 4 inf + 0 1.110 * * [simplify]: Extracting #2: cost 10 inf + 0 1.110 * * [simplify]: Extracting #3: cost 18 inf + 0 1.110 * * [simplify]: Extracting #4: cost 9 inf + 291 1.110 * * [simplify]: Extracting #5: cost 1 inf + 1272 1.111 * * [simplify]: Extracting #6: cost 0 inf + 1396 1.111 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) 1.111 * [simplify]: Simplified (2 2) to (λ (a b c d) (* 1 (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))) 1.111 * * * * [progress]: [ 19 / 65 ] simplifiying candidate # 1.111 * * * * [progress]: [ 20 / 65 ] simplifiying candidate # 1.111 * * * * [progress]: [ 21 / 65 ] simplifiying candidate # 1.111 * * * * [progress]: [ 22 / 65 ] simplifiying candidate # 1.111 * [simplify]: Simplifying (cbrt (+ (* c c) (* d d))) 1.111 * * [simplify]: iters left: 5 (6 enodes) 1.113 * * [simplify]: iters left: 4 (19 enodes) 1.115 * * [simplify]: Extracting #0: cost 1 inf + 0 1.115 * * [simplify]: Extracting #1: cost 3 inf + 0 1.115 * * [simplify]: Extracting #2: cost 6 inf + 0 1.115 * * [simplify]: Extracting #3: cost 10 inf + 0 1.115 * * [simplify]: Extracting #4: cost 6 inf + 84 1.115 * * [simplify]: Extracting #5: cost 0 inf + 814 1.116 * [simplify]: Simplified to (cbrt (+ (* c c) (* d d))) 1.116 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (cbrt (+ (* c c) (* d d))))) 1.116 * * * * [progress]: [ 23 / 65 ] simplifiying candidate # 1.116 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d))) 1.116 * * [simplify]: iters left: 5 (6 enodes) 1.117 * * [simplify]: iters left: 4 (19 enodes) 1.122 * * [simplify]: Extracting #0: cost 1 inf + 0 1.122 * * [simplify]: Extracting #1: cost 3 inf + 0 1.122 * * [simplify]: Extracting #2: cost 6 inf + 0 1.122 * * [simplify]: Extracting #3: cost 10 inf + 0 1.122 * * [simplify]: Extracting #4: cost 6 inf + 84 1.122 * * [simplify]: Extracting #5: cost 0 inf + 734 1.123 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d))) 1.123 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) 1.123 * * * * [progress]: [ 24 / 65 ] simplifiying candidate # 1.123 * [simplify]: Simplifying (+ (* c c) (* d d)) 1.123 * * [simplify]: iters left: 4 (5 enodes) 1.125 * * [simplify]: iters left: 3 (16 enodes) 1.129 * * [simplify]: Extracting #0: cost 1 inf + 0 1.130 * * [simplify]: Extracting #1: cost 4 inf + 0 1.130 * * [simplify]: Extracting #2: cost 8 inf + 0 1.130 * * [simplify]: Extracting #3: cost 4 inf + 84 1.130 * * [simplify]: Extracting #4: cost 0 inf + 410 1.130 * [simplify]: Simplified to (+ (* c c) (* d d)) 1.130 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) 1) (+ (* c c) (* d d)))) 1.130 * * * * [progress]: [ 25 / 65 ] simplifiying candidate # 1.130 * [simplify]: Simplifying (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1.131 * * [simplify]: iters left: 6 (9 enodes) 1.134 * * [simplify]: iters left: 5 (30 enodes) 1.138 * * [simplify]: Extracting #0: cost 1 inf + 0 1.138 * * [simplify]: Extracting #1: cost 3 inf + 0 1.138 * * [simplify]: Extracting #2: cost 5 inf + 0 1.138 * * [simplify]: Extracting #3: cost 8 inf + 0 1.138 * * [simplify]: Extracting #4: cost 14 inf + 0 1.138 * * [simplify]: Extracting #5: cost 9 inf + 46 1.138 * * [simplify]: Extracting #6: cost 4 inf + 500 1.138 * * [simplify]: Extracting #7: cost 1 inf + 1072 1.138 * * [simplify]: Extracting #8: cost 0 inf + 1316 1.139 * [simplify]: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1.139 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (+ (* c c) (* d d)) (cbrt (+ (* a c) (* b d)))))) 1.139 * * * * [progress]: [ 26 / 65 ] simplifiying candidate # 1.139 * [simplify]: Simplifying (sqrt (+ (* a c) (* b d))) 1.139 * * [simplify]: iters left: 5 (8 enodes) 1.141 * * [simplify]: iters left: 4 (27 enodes) 1.144 * * [simplify]: Extracting #0: cost 1 inf + 0 1.144 * * [simplify]: Extracting #1: cost 3 inf + 0 1.144 * * [simplify]: Extracting #2: cost 6 inf + 0 1.144 * * [simplify]: Extracting #3: cost 12 inf + 0 1.144 * * [simplify]: Extracting #4: cost 8 inf + 4 1.145 * * [simplify]: Extracting #5: cost 1 inf + 584 1.145 * * [simplify]: Extracting #6: cost 0 inf + 748 1.145 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c))) 1.145 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ (sqrt (+ (* b d) (* a c))) (/ (+ (* c c) (* d d)) (sqrt (+ (* a c) (* b d)))))) 1.145 * * * * [progress]: [ 27 / 65 ] simplifiying candidate # 1.145 * * * * [progress]: [ 28 / 65 ] simplifiying candidate # 1.145 * [simplify]: Simplifying (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))) 1.145 * * [simplify]: iters left: 6 (9 enodes) 1.148 * * [simplify]: iters left: 5 (49 enodes) 1.163 * * [simplify]: iters left: 4 (116 enodes) 1.211 * * [simplify]: iters left: 3 (231 enodes) 1.270 * * [simplify]: iters left: 2 (363 enodes) 1.391 * * [simplify]: Extracting #0: cost 1 inf + 0 1.391 * * [simplify]: Extracting #1: cost 20 inf + 0 1.391 * * [simplify]: Extracting #2: cost 146 inf + 0 1.392 * * [simplify]: Extracting #3: cost 200 inf + 1989 1.399 * * [simplify]: Extracting #4: cost 63 inf + 22827 1.412 * * [simplify]: Extracting #5: cost 0 inf + 34174 1.426 * * [simplify]: Extracting #6: cost 0 inf + 34134 1.437 * [simplify]: Simplified to (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d))) 1.437 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (+ (pow (* c c) 3) (pow (* d d) 3))) (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d))))) 1.437 * * * * [progress]: [ 29 / 65 ] simplifiying candidate # 1.438 * [simplify]: Simplifying (- (* c c) (* d d)) 1.438 * * [simplify]: iters left: 4 (5 enodes) 1.439 * * [simplify]: iters left: 3 (20 enodes) 1.442 * * [simplify]: iters left: 2 (33 enodes) 1.447 * * [simplify]: iters left: 1 (50 enodes) 1.456 * * [simplify]: Extracting #0: cost 1 inf + 0 1.456 * * [simplify]: Extracting #1: cost 11 inf + 0 1.456 * * [simplify]: Extracting #2: cost 29 inf + 0 1.456 * * [simplify]: Extracting #3: cost 19 inf + 455 1.456 * * [simplify]: Extracting #4: cost 0 inf + 2130 1.457 * * [simplify]: Extracting #5: cost 0 inf + 1970 1.458 * [simplify]: Simplified to (* (+ c d) (- c d)) 1.458 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (* (+ c d) (- c d)))) 1.458 * * * * [progress]: [ 30 / 65 ] simplifiying candidate # 1.459 * [simplify]: Simplifying (+ (pow (* a c) 3) (pow (* b d) 3)) 1.459 * * [simplify]: iters left: 5 (10 enodes) 1.465 * * [simplify]: iters left: 4 (52 enodes) 1.486 * * [simplify]: iters left: 3 (145 enodes) 1.534 * * [simplify]: iters left: 2 (335 enodes) 1.654 * * [simplify]: Extracting #0: cost 1 inf + 0 1.654 * * [simplify]: Extracting #1: cost 4 inf + 0 1.654 * * [simplify]: Extracting #2: cost 51 inf + 0 1.655 * * [simplify]: Extracting #3: cost 124 inf + 950 1.656 * * [simplify]: Extracting #4: cost 89 inf + 8397 1.659 * * [simplify]: Extracting #5: cost 14 inf + 28399 1.663 * * [simplify]: Extracting #6: cost 1 inf + 33494 1.667 * * [simplify]: Extracting #7: cost 0 inf + 33747 1.671 * [simplify]: Simplified to (+ (* (* (* b d) (* b d)) (* b d)) (* (* a c) (* (* a c) (* a c)))) 1.671 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ (+ (* (* (* b d) (* b d)) (* b d)) (* (* a c) (* (* a c) (* a c)))) (* (+ (* c c) (* d d)) (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d))))))) 1.671 * * * * [progress]: [ 31 / 65 ] simplifiying candidate # 1.671 * [simplify]: Simplifying (- (* (* a c) (* a c)) (* (* b d) (* b d))) 1.671 * * [simplify]: iters left: 6 (9 enodes) 1.674 * * [simplify]: iters left: 5 (48 enodes) 1.682 * * [simplify]: iters left: 4 (111 enodes) 1.718 * * [simplify]: iters left: 3 (181 enodes) 1.753 * * [simplify]: iters left: 2 (262 enodes) 1.817 * * [simplify]: iters left: 1 (473 enodes) 1.956 * * [simplify]: Extracting #0: cost 1 inf + 0 1.956 * * [simplify]: Extracting #1: cost 22 inf + 0 1.957 * * [simplify]: Extracting #2: cost 110 inf + 0 1.958 * * [simplify]: Extracting #3: cost 142 inf + 1440 1.965 * * [simplify]: Extracting #4: cost 41 inf + 15973 1.979 * * [simplify]: Extracting #5: cost 0 inf + 23364 1.992 * * [simplify]: Extracting #6: cost 0 inf + 23124 2.006 * [simplify]: Simplified to (- (* (* a c) (* a c)) (* (* b d) (* b d))) 2.006 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ (- (* (* a c) (* a c)) (* (* b d) (* b d))) (* (+ (* c c) (* d d)) (- (* a c) (* b d))))) 2.006 * * * * [progress]: [ 32 / 65 ] simplifiying candidate #real (real->posit16 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))> 2.006 * * * * [progress]: [ 33 / 65 ] simplifiying candidate # 2.006 * [simplify]: Simplifying (* (exp (* a c)) (exp (* b d))) 2.007 * * [simplify]: iters left: 5 (9 enodes) 2.011 * * [simplify]: iters left: 4 (36 enodes) 2.021 * * [simplify]: iters left: 3 (55 enodes) 2.032 * * [simplify]: iters left: 2 (91 enodes) 2.051 * * [simplify]: iters left: 1 (191 enodes) 2.139 * * [simplify]: Extracting #0: cost 1 inf + 0 2.139 * * [simplify]: Extracting #1: cost 38 inf + 0 2.139 * * [simplify]: Extracting #2: cost 150 inf + 0 2.141 * * [simplify]: Extracting #3: cost 173 inf + 772 2.142 * * [simplify]: Extracting #4: cost 148 inf + 4628 2.144 * * [simplify]: Extracting #5: cost 93 inf + 18511 2.150 * * [simplify]: Extracting #6: cost 27 inf + 61555 2.158 * * [simplify]: Extracting #7: cost 0 inf + 82217 2.166 * [simplify]: Simplified to (exp (+ (* a c) (* b d))) 2.166 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (log (exp (+ (* a c) (* b d)))) (+ (* c c) (* d d)))) 2.166 * * * * [progress]: [ 34 / 65 ] simplifiying candidate # 2.167 * * * * [progress]: [ 35 / 65 ] simplifiying candidate # 2.167 * * * * [progress]: [ 36 / 65 ] simplifiying candidate # 2.167 * * * * [progress]: [ 37 / 65 ] simplifiying candidate # 2.167 * * * * [progress]: [ 38 / 65 ] simplifiying candidate # 2.167 * * * * [progress]: [ 39 / 65 ] simplifiying candidate # 2.167 * * * * [progress]: [ 40 / 65 ] simplifiying candidate # 2.167 * * * * [progress]: [ 41 / 65 ] simplifiying candidate # 2.167 * * * * [progress]: [ 42 / 65 ] simplifiying candidate # 2.167 * * * * [progress]: [ 43 / 65 ] simplifiying candidate #real (real->posit16 (+ (* a c) (* b d)))) (+ (* c c) (* d d))))> 2.167 * * * * [progress]: [ 44 / 65 ] simplifiying candidate # 2.167 * * * * [progress]: [ 45 / 65 ] simplifiying candidate # 2.167 * [simplify]: Simplifying (* (exp (* c c)) (exp (* d d))) 2.167 * * [simplify]: iters left: 5 (7 enodes) 2.169 * * [simplify]: iters left: 4 (28 enodes) 2.177 * * [simplify]: iters left: 3 (43 enodes) 2.191 * * [simplify]: iters left: 2 (75 enodes) 2.219 * * [simplify]: iters left: 1 (169 enodes) 2.301 * * [simplify]: Extracting #0: cost 1 inf + 0 2.301 * * [simplify]: Extracting #1: cost 28 inf + 0 2.302 * * [simplify]: Extracting #2: cost 119 inf + 0 2.303 * * [simplify]: Extracting #3: cost 136 inf + 1135 2.305 * * [simplify]: Extracting #4: cost 131 inf + 1568 2.307 * * [simplify]: Extracting #5: cost 99 inf + 8302 2.317 * * [simplify]: Extracting #6: cost 11 inf + 60490 2.334 * * [simplify]: Extracting #7: cost 0 inf + 69564 2.348 * [simplify]: Simplified to (exp (+ (* c c) (* d d))) 2.349 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (+ (* a c) (* b d)) (log (exp (+ (* c c) (* d d)))))) 2.349 * * * * [progress]: [ 46 / 65 ] simplifiying candidate # 2.349 * * * * [progress]: [ 47 / 65 ] simplifiying candidate # 2.349 * * * * [progress]: [ 48 / 65 ] simplifiying candidate # 2.349 * * * * [progress]: [ 49 / 65 ] simplifiying candidate # 2.349 * * * * [progress]: [ 50 / 65 ] simplifiying candidate # 2.349 * * * * [progress]: [ 51 / 65 ] simplifiying candidate # 2.349 * * * * [progress]: [ 52 / 65 ] simplifiying candidate # 2.349 * * * * [progress]: [ 53 / 65 ] simplifiying candidate # 2.349 * * * * [progress]: [ 54 / 65 ] simplifiying candidate # 2.349 * * * * [progress]: [ 55 / 65 ] simplifiying candidate #real (real->posit16 (+ (* c c) (* d d))))))> 2.349 * * * * [progress]: [ 56 / 65 ] simplifiying candidate # 2.349 * * * * [progress]: [ 57 / 65 ] simplifiying candidate # 2.350 * [simplify]: Simplifying 0 2.350 * * [simplify]: iters left: 0 (1 enodes) 2.351 * * [simplify]: Extracting #0: cost 1 inf + 0 2.351 * * [simplify]: Extracting #1: cost 0 inf + 1 2.351 * [simplify]: Simplified to 0 2.351 * [simplify]: Simplified (2) to (λ (a b c d) 0) 2.351 * * * * [progress]: [ 58 / 65 ] simplifiying candidate # 2.352 * [simplify]: Simplifying 0 2.352 * * [simplify]: iters left: 0 (1 enodes) 2.353 * * [simplify]: Extracting #0: cost 1 inf + 0 2.353 * * [simplify]: Extracting #1: cost 0 inf + 1 2.353 * [simplify]: Simplified to 0 2.353 * [simplify]: Simplified (2) to (λ (a b c d) 0) 2.353 * * * * [progress]: [ 59 / 65 ] simplifiying candidate # 2.353 * [simplify]: Simplifying 0 2.353 * * [simplify]: iters left: 0 (1 enodes) 2.354 * * [simplify]: Extracting #0: cost 1 inf + 0 2.354 * * [simplify]: Extracting #1: cost 0 inf + 1 2.354 * [simplify]: Simplified to 0 2.354 * [simplify]: Simplified (2) to (λ (a b c d) 0) 2.354 * * * * [progress]: [ 60 / 65 ] simplifiying candidate # 2.354 * [simplify]: Simplifying 0 2.355 * * [simplify]: iters left: 0 (1 enodes) 2.355 * * [simplify]: Extracting #0: cost 1 inf + 0 2.355 * * [simplify]: Extracting #1: cost 0 inf + 1 2.356 * [simplify]: Simplified to 0 2.356 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ 0 (+ (* c c) (* d d)))) 2.356 * * * * [progress]: [ 61 / 65 ] simplifiying candidate # 2.356 * [simplify]: Simplifying (+ (* a c) (* b d)) 2.356 * * [simplify]: iters left: 4 (7 enodes) 2.359 * * [simplify]: iters left: 3 (24 enodes) 2.365 * * [simplify]: Extracting #0: cost 1 inf + 0 2.365 * * [simplify]: Extracting #1: cost 4 inf + 0 2.365 * * [simplify]: Extracting #2: cost 10 inf + 0 2.366 * * [simplify]: Extracting #3: cost 6 inf + 4 2.366 * * [simplify]: Extracting #4: cost 1 inf + 296 2.366 * * [simplify]: Extracting #5: cost 0 inf + 420 2.366 * [simplify]: Simplified to (+ (* b d) (* a c)) 2.366 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))) 2.366 * * * * [progress]: [ 62 / 65 ] simplifiying candidate # 2.367 * [simplify]: Simplifying (+ (* a c) (* b d)) 2.367 * * [simplify]: iters left: 4 (7 enodes) 2.370 * * [simplify]: iters left: 3 (24 enodes) 2.376 * * [simplify]: Extracting #0: cost 1 inf + 0 2.376 * * [simplify]: Extracting #1: cost 4 inf + 0 2.376 * * [simplify]: Extracting #2: cost 10 inf + 0 2.376 * * [simplify]: Extracting #3: cost 6 inf + 4 2.376 * * [simplify]: Extracting #4: cost 1 inf + 296 2.376 * * [simplify]: Extracting #5: cost 0 inf + 420 2.377 * [simplify]: Simplified to (+ (* b d) (* a c)) 2.377 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))) 2.377 * * * * [progress]: [ 63 / 65 ] simplifiying candidate # 2.377 * [simplify]: Simplifying (+ (pow d 2) (pow c 2)) 2.377 * * [simplify]: iters left: 3 (6 enodes) 2.381 * * [simplify]: iters left: 2 (27 enodes) 2.389 * * [simplify]: iters left: 1 (31 enodes) 2.397 * * [simplify]: Extracting #0: cost 1 inf + 0 2.397 * * [simplify]: Extracting #1: cost 4 inf + 0 2.397 * * [simplify]: Extracting #2: cost 9 inf + 0 2.397 * * [simplify]: Extracting #3: cost 6 inf + 3 2.397 * * [simplify]: Extracting #4: cost 1 inf + 370 2.397 * * [simplify]: Extracting #5: cost 0 inf + 411 2.398 * [simplify]: Simplified to (+ (* d d) (* c c)) 2.398 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (+ (* a c) (* b d)) (+ (* d d) (* c c)))) 2.398 * * * * [progress]: [ 64 / 65 ] simplifiying candidate # 2.398 * [simplify]: Simplifying (+ (pow c 2) (pow d 2)) 2.398 * * [simplify]: iters left: 3 (6 enodes) 2.402 * * [simplify]: iters left: 2 (27 enodes) 2.410 * * [simplify]: iters left: 1 (31 enodes) 2.418 * * [simplify]: Extracting #0: cost 1 inf + 0 2.418 * * [simplify]: Extracting #1: cost 4 inf + 0 2.418 * * [simplify]: Extracting #2: cost 9 inf + 0 2.418 * * [simplify]: Extracting #3: cost 6 inf + 3 2.418 * * [simplify]: Extracting #4: cost 1 inf + 370 2.418 * * [simplify]: Extracting #5: cost 0 inf + 411 2.418 * [simplify]: Simplified to (+ (* c c) (* d d)) 2.418 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) 2.419 * * * * [progress]: [ 65 / 65 ] simplifiying candidate # 2.419 * [simplify]: Simplifying (+ (pow c 2) (pow d 2)) 2.419 * * [simplify]: iters left: 3 (6 enodes) 2.423 * * [simplify]: iters left: 2 (27 enodes) 2.431 * * [simplify]: iters left: 1 (31 enodes) 2.439 * * [simplify]: Extracting #0: cost 1 inf + 0 2.439 * * [simplify]: Extracting #1: cost 4 inf + 0 2.439 * * [simplify]: Extracting #2: cost 9 inf + 0 2.440 * * [simplify]: Extracting #3: cost 6 inf + 3 2.440 * * [simplify]: Extracting #4: cost 1 inf + 370 2.440 * * [simplify]: Extracting #5: cost 0 inf + 411 2.440 * [simplify]: Simplified to (+ (* c c) (* d d)) 2.440 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) 2.440 * * * [progress]: adding candidates to table 3.209 * * [progress]: iteration 2 / 4 3.209 * * * [progress]: picking best candidate 3.263 * * * * [pick]: Picked # 3.263 * * * [progress]: localizing error 3.311 * * * [progress]: generating rewritten candidates 3.311 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.324 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 3.335 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.382 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 3.390 * * * [progress]: generating series expansions 3.390 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.391 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2))) 3.391 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0 3.391 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d 3.391 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 3.391 * [taylor]: Taking taylor expansion of (pow c 2) in d 3.391 * [taylor]: Taking taylor expansion of c in d 3.391 * [backup-simplify]: Simplify c into c 3.391 * [taylor]: Taking taylor expansion of (pow d 2) in d 3.391 * [taylor]: Taking taylor expansion of d in d 3.391 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify 1 into 1 3.391 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.391 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 3.391 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c 3.391 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 3.392 * [backup-simplify]: Simplify (+ 0 0) into 0 3.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 3.392 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 3.392 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 3.392 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.392 * [taylor]: Taking taylor expansion of c in c 3.392 * [backup-simplify]: Simplify 0 into 0 3.392 * [backup-simplify]: Simplify 1 into 1 3.392 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.392 * [taylor]: Taking taylor expansion of d in c 3.392 * [backup-simplify]: Simplify d into d 3.392 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.392 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 3.392 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 3.392 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.392 * [backup-simplify]: Simplify (+ 0 0) into 0 3.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 3.392 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 3.392 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 3.392 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.392 * [taylor]: Taking taylor expansion of c in c 3.392 * [backup-simplify]: Simplify 0 into 0 3.392 * [backup-simplify]: Simplify 1 into 1 3.393 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.393 * [taylor]: Taking taylor expansion of d in c 3.393 * [backup-simplify]: Simplify d into d 3.393 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.393 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 3.393 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 3.393 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.393 * [backup-simplify]: Simplify (+ 0 0) into 0 3.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 3.393 * [taylor]: Taking taylor expansion of d in d 3.393 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify 1 into 1 3.393 * [backup-simplify]: Simplify 0 into 0 3.393 * [taylor]: Taking taylor expansion of 0 in d 3.393 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify 1 into 1 3.394 * [backup-simplify]: Simplify (* 1 1) into 1 3.394 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 3.394 * [backup-simplify]: Simplify (+ 1 0) into 1 3.395 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) 3.395 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d 3.395 * [taylor]: Taking taylor expansion of 1/2 in d 3.395 * [backup-simplify]: Simplify 1/2 into 1/2 3.395 * [taylor]: Taking taylor expansion of d in d 3.395 * [backup-simplify]: Simplify 0 into 0 3.395 * [backup-simplify]: Simplify 1 into 1 3.395 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.396 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.397 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 3.397 * [backup-simplify]: Simplify (+ 0 0) into 0 3.397 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 3.397 * [taylor]: Taking taylor expansion of 0 in d 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify (* 1 (* d 1)) into d 3.398 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 3.398 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 3.398 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 3.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 3.398 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 3.398 * [taylor]: Taking taylor expansion of (pow c 2) in d 3.398 * [taylor]: Taking taylor expansion of c in d 3.398 * [backup-simplify]: Simplify c into c 3.398 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.398 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 3.398 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 3.398 * [taylor]: Taking taylor expansion of (pow d 2) in d 3.398 * [taylor]: Taking taylor expansion of d in d 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify 1 into 1 3.398 * [backup-simplify]: Simplify (* 1 1) into 1 3.399 * [backup-simplify]: Simplify (/ 1 1) into 1 3.399 * [backup-simplify]: Simplify (+ 0 1) into 1 3.399 * [backup-simplify]: Simplify (sqrt 1) into 1 3.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.400 * [backup-simplify]: Simplify (+ 0 0) into 0 3.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.401 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 3.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 3.401 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 3.401 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.401 * [taylor]: Taking taylor expansion of c in c 3.401 * [backup-simplify]: Simplify 0 into 0 3.401 * [backup-simplify]: Simplify 1 into 1 3.401 * [backup-simplify]: Simplify (* 1 1) into 1 3.401 * [backup-simplify]: Simplify (/ 1 1) into 1 3.401 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 3.401 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.401 * [taylor]: Taking taylor expansion of d in c 3.401 * [backup-simplify]: Simplify d into d 3.401 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.401 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.402 * [backup-simplify]: Simplify (+ 1 0) into 1 3.402 * [backup-simplify]: Simplify (sqrt 1) into 1 3.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.403 * [backup-simplify]: Simplify (+ 0 0) into 0 3.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.403 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 3.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 3.403 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 3.403 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.403 * [taylor]: Taking taylor expansion of c in c 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify 1 into 1 3.404 * [backup-simplify]: Simplify (* 1 1) into 1 3.404 * [backup-simplify]: Simplify (/ 1 1) into 1 3.404 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 3.404 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.404 * [taylor]: Taking taylor expansion of d in c 3.404 * [backup-simplify]: Simplify d into d 3.404 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.404 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.404 * [backup-simplify]: Simplify (+ 1 0) into 1 3.405 * [backup-simplify]: Simplify (sqrt 1) into 1 3.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.406 * [backup-simplify]: Simplify (+ 0 0) into 0 3.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.406 * [taylor]: Taking taylor expansion of 1 in d 3.406 * [backup-simplify]: Simplify 1 into 1 3.406 * [taylor]: Taking taylor expansion of 0 in d 3.406 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify 1 into 1 3.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.407 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 3.408 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 3.408 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 3.408 * [taylor]: Taking taylor expansion of 1/2 in d 3.408 * [backup-simplify]: Simplify 1/2 into 1/2 3.408 * [taylor]: Taking taylor expansion of (pow d 2) in d 3.408 * [taylor]: Taking taylor expansion of d in d 3.408 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify 1 into 1 3.409 * [backup-simplify]: Simplify (* 1 1) into 1 3.409 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.410 * [backup-simplify]: Simplify 0 into 0 3.410 * [backup-simplify]: Simplify 0 into 0 3.410 * [backup-simplify]: Simplify 0 into 0 3.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.411 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.412 * [backup-simplify]: Simplify (+ 0 0) into 0 3.412 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 3.412 * [taylor]: Taking taylor expansion of 0 in d 3.412 * [backup-simplify]: Simplify 0 into 0 3.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.413 * [backup-simplify]: Simplify 0 into 0 3.413 * [backup-simplify]: Simplify 0 into 0 3.413 * [backup-simplify]: Simplify 0 into 0 3.414 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c 3.414 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 3.414 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 3.414 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 3.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 3.414 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 3.414 * [taylor]: Taking taylor expansion of (pow c 2) in d 3.414 * [taylor]: Taking taylor expansion of c in d 3.414 * [backup-simplify]: Simplify c into c 3.414 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.414 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 3.414 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 3.414 * [taylor]: Taking taylor expansion of (pow d 2) in d 3.414 * [taylor]: Taking taylor expansion of d in d 3.414 * [backup-simplify]: Simplify 0 into 0 3.414 * [backup-simplify]: Simplify 1 into 1 3.414 * [backup-simplify]: Simplify (* 1 1) into 1 3.414 * [backup-simplify]: Simplify (/ 1 1) into 1 3.415 * [backup-simplify]: Simplify (+ 0 1) into 1 3.415 * [backup-simplify]: Simplify (sqrt 1) into 1 3.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.416 * [backup-simplify]: Simplify (+ 0 0) into 0 3.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.416 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 3.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 3.417 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 3.417 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.417 * [taylor]: Taking taylor expansion of c in c 3.417 * [backup-simplify]: Simplify 0 into 0 3.417 * [backup-simplify]: Simplify 1 into 1 3.417 * [backup-simplify]: Simplify (* 1 1) into 1 3.417 * [backup-simplify]: Simplify (/ 1 1) into 1 3.417 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 3.417 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.417 * [taylor]: Taking taylor expansion of d in c 3.417 * [backup-simplify]: Simplify d into d 3.417 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.417 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.418 * [backup-simplify]: Simplify (+ 1 0) into 1 3.418 * [backup-simplify]: Simplify (sqrt 1) into 1 3.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.419 * [backup-simplify]: Simplify (+ 0 0) into 0 3.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.419 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 3.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 3.419 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 3.419 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.419 * [taylor]: Taking taylor expansion of c in c 3.419 * [backup-simplify]: Simplify 0 into 0 3.419 * [backup-simplify]: Simplify 1 into 1 3.420 * [backup-simplify]: Simplify (* 1 1) into 1 3.420 * [backup-simplify]: Simplify (/ 1 1) into 1 3.420 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 3.420 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.420 * [taylor]: Taking taylor expansion of d in c 3.420 * [backup-simplify]: Simplify d into d 3.420 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.420 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.420 * [backup-simplify]: Simplify (+ 1 0) into 1 3.421 * [backup-simplify]: Simplify (sqrt 1) into 1 3.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.422 * [backup-simplify]: Simplify (+ 0 0) into 0 3.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.422 * [taylor]: Taking taylor expansion of 1 in d 3.422 * [backup-simplify]: Simplify 1 into 1 3.422 * [taylor]: Taking taylor expansion of 0 in d 3.422 * [backup-simplify]: Simplify 0 into 0 3.422 * [backup-simplify]: Simplify 1 into 1 3.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.423 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 3.424 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 3.424 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 3.424 * [taylor]: Taking taylor expansion of 1/2 in d 3.424 * [backup-simplify]: Simplify 1/2 into 1/2 3.424 * [taylor]: Taking taylor expansion of (pow d 2) in d 3.424 * [taylor]: Taking taylor expansion of d in d 3.424 * [backup-simplify]: Simplify 0 into 0 3.424 * [backup-simplify]: Simplify 1 into 1 3.425 * [backup-simplify]: Simplify (* 1 1) into 1 3.425 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.426 * [backup-simplify]: Simplify 0 into 0 3.426 * [backup-simplify]: Simplify 0 into 0 3.426 * [backup-simplify]: Simplify 0 into 0 3.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.427 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.427 * [backup-simplify]: Simplify (+ 0 0) into 0 3.428 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 3.428 * [taylor]: Taking taylor expansion of 0 in d 3.428 * [backup-simplify]: Simplify 0 into 0 3.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.429 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) 3.429 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 3.429 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2))) 3.429 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0 3.429 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d 3.429 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 3.429 * [taylor]: Taking taylor expansion of (pow c 2) in d 3.429 * [taylor]: Taking taylor expansion of c in d 3.429 * [backup-simplify]: Simplify c into c 3.429 * [taylor]: Taking taylor expansion of (pow d 2) in d 3.429 * [taylor]: Taking taylor expansion of d in d 3.429 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify 1 into 1 3.429 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.430 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 3.430 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c 3.430 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 3.430 * [backup-simplify]: Simplify (+ 0 0) into 0 3.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 3.430 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 3.430 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 3.430 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.430 * [taylor]: Taking taylor expansion of c in c 3.430 * [backup-simplify]: Simplify 0 into 0 3.430 * [backup-simplify]: Simplify 1 into 1 3.430 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.430 * [taylor]: Taking taylor expansion of d in c 3.430 * [backup-simplify]: Simplify d into d 3.430 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.430 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 3.430 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 3.430 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.431 * [backup-simplify]: Simplify (+ 0 0) into 0 3.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 3.431 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 3.431 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 3.431 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.431 * [taylor]: Taking taylor expansion of c in c 3.431 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify 1 into 1 3.431 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.431 * [taylor]: Taking taylor expansion of d in c 3.431 * [backup-simplify]: Simplify d into d 3.431 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.431 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 3.431 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 3.431 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.431 * [backup-simplify]: Simplify (+ 0 0) into 0 3.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 3.431 * [taylor]: Taking taylor expansion of d in d 3.431 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify 1 into 1 3.431 * [backup-simplify]: Simplify 0 into 0 3.431 * [taylor]: Taking taylor expansion of 0 in d 3.431 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify 1 into 1 3.432 * [backup-simplify]: Simplify (* 1 1) into 1 3.432 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 3.432 * [backup-simplify]: Simplify (+ 1 0) into 1 3.433 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) 3.433 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d 3.433 * [taylor]: Taking taylor expansion of 1/2 in d 3.433 * [backup-simplify]: Simplify 1/2 into 1/2 3.433 * [taylor]: Taking taylor expansion of d in d 3.433 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify 1 into 1 3.433 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.435 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 3.435 * [backup-simplify]: Simplify (+ 0 0) into 0 3.435 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 3.435 * [taylor]: Taking taylor expansion of 0 in d 3.435 * [backup-simplify]: Simplify 0 into 0 3.435 * [backup-simplify]: Simplify 0 into 0 3.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.436 * [backup-simplify]: Simplify 0 into 0 3.436 * [backup-simplify]: Simplify 0 into 0 3.436 * [backup-simplify]: Simplify (* 1 (* d 1)) into d 3.436 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 3.436 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 3.436 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 3.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 3.436 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 3.436 * [taylor]: Taking taylor expansion of (pow c 2) in d 3.436 * [taylor]: Taking taylor expansion of c in d 3.436 * [backup-simplify]: Simplify c into c 3.436 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.436 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 3.436 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 3.436 * [taylor]: Taking taylor expansion of (pow d 2) in d 3.436 * [taylor]: Taking taylor expansion of d in d 3.436 * [backup-simplify]: Simplify 0 into 0 3.436 * [backup-simplify]: Simplify 1 into 1 3.436 * [backup-simplify]: Simplify (* 1 1) into 1 3.437 * [backup-simplify]: Simplify (/ 1 1) into 1 3.437 * [backup-simplify]: Simplify (+ 0 1) into 1 3.437 * [backup-simplify]: Simplify (sqrt 1) into 1 3.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.441 * [backup-simplify]: Simplify (+ 0 0) into 0 3.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 3.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 3.441 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 3.441 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.441 * [taylor]: Taking taylor expansion of c in c 3.441 * [backup-simplify]: Simplify 0 into 0 3.441 * [backup-simplify]: Simplify 1 into 1 3.441 * [backup-simplify]: Simplify (* 1 1) into 1 3.442 * [backup-simplify]: Simplify (/ 1 1) into 1 3.442 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 3.442 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.442 * [taylor]: Taking taylor expansion of d in c 3.442 * [backup-simplify]: Simplify d into d 3.442 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.442 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.442 * [backup-simplify]: Simplify (+ 1 0) into 1 3.442 * [backup-simplify]: Simplify (sqrt 1) into 1 3.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.443 * [backup-simplify]: Simplify (+ 0 0) into 0 3.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.444 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 3.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 3.444 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 3.444 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.444 * [taylor]: Taking taylor expansion of c in c 3.444 * [backup-simplify]: Simplify 0 into 0 3.444 * [backup-simplify]: Simplify 1 into 1 3.444 * [backup-simplify]: Simplify (* 1 1) into 1 3.444 * [backup-simplify]: Simplify (/ 1 1) into 1 3.444 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 3.444 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.444 * [taylor]: Taking taylor expansion of d in c 3.444 * [backup-simplify]: Simplify d into d 3.445 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.445 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.445 * [backup-simplify]: Simplify (+ 1 0) into 1 3.445 * [backup-simplify]: Simplify (sqrt 1) into 1 3.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.446 * [backup-simplify]: Simplify (+ 0 0) into 0 3.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.447 * [taylor]: Taking taylor expansion of 1 in d 3.447 * [backup-simplify]: Simplify 1 into 1 3.447 * [taylor]: Taking taylor expansion of 0 in d 3.447 * [backup-simplify]: Simplify 0 into 0 3.447 * [backup-simplify]: Simplify 1 into 1 3.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.448 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 3.449 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 3.449 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 3.449 * [taylor]: Taking taylor expansion of 1/2 in d 3.449 * [backup-simplify]: Simplify 1/2 into 1/2 3.449 * [taylor]: Taking taylor expansion of (pow d 2) in d 3.449 * [taylor]: Taking taylor expansion of d in d 3.449 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify 1 into 1 3.449 * [backup-simplify]: Simplify (* 1 1) into 1 3.449 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.451 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.452 * [backup-simplify]: Simplify (+ 0 0) into 0 3.452 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 3.452 * [taylor]: Taking taylor expansion of 0 in d 3.452 * [backup-simplify]: Simplify 0 into 0 3.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.453 * [backup-simplify]: Simplify 0 into 0 3.453 * [backup-simplify]: Simplify 0 into 0 3.453 * [backup-simplify]: Simplify 0 into 0 3.453 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c 3.454 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 3.454 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 3.454 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 3.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 3.454 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 3.454 * [taylor]: Taking taylor expansion of (pow c 2) in d 3.454 * [taylor]: Taking taylor expansion of c in d 3.454 * [backup-simplify]: Simplify c into c 3.454 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.454 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 3.454 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 3.454 * [taylor]: Taking taylor expansion of (pow d 2) in d 3.454 * [taylor]: Taking taylor expansion of d in d 3.454 * [backup-simplify]: Simplify 0 into 0 3.454 * [backup-simplify]: Simplify 1 into 1 3.454 * [backup-simplify]: Simplify (* 1 1) into 1 3.454 * [backup-simplify]: Simplify (/ 1 1) into 1 3.455 * [backup-simplify]: Simplify (+ 0 1) into 1 3.455 * [backup-simplify]: Simplify (sqrt 1) into 1 3.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.456 * [backup-simplify]: Simplify (+ 0 0) into 0 3.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.456 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 3.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 3.456 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 3.456 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.456 * [taylor]: Taking taylor expansion of c in c 3.456 * [backup-simplify]: Simplify 0 into 0 3.456 * [backup-simplify]: Simplify 1 into 1 3.457 * [backup-simplify]: Simplify (* 1 1) into 1 3.457 * [backup-simplify]: Simplify (/ 1 1) into 1 3.457 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 3.457 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.457 * [taylor]: Taking taylor expansion of d in c 3.457 * [backup-simplify]: Simplify d into d 3.457 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.457 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.457 * [backup-simplify]: Simplify (+ 1 0) into 1 3.458 * [backup-simplify]: Simplify (sqrt 1) into 1 3.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.459 * [backup-simplify]: Simplify (+ 0 0) into 0 3.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.459 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 3.459 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 3.459 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 3.459 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.459 * [taylor]: Taking taylor expansion of c in c 3.459 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify 1 into 1 3.459 * [backup-simplify]: Simplify (* 1 1) into 1 3.460 * [backup-simplify]: Simplify (/ 1 1) into 1 3.460 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 3.460 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.460 * [taylor]: Taking taylor expansion of d in c 3.460 * [backup-simplify]: Simplify d into d 3.460 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.460 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.460 * [backup-simplify]: Simplify (+ 1 0) into 1 3.460 * [backup-simplify]: Simplify (sqrt 1) into 1 3.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.461 * [backup-simplify]: Simplify (+ 0 0) into 0 3.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.462 * [taylor]: Taking taylor expansion of 1 in d 3.462 * [backup-simplify]: Simplify 1 into 1 3.462 * [taylor]: Taking taylor expansion of 0 in d 3.462 * [backup-simplify]: Simplify 0 into 0 3.462 * [backup-simplify]: Simplify 1 into 1 3.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.463 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 3.464 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 3.464 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 3.464 * [taylor]: Taking taylor expansion of 1/2 in d 3.464 * [backup-simplify]: Simplify 1/2 into 1/2 3.464 * [taylor]: Taking taylor expansion of (pow d 2) in d 3.464 * [taylor]: Taking taylor expansion of d in d 3.464 * [backup-simplify]: Simplify 0 into 0 3.464 * [backup-simplify]: Simplify 1 into 1 3.465 * [backup-simplify]: Simplify (* 1 1) into 1 3.465 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.466 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify 0 into 0 3.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.467 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.468 * [backup-simplify]: Simplify (+ 0 0) into 0 3.468 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 3.468 * [taylor]: Taking taylor expansion of 0 in d 3.468 * [backup-simplify]: Simplify 0 into 0 3.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.469 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) 3.469 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 3.470 * [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))))) 3.470 * [approximate]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in (a c b d) around 0 3.470 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in d 3.470 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d 3.470 * [taylor]: Taking taylor expansion of (* a c) in d 3.470 * [taylor]: Taking taylor expansion of a in d 3.470 * [backup-simplify]: Simplify a into a 3.470 * [taylor]: Taking taylor expansion of c in d 3.470 * [backup-simplify]: Simplify c into c 3.470 * [taylor]: Taking taylor expansion of (* b d) in d 3.470 * [taylor]: Taking taylor expansion of b in d 3.470 * [backup-simplify]: Simplify b into b 3.470 * [taylor]: Taking taylor expansion of d in d 3.470 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify 1 into 1 3.470 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in d 3.470 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in d 3.470 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 3.470 * [taylor]: Taking taylor expansion of (pow c 2) in d 3.470 * [taylor]: Taking taylor expansion of c in d 3.470 * [backup-simplify]: Simplify c into c 3.470 * [taylor]: Taking taylor expansion of (pow d 2) in d 3.470 * [taylor]: Taking taylor expansion of d in d 3.470 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify 1 into 1 3.470 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.470 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 3.470 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 3.470 * [backup-simplify]: Simplify (sqrt (/ 1 (pow c 2))) into (/ 1 c) 3.470 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 3.470 * [backup-simplify]: Simplify (+ 0 0) into 0 3.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 3.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow c 2))))) into 0 3.471 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in b 3.471 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b 3.471 * [taylor]: Taking taylor expansion of (* a c) in b 3.471 * [taylor]: Taking taylor expansion of a in b 3.471 * [backup-simplify]: Simplify a into a 3.471 * [taylor]: Taking taylor expansion of c in b 3.471 * [backup-simplify]: Simplify c into c 3.471 * [taylor]: Taking taylor expansion of (* b d) in b 3.471 * [taylor]: Taking taylor expansion of b in b 3.471 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify 1 into 1 3.471 * [taylor]: Taking taylor expansion of d in b 3.471 * [backup-simplify]: Simplify d into d 3.471 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in b 3.471 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in b 3.471 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b 3.471 * [taylor]: Taking taylor expansion of (pow c 2) in b 3.471 * [taylor]: Taking taylor expansion of c in b 3.471 * [backup-simplify]: Simplify c into c 3.471 * [taylor]: Taking taylor expansion of (pow d 2) in b 3.471 * [taylor]: Taking taylor expansion of d in b 3.471 * [backup-simplify]: Simplify d into d 3.471 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.471 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.471 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 3.471 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2))) 3.471 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) 3.471 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 3.471 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.472 * [backup-simplify]: Simplify (+ 0 0) into 0 3.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 3.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0 3.472 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c 3.472 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c 3.472 * [taylor]: Taking taylor expansion of (* a c) in c 3.472 * [taylor]: Taking taylor expansion of a in c 3.472 * [backup-simplify]: Simplify a into a 3.472 * [taylor]: Taking taylor expansion of c in c 3.472 * [backup-simplify]: Simplify 0 into 0 3.472 * [backup-simplify]: Simplify 1 into 1 3.472 * [taylor]: Taking taylor expansion of (* b d) in c 3.472 * [taylor]: Taking taylor expansion of b in c 3.472 * [backup-simplify]: Simplify b into b 3.472 * [taylor]: Taking taylor expansion of d in c 3.472 * [backup-simplify]: Simplify d into d 3.472 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c 3.472 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c 3.472 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 3.472 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.472 * [taylor]: Taking taylor expansion of c in c 3.472 * [backup-simplify]: Simplify 0 into 0 3.472 * [backup-simplify]: Simplify 1 into 1 3.472 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.472 * [taylor]: Taking taylor expansion of d in c 3.472 * [backup-simplify]: Simplify d into d 3.472 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.472 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 3.472 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.472 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d) 3.473 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.473 * [backup-simplify]: Simplify (+ 0 0) into 0 3.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0 3.473 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a 3.473 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 3.473 * [taylor]: Taking taylor expansion of (* a c) in a 3.473 * [taylor]: Taking taylor expansion of a in a 3.473 * [backup-simplify]: Simplify 0 into 0 3.473 * [backup-simplify]: Simplify 1 into 1 3.473 * [taylor]: Taking taylor expansion of c in a 3.473 * [backup-simplify]: Simplify c into c 3.473 * [taylor]: Taking taylor expansion of (* b d) in a 3.473 * [taylor]: Taking taylor expansion of b in a 3.473 * [backup-simplify]: Simplify b into b 3.473 * [taylor]: Taking taylor expansion of d in a 3.473 * [backup-simplify]: Simplify d into d 3.473 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a 3.473 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a 3.473 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a 3.473 * [taylor]: Taking taylor expansion of (pow c 2) in a 3.473 * [taylor]: Taking taylor expansion of c in a 3.473 * [backup-simplify]: Simplify c into c 3.473 * [taylor]: Taking taylor expansion of (pow d 2) in a 3.473 * [taylor]: Taking taylor expansion of d in a 3.473 * [backup-simplify]: Simplify d into d 3.473 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.473 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.473 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 3.474 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2))) 3.474 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) 3.474 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 3.474 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.474 * [backup-simplify]: Simplify (+ 0 0) into 0 3.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 3.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0 3.474 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a 3.474 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 3.474 * [taylor]: Taking taylor expansion of (* a c) in a 3.474 * [taylor]: Taking taylor expansion of a in a 3.474 * [backup-simplify]: Simplify 0 into 0 3.474 * [backup-simplify]: Simplify 1 into 1 3.474 * [taylor]: Taking taylor expansion of c in a 3.474 * [backup-simplify]: Simplify c into c 3.474 * [taylor]: Taking taylor expansion of (* b d) in a 3.474 * [taylor]: Taking taylor expansion of b in a 3.474 * [backup-simplify]: Simplify b into b 3.475 * [taylor]: Taking taylor expansion of d in a 3.475 * [backup-simplify]: Simplify d into d 3.475 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a 3.475 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a 3.475 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a 3.475 * [taylor]: Taking taylor expansion of (pow c 2) in a 3.475 * [taylor]: Taking taylor expansion of c in a 3.475 * [backup-simplify]: Simplify c into c 3.475 * [taylor]: Taking taylor expansion of (pow d 2) in a 3.475 * [taylor]: Taking taylor expansion of d in a 3.475 * [backup-simplify]: Simplify d into d 3.475 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.475 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.475 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 3.475 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2))) 3.475 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) 3.475 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 3.475 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.475 * [backup-simplify]: Simplify (+ 0 0) into 0 3.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 3.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0 3.476 * [backup-simplify]: Simplify (* 0 c) into 0 3.476 * [backup-simplify]: Simplify (* b d) into (* b d) 3.476 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 3.476 * [backup-simplify]: Simplify (* (* b d) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) into (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) 3.476 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) in c 3.476 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c 3.476 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c 3.476 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 3.476 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.476 * [taylor]: Taking taylor expansion of c in c 3.476 * [backup-simplify]: Simplify 0 into 0 3.476 * [backup-simplify]: Simplify 1 into 1 3.476 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.476 * [taylor]: Taking taylor expansion of d in c 3.476 * [backup-simplify]: Simplify d into d 3.476 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.476 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 3.476 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.476 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d) 3.476 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.477 * [backup-simplify]: Simplify (+ 0 0) into 0 3.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0 3.477 * [taylor]: Taking taylor expansion of (* b d) in c 3.477 * [taylor]: Taking taylor expansion of b in c 3.477 * [backup-simplify]: Simplify b into b 3.477 * [taylor]: Taking taylor expansion of d in c 3.477 * [backup-simplify]: Simplify d into d 3.477 * [backup-simplify]: Simplify (* b d) into (* b d) 3.477 * [backup-simplify]: Simplify (* (/ 1 d) (* b d)) into b 3.477 * [taylor]: Taking taylor expansion of b in b 3.477 * [backup-simplify]: Simplify 0 into 0 3.477 * [backup-simplify]: Simplify 1 into 1 3.477 * [taylor]: Taking taylor expansion of 0 in d 3.477 * [backup-simplify]: Simplify 0 into 0 3.477 * [backup-simplify]: Simplify 0 into 0 3.477 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 3.477 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 3.477 * [backup-simplify]: Simplify (+ c 0) into c 3.478 * [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))))) 3.478 * [taylor]: Taking taylor expansion of (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c 3.478 * [taylor]: Taking taylor expansion of c in c 3.478 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify 1 into 1 3.478 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c 3.478 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c 3.478 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 3.478 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.478 * [taylor]: Taking taylor expansion of c in c 3.478 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify 1 into 1 3.478 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.478 * [taylor]: Taking taylor expansion of d in c 3.478 * [backup-simplify]: Simplify d into d 3.478 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.478 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 3.478 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.478 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d) 3.478 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.478 * [backup-simplify]: Simplify (+ 0 0) into 0 3.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0 3.479 * [backup-simplify]: Simplify (* 0 (/ 1 d)) into 0 3.479 * [taylor]: Taking taylor expansion of 0 in b 3.479 * [backup-simplify]: Simplify 0 into 0 3.479 * [taylor]: Taking taylor expansion of 0 in d 3.479 * [backup-simplify]: Simplify 0 into 0 3.479 * [backup-simplify]: Simplify 0 into 0 3.479 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 3.479 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (* 0 (* b d))) into 0 3.479 * [taylor]: Taking taylor expansion of 0 in b 3.479 * [backup-simplify]: Simplify 0 into 0 3.479 * [taylor]: Taking taylor expansion of 0 in d 3.479 * [backup-simplify]: Simplify 0 into 0 3.479 * [backup-simplify]: Simplify 0 into 0 3.479 * [taylor]: Taking taylor expansion of 1 in d 3.479 * [backup-simplify]: Simplify 1 into 1 3.479 * [backup-simplify]: Simplify 1 into 1 3.479 * [backup-simplify]: Simplify 0 into 0 3.479 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 3.480 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 3.480 * [backup-simplify]: Simplify (+ 0 0) into 0 3.480 * [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 3.481 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0 3.481 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 3.481 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 3.482 * [backup-simplify]: Simplify (+ 0 0) into 0 3.482 * [backup-simplify]: Simplify (+ (* (* b d) 0) (+ (* c 0) (* 0 (sqrt (/ 1 (+ (pow c 2) (pow d 2))))))) into 0 3.482 * [taylor]: Taking taylor expansion of 0 in c 3.482 * [backup-simplify]: Simplify 0 into 0 3.482 * [taylor]: Taking taylor expansion of 0 in b 3.482 * [backup-simplify]: Simplify 0 into 0 3.482 * [taylor]: Taking taylor expansion of 0 in d 3.482 * [backup-simplify]: Simplify 0 into 0 3.482 * [backup-simplify]: Simplify 0 into 0 3.482 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1 d))) into (/ 1 d) 3.482 * [taylor]: Taking taylor expansion of (/ 1 d) in b 3.482 * [taylor]: Taking taylor expansion of d in b 3.482 * [backup-simplify]: Simplify d into d 3.482 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 3.482 * [taylor]: Taking taylor expansion of (/ 1 d) in d 3.482 * [taylor]: Taking taylor expansion of d in d 3.482 * [backup-simplify]: Simplify 0 into 0 3.482 * [backup-simplify]: Simplify 1 into 1 3.483 * [backup-simplify]: Simplify (/ 1 1) into 1 3.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.483 * [backup-simplify]: Simplify 0 into 0 3.484 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 3.484 * [backup-simplify]: Simplify (* 1 1) into 1 3.484 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 3.485 * [backup-simplify]: Simplify (+ 1 0) into 1 3.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ 1 (pow d 4))) 3.485 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 4))) (pow 0 2) (+)) (* 2 (/ 1 d))) into (/ -1/2 (pow d 3)) 3.486 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* (/ -1/2 (pow d 3)) (* b d)))) into (- (* 1/2 (/ b (pow d 2)))) 3.486 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ b (pow d 2)))) in b 3.486 * [taylor]: Taking taylor expansion of (* 1/2 (/ b (pow d 2))) in b 3.486 * [taylor]: Taking taylor expansion of 1/2 in b 3.486 * [backup-simplify]: Simplify 1/2 into 1/2 3.486 * [taylor]: Taking taylor expansion of (/ b (pow d 2)) in b 3.486 * [taylor]: Taking taylor expansion of b in b 3.486 * [backup-simplify]: Simplify 0 into 0 3.486 * [backup-simplify]: Simplify 1 into 1 3.486 * [taylor]: Taking taylor expansion of (pow d 2) in b 3.486 * [taylor]: Taking taylor expansion of d in b 3.486 * [backup-simplify]: Simplify d into d 3.486 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.486 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.486 * [taylor]: Taking taylor expansion of 0 in d 3.486 * [backup-simplify]: Simplify 0 into 0 3.486 * [backup-simplify]: Simplify 0 into 0 3.486 * [taylor]: Taking taylor expansion of 0 in d 3.486 * [backup-simplify]: Simplify 0 into 0 3.486 * [backup-simplify]: Simplify 0 into 0 3.486 * [taylor]: Taking taylor expansion of 0 in d 3.486 * [backup-simplify]: Simplify 0 into 0 3.486 * [backup-simplify]: Simplify 0 into 0 3.486 * [backup-simplify]: Simplify (* 1 (* 1 (* b (* 1 1)))) into b 3.487 * [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)))))) 3.487 * [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 3.487 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d 3.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 3.487 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 3.487 * [taylor]: Taking taylor expansion of (* b d) in d 3.487 * [taylor]: Taking taylor expansion of b in d 3.487 * [backup-simplify]: Simplify b into b 3.487 * [taylor]: Taking taylor expansion of d in d 3.487 * [backup-simplify]: Simplify 0 into 0 3.487 * [backup-simplify]: Simplify 1 into 1 3.487 * [backup-simplify]: Simplify (* b 0) into 0 3.487 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 3.487 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 3.487 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 3.487 * [taylor]: Taking taylor expansion of (* a c) in d 3.487 * [taylor]: Taking taylor expansion of a in d 3.487 * [backup-simplify]: Simplify a into a 3.487 * [taylor]: Taking taylor expansion of c in d 3.487 * [backup-simplify]: Simplify c into c 3.487 * [backup-simplify]: Simplify (* a c) into (* a c) 3.487 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 3.487 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d 3.487 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 3.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 3.488 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 3.488 * [taylor]: Taking taylor expansion of (pow c 2) in d 3.488 * [taylor]: Taking taylor expansion of c in d 3.488 * [backup-simplify]: Simplify c into c 3.488 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.488 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 3.488 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 3.488 * [taylor]: Taking taylor expansion of (pow d 2) in d 3.488 * [taylor]: Taking taylor expansion of d in d 3.488 * [backup-simplify]: Simplify 0 into 0 3.488 * [backup-simplify]: Simplify 1 into 1 3.488 * [backup-simplify]: Simplify (* 1 1) into 1 3.488 * [backup-simplify]: Simplify (/ 1 1) into 1 3.488 * [backup-simplify]: Simplify (+ 0 1) into 1 3.489 * [backup-simplify]: Simplify (/ 1 1) into 1 3.489 * [backup-simplify]: Simplify (sqrt 1) into 1 3.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.490 * [backup-simplify]: Simplify (+ 0 0) into 0 3.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.491 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b 3.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 3.491 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 3.491 * [taylor]: Taking taylor expansion of (* b d) in b 3.491 * [taylor]: Taking taylor expansion of b in b 3.491 * [backup-simplify]: Simplify 0 into 0 3.491 * [backup-simplify]: Simplify 1 into 1 3.491 * [taylor]: Taking taylor expansion of d in b 3.491 * [backup-simplify]: Simplify d into d 3.491 * [backup-simplify]: Simplify (* 0 d) into 0 3.491 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 3.491 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 3.491 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 3.491 * [taylor]: Taking taylor expansion of (* a c) in b 3.491 * [taylor]: Taking taylor expansion of a in b 3.491 * [backup-simplify]: Simplify a into a 3.491 * [taylor]: Taking taylor expansion of c in b 3.491 * [backup-simplify]: Simplify c into c 3.491 * [backup-simplify]: Simplify (* a c) into (* a c) 3.491 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 3.492 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b 3.492 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 3.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 3.492 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 3.492 * [taylor]: Taking taylor expansion of (pow c 2) in b 3.492 * [taylor]: Taking taylor expansion of c in b 3.492 * [backup-simplify]: Simplify c into c 3.492 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.492 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 3.492 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 3.492 * [taylor]: Taking taylor expansion of (pow d 2) in b 3.492 * [taylor]: Taking taylor expansion of d in b 3.492 * [backup-simplify]: Simplify d into d 3.492 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.492 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.492 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3.492 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 3.492 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 3.492 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 3.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 3.492 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.493 * [backup-simplify]: Simplify (+ 0 0) into 0 3.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.493 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c 3.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 3.493 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 3.493 * [taylor]: Taking taylor expansion of (* b d) in c 3.493 * [taylor]: Taking taylor expansion of b in c 3.493 * [backup-simplify]: Simplify b into b 3.493 * [taylor]: Taking taylor expansion of d in c 3.493 * [backup-simplify]: Simplify d into d 3.493 * [backup-simplify]: Simplify (* b d) into (* b d) 3.493 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.493 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 3.493 * [taylor]: Taking taylor expansion of (* a c) in c 3.493 * [taylor]: Taking taylor expansion of a in c 3.493 * [backup-simplify]: Simplify a into a 3.493 * [taylor]: Taking taylor expansion of c in c 3.493 * [backup-simplify]: Simplify 0 into 0 3.493 * [backup-simplify]: Simplify 1 into 1 3.493 * [backup-simplify]: Simplify (* a 0) into 0 3.494 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 3.494 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 3.494 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 3.494 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 3.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 3.494 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 3.494 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.494 * [taylor]: Taking taylor expansion of c in c 3.494 * [backup-simplify]: Simplify 0 into 0 3.494 * [backup-simplify]: Simplify 1 into 1 3.494 * [backup-simplify]: Simplify (* 1 1) into 1 3.494 * [backup-simplify]: Simplify (/ 1 1) into 1 3.494 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 3.494 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.494 * [taylor]: Taking taylor expansion of d in c 3.494 * [backup-simplify]: Simplify d into d 3.494 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.495 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.495 * [backup-simplify]: Simplify (+ 1 0) into 1 3.495 * [backup-simplify]: Simplify (/ 1 1) into 1 3.495 * [backup-simplify]: Simplify (sqrt 1) into 1 3.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.496 * [backup-simplify]: Simplify (+ 0 0) into 0 3.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.497 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a 3.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 3.497 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 3.497 * [taylor]: Taking taylor expansion of (* b d) in a 3.497 * [taylor]: Taking taylor expansion of b in a 3.497 * [backup-simplify]: Simplify b into b 3.497 * [taylor]: Taking taylor expansion of d in a 3.497 * [backup-simplify]: Simplify d into d 3.497 * [backup-simplify]: Simplify (* b d) into (* b d) 3.497 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.497 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 3.497 * [taylor]: Taking taylor expansion of (* a c) in a 3.497 * [taylor]: Taking taylor expansion of a in a 3.497 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify 1 into 1 3.498 * [taylor]: Taking taylor expansion of c in a 3.498 * [backup-simplify]: Simplify c into c 3.498 * [backup-simplify]: Simplify (* 0 c) into 0 3.498 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 3.498 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 3.498 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a 3.498 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 3.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 3.498 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 3.498 * [taylor]: Taking taylor expansion of (pow c 2) in a 3.498 * [taylor]: Taking taylor expansion of c in a 3.498 * [backup-simplify]: Simplify c into c 3.498 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.498 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 3.498 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 3.498 * [taylor]: Taking taylor expansion of (pow d 2) in a 3.498 * [taylor]: Taking taylor expansion of d in a 3.498 * [backup-simplify]: Simplify d into d 3.498 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.498 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.498 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3.498 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 3.499 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 3.499 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 3.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 3.499 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.499 * [backup-simplify]: Simplify (+ 0 0) into 0 3.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.500 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a 3.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 3.500 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 3.500 * [taylor]: Taking taylor expansion of (* b d) in a 3.500 * [taylor]: Taking taylor expansion of b in a 3.500 * [backup-simplify]: Simplify b into b 3.500 * [taylor]: Taking taylor expansion of d in a 3.500 * [backup-simplify]: Simplify d into d 3.500 * [backup-simplify]: Simplify (* b d) into (* b d) 3.500 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.500 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 3.500 * [taylor]: Taking taylor expansion of (* a c) in a 3.500 * [taylor]: Taking taylor expansion of a in a 3.500 * [backup-simplify]: Simplify 0 into 0 3.500 * [backup-simplify]: Simplify 1 into 1 3.500 * [taylor]: Taking taylor expansion of c in a 3.500 * [backup-simplify]: Simplify c into c 3.500 * [backup-simplify]: Simplify (* 0 c) into 0 3.500 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 3.500 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 3.500 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a 3.500 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 3.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 3.500 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 3.500 * [taylor]: Taking taylor expansion of (pow c 2) in a 3.500 * [taylor]: Taking taylor expansion of c in a 3.500 * [backup-simplify]: Simplify c into c 3.500 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.500 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 3.500 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 3.500 * [taylor]: Taking taylor expansion of (pow d 2) in a 3.500 * [taylor]: Taking taylor expansion of d in a 3.500 * [backup-simplify]: Simplify d into d 3.500 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.501 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.501 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3.501 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 3.501 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 3.501 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 3.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 3.501 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.501 * [backup-simplify]: Simplify (+ 0 0) into 0 3.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.502 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 3.502 * [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)) 3.502 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c 3.502 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 3.502 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 3.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 3.502 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 3.502 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.502 * [taylor]: Taking taylor expansion of c in c 3.502 * [backup-simplify]: Simplify 0 into 0 3.502 * [backup-simplify]: Simplify 1 into 1 3.502 * [backup-simplify]: Simplify (* 1 1) into 1 3.503 * [backup-simplify]: Simplify (/ 1 1) into 1 3.503 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 3.503 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.503 * [taylor]: Taking taylor expansion of d in c 3.503 * [backup-simplify]: Simplify d into d 3.503 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.503 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.503 * [backup-simplify]: Simplify (+ 1 0) into 1 3.503 * [backup-simplify]: Simplify (/ 1 1) into 1 3.504 * [backup-simplify]: Simplify (sqrt 1) into 1 3.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.505 * [backup-simplify]: Simplify (+ 0 0) into 0 3.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.505 * [taylor]: Taking taylor expansion of (/ 1 c) in c 3.506 * [taylor]: Taking taylor expansion of c in c 3.506 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify 1 into 1 3.506 * [backup-simplify]: Simplify (/ 1 1) into 1 3.506 * [backup-simplify]: Simplify (* 1 1) into 1 3.506 * [taylor]: Taking taylor expansion of 1 in b 3.506 * [backup-simplify]: Simplify 1 into 1 3.507 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 3.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 3.507 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 3.507 * [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)))))) 3.507 * [taylor]: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c 3.507 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 3.507 * [taylor]: Taking taylor expansion of (* b d) in c 3.507 * [taylor]: Taking taylor expansion of b in c 3.507 * [backup-simplify]: Simplify b into b 3.507 * [taylor]: Taking taylor expansion of d in c 3.507 * [backup-simplify]: Simplify d into d 3.507 * [backup-simplify]: Simplify (* b d) into (* b d) 3.507 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.507 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 3.507 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 3.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 3.507 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 3.507 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.507 * [taylor]: Taking taylor expansion of c in c 3.507 * [backup-simplify]: Simplify 0 into 0 3.507 * [backup-simplify]: Simplify 1 into 1 3.507 * [backup-simplify]: Simplify (* 1 1) into 1 3.508 * [backup-simplify]: Simplify (/ 1 1) into 1 3.508 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 3.508 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.508 * [taylor]: Taking taylor expansion of d in c 3.508 * [backup-simplify]: Simplify d into d 3.508 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.508 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.508 * [backup-simplify]: Simplify (+ 1 0) into 1 3.508 * [backup-simplify]: Simplify (/ 1 1) into 1 3.509 * [backup-simplify]: Simplify (sqrt 1) into 1 3.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.510 * [backup-simplify]: Simplify (+ 0 0) into 0 3.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.512 * [taylor]: Taking taylor expansion of 0 in b 3.512 * [backup-simplify]: Simplify 0 into 0 3.512 * [taylor]: Taking taylor expansion of 1 in d 3.512 * [backup-simplify]: Simplify 1 into 1 3.512 * [backup-simplify]: Simplify 1 into 1 3.512 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 3.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 3.512 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 3.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 3.513 * [backup-simplify]: Simplify (+ 0 0) into 0 3.513 * [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 3.514 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.514 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 3.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 3.515 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 3.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 3.515 * [backup-simplify]: Simplify (+ 0 0) into 0 3.515 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 3.515 * [taylor]: Taking taylor expansion of 0 in c 3.515 * [backup-simplify]: Simplify 0 into 0 3.515 * [taylor]: Taking taylor expansion of 0 in b 3.515 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d)) 3.515 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 3.515 * [taylor]: Taking taylor expansion of (* b d) in b 3.515 * [taylor]: Taking taylor expansion of b in b 3.515 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify 1 into 1 3.515 * [taylor]: Taking taylor expansion of d in b 3.516 * [backup-simplify]: Simplify d into d 3.516 * [backup-simplify]: Simplify (* 0 d) into 0 3.516 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 3.516 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 3.516 * [taylor]: Taking taylor expansion of (/ 1 d) in d 3.516 * [taylor]: Taking taylor expansion of d in d 3.516 * [backup-simplify]: Simplify 0 into 0 3.516 * [backup-simplify]: Simplify 1 into 1 3.516 * [backup-simplify]: Simplify (/ 1 1) into 1 3.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.517 * [backup-simplify]: Simplify 0 into 0 3.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.519 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 3.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) 3.521 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2)) 3.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2)))) 3.522 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b 3.522 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b 3.522 * [taylor]: Taking taylor expansion of 1/2 in b 3.522 * [backup-simplify]: Simplify 1/2 into 1/2 3.522 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 3.522 * [taylor]: Taking taylor expansion of (pow d 2) in b 3.522 * [taylor]: Taking taylor expansion of d in b 3.522 * [backup-simplify]: Simplify d into d 3.522 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.522 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.522 * [taylor]: Taking taylor expansion of 0 in d 3.522 * [backup-simplify]: Simplify 0 into 0 3.522 * [backup-simplify]: Simplify 0 into 0 3.522 * [taylor]: Taking taylor expansion of 0 in d 3.522 * [backup-simplify]: Simplify 0 into 0 3.522 * [backup-simplify]: Simplify 0 into 0 3.522 * [backup-simplify]: Simplify 0 into 0 3.523 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 3.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 3.524 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 3.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 3.525 * [backup-simplify]: Simplify (+ 0 0) into 0 3.526 * [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 3.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.527 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 3.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 3.529 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 3.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 3.530 * [backup-simplify]: Simplify (+ 0 0) into 0 3.530 * [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 3.530 * [taylor]: Taking taylor expansion of 0 in c 3.530 * [backup-simplify]: Simplify 0 into 0 3.531 * [taylor]: Taking taylor expansion of 0 in b 3.531 * [backup-simplify]: Simplify 0 into 0 3.531 * [taylor]: Taking taylor expansion of 0 in b 3.531 * [backup-simplify]: Simplify 0 into 0 3.531 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 3.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 3.531 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0 3.531 * [taylor]: Taking taylor expansion of 0 in b 3.531 * [backup-simplify]: Simplify 0 into 0 3.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.534 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.535 * [backup-simplify]: Simplify (+ 0 0) into 0 3.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 3.537 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0 3.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0 3.540 * [taylor]: Taking taylor expansion of 0 in b 3.540 * [backup-simplify]: Simplify 0 into 0 3.540 * [taylor]: Taking taylor expansion of 0 in d 3.540 * [backup-simplify]: Simplify 0 into 0 3.540 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 3.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 3.541 * [taylor]: Taking taylor expansion of 0 in d 3.541 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 a)))))) into a 3.542 * [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)))))) 3.542 * [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 3.542 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d 3.542 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 3.542 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 3.542 * [taylor]: Taking taylor expansion of (* b d) in d 3.542 * [taylor]: Taking taylor expansion of b in d 3.542 * [backup-simplify]: Simplify b into b 3.542 * [taylor]: Taking taylor expansion of d in d 3.542 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify 1 into 1 3.542 * [backup-simplify]: Simplify (* b 0) into 0 3.543 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 3.543 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 3.543 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 3.543 * [taylor]: Taking taylor expansion of (* a c) in d 3.543 * [taylor]: Taking taylor expansion of a in d 3.543 * [backup-simplify]: Simplify a into a 3.543 * [taylor]: Taking taylor expansion of c in d 3.543 * [backup-simplify]: Simplify c into c 3.543 * [backup-simplify]: Simplify (* a c) into (* a c) 3.543 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 3.543 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d 3.543 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 3.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 3.543 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 3.544 * [taylor]: Taking taylor expansion of (pow c 2) in d 3.544 * [taylor]: Taking taylor expansion of c in d 3.544 * [backup-simplify]: Simplify c into c 3.544 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.544 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 3.544 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 3.544 * [taylor]: Taking taylor expansion of (pow d 2) in d 3.544 * [taylor]: Taking taylor expansion of d in d 3.544 * [backup-simplify]: Simplify 0 into 0 3.544 * [backup-simplify]: Simplify 1 into 1 3.544 * [backup-simplify]: Simplify (* 1 1) into 1 3.545 * [backup-simplify]: Simplify (/ 1 1) into 1 3.545 * [backup-simplify]: Simplify (+ 0 1) into 1 3.546 * [backup-simplify]: Simplify (/ 1 1) into 1 3.546 * [backup-simplify]: Simplify (sqrt 1) into 1 3.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.548 * [backup-simplify]: Simplify (+ 0 0) into 0 3.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.549 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b 3.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 3.549 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 3.549 * [taylor]: Taking taylor expansion of (* b d) in b 3.549 * [taylor]: Taking taylor expansion of b in b 3.549 * [backup-simplify]: Simplify 0 into 0 3.549 * [backup-simplify]: Simplify 1 into 1 3.549 * [taylor]: Taking taylor expansion of d in b 3.549 * [backup-simplify]: Simplify d into d 3.550 * [backup-simplify]: Simplify (* 0 d) into 0 3.550 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 3.550 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 3.550 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 3.550 * [taylor]: Taking taylor expansion of (* a c) in b 3.550 * [taylor]: Taking taylor expansion of a in b 3.550 * [backup-simplify]: Simplify a into a 3.550 * [taylor]: Taking taylor expansion of c in b 3.550 * [backup-simplify]: Simplify c into c 3.550 * [backup-simplify]: Simplify (* a c) into (* a c) 3.550 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 3.550 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b 3.550 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 3.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 3.550 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 3.550 * [taylor]: Taking taylor expansion of (pow c 2) in b 3.550 * [taylor]: Taking taylor expansion of c in b 3.551 * [backup-simplify]: Simplify c into c 3.551 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.551 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 3.551 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 3.551 * [taylor]: Taking taylor expansion of (pow d 2) in b 3.551 * [taylor]: Taking taylor expansion of d in b 3.551 * [backup-simplify]: Simplify d into d 3.551 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.551 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.551 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3.551 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 3.552 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 3.552 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 3.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 3.552 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.552 * [backup-simplify]: Simplify (+ 0 0) into 0 3.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.553 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c 3.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 3.553 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 3.553 * [taylor]: Taking taylor expansion of (* b d) in c 3.553 * [taylor]: Taking taylor expansion of b in c 3.553 * [backup-simplify]: Simplify b into b 3.553 * [taylor]: Taking taylor expansion of d in c 3.553 * [backup-simplify]: Simplify d into d 3.553 * [backup-simplify]: Simplify (* b d) into (* b d) 3.553 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.554 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 3.554 * [taylor]: Taking taylor expansion of (* a c) in c 3.554 * [taylor]: Taking taylor expansion of a in c 3.554 * [backup-simplify]: Simplify a into a 3.554 * [taylor]: Taking taylor expansion of c in c 3.554 * [backup-simplify]: Simplify 0 into 0 3.554 * [backup-simplify]: Simplify 1 into 1 3.554 * [backup-simplify]: Simplify (* a 0) into 0 3.554 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 3.554 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 3.554 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 3.554 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 3.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 3.554 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 3.554 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.554 * [taylor]: Taking taylor expansion of c in c 3.554 * [backup-simplify]: Simplify 0 into 0 3.554 * [backup-simplify]: Simplify 1 into 1 3.555 * [backup-simplify]: Simplify (* 1 1) into 1 3.555 * [backup-simplify]: Simplify (/ 1 1) into 1 3.555 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 3.555 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.555 * [taylor]: Taking taylor expansion of d in c 3.555 * [backup-simplify]: Simplify d into d 3.555 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.555 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.556 * [backup-simplify]: Simplify (+ 1 0) into 1 3.556 * [backup-simplify]: Simplify (/ 1 1) into 1 3.557 * [backup-simplify]: Simplify (sqrt 1) into 1 3.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.558 * [backup-simplify]: Simplify (+ 0 0) into 0 3.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.560 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a 3.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 3.560 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 3.560 * [taylor]: Taking taylor expansion of (* b d) in a 3.560 * [taylor]: Taking taylor expansion of b in a 3.560 * [backup-simplify]: Simplify b into b 3.560 * [taylor]: Taking taylor expansion of d in a 3.560 * [backup-simplify]: Simplify d into d 3.560 * [backup-simplify]: Simplify (* b d) into (* b d) 3.560 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.560 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 3.560 * [taylor]: Taking taylor expansion of (* a c) in a 3.560 * [taylor]: Taking taylor expansion of a in a 3.560 * [backup-simplify]: Simplify 0 into 0 3.560 * [backup-simplify]: Simplify 1 into 1 3.560 * [taylor]: Taking taylor expansion of c in a 3.561 * [backup-simplify]: Simplify c into c 3.561 * [backup-simplify]: Simplify (* 0 c) into 0 3.561 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 3.561 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 3.561 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a 3.561 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 3.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 3.561 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 3.561 * [taylor]: Taking taylor expansion of (pow c 2) in a 3.561 * [taylor]: Taking taylor expansion of c in a 3.561 * [backup-simplify]: Simplify c into c 3.561 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.561 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 3.561 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 3.561 * [taylor]: Taking taylor expansion of (pow d 2) in a 3.562 * [taylor]: Taking taylor expansion of d in a 3.562 * [backup-simplify]: Simplify d into d 3.562 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.562 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.562 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3.562 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 3.562 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 3.562 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 3.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 3.563 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.563 * [backup-simplify]: Simplify (+ 0 0) into 0 3.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.564 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a 3.564 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 3.564 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 3.564 * [taylor]: Taking taylor expansion of (* b d) in a 3.564 * [taylor]: Taking taylor expansion of b in a 3.564 * [backup-simplify]: Simplify b into b 3.564 * [taylor]: Taking taylor expansion of d in a 3.564 * [backup-simplify]: Simplify d into d 3.564 * [backup-simplify]: Simplify (* b d) into (* b d) 3.564 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.564 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 3.564 * [taylor]: Taking taylor expansion of (* a c) in a 3.564 * [taylor]: Taking taylor expansion of a in a 3.565 * [backup-simplify]: Simplify 0 into 0 3.565 * [backup-simplify]: Simplify 1 into 1 3.565 * [taylor]: Taking taylor expansion of c in a 3.565 * [backup-simplify]: Simplify c into c 3.565 * [backup-simplify]: Simplify (* 0 c) into 0 3.565 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 3.565 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 3.565 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a 3.565 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 3.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 3.565 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 3.566 * [taylor]: Taking taylor expansion of (pow c 2) in a 3.566 * [taylor]: Taking taylor expansion of c in a 3.566 * [backup-simplify]: Simplify c into c 3.566 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.566 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 3.566 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 3.566 * [taylor]: Taking taylor expansion of (pow d 2) in a 3.566 * [taylor]: Taking taylor expansion of d in a 3.566 * [backup-simplify]: Simplify d into d 3.566 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.566 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.566 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3.566 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 3.567 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 3.567 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 3.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 3.567 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.568 * [backup-simplify]: Simplify (+ 0 0) into 0 3.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.568 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 3.569 * [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)) 3.569 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c 3.569 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 3.569 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 3.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 3.569 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 3.569 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.569 * [taylor]: Taking taylor expansion of c in c 3.569 * [backup-simplify]: Simplify 0 into 0 3.569 * [backup-simplify]: Simplify 1 into 1 3.569 * [backup-simplify]: Simplify (* 1 1) into 1 3.570 * [backup-simplify]: Simplify (/ 1 1) into 1 3.570 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 3.570 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.570 * [taylor]: Taking taylor expansion of d in c 3.570 * [backup-simplify]: Simplify d into d 3.570 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.570 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.570 * [backup-simplify]: Simplify (+ 1 0) into 1 3.571 * [backup-simplify]: Simplify (/ 1 1) into 1 3.571 * [backup-simplify]: Simplify (sqrt 1) into 1 3.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.573 * [backup-simplify]: Simplify (+ 0 0) into 0 3.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.574 * [taylor]: Taking taylor expansion of (/ 1 c) in c 3.575 * [taylor]: Taking taylor expansion of c in c 3.575 * [backup-simplify]: Simplify 0 into 0 3.575 * [backup-simplify]: Simplify 1 into 1 3.575 * [backup-simplify]: Simplify (/ 1 1) into 1 3.575 * [backup-simplify]: Simplify (* 1 1) into 1 3.575 * [taylor]: Taking taylor expansion of 1 in b 3.575 * [backup-simplify]: Simplify 1 into 1 3.576 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 3.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 3.576 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 3.577 * [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)))))) 3.577 * [taylor]: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c 3.577 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 3.577 * [taylor]: Taking taylor expansion of (* b d) in c 3.577 * [taylor]: Taking taylor expansion of b in c 3.577 * [backup-simplify]: Simplify b into b 3.577 * [taylor]: Taking taylor expansion of d in c 3.577 * [backup-simplify]: Simplify d into d 3.577 * [backup-simplify]: Simplify (* b d) into (* b d) 3.577 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.577 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 3.577 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 3.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 3.577 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 3.577 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.577 * [taylor]: Taking taylor expansion of c in c 3.577 * [backup-simplify]: Simplify 0 into 0 3.577 * [backup-simplify]: Simplify 1 into 1 3.578 * [backup-simplify]: Simplify (* 1 1) into 1 3.578 * [backup-simplify]: Simplify (/ 1 1) into 1 3.578 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 3.578 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.578 * [taylor]: Taking taylor expansion of d in c 3.578 * [backup-simplify]: Simplify d into d 3.578 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.578 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.579 * [backup-simplify]: Simplify (+ 1 0) into 1 3.579 * [backup-simplify]: Simplify (/ 1 1) into 1 3.580 * [backup-simplify]: Simplify (sqrt 1) into 1 3.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.582 * [backup-simplify]: Simplify (+ 0 0) into 0 3.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.584 * [taylor]: Taking taylor expansion of 0 in b 3.584 * [backup-simplify]: Simplify 0 into 0 3.585 * [taylor]: Taking taylor expansion of 1 in d 3.585 * [backup-simplify]: Simplify 1 into 1 3.585 * [backup-simplify]: Simplify 1 into 1 3.585 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 3.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 3.586 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 3.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 3.587 * [backup-simplify]: Simplify (+ 0 0) into 0 3.587 * [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 3.588 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.588 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 3.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 3.589 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 3.590 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 3.590 * [backup-simplify]: Simplify (+ 0 0) into 0 3.590 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 3.590 * [taylor]: Taking taylor expansion of 0 in c 3.590 * [backup-simplify]: Simplify 0 into 0 3.590 * [taylor]: Taking taylor expansion of 0 in b 3.590 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d)) 3.591 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 3.591 * [taylor]: Taking taylor expansion of (* b d) in b 3.591 * [taylor]: Taking taylor expansion of b in b 3.591 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify 1 into 1 3.591 * [taylor]: Taking taylor expansion of d in b 3.591 * [backup-simplify]: Simplify d into d 3.591 * [backup-simplify]: Simplify (* 0 d) into 0 3.591 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 3.591 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 3.591 * [taylor]: Taking taylor expansion of (/ 1 d) in d 3.591 * [taylor]: Taking taylor expansion of d in d 3.591 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify 1 into 1 3.592 * [backup-simplify]: Simplify (/ 1 1) into 1 3.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.593 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.596 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 3.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) 3.598 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2)) 3.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2)))) 3.598 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b 3.598 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b 3.598 * [taylor]: Taking taylor expansion of 1/2 in b 3.598 * [backup-simplify]: Simplify 1/2 into 1/2 3.598 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 3.598 * [taylor]: Taking taylor expansion of (pow d 2) in b 3.598 * [taylor]: Taking taylor expansion of d in b 3.598 * [backup-simplify]: Simplify d into d 3.598 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.598 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.599 * [taylor]: Taking taylor expansion of 0 in d 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [taylor]: Taking taylor expansion of 0 in d 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 3.599 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 3.600 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 3.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 3.600 * [backup-simplify]: Simplify (+ 0 0) into 0 3.601 * [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 3.601 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.602 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 3.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 3.603 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 3.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 3.603 * [backup-simplify]: Simplify (+ 0 0) into 0 3.603 * [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 3.603 * [taylor]: Taking taylor expansion of 0 in c 3.604 * [backup-simplify]: Simplify 0 into 0 3.604 * [taylor]: Taking taylor expansion of 0 in b 3.604 * [backup-simplify]: Simplify 0 into 0 3.604 * [taylor]: Taking taylor expansion of 0 in b 3.604 * [backup-simplify]: Simplify 0 into 0 3.604 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 3.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 3.604 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0 3.604 * [taylor]: Taking taylor expansion of 0 in b 3.604 * [backup-simplify]: Simplify 0 into 0 3.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.606 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.606 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.606 * [backup-simplify]: Simplify (+ 0 0) into 0 3.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 3.607 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0 3.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0 3.608 * [taylor]: Taking taylor expansion of 0 in b 3.608 * [backup-simplify]: Simplify 0 into 0 3.608 * [taylor]: Taking taylor expansion of 0 in d 3.608 * [backup-simplify]: Simplify 0 into 0 3.608 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 3.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 3.609 * [taylor]: Taking taylor expansion of 0 in d 3.609 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- a))))))) into (* -1 a) 3.609 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 3.609 * [backup-simplify]: Simplify (+ (* a c) (* b d)) into (+ (* a c) (* b d)) 3.609 * [approximate]: Taking taylor expansion of (+ (* a c) (* b d)) in (a c b d) around 0 3.609 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d 3.609 * [taylor]: Taking taylor expansion of (* a c) in d 3.609 * [taylor]: Taking taylor expansion of a in d 3.609 * [backup-simplify]: Simplify a into a 3.609 * [taylor]: Taking taylor expansion of c in d 3.609 * [backup-simplify]: Simplify c into c 3.609 * [taylor]: Taking taylor expansion of (* b d) in d 3.609 * [taylor]: Taking taylor expansion of b in d 3.609 * [backup-simplify]: Simplify b into b 3.609 * [taylor]: Taking taylor expansion of d in d 3.609 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify 1 into 1 3.609 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b 3.609 * [taylor]: Taking taylor expansion of (* a c) in b 3.609 * [taylor]: Taking taylor expansion of a in b 3.609 * [backup-simplify]: Simplify a into a 3.609 * [taylor]: Taking taylor expansion of c in b 3.609 * [backup-simplify]: Simplify c into c 3.609 * [taylor]: Taking taylor expansion of (* b d) in b 3.609 * [taylor]: Taking taylor expansion of b in b 3.609 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify 1 into 1 3.609 * [taylor]: Taking taylor expansion of d in b 3.609 * [backup-simplify]: Simplify d into d 3.609 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c 3.609 * [taylor]: Taking taylor expansion of (* a c) in c 3.609 * [taylor]: Taking taylor expansion of a in c 3.609 * [backup-simplify]: Simplify a into a 3.609 * [taylor]: Taking taylor expansion of c in c 3.609 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify 1 into 1 3.609 * [taylor]: Taking taylor expansion of (* b d) in c 3.609 * [taylor]: Taking taylor expansion of b in c 3.609 * [backup-simplify]: Simplify b into b 3.610 * [taylor]: Taking taylor expansion of d in c 3.610 * [backup-simplify]: Simplify d into d 3.610 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 3.610 * [taylor]: Taking taylor expansion of (* a c) in a 3.610 * [taylor]: Taking taylor expansion of a in a 3.610 * [backup-simplify]: Simplify 0 into 0 3.610 * [backup-simplify]: Simplify 1 into 1 3.610 * [taylor]: Taking taylor expansion of c in a 3.610 * [backup-simplify]: Simplify c into c 3.610 * [taylor]: Taking taylor expansion of (* b d) in a 3.610 * [taylor]: Taking taylor expansion of b in a 3.610 * [backup-simplify]: Simplify b into b 3.610 * [taylor]: Taking taylor expansion of d in a 3.610 * [backup-simplify]: Simplify d into d 3.610 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 3.610 * [taylor]: Taking taylor expansion of (* a c) in a 3.610 * [taylor]: Taking taylor expansion of a in a 3.610 * [backup-simplify]: Simplify 0 into 0 3.610 * [backup-simplify]: Simplify 1 into 1 3.610 * [taylor]: Taking taylor expansion of c in a 3.610 * [backup-simplify]: Simplify c into c 3.610 * [taylor]: Taking taylor expansion of (* b d) in a 3.610 * [taylor]: Taking taylor expansion of b in a 3.610 * [backup-simplify]: Simplify b into b 3.610 * [taylor]: Taking taylor expansion of d in a 3.610 * [backup-simplify]: Simplify d into d 3.610 * [backup-simplify]: Simplify (* 0 c) into 0 3.610 * [backup-simplify]: Simplify (* b d) into (* b d) 3.610 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 3.610 * [taylor]: Taking taylor expansion of (* b d) in c 3.610 * [taylor]: Taking taylor expansion of b in c 3.610 * [backup-simplify]: Simplify b into b 3.610 * [taylor]: Taking taylor expansion of d in c 3.610 * [backup-simplify]: Simplify d into d 3.610 * [backup-simplify]: Simplify (* b d) into (* b d) 3.610 * [taylor]: Taking taylor expansion of (* b d) in b 3.610 * [taylor]: Taking taylor expansion of b in b 3.610 * [backup-simplify]: Simplify 0 into 0 3.610 * [backup-simplify]: Simplify 1 into 1 3.610 * [taylor]: Taking taylor expansion of d in b 3.610 * [backup-simplify]: Simplify d into d 3.610 * [backup-simplify]: Simplify (* 0 d) into 0 3.610 * [taylor]: Taking taylor expansion of 0 in d 3.610 * [backup-simplify]: Simplify 0 into 0 3.610 * [backup-simplify]: Simplify 0 into 0 3.611 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 3.611 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 3.611 * [backup-simplify]: Simplify (+ c 0) into c 3.611 * [taylor]: Taking taylor expansion of c in c 3.611 * [backup-simplify]: Simplify 0 into 0 3.611 * [backup-simplify]: Simplify 1 into 1 3.611 * [taylor]: Taking taylor expansion of 0 in b 3.611 * [backup-simplify]: Simplify 0 into 0 3.611 * [taylor]: Taking taylor expansion of 0 in d 3.611 * [backup-simplify]: Simplify 0 into 0 3.611 * [backup-simplify]: Simplify 0 into 0 3.611 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 3.611 * [taylor]: Taking taylor expansion of 0 in b 3.611 * [backup-simplify]: Simplify 0 into 0 3.611 * [taylor]: Taking taylor expansion of 0 in d 3.611 * [backup-simplify]: Simplify 0 into 0 3.611 * [backup-simplify]: Simplify 0 into 0 3.611 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 3.611 * [taylor]: Taking taylor expansion of d in d 3.611 * [backup-simplify]: Simplify 0 into 0 3.611 * [backup-simplify]: Simplify 1 into 1 3.611 * [backup-simplify]: Simplify 0 into 0 3.611 * [backup-simplify]: Simplify 0 into 0 3.612 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 3.612 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 3.612 * [backup-simplify]: Simplify (+ 0 0) into 0 3.612 * [taylor]: Taking taylor expansion of 0 in c 3.612 * [backup-simplify]: Simplify 0 into 0 3.612 * [taylor]: Taking taylor expansion of 0 in b 3.612 * [backup-simplify]: Simplify 0 into 0 3.612 * [taylor]: Taking taylor expansion of 0 in d 3.612 * [backup-simplify]: Simplify 0 into 0 3.612 * [backup-simplify]: Simplify 0 into 0 3.612 * [backup-simplify]: Simplify 0 into 0 3.613 * [backup-simplify]: Simplify (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) into (+ (/ 1 (* b d)) (/ 1 (* a c))) 3.613 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0 3.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 3.613 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 3.613 * [taylor]: Taking taylor expansion of (* b d) in d 3.613 * [taylor]: Taking taylor expansion of b in d 3.613 * [backup-simplify]: Simplify b into b 3.613 * [taylor]: Taking taylor expansion of d in d 3.613 * [backup-simplify]: Simplify 0 into 0 3.613 * [backup-simplify]: Simplify 1 into 1 3.613 * [backup-simplify]: Simplify (* b 0) into 0 3.613 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 3.613 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 3.613 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 3.613 * [taylor]: Taking taylor expansion of (* a c) in d 3.613 * [taylor]: Taking taylor expansion of a in d 3.613 * [backup-simplify]: Simplify a into a 3.613 * [taylor]: Taking taylor expansion of c in d 3.613 * [backup-simplify]: Simplify c into c 3.613 * [backup-simplify]: Simplify (* a c) into (* a c) 3.613 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 3.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 3.613 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 3.613 * [taylor]: Taking taylor expansion of (* b d) in b 3.613 * [taylor]: Taking taylor expansion of b in b 3.613 * [backup-simplify]: Simplify 0 into 0 3.613 * [backup-simplify]: Simplify 1 into 1 3.613 * [taylor]: Taking taylor expansion of d in b 3.613 * [backup-simplify]: Simplify d into d 3.613 * [backup-simplify]: Simplify (* 0 d) into 0 3.614 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 3.614 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 3.614 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 3.614 * [taylor]: Taking taylor expansion of (* a c) in b 3.614 * [taylor]: Taking taylor expansion of a in b 3.614 * [backup-simplify]: Simplify a into a 3.614 * [taylor]: Taking taylor expansion of c in b 3.614 * [backup-simplify]: Simplify c into c 3.614 * [backup-simplify]: Simplify (* a c) into (* a c) 3.614 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 3.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 3.614 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 3.614 * [taylor]: Taking taylor expansion of (* b d) in c 3.614 * [taylor]: Taking taylor expansion of b in c 3.614 * [backup-simplify]: Simplify b into b 3.614 * [taylor]: Taking taylor expansion of d in c 3.614 * [backup-simplify]: Simplify d into d 3.614 * [backup-simplify]: Simplify (* b d) into (* b d) 3.614 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.614 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 3.614 * [taylor]: Taking taylor expansion of (* a c) in c 3.614 * [taylor]: Taking taylor expansion of a in c 3.614 * [backup-simplify]: Simplify a into a 3.614 * [taylor]: Taking taylor expansion of c in c 3.614 * [backup-simplify]: Simplify 0 into 0 3.614 * [backup-simplify]: Simplify 1 into 1 3.614 * [backup-simplify]: Simplify (* a 0) into 0 3.615 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 3.615 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 3.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 3.615 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 3.615 * [taylor]: Taking taylor expansion of (* b d) in a 3.615 * [taylor]: Taking taylor expansion of b in a 3.615 * [backup-simplify]: Simplify b into b 3.615 * [taylor]: Taking taylor expansion of d in a 3.615 * [backup-simplify]: Simplify d into d 3.615 * [backup-simplify]: Simplify (* b d) into (* b d) 3.615 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.615 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 3.615 * [taylor]: Taking taylor expansion of (* a c) in a 3.615 * [taylor]: Taking taylor expansion of a in a 3.615 * [backup-simplify]: Simplify 0 into 0 3.615 * [backup-simplify]: Simplify 1 into 1 3.615 * [taylor]: Taking taylor expansion of c in a 3.615 * [backup-simplify]: Simplify c into c 3.615 * [backup-simplify]: Simplify (* 0 c) into 0 3.616 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 3.616 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 3.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 3.616 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 3.616 * [taylor]: Taking taylor expansion of (* b d) in a 3.616 * [taylor]: Taking taylor expansion of b in a 3.616 * [backup-simplify]: Simplify b into b 3.616 * [taylor]: Taking taylor expansion of d in a 3.616 * [backup-simplify]: Simplify d into d 3.616 * [backup-simplify]: Simplify (* b d) into (* b d) 3.616 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.616 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 3.616 * [taylor]: Taking taylor expansion of (* a c) in a 3.616 * [taylor]: Taking taylor expansion of a in a 3.616 * [backup-simplify]: Simplify 0 into 0 3.616 * [backup-simplify]: Simplify 1 into 1 3.616 * [taylor]: Taking taylor expansion of c in a 3.616 * [backup-simplify]: Simplify c into c 3.616 * [backup-simplify]: Simplify (* 0 c) into 0 3.616 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 3.616 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 3.616 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 3.616 * [taylor]: Taking taylor expansion of (/ 1 c) in c 3.616 * [taylor]: Taking taylor expansion of c in c 3.616 * [backup-simplify]: Simplify 0 into 0 3.616 * [backup-simplify]: Simplify 1 into 1 3.617 * [backup-simplify]: Simplify (/ 1 1) into 1 3.617 * [taylor]: Taking taylor expansion of 1 in b 3.617 * [backup-simplify]: Simplify 1 into 1 3.617 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 3.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 3.617 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 3.617 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 3.617 * [taylor]: Taking taylor expansion of (* b d) in c 3.617 * [taylor]: Taking taylor expansion of b in c 3.617 * [backup-simplify]: Simplify b into b 3.617 * [taylor]: Taking taylor expansion of d in c 3.617 * [backup-simplify]: Simplify d into d 3.617 * [backup-simplify]: Simplify (* b d) into (* b d) 3.617 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.618 * [taylor]: Taking taylor expansion of 0 in b 3.618 * [backup-simplify]: Simplify 0 into 0 3.618 * [taylor]: Taking taylor expansion of 1 in d 3.618 * [backup-simplify]: Simplify 1 into 1 3.618 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 3.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 3.619 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 3.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 3.619 * [backup-simplify]: Simplify (+ 0 0) into 0 3.619 * [taylor]: Taking taylor expansion of 0 in c 3.619 * [backup-simplify]: Simplify 0 into 0 3.619 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 3.619 * [taylor]: Taking taylor expansion of (* b d) in b 3.619 * [taylor]: Taking taylor expansion of b in b 3.619 * [backup-simplify]: Simplify 0 into 0 3.619 * [backup-simplify]: Simplify 1 into 1 3.619 * [taylor]: Taking taylor expansion of d in b 3.619 * [backup-simplify]: Simplify d into d 3.619 * [backup-simplify]: Simplify (* 0 d) into 0 3.620 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 3.620 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 3.620 * [taylor]: Taking taylor expansion of (/ 1 d) in d 3.620 * [taylor]: Taking taylor expansion of d in d 3.620 * [backup-simplify]: Simplify 0 into 0 3.620 * [backup-simplify]: Simplify 1 into 1 3.620 * [backup-simplify]: Simplify (/ 1 1) into 1 3.620 * [backup-simplify]: Simplify 1 into 1 3.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.621 * [taylor]: Taking taylor expansion of 0 in b 3.621 * [backup-simplify]: Simplify 0 into 0 3.621 * [taylor]: Taking taylor expansion of 0 in d 3.621 * [backup-simplify]: Simplify 0 into 0 3.621 * [taylor]: Taking taylor expansion of 0 in d 3.621 * [backup-simplify]: Simplify 0 into 0 3.621 * [backup-simplify]: Simplify 1 into 1 3.621 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 3.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 3.622 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 3.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 3.623 * [backup-simplify]: Simplify (+ 0 0) into 0 3.623 * [taylor]: Taking taylor expansion of 0 in c 3.623 * [backup-simplify]: Simplify 0 into 0 3.623 * [taylor]: Taking taylor expansion of 0 in b 3.623 * [backup-simplify]: Simplify 0 into 0 3.623 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 3.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 3.623 * [taylor]: Taking taylor expansion of 0 in b 3.623 * [backup-simplify]: Simplify 0 into 0 3.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.623 * [taylor]: Taking taylor expansion of 0 in b 3.623 * [backup-simplify]: Simplify 0 into 0 3.624 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 3.624 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 3.624 * [taylor]: Taking taylor expansion of 0 in d 3.624 * [backup-simplify]: Simplify 0 into 0 3.624 * [taylor]: Taking taylor expansion of 0 in d 3.624 * [backup-simplify]: Simplify 0 into 0 3.624 * [taylor]: Taking taylor expansion of 0 in d 3.624 * [backup-simplify]: Simplify 0 into 0 3.624 * [taylor]: Taking taylor expansion of 0 in d 3.624 * [backup-simplify]: Simplify 0 into 0 3.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.625 * [backup-simplify]: Simplify 0 into 0 3.625 * [backup-simplify]: Simplify 0 into 0 3.625 * [backup-simplify]: Simplify 0 into 0 3.625 * [backup-simplify]: Simplify 0 into 0 3.626 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 3.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 3.627 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0 3.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 3.627 * [backup-simplify]: Simplify (+ 0 0) into 0 3.627 * [taylor]: Taking taylor expansion of 0 in c 3.627 * [backup-simplify]: Simplify 0 into 0 3.627 * [taylor]: Taking taylor expansion of 0 in b 3.627 * [backup-simplify]: Simplify 0 into 0 3.627 * [taylor]: Taking taylor expansion of 0 in b 3.627 * [backup-simplify]: Simplify 0 into 0 3.628 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 3.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 3.628 * [taylor]: Taking taylor expansion of 0 in b 3.628 * [backup-simplify]: Simplify 0 into 0 3.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.628 * [taylor]: Taking taylor expansion of 0 in b 3.628 * [backup-simplify]: Simplify 0 into 0 3.628 * [taylor]: Taking taylor expansion of 0 in d 3.628 * [backup-simplify]: Simplify 0 into 0 3.628 * [taylor]: Taking taylor expansion of 0 in d 3.628 * [backup-simplify]: Simplify 0 into 0 3.628 * [taylor]: Taking taylor expansion of 0 in d 3.628 * [backup-simplify]: Simplify 0 into 0 3.629 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 3.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 3.629 * [taylor]: Taking taylor expansion of 0 in d 3.629 * [backup-simplify]: Simplify 0 into 0 3.629 * [taylor]: Taking taylor expansion of 0 in d 3.629 * [backup-simplify]: Simplify 0 into 0 3.629 * [taylor]: Taking taylor expansion of 0 in d 3.629 * [backup-simplify]: Simplify 0 into 0 3.629 * [taylor]: Taking taylor expansion of 0 in d 3.629 * [backup-simplify]: Simplify 0 into 0 3.630 * [backup-simplify]: Simplify 0 into 0 3.630 * [backup-simplify]: Simplify 0 into 0 3.630 * [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)) 3.631 * [backup-simplify]: Simplify (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) into (+ (/ 1 (* b d)) (/ 1 (* a c))) 3.631 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0 3.631 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 3.631 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 3.631 * [taylor]: Taking taylor expansion of (* b d) in d 3.631 * [taylor]: Taking taylor expansion of b in d 3.631 * [backup-simplify]: Simplify b into b 3.631 * [taylor]: Taking taylor expansion of d in d 3.631 * [backup-simplify]: Simplify 0 into 0 3.631 * [backup-simplify]: Simplify 1 into 1 3.631 * [backup-simplify]: Simplify (* b 0) into 0 3.632 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 3.632 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 3.632 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 3.632 * [taylor]: Taking taylor expansion of (* a c) in d 3.632 * [taylor]: Taking taylor expansion of a in d 3.632 * [backup-simplify]: Simplify a into a 3.632 * [taylor]: Taking taylor expansion of c in d 3.632 * [backup-simplify]: Simplify c into c 3.632 * [backup-simplify]: Simplify (* a c) into (* a c) 3.632 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 3.632 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 3.632 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 3.632 * [taylor]: Taking taylor expansion of (* b d) in b 3.632 * [taylor]: Taking taylor expansion of b in b 3.632 * [backup-simplify]: Simplify 0 into 0 3.632 * [backup-simplify]: Simplify 1 into 1 3.632 * [taylor]: Taking taylor expansion of d in b 3.632 * [backup-simplify]: Simplify d into d 3.632 * [backup-simplify]: Simplify (* 0 d) into 0 3.633 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 3.633 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 3.633 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 3.633 * [taylor]: Taking taylor expansion of (* a c) in b 3.633 * [taylor]: Taking taylor expansion of a in b 3.633 * [backup-simplify]: Simplify a into a 3.633 * [taylor]: Taking taylor expansion of c in b 3.633 * [backup-simplify]: Simplify c into c 3.633 * [backup-simplify]: Simplify (* a c) into (* a c) 3.633 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 3.633 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 3.633 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 3.633 * [taylor]: Taking taylor expansion of (* b d) in c 3.633 * [taylor]: Taking taylor expansion of b in c 3.633 * [backup-simplify]: Simplify b into b 3.633 * [taylor]: Taking taylor expansion of d in c 3.633 * [backup-simplify]: Simplify d into d 3.633 * [backup-simplify]: Simplify (* b d) into (* b d) 3.633 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.633 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 3.633 * [taylor]: Taking taylor expansion of (* a c) in c 3.633 * [taylor]: Taking taylor expansion of a in c 3.633 * [backup-simplify]: Simplify a into a 3.633 * [taylor]: Taking taylor expansion of c in c 3.634 * [backup-simplify]: Simplify 0 into 0 3.634 * [backup-simplify]: Simplify 1 into 1 3.634 * [backup-simplify]: Simplify (* a 0) into 0 3.634 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 3.634 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 3.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 3.634 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 3.634 * [taylor]: Taking taylor expansion of (* b d) in a 3.634 * [taylor]: Taking taylor expansion of b in a 3.634 * [backup-simplify]: Simplify b into b 3.634 * [taylor]: Taking taylor expansion of d in a 3.634 * [backup-simplify]: Simplify d into d 3.634 * [backup-simplify]: Simplify (* b d) into (* b d) 3.634 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.634 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 3.634 * [taylor]: Taking taylor expansion of (* a c) in a 3.634 * [taylor]: Taking taylor expansion of a in a 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify 1 into 1 3.635 * [taylor]: Taking taylor expansion of c in a 3.635 * [backup-simplify]: Simplify c into c 3.635 * [backup-simplify]: Simplify (* 0 c) into 0 3.635 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 3.635 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 3.635 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 3.635 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 3.635 * [taylor]: Taking taylor expansion of (* b d) in a 3.635 * [taylor]: Taking taylor expansion of b in a 3.635 * [backup-simplify]: Simplify b into b 3.635 * [taylor]: Taking taylor expansion of d in a 3.635 * [backup-simplify]: Simplify d into d 3.635 * [backup-simplify]: Simplify (* b d) into (* b d) 3.635 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.635 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 3.635 * [taylor]: Taking taylor expansion of (* a c) in a 3.635 * [taylor]: Taking taylor expansion of a in a 3.635 * [backup-simplify]: Simplify 0 into 0 3.636 * [backup-simplify]: Simplify 1 into 1 3.636 * [taylor]: Taking taylor expansion of c in a 3.636 * [backup-simplify]: Simplify c into c 3.636 * [backup-simplify]: Simplify (* 0 c) into 0 3.636 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 3.636 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 3.636 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 3.636 * [taylor]: Taking taylor expansion of (/ 1 c) in c 3.636 * [taylor]: Taking taylor expansion of c in c 3.636 * [backup-simplify]: Simplify 0 into 0 3.636 * [backup-simplify]: Simplify 1 into 1 3.637 * [backup-simplify]: Simplify (/ 1 1) into 1 3.637 * [taylor]: Taking taylor expansion of 1 in b 3.637 * [backup-simplify]: Simplify 1 into 1 3.638 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 3.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 3.638 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 3.638 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 3.638 * [taylor]: Taking taylor expansion of (* b d) in c 3.638 * [taylor]: Taking taylor expansion of b in c 3.638 * [backup-simplify]: Simplify b into b 3.638 * [taylor]: Taking taylor expansion of d in c 3.638 * [backup-simplify]: Simplify d into d 3.638 * [backup-simplify]: Simplify (* b d) into (* b d) 3.638 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.639 * [taylor]: Taking taylor expansion of 0 in b 3.639 * [backup-simplify]: Simplify 0 into 0 3.639 * [taylor]: Taking taylor expansion of 1 in d 3.639 * [backup-simplify]: Simplify 1 into 1 3.639 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 3.639 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 3.640 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 3.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 3.641 * [backup-simplify]: Simplify (+ 0 0) into 0 3.641 * [taylor]: Taking taylor expansion of 0 in c 3.641 * [backup-simplify]: Simplify 0 into 0 3.641 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 3.641 * [taylor]: Taking taylor expansion of (* b d) in b 3.641 * [taylor]: Taking taylor expansion of b in b 3.641 * [backup-simplify]: Simplify 0 into 0 3.641 * [backup-simplify]: Simplify 1 into 1 3.641 * [taylor]: Taking taylor expansion of d in b 3.641 * [backup-simplify]: Simplify d into d 3.641 * [backup-simplify]: Simplify (* 0 d) into 0 3.642 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 3.642 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 3.642 * [taylor]: Taking taylor expansion of (/ 1 d) in d 3.642 * [taylor]: Taking taylor expansion of d in d 3.642 * [backup-simplify]: Simplify 0 into 0 3.642 * [backup-simplify]: Simplify 1 into 1 3.642 * [backup-simplify]: Simplify (/ 1 1) into 1 3.642 * [backup-simplify]: Simplify 1 into 1 3.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.643 * [taylor]: Taking taylor expansion of 0 in b 3.643 * [backup-simplify]: Simplify 0 into 0 3.643 * [taylor]: Taking taylor expansion of 0 in d 3.643 * [backup-simplify]: Simplify 0 into 0 3.643 * [taylor]: Taking taylor expansion of 0 in d 3.643 * [backup-simplify]: Simplify 0 into 0 3.644 * [backup-simplify]: Simplify 1 into 1 3.644 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 3.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 3.646 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 3.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 3.646 * [backup-simplify]: Simplify (+ 0 0) into 0 3.646 * [taylor]: Taking taylor expansion of 0 in c 3.646 * [backup-simplify]: Simplify 0 into 0 3.646 * [taylor]: Taking taylor expansion of 0 in b 3.646 * [backup-simplify]: Simplify 0 into 0 3.647 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 3.647 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 3.647 * [taylor]: Taking taylor expansion of 0 in b 3.647 * [backup-simplify]: Simplify 0 into 0 3.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.648 * [taylor]: Taking taylor expansion of 0 in b 3.648 * [backup-simplify]: Simplify 0 into 0 3.649 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 3.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 3.649 * [taylor]: Taking taylor expansion of 0 in d 3.649 * [backup-simplify]: Simplify 0 into 0 3.649 * [taylor]: Taking taylor expansion of 0 in d 3.649 * [backup-simplify]: Simplify 0 into 0 3.649 * [taylor]: Taking taylor expansion of 0 in d 3.649 * [backup-simplify]: Simplify 0 into 0 3.649 * [taylor]: Taking taylor expansion of 0 in d 3.649 * [backup-simplify]: Simplify 0 into 0 3.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.650 * [backup-simplify]: Simplify 0 into 0 3.650 * [backup-simplify]: Simplify 0 into 0 3.650 * [backup-simplify]: Simplify 0 into 0 3.650 * [backup-simplify]: Simplify 0 into 0 3.651 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 3.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 3.653 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0 3.653 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 3.654 * [backup-simplify]: Simplify (+ 0 0) into 0 3.654 * [taylor]: Taking taylor expansion of 0 in c 3.654 * [backup-simplify]: Simplify 0 into 0 3.654 * [taylor]: Taking taylor expansion of 0 in b 3.654 * [backup-simplify]: Simplify 0 into 0 3.654 * [taylor]: Taking taylor expansion of 0 in b 3.654 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 3.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 3.655 * [taylor]: Taking taylor expansion of 0 in b 3.655 * [backup-simplify]: Simplify 0 into 0 3.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.656 * [taylor]: Taking taylor expansion of 0 in b 3.656 * [backup-simplify]: Simplify 0 into 0 3.656 * [taylor]: Taking taylor expansion of 0 in d 3.656 * [backup-simplify]: Simplify 0 into 0 3.656 * [taylor]: Taking taylor expansion of 0 in d 3.656 * [backup-simplify]: Simplify 0 into 0 3.656 * [taylor]: Taking taylor expansion of 0 in d 3.656 * [backup-simplify]: Simplify 0 into 0 3.657 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 3.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 3.657 * [taylor]: Taking taylor expansion of 0 in d 3.657 * [backup-simplify]: Simplify 0 into 0 3.657 * [taylor]: Taking taylor expansion of 0 in d 3.657 * [backup-simplify]: Simplify 0 into 0 3.657 * [taylor]: Taking taylor expansion of 0 in d 3.657 * [backup-simplify]: Simplify 0 into 0 3.657 * [taylor]: Taking taylor expansion of 0 in d 3.657 * [backup-simplify]: Simplify 0 into 0 3.657 * [backup-simplify]: Simplify 0 into 0 3.657 * [backup-simplify]: Simplify 0 into 0 3.658 * [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)) 3.658 * * * [progress]: simplifying candidates 3.658 * * * * [progress]: [ 1 / 100 ] simplifiying candidate # 3.659 * * * * [progress]: [ 2 / 100 ] simplifiying candidate # 3.659 * * * * [progress]: [ 3 / 100 ] simplifiying candidate # 3.659 * * * * [progress]: [ 4 / 100 ] simplifiying candidate # 3.659 * * * * [progress]: [ 5 / 100 ] simplifiying candidate # 3.659 * * * * [progress]: [ 6 / 100 ] simplifiying candidate # 3.659 * * * * [progress]: [ 7 / 100 ] simplifiying candidate # 3.659 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 3.659 * * [simplify]: iters left: 6 (8 enodes) 3.663 * * [simplify]: iters left: 5 (26 enodes) 3.670 * * [simplify]: Extracting #0: cost 1 inf + 0 3.670 * * [simplify]: Extracting #1: cost 4 inf + 0 3.670 * * [simplify]: Extracting #2: cost 7 inf + 0 3.670 * * [simplify]: Extracting #3: cost 10 inf + 0 3.670 * * [simplify]: Extracting #4: cost 14 inf + 0 3.671 * * [simplify]: Extracting #5: cost 10 inf + 84 3.671 * * [simplify]: Extracting #6: cost 8 inf + 166 3.671 * * [simplify]: Extracting #7: cost 4 inf + 854 3.671 * * [simplify]: Extracting #8: cost 1 inf + 1540 3.672 * * [simplify]: Extracting #9: cost 0 inf + 1782 3.673 * [simplify]: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) 3.673 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) 3.673 * * * * [progress]: [ 8 / 100 ] simplifiying candidate # 3.673 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) 3.673 * * [simplify]: iters left: 6 (7 enodes) 3.677 * * [simplify]: iters left: 5 (22 enodes) 3.685 * * [simplify]: Extracting #0: cost 1 inf + 0 3.685 * * [simplify]: Extracting #1: cost 3 inf + 0 3.685 * * [simplify]: Extracting #2: cost 5 inf + 0 3.685 * * [simplify]: Extracting #3: cost 8 inf + 0 3.685 * * [simplify]: Extracting #4: cost 12 inf + 0 3.685 * * [simplify]: Extracting #5: cost 10 inf + 2 3.686 * * [simplify]: Extracting #6: cost 1 inf + 936 3.686 * * [simplify]: Extracting #7: cost 0 inf + 1138 3.686 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) 3.687 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) 3.687 * * * * [progress]: [ 9 / 100 ] simplifiying candidate # 3.687 * [simplify]: Simplifying (sqrt 1) 3.687 * * [simplify]: iters left: 1 (2 enodes) 3.691 * * [simplify]: Extracting #0: cost 1 inf + 0 3.691 * * [simplify]: Extracting #1: cost 0 inf + 1 3.691 * [simplify]: Simplified to 1 3.691 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (* 1 (sqrt (+ (* c c) (* d d)))))) 3.691 * * * * [progress]: [ 10 / 100 ] simplifiying candidate # 3.691 * [simplify]: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) 3.691 * * [simplify]: iters left: 6 (9 enodes) 3.697 * * [simplify]: iters left: 5 (45 enodes) 3.717 * * [simplify]: iters left: 4 (100 enodes) 3.746 * * [simplify]: iters left: 3 (201 enodes) 3.807 * * [simplify]: iters left: 2 (406 enodes) 3.946 * * [simplify]: Extracting #0: cost 1 inf + 0 3.946 * * [simplify]: Extracting #1: cost 3 inf + 0 3.946 * * [simplify]: Extracting #2: cost 6 inf + 0 3.947 * * [simplify]: Extracting #3: cost 62 inf + 0 3.947 * * [simplify]: Extracting #4: cost 166 inf + 460 3.949 * * [simplify]: Extracting #5: cost 131 inf + 12951 3.952 * * [simplify]: Extracting #6: cost 49 inf + 45746 3.958 * * [simplify]: Extracting #7: cost 1 inf + 66256 3.963 * * [simplify]: Extracting #8: cost 0 inf + 65919 3.968 * [simplify]: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) 3.968 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))) 3.968 * * * * [progress]: [ 11 / 100 ] simplifiying candidate # 3.969 * [simplify]: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) 3.969 * * [simplify]: iters left: 6 (8 enodes) 3.975 * * [simplify]: iters left: 5 (37 enodes) 3.982 * * [simplify]: iters left: 4 (67 enodes) 3.994 * * [simplify]: iters left: 3 (123 enodes) 4.025 * * [simplify]: iters left: 2 (278 enodes) 4.182 * * [simplify]: Extracting #0: cost 1 inf + 0 4.182 * * [simplify]: Extracting #1: cost 3 inf + 0 4.182 * * [simplify]: Extracting #2: cost 50 inf + 0 4.183 * * [simplify]: Extracting #3: cost 150 inf + 0 4.185 * * [simplify]: Extracting #4: cost 194 inf + 1180 4.190 * * [simplify]: Extracting #5: cost 123 inf + 12421 4.202 * * [simplify]: Extracting #6: cost 12 inf + 33804 4.217 * * [simplify]: Extracting #7: cost 0 inf + 36129 4.230 * [simplify]: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) 4.230 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d)))))) 4.231 * * * * [progress]: [ 12 / 100 ] simplifiying candidate # 4.231 * [simplify]: Simplifying (+ (* c c) (* d d)) 4.231 * * [simplify]: iters left: 4 (5 enodes) 4.233 * * [simplify]: iters left: 3 (16 enodes) 4.237 * * [simplify]: Extracting #0: cost 1 inf + 0 4.237 * * [simplify]: Extracting #1: cost 4 inf + 0 4.237 * * [simplify]: Extracting #2: cost 8 inf + 0 4.237 * * [simplify]: Extracting #3: cost 4 inf + 84 4.238 * * [simplify]: Extracting #4: cost 0 inf + 410 4.238 * [simplify]: Simplified to (+ (* c c) (* d d)) 4.238 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (pow (+ (* c c) (* d d)) (/ 1 2)))) 4.238 * * * * [progress]: [ 13 / 100 ] simplifiying candidate # 4.238 * * * * [progress]: [ 14 / 100 ] simplifiying candidate # 4.238 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d))) 4.238 * * [simplify]: iters left: 5 (6 enodes) 4.241 * * [simplify]: iters left: 4 (19 enodes) 4.246 * * [simplify]: Extracting #0: cost 1 inf + 0 4.246 * * [simplify]: Extracting #1: cost 3 inf + 0 4.246 * * [simplify]: Extracting #2: cost 6 inf + 0 4.246 * * [simplify]: Extracting #3: cost 10 inf + 0 4.246 * * [simplify]: Extracting #4: cost 6 inf + 84 4.247 * * [simplify]: Extracting #5: cost 0 inf + 734 4.247 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d))) 4.247 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (fabs (sqrt (+ (* c c) (* d d)))))) 4.247 * * * * [progress]: [ 15 / 100 ] simplifiying candidate # 4.248 * * * * [progress]: [ 16 / 100 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* c c) (* d d)))))))> 4.248 * * * * [progress]: [ 17 / 100 ] simplifiying candidate # 4.248 * * * * [progress]: [ 18 / 100 ] simplifiying candidate # 4.248 * * * * [progress]: [ 19 / 100 ] simplifiying candidate # 4.248 * * * * [progress]: [ 20 / 100 ] simplifiying candidate # 4.248 * * * * [progress]: [ 21 / 100 ] simplifiying candidate # 4.248 * * * * [progress]: [ 22 / 100 ] simplifiying candidate # 4.248 * * * * [progress]: [ 23 / 100 ] simplifiying candidate # 4.248 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 4.248 * * [simplify]: iters left: 6 (8 enodes) 4.252 * * [simplify]: iters left: 5 (26 enodes) 4.259 * * [simplify]: Extracting #0: cost 1 inf + 0 4.259 * * [simplify]: Extracting #1: cost 4 inf + 0 4.259 * * [simplify]: Extracting #2: cost 7 inf + 0 4.259 * * [simplify]: Extracting #3: cost 10 inf + 0 4.259 * * [simplify]: Extracting #4: cost 14 inf + 0 4.259 * * [simplify]: Extracting #5: cost 10 inf + 84 4.259 * * [simplify]: Extracting #6: cost 8 inf + 166 4.260 * * [simplify]: Extracting #7: cost 4 inf + 854 4.260 * * [simplify]: Extracting #8: cost 1 inf + 1540 4.261 * * [simplify]: Extracting #9: cost 0 inf + 1782 4.261 * [simplify]: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) 4.261 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 4.261 * * * * [progress]: [ 24 / 100 ] simplifiying candidate # 4.262 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) 4.262 * * [simplify]: iters left: 6 (7 enodes) 4.265 * * [simplify]: iters left: 5 (22 enodes) 4.270 * * [simplify]: Extracting #0: cost 1 inf + 0 4.270 * * [simplify]: Extracting #1: cost 3 inf + 0 4.270 * * [simplify]: Extracting #2: cost 5 inf + 0 4.270 * * [simplify]: Extracting #3: cost 8 inf + 0 4.270 * * [simplify]: Extracting #4: cost 12 inf + 0 4.270 * * [simplify]: Extracting #5: cost 10 inf + 2 4.271 * * [simplify]: Extracting #6: cost 1 inf + 936 4.271 * * [simplify]: Extracting #7: cost 0 inf + 1138 4.271 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) 4.272 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 4.272 * * * * [progress]: [ 25 / 100 ] simplifiying candidate # 4.272 * [simplify]: Simplifying (sqrt 1) 4.272 * * [simplify]: iters left: 1 (2 enodes) 4.275 * * [simplify]: Extracting #0: cost 1 inf + 0 4.275 * * [simplify]: Extracting #1: cost 0 inf + 1 4.275 * [simplify]: Simplified to 1 4.275 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 4.275 * * * * [progress]: [ 26 / 100 ] simplifiying candidate # 4.276 * [simplify]: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) 4.276 * * [simplify]: iters left: 6 (9 enodes) 4.280 * * [simplify]: iters left: 5 (45 enodes) 4.299 * * [simplify]: iters left: 4 (100 enodes) 4.345 * * [simplify]: iters left: 3 (201 enodes) 4.420 * * [simplify]: iters left: 2 (406 enodes) 4.571 * * [simplify]: Extracting #0: cost 1 inf + 0 4.571 * * [simplify]: Extracting #1: cost 3 inf + 0 4.571 * * [simplify]: Extracting #2: cost 6 inf + 0 4.571 * * [simplify]: Extracting #3: cost 62 inf + 0 4.572 * * [simplify]: Extracting #4: cost 166 inf + 460 4.575 * * [simplify]: Extracting #5: cost 131 inf + 12951 4.583 * * [simplify]: Extracting #6: cost 49 inf + 45746 4.594 * * [simplify]: Extracting #7: cost 1 inf + 66256 4.604 * * [simplify]: Extracting #8: cost 0 inf + 65919 4.614 * [simplify]: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) 4.614 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (/ (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) 4.615 * * * * [progress]: [ 27 / 100 ] simplifiying candidate # 4.615 * [simplify]: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) 4.615 * * [simplify]: iters left: 6 (8 enodes) 4.619 * * [simplify]: iters left: 5 (37 enodes) 4.631 * * [simplify]: iters left: 4 (67 enodes) 4.658 * * [simplify]: iters left: 3 (123 enodes) 4.689 * * [simplify]: iters left: 2 (278 enodes) 4.794 * * [simplify]: Extracting #0: cost 1 inf + 0 4.794 * * [simplify]: Extracting #1: cost 3 inf + 0 4.794 * * [simplify]: Extracting #2: cost 50 inf + 0 4.795 * * [simplify]: Extracting #3: cost 150 inf + 0 4.797 * * [simplify]: Extracting #4: cost 194 inf + 1180 4.801 * * [simplify]: Extracting #5: cost 123 inf + 12421 4.817 * * [simplify]: Extracting #6: cost 12 inf + 33804 4.832 * * [simplify]: Extracting #7: cost 0 inf + 36129 4.844 * [simplify]: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) 4.844 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 4.845 * * * * [progress]: [ 28 / 100 ] simplifiying candidate # 4.845 * [simplify]: Simplifying (+ (* c c) (* d d)) 4.845 * * [simplify]: iters left: 4 (5 enodes) 4.846 * * [simplify]: iters left: 3 (16 enodes) 4.848 * * [simplify]: Extracting #0: cost 1 inf + 0 4.848 * * [simplify]: Extracting #1: cost 4 inf + 0 4.848 * * [simplify]: Extracting #2: cost 8 inf + 0 4.848 * * [simplify]: Extracting #3: cost 4 inf + 84 4.848 * * [simplify]: Extracting #4: cost 0 inf + 410 4.849 * [simplify]: Simplified to (+ (* c c) (* d d)) 4.849 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (pow (+ (* c c) (* d d)) (/ 1 2))) (sqrt (+ (* c c) (* d d))))) 4.849 * * * * [progress]: [ 29 / 100 ] simplifiying candidate # 4.849 * * * * [progress]: [ 30 / 100 ] simplifiying candidate # 4.849 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d))) 4.849 * * [simplify]: iters left: 5 (6 enodes) 4.850 * * [simplify]: iters left: 4 (19 enodes) 4.853 * * [simplify]: Extracting #0: cost 1 inf + 0 4.853 * * [simplify]: Extracting #1: cost 3 inf + 0 4.853 * * [simplify]: Extracting #2: cost 6 inf + 0 4.853 * * [simplify]: Extracting #3: cost 10 inf + 0 4.853 * * [simplify]: Extracting #4: cost 6 inf + 84 4.853 * * [simplify]: Extracting #5: cost 0 inf + 734 4.853 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d))) 4.853 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (fabs (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 4.853 * * * * [progress]: [ 31 / 100 ] simplifiying candidate # 4.853 * * * * [progress]: [ 32 / 100 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))> 4.853 * * * * [progress]: [ 33 / 100 ] simplifiying candidate # 4.853 * * * * [progress]: [ 34 / 100 ] simplifiying candidate # 4.853 * [simplify]: Simplifying (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* c c) (* d d))))) 4.854 * * [simplify]: iters left: 6 (14 enodes) 4.856 * * [simplify]: iters left: 5 (48 enodes) 4.863 * * [simplify]: iters left: 4 (51 enodes) 4.869 * * [simplify]: Extracting #0: cost 1 inf + 0 4.869 * * [simplify]: Extracting #1: cost 5 inf + 0 4.869 * * [simplify]: Extracting #2: cost 10 inf + 0 4.869 * * [simplify]: Extracting #3: cost 15 inf + 0 4.869 * * [simplify]: Extracting #4: cost 24 inf + 0 4.869 * * [simplify]: Extracting #5: cost 19 inf + 129 4.870 * * [simplify]: Extracting #6: cost 11 inf + 931 4.870 * * [simplify]: Extracting #7: cost 4 inf + 2236 4.871 * * [simplify]: Extracting #8: cost 0 inf + 3476 4.871 * [simplify]: Simplified to (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* c c) (* d d))))) 4.871 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (exp (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 4.871 * * * * [progress]: [ 35 / 100 ] simplifiying candidate # 4.871 * * * * [progress]: [ 36 / 100 ] simplifiying candidate # 4.871 * * * * [progress]: [ 37 / 100 ] simplifiying candidate # 4.871 * [simplify]: Simplifying (/ (* (* (+ (* 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))))) 4.872 * * [simplify]: iters left: 6 (16 enodes) 4.875 * * [simplify]: iters left: 5 (71 enodes) 4.903 * * [simplify]: iters left: 4 (220 enodes) 5.023 * * [simplify]: Extracting #0: cost 1 inf + 0 5.023 * * [simplify]: Extracting #1: cost 30 inf + 0 5.024 * * [simplify]: Extracting #2: cost 82 inf + 1 5.024 * * [simplify]: Extracting #3: cost 194 inf + 1 5.025 * * [simplify]: Extracting #4: cost 161 inf + 5363 5.034 * * [simplify]: Extracting #5: cost 29 inf + 35105 5.044 * * [simplify]: Extracting #6: cost 1 inf + 43538 5.060 * * [simplify]: Extracting #7: cost 0 inf + 43740 5.081 * [simplify]: Simplified to (/ (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (+ (* d d) (* c c)) (sqrt (+ (* d d) (* c c))))) 5.082 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (cbrt (/ (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (+ (* d d) (* c c)) (sqrt (+ (* d d) (* c c)))))) (sqrt (+ (* c c) (* d d))))) 5.082 * * * * [progress]: [ 38 / 100 ] simplifiying candidate # 5.082 * * * * [progress]: [ 39 / 100 ] simplifiying candidate # 5.082 * * * * [progress]: [ 40 / 100 ] simplifiying candidate # 5.082 * * * * [progress]: [ 41 / 100 ] simplifiying candidate # 5.082 * * * * [progress]: [ 42 / 100 ] simplifiying candidate # 5.082 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 5.082 * * [simplify]: iters left: 6 (16 enodes) 5.086 * * [simplify]: iters left: 5 (58 enodes) 5.094 * * [simplify]: iters left: 4 (73 enodes) 5.105 * * [simplify]: iters left: 3 (80 enodes) 5.120 * * [simplify]: iters left: 2 (83 enodes) 5.141 * * [simplify]: Extracting #0: cost 1 inf + 0 5.142 * * [simplify]: Extracting #1: cost 11 inf + 0 5.142 * * [simplify]: Extracting #2: cost 22 inf + 0 5.142 * * [simplify]: Extracting #3: cost 27 inf + 0 5.142 * * [simplify]: Extracting #4: cost 36 inf + 0 5.142 * * [simplify]: Extracting #5: cost 33 inf + 46 5.142 * * [simplify]: Extracting #6: cost 14 inf + 2774 5.143 * * [simplify]: Extracting #7: cost 2 inf + 8296 5.145 * * [simplify]: Extracting #8: cost 0 inf + 9224 5.146 * [simplify]: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) 5.146 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 5.147 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) 5.147 * * [simplify]: iters left: 6 (14 enodes) 5.150 * * [simplify]: iters left: 5 (46 enodes) 5.156 * * [simplify]: Extracting #0: cost 1 inf + 0 5.156 * * [simplify]: Extracting #1: cost 4 inf + 0 5.156 * * [simplify]: Extracting #2: cost 8 inf + 0 5.156 * * [simplify]: Extracting #3: cost 13 inf + 0 5.156 * * [simplify]: Extracting #4: cost 22 inf + 0 5.156 * * [simplify]: Extracting #5: cost 17 inf + 129 5.156 * * [simplify]: Extracting #6: cost 8 inf + 992 5.156 * * [simplify]: Extracting #7: cost 2 inf + 2366 5.157 * * [simplify]: Extracting #8: cost 0 inf + 3012 5.157 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) 5.157 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 5.158 * * * * [progress]: [ 43 / 100 ] simplifiying candidate # 5.158 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 5.158 * * [simplify]: iters left: 6 (16 enodes) 5.161 * * [simplify]: iters left: 5 (55 enodes) 5.171 * * [simplify]: iters left: 4 (59 enodes) 5.184 * * [simplify]: iters left: 3 (62 enodes) 5.193 * * [simplify]: Extracting #0: cost 1 inf + 0 5.193 * * [simplify]: Extracting #1: cost 7 inf + 0 5.193 * * [simplify]: Extracting #2: cost 15 inf + 0 5.193 * * [simplify]: Extracting #3: cost 21 inf + 0 5.193 * * [simplify]: Extracting #4: cost 30 inf + 0 5.193 * * [simplify]: Extracting #5: cost 26 inf + 87 5.193 * * [simplify]: Extracting #6: cost 9 inf + 2370 5.194 * * [simplify]: Extracting #7: cost 1 inf + 5596 5.195 * * [simplify]: Extracting #8: cost 0 inf + 6080 5.196 * [simplify]: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) 5.196 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 5.196 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) 5.196 * * [simplify]: iters left: 6 (14 enodes) 5.199 * * [simplify]: iters left: 5 (46 enodes) 5.205 * * [simplify]: Extracting #0: cost 1 inf + 0 5.205 * * [simplify]: Extracting #1: cost 4 inf + 0 5.205 * * [simplify]: Extracting #2: cost 8 inf + 0 5.205 * * [simplify]: Extracting #3: cost 13 inf + 0 5.205 * * [simplify]: Extracting #4: cost 22 inf + 0 5.205 * * [simplify]: Extracting #5: cost 17 inf + 129 5.206 * * [simplify]: Extracting #6: cost 8 inf + 992 5.206 * * [simplify]: Extracting #7: cost 2 inf + 2406 5.206 * * [simplify]: Extracting #8: cost 0 inf + 3092 5.207 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) 5.207 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 5.207 * * * * [progress]: [ 44 / 100 ] simplifiying candidate # 5.207 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 5.207 * * [simplify]: iters left: 6 (15 enodes) 5.210 * * [simplify]: iters left: 5 (51 enodes) 5.221 * * [simplify]: iters left: 4 (55 enodes) 5.238 * * [simplify]: iters left: 3 (58 enodes) 5.253 * * [simplify]: Extracting #0: cost 1 inf + 0 5.253 * * [simplify]: Extracting #1: cost 7 inf + 0 5.253 * * [simplify]: Extracting #2: cost 14 inf + 0 5.253 * * [simplify]: Extracting #3: cost 19 inf + 0 5.254 * * [simplify]: Extracting #4: cost 28 inf + 0 5.254 * * [simplify]: Extracting #5: cost 24 inf + 87 5.254 * * [simplify]: Extracting #6: cost 11 inf + 1518 5.255 * * [simplify]: Extracting #7: cost 1 inf + 4752 5.257 * * [simplify]: Extracting #8: cost 0 inf + 5196 5.259 * [simplify]: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) 5.259 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 5.259 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 5.259 * * [simplify]: iters left: 6 (14 enodes) 5.265 * * [simplify]: iters left: 5 (46 enodes) 5.278 * * [simplify]: Extracting #0: cost 1 inf + 0 5.278 * * [simplify]: Extracting #1: cost 4 inf + 0 5.278 * * [simplify]: Extracting #2: cost 8 inf + 0 5.278 * * [simplify]: Extracting #3: cost 13 inf + 0 5.278 * * [simplify]: Extracting #4: cost 22 inf + 0 5.279 * * [simplify]: Extracting #5: cost 17 inf + 129 5.279 * * [simplify]: Extracting #6: cost 8 inf + 992 5.280 * * [simplify]: Extracting #7: cost 2 inf + 2246 5.280 * * [simplify]: Extracting #8: cost 0 inf + 2852 5.281 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) 5.281 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 5.281 * * * * [progress]: [ 45 / 100 ] simplifiying candidate # 5.282 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) 5.282 * * [simplify]: iters left: 6 (12 enodes) 5.290 * * [simplify]: iters left: 5 (43 enodes) 5.302 * * [simplify]: iters left: 4 (49 enodes) 5.316 * * [simplify]: iters left: 3 (53 enodes) 5.329 * * [simplify]: iters left: 2 (54 enodes) 5.342 * * [simplify]: Extracting #0: cost 1 inf + 0 5.342 * * [simplify]: Extracting #1: cost 5 inf + 0 5.342 * * [simplify]: Extracting #2: cost 7 inf + 1 5.342 * * [simplify]: Extracting #3: cost 10 inf + 1 5.342 * * [simplify]: Extracting #4: cost 16 inf + 1 5.342 * * [simplify]: Extracting #5: cost 10 inf + 89 5.343 * * [simplify]: Extracting #6: cost 3 inf + 1073 5.343 * * [simplify]: Extracting #7: cost 0 inf + 1807 5.344 * [simplify]: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 5.344 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 5.345 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) 5.345 * * [simplify]: iters left: 6 (13 enodes) 5.350 * * [simplify]: iters left: 5 (43 enodes) 5.361 * * [simplify]: Extracting #0: cost 1 inf + 0 5.361 * * [simplify]: Extracting #1: cost 4 inf + 0 5.361 * * [simplify]: Extracting #2: cost 8 inf + 0 5.361 * * [simplify]: Extracting #3: cost 14 inf + 0 5.361 * * [simplify]: Extracting #4: cost 22 inf + 0 5.362 * * [simplify]: Extracting #5: cost 17 inf + 45 5.362 * * [simplify]: Extracting #6: cost 10 inf + 537 5.362 * * [simplify]: Extracting #7: cost 4 inf + 1232 5.363 * * [simplify]: Extracting #8: cost 1 inf + 1964 5.364 * * [simplify]: Extracting #9: cost 0 inf + 2368 5.364 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) 5.365 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 5.365 * * * * [progress]: [ 46 / 100 ] simplifiying candidate # 5.365 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 5.365 * * [simplify]: iters left: 6 (15 enodes) 5.371 * * [simplify]: iters left: 5 (51 enodes) 5.387 * * [simplify]: iters left: 4 (55 enodes) 5.402 * * [simplify]: iters left: 3 (58 enodes) 5.417 * * [simplify]: Extracting #0: cost 1 inf + 0 5.417 * * [simplify]: Extracting #1: cost 7 inf + 0 5.417 * * [simplify]: Extracting #2: cost 14 inf + 0 5.417 * * [simplify]: Extracting #3: cost 19 inf + 0 5.417 * * [simplify]: Extracting #4: cost 28 inf + 0 5.417 * * [simplify]: Extracting #5: cost 24 inf + 87 5.418 * * [simplify]: Extracting #6: cost 11 inf + 1518 5.419 * * [simplify]: Extracting #7: cost 1 inf + 4752 5.421 * * [simplify]: Extracting #8: cost 0 inf + 5196 5.422 * [simplify]: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) 5.422 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 5.423 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 5.423 * * [simplify]: iters left: 6 (14 enodes) 5.429 * * [simplify]: iters left: 5 (46 enodes) 5.441 * * [simplify]: Extracting #0: cost 1 inf + 0 5.441 * * [simplify]: Extracting #1: cost 4 inf + 0 5.441 * * [simplify]: Extracting #2: cost 8 inf + 0 5.441 * * [simplify]: Extracting #3: cost 13 inf + 0 5.441 * * [simplify]: Extracting #4: cost 22 inf + 0 5.442 * * [simplify]: Extracting #5: cost 17 inf + 129 5.442 * * [simplify]: Extracting #6: cost 8 inf + 992 5.443 * * [simplify]: Extracting #7: cost 2 inf + 2246 5.444 * * [simplify]: Extracting #8: cost 0 inf + 2852 5.444 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) 5.445 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 5.445 * * * * [progress]: [ 47 / 100 ] simplifiying candidate # 5.445 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) 5.445 * * [simplify]: iters left: 6 (11 enodes) 5.451 * * [simplify]: iters left: 5 (38 enodes) 5.462 * * [simplify]: iters left: 4 (48 enodes) 5.471 * * [simplify]: iters left: 3 (49 enodes) 5.477 * * [simplify]: Extracting #0: cost 1 inf + 0 5.477 * * [simplify]: Extracting #1: cost 5 inf + 0 5.477 * * [simplify]: Extracting #2: cost 7 inf + 1 5.477 * * [simplify]: Extracting #3: cost 10 inf + 1 5.477 * * [simplify]: Extracting #4: cost 16 inf + 1 5.477 * * [simplify]: Extracting #5: cost 11 inf + 47 5.478 * * [simplify]: Extracting #6: cost 5 inf + 828 5.478 * * [simplify]: Extracting #7: cost 0 inf + 1807 5.478 * [simplify]: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 5.478 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 5.479 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) 5.479 * * [simplify]: iters left: 6 (13 enodes) 5.481 * * [simplify]: iters left: 5 (43 enodes) 5.487 * * [simplify]: Extracting #0: cost 1 inf + 0 5.487 * * [simplify]: Extracting #1: cost 4 inf + 0 5.487 * * [simplify]: Extracting #2: cost 8 inf + 0 5.487 * * [simplify]: Extracting #3: cost 14 inf + 0 5.487 * * [simplify]: Extracting #4: cost 22 inf + 0 5.487 * * [simplify]: Extracting #5: cost 17 inf + 45 5.487 * * [simplify]: Extracting #6: cost 10 inf + 537 5.488 * * [simplify]: Extracting #7: cost 4 inf + 1232 5.488 * * [simplify]: Extracting #8: cost 1 inf + 1964 5.488 * * [simplify]: Extracting #9: cost 0 inf + 2368 5.489 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) 5.489 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 5.489 * * * * [progress]: [ 48 / 100 ] simplifiying candidate # 5.489 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 5.489 * * [simplify]: iters left: 6 (15 enodes) 5.492 * * [simplify]: iters left: 5 (51 enodes) 5.501 * * [simplify]: iters left: 4 (53 enodes) 5.510 * * [simplify]: Extracting #0: cost 1 inf + 0 5.510 * * [simplify]: Extracting #1: cost 6 inf + 0 5.510 * * [simplify]: Extracting #2: cost 12 inf + 0 5.510 * * [simplify]: Extracting #3: cost 17 inf + 0 5.511 * * [simplify]: Extracting #4: cost 26 inf + 0 5.511 * * [simplify]: Extracting #5: cost 22 inf + 87 5.511 * * [simplify]: Extracting #6: cost 14 inf + 707 5.511 * * [simplify]: Extracting #7: cost 7 inf + 1842 5.512 * * [simplify]: Extracting #8: cost 0 inf + 4384 5.512 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 5.512 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 5.513 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) 5.513 * * [simplify]: iters left: 6 (14 enodes) 5.516 * * [simplify]: iters left: 5 (46 enodes) 5.522 * * [simplify]: Extracting #0: cost 1 inf + 0 5.522 * * [simplify]: Extracting #1: cost 4 inf + 0 5.522 * * [simplify]: Extracting #2: cost 8 inf + 0 5.522 * * [simplify]: Extracting #3: cost 13 inf + 0 5.522 * * [simplify]: Extracting #4: cost 22 inf + 0 5.522 * * [simplify]: Extracting #5: cost 17 inf + 129 5.522 * * [simplify]: Extracting #6: cost 8 inf + 912 5.522 * * [simplify]: Extracting #7: cost 2 inf + 2246 5.523 * * [simplify]: Extracting #8: cost 0 inf + 2852 5.523 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) 5.523 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 5.523 * * * * [progress]: [ 49 / 100 ] simplifiying candidate # 5.524 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 5.524 * * [simplify]: iters left: 6 (15 enodes) 5.527 * * [simplify]: iters left: 5 (50 enodes) 5.534 * * [simplify]: Extracting #0: cost 1 inf + 0 5.534 * * [simplify]: Extracting #1: cost 4 inf + 0 5.534 * * [simplify]: Extracting #2: cost 9 inf + 0 5.534 * * [simplify]: Extracting #3: cost 15 inf + 0 5.534 * * [simplify]: Extracting #4: cost 24 inf + 0 5.534 * * [simplify]: Extracting #5: cost 20 inf + 87 5.534 * * [simplify]: Extracting #6: cost 12 inf + 707 5.534 * * [simplify]: Extracting #7: cost 5 inf + 1842 5.535 * * [simplify]: Extracting #8: cost 0 inf + 3416 5.535 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) 5.535 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 5.536 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) 5.536 * * [simplify]: iters left: 6 (14 enodes) 5.539 * * [simplify]: iters left: 5 (46 enodes) 5.548 * * [simplify]: Extracting #0: cost 1 inf + 0 5.548 * * [simplify]: Extracting #1: cost 4 inf + 0 5.548 * * [simplify]: Extracting #2: cost 8 inf + 0 5.548 * * [simplify]: Extracting #3: cost 13 inf + 0 5.548 * * [simplify]: Extracting #4: cost 22 inf + 0 5.548 * * [simplify]: Extracting #5: cost 17 inf + 129 5.548 * * [simplify]: Extracting #6: cost 8 inf + 912 5.549 * * [simplify]: Extracting #7: cost 2 inf + 2286 5.550 * * [simplify]: Extracting #8: cost 0 inf + 2932 5.551 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) 5.551 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 5.551 * * * * [progress]: [ 50 / 100 ] simplifiying candidate # 5.551 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 5.552 * * [simplify]: iters left: 6 (14 enodes) 5.558 * * [simplify]: iters left: 5 (46 enodes) 5.570 * * [simplify]: Extracting #0: cost 1 inf + 0 5.570 * * [simplify]: Extracting #1: cost 4 inf + 0 5.570 * * [simplify]: Extracting #2: cost 8 inf + 0 5.570 * * [simplify]: Extracting #3: cost 13 inf + 0 5.570 * * [simplify]: Extracting #4: cost 22 inf + 0 5.570 * * [simplify]: Extracting #5: cost 17 inf + 129 5.571 * * [simplify]: Extracting #6: cost 8 inf + 912 5.571 * * [simplify]: Extracting #7: cost 2 inf + 2126 5.572 * * [simplify]: Extracting #8: cost 0 inf + 2692 5.573 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) 5.573 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 5.573 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 5.574 * * [simplify]: iters left: 6 (14 enodes) 5.580 * * [simplify]: iters left: 5 (46 enodes) 5.592 * * [simplify]: Extracting #0: cost 1 inf + 0 5.592 * * [simplify]: Extracting #1: cost 4 inf + 0 5.592 * * [simplify]: Extracting #2: cost 8 inf + 0 5.592 * * [simplify]: Extracting #3: cost 13 inf + 0 5.592 * * [simplify]: Extracting #4: cost 22 inf + 0 5.592 * * [simplify]: Extracting #5: cost 17 inf + 129 5.592 * * [simplify]: Extracting #6: cost 8 inf + 912 5.593 * * [simplify]: Extracting #7: cost 2 inf + 2126 5.594 * * [simplify]: Extracting #8: cost 0 inf + 2692 5.595 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) 5.595 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 5.595 * * * * [progress]: [ 51 / 100 ] simplifiying candidate # 5.595 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) 5.596 * * [simplify]: iters left: 6 (11 enodes) 5.601 * * [simplify]: iters left: 5 (38 enodes) 5.613 * * [simplify]: iters left: 4 (40 enodes) 5.623 * * [simplify]: iters left: 3 (42 enodes) 5.628 * * [simplify]: Extracting #0: cost 1 inf + 0 5.628 * * [simplify]: Extracting #1: cost 4 inf + 0 5.628 * * [simplify]: Extracting #2: cost 6 inf + 1 5.628 * * [simplify]: Extracting #3: cost 12 inf + 1 5.628 * * [simplify]: Extracting #4: cost 7 inf + 47 5.628 * * [simplify]: Extracting #5: cost 0 inf + 749 5.629 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c))) 5.629 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 5.629 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) 5.629 * * [simplify]: iters left: 6 (13 enodes) 5.632 * * [simplify]: iters left: 5 (43 enodes) 5.637 * * [simplify]: Extracting #0: cost 1 inf + 0 5.637 * * [simplify]: Extracting #1: cost 4 inf + 0 5.637 * * [simplify]: Extracting #2: cost 8 inf + 0 5.637 * * [simplify]: Extracting #3: cost 14 inf + 0 5.637 * * [simplify]: Extracting #4: cost 22 inf + 0 5.637 * * [simplify]: Extracting #5: cost 17 inf + 45 5.638 * * [simplify]: Extracting #6: cost 10 inf + 537 5.638 * * [simplify]: Extracting #7: cost 4 inf + 1192 5.638 * * [simplify]: Extracting #8: cost 1 inf + 1844 5.638 * * [simplify]: Extracting #9: cost 0 inf + 2208 5.639 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) 5.639 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 5.639 * * * * [progress]: [ 52 / 100 ] simplifiying candidate # 5.639 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 5.639 * * [simplify]: iters left: 6 (14 enodes) 5.642 * * [simplify]: iters left: 5 (46 enodes) 5.648 * * [simplify]: Extracting #0: cost 1 inf + 0 5.648 * * [simplify]: Extracting #1: cost 4 inf + 0 5.648 * * [simplify]: Extracting #2: cost 8 inf + 0 5.648 * * [simplify]: Extracting #3: cost 13 inf + 0 5.648 * * [simplify]: Extracting #4: cost 22 inf + 0 5.648 * * [simplify]: Extracting #5: cost 17 inf + 129 5.648 * * [simplify]: Extracting #6: cost 8 inf + 912 5.649 * * [simplify]: Extracting #7: cost 2 inf + 2126 5.649 * * [simplify]: Extracting #8: cost 0 inf + 2692 5.650 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) 5.650 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 5.650 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 5.650 * * [simplify]: iters left: 6 (14 enodes) 5.653 * * [simplify]: iters left: 5 (46 enodes) 5.664 * * [simplify]: Extracting #0: cost 1 inf + 0 5.664 * * [simplify]: Extracting #1: cost 4 inf + 0 5.664 * * [simplify]: Extracting #2: cost 8 inf + 0 5.664 * * [simplify]: Extracting #3: cost 13 inf + 0 5.665 * * [simplify]: Extracting #4: cost 22 inf + 0 5.665 * * [simplify]: Extracting #5: cost 17 inf + 129 5.665 * * [simplify]: Extracting #6: cost 8 inf + 912 5.666 * * [simplify]: Extracting #7: cost 2 inf + 2126 5.667 * * [simplify]: Extracting #8: cost 0 inf + 2692 5.668 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) 5.668 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 5.668 * * * * [progress]: [ 53 / 100 ] simplifiying candidate # 5.668 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) 1) 5.668 * * [simplify]: iters left: 6 (10 enodes) 5.673 * * [simplify]: iters left: 5 (33 enodes) 5.682 * * [simplify]: iters left: 4 (35 enodes) 5.692 * * [simplify]: Extracting #0: cost 1 inf + 0 5.692 * * [simplify]: Extracting #1: cost 4 inf + 0 5.692 * * [simplify]: Extracting #2: cost 6 inf + 1 5.692 * * [simplify]: Extracting #3: cost 12 inf + 1 5.692 * * [simplify]: Extracting #4: cost 7 inf + 47 5.692 * * [simplify]: Extracting #5: cost 0 inf + 749 5.693 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c))) 5.693 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 5.693 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) 5.693 * * [simplify]: iters left: 6 (13 enodes) 5.699 * * [simplify]: iters left: 5 (43 enodes) 5.710 * * [simplify]: Extracting #0: cost 1 inf + 0 5.710 * * [simplify]: Extracting #1: cost 4 inf + 0 5.710 * * [simplify]: Extracting #2: cost 8 inf + 0 5.710 * * [simplify]: Extracting #3: cost 14 inf + 0 5.710 * * [simplify]: Extracting #4: cost 22 inf + 0 5.710 * * [simplify]: Extracting #5: cost 17 inf + 45 5.710 * * [simplify]: Extracting #6: cost 10 inf + 537 5.711 * * [simplify]: Extracting #7: cost 4 inf + 1192 5.712 * * [simplify]: Extracting #8: cost 1 inf + 1844 5.712 * * [simplify]: Extracting #9: cost 0 inf + 2208 5.713 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) 5.713 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (+ (* a c) (* b d))) 1) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 5.713 * * * * [progress]: [ 54 / 100 ] simplifiying candidate # 5.714 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 5.714 * * [simplify]: iters left: 6 (10 enodes) 5.719 * * [simplify]: iters left: 5 (35 enodes) 5.732 * * [simplify]: iters left: 4 (39 enodes) 5.743 * * [simplify]: Extracting #0: cost 1 inf + 0 5.743 * * [simplify]: Extracting #1: cost 6 inf + 0 5.744 * * [simplify]: Extracting #2: cost 9 inf + 1 5.744 * * [simplify]: Extracting #3: cost 11 inf + 1 5.744 * * [simplify]: Extracting #4: cost 14 inf + 1 5.744 * * [simplify]: Extracting #5: cost 18 inf + 1 5.744 * * [simplify]: Extracting #6: cost 16 inf + 3 5.744 * * [simplify]: Extracting #7: cost 11 inf + 289 5.744 * * [simplify]: Extracting #8: cost 6 inf + 1219 5.745 * * [simplify]: Extracting #9: cost 0 inf + 2995 5.746 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 5.746 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 5.746 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) 5.747 * * [simplify]: iters left: 6 (13 enodes) 5.752 * * [simplify]: iters left: 5 (43 enodes) 5.764 * * [simplify]: Extracting #0: cost 1 inf + 0 5.764 * * [simplify]: Extracting #1: cost 4 inf + 0 5.764 * * [simplify]: Extracting #2: cost 9 inf + 0 5.764 * * [simplify]: Extracting #3: cost 17 inf + 0 5.764 * * [simplify]: Extracting #4: cost 16 inf + 4 5.765 * * [simplify]: Extracting #5: cost 12 inf + 334 5.765 * * [simplify]: Extracting #6: cost 5 inf + 1108 5.766 * * [simplify]: Extracting #7: cost 1 inf + 2040 5.766 * * [simplify]: Extracting #8: cost 0 inf + 2444 5.767 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) 5.767 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 5.767 * * * * [progress]: [ 55 / 100 ] simplifiying candidate # 5.768 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 5.768 * * [simplify]: iters left: 6 (10 enodes) 5.773 * * [simplify]: iters left: 5 (34 enodes) 5.783 * * [simplify]: iters left: 4 (36 enodes) 5.793 * * [simplify]: Extracting #0: cost 1 inf + 0 5.793 * * [simplify]: Extracting #1: cost 4 inf + 0 5.793 * * [simplify]: Extracting #2: cost 6 inf + 1 5.793 * * [simplify]: Extracting #3: cost 9 inf + 1 5.793 * * [simplify]: Extracting #4: cost 12 inf + 1 5.793 * * [simplify]: Extracting #5: cost 16 inf + 1 5.793 * * [simplify]: Extracting #6: cost 14 inf + 3 5.793 * * [simplify]: Extracting #7: cost 10 inf + 248 5.794 * * [simplify]: Extracting #8: cost 2 inf + 1824 5.795 * * [simplify]: Extracting #9: cost 0 inf + 2349 5.795 * [simplify]: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) 5.795 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 5.796 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) 5.796 * * [simplify]: iters left: 6 (13 enodes) 5.801 * * [simplify]: iters left: 5 (43 enodes) 5.812 * * [simplify]: Extracting #0: cost 1 inf + 0 5.812 * * [simplify]: Extracting #1: cost 4 inf + 0 5.812 * * [simplify]: Extracting #2: cost 9 inf + 0 5.813 * * [simplify]: Extracting #3: cost 17 inf + 0 5.813 * * [simplify]: Extracting #4: cost 16 inf + 4 5.813 * * [simplify]: Extracting #5: cost 12 inf + 334 5.813 * * [simplify]: Extracting #6: cost 5 inf + 1148 5.814 * * [simplify]: Extracting #7: cost 1 inf + 2120 5.815 * * [simplify]: Extracting #8: cost 0 inf + 2524 5.816 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) 5.816 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 5.816 * * * * [progress]: [ 56 / 100 ] simplifiying candidate # 5.816 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 5.816 * * [simplify]: iters left: 6 (9 enodes) 5.821 * * [simplify]: iters left: 5 (30 enodes) 5.830 * * [simplify]: iters left: 4 (32 enodes) 5.839 * * [simplify]: Extracting #0: cost 1 inf + 0 5.839 * * [simplify]: Extracting #1: cost 4 inf + 0 5.839 * * [simplify]: Extracting #2: cost 5 inf + 1 5.839 * * [simplify]: Extracting #3: cost 7 inf + 1 5.839 * * [simplify]: Extracting #4: cost 10 inf + 1 5.839 * * [simplify]: Extracting #5: cost 14 inf + 1 5.839 * * [simplify]: Extracting #6: cost 12 inf + 3 5.839 * * [simplify]: Extracting #7: cost 8 inf + 248 5.840 * * [simplify]: Extracting #8: cost 4 inf + 775 5.840 * * [simplify]: Extracting #9: cost 0 inf + 1625 5.841 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 5.841 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 5.841 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) 5.841 * * [simplify]: iters left: 6 (13 enodes) 5.846 * * [simplify]: iters left: 5 (43 enodes) 5.858 * * [simplify]: Extracting #0: cost 1 inf + 0 5.858 * * [simplify]: Extracting #1: cost 4 inf + 0 5.858 * * [simplify]: Extracting #2: cost 9 inf + 0 5.858 * * [simplify]: Extracting #3: cost 17 inf + 0 5.858 * * [simplify]: Extracting #4: cost 16 inf + 4 5.858 * * [simplify]: Extracting #5: cost 12 inf + 334 5.859 * * [simplify]: Extracting #6: cost 5 inf + 1068 5.859 * * [simplify]: Extracting #7: cost 1 inf + 1920 5.860 * * [simplify]: Extracting #8: cost 0 inf + 2284 5.861 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) 5.861 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 5.861 * * * * [progress]: [ 57 / 100 ] simplifiying candidate # 5.862 * [simplify]: Simplifying (/ 1 (sqrt 1)) 5.862 * * [simplify]: iters left: 3 (3 enodes) 5.867 * * [simplify]: iters left: 2 (11 enodes) 5.870 * * [simplify]: iters left: 1 (13 enodes) 5.873 * * [simplify]: Extracting #0: cost 1 inf + 0 5.873 * * [simplify]: Extracting #1: cost 0 inf + 1 5.873 * [simplify]: Simplified to 1 5.873 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* 1 (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 5.874 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) 5.874 * * [simplify]: iters left: 6 (12 enodes) 5.881 * * [simplify]: iters left: 5 (40 enodes) 5.890 * * [simplify]: Extracting #0: cost 1 inf + 0 5.891 * * [simplify]: Extracting #1: cost 4 inf + 0 5.891 * * [simplify]: Extracting #2: cost 9 inf + 0 5.891 * * [simplify]: Extracting #3: cost 18 inf + 0 5.891 * * [simplify]: Extracting #4: cost 11 inf + 372 5.891 * * [simplify]: Extracting #5: cost 1 inf + 1476 5.891 * * [simplify]: Extracting #6: cost 0 inf + 1800 5.892 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) 5.892 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* 1 (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 5.892 * * * * [progress]: [ 58 / 100 ] simplifiying candidate # 5.892 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 5.892 * * [simplify]: iters left: 6 (9 enodes) 5.895 * * [simplify]: iters left: 5 (30 enodes) 5.900 * * [simplify]: iters left: 4 (32 enodes) 5.904 * * [simplify]: Extracting #0: cost 1 inf + 0 5.904 * * [simplify]: Extracting #1: cost 4 inf + 0 5.904 * * [simplify]: Extracting #2: cost 5 inf + 1 5.904 * * [simplify]: Extracting #3: cost 7 inf + 1 5.904 * * [simplify]: Extracting #4: cost 10 inf + 1 5.904 * * [simplify]: Extracting #5: cost 14 inf + 1 5.905 * * [simplify]: Extracting #6: cost 12 inf + 3 5.905 * * [simplify]: Extracting #7: cost 8 inf + 248 5.905 * * [simplify]: Extracting #8: cost 4 inf + 775 5.905 * * [simplify]: Extracting #9: cost 0 inf + 1625 5.905 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 5.905 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 5.906 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) 5.906 * * [simplify]: iters left: 6 (13 enodes) 5.908 * * [simplify]: iters left: 5 (43 enodes) 5.914 * * [simplify]: Extracting #0: cost 1 inf + 0 5.914 * * [simplify]: Extracting #1: cost 4 inf + 0 5.914 * * [simplify]: Extracting #2: cost 9 inf + 0 5.914 * * [simplify]: Extracting #3: cost 17 inf + 0 5.914 * * [simplify]: Extracting #4: cost 16 inf + 4 5.914 * * [simplify]: Extracting #5: cost 12 inf + 334 5.915 * * [simplify]: Extracting #6: cost 5 inf + 1068 5.915 * * [simplify]: Extracting #7: cost 1 inf + 1920 5.915 * * [simplify]: Extracting #8: cost 0 inf + 2284 5.916 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) 5.916 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 5.916 * * * * [progress]: [ 59 / 100 ] simplifiying candidate # 5.916 * [simplify]: Simplifying (/ 1 1) 5.916 * * [simplify]: iters left: 2 (2 enodes) 5.917 * * [simplify]: iters left: 1 (6 enodes) 5.918 * * [simplify]: Extracting #0: cost 1 inf + 0 5.918 * * [simplify]: Extracting #1: cost 0 inf + 1 5.918 * [simplify]: Simplified to 1 5.918 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* 1 (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 5.919 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) 5.919 * * [simplify]: iters left: 6 (12 enodes) 5.921 * * [simplify]: iters left: 5 (40 enodes) 5.932 * * [simplify]: Extracting #0: cost 1 inf + 0 5.932 * * [simplify]: Extracting #1: cost 4 inf + 0 5.932 * * [simplify]: Extracting #2: cost 9 inf + 0 5.932 * * [simplify]: Extracting #3: cost 18 inf + 0 5.932 * * [simplify]: Extracting #4: cost 11 inf + 372 5.933 * * [simplify]: Extracting #5: cost 1 inf + 1476 5.933 * * [simplify]: Extracting #6: cost 0 inf + 1800 5.934 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) 5.934 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* 1 (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 5.934 * * * * [progress]: [ 60 / 100 ] simplifiying candidate # 5.934 * * * * [progress]: [ 61 / 100 ] simplifiying candidate # 5.934 * * * * [progress]: [ 62 / 100 ] simplifiying candidate # 5.934 * * * * [progress]: [ 63 / 100 ] simplifiying candidate # 5.935 * [simplify]: Simplifying (cbrt (sqrt (+ (* c c) (* d d)))) 5.935 * * [simplify]: iters left: 6 (7 enodes) 5.938 * * [simplify]: iters left: 5 (22 enodes) 5.944 * * [simplify]: Extracting #0: cost 1 inf + 0 5.944 * * [simplify]: Extracting #1: cost 3 inf + 0 5.944 * * [simplify]: Extracting #2: cost 5 inf + 0 5.944 * * [simplify]: Extracting #3: cost 8 inf + 0 5.944 * * [simplify]: Extracting #4: cost 12 inf + 0 5.944 * * [simplify]: Extracting #5: cost 10 inf + 2 5.945 * * [simplify]: Extracting #6: cost 1 inf + 976 5.945 * * [simplify]: Extracting #7: cost 0 inf + 1218 5.945 * [simplify]: Simplified to (cbrt (sqrt (+ (* c c) (* d d)))) 5.945 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 5.946 * * * * [progress]: [ 64 / 100 ] simplifiying candidate # 5.946 * [simplify]: Simplifying (sqrt (cbrt (+ (* c c) (* d d)))) 5.946 * * [simplify]: iters left: 6 (7 enodes) 5.949 * * [simplify]: iters left: 5 (22 enodes) 5.955 * * [simplify]: Extracting #0: cost 1 inf + 0 5.955 * * [simplify]: Extracting #1: cost 3 inf + 0 5.955 * * [simplify]: Extracting #2: cost 5 inf + 0 5.955 * * [simplify]: Extracting #3: cost 8 inf + 0 5.955 * * [simplify]: Extracting #4: cost 12 inf + 0 5.955 * * [simplify]: Extracting #5: cost 10 inf + 2 5.956 * * [simplify]: Extracting #6: cost 1 inf + 1056 5.956 * * [simplify]: Extracting #7: cost 0 inf + 1298 5.956 * [simplify]: Simplified to (sqrt (cbrt (+ (* c c) (* d d)))) 5.956 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 5.957 * * * * [progress]: [ 65 / 100 ] simplifiying candidate # 5.957 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) 5.957 * * [simplify]: iters left: 6 (7 enodes) 5.960 * * [simplify]: iters left: 5 (22 enodes) 5.966 * * [simplify]: Extracting #0: cost 1 inf + 0 5.966 * * [simplify]: Extracting #1: cost 3 inf + 0 5.966 * * [simplify]: Extracting #2: cost 5 inf + 0 5.966 * * [simplify]: Extracting #3: cost 8 inf + 0 5.966 * * [simplify]: Extracting #4: cost 12 inf + 0 5.966 * * [simplify]: Extracting #5: cost 10 inf + 2 5.966 * * [simplify]: Extracting #6: cost 1 inf + 936 5.967 * * [simplify]: Extracting #7: cost 0 inf + 1138 5.967 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) 5.967 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 5.967 * * * * [progress]: [ 66 / 100 ] simplifiying candidate # 5.968 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d))) 5.968 * * [simplify]: iters left: 5 (6 enodes) 5.970 * * [simplify]: iters left: 4 (19 enodes) 5.975 * * [simplify]: Extracting #0: cost 1 inf + 0 5.975 * * [simplify]: Extracting #1: cost 3 inf + 0 5.976 * * [simplify]: Extracting #2: cost 6 inf + 0 5.976 * * [simplify]: Extracting #3: cost 10 inf + 0 5.976 * * [simplify]: Extracting #4: cost 6 inf + 84 5.976 * * [simplify]: Extracting #5: cost 0 inf + 734 5.976 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d))) 5.976 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt 1)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) 5.976 * * * * [progress]: [ 67 / 100 ] simplifiying candidate # 5.977 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) 5.977 * * [simplify]: iters left: 6 (7 enodes) 5.980 * * [simplify]: iters left: 5 (22 enodes) 5.986 * * [simplify]: Extracting #0: cost 1 inf + 0 5.986 * * [simplify]: Extracting #1: cost 3 inf + 0 5.986 * * [simplify]: Extracting #2: cost 5 inf + 0 5.986 * * [simplify]: Extracting #3: cost 8 inf + 0 5.986 * * [simplify]: Extracting #4: cost 12 inf + 0 5.986 * * [simplify]: Extracting #5: cost 10 inf + 2 5.986 * * [simplify]: Extracting #6: cost 1 inf + 936 5.987 * * [simplify]: Extracting #7: cost 0 inf + 1138 5.988 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) 5.988 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 5.988 * * * * [progress]: [ 68 / 100 ] simplifiying candidate # 5.988 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d))) 5.988 * * [simplify]: iters left: 5 (6 enodes) 5.990 * * [simplify]: iters left: 4 (19 enodes) 5.993 * * [simplify]: Extracting #0: cost 1 inf + 0 5.993 * * [simplify]: Extracting #1: cost 3 inf + 0 5.993 * * [simplify]: Extracting #2: cost 6 inf + 0 5.993 * * [simplify]: Extracting #3: cost 10 inf + 0 5.993 * * [simplify]: Extracting #4: cost 6 inf + 84 5.993 * * [simplify]: Extracting #5: cost 0 inf + 734 5.993 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d))) 5.993 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) 1) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) 5.993 * * * * [progress]: [ 69 / 100 ] simplifiying candidate # 5.993 * [simplify]: Simplifying (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 5.993 * * [simplify]: iters left: 6 (9 enodes) 5.995 * * [simplify]: iters left: 5 (30 enodes) 6.001 * * [simplify]: Extracting #0: cost 1 inf + 0 6.001 * * [simplify]: Extracting #1: cost 3 inf + 0 6.001 * * [simplify]: Extracting #2: cost 5 inf + 0 6.001 * * [simplify]: Extracting #3: cost 8 inf + 0 6.001 * * [simplify]: Extracting #4: cost 14 inf + 0 6.001 * * [simplify]: Extracting #5: cost 9 inf + 46 6.001 * * [simplify]: Extracting #6: cost 4 inf + 500 6.001 * * [simplify]: Extracting #7: cost 1 inf + 1072 6.001 * * [simplify]: Extracting #8: cost 0 inf + 1316 6.002 * [simplify]: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 6.002 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d))))) 6.002 * * * * [progress]: [ 70 / 100 ] simplifiying candidate # 6.002 * [simplify]: Simplifying (sqrt (+ (* a c) (* b d))) 6.002 * * [simplify]: iters left: 5 (8 enodes) 6.004 * * [simplify]: iters left: 4 (27 enodes) 6.007 * * [simplify]: Extracting #0: cost 1 inf + 0 6.007 * * [simplify]: Extracting #1: cost 3 inf + 0 6.007 * * [simplify]: Extracting #2: cost 6 inf + 0 6.007 * * [simplify]: Extracting #3: cost 12 inf + 0 6.007 * * [simplify]: Extracting #4: cost 8 inf + 4 6.008 * * [simplify]: Extracting #5: cost 1 inf + 584 6.008 * * [simplify]: Extracting #6: cost 0 inf + 748 6.008 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c))) 6.008 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d))))) 6.008 * * * * [progress]: [ 71 / 100 ] simplifiying candidate # 6.008 * * * * [progress]: [ 72 / 100 ] simplifiying candidate # 6.008 * [simplify]: Simplifying (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) 6.008 * * [simplify]: iters left: 6 (10 enodes) 6.011 * * [simplify]: iters left: 5 (52 enodes) 6.024 * * [simplify]: iters left: 4 (119 enodes) 6.057 * * [simplify]: iters left: 3 (234 enodes) 6.110 * * [simplify]: iters left: 2 (366 enodes) 6.221 * * [simplify]: Extracting #0: cost 1 inf + 0 6.221 * * [simplify]: Extracting #1: cost 3 inf + 0 6.221 * * [simplify]: Extracting #2: cost 22 inf + 0 6.222 * * [simplify]: Extracting #3: cost 148 inf + 0 6.223 * * [simplify]: Extracting #4: cost 202 inf + 2230 6.229 * * [simplify]: Extracting #5: cost 83 inf + 22274 6.236 * * [simplify]: Extracting #6: cost 1 inf + 35108 6.244 * * [simplify]: Extracting #7: cost 0 inf + 35040 6.258 * [simplify]: Simplified to (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) 6.258 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 6.258 * * * * [progress]: [ 73 / 100 ] simplifiying candidate # 6.259 * [simplify]: Simplifying (sqrt (- (* c c) (* d d))) 6.259 * * [simplify]: iters left: 5 (6 enodes) 6.262 * * [simplify]: iters left: 4 (23 enodes) 6.269 * * [simplify]: iters left: 3 (36 enodes) 6.276 * * [simplify]: iters left: 2 (53 enodes) 6.285 * * [simplify]: iters left: 1 (94 enodes) 6.303 * * [simplify]: Extracting #0: cost 1 inf + 0 6.303 * * [simplify]: Extracting #1: cost 3 inf + 0 6.303 * * [simplify]: Extracting #2: cost 32 inf + 0 6.303 * * [simplify]: Extracting #3: cost 48 inf + 0 6.303 * * [simplify]: Extracting #4: cost 42 inf + 247 6.304 * * [simplify]: Extracting #5: cost 18 inf + 3412 6.305 * * [simplify]: Extracting #6: cost 0 inf + 5728 6.306 * * [simplify]: Extracting #7: cost 0 inf + 5448 6.307 * [simplify]: Simplified to (sqrt (- (* c c) (* d d))) 6.307 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (- (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) 6.307 * * * * [progress]: [ 74 / 100 ] simplifiying candidate # 6.308 * [simplify]: Simplifying (+ (pow (* a c) 3) (pow (* b d) 3)) 6.308 * * [simplify]: iters left: 5 (10 enodes) 6.312 * * [simplify]: iters left: 4 (52 enodes) 6.325 * * [simplify]: iters left: 3 (145 enodes) 6.368 * * [simplify]: iters left: 2 (335 enodes) 6.481 * * [simplify]: Extracting #0: cost 1 inf + 0 6.481 * * [simplify]: Extracting #1: cost 4 inf + 0 6.481 * * [simplify]: Extracting #2: cost 51 inf + 0 6.482 * * [simplify]: Extracting #3: cost 124 inf + 950 6.483 * * [simplify]: Extracting #4: cost 89 inf + 8397 6.489 * * [simplify]: Extracting #5: cost 14 inf + 28399 6.492 * * [simplify]: Extracting #6: cost 1 inf + 33494 6.496 * * [simplify]: Extracting #7: cost 0 inf + 33747 6.500 * [simplify]: Simplified to (+ (* (* (* b d) (* b d)) (* b d)) (* (* a c) (* (* a c) (* a c)))) 6.500 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (/ (+ (* (* (* b d) (* b d)) (* b d)) (* (* a c) (* (* a c) (* a c)))) (* (sqrt (+ (* c c) (* d d))) (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d))))) 6.500 * * * * [progress]: [ 75 / 100 ] simplifiying candidate # 6.501 * [simplify]: Simplifying (- (* (* a c) (* a c)) (* (* b d) (* b d))) 6.501 * * [simplify]: iters left: 6 (9 enodes) 6.503 * * [simplify]: iters left: 5 (48 enodes) 6.514 * * [simplify]: iters left: 4 (111 enodes) 6.553 * * [simplify]: iters left: 3 (181 enodes) 6.612 * * [simplify]: iters left: 2 (262 enodes) 6.686 * * [simplify]: iters left: 1 (473 enodes) 6.864 * * [simplify]: Extracting #0: cost 1 inf + 0 6.864 * * [simplify]: Extracting #1: cost 22 inf + 0 6.864 * * [simplify]: Extracting #2: cost 110 inf + 0 6.865 * * [simplify]: Extracting #3: cost 142 inf + 1440 6.871 * * [simplify]: Extracting #4: cost 41 inf + 15973 6.877 * * [simplify]: Extracting #5: cost 0 inf + 23364 6.891 * * [simplify]: Extracting #6: cost 0 inf + 23124 6.905 * [simplify]: Simplified to (- (* (* a c) (* a c)) (* (* b d) (* b d))) 6.905 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (/ (- (* (* a c) (* a c)) (* (* b d) (* b d))) (* (sqrt (+ (* c c) (* d d))) (- (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))) 6.905 * * * * [progress]: [ 76 / 100 ] simplifiying candidate #real (real->posit16 (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))> 6.905 * * * * [progress]: [ 77 / 100 ] simplifiying candidate # 6.906 * [simplify]: Simplifying (* (exp (* a c)) (exp (* b d))) 6.906 * * [simplify]: iters left: 5 (9 enodes) 6.909 * * [simplify]: iters left: 4 (36 enodes) 6.919 * * [simplify]: iters left: 3 (55 enodes) 6.935 * * [simplify]: iters left: 2 (91 enodes) 6.957 * * [simplify]: iters left: 1 (191 enodes) 7.050 * * [simplify]: Extracting #0: cost 1 inf + 0 7.050 * * [simplify]: Extracting #1: cost 38 inf + 0 7.051 * * [simplify]: Extracting #2: cost 150 inf + 0 7.052 * * [simplify]: Extracting #3: cost 173 inf + 772 7.055 * * [simplify]: Extracting #4: cost 148 inf + 4628 7.059 * * [simplify]: Extracting #5: cost 93 inf + 18511 7.070 * * [simplify]: Extracting #6: cost 27 inf + 61555 7.086 * * [simplify]: Extracting #7: cost 0 inf + 82217 7.094 * [simplify]: Simplified to (exp (+ (* a c) (* b d))) 7.094 * [simplify]: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (log (exp (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) 7.094 * * * * [progress]: [ 78 / 100 ] simplifiying candidate # 7.094 * * * * [progress]: [ 79 / 100 ] simplifiying candidate # 7.094 * * * * [progress]: [ 80 / 100 ] simplifiying candidate # 7.094 * * * * [progress]: [ 81 / 100 ] simplifiying candidate # 7.094 * * * * [progress]: [ 82 / 100 ] simplifiying candidate # 7.094 * * * * [progress]: [ 83 / 100 ] simplifiying candidate # 7.094 * * * * [progress]: [ 84 / 100 ] simplifiying candidate # 7.095 * * * * [progress]: [ 85 / 100 ] simplifiying candidate # 7.095 * * * * [progress]: [ 86 / 100 ] simplifiying candidate # 7.095 * * * * [progress]: [ 87 / 100 ] simplifiying candidate #real (real->posit16 (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))> 7.095 * * * * [progress]: [ 88 / 100 ] simplifiying candidate # 7.095 * * * * [progress]: [ 89 / 100 ] simplifiying candidate # 7.095 * [simplify]: Simplifying d 7.095 * * [simplify]: iters left: 0 (1 enodes) 7.095 * * [simplify]: Extracting #0: cost 1 inf + 0 7.095 * * [simplify]: Extracting #1: cost 0 inf + 1 7.095 * [simplify]: Simplified to d 7.095 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) d)) 7.095 * * * * [progress]: [ 90 / 100 ] simplifiying candidate # 7.095 * [simplify]: Simplifying c 7.096 * * [simplify]: iters left: 0 (1 enodes) 7.096 * * [simplify]: Extracting #0: cost 1 inf + 0 7.096 * * [simplify]: Extracting #1: cost 0 inf + 1 7.096 * [simplify]: Simplified to c 7.096 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) c)) 7.096 * * * * [progress]: [ 91 / 100 ] simplifiying candidate # 7.096 * [simplify]: Simplifying (* -1 c) 7.096 * * [simplify]: iters left: 2 (3 enodes) 7.097 * * [simplify]: iters left: 1 (11 enodes) 7.099 * * [simplify]: Extracting #0: cost 1 inf + 0 7.099 * * [simplify]: Extracting #1: cost 4 inf + 0 7.099 * * [simplify]: Extracting #2: cost 0 inf + 84 7.099 * [simplify]: Simplified to (- c) 7.099 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (- c))) 7.099 * * * * [progress]: [ 92 / 100 ] simplifiying candidate # 7.099 * [simplify]: Simplifying d 7.099 * * [simplify]: iters left: 0 (1 enodes) 7.100 * * [simplify]: Extracting #0: cost 1 inf + 0 7.100 * * [simplify]: Extracting #1: cost 0 inf + 1 7.100 * [simplify]: Simplified to d 7.100 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) d) (sqrt (+ (* c c) (* d d))))) 7.100 * * * * [progress]: [ 93 / 100 ] simplifiying candidate # 7.100 * [simplify]: Simplifying c 7.100 * * [simplify]: iters left: 0 (1 enodes) 7.100 * * [simplify]: Extracting #0: cost 1 inf + 0 7.100 * * [simplify]: Extracting #1: cost 0 inf + 1 7.100 * [simplify]: Simplified to c 7.100 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) c) (sqrt (+ (* c c) (* d d))))) 7.100 * * * * [progress]: [ 94 / 100 ] simplifiying candidate # 7.101 * [simplify]: Simplifying (* -1 c) 7.101 * * [simplify]: iters left: 2 (3 enodes) 7.102 * * [simplify]: iters left: 1 (11 enodes) 7.103 * * [simplify]: Extracting #0: cost 1 inf + 0 7.103 * * [simplify]: Extracting #1: cost 4 inf + 0 7.103 * * [simplify]: Extracting #2: cost 0 inf + 84 7.103 * [simplify]: Simplified to (- c) 7.103 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (- c)) (sqrt (+ (* c c) (* d d))))) 7.104 * * * * [progress]: [ 95 / 100 ] simplifiying candidate # 7.104 * [simplify]: Simplifying b 7.104 * * [simplify]: iters left: 0 (1 enodes) 7.104 * * [simplify]: Extracting #0: cost 1 inf + 0 7.104 * * [simplify]: Extracting #1: cost 0 inf + 1 7.104 * [simplify]: Simplified to b 7.104 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d))))) 7.104 * * * * [progress]: [ 96 / 100 ] simplifiying candidate # 7.104 * [simplify]: Simplifying a 7.104 * * [simplify]: iters left: 0 (1 enodes) 7.105 * * [simplify]: Extracting #0: cost 1 inf + 0 7.105 * * [simplify]: Extracting #1: cost 0 inf + 1 7.105 * [simplify]: Simplified to a 7.105 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d))))) 7.105 * * * * [progress]: [ 97 / 100 ] simplifiying candidate # 7.105 * [simplify]: Simplifying (* -1 a) 7.105 * * [simplify]: iters left: 2 (3 enodes) 7.106 * * [simplify]: iters left: 1 (11 enodes) 7.107 * * [simplify]: Extracting #0: cost 1 inf + 0 7.107 * * [simplify]: Extracting #1: cost 4 inf + 0 7.108 * * [simplify]: Extracting #2: cost 0 inf + 84 7.108 * [simplify]: Simplified to (- a) 7.108 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d))))) 7.108 * * * * [progress]: [ 98 / 100 ] simplifiying candidate # 7.108 * [simplify]: Simplifying 0 7.108 * * [simplify]: iters left: 0 (1 enodes) 7.108 * * [simplify]: Extracting #0: cost 1 inf + 0 7.108 * * [simplify]: Extracting #1: cost 0 inf + 1 7.108 * [simplify]: Simplified to 0 7.108 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (/ 0 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) 7.108 * * * * [progress]: [ 99 / 100 ] simplifiying candidate # 7.109 * [simplify]: Simplifying (+ (* a c) (* b d)) 7.109 * * [simplify]: iters left: 4 (7 enodes) 7.111 * * [simplify]: iters left: 3 (24 enodes) 7.118 * * [simplify]: Extracting #0: cost 1 inf + 0 7.118 * * [simplify]: Extracting #1: cost 4 inf + 0 7.118 * * [simplify]: Extracting #2: cost 10 inf + 0 7.118 * * [simplify]: Extracting #3: cost 6 inf + 4 7.118 * * [simplify]: Extracting #4: cost 1 inf + 296 7.118 * * [simplify]: Extracting #5: cost 0 inf + 420 7.119 * [simplify]: Simplified to (+ (* b d) (* a c)) 7.119 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) 7.119 * * * * [progress]: [ 100 / 100 ] simplifiying candidate # 7.119 * [simplify]: Simplifying (+ (* a c) (* b d)) 7.119 * * [simplify]: iters left: 4 (7 enodes) 7.122 * * [simplify]: iters left: 3 (24 enodes) 7.128 * * [simplify]: Extracting #0: cost 1 inf + 0 7.128 * * [simplify]: Extracting #1: cost 4 inf + 0 7.129 * * [simplify]: Extracting #2: cost 10 inf + 0 7.129 * * [simplify]: Extracting #3: cost 6 inf + 4 7.129 * * [simplify]: Extracting #4: cost 1 inf + 296 7.129 * * [simplify]: Extracting #5: cost 0 inf + 420 7.129 * [simplify]: Simplified to (+ (* b d) (* a c)) 7.129 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) 7.130 * * * [progress]: adding candidates to table 8.332 * * [progress]: iteration 3 / 4 8.333 * * * [progress]: picking best candidate 8.379 * * * * [pick]: Picked # 8.379 * * * [progress]: localizing error 8.409 * * * [progress]: generating rewritten candidates 8.409 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 8.416 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 8.422 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 8.467 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 8.485 * * * [progress]: generating series expansions 8.485 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 8.485 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2))) 8.485 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0 8.485 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d 8.485 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 8.485 * [taylor]: Taking taylor expansion of (pow c 2) in d 8.485 * [taylor]: Taking taylor expansion of c in d 8.485 * [backup-simplify]: Simplify c into c 8.485 * [taylor]: Taking taylor expansion of (pow d 2) in d 8.485 * [taylor]: Taking taylor expansion of d in d 8.485 * [backup-simplify]: Simplify 0 into 0 8.485 * [backup-simplify]: Simplify 1 into 1 8.485 * [backup-simplify]: Simplify (* c c) into (pow c 2) 8.485 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 8.485 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c 8.486 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 8.486 * [backup-simplify]: Simplify (+ 0 0) into 0 8.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 8.486 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 8.486 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 8.487 * [taylor]: Taking taylor expansion of (pow c 2) in c 8.487 * [taylor]: Taking taylor expansion of c in c 8.487 * [backup-simplify]: Simplify 0 into 0 8.487 * [backup-simplify]: Simplify 1 into 1 8.487 * [taylor]: Taking taylor expansion of (pow d 2) in c 8.487 * [taylor]: Taking taylor expansion of d in c 8.487 * [backup-simplify]: Simplify d into d 8.487 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.487 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 8.487 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 8.487 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 8.487 * [backup-simplify]: Simplify (+ 0 0) into 0 8.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 8.488 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 8.488 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 8.488 * [taylor]: Taking taylor expansion of (pow c 2) in c 8.488 * [taylor]: Taking taylor expansion of c in c 8.488 * [backup-simplify]: Simplify 0 into 0 8.488 * [backup-simplify]: Simplify 1 into 1 8.488 * [taylor]: Taking taylor expansion of (pow d 2) in c 8.488 * [taylor]: Taking taylor expansion of d in c 8.488 * [backup-simplify]: Simplify d into d 8.488 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.488 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 8.488 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 8.488 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 8.489 * [backup-simplify]: Simplify (+ 0 0) into 0 8.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 8.489 * [taylor]: Taking taylor expansion of d in d 8.489 * [backup-simplify]: Simplify 0 into 0 8.489 * [backup-simplify]: Simplify 1 into 1 8.489 * [backup-simplify]: Simplify 0 into 0 8.489 * [taylor]: Taking taylor expansion of 0 in d 8.489 * [backup-simplify]: Simplify 0 into 0 8.489 * [backup-simplify]: Simplify 0 into 0 8.489 * [backup-simplify]: Simplify 1 into 1 8.489 * [backup-simplify]: Simplify (* 1 1) into 1 8.490 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 8.490 * [backup-simplify]: Simplify (+ 1 0) into 1 8.491 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) 8.491 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d 8.491 * [taylor]: Taking taylor expansion of 1/2 in d 8.491 * [backup-simplify]: Simplify 1/2 into 1/2 8.491 * [taylor]: Taking taylor expansion of d in d 8.491 * [backup-simplify]: Simplify 0 into 0 8.491 * [backup-simplify]: Simplify 1 into 1 8.492 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.493 * [backup-simplify]: Simplify 0 into 0 8.493 * [backup-simplify]: Simplify 0 into 0 8.493 * [backup-simplify]: Simplify 0 into 0 8.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.494 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 8.495 * [backup-simplify]: Simplify (+ 0 0) into 0 8.495 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 8.495 * [taylor]: Taking taylor expansion of 0 in d 8.495 * [backup-simplify]: Simplify 0 into 0 8.495 * [backup-simplify]: Simplify 0 into 0 8.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.496 * [backup-simplify]: Simplify 0 into 0 8.496 * [backup-simplify]: Simplify 0 into 0 8.496 * [backup-simplify]: Simplify (* 1 (* d 1)) into d 8.496 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 8.497 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 8.497 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 8.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 8.497 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 8.497 * [taylor]: Taking taylor expansion of (pow c 2) in d 8.497 * [taylor]: Taking taylor expansion of c in d 8.497 * [backup-simplify]: Simplify c into c 8.497 * [backup-simplify]: Simplify (* c c) into (pow c 2) 8.497 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 8.497 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 8.497 * [taylor]: Taking taylor expansion of (pow d 2) in d 8.497 * [taylor]: Taking taylor expansion of d in d 8.497 * [backup-simplify]: Simplify 0 into 0 8.497 * [backup-simplify]: Simplify 1 into 1 8.497 * [backup-simplify]: Simplify (* 1 1) into 1 8.498 * [backup-simplify]: Simplify (/ 1 1) into 1 8.498 * [backup-simplify]: Simplify (+ 0 1) into 1 8.499 * [backup-simplify]: Simplify (sqrt 1) into 1 8.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.500 * [backup-simplify]: Simplify (+ 0 0) into 0 8.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.501 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 8.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 8.501 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 8.501 * [taylor]: Taking taylor expansion of (pow c 2) in c 8.501 * [taylor]: Taking taylor expansion of c in c 8.501 * [backup-simplify]: Simplify 0 into 0 8.501 * [backup-simplify]: Simplify 1 into 1 8.502 * [backup-simplify]: Simplify (* 1 1) into 1 8.502 * [backup-simplify]: Simplify (/ 1 1) into 1 8.502 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 8.502 * [taylor]: Taking taylor expansion of (pow d 2) in c 8.502 * [taylor]: Taking taylor expansion of d in c 8.502 * [backup-simplify]: Simplify d into d 8.502 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.502 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 8.503 * [backup-simplify]: Simplify (+ 1 0) into 1 8.503 * [backup-simplify]: Simplify (sqrt 1) into 1 8.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.505 * [backup-simplify]: Simplify (+ 0 0) into 0 8.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.506 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 8.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 8.506 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 8.506 * [taylor]: Taking taylor expansion of (pow c 2) in c 8.506 * [taylor]: Taking taylor expansion of c in c 8.506 * [backup-simplify]: Simplify 0 into 0 8.506 * [backup-simplify]: Simplify 1 into 1 8.506 * [backup-simplify]: Simplify (* 1 1) into 1 8.507 * [backup-simplify]: Simplify (/ 1 1) into 1 8.507 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 8.507 * [taylor]: Taking taylor expansion of (pow d 2) in c 8.507 * [taylor]: Taking taylor expansion of d in c 8.507 * [backup-simplify]: Simplify d into d 8.507 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.507 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 8.507 * [backup-simplify]: Simplify (+ 1 0) into 1 8.508 * [backup-simplify]: Simplify (sqrt 1) into 1 8.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.510 * [backup-simplify]: Simplify (+ 0 0) into 0 8.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.511 * [taylor]: Taking taylor expansion of 1 in d 8.511 * [backup-simplify]: Simplify 1 into 1 8.511 * [taylor]: Taking taylor expansion of 0 in d 8.511 * [backup-simplify]: Simplify 0 into 0 8.511 * [backup-simplify]: Simplify 1 into 1 8.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.513 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 8.514 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 8.514 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 8.514 * [taylor]: Taking taylor expansion of 1/2 in d 8.514 * [backup-simplify]: Simplify 1/2 into 1/2 8.514 * [taylor]: Taking taylor expansion of (pow d 2) in d 8.514 * [taylor]: Taking taylor expansion of d in d 8.514 * [backup-simplify]: Simplify 0 into 0 8.514 * [backup-simplify]: Simplify 1 into 1 8.515 * [backup-simplify]: Simplify (* 1 1) into 1 8.515 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.517 * [backup-simplify]: Simplify 0 into 0 8.517 * [backup-simplify]: Simplify 0 into 0 8.517 * [backup-simplify]: Simplify 0 into 0 8.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.519 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 8.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 8.520 * [backup-simplify]: Simplify (+ 0 0) into 0 8.520 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 8.520 * [taylor]: Taking taylor expansion of 0 in d 8.520 * [backup-simplify]: Simplify 0 into 0 8.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.522 * [backup-simplify]: Simplify 0 into 0 8.522 * [backup-simplify]: Simplify 0 into 0 8.522 * [backup-simplify]: Simplify 0 into 0 8.522 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c 8.523 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 8.523 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 8.523 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 8.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 8.523 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 8.523 * [taylor]: Taking taylor expansion of (pow c 2) in d 8.523 * [taylor]: Taking taylor expansion of c in d 8.523 * [backup-simplify]: Simplify c into c 8.523 * [backup-simplify]: Simplify (* c c) into (pow c 2) 8.523 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 8.523 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 8.523 * [taylor]: Taking taylor expansion of (pow d 2) in d 8.523 * [taylor]: Taking taylor expansion of d in d 8.523 * [backup-simplify]: Simplify 0 into 0 8.523 * [backup-simplify]: Simplify 1 into 1 8.524 * [backup-simplify]: Simplify (* 1 1) into 1 8.524 * [backup-simplify]: Simplify (/ 1 1) into 1 8.524 * [backup-simplify]: Simplify (+ 0 1) into 1 8.525 * [backup-simplify]: Simplify (sqrt 1) into 1 8.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.527 * [backup-simplify]: Simplify (+ 0 0) into 0 8.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.527 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 8.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 8.527 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 8.527 * [taylor]: Taking taylor expansion of (pow c 2) in c 8.527 * [taylor]: Taking taylor expansion of c in c 8.528 * [backup-simplify]: Simplify 0 into 0 8.528 * [backup-simplify]: Simplify 1 into 1 8.528 * [backup-simplify]: Simplify (* 1 1) into 1 8.528 * [backup-simplify]: Simplify (/ 1 1) into 1 8.528 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 8.528 * [taylor]: Taking taylor expansion of (pow d 2) in c 8.528 * [taylor]: Taking taylor expansion of d in c 8.528 * [backup-simplify]: Simplify d into d 8.528 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.529 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 8.529 * [backup-simplify]: Simplify (+ 1 0) into 1 8.529 * [backup-simplify]: Simplify (sqrt 1) into 1 8.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.531 * [backup-simplify]: Simplify (+ 0 0) into 0 8.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.532 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 8.532 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 8.532 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 8.532 * [taylor]: Taking taylor expansion of (pow c 2) in c 8.532 * [taylor]: Taking taylor expansion of c in c 8.532 * [backup-simplify]: Simplify 0 into 0 8.532 * [backup-simplify]: Simplify 1 into 1 8.533 * [backup-simplify]: Simplify (* 1 1) into 1 8.533 * [backup-simplify]: Simplify (/ 1 1) into 1 8.533 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 8.533 * [taylor]: Taking taylor expansion of (pow d 2) in c 8.533 * [taylor]: Taking taylor expansion of d in c 8.533 * [backup-simplify]: Simplify d into d 8.533 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.534 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 8.534 * [backup-simplify]: Simplify (+ 1 0) into 1 8.534 * [backup-simplify]: Simplify (sqrt 1) into 1 8.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.536 * [backup-simplify]: Simplify (+ 0 0) into 0 8.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.537 * [taylor]: Taking taylor expansion of 1 in d 8.537 * [backup-simplify]: Simplify 1 into 1 8.537 * [taylor]: Taking taylor expansion of 0 in d 8.537 * [backup-simplify]: Simplify 0 into 0 8.537 * [backup-simplify]: Simplify 1 into 1 8.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.539 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 8.540 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 8.540 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 8.540 * [taylor]: Taking taylor expansion of 1/2 in d 8.540 * [backup-simplify]: Simplify 1/2 into 1/2 8.540 * [taylor]: Taking taylor expansion of (pow d 2) in d 8.540 * [taylor]: Taking taylor expansion of d in d 8.540 * [backup-simplify]: Simplify 0 into 0 8.541 * [backup-simplify]: Simplify 1 into 1 8.541 * [backup-simplify]: Simplify (* 1 1) into 1 8.541 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.543 * [backup-simplify]: Simplify 0 into 0 8.543 * [backup-simplify]: Simplify 0 into 0 8.543 * [backup-simplify]: Simplify 0 into 0 8.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.545 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 8.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 8.546 * [backup-simplify]: Simplify (+ 0 0) into 0 8.546 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 8.546 * [taylor]: Taking taylor expansion of 0 in d 8.547 * [backup-simplify]: Simplify 0 into 0 8.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.549 * [backup-simplify]: Simplify 0 into 0 8.549 * [backup-simplify]: Simplify 0 into 0 8.549 * [backup-simplify]: Simplify 0 into 0 8.549 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) 8.549 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 8.549 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2))) 8.549 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0 8.549 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d 8.549 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 8.549 * [taylor]: Taking taylor expansion of (pow c 2) in d 8.549 * [taylor]: Taking taylor expansion of c in d 8.549 * [backup-simplify]: Simplify c into c 8.549 * [taylor]: Taking taylor expansion of (pow d 2) in d 8.549 * [taylor]: Taking taylor expansion of d in d 8.549 * [backup-simplify]: Simplify 0 into 0 8.549 * [backup-simplify]: Simplify 1 into 1 8.549 * [backup-simplify]: Simplify (* c c) into (pow c 2) 8.550 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 8.550 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c 8.550 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 8.550 * [backup-simplify]: Simplify (+ 0 0) into 0 8.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 8.550 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 8.550 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 8.550 * [taylor]: Taking taylor expansion of (pow c 2) in c 8.550 * [taylor]: Taking taylor expansion of c in c 8.550 * [backup-simplify]: Simplify 0 into 0 8.550 * [backup-simplify]: Simplify 1 into 1 8.550 * [taylor]: Taking taylor expansion of (pow d 2) in c 8.550 * [taylor]: Taking taylor expansion of d in c 8.550 * [backup-simplify]: Simplify d into d 8.551 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.551 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 8.551 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 8.551 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 8.551 * [backup-simplify]: Simplify (+ 0 0) into 0 8.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 8.551 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 8.551 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 8.551 * [taylor]: Taking taylor expansion of (pow c 2) in c 8.551 * [taylor]: Taking taylor expansion of c in c 8.551 * [backup-simplify]: Simplify 0 into 0 8.551 * [backup-simplify]: Simplify 1 into 1 8.552 * [taylor]: Taking taylor expansion of (pow d 2) in c 8.552 * [taylor]: Taking taylor expansion of d in c 8.552 * [backup-simplify]: Simplify d into d 8.552 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.552 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 8.552 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 8.552 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 8.552 * [backup-simplify]: Simplify (+ 0 0) into 0 8.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 8.552 * [taylor]: Taking taylor expansion of d in d 8.553 * [backup-simplify]: Simplify 0 into 0 8.553 * [backup-simplify]: Simplify 1 into 1 8.553 * [backup-simplify]: Simplify 0 into 0 8.553 * [taylor]: Taking taylor expansion of 0 in d 8.553 * [backup-simplify]: Simplify 0 into 0 8.553 * [backup-simplify]: Simplify 0 into 0 8.553 * [backup-simplify]: Simplify 1 into 1 8.553 * [backup-simplify]: Simplify (* 1 1) into 1 8.554 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 8.554 * [backup-simplify]: Simplify (+ 1 0) into 1 8.555 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) 8.555 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d 8.555 * [taylor]: Taking taylor expansion of 1/2 in d 8.555 * [backup-simplify]: Simplify 1/2 into 1/2 8.555 * [taylor]: Taking taylor expansion of d in d 8.555 * [backup-simplify]: Simplify 0 into 0 8.555 * [backup-simplify]: Simplify 1 into 1 8.555 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.556 * [backup-simplify]: Simplify 0 into 0 8.556 * [backup-simplify]: Simplify 0 into 0 8.556 * [backup-simplify]: Simplify 0 into 0 8.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.558 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 8.558 * [backup-simplify]: Simplify (+ 0 0) into 0 8.559 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 8.559 * [taylor]: Taking taylor expansion of 0 in d 8.559 * [backup-simplify]: Simplify 0 into 0 8.559 * [backup-simplify]: Simplify 0 into 0 8.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.560 * [backup-simplify]: Simplify 0 into 0 8.560 * [backup-simplify]: Simplify 0 into 0 8.560 * [backup-simplify]: Simplify (* 1 (* d 1)) into d 8.560 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 8.560 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 8.560 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 8.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 8.560 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 8.560 * [taylor]: Taking taylor expansion of (pow c 2) in d 8.560 * [taylor]: Taking taylor expansion of c in d 8.560 * [backup-simplify]: Simplify c into c 8.561 * [backup-simplify]: Simplify (* c c) into (pow c 2) 8.561 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 8.561 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 8.561 * [taylor]: Taking taylor expansion of (pow d 2) in d 8.561 * [taylor]: Taking taylor expansion of d in d 8.561 * [backup-simplify]: Simplify 0 into 0 8.561 * [backup-simplify]: Simplify 1 into 1 8.561 * [backup-simplify]: Simplify (* 1 1) into 1 8.562 * [backup-simplify]: Simplify (/ 1 1) into 1 8.562 * [backup-simplify]: Simplify (+ 0 1) into 1 8.562 * [backup-simplify]: Simplify (sqrt 1) into 1 8.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.564 * [backup-simplify]: Simplify (+ 0 0) into 0 8.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.565 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 8.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 8.565 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 8.565 * [taylor]: Taking taylor expansion of (pow c 2) in c 8.565 * [taylor]: Taking taylor expansion of c in c 8.565 * [backup-simplify]: Simplify 0 into 0 8.565 * [backup-simplify]: Simplify 1 into 1 8.566 * [backup-simplify]: Simplify (* 1 1) into 1 8.566 * [backup-simplify]: Simplify (/ 1 1) into 1 8.566 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 8.566 * [taylor]: Taking taylor expansion of (pow d 2) in c 8.566 * [taylor]: Taking taylor expansion of d in c 8.566 * [backup-simplify]: Simplify d into d 8.566 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.567 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 8.567 * [backup-simplify]: Simplify (+ 1 0) into 1 8.568 * [backup-simplify]: Simplify (sqrt 1) into 1 8.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.570 * [backup-simplify]: Simplify (+ 0 0) into 0 8.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.570 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 8.571 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 8.571 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 8.571 * [taylor]: Taking taylor expansion of (pow c 2) in c 8.571 * [taylor]: Taking taylor expansion of c in c 8.571 * [backup-simplify]: Simplify 0 into 0 8.571 * [backup-simplify]: Simplify 1 into 1 8.571 * [backup-simplify]: Simplify (* 1 1) into 1 8.571 * [backup-simplify]: Simplify (/ 1 1) into 1 8.571 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 8.571 * [taylor]: Taking taylor expansion of (pow d 2) in c 8.572 * [taylor]: Taking taylor expansion of d in c 8.572 * [backup-simplify]: Simplify d into d 8.572 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.572 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 8.572 * [backup-simplify]: Simplify (+ 1 0) into 1 8.573 * [backup-simplify]: Simplify (sqrt 1) into 1 8.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.574 * [backup-simplify]: Simplify (+ 0 0) into 0 8.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.575 * [taylor]: Taking taylor expansion of 1 in d 8.575 * [backup-simplify]: Simplify 1 into 1 8.575 * [taylor]: Taking taylor expansion of 0 in d 8.575 * [backup-simplify]: Simplify 0 into 0 8.575 * [backup-simplify]: Simplify 1 into 1 8.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.577 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 8.579 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 8.579 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 8.579 * [taylor]: Taking taylor expansion of 1/2 in d 8.579 * [backup-simplify]: Simplify 1/2 into 1/2 8.579 * [taylor]: Taking taylor expansion of (pow d 2) in d 8.579 * [taylor]: Taking taylor expansion of d in d 8.579 * [backup-simplify]: Simplify 0 into 0 8.579 * [backup-simplify]: Simplify 1 into 1 8.583 * [backup-simplify]: Simplify (* 1 1) into 1 8.584 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.585 * [backup-simplify]: Simplify 0 into 0 8.585 * [backup-simplify]: Simplify 0 into 0 8.585 * [backup-simplify]: Simplify 0 into 0 8.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.586 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 8.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 8.586 * [backup-simplify]: Simplify (+ 0 0) into 0 8.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 8.587 * [taylor]: Taking taylor expansion of 0 in d 8.587 * [backup-simplify]: Simplify 0 into 0 8.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.588 * [backup-simplify]: Simplify 0 into 0 8.588 * [backup-simplify]: Simplify 0 into 0 8.588 * [backup-simplify]: Simplify 0 into 0 8.588 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c 8.588 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 8.588 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 8.588 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 8.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 8.588 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 8.588 * [taylor]: Taking taylor expansion of (pow c 2) in d 8.588 * [taylor]: Taking taylor expansion of c in d 8.588 * [backup-simplify]: Simplify c into c 8.588 * [backup-simplify]: Simplify (* c c) into (pow c 2) 8.588 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 8.588 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 8.588 * [taylor]: Taking taylor expansion of (pow d 2) in d 8.588 * [taylor]: Taking taylor expansion of d in d 8.588 * [backup-simplify]: Simplify 0 into 0 8.588 * [backup-simplify]: Simplify 1 into 1 8.589 * [backup-simplify]: Simplify (* 1 1) into 1 8.589 * [backup-simplify]: Simplify (/ 1 1) into 1 8.589 * [backup-simplify]: Simplify (+ 0 1) into 1 8.589 * [backup-simplify]: Simplify (sqrt 1) into 1 8.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.590 * [backup-simplify]: Simplify (+ 0 0) into 0 8.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.591 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 8.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 8.591 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 8.591 * [taylor]: Taking taylor expansion of (pow c 2) in c 8.591 * [taylor]: Taking taylor expansion of c in c 8.591 * [backup-simplify]: Simplify 0 into 0 8.591 * [backup-simplify]: Simplify 1 into 1 8.591 * [backup-simplify]: Simplify (* 1 1) into 1 8.591 * [backup-simplify]: Simplify (/ 1 1) into 1 8.591 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 8.591 * [taylor]: Taking taylor expansion of (pow d 2) in c 8.591 * [taylor]: Taking taylor expansion of d in c 8.591 * [backup-simplify]: Simplify d into d 8.592 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.592 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 8.592 * [backup-simplify]: Simplify (+ 1 0) into 1 8.592 * [backup-simplify]: Simplify (sqrt 1) into 1 8.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.593 * [backup-simplify]: Simplify (+ 0 0) into 0 8.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.594 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 8.594 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 8.594 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 8.594 * [taylor]: Taking taylor expansion of (pow c 2) in c 8.594 * [taylor]: Taking taylor expansion of c in c 8.594 * [backup-simplify]: Simplify 0 into 0 8.594 * [backup-simplify]: Simplify 1 into 1 8.594 * [backup-simplify]: Simplify (* 1 1) into 1 8.594 * [backup-simplify]: Simplify (/ 1 1) into 1 8.594 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 8.594 * [taylor]: Taking taylor expansion of (pow d 2) in c 8.594 * [taylor]: Taking taylor expansion of d in c 8.594 * [backup-simplify]: Simplify d into d 8.594 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.594 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 8.595 * [backup-simplify]: Simplify (+ 1 0) into 1 8.595 * [backup-simplify]: Simplify (sqrt 1) into 1 8.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.596 * [backup-simplify]: Simplify (+ 0 0) into 0 8.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.596 * [taylor]: Taking taylor expansion of 1 in d 8.596 * [backup-simplify]: Simplify 1 into 1 8.596 * [taylor]: Taking taylor expansion of 0 in d 8.596 * [backup-simplify]: Simplify 0 into 0 8.596 * [backup-simplify]: Simplify 1 into 1 8.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.598 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 8.598 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 8.598 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 8.598 * [taylor]: Taking taylor expansion of 1/2 in d 8.599 * [backup-simplify]: Simplify 1/2 into 1/2 8.599 * [taylor]: Taking taylor expansion of (pow d 2) in d 8.599 * [taylor]: Taking taylor expansion of d in d 8.599 * [backup-simplify]: Simplify 0 into 0 8.599 * [backup-simplify]: Simplify 1 into 1 8.599 * [backup-simplify]: Simplify (* 1 1) into 1 8.599 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.600 * [backup-simplify]: Simplify 0 into 0 8.600 * [backup-simplify]: Simplify 0 into 0 8.600 * [backup-simplify]: Simplify 0 into 0 8.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.602 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 8.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 8.602 * [backup-simplify]: Simplify (+ 0 0) into 0 8.603 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 8.603 * [taylor]: Taking taylor expansion of 0 in d 8.603 * [backup-simplify]: Simplify 0 into 0 8.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.605 * [backup-simplify]: Simplify 0 into 0 8.605 * [backup-simplify]: Simplify 0 into 0 8.605 * [backup-simplify]: Simplify 0 into 0 8.605 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) 8.605 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 8.605 * [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))))) 8.605 * [approximate]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in (a c b d) around 0 8.606 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in d 8.606 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d 8.606 * [taylor]: Taking taylor expansion of (* a c) in d 8.606 * [taylor]: Taking taylor expansion of a in d 8.606 * [backup-simplify]: Simplify a into a 8.606 * [taylor]: Taking taylor expansion of c in d 8.606 * [backup-simplify]: Simplify c into c 8.606 * [taylor]: Taking taylor expansion of (* b d) in d 8.606 * [taylor]: Taking taylor expansion of b in d 8.606 * [backup-simplify]: Simplify b into b 8.606 * [taylor]: Taking taylor expansion of d in d 8.606 * [backup-simplify]: Simplify 0 into 0 8.606 * [backup-simplify]: Simplify 1 into 1 8.606 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in d 8.606 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in d 8.606 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 8.606 * [taylor]: Taking taylor expansion of (pow c 2) in d 8.606 * [taylor]: Taking taylor expansion of c in d 8.606 * [backup-simplify]: Simplify c into c 8.606 * [taylor]: Taking taylor expansion of (pow d 2) in d 8.606 * [taylor]: Taking taylor expansion of d in d 8.606 * [backup-simplify]: Simplify 0 into 0 8.606 * [backup-simplify]: Simplify 1 into 1 8.606 * [backup-simplify]: Simplify (* c c) into (pow c 2) 8.606 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 8.606 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 8.606 * [backup-simplify]: Simplify (sqrt (/ 1 (pow c 2))) into (/ 1 c) 8.607 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 8.607 * [backup-simplify]: Simplify (+ 0 0) into 0 8.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 8.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow c 2))))) into 0 8.607 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in b 8.607 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b 8.607 * [taylor]: Taking taylor expansion of (* a c) in b 8.607 * [taylor]: Taking taylor expansion of a in b 8.607 * [backup-simplify]: Simplify a into a 8.607 * [taylor]: Taking taylor expansion of c in b 8.607 * [backup-simplify]: Simplify c into c 8.607 * [taylor]: Taking taylor expansion of (* b d) in b 8.607 * [taylor]: Taking taylor expansion of b in b 8.608 * [backup-simplify]: Simplify 0 into 0 8.608 * [backup-simplify]: Simplify 1 into 1 8.608 * [taylor]: Taking taylor expansion of d in b 8.608 * [backup-simplify]: Simplify d into d 8.608 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in b 8.608 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in b 8.608 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b 8.608 * [taylor]: Taking taylor expansion of (pow c 2) in b 8.608 * [taylor]: Taking taylor expansion of c in b 8.608 * [backup-simplify]: Simplify c into c 8.608 * [taylor]: Taking taylor expansion of (pow d 2) in b 8.608 * [taylor]: Taking taylor expansion of d in b 8.608 * [backup-simplify]: Simplify d into d 8.608 * [backup-simplify]: Simplify (* c c) into (pow c 2) 8.608 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.608 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 8.608 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2))) 8.608 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) 8.608 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 8.609 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 8.609 * [backup-simplify]: Simplify (+ 0 0) into 0 8.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 8.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0 8.609 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c 8.610 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c 8.610 * [taylor]: Taking taylor expansion of (* a c) in c 8.610 * [taylor]: Taking taylor expansion of a in c 8.610 * [backup-simplify]: Simplify a into a 8.610 * [taylor]: Taking taylor expansion of c in c 8.610 * [backup-simplify]: Simplify 0 into 0 8.610 * [backup-simplify]: Simplify 1 into 1 8.610 * [taylor]: Taking taylor expansion of (* b d) in c 8.610 * [taylor]: Taking taylor expansion of b in c 8.610 * [backup-simplify]: Simplify b into b 8.610 * [taylor]: Taking taylor expansion of d in c 8.610 * [backup-simplify]: Simplify d into d 8.610 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c 8.610 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c 8.610 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 8.610 * [taylor]: Taking taylor expansion of (pow c 2) in c 8.610 * [taylor]: Taking taylor expansion of c in c 8.610 * [backup-simplify]: Simplify 0 into 0 8.610 * [backup-simplify]: Simplify 1 into 1 8.610 * [taylor]: Taking taylor expansion of (pow d 2) in c 8.610 * [taylor]: Taking taylor expansion of d in c 8.610 * [backup-simplify]: Simplify d into d 8.610 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.610 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 8.610 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 8.610 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d) 8.610 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 8.611 * [backup-simplify]: Simplify (+ 0 0) into 0 8.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 8.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0 8.611 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a 8.611 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 8.611 * [taylor]: Taking taylor expansion of (* a c) in a 8.611 * [taylor]: Taking taylor expansion of a in a 8.611 * [backup-simplify]: Simplify 0 into 0 8.611 * [backup-simplify]: Simplify 1 into 1 8.611 * [taylor]: Taking taylor expansion of c in a 8.611 * [backup-simplify]: Simplify c into c 8.611 * [taylor]: Taking taylor expansion of (* b d) in a 8.612 * [taylor]: Taking taylor expansion of b in a 8.612 * [backup-simplify]: Simplify b into b 8.612 * [taylor]: Taking taylor expansion of d in a 8.612 * [backup-simplify]: Simplify d into d 8.612 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a 8.612 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a 8.612 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a 8.612 * [taylor]: Taking taylor expansion of (pow c 2) in a 8.612 * [taylor]: Taking taylor expansion of c in a 8.612 * [backup-simplify]: Simplify c into c 8.612 * [taylor]: Taking taylor expansion of (pow d 2) in a 8.612 * [taylor]: Taking taylor expansion of d in a 8.612 * [backup-simplify]: Simplify d into d 8.612 * [backup-simplify]: Simplify (* c c) into (pow c 2) 8.612 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.612 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 8.612 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2))) 8.612 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) 8.613 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 8.613 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 8.613 * [backup-simplify]: Simplify (+ 0 0) into 0 8.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 8.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0 8.614 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a 8.614 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 8.614 * [taylor]: Taking taylor expansion of (* a c) in a 8.614 * [taylor]: Taking taylor expansion of a in a 8.614 * [backup-simplify]: Simplify 0 into 0 8.614 * [backup-simplify]: Simplify 1 into 1 8.614 * [taylor]: Taking taylor expansion of c in a 8.614 * [backup-simplify]: Simplify c into c 8.614 * [taylor]: Taking taylor expansion of (* b d) in a 8.614 * [taylor]: Taking taylor expansion of b in a 8.614 * [backup-simplify]: Simplify b into b 8.614 * [taylor]: Taking taylor expansion of d in a 8.614 * [backup-simplify]: Simplify d into d 8.614 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a 8.614 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a 8.614 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a 8.614 * [taylor]: Taking taylor expansion of (pow c 2) in a 8.614 * [taylor]: Taking taylor expansion of c in a 8.614 * [backup-simplify]: Simplify c into c 8.614 * [taylor]: Taking taylor expansion of (pow d 2) in a 8.614 * [taylor]: Taking taylor expansion of d in a 8.614 * [backup-simplify]: Simplify d into d 8.614 * [backup-simplify]: Simplify (* c c) into (pow c 2) 8.615 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.615 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 8.615 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2))) 8.615 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) 8.615 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 8.615 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 8.616 * [backup-simplify]: Simplify (+ 0 0) into 0 8.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 8.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0 8.616 * [backup-simplify]: Simplify (* 0 c) into 0 8.616 * [backup-simplify]: Simplify (* b d) into (* b d) 8.617 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 8.617 * [backup-simplify]: Simplify (* (* b d) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) into (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) 8.617 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) in c 8.617 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c 8.617 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c 8.617 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 8.617 * [taylor]: Taking taylor expansion of (pow c 2) in c 8.617 * [taylor]: Taking taylor expansion of c in c 8.617 * [backup-simplify]: Simplify 0 into 0 8.617 * [backup-simplify]: Simplify 1 into 1 8.617 * [taylor]: Taking taylor expansion of (pow d 2) in c 8.617 * [taylor]: Taking taylor expansion of d in c 8.617 * [backup-simplify]: Simplify d into d 8.617 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.617 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 8.617 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 8.617 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d) 8.618 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 8.618 * [backup-simplify]: Simplify (+ 0 0) into 0 8.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 8.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0 8.618 * [taylor]: Taking taylor expansion of (* b d) in c 8.618 * [taylor]: Taking taylor expansion of b in c 8.619 * [backup-simplify]: Simplify b into b 8.619 * [taylor]: Taking taylor expansion of d in c 8.619 * [backup-simplify]: Simplify d into d 8.619 * [backup-simplify]: Simplify (* b d) into (* b d) 8.619 * [backup-simplify]: Simplify (* (/ 1 d) (* b d)) into b 8.619 * [taylor]: Taking taylor expansion of b in b 8.619 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify 1 into 1 8.619 * [taylor]: Taking taylor expansion of 0 in d 8.619 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 8.619 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 8.620 * [backup-simplify]: Simplify (+ c 0) into c 8.620 * [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))))) 8.620 * [taylor]: Taking taylor expansion of (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c 8.620 * [taylor]: Taking taylor expansion of c in c 8.620 * [backup-simplify]: Simplify 0 into 0 8.620 * [backup-simplify]: Simplify 1 into 1 8.620 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c 8.620 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c 8.620 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 8.620 * [taylor]: Taking taylor expansion of (pow c 2) in c 8.620 * [taylor]: Taking taylor expansion of c in c 8.620 * [backup-simplify]: Simplify 0 into 0 8.620 * [backup-simplify]: Simplify 1 into 1 8.620 * [taylor]: Taking taylor expansion of (pow d 2) in c 8.620 * [taylor]: Taking taylor expansion of d in c 8.620 * [backup-simplify]: Simplify d into d 8.620 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.620 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 8.620 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 8.621 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d) 8.621 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 8.621 * [backup-simplify]: Simplify (+ 0 0) into 0 8.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 8.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0 8.621 * [backup-simplify]: Simplify (* 0 (/ 1 d)) into 0 8.621 * [taylor]: Taking taylor expansion of 0 in b 8.622 * [backup-simplify]: Simplify 0 into 0 8.622 * [taylor]: Taking taylor expansion of 0 in d 8.622 * [backup-simplify]: Simplify 0 into 0 8.622 * [backup-simplify]: Simplify 0 into 0 8.622 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 8.622 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (* 0 (* b d))) into 0 8.622 * [taylor]: Taking taylor expansion of 0 in b 8.622 * [backup-simplify]: Simplify 0 into 0 8.622 * [taylor]: Taking taylor expansion of 0 in d 8.622 * [backup-simplify]: Simplify 0 into 0 8.622 * [backup-simplify]: Simplify 0 into 0 8.622 * [taylor]: Taking taylor expansion of 1 in d 8.622 * [backup-simplify]: Simplify 1 into 1 8.622 * [backup-simplify]: Simplify 1 into 1 8.622 * [backup-simplify]: Simplify 0 into 0 8.623 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 8.623 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 8.624 * [backup-simplify]: Simplify (+ 0 0) into 0 8.624 * [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 8.625 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0 8.626 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 8.626 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 8.627 * [backup-simplify]: Simplify (+ 0 0) into 0 8.627 * [backup-simplify]: Simplify (+ (* (* b d) 0) (+ (* c 0) (* 0 (sqrt (/ 1 (+ (pow c 2) (pow d 2))))))) into 0 8.627 * [taylor]: Taking taylor expansion of 0 in c 8.627 * [backup-simplify]: Simplify 0 into 0 8.627 * [taylor]: Taking taylor expansion of 0 in b 8.627 * [backup-simplify]: Simplify 0 into 0 8.627 * [taylor]: Taking taylor expansion of 0 in d 8.627 * [backup-simplify]: Simplify 0 into 0 8.627 * [backup-simplify]: Simplify 0 into 0 8.628 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1 d))) into (/ 1 d) 8.628 * [taylor]: Taking taylor expansion of (/ 1 d) in b 8.628 * [taylor]: Taking taylor expansion of d in b 8.628 * [backup-simplify]: Simplify d into d 8.628 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 8.628 * [taylor]: Taking taylor expansion of (/ 1 d) in d 8.628 * [taylor]: Taking taylor expansion of d in d 8.628 * [backup-simplify]: Simplify 0 into 0 8.628 * [backup-simplify]: Simplify 1 into 1 8.628 * [backup-simplify]: Simplify (/ 1 1) into 1 8.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.629 * [backup-simplify]: Simplify 0 into 0 8.630 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 8.630 * [backup-simplify]: Simplify (* 1 1) into 1 8.630 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 8.631 * [backup-simplify]: Simplify (+ 1 0) into 1 8.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ 1 (pow d 4))) 8.632 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 4))) (pow 0 2) (+)) (* 2 (/ 1 d))) into (/ -1/2 (pow d 3)) 8.633 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* (/ -1/2 (pow d 3)) (* b d)))) into (- (* 1/2 (/ b (pow d 2)))) 8.633 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ b (pow d 2)))) in b 8.633 * [taylor]: Taking taylor expansion of (* 1/2 (/ b (pow d 2))) in b 8.633 * [taylor]: Taking taylor expansion of 1/2 in b 8.633 * [backup-simplify]: Simplify 1/2 into 1/2 8.633 * [taylor]: Taking taylor expansion of (/ b (pow d 2)) in b 8.633 * [taylor]: Taking taylor expansion of b in b 8.633 * [backup-simplify]: Simplify 0 into 0 8.633 * [backup-simplify]: Simplify 1 into 1 8.633 * [taylor]: Taking taylor expansion of (pow d 2) in b 8.633 * [taylor]: Taking taylor expansion of d in b 8.633 * [backup-simplify]: Simplify d into d 8.633 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.633 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 8.633 * [taylor]: Taking taylor expansion of 0 in d 8.633 * [backup-simplify]: Simplify 0 into 0 8.633 * [backup-simplify]: Simplify 0 into 0 8.634 * [taylor]: Taking taylor expansion of 0 in d 8.634 * [backup-simplify]: Simplify 0 into 0 8.634 * [backup-simplify]: Simplify 0 into 0 8.634 * [taylor]: Taking taylor expansion of 0 in d 8.634 * [backup-simplify]: Simplify 0 into 0 8.634 * [backup-simplify]: Simplify 0 into 0 8.634 * [backup-simplify]: Simplify (* 1 (* 1 (* b (* 1 1)))) into b 8.635 * [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)))))) 8.635 * [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 8.635 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d 8.635 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 8.635 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 8.635 * [taylor]: Taking taylor expansion of (* b d) in d 8.635 * [taylor]: Taking taylor expansion of b in d 8.635 * [backup-simplify]: Simplify b into b 8.635 * [taylor]: Taking taylor expansion of d in d 8.635 * [backup-simplify]: Simplify 0 into 0 8.635 * [backup-simplify]: Simplify 1 into 1 8.635 * [backup-simplify]: Simplify (* b 0) into 0 8.636 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 8.636 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.636 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 8.636 * [taylor]: Taking taylor expansion of (* a c) in d 8.636 * [taylor]: Taking taylor expansion of a in d 8.636 * [backup-simplify]: Simplify a into a 8.636 * [taylor]: Taking taylor expansion of c in d 8.636 * [backup-simplify]: Simplify c into c 8.636 * [backup-simplify]: Simplify (* a c) into (* a c) 8.636 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 8.636 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d 8.636 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 8.636 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 8.636 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 8.636 * [taylor]: Taking taylor expansion of (pow c 2) in d 8.636 * [taylor]: Taking taylor expansion of c in d 8.636 * [backup-simplify]: Simplify c into c 8.636 * [backup-simplify]: Simplify (* c c) into (pow c 2) 8.636 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 8.636 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 8.636 * [taylor]: Taking taylor expansion of (pow d 2) in d 8.636 * [taylor]: Taking taylor expansion of d in d 8.636 * [backup-simplify]: Simplify 0 into 0 8.636 * [backup-simplify]: Simplify 1 into 1 8.637 * [backup-simplify]: Simplify (* 1 1) into 1 8.637 * [backup-simplify]: Simplify (/ 1 1) into 1 8.638 * [backup-simplify]: Simplify (+ 0 1) into 1 8.638 * [backup-simplify]: Simplify (/ 1 1) into 1 8.638 * [backup-simplify]: Simplify (sqrt 1) into 1 8.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.640 * [backup-simplify]: Simplify (+ 0 0) into 0 8.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.642 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b 8.642 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 8.642 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 8.642 * [taylor]: Taking taylor expansion of (* b d) in b 8.642 * [taylor]: Taking taylor expansion of b in b 8.642 * [backup-simplify]: Simplify 0 into 0 8.642 * [backup-simplify]: Simplify 1 into 1 8.642 * [taylor]: Taking taylor expansion of d in b 8.642 * [backup-simplify]: Simplify d into d 8.642 * [backup-simplify]: Simplify (* 0 d) into 0 8.643 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 8.643 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 8.643 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 8.643 * [taylor]: Taking taylor expansion of (* a c) in b 8.643 * [taylor]: Taking taylor expansion of a in b 8.643 * [backup-simplify]: Simplify a into a 8.643 * [taylor]: Taking taylor expansion of c in b 8.643 * [backup-simplify]: Simplify c into c 8.643 * [backup-simplify]: Simplify (* a c) into (* a c) 8.643 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 8.643 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b 8.643 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 8.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 8.643 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 8.643 * [taylor]: Taking taylor expansion of (pow c 2) in b 8.643 * [taylor]: Taking taylor expansion of c in b 8.643 * [backup-simplify]: Simplify c into c 8.643 * [backup-simplify]: Simplify (* c c) into (pow c 2) 8.643 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 8.643 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 8.644 * [taylor]: Taking taylor expansion of (pow d 2) in b 8.644 * [taylor]: Taking taylor expansion of d in b 8.644 * [backup-simplify]: Simplify d into d 8.644 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.644 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 8.644 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 8.644 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 8.644 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 8.644 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 8.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 8.645 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 8.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 8.645 * [backup-simplify]: Simplify (+ 0 0) into 0 8.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 8.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 8.646 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c 8.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 8.646 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 8.646 * [taylor]: Taking taylor expansion of (* b d) in c 8.646 * [taylor]: Taking taylor expansion of b in c 8.646 * [backup-simplify]: Simplify b into b 8.646 * [taylor]: Taking taylor expansion of d in c 8.646 * [backup-simplify]: Simplify d into d 8.646 * [backup-simplify]: Simplify (* b d) into (* b d) 8.647 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 8.647 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 8.647 * [taylor]: Taking taylor expansion of (* a c) in c 8.647 * [taylor]: Taking taylor expansion of a in c 8.647 * [backup-simplify]: Simplify a into a 8.647 * [taylor]: Taking taylor expansion of c in c 8.647 * [backup-simplify]: Simplify 0 into 0 8.647 * [backup-simplify]: Simplify 1 into 1 8.647 * [backup-simplify]: Simplify (* a 0) into 0 8.647 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 8.647 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.647 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 8.647 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 8.648 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 8.648 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 8.648 * [taylor]: Taking taylor expansion of (pow c 2) in c 8.648 * [taylor]: Taking taylor expansion of c in c 8.648 * [backup-simplify]: Simplify 0 into 0 8.648 * [backup-simplify]: Simplify 1 into 1 8.648 * [backup-simplify]: Simplify (* 1 1) into 1 8.648 * [backup-simplify]: Simplify (/ 1 1) into 1 8.648 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 8.648 * [taylor]: Taking taylor expansion of (pow d 2) in c 8.648 * [taylor]: Taking taylor expansion of d in c 8.648 * [backup-simplify]: Simplify d into d 8.649 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.649 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 8.649 * [backup-simplify]: Simplify (+ 1 0) into 1 8.649 * [backup-simplify]: Simplify (/ 1 1) into 1 8.650 * [backup-simplify]: Simplify (sqrt 1) into 1 8.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.652 * [backup-simplify]: Simplify (+ 0 0) into 0 8.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.653 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a 8.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 8.653 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 8.653 * [taylor]: Taking taylor expansion of (* b d) in a 8.653 * [taylor]: Taking taylor expansion of b in a 8.653 * [backup-simplify]: Simplify b into b 8.653 * [taylor]: Taking taylor expansion of d in a 8.653 * [backup-simplify]: Simplify d into d 8.653 * [backup-simplify]: Simplify (* b d) into (* b d) 8.653 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 8.653 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 8.653 * [taylor]: Taking taylor expansion of (* a c) in a 8.654 * [taylor]: Taking taylor expansion of a in a 8.654 * [backup-simplify]: Simplify 0 into 0 8.654 * [backup-simplify]: Simplify 1 into 1 8.654 * [taylor]: Taking taylor expansion of c in a 8.654 * [backup-simplify]: Simplify c into c 8.654 * [backup-simplify]: Simplify (* 0 c) into 0 8.654 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 8.654 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 8.654 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a 8.654 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 8.654 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 8.654 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 8.654 * [taylor]: Taking taylor expansion of (pow c 2) in a 8.654 * [taylor]: Taking taylor expansion of c in a 8.654 * [backup-simplify]: Simplify c into c 8.654 * [backup-simplify]: Simplify (* c c) into (pow c 2) 8.655 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 8.655 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 8.655 * [taylor]: Taking taylor expansion of (pow d 2) in a 8.655 * [taylor]: Taking taylor expansion of d in a 8.655 * [backup-simplify]: Simplify d into d 8.655 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.655 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 8.655 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 8.655 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 8.655 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 8.655 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 8.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 8.656 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 8.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 8.656 * [backup-simplify]: Simplify (+ 0 0) into 0 8.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 8.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 8.657 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a 8.657 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 8.657 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 8.657 * [taylor]: Taking taylor expansion of (* b d) in a 8.657 * [taylor]: Taking taylor expansion of b in a 8.657 * [backup-simplify]: Simplify b into b 8.657 * [taylor]: Taking taylor expansion of d in a 8.658 * [backup-simplify]: Simplify d into d 8.658 * [backup-simplify]: Simplify (* b d) into (* b d) 8.658 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 8.658 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 8.658 * [taylor]: Taking taylor expansion of (* a c) in a 8.658 * [taylor]: Taking taylor expansion of a in a 8.658 * [backup-simplify]: Simplify 0 into 0 8.658 * [backup-simplify]: Simplify 1 into 1 8.658 * [taylor]: Taking taylor expansion of c in a 8.658 * [backup-simplify]: Simplify c into c 8.658 * [backup-simplify]: Simplify (* 0 c) into 0 8.658 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 8.658 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 8.658 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a 8.659 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 8.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 8.659 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 8.659 * [taylor]: Taking taylor expansion of (pow c 2) in a 8.659 * [taylor]: Taking taylor expansion of c in a 8.659 * [backup-simplify]: Simplify c into c 8.659 * [backup-simplify]: Simplify (* c c) into (pow c 2) 8.659 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 8.659 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 8.659 * [taylor]: Taking taylor expansion of (pow d 2) in a 8.659 * [taylor]: Taking taylor expansion of d in a 8.659 * [backup-simplify]: Simplify d into d 8.659 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.659 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 8.659 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 8.659 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 8.660 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 8.660 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 8.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 8.660 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 8.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 8.661 * [backup-simplify]: Simplify (+ 0 0) into 0 8.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 8.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 8.662 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 8.662 * [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)) 8.662 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c 8.662 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 8.662 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 8.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 8.662 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 8.662 * [taylor]: Taking taylor expansion of (pow c 2) in c 8.662 * [taylor]: Taking taylor expansion of c in c 8.662 * [backup-simplify]: Simplify 0 into 0 8.662 * [backup-simplify]: Simplify 1 into 1 8.663 * [backup-simplify]: Simplify (* 1 1) into 1 8.663 * [backup-simplify]: Simplify (/ 1 1) into 1 8.663 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 8.663 * [taylor]: Taking taylor expansion of (pow d 2) in c 8.663 * [taylor]: Taking taylor expansion of d in c 8.663 * [backup-simplify]: Simplify d into d 8.664 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.664 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 8.664 * [backup-simplify]: Simplify (+ 1 0) into 1 8.664 * [backup-simplify]: Simplify (/ 1 1) into 1 8.665 * [backup-simplify]: Simplify (sqrt 1) into 1 8.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.667 * [backup-simplify]: Simplify (+ 0 0) into 0 8.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.668 * [taylor]: Taking taylor expansion of (/ 1 c) in c 8.668 * [taylor]: Taking taylor expansion of c in c 8.668 * [backup-simplify]: Simplify 0 into 0 8.669 * [backup-simplify]: Simplify 1 into 1 8.669 * [backup-simplify]: Simplify (/ 1 1) into 1 8.669 * [backup-simplify]: Simplify (* 1 1) into 1 8.669 * [taylor]: Taking taylor expansion of 1 in b 8.669 * [backup-simplify]: Simplify 1 into 1 8.670 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 8.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 8.671 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 8.671 * [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)))))) 8.671 * [taylor]: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c 8.671 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 8.671 * [taylor]: Taking taylor expansion of (* b d) in c 8.671 * [taylor]: Taking taylor expansion of b in c 8.671 * [backup-simplify]: Simplify b into b 8.671 * [taylor]: Taking taylor expansion of d in c 8.671 * [backup-simplify]: Simplify d into d 8.671 * [backup-simplify]: Simplify (* b d) into (* b d) 8.671 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 8.671 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 8.671 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 8.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 8.671 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 8.672 * [taylor]: Taking taylor expansion of (pow c 2) in c 8.672 * [taylor]: Taking taylor expansion of c in c 8.672 * [backup-simplify]: Simplify 0 into 0 8.672 * [backup-simplify]: Simplify 1 into 1 8.672 * [backup-simplify]: Simplify (* 1 1) into 1 8.672 * [backup-simplify]: Simplify (/ 1 1) into 1 8.672 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 8.672 * [taylor]: Taking taylor expansion of (pow d 2) in c 8.672 * [taylor]: Taking taylor expansion of d in c 8.673 * [backup-simplify]: Simplify d into d 8.673 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.673 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 8.673 * [backup-simplify]: Simplify (+ 1 0) into 1 8.674 * [backup-simplify]: Simplify (/ 1 1) into 1 8.674 * [backup-simplify]: Simplify (sqrt 1) into 1 8.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.676 * [backup-simplify]: Simplify (+ 0 0) into 0 8.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.679 * [taylor]: Taking taylor expansion of 0 in b 8.679 * [backup-simplify]: Simplify 0 into 0 8.679 * [taylor]: Taking taylor expansion of 1 in d 8.679 * [backup-simplify]: Simplify 1 into 1 8.679 * [backup-simplify]: Simplify 1 into 1 8.679 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 8.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 8.680 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 8.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 8.681 * [backup-simplify]: Simplify (+ 0 0) into 0 8.681 * [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 8.682 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 8.682 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 8.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 8.684 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 8.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 8.684 * [backup-simplify]: Simplify (+ 0 0) into 0 8.685 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 8.685 * [taylor]: Taking taylor expansion of 0 in c 8.685 * [backup-simplify]: Simplify 0 into 0 8.685 * [taylor]: Taking taylor expansion of 0 in b 8.685 * [backup-simplify]: Simplify 0 into 0 8.685 * [backup-simplify]: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d)) 8.685 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 8.685 * [taylor]: Taking taylor expansion of (* b d) in b 8.685 * [taylor]: Taking taylor expansion of b in b 8.685 * [backup-simplify]: Simplify 0 into 0 8.685 * [backup-simplify]: Simplify 1 into 1 8.685 * [taylor]: Taking taylor expansion of d in b 8.685 * [backup-simplify]: Simplify d into d 8.685 * [backup-simplify]: Simplify (* 0 d) into 0 8.686 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 8.686 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 8.686 * [taylor]: Taking taylor expansion of (/ 1 d) in d 8.686 * [taylor]: Taking taylor expansion of d in d 8.686 * [backup-simplify]: Simplify 0 into 0 8.686 * [backup-simplify]: Simplify 1 into 1 8.686 * [backup-simplify]: Simplify (/ 1 1) into 1 8.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.687 * [backup-simplify]: Simplify 0 into 0 8.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.690 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 8.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) 8.692 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2)) 8.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2)))) 8.693 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b 8.693 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b 8.693 * [taylor]: Taking taylor expansion of 1/2 in b 8.693 * [backup-simplify]: Simplify 1/2 into 1/2 8.693 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 8.693 * [taylor]: Taking taylor expansion of (pow d 2) in b 8.693 * [taylor]: Taking taylor expansion of d in b 8.693 * [backup-simplify]: Simplify d into d 8.693 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.693 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 8.693 * [taylor]: Taking taylor expansion of 0 in d 8.693 * [backup-simplify]: Simplify 0 into 0 8.693 * [backup-simplify]: Simplify 0 into 0 8.693 * [taylor]: Taking taylor expansion of 0 in d 8.693 * [backup-simplify]: Simplify 0 into 0 8.693 * [backup-simplify]: Simplify 0 into 0 8.694 * [backup-simplify]: Simplify 0 into 0 8.694 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 8.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 8.695 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 8.696 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 8.696 * [backup-simplify]: Simplify (+ 0 0) into 0 8.697 * [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 8.698 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 8.698 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 8.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 8.700 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 8.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 8.701 * [backup-simplify]: Simplify (+ 0 0) into 0 8.701 * [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 8.701 * [taylor]: Taking taylor expansion of 0 in c 8.701 * [backup-simplify]: Simplify 0 into 0 8.702 * [taylor]: Taking taylor expansion of 0 in b 8.702 * [backup-simplify]: Simplify 0 into 0 8.702 * [taylor]: Taking taylor expansion of 0 in b 8.702 * [backup-simplify]: Simplify 0 into 0 8.702 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 8.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 8.702 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0 8.702 * [taylor]: Taking taylor expansion of 0 in b 8.702 * [backup-simplify]: Simplify 0 into 0 8.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.706 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 8.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 8.707 * [backup-simplify]: Simplify (+ 0 0) into 0 8.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 8.708 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0 8.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0 8.710 * [taylor]: Taking taylor expansion of 0 in b 8.710 * [backup-simplify]: Simplify 0 into 0 8.710 * [taylor]: Taking taylor expansion of 0 in d 8.710 * [backup-simplify]: Simplify 0 into 0 8.710 * [backup-simplify]: Simplify 0 into 0 8.711 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 8.711 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 8.711 * [taylor]: Taking taylor expansion of 0 in d 8.711 * [backup-simplify]: Simplify 0 into 0 8.711 * [backup-simplify]: Simplify 0 into 0 8.711 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 a)))))) into a 8.712 * [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)))))) 8.712 * [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 8.712 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d 8.712 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 8.712 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 8.712 * [taylor]: Taking taylor expansion of (* b d) in d 8.712 * [taylor]: Taking taylor expansion of b in d 8.712 * [backup-simplify]: Simplify b into b 8.712 * [taylor]: Taking taylor expansion of d in d 8.712 * [backup-simplify]: Simplify 0 into 0 8.712 * [backup-simplify]: Simplify 1 into 1 8.712 * [backup-simplify]: Simplify (* b 0) into 0 8.713 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 8.713 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.713 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 8.713 * [taylor]: Taking taylor expansion of (* a c) in d 8.713 * [taylor]: Taking taylor expansion of a in d 8.713 * [backup-simplify]: Simplify a into a 8.713 * [taylor]: Taking taylor expansion of c in d 8.713 * [backup-simplify]: Simplify c into c 8.713 * [backup-simplify]: Simplify (* a c) into (* a c) 8.713 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 8.713 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d 8.713 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 8.713 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 8.713 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 8.713 * [taylor]: Taking taylor expansion of (pow c 2) in d 8.713 * [taylor]: Taking taylor expansion of c in d 8.713 * [backup-simplify]: Simplify c into c 8.713 * [backup-simplify]: Simplify (* c c) into (pow c 2) 8.713 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 8.713 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 8.713 * [taylor]: Taking taylor expansion of (pow d 2) in d 8.713 * [taylor]: Taking taylor expansion of d in d 8.713 * [backup-simplify]: Simplify 0 into 0 8.714 * [backup-simplify]: Simplify 1 into 1 8.714 * [backup-simplify]: Simplify (* 1 1) into 1 8.714 * [backup-simplify]: Simplify (/ 1 1) into 1 8.715 * [backup-simplify]: Simplify (+ 0 1) into 1 8.715 * [backup-simplify]: Simplify (/ 1 1) into 1 8.716 * [backup-simplify]: Simplify (sqrt 1) into 1 8.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.717 * [backup-simplify]: Simplify (+ 0 0) into 0 8.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.719 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b 8.719 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 8.719 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 8.719 * [taylor]: Taking taylor expansion of (* b d) in b 8.719 * [taylor]: Taking taylor expansion of b in b 8.719 * [backup-simplify]: Simplify 0 into 0 8.719 * [backup-simplify]: Simplify 1 into 1 8.719 * [taylor]: Taking taylor expansion of d in b 8.719 * [backup-simplify]: Simplify d into d 8.719 * [backup-simplify]: Simplify (* 0 d) into 0 8.720 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 8.720 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 8.720 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 8.720 * [taylor]: Taking taylor expansion of (* a c) in b 8.720 * [taylor]: Taking taylor expansion of a in b 8.720 * [backup-simplify]: Simplify a into a 8.720 * [taylor]: Taking taylor expansion of c in b 8.720 * [backup-simplify]: Simplify c into c 8.720 * [backup-simplify]: Simplify (* a c) into (* a c) 8.720 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 8.720 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b 8.720 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 8.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 8.720 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 8.720 * [taylor]: Taking taylor expansion of (pow c 2) in b 8.720 * [taylor]: Taking taylor expansion of c in b 8.720 * [backup-simplify]: Simplify c into c 8.720 * [backup-simplify]: Simplify (* c c) into (pow c 2) 8.720 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 8.720 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 8.720 * [taylor]: Taking taylor expansion of (pow d 2) in b 8.720 * [taylor]: Taking taylor expansion of d in b 8.720 * [backup-simplify]: Simplify d into d 8.721 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.721 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 8.721 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 8.721 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 8.721 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 8.721 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 8.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 8.722 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 8.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 8.722 * [backup-simplify]: Simplify (+ 0 0) into 0 8.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 8.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 8.723 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c 8.723 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 8.723 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 8.723 * [taylor]: Taking taylor expansion of (* b d) in c 8.723 * [taylor]: Taking taylor expansion of b in c 8.723 * [backup-simplify]: Simplify b into b 8.723 * [taylor]: Taking taylor expansion of d in c 8.723 * [backup-simplify]: Simplify d into d 8.723 * [backup-simplify]: Simplify (* b d) into (* b d) 8.723 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 8.723 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 8.723 * [taylor]: Taking taylor expansion of (* a c) in c 8.723 * [taylor]: Taking taylor expansion of a in c 8.723 * [backup-simplify]: Simplify a into a 8.723 * [taylor]: Taking taylor expansion of c in c 8.723 * [backup-simplify]: Simplify 0 into 0 8.723 * [backup-simplify]: Simplify 1 into 1 8.724 * [backup-simplify]: Simplify (* a 0) into 0 8.728 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 8.728 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.728 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 8.728 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 8.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 8.728 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 8.728 * [taylor]: Taking taylor expansion of (pow c 2) in c 8.728 * [taylor]: Taking taylor expansion of c in c 8.728 * [backup-simplify]: Simplify 0 into 0 8.728 * [backup-simplify]: Simplify 1 into 1 8.729 * [backup-simplify]: Simplify (* 1 1) into 1 8.729 * [backup-simplify]: Simplify (/ 1 1) into 1 8.729 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 8.729 * [taylor]: Taking taylor expansion of (pow d 2) in c 8.730 * [taylor]: Taking taylor expansion of d in c 8.730 * [backup-simplify]: Simplify d into d 8.730 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.730 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 8.730 * [backup-simplify]: Simplify (+ 1 0) into 1 8.731 * [backup-simplify]: Simplify (/ 1 1) into 1 8.731 * [backup-simplify]: Simplify (sqrt 1) into 1 8.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.733 * [backup-simplify]: Simplify (+ 0 0) into 0 8.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.734 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a 8.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 8.734 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 8.734 * [taylor]: Taking taylor expansion of (* b d) in a 8.734 * [taylor]: Taking taylor expansion of b in a 8.734 * [backup-simplify]: Simplify b into b 8.734 * [taylor]: Taking taylor expansion of d in a 8.734 * [backup-simplify]: Simplify d into d 8.734 * [backup-simplify]: Simplify (* b d) into (* b d) 8.735 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 8.735 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 8.735 * [taylor]: Taking taylor expansion of (* a c) in a 8.735 * [taylor]: Taking taylor expansion of a in a 8.735 * [backup-simplify]: Simplify 0 into 0 8.735 * [backup-simplify]: Simplify 1 into 1 8.735 * [taylor]: Taking taylor expansion of c in a 8.735 * [backup-simplify]: Simplify c into c 8.735 * [backup-simplify]: Simplify (* 0 c) into 0 8.735 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 8.735 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 8.735 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a 8.735 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 8.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 8.735 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 8.735 * [taylor]: Taking taylor expansion of (pow c 2) in a 8.735 * [taylor]: Taking taylor expansion of c in a 8.735 * [backup-simplify]: Simplify c into c 8.736 * [backup-simplify]: Simplify (* c c) into (pow c 2) 8.736 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 8.736 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 8.736 * [taylor]: Taking taylor expansion of (pow d 2) in a 8.736 * [taylor]: Taking taylor expansion of d in a 8.736 * [backup-simplify]: Simplify d into d 8.736 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.736 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 8.736 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 8.736 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 8.736 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 8.737 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 8.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 8.737 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 8.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 8.737 * [backup-simplify]: Simplify (+ 0 0) into 0 8.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 8.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 8.738 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a 8.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 8.738 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 8.738 * [taylor]: Taking taylor expansion of (* b d) in a 8.738 * [taylor]: Taking taylor expansion of b in a 8.738 * [backup-simplify]: Simplify b into b 8.738 * [taylor]: Taking taylor expansion of d in a 8.738 * [backup-simplify]: Simplify d into d 8.738 * [backup-simplify]: Simplify (* b d) into (* b d) 8.738 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 8.738 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 8.738 * [taylor]: Taking taylor expansion of (* a c) in a 8.738 * [taylor]: Taking taylor expansion of a in a 8.738 * [backup-simplify]: Simplify 0 into 0 8.739 * [backup-simplify]: Simplify 1 into 1 8.739 * [taylor]: Taking taylor expansion of c in a 8.739 * [backup-simplify]: Simplify c into c 8.739 * [backup-simplify]: Simplify (* 0 c) into 0 8.739 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 8.739 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 8.739 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a 8.739 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 8.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 8.739 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 8.739 * [taylor]: Taking taylor expansion of (pow c 2) in a 8.739 * [taylor]: Taking taylor expansion of c in a 8.739 * [backup-simplify]: Simplify c into c 8.739 * [backup-simplify]: Simplify (* c c) into (pow c 2) 8.739 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 8.739 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 8.740 * [taylor]: Taking taylor expansion of (pow d 2) in a 8.740 * [taylor]: Taking taylor expansion of d in a 8.740 * [backup-simplify]: Simplify d into d 8.740 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.740 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 8.740 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 8.740 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 8.740 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 8.740 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 8.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 8.741 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 8.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 8.741 * [backup-simplify]: Simplify (+ 0 0) into 0 8.742 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 8.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 8.742 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 8.742 * [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)) 8.742 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c 8.742 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 8.742 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 8.742 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 8.742 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 8.742 * [taylor]: Taking taylor expansion of (pow c 2) in c 8.742 * [taylor]: Taking taylor expansion of c in c 8.742 * [backup-simplify]: Simplify 0 into 0 8.742 * [backup-simplify]: Simplify 1 into 1 8.742 * [backup-simplify]: Simplify (* 1 1) into 1 8.743 * [backup-simplify]: Simplify (/ 1 1) into 1 8.743 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 8.743 * [taylor]: Taking taylor expansion of (pow d 2) in c 8.743 * [taylor]: Taking taylor expansion of d in c 8.743 * [backup-simplify]: Simplify d into d 8.743 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.743 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 8.743 * [backup-simplify]: Simplify (+ 1 0) into 1 8.743 * [backup-simplify]: Simplify (/ 1 1) into 1 8.744 * [backup-simplify]: Simplify (sqrt 1) into 1 8.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.745 * [backup-simplify]: Simplify (+ 0 0) into 0 8.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.746 * [taylor]: Taking taylor expansion of (/ 1 c) in c 8.746 * [taylor]: Taking taylor expansion of c in c 8.746 * [backup-simplify]: Simplify 0 into 0 8.746 * [backup-simplify]: Simplify 1 into 1 8.746 * [backup-simplify]: Simplify (/ 1 1) into 1 8.746 * [backup-simplify]: Simplify (* 1 1) into 1 8.746 * [taylor]: Taking taylor expansion of 1 in b 8.746 * [backup-simplify]: Simplify 1 into 1 8.747 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 8.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 8.747 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 8.747 * [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)))))) 8.747 * [taylor]: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c 8.747 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 8.747 * [taylor]: Taking taylor expansion of (* b d) in c 8.747 * [taylor]: Taking taylor expansion of b in c 8.747 * [backup-simplify]: Simplify b into b 8.747 * [taylor]: Taking taylor expansion of d in c 8.747 * [backup-simplify]: Simplify d into d 8.747 * [backup-simplify]: Simplify (* b d) into (* b d) 8.747 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 8.747 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 8.747 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 8.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 8.747 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 8.747 * [taylor]: Taking taylor expansion of (pow c 2) in c 8.747 * [taylor]: Taking taylor expansion of c in c 8.747 * [backup-simplify]: Simplify 0 into 0 8.747 * [backup-simplify]: Simplify 1 into 1 8.748 * [backup-simplify]: Simplify (* 1 1) into 1 8.748 * [backup-simplify]: Simplify (/ 1 1) into 1 8.748 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 8.748 * [taylor]: Taking taylor expansion of (pow d 2) in c 8.748 * [taylor]: Taking taylor expansion of d in c 8.748 * [backup-simplify]: Simplify d into d 8.748 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.748 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 8.748 * [backup-simplify]: Simplify (+ 1 0) into 1 8.748 * [backup-simplify]: Simplify (/ 1 1) into 1 8.749 * [backup-simplify]: Simplify (sqrt 1) into 1 8.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.750 * [backup-simplify]: Simplify (+ 0 0) into 0 8.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.752 * [taylor]: Taking taylor expansion of 0 in b 8.752 * [backup-simplify]: Simplify 0 into 0 8.752 * [taylor]: Taking taylor expansion of 1 in d 8.752 * [backup-simplify]: Simplify 1 into 1 8.752 * [backup-simplify]: Simplify 1 into 1 8.752 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 8.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 8.753 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 8.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 8.753 * [backup-simplify]: Simplify (+ 0 0) into 0 8.753 * [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 8.754 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 8.754 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 8.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 8.755 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 8.755 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 8.755 * [backup-simplify]: Simplify (+ 0 0) into 0 8.755 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 8.755 * [taylor]: Taking taylor expansion of 0 in c 8.755 * [backup-simplify]: Simplify 0 into 0 8.756 * [taylor]: Taking taylor expansion of 0 in b 8.756 * [backup-simplify]: Simplify 0 into 0 8.756 * [backup-simplify]: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d)) 8.756 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 8.756 * [taylor]: Taking taylor expansion of (* b d) in b 8.756 * [taylor]: Taking taylor expansion of b in b 8.756 * [backup-simplify]: Simplify 0 into 0 8.756 * [backup-simplify]: Simplify 1 into 1 8.756 * [taylor]: Taking taylor expansion of d in b 8.756 * [backup-simplify]: Simplify d into d 8.756 * [backup-simplify]: Simplify (* 0 d) into 0 8.756 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 8.756 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 8.756 * [taylor]: Taking taylor expansion of (/ 1 d) in d 8.756 * [taylor]: Taking taylor expansion of d in d 8.756 * [backup-simplify]: Simplify 0 into 0 8.756 * [backup-simplify]: Simplify 1 into 1 8.756 * [backup-simplify]: Simplify (/ 1 1) into 1 8.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.757 * [backup-simplify]: Simplify 0 into 0 8.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.759 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 8.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) 8.760 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2)) 8.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2)))) 8.760 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b 8.760 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b 8.760 * [taylor]: Taking taylor expansion of 1/2 in b 8.760 * [backup-simplify]: Simplify 1/2 into 1/2 8.760 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 8.760 * [taylor]: Taking taylor expansion of (pow d 2) in b 8.760 * [taylor]: Taking taylor expansion of d in b 8.760 * [backup-simplify]: Simplify d into d 8.761 * [backup-simplify]: Simplify (* d d) into (pow d 2) 8.761 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 8.761 * [taylor]: Taking taylor expansion of 0 in d 8.761 * [backup-simplify]: Simplify 0 into 0 8.761 * [backup-simplify]: Simplify 0 into 0 8.761 * [taylor]: Taking taylor expansion of 0 in d 8.761 * [backup-simplify]: Simplify 0 into 0 8.761 * [backup-simplify]: Simplify 0 into 0 8.761 * [backup-simplify]: Simplify 0 into 0 8.761 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 8.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 8.762 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 8.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 8.762 * [backup-simplify]: Simplify (+ 0 0) into 0 8.763 * [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))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 8.764 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 8.764 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 8.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 8.765 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 8.765 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 8.765 * [backup-simplify]: Simplify (+ 0 0) into 0 8.766 * [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 8.766 * [taylor]: Taking taylor expansion of 0 in c 8.766 * [backup-simplify]: Simplify 0 into 0 8.766 * [taylor]: Taking taylor expansion of 0 in b 8.766 * [backup-simplify]: Simplify 0 into 0 8.766 * [taylor]: Taking taylor expansion of 0 in b 8.766 * [backup-simplify]: Simplify 0 into 0 8.766 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 8.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 8.766 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0 8.766 * [taylor]: Taking taylor expansion of 0 in b 8.766 * [backup-simplify]: Simplify 0 into 0 8.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.768 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 8.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 8.769 * [backup-simplify]: Simplify (+ 0 0) into 0 8.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 8.770 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0 8.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0 8.770 * [taylor]: Taking taylor expansion of 0 in b 8.770 * [backup-simplify]: Simplify 0 into 0 8.770 * [taylor]: Taking taylor expansion of 0 in d 8.771 * [backup-simplify]: Simplify 0 into 0 8.771 * [backup-simplify]: Simplify 0 into 0 8.771 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 8.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 8.771 * [taylor]: Taking taylor expansion of 0 in d 8.771 * [backup-simplify]: Simplify 0 into 0 8.771 * [backup-simplify]: Simplify 0 into 0 8.771 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- a))))))) into (* -1 a) 8.771 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 8.771 * [backup-simplify]: Simplify (+ (* a c) (* b d)) into (+ (* a c) (* b d)) 8.771 * [approximate]: Taking taylor expansion of (+ (* a c) (* b d)) in (a c b d) around 0 8.771 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d 8.771 * [taylor]: Taking taylor expansion of (* a c) in d 8.771 * [taylor]: Taking taylor expansion of a in d 8.772 * [backup-simplify]: Simplify a into a 8.772 * [taylor]: Taking taylor expansion of c in d 8.772 * [backup-simplify]: Simplify c into c 8.772 * [taylor]: Taking taylor expansion of (* b d) in d 8.772 * [taylor]: Taking taylor expansion of b in d 8.772 * [backup-simplify]: Simplify b into b 8.772 * [taylor]: Taking taylor expansion of d in d 8.772 * [backup-simplify]: Simplify 0 into 0 8.772 * [backup-simplify]: Simplify 1 into 1 8.772 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b 8.772 * [taylor]: Taking taylor expansion of (* a c) in b 8.772 * [taylor]: Taking taylor expansion of a in b 8.772 * [backup-simplify]: Simplify a into a 8.772 * [taylor]: Taking taylor expansion of c in b 8.772 * [backup-simplify]: Simplify c into c 8.772 * [taylor]: Taking taylor expansion of (* b d) in b 8.772 * [taylor]: Taking taylor expansion of b in b 8.772 * [backup-simplify]: Simplify 0 into 0 8.772 * [backup-simplify]: Simplify 1 into 1 8.772 * [taylor]: Taking taylor expansion of d in b 8.772 * [backup-simplify]: Simplify d into d 8.772 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c 8.772 * [taylor]: Taking taylor expansion of (* a c) in c 8.772 * [taylor]: Taking taylor expansion of a in c 8.772 * [backup-simplify]: Simplify a into a 8.772 * [taylor]: Taking taylor expansion of c in c 8.772 * [backup-simplify]: Simplify 0 into 0 8.772 * [backup-simplify]: Simplify 1 into 1 8.772 * [taylor]: Taking taylor expansion of (* b d) in c 8.772 * [taylor]: Taking taylor expansion of b in c 8.772 * [backup-simplify]: Simplify b into b 8.772 * [taylor]: Taking taylor expansion of d in c 8.772 * [backup-simplify]: Simplify d into d 8.772 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 8.772 * [taylor]: Taking taylor expansion of (* a c) in a 8.772 * [taylor]: Taking taylor expansion of a in a 8.772 * [backup-simplify]: Simplify 0 into 0 8.772 * [backup-simplify]: Simplify 1 into 1 8.772 * [taylor]: Taking taylor expansion of c in a 8.772 * [backup-simplify]: Simplify c into c 8.772 * [taylor]: Taking taylor expansion of (* b d) in a 8.772 * [taylor]: Taking taylor expansion of b in a 8.772 * [backup-simplify]: Simplify b into b 8.772 * [taylor]: Taking taylor expansion of d in a 8.772 * [backup-simplify]: Simplify d into d 8.772 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 8.772 * [taylor]: Taking taylor expansion of (* a c) in a 8.772 * [taylor]: Taking taylor expansion of a in a 8.772 * [backup-simplify]: Simplify 0 into 0 8.772 * [backup-simplify]: Simplify 1 into 1 8.772 * [taylor]: Taking taylor expansion of c in a 8.772 * [backup-simplify]: Simplify c into c 8.772 * [taylor]: Taking taylor expansion of (* b d) in a 8.772 * [taylor]: Taking taylor expansion of b in a 8.772 * [backup-simplify]: Simplify b into b 8.772 * [taylor]: Taking taylor expansion of d in a 8.772 * [backup-simplify]: Simplify d into d 8.772 * [backup-simplify]: Simplify (* 0 c) into 0 8.772 * [backup-simplify]: Simplify (* b d) into (* b d) 8.772 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 8.772 * [taylor]: Taking taylor expansion of (* b d) in c 8.772 * [taylor]: Taking taylor expansion of b in c 8.773 * [backup-simplify]: Simplify b into b 8.773 * [taylor]: Taking taylor expansion of d in c 8.773 * [backup-simplify]: Simplify d into d 8.773 * [backup-simplify]: Simplify (* b d) into (* b d) 8.773 * [taylor]: Taking taylor expansion of (* b d) in b 8.773 * [taylor]: Taking taylor expansion of b in b 8.773 * [backup-simplify]: Simplify 0 into 0 8.773 * [backup-simplify]: Simplify 1 into 1 8.773 * [taylor]: Taking taylor expansion of d in b 8.773 * [backup-simplify]: Simplify d into d 8.773 * [backup-simplify]: Simplify (* 0 d) into 0 8.773 * [taylor]: Taking taylor expansion of 0 in d 8.773 * [backup-simplify]: Simplify 0 into 0 8.773 * [backup-simplify]: Simplify 0 into 0 8.773 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 8.773 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 8.773 * [backup-simplify]: Simplify (+ c 0) into c 8.773 * [taylor]: Taking taylor expansion of c in c 8.773 * [backup-simplify]: Simplify 0 into 0 8.773 * [backup-simplify]: Simplify 1 into 1 8.773 * [taylor]: Taking taylor expansion of 0 in b 8.773 * [backup-simplify]: Simplify 0 into 0 8.773 * [taylor]: Taking taylor expansion of 0 in d 8.773 * [backup-simplify]: Simplify 0 into 0 8.773 * [backup-simplify]: Simplify 0 into 0 8.773 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 8.773 * [taylor]: Taking taylor expansion of 0 in b 8.773 * [backup-simplify]: Simplify 0 into 0 8.773 * [taylor]: Taking taylor expansion of 0 in d 8.773 * [backup-simplify]: Simplify 0 into 0 8.773 * [backup-simplify]: Simplify 0 into 0 8.774 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 8.774 * [taylor]: Taking taylor expansion of d in d 8.774 * [backup-simplify]: Simplify 0 into 0 8.774 * [backup-simplify]: Simplify 1 into 1 8.774 * [backup-simplify]: Simplify 0 into 0 8.774 * [backup-simplify]: Simplify 0 into 0 8.775 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 8.775 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 8.776 * [backup-simplify]: Simplify (+ 0 0) into 0 8.776 * [taylor]: Taking taylor expansion of 0 in c 8.776 * [backup-simplify]: Simplify 0 into 0 8.776 * [taylor]: Taking taylor expansion of 0 in b 8.776 * [backup-simplify]: Simplify 0 into 0 8.776 * [taylor]: Taking taylor expansion of 0 in d 8.776 * [backup-simplify]: Simplify 0 into 0 8.776 * [backup-simplify]: Simplify 0 into 0 8.776 * [backup-simplify]: Simplify 0 into 0 8.776 * [backup-simplify]: Simplify (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) into (+ (/ 1 (* b d)) (/ 1 (* a c))) 8.776 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0 8.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 8.776 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 8.776 * [taylor]: Taking taylor expansion of (* b d) in d 8.776 * [taylor]: Taking taylor expansion of b in d 8.776 * [backup-simplify]: Simplify b into b 8.776 * [taylor]: Taking taylor expansion of d in d 8.776 * [backup-simplify]: Simplify 0 into 0 8.776 * [backup-simplify]: Simplify 1 into 1 8.776 * [backup-simplify]: Simplify (* b 0) into 0 8.777 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 8.777 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.777 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 8.777 * [taylor]: Taking taylor expansion of (* a c) in d 8.777 * [taylor]: Taking taylor expansion of a in d 8.777 * [backup-simplify]: Simplify a into a 8.777 * [taylor]: Taking taylor expansion of c in d 8.777 * [backup-simplify]: Simplify c into c 8.777 * [backup-simplify]: Simplify (* a c) into (* a c) 8.777 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 8.777 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 8.777 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 8.777 * [taylor]: Taking taylor expansion of (* b d) in b 8.777 * [taylor]: Taking taylor expansion of b in b 8.777 * [backup-simplify]: Simplify 0 into 0 8.777 * [backup-simplify]: Simplify 1 into 1 8.777 * [taylor]: Taking taylor expansion of d in b 8.777 * [backup-simplify]: Simplify d into d 8.777 * [backup-simplify]: Simplify (* 0 d) into 0 8.778 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 8.778 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 8.778 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 8.778 * [taylor]: Taking taylor expansion of (* a c) in b 8.778 * [taylor]: Taking taylor expansion of a in b 8.778 * [backup-simplify]: Simplify a into a 8.778 * [taylor]: Taking taylor expansion of c in b 8.778 * [backup-simplify]: Simplify c into c 8.778 * [backup-simplify]: Simplify (* a c) into (* a c) 8.778 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 8.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 8.778 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 8.778 * [taylor]: Taking taylor expansion of (* b d) in c 8.778 * [taylor]: Taking taylor expansion of b in c 8.778 * [backup-simplify]: Simplify b into b 8.778 * [taylor]: Taking taylor expansion of d in c 8.778 * [backup-simplify]: Simplify d into d 8.778 * [backup-simplify]: Simplify (* b d) into (* b d) 8.778 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 8.778 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 8.778 * [taylor]: Taking taylor expansion of (* a c) in c 8.778 * [taylor]: Taking taylor expansion of a in c 8.778 * [backup-simplify]: Simplify a into a 8.778 * [taylor]: Taking taylor expansion of c in c 8.778 * [backup-simplify]: Simplify 0 into 0 8.779 * [backup-simplify]: Simplify 1 into 1 8.779 * [backup-simplify]: Simplify (* a 0) into 0 8.779 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 8.779 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.779 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 8.779 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 8.779 * [taylor]: Taking taylor expansion of (* b d) in a 8.779 * [taylor]: Taking taylor expansion of b in a 8.779 * [backup-simplify]: Simplify b into b 8.779 * [taylor]: Taking taylor expansion of d in a 8.779 * [backup-simplify]: Simplify d into d 8.779 * [backup-simplify]: Simplify (* b d) into (* b d) 8.779 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 8.779 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 8.779 * [taylor]: Taking taylor expansion of (* a c) in a 8.779 * [taylor]: Taking taylor expansion of a in a 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [backup-simplify]: Simplify 1 into 1 8.779 * [taylor]: Taking taylor expansion of c in a 8.779 * [backup-simplify]: Simplify c into c 8.780 * [backup-simplify]: Simplify (* 0 c) into 0 8.780 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 8.780 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 8.780 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 8.780 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 8.780 * [taylor]: Taking taylor expansion of (* b d) in a 8.780 * [taylor]: Taking taylor expansion of b in a 8.780 * [backup-simplify]: Simplify b into b 8.780 * [taylor]: Taking taylor expansion of d in a 8.780 * [backup-simplify]: Simplify d into d 8.780 * [backup-simplify]: Simplify (* b d) into (* b d) 8.780 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 8.780 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 8.780 * [taylor]: Taking taylor expansion of (* a c) in a 8.780 * [taylor]: Taking taylor expansion of a in a 8.780 * [backup-simplify]: Simplify 0 into 0 8.780 * [backup-simplify]: Simplify 1 into 1 8.780 * [taylor]: Taking taylor expansion of c in a 8.780 * [backup-simplify]: Simplify c into c 8.781 * [backup-simplify]: Simplify (* 0 c) into 0 8.781 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 8.781 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 8.781 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 8.781 * [taylor]: Taking taylor expansion of (/ 1 c) in c 8.781 * [taylor]: Taking taylor expansion of c in c 8.781 * [backup-simplify]: Simplify 0 into 0 8.781 * [backup-simplify]: Simplify 1 into 1 8.782 * [backup-simplify]: Simplify (/ 1 1) into 1 8.782 * [taylor]: Taking taylor expansion of 1 in b 8.782 * [backup-simplify]: Simplify 1 into 1 8.783 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 8.783 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 8.783 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 8.783 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 8.783 * [taylor]: Taking taylor expansion of (* b d) in c 8.783 * [taylor]: Taking taylor expansion of b in c 8.783 * [backup-simplify]: Simplify b into b 8.783 * [taylor]: Taking taylor expansion of d in c 8.783 * [backup-simplify]: Simplify d into d 8.783 * [backup-simplify]: Simplify (* b d) into (* b d) 8.783 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 8.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.784 * [taylor]: Taking taylor expansion of 0 in b 8.784 * [backup-simplify]: Simplify 0 into 0 8.784 * [taylor]: Taking taylor expansion of 1 in d 8.784 * [backup-simplify]: Simplify 1 into 1 8.784 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 8.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 8.786 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 8.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 8.786 * [backup-simplify]: Simplify (+ 0 0) into 0 8.786 * [taylor]: Taking taylor expansion of 0 in c 8.786 * [backup-simplify]: Simplify 0 into 0 8.786 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 8.786 * [taylor]: Taking taylor expansion of (* b d) in b 8.786 * [taylor]: Taking taylor expansion of b in b 8.786 * [backup-simplify]: Simplify 0 into 0 8.786 * [backup-simplify]: Simplify 1 into 1 8.786 * [taylor]: Taking taylor expansion of d in b 8.786 * [backup-simplify]: Simplify d into d 8.786 * [backup-simplify]: Simplify (* 0 d) into 0 8.787 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 8.787 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 8.787 * [taylor]: Taking taylor expansion of (/ 1 d) in d 8.787 * [taylor]: Taking taylor expansion of d in d 8.787 * [backup-simplify]: Simplify 0 into 0 8.787 * [backup-simplify]: Simplify 1 into 1 8.787 * [backup-simplify]: Simplify (/ 1 1) into 1 8.787 * [backup-simplify]: Simplify 1 into 1 8.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.788 * [taylor]: Taking taylor expansion of 0 in b 8.788 * [backup-simplify]: Simplify 0 into 0 8.788 * [taylor]: Taking taylor expansion of 0 in d 8.789 * [backup-simplify]: Simplify 0 into 0 8.789 * [taylor]: Taking taylor expansion of 0 in d 8.789 * [backup-simplify]: Simplify 0 into 0 8.789 * [backup-simplify]: Simplify 1 into 1 8.789 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 8.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 8.791 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 8.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 8.792 * [backup-simplify]: Simplify (+ 0 0) into 0 8.792 * [taylor]: Taking taylor expansion of 0 in c 8.792 * [backup-simplify]: Simplify 0 into 0 8.792 * [taylor]: Taking taylor expansion of 0 in b 8.792 * [backup-simplify]: Simplify 0 into 0 8.792 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 8.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 8.792 * [taylor]: Taking taylor expansion of 0 in b 8.792 * [backup-simplify]: Simplify 0 into 0 8.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.794 * [taylor]: Taking taylor expansion of 0 in b 8.794 * [backup-simplify]: Simplify 0 into 0 8.795 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 8.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 8.795 * [taylor]: Taking taylor expansion of 0 in d 8.795 * [backup-simplify]: Simplify 0 into 0 8.795 * [taylor]: Taking taylor expansion of 0 in d 8.795 * [backup-simplify]: Simplify 0 into 0 8.795 * [taylor]: Taking taylor expansion of 0 in d 8.795 * [backup-simplify]: Simplify 0 into 0 8.795 * [taylor]: Taking taylor expansion of 0 in d 8.795 * [backup-simplify]: Simplify 0 into 0 8.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.796 * [backup-simplify]: Simplify 0 into 0 8.796 * [backup-simplify]: Simplify 0 into 0 8.796 * [backup-simplify]: Simplify 0 into 0 8.796 * [backup-simplify]: Simplify 0 into 0 8.797 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 8.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 8.799 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0 8.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 8.799 * [backup-simplify]: Simplify (+ 0 0) into 0 8.799 * [taylor]: Taking taylor expansion of 0 in c 8.799 * [backup-simplify]: Simplify 0 into 0 8.800 * [taylor]: Taking taylor expansion of 0 in b 8.800 * [backup-simplify]: Simplify 0 into 0 8.800 * [taylor]: Taking taylor expansion of 0 in b 8.800 * [backup-simplify]: Simplify 0 into 0 8.800 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 8.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 8.800 * [taylor]: Taking taylor expansion of 0 in b 8.800 * [backup-simplify]: Simplify 0 into 0 8.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.801 * [taylor]: Taking taylor expansion of 0 in b 8.801 * [backup-simplify]: Simplify 0 into 0 8.801 * [taylor]: Taking taylor expansion of 0 in d 8.801 * [backup-simplify]: Simplify 0 into 0 8.801 * [taylor]: Taking taylor expansion of 0 in d 8.802 * [backup-simplify]: Simplify 0 into 0 8.802 * [taylor]: Taking taylor expansion of 0 in d 8.802 * [backup-simplify]: Simplify 0 into 0 8.803 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 8.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 8.803 * [taylor]: Taking taylor expansion of 0 in d 8.803 * [backup-simplify]: Simplify 0 into 0 8.803 * [taylor]: Taking taylor expansion of 0 in d 8.803 * [backup-simplify]: Simplify 0 into 0 8.803 * [taylor]: Taking taylor expansion of 0 in d 8.803 * [backup-simplify]: Simplify 0 into 0 8.803 * [taylor]: Taking taylor expansion of 0 in d 8.803 * [backup-simplify]: Simplify 0 into 0 8.803 * [backup-simplify]: Simplify 0 into 0 8.804 * [backup-simplify]: Simplify 0 into 0 8.804 * [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)) 8.804 * [backup-simplify]: Simplify (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) into (+ (/ 1 (* b d)) (/ 1 (* a c))) 8.805 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0 8.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 8.805 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 8.805 * [taylor]: Taking taylor expansion of (* b d) in d 8.805 * [taylor]: Taking taylor expansion of b in d 8.805 * [backup-simplify]: Simplify b into b 8.805 * [taylor]: Taking taylor expansion of d in d 8.805 * [backup-simplify]: Simplify 0 into 0 8.805 * [backup-simplify]: Simplify 1 into 1 8.805 * [backup-simplify]: Simplify (* b 0) into 0 8.805 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 8.805 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.805 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 8.805 * [taylor]: Taking taylor expansion of (* a c) in d 8.805 * [taylor]: Taking taylor expansion of a in d 8.805 * [backup-simplify]: Simplify a into a 8.805 * [taylor]: Taking taylor expansion of c in d 8.805 * [backup-simplify]: Simplify c into c 8.805 * [backup-simplify]: Simplify (* a c) into (* a c) 8.806 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 8.806 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 8.806 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 8.806 * [taylor]: Taking taylor expansion of (* b d) in b 8.806 * [taylor]: Taking taylor expansion of b in b 8.806 * [backup-simplify]: Simplify 0 into 0 8.806 * [backup-simplify]: Simplify 1 into 1 8.806 * [taylor]: Taking taylor expansion of d in b 8.806 * [backup-simplify]: Simplify d into d 8.806 * [backup-simplify]: Simplify (* 0 d) into 0 8.806 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 8.806 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 8.806 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 8.806 * [taylor]: Taking taylor expansion of (* a c) in b 8.806 * [taylor]: Taking taylor expansion of a in b 8.806 * [backup-simplify]: Simplify a into a 8.806 * [taylor]: Taking taylor expansion of c in b 8.806 * [backup-simplify]: Simplify c into c 8.806 * [backup-simplify]: Simplify (* a c) into (* a c) 8.807 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 8.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 8.807 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 8.807 * [taylor]: Taking taylor expansion of (* b d) in c 8.807 * [taylor]: Taking taylor expansion of b in c 8.807 * [backup-simplify]: Simplify b into b 8.807 * [taylor]: Taking taylor expansion of d in c 8.807 * [backup-simplify]: Simplify d into d 8.807 * [backup-simplify]: Simplify (* b d) into (* b d) 8.807 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 8.807 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 8.807 * [taylor]: Taking taylor expansion of (* a c) in c 8.807 * [taylor]: Taking taylor expansion of a in c 8.807 * [backup-simplify]: Simplify a into a 8.807 * [taylor]: Taking taylor expansion of c in c 8.807 * [backup-simplify]: Simplify 0 into 0 8.807 * [backup-simplify]: Simplify 1 into 1 8.807 * [backup-simplify]: Simplify (* a 0) into 0 8.807 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 8.808 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.808 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 8.808 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 8.808 * [taylor]: Taking taylor expansion of (* b d) in a 8.808 * [taylor]: Taking taylor expansion of b in a 8.808 * [backup-simplify]: Simplify b into b 8.808 * [taylor]: Taking taylor expansion of d in a 8.808 * [backup-simplify]: Simplify d into d 8.808 * [backup-simplify]: Simplify (* b d) into (* b d) 8.808 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 8.808 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 8.808 * [taylor]: Taking taylor expansion of (* a c) in a 8.808 * [taylor]: Taking taylor expansion of a in a 8.808 * [backup-simplify]: Simplify 0 into 0 8.808 * [backup-simplify]: Simplify 1 into 1 8.808 * [taylor]: Taking taylor expansion of c in a 8.808 * [backup-simplify]: Simplify c into c 8.808 * [backup-simplify]: Simplify (* 0 c) into 0 8.809 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 8.809 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 8.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 8.809 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 8.809 * [taylor]: Taking taylor expansion of (* b d) in a 8.809 * [taylor]: Taking taylor expansion of b in a 8.809 * [backup-simplify]: Simplify b into b 8.809 * [taylor]: Taking taylor expansion of d in a 8.809 * [backup-simplify]: Simplify d into d 8.809 * [backup-simplify]: Simplify (* b d) into (* b d) 8.809 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 8.809 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 8.809 * [taylor]: Taking taylor expansion of (* a c) in a 8.809 * [taylor]: Taking taylor expansion of a in a 8.809 * [backup-simplify]: Simplify 0 into 0 8.809 * [backup-simplify]: Simplify 1 into 1 8.809 * [taylor]: Taking taylor expansion of c in a 8.809 * [backup-simplify]: Simplify c into c 8.809 * [backup-simplify]: Simplify (* 0 c) into 0 8.810 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 8.810 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 8.810 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 8.810 * [taylor]: Taking taylor expansion of (/ 1 c) in c 8.810 * [taylor]: Taking taylor expansion of c in c 8.810 * [backup-simplify]: Simplify 0 into 0 8.810 * [backup-simplify]: Simplify 1 into 1 8.810 * [backup-simplify]: Simplify (/ 1 1) into 1 8.810 * [taylor]: Taking taylor expansion of 1 in b 8.810 * [backup-simplify]: Simplify 1 into 1 8.811 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 8.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 8.811 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 8.811 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 8.811 * [taylor]: Taking taylor expansion of (* b d) in c 8.811 * [taylor]: Taking taylor expansion of b in c 8.811 * [backup-simplify]: Simplify b into b 8.811 * [taylor]: Taking taylor expansion of d in c 8.811 * [backup-simplify]: Simplify d into d 8.812 * [backup-simplify]: Simplify (* b d) into (* b d) 8.812 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 8.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.812 * [taylor]: Taking taylor expansion of 0 in b 8.812 * [backup-simplify]: Simplify 0 into 0 8.812 * [taylor]: Taking taylor expansion of 1 in d 8.813 * [backup-simplify]: Simplify 1 into 1 8.813 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 8.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 8.814 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 8.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 8.814 * [backup-simplify]: Simplify (+ 0 0) into 0 8.814 * [taylor]: Taking taylor expansion of 0 in c 8.815 * [backup-simplify]: Simplify 0 into 0 8.815 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 8.815 * [taylor]: Taking taylor expansion of (* b d) in b 8.815 * [taylor]: Taking taylor expansion of b in b 8.815 * [backup-simplify]: Simplify 0 into 0 8.815 * [backup-simplify]: Simplify 1 into 1 8.815 * [taylor]: Taking taylor expansion of d in b 8.815 * [backup-simplify]: Simplify d into d 8.815 * [backup-simplify]: Simplify (* 0 d) into 0 8.815 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 8.815 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 8.815 * [taylor]: Taking taylor expansion of (/ 1 d) in d 8.815 * [taylor]: Taking taylor expansion of d in d 8.815 * [backup-simplify]: Simplify 0 into 0 8.815 * [backup-simplify]: Simplify 1 into 1 8.816 * [backup-simplify]: Simplify (/ 1 1) into 1 8.816 * [backup-simplify]: Simplify 1 into 1 8.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.817 * [taylor]: Taking taylor expansion of 0 in b 8.817 * [backup-simplify]: Simplify 0 into 0 8.817 * [taylor]: Taking taylor expansion of 0 in d 8.817 * [backup-simplify]: Simplify 0 into 0 8.817 * [taylor]: Taking taylor expansion of 0 in d 8.817 * [backup-simplify]: Simplify 0 into 0 8.817 * [backup-simplify]: Simplify 1 into 1 8.818 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 8.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 8.819 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 8.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 8.820 * [backup-simplify]: Simplify (+ 0 0) into 0 8.820 * [taylor]: Taking taylor expansion of 0 in c 8.820 * [backup-simplify]: Simplify 0 into 0 8.820 * [taylor]: Taking taylor expansion of 0 in b 8.820 * [backup-simplify]: Simplify 0 into 0 8.820 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 8.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 8.820 * [taylor]: Taking taylor expansion of 0 in b 8.820 * [backup-simplify]: Simplify 0 into 0 8.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.821 * [taylor]: Taking taylor expansion of 0 in b 8.821 * [backup-simplify]: Simplify 0 into 0 8.822 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 8.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 8.822 * [taylor]: Taking taylor expansion of 0 in d 8.822 * [backup-simplify]: Simplify 0 into 0 8.822 * [taylor]: Taking taylor expansion of 0 in d 8.822 * [backup-simplify]: Simplify 0 into 0 8.822 * [taylor]: Taking taylor expansion of 0 in d 8.822 * [backup-simplify]: Simplify 0 into 0 8.822 * [taylor]: Taking taylor expansion of 0 in d 8.822 * [backup-simplify]: Simplify 0 into 0 8.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.823 * [backup-simplify]: Simplify 0 into 0 8.823 * [backup-simplify]: Simplify 0 into 0 8.823 * [backup-simplify]: Simplify 0 into 0 8.823 * [backup-simplify]: Simplify 0 into 0 8.823 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 8.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 8.825 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0 8.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 8.825 * [backup-simplify]: Simplify (+ 0 0) into 0 8.825 * [taylor]: Taking taylor expansion of 0 in c 8.825 * [backup-simplify]: Simplify 0 into 0 8.825 * [taylor]: Taking taylor expansion of 0 in b 8.825 * [backup-simplify]: Simplify 0 into 0 8.825 * [taylor]: Taking taylor expansion of 0 in b 8.825 * [backup-simplify]: Simplify 0 into 0 8.825 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 8.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 8.826 * [taylor]: Taking taylor expansion of 0 in b 8.826 * [backup-simplify]: Simplify 0 into 0 8.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.826 * [taylor]: Taking taylor expansion of 0 in b 8.826 * [backup-simplify]: Simplify 0 into 0 8.826 * [taylor]: Taking taylor expansion of 0 in d 8.826 * [backup-simplify]: Simplify 0 into 0 8.826 * [taylor]: Taking taylor expansion of 0 in d 8.826 * [backup-simplify]: Simplify 0 into 0 8.826 * [taylor]: Taking taylor expansion of 0 in d 8.826 * [backup-simplify]: Simplify 0 into 0 8.827 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 8.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 8.827 * [taylor]: Taking taylor expansion of 0 in d 8.827 * [backup-simplify]: Simplify 0 into 0 8.827 * [taylor]: Taking taylor expansion of 0 in d 8.827 * [backup-simplify]: Simplify 0 into 0 8.827 * [taylor]: Taking taylor expansion of 0 in d 8.827 * [backup-simplify]: Simplify 0 into 0 8.827 * [taylor]: Taking taylor expansion of 0 in d 8.827 * [backup-simplify]: Simplify 0 into 0 8.827 * [backup-simplify]: Simplify 0 into 0 8.827 * [backup-simplify]: Simplify 0 into 0 8.828 * [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)) 8.828 * * * [progress]: simplifying candidates 8.828 * * * * [progress]: [ 1 / 110 ] simplifiying candidate # 8.828 * * * * [progress]: [ 2 / 110 ] simplifiying candidate # 8.828 * * * * [progress]: [ 3 / 110 ] simplifiying candidate # 8.828 * * * * [progress]: [ 4 / 110 ] simplifiying candidate # 8.828 * * * * [progress]: [ 5 / 110 ] simplifiying candidate # 8.828 * * * * [progress]: [ 6 / 110 ] simplifiying candidate # 8.828 * * * * [progress]: [ 7 / 110 ] simplifiying candidate # 8.828 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 8.828 * * [simplify]: iters left: 6 (8 enodes) 8.830 * * [simplify]: iters left: 5 (26 enodes) 8.834 * * [simplify]: Extracting #0: cost 1 inf + 0 8.834 * * [simplify]: Extracting #1: cost 4 inf + 0 8.834 * * [simplify]: Extracting #2: cost 7 inf + 0 8.834 * * [simplify]: Extracting #3: cost 10 inf + 0 8.834 * * [simplify]: Extracting #4: cost 14 inf + 0 8.834 * * [simplify]: Extracting #5: cost 10 inf + 84 8.834 * * [simplify]: Extracting #6: cost 8 inf + 166 8.834 * * [simplify]: Extracting #7: cost 4 inf + 854 8.834 * * [simplify]: Extracting #8: cost 1 inf + 1540 8.834 * * [simplify]: Extracting #9: cost 0 inf + 1782 8.835 * [simplify]: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) 8.835 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) 8.835 * * * * [progress]: [ 8 / 110 ] simplifiying candidate # 8.835 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) 8.835 * * [simplify]: iters left: 6 (7 enodes) 8.837 * * [simplify]: iters left: 5 (22 enodes) 8.839 * * [simplify]: Extracting #0: cost 1 inf + 0 8.840 * * [simplify]: Extracting #1: cost 3 inf + 0 8.840 * * [simplify]: Extracting #2: cost 5 inf + 0 8.840 * * [simplify]: Extracting #3: cost 8 inf + 0 8.840 * * [simplify]: Extracting #4: cost 12 inf + 0 8.840 * * [simplify]: Extracting #5: cost 10 inf + 2 8.840 * * [simplify]: Extracting #6: cost 1 inf + 936 8.840 * * [simplify]: Extracting #7: cost 0 inf + 1138 8.840 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) 8.840 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) 8.840 * * * * [progress]: [ 9 / 110 ] simplifiying candidate # 8.841 * [simplify]: Simplifying (sqrt 1) 8.841 * * [simplify]: iters left: 1 (2 enodes) 8.845 * * [simplify]: Extracting #0: cost 1 inf + 0 8.845 * * [simplify]: Extracting #1: cost 0 inf + 1 8.845 * [simplify]: Simplified to 1 8.845 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* 1 (sqrt (+ (* c c) (* d d)))))) 8.845 * * * * [progress]: [ 10 / 110 ] simplifiying candidate # 8.845 * [simplify]: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) 8.846 * * [simplify]: iters left: 6 (9 enodes) 8.848 * * [simplify]: iters left: 5 (45 enodes) 8.860 * * [simplify]: iters left: 4 (100 enodes) 8.902 * * [simplify]: iters left: 3 (201 enodes) 8.990 * * [simplify]: iters left: 2 (406 enodes) 9.139 * * [simplify]: Extracting #0: cost 1 inf + 0 9.139 * * [simplify]: Extracting #1: cost 3 inf + 0 9.139 * * [simplify]: Extracting #2: cost 6 inf + 0 9.139 * * [simplify]: Extracting #3: cost 62 inf + 0 9.140 * * [simplify]: Extracting #4: cost 166 inf + 460 9.143 * * [simplify]: Extracting #5: cost 131 inf + 12951 9.150 * * [simplify]: Extracting #6: cost 49 inf + 45746 9.157 * * [simplify]: Extracting #7: cost 1 inf + 66256 9.162 * * [simplify]: Extracting #8: cost 0 inf + 65919 9.168 * [simplify]: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) 9.168 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))) 9.168 * * * * [progress]: [ 11 / 110 ] simplifiying candidate # 9.168 * [simplify]: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) 9.169 * * [simplify]: iters left: 6 (8 enodes) 9.171 * * [simplify]: iters left: 5 (37 enodes) 9.181 * * [simplify]: iters left: 4 (67 enodes) 9.198 * * [simplify]: iters left: 3 (123 enodes) 9.245 * * [simplify]: iters left: 2 (278 enodes) 9.422 * * [simplify]: Extracting #0: cost 1 inf + 0 9.422 * * [simplify]: Extracting #1: cost 3 inf + 0 9.422 * * [simplify]: Extracting #2: cost 50 inf + 0 9.423 * * [simplify]: Extracting #3: cost 150 inf + 0 9.424 * * [simplify]: Extracting #4: cost 194 inf + 1180 9.426 * * [simplify]: Extracting #5: cost 123 inf + 12421 9.432 * * [simplify]: Extracting #6: cost 12 inf + 33804 9.440 * * [simplify]: Extracting #7: cost 0 inf + 36129 9.449 * [simplify]: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) 9.449 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d)))))) 9.450 * * * * [progress]: [ 12 / 110 ] simplifiying candidate # 9.450 * [simplify]: Simplifying (+ (* c c) (* d d)) 9.450 * * [simplify]: iters left: 4 (5 enodes) 9.452 * * [simplify]: iters left: 3 (16 enodes) 9.457 * * [simplify]: Extracting #0: cost 1 inf + 0 9.457 * * [simplify]: Extracting #1: cost 4 inf + 0 9.457 * * [simplify]: Extracting #2: cost 8 inf + 0 9.457 * * [simplify]: Extracting #3: cost 4 inf + 84 9.457 * * [simplify]: Extracting #4: cost 0 inf + 410 9.457 * [simplify]: Simplified to (+ (* c c) (* d d)) 9.457 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (pow (+ (* c c) (* d d)) (/ 1 2)))) 9.457 * * * * [progress]: [ 13 / 110 ] simplifiying candidate # 9.458 * * * * [progress]: [ 14 / 110 ] simplifiying candidate # 9.458 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d))) 9.458 * * [simplify]: iters left: 5 (6 enodes) 9.461 * * [simplify]: iters left: 4 (19 enodes) 9.466 * * [simplify]: Extracting #0: cost 1 inf + 0 9.466 * * [simplify]: Extracting #1: cost 3 inf + 0 9.466 * * [simplify]: Extracting #2: cost 6 inf + 0 9.466 * * [simplify]: Extracting #3: cost 10 inf + 0 9.466 * * [simplify]: Extracting #4: cost 6 inf + 84 9.466 * * [simplify]: Extracting #5: cost 0 inf + 734 9.466 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d))) 9.466 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (fabs (sqrt (+ (* c c) (* d d)))))) 9.467 * * * * [progress]: [ 15 / 110 ] simplifiying candidate # 9.467 * * * * [progress]: [ 16 / 110 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* c c) (* d d)))))))> 9.467 * * * * [progress]: [ 17 / 110 ] simplifiying candidate # 9.467 * * * * [progress]: [ 18 / 110 ] simplifiying candidate # 9.467 * * * * [progress]: [ 19 / 110 ] simplifiying candidate # 9.467 * * * * [progress]: [ 20 / 110 ] simplifiying candidate # 9.467 * * * * [progress]: [ 21 / 110 ] simplifiying candidate # 9.467 * * * * [progress]: [ 22 / 110 ] simplifiying candidate # 9.467 * * * * [progress]: [ 23 / 110 ] simplifiying candidate # 9.467 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 9.468 * * [simplify]: iters left: 6 (8 enodes) 9.471 * * [simplify]: iters left: 5 (26 enodes) 9.476 * * [simplify]: Extracting #0: cost 1 inf + 0 9.476 * * [simplify]: Extracting #1: cost 4 inf + 0 9.476 * * [simplify]: Extracting #2: cost 7 inf + 0 9.476 * * [simplify]: Extracting #3: cost 10 inf + 0 9.476 * * [simplify]: Extracting #4: cost 14 inf + 0 9.476 * * [simplify]: Extracting #5: cost 10 inf + 84 9.476 * * [simplify]: Extracting #6: cost 8 inf + 166 9.476 * * [simplify]: Extracting #7: cost 4 inf + 854 9.476 * * [simplify]: Extracting #8: cost 1 inf + 1540 9.477 * * [simplify]: Extracting #9: cost 0 inf + 1782 9.477 * [simplify]: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) 9.477 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) 9.477 * * * * [progress]: [ 24 / 110 ] simplifiying candidate # 9.478 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) 9.478 * * [simplify]: iters left: 6 (7 enodes) 9.479 * * [simplify]: iters left: 5 (22 enodes) 9.482 * * [simplify]: Extracting #0: cost 1 inf + 0 9.482 * * [simplify]: Extracting #1: cost 3 inf + 0 9.482 * * [simplify]: Extracting #2: cost 5 inf + 0 9.482 * * [simplify]: Extracting #3: cost 8 inf + 0 9.482 * * [simplify]: Extracting #4: cost 12 inf + 0 9.482 * * [simplify]: Extracting #5: cost 10 inf + 2 9.482 * * [simplify]: Extracting #6: cost 1 inf + 936 9.483 * * [simplify]: Extracting #7: cost 0 inf + 1138 9.483 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) 9.483 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) 9.483 * * * * [progress]: [ 25 / 110 ] simplifiying candidate # 9.483 * [simplify]: Simplifying (sqrt 1) 9.483 * * [simplify]: iters left: 1 (2 enodes) 9.485 * * [simplify]: Extracting #0: cost 1 inf + 0 9.485 * * [simplify]: Extracting #1: cost 0 inf + 1 9.485 * [simplify]: Simplified to 1 9.485 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (* 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 9.485 * * * * [progress]: [ 26 / 110 ] simplifiying candidate # 9.486 * [simplify]: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) 9.486 * * [simplify]: iters left: 6 (9 enodes) 9.488 * * [simplify]: iters left: 5 (45 enodes) 9.499 * * [simplify]: iters left: 4 (100 enodes) 9.546 * * [simplify]: iters left: 3 (201 enodes) 9.619 * * [simplify]: iters left: 2 (406 enodes) 9.776 * * [simplify]: Extracting #0: cost 1 inf + 0 9.776 * * [simplify]: Extracting #1: cost 3 inf + 0 9.776 * * [simplify]: Extracting #2: cost 6 inf + 0 9.776 * * [simplify]: Extracting #3: cost 62 inf + 0 9.777 * * [simplify]: Extracting #4: cost 166 inf + 460 9.780 * * [simplify]: Extracting #5: cost 131 inf + 12951 9.787 * * [simplify]: Extracting #6: cost 49 inf + 45746 9.798 * * [simplify]: Extracting #7: cost 1 inf + 66256 9.809 * * [simplify]: Extracting #8: cost 0 inf + 65919 9.820 * [simplify]: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) 9.820 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (/ (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) 9.820 * * * * [progress]: [ 27 / 110 ] simplifiying candidate # 9.821 * [simplify]: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) 9.821 * * [simplify]: iters left: 6 (8 enodes) 9.825 * * [simplify]: iters left: 5 (37 enodes) 9.838 * * [simplify]: iters left: 4 (67 enodes) 9.866 * * [simplify]: iters left: 3 (123 enodes) 9.894 * * [simplify]: iters left: 2 (278 enodes) 9.998 * * [simplify]: Extracting #0: cost 1 inf + 0 9.998 * * [simplify]: Extracting #1: cost 3 inf + 0 9.998 * * [simplify]: Extracting #2: cost 50 inf + 0 9.999 * * [simplify]: Extracting #3: cost 150 inf + 0 9.999 * * [simplify]: Extracting #4: cost 194 inf + 1180 10.002 * * [simplify]: Extracting #5: cost 123 inf + 12421 10.011 * * [simplify]: Extracting #6: cost 12 inf + 33804 10.018 * * [simplify]: Extracting #7: cost 0 inf + 36129 10.026 * [simplify]: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) 10.026 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 10.027 * * * * [progress]: [ 28 / 110 ] simplifiying candidate # 10.027 * [simplify]: Simplifying (+ (* c c) (* d d)) 10.027 * * [simplify]: iters left: 4 (5 enodes) 10.028 * * [simplify]: iters left: 3 (16 enodes) 10.030 * * [simplify]: Extracting #0: cost 1 inf + 0 10.030 * * [simplify]: Extracting #1: cost 4 inf + 0 10.030 * * [simplify]: Extracting #2: cost 8 inf + 0 10.030 * * [simplify]: Extracting #3: cost 4 inf + 84 10.030 * * [simplify]: Extracting #4: cost 0 inf + 410 10.030 * [simplify]: Simplified to (+ (* c c) (* d d)) 10.030 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (pow (+ (* c c) (* d d)) (/ 1 2)))) (sqrt (+ (* c c) (* d d))))) 10.030 * * * * [progress]: [ 29 / 110 ] simplifiying candidate # 10.031 * * * * [progress]: [ 30 / 110 ] simplifiying candidate # 10.031 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d))) 10.031 * * [simplify]: iters left: 5 (6 enodes) 10.032 * * [simplify]: iters left: 4 (19 enodes) 10.034 * * [simplify]: Extracting #0: cost 1 inf + 0 10.034 * * [simplify]: Extracting #1: cost 3 inf + 0 10.034 * * [simplify]: Extracting #2: cost 6 inf + 0 10.035 * * [simplify]: Extracting #3: cost 10 inf + 0 10.035 * * [simplify]: Extracting #4: cost 6 inf + 84 10.035 * * [simplify]: Extracting #5: cost 0 inf + 734 10.035 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d))) 10.035 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (fabs (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 10.035 * * * * [progress]: [ 31 / 110 ] simplifiying candidate # 10.035 * * * * [progress]: [ 32 / 110 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))> 10.035 * * * * [progress]: [ 33 / 110 ] simplifiying candidate # 10.035 * [simplify]: Simplifying (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) 10.035 * * [simplify]: iters left: 6 (14 enodes) 10.039 * * [simplify]: iters left: 5 (51 enodes) 10.047 * * [simplify]: iters left: 4 (65 enodes) 10.058 * * [simplify]: iters left: 3 (110 enodes) 10.077 * * [simplify]: iters left: 2 (164 enodes) 10.105 * * [simplify]: iters left: 1 (193 enodes) 10.144 * * [simplify]: Extracting #0: cost 1 inf + 0 10.144 * * [simplify]: Extracting #1: cost 9 inf + 0 10.144 * * [simplify]: Extracting #2: cost 35 inf + 1 10.145 * * [simplify]: Extracting #3: cost 45 inf + 47 10.145 * * [simplify]: Extracting #4: cost 40 inf + 503 10.147 * * [simplify]: Extracting #5: cost 18 inf + 4920 10.151 * * [simplify]: Extracting #6: cost 1 inf + 8769 10.156 * * [simplify]: Extracting #7: cost 0 inf + 9013 10.160 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) 10.160 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (pow (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) 1) (sqrt (+ (* c c) (* d d))))) 10.161 * * * * [progress]: [ 34 / 110 ] simplifiying candidate # 10.161 * * * * [progress]: [ 35 / 110 ] simplifiying candidate # 10.161 * [simplify]: Simplifying (+ (log (+ (* a c) (* b d))) (- (log (sqrt (+ (* c c) (* d d)))))) 10.161 * * [simplify]: iters left: 6 (15 enodes) 10.167 * * [simplify]: iters left: 5 (51 enodes) 10.179 * * [simplify]: Extracting #0: cost 1 inf + 0 10.180 * * [simplify]: Extracting #1: cost 5 inf + 0 10.180 * * [simplify]: Extracting #2: cost 10 inf + 0 10.180 * * [simplify]: Extracting #3: cost 15 inf + 0 10.180 * * [simplify]: Extracting #4: cost 24 inf + 0 10.180 * * [simplify]: Extracting #5: cost 20 inf + 87 10.180 * * [simplify]: Extracting #6: cost 12 inf + 737 10.180 * * [simplify]: Extracting #7: cost 5 inf + 1882 10.181 * * [simplify]: Extracting #8: cost 0 inf + 3476 10.181 * [simplify]: Simplified to (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* c c) (* d d))))) 10.181 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (exp (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 10.181 * * * * [progress]: [ 36 / 110 ] simplifiying candidate # 10.182 * [simplify]: Simplifying (+ (log (+ (* a c) (* b d))) (- 0 (log (sqrt (+ (* c c) (* d d)))))) 10.182 * * [simplify]: iters left: 6 (16 enodes) 10.186 * * [simplify]: iters left: 5 (57 enodes) 10.196 * * [simplify]: iters left: 4 (65 enodes) 10.205 * * [simplify]: iters left: 3 (75 enodes) 10.216 * * [simplify]: iters left: 2 (88 enodes) 10.228 * * [simplify]: iters left: 1 (90 enodes) 10.239 * * [simplify]: Extracting #0: cost 1 inf + 0 10.239 * * [simplify]: Extracting #1: cost 8 inf + 0 10.240 * * [simplify]: Extracting #2: cost 15 inf + 1 10.240 * * [simplify]: Extracting #3: cost 20 inf + 1 10.240 * * [simplify]: Extracting #4: cost 29 inf + 1 10.240 * * [simplify]: Extracting #5: cost 25 inf + 88 10.240 * * [simplify]: Extracting #6: cost 13 inf + 1295 10.241 * * [simplify]: Extracting #7: cost 2 inf + 4218 10.242 * * [simplify]: Extracting #8: cost 0 inf + 5146 10.243 * [simplify]: Simplified to (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* d d) (* c c))))) 10.243 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (exp (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* d d) (* c c)))))) (sqrt (+ (* c c) (* d d))))) 10.243 * * * * [progress]: [ 37 / 110 ] simplifiying candidate # 10.244 * [simplify]: Simplifying (+ (log (+ (* a c) (* b d))) (- (log 1) (log (sqrt (+ (* c c) (* d d)))))) 10.244 * * [simplify]: iters left: 6 (17 enodes) 10.248 * * [simplify]: iters left: 5 (62 enodes) 10.257 * * [simplify]: iters left: 4 (65 enodes) 10.276 * * [simplify]: iters left: 3 (73 enodes) 10.296 * * [simplify]: iters left: 2 (83 enodes) 10.317 * * [simplify]: iters left: 1 (96 enodes) 10.330 * * [simplify]: Extracting #0: cost 1 inf + 0 10.330 * * [simplify]: Extracting #1: cost 9 inf + 0 10.330 * * [simplify]: Extracting #2: cost 15 inf + 1 10.330 * * [simplify]: Extracting #3: cost 20 inf + 1 10.330 * * [simplify]: Extracting #4: cost 29 inf + 1 10.330 * * [simplify]: Extracting #5: cost 25 inf + 89 10.330 * * [simplify]: Extracting #6: cost 12 inf + 1684 10.331 * * [simplify]: Extracting #7: cost 2 inf + 4412 10.332 * * [simplify]: Extracting #8: cost 0 inf + 5148 10.333 * [simplify]: Simplified to (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* d d) (* c c))))) 10.333 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (exp (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* d d) (* c c)))))) (sqrt (+ (* c c) (* d d))))) 10.333 * * * * [progress]: [ 38 / 110 ] simplifiying candidate # 10.334 * [simplify]: Simplifying (+ (log (+ (* a c) (* b d))) (log (/ 1 (sqrt (+ (* c c) (* d d)))))) 10.334 * * [simplify]: iters left: 6 (16 enodes) 10.338 * * [simplify]: iters left: 5 (59 enodes) 10.346 * * [simplify]: iters left: 4 (64 enodes) 10.355 * * [simplify]: iters left: 3 (68 enodes) 10.364 * * [simplify]: iters left: 2 (74 enodes) 10.387 * * [simplify]: iters left: 1 (95 enodes) 10.415 * * [simplify]: Extracting #0: cost 1 inf + 0 10.415 * * [simplify]: Extracting #1: cost 9 inf + 0 10.415 * * [simplify]: Extracting #2: cost 16 inf + 1 10.415 * * [simplify]: Extracting #3: cost 23 inf + 1 10.415 * * [simplify]: Extracting #4: cost 31 inf + 2 10.416 * * [simplify]: Extracting #5: cost 28 inf + 48 10.416 * * [simplify]: Extracting #6: cost 11 inf + 1979 10.418 * * [simplify]: Extracting #7: cost 2 inf + 4711 10.420 * * [simplify]: Extracting #8: cost 0 inf + 5555 10.423 * [simplify]: Simplified to (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* d d) (* c c))))) 10.423 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (exp (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* d d) (* c c)))))) (sqrt (+ (* c c) (* d d))))) 10.423 * * * * [progress]: [ 39 / 110 ] simplifiying candidate # 10.423 * * * * [progress]: [ 40 / 110 ] simplifiying candidate # 10.423 * * * * [progress]: [ 41 / 110 ] simplifiying candidate # 10.423 * [simplify]: Simplifying (* (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (/ (* (* 1 1) 1) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) 10.424 * * [simplify]: iters left: 6 (20 enodes) 10.434 * * [simplify]: iters left: 5 (84 enodes) 10.463 * * [simplify]: iters left: 4 (263 enodes) 10.595 * * [simplify]: Extracting #0: cost 1 inf + 0 10.595 * * [simplify]: Extracting #1: cost 41 inf + 0 10.596 * * [simplify]: Extracting #2: cost 195 inf + 1 10.598 * * [simplify]: Extracting #3: cost 286 inf + 3108 10.607 * * [simplify]: Extracting #4: cost 117 inf + 42489 10.624 * * [simplify]: Extracting #5: cost 7 inf + 78990 10.644 * * [simplify]: Extracting #6: cost 0 inf + 81419 10.666 * [simplify]: Simplified to (/ (/ (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) 10.666 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (cbrt (/ (/ (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 10.666 * * * * [progress]: [ 42 / 110 ] simplifiying candidate # 10.666 * [simplify]: Simplifying (* (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d))))) (/ 1 (sqrt (+ (* c c) (* d d)))))) 10.666 * * [simplify]: iters left: 6 (18 enodes) 10.671 * * [simplify]: iters left: 5 (85 enodes) 10.690 * * [simplify]: iters left: 4 (239 enodes) 10.800 * * [simplify]: Extracting #0: cost 1 inf + 0 10.801 * * [simplify]: Extracting #1: cost 28 inf + 0 10.801 * * [simplify]: Extracting #2: cost 136 inf + 1 10.802 * * [simplify]: Extracting #3: cost 237 inf + 746 10.808 * * [simplify]: Extracting #4: cost 88 inf + 34532 10.823 * * [simplify]: Extracting #5: cost 3 inf + 64233 10.843 * * [simplify]: Extracting #6: cost 0 inf + 65408 10.860 * [simplify]: Simplified to (* (/ (* (+ (* b d) (* a c)) 1) (sqrt (+ (* d d) (* c c)))) (* (/ (* (+ (* b d) (* a c)) 1) (sqrt (+ (* d d) (* c c)))) (/ (* (+ (* b d) (* a c)) 1) (sqrt (+ (* d d) (* c c)))))) 10.860 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (cbrt (* (/ (* (+ (* b d) (* a c)) 1) (sqrt (+ (* d d) (* c c)))) (* (/ (* (+ (* b d) (* a c)) 1) (sqrt (+ (* d d) (* c c)))) (/ (* (+ (* b d) (* a c)) 1) (sqrt (+ (* d d) (* c c))))))) (sqrt (+ (* c c) (* d d))))) 10.860 * * * * [progress]: [ 43 / 110 ] simplifiying candidate # 10.860 * * * * [progress]: [ 44 / 110 ] simplifiying candidate # 10.860 * * * * [progress]: [ 45 / 110 ] simplifiying candidate # 10.860 * * * * [progress]: [ 46 / 110 ] simplifiying candidate # 10.860 * [simplify]: Simplifying (* (+ (pow (* a c) 3) (pow (* b d) 3)) 1) 10.861 * * [simplify]: iters left: 6 (12 enodes) 10.865 * * [simplify]: iters left: 5 (59 enodes) 10.879 * * [simplify]: iters left: 4 (164 enodes) 10.926 * * [simplify]: iters left: 3 (423 enodes) 11.132 * * [simplify]: Extracting #0: cost 1 inf + 0 11.132 * * [simplify]: Extracting #1: cost 5 inf + 0 11.132 * * [simplify]: Extracting #2: cost 82 inf + 1 11.133 * * [simplify]: Extracting #3: cost 191 inf + 978 11.134 * * [simplify]: Extracting #4: cost 138 inf + 8904 11.138 * * [simplify]: Extracting #5: cost 40 inf + 32744 11.144 * * [simplify]: Extracting #6: cost 5 inf + 46567 11.154 * * [simplify]: Extracting #7: cost 0 inf + 48694 11.165 * [simplify]: Simplified to (+ (* (* (* b d) (* b d)) (* b d)) (* (* a c) (* (* a c) (* a c)))) 11.165 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (/ (+ (* (* (* b d) (* b d)) (* b d)) (* (* a c) (* (* a c) (* a c)))) (* (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 11.166 * [simplify]: Simplifying (* (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))) 11.166 * * [simplify]: iters left: 6 (16 enodes) 11.175 * * [simplify]: iters left: 5 (76 enodes) 11.203 * * [simplify]: iters left: 4 (176 enodes) 11.281 * * [simplify]: iters left: 3 (415 enodes) 11.413 * * [simplify]: Extracting #0: cost 1 inf + 0 11.413 * * [simplify]: Extracting #1: cost 10 inf + 0 11.413 * * [simplify]: Extracting #2: cost 119 inf + 0 11.414 * * [simplify]: Extracting #3: cost 187 inf + 1194 11.417 * * [simplify]: Extracting #4: cost 100 inf + 15287 11.426 * * [simplify]: Extracting #5: cost 3 inf + 36500 11.442 * * [simplify]: Extracting #6: cost 0 inf + 37312 11.460 * [simplify]: Simplified to (* (sqrt (+ (* d d) (* c c))) (+ (* (* a c) (* a c)) (* (* b d) (- (* b d) (* a c))))) 11.460 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ (+ (* (* (* b d) (* b d)) (* b d)) (* (* a c) (* (* a c) (* a c)))) (* (sqrt (+ (* d d) (* c c))) (+ (* (* a c) (* a c)) (* (* b d) (- (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d))))) 11.460 * * * * [progress]: [ 47 / 110 ] simplifiying candidate # 11.461 * [simplify]: Simplifying (* (- (* (* a c) (* a c)) (* (* b d) (* b d))) 1) 11.461 * * [simplify]: iters left: 6 (11 enodes) 11.465 * * [simplify]: iters left: 5 (55 enodes) 11.476 * * [simplify]: iters left: 4 (131 enodes) 11.524 * * [simplify]: iters left: 3 (267 enodes) 11.603 * * [simplify]: iters left: 2 (377 enodes) 11.731 * * [simplify]: Extracting #0: cost 1 inf + 0 11.731 * * [simplify]: Extracting #1: cost 22 inf + 0 11.731 * * [simplify]: Extracting #2: cost 86 inf + 1 11.733 * * [simplify]: Extracting #3: cost 91 inf + 1071 11.739 * * [simplify]: Extracting #4: cost 41 inf + 6689 11.747 * * [simplify]: Extracting #5: cost 0 inf + 13674 11.755 * [simplify]: Simplified to (* (+ (* a c) (* b d)) (- (* a c) (* b d))) 11.755 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (/ (* (+ (* a c) (* b d)) (- (* a c) (* b d))) (* (- (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 11.756 * [simplify]: Simplifying (* (- (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) 11.756 * * [simplify]: iters left: 6 (12 enodes) 11.761 * * [simplify]: iters left: 5 (42 enodes) 11.774 * * [simplify]: iters left: 4 (57 enodes) 11.792 * * [simplify]: iters left: 3 (99 enodes) 11.825 * * [simplify]: iters left: 2 (144 enodes) 11.843 * * [simplify]: iters left: 1 (150 enodes) 11.865 * * [simplify]: Extracting #0: cost 1 inf + 0 11.865 * * [simplify]: Extracting #1: cost 7 inf + 0 11.865 * * [simplify]: Extracting #2: cost 29 inf + 0 11.866 * * [simplify]: Extracting #3: cost 37 inf + 169 11.866 * * [simplify]: Extracting #4: cost 26 inf + 1074 11.868 * * [simplify]: Extracting #5: cost 9 inf + 4556 11.870 * * [simplify]: Extracting #6: cost 0 inf + 6660 11.872 * [simplify]: Simplified to (* (sqrt (+ (* c c) (* d d))) (- (* a c) (* b d))) 11.872 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ (* (+ (* a c) (* b d)) (- (* a c) (* b d))) (* (sqrt (+ (* c c) (* d d))) (- (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))) 11.872 * * * * [progress]: [ 48 / 110 ] simplifiying candidate # 11.872 * * * * [progress]: [ 49 / 110 ] simplifiying candidate # 11.872 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d))) 11.872 * * [simplify]: iters left: 5 (6 enodes) 11.874 * * [simplify]: iters left: 4 (19 enodes) 11.876 * * [simplify]: Extracting #0: cost 1 inf + 0 11.876 * * [simplify]: Extracting #1: cost 3 inf + 0 11.876 * * [simplify]: Extracting #2: cost 6 inf + 0 11.876 * * [simplify]: Extracting #3: cost 10 inf + 0 11.876 * * [simplify]: Extracting #4: cost 6 inf + 84 11.876 * * [simplify]: Extracting #5: cost 0 inf + 734 11.877 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d))) 11.877 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) 11.877 * * * * [progress]: [ 50 / 110 ] simplifiying candidate # 11.877 * [simplify]: Simplifying (* (sqrt (+ (* a c) (* b d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) 11.877 * * [simplify]: iters left: 6 (16 enodes) 11.881 * * [simplify]: iters left: 5 (55 enodes) 11.889 * * [simplify]: iters left: 4 (57 enodes) 11.897 * * [simplify]: Extracting #0: cost 1 inf + 0 11.897 * * [simplify]: Extracting #1: cost 4 inf + 0 11.897 * * [simplify]: Extracting #2: cost 8 inf + 0 11.897 * * [simplify]: Extracting #3: cost 14 inf + 0 11.897 * * [simplify]: Extracting #4: cost 21 inf + 1 11.897 * * [simplify]: Extracting #5: cost 19 inf + 47 11.897 * * [simplify]: Extracting #6: cost 12 inf + 831 11.898 * * [simplify]: Extracting #7: cost 5 inf + 1684 11.899 * * [simplify]: Extracting #8: cost 0 inf + 3263 11.900 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (+ (* b d) (* a c)))) 11.900 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (+ (* b d) (* a c)))) (* (sqrt (+ (* a c) (* b d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) 11.901 * [simplify]: Simplifying (* (sqrt (+ (* a c) (* b d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) 11.901 * * [simplify]: iters left: 6 (16 enodes) 11.908 * * [simplify]: iters left: 5 (55 enodes) 11.919 * * [simplify]: iters left: 4 (57 enodes) 11.927 * * [simplify]: Extracting #0: cost 1 inf + 0 11.927 * * [simplify]: Extracting #1: cost 4 inf + 0 11.927 * * [simplify]: Extracting #2: cost 8 inf + 0 11.927 * * [simplify]: Extracting #3: cost 14 inf + 0 11.927 * * [simplify]: Extracting #4: cost 21 inf + 1 11.927 * * [simplify]: Extracting #5: cost 19 inf + 47 11.927 * * [simplify]: Extracting #6: cost 12 inf + 831 11.928 * * [simplify]: Extracting #7: cost 5 inf + 1684 11.928 * * [simplify]: Extracting #8: cost 0 inf + 3263 11.929 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (+ (* b d) (* a c)))) 11.929 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (sqrt (+ (* a c) (* b d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (* (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d))))) 11.929 * * * * [progress]: [ 51 / 110 ] simplifiying candidate # 11.929 * [simplify]: Simplifying (* (sqrt (+ (* a c) (* b d))) (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d)))))) 11.929 * * [simplify]: iters left: 6 (17 enodes) 11.934 * * [simplify]: iters left: 5 (60 enodes) 11.944 * * [simplify]: iters left: 4 (68 enodes) 11.959 * * [simplify]: iters left: 3 (73 enodes) 11.969 * * [simplify]: iters left: 2 (77 enodes) 11.979 * * [simplify]: iters left: 1 (81 enodes) 11.996 * * [simplify]: Extracting #0: cost 1 inf + 0 11.996 * * [simplify]: Extracting #1: cost 7 inf + 0 11.996 * * [simplify]: Extracting #2: cost 12 inf + 1 11.996 * * [simplify]: Extracting #3: cost 17 inf + 1 11.996 * * [simplify]: Extracting #4: cost 26 inf + 1 11.997 * * [simplify]: Extracting #5: cost 23 inf + 47 11.997 * * [simplify]: Extracting #6: cost 10 inf + 1197 11.998 * * [simplify]: Extracting #7: cost 0 inf + 3987 12.000 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) 12.000 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (sqrt (+ (* a c) (* b d))) (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) 12.000 * [simplify]: Simplifying (* (sqrt (+ (* a c) (* b d))) (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d)))))) 12.001 * * [simplify]: iters left: 6 (17 enodes) 12.009 * * [simplify]: iters left: 5 (60 enodes) 12.021 * * [simplify]: iters left: 4 (68 enodes) 12.031 * * [simplify]: iters left: 3 (73 enodes) 12.041 * * [simplify]: iters left: 2 (77 enodes) 12.058 * * [simplify]: iters left: 1 (81 enodes) 12.077 * * [simplify]: Extracting #0: cost 1 inf + 0 12.077 * * [simplify]: Extracting #1: cost 7 inf + 0 12.077 * * [simplify]: Extracting #2: cost 12 inf + 1 12.077 * * [simplify]: Extracting #3: cost 17 inf + 1 12.077 * * [simplify]: Extracting #4: cost 26 inf + 1 12.077 * * [simplify]: Extracting #5: cost 23 inf + 47 12.078 * * [simplify]: Extracting #6: cost 10 inf + 1197 12.079 * * [simplify]: Extracting #7: cost 0 inf + 3987 12.080 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) 12.081 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (sqrt (+ (* a c) (* b d))) (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (+ (* c c) (* d d))))) 12.081 * * * * [progress]: [ 52 / 110 ] simplifiying candidate # 12.081 * [simplify]: Simplifying (* (sqrt (+ (* a c) (* b d))) (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d)))))) 12.081 * * [simplify]: iters left: 6 (17 enodes) 12.089 * * [simplify]: iters left: 5 (60 enodes) 12.100 * * [simplify]: iters left: 4 (68 enodes) 12.110 * * [simplify]: iters left: 3 (73 enodes) 12.120 * * [simplify]: iters left: 2 (77 enodes) 12.130 * * [simplify]: iters left: 1 (81 enodes) 12.141 * * [simplify]: Extracting #0: cost 1 inf + 0 12.141 * * [simplify]: Extracting #1: cost 7 inf + 0 12.141 * * [simplify]: Extracting #2: cost 12 inf + 1 12.141 * * [simplify]: Extracting #3: cost 17 inf + 1 12.141 * * [simplify]: Extracting #4: cost 26 inf + 1 12.141 * * [simplify]: Extracting #5: cost 23 inf + 47 12.141 * * [simplify]: Extracting #6: cost 10 inf + 1197 12.142 * * [simplify]: Extracting #7: cost 0 inf + 3987 12.143 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) 12.143 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (sqrt (+ (* a c) (* b d))) (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) 12.143 * [simplify]: Simplifying (* (sqrt (+ (* a c) (* b d))) (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d)))))) 12.143 * * [simplify]: iters left: 6 (17 enodes) 12.147 * * [simplify]: iters left: 5 (60 enodes) 12.161 * * [simplify]: iters left: 4 (68 enodes) 12.179 * * [simplify]: iters left: 3 (73 enodes) 12.190 * * [simplify]: iters left: 2 (77 enodes) 12.200 * * [simplify]: iters left: 1 (81 enodes) 12.210 * * [simplify]: Extracting #0: cost 1 inf + 0 12.210 * * [simplify]: Extracting #1: cost 7 inf + 0 12.210 * * [simplify]: Extracting #2: cost 12 inf + 1 12.210 * * [simplify]: Extracting #3: cost 17 inf + 1 12.210 * * [simplify]: Extracting #4: cost 26 inf + 1 12.210 * * [simplify]: Extracting #5: cost 23 inf + 47 12.210 * * [simplify]: Extracting #6: cost 10 inf + 1197 12.211 * * [simplify]: Extracting #7: cost 0 inf + 3987 12.212 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) 12.212 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (sqrt (+ (* a c) (* b d))) (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (+ (* c c) (* d d))))) 12.212 * * * * [progress]: [ 53 / 110 ] simplifiying candidate # 12.212 * [simplify]: Simplifying (* (sqrt (+ (* a c) (* b d))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) 12.212 * * [simplify]: iters left: 6 (16 enodes) 12.219 * * [simplify]: iters left: 5 (57 enodes) 12.235 * * [simplify]: iters left: 4 (63 enodes) 12.253 * * [simplify]: iters left: 3 (72 enodes) 12.273 * * [simplify]: iters left: 2 (74 enodes) 12.283 * * [simplify]: iters left: 1 (77 enodes) 12.293 * * [simplify]: Extracting #0: cost 1 inf + 0 12.293 * * [simplify]: Extracting #1: cost 7 inf + 0 12.293 * * [simplify]: Extracting #2: cost 12 inf + 1 12.293 * * [simplify]: Extracting #3: cost 17 inf + 1 12.293 * * [simplify]: Extracting #4: cost 26 inf + 1 12.293 * * [simplify]: Extracting #5: cost 22 inf + 88 12.293 * * [simplify]: Extracting #6: cost 10 inf + 1235 12.294 * * [simplify]: Extracting #7: cost 2 inf + 3179 12.295 * * [simplify]: Extracting #8: cost 0 inf + 3987 12.295 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) 12.295 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (sqrt (+ (* a c) (* b d))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) 12.296 * [simplify]: Simplifying (* (sqrt (+ (* a c) (* b d))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) 12.296 * * [simplify]: iters left: 6 (16 enodes) 12.299 * * [simplify]: iters left: 5 (57 enodes) 12.309 * * [simplify]: iters left: 4 (63 enodes) 12.327 * * [simplify]: iters left: 3 (72 enodes) 12.336 * * [simplify]: iters left: 2 (74 enodes) 12.346 * * [simplify]: iters left: 1 (77 enodes) 12.357 * * [simplify]: Extracting #0: cost 1 inf + 0 12.357 * * [simplify]: Extracting #1: cost 7 inf + 0 12.357 * * [simplify]: Extracting #2: cost 12 inf + 1 12.357 * * [simplify]: Extracting #3: cost 17 inf + 1 12.357 * * [simplify]: Extracting #4: cost 26 inf + 1 12.357 * * [simplify]: Extracting #5: cost 22 inf + 88 12.358 * * [simplify]: Extracting #6: cost 10 inf + 1235 12.358 * * [simplify]: Extracting #7: cost 2 inf + 3179 12.359 * * [simplify]: Extracting #8: cost 0 inf + 3987 12.360 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) 12.360 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (sqrt (+ (* a c) (* b d))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (+ (* c c) (* d d))))) 12.360 * * * * [progress]: [ 54 / 110 ] simplifiying candidate # 12.360 * [simplify]: Simplifying (* (sqrt (+ (* a c) (* b d))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) 12.360 * * [simplify]: iters left: 6 (16 enodes) 12.366 * * [simplify]: iters left: 5 (57 enodes) 12.382 * * [simplify]: iters left: 4 (63 enodes) 12.401 * * [simplify]: iters left: 3 (72 enodes) 12.420 * * [simplify]: iters left: 2 (74 enodes) 12.440 * * [simplify]: iters left: 1 (77 enodes) 12.459 * * [simplify]: Extracting #0: cost 1 inf + 0 12.459 * * [simplify]: Extracting #1: cost 7 inf + 0 12.459 * * [simplify]: Extracting #2: cost 12 inf + 1 12.459 * * [simplify]: Extracting #3: cost 17 inf + 1 12.459 * * [simplify]: Extracting #4: cost 26 inf + 1 12.459 * * [simplify]: Extracting #5: cost 22 inf + 88 12.460 * * [simplify]: Extracting #6: cost 10 inf + 1235 12.461 * * [simplify]: Extracting #7: cost 2 inf + 3179 12.462 * * [simplify]: Extracting #8: cost 0 inf + 3987 12.464 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) 12.464 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (sqrt (+ (* a c) (* b d))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) 12.464 * [simplify]: Simplifying (* (sqrt (+ (* a c) (* b d))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) 12.465 * * [simplify]: iters left: 6 (16 enodes) 12.472 * * [simplify]: iters left: 5 (57 enodes) 12.489 * * [simplify]: iters left: 4 (63 enodes) 12.502 * * [simplify]: iters left: 3 (72 enodes) 12.513 * * [simplify]: iters left: 2 (74 enodes) 12.523 * * [simplify]: iters left: 1 (77 enodes) 12.538 * * [simplify]: Extracting #0: cost 1 inf + 0 12.539 * * [simplify]: Extracting #1: cost 7 inf + 0 12.539 * * [simplify]: Extracting #2: cost 12 inf + 1 12.539 * * [simplify]: Extracting #3: cost 17 inf + 1 12.539 * * [simplify]: Extracting #4: cost 26 inf + 1 12.539 * * [simplify]: Extracting #5: cost 22 inf + 88 12.539 * * [simplify]: Extracting #6: cost 10 inf + 1235 12.540 * * [simplify]: Extracting #7: cost 2 inf + 3179 12.542 * * [simplify]: Extracting #8: cost 0 inf + 3987 12.543 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) 12.543 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (sqrt (+ (* a c) (* b d))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (+ (* c c) (* d d))))) 12.543 * * * * [progress]: [ 55 / 110 ] simplifiying candidate # 12.543 * [simplify]: Simplifying (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) 12.543 * * [simplify]: iters left: 6 (9 enodes) 12.545 * * [simplify]: iters left: 5 (30 enodes) 12.550 * * [simplify]: iters left: 4 (32 enodes) 12.556 * * [simplify]: Extracting #0: cost 1 inf + 0 12.556 * * [simplify]: Extracting #1: cost 3 inf + 0 12.556 * * [simplify]: Extracting #2: cost 6 inf + 0 12.556 * * [simplify]: Extracting #3: cost 7 inf + 1 12.556 * * [simplify]: Extracting #4: cost 10 inf + 1 12.556 * * [simplify]: Extracting #5: cost 14 inf + 1 12.556 * * [simplify]: Extracting #6: cost 12 inf + 3 12.556 * * [simplify]: Extracting #7: cost 8 inf + 248 12.556 * * [simplify]: Extracting #8: cost 4 inf + 776 12.556 * * [simplify]: Extracting #9: cost 0 inf + 1707 12.557 * [simplify]: Simplified to (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) 12.557 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 12.557 * * * * [progress]: [ 56 / 110 ] simplifiying candidate # 12.557 * [simplify]: Simplifying (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) 12.557 * * [simplify]: iters left: 6 (9 enodes) 12.559 * * [simplify]: iters left: 5 (30 enodes) 12.564 * * [simplify]: iters left: 4 (32 enodes) 12.569 * * [simplify]: Extracting #0: cost 1 inf + 0 12.569 * * [simplify]: Extracting #1: cost 3 inf + 0 12.569 * * [simplify]: Extracting #2: cost 6 inf + 0 12.569 * * [simplify]: Extracting #3: cost 7 inf + 1 12.569 * * [simplify]: Extracting #4: cost 10 inf + 1 12.569 * * [simplify]: Extracting #5: cost 14 inf + 1 12.569 * * [simplify]: Extracting #6: cost 12 inf + 3 12.569 * * [simplify]: Extracting #7: cost 8 inf + 248 12.570 * * [simplify]: Extracting #8: cost 4 inf + 776 12.570 * * [simplify]: Extracting #9: cost 0 inf + 1627 12.570 * [simplify]: Simplified to (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) 12.570 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 12.570 * * * * [progress]: [ 57 / 110 ] simplifiying candidate # 12.570 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (sqrt (+ (* c c) (* d d))))) 12.570 * * [simplify]: iters left: 6 (10 enodes) 12.573 * * [simplify]: iters left: 5 (33 enodes) 12.583 * * [simplify]: iters left: 4 (35 enodes) 12.593 * * [simplify]: Extracting #0: cost 1 inf + 0 12.593 * * [simplify]: Extracting #1: cost 4 inf + 0 12.593 * * [simplify]: Extracting #2: cost 5 inf + 1 12.593 * * [simplify]: Extracting #3: cost 7 inf + 1 12.593 * * [simplify]: Extracting #4: cost 10 inf + 1 12.593 * * [simplify]: Extracting #5: cost 14 inf + 1 12.593 * * [simplify]: Extracting #6: cost 10 inf + 85 12.593 * * [simplify]: Extracting #7: cost 4 inf + 735 12.594 * * [simplify]: Extracting #8: cost 0 inf + 1785 12.594 * [simplify]: Simplified to (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) 12.595 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ 1 (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 12.595 * * * * [progress]: [ 58 / 110 ] simplifiying candidate # 12.595 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (cbrt (+ (* c c) (* d d))))) 12.595 * * [simplify]: iters left: 6 (10 enodes) 12.601 * * [simplify]: iters left: 5 (33 enodes) 12.609 * * [simplify]: iters left: 4 (35 enodes) 12.615 * * [simplify]: Extracting #0: cost 1 inf + 0 12.615 * * [simplify]: Extracting #1: cost 4 inf + 0 12.615 * * [simplify]: Extracting #2: cost 5 inf + 1 12.615 * * [simplify]: Extracting #3: cost 7 inf + 1 12.615 * * [simplify]: Extracting #4: cost 10 inf + 1 12.615 * * [simplify]: Extracting #5: cost 14 inf + 1 12.615 * * [simplify]: Extracting #6: cost 10 inf + 85 12.615 * * [simplify]: Extracting #7: cost 4 inf + 815 12.615 * * [simplify]: Extracting #8: cost 0 inf + 1865 12.616 * [simplify]: Simplified to (/ 1 (sqrt (cbrt (+ (* c c) (* d d))))) 12.616 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (/ 1 (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 12.616 * * * * [progress]: [ 59 / 110 ] simplifiying candidate # 12.616 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt (+ (* c c) (* d d))))) 12.616 * * [simplify]: iters left: 6 (10 enodes) 12.620 * * [simplify]: iters left: 5 (33 enodes) 12.625 * * [simplify]: iters left: 4 (35 enodes) 12.630 * * [simplify]: Extracting #0: cost 1 inf + 0 12.630 * * [simplify]: Extracting #1: cost 4 inf + 0 12.630 * * [simplify]: Extracting #2: cost 5 inf + 1 12.630 * * [simplify]: Extracting #3: cost 7 inf + 1 12.630 * * [simplify]: Extracting #4: cost 10 inf + 1 12.630 * * [simplify]: Extracting #5: cost 14 inf + 1 12.630 * * [simplify]: Extracting #6: cost 10 inf + 85 12.630 * * [simplify]: Extracting #7: cost 4 inf + 735 12.630 * * [simplify]: Extracting #8: cost 0 inf + 1625 12.631 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 12.631 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 12.631 * * * * [progress]: [ 60 / 110 ] simplifiying candidate # 12.631 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (+ (* c c) (* d d)))) 12.631 * * [simplify]: iters left: 6 (9 enodes) 12.634 * * [simplify]: iters left: 5 (30 enodes) 12.642 * * [simplify]: iters left: 4 (32 enodes) 12.650 * * [simplify]: Extracting #0: cost 1 inf + 0 12.651 * * [simplify]: Extracting #1: cost 4 inf + 0 12.651 * * [simplify]: Extracting #2: cost 5 inf + 1 12.651 * * [simplify]: Extracting #3: cost 8 inf + 1 12.651 * * [simplify]: Extracting #4: cost 12 inf + 1 12.651 * * [simplify]: Extracting #5: cost 7 inf + 126 12.651 * * [simplify]: Extracting #6: cost 4 inf + 451 12.651 * * [simplify]: Extracting #7: cost 0 inf + 1141 12.652 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) 12.652 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 12.652 * * * * [progress]: [ 61 / 110 ] simplifiying candidate # 12.652 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (sqrt (+ (* c c) (* d d))))) 12.652 * * [simplify]: iters left: 6 (10 enodes) 12.658 * * [simplify]: iters left: 5 (33 enodes) 12.667 * * [simplify]: iters left: 4 (35 enodes) 12.675 * * [simplify]: Extracting #0: cost 1 inf + 0 12.676 * * [simplify]: Extracting #1: cost 4 inf + 0 12.676 * * [simplify]: Extracting #2: cost 5 inf + 1 12.676 * * [simplify]: Extracting #3: cost 7 inf + 1 12.676 * * [simplify]: Extracting #4: cost 10 inf + 1 12.676 * * [simplify]: Extracting #5: cost 14 inf + 1 12.676 * * [simplify]: Extracting #6: cost 10 inf + 85 12.676 * * [simplify]: Extracting #7: cost 4 inf + 735 12.676 * * [simplify]: Extracting #8: cost 0 inf + 1625 12.676 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 12.676 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 12.677 * * * * [progress]: [ 62 / 110 ] simplifiying candidate # 12.677 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (+ (* c c) (* d d)))) 12.677 * * [simplify]: iters left: 6 (9 enodes) 12.679 * * [simplify]: iters left: 5 (30 enodes) 12.684 * * [simplify]: iters left: 4 (32 enodes) 12.688 * * [simplify]: Extracting #0: cost 1 inf + 0 12.688 * * [simplify]: Extracting #1: cost 4 inf + 0 12.689 * * [simplify]: Extracting #2: cost 5 inf + 1 12.689 * * [simplify]: Extracting #3: cost 8 inf + 1 12.689 * * [simplify]: Extracting #4: cost 12 inf + 1 12.689 * * [simplify]: Extracting #5: cost 7 inf + 126 12.689 * * [simplify]: Extracting #6: cost 4 inf + 451 12.689 * * [simplify]: Extracting #7: cost 0 inf + 1141 12.689 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) 12.689 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 12.689 * * * * [progress]: [ 63 / 110 ] simplifiying candidate # 12.690 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (sqrt (+ (* c c) (* d d))))) 12.690 * * [simplify]: iters left: 6 (10 enodes) 12.692 * * [simplify]: iters left: 5 (33 enodes) 12.698 * * [simplify]: iters left: 4 (35 enodes) 12.702 * * [simplify]: Extracting #0: cost 1 inf + 0 12.703 * * [simplify]: Extracting #1: cost 4 inf + 0 12.703 * * [simplify]: Extracting #2: cost 5 inf + 1 12.703 * * [simplify]: Extracting #3: cost 7 inf + 1 12.703 * * [simplify]: Extracting #4: cost 10 inf + 1 12.703 * * [simplify]: Extracting #5: cost 14 inf + 1 12.703 * * [simplify]: Extracting #6: cost 10 inf + 85 12.703 * * [simplify]: Extracting #7: cost 4 inf + 735 12.703 * * [simplify]: Extracting #8: cost 0 inf + 1785 12.703 * [simplify]: Simplified to (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) 12.703 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (sqrt 1) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ 1 (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 12.704 * * * * [progress]: [ 64 / 110 ] simplifiying candidate # 12.704 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (cbrt (+ (* c c) (* d d))))) 12.704 * * [simplify]: iters left: 6 (10 enodes) 12.707 * * [simplify]: iters left: 5 (33 enodes) 12.716 * * [simplify]: iters left: 4 (35 enodes) 12.721 * * [simplify]: Extracting #0: cost 1 inf + 0 12.721 * * [simplify]: Extracting #1: cost 4 inf + 0 12.721 * * [simplify]: Extracting #2: cost 5 inf + 1 12.721 * * [simplify]: Extracting #3: cost 7 inf + 1 12.721 * * [simplify]: Extracting #4: cost 10 inf + 1 12.722 * * [simplify]: Extracting #5: cost 14 inf + 1 12.722 * * [simplify]: Extracting #6: cost 10 inf + 85 12.722 * * [simplify]: Extracting #7: cost 4 inf + 815 12.722 * * [simplify]: Extracting #8: cost 0 inf + 1865 12.722 * [simplify]: Simplified to (/ 1 (sqrt (cbrt (+ (* c c) (* d d))))) 12.722 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (sqrt 1) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (/ 1 (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 12.723 * * * * [progress]: [ 65 / 110 ] simplifiying candidate # 12.723 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d))))) 12.723 * * [simplify]: iters left: 6 (10 enodes) 12.725 * * [simplify]: iters left: 5 (33 enodes) 12.730 * * [simplify]: iters left: 4 (35 enodes) 12.736 * * [simplify]: Extracting #0: cost 1 inf + 0 12.736 * * [simplify]: Extracting #1: cost 4 inf + 0 12.736 * * [simplify]: Extracting #2: cost 5 inf + 1 12.736 * * [simplify]: Extracting #3: cost 7 inf + 1 12.736 * * [simplify]: Extracting #4: cost 10 inf + 1 12.736 * * [simplify]: Extracting #5: cost 14 inf + 1 12.736 * * [simplify]: Extracting #6: cost 10 inf + 85 12.736 * * [simplify]: Extracting #7: cost 4 inf + 735 12.736 * * [simplify]: Extracting #8: cost 0 inf + 1625 12.737 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 12.737 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 12.737 * * * * [progress]: [ 66 / 110 ] simplifiying candidate # 12.737 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ (* c c) (* d d)))) 12.737 * * [simplify]: iters left: 6 (9 enodes) 12.740 * * [simplify]: iters left: 5 (30 enodes) 12.746 * * [simplify]: iters left: 4 (32 enodes) 12.755 * * [simplify]: Extracting #0: cost 1 inf + 0 12.755 * * [simplify]: Extracting #1: cost 4 inf + 0 12.755 * * [simplify]: Extracting #2: cost 5 inf + 1 12.755 * * [simplify]: Extracting #3: cost 8 inf + 1 12.755 * * [simplify]: Extracting #4: cost 12 inf + 1 12.755 * * [simplify]: Extracting #5: cost 7 inf + 126 12.755 * * [simplify]: Extracting #6: cost 4 inf + 451 12.756 * * [simplify]: Extracting #7: cost 0 inf + 1141 12.756 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) 12.756 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (sqrt 1) (sqrt 1))) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 12.756 * * * * [progress]: [ 67 / 110 ] simplifiying candidate # 12.757 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d))))) 12.757 * * [simplify]: iters left: 6 (10 enodes) 12.762 * * [simplify]: iters left: 5 (33 enodes) 12.772 * * [simplify]: iters left: 4 (35 enodes) 12.781 * * [simplify]: Extracting #0: cost 1 inf + 0 12.781 * * [simplify]: Extracting #1: cost 4 inf + 0 12.782 * * [simplify]: Extracting #2: cost 5 inf + 1 12.782 * * [simplify]: Extracting #3: cost 7 inf + 1 12.782 * * [simplify]: Extracting #4: cost 10 inf + 1 12.782 * * [simplify]: Extracting #5: cost 14 inf + 1 12.782 * * [simplify]: Extracting #6: cost 10 inf + 85 12.782 * * [simplify]: Extracting #7: cost 4 inf + 735 12.783 * * [simplify]: Extracting #8: cost 0 inf + 1625 12.783 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 12.783 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (sqrt 1) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 12.783 * * * * [progress]: [ 68 / 110 ] simplifiying candidate # 12.784 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ (* c c) (* d d)))) 12.784 * * [simplify]: iters left: 6 (9 enodes) 12.789 * * [simplify]: iters left: 5 (30 enodes) 12.798 * * [simplify]: iters left: 4 (32 enodes) 12.807 * * [simplify]: Extracting #0: cost 1 inf + 0 12.807 * * [simplify]: Extracting #1: cost 4 inf + 0 12.807 * * [simplify]: Extracting #2: cost 5 inf + 1 12.807 * * [simplify]: Extracting #3: cost 8 inf + 1 12.807 * * [simplify]: Extracting #4: cost 12 inf + 1 12.808 * * [simplify]: Extracting #5: cost 7 inf + 126 12.808 * * [simplify]: Extracting #6: cost 4 inf + 451 12.808 * * [simplify]: Extracting #7: cost 0 inf + 1141 12.809 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) 12.809 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ (sqrt 1) 1)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 12.809 * * * * [progress]: [ 69 / 110 ] simplifiying candidate # 12.809 * [simplify]: Simplifying (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) 12.809 * * [simplify]: iters left: 6 (9 enodes) 12.814 * * [simplify]: iters left: 5 (30 enodes) 12.823 * * [simplify]: iters left: 4 (32 enodes) 12.829 * * [simplify]: Extracting #0: cost 1 inf + 0 12.829 * * [simplify]: Extracting #1: cost 4 inf + 0 12.829 * * [simplify]: Extracting #2: cost 5 inf + 1 12.829 * * [simplify]: Extracting #3: cost 7 inf + 1 12.829 * * [simplify]: Extracting #4: cost 10 inf + 1 12.830 * * [simplify]: Extracting #5: cost 14 inf + 1 12.830 * * [simplify]: Extracting #6: cost 12 inf + 3 12.830 * * [simplify]: Extracting #7: cost 8 inf + 248 12.830 * * [simplify]: Extracting #8: cost 4 inf + 815 12.830 * * [simplify]: Extracting #9: cost 0 inf + 1785 12.830 * [simplify]: Simplified to (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) 12.830 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ 1 (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 12.830 * * * * [progress]: [ 70 / 110 ] simplifiying candidate # 12.831 * [simplify]: Simplifying (/ 1 (sqrt (cbrt (+ (* c c) (* d d))))) 12.831 * * [simplify]: iters left: 6 (9 enodes) 12.833 * * [simplify]: iters left: 5 (30 enodes) 12.840 * * [simplify]: iters left: 4 (32 enodes) 12.844 * * [simplify]: Extracting #0: cost 1 inf + 0 12.845 * * [simplify]: Extracting #1: cost 4 inf + 0 12.845 * * [simplify]: Extracting #2: cost 5 inf + 1 12.845 * * [simplify]: Extracting #3: cost 7 inf + 1 12.845 * * [simplify]: Extracting #4: cost 10 inf + 1 12.845 * * [simplify]: Extracting #5: cost 14 inf + 1 12.845 * * [simplify]: Extracting #6: cost 12 inf + 3 12.845 * * [simplify]: Extracting #7: cost 8 inf + 248 12.845 * * [simplify]: Extracting #8: cost 4 inf + 855 12.845 * * [simplify]: Extracting #9: cost 0 inf + 1865 12.846 * [simplify]: Simplified to (/ 1 (sqrt (cbrt (+ (* c c) (* d d))))) 12.846 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (/ 1 (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 12.846 * * * * [progress]: [ 71 / 110 ] simplifiying candidate # 12.846 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 12.846 * * [simplify]: iters left: 6 (9 enodes) 12.848 * * [simplify]: iters left: 5 (30 enodes) 12.853 * * [simplify]: iters left: 4 (32 enodes) 12.858 * * [simplify]: Extracting #0: cost 1 inf + 0 12.858 * * [simplify]: Extracting #1: cost 4 inf + 0 12.858 * * [simplify]: Extracting #2: cost 5 inf + 1 12.858 * * [simplify]: Extracting #3: cost 7 inf + 1 12.858 * * [simplify]: Extracting #4: cost 10 inf + 1 12.858 * * [simplify]: Extracting #5: cost 14 inf + 1 12.858 * * [simplify]: Extracting #6: cost 12 inf + 3 12.858 * * [simplify]: Extracting #7: cost 8 inf + 248 12.858 * * [simplify]: Extracting #8: cost 4 inf + 775 12.859 * * [simplify]: Extracting #9: cost 0 inf + 1625 12.859 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 12.859 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 12.859 * * * * [progress]: [ 72 / 110 ] simplifiying candidate # 12.859 * [simplify]: Simplifying (/ 1 (sqrt (+ (* c c) (* d d)))) 12.859 * * [simplify]: iters left: 6 (8 enodes) 12.861 * * [simplify]: iters left: 5 (27 enodes) 12.866 * * [simplify]: iters left: 4 (29 enodes) 12.870 * * [simplify]: Extracting #0: cost 1 inf + 0 12.870 * * [simplify]: Extracting #1: cost 4 inf + 0 12.870 * * [simplify]: Extracting #2: cost 5 inf + 1 12.870 * * [simplify]: Extracting #3: cost 8 inf + 1 12.870 * * [simplify]: Extracting #4: cost 12 inf + 1 12.870 * * [simplify]: Extracting #5: cost 10 inf + 3 12.870 * * [simplify]: Extracting #6: cost 5 inf + 289 12.871 * * [simplify]: Extracting #7: cost 1 inf + 938 12.871 * * [simplify]: Extracting #8: cost 0 inf + 1141 12.872 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) 12.872 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ 1 (sqrt 1))) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 12.872 * * * * [progress]: [ 73 / 110 ] simplifiying candidate # 12.872 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 12.872 * * [simplify]: iters left: 6 (9 enodes) 12.877 * * [simplify]: iters left: 5 (30 enodes) 12.885 * * [simplify]: iters left: 4 (32 enodes) 12.895 * * [simplify]: Extracting #0: cost 1 inf + 0 12.895 * * [simplify]: Extracting #1: cost 4 inf + 0 12.895 * * [simplify]: Extracting #2: cost 5 inf + 1 12.895 * * [simplify]: Extracting #3: cost 7 inf + 1 12.895 * * [simplify]: Extracting #4: cost 10 inf + 1 12.895 * * [simplify]: Extracting #5: cost 14 inf + 1 12.895 * * [simplify]: Extracting #6: cost 12 inf + 3 12.895 * * [simplify]: Extracting #7: cost 8 inf + 248 12.895 * * [simplify]: Extracting #8: cost 4 inf + 775 12.896 * * [simplify]: Extracting #9: cost 0 inf + 1625 12.897 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 12.897 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 12.897 * * * * [progress]: [ 74 / 110 ] simplifiying candidate # 12.897 * [simplify]: Simplifying (/ 1 (sqrt (+ (* c c) (* d d)))) 12.897 * * [simplify]: iters left: 6 (8 enodes) 12.902 * * [simplify]: iters left: 5 (27 enodes) 12.910 * * [simplify]: iters left: 4 (29 enodes) 12.918 * * [simplify]: Extracting #0: cost 1 inf + 0 12.919 * * [simplify]: Extracting #1: cost 4 inf + 0 12.919 * * [simplify]: Extracting #2: cost 5 inf + 1 12.919 * * [simplify]: Extracting #3: cost 8 inf + 1 12.919 * * [simplify]: Extracting #4: cost 12 inf + 1 12.919 * * [simplify]: Extracting #5: cost 10 inf + 3 12.919 * * [simplify]: Extracting #6: cost 5 inf + 289 12.919 * * [simplify]: Extracting #7: cost 1 inf + 938 12.920 * * [simplify]: Extracting #8: cost 0 inf + 1141 12.920 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) 12.920 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ 1 1)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 12.920 * * * * [progress]: [ 75 / 110 ] simplifiying candidate # 12.921 * [simplify]: Simplifying (/ 1 (sqrt (+ (* c c) (* d d)))) 12.921 * * [simplify]: iters left: 6 (8 enodes) 12.925 * * [simplify]: iters left: 5 (27 enodes) 12.934 * * [simplify]: iters left: 4 (29 enodes) 12.942 * * [simplify]: Extracting #0: cost 1 inf + 0 12.942 * * [simplify]: Extracting #1: cost 4 inf + 0 12.942 * * [simplify]: Extracting #2: cost 5 inf + 1 12.942 * * [simplify]: Extracting #3: cost 8 inf + 1 12.943 * * [simplify]: Extracting #4: cost 12 inf + 1 12.943 * * [simplify]: Extracting #5: cost 10 inf + 3 12.943 * * [simplify]: Extracting #6: cost 5 inf + 289 12.943 * * [simplify]: Extracting #7: cost 1 inf + 938 12.943 * * [simplify]: Extracting #8: cost 0 inf + 1141 12.944 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) 12.944 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) 1) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 12.944 * * * * [progress]: [ 76 / 110 ] simplifiying candidate # 12.944 * [simplify]: Simplifying (/ 1 (sqrt (+ (* c c) (* d d)))) 12.945 * * [simplify]: iters left: 6 (8 enodes) 12.949 * * [simplify]: iters left: 5 (27 enodes) 12.957 * * [simplify]: iters left: 4 (29 enodes) 12.966 * * [simplify]: Extracting #0: cost 1 inf + 0 12.966 * * [simplify]: Extracting #1: cost 4 inf + 0 12.966 * * [simplify]: Extracting #2: cost 5 inf + 1 12.966 * * [simplify]: Extracting #3: cost 8 inf + 1 12.966 * * [simplify]: Extracting #4: cost 12 inf + 1 12.966 * * [simplify]: Extracting #5: cost 10 inf + 3 12.966 * * [simplify]: Extracting #6: cost 5 inf + 289 12.967 * * [simplify]: Extracting #7: cost 1 inf + 938 12.967 * * [simplify]: Extracting #8: cost 0 inf + 1141 12.968 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) 12.968 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) 1) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 12.968 * * * * [progress]: [ 77 / 110 ] simplifiying candidate # 12.968 * [simplify]: Simplifying (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) 12.968 * * [simplify]: iters left: 6 (10 enodes) 12.977 * * [simplify]: iters left: 5 (52 enodes) 12.996 * * [simplify]: iters left: 4 (119 enodes) 13.026 * * [simplify]: iters left: 3 (234 enodes) 13.115 * * [simplify]: iters left: 2 (366 enodes) 13.228 * * [simplify]: Extracting #0: cost 1 inf + 0 13.228 * * [simplify]: Extracting #1: cost 3 inf + 0 13.228 * * [simplify]: Extracting #2: cost 22 inf + 0 13.228 * * [simplify]: Extracting #3: cost 148 inf + 0 13.229 * * [simplify]: Extracting #4: cost 202 inf + 2230 13.233 * * [simplify]: Extracting #5: cost 83 inf + 22274 13.240 * * [simplify]: Extracting #6: cost 1 inf + 35108 13.250 * * [simplify]: Extracting #7: cost 0 inf + 35040 13.257 * [simplify]: Simplified to (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) 13.257 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 13.258 * * * * [progress]: [ 78 / 110 ] simplifiying candidate # 13.258 * [simplify]: Simplifying (sqrt (- (* c c) (* d d))) 13.258 * * [simplify]: iters left: 5 (6 enodes) 13.259 * * [simplify]: iters left: 4 (23 enodes) 13.264 * * [simplify]: iters left: 3 (36 enodes) 13.275 * * [simplify]: iters left: 2 (53 enodes) 13.289 * * [simplify]: iters left: 1 (94 enodes) 13.306 * * [simplify]: Extracting #0: cost 1 inf + 0 13.306 * * [simplify]: Extracting #1: cost 3 inf + 0 13.306 * * [simplify]: Extracting #2: cost 32 inf + 0 13.307 * * [simplify]: Extracting #3: cost 48 inf + 0 13.307 * * [simplify]: Extracting #4: cost 42 inf + 247 13.307 * * [simplify]: Extracting #5: cost 18 inf + 3412 13.309 * * [simplify]: Extracting #6: cost 0 inf + 5728 13.310 * * [simplify]: Extracting #7: cost 0 inf + 5448 13.311 * [simplify]: Simplified to (sqrt (- (* c c) (* d d))) 13.311 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (+ (* a c) (* b d)) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (- (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) 13.311 * * * * [progress]: [ 79 / 110 ] simplifiying candidate # 13.312 * [simplify]: Simplifying (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 13.312 * * [simplify]: iters left: 6 (9 enodes) 13.314 * * [simplify]: iters left: 5 (30 enodes) 13.322 * * [simplify]: Extracting #0: cost 1 inf + 0 13.322 * * [simplify]: Extracting #1: cost 3 inf + 0 13.322 * * [simplify]: Extracting #2: cost 5 inf + 0 13.322 * * [simplify]: Extracting #3: cost 8 inf + 0 13.322 * * [simplify]: Extracting #4: cost 14 inf + 0 13.322 * * [simplify]: Extracting #5: cost 9 inf + 46 13.322 * * [simplify]: Extracting #6: cost 4 inf + 500 13.323 * * [simplify]: Extracting #7: cost 1 inf + 1072 13.323 * * [simplify]: Extracting #8: cost 0 inf + 1316 13.324 * [simplify]: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 13.324 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (+ (* a c) (* b d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 13.324 * * * * [progress]: [ 80 / 110 ] simplifiying candidate # 13.324 * [simplify]: Simplifying (sqrt (+ (* a c) (* b d))) 13.324 * * [simplify]: iters left: 5 (8 enodes) 13.328 * * [simplify]: iters left: 4 (27 enodes) 13.335 * * [simplify]: Extracting #0: cost 1 inf + 0 13.335 * * [simplify]: Extracting #1: cost 3 inf + 0 13.335 * * [simplify]: Extracting #2: cost 6 inf + 0 13.335 * * [simplify]: Extracting #3: cost 12 inf + 0 13.335 * * [simplify]: Extracting #4: cost 8 inf + 4 13.335 * * [simplify]: Extracting #5: cost 1 inf + 584 13.336 * * [simplify]: Extracting #6: cost 0 inf + 748 13.336 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c))) 13.336 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* a c) (* b d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 13.336 * * * * [progress]: [ 81 / 110 ] simplifiying candidate # 13.336 * * * * [progress]: [ 82 / 110 ] simplifiying candidate # 13.337 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d))) 13.338 * * [simplify]: iters left: 5 (6 enodes) 13.341 * * [simplify]: iters left: 4 (19 enodes) 13.346 * * [simplify]: Extracting #0: cost 1 inf + 0 13.346 * * [simplify]: Extracting #1: cost 3 inf + 0 13.346 * * [simplify]: Extracting #2: cost 6 inf + 0 13.346 * * [simplify]: Extracting #3: cost 10 inf + 0 13.346 * * [simplify]: Extracting #4: cost 6 inf + 84 13.346 * * [simplify]: Extracting #5: cost 0 inf + 734 13.346 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d))) 13.346 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ (* (+ (* a c) (* b d)) 1) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) 13.346 * * * * [progress]: [ 83 / 110 ] simplifiying candidate # 13.346 * [simplify]: Simplifying (* (+ (pow (* a c) 3) (pow (* b d) 3)) (/ 1 (sqrt (+ (* c c) (* d d))))) 13.347 * * [simplify]: iters left: 6 (17 enodes) 13.352 * * [simplify]: iters left: 5 (79 enodes) 13.369 * * [simplify]: iters left: 4 (184 enodes) 13.447 * * [simplify]: iters left: 3 (464 enodes) 13.722 * * [simplify]: Extracting #0: cost 1 inf + 0 13.722 * * [simplify]: Extracting #1: cost 13 inf + 0 13.723 * * [simplify]: Extracting #2: cost 181 inf + 1 13.726 * * [simplify]: Extracting #3: cost 358 inf + 334 13.735 * * [simplify]: Extracting #4: cost 225 inf + 30892 13.766 * * [simplify]: Extracting #5: cost 34 inf + 95878 13.785 * * [simplify]: Extracting #6: cost 4 inf + 106365 13.811 * * [simplify]: Extracting #7: cost 0 inf + 107628 13.849 * [simplify]: Simplified to (/ (+ (* (* (* b d) (* b d)) (* b d)) (* (* (* a c) (* a c)) (* a c))) (sqrt (+ (* d d) (* c c)))) 13.849 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (/ (/ (+ (* (* (* b d) (* b d)) (* b d)) (* (* (* a c) (* a c)) (* a c))) (sqrt (+ (* d d) (* c c)))) (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d))))) (sqrt (+ (* c c) (* d d))))) 13.849 * * * * [progress]: [ 84 / 110 ] simplifiying candidate # 13.849 * [simplify]: Simplifying (* (- (* (* a c) (* a c)) (* (* b d) (* b d))) (/ 1 (sqrt (+ (* c c) (* d d))))) 13.850 * * [simplify]: iters left: 6 (16 enodes) 13.858 * * [simplify]: iters left: 5 (73 enodes) 13.887 * * [simplify]: iters left: 4 (150 enodes) 13.948 * * [simplify]: iters left: 3 (351 enodes) 14.094 * * [simplify]: Extracting #0: cost 1 inf + 0 14.094 * * [simplify]: Extracting #1: cost 40 inf + 0 14.095 * * [simplify]: Extracting #2: cost 171 inf + 1 14.096 * * [simplify]: Extracting #3: cost 262 inf + 1400 14.100 * * [simplify]: Extracting #4: cost 143 inf + 18619 14.121 * * [simplify]: Extracting #5: cost 28 inf + 51437 14.147 * * [simplify]: Extracting #6: cost 0 inf + 60910 14.163 * [simplify]: Simplified to (/ (* (- (* a c) (* b d)) (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c)))) 14.163 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (/ (/ (* (- (* a c) (* b d)) (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c)))) (- (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))) 14.163 * * * * [progress]: [ 85 / 110 ] simplifiying candidate #real (real->posit16 (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))> 14.163 * * * * [progress]: [ 86 / 110 ] simplifiying candidate # 14.163 * * * * [progress]: [ 87 / 110 ] simplifiying candidate # 14.163 * [simplify]: Simplifying (* (exp (* a c)) (exp (* b d))) 14.163 * * [simplify]: iters left: 5 (9 enodes) 14.166 * * [simplify]: iters left: 4 (36 enodes) 14.176 * * [simplify]: iters left: 3 (55 enodes) 14.193 * * [simplify]: iters left: 2 (91 enodes) 14.213 * * [simplify]: iters left: 1 (191 enodes) 14.310 * * [simplify]: Extracting #0: cost 1 inf + 0 14.310 * * [simplify]: Extracting #1: cost 38 inf + 0 14.311 * * [simplify]: Extracting #2: cost 150 inf + 0 14.313 * * [simplify]: Extracting #3: cost 173 inf + 772 14.315 * * [simplify]: Extracting #4: cost 148 inf + 4628 14.320 * * [simplify]: Extracting #5: cost 93 inf + 18511 14.330 * * [simplify]: Extracting #6: cost 27 inf + 61555 14.338 * * [simplify]: Extracting #7: cost 0 inf + 82217 14.349 * [simplify]: Simplified to (exp (+ (* a c) (* b d))) 14.349 * [simplify]: Simplified (2 1 1 1) to (λ (a b c d) (/ (* (log (exp (+ (* a c) (* b d)))) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 14.349 * * * * [progress]: [ 88 / 110 ] simplifiying candidate # 14.350 * * * * [progress]: [ 89 / 110 ] simplifiying candidate # 14.350 * * * * [progress]: [ 90 / 110 ] simplifiying candidate # 14.350 * * * * [progress]: [ 91 / 110 ] simplifiying candidate # 14.350 * * * * [progress]: [ 92 / 110 ] simplifiying candidate # 14.350 * * * * [progress]: [ 93 / 110 ] simplifiying candidate # 14.350 * * * * [progress]: [ 94 / 110 ] simplifiying candidate # 14.350 * * * * [progress]: [ 95 / 110 ] simplifiying candidate # 14.350 * * * * [progress]: [ 96 / 110 ] simplifiying candidate # 14.350 * * * * [progress]: [ 97 / 110 ] simplifiying candidate #real (real->posit16 (+ (* a c) (* b d)))) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))> 14.350 * * * * [progress]: [ 98 / 110 ] simplifiying candidate # 14.350 * * * * [progress]: [ 99 / 110 ] simplifiying candidate # 14.350 * [simplify]: Simplifying d 14.350 * * [simplify]: iters left: 0 (1 enodes) 14.350 * * [simplify]: Extracting #0: cost 1 inf + 0 14.351 * * [simplify]: Extracting #1: cost 0 inf + 1 14.351 * [simplify]: Simplified to d 14.351 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) d)) 14.351 * * * * [progress]: [ 100 / 110 ] simplifiying candidate # 14.351 * [simplify]: Simplifying c 14.351 * * [simplify]: iters left: 0 (1 enodes) 14.351 * * [simplify]: Extracting #0: cost 1 inf + 0 14.351 * * [simplify]: Extracting #1: cost 0 inf + 1 14.351 * [simplify]: Simplified to c 14.351 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) c)) 14.351 * * * * [progress]: [ 101 / 110 ] simplifiying candidate # 14.351 * [simplify]: Simplifying (* -1 c) 14.351 * * [simplify]: iters left: 2 (3 enodes) 14.353 * * [simplify]: iters left: 1 (11 enodes) 14.354 * * [simplify]: Extracting #0: cost 1 inf + 0 14.354 * * [simplify]: Extracting #1: cost 4 inf + 0 14.354 * * [simplify]: Extracting #2: cost 0 inf + 84 14.354 * [simplify]: Simplified to (- c) 14.354 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (- c))) 14.355 * * * * [progress]: [ 102 / 110 ] simplifiying candidate # 14.355 * [simplify]: Simplifying d 14.355 * * [simplify]: iters left: 0 (1 enodes) 14.355 * * [simplify]: Extracting #0: cost 1 inf + 0 14.355 * * [simplify]: Extracting #1: cost 0 inf + 1 14.355 * [simplify]: Simplified to d 14.355 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 d)) (sqrt (+ (* c c) (* d d))))) 14.355 * * * * [progress]: [ 103 / 110 ] simplifiying candidate # 14.355 * [simplify]: Simplifying c 14.355 * * [simplify]: iters left: 0 (1 enodes) 14.356 * * [simplify]: Extracting #0: cost 1 inf + 0 14.356 * * [simplify]: Extracting #1: cost 0 inf + 1 14.356 * [simplify]: Simplified to c 14.356 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 c)) (sqrt (+ (* c c) (* d d))))) 14.356 * * * * [progress]: [ 104 / 110 ] simplifiying candidate # 14.356 * [simplify]: Simplifying (* -1 c) 14.356 * * [simplify]: iters left: 2 (3 enodes) 14.357 * * [simplify]: iters left: 1 (11 enodes) 14.358 * * [simplify]: Extracting #0: cost 1 inf + 0 14.358 * * [simplify]: Extracting #1: cost 4 inf + 0 14.359 * * [simplify]: Extracting #2: cost 0 inf + 84 14.359 * [simplify]: Simplified to (- c) 14.359 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (/ 1 (- c))) (sqrt (+ (* c c) (* d d))))) 14.359 * * * * [progress]: [ 105 / 110 ] simplifiying candidate # 14.359 * [simplify]: Simplifying b 14.359 * * [simplify]: iters left: 0 (1 enodes) 14.359 * * [simplify]: Extracting #0: cost 1 inf + 0 14.359 * * [simplify]: Extracting #1: cost 0 inf + 1 14.359 * [simplify]: Simplified to b 14.359 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d))))) 14.359 * * * * [progress]: [ 106 / 110 ] simplifiying candidate # 14.359 * [simplify]: Simplifying a 14.359 * * [simplify]: iters left: 0 (1 enodes) 14.360 * * [simplify]: Extracting #0: cost 1 inf + 0 14.360 * * [simplify]: Extracting #1: cost 0 inf + 1 14.360 * [simplify]: Simplified to a 14.360 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d))))) 14.360 * * * * [progress]: [ 107 / 110 ] simplifiying candidate # 14.360 * [simplify]: Simplifying (* -1 a) 14.360 * * [simplify]: iters left: 2 (3 enodes) 14.361 * * [simplify]: iters left: 1 (11 enodes) 14.362 * * [simplify]: Extracting #0: cost 1 inf + 0 14.363 * * [simplify]: Extracting #1: cost 4 inf + 0 14.363 * * [simplify]: Extracting #2: cost 0 inf + 84 14.363 * [simplify]: Simplified to (- a) 14.363 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d))))) 14.363 * * * * [progress]: [ 108 / 110 ] simplifiying candidate # 14.363 * [simplify]: Simplifying 0 14.363 * * [simplify]: iters left: 0 (1 enodes) 14.363 * * [simplify]: Extracting #0: cost 1 inf + 0 14.363 * * [simplify]: Extracting #1: cost 0 inf + 1 14.363 * [simplify]: Simplified to 0 14.364 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* 0 (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 14.364 * * * * [progress]: [ 109 / 110 ] simplifiying candidate # 14.364 * [simplify]: Simplifying (+ (* a c) (* b d)) 14.364 * * [simplify]: iters left: 4 (7 enodes) 14.365 * * [simplify]: iters left: 3 (24 enodes) 14.369 * * [simplify]: Extracting #0: cost 1 inf + 0 14.369 * * [simplify]: Extracting #1: cost 4 inf + 0 14.369 * * [simplify]: Extracting #2: cost 10 inf + 0 14.369 * * [simplify]: Extracting #3: cost 6 inf + 4 14.369 * * [simplify]: Extracting #4: cost 1 inf + 296 14.369 * * [simplify]: Extracting #5: cost 0 inf + 420 14.369 * [simplify]: Simplified to (+ (* b d) (* a c)) 14.369 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 14.369 * * * * [progress]: [ 110 / 110 ] simplifiying candidate # 14.369 * [simplify]: Simplifying (+ (* a c) (* b d)) 14.369 * * [simplify]: iters left: 4 (7 enodes) 14.371 * * [simplify]: iters left: 3 (24 enodes) 14.374 * * [simplify]: Extracting #0: cost 1 inf + 0 14.374 * * [simplify]: Extracting #1: cost 4 inf + 0 14.374 * * [simplify]: Extracting #2: cost 10 inf + 0 14.374 * * [simplify]: Extracting #3: cost 6 inf + 4 14.374 * * [simplify]: Extracting #4: cost 1 inf + 296 14.374 * * [simplify]: Extracting #5: cost 0 inf + 420 14.374 * [simplify]: Simplified to (+ (* b d) (* a c)) 14.374 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (* (+ (* b d) (* a c)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) 14.375 * * * [progress]: adding candidates to table 15.889 * * [progress]: iteration 4 / 4 15.890 * * * [progress]: picking best candidate 15.935 * * * * [pick]: Picked # 15.935 * * * [progress]: localizing error 15.956 * * * [progress]: generating rewritten candidates 15.956 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 16.010 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 16.025 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 16.032 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 16.042 * * * [progress]: generating series expansions 16.043 * * * * [progress]: [ 1 / 4 ] generating series at (2) 16.043 * [backup-simplify]: Simplify (* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d)))) into (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) 16.043 * [approximate]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in (a c b d) around 0 16.043 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in d 16.043 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d 16.043 * [taylor]: Taking taylor expansion of (* a c) in d 16.043 * [taylor]: Taking taylor expansion of a in d 16.043 * [backup-simplify]: Simplify a into a 16.043 * [taylor]: Taking taylor expansion of c in d 16.043 * [backup-simplify]: Simplify c into c 16.043 * [taylor]: Taking taylor expansion of (* b d) in d 16.043 * [taylor]: Taking taylor expansion of b in d 16.043 * [backup-simplify]: Simplify b into b 16.043 * [taylor]: Taking taylor expansion of d in d 16.043 * [backup-simplify]: Simplify 0 into 0 16.043 * [backup-simplify]: Simplify 1 into 1 16.043 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 16.043 * [taylor]: Taking taylor expansion of (pow c 2) in d 16.043 * [taylor]: Taking taylor expansion of c in d 16.043 * [backup-simplify]: Simplify c into c 16.043 * [taylor]: Taking taylor expansion of (pow d 2) in d 16.043 * [taylor]: Taking taylor expansion of d in d 16.043 * [backup-simplify]: Simplify 0 into 0 16.043 * [backup-simplify]: Simplify 1 into 1 16.043 * [backup-simplify]: Simplify (* a c) into (* a c) 16.043 * [backup-simplify]: Simplify (* b 0) into 0 16.043 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c) 16.043 * [backup-simplify]: Simplify (* c c) into (pow c 2) 16.043 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 16.043 * [backup-simplify]: Simplify (/ (* a c) (pow c 2)) into (/ a c) 16.043 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in b 16.044 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b 16.044 * [taylor]: Taking taylor expansion of (* a c) in b 16.044 * [taylor]: Taking taylor expansion of a in b 16.044 * [backup-simplify]: Simplify a into a 16.044 * [taylor]: Taking taylor expansion of c in b 16.044 * [backup-simplify]: Simplify c into c 16.044 * [taylor]: Taking taylor expansion of (* b d) in b 16.044 * [taylor]: Taking taylor expansion of b in b 16.044 * [backup-simplify]: Simplify 0 into 0 16.044 * [backup-simplify]: Simplify 1 into 1 16.044 * [taylor]: Taking taylor expansion of d in b 16.044 * [backup-simplify]: Simplify d into d 16.044 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b 16.044 * [taylor]: Taking taylor expansion of (pow c 2) in b 16.044 * [taylor]: Taking taylor expansion of c in b 16.044 * [backup-simplify]: Simplify c into c 16.044 * [taylor]: Taking taylor expansion of (pow d 2) in b 16.044 * [taylor]: Taking taylor expansion of d in b 16.044 * [backup-simplify]: Simplify d into d 16.044 * [backup-simplify]: Simplify (* a c) into (* a c) 16.044 * [backup-simplify]: Simplify (* 0 d) into 0 16.044 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c) 16.044 * [backup-simplify]: Simplify (* c c) into (pow c 2) 16.044 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.044 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 16.044 * [backup-simplify]: Simplify (/ (* a c) (+ (pow c 2) (pow d 2))) into (/ (* a c) (+ (pow c 2) (pow d 2))) 16.044 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in c 16.044 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c 16.044 * [taylor]: Taking taylor expansion of (* a c) in c 16.044 * [taylor]: Taking taylor expansion of a in c 16.044 * [backup-simplify]: Simplify a into a 16.044 * [taylor]: Taking taylor expansion of c in c 16.044 * [backup-simplify]: Simplify 0 into 0 16.044 * [backup-simplify]: Simplify 1 into 1 16.044 * [taylor]: Taking taylor expansion of (* b d) in c 16.044 * [taylor]: Taking taylor expansion of b in c 16.044 * [backup-simplify]: Simplify b into b 16.044 * [taylor]: Taking taylor expansion of d in c 16.044 * [backup-simplify]: Simplify d into d 16.044 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 16.044 * [taylor]: Taking taylor expansion of (pow c 2) in c 16.044 * [taylor]: Taking taylor expansion of c in c 16.044 * [backup-simplify]: Simplify 0 into 0 16.044 * [backup-simplify]: Simplify 1 into 1 16.044 * [taylor]: Taking taylor expansion of (pow d 2) in c 16.044 * [taylor]: Taking taylor expansion of d in c 16.044 * [backup-simplify]: Simplify d into d 16.044 * [backup-simplify]: Simplify (* a 0) into 0 16.045 * [backup-simplify]: Simplify (* b d) into (* b d) 16.045 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 16.045 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.045 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 16.045 * [backup-simplify]: Simplify (/ (* b d) (pow d 2)) into (/ b d) 16.045 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in a 16.045 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 16.045 * [taylor]: Taking taylor expansion of (* a c) in a 16.045 * [taylor]: Taking taylor expansion of a in a 16.045 * [backup-simplify]: Simplify 0 into 0 16.045 * [backup-simplify]: Simplify 1 into 1 16.045 * [taylor]: Taking taylor expansion of c in a 16.045 * [backup-simplify]: Simplify c into c 16.045 * [taylor]: Taking taylor expansion of (* b d) in a 16.045 * [taylor]: Taking taylor expansion of b in a 16.045 * [backup-simplify]: Simplify b into b 16.045 * [taylor]: Taking taylor expansion of d in a 16.045 * [backup-simplify]: Simplify d into d 16.045 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a 16.045 * [taylor]: Taking taylor expansion of (pow c 2) in a 16.045 * [taylor]: Taking taylor expansion of c in a 16.045 * [backup-simplify]: Simplify c into c 16.045 * [taylor]: Taking taylor expansion of (pow d 2) in a 16.045 * [taylor]: Taking taylor expansion of d in a 16.045 * [backup-simplify]: Simplify d into d 16.045 * [backup-simplify]: Simplify (* 0 c) into 0 16.045 * [backup-simplify]: Simplify (* b d) into (* b d) 16.045 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 16.045 * [backup-simplify]: Simplify (* c c) into (pow c 2) 16.045 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.045 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 16.045 * [backup-simplify]: Simplify (/ (* b d) (+ (pow c 2) (pow d 2))) into (/ (* b d) (+ (pow c 2) (pow d 2))) 16.045 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in a 16.045 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 16.045 * [taylor]: Taking taylor expansion of (* a c) in a 16.045 * [taylor]: Taking taylor expansion of a in a 16.045 * [backup-simplify]: Simplify 0 into 0 16.046 * [backup-simplify]: Simplify 1 into 1 16.046 * [taylor]: Taking taylor expansion of c in a 16.046 * [backup-simplify]: Simplify c into c 16.046 * [taylor]: Taking taylor expansion of (* b d) in a 16.046 * [taylor]: Taking taylor expansion of b in a 16.046 * [backup-simplify]: Simplify b into b 16.046 * [taylor]: Taking taylor expansion of d in a 16.046 * [backup-simplify]: Simplify d into d 16.046 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a 16.046 * [taylor]: Taking taylor expansion of (pow c 2) in a 16.046 * [taylor]: Taking taylor expansion of c in a 16.046 * [backup-simplify]: Simplify c into c 16.046 * [taylor]: Taking taylor expansion of (pow d 2) in a 16.046 * [taylor]: Taking taylor expansion of d in a 16.046 * [backup-simplify]: Simplify d into d 16.046 * [backup-simplify]: Simplify (* 0 c) into 0 16.046 * [backup-simplify]: Simplify (* b d) into (* b d) 16.046 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 16.046 * [backup-simplify]: Simplify (* c c) into (pow c 2) 16.046 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.046 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 16.046 * [backup-simplify]: Simplify (/ (* b d) (+ (pow c 2) (pow d 2))) into (/ (* b d) (+ (pow c 2) (pow d 2))) 16.047 * [taylor]: Taking taylor expansion of (/ (* b d) (+ (pow c 2) (pow d 2))) in c 16.047 * [taylor]: Taking taylor expansion of (* b d) in c 16.047 * [taylor]: Taking taylor expansion of b in c 16.047 * [backup-simplify]: Simplify b into b 16.047 * [taylor]: Taking taylor expansion of d in c 16.047 * [backup-simplify]: Simplify d into d 16.047 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 16.047 * [taylor]: Taking taylor expansion of (pow c 2) in c 16.047 * [taylor]: Taking taylor expansion of c in c 16.047 * [backup-simplify]: Simplify 0 into 0 16.047 * [backup-simplify]: Simplify 1 into 1 16.047 * [taylor]: Taking taylor expansion of (pow d 2) in c 16.047 * [taylor]: Taking taylor expansion of d in c 16.047 * [backup-simplify]: Simplify d into d 16.047 * [backup-simplify]: Simplify (* b d) into (* b d) 16.047 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.047 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 16.047 * [backup-simplify]: Simplify (/ (* b d) (pow d 2)) into (/ b d) 16.047 * [taylor]: Taking taylor expansion of (/ b d) in b 16.047 * [taylor]: Taking taylor expansion of b in b 16.047 * [backup-simplify]: Simplify 0 into 0 16.047 * [backup-simplify]: Simplify 1 into 1 16.047 * [taylor]: Taking taylor expansion of d in b 16.047 * [backup-simplify]: Simplify d into d 16.047 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 16.048 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 16.048 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 16.048 * [backup-simplify]: Simplify (+ c 0) into c 16.049 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 16.049 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 16.049 * [backup-simplify]: Simplify (+ 0 0) into 0 16.050 * [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))) 16.050 * [taylor]: Taking taylor expansion of (/ c (+ (pow c 2) (pow d 2))) in c 16.050 * [taylor]: Taking taylor expansion of c in c 16.050 * [backup-simplify]: Simplify 0 into 0 16.050 * [backup-simplify]: Simplify 1 into 1 16.050 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 16.050 * [taylor]: Taking taylor expansion of (pow c 2) in c 16.050 * [taylor]: Taking taylor expansion of c in c 16.050 * [backup-simplify]: Simplify 0 into 0 16.050 * [backup-simplify]: Simplify 1 into 1 16.050 * [taylor]: Taking taylor expansion of (pow d 2) in c 16.050 * [taylor]: Taking taylor expansion of d in c 16.050 * [backup-simplify]: Simplify d into d 16.050 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.050 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 16.050 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 16.050 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 16.051 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 16.051 * [backup-simplify]: Simplify (+ 0 0) into 0 16.051 * [backup-simplify]: Simplify (- (/ 0 (pow d 2)) (+ (* (/ b d) (/ 0 (pow d 2))))) into 0 16.051 * [taylor]: Taking taylor expansion of 0 in b 16.051 * [backup-simplify]: Simplify 0 into 0 16.051 * [taylor]: Taking taylor expansion of 0 in d 16.051 * [backup-simplify]: Simplify 0 into 0 16.051 * [backup-simplify]: Simplify 0 into 0 16.051 * [taylor]: Taking taylor expansion of (/ 1 d) in d 16.051 * [taylor]: Taking taylor expansion of d in d 16.051 * [backup-simplify]: Simplify 0 into 0 16.051 * [backup-simplify]: Simplify 1 into 1 16.052 * [backup-simplify]: Simplify (/ 1 1) into 1 16.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.053 * [backup-simplify]: Simplify 0 into 0 16.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 16.054 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 16.054 * [backup-simplify]: Simplify (+ 0 0) into 0 16.055 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 16.055 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 16.056 * [backup-simplify]: Simplify (+ 0 0) into 0 16.056 * [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 16.056 * [taylor]: Taking taylor expansion of 0 in c 16.056 * [backup-simplify]: Simplify 0 into 0 16.056 * [taylor]: Taking taylor expansion of 0 in b 16.057 * [backup-simplify]: Simplify 0 into 0 16.057 * [taylor]: Taking taylor expansion of 0 in d 16.057 * [backup-simplify]: Simplify 0 into 0 16.057 * [backup-simplify]: Simplify 0 into 0 16.057 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 16.057 * [taylor]: Taking taylor expansion of (pow d 2) in b 16.057 * [taylor]: Taking taylor expansion of d in b 16.057 * [backup-simplify]: Simplify d into d 16.057 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.057 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 16.057 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 16.057 * [taylor]: Taking taylor expansion of (pow d 2) in d 16.057 * [taylor]: Taking taylor expansion of d in d 16.057 * [backup-simplify]: Simplify 0 into 0 16.057 * [backup-simplify]: Simplify 1 into 1 16.057 * [backup-simplify]: Simplify (* 1 1) into 1 16.058 * [backup-simplify]: Simplify (/ 1 1) into 1 16.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.061 * [backup-simplify]: Simplify 0 into 0 16.062 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 16.062 * [backup-simplify]: Simplify (* 1 1) into 1 16.062 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 16.063 * [backup-simplify]: Simplify (+ 1 0) into 1 16.063 * [backup-simplify]: Simplify (- (/ 0 (pow d 2)) (+ (* (/ b d) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ b (pow d 3))) 16.063 * [taylor]: Taking taylor expansion of (- (/ b (pow d 3))) in b 16.063 * [taylor]: Taking taylor expansion of (/ b (pow d 3)) in b 16.063 * [taylor]: Taking taylor expansion of b in b 16.063 * [backup-simplify]: Simplify 0 into 0 16.063 * [backup-simplify]: Simplify 1 into 1 16.063 * [taylor]: Taking taylor expansion of (pow d 3) in b 16.063 * [taylor]: Taking taylor expansion of d in b 16.063 * [backup-simplify]: Simplify d into d 16.063 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.063 * [backup-simplify]: Simplify (* d (pow d 2)) into (pow d 3) 16.064 * [backup-simplify]: Simplify (/ 1 (pow d 3)) into (/ 1 (pow d 3)) 16.064 * [taylor]: Taking taylor expansion of 0 in d 16.064 * [backup-simplify]: Simplify 0 into 0 16.064 * [backup-simplify]: Simplify 0 into 0 16.064 * [backup-simplify]: Simplify (- (/ 0 d) (+ (* (/ 1 d) (/ 0 d)))) into 0 16.064 * [taylor]: Taking taylor expansion of 0 in d 16.064 * [backup-simplify]: Simplify 0 into 0 16.064 * [backup-simplify]: Simplify 0 into 0 16.064 * [backup-simplify]: Simplify 0 into 0 16.065 * [backup-simplify]: Simplify (* (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (/ 1 (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) into (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 16.065 * [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 16.065 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 16.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 16.065 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 16.065 * [taylor]: Taking taylor expansion of (* b d) in d 16.065 * [taylor]: Taking taylor expansion of b in d 16.065 * [backup-simplify]: Simplify b into b 16.065 * [taylor]: Taking taylor expansion of d in d 16.065 * [backup-simplify]: Simplify 0 into 0 16.065 * [backup-simplify]: Simplify 1 into 1 16.065 * [backup-simplify]: Simplify (* b 0) into 0 16.065 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 16.065 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 16.065 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 16.065 * [taylor]: Taking taylor expansion of (* a c) in d 16.065 * [taylor]: Taking taylor expansion of a in d 16.065 * [backup-simplify]: Simplify a into a 16.065 * [taylor]: Taking taylor expansion of c in d 16.065 * [backup-simplify]: Simplify c into c 16.066 * [backup-simplify]: Simplify (* a c) into (* a c) 16.066 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 16.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 16.066 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 16.066 * [taylor]: Taking taylor expansion of (pow c 2) in d 16.066 * [taylor]: Taking taylor expansion of c in d 16.066 * [backup-simplify]: Simplify c into c 16.066 * [backup-simplify]: Simplify (* c c) into (pow c 2) 16.066 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 16.066 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 16.066 * [taylor]: Taking taylor expansion of (pow d 2) in d 16.066 * [taylor]: Taking taylor expansion of d in d 16.066 * [backup-simplify]: Simplify 0 into 0 16.066 * [backup-simplify]: Simplify 1 into 1 16.066 * [backup-simplify]: Simplify (* 1 1) into 1 16.067 * [backup-simplify]: Simplify (/ 1 1) into 1 16.067 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 16.067 * [backup-simplify]: Simplify (+ 0 1) into 1 16.067 * [backup-simplify]: Simplify (/ (/ 1 b) 1) into (/ 1 b) 16.067 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 16.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 16.067 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 16.067 * [taylor]: Taking taylor expansion of (* b d) in b 16.067 * [taylor]: Taking taylor expansion of b in b 16.067 * [backup-simplify]: Simplify 0 into 0 16.067 * [backup-simplify]: Simplify 1 into 1 16.067 * [taylor]: Taking taylor expansion of d in b 16.067 * [backup-simplify]: Simplify d into d 16.068 * [backup-simplify]: Simplify (* 0 d) into 0 16.068 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 16.068 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 16.068 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 16.068 * [taylor]: Taking taylor expansion of (* a c) in b 16.068 * [taylor]: Taking taylor expansion of a in b 16.068 * [backup-simplify]: Simplify a into a 16.068 * [taylor]: Taking taylor expansion of c in b 16.068 * [backup-simplify]: Simplify c into c 16.068 * [backup-simplify]: Simplify (* a c) into (* a c) 16.068 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 16.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 16.068 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 16.068 * [taylor]: Taking taylor expansion of (pow c 2) in b 16.068 * [taylor]: Taking taylor expansion of c in b 16.068 * [backup-simplify]: Simplify c into c 16.068 * [backup-simplify]: Simplify (* c c) into (pow c 2) 16.069 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 16.069 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 16.069 * [taylor]: Taking taylor expansion of (pow d 2) in b 16.069 * [taylor]: Taking taylor expansion of d in b 16.069 * [backup-simplify]: Simplify d into d 16.069 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.069 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 16.069 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 16.069 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 16.069 * [backup-simplify]: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) 16.069 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 16.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 16.070 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 16.070 * [taylor]: Taking taylor expansion of (* b d) in c 16.070 * [taylor]: Taking taylor expansion of b in c 16.070 * [backup-simplify]: Simplify b into b 16.070 * [taylor]: Taking taylor expansion of d in c 16.070 * [backup-simplify]: Simplify d into d 16.070 * [backup-simplify]: Simplify (* b d) into (* b d) 16.070 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 16.070 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 16.070 * [taylor]: Taking taylor expansion of (* a c) in c 16.070 * [taylor]: Taking taylor expansion of a in c 16.070 * [backup-simplify]: Simplify a into a 16.070 * [taylor]: Taking taylor expansion of c in c 16.070 * [backup-simplify]: Simplify 0 into 0 16.070 * [backup-simplify]: Simplify 1 into 1 16.070 * [backup-simplify]: Simplify (* a 0) into 0 16.070 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 16.070 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 16.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 16.071 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 16.071 * [taylor]: Taking taylor expansion of (pow c 2) in c 16.071 * [taylor]: Taking taylor expansion of c in c 16.071 * [backup-simplify]: Simplify 0 into 0 16.071 * [backup-simplify]: Simplify 1 into 1 16.071 * [backup-simplify]: Simplify (* 1 1) into 1 16.071 * [backup-simplify]: Simplify (/ 1 1) into 1 16.071 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 16.071 * [taylor]: Taking taylor expansion of (pow d 2) in c 16.071 * [taylor]: Taking taylor expansion of d in c 16.071 * [backup-simplify]: Simplify d into d 16.072 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.072 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 16.072 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 16.072 * [backup-simplify]: Simplify (+ 1 0) into 1 16.072 * [backup-simplify]: Simplify (/ (/ 1 a) 1) into (/ 1 a) 16.072 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 16.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 16.072 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 16.072 * [taylor]: Taking taylor expansion of (* b d) in a 16.072 * [taylor]: Taking taylor expansion of b in a 16.072 * [backup-simplify]: Simplify b into b 16.072 * [taylor]: Taking taylor expansion of d in a 16.072 * [backup-simplify]: Simplify d into d 16.072 * [backup-simplify]: Simplify (* b d) into (* b d) 16.072 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 16.073 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 16.073 * [taylor]: Taking taylor expansion of (* a c) in a 16.073 * [taylor]: Taking taylor expansion of a in a 16.073 * [backup-simplify]: Simplify 0 into 0 16.073 * [backup-simplify]: Simplify 1 into 1 16.073 * [taylor]: Taking taylor expansion of c in a 16.073 * [backup-simplify]: Simplify c into c 16.073 * [backup-simplify]: Simplify (* 0 c) into 0 16.073 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 16.073 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 16.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 16.073 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 16.073 * [taylor]: Taking taylor expansion of (pow c 2) in a 16.073 * [taylor]: Taking taylor expansion of c in a 16.073 * [backup-simplify]: Simplify c into c 16.073 * [backup-simplify]: Simplify (* c c) into (pow c 2) 16.073 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 16.073 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 16.073 * [taylor]: Taking taylor expansion of (pow d 2) in a 16.073 * [taylor]: Taking taylor expansion of d in a 16.074 * [backup-simplify]: Simplify d into d 16.074 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.074 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 16.074 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 16.074 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 16.074 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) 16.074 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 16.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 16.074 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 16.074 * [taylor]: Taking taylor expansion of (* b d) in a 16.074 * [taylor]: Taking taylor expansion of b in a 16.074 * [backup-simplify]: Simplify b into b 16.074 * [taylor]: Taking taylor expansion of d in a 16.074 * [backup-simplify]: Simplify d into d 16.074 * [backup-simplify]: Simplify (* b d) into (* b d) 16.074 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 16.074 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 16.074 * [taylor]: Taking taylor expansion of (* a c) in a 16.074 * [taylor]: Taking taylor expansion of a in a 16.075 * [backup-simplify]: Simplify 0 into 0 16.075 * [backup-simplify]: Simplify 1 into 1 16.075 * [taylor]: Taking taylor expansion of c in a 16.075 * [backup-simplify]: Simplify c into c 16.075 * [backup-simplify]: Simplify (* 0 c) into 0 16.075 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 16.075 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 16.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 16.075 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 16.075 * [taylor]: Taking taylor expansion of (pow c 2) in a 16.075 * [taylor]: Taking taylor expansion of c in a 16.075 * [backup-simplify]: Simplify c into c 16.075 * [backup-simplify]: Simplify (* c c) into (pow c 2) 16.075 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 16.075 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 16.075 * [taylor]: Taking taylor expansion of (pow d 2) in a 16.075 * [taylor]: Taking taylor expansion of d in a 16.075 * [backup-simplify]: Simplify d into d 16.076 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.076 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 16.076 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 16.076 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 16.076 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) 16.076 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c 16.076 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c 16.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 16.076 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 16.076 * [taylor]: Taking taylor expansion of (pow c 2) in c 16.076 * [taylor]: Taking taylor expansion of c in c 16.076 * [backup-simplify]: Simplify 0 into 0 16.076 * [backup-simplify]: Simplify 1 into 1 16.077 * [backup-simplify]: Simplify (* 1 1) into 1 16.077 * [backup-simplify]: Simplify (/ 1 1) into 1 16.077 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 16.077 * [taylor]: Taking taylor expansion of (pow d 2) in c 16.077 * [taylor]: Taking taylor expansion of d in c 16.077 * [backup-simplify]: Simplify d into d 16.077 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.077 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 16.077 * [taylor]: Taking taylor expansion of c in c 16.077 * [backup-simplify]: Simplify 0 into 0 16.077 * [backup-simplify]: Simplify 1 into 1 16.078 * [backup-simplify]: Simplify (+ 1 0) into 1 16.078 * [backup-simplify]: Simplify (* 1 0) into 0 16.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.080 * [backup-simplify]: Simplify (+ 0 0) into 0 16.080 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 16.081 * [backup-simplify]: Simplify (/ 1 1) into 1 16.081 * [taylor]: Taking taylor expansion of 1 in b 16.081 * [backup-simplify]: Simplify 1 into 1 16.082 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 16.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 16.082 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 16.082 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 16.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 16.082 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 16.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 16.083 * [backup-simplify]: Simplify (+ 0 0) into 0 16.083 * [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))) 16.083 * [taylor]: Taking taylor expansion of (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c 16.083 * [taylor]: Taking taylor expansion of (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c 16.084 * [taylor]: Taking taylor expansion of b in c 16.084 * [backup-simplify]: Simplify b into b 16.084 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c 16.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 16.084 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 16.084 * [taylor]: Taking taylor expansion of (pow c 2) in c 16.084 * [taylor]: Taking taylor expansion of c in c 16.084 * [backup-simplify]: Simplify 0 into 0 16.084 * [backup-simplify]: Simplify 1 into 1 16.084 * [backup-simplify]: Simplify (* 1 1) into 1 16.084 * [backup-simplify]: Simplify (/ 1 1) into 1 16.084 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 16.084 * [taylor]: Taking taylor expansion of (pow d 2) in c 16.085 * [taylor]: Taking taylor expansion of d in c 16.085 * [backup-simplify]: Simplify d into d 16.085 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.085 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 16.085 * [taylor]: Taking taylor expansion of d in c 16.085 * [backup-simplify]: Simplify d into d 16.085 * [backup-simplify]: Simplify (+ 1 0) into 1 16.085 * [backup-simplify]: Simplify (* 1 d) into d 16.085 * [backup-simplify]: Simplify (* b d) into (* b d) 16.085 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 16.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.088 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 16.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) into 0 16.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.090 * [taylor]: Taking taylor expansion of 0 in b 16.090 * [backup-simplify]: Simplify 0 into 0 16.090 * [taylor]: Taking taylor expansion of 1 in d 16.090 * [backup-simplify]: Simplify 1 into 1 16.090 * [backup-simplify]: Simplify 0 into 0 16.090 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 16.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 16.091 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 16.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 16.092 * [backup-simplify]: Simplify (+ 0 0) into 0 16.092 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 16.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 16.093 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 16.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 16.093 * [backup-simplify]: Simplify (+ 0 0) into 0 16.094 * [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 16.094 * [taylor]: Taking taylor expansion of 0 in c 16.094 * [backup-simplify]: Simplify 0 into 0 16.094 * [taylor]: Taking taylor expansion of 0 in b 16.094 * [backup-simplify]: Simplify 0 into 0 16.095 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 16.095 * [taylor]: Taking taylor expansion of (* b d) in b 16.095 * [taylor]: Taking taylor expansion of b in b 16.095 * [backup-simplify]: Simplify 0 into 0 16.095 * [backup-simplify]: Simplify 1 into 1 16.095 * [taylor]: Taking taylor expansion of d in b 16.095 * [backup-simplify]: Simplify d into d 16.095 * [backup-simplify]: Simplify (* 0 d) into 0 16.095 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 16.095 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 16.095 * [taylor]: Taking taylor expansion of (/ 1 d) in d 16.095 * [taylor]: Taking taylor expansion of d in d 16.095 * [backup-simplify]: Simplify 0 into 0 16.095 * [backup-simplify]: Simplify 1 into 1 16.096 * [backup-simplify]: Simplify (/ 1 1) into 1 16.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.097 * [backup-simplify]: Simplify 0 into 0 16.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.099 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 16.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 16.100 * [backup-simplify]: Simplify (+ 0 0) into 0 16.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2)) 16.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) 16.102 * [taylor]: Taking taylor expansion of (- (/ 1 (pow d 2))) in b 16.102 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 16.102 * [taylor]: Taking taylor expansion of (pow d 2) in b 16.102 * [taylor]: Taking taylor expansion of d in b 16.102 * [backup-simplify]: Simplify d into d 16.102 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.102 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 16.102 * [taylor]: Taking taylor expansion of 0 in d 16.102 * [backup-simplify]: Simplify 0 into 0 16.102 * [backup-simplify]: Simplify 0 into 0 16.102 * [taylor]: Taking taylor expansion of 0 in d 16.102 * [backup-simplify]: Simplify 0 into 0 16.102 * [backup-simplify]: Simplify 0 into 0 16.102 * [backup-simplify]: Simplify 0 into 0 16.103 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 16.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 16.105 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 16.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 16.105 * [backup-simplify]: Simplify (+ 0 0) into 0 16.106 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 16.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 16.107 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 16.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 16.108 * [backup-simplify]: Simplify (+ 0 0) into 0 16.109 * [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 16.109 * [taylor]: Taking taylor expansion of 0 in c 16.109 * [backup-simplify]: Simplify 0 into 0 16.109 * [taylor]: Taking taylor expansion of 0 in b 16.109 * [backup-simplify]: Simplify 0 into 0 16.109 * [taylor]: Taking taylor expansion of 0 in b 16.109 * [backup-simplify]: Simplify 0 into 0 16.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.111 * [backup-simplify]: Simplify (+ 0 0) into 0 16.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 d)) into 0 16.111 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 16.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 16.112 * [taylor]: Taking taylor expansion of 0 in b 16.112 * [backup-simplify]: Simplify 0 into 0 16.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.114 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 16.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 16.115 * [backup-simplify]: Simplify (+ 0 0) into 0 16.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 16.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 16.118 * [taylor]: Taking taylor expansion of 0 in b 16.118 * [backup-simplify]: Simplify 0 into 0 16.118 * [taylor]: Taking taylor expansion of 0 in d 16.118 * [backup-simplify]: Simplify 0 into 0 16.118 * [backup-simplify]: Simplify 0 into 0 16.118 * [backup-simplify]: Simplify 0 into 0 16.118 * [backup-simplify]: Simplify (* (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (/ 1 (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) into (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 16.118 * [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 16.118 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 16.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 16.119 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 16.119 * [taylor]: Taking taylor expansion of (* b d) in d 16.119 * [taylor]: Taking taylor expansion of b in d 16.119 * [backup-simplify]: Simplify b into b 16.119 * [taylor]: Taking taylor expansion of d in d 16.119 * [backup-simplify]: Simplify 0 into 0 16.119 * [backup-simplify]: Simplify 1 into 1 16.119 * [backup-simplify]: Simplify (* b 0) into 0 16.119 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 16.119 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 16.119 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 16.119 * [taylor]: Taking taylor expansion of (* a c) in d 16.119 * [taylor]: Taking taylor expansion of a in d 16.119 * [backup-simplify]: Simplify a into a 16.119 * [taylor]: Taking taylor expansion of c in d 16.119 * [backup-simplify]: Simplify c into c 16.119 * [backup-simplify]: Simplify (* a c) into (* a c) 16.119 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 16.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 16.120 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 16.120 * [taylor]: Taking taylor expansion of (pow c 2) in d 16.120 * [taylor]: Taking taylor expansion of c in d 16.120 * [backup-simplify]: Simplify c into c 16.120 * [backup-simplify]: Simplify (* c c) into (pow c 2) 16.120 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 16.120 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 16.120 * [taylor]: Taking taylor expansion of (pow d 2) in d 16.120 * [taylor]: Taking taylor expansion of d in d 16.120 * [backup-simplify]: Simplify 0 into 0 16.120 * [backup-simplify]: Simplify 1 into 1 16.120 * [backup-simplify]: Simplify (* 1 1) into 1 16.121 * [backup-simplify]: Simplify (/ 1 1) into 1 16.121 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 16.121 * [backup-simplify]: Simplify (+ 0 1) into 1 16.121 * [backup-simplify]: Simplify (/ (/ 1 b) 1) into (/ 1 b) 16.121 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 16.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 16.121 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 16.121 * [taylor]: Taking taylor expansion of (* b d) in b 16.121 * [taylor]: Taking taylor expansion of b in b 16.121 * [backup-simplify]: Simplify 0 into 0 16.121 * [backup-simplify]: Simplify 1 into 1 16.121 * [taylor]: Taking taylor expansion of d in b 16.121 * [backup-simplify]: Simplify d into d 16.121 * [backup-simplify]: Simplify (* 0 d) into 0 16.122 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 16.122 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 16.122 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 16.122 * [taylor]: Taking taylor expansion of (* a c) in b 16.122 * [taylor]: Taking taylor expansion of a in b 16.122 * [backup-simplify]: Simplify a into a 16.122 * [taylor]: Taking taylor expansion of c in b 16.122 * [backup-simplify]: Simplify c into c 16.122 * [backup-simplify]: Simplify (* a c) into (* a c) 16.122 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 16.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 16.122 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 16.122 * [taylor]: Taking taylor expansion of (pow c 2) in b 16.122 * [taylor]: Taking taylor expansion of c in b 16.122 * [backup-simplify]: Simplify c into c 16.122 * [backup-simplify]: Simplify (* c c) into (pow c 2) 16.122 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 16.122 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 16.123 * [taylor]: Taking taylor expansion of (pow d 2) in b 16.123 * [taylor]: Taking taylor expansion of d in b 16.123 * [backup-simplify]: Simplify d into d 16.123 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.123 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 16.123 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 16.123 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 16.123 * [backup-simplify]: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) 16.123 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 16.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 16.123 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 16.123 * [taylor]: Taking taylor expansion of (* b d) in c 16.123 * [taylor]: Taking taylor expansion of b in c 16.123 * [backup-simplify]: Simplify b into b 16.123 * [taylor]: Taking taylor expansion of d in c 16.123 * [backup-simplify]: Simplify d into d 16.123 * [backup-simplify]: Simplify (* b d) into (* b d) 16.123 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 16.123 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 16.124 * [taylor]: Taking taylor expansion of (* a c) in c 16.124 * [taylor]: Taking taylor expansion of a in c 16.124 * [backup-simplify]: Simplify a into a 16.124 * [taylor]: Taking taylor expansion of c in c 16.124 * [backup-simplify]: Simplify 0 into 0 16.124 * [backup-simplify]: Simplify 1 into 1 16.124 * [backup-simplify]: Simplify (* a 0) into 0 16.124 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 16.124 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 16.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 16.124 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 16.124 * [taylor]: Taking taylor expansion of (pow c 2) in c 16.124 * [taylor]: Taking taylor expansion of c in c 16.124 * [backup-simplify]: Simplify 0 into 0 16.124 * [backup-simplify]: Simplify 1 into 1 16.125 * [backup-simplify]: Simplify (* 1 1) into 1 16.125 * [backup-simplify]: Simplify (/ 1 1) into 1 16.125 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 16.125 * [taylor]: Taking taylor expansion of (pow d 2) in c 16.125 * [taylor]: Taking taylor expansion of d in c 16.125 * [backup-simplify]: Simplify d into d 16.125 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.125 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 16.125 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 16.126 * [backup-simplify]: Simplify (+ 1 0) into 1 16.126 * [backup-simplify]: Simplify (/ (/ 1 a) 1) into (/ 1 a) 16.126 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 16.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 16.126 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 16.126 * [taylor]: Taking taylor expansion of (* b d) in a 16.126 * [taylor]: Taking taylor expansion of b in a 16.126 * [backup-simplify]: Simplify b into b 16.126 * [taylor]: Taking taylor expansion of d in a 16.126 * [backup-simplify]: Simplify d into d 16.126 * [backup-simplify]: Simplify (* b d) into (* b d) 16.126 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 16.126 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 16.126 * [taylor]: Taking taylor expansion of (* a c) in a 16.126 * [taylor]: Taking taylor expansion of a in a 16.126 * [backup-simplify]: Simplify 0 into 0 16.126 * [backup-simplify]: Simplify 1 into 1 16.126 * [taylor]: Taking taylor expansion of c in a 16.126 * [backup-simplify]: Simplify c into c 16.126 * [backup-simplify]: Simplify (* 0 c) into 0 16.127 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 16.127 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 16.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 16.127 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 16.127 * [taylor]: Taking taylor expansion of (pow c 2) in a 16.127 * [taylor]: Taking taylor expansion of c in a 16.127 * [backup-simplify]: Simplify c into c 16.127 * [backup-simplify]: Simplify (* c c) into (pow c 2) 16.127 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 16.127 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 16.127 * [taylor]: Taking taylor expansion of (pow d 2) in a 16.127 * [taylor]: Taking taylor expansion of d in a 16.127 * [backup-simplify]: Simplify d into d 16.127 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.127 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 16.128 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 16.128 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 16.128 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) 16.128 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 16.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 16.128 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 16.128 * [taylor]: Taking taylor expansion of (* b d) in a 16.128 * [taylor]: Taking taylor expansion of b in a 16.128 * [backup-simplify]: Simplify b into b 16.128 * [taylor]: Taking taylor expansion of d in a 16.128 * [backup-simplify]: Simplify d into d 16.128 * [backup-simplify]: Simplify (* b d) into (* b d) 16.128 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 16.128 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 16.128 * [taylor]: Taking taylor expansion of (* a c) in a 16.128 * [taylor]: Taking taylor expansion of a in a 16.128 * [backup-simplify]: Simplify 0 into 0 16.128 * [backup-simplify]: Simplify 1 into 1 16.128 * [taylor]: Taking taylor expansion of c in a 16.128 * [backup-simplify]: Simplify c into c 16.128 * [backup-simplify]: Simplify (* 0 c) into 0 16.129 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 16.129 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 16.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 16.129 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 16.129 * [taylor]: Taking taylor expansion of (pow c 2) in a 16.129 * [taylor]: Taking taylor expansion of c in a 16.129 * [backup-simplify]: Simplify c into c 16.129 * [backup-simplify]: Simplify (* c c) into (pow c 2) 16.129 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 16.129 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 16.129 * [taylor]: Taking taylor expansion of (pow d 2) in a 16.129 * [taylor]: Taking taylor expansion of d in a 16.129 * [backup-simplify]: Simplify d into d 16.129 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.129 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 16.130 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 16.130 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 16.130 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) 16.130 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c 16.130 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c 16.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 16.130 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 16.130 * [taylor]: Taking taylor expansion of (pow c 2) in c 16.130 * [taylor]: Taking taylor expansion of c in c 16.130 * [backup-simplify]: Simplify 0 into 0 16.130 * [backup-simplify]: Simplify 1 into 1 16.131 * [backup-simplify]: Simplify (* 1 1) into 1 16.131 * [backup-simplify]: Simplify (/ 1 1) into 1 16.131 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 16.131 * [taylor]: Taking taylor expansion of (pow d 2) in c 16.131 * [taylor]: Taking taylor expansion of d in c 16.131 * [backup-simplify]: Simplify d into d 16.131 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.131 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 16.131 * [taylor]: Taking taylor expansion of c in c 16.131 * [backup-simplify]: Simplify 0 into 0 16.131 * [backup-simplify]: Simplify 1 into 1 16.132 * [backup-simplify]: Simplify (+ 1 0) into 1 16.132 * [backup-simplify]: Simplify (* 1 0) into 0 16.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.134 * [backup-simplify]: Simplify (+ 0 0) into 0 16.135 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 16.135 * [backup-simplify]: Simplify (/ 1 1) into 1 16.135 * [taylor]: Taking taylor expansion of 1 in b 16.135 * [backup-simplify]: Simplify 1 into 1 16.136 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 16.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 16.136 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 16.136 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 16.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 16.136 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 16.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 16.137 * [backup-simplify]: Simplify (+ 0 0) into 0 16.137 * [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))) 16.138 * [taylor]: Taking taylor expansion of (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c 16.138 * [taylor]: Taking taylor expansion of (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c 16.138 * [taylor]: Taking taylor expansion of b in c 16.138 * [backup-simplify]: Simplify b into b 16.138 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c 16.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 16.138 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 16.138 * [taylor]: Taking taylor expansion of (pow c 2) in c 16.138 * [taylor]: Taking taylor expansion of c in c 16.138 * [backup-simplify]: Simplify 0 into 0 16.138 * [backup-simplify]: Simplify 1 into 1 16.138 * [backup-simplify]: Simplify (* 1 1) into 1 16.138 * [backup-simplify]: Simplify (/ 1 1) into 1 16.138 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 16.138 * [taylor]: Taking taylor expansion of (pow d 2) in c 16.138 * [taylor]: Taking taylor expansion of d in c 16.138 * [backup-simplify]: Simplify d into d 16.138 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.138 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 16.138 * [taylor]: Taking taylor expansion of d in c 16.138 * [backup-simplify]: Simplify d into d 16.139 * [backup-simplify]: Simplify (+ 1 0) into 1 16.139 * [backup-simplify]: Simplify (* 1 d) into d 16.139 * [backup-simplify]: Simplify (* b d) into (* b d) 16.139 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 16.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.140 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 16.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) into 0 16.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.141 * [taylor]: Taking taylor expansion of 0 in b 16.141 * [backup-simplify]: Simplify 0 into 0 16.141 * [taylor]: Taking taylor expansion of 1 in d 16.141 * [backup-simplify]: Simplify 1 into 1 16.141 * [backup-simplify]: Simplify 0 into 0 16.141 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 16.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 16.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 16.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 16.142 * [backup-simplify]: Simplify (+ 0 0) into 0 16.143 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 16.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 16.143 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 16.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 16.143 * [backup-simplify]: Simplify (+ 0 0) into 0 16.144 * [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 16.144 * [taylor]: Taking taylor expansion of 0 in c 16.144 * [backup-simplify]: Simplify 0 into 0 16.144 * [taylor]: Taking taylor expansion of 0 in b 16.144 * [backup-simplify]: Simplify 0 into 0 16.144 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 16.144 * [taylor]: Taking taylor expansion of (* b d) in b 16.144 * [taylor]: Taking taylor expansion of b in b 16.144 * [backup-simplify]: Simplify 0 into 0 16.144 * [backup-simplify]: Simplify 1 into 1 16.144 * [taylor]: Taking taylor expansion of d in b 16.144 * [backup-simplify]: Simplify d into d 16.144 * [backup-simplify]: Simplify (* 0 d) into 0 16.144 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 16.144 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 16.145 * [taylor]: Taking taylor expansion of (/ 1 d) in d 16.145 * [taylor]: Taking taylor expansion of d in d 16.145 * [backup-simplify]: Simplify 0 into 0 16.145 * [backup-simplify]: Simplify 1 into 1 16.145 * [backup-simplify]: Simplify (/ 1 1) into 1 16.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.146 * [backup-simplify]: Simplify 0 into 0 16.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.147 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 16.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 16.148 * [backup-simplify]: Simplify (+ 0 0) into 0 16.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2)) 16.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) 16.149 * [taylor]: Taking taylor expansion of (- (/ 1 (pow d 2))) in b 16.149 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 16.149 * [taylor]: Taking taylor expansion of (pow d 2) in b 16.149 * [taylor]: Taking taylor expansion of d in b 16.149 * [backup-simplify]: Simplify d into d 16.149 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.149 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 16.149 * [taylor]: Taking taylor expansion of 0 in d 16.149 * [backup-simplify]: Simplify 0 into 0 16.149 * [backup-simplify]: Simplify 0 into 0 16.149 * [taylor]: Taking taylor expansion of 0 in d 16.149 * [backup-simplify]: Simplify 0 into 0 16.149 * [backup-simplify]: Simplify 0 into 0 16.149 * [backup-simplify]: Simplify 0 into 0 16.150 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 16.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 16.151 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 16.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 16.151 * [backup-simplify]: Simplify (+ 0 0) into 0 16.152 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 16.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 16.152 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 16.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 16.153 * [backup-simplify]: Simplify (+ 0 0) into 0 16.153 * [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 16.153 * [taylor]: Taking taylor expansion of 0 in c 16.153 * [backup-simplify]: Simplify 0 into 0 16.153 * [taylor]: Taking taylor expansion of 0 in b 16.153 * [backup-simplify]: Simplify 0 into 0 16.153 * [taylor]: Taking taylor expansion of 0 in b 16.153 * [backup-simplify]: Simplify 0 into 0 16.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.155 * [backup-simplify]: Simplify (+ 0 0) into 0 16.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 d)) into 0 16.155 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 16.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 16.155 * [taylor]: Taking taylor expansion of 0 in b 16.155 * [backup-simplify]: Simplify 0 into 0 16.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.157 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 16.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 16.157 * [backup-simplify]: Simplify (+ 0 0) into 0 16.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 16.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 16.159 * [taylor]: Taking taylor expansion of 0 in b 16.159 * [backup-simplify]: Simplify 0 into 0 16.159 * [taylor]: Taking taylor expansion of 0 in d 16.159 * [backup-simplify]: Simplify 0 into 0 16.159 * [backup-simplify]: Simplify 0 into 0 16.159 * [backup-simplify]: Simplify 0 into 0 16.159 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 16.159 * [backup-simplify]: Simplify (/ 1 (+ (* c c) (* d d))) into (/ 1 (+ (pow c 2) (pow d 2))) 16.159 * [approximate]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in (c d) around 0 16.159 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in d 16.159 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 16.159 * [taylor]: Taking taylor expansion of (pow c 2) in d 16.159 * [taylor]: Taking taylor expansion of c in d 16.159 * [backup-simplify]: Simplify c into c 16.159 * [taylor]: Taking taylor expansion of (pow d 2) in d 16.159 * [taylor]: Taking taylor expansion of d in d 16.159 * [backup-simplify]: Simplify 0 into 0 16.159 * [backup-simplify]: Simplify 1 into 1 16.159 * [backup-simplify]: Simplify (* c c) into (pow c 2) 16.159 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 16.159 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 16.159 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c 16.159 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 16.159 * [taylor]: Taking taylor expansion of (pow c 2) in c 16.159 * [taylor]: Taking taylor expansion of c in c 16.159 * [backup-simplify]: Simplify 0 into 0 16.159 * [backup-simplify]: Simplify 1 into 1 16.159 * [taylor]: Taking taylor expansion of (pow d 2) in c 16.159 * [taylor]: Taking taylor expansion of d in c 16.159 * [backup-simplify]: Simplify d into d 16.159 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.159 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 16.159 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 16.159 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c 16.159 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 16.159 * [taylor]: Taking taylor expansion of (pow c 2) in c 16.159 * [taylor]: Taking taylor expansion of c in c 16.160 * [backup-simplify]: Simplify 0 into 0 16.160 * [backup-simplify]: Simplify 1 into 1 16.160 * [taylor]: Taking taylor expansion of (pow d 2) in c 16.160 * [taylor]: Taking taylor expansion of d in c 16.160 * [backup-simplify]: Simplify d into d 16.160 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.160 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 16.160 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 16.160 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 16.160 * [taylor]: Taking taylor expansion of (pow d 2) in d 16.160 * [taylor]: Taking taylor expansion of d in d 16.160 * [backup-simplify]: Simplify 0 into 0 16.160 * [backup-simplify]: Simplify 1 into 1 16.160 * [backup-simplify]: Simplify (* 1 1) into 1 16.160 * [backup-simplify]: Simplify (/ 1 1) into 1 16.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.162 * [backup-simplify]: Simplify 0 into 0 16.162 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 16.163 * [backup-simplify]: Simplify (+ 0 0) into 0 16.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 16.163 * [taylor]: Taking taylor expansion of 0 in d 16.163 * [backup-simplify]: Simplify 0 into 0 16.163 * [backup-simplify]: Simplify 0 into 0 16.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.164 * [backup-simplify]: Simplify 0 into 0 16.164 * [backup-simplify]: Simplify (* 1 1) into 1 16.165 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 16.165 * [backup-simplify]: Simplify (+ 1 0) into 1 16.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ 1 (pow d 4))) 16.165 * [taylor]: Taking taylor expansion of (- (/ 1 (pow d 4))) in d 16.165 * [taylor]: Taking taylor expansion of (/ 1 (pow d 4)) in d 16.165 * [taylor]: Taking taylor expansion of (pow d 4) in d 16.165 * [taylor]: Taking taylor expansion of d in d 16.165 * [backup-simplify]: Simplify 0 into 0 16.165 * [backup-simplify]: Simplify 1 into 1 16.165 * [backup-simplify]: Simplify (* 1 1) into 1 16.166 * [backup-simplify]: Simplify (* 1 1) into 1 16.166 * [backup-simplify]: Simplify (/ 1 1) into 1 16.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.183 * [backup-simplify]: Simplify (- 0) into 0 16.183 * [backup-simplify]: Simplify 0 into 0 16.183 * [backup-simplify]: Simplify 0 into 0 16.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.186 * [backup-simplify]: Simplify 0 into 0 16.187 * [backup-simplify]: Simplify 0 into 0 16.187 * [backup-simplify]: Simplify (/ 1 (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 16.187 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 16.187 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 16.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 16.187 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 16.187 * [taylor]: Taking taylor expansion of (pow c 2) in d 16.187 * [taylor]: Taking taylor expansion of c in d 16.187 * [backup-simplify]: Simplify c into c 16.187 * [backup-simplify]: Simplify (* c c) into (pow c 2) 16.187 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 16.187 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 16.187 * [taylor]: Taking taylor expansion of (pow d 2) in d 16.187 * [taylor]: Taking taylor expansion of d in d 16.187 * [backup-simplify]: Simplify 0 into 0 16.187 * [backup-simplify]: Simplify 1 into 1 16.188 * [backup-simplify]: Simplify (* 1 1) into 1 16.188 * [backup-simplify]: Simplify (/ 1 1) into 1 16.188 * [backup-simplify]: Simplify (+ 0 1) into 1 16.189 * [backup-simplify]: Simplify (/ 1 1) into 1 16.189 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 16.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 16.189 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 16.189 * [taylor]: Taking taylor expansion of (pow c 2) in c 16.189 * [taylor]: Taking taylor expansion of c in c 16.189 * [backup-simplify]: Simplify 0 into 0 16.189 * [backup-simplify]: Simplify 1 into 1 16.189 * [backup-simplify]: Simplify (* 1 1) into 1 16.190 * [backup-simplify]: Simplify (/ 1 1) into 1 16.190 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 16.190 * [taylor]: Taking taylor expansion of (pow d 2) in c 16.190 * [taylor]: Taking taylor expansion of d in c 16.190 * [backup-simplify]: Simplify d into d 16.190 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.190 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 16.191 * [backup-simplify]: Simplify (+ 1 0) into 1 16.191 * [backup-simplify]: Simplify (/ 1 1) into 1 16.191 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 16.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 16.191 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 16.191 * [taylor]: Taking taylor expansion of (pow c 2) in c 16.191 * [taylor]: Taking taylor expansion of c in c 16.191 * [backup-simplify]: Simplify 0 into 0 16.191 * [backup-simplify]: Simplify 1 into 1 16.191 * [backup-simplify]: Simplify (* 1 1) into 1 16.192 * [backup-simplify]: Simplify (/ 1 1) into 1 16.192 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 16.192 * [taylor]: Taking taylor expansion of (pow d 2) in c 16.192 * [taylor]: Taking taylor expansion of d in c 16.192 * [backup-simplify]: Simplify d into d 16.192 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.192 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 16.193 * [backup-simplify]: Simplify (+ 1 0) into 1 16.193 * [backup-simplify]: Simplify (/ 1 1) into 1 16.193 * [taylor]: Taking taylor expansion of 1 in d 16.193 * [backup-simplify]: Simplify 1 into 1 16.193 * [backup-simplify]: Simplify 0 into 0 16.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.195 * [backup-simplify]: Simplify (+ 0 0) into 0 16.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.196 * [taylor]: Taking taylor expansion of 0 in d 16.196 * [backup-simplify]: Simplify 0 into 0 16.196 * [backup-simplify]: Simplify 0 into 0 16.196 * [backup-simplify]: Simplify 0 into 0 16.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.198 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 16.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) 16.199 * [taylor]: Taking taylor expansion of (- (/ 1 (pow d 2))) in d 16.199 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 16.199 * [taylor]: Taking taylor expansion of (pow d 2) in d 16.199 * [taylor]: Taking taylor expansion of d in d 16.199 * [backup-simplify]: Simplify 0 into 0 16.199 * [backup-simplify]: Simplify 1 into 1 16.199 * [backup-simplify]: Simplify (* 1 1) into 1 16.200 * [backup-simplify]: Simplify (/ 1 1) into 1 16.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.207 * [backup-simplify]: Simplify (- 0) into 0 16.207 * [backup-simplify]: Simplify 0 into 0 16.207 * [backup-simplify]: Simplify 0 into 0 16.207 * [backup-simplify]: Simplify 0 into 0 16.207 * [backup-simplify]: Simplify 0 into 0 16.208 * [backup-simplify]: Simplify (/ 1 (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 16.208 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 16.208 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 16.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 16.208 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 16.208 * [taylor]: Taking taylor expansion of (pow c 2) in d 16.208 * [taylor]: Taking taylor expansion of c in d 16.208 * [backup-simplify]: Simplify c into c 16.208 * [backup-simplify]: Simplify (* c c) into (pow c 2) 16.208 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 16.208 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 16.208 * [taylor]: Taking taylor expansion of (pow d 2) in d 16.208 * [taylor]: Taking taylor expansion of d in d 16.208 * [backup-simplify]: Simplify 0 into 0 16.208 * [backup-simplify]: Simplify 1 into 1 16.209 * [backup-simplify]: Simplify (* 1 1) into 1 16.209 * [backup-simplify]: Simplify (/ 1 1) into 1 16.209 * [backup-simplify]: Simplify (+ 0 1) into 1 16.210 * [backup-simplify]: Simplify (/ 1 1) into 1 16.210 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 16.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 16.210 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 16.210 * [taylor]: Taking taylor expansion of (pow c 2) in c 16.210 * [taylor]: Taking taylor expansion of c in c 16.210 * [backup-simplify]: Simplify 0 into 0 16.210 * [backup-simplify]: Simplify 1 into 1 16.210 * [backup-simplify]: Simplify (* 1 1) into 1 16.211 * [backup-simplify]: Simplify (/ 1 1) into 1 16.211 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 16.211 * [taylor]: Taking taylor expansion of (pow d 2) in c 16.211 * [taylor]: Taking taylor expansion of d in c 16.211 * [backup-simplify]: Simplify d into d 16.211 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.211 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 16.211 * [backup-simplify]: Simplify (+ 1 0) into 1 16.212 * [backup-simplify]: Simplify (/ 1 1) into 1 16.212 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 16.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 16.212 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 16.212 * [taylor]: Taking taylor expansion of (pow c 2) in c 16.212 * [taylor]: Taking taylor expansion of c in c 16.212 * [backup-simplify]: Simplify 0 into 0 16.212 * [backup-simplify]: Simplify 1 into 1 16.212 * [backup-simplify]: Simplify (* 1 1) into 1 16.213 * [backup-simplify]: Simplify (/ 1 1) into 1 16.213 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 16.213 * [taylor]: Taking taylor expansion of (pow d 2) in c 16.213 * [taylor]: Taking taylor expansion of d in c 16.213 * [backup-simplify]: Simplify d into d 16.213 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.213 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 16.213 * [backup-simplify]: Simplify (+ 1 0) into 1 16.214 * [backup-simplify]: Simplify (/ 1 1) into 1 16.214 * [taylor]: Taking taylor expansion of 1 in d 16.214 * [backup-simplify]: Simplify 1 into 1 16.214 * [backup-simplify]: Simplify 0 into 0 16.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.216 * [backup-simplify]: Simplify (+ 0 0) into 0 16.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.216 * [taylor]: Taking taylor expansion of 0 in d 16.216 * [backup-simplify]: Simplify 0 into 0 16.217 * [backup-simplify]: Simplify 0 into 0 16.217 * [backup-simplify]: Simplify 0 into 0 16.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.219 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 16.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) 16.219 * [taylor]: Taking taylor expansion of (- (/ 1 (pow d 2))) in d 16.219 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 16.219 * [taylor]: Taking taylor expansion of (pow d 2) in d 16.219 * [taylor]: Taking taylor expansion of d in d 16.219 * [backup-simplify]: Simplify 0 into 0 16.219 * [backup-simplify]: Simplify 1 into 1 16.220 * [backup-simplify]: Simplify (* 1 1) into 1 16.220 * [backup-simplify]: Simplify (/ 1 1) into 1 16.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.228 * [backup-simplify]: Simplify (- 0) into 0 16.228 * [backup-simplify]: Simplify 0 into 0 16.228 * [backup-simplify]: Simplify 0 into 0 16.228 * [backup-simplify]: Simplify 0 into 0 16.228 * [backup-simplify]: Simplify 0 into 0 16.228 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 16.228 * [backup-simplify]: Simplify (+ (* a c) (* b d)) into (+ (* a c) (* b d)) 16.228 * [approximate]: Taking taylor expansion of (+ (* a c) (* b d)) in (a c b d) around 0 16.228 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d 16.228 * [taylor]: Taking taylor expansion of (* a c) in d 16.228 * [taylor]: Taking taylor expansion of a in d 16.228 * [backup-simplify]: Simplify a into a 16.228 * [taylor]: Taking taylor expansion of c in d 16.228 * [backup-simplify]: Simplify c into c 16.228 * [taylor]: Taking taylor expansion of (* b d) in d 16.228 * [taylor]: Taking taylor expansion of b in d 16.228 * [backup-simplify]: Simplify b into b 16.228 * [taylor]: Taking taylor expansion of d in d 16.228 * [backup-simplify]: Simplify 0 into 0 16.228 * [backup-simplify]: Simplify 1 into 1 16.228 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b 16.228 * [taylor]: Taking taylor expansion of (* a c) in b 16.228 * [taylor]: Taking taylor expansion of a in b 16.228 * [backup-simplify]: Simplify a into a 16.229 * [taylor]: Taking taylor expansion of c in b 16.229 * [backup-simplify]: Simplify c into c 16.229 * [taylor]: Taking taylor expansion of (* b d) in b 16.229 * [taylor]: Taking taylor expansion of b in b 16.229 * [backup-simplify]: Simplify 0 into 0 16.229 * [backup-simplify]: Simplify 1 into 1 16.229 * [taylor]: Taking taylor expansion of d in b 16.229 * [backup-simplify]: Simplify d into d 16.229 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c 16.229 * [taylor]: Taking taylor expansion of (* a c) in c 16.229 * [taylor]: Taking taylor expansion of a in c 16.229 * [backup-simplify]: Simplify a into a 16.229 * [taylor]: Taking taylor expansion of c in c 16.229 * [backup-simplify]: Simplify 0 into 0 16.229 * [backup-simplify]: Simplify 1 into 1 16.229 * [taylor]: Taking taylor expansion of (* b d) in c 16.229 * [taylor]: Taking taylor expansion of b in c 16.229 * [backup-simplify]: Simplify b into b 16.229 * [taylor]: Taking taylor expansion of d in c 16.229 * [backup-simplify]: Simplify d into d 16.229 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 16.229 * [taylor]: Taking taylor expansion of (* a c) in a 16.229 * [taylor]: Taking taylor expansion of a in a 16.229 * [backup-simplify]: Simplify 0 into 0 16.229 * [backup-simplify]: Simplify 1 into 1 16.229 * [taylor]: Taking taylor expansion of c in a 16.229 * [backup-simplify]: Simplify c into c 16.229 * [taylor]: Taking taylor expansion of (* b d) in a 16.229 * [taylor]: Taking taylor expansion of b in a 16.229 * [backup-simplify]: Simplify b into b 16.229 * [taylor]: Taking taylor expansion of d in a 16.229 * [backup-simplify]: Simplify d into d 16.229 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 16.229 * [taylor]: Taking taylor expansion of (* a c) in a 16.229 * [taylor]: Taking taylor expansion of a in a 16.229 * [backup-simplify]: Simplify 0 into 0 16.229 * [backup-simplify]: Simplify 1 into 1 16.229 * [taylor]: Taking taylor expansion of c in a 16.229 * [backup-simplify]: Simplify c into c 16.229 * [taylor]: Taking taylor expansion of (* b d) in a 16.230 * [taylor]: Taking taylor expansion of b in a 16.230 * [backup-simplify]: Simplify b into b 16.230 * [taylor]: Taking taylor expansion of d in a 16.230 * [backup-simplify]: Simplify d into d 16.230 * [backup-simplify]: Simplify (* 0 c) into 0 16.230 * [backup-simplify]: Simplify (* b d) into (* b d) 16.230 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 16.230 * [taylor]: Taking taylor expansion of (* b d) in c 16.230 * [taylor]: Taking taylor expansion of b in c 16.230 * [backup-simplify]: Simplify b into b 16.230 * [taylor]: Taking taylor expansion of d in c 16.230 * [backup-simplify]: Simplify d into d 16.230 * [backup-simplify]: Simplify (* b d) into (* b d) 16.230 * [taylor]: Taking taylor expansion of (* b d) in b 16.230 * [taylor]: Taking taylor expansion of b in b 16.230 * [backup-simplify]: Simplify 0 into 0 16.230 * [backup-simplify]: Simplify 1 into 1 16.230 * [taylor]: Taking taylor expansion of d in b 16.230 * [backup-simplify]: Simplify d into d 16.230 * [backup-simplify]: Simplify (* 0 d) into 0 16.230 * [taylor]: Taking taylor expansion of 0 in d 16.230 * [backup-simplify]: Simplify 0 into 0 16.230 * [backup-simplify]: Simplify 0 into 0 16.231 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 16.231 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 16.231 * [backup-simplify]: Simplify (+ c 0) into c 16.231 * [taylor]: Taking taylor expansion of c in c 16.231 * [backup-simplify]: Simplify 0 into 0 16.231 * [backup-simplify]: Simplify 1 into 1 16.231 * [taylor]: Taking taylor expansion of 0 in b 16.231 * [backup-simplify]: Simplify 0 into 0 16.231 * [taylor]: Taking taylor expansion of 0 in d 16.231 * [backup-simplify]: Simplify 0 into 0 16.231 * [backup-simplify]: Simplify 0 into 0 16.231 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 16.231 * [taylor]: Taking taylor expansion of 0 in b 16.231 * [backup-simplify]: Simplify 0 into 0 16.231 * [taylor]: Taking taylor expansion of 0 in d 16.231 * [backup-simplify]: Simplify 0 into 0 16.232 * [backup-simplify]: Simplify 0 into 0 16.232 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 16.232 * [taylor]: Taking taylor expansion of d in d 16.232 * [backup-simplify]: Simplify 0 into 0 16.232 * [backup-simplify]: Simplify 1 into 1 16.232 * [backup-simplify]: Simplify 0 into 0 16.232 * [backup-simplify]: Simplify 0 into 0 16.233 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 16.233 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 16.234 * [backup-simplify]: Simplify (+ 0 0) into 0 16.234 * [taylor]: Taking taylor expansion of 0 in c 16.234 * [backup-simplify]: Simplify 0 into 0 16.234 * [taylor]: Taking taylor expansion of 0 in b 16.234 * [backup-simplify]: Simplify 0 into 0 16.234 * [taylor]: Taking taylor expansion of 0 in d 16.234 * [backup-simplify]: Simplify 0 into 0 16.234 * [backup-simplify]: Simplify 0 into 0 16.234 * [backup-simplify]: Simplify 0 into 0 16.234 * [backup-simplify]: Simplify (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) into (+ (/ 1 (* b d)) (/ 1 (* a c))) 16.234 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0 16.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 16.235 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 16.235 * [taylor]: Taking taylor expansion of (* b d) in d 16.235 * [taylor]: Taking taylor expansion of b in d 16.235 * [backup-simplify]: Simplify b into b 16.235 * [taylor]: Taking taylor expansion of d in d 16.235 * [backup-simplify]: Simplify 0 into 0 16.235 * [backup-simplify]: Simplify 1 into 1 16.235 * [backup-simplify]: Simplify (* b 0) into 0 16.235 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 16.235 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 16.235 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 16.235 * [taylor]: Taking taylor expansion of (* a c) in d 16.235 * [taylor]: Taking taylor expansion of a in d 16.235 * [backup-simplify]: Simplify a into a 16.235 * [taylor]: Taking taylor expansion of c in d 16.235 * [backup-simplify]: Simplify c into c 16.235 * [backup-simplify]: Simplify (* a c) into (* a c) 16.235 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 16.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 16.236 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 16.236 * [taylor]: Taking taylor expansion of (* b d) in b 16.236 * [taylor]: Taking taylor expansion of b in b 16.236 * [backup-simplify]: Simplify 0 into 0 16.236 * [backup-simplify]: Simplify 1 into 1 16.236 * [taylor]: Taking taylor expansion of d in b 16.236 * [backup-simplify]: Simplify d into d 16.236 * [backup-simplify]: Simplify (* 0 d) into 0 16.236 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 16.236 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 16.236 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 16.236 * [taylor]: Taking taylor expansion of (* a c) in b 16.236 * [taylor]: Taking taylor expansion of a in b 16.236 * [backup-simplify]: Simplify a into a 16.236 * [taylor]: Taking taylor expansion of c in b 16.236 * [backup-simplify]: Simplify c into c 16.236 * [backup-simplify]: Simplify (* a c) into (* a c) 16.236 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 16.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 16.237 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 16.237 * [taylor]: Taking taylor expansion of (* b d) in c 16.237 * [taylor]: Taking taylor expansion of b in c 16.237 * [backup-simplify]: Simplify b into b 16.237 * [taylor]: Taking taylor expansion of d in c 16.237 * [backup-simplify]: Simplify d into d 16.237 * [backup-simplify]: Simplify (* b d) into (* b d) 16.237 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 16.237 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 16.237 * [taylor]: Taking taylor expansion of (* a c) in c 16.237 * [taylor]: Taking taylor expansion of a in c 16.237 * [backup-simplify]: Simplify a into a 16.237 * [taylor]: Taking taylor expansion of c in c 16.237 * [backup-simplify]: Simplify 0 into 0 16.237 * [backup-simplify]: Simplify 1 into 1 16.237 * [backup-simplify]: Simplify (* a 0) into 0 16.237 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 16.238 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 16.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 16.238 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 16.238 * [taylor]: Taking taylor expansion of (* b d) in a 16.238 * [taylor]: Taking taylor expansion of b in a 16.238 * [backup-simplify]: Simplify b into b 16.238 * [taylor]: Taking taylor expansion of d in a 16.238 * [backup-simplify]: Simplify d into d 16.238 * [backup-simplify]: Simplify (* b d) into (* b d) 16.238 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 16.238 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 16.238 * [taylor]: Taking taylor expansion of (* a c) in a 16.238 * [taylor]: Taking taylor expansion of a in a 16.238 * [backup-simplify]: Simplify 0 into 0 16.238 * [backup-simplify]: Simplify 1 into 1 16.238 * [taylor]: Taking taylor expansion of c in a 16.238 * [backup-simplify]: Simplify c into c 16.238 * [backup-simplify]: Simplify (* 0 c) into 0 16.239 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 16.239 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 16.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 16.239 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 16.239 * [taylor]: Taking taylor expansion of (* b d) in a 16.239 * [taylor]: Taking taylor expansion of b in a 16.239 * [backup-simplify]: Simplify b into b 16.239 * [taylor]: Taking taylor expansion of d in a 16.239 * [backup-simplify]: Simplify d into d 16.239 * [backup-simplify]: Simplify (* b d) into (* b d) 16.239 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 16.239 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 16.239 * [taylor]: Taking taylor expansion of (* a c) in a 16.239 * [taylor]: Taking taylor expansion of a in a 16.239 * [backup-simplify]: Simplify 0 into 0 16.239 * [backup-simplify]: Simplify 1 into 1 16.239 * [taylor]: Taking taylor expansion of c in a 16.239 * [backup-simplify]: Simplify c into c 16.239 * [backup-simplify]: Simplify (* 0 c) into 0 16.240 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 16.240 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 16.240 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 16.240 * [taylor]: Taking taylor expansion of (/ 1 c) in c 16.240 * [taylor]: Taking taylor expansion of c in c 16.240 * [backup-simplify]: Simplify 0 into 0 16.240 * [backup-simplify]: Simplify 1 into 1 16.240 * [backup-simplify]: Simplify (/ 1 1) into 1 16.240 * [taylor]: Taking taylor expansion of 1 in b 16.240 * [backup-simplify]: Simplify 1 into 1 16.241 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 16.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 16.242 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 16.242 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 16.242 * [taylor]: Taking taylor expansion of (* b d) in c 16.242 * [taylor]: Taking taylor expansion of b in c 16.242 * [backup-simplify]: Simplify b into b 16.242 * [taylor]: Taking taylor expansion of d in c 16.242 * [backup-simplify]: Simplify d into d 16.242 * [backup-simplify]: Simplify (* b d) into (* b d) 16.242 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 16.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.243 * [taylor]: Taking taylor expansion of 0 in b 16.243 * [backup-simplify]: Simplify 0 into 0 16.243 * [taylor]: Taking taylor expansion of 1 in d 16.243 * [backup-simplify]: Simplify 1 into 1 16.243 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 16.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 16.244 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 16.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 16.245 * [backup-simplify]: Simplify (+ 0 0) into 0 16.245 * [taylor]: Taking taylor expansion of 0 in c 16.245 * [backup-simplify]: Simplify 0 into 0 16.245 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 16.245 * [taylor]: Taking taylor expansion of (* b d) in b 16.245 * [taylor]: Taking taylor expansion of b in b 16.245 * [backup-simplify]: Simplify 0 into 0 16.245 * [backup-simplify]: Simplify 1 into 1 16.245 * [taylor]: Taking taylor expansion of d in b 16.245 * [backup-simplify]: Simplify d into d 16.245 * [backup-simplify]: Simplify (* 0 d) into 0 16.246 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 16.246 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 16.246 * [taylor]: Taking taylor expansion of (/ 1 d) in d 16.246 * [taylor]: Taking taylor expansion of d in d 16.246 * [backup-simplify]: Simplify 0 into 0 16.246 * [backup-simplify]: Simplify 1 into 1 16.247 * [backup-simplify]: Simplify (/ 1 1) into 1 16.247 * [backup-simplify]: Simplify 1 into 1 16.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.248 * [taylor]: Taking taylor expansion of 0 in b 16.248 * [backup-simplify]: Simplify 0 into 0 16.248 * [taylor]: Taking taylor expansion of 0 in d 16.248 * [backup-simplify]: Simplify 0 into 0 16.248 * [taylor]: Taking taylor expansion of 0 in d 16.248 * [backup-simplify]: Simplify 0 into 0 16.248 * [backup-simplify]: Simplify 1 into 1 16.248 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 16.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 16.250 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 16.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 16.251 * [backup-simplify]: Simplify (+ 0 0) into 0 16.251 * [taylor]: Taking taylor expansion of 0 in c 16.251 * [backup-simplify]: Simplify 0 into 0 16.251 * [taylor]: Taking taylor expansion of 0 in b 16.251 * [backup-simplify]: Simplify 0 into 0 16.251 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 16.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 16.251 * [taylor]: Taking taylor expansion of 0 in b 16.251 * [backup-simplify]: Simplify 0 into 0 16.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.252 * [taylor]: Taking taylor expansion of 0 in b 16.252 * [backup-simplify]: Simplify 0 into 0 16.253 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 16.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 16.253 * [taylor]: Taking taylor expansion of 0 in d 16.253 * [backup-simplify]: Simplify 0 into 0 16.253 * [taylor]: Taking taylor expansion of 0 in d 16.253 * [backup-simplify]: Simplify 0 into 0 16.253 * [taylor]: Taking taylor expansion of 0 in d 16.253 * [backup-simplify]: Simplify 0 into 0 16.254 * [taylor]: Taking taylor expansion of 0 in d 16.254 * [backup-simplify]: Simplify 0 into 0 16.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.254 * [backup-simplify]: Simplify 0 into 0 16.254 * [backup-simplify]: Simplify 0 into 0 16.255 * [backup-simplify]: Simplify 0 into 0 16.255 * [backup-simplify]: Simplify 0 into 0 16.255 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 16.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 16.258 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0 16.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 16.259 * [backup-simplify]: Simplify (+ 0 0) into 0 16.259 * [taylor]: Taking taylor expansion of 0 in c 16.259 * [backup-simplify]: Simplify 0 into 0 16.259 * [taylor]: Taking taylor expansion of 0 in b 16.259 * [backup-simplify]: Simplify 0 into 0 16.259 * [taylor]: Taking taylor expansion of 0 in b 16.259 * [backup-simplify]: Simplify 0 into 0 16.259 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 16.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 16.260 * [taylor]: Taking taylor expansion of 0 in b 16.260 * [backup-simplify]: Simplify 0 into 0 16.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.261 * [taylor]: Taking taylor expansion of 0 in b 16.261 * [backup-simplify]: Simplify 0 into 0 16.261 * [taylor]: Taking taylor expansion of 0 in d 16.261 * [backup-simplify]: Simplify 0 into 0 16.261 * [taylor]: Taking taylor expansion of 0 in d 16.261 * [backup-simplify]: Simplify 0 into 0 16.261 * [taylor]: Taking taylor expansion of 0 in d 16.261 * [backup-simplify]: Simplify 0 into 0 16.262 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 16.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 16.262 * [taylor]: Taking taylor expansion of 0 in d 16.262 * [backup-simplify]: Simplify 0 into 0 16.262 * [taylor]: Taking taylor expansion of 0 in d 16.262 * [backup-simplify]: Simplify 0 into 0 16.262 * [taylor]: Taking taylor expansion of 0 in d 16.262 * [backup-simplify]: Simplify 0 into 0 16.262 * [taylor]: Taking taylor expansion of 0 in d 16.263 * [backup-simplify]: Simplify 0 into 0 16.263 * [backup-simplify]: Simplify 0 into 0 16.263 * [backup-simplify]: Simplify 0 into 0 16.263 * [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)) 16.264 * [backup-simplify]: Simplify (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) into (+ (/ 1 (* b d)) (/ 1 (* a c))) 16.264 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0 16.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 16.264 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 16.264 * [taylor]: Taking taylor expansion of (* b d) in d 16.264 * [taylor]: Taking taylor expansion of b in d 16.264 * [backup-simplify]: Simplify b into b 16.264 * [taylor]: Taking taylor expansion of d in d 16.264 * [backup-simplify]: Simplify 0 into 0 16.264 * [backup-simplify]: Simplify 1 into 1 16.264 * [backup-simplify]: Simplify (* b 0) into 0 16.264 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 16.265 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 16.265 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 16.265 * [taylor]: Taking taylor expansion of (* a c) in d 16.265 * [taylor]: Taking taylor expansion of a in d 16.265 * [backup-simplify]: Simplify a into a 16.265 * [taylor]: Taking taylor expansion of c in d 16.265 * [backup-simplify]: Simplify c into c 16.265 * [backup-simplify]: Simplify (* a c) into (* a c) 16.265 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 16.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 16.265 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 16.265 * [taylor]: Taking taylor expansion of (* b d) in b 16.265 * [taylor]: Taking taylor expansion of b in b 16.265 * [backup-simplify]: Simplify 0 into 0 16.265 * [backup-simplify]: Simplify 1 into 1 16.265 * [taylor]: Taking taylor expansion of d in b 16.265 * [backup-simplify]: Simplify d into d 16.265 * [backup-simplify]: Simplify (* 0 d) into 0 16.265 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 16.266 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 16.266 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 16.266 * [taylor]: Taking taylor expansion of (* a c) in b 16.266 * [taylor]: Taking taylor expansion of a in b 16.266 * [backup-simplify]: Simplify a into a 16.266 * [taylor]: Taking taylor expansion of c in b 16.266 * [backup-simplify]: Simplify c into c 16.266 * [backup-simplify]: Simplify (* a c) into (* a c) 16.266 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 16.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 16.266 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 16.266 * [taylor]: Taking taylor expansion of (* b d) in c 16.266 * [taylor]: Taking taylor expansion of b in c 16.266 * [backup-simplify]: Simplify b into b 16.266 * [taylor]: Taking taylor expansion of d in c 16.266 * [backup-simplify]: Simplify d into d 16.266 * [backup-simplify]: Simplify (* b d) into (* b d) 16.266 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 16.266 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 16.266 * [taylor]: Taking taylor expansion of (* a c) in c 16.266 * [taylor]: Taking taylor expansion of a in c 16.266 * [backup-simplify]: Simplify a into a 16.266 * [taylor]: Taking taylor expansion of c in c 16.266 * [backup-simplify]: Simplify 0 into 0 16.266 * [backup-simplify]: Simplify 1 into 1 16.266 * [backup-simplify]: Simplify (* a 0) into 0 16.267 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 16.267 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 16.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 16.267 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 16.267 * [taylor]: Taking taylor expansion of (* b d) in a 16.267 * [taylor]: Taking taylor expansion of b in a 16.267 * [backup-simplify]: Simplify b into b 16.267 * [taylor]: Taking taylor expansion of d in a 16.267 * [backup-simplify]: Simplify d into d 16.267 * [backup-simplify]: Simplify (* b d) into (* b d) 16.267 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 16.267 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 16.267 * [taylor]: Taking taylor expansion of (* a c) in a 16.267 * [taylor]: Taking taylor expansion of a in a 16.267 * [backup-simplify]: Simplify 0 into 0 16.267 * [backup-simplify]: Simplify 1 into 1 16.267 * [taylor]: Taking taylor expansion of c in a 16.267 * [backup-simplify]: Simplify c into c 16.267 * [backup-simplify]: Simplify (* 0 c) into 0 16.268 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 16.268 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 16.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 16.268 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 16.268 * [taylor]: Taking taylor expansion of (* b d) in a 16.268 * [taylor]: Taking taylor expansion of b in a 16.268 * [backup-simplify]: Simplify b into b 16.268 * [taylor]: Taking taylor expansion of d in a 16.268 * [backup-simplify]: Simplify d into d 16.268 * [backup-simplify]: Simplify (* b d) into (* b d) 16.268 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 16.268 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 16.268 * [taylor]: Taking taylor expansion of (* a c) in a 16.268 * [taylor]: Taking taylor expansion of a in a 16.268 * [backup-simplify]: Simplify 0 into 0 16.268 * [backup-simplify]: Simplify 1 into 1 16.268 * [taylor]: Taking taylor expansion of c in a 16.268 * [backup-simplify]: Simplify c into c 16.268 * [backup-simplify]: Simplify (* 0 c) into 0 16.269 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 16.269 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 16.269 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 16.269 * [taylor]: Taking taylor expansion of (/ 1 c) in c 16.269 * [taylor]: Taking taylor expansion of c in c 16.269 * [backup-simplify]: Simplify 0 into 0 16.269 * [backup-simplify]: Simplify 1 into 1 16.269 * [backup-simplify]: Simplify (/ 1 1) into 1 16.270 * [taylor]: Taking taylor expansion of 1 in b 16.270 * [backup-simplify]: Simplify 1 into 1 16.270 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 16.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 16.271 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 16.271 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 16.271 * [taylor]: Taking taylor expansion of (* b d) in c 16.271 * [taylor]: Taking taylor expansion of b in c 16.271 * [backup-simplify]: Simplify b into b 16.271 * [taylor]: Taking taylor expansion of d in c 16.271 * [backup-simplify]: Simplify d into d 16.271 * [backup-simplify]: Simplify (* b d) into (* b d) 16.271 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 16.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.272 * [taylor]: Taking taylor expansion of 0 in b 16.272 * [backup-simplify]: Simplify 0 into 0 16.272 * [taylor]: Taking taylor expansion of 1 in d 16.272 * [backup-simplify]: Simplify 1 into 1 16.272 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 16.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 16.273 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 16.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 16.274 * [backup-simplify]: Simplify (+ 0 0) into 0 16.274 * [taylor]: Taking taylor expansion of 0 in c 16.274 * [backup-simplify]: Simplify 0 into 0 16.274 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 16.274 * [taylor]: Taking taylor expansion of (* b d) in b 16.274 * [taylor]: Taking taylor expansion of b in b 16.274 * [backup-simplify]: Simplify 0 into 0 16.274 * [backup-simplify]: Simplify 1 into 1 16.274 * [taylor]: Taking taylor expansion of d in b 16.274 * [backup-simplify]: Simplify d into d 16.274 * [backup-simplify]: Simplify (* 0 d) into 0 16.275 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 16.275 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 16.275 * [taylor]: Taking taylor expansion of (/ 1 d) in d 16.275 * [taylor]: Taking taylor expansion of d in d 16.275 * [backup-simplify]: Simplify 0 into 0 16.275 * [backup-simplify]: Simplify 1 into 1 16.276 * [backup-simplify]: Simplify (/ 1 1) into 1 16.276 * [backup-simplify]: Simplify 1 into 1 16.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.277 * [taylor]: Taking taylor expansion of 0 in b 16.277 * [backup-simplify]: Simplify 0 into 0 16.277 * [taylor]: Taking taylor expansion of 0 in d 16.277 * [backup-simplify]: Simplify 0 into 0 16.277 * [taylor]: Taking taylor expansion of 0 in d 16.277 * [backup-simplify]: Simplify 0 into 0 16.277 * [backup-simplify]: Simplify 1 into 1 16.277 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 16.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 16.279 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 16.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 16.280 * [backup-simplify]: Simplify (+ 0 0) into 0 16.280 * [taylor]: Taking taylor expansion of 0 in c 16.280 * [backup-simplify]: Simplify 0 into 0 16.280 * [taylor]: Taking taylor expansion of 0 in b 16.280 * [backup-simplify]: Simplify 0 into 0 16.280 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 16.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 16.280 * [taylor]: Taking taylor expansion of 0 in b 16.280 * [backup-simplify]: Simplify 0 into 0 16.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.281 * [taylor]: Taking taylor expansion of 0 in b 16.281 * [backup-simplify]: Simplify 0 into 0 16.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 16.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 16.282 * [taylor]: Taking taylor expansion of 0 in d 16.282 * [backup-simplify]: Simplify 0 into 0 16.282 * [taylor]: Taking taylor expansion of 0 in d 16.282 * [backup-simplify]: Simplify 0 into 0 16.282 * [taylor]: Taking taylor expansion of 0 in d 16.282 * [backup-simplify]: Simplify 0 into 0 16.283 * [taylor]: Taking taylor expansion of 0 in d 16.283 * [backup-simplify]: Simplify 0 into 0 16.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.283 * [backup-simplify]: Simplify 0 into 0 16.283 * [backup-simplify]: Simplify 0 into 0 16.284 * [backup-simplify]: Simplify 0 into 0 16.284 * [backup-simplify]: Simplify 0 into 0 16.284 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 16.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 16.287 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0 16.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 16.287 * [backup-simplify]: Simplify (+ 0 0) into 0 16.287 * [taylor]: Taking taylor expansion of 0 in c 16.287 * [backup-simplify]: Simplify 0 into 0 16.287 * [taylor]: Taking taylor expansion of 0 in b 16.287 * [backup-simplify]: Simplify 0 into 0 16.287 * [taylor]: Taking taylor expansion of 0 in b 16.287 * [backup-simplify]: Simplify 0 into 0 16.288 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 16.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 16.288 * [taylor]: Taking taylor expansion of 0 in b 16.288 * [backup-simplify]: Simplify 0 into 0 16.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.289 * [taylor]: Taking taylor expansion of 0 in b 16.289 * [backup-simplify]: Simplify 0 into 0 16.289 * [taylor]: Taking taylor expansion of 0 in d 16.289 * [backup-simplify]: Simplify 0 into 0 16.289 * [taylor]: Taking taylor expansion of 0 in d 16.289 * [backup-simplify]: Simplify 0 into 0 16.289 * [taylor]: Taking taylor expansion of 0 in d 16.289 * [backup-simplify]: Simplify 0 into 0 16.291 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 16.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 16.291 * [taylor]: Taking taylor expansion of 0 in d 16.291 * [backup-simplify]: Simplify 0 into 0 16.291 * [taylor]: Taking taylor expansion of 0 in d 16.291 * [backup-simplify]: Simplify 0 into 0 16.291 * [taylor]: Taking taylor expansion of 0 in d 16.291 * [backup-simplify]: Simplify 0 into 0 16.291 * [taylor]: Taking taylor expansion of 0 in d 16.291 * [backup-simplify]: Simplify 0 into 0 16.291 * [backup-simplify]: Simplify 0 into 0 16.291 * [backup-simplify]: Simplify 0 into 0 16.292 * [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)) 16.292 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 16.292 * [backup-simplify]: Simplify (+ (* c c) (* d d)) into (+ (pow c 2) (pow d 2)) 16.292 * [approximate]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in (c d) around 0 16.292 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 16.292 * [taylor]: Taking taylor expansion of (pow c 2) in d 16.292 * [taylor]: Taking taylor expansion of c in d 16.292 * [backup-simplify]: Simplify c into c 16.292 * [taylor]: Taking taylor expansion of (pow d 2) in d 16.292 * [taylor]: Taking taylor expansion of d in d 16.292 * [backup-simplify]: Simplify 0 into 0 16.292 * [backup-simplify]: Simplify 1 into 1 16.292 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 16.292 * [taylor]: Taking taylor expansion of (pow c 2) in c 16.292 * [taylor]: Taking taylor expansion of c in c 16.292 * [backup-simplify]: Simplify 0 into 0 16.292 * [backup-simplify]: Simplify 1 into 1 16.293 * [taylor]: Taking taylor expansion of (pow d 2) in c 16.293 * [taylor]: Taking taylor expansion of d in c 16.293 * [backup-simplify]: Simplify d into d 16.293 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 16.293 * [taylor]: Taking taylor expansion of (pow c 2) in c 16.293 * [taylor]: Taking taylor expansion of c in c 16.293 * [backup-simplify]: Simplify 0 into 0 16.293 * [backup-simplify]: Simplify 1 into 1 16.293 * [taylor]: Taking taylor expansion of (pow d 2) in c 16.293 * [taylor]: Taking taylor expansion of d in c 16.293 * [backup-simplify]: Simplify d into d 16.293 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.293 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 16.293 * [taylor]: Taking taylor expansion of (pow d 2) in d 16.293 * [taylor]: Taking taylor expansion of d in d 16.293 * [backup-simplify]: Simplify 0 into 0 16.293 * [backup-simplify]: Simplify 1 into 1 16.293 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 16.294 * [backup-simplify]: Simplify (+ 0 0) into 0 16.294 * [taylor]: Taking taylor expansion of 0 in d 16.294 * [backup-simplify]: Simplify 0 into 0 16.294 * [backup-simplify]: Simplify 0 into 0 16.294 * [backup-simplify]: Simplify (* 1 1) into 1 16.294 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 16.295 * [backup-simplify]: Simplify (+ 1 0) into 1 16.295 * [taylor]: Taking taylor expansion of 1 in d 16.295 * [backup-simplify]: Simplify 1 into 1 16.295 * [backup-simplify]: Simplify 1 into 1 16.295 * [backup-simplify]: Simplify 0 into 0 16.296 * [backup-simplify]: Simplify (* 1 1) into 1 16.296 * [backup-simplify]: Simplify 1 into 1 16.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.297 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 16.297 * [backup-simplify]: Simplify (+ 0 0) into 0 16.297 * [taylor]: Taking taylor expansion of 0 in d 16.297 * [backup-simplify]: Simplify 0 into 0 16.297 * [backup-simplify]: Simplify 0 into 0 16.298 * [backup-simplify]: Simplify 0 into 0 16.298 * [backup-simplify]: Simplify 0 into 0 16.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.298 * [backup-simplify]: Simplify 0 into 0 16.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.300 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 d))))) into 0 16.301 * [backup-simplify]: Simplify (+ 0 0) into 0 16.301 * [taylor]: Taking taylor expansion of 0 in d 16.301 * [backup-simplify]: Simplify 0 into 0 16.301 * [backup-simplify]: Simplify 0 into 0 16.301 * [backup-simplify]: Simplify 0 into 0 16.301 * [backup-simplify]: Simplify (+ (* 1 (pow (* d 1) 2)) (* 1 (pow (* 1 c) 2))) into (+ (pow d 2) (pow c 2)) 16.301 * [backup-simplify]: Simplify (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 16.301 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in (c d) around 0 16.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 16.302 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 16.302 * [taylor]: Taking taylor expansion of (pow c 2) in d 16.302 * [taylor]: Taking taylor expansion of c in d 16.302 * [backup-simplify]: Simplify c into c 16.302 * [backup-simplify]: Simplify (* c c) into (pow c 2) 16.302 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 16.302 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 16.302 * [taylor]: Taking taylor expansion of (pow d 2) in d 16.302 * [taylor]: Taking taylor expansion of d in d 16.302 * [backup-simplify]: Simplify 0 into 0 16.302 * [backup-simplify]: Simplify 1 into 1 16.302 * [backup-simplify]: Simplify (* 1 1) into 1 16.303 * [backup-simplify]: Simplify (/ 1 1) into 1 16.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 16.303 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 16.303 * [taylor]: Taking taylor expansion of (pow c 2) in c 16.303 * [taylor]: Taking taylor expansion of c in c 16.303 * [backup-simplify]: Simplify 0 into 0 16.303 * [backup-simplify]: Simplify 1 into 1 16.303 * [backup-simplify]: Simplify (* 1 1) into 1 16.304 * [backup-simplify]: Simplify (/ 1 1) into 1 16.304 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 16.304 * [taylor]: Taking taylor expansion of (pow d 2) in c 16.304 * [taylor]: Taking taylor expansion of d in c 16.304 * [backup-simplify]: Simplify d into d 16.304 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.304 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 16.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 16.304 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 16.304 * [taylor]: Taking taylor expansion of (pow c 2) in c 16.304 * [taylor]: Taking taylor expansion of c in c 16.304 * [backup-simplify]: Simplify 0 into 0 16.304 * [backup-simplify]: Simplify 1 into 1 16.304 * [backup-simplify]: Simplify (* 1 1) into 1 16.305 * [backup-simplify]: Simplify (/ 1 1) into 1 16.305 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 16.305 * [taylor]: Taking taylor expansion of (pow d 2) in c 16.305 * [taylor]: Taking taylor expansion of d in c 16.305 * [backup-simplify]: Simplify d into d 16.305 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.305 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 16.305 * [backup-simplify]: Simplify (+ 1 0) into 1 16.306 * [taylor]: Taking taylor expansion of 1 in d 16.306 * [backup-simplify]: Simplify 1 into 1 16.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.307 * [backup-simplify]: Simplify (+ 0 0) into 0 16.307 * [taylor]: Taking taylor expansion of 0 in d 16.307 * [backup-simplify]: Simplify 0 into 0 16.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.309 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 16.309 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 16.309 * [taylor]: Taking taylor expansion of (pow d 2) in d 16.309 * [taylor]: Taking taylor expansion of d in d 16.309 * [backup-simplify]: Simplify 0 into 0 16.309 * [backup-simplify]: Simplify 1 into 1 16.310 * [backup-simplify]: Simplify (* 1 1) into 1 16.310 * [backup-simplify]: Simplify (/ 1 1) into 1 16.310 * [backup-simplify]: Simplify 1 into 1 16.310 * [backup-simplify]: Simplify 1 into 1 16.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.313 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 16.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 16.313 * [backup-simplify]: Simplify (+ 0 0) into 0 16.313 * [taylor]: Taking taylor expansion of 0 in d 16.313 * [backup-simplify]: Simplify 0 into 0 16.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.315 * [backup-simplify]: Simplify 0 into 0 16.315 * [backup-simplify]: Simplify 0 into 0 16.315 * [backup-simplify]: Simplify 0 into 0 16.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.317 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 16.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 16.318 * [backup-simplify]: Simplify (+ 0 0) into 0 16.318 * [taylor]: Taking taylor expansion of 0 in d 16.318 * [backup-simplify]: Simplify 0 into 0 16.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.319 * [backup-simplify]: Simplify 0 into 0 16.319 * [backup-simplify]: Simplify 0 into 0 16.319 * [backup-simplify]: Simplify 0 into 0 16.320 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 c))) 2)) (* 1 (pow (* (/ 1 (/ 1 d)) 1) 2))) into (+ (pow c 2) (pow d 2)) 16.320 * [backup-simplify]: Simplify (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 16.320 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in (c d) around 0 16.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 16.320 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 16.320 * [taylor]: Taking taylor expansion of (pow c 2) in d 16.320 * [taylor]: Taking taylor expansion of c in d 16.320 * [backup-simplify]: Simplify c into c 16.320 * [backup-simplify]: Simplify (* c c) into (pow c 2) 16.320 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 16.320 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 16.320 * [taylor]: Taking taylor expansion of (pow d 2) in d 16.320 * [taylor]: Taking taylor expansion of d in d 16.320 * [backup-simplify]: Simplify 0 into 0 16.320 * [backup-simplify]: Simplify 1 into 1 16.320 * [backup-simplify]: Simplify (* 1 1) into 1 16.321 * [backup-simplify]: Simplify (/ 1 1) into 1 16.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 16.321 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 16.321 * [taylor]: Taking taylor expansion of (pow c 2) in c 16.321 * [taylor]: Taking taylor expansion of c in c 16.321 * [backup-simplify]: Simplify 0 into 0 16.321 * [backup-simplify]: Simplify 1 into 1 16.321 * [backup-simplify]: Simplify (* 1 1) into 1 16.321 * [backup-simplify]: Simplify (/ 1 1) into 1 16.321 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 16.321 * [taylor]: Taking taylor expansion of (pow d 2) in c 16.321 * [taylor]: Taking taylor expansion of d in c 16.321 * [backup-simplify]: Simplify d into d 16.321 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.321 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 16.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 16.321 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 16.321 * [taylor]: Taking taylor expansion of (pow c 2) in c 16.321 * [taylor]: Taking taylor expansion of c in c 16.321 * [backup-simplify]: Simplify 0 into 0 16.321 * [backup-simplify]: Simplify 1 into 1 16.322 * [backup-simplify]: Simplify (* 1 1) into 1 16.322 * [backup-simplify]: Simplify (/ 1 1) into 1 16.322 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 16.322 * [taylor]: Taking taylor expansion of (pow d 2) in c 16.322 * [taylor]: Taking taylor expansion of d in c 16.322 * [backup-simplify]: Simplify d into d 16.322 * [backup-simplify]: Simplify (* d d) into (pow d 2) 16.322 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 16.322 * [backup-simplify]: Simplify (+ 1 0) into 1 16.322 * [taylor]: Taking taylor expansion of 1 in d 16.322 * [backup-simplify]: Simplify 1 into 1 16.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.324 * [backup-simplify]: Simplify (+ 0 0) into 0 16.324 * [taylor]: Taking taylor expansion of 0 in d 16.324 * [backup-simplify]: Simplify 0 into 0 16.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.325 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 16.325 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 16.325 * [taylor]: Taking taylor expansion of (pow d 2) in d 16.325 * [taylor]: Taking taylor expansion of d in d 16.325 * [backup-simplify]: Simplify 0 into 0 16.325 * [backup-simplify]: Simplify 1 into 1 16.325 * [backup-simplify]: Simplify (* 1 1) into 1 16.325 * [backup-simplify]: Simplify (/ 1 1) into 1 16.325 * [backup-simplify]: Simplify 1 into 1 16.325 * [backup-simplify]: Simplify 1 into 1 16.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.331 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 16.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 16.331 * [backup-simplify]: Simplify (+ 0 0) into 0 16.331 * [taylor]: Taking taylor expansion of 0 in d 16.331 * [backup-simplify]: Simplify 0 into 0 16.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.332 * [backup-simplify]: Simplify 0 into 0 16.332 * [backup-simplify]: Simplify 0 into 0 16.332 * [backup-simplify]: Simplify 0 into 0 16.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.333 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 16.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 16.334 * [backup-simplify]: Simplify (+ 0 0) into 0 16.334 * [taylor]: Taking taylor expansion of 0 in d 16.334 * [backup-simplify]: Simplify 0 into 0 16.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.335 * [backup-simplify]: Simplify 0 into 0 16.335 * [backup-simplify]: Simplify 0 into 0 16.335 * [backup-simplify]: Simplify 0 into 0 16.335 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- c)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- d))) 1) 2))) into (+ (pow c 2) (pow d 2)) 16.335 * * * [progress]: simplifying candidates 16.335 * * * * [progress]: [ 1 / 113 ] simplifiying candidate # 16.335 * [simplify]: Simplifying (* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d)))) 16.336 * * [simplify]: iters left: 6 (13 enodes) 16.339 * * [simplify]: iters left: 5 (48 enodes) 16.346 * * [simplify]: iters left: 4 (62 enodes) 16.368 * * [simplify]: iters left: 3 (107 enodes) 16.404 * * [simplify]: iters left: 2 (161 enodes) 16.444 * * [simplify]: iters left: 1 (187 enodes) 16.468 * * [simplify]: Extracting #0: cost 1 inf + 0 16.468 * * [simplify]: Extracting #1: cost 9 inf + 0 16.468 * * [simplify]: Extracting #2: cost 36 inf + 1 16.469 * * [simplify]: Extracting #3: cost 44 inf + 88 16.469 * * [simplify]: Extracting #4: cost 38 inf + 420 16.470 * * [simplify]: Extracting #5: cost 10 inf + 5338 16.472 * * [simplify]: Extracting #6: cost 0 inf + 7329 16.474 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) 16.474 * [simplify]: Simplified (2 1) to (λ (a b c d) (pow (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) 1)) 16.474 * * * * [progress]: [ 2 / 113 ] simplifiying candidate # 16.474 * * * * [progress]: [ 3 / 113 ] simplifiying candidate # 16.474 * [simplify]: Simplifying (+ (log (+ (* a c) (* b d))) (- (log (+ (* c c) (* d d))))) 16.474 * * [simplify]: iters left: 6 (14 enodes) 16.477 * * [simplify]: iters left: 5 (48 enodes) 16.483 * * [simplify]: Extracting #0: cost 1 inf + 0 16.483 * * [simplify]: Extracting #1: cost 5 inf + 0 16.483 * * [simplify]: Extracting #2: cost 10 inf + 0 16.483 * * [simplify]: Extracting #3: cost 16 inf + 0 16.483 * * [simplify]: Extracting #4: cost 24 inf + 0 16.484 * * [simplify]: Extracting #5: cost 18 inf + 87 16.484 * * [simplify]: Extracting #6: cost 11 inf + 613 16.484 * * [simplify]: Extracting #7: cost 4 inf + 1942 16.485 * * [simplify]: Extracting #8: cost 0 inf + 2912 16.485 * [simplify]: Simplified to (- (log (+ (* b d) (* a c))) (log (+ (* c c) (* d d)))) 16.485 * [simplify]: Simplified (2 1) to (λ (a b c d) (exp (- (log (+ (* b d) (* a c))) (log (+ (* c c) (* d d)))))) 16.485 * * * * [progress]: [ 4 / 113 ] simplifiying candidate # 16.485 * [simplify]: Simplifying (+ (log (+ (* a c) (* b d))) (- 0 (log (+ (* c c) (* d d))))) 16.485 * * [simplify]: iters left: 6 (15 enodes) 16.489 * * [simplify]: iters left: 5 (54 enodes) 16.506 * * [simplify]: iters left: 4 (62 enodes) 16.524 * * [simplify]: iters left: 3 (72 enodes) 16.544 * * [simplify]: iters left: 2 (85 enodes) 16.570 * * [simplify]: iters left: 1 (87 enodes) 16.592 * * [simplify]: Extracting #0: cost 1 inf + 0 16.592 * * [simplify]: Extracting #1: cost 8 inf + 0 16.592 * * [simplify]: Extracting #2: cost 15 inf + 1 16.592 * * [simplify]: Extracting #3: cost 21 inf + 1 16.592 * * [simplify]: Extracting #4: cost 29 inf + 1 16.592 * * [simplify]: Extracting #5: cost 23 inf + 88 16.593 * * [simplify]: Extracting #6: cost 4 inf + 3148 16.595 * * [simplify]: Extracting #7: cost 0 inf + 4462 16.598 * [simplify]: Simplified to (- (log (+ (* b d) (* a c))) (log (+ (* d d) (* c c)))) 16.598 * [simplify]: Simplified (2 1) to (λ (a b c d) (exp (- (log (+ (* b d) (* a c))) (log (+ (* d d) (* c c)))))) 16.598 * * * * [progress]: [ 5 / 113 ] simplifiying candidate # 16.598 * [simplify]: Simplifying (+ (log (+ (* a c) (* b d))) (- (log 1) (log (+ (* c c) (* d d))))) 16.599 * * [simplify]: iters left: 6 (16 enodes) 16.607 * * [simplify]: iters left: 5 (59 enodes) 16.623 * * [simplify]: iters left: 4 (62 enodes) 16.641 * * [simplify]: iters left: 3 (70 enodes) 16.652 * * [simplify]: iters left: 2 (80 enodes) 16.664 * * [simplify]: iters left: 1 (93 enodes) 16.682 * * [simplify]: Extracting #0: cost 1 inf + 0 16.682 * * [simplify]: Extracting #1: cost 9 inf + 0 16.683 * * [simplify]: Extracting #2: cost 15 inf + 1 16.683 * * [simplify]: Extracting #3: cost 21 inf + 1 16.683 * * [simplify]: Extracting #4: cost 29 inf + 1 16.683 * * [simplify]: Extracting #5: cost 24 inf + 47 16.684 * * [simplify]: Extracting #6: cost 8 inf + 1877 16.685 * * [simplify]: Extracting #7: cost 1 inf + 4080 16.687 * * [simplify]: Extracting #8: cost 0 inf + 4504 16.689 * [simplify]: Simplified to (- (log (+ (* b d) (* a c))) (log (+ (* d d) (* c c)))) 16.689 * [simplify]: Simplified (2 1) to (λ (a b c d) (exp (- (log (+ (* b d) (* a c))) (log (+ (* d d) (* c c)))))) 16.689 * * * * [progress]: [ 6 / 113 ] simplifiying candidate # 16.690 * [simplify]: Simplifying (+ (log (+ (* a c) (* b d))) (log (/ 1 (+ (* c c) (* d d))))) 16.690 * * [simplify]: iters left: 6 (15 enodes) 16.696 * * [simplify]: iters left: 5 (56 enodes) 16.704 * * [simplify]: iters left: 4 (61 enodes) 16.713 * * [simplify]: iters left: 3 (65 enodes) 16.722 * * [simplify]: iters left: 2 (71 enodes) 16.743 * * [simplify]: iters left: 1 (92 enodes) 16.768 * * [simplify]: Extracting #0: cost 1 inf + 0 16.768 * * [simplify]: Extracting #1: cost 9 inf + 0 16.768 * * [simplify]: Extracting #2: cost 16 inf + 1 16.769 * * [simplify]: Extracting #3: cost 24 inf + 1 16.769 * * [simplify]: Extracting #4: cost 31 inf + 2 16.769 * * [simplify]: Extracting #5: cost 23 inf + 172 16.770 * * [simplify]: Extracting #6: cost 11 inf + 1573 16.770 * * [simplify]: Extracting #7: cost 1 inf + 4407 16.772 * * [simplify]: Extracting #8: cost 0 inf + 4831 16.773 * [simplify]: Simplified to (- (log (+ (* b d) (* a c))) (log (+ (* d d) (* c c)))) 16.773 * [simplify]: Simplified (2 1) to (λ (a b c d) (exp (- (log (+ (* b d) (* a c))) (log (+ (* d d) (* c c)))))) 16.773 * * * * [progress]: [ 7 / 113 ] simplifiying candidate # 16.773 * * * * [progress]: [ 8 / 113 ] simplifiying candidate # 16.773 * * * * [progress]: [ 9 / 113 ] simplifiying candidate # 16.773 * [simplify]: Simplifying (* (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (/ (* (* 1 1) 1) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d))))) 16.773 * * [simplify]: iters left: 6 (19 enodes) 16.778 * * [simplify]: iters left: 5 (95 enodes) 16.811 * * [simplify]: iters left: 4 (353 enodes) 16.968 * * [simplify]: Extracting #0: cost 1 inf + 0 16.968 * * [simplify]: Extracting #1: cost 42 inf + 0 16.969 * * [simplify]: Extracting #2: cost 216 inf + 1 16.974 * * [simplify]: Extracting #3: cost 348 inf + 7600 16.993 * * [simplify]: Extracting #4: cost 149 inf + 55132 17.015 * * [simplify]: Extracting #5: cost 1 inf + 95846 17.051 * * [simplify]: Extracting #6: cost 0 inf + 96128 17.089 * [simplify]: Simplified to (/ (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d)))) 17.089 * [simplify]: Simplified (2 1) to (λ (a b c d) (cbrt (/ (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d)))))) 17.089 * * * * [progress]: [ 10 / 113 ] simplifiying candidate # 17.089 * [simplify]: Simplifying (* (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (/ 1 (+ (* c c) (* d d))) (/ 1 (+ (* c c) (* d d)))) (/ 1 (+ (* c c) (* d d))))) 17.090 * * [simplify]: iters left: 6 (17 enodes) 17.099 * * [simplify]: iters left: 5 (82 enodes) 17.135 * * [simplify]: iters left: 4 (236 enodes) 17.267 * * [simplify]: Extracting #0: cost 1 inf + 0 17.267 * * [simplify]: Extracting #1: cost 28 inf + 0 17.268 * * [simplify]: Extracting #2: cost 136 inf + 1 17.274 * * [simplify]: Extracting #3: cost 230 inf + 911 17.286 * * [simplify]: Extracting #4: cost 84 inf + 31959 17.316 * * [simplify]: Extracting #5: cost 2 inf + 59965 17.348 * * [simplify]: Extracting #6: cost 0 inf + 60495 17.381 * * [simplify]: Extracting #7: cost 0 inf + 60255 17.413 * [simplify]: Simplified to (* (* (/ 1 (+ (* d d) (* c c))) (+ (* b d) (* a c))) (* (* (/ 1 (+ (* d d) (* c c))) (+ (* b d) (* a c))) (* (/ 1 (+ (* d d) (* c c))) (+ (* b d) (* a c))))) 17.413 * [simplify]: Simplified (2 1) to (λ (a b c d) (cbrt (* (* (/ 1 (+ (* d d) (* c c))) (+ (* b d) (* a c))) (* (* (/ 1 (+ (* d d) (* c c))) (+ (* b d) (* a c))) (* (/ 1 (+ (* d d) (* c c))) (+ (* b d) (* a c))))))) 17.413 * * * * [progress]: [ 11 / 113 ] simplifiying candidate # 17.413 * * * * [progress]: [ 12 / 113 ] simplifiying candidate # 17.413 * * * * [progress]: [ 13 / 113 ] simplifiying candidate # 17.413 * * * * [progress]: [ 14 / 113 ] simplifiying candidate # 17.414 * [simplify]: Simplifying (* (+ (pow (* a c) 3) (pow (* b d) 3)) 1) 17.414 * * [simplify]: iters left: 6 (12 enodes) 17.421 * * [simplify]: iters left: 5 (59 enodes) 17.441 * * [simplify]: iters left: 4 (164 enodes) 17.496 * * [simplify]: iters left: 3 (423 enodes) 17.724 * * [simplify]: Extracting #0: cost 1 inf + 0 17.724 * * [simplify]: Extracting #1: cost 5 inf + 0 17.724 * * [simplify]: Extracting #2: cost 82 inf + 1 17.725 * * [simplify]: Extracting #3: cost 191 inf + 978 17.727 * * [simplify]: Extracting #4: cost 138 inf + 8904 17.731 * * [simplify]: Extracting #5: cost 40 inf + 32744 17.736 * * [simplify]: Extracting #6: cost 5 inf + 46567 17.745 * * [simplify]: Extracting #7: cost 0 inf + 48694 17.753 * [simplify]: Simplified to (+ (* (* (* b d) (* b d)) (* b d)) (* (* a c) (* (* a c) (* a c)))) 17.753 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ (+ (* (* (* b d) (* b d)) (* b d)) (* (* a c) (* (* a c) (* a c)))) (* (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d)))) (+ (* c c) (* d d))))) 17.753 * [simplify]: Simplifying (* (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d)))) (+ (* c c) (* d d))) 17.754 * * [simplify]: iters left: 6 (15 enodes) 17.762 * * [simplify]: iters left: 5 (79 enodes) 17.792 * * [simplify]: iters left: 4 (213 enodes) 17.869 * * [simplify]: Extracting #0: cost 1 inf + 0 17.869 * * [simplify]: Extracting #1: cost 24 inf + 0 17.870 * * [simplify]: Extracting #2: cost 146 inf + 0 17.871 * * [simplify]: Extracting #3: cost 206 inf + 1481 17.874 * * [simplify]: Extracting #4: cost 109 inf + 19331 17.882 * * [simplify]: Extracting #5: cost 2 inf + 40419 17.897 * * [simplify]: Extracting #6: cost 0 inf + 40667 17.915 * * [simplify]: Extracting #7: cost 0 inf + 40627 17.932 * [simplify]: Simplified to (* (+ (* (* a c) (* a c)) (* (* b d) (- (* b d) (* a c)))) (+ (* d d) (* c c))) 17.932 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (+ (* (* (* b d) (* b d)) (* b d)) (* (* a c) (* (* a c) (* a c)))) (* (+ (* (* a c) (* a c)) (* (* b d) (- (* b d) (* a c)))) (+ (* d d) (* c c))))) 17.933 * * * * [progress]: [ 15 / 113 ] simplifiying candidate # 17.933 * [simplify]: Simplifying (* (- (* (* a c) (* a c)) (* (* b d) (* b d))) 1) 17.933 * * [simplify]: iters left: 6 (11 enodes) 17.940 * * [simplify]: iters left: 5 (55 enodes) 17.962 * * [simplify]: iters left: 4 (131 enodes) 18.000 * * [simplify]: iters left: 3 (267 enodes) 18.121 * * [simplify]: iters left: 2 (377 enodes) 18.277 * * [simplify]: Extracting #0: cost 1 inf + 0 18.277 * * [simplify]: Extracting #1: cost 22 inf + 0 18.277 * * [simplify]: Extracting #2: cost 86 inf + 1 18.279 * * [simplify]: Extracting #3: cost 91 inf + 1071 18.282 * * [simplify]: Extracting #4: cost 41 inf + 6689 18.287 * * [simplify]: Extracting #5: cost 0 inf + 13674 18.292 * [simplify]: Simplified to (* (+ (* a c) (* b d)) (- (* a c) (* b d))) 18.292 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (- (* a c) (* b d))) (* (- (* a c) (* b d)) (+ (* c c) (* d d))))) 18.292 * [simplify]: Simplifying (* (- (* a c) (* b d)) (+ (* c c) (* d d))) 18.292 * * [simplify]: iters left: 6 (11 enodes) 18.294 * * [simplify]: iters left: 5 (45 enodes) 18.302 * * [simplify]: iters left: 4 (90 enodes) 18.325 * * [simplify]: iters left: 3 (263 enodes) 18.429 * * [simplify]: Extracting #0: cost 1 inf + 0 18.429 * * [simplify]: Extracting #1: cost 22 inf + 0 18.430 * * [simplify]: Extracting #2: cost 86 inf + 0 18.430 * * [simplify]: Extracting #3: cost 114 inf + 900 18.432 * * [simplify]: Extracting #4: cost 72 inf + 4225 18.435 * * [simplify]: Extracting #5: cost 15 inf + 15184 18.440 * * [simplify]: Extracting #6: cost 0 inf + 18998 18.445 * * [simplify]: Extracting #7: cost 0 inf + 18918 18.450 * [simplify]: Simplified to (* (+ (* c c) (* d d)) (- (* a c) (* b d))) 18.450 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) (- (* a c) (* b d))) (* (+ (* c c) (* d d)) (- (* a c) (* b d))))) 18.450 * * * * [progress]: [ 16 / 113 ] simplifiying candidate # 18.450 * * * * [progress]: [ 17 / 113 ] simplifiying candidate # 18.451 * [simplify]: Simplifying (+ (* c c) (* d d)) 18.451 * * [simplify]: iters left: 4 (5 enodes) 18.452 * * [simplify]: iters left: 3 (16 enodes) 18.456 * * [simplify]: Extracting #0: cost 1 inf + 0 18.456 * * [simplify]: Extracting #1: cost 4 inf + 0 18.456 * * [simplify]: Extracting #2: cost 8 inf + 0 18.456 * * [simplify]: Extracting #3: cost 4 inf + 84 18.456 * * [simplify]: Extracting #4: cost 0 inf + 410 18.456 * [simplify]: Simplified to (+ (* c c) (* d d)) 18.456 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) 18.456 * * * * [progress]: [ 18 / 113 ] simplifiying candidate # 18.457 * [simplify]: Simplifying (* (sqrt (+ (* a c) (* b d))) (sqrt (/ 1 (+ (* c c) (* d d))))) 18.457 * * [simplify]: iters left: 6 (15 enodes) 18.460 * * [simplify]: iters left: 5 (52 enodes) 18.468 * * [simplify]: iters left: 4 (54 enodes) 18.482 * * [simplify]: Extracting #0: cost 1 inf + 0 18.482 * * [simplify]: Extracting #1: cost 4 inf + 0 18.482 * * [simplify]: Extracting #2: cost 8 inf + 0 18.482 * * [simplify]: Extracting #3: cost 14 inf + 0 18.483 * * [simplify]: Extracting #4: cost 22 inf + 1 18.483 * * [simplify]: Extracting #5: cost 17 inf + 129 18.483 * * [simplify]: Extracting #6: cost 6 inf + 1237 18.484 * * [simplify]: Extracting #7: cost 0 inf + 2699 18.485 * [simplify]: Simplified to (* (sqrt (+ (* b d) (* a c))) (sqrt (/ 1 (+ (* d d) (* c c))))) 18.485 * [simplify]: Simplified (2 1) to (λ (a b c d) (* (* (sqrt (+ (* b d) (* a c))) (sqrt (/ 1 (+ (* d d) (* c c))))) (* (sqrt (+ (* a c) (* b d))) (sqrt (/ 1 (+ (* c c) (* d d))))))) 18.486 * [simplify]: Simplifying (* (sqrt (+ (* a c) (* b d))) (sqrt (/ 1 (+ (* c c) (* d d))))) 18.486 * * [simplify]: iters left: 6 (15 enodes) 18.493 * * [simplify]: iters left: 5 (52 enodes) 18.508 * * [simplify]: iters left: 4 (54 enodes) 18.523 * * [simplify]: Extracting #0: cost 1 inf + 0 18.523 * * [simplify]: Extracting #1: cost 4 inf + 0 18.523 * * [simplify]: Extracting #2: cost 8 inf + 0 18.523 * * [simplify]: Extracting #3: cost 14 inf + 0 18.523 * * [simplify]: Extracting #4: cost 22 inf + 1 18.523 * * [simplify]: Extracting #5: cost 17 inf + 129 18.523 * * [simplify]: Extracting #6: cost 6 inf + 1237 18.524 * * [simplify]: Extracting #7: cost 0 inf + 2699 18.525 * [simplify]: Simplified to (* (sqrt (+ (* b d) (* a c))) (sqrt (/ 1 (+ (* d d) (* c c))))) 18.525 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (* (sqrt (+ (* a c) (* b d))) (sqrt (/ 1 (+ (* c c) (* d d))))) (* (sqrt (+ (* b d) (* a c))) (sqrt (/ 1 (+ (* d d) (* c c))))))) 18.526 * * * * [progress]: [ 19 / 113 ] simplifiying candidate # 18.527 * [simplify]: Simplifying (* (sqrt (+ (* a c) (* b d))) (/ (sqrt 1) (sqrt (+ (* c c) (* d d))))) 18.527 * * [simplify]: iters left: 6 (16 enodes) 18.535 * * [simplify]: iters left: 5 (57 enodes) 18.551 * * [simplify]: iters left: 4 (65 enodes) 18.570 * * [simplify]: iters left: 3 (70 enodes) 18.588 * * [simplify]: iters left: 2 (74 enodes) 18.599 * * [simplify]: iters left: 1 (78 enodes) 18.608 * * [simplify]: Extracting #0: cost 1 inf + 0 18.608 * * [simplify]: Extracting #1: cost 7 inf + 0 18.608 * * [simplify]: Extracting #2: cost 12 inf + 1 18.608 * * [simplify]: Extracting #3: cost 18 inf + 1 18.609 * * [simplify]: Extracting #4: cost 26 inf + 1 18.609 * * [simplify]: Extracting #5: cost 21 inf + 47 18.609 * * [simplify]: Extracting #6: cost 10 inf + 992 18.609 * * [simplify]: Extracting #7: cost 1 inf + 2979 18.610 * * [simplify]: Extracting #8: cost 0 inf + 3343 18.611 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* d d) (* c c)))) 18.611 * [simplify]: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* d d) (* c c)))) (* (sqrt (+ (* a c) (* b d))) (/ (sqrt 1) (sqrt (+ (* c c) (* d d))))))) 18.611 * [simplify]: Simplifying (* (sqrt (+ (* a c) (* b d))) (/ (sqrt 1) (sqrt (+ (* c c) (* d d))))) 18.611 * * [simplify]: iters left: 6 (16 enodes) 18.615 * * [simplify]: iters left: 5 (57 enodes) 18.629 * * [simplify]: iters left: 4 (65 enodes) 18.648 * * [simplify]: iters left: 3 (70 enodes) 18.666 * * [simplify]: iters left: 2 (74 enodes) 18.677 * * [simplify]: iters left: 1 (78 enodes) 18.687 * * [simplify]: Extracting #0: cost 1 inf + 0 18.687 * * [simplify]: Extracting #1: cost 7 inf + 0 18.687 * * [simplify]: Extracting #2: cost 12 inf + 1 18.687 * * [simplify]: Extracting #3: cost 18 inf + 1 18.687 * * [simplify]: Extracting #4: cost 26 inf + 1 18.687 * * [simplify]: Extracting #5: cost 21 inf + 47 18.687 * * [simplify]: Extracting #6: cost 10 inf + 992 18.688 * * [simplify]: Extracting #7: cost 1 inf + 2979 18.688 * * [simplify]: Extracting #8: cost 0 inf + 3343 18.689 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* d d) (* c c)))) 18.689 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (* (sqrt (+ (* a c) (* b d))) (/ (sqrt 1) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* d d) (* c c)))))) 18.689 * * * * [progress]: [ 20 / 113 ] simplifiying candidate # 18.690 * [simplify]: Simplifying (* (sqrt (+ (* a c) (* b d))) (/ 1 (sqrt (+ (* c c) (* d d))))) 18.690 * * [simplify]: iters left: 6 (15 enodes) 18.693 * * [simplify]: iters left: 5 (54 enodes) 18.703 * * [simplify]: iters left: 4 (60 enodes) 18.713 * * [simplify]: iters left: 3 (69 enodes) 18.732 * * [simplify]: iters left: 2 (71 enodes) 18.742 * * [simplify]: iters left: 1 (74 enodes) 18.751 * * [simplify]: Extracting #0: cost 1 inf + 0 18.751 * * [simplify]: Extracting #1: cost 7 inf + 0 18.751 * * [simplify]: Extracting #2: cost 12 inf + 1 18.751 * * [simplify]: Extracting #3: cost 18 inf + 1 18.751 * * [simplify]: Extracting #4: cost 26 inf + 1 18.751 * * [simplify]: Extracting #5: cost 20 inf + 88 18.751 * * [simplify]: Extracting #6: cost 4 inf + 2048 18.752 * * [simplify]: Extracting #7: cost 0 inf + 3343 18.753 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* d d) (* c c)))) 18.753 * [simplify]: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* d d) (* c c)))) (* (sqrt (+ (* a c) (* b d))) (/ 1 (sqrt (+ (* c c) (* d d))))))) 18.753 * [simplify]: Simplifying (* (sqrt (+ (* a c) (* b d))) (/ 1 (sqrt (+ (* c c) (* d d))))) 18.753 * * [simplify]: iters left: 6 (15 enodes) 18.757 * * [simplify]: iters left: 5 (54 enodes) 18.765 * * [simplify]: iters left: 4 (60 enodes) 18.773 * * [simplify]: iters left: 3 (69 enodes) 18.783 * * [simplify]: iters left: 2 (71 enodes) 18.794 * * [simplify]: iters left: 1 (74 enodes) 18.803 * * [simplify]: Extracting #0: cost 1 inf + 0 18.803 * * [simplify]: Extracting #1: cost 7 inf + 0 18.803 * * [simplify]: Extracting #2: cost 12 inf + 1 18.803 * * [simplify]: Extracting #3: cost 18 inf + 1 18.803 * * [simplify]: Extracting #4: cost 26 inf + 1 18.803 * * [simplify]: Extracting #5: cost 20 inf + 88 18.804 * * [simplify]: Extracting #6: cost 4 inf + 2048 18.804 * * [simplify]: Extracting #7: cost 0 inf + 3343 18.805 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* d d) (* c c)))) 18.805 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (* (sqrt (+ (* a c) (* b d))) (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* d d) (* c c)))))) 18.805 * * * * [progress]: [ 21 / 113 ] simplifiying candidate # 18.805 * [simplify]: Simplifying (cbrt (/ 1 (+ (* c c) (* d d)))) 18.805 * * [simplify]: iters left: 6 (8 enodes) 18.807 * * [simplify]: iters left: 5 (27 enodes) 18.811 * * [simplify]: iters left: 4 (29 enodes) 18.816 * * [simplify]: Extracting #0: cost 1 inf + 0 18.816 * * [simplify]: Extracting #1: cost 3 inf + 0 18.816 * * [simplify]: Extracting #2: cost 6 inf + 0 18.816 * * [simplify]: Extracting #3: cost 8 inf + 1 18.816 * * [simplify]: Extracting #4: cost 12 inf + 1 18.816 * * [simplify]: Extracting #5: cost 10 inf + 3 18.816 * * [simplify]: Extracting #6: cost 5 inf + 289 18.816 * * [simplify]: Extracting #7: cost 1 inf + 980 18.816 * * [simplify]: Extracting #8: cost 0 inf + 1223 18.816 * [simplify]: Simplified to (cbrt (/ 1 (+ (* c c) (* d d)))) 18.816 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (* (+ (* a c) (* b d)) (* (cbrt (/ 1 (+ (* c c) (* d d)))) (cbrt (/ 1 (+ (* c c) (* d d)))))) (cbrt (/ 1 (+ (* c c) (* d d)))))) 18.817 * * * * [progress]: [ 22 / 113 ] simplifiying candidate # 18.817 * [simplify]: Simplifying (sqrt (/ 1 (+ (* c c) (* d d)))) 18.817 * * [simplify]: iters left: 6 (8 enodes) 18.819 * * [simplify]: iters left: 5 (27 enodes) 18.823 * * [simplify]: iters left: 4 (29 enodes) 18.827 * * [simplify]: Extracting #0: cost 1 inf + 0 18.827 * * [simplify]: Extracting #1: cost 3 inf + 0 18.827 * * [simplify]: Extracting #2: cost 6 inf + 0 18.827 * * [simplify]: Extracting #3: cost 8 inf + 1 18.827 * * [simplify]: Extracting #4: cost 12 inf + 1 18.827 * * [simplify]: Extracting #5: cost 10 inf + 3 18.827 * * [simplify]: Extracting #6: cost 5 inf + 289 18.827 * * [simplify]: Extracting #7: cost 1 inf + 940 18.828 * * [simplify]: Extracting #8: cost 0 inf + 1143 18.828 * [simplify]: Simplified to (sqrt (/ 1 (+ (* c c) (* d d)))) 18.828 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (* c c) (* d d))))) (sqrt (/ 1 (+ (* c c) (* d d)))))) 18.828 * * * * [progress]: [ 23 / 113 ] simplifiying candidate # 18.828 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (+ (* c c) (* d d)))) 18.828 * * [simplify]: iters left: 6 (9 enodes) 18.831 * * [simplify]: iters left: 5 (30 enodes) 18.835 * * [simplify]: iters left: 4 (32 enodes) 18.840 * * [simplify]: Extracting #0: cost 1 inf + 0 18.840 * * [simplify]: Extracting #1: cost 4 inf + 0 18.840 * * [simplify]: Extracting #2: cost 5 inf + 1 18.840 * * [simplify]: Extracting #3: cost 8 inf + 1 18.840 * * [simplify]: Extracting #4: cost 12 inf + 1 18.840 * * [simplify]: Extracting #5: cost 7 inf + 126 18.840 * * [simplify]: Extracting #6: cost 4 inf + 491 18.841 * * [simplify]: Extracting #7: cost 0 inf + 1301 18.841 * [simplify]: Simplified to (/ 1 (cbrt (+ (* c c) (* d d)))) 18.841 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (* (+ (* a c) (* b d)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ 1 (cbrt (+ (* c c) (* d d)))))) 18.841 * * * * [progress]: [ 24 / 113 ] simplifiying candidate # 18.841 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (+ (* c c) (* d d)))) 18.841 * * [simplify]: iters left: 6 (9 enodes) 18.844 * * [simplify]: iters left: 5 (30 enodes) 18.848 * * [simplify]: iters left: 4 (32 enodes) 18.853 * * [simplify]: Extracting #0: cost 1 inf + 0 18.853 * * [simplify]: Extracting #1: cost 4 inf + 0 18.853 * * [simplify]: Extracting #2: cost 5 inf + 1 18.853 * * [simplify]: Extracting #3: cost 8 inf + 1 18.853 * * [simplify]: Extracting #4: cost 12 inf + 1 18.853 * * [simplify]: Extracting #5: cost 7 inf + 126 18.853 * * [simplify]: Extracting #6: cost 4 inf + 451 18.853 * * [simplify]: Extracting #7: cost 0 inf + 1141 18.854 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) 18.854 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (* (+ (* a c) (* b d)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (* c c) (* d d))))) (/ 1 (sqrt (+ (* c c) (* d d)))))) 18.854 * * * * [progress]: [ 25 / 113 ] simplifiying candidate # 18.854 * [simplify]: Simplifying (/ (cbrt 1) (+ (* c c) (* d d))) 18.854 * * [simplify]: iters left: 6 (8 enodes) 18.856 * * [simplify]: iters left: 5 (27 enodes) 18.860 * * [simplify]: iters left: 4 (29 enodes) 18.864 * * [simplify]: Extracting #0: cost 1 inf + 0 18.864 * * [simplify]: Extracting #1: cost 4 inf + 0 18.864 * * [simplify]: Extracting #2: cost 6 inf + 1 18.864 * * [simplify]: Extracting #3: cost 10 inf + 1 18.864 * * [simplify]: Extracting #4: cost 6 inf + 85 18.866 * * [simplify]: Extracting #5: cost 3 inf + 289 18.866 * * [simplify]: Extracting #6: cost 1 inf + 574 18.867 * * [simplify]: Extracting #7: cost 0 inf + 737 18.867 * [simplify]: Simplified to (/ 1 (+ (* c c) (* d d))) 18.867 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (* (+ (* a c) (* b d)) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ 1 (+ (* c c) (* d d))))) 18.867 * * * * [progress]: [ 26 / 113 ] simplifiying candidate # 18.867 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (+ (* c c) (* d d)))) 18.867 * * [simplify]: iters left: 6 (9 enodes) 18.870 * * [simplify]: iters left: 5 (30 enodes) 18.874 * * [simplify]: iters left: 4 (32 enodes) 18.879 * * [simplify]: Extracting #0: cost 1 inf + 0 18.879 * * [simplify]: Extracting #1: cost 4 inf + 0 18.879 * * [simplify]: Extracting #2: cost 5 inf + 1 18.879 * * [simplify]: Extracting #3: cost 8 inf + 1 18.879 * * [simplify]: Extracting #4: cost 12 inf + 1 18.879 * * [simplify]: Extracting #5: cost 7 inf + 126 18.879 * * [simplify]: Extracting #6: cost 4 inf + 491 18.879 * * [simplify]: Extracting #7: cost 0 inf + 1301 18.879 * [simplify]: Simplified to (/ 1 (cbrt (+ (* c c) (* d d)))) 18.879 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (* (+ (* a c) (* b d)) (/ (sqrt 1) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ 1 (cbrt (+ (* c c) (* d d)))))) 18.879 * * * * [progress]: [ 27 / 113 ] simplifiying candidate # 18.880 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ (* c c) (* d d)))) 18.880 * * [simplify]: iters left: 6 (9 enodes) 18.882 * * [simplify]: iters left: 5 (30 enodes) 18.887 * * [simplify]: iters left: 4 (32 enodes) 18.892 * * [simplify]: Extracting #0: cost 1 inf + 0 18.892 * * [simplify]: Extracting #1: cost 4 inf + 0 18.892 * * [simplify]: Extracting #2: cost 5 inf + 1 18.892 * * [simplify]: Extracting #3: cost 8 inf + 1 18.892 * * [simplify]: Extracting #4: cost 12 inf + 1 18.892 * * [simplify]: Extracting #5: cost 7 inf + 126 18.892 * * [simplify]: Extracting #6: cost 4 inf + 451 18.892 * * [simplify]: Extracting #7: cost 0 inf + 1141 18.892 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) 18.892 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (* (+ (* a c) (* b d)) (/ (sqrt 1) (sqrt (+ (* c c) (* d d))))) (/ 1 (sqrt (+ (* c c) (* d d)))))) 18.892 * * * * [progress]: [ 28 / 113 ] simplifiying candidate # 18.893 * [simplify]: Simplifying (/ (sqrt 1) (+ (* c c) (* d d))) 18.893 * * [simplify]: iters left: 6 (8 enodes) 18.895 * * [simplify]: iters left: 5 (27 enodes) 18.899 * * [simplify]: iters left: 4 (29 enodes) 18.904 * * [simplify]: Extracting #0: cost 1 inf + 0 18.904 * * [simplify]: Extracting #1: cost 4 inf + 0 18.904 * * [simplify]: Extracting #2: cost 6 inf + 1 18.904 * * [simplify]: Extracting #3: cost 10 inf + 1 18.905 * * [simplify]: Extracting #4: cost 6 inf + 85 18.905 * * [simplify]: Extracting #5: cost 3 inf + 289 18.905 * * [simplify]: Extracting #6: cost 1 inf + 574 18.905 * * [simplify]: Extracting #7: cost 0 inf + 737 18.906 * [simplify]: Simplified to (/ 1 (+ (* c c) (* d d))) 18.906 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (* (+ (* a c) (* b d)) (/ (sqrt 1) 1)) (/ 1 (+ (* c c) (* d d))))) 18.906 * * * * [progress]: [ 29 / 113 ] simplifiying candidate # 18.906 * [simplify]: Simplifying (/ 1 (cbrt (+ (* c c) (* d d)))) 18.906 * * [simplify]: iters left: 6 (8 enodes) 18.910 * * [simplify]: iters left: 5 (27 enodes) 18.918 * * [simplify]: iters left: 4 (29 enodes) 18.926 * * [simplify]: Extracting #0: cost 1 inf + 0 18.926 * * [simplify]: Extracting #1: cost 4 inf + 0 18.926 * * [simplify]: Extracting #2: cost 5 inf + 1 18.926 * * [simplify]: Extracting #3: cost 8 inf + 1 18.926 * * [simplify]: Extracting #4: cost 12 inf + 1 18.926 * * [simplify]: Extracting #5: cost 10 inf + 3 18.927 * * [simplify]: Extracting #6: cost 5 inf + 289 18.927 * * [simplify]: Extracting #7: cost 1 inf + 1058 18.927 * * [simplify]: Extracting #8: cost 0 inf + 1301 18.928 * [simplify]: Simplified to (/ 1 (cbrt (+ (* c c) (* d d)))) 18.928 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (* (+ (* a c) (* b d)) (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ 1 (cbrt (+ (* c c) (* d d)))))) 18.928 * * * * [progress]: [ 30 / 113 ] simplifiying candidate # 18.928 * [simplify]: Simplifying (/ 1 (sqrt (+ (* c c) (* d d)))) 18.928 * * [simplify]: iters left: 6 (8 enodes) 18.932 * * [simplify]: iters left: 5 (27 enodes) 18.940 * * [simplify]: iters left: 4 (29 enodes) 18.949 * * [simplify]: Extracting #0: cost 1 inf + 0 18.949 * * [simplify]: Extracting #1: cost 4 inf + 0 18.949 * * [simplify]: Extracting #2: cost 5 inf + 1 18.949 * * [simplify]: Extracting #3: cost 8 inf + 1 18.949 * * [simplify]: Extracting #4: cost 12 inf + 1 18.949 * * [simplify]: Extracting #5: cost 10 inf + 3 18.949 * * [simplify]: Extracting #6: cost 5 inf + 289 18.949 * * [simplify]: Extracting #7: cost 1 inf + 938 18.950 * * [simplify]: Extracting #8: cost 0 inf + 1141 18.950 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) 18.950 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (/ 1 (sqrt (+ (* c c) (* d d)))))) 18.950 * * * * [progress]: [ 31 / 113 ] simplifiying candidate # 18.951 * [simplify]: Simplifying (/ 1 (+ (* c c) (* d d))) 18.951 * * [simplify]: iters left: 6 (7 enodes) 18.954 * * [simplify]: iters left: 5 (24 enodes) 18.962 * * [simplify]: iters left: 4 (26 enodes) 18.969 * * [simplify]: Extracting #0: cost 1 inf + 0 18.969 * * [simplify]: Extracting #1: cost 4 inf + 0 18.969 * * [simplify]: Extracting #2: cost 6 inf + 1 18.969 * * [simplify]: Extracting #3: cost 10 inf + 1 18.969 * * [simplify]: Extracting #4: cost 8 inf + 3 18.969 * * [simplify]: Extracting #5: cost 2 inf + 452 18.970 * * [simplify]: Extracting #6: cost 0 inf + 737 18.970 * [simplify]: Simplified to (/ 1 (+ (* c c) (* d d))) 18.970 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (* (+ (* a c) (* b d)) (/ 1 1)) (/ 1 (+ (* c c) (* d d))))) 18.970 * * * * [progress]: [ 32 / 113 ] simplifiying candidate # 18.971 * [simplify]: Simplifying (/ 1 (+ (* c c) (* d d))) 18.971 * * [simplify]: iters left: 6 (7 enodes) 18.974 * * [simplify]: iters left: 5 (24 enodes) 18.982 * * [simplify]: iters left: 4 (26 enodes) 18.993 * * [simplify]: Extracting #0: cost 1 inf + 0 18.993 * * [simplify]: Extracting #1: cost 4 inf + 0 18.993 * * [simplify]: Extracting #2: cost 6 inf + 1 18.993 * * [simplify]: Extracting #3: cost 10 inf + 1 18.993 * * [simplify]: Extracting #4: cost 8 inf + 3 18.993 * * [simplify]: Extracting #5: cost 2 inf + 452 18.994 * * [simplify]: Extracting #6: cost 0 inf + 737 18.994 * [simplify]: Simplified to (/ 1 (+ (* c c) (* d d))) 18.994 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (* (+ (* a c) (* b d)) 1) (/ 1 (+ (* c c) (* d d))))) 18.994 * * * * [progress]: [ 33 / 113 ] simplifiying candidate # 18.994 * [simplify]: Simplifying (/ 1 (+ (* c c) (* d d))) 18.995 * * [simplify]: iters left: 6 (7 enodes) 18.998 * * [simplify]: iters left: 5 (24 enodes) 19.005 * * [simplify]: iters left: 4 (26 enodes) 19.013 * * [simplify]: Extracting #0: cost 1 inf + 0 19.013 * * [simplify]: Extracting #1: cost 4 inf + 0 19.013 * * [simplify]: Extracting #2: cost 6 inf + 1 19.013 * * [simplify]: Extracting #3: cost 10 inf + 1 19.013 * * [simplify]: Extracting #4: cost 8 inf + 3 19.013 * * [simplify]: Extracting #5: cost 2 inf + 452 19.014 * * [simplify]: Extracting #6: cost 0 inf + 737 19.014 * [simplify]: Simplified to (/ 1 (+ (* c c) (* d d))) 19.014 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (* (+ (* a c) (* b d)) 1) (/ 1 (+ (* c c) (* d d))))) 19.014 * * * * [progress]: [ 34 / 113 ] simplifiying candidate # 19.014 * [simplify]: Simplifying (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))) 19.014 * * [simplify]: iters left: 6 (9 enodes) 19.019 * * [simplify]: iters left: 5 (49 enodes) 19.034 * * [simplify]: iters left: 4 (116 enodes) 19.059 * * [simplify]: iters left: 3 (231 enodes) 19.136 * * [simplify]: iters left: 2 (363 enodes) 19.264 * * [simplify]: Extracting #0: cost 1 inf + 0 19.264 * * [simplify]: Extracting #1: cost 20 inf + 0 19.265 * * [simplify]: Extracting #2: cost 146 inf + 0 19.267 * * [simplify]: Extracting #3: cost 200 inf + 1989 19.274 * * [simplify]: Extracting #4: cost 63 inf + 22827 19.286 * * [simplify]: Extracting #5: cost 0 inf + 34174 19.292 * * [simplify]: Extracting #6: cost 0 inf + 34134 19.299 * [simplify]: Simplified to (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d))) 19.299 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (* (+ (* a c) (* b d)) (/ 1 (+ (pow (* c c) 3) (pow (* d d) 3)))) (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d))))) 19.299 * * * * [progress]: [ 35 / 113 ] simplifiying candidate # 19.300 * [simplify]: Simplifying (- (* c c) (* d d)) 19.300 * * [simplify]: iters left: 4 (5 enodes) 19.301 * * [simplify]: iters left: 3 (20 enodes) 19.304 * * [simplify]: iters left: 2 (33 enodes) 19.309 * * [simplify]: iters left: 1 (50 enodes) 19.317 * * [simplify]: Extracting #0: cost 1 inf + 0 19.317 * * [simplify]: Extracting #1: cost 11 inf + 0 19.317 * * [simplify]: Extracting #2: cost 29 inf + 0 19.317 * * [simplify]: Extracting #3: cost 19 inf + 455 19.317 * * [simplify]: Extracting #4: cost 0 inf + 2130 19.318 * * [simplify]: Extracting #5: cost 0 inf + 1970 19.319 * [simplify]: Simplified to (* (+ c d) (- c d)) 19.319 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (* (+ (* a c) (* b d)) (/ 1 (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (+ c d) (- c d)))) 19.319 * * * * [progress]: [ 36 / 113 ] simplifiying candidate # 19.319 * [simplify]: Simplifying (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 19.319 * * [simplify]: iters left: 6 (9 enodes) 19.321 * * [simplify]: iters left: 5 (30 enodes) 19.328 * * [simplify]: Extracting #0: cost 1 inf + 0 19.328 * * [simplify]: Extracting #1: cost 3 inf + 0 19.328 * * [simplify]: Extracting #2: cost 5 inf + 0 19.328 * * [simplify]: Extracting #3: cost 8 inf + 0 19.329 * * [simplify]: Extracting #4: cost 14 inf + 0 19.329 * * [simplify]: Extracting #5: cost 9 inf + 46 19.329 * * [simplify]: Extracting #6: cost 4 inf + 500 19.329 * * [simplify]: Extracting #7: cost 1 inf + 1072 19.330 * * [simplify]: Extracting #8: cost 0 inf + 1316 19.330 * [simplify]: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 19.330 * [simplify]: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (+ (* a c) (* b d))) (/ 1 (+ (* c c) (* d d)))))) 19.330 * * * * [progress]: [ 37 / 113 ] simplifiying candidate # 19.331 * [simplify]: Simplifying (sqrt (+ (* a c) (* b d))) 19.331 * * [simplify]: iters left: 5 (8 enodes) 19.334 * * [simplify]: iters left: 4 (27 enodes) 19.341 * * [simplify]: Extracting #0: cost 1 inf + 0 19.341 * * [simplify]: Extracting #1: cost 3 inf + 0 19.341 * * [simplify]: Extracting #2: cost 6 inf + 0 19.341 * * [simplify]: Extracting #3: cost 12 inf + 0 19.341 * * [simplify]: Extracting #4: cost 8 inf + 4 19.341 * * [simplify]: Extracting #5: cost 1 inf + 584 19.342 * * [simplify]: Extracting #6: cost 0 inf + 748 19.342 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c))) 19.342 * [simplify]: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* a c) (* b d))) (/ 1 (+ (* c c) (* d d)))))) 19.342 * * * * [progress]: [ 38 / 113 ] simplifiying candidate # 19.342 * * * * [progress]: [ 39 / 113 ] simplifiying candidate # 19.342 * [simplify]: Simplifying (+ (* c c) (* d d)) 19.343 * * [simplify]: iters left: 4 (5 enodes) 19.345 * * [simplify]: iters left: 3 (16 enodes) 19.349 * * [simplify]: Extracting #0: cost 1 inf + 0 19.349 * * [simplify]: Extracting #1: cost 4 inf + 0 19.349 * * [simplify]: Extracting #2: cost 8 inf + 0 19.349 * * [simplify]: Extracting #3: cost 4 inf + 84 19.349 * * [simplify]: Extracting #4: cost 0 inf + 410 19.349 * [simplify]: Simplified to (+ (* c c) (* d d)) 19.350 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (* (+ (* a c) (* b d)) 1) (+ (* c c) (* d d)))) 19.350 * * * * [progress]: [ 40 / 113 ] simplifiying candidate # 19.350 * [simplify]: Simplifying (* (+ (pow (* a c) 3) (pow (* b d) 3)) (/ 1 (+ (* c c) (* d d)))) 19.350 * * [simplify]: iters left: 6 (16 enodes) 19.357 * * [simplify]: iters left: 5 (76 enodes) 19.376 * * [simplify]: iters left: 4 (181 enodes) 19.429 * * [simplify]: iters left: 3 (462 enodes) 19.674 * * [simplify]: Extracting #0: cost 1 inf + 0 19.674 * * [simplify]: Extracting #1: cost 13 inf + 0 19.675 * * [simplify]: Extracting #2: cost 176 inf + 1 19.678 * * [simplify]: Extracting #3: cost 357 inf + 130 19.685 * * [simplify]: Extracting #4: cost 279 inf + 14768 19.702 * * [simplify]: Extracting #5: cost 109 inf + 59166 19.723 * * [simplify]: Extracting #6: cost 5 inf + 97187 19.752 * * [simplify]: Extracting #7: cost 0 inf + 99496 19.787 * [simplify]: Simplified to (/ (+ (* (* b d) (* (* b d) (* b d))) (* (* a c) (* (* a c) (* a c)))) (+ (* d d) (* c c))) 19.787 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ (/ (+ (* (* b d) (* (* b d) (* b d))) (* (* a c) (* (* a c) (* a c)))) (+ (* d d) (* c c))) (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d)))))) 19.787 * * * * [progress]: [ 41 / 113 ] simplifiying candidate # 19.787 * [simplify]: Simplifying (* (- (* (* a c) (* a c)) (* (* b d) (* b d))) (/ 1 (+ (* c c) (* d d)))) 19.788 * * [simplify]: iters left: 6 (15 enodes) 19.795 * * [simplify]: iters left: 5 (70 enodes) 19.808 * * [simplify]: iters left: 4 (147 enodes) 19.851 * * [simplify]: iters left: 3 (347 enodes) 20.032 * * [simplify]: Extracting #0: cost 1 inf + 0 20.032 * * [simplify]: Extracting #1: cost 40 inf + 0 20.033 * * [simplify]: Extracting #2: cost 170 inf + 1 20.035 * * [simplify]: Extracting #3: cost 261 inf + 1238 20.042 * * [simplify]: Extracting #4: cost 155 inf + 16010 20.054 * * [simplify]: Extracting #5: cost 31 inf + 45422 20.067 * * [simplify]: Extracting #6: cost 0 inf + 54906 20.085 * * [simplify]: Extracting #7: cost 0 inf + 54866 20.113 * [simplify]: Simplified to (/ (- (* (* a c) (* a c)) (* (* b d) (* b d))) (+ (* d d) (* c c))) 20.113 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ (/ (- (* (* a c) (* a c)) (* (* b d) (* b d))) (+ (* d d) (* c c))) (- (* a c) (* b d)))) 20.113 * * * * [progress]: [ 42 / 113 ] simplifiying candidate #real (real->posit16 (* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d)))))))> 20.113 * * * * [progress]: [ 43 / 113 ] simplifiying candidate # 20.113 * * * * [progress]: [ 44 / 113 ] simplifiying candidate # 20.113 * * * * [progress]: [ 45 / 113 ] simplifiying candidate # 20.114 * [simplify]: Simplifying (- 1) 20.114 * * [simplify]: iters left: 2 (2 enodes) 20.116 * * [simplify]: iters left: 1 (9 enodes) 20.119 * * [simplify]: Extracting #0: cost 1 inf + 0 20.119 * * [simplify]: Extracting #1: cost 0 inf + 1 20.119 * [simplify]: Simplified to -1 20.119 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (+ (* a c) (* b d)) (pow (+ (* c c) (* d d)) -1))) 20.119 * * * * [progress]: [ 46 / 113 ] simplifiying candidate # 20.119 * * * * [progress]: [ 47 / 113 ] simplifiying candidate # 20.119 * * * * [progress]: [ 48 / 113 ] simplifiying candidate # 20.120 * [simplify]: Simplifying (- 0 (log (+ (* c c) (* d d)))) 20.120 * * [simplify]: iters left: 6 (8 enodes) 20.124 * * [simplify]: iters left: 5 (27 enodes) 20.137 * * [simplify]: iters left: 4 (31 enodes) 20.146 * * [simplify]: iters left: 3 (33 enodes) 20.155 * * [simplify]: iters left: 2 (35 enodes) 20.163 * * [simplify]: Extracting #0: cost 1 inf + 0 20.163 * * [simplify]: Extracting #1: cost 4 inf + 0 20.163 * * [simplify]: Extracting #2: cost 5 inf + 1 20.163 * * [simplify]: Extracting #3: cost 8 inf + 1 20.163 * * [simplify]: Extracting #4: cost 12 inf + 1 20.163 * * [simplify]: Extracting #5: cost 10 inf + 3 20.164 * * [simplify]: Extracting #6: cost 5 inf + 289 20.164 * * [simplify]: Extracting #7: cost 1 inf + 1027 20.165 * * [simplify]: Extracting #8: cost 0 inf + 1259 20.165 * [simplify]: Simplified to (- (log (+ (* c c) (* d d)))) 20.165 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (+ (* a c) (* b d)) (exp (- (log (+ (* c c) (* d d))))))) 20.165 * * * * [progress]: [ 49 / 113 ] simplifiying candidate # 20.166 * [simplify]: Simplifying (- (log 1) (log (+ (* c c) (* d d)))) 20.166 * * [simplify]: iters left: 6 (9 enodes) 20.171 * * [simplify]: iters left: 5 (32 enodes) 20.175 * * [simplify]: Extracting #0: cost 1 inf + 0 20.175 * * [simplify]: Extracting #1: cost 4 inf + 0 20.175 * * [simplify]: Extracting #2: cost 5 inf + 1 20.175 * * [simplify]: Extracting #3: cost 8 inf + 1 20.175 * * [simplify]: Extracting #4: cost 12 inf + 1 20.175 * * [simplify]: Extracting #5: cost 8 inf + 85 20.175 * * [simplify]: Extracting #6: cost 3 inf + 603 20.176 * * [simplify]: Extracting #7: cost 0 inf + 1259 20.176 * [simplify]: Simplified to (- (log (+ (* c c) (* d d)))) 20.176 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (+ (* a c) (* b d)) (exp (- (log (+ (* c c) (* d d))))))) 20.176 * * * * [progress]: [ 50 / 113 ] simplifiying candidate # 20.176 * * * * [progress]: [ 51 / 113 ] simplifiying candidate # 20.176 * * * * [progress]: [ 52 / 113 ] simplifiying candidate # 20.176 * [simplify]: Simplifying (/ (* (* 1 1) 1) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d)))) 20.176 * * [simplify]: iters left: 6 (11 enodes) 20.179 * * [simplify]: iters left: 5 (50 enodes) 20.191 * * [simplify]: iters left: 4 (160 enodes) 20.258 * * [simplify]: iters left: 3 (488 enodes) 20.639 * * [simplify]: Extracting #0: cost 1 inf + 0 20.639 * * [simplify]: Extracting #1: cost 16 inf + 0 20.640 * * [simplify]: Extracting #2: cost 63 inf + 1 20.641 * * [simplify]: Extracting #3: cost 198 inf + 3 20.644 * * [simplify]: Extracting #4: cost 201 inf + 5740 20.659 * * [simplify]: Extracting #5: cost 52 inf + 34534 20.673 * * [simplify]: Extracting #6: cost 0 inf + 48760 20.702 * * [simplify]: Extracting #7: cost 0 inf + 48720 20.732 * [simplify]: Simplified to (/ (/ 1 (+ (* d d) (* c c))) (* (+ (* d d) (* c c)) (+ (* d d) (* c c)))) 20.732 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (+ (* a c) (* b d)) (cbrt (/ (/ 1 (+ (* d d) (* c c))) (* (+ (* d d) (* c c)) (+ (* d d) (* c c))))))) 20.732 * * * * [progress]: [ 53 / 113 ] simplifiying candidate # 20.732 * * * * [progress]: [ 54 / 113 ] simplifiying candidate # 20.732 * * * * [progress]: [ 55 / 113 ] simplifiying candidate # 20.733 * * * * [progress]: [ 56 / 113 ] simplifiying candidate # 20.733 * * * * [progress]: [ 57 / 113 ] simplifiying candidate # 20.733 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 20.733 * * [simplify]: iters left: 6 (11 enodes) 20.740 * * [simplify]: iters left: 5 (42 enodes) 20.754 * * [simplify]: iters left: 4 (58 enodes) 20.765 * * [simplify]: iters left: 3 (84 enodes) 20.778 * * [simplify]: iters left: 2 (89 enodes) 20.785 * * [simplify]: Extracting #0: cost 1 inf + 0 20.785 * * [simplify]: Extracting #1: cost 6 inf + 0 20.785 * * [simplify]: Extracting #2: cost 9 inf + 1 20.786 * * [simplify]: Extracting #3: cost 12 inf + 1 20.786 * * [simplify]: Extracting #4: cost 16 inf + 1 20.786 * * [simplify]: Extracting #5: cost 14 inf + 3 20.786 * * [simplify]: Extracting #6: cost 10 inf + 248 20.786 * * [simplify]: Extracting #7: cost 2 inf + 1866 20.787 * * [simplify]: Extracting #8: cost 0 inf + 2351 20.787 * [simplify]: Simplified to (/ (/ 1 (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* d d) (* c c)))) 20.787 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (+ (* a c) (* b d)) (* (/ (/ 1 (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt 1) (cbrt (+ (* c c) (* d d))))))) 20.787 * [simplify]: Simplifying (/ (cbrt 1) (cbrt (+ (* c c) (* d d)))) 20.787 * * [simplify]: iters left: 6 (9 enodes) 20.790 * * [simplify]: iters left: 5 (30 enodes) 20.795 * * [simplify]: iters left: 4 (32 enodes) 20.802 * * [simplify]: Extracting #0: cost 1 inf + 0 20.802 * * [simplify]: Extracting #1: cost 4 inf + 0 20.802 * * [simplify]: Extracting #2: cost 5 inf + 1 20.802 * * [simplify]: Extracting #3: cost 8 inf + 1 20.802 * * [simplify]: Extracting #4: cost 12 inf + 1 20.802 * * [simplify]: Extracting #5: cost 7 inf + 126 20.802 * * [simplify]: Extracting #6: cost 4 inf + 491 20.803 * * [simplify]: Extracting #7: cost 0 inf + 1301 20.803 * [simplify]: Simplified to (/ 1 (cbrt (+ (* c c) (* d d)))) 20.803 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (+ (* a c) (* b d)) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ 1 (cbrt (+ (* c c) (* d d))))))) 20.803 * * * * [progress]: [ 58 / 113 ] simplifiying candidate # 20.803 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (* c c) (* d d)))) 20.803 * * [simplify]: iters left: 6 (10 enodes) 20.806 * * [simplify]: iters left: 5 (35 enodes) 20.814 * * [simplify]: iters left: 4 (37 enodes) 20.824 * * [simplify]: Extracting #0: cost 1 inf + 0 20.824 * * [simplify]: Extracting #1: cost 4 inf + 0 20.824 * * [simplify]: Extracting #2: cost 5 inf + 1 20.824 * * [simplify]: Extracting #3: cost 8 inf + 1 20.824 * * [simplify]: Extracting #4: cost 12 inf + 1 20.824 * * [simplify]: Extracting #5: cost 10 inf + 3 20.825 * * [simplify]: Extracting #6: cost 4 inf + 411 20.825 * * [simplify]: Extracting #7: cost 0 inf + 1141 20.826 * [simplify]: Simplified to (/ 1 (sqrt (+ (* d d) (* c c)))) 20.826 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (+ (* a c) (* b d)) (* (/ 1 (sqrt (+ (* d d) (* c c)))) (/ (cbrt 1) (sqrt (+ (* c c) (* d d))))))) 20.826 * [simplify]: Simplifying (/ (cbrt 1) (sqrt (+ (* c c) (* d d)))) 20.826 * * [simplify]: iters left: 6 (9 enodes) 20.831 * * [simplify]: iters left: 5 (30 enodes) 20.840 * * [simplify]: iters left: 4 (32 enodes) 20.849 * * [simplify]: Extracting #0: cost 1 inf + 0 20.849 * * [simplify]: Extracting #1: cost 4 inf + 0 20.849 * * [simplify]: Extracting #2: cost 5 inf + 1 20.849 * * [simplify]: Extracting #3: cost 8 inf + 1 20.849 * * [simplify]: Extracting #4: cost 12 inf + 1 20.849 * * [simplify]: Extracting #5: cost 7 inf + 126 20.849 * * [simplify]: Extracting #6: cost 4 inf + 451 20.850 * * [simplify]: Extracting #7: cost 0 inf + 1141 20.850 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) 20.850 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (+ (* a c) (* b d)) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d))))))) 20.850 * * * * [progress]: [ 59 / 113 ] simplifiying candidate # 20.851 * [simplify]: Simplifying (/ (* (cbrt 1) (cbrt 1)) 1) 20.851 * * [simplify]: iters left: 5 (4 enodes) 20.858 * * [simplify]: iters left: 4 (14 enodes) 20.860 * * [simplify]: iters left: 3 (16 enodes) 20.864 * * [simplify]: Extracting #0: cost 1 inf + 0 20.864 * * [simplify]: Extracting #1: cost 0 inf + 1 20.864 * [simplify]: Simplified to 1 20.864 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (+ (* a c) (* b d)) (* 1 (/ (cbrt 1) (+ (* c c) (* d d)))))) 20.864 * [simplify]: Simplifying (/ (cbrt 1) (+ (* c c) (* d d))) 20.864 * * [simplify]: iters left: 6 (8 enodes) 20.869 * * [simplify]: iters left: 5 (27 enodes) 20.877 * * [simplify]: iters left: 4 (29 enodes) 20.885 * * [simplify]: Extracting #0: cost 1 inf + 0 20.885 * * [simplify]: Extracting #1: cost 4 inf + 0 20.885 * * [simplify]: Extracting #2: cost 6 inf + 1 20.885 * * [simplify]: Extracting #3: cost 10 inf + 1 20.885 * * [simplify]: Extracting #4: cost 6 inf + 85 20.885 * * [simplify]: Extracting #5: cost 3 inf + 289 20.885 * * [simplify]: Extracting #6: cost 1 inf + 574 20.886 * * [simplify]: Extracting #7: cost 0 inf + 737 20.886 * [simplify]: Simplified to (/ 1 (+ (* c c) (* d d))) 20.886 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (+ (* a c) (* b d)) (* 1 (/ 1 (+ (* c c) (* d d)))))) 20.886 * * * * [progress]: [ 60 / 113 ] simplifiying candidate # 20.886 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 20.887 * * [simplify]: iters left: 6 (10 enodes) 20.892 * * [simplify]: iters left: 5 (35 enodes) 20.902 * * [simplify]: iters left: 4 (42 enodes) 20.913 * * [simplify]: iters left: 3 (44 enodes) 20.925 * * [simplify]: Extracting #0: cost 1 inf + 0 20.925 * * [simplify]: Extracting #1: cost 7 inf + 0 20.925 * * [simplify]: Extracting #2: cost 11 inf + 1 20.925 * * [simplify]: Extracting #3: cost 14 inf + 1 20.925 * * [simplify]: Extracting #4: cost 18 inf + 1 20.926 * * [simplify]: Extracting #5: cost 14 inf + 85 20.926 * * [simplify]: Extracting #6: cost 8 inf + 815 20.926 * * [simplify]: Extracting #7: cost 2 inf + 2351 20.927 * * [simplify]: Extracting #8: cost 0 inf + 2837 20.928 * [simplify]: Simplified to (/ (/ 1 (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* c c) (* d d)))) 20.928 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (+ (* a c) (* b d)) (* (/ (/ 1 (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* c c) (* d d)))) (/ (sqrt 1) (cbrt (+ (* c c) (* d d))))))) 20.929 * [simplify]: Simplifying (/ (sqrt 1) (cbrt (+ (* c c) (* d d)))) 20.929 * * [simplify]: iters left: 6 (9 enodes) 20.934 * * [simplify]: iters left: 5 (30 enodes) 20.945 * * [simplify]: iters left: 4 (32 enodes) 20.953 * * [simplify]: Extracting #0: cost 1 inf + 0 20.953 * * [simplify]: Extracting #1: cost 4 inf + 0 20.953 * * [simplify]: Extracting #2: cost 5 inf + 1 20.953 * * [simplify]: Extracting #3: cost 8 inf + 1 20.953 * * [simplify]: Extracting #4: cost 12 inf + 1 20.953 * * [simplify]: Extracting #5: cost 7 inf + 126 20.954 * * [simplify]: Extracting #6: cost 4 inf + 491 20.954 * * [simplify]: Extracting #7: cost 0 inf + 1301 20.954 * [simplify]: Simplified to (/ 1 (cbrt (+ (* c c) (* d d)))) 20.955 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (+ (* a c) (* b d)) (* (/ (sqrt 1) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ 1 (cbrt (+ (* c c) (* d d))))))) 20.955 * * * * [progress]: [ 61 / 113 ] simplifiying candidate # 20.955 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ (* c c) (* d d)))) 20.955 * * [simplify]: iters left: 6 (9 enodes) 20.959 * * [simplify]: iters left: 5 (30 enodes) 20.963 * * [simplify]: iters left: 4 (32 enodes) 20.968 * * [simplify]: Extracting #0: cost 1 inf + 0 20.968 * * [simplify]: Extracting #1: cost 4 inf + 0 20.968 * * [simplify]: Extracting #2: cost 5 inf + 1 20.968 * * [simplify]: Extracting #3: cost 8 inf + 1 20.968 * * [simplify]: Extracting #4: cost 12 inf + 1 20.968 * * [simplify]: Extracting #5: cost 7 inf + 126 20.968 * * [simplify]: Extracting #6: cost 4 inf + 451 20.968 * * [simplify]: Extracting #7: cost 0 inf + 1141 20.968 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) 20.968 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (+ (* a c) (* b d)) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (sqrt 1) (sqrt (+ (* c c) (* d d))))))) 20.969 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ (* c c) (* d d)))) 20.969 * * [simplify]: iters left: 6 (9 enodes) 20.971 * * [simplify]: iters left: 5 (30 enodes) 20.976 * * [simplify]: iters left: 4 (32 enodes) 20.980 * * [simplify]: Extracting #0: cost 1 inf + 0 20.980 * * [simplify]: Extracting #1: cost 4 inf + 0 20.980 * * [simplify]: Extracting #2: cost 5 inf + 1 20.980 * * [simplify]: Extracting #3: cost 8 inf + 1 20.980 * * [simplify]: Extracting #4: cost 12 inf + 1 20.980 * * [simplify]: Extracting #5: cost 7 inf + 126 20.981 * * [simplify]: Extracting #6: cost 4 inf + 451 20.981 * * [simplify]: Extracting #7: cost 0 inf + 1141 20.981 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) 20.981 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (+ (* a c) (* b d)) (* (/ (sqrt 1) (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d))))))) 20.981 * * * * [progress]: [ 62 / 113 ] simplifiying candidate # 20.981 * [simplify]: Simplifying (/ (sqrt 1) 1) 20.981 * * [simplify]: iters left: 3 (3 enodes) 20.983 * * [simplify]: iters left: 2 (9 enodes) 20.985 * * [simplify]: iters left: 1 (11 enodes) 20.986 * * [simplify]: Extracting #0: cost 1 inf + 0 20.986 * * [simplify]: Extracting #1: cost 0 inf + 1 20.986 * [simplify]: Simplified to 1 20.986 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (+ (* a c) (* b d)) (* 1 (/ (sqrt 1) (+ (* c c) (* d d)))))) 20.987 * [simplify]: Simplifying (/ (sqrt 1) (+ (* c c) (* d d))) 20.987 * * [simplify]: iters left: 6 (8 enodes) 20.989 * * [simplify]: iters left: 5 (27 enodes) 20.993 * * [simplify]: iters left: 4 (29 enodes) 20.997 * * [simplify]: Extracting #0: cost 1 inf + 0 20.997 * * [simplify]: Extracting #1: cost 4 inf + 0 20.997 * * [simplify]: Extracting #2: cost 6 inf + 1 20.997 * * [simplify]: Extracting #3: cost 10 inf + 1 20.997 * * [simplify]: Extracting #4: cost 6 inf + 85 20.997 * * [simplify]: Extracting #5: cost 3 inf + 289 20.997 * * [simplify]: Extracting #6: cost 1 inf + 574 20.997 * * [simplify]: Extracting #7: cost 0 inf + 737 20.998 * [simplify]: Simplified to (/ 1 (+ (* c c) (* d d))) 20.998 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (+ (* a c) (* b d)) (* 1 (/ 1 (+ (* c c) (* d d)))))) 20.998 * * * * [progress]: [ 63 / 113 ] simplifiying candidate # 20.998 * [simplify]: Simplifying (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 20.998 * * [simplify]: iters left: 6 (9 enodes) 21.003 * * [simplify]: iters left: 5 (32 enodes) 21.012 * * [simplify]: iters left: 4 (36 enodes) 21.022 * * [simplify]: Extracting #0: cost 1 inf + 0 21.022 * * [simplify]: Extracting #1: cost 6 inf + 0 21.022 * * [simplify]: Extracting #2: cost 9 inf + 1 21.022 * * [simplify]: Extracting #3: cost 12 inf + 1 21.022 * * [simplify]: Extracting #4: cost 16 inf + 1 21.022 * * [simplify]: Extracting #5: cost 14 inf + 3 21.022 * * [simplify]: Extracting #6: cost 10 inf + 248 21.023 * * [simplify]: Extracting #7: cost 3 inf + 1543 21.023 * * [simplify]: Extracting #8: cost 0 inf + 2351 21.024 * [simplify]: Simplified to (/ (/ 1 (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* c c) (* d d)))) 21.024 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (+ (* a c) (* b d)) (* (/ (/ 1 (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* c c) (* d d)))) (/ 1 (cbrt (+ (* c c) (* d d))))))) 21.025 * [simplify]: Simplifying (/ 1 (cbrt (+ (* c c) (* d d)))) 21.025 * * [simplify]: iters left: 6 (8 enodes) 21.027 * * [simplify]: iters left: 5 (27 enodes) 21.031 * * [simplify]: iters left: 4 (29 enodes) 21.036 * * [simplify]: Extracting #0: cost 1 inf + 0 21.036 * * [simplify]: Extracting #1: cost 4 inf + 0 21.036 * * [simplify]: Extracting #2: cost 5 inf + 1 21.036 * * [simplify]: Extracting #3: cost 8 inf + 1 21.036 * * [simplify]: Extracting #4: cost 12 inf + 1 21.036 * * [simplify]: Extracting #5: cost 10 inf + 3 21.036 * * [simplify]: Extracting #6: cost 5 inf + 289 21.036 * * [simplify]: Extracting #7: cost 1 inf + 1058 21.036 * * [simplify]: Extracting #8: cost 0 inf + 1301 21.037 * [simplify]: Simplified to (/ 1 (cbrt (+ (* c c) (* d d)))) 21.037 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (+ (* a c) (* b d)) (* (/ (/ 1 (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* c c) (* d d)))) (/ 1 (cbrt (+ (* c c) (* d d))))))) 21.037 * * * * [progress]: [ 64 / 113 ] simplifiying candidate # 21.037 * [simplify]: Simplifying (/ 1 (sqrt (+ (* c c) (* d d)))) 21.037 * * [simplify]: iters left: 6 (8 enodes) 21.039 * * [simplify]: iters left: 5 (27 enodes) 21.043 * * [simplify]: iters left: 4 (29 enodes) 21.049 * * [simplify]: Extracting #0: cost 1 inf + 0 21.049 * * [simplify]: Extracting #1: cost 4 inf + 0 21.049 * * [simplify]: Extracting #2: cost 5 inf + 1 21.049 * * [simplify]: Extracting #3: cost 8 inf + 1 21.049 * * [simplify]: Extracting #4: cost 12 inf + 1 21.049 * * [simplify]: Extracting #5: cost 10 inf + 3 21.050 * * [simplify]: Extracting #6: cost 5 inf + 289 21.050 * * [simplify]: Extracting #7: cost 1 inf + 938 21.050 * * [simplify]: Extracting #8: cost 0 inf + 1141 21.050 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) 21.050 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (+ (* a c) (* b d)) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d))))))) 21.050 * [simplify]: Simplifying (/ 1 (sqrt (+ (* c c) (* d d)))) 21.050 * * [simplify]: iters left: 6 (8 enodes) 21.053 * * [simplify]: iters left: 5 (27 enodes) 21.057 * * [simplify]: iters left: 4 (29 enodes) 21.064 * * [simplify]: Extracting #0: cost 1 inf + 0 21.064 * * [simplify]: Extracting #1: cost 4 inf + 0 21.064 * * [simplify]: Extracting #2: cost 5 inf + 1 21.064 * * [simplify]: Extracting #3: cost 8 inf + 1 21.064 * * [simplify]: Extracting #4: cost 12 inf + 1 21.064 * * [simplify]: Extracting #5: cost 10 inf + 3 21.064 * * [simplify]: Extracting #6: cost 5 inf + 289 21.064 * * [simplify]: Extracting #7: cost 1 inf + 938 21.065 * * [simplify]: Extracting #8: cost 0 inf + 1141 21.065 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) 21.065 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (+ (* a c) (* b d)) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d))))))) 21.065 * * * * [progress]: [ 65 / 113 ] simplifiying candidate # 21.066 * [simplify]: Simplifying (/ 1 1) 21.066 * * [simplify]: iters left: 2 (2 enodes) 21.067 * * [simplify]: iters left: 1 (6 enodes) 21.069 * * [simplify]: Extracting #0: cost 1 inf + 0 21.069 * * [simplify]: Extracting #1: cost 0 inf + 1 21.069 * [simplify]: Simplified to 1 21.069 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (+ (* a c) (* b d)) (* 1 (/ 1 (+ (* c c) (* d d)))))) 21.070 * [simplify]: Simplifying (/ 1 (+ (* c c) (* d d))) 21.070 * * [simplify]: iters left: 6 (7 enodes) 21.073 * * [simplify]: iters left: 5 (24 enodes) 21.081 * * [simplify]: iters left: 4 (26 enodes) 21.088 * * [simplify]: Extracting #0: cost 1 inf + 0 21.088 * * [simplify]: Extracting #1: cost 4 inf + 0 21.088 * * [simplify]: Extracting #2: cost 6 inf + 1 21.088 * * [simplify]: Extracting #3: cost 10 inf + 1 21.088 * * [simplify]: Extracting #4: cost 8 inf + 3 21.088 * * [simplify]: Extracting #5: cost 2 inf + 452 21.089 * * [simplify]: Extracting #6: cost 0 inf + 737 21.089 * [simplify]: Simplified to (/ 1 (+ (* c c) (* d d))) 21.089 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (+ (* a c) (* b d)) (* 1 (/ 1 (+ (* c c) (* d d)))))) 21.089 * * * * [progress]: [ 66 / 113 ] simplifiying candidate # 21.089 * * * * [progress]: [ 67 / 113 ] simplifiying candidate # 21.089 * * * * [progress]: [ 68 / 113 ] simplifiying candidate # 21.090 * * * * [progress]: [ 69 / 113 ] simplifiying candidate # 21.090 * [simplify]: Simplifying (cbrt (+ (* c c) (* d d))) 21.090 * * [simplify]: iters left: 5 (6 enodes) 21.092 * * [simplify]: iters left: 4 (19 enodes) 21.098 * * [simplify]: Extracting #0: cost 1 inf + 0 21.098 * * [simplify]: Extracting #1: cost 3 inf + 0 21.098 * * [simplify]: Extracting #2: cost 6 inf + 0 21.098 * * [simplify]: Extracting #3: cost 10 inf + 0 21.098 * * [simplify]: Extracting #4: cost 6 inf + 84 21.098 * * [simplify]: Extracting #5: cost 0 inf + 814 21.098 * [simplify]: Simplified to (cbrt (+ (* c c) (* d d))) 21.098 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (+ (* a c) (* b d)) (/ (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (cbrt (+ (* c c) (* d d)))))) 21.099 * * * * [progress]: [ 70 / 113 ] simplifiying candidate # 21.099 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d))) 21.099 * * [simplify]: iters left: 5 (6 enodes) 21.102 * * [simplify]: iters left: 4 (19 enodes) 21.104 * * [simplify]: Extracting #0: cost 1 inf + 0 21.104 * * [simplify]: Extracting #1: cost 3 inf + 0 21.104 * * [simplify]: Extracting #2: cost 6 inf + 0 21.104 * * [simplify]: Extracting #3: cost 10 inf + 0 21.104 * * [simplify]: Extracting #4: cost 6 inf + 84 21.104 * * [simplify]: Extracting #5: cost 0 inf + 734 21.104 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d))) 21.104 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (+ (* a c) (* b d)) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) 21.105 * * * * [progress]: [ 71 / 113 ] simplifiying candidate # 21.105 * [simplify]: Simplifying (+ (* c c) (* d d)) 21.105 * * [simplify]: iters left: 4 (5 enodes) 21.106 * * [simplify]: iters left: 3 (16 enodes) 21.108 * * [simplify]: Extracting #0: cost 1 inf + 0 21.108 * * [simplify]: Extracting #1: cost 4 inf + 0 21.108 * * [simplify]: Extracting #2: cost 8 inf + 0 21.108 * * [simplify]: Extracting #3: cost 4 inf + 84 21.108 * * [simplify]: Extracting #4: cost 0 inf + 410 21.108 * [simplify]: Simplified to (+ (* c c) (* d d)) 21.108 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (+ (* a c) (* b d)) (/ (/ 1 1) (+ (* c c) (* d d))))) 21.108 * * * * [progress]: [ 72 / 113 ] simplifiying candidate # 21.109 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 21.109 * * [simplify]: iters left: 3 (3 enodes) 21.112 * * [simplify]: iters left: 2 (11 enodes) 21.114 * * [simplify]: iters left: 1 (13 enodes) 21.115 * * [simplify]: Extracting #0: cost 1 inf + 0 21.115 * * [simplify]: Extracting #1: cost 0 inf + 1 21.116 * [simplify]: Simplified to 1 21.116 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (+ (* a c) (* b d)) (/ 1 (/ (+ (* c c) (* d d)) (cbrt 1))))) 21.116 * * * * [progress]: [ 73 / 113 ] simplifiying candidate # 21.116 * [simplify]: Simplifying (sqrt 1) 21.116 * * [simplify]: iters left: 1 (2 enodes) 21.117 * * [simplify]: Extracting #0: cost 1 inf + 0 21.118 * * [simplify]: Extracting #1: cost 0 inf + 1 21.118 * [simplify]: Simplified to 1 21.118 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (+ (* a c) (* b d)) (/ 1 (/ (+ (* c c) (* d d)) (sqrt 1))))) 21.118 * * * * [progress]: [ 74 / 113 ] simplifiying candidate # 21.118 * * * * [progress]: [ 75 / 113 ] simplifiying candidate # 21.118 * [simplify]: Simplifying (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))) 21.118 * * [simplify]: iters left: 6 (9 enodes) 21.120 * * [simplify]: iters left: 5 (49 enodes) 21.130 * * [simplify]: iters left: 4 (116 enodes) 21.157 * * [simplify]: iters left: 3 (231 enodes) 21.203 * * [simplify]: iters left: 2 (363 enodes) 21.351 * * [simplify]: Extracting #0: cost 1 inf + 0 21.351 * * [simplify]: Extracting #1: cost 20 inf + 0 21.352 * * [simplify]: Extracting #2: cost 146 inf + 0 21.353 * * [simplify]: Extracting #3: cost 200 inf + 1989 21.357 * * [simplify]: Extracting #4: cost 63 inf + 22827 21.366 * * [simplify]: Extracting #5: cost 0 inf + 34174 21.381 * * [simplify]: Extracting #6: cost 0 inf + 34134 21.395 * [simplify]: Simplified to (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d))) 21.396 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (+ (* a c) (* b d)) (* (/ 1 (+ (pow (* c c) 3) (pow (* d d) 3))) (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))))) 21.396 * * * * [progress]: [ 76 / 113 ] simplifiying candidate # 21.396 * [simplify]: Simplifying (- (* c c) (* d d)) 21.396 * * [simplify]: iters left: 4 (5 enodes) 21.399 * * [simplify]: iters left: 3 (20 enodes) 21.405 * * [simplify]: iters left: 2 (33 enodes) 21.415 * * [simplify]: iters left: 1 (50 enodes) 21.430 * * [simplify]: Extracting #0: cost 1 inf + 0 21.430 * * [simplify]: Extracting #1: cost 11 inf + 0 21.430 * * [simplify]: Extracting #2: cost 29 inf + 0 21.430 * * [simplify]: Extracting #3: cost 19 inf + 455 21.431 * * [simplify]: Extracting #4: cost 0 inf + 2130 21.431 * * [simplify]: Extracting #5: cost 0 inf + 1970 21.432 * [simplify]: Simplified to (* (+ c d) (- c d)) 21.432 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (+ (* a c) (* b d)) (* (/ 1 (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (* (+ c d) (- c d))))) 21.432 * * * * [progress]: [ 77 / 113 ] simplifiying candidate #real (real->posit16 (/ 1 (+ (* c c) (* d d)))))))> 21.432 * * * * [progress]: [ 78 / 113 ] simplifiying candidate # 21.432 * [simplify]: Simplifying (* (exp (* a c)) (exp (* b d))) 21.432 * * [simplify]: iters left: 5 (9 enodes) 21.434 * * [simplify]: iters left: 4 (36 enodes) 21.440 * * [simplify]: iters left: 3 (55 enodes) 21.455 * * [simplify]: iters left: 2 (91 enodes) 21.488 * * [simplify]: iters left: 1 (191 enodes) 21.580 * * [simplify]: Extracting #0: cost 1 inf + 0 21.580 * * [simplify]: Extracting #1: cost 38 inf + 0 21.580 * * [simplify]: Extracting #2: cost 150 inf + 0 21.581 * * [simplify]: Extracting #3: cost 173 inf + 772 21.582 * * [simplify]: Extracting #4: cost 148 inf + 4628 21.586 * * [simplify]: Extracting #5: cost 93 inf + 18511 21.592 * * [simplify]: Extracting #6: cost 27 inf + 61555 21.600 * * [simplify]: Extracting #7: cost 0 inf + 82217 21.608 * [simplify]: Simplified to (exp (+ (* a c) (* b d))) 21.608 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (* (log (exp (+ (* a c) (* b d)))) (/ 1 (+ (* c c) (* d d))))) 21.608 * * * * [progress]: [ 79 / 113 ] simplifiying candidate # 21.608 * * * * [progress]: [ 80 / 113 ] simplifiying candidate # 21.608 * * * * [progress]: [ 81 / 113 ] simplifiying candidate # 21.608 * * * * [progress]: [ 82 / 113 ] simplifiying candidate # 21.608 * * * * [progress]: [ 83 / 113 ] simplifiying candidate # 21.608 * * * * [progress]: [ 84 / 113 ] simplifiying candidate # 21.608 * * * * [progress]: [ 85 / 113 ] simplifiying candidate # 21.609 * * * * [progress]: [ 86 / 113 ] simplifiying candidate # 21.609 * * * * [progress]: [ 87 / 113 ] simplifiying candidate # 21.609 * * * * [progress]: [ 88 / 113 ] simplifiying candidate #real (real->posit16 (+ (* a c) (* b d)))) (/ 1 (+ (* c c) (* d d)))))> 21.609 * * * * [progress]: [ 89 / 113 ] simplifiying candidate # 21.609 * * * * [progress]: [ 90 / 113 ] simplifiying candidate # 21.609 * [simplify]: Simplifying (* (exp (* c c)) (exp (* d d))) 21.609 * * [simplify]: iters left: 5 (7 enodes) 21.611 * * [simplify]: iters left: 4 (28 enodes) 21.615 * * [simplify]: iters left: 3 (43 enodes) 21.631 * * [simplify]: iters left: 2 (75 enodes) 21.659 * * [simplify]: iters left: 1 (169 enodes) 21.742 * * [simplify]: Extracting #0: cost 1 inf + 0 21.742 * * [simplify]: Extracting #1: cost 28 inf + 0 21.743 * * [simplify]: Extracting #2: cost 119 inf + 0 21.744 * * [simplify]: Extracting #3: cost 136 inf + 1135 21.745 * * [simplify]: Extracting #4: cost 131 inf + 1568 21.748 * * [simplify]: Extracting #5: cost 99 inf + 8302 21.758 * * [simplify]: Extracting #6: cost 11 inf + 60490 21.771 * * [simplify]: Extracting #7: cost 0 inf + 69564 21.785 * [simplify]: Simplified to (exp (+ (* c c) (* d d))) 21.786 * [simplify]: Simplified (2 2 2 1) to (λ (a b c d) (* (+ (* a c) (* b d)) (/ 1 (log (exp (+ (* c c) (* d d))))))) 21.786 * * * * [progress]: [ 91 / 113 ] simplifiying candidate # 21.786 * * * * [progress]: [ 92 / 113 ] simplifiying candidate # 21.786 * * * * [progress]: [ 93 / 113 ] simplifiying candidate # 21.786 * * * * [progress]: [ 94 / 113 ] simplifiying candidate # 21.786 * * * * [progress]: [ 95 / 113 ] simplifiying candidate # 21.786 * * * * [progress]: [ 96 / 113 ] simplifiying candidate # 21.786 * * * * [progress]: [ 97 / 113 ] simplifiying candidate # 21.786 * * * * [progress]: [ 98 / 113 ] simplifiying candidate # 21.786 * * * * [progress]: [ 99 / 113 ] simplifiying candidate # 21.786 * * * * [progress]: [ 100 / 113 ] simplifiying candidate #real (real->posit16 (+ (* c c) (* d d)))))))> 21.786 * * * * [progress]: [ 101 / 113 ] simplifiying candidate # 21.786 * * * * [progress]: [ 102 / 113 ] simplifiying candidate # 21.787 * [simplify]: Simplifying 0 21.787 * * [simplify]: iters left: 0 (1 enodes) 21.787 * * [simplify]: Extracting #0: cost 1 inf + 0 21.787 * * [simplify]: Extracting #1: cost 0 inf + 1 21.787 * [simplify]: Simplified to 0 21.787 * [simplify]: Simplified (2) to (λ (a b c d) 0) 21.787 * * * * [progress]: [ 103 / 113 ] simplifiying candidate # 21.788 * [simplify]: Simplifying 0 21.788 * * [simplify]: iters left: 0 (1 enodes) 21.788 * * [simplify]: Extracting #0: cost 1 inf + 0 21.788 * * [simplify]: Extracting #1: cost 0 inf + 1 21.788 * [simplify]: Simplified to 0 21.788 * [simplify]: Simplified (2) to (λ (a b c d) 0) 21.788 * * * * [progress]: [ 104 / 113 ] simplifiying candidate # 21.788 * [simplify]: Simplifying 0 21.788 * * [simplify]: iters left: 0 (1 enodes) 21.789 * * [simplify]: Extracting #0: cost 1 inf + 0 21.789 * * [simplify]: Extracting #1: cost 0 inf + 1 21.789 * [simplify]: Simplified to 0 21.789 * [simplify]: Simplified (2) to (λ (a b c d) 0) 21.789 * * * * [progress]: [ 105 / 113 ] simplifiying candidate # 21.789 * [simplify]: Simplifying 0 21.789 * * [simplify]: iters left: 0 (1 enodes) 21.790 * * [simplify]: Extracting #0: cost 1 inf + 0 21.790 * * [simplify]: Extracting #1: cost 0 inf + 1 21.790 * [simplify]: Simplified to 0 21.790 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (+ (* a c) (* b d)) 0)) 21.790 * * * * [progress]: [ 106 / 113 ] simplifiying candidate # 21.790 * [simplify]: Simplifying 0 21.790 * * [simplify]: iters left: 0 (1 enodes) 21.790 * * [simplify]: Extracting #0: cost 1 inf + 0 21.790 * * [simplify]: Extracting #1: cost 0 inf + 1 21.790 * [simplify]: Simplified to 0 21.791 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (+ (* a c) (* b d)) 0)) 21.791 * * * * [progress]: [ 107 / 113 ] simplifiying candidate # 21.791 * [simplify]: Simplifying 0 21.791 * * [simplify]: iters left: 0 (1 enodes) 21.791 * * [simplify]: Extracting #0: cost 1 inf + 0 21.791 * * [simplify]: Extracting #1: cost 0 inf + 1 21.791 * [simplify]: Simplified to 0 21.791 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (+ (* a c) (* b d)) 0)) 21.791 * * * * [progress]: [ 108 / 113 ] simplifiying candidate # 21.791 * [simplify]: Simplifying 0 21.791 * * [simplify]: iters left: 0 (1 enodes) 21.792 * * [simplify]: Extracting #0: cost 1 inf + 0 21.792 * * [simplify]: Extracting #1: cost 0 inf + 1 21.792 * [simplify]: Simplified to 0 21.792 * [simplify]: Simplified (2 1) to (λ (a b c d) (* 0 (/ 1 (+ (* c c) (* d d))))) 21.792 * * * * [progress]: [ 109 / 113 ] simplifiying candidate # 21.792 * [simplify]: Simplifying (+ (* a c) (* b d)) 21.792 * * [simplify]: iters left: 4 (7 enodes) 21.794 * * [simplify]: iters left: 3 (24 enodes) 21.797 * * [simplify]: Extracting #0: cost 1 inf + 0 21.797 * * [simplify]: Extracting #1: cost 4 inf + 0 21.797 * * [simplify]: Extracting #2: cost 10 inf + 0 21.797 * * [simplify]: Extracting #3: cost 6 inf + 4 21.797 * * [simplify]: Extracting #4: cost 1 inf + 296 21.797 * * [simplify]: Extracting #5: cost 0 inf + 420 21.797 * [simplify]: Simplified to (+ (* b d) (* a c)) 21.797 * [simplify]: Simplified (2 1) to (λ (a b c d) (* (+ (* b d) (* a c)) (/ 1 (+ (* c c) (* d d))))) 21.797 * * * * [progress]: [ 110 / 113 ] simplifiying candidate # 21.798 * [simplify]: Simplifying (+ (* a c) (* b d)) 21.798 * * [simplify]: iters left: 4 (7 enodes) 21.799 * * [simplify]: iters left: 3 (24 enodes) 21.802 * * [simplify]: Extracting #0: cost 1 inf + 0 21.802 * * [simplify]: Extracting #1: cost 4 inf + 0 21.803 * * [simplify]: Extracting #2: cost 10 inf + 0 21.803 * * [simplify]: Extracting #3: cost 6 inf + 4 21.803 * * [simplify]: Extracting #4: cost 1 inf + 296 21.803 * * [simplify]: Extracting #5: cost 0 inf + 420 21.803 * [simplify]: Simplified to (+ (* b d) (* a c)) 21.803 * [simplify]: Simplified (2 1) to (λ (a b c d) (* (+ (* b d) (* a c)) (/ 1 (+ (* c c) (* d d))))) 21.803 * * * * [progress]: [ 111 / 113 ] simplifiying candidate # 21.803 * [simplify]: Simplifying (+ (pow d 2) (pow c 2)) 21.803 * * [simplify]: iters left: 3 (6 enodes) 21.805 * * [simplify]: iters left: 2 (27 enodes) 21.810 * * [simplify]: iters left: 1 (31 enodes) 21.814 * * [simplify]: Extracting #0: cost 1 inf + 0 21.814 * * [simplify]: Extracting #1: cost 4 inf + 0 21.814 * * [simplify]: Extracting #2: cost 9 inf + 0 21.814 * * [simplify]: Extracting #3: cost 6 inf + 3 21.814 * * [simplify]: Extracting #4: cost 1 inf + 370 21.814 * * [simplify]: Extracting #5: cost 0 inf + 411 21.814 * [simplify]: Simplified to (+ (* d d) (* c c)) 21.814 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (+ (* a c) (* b d)) (/ 1 (+ (* d d) (* c c))))) 21.815 * * * * [progress]: [ 112 / 113 ] simplifiying candidate # 21.815 * [simplify]: Simplifying (+ (pow c 2) (pow d 2)) 21.815 * * [simplify]: iters left: 3 (6 enodes) 21.819 * * [simplify]: iters left: 2 (27 enodes) 21.827 * * [simplify]: iters left: 1 (31 enodes) 21.835 * * [simplify]: Extracting #0: cost 1 inf + 0 21.835 * * [simplify]: Extracting #1: cost 4 inf + 0 21.835 * * [simplify]: Extracting #2: cost 9 inf + 0 21.835 * * [simplify]: Extracting #3: cost 6 inf + 3 21.835 * * [simplify]: Extracting #4: cost 1 inf + 370 21.835 * * [simplify]: Extracting #5: cost 0 inf + 411 21.836 * [simplify]: Simplified to (+ (* c c) (* d d)) 21.836 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))) 21.836 * * * * [progress]: [ 113 / 113 ] simplifiying candidate # 21.836 * [simplify]: Simplifying (+ (pow c 2) (pow d 2)) 21.836 * * [simplify]: iters left: 3 (6 enodes) 21.840 * * [simplify]: iters left: 2 (27 enodes) 21.852 * * [simplify]: iters left: 1 (31 enodes) 21.860 * * [simplify]: Extracting #0: cost 1 inf + 0 21.860 * * [simplify]: Extracting #1: cost 4 inf + 0 21.860 * * [simplify]: Extracting #2: cost 9 inf + 0 21.860 * * [simplify]: Extracting #3: cost 6 inf + 3 21.860 * * [simplify]: Extracting #4: cost 1 inf + 370 21.860 * * [simplify]: Extracting #5: cost 0 inf + 411 21.861 * [simplify]: Simplified to (+ (* c c) (* d d)) 21.861 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))) 21.861 * * * [progress]: adding candidates to table 23.220 * [progress]: [Phase 3 of 3] Extracting. 23.220 * * [regime]: Finding splitpoints for: (# #real (real->posit16 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))> # # # # # # #) 23.222 * * * [regime-changes]: Trying 5 branch expressions: (d b c a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) 23.222 * * * * [regimes]: Trying to branch on d from (# #real (real->posit16 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))> # # # # # # #) 23.329 * * * * [regimes]: Trying to branch on b from (# #real (real->posit16 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))> # # # # # # #) 23.415 * * * * [regimes]: Trying to branch on c from (# #real (real->posit16 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))> # # # # # # #) 23.478 * * * * [regimes]: Trying to branch on a from (# #real (real->posit16 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))> # # # # # # #) 23.555 * * * * [regimes]: Trying to branch on (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) from (# #real (real->posit16 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))> # # # # # # #) 23.627 * * * [regime]: Found split indices: #