0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.064 * * * [progress]: [2/2] Setting up program. 0.070 * [progress]: [Phase 2 of 3] Improving. 0.070 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.070 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) 0.070 * * [simplify]: iters left: 6 (11 enodes) 0.075 * * [simplify]: iters left: 5 (37 enodes) 0.084 * * [simplify]: Extracting #0: cost 1 inf + 0 0.084 * * [simplify]: Extracting #1: cost 4 inf + 0 0.084 * * [simplify]: Extracting #2: cost 10 inf + 0 0.084 * * [simplify]: Extracting #3: cost 18 inf + 0 0.084 * * [simplify]: Extracting #4: cost 9 inf + 291 0.084 * * [simplify]: Extracting #5: cost 1 inf + 1272 0.084 * * [simplify]: Extracting #6: cost 0 inf + 1396 0.085 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) 0.085 * [simplify]: Simplified (2) to (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))) 0.088 * * [progress]: iteration 1 / 4 0.088 * * * [progress]: picking best candidate 0.090 * * * * [pick]: Picked # 0.090 * * * [progress]: localizing error 0.110 * * * [progress]: generating rewritten candidates 0.110 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.155 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.170 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.185 * * * [progress]: generating series expansions 0.185 * * * * [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 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 0.186 * [taylor]: Taking taylor expansion of (pow c 2) in d 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 (pow d 2) in d 0.186 * [taylor]: Taking taylor expansion of d in d 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (* a c) into (* a c) 0.186 * [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 0.187 * [taylor]: Taking taylor expansion of c in b 0.187 * [backup-simplify]: Simplify c into c 0.187 * [taylor]: Taking taylor expansion of (* b d) in b 0.187 * [taylor]: Taking taylor expansion of b in b 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [taylor]: Taking taylor expansion of d in b 0.187 * [backup-simplify]: Simplify d into d 0.187 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b 0.187 * [taylor]: Taking taylor expansion of (pow c 2) in b 0.187 * [taylor]: Taking taylor expansion of c in b 0.187 * [backup-simplify]: Simplify c into c 0.187 * [taylor]: Taking taylor expansion of (pow d 2) in b 0.187 * [taylor]: Taking taylor expansion of d in b 0.187 * [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)) 0.188 * [backup-simplify]: Simplify (/ (* a c) (+ (pow c 2) (pow d 2))) into (/ (* a c) (+ (pow c 2) (pow d 2))) 0.188 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in c 0.188 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c 0.188 * [taylor]: Taking taylor expansion of (* a c) in c 0.188 * [taylor]: Taking taylor expansion of a in c 0.188 * [backup-simplify]: Simplify a into a 0.188 * [taylor]: Taking taylor expansion of c in c 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [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) 0.189 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 0.189 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.189 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 0.189 * [backup-simplify]: Simplify (/ (* b d) (pow d 2)) into (/ b d) 0.189 * [taylor]: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (pow c 2) (pow d 2))) in a 0.189 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 0.189 * [taylor]: Taking taylor expansion of (* a c) in a 0.189 * [taylor]: Taking taylor expansion of a in a 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [taylor]: Taking taylor expansion of c in a 0.189 * [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 0.190 * [backup-simplify]: Simplify (* b d) into (* b d) 0.190 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 0.190 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.190 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.190 * [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 0.191 * [taylor]: Taking taylor expansion of c in a 0.191 * [backup-simplify]: Simplify c into c 0.191 * [taylor]: Taking taylor expansion of (pow d 2) in a 0.191 * [taylor]: Taking taylor expansion of d in a 0.191 * [backup-simplify]: Simplify d into d 0.191 * [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) 0.192 * [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 0.192 * [backup-simplify]: Simplify d into d 0.192 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 0.192 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.192 * [taylor]: Taking taylor expansion of c in c 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.192 * [taylor]: Taking taylor expansion of d in c 0.192 * [backup-simplify]: Simplify d into d 0.192 * [backup-simplify]: Simplify (* b d) into (* b d) 0.192 * [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 0.194 * [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 0.195 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 0.195 * [taylor]: Taking taylor expansion of (pow c 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 0.195 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.195 * [taylor]: Taking taylor expansion of d in c 0.195 * [backup-simplify]: Simplify d into d 0.195 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.195 * [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 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [backup-simplify]: Simplify (- (/ 0 (pow d 2)) (+ (* (/ b d) (/ 0 (pow d 2))))) into 0 0.196 * [taylor]: Taking taylor expansion of 0 in b 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [taylor]: Taking taylor expansion of 0 in d 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [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 0.197 * [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 0.199 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.200 * [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 0.202 * [taylor]: Taking taylor expansion of (pow d 2) in b 0.202 * [taylor]: Taking taylor expansion of d in b 0.202 * [backup-simplify]: Simplify d into d 0.202 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.202 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 0.202 * [taylor]: Taking taylor expansion of (pow d 2) in d 0.202 * [taylor]: Taking taylor expansion of d in d 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (* 1 1) into 1 0.203 * [backup-simplify]: Simplify (/ 1 1) into 1 0.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 0.207 * [backup-simplify]: Simplify (* 1 1) into 1 0.208 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 0.208 * [backup-simplify]: Simplify (+ 1 0) into 1 0.208 * [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) 0.209 * [backup-simplify]: Simplify (/ 1 (pow d 3)) into (/ 1 (pow d 3)) 0.209 * [taylor]: Taking taylor expansion of 0 in d 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify (- (/ 0 d) (+ (* (/ 1 d) (/ 0 d)))) into 0 0.209 * [taylor]: Taking taylor expansion of 0 in d 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [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 0.212 * [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) 0.213 * [backup-simplify]: Simplify (+ 0 1) into 1 0.213 * [backup-simplify]: Simplify (/ (/ 1 b) 1) into (/ 1 b) 0.213 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 0.213 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 0.213 * [taylor]: Taking taylor expansion of (* b d) in b 0.213 * [taylor]: Taking taylor expansion of b in b 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [taylor]: Taking taylor expansion of d in b 0.213 * [backup-simplify]: Simplify d into d 0.213 * [backup-simplify]: Simplify (* 0 d) into 0 0.213 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 0.214 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.214 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 0.214 * [taylor]: Taking taylor expansion of (* a c) in b 0.214 * [taylor]: Taking taylor expansion of a in b 0.214 * [backup-simplify]: Simplify a into a 0.214 * [taylor]: Taking taylor expansion of c in b 0.214 * [backup-simplify]: Simplify c into c 0.214 * [backup-simplify]: Simplify (* a c) into (* a c) 0.214 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 0.214 * [taylor]: Taking taylor expansion of (pow c 2) in b 0.214 * [taylor]: Taking taylor expansion of c in b 0.214 * [backup-simplify]: Simplify c into c 0.214 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.214 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 0.214 * [taylor]: Taking taylor expansion of (pow d 2) in b 0.214 * [taylor]: Taking taylor expansion of d in b 0.214 * [backup-simplify]: Simplify d into d 0.214 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.214 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.214 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 0.215 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 0.215 * [backup-simplify]: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) 0.215 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 0.215 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 0.215 * [taylor]: Taking taylor expansion of (* b d) in c 0.215 * [taylor]: Taking taylor expansion of b in c 0.215 * [backup-simplify]: Simplify b into b 0.215 * [taylor]: Taking taylor expansion of d in c 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 c 0.215 * [taylor]: Taking taylor expansion of (* a c) in c 0.215 * [taylor]: Taking taylor expansion of a in c 0.215 * [backup-simplify]: Simplify a into a 0.215 * [taylor]: Taking taylor expansion of c in c 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (* a 0) into 0 0.216 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 0.216 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 0.216 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.216 * [taylor]: Taking taylor expansion of c in c 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (* 1 1) into 1 0.217 * [backup-simplify]: Simplify (/ 1 1) into 1 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 0.217 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.217 * [taylor]: Taking taylor expansion of d in c 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 a)) into (/ 1 a) 0.218 * [backup-simplify]: Simplify (+ 1 0) into 1 0.218 * [backup-simplify]: Simplify (/ (/ 1 a) 1) into (/ 1 a) 0.218 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 0.218 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 0.218 * [taylor]: Taking taylor expansion of (* b d) in a 0.218 * [taylor]: Taking taylor expansion of b in a 0.218 * [backup-simplify]: Simplify b into b 0.218 * [taylor]: Taking taylor expansion of d in a 0.218 * [backup-simplify]: Simplify d into d 0.218 * [backup-simplify]: Simplify (* b d) into (* b d) 0.218 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.218 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 0.218 * [taylor]: Taking taylor expansion of (* a c) in a 0.218 * [taylor]: Taking taylor expansion of a in a 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [taylor]: Taking taylor expansion of c in a 0.218 * [backup-simplify]: Simplify c into c 0.218 * [backup-simplify]: Simplify (* 0 c) into 0 0.219 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 0.219 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 0.219 * [taylor]: Taking taylor expansion of (pow c 2) in a 0.219 * [taylor]: Taking taylor expansion of c in a 0.219 * [backup-simplify]: Simplify c into c 0.219 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.219 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 0.219 * [taylor]: Taking taylor expansion of (pow d 2) in a 0.219 * [taylor]: Taking taylor expansion of d in a 0.219 * [backup-simplify]: Simplify d into d 0.219 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.219 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.219 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 0.220 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 0.220 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) 0.220 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 0.220 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 0.222 * [taylor]: Taking taylor expansion of (* b d) in a 0.222 * [taylor]: Taking taylor expansion of b in a 0.222 * [backup-simplify]: Simplify b into b 0.222 * [taylor]: Taking taylor expansion of d in a 0.222 * [backup-simplify]: Simplify d into d 0.222 * [backup-simplify]: Simplify (* b d) into (* b d) 0.223 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.223 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 0.223 * [taylor]: Taking taylor expansion of (* a c) in a 0.223 * [taylor]: Taking taylor expansion of a in a 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [taylor]: Taking taylor expansion of c in a 0.223 * [backup-simplify]: Simplify c into c 0.223 * [backup-simplify]: Simplify (* 0 c) into 0 0.223 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 0.223 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 0.224 * [taylor]: Taking taylor expansion of (pow c 2) in a 0.224 * [taylor]: Taking taylor expansion of c in a 0.224 * [backup-simplify]: Simplify c into c 0.224 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.224 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 0.224 * [taylor]: Taking taylor expansion of (pow d 2) in a 0.224 * [taylor]: Taking taylor expansion of d in a 0.224 * [backup-simplify]: Simplify d into d 0.224 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.224 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.224 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 0.224 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 0.224 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) 0.225 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c 0.225 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c 0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 0.225 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.225 * [taylor]: Taking taylor expansion of c in c 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (* 1 1) into 1 0.226 * [backup-simplify]: Simplify (/ 1 1) into 1 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 0.226 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.226 * [taylor]: Taking taylor expansion of d in c 0.226 * [backup-simplify]: Simplify d into d 0.226 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.226 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.226 * [taylor]: Taking taylor expansion of c in c 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (+ 1 0) into 1 0.227 * [backup-simplify]: Simplify (* 1 0) into 0 0.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 0.229 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [taylor]: Taking taylor expansion of 1 in b 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 0.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 0.231 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 0.231 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 0.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 0.231 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 0.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [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))) 0.232 * [taylor]: Taking taylor expansion of (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c 0.232 * [taylor]: Taking taylor expansion of (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c 0.232 * [taylor]: Taking taylor expansion of b in c 0.232 * [backup-simplify]: Simplify b into b 0.232 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 0.232 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.232 * [taylor]: Taking taylor expansion of c in c 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (* 1 1) into 1 0.233 * [backup-simplify]: Simplify (/ 1 1) into 1 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 0.233 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.233 * [taylor]: Taking taylor expansion of d in c 0.233 * [backup-simplify]: Simplify d into d 0.233 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.233 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.234 * [taylor]: Taking taylor expansion of d in c 0.234 * [backup-simplify]: Simplify d into d 0.234 * [backup-simplify]: Simplify (+ 1 0) into 1 0.234 * [backup-simplify]: Simplify (* 1 d) into d 0.234 * [backup-simplify]: Simplify (* b d) into (* b d) 0.234 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 0.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) into 0 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.236 * [taylor]: Taking taylor expansion of 0 in b 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [taylor]: Taking taylor expansion of 1 in d 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 0.237 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 0.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 0.238 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 0.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [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 0.239 * [taylor]: Taking taylor expansion of 0 in c 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [taylor]: Taking taylor expansion of 0 in b 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 0.239 * [taylor]: Taking taylor expansion of (* b d) in b 0.239 * [taylor]: Taking taylor expansion of b in b 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [taylor]: Taking taylor expansion of d in b 0.239 * [backup-simplify]: Simplify d into d 0.239 * [backup-simplify]: Simplify (* 0 d) into 0 0.240 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 0.240 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.240 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.240 * [taylor]: Taking taylor expansion of d in d 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (/ 1 1) into 1 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 0.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 0.243 * [backup-simplify]: Simplify (+ 0 0) into 0 0.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2)) 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) 0.244 * [taylor]: Taking taylor expansion of (- (/ 1 (pow d 2))) in b 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 0.244 * [taylor]: Taking taylor expansion of (pow d 2) in b 0.244 * [taylor]: Taking taylor expansion of d in b 0.244 * [backup-simplify]: Simplify d into d 0.244 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.244 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.244 * [taylor]: Taking taylor expansion of 0 in d 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [taylor]: Taking taylor expansion of 0 in d 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 0.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 0.246 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 0.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 0.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 0.247 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 0.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [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 0.248 * [taylor]: Taking taylor expansion of 0 in c 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [taylor]: Taking taylor expansion of 0 in b 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [taylor]: Taking taylor expansion of 0 in b 0.248 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 d)) into 0 0.250 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 0.250 * [taylor]: Taking taylor expansion of 0 in b 0.250 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 0.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 0.253 * [taylor]: Taking taylor expansion of 0 in b 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [taylor]: Taking taylor expansion of 0 in d 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [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)))) 0.254 * [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 0.254 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 0.254 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 0.254 * [taylor]: Taking taylor expansion of (* b d) in d 0.254 * [taylor]: Taking taylor expansion of b in d 0.254 * [backup-simplify]: Simplify b into b 0.254 * [taylor]: Taking taylor expansion of d in d 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (* b 0) into 0 0.254 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 0.254 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.254 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 0.254 * [taylor]: Taking taylor expansion of (* a c) in d 0.254 * [taylor]: Taking taylor expansion of a in d 0.254 * [backup-simplify]: Simplify a into a 0.254 * [taylor]: Taking taylor expansion of c in d 0.254 * [backup-simplify]: Simplify c into c 0.254 * [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 d 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 0.255 * [taylor]: Taking taylor expansion of (pow c 2) in d 0.255 * [taylor]: Taking taylor expansion of c in d 0.255 * [backup-simplify]: Simplify c into c 0.255 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.255 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 0.255 * [taylor]: Taking taylor expansion of (pow d 2) in d 0.255 * [taylor]: Taking taylor expansion of d in d 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (* 1 1) into 1 0.255 * [backup-simplify]: Simplify (/ 1 1) into 1 0.255 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 0.256 * [backup-simplify]: Simplify (+ 0 1) into 1 0.256 * [backup-simplify]: Simplify (/ (/ 1 b) 1) into (/ 1 b) 0.256 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 0.256 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 0.256 * [taylor]: Taking taylor expansion of (* b d) in b 0.256 * [taylor]: Taking taylor expansion of b in b 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [taylor]: Taking taylor expansion of d in b 0.256 * [backup-simplify]: Simplify d into d 0.256 * [backup-simplify]: Simplify (* 0 d) into 0 0.256 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 0.256 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.256 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 0.256 * [taylor]: Taking taylor expansion of (* a c) in b 0.256 * [taylor]: Taking taylor expansion of a in b 0.256 * [backup-simplify]: Simplify a into a 0.256 * [taylor]: Taking taylor expansion of c in b 0.256 * [backup-simplify]: Simplify c into c 0.256 * [backup-simplify]: Simplify (* a c) into (* a c) 0.256 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 0.256 * [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 0.257 * [backup-simplify]: Simplify d into d 0.257 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.257 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.257 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 0.257 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 0.257 * [backup-simplify]: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) 0.257 * [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 0.258 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.258 * [taylor]: Taking taylor expansion of d in c 0.258 * [backup-simplify]: Simplify d into d 0.258 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.258 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.258 * [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 0.259 * [backup-simplify]: Simplify b into b 0.259 * [taylor]: Taking taylor expansion of d in a 0.259 * [backup-simplify]: Simplify d into d 0.259 * [backup-simplify]: Simplify (* b d) into (* b d) 0.259 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.259 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 0.259 * [taylor]: Taking taylor expansion of (* a c) in a 0.259 * [taylor]: Taking taylor expansion of a in a 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [taylor]: Taking taylor expansion of c in a 0.259 * [backup-simplify]: Simplify c into c 0.259 * [backup-simplify]: Simplify (* 0 c) into 0 0.259 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 0.259 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 0.259 * [taylor]: Taking taylor expansion of (pow c 2) in a 0.259 * [taylor]: Taking taylor expansion of c in a 0.259 * [backup-simplify]: Simplify c into c 0.259 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.259 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 0.260 * [taylor]: Taking taylor expansion of (pow d 2) in a 0.260 * [taylor]: Taking taylor expansion of d in a 0.260 * [backup-simplify]: Simplify d into d 0.260 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.260 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.260 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 0.260 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 0.260 * [backup-simplify]: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) 0.260 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* b d)) (/ 1 (* a c))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 0.260 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 0.260 * [taylor]: Taking taylor expansion of (* b d) in a 0.260 * [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 0.261 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 0.261 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 0.261 * [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)) 0.261 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c 0.261 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 0.261 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.261 * [taylor]: Taking taylor expansion of c in c 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (* 1 1) into 1 0.262 * [backup-simplify]: Simplify (/ 1 1) into 1 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 0.262 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.262 * [taylor]: Taking taylor expansion of d in c 0.262 * [backup-simplify]: Simplify d into d 0.262 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.262 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.262 * [taylor]: Taking taylor expansion of c in c 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (+ 1 0) into 1 0.263 * [backup-simplify]: Simplify (* 1 0) into 0 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 0.264 * [backup-simplify]: Simplify (/ 1 1) into 1 0.264 * [taylor]: Taking taylor expansion of 1 in b 0.264 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 0.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 0.265 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 0.265 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 0.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 0.265 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 0.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [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))) 0.266 * [taylor]: Taking taylor expansion of (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c 0.266 * [taylor]: Taking taylor expansion of (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c 0.266 * [taylor]: Taking taylor expansion of b in c 0.266 * [backup-simplify]: Simplify b into b 0.266 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c 0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 0.266 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.266 * [taylor]: Taking taylor expansion of c in c 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (* 1 1) into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 0.267 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.267 * [taylor]: Taking taylor expansion of d in c 0.267 * [backup-simplify]: Simplify d into d 0.267 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.267 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.267 * [taylor]: Taking taylor expansion of d in c 0.268 * [backup-simplify]: Simplify d into d 0.268 * [backup-simplify]: Simplify (+ 1 0) into 1 0.268 * [backup-simplify]: Simplify (* 1 d) into d 0.268 * [backup-simplify]: Simplify (* b d) into (* b d) 0.268 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 0.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) into 0 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.272 * [taylor]: Taking taylor expansion of 0 in b 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [taylor]: Taking taylor expansion of 1 in d 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 0.277 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 0.279 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [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 0.281 * [taylor]: Taking taylor expansion of 0 in c 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [taylor]: Taking taylor expansion of 0 in b 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 0.281 * [taylor]: Taking taylor expansion of (* b d) in b 0.281 * [taylor]: Taking taylor expansion of b in b 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [taylor]: Taking taylor expansion of d in b 0.281 * [backup-simplify]: Simplify d into d 0.281 * [backup-simplify]: Simplify (* 0 d) into 0 0.281 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 0.282 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.282 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.282 * [taylor]: Taking taylor expansion of d in d 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (/ 1 1) into 1 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 0.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2)) 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) 0.288 * [taylor]: Taking taylor expansion of (- (/ 1 (pow d 2))) in b 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 0.288 * [taylor]: Taking taylor expansion of (pow d 2) in b 0.288 * [taylor]: Taking taylor expansion of d in b 0.288 * [backup-simplify]: Simplify d into d 0.288 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.289 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.289 * [taylor]: Taking taylor expansion of 0 in d 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [taylor]: Taking taylor expansion of 0 in d 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 0.291 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 0.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 0.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 0.293 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 0.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [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 0.295 * [taylor]: Taking taylor expansion of 0 in c 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [taylor]: Taking taylor expansion of 0 in b 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [taylor]: Taking taylor expansion of 0 in b 0.295 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 d)) into 0 0.298 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 0.298 * [taylor]: Taking taylor expansion of 0 in b 0.298 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 0.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 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 0 in d 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.304 * [backup-simplify]: Simplify (+ (* a c) (* b d)) into (+ (* a c) (* b d)) 0.304 * [approximate]: Taking taylor expansion of (+ (* a c) (* b d)) in (a c b d) around 0 0.304 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d 0.304 * [taylor]: Taking taylor expansion of (* a c) in d 0.304 * [taylor]: Taking taylor expansion of a in d 0.304 * [backup-simplify]: Simplify a into a 0.304 * [taylor]: Taking taylor expansion of c in d 0.304 * [backup-simplify]: Simplify c into c 0.304 * [taylor]: Taking taylor expansion of (* b d) in d 0.304 * [taylor]: Taking taylor expansion of b in d 0.304 * [backup-simplify]: Simplify b into b 0.304 * [taylor]: Taking taylor expansion of d in d 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b 0.305 * [taylor]: Taking taylor expansion of (* a c) in b 0.305 * [taylor]: Taking taylor expansion of a in b 0.305 * [backup-simplify]: Simplify a into a 0.305 * [taylor]: Taking taylor expansion of c in b 0.305 * [backup-simplify]: Simplify c into c 0.305 * [taylor]: Taking taylor expansion of (* b d) in b 0.305 * [taylor]: Taking taylor expansion of b in b 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [taylor]: Taking taylor expansion of d in b 0.305 * [backup-simplify]: Simplify d into d 0.305 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c 0.305 * [taylor]: Taking taylor expansion of (* a c) in c 0.305 * [taylor]: Taking taylor expansion of a in c 0.305 * [backup-simplify]: Simplify a into a 0.305 * [taylor]: Taking taylor expansion of c in c 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [taylor]: Taking taylor expansion of (* b d) in c 0.305 * [taylor]: Taking taylor expansion of b in c 0.305 * [backup-simplify]: Simplify b into b 0.305 * [taylor]: Taking taylor expansion of d in c 0.305 * [backup-simplify]: Simplify d into d 0.305 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 0.305 * [taylor]: Taking taylor expansion of (* a c) in a 0.305 * [taylor]: Taking taylor expansion of a in a 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [taylor]: Taking taylor expansion of c in a 0.305 * [backup-simplify]: Simplify c into c 0.305 * [taylor]: Taking taylor expansion of (* b d) in a 0.305 * [taylor]: Taking taylor expansion of b in a 0.305 * [backup-simplify]: Simplify b into b 0.305 * [taylor]: Taking taylor expansion of d in a 0.305 * [backup-simplify]: Simplify d into d 0.305 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 0.305 * [taylor]: Taking taylor expansion of (* a c) in a 0.305 * [taylor]: Taking taylor expansion of a in a 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [taylor]: Taking taylor expansion of c in a 0.305 * [backup-simplify]: Simplify c into c 0.306 * [taylor]: Taking taylor expansion of (* b d) in a 0.306 * [taylor]: Taking taylor expansion of b in a 0.306 * [backup-simplify]: Simplify b into b 0.306 * [taylor]: Taking taylor expansion of d in a 0.306 * [backup-simplify]: Simplify d into d 0.306 * [backup-simplify]: Simplify (* 0 c) into 0 0.306 * [backup-simplify]: Simplify (* b d) into (* b d) 0.306 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 0.306 * [taylor]: Taking taylor expansion of (* b d) in c 0.306 * [taylor]: Taking taylor expansion of b in c 0.306 * [backup-simplify]: Simplify b into b 0.306 * [taylor]: Taking taylor expansion of d in c 0.306 * [backup-simplify]: Simplify d into d 0.306 * [backup-simplify]: Simplify (* b d) into (* b d) 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 0.306 * [taylor]: Taking taylor expansion of 0 in d 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 0.307 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.307 * [backup-simplify]: Simplify (+ c 0) into c 0.307 * [taylor]: Taking taylor expansion of c in c 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [taylor]: Taking taylor expansion of 0 in b 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [taylor]: Taking taylor expansion of 0 in d 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.307 * [taylor]: Taking taylor expansion of 0 in b 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [taylor]: Taking taylor expansion of 0 in d 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 0.308 * [taylor]: Taking taylor expansion of d in d 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 0.309 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 0.310 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [taylor]: Taking taylor expansion of 0 in c 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [taylor]: Taking taylor expansion of 0 in b 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [taylor]: Taking taylor expansion of 0 in d 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) into (+ (/ 1 (* b d)) (/ 1 (* a c))) 0.310 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 0.310 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 0.310 * [taylor]: Taking taylor expansion of (* b d) in d 0.310 * [taylor]: Taking taylor expansion of b in d 0.310 * [backup-simplify]: Simplify b into b 0.310 * [taylor]: Taking taylor expansion of d in d 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (* b 0) into 0 0.311 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 0.311 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.311 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 0.311 * [taylor]: Taking taylor expansion of (* a c) in d 0.311 * [taylor]: Taking taylor expansion of a in d 0.311 * [backup-simplify]: Simplify a into a 0.311 * [taylor]: Taking taylor expansion of c in d 0.311 * [backup-simplify]: Simplify c into c 0.311 * [backup-simplify]: Simplify (* a c) into (* a c) 0.311 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 0.311 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 0.311 * [taylor]: Taking taylor expansion of (* b d) in b 0.311 * [taylor]: Taking taylor expansion of b in b 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [taylor]: Taking taylor expansion of d in b 0.311 * [backup-simplify]: Simplify d into d 0.312 * [backup-simplify]: Simplify (* 0 d) into 0 0.312 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 0.312 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.312 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 0.312 * [taylor]: Taking taylor expansion of (* a c) in b 0.312 * [taylor]: Taking taylor expansion of a in b 0.312 * [backup-simplify]: Simplify a into a 0.312 * [taylor]: Taking taylor expansion of c in b 0.312 * [backup-simplify]: Simplify c into c 0.312 * [backup-simplify]: Simplify (* a c) into (* a c) 0.312 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 0.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 0.312 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 0.312 * [taylor]: Taking taylor expansion of (* b d) in c 0.312 * [taylor]: Taking taylor expansion of b in c 0.312 * [backup-simplify]: Simplify b into b 0.312 * [taylor]: Taking taylor expansion of d in c 0.312 * [backup-simplify]: Simplify d into d 0.313 * [backup-simplify]: Simplify (* b d) into (* b d) 0.313 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.313 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 0.313 * [taylor]: Taking taylor expansion of (* a c) in c 0.313 * [taylor]: Taking taylor expansion of a in c 0.313 * [backup-simplify]: Simplify a into a 0.313 * [taylor]: Taking taylor expansion of c in c 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (* a 0) into 0 0.313 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 0.313 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 0.313 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 0.313 * [taylor]: Taking taylor expansion of (* b d) in a 0.313 * [taylor]: Taking taylor expansion of b in a 0.313 * [backup-simplify]: Simplify b into b 0.313 * [taylor]: Taking taylor expansion of d in a 0.313 * [backup-simplify]: Simplify d into d 0.314 * [backup-simplify]: Simplify (* b d) into (* b d) 0.314 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.314 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 0.314 * [taylor]: Taking taylor expansion of (* a c) in a 0.314 * [taylor]: Taking taylor expansion of a in a 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [taylor]: Taking taylor expansion of c in a 0.314 * [backup-simplify]: Simplify c into c 0.314 * [backup-simplify]: Simplify (* 0 c) into 0 0.314 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 0.314 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 0.314 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 0.314 * [taylor]: Taking taylor expansion of (* b d) in a 0.314 * [taylor]: Taking taylor expansion of b in a 0.314 * [backup-simplify]: Simplify b into b 0.314 * [taylor]: Taking taylor expansion of d in a 0.314 * [backup-simplify]: Simplify d into d 0.315 * [backup-simplify]: Simplify (* b d) into (* b d) 0.315 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.315 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 0.315 * [taylor]: Taking taylor expansion of (* a c) in a 0.315 * [taylor]: Taking taylor expansion of a in a 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [taylor]: Taking taylor expansion of c in a 0.315 * [backup-simplify]: Simplify c into c 0.315 * [backup-simplify]: Simplify (* 0 c) into 0 0.315 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 0.315 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.316 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 0.316 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.316 * [taylor]: Taking taylor expansion of c in c 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (/ 1 1) into 1 0.316 * [taylor]: Taking taylor expansion of 1 in b 0.316 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 0.317 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 0.317 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 0.317 * [taylor]: Taking taylor expansion of (* b d) in c 0.317 * [taylor]: Taking taylor expansion of b in c 0.317 * [backup-simplify]: Simplify b into b 0.317 * [taylor]: Taking taylor expansion of d in c 0.317 * [backup-simplify]: Simplify d into d 0.317 * [backup-simplify]: Simplify (* b d) into (* b d) 0.317 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 1 in d 0.318 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 0.320 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.321 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [taylor]: Taking taylor expansion of 0 in c 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 0.321 * [taylor]: Taking taylor expansion of (* b d) in b 0.321 * [taylor]: Taking taylor expansion of b in b 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [taylor]: Taking taylor expansion of d in b 0.321 * [backup-simplify]: Simplify d into d 0.321 * [backup-simplify]: Simplify (* 0 d) into 0 0.321 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 0.321 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.321 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.321 * [taylor]: Taking taylor expansion of d in d 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (/ 1 1) into 1 0.322 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.323 * [taylor]: Taking taylor expansion of 0 in b 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [taylor]: Taking taylor expansion of 0 in d 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [taylor]: Taking taylor expansion of 0 in d 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 0.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 0.326 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 0.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.326 * [backup-simplify]: Simplify (+ 0 0) into 0 0.326 * [taylor]: Taking taylor expansion of 0 in c 0.326 * [backup-simplify]: Simplify 0 into 0 0.327 * [taylor]: Taking taylor expansion of 0 in b 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 0.327 * [taylor]: Taking taylor expansion of 0 in b 0.327 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.328 * [taylor]: Taking taylor expansion of 0 in b 0.328 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 0.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 0.329 * [taylor]: Taking taylor expansion of 0 in d 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [taylor]: Taking taylor expansion of 0 in d 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [taylor]: Taking taylor expansion of 0 in d 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [taylor]: Taking taylor expansion of 0 in d 0.329 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 0.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 0.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0 0.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 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 0 in b 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [taylor]: Taking taylor expansion of 0 in b 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 0.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 0.335 * [taylor]: Taking taylor expansion of 0 in b 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.335 * [taylor]: Taking taylor expansion of 0 in b 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [taylor]: Taking taylor expansion of 0 in d 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [taylor]: Taking taylor expansion of 0 in d 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [taylor]: Taking taylor expansion of 0 in d 0.335 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) 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 * [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 0 into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.337 * [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)) 0.337 * [backup-simplify]: Simplify (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) into (+ (/ 1 (* b d)) (/ 1 (* a c))) 0.337 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0 0.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 0.337 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 0.337 * [taylor]: Taking taylor expansion of (* b d) in d 0.337 * [taylor]: Taking taylor expansion of b in d 0.337 * [backup-simplify]: Simplify b into b 0.337 * [taylor]: Taking taylor expansion of d in d 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (* b 0) into 0 0.337 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 0.337 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.338 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 0.338 * [taylor]: Taking taylor expansion of (* a c) in d 0.338 * [taylor]: Taking taylor expansion of a in d 0.338 * [backup-simplify]: Simplify a into a 0.338 * [taylor]: Taking taylor expansion of c in d 0.338 * [backup-simplify]: Simplify c into c 0.338 * [backup-simplify]: Simplify (* a c) into (* a c) 0.338 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 0.338 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 0.338 * [taylor]: Taking taylor expansion of (* b d) in b 0.338 * [taylor]: Taking taylor expansion of b in b 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [taylor]: Taking taylor expansion of d in b 0.338 * [backup-simplify]: Simplify d into d 0.338 * [backup-simplify]: Simplify (* 0 d) into 0 0.338 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 0.338 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.338 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 0.338 * [taylor]: Taking taylor expansion of (* a c) in b 0.338 * [taylor]: Taking taylor expansion of a in b 0.338 * [backup-simplify]: Simplify a into a 0.338 * [taylor]: Taking taylor expansion of c in b 0.338 * [backup-simplify]: Simplify c into c 0.338 * [backup-simplify]: Simplify (* a c) into (* a c) 0.338 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 0.338 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 0.338 * [taylor]: Taking taylor expansion of (* b d) in c 0.338 * [taylor]: Taking taylor expansion of b in c 0.338 * [backup-simplify]: Simplify b into b 0.338 * [taylor]: Taking taylor expansion of d in c 0.338 * [backup-simplify]: Simplify d into d 0.338 * [backup-simplify]: Simplify (* b d) into (* b d) 0.338 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.339 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 0.339 * [taylor]: Taking taylor expansion of (* a c) in c 0.339 * [taylor]: Taking taylor expansion of a in c 0.339 * [backup-simplify]: Simplify a into a 0.339 * [taylor]: Taking taylor expansion of c in c 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (* a 0) into 0 0.339 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 0.339 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 0.339 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 0.339 * [taylor]: Taking taylor expansion of (* b d) in a 0.339 * [taylor]: Taking taylor expansion of b in a 0.339 * [backup-simplify]: Simplify b into b 0.339 * [taylor]: Taking taylor expansion of d in a 0.339 * [backup-simplify]: Simplify d into d 0.339 * [backup-simplify]: Simplify (* b d) into (* b d) 0.339 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.339 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 0.339 * [taylor]: Taking taylor expansion of (* a c) in a 0.339 * [taylor]: Taking taylor expansion of a in a 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [taylor]: Taking taylor expansion of c in a 0.339 * [backup-simplify]: Simplify c into c 0.339 * [backup-simplify]: Simplify (* 0 c) into 0 0.340 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 0.340 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 0.340 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 0.340 * [taylor]: Taking taylor expansion of (* b d) in a 0.340 * [taylor]: Taking taylor expansion of b in a 0.340 * [backup-simplify]: Simplify b into b 0.340 * [taylor]: Taking taylor expansion of d in a 0.340 * [backup-simplify]: Simplify d into d 0.340 * [backup-simplify]: Simplify (* b d) into (* b d) 0.340 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.340 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 0.340 * [taylor]: Taking taylor expansion of (* a c) in a 0.340 * [taylor]: Taking taylor expansion of a in a 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [taylor]: Taking taylor expansion of c in a 0.340 * [backup-simplify]: Simplify c into c 0.340 * [backup-simplify]: Simplify (* 0 c) into 0 0.340 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 0.340 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 0.340 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 0.340 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.340 * [taylor]: Taking taylor expansion of c in c 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (/ 1 1) into 1 0.341 * [taylor]: Taking taylor expansion of 1 in b 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 0.341 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 0.341 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 0.341 * [taylor]: Taking taylor expansion of (* b d) in c 0.341 * [taylor]: Taking taylor expansion of b in c 0.341 * [backup-simplify]: Simplify b into b 0.341 * [taylor]: Taking taylor expansion of d in c 0.341 * [backup-simplify]: Simplify d into d 0.341 * [backup-simplify]: Simplify (* b d) into (* b d) 0.341 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.342 * [taylor]: Taking taylor expansion of 0 in b 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [taylor]: Taking taylor expansion of 1 in d 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 0.343 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [taylor]: Taking taylor expansion of 0 in c 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 0.343 * [taylor]: Taking taylor expansion of (* b d) in b 0.343 * [taylor]: Taking taylor expansion of b in b 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [taylor]: Taking taylor expansion of d in b 0.343 * [backup-simplify]: Simplify d into d 0.343 * [backup-simplify]: Simplify (* 0 d) into 0 0.344 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 0.344 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 0.344 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.344 * [taylor]: Taking taylor expansion of d in d 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (/ 1 1) into 1 0.344 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.345 * [taylor]: Taking taylor expansion of 0 in b 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [taylor]: Taking taylor expansion of 0 in d 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [taylor]: Taking taylor expansion of 0 in d 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 0.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 0.346 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.346 * [backup-simplify]: Simplify (+ 0 0) into 0 0.347 * [taylor]: Taking taylor expansion of 0 in c 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [taylor]: Taking taylor expansion of 0 in b 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 0.347 * [taylor]: Taking taylor expansion of 0 in b 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 0.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) 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 0.348 * [taylor]: Taking taylor expansion of 0 in d 0.348 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 0.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 0.351 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0 0.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [taylor]: Taking taylor expansion of 0 in c 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [taylor]: Taking taylor expansion of 0 in b 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [taylor]: Taking taylor expansion of 0 in b 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 0.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 0.352 * [taylor]: Taking taylor expansion of 0 in b 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.352 * [taylor]: Taking taylor expansion of 0 in b 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [taylor]: Taking taylor expansion of 0 in d 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [taylor]: Taking taylor expansion of 0 in d 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [taylor]: Taking taylor expansion of 0 in d 0.352 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 0.353 * [taylor]: Taking taylor expansion of 0 in d 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [taylor]: Taking taylor expansion of 0 in d 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [taylor]: Taking taylor expansion of 0 in d 0.353 * [backup-simplify]: Simplify 0 into 0 0.354 * [taylor]: Taking taylor expansion of 0 in d 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [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)) 0.354 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.354 * [backup-simplify]: Simplify (+ (* c c) (* d d)) into (+ (pow c 2) (pow d 2)) 0.354 * [approximate]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in (c d) around 0 0.354 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 0.354 * [taylor]: Taking taylor expansion of (pow c 2) in d 0.354 * [taylor]: Taking taylor expansion of c in d 0.354 * [backup-simplify]: Simplify c into c 0.354 * [taylor]: Taking taylor expansion of (pow d 2) in d 0.354 * [taylor]: Taking taylor expansion of d in d 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 0.354 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.354 * [taylor]: Taking taylor expansion of c in c 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.355 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.355 * [taylor]: Taking taylor expansion of d in c 0.355 * [backup-simplify]: Simplify d into d 0.355 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 0.355 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.355 * [taylor]: Taking taylor expansion of c in c 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.355 * [taylor]: Taking taylor expansion of d in c 0.355 * [backup-simplify]: Simplify d into d 0.355 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.355 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 0.355 * [taylor]: Taking taylor expansion of (pow d 2) in d 0.355 * [taylor]: Taking taylor expansion of d in d 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 0.355 * [backup-simplify]: Simplify (+ 0 0) into 0 0.355 * [taylor]: Taking taylor expansion of 0 in d 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify (* 1 1) into 1 0.356 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 0.356 * [backup-simplify]: Simplify (+ 1 0) into 1 0.356 * [taylor]: Taking taylor expansion of 1 in d 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify (* 1 1) into 1 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.358 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 0.358 * [backup-simplify]: Simplify (+ 0 0) into 0 0.358 * [taylor]: Taking taylor expansion of 0 in d 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.360 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 d))))) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.360 * [taylor]: Taking taylor expansion of 0 in d 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [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) 0.361 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 0.361 * [taylor]: Taking taylor expansion of (pow d 2) in d 0.361 * [taylor]: Taking taylor expansion of d in d 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (* 1 1) into 1 0.361 * [backup-simplify]: Simplify (/ 1 1) into 1 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 0.361 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.361 * [taylor]: Taking taylor expansion of c in c 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (* 1 1) into 1 0.362 * [backup-simplify]: Simplify (/ 1 1) into 1 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 0.362 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.362 * [taylor]: Taking taylor expansion of d in c 0.362 * [backup-simplify]: Simplify d into d 0.362 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.362 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 0.362 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.362 * [taylor]: Taking taylor expansion of c in c 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [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 d 2)) in c 0.363 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.363 * [taylor]: Taking taylor expansion of d in c 0.363 * [backup-simplify]: Simplify d into d 0.363 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.363 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.363 * [backup-simplify]: Simplify (+ 1 0) into 1 0.363 * [taylor]: Taking taylor expansion of 1 in d 0.363 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.365 * [taylor]: Taking taylor expansion of 0 in d 0.365 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 0.367 * [taylor]: Taking taylor expansion of (pow d 2) in d 0.367 * [taylor]: Taking taylor expansion of d in d 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify (* 1 1) into 1 0.368 * [backup-simplify]: Simplify (/ 1 1) into 1 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 0.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [taylor]: Taking taylor expansion of 0 in d 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.373 * [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 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 c))) 2)) (* 1 (pow (* (/ 1 (/ 1 d)) 1) 2))) into (+ (pow c 2) (pow d 2)) 0.378 * [backup-simplify]: Simplify (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 0.378 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in (c d) around 0 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 0.378 * [taylor]: Taking taylor expansion of (pow c 2) in d 0.378 * [taylor]: Taking taylor expansion of c in d 0.378 * [backup-simplify]: Simplify c into c 0.378 * [backup-simplify]: Simplify (* c c) into (pow c 2) 0.378 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 0.378 * [taylor]: Taking taylor expansion of (pow d 2) in d 0.378 * [taylor]: Taking taylor expansion of d in d 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 c 2)) (/ 1 (pow d 2))) in c 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 0.379 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.379 * [taylor]: Taking taylor expansion of c in c 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify (* 1 1) into 1 0.380 * [backup-simplify]: Simplify (/ 1 1) into 1 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 0.380 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.380 * [taylor]: Taking taylor expansion of d in c 0.380 * [backup-simplify]: Simplify d into d 0.380 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.380 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 0.380 * [taylor]: Taking taylor expansion of (pow c 2) in c 0.380 * [taylor]: Taking taylor expansion of c in c 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (* 1 1) into 1 0.381 * [backup-simplify]: Simplify (/ 1 1) into 1 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 0.381 * [taylor]: Taking taylor expansion of (pow d 2) in c 0.381 * [taylor]: Taking taylor expansion of d in c 0.381 * [backup-simplify]: Simplify d into d 0.381 * [backup-simplify]: Simplify (* d d) into (pow d 2) 0.381 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 0.382 * [backup-simplify]: Simplify (+ 1 0) into 1 0.382 * [taylor]: Taking taylor expansion of 1 in d 0.382 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 0.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 0.386 * [taylor]: Taking taylor expansion of (pow d 2) in d 0.386 * [taylor]: Taking taylor expansion of d in d 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (* 1 1) into 1 0.387 * [backup-simplify]: Simplify (/ 1 1) into 1 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 0.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 0.389 * [backup-simplify]: Simplify (+ 0 0) into 0 0.389 * [taylor]: Taking taylor expansion of 0 in d 0.389 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 0.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 0.393 * [backup-simplify]: Simplify (+ 0 0) into 0 0.393 * [taylor]: Taking taylor expansion of 0 in d 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- c)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- d))) 1) 2))) into (+ (pow c 2) (pow d 2)) 0.394 * * * [progress]: simplifying candidates 0.394 * * * * [progress]: [ 1 / 65 ] simplifiying candidate # 0.394 * * * * [progress]: [ 2 / 65 ] simplifiying candidate # 0.394 * [simplify]: Simplifying (- (log (+ (* a c) (* b d))) (log (+ (* c c) (* d d)))) 0.394 * * [simplify]: iters left: 6 (13 enodes) 0.397 * * [simplify]: iters left: 5 (45 enodes) 0.403 * * [simplify]: iters left: 4 (48 enodes) 0.412 * * [simplify]: Extracting #0: cost 1 inf + 0 0.412 * * [simplify]: Extracting #1: cost 5 inf + 0 0.412 * * [simplify]: Extracting #2: cost 10 inf + 0 0.412 * * [simplify]: Extracting #3: cost 16 inf + 0 0.412 * * [simplify]: Extracting #4: cost 24 inf + 0 0.412 * * [simplify]: Extracting #5: cost 18 inf + 87 0.412 * * [simplify]: Extracting #6: cost 11 inf + 613 0.412 * * [simplify]: Extracting #7: cost 4 inf + 1942 0.413 * * [simplify]: Extracting #8: cost 0 inf + 2912 0.413 * [simplify]: Simplified to (- (log (+ (* b d) (* a c))) (log (+ (* c c) (* d d)))) 0.414 * [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) 0.418 * * [simplify]: iters left: 5 (82 enodes) 0.440 * * [simplify]: iters left: 4 (310 enodes) 0.598 * * [simplify]: Extracting #0: cost 1 inf + 0 0.598 * * [simplify]: Extracting #1: cost 30 inf + 0 0.598 * * [simplify]: Extracting #2: cost 102 inf + 1 0.599 * * [simplify]: Extracting #3: cost 273 inf + 1 0.602 * * [simplify]: Extracting #4: cost 211 inf + 14207 0.613 * * [simplify]: Extracting #5: cost 31 inf + 51597 0.640 * * [simplify]: Extracting #6: cost 0 inf + 58414 0.669 * * [simplify]: Extracting #7: cost 0 inf + 58334 0.698 * [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)))) 0.698 * [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)))))) 0.698 * * * * [progress]: [ 6 / 65 ] simplifiying candidate # 0.698 * * * * [progress]: [ 7 / 65 ] simplifiying candidate # 0.698 * * * * [progress]: [ 8 / 65 ] simplifiying candidate # 0.698 * * * * [progress]: [ 9 / 65 ] simplifiying candidate # 0.698 * * * * [progress]: [ 10 / 65 ] simplifiying candidate # 0.699 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 0.699 * * [simplify]: iters left: 6 (15 enodes) 0.706 * * [simplify]: iters left: 5 (55 enodes) 0.716 * * [simplify]: iters left: 4 (70 enodes) 0.728 * * [simplify]: iters left: 3 (77 enodes) 0.738 * * [simplify]: iters left: 2 (80 enodes) 0.755 * * [simplify]: Extracting #0: cost 1 inf + 0 0.755 * * [simplify]: Extracting #1: cost 11 inf + 0 0.755 * * [simplify]: Extracting #2: cost 22 inf + 0 0.755 * * [simplify]: Extracting #3: cost 28 inf + 0 0.755 * * [simplify]: Extracting #4: cost 36 inf + 0 0.755 * * [simplify]: Extracting #5: cost 28 inf + 170 0.755 * * [simplify]: Extracting #6: cost 13 inf + 2650 0.757 * * [simplify]: Extracting #7: cost 2 inf + 7452 0.758 * * [simplify]: Extracting #8: cost 0 inf + 8260 0.760 * [simplify]: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c))))) 0.760 * [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)))))) 0.760 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d)))) 0.760 * * [simplify]: iters left: 6 (13 enodes) 0.763 * * [simplify]: iters left: 5 (43 enodes) 0.768 * * [simplify]: Extracting #0: cost 1 inf + 0 0.769 * * [simplify]: Extracting #1: cost 4 inf + 0 0.769 * * [simplify]: Extracting #2: cost 8 inf + 0 0.769 * * [simplify]: Extracting #3: cost 14 inf + 0 0.769 * * [simplify]: Extracting #4: cost 22 inf + 0 0.769 * * [simplify]: Extracting #5: cost 17 inf + 45 0.769 * * [simplify]: Extracting #6: cost 10 inf + 577 0.769 * * [simplify]: Extracting #7: cost 4 inf + 1312 0.769 * * [simplify]: Extracting #8: cost 1 inf + 2084 0.770 * * [simplify]: Extracting #9: cost 0 inf + 2528 0.770 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d)))) 0.770 * [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)))))) 0.770 * * * * [progress]: [ 11 / 65 ] simplifiying candidate # 0.771 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))) 0.771 * * [simplify]: iters left: 6 (14 enodes) 0.774 * * [simplify]: iters left: 5 (48 enodes) 0.781 * * [simplify]: iters left: 4 (52 enodes) 0.789 * * [simplify]: iters left: 3 (55 enodes) 0.803 * * [simplify]: Extracting #0: cost 1 inf + 0 0.804 * * [simplify]: Extracting #1: cost 7 inf + 0 0.804 * * [simplify]: Extracting #2: cost 14 inf + 0 0.804 * * [simplify]: Extracting #3: cost 20 inf + 0 0.804 * * [simplify]: Extracting #4: cost 28 inf + 0 0.804 * * [simplify]: Extracting #5: cost 21 inf + 129 0.805 * * [simplify]: Extracting #6: cost 7 inf + 2086 0.806 * * [simplify]: Extracting #7: cost 0 inf + 4552 0.808 * [simplify]: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) 0.808 * [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)))))) 0.808 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) 0.809 * * [simplify]: iters left: 6 (13 enodes) 0.814 * * [simplify]: iters left: 5 (43 enodes) 0.821 * * [simplify]: Extracting #0: cost 1 inf + 0 0.821 * * [simplify]: Extracting #1: cost 4 inf + 0 0.821 * * [simplify]: Extracting #2: cost 8 inf + 0 0.821 * * [simplify]: Extracting #3: cost 14 inf + 0 0.821 * * [simplify]: Extracting #4: cost 22 inf + 0 0.821 * * [simplify]: Extracting #5: cost 17 inf + 45 0.821 * * [simplify]: Extracting #6: cost 10 inf + 537 0.821 * * [simplify]: Extracting #7: cost 4 inf + 1232 0.822 * * [simplify]: Extracting #8: cost 1 inf + 1964 0.822 * * [simplify]: Extracting #9: cost 0 inf + 2368 0.823 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) 0.823 * [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)))))) 0.823 * * * * [progress]: [ 12 / 65 ] simplifiying candidate # 0.823 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) 0.823 * * [simplify]: iters left: 6 (11 enodes) 0.826 * * [simplify]: iters left: 5 (38 enodes) 0.832 * * [simplify]: iters left: 4 (48 enodes) 0.839 * * [simplify]: iters left: 3 (49 enodes) 0.846 * * [simplify]: Extracting #0: cost 1 inf + 0 0.846 * * [simplify]: Extracting #1: cost 5 inf + 0 0.846 * * [simplify]: Extracting #2: cost 7 inf + 1 0.846 * * [simplify]: Extracting #3: cost 10 inf + 1 0.846 * * [simplify]: Extracting #4: cost 16 inf + 1 0.846 * * [simplify]: Extracting #5: cost 11 inf + 47 0.847 * * [simplify]: Extracting #6: cost 5 inf + 828 0.847 * * [simplify]: Extracting #7: cost 0 inf + 1807 0.848 * [simplify]: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 0.848 * [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))))) 0.848 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d))) 0.848 * * [simplify]: iters left: 6 (12 enodes) 0.854 * * [simplify]: iters left: 5 (40 enodes) 0.865 * * [simplify]: Extracting #0: cost 1 inf + 0 0.865 * * [simplify]: Extracting #1: cost 4 inf + 0 0.865 * * [simplify]: Extracting #2: cost 9 inf + 0 0.865 * * [simplify]: Extracting #3: cost 16 inf + 0 0.865 * * [simplify]: Extracting #4: cost 16 inf + 84 0.865 * * [simplify]: Extracting #5: cost 7 inf + 538 0.866 * * [simplify]: Extracting #6: cost 0 inf + 1964 0.867 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (+ (* c c) (* d d))) 0.867 * [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))))) 0.867 * * * * [progress]: [ 13 / 65 ] simplifiying candidate # 0.867 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 0.867 * * [simplify]: iters left: 6 (14 enodes) 0.874 * * [simplify]: iters left: 5 (48 enodes) 0.885 * * [simplify]: iters left: 4 (50 enodes) 0.891 * * [simplify]: Extracting #0: cost 1 inf + 0 0.891 * * [simplify]: Extracting #1: cost 6 inf + 0 0.892 * * [simplify]: Extracting #2: cost 12 inf + 0 0.892 * * [simplify]: Extracting #3: cost 18 inf + 0 0.892 * * [simplify]: Extracting #4: cost 26 inf + 0 0.892 * * [simplify]: Extracting #5: cost 19 inf + 129 0.892 * * [simplify]: Extracting #6: cost 11 inf + 871 0.892 * * [simplify]: Extracting #7: cost 4 inf + 2246 0.893 * * [simplify]: Extracting #8: cost 0 inf + 3740 0.893 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 0.894 * [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)))))) 0.894 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d)))) 0.894 * * [simplify]: iters left: 6 (13 enodes) 0.897 * * [simplify]: iters left: 5 (43 enodes) 0.902 * * [simplify]: Extracting #0: cost 1 inf + 0 0.902 * * [simplify]: Extracting #1: cost 4 inf + 0 0.902 * * [simplify]: Extracting #2: cost 8 inf + 0 0.902 * * [simplify]: Extracting #3: cost 14 inf + 0 0.902 * * [simplify]: Extracting #4: cost 22 inf + 0 0.902 * * [simplify]: Extracting #5: cost 17 inf + 45 0.902 * * [simplify]: Extracting #6: cost 10 inf + 577 0.903 * * [simplify]: Extracting #7: cost 4 inf + 1272 0.903 * * [simplify]: Extracting #8: cost 1 inf + 1964 0.903 * * [simplify]: Extracting #9: cost 0 inf + 2368 0.904 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d)))) 0.904 * [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)))))) 0.904 * * * * [progress]: [ 14 / 65 ] simplifiying candidate # 0.904 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) 0.904 * * [simplify]: iters left: 6 (13 enodes) 0.907 * * [simplify]: iters left: 5 (43 enodes) 0.913 * * [simplify]: Extracting #0: cost 1 inf + 0 0.913 * * [simplify]: Extracting #1: cost 4 inf + 0 0.913 * * [simplify]: Extracting #2: cost 8 inf + 0 0.913 * * [simplify]: Extracting #3: cost 14 inf + 0 0.913 * * [simplify]: Extracting #4: cost 22 inf + 0 0.913 * * [simplify]: Extracting #5: cost 17 inf + 45 0.915 * * [simplify]: Extracting #6: cost 10 inf + 537 0.915 * * [simplify]: Extracting #7: cost 4 inf + 1192 0.916 * * [simplify]: Extracting #8: cost 1 inf + 1844 0.917 * * [simplify]: Extracting #9: cost 0 inf + 2208 0.917 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) 0.917 * [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)))))) 0.918 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) 0.918 * * [simplify]: iters left: 6 (13 enodes) 0.924 * * [simplify]: iters left: 5 (43 enodes) 0.935 * * [simplify]: Extracting #0: cost 1 inf + 0 0.935 * * [simplify]: Extracting #1: cost 4 inf + 0 0.935 * * [simplify]: Extracting #2: cost 8 inf + 0 0.935 * * [simplify]: Extracting #3: cost 14 inf + 0 0.935 * * [simplify]: Extracting #4: cost 22 inf + 0 0.936 * * [simplify]: Extracting #5: cost 17 inf + 45 0.936 * * [simplify]: Extracting #6: cost 10 inf + 537 0.936 * * [simplify]: Extracting #7: cost 4 inf + 1192 0.937 * * [simplify]: Extracting #8: cost 1 inf + 1844 0.938 * * [simplify]: Extracting #9: cost 0 inf + 2208 0.939 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) 0.939 * [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)))))) 0.939 * * * * [progress]: [ 15 / 65 ] simplifiying candidate # 0.939 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) 1) 0.939 * * [simplify]: iters left: 6 (10 enodes) 0.944 * * [simplify]: iters left: 5 (33 enodes) 0.953 * * [simplify]: iters left: 4 (35 enodes) 0.963 * * [simplify]: Extracting #0: cost 1 inf + 0 0.963 * * [simplify]: Extracting #1: cost 4 inf + 0 0.963 * * [simplify]: Extracting #2: cost 6 inf + 1 0.963 * * [simplify]: Extracting #3: cost 12 inf + 1 0.963 * * [simplify]: Extracting #4: cost 7 inf + 47 0.963 * * [simplify]: Extracting #5: cost 0 inf + 749 0.964 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c))) 0.964 * [simplify]: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d))))) 0.964 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d))) 0.964 * * [simplify]: iters left: 6 (12 enodes) 0.969 * * [simplify]: iters left: 5 (40 enodes) 0.979 * * [simplify]: Extracting #0: cost 1 inf + 0 0.980 * * [simplify]: Extracting #1: cost 4 inf + 0 0.980 * * [simplify]: Extracting #2: cost 9 inf + 0 0.980 * * [simplify]: Extracting #3: cost 16 inf + 0 0.980 * * [simplify]: Extracting #4: cost 16 inf + 84 0.980 * * [simplify]: Extracting #5: cost 7 inf + 538 0.981 * * [simplify]: Extracting #6: cost 0 inf + 1804 0.981 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (+ (* c c) (* d d))) 0.981 * [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))))) 0.981 * * * * [progress]: [ 16 / 65 ] simplifiying candidate # 0.982 * [simplify]: Simplifying (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 0.982 * * [simplify]: iters left: 6 (9 enodes) 0.986 * * [simplify]: iters left: 5 (32 enodes) 0.996 * * [simplify]: iters left: 4 (36 enodes) 1.001 * * [simplify]: Extracting #0: cost 1 inf + 0 1.001 * * [simplify]: Extracting #1: cost 6 inf + 0 1.001 * * [simplify]: Extracting #2: cost 9 inf + 1 1.001 * * [simplify]: Extracting #3: cost 12 inf + 1 1.001 * * [simplify]: Extracting #4: cost 16 inf + 1 1.001 * * [simplify]: Extracting #5: cost 14 inf + 3 1.001 * * [simplify]: Extracting #6: cost 10 inf + 248 1.002 * * [simplify]: Extracting #7: cost 3 inf + 1543 1.002 * * [simplify]: Extracting #8: cost 0 inf + 2351 1.002 * [simplify]: Simplified to (/ (/ 1 (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* c c) (* d d)))) 1.002 * [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)))))) 1.003 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (cbrt (+ (* c c) (* d d)))) 1.003 * * [simplify]: iters left: 6 (12 enodes) 1.005 * * [simplify]: iters left: 5 (40 enodes) 1.011 * * [simplify]: Extracting #0: cost 1 inf + 0 1.011 * * [simplify]: Extracting #1: cost 4 inf + 0 1.011 * * [simplify]: Extracting #2: cost 9 inf + 0 1.011 * * [simplify]: Extracting #3: cost 18 inf + 0 1.011 * * [simplify]: Extracting #4: cost 11 inf + 372 1.012 * * [simplify]: Extracting #5: cost 1 inf + 1596 1.012 * * [simplify]: Extracting #6: cost 0 inf + 1960 1.012 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (cbrt (+ (* c c) (* d d)))) 1.012 * [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)))))) 1.012 * * * * [progress]: [ 17 / 65 ] simplifiying candidate # 1.013 * [simplify]: Simplifying (/ 1 (sqrt (+ (* c c) (* d d)))) 1.013 * * [simplify]: iters left: 6 (8 enodes) 1.015 * * [simplify]: iters left: 5 (27 enodes) 1.019 * * [simplify]: iters left: 4 (29 enodes) 1.023 * * [simplify]: Extracting #0: cost 1 inf + 0 1.023 * * [simplify]: Extracting #1: cost 4 inf + 0 1.023 * * [simplify]: Extracting #2: cost 5 inf + 1 1.024 * * [simplify]: Extracting #3: cost 8 inf + 1 1.024 * * [simplify]: Extracting #4: cost 12 inf + 1 1.024 * * [simplify]: Extracting #5: cost 10 inf + 3 1.024 * * [simplify]: Extracting #6: cost 5 inf + 289 1.024 * * [simplify]: Extracting #7: cost 1 inf + 938 1.024 * * [simplify]: Extracting #8: cost 0 inf + 1141 1.024 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) 1.024 * [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)))))) 1.025 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) 1.025 * * [simplify]: iters left: 6 (12 enodes) 1.027 * * [simplify]: iters left: 5 (40 enodes) 1.037 * * [simplify]: Extracting #0: cost 1 inf + 0 1.037 * * [simplify]: Extracting #1: cost 4 inf + 0 1.037 * * [simplify]: Extracting #2: cost 9 inf + 0 1.037 * * [simplify]: Extracting #3: cost 18 inf + 0 1.037 * * [simplify]: Extracting #4: cost 11 inf + 372 1.038 * * [simplify]: Extracting #5: cost 1 inf + 1476 1.038 * * [simplify]: Extracting #6: cost 0 inf + 1800 1.039 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) 1.039 * [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)))))) 1.039 * * * * [progress]: [ 18 / 65 ] simplifiying candidate # 1.040 * [simplify]: Simplifying (/ 1 1) 1.040 * * [simplify]: iters left: 2 (2 enodes) 1.041 * * [simplify]: iters left: 1 (6 enodes) 1.043 * * [simplify]: Extracting #0: cost 1 inf + 0 1.043 * * [simplify]: Extracting #1: cost 0 inf + 1 1.043 * [simplify]: Simplified to 1 1.044 * [simplify]: Simplified (2 1) to (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))) 1.044 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) 1.044 * * [simplify]: iters left: 6 (11 enodes) 1.049 * * [simplify]: iters left: 5 (37 enodes) 1.057 * * [simplify]: Extracting #0: cost 1 inf + 0 1.057 * * [simplify]: Extracting #1: cost 4 inf + 0 1.057 * * [simplify]: Extracting #2: cost 10 inf + 0 1.057 * * [simplify]: Extracting #3: cost 18 inf + 0 1.057 * * [simplify]: Extracting #4: cost 9 inf + 291 1.057 * * [simplify]: Extracting #5: cost 1 inf + 1272 1.057 * * [simplify]: Extracting #6: cost 0 inf + 1396 1.058 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) 1.058 * [simplify]: Simplified (2 2) to (λ (a b c d) (* 1 (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))) 1.058 * * * * [progress]: [ 19 / 65 ] simplifiying candidate # 1.058 * * * * [progress]: [ 20 / 65 ] simplifiying candidate # 1.058 * * * * [progress]: [ 21 / 65 ] simplifiying candidate # 1.058 * * * * [progress]: [ 22 / 65 ] simplifiying candidate # 1.058 * [simplify]: Simplifying (cbrt (+ (* c c) (* d d))) 1.058 * * [simplify]: iters left: 5 (6 enodes) 1.059 * * [simplify]: iters left: 4 (19 enodes) 1.062 * * [simplify]: Extracting #0: cost 1 inf + 0 1.062 * * [simplify]: Extracting #1: cost 3 inf + 0 1.062 * * [simplify]: Extracting #2: cost 6 inf + 0 1.062 * * [simplify]: Extracting #3: cost 10 inf + 0 1.062 * * [simplify]: Extracting #4: cost 6 inf + 84 1.062 * * [simplify]: Extracting #5: cost 0 inf + 814 1.062 * [simplify]: Simplified to (cbrt (+ (* c c) (* d d))) 1.062 * [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))))) 1.062 * * * * [progress]: [ 23 / 65 ] simplifiying candidate # 1.063 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d))) 1.063 * * [simplify]: iters left: 5 (6 enodes) 1.064 * * [simplify]: iters left: 4 (19 enodes) 1.067 * * [simplify]: Extracting #0: cost 1 inf + 0 1.067 * * [simplify]: Extracting #1: cost 3 inf + 0 1.067 * * [simplify]: Extracting #2: cost 6 inf + 0 1.067 * * [simplify]: Extracting #3: cost 10 inf + 0 1.067 * * [simplify]: Extracting #4: cost 6 inf + 84 1.067 * * [simplify]: Extracting #5: cost 0 inf + 734 1.067 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d))) 1.067 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) 1.067 * * * * [progress]: [ 24 / 65 ] simplifiying candidate # 1.067 * [simplify]: Simplifying (+ (* c c) (* d d)) 1.067 * * [simplify]: iters left: 4 (5 enodes) 1.069 * * [simplify]: iters left: 3 (16 enodes) 1.071 * * [simplify]: Extracting #0: cost 1 inf + 0 1.071 * * [simplify]: Extracting #1: cost 4 inf + 0 1.071 * * [simplify]: Extracting #2: cost 8 inf + 0 1.071 * * [simplify]: Extracting #3: cost 4 inf + 84 1.071 * * [simplify]: Extracting #4: cost 0 inf + 410 1.071 * [simplify]: Simplified to (+ (* c c) (* d d)) 1.071 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) 1) (+ (* c c) (* d d)))) 1.071 * * * * [progress]: [ 25 / 65 ] simplifiying candidate # 1.071 * [simplify]: Simplifying (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1.071 * * [simplify]: iters left: 6 (9 enodes) 1.073 * * [simplify]: iters left: 5 (30 enodes) 1.077 * * [simplify]: Extracting #0: cost 1 inf + 0 1.077 * * [simplify]: Extracting #1: cost 3 inf + 0 1.077 * * [simplify]: Extracting #2: cost 5 inf + 0 1.077 * * [simplify]: Extracting #3: cost 8 inf + 0 1.077 * * [simplify]: Extracting #4: cost 14 inf + 0 1.077 * * [simplify]: Extracting #5: cost 9 inf + 46 1.078 * * [simplify]: Extracting #6: cost 4 inf + 500 1.078 * * [simplify]: Extracting #7: cost 1 inf + 1072 1.078 * * [simplify]: Extracting #8: cost 0 inf + 1316 1.078 * [simplify]: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1.078 * [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)))))) 1.078 * * * * [progress]: [ 26 / 65 ] simplifiying candidate # 1.079 * [simplify]: Simplifying (sqrt (+ (* a c) (* b d))) 1.079 * * [simplify]: iters left: 5 (8 enodes) 1.080 * * [simplify]: iters left: 4 (27 enodes) 1.085 * * [simplify]: Extracting #0: cost 1 inf + 0 1.085 * * [simplify]: Extracting #1: cost 3 inf + 0 1.085 * * [simplify]: Extracting #2: cost 6 inf + 0 1.085 * * [simplify]: Extracting #3: cost 12 inf + 0 1.085 * * [simplify]: Extracting #4: cost 8 inf + 4 1.085 * * [simplify]: Extracting #5: cost 1 inf + 584 1.086 * * [simplify]: Extracting #6: cost 0 inf + 748 1.086 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c))) 1.086 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ (sqrt (+ (* b d) (* a c))) (/ (+ (* c c) (* d d)) (sqrt (+ (* a c) (* b d)))))) 1.086 * * * * [progress]: [ 27 / 65 ] simplifiying candidate # 1.086 * * * * [progress]: [ 28 / 65 ] simplifiying candidate # 1.087 * [simplify]: Simplifying (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))) 1.087 * * [simplify]: iters left: 6 (9 enodes) 1.092 * * [simplify]: iters left: 5 (49 enodes) 1.111 * * [simplify]: iters left: 4 (116 enodes) 1.139 * * [simplify]: iters left: 3 (231 enodes) 1.227 * * [simplify]: iters left: 2 (363 enodes) 1.355 * * [simplify]: Extracting #0: cost 1 inf + 0 1.355 * * [simplify]: Extracting #1: cost 20 inf + 0 1.355 * * [simplify]: Extracting #2: cost 146 inf + 0 1.356 * * [simplify]: Extracting #3: cost 200 inf + 1989 1.361 * * [simplify]: Extracting #4: cost 63 inf + 22827 1.368 * * [simplify]: Extracting #5: cost 0 inf + 34174 1.375 * * [simplify]: Extracting #6: cost 0 inf + 34134 1.382 * [simplify]: Simplified to (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d))) 1.382 * [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))))) 1.382 * * * * [progress]: [ 29 / 65 ] simplifiying candidate # 1.382 * [simplify]: Simplifying (- (* c c) (* d d)) 1.383 * * [simplify]: iters left: 4 (5 enodes) 1.385 * * [simplify]: iters left: 3 (20 enodes) 1.391 * * [simplify]: iters left: 2 (33 enodes) 1.401 * * [simplify]: iters left: 1 (50 enodes) 1.417 * * [simplify]: Extracting #0: cost 1 inf + 0 1.417 * * [simplify]: Extracting #1: cost 11 inf + 0 1.417 * * [simplify]: Extracting #2: cost 29 inf + 0 1.418 * * [simplify]: Extracting #3: cost 19 inf + 455 1.419 * * [simplify]: Extracting #4: cost 0 inf + 2130 1.420 * * [simplify]: Extracting #5: cost 0 inf + 1970 1.421 * [simplify]: Simplified to (* (+ c d) (- c d)) 1.421 * [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)))) 1.421 * * * * [progress]: [ 30 / 65 ] simplifiying candidate # 1.422 * [simplify]: Simplifying (+ (pow (* a c) 3) (pow (* b d) 3)) 1.422 * * [simplify]: iters left: 5 (10 enodes) 1.431 * * [simplify]: iters left: 4 (52 enodes) 1.454 * * [simplify]: iters left: 3 (145 enodes) 1.521 * * [simplify]: iters left: 2 (335 enodes) 1.637 * * [simplify]: Extracting #0: cost 1 inf + 0 1.637 * * [simplify]: Extracting #1: cost 4 inf + 0 1.637 * * [simplify]: Extracting #2: cost 51 inf + 0 1.638 * * [simplify]: Extracting #3: cost 124 inf + 950 1.639 * * [simplify]: Extracting #4: cost 89 inf + 8397 1.645 * * [simplify]: Extracting #5: cost 14 inf + 28399 1.648 * * [simplify]: Extracting #6: cost 1 inf + 33494 1.652 * * [simplify]: Extracting #7: cost 0 inf + 33747 1.658 * [simplify]: Simplified to (+ (* (* (* b d) (* b d)) (* b d)) (* (* a c) (* (* a c) (* a c)))) 1.658 * [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))))))) 1.659 * * * * [progress]: [ 31 / 65 ] simplifiying candidate # 1.659 * [simplify]: Simplifying (- (* (* a c) (* a c)) (* (* b d) (* b d))) 1.659 * * [simplify]: iters left: 6 (9 enodes) 1.664 * * [simplify]: iters left: 5 (48 enodes) 1.683 * * [simplify]: iters left: 4 (111 enodes) 1.718 * * [simplify]: iters left: 3 (181 enodes) 1.760 * * [simplify]: iters left: 2 (262 enodes) 1.823 * * [simplify]: iters left: 1 (473 enodes) 1.967 * * [simplify]: Extracting #0: cost 1 inf + 0 1.967 * * [simplify]: Extracting #1: cost 22 inf + 0 1.967 * * [simplify]: Extracting #2: cost 110 inf + 0 1.970 * * [simplify]: Extracting #3: cost 142 inf + 1440 1.973 * * [simplify]: Extracting #4: cost 41 inf + 15973 1.986 * * [simplify]: Extracting #5: cost 0 inf + 23364 1.999 * * [simplify]: Extracting #6: cost 0 inf + 23124 2.013 * [simplify]: Simplified to (- (* (* a c) (* a c)) (* (* b d) (* b d))) 2.013 * [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))))) 2.013 * * * * [progress]: [ 32 / 65 ] simplifiying candidate #real (real->posit16 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))> 2.013 * * * * [progress]: [ 33 / 65 ] simplifiying candidate # 2.013 * [simplify]: Simplifying (* (exp (* a c)) (exp (* b d))) 2.014 * * [simplify]: iters left: 5 (9 enodes) 2.017 * * [simplify]: iters left: 4 (36 enodes) 2.027 * * [simplify]: iters left: 3 (55 enodes) 2.043 * * [simplify]: iters left: 2 (91 enodes) 2.074 * * [simplify]: iters left: 1 (191 enodes) 2.198 * * [simplify]: Extracting #0: cost 1 inf + 0 2.198 * * [simplify]: Extracting #1: cost 38 inf + 0 2.199 * * [simplify]: Extracting #2: cost 150 inf + 0 2.200 * * [simplify]: Extracting #3: cost 173 inf + 772 2.202 * * [simplify]: Extracting #4: cost 148 inf + 4628 2.206 * * [simplify]: Extracting #5: cost 93 inf + 18511 2.217 * * [simplify]: Extracting #6: cost 27 inf + 61555 2.238 * * [simplify]: Extracting #7: cost 0 inf + 82217 2.255 * [simplify]: Simplified to (exp (+ (* a c) (* b d))) 2.255 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (log (exp (+ (* a c) (* b d)))) (+ (* c c) (* d d)))) 2.255 * * * * [progress]: [ 34 / 65 ] simplifiying candidate # 2.255 * * * * [progress]: [ 35 / 65 ] simplifiying candidate # 2.255 * * * * [progress]: [ 36 / 65 ] simplifiying candidate # 2.255 * * * * [progress]: [ 37 / 65 ] simplifiying candidate # 2.255 * * * * [progress]: [ 38 / 65 ] simplifiying candidate # 2.255 * * * * [progress]: [ 39 / 65 ] simplifiying candidate # 2.255 * * * * [progress]: [ 40 / 65 ] simplifiying candidate # 2.255 * * * * [progress]: [ 41 / 65 ] simplifiying candidate # 2.255 * * * * [progress]: [ 42 / 65 ] simplifiying candidate # 2.255 * * * * [progress]: [ 43 / 65 ] simplifiying candidate #real (real->posit16 (+ (* a c) (* b d)))) (+ (* c c) (* d d))))> 2.255 * * * * [progress]: [ 44 / 65 ] simplifiying candidate # 2.255 * * * * [progress]: [ 45 / 65 ] simplifiying candidate # 2.255 * [simplify]: Simplifying (* (exp (* c c)) (exp (* d d))) 2.255 * * [simplify]: iters left: 5 (7 enodes) 2.257 * * [simplify]: iters left: 4 (28 enodes) 2.261 * * [simplify]: iters left: 3 (43 enodes) 2.269 * * [simplify]: iters left: 2 (75 enodes) 2.285 * * [simplify]: iters left: 1 (169 enodes) 2.371 * * [simplify]: Extracting #0: cost 1 inf + 0 2.371 * * [simplify]: Extracting #1: cost 28 inf + 0 2.371 * * [simplify]: Extracting #2: cost 119 inf + 0 2.372 * * [simplify]: Extracting #3: cost 136 inf + 1135 2.373 * * [simplify]: Extracting #4: cost 131 inf + 1568 2.374 * * [simplify]: Extracting #5: cost 99 inf + 8302 2.380 * * [simplify]: Extracting #6: cost 11 inf + 60490 2.394 * * [simplify]: Extracting #7: cost 0 inf + 69564 2.409 * [simplify]: Simplified to (exp (+ (* c c) (* d d))) 2.409 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (+ (* a c) (* b d)) (log (exp (+ (* c c) (* d d)))))) 2.409 * * * * [progress]: [ 46 / 65 ] simplifiying candidate # 2.409 * * * * [progress]: [ 47 / 65 ] simplifiying candidate # 2.409 * * * * [progress]: [ 48 / 65 ] simplifiying candidate # 2.409 * * * * [progress]: [ 49 / 65 ] simplifiying candidate # 2.409 * * * * [progress]: [ 50 / 65 ] simplifiying candidate # 2.409 * * * * [progress]: [ 51 / 65 ] simplifiying candidate # 2.409 * * * * [progress]: [ 52 / 65 ] simplifiying candidate # 2.409 * * * * [progress]: [ 53 / 65 ] simplifiying candidate # 2.409 * * * * [progress]: [ 54 / 65 ] simplifiying candidate # 2.410 * * * * [progress]: [ 55 / 65 ] simplifiying candidate #real (real->posit16 (+ (* c c) (* d d))))))> 2.410 * * * * [progress]: [ 56 / 65 ] simplifiying candidate # 2.410 * * * * [progress]: [ 57 / 65 ] simplifiying candidate # 2.410 * [simplify]: Simplifying 0 2.410 * * [simplify]: iters left: 0 (1 enodes) 2.411 * * [simplify]: Extracting #0: cost 1 inf + 0 2.411 * * [simplify]: Extracting #1: cost 0 inf + 1 2.411 * [simplify]: Simplified to 0 2.411 * [simplify]: Simplified (2) to (λ (a b c d) 0) 2.411 * * * * [progress]: [ 58 / 65 ] simplifiying candidate # 2.411 * [simplify]: Simplifying 0 2.412 * * [simplify]: iters left: 0 (1 enodes) 2.412 * * [simplify]: Extracting #0: cost 1 inf + 0 2.412 * * [simplify]: Extracting #1: cost 0 inf + 1 2.412 * [simplify]: Simplified to 0 2.412 * [simplify]: Simplified (2) to (λ (a b c d) 0) 2.412 * * * * [progress]: [ 59 / 65 ] simplifiying candidate # 2.413 * [simplify]: Simplifying 0 2.413 * * [simplify]: iters left: 0 (1 enodes) 2.414 * * [simplify]: Extracting #0: cost 1 inf + 0 2.414 * * [simplify]: Extracting #1: cost 0 inf + 1 2.414 * [simplify]: Simplified to 0 2.414 * [simplify]: Simplified (2) to (λ (a b c d) 0) 2.414 * * * * [progress]: [ 60 / 65 ] simplifiying candidate # 2.414 * [simplify]: Simplifying 0 2.414 * * [simplify]: iters left: 0 (1 enodes) 2.415 * * [simplify]: Extracting #0: cost 1 inf + 0 2.415 * * [simplify]: Extracting #1: cost 0 inf + 1 2.415 * [simplify]: Simplified to 0 2.415 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ 0 (+ (* c c) (* d d)))) 2.415 * * * * [progress]: [ 61 / 65 ] simplifiying candidate # 2.415 * [simplify]: Simplifying (+ (* a c) (* b d)) 2.415 * * [simplify]: iters left: 4 (7 enodes) 2.418 * * [simplify]: iters left: 3 (24 enodes) 2.424 * * [simplify]: Extracting #0: cost 1 inf + 0 2.424 * * [simplify]: Extracting #1: cost 4 inf + 0 2.424 * * [simplify]: Extracting #2: cost 10 inf + 0 2.424 * * [simplify]: Extracting #3: cost 6 inf + 4 2.425 * * [simplify]: Extracting #4: cost 1 inf + 296 2.425 * * [simplify]: Extracting #5: cost 0 inf + 420 2.425 * [simplify]: Simplified to (+ (* b d) (* a c)) 2.425 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))) 2.425 * * * * [progress]: [ 62 / 65 ] simplifiying candidate # 2.425 * [simplify]: Simplifying (+ (* a c) (* b d)) 2.426 * * [simplify]: iters left: 4 (7 enodes) 2.429 * * [simplify]: iters left: 3 (24 enodes) 2.435 * * [simplify]: Extracting #0: cost 1 inf + 0 2.435 * * [simplify]: Extracting #1: cost 4 inf + 0 2.435 * * [simplify]: Extracting #2: cost 10 inf + 0 2.435 * * [simplify]: Extracting #3: cost 6 inf + 4 2.435 * * [simplify]: Extracting #4: cost 1 inf + 296 2.435 * * [simplify]: Extracting #5: cost 0 inf + 420 2.436 * [simplify]: Simplified to (+ (* b d) (* a c)) 2.436 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))) 2.436 * * * * [progress]: [ 63 / 65 ] simplifiying candidate # 2.436 * [simplify]: Simplifying (+ (pow d 2) (pow c 2)) 2.436 * * [simplify]: iters left: 3 (6 enodes) 2.440 * * [simplify]: iters left: 2 (27 enodes) 2.452 * * [simplify]: iters left: 1 (31 enodes) 2.460 * * [simplify]: Extracting #0: cost 1 inf + 0 2.460 * * [simplify]: Extracting #1: cost 4 inf + 0 2.460 * * [simplify]: Extracting #2: cost 9 inf + 0 2.460 * * [simplify]: Extracting #3: cost 6 inf + 3 2.460 * * [simplify]: Extracting #4: cost 1 inf + 370 2.460 * * [simplify]: Extracting #5: cost 0 inf + 411 2.461 * [simplify]: Simplified to (+ (* d d) (* c c)) 2.461 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (+ (* a c) (* b d)) (+ (* d d) (* c c)))) 2.461 * * * * [progress]: [ 64 / 65 ] simplifiying candidate # 2.461 * [simplify]: Simplifying (+ (pow c 2) (pow d 2)) 2.461 * * [simplify]: iters left: 3 (6 enodes) 2.465 * * [simplify]: iters left: 2 (27 enodes) 2.470 * * [simplify]: iters left: 1 (31 enodes) 2.474 * * [simplify]: Extracting #0: cost 1 inf + 0 2.474 * * [simplify]: Extracting #1: cost 4 inf + 0 2.474 * * [simplify]: Extracting #2: cost 9 inf + 0 2.474 * * [simplify]: Extracting #3: cost 6 inf + 3 2.474 * * [simplify]: Extracting #4: cost 1 inf + 370 2.475 * * [simplify]: Extracting #5: cost 0 inf + 411 2.475 * [simplify]: Simplified to (+ (* c c) (* d d)) 2.475 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) 2.475 * * * * [progress]: [ 65 / 65 ] simplifiying candidate # 2.475 * [simplify]: Simplifying (+ (pow c 2) (pow d 2)) 2.475 * * [simplify]: iters left: 3 (6 enodes) 2.477 * * [simplify]: iters left: 2 (27 enodes) 2.481 * * [simplify]: iters left: 1 (31 enodes) 2.485 * * [simplify]: Extracting #0: cost 1 inf + 0 2.485 * * [simplify]: Extracting #1: cost 4 inf + 0 2.485 * * [simplify]: Extracting #2: cost 9 inf + 0 2.485 * * [simplify]: Extracting #3: cost 6 inf + 3 2.485 * * [simplify]: Extracting #4: cost 1 inf + 370 2.486 * * [simplify]: Extracting #5: cost 0 inf + 411 2.486 * [simplify]: Simplified to (+ (* c c) (* d d)) 2.486 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) 2.486 * * * [progress]: adding candidates to table 3.262 * * [progress]: iteration 2 / 4 3.262 * * * [progress]: picking best candidate 3.322 * * * * [pick]: Picked # 3.322 * * * [progress]: localizing error 3.376 * * * [progress]: generating rewritten candidates 3.376 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.389 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 3.401 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.443 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 3.454 * * * [progress]: generating series expansions 3.454 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.454 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2))) 3.454 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0 3.454 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d 3.454 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 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 * [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 (* c c) into (pow c 2) 3.454 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 3.454 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c 3.454 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 3.455 * [backup-simplify]: Simplify (+ 0 0) into 0 3.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 3.455 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 3.455 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 3.455 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.455 * [taylor]: Taking taylor expansion of c in c 3.455 * [backup-simplify]: Simplify 0 into 0 3.455 * [backup-simplify]: Simplify 1 into 1 3.455 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.455 * [taylor]: Taking taylor expansion of d in c 3.455 * [backup-simplify]: Simplify d into d 3.455 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.455 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 3.455 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 3.456 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.456 * [backup-simplify]: Simplify (+ 0 0) into 0 3.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 3.456 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 3.456 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 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 3.456 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.456 * [taylor]: Taking taylor expansion of d in c 3.456 * [backup-simplify]: Simplify d into d 3.456 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.456 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 3.456 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 3.456 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.457 * [backup-simplify]: Simplify (+ 0 0) into 0 3.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 3.457 * [taylor]: Taking taylor expansion of d in d 3.457 * [backup-simplify]: Simplify 0 into 0 3.457 * [backup-simplify]: Simplify 1 into 1 3.457 * [backup-simplify]: Simplify 0 into 0 3.457 * [taylor]: Taking taylor expansion of 0 in d 3.457 * [backup-simplify]: Simplify 0 into 0 3.457 * [backup-simplify]: Simplify 0 into 0 3.457 * [backup-simplify]: Simplify 1 into 1 3.458 * [backup-simplify]: Simplify (* 1 1) into 1 3.458 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 3.458 * [backup-simplify]: Simplify (+ 1 0) into 1 3.459 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) 3.459 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d 3.459 * [taylor]: Taking taylor expansion of 1/2 in d 3.459 * [backup-simplify]: Simplify 1/2 into 1/2 3.459 * [taylor]: Taking taylor expansion of d in d 3.459 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify 1 into 1 3.459 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.460 * [backup-simplify]: Simplify 0 into 0 3.460 * [backup-simplify]: Simplify 0 into 0 3.460 * [backup-simplify]: Simplify 0 into 0 3.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.461 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 3.461 * [backup-simplify]: Simplify (+ 0 0) into 0 3.461 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 3.461 * [taylor]: Taking taylor expansion of 0 in d 3.461 * [backup-simplify]: Simplify 0 into 0 3.461 * [backup-simplify]: Simplify 0 into 0 3.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.462 * [backup-simplify]: Simplify 0 into 0 3.462 * [backup-simplify]: Simplify 0 into 0 3.462 * [backup-simplify]: Simplify (* 1 (* d 1)) into d 3.462 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 3.462 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 3.462 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 3.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 3.462 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 3.462 * [taylor]: Taking taylor expansion of (pow c 2) in d 3.462 * [taylor]: Taking taylor expansion of c in d 3.462 * [backup-simplify]: Simplify c into c 3.462 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.462 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 3.462 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 3.462 * [taylor]: Taking taylor expansion of (pow d 2) in d 3.463 * [taylor]: Taking taylor expansion of d in d 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify 1 into 1 3.463 * [backup-simplify]: Simplify (* 1 1) into 1 3.463 * [backup-simplify]: Simplify (/ 1 1) into 1 3.463 * [backup-simplify]: Simplify (+ 0 1) into 1 3.464 * [backup-simplify]: Simplify (sqrt 1) into 1 3.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.465 * [backup-simplify]: Simplify (+ 0 0) into 0 3.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.465 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 3.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 3.465 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 3.465 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.465 * [taylor]: Taking taylor expansion of c in c 3.465 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify 1 into 1 3.465 * [backup-simplify]: Simplify (* 1 1) into 1 3.466 * [backup-simplify]: Simplify (/ 1 1) into 1 3.466 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 3.466 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.466 * [taylor]: Taking taylor expansion of d in c 3.466 * [backup-simplify]: Simplify d into d 3.466 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.466 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.466 * [backup-simplify]: Simplify (+ 1 0) into 1 3.466 * [backup-simplify]: Simplify (sqrt 1) into 1 3.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.467 * [backup-simplify]: Simplify (+ 0 0) into 0 3.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.468 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 3.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 3.468 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 3.468 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.468 * [taylor]: Taking taylor expansion of c in c 3.468 * [backup-simplify]: Simplify 0 into 0 3.468 * [backup-simplify]: Simplify 1 into 1 3.468 * [backup-simplify]: Simplify (* 1 1) into 1 3.468 * [backup-simplify]: Simplify (/ 1 1) into 1 3.468 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 3.468 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.469 * [taylor]: Taking taylor expansion of d in c 3.469 * [backup-simplify]: Simplify d into d 3.469 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.469 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.469 * [backup-simplify]: Simplify (+ 1 0) into 1 3.469 * [backup-simplify]: Simplify (sqrt 1) into 1 3.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.470 * [backup-simplify]: Simplify (+ 0 0) into 0 3.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.471 * [taylor]: Taking taylor expansion of 1 in d 3.471 * [backup-simplify]: Simplify 1 into 1 3.471 * [taylor]: Taking taylor expansion of 0 in d 3.471 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify 1 into 1 3.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.472 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 3.473 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 3.473 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 3.473 * [taylor]: Taking taylor expansion of 1/2 in d 3.473 * [backup-simplify]: Simplify 1/2 into 1/2 3.473 * [taylor]: Taking taylor expansion of (pow d 2) in d 3.473 * [taylor]: Taking taylor expansion of d in d 3.473 * [backup-simplify]: Simplify 0 into 0 3.473 * [backup-simplify]: Simplify 1 into 1 3.473 * [backup-simplify]: Simplify (* 1 1) into 1 3.473 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.474 * [backup-simplify]: Simplify 0 into 0 3.474 * [backup-simplify]: Simplify 0 into 0 3.475 * [backup-simplify]: Simplify 0 into 0 3.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.477 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.477 * [backup-simplify]: Simplify (+ 0 0) into 0 3.478 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 3.478 * [taylor]: Taking taylor expansion of 0 in d 3.478 * [backup-simplify]: Simplify 0 into 0 3.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c 3.481 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 3.481 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 3.481 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 3.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 3.481 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 3.481 * [taylor]: Taking taylor expansion of (pow c 2) in d 3.481 * [taylor]: Taking taylor expansion of c in d 3.481 * [backup-simplify]: Simplify c into c 3.481 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.481 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 3.481 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 3.481 * [taylor]: Taking taylor expansion of (pow d 2) in d 3.481 * [taylor]: Taking taylor expansion of d in d 3.481 * [backup-simplify]: Simplify 0 into 0 3.481 * [backup-simplify]: Simplify 1 into 1 3.481 * [backup-simplify]: Simplify (* 1 1) into 1 3.482 * [backup-simplify]: Simplify (/ 1 1) into 1 3.482 * [backup-simplify]: Simplify (+ 0 1) into 1 3.483 * [backup-simplify]: Simplify (sqrt 1) into 1 3.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.484 * [backup-simplify]: Simplify (+ 0 0) into 0 3.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.485 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 3.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 3.485 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 3.485 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.485 * [taylor]: Taking taylor expansion of c in c 3.485 * [backup-simplify]: Simplify 0 into 0 3.485 * [backup-simplify]: Simplify 1 into 1 3.486 * [backup-simplify]: Simplify (* 1 1) into 1 3.486 * [backup-simplify]: Simplify (/ 1 1) into 1 3.486 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 3.486 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.486 * [taylor]: Taking taylor expansion of d in c 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)) 3.487 * [backup-simplify]: Simplify (+ 1 0) into 1 3.487 * [backup-simplify]: Simplify (sqrt 1) into 1 3.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.489 * [backup-simplify]: Simplify (+ 0 0) into 0 3.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.490 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 3.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 3.490 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 3.490 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.490 * [taylor]: Taking taylor expansion of c in c 3.490 * [backup-simplify]: Simplify 0 into 0 3.490 * [backup-simplify]: Simplify 1 into 1 3.490 * [backup-simplify]: Simplify (* 1 1) into 1 3.491 * [backup-simplify]: Simplify (/ 1 1) into 1 3.491 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 3.491 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.491 * [taylor]: Taking taylor expansion of d in c 3.491 * [backup-simplify]: Simplify d into d 3.491 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.491 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.492 * [backup-simplify]: Simplify (+ 1 0) into 1 3.492 * [backup-simplify]: Simplify (sqrt 1) into 1 3.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.494 * [backup-simplify]: Simplify (+ 0 0) into 0 3.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.495 * [taylor]: Taking taylor expansion of 1 in d 3.495 * [backup-simplify]: Simplify 1 into 1 3.495 * [taylor]: Taking taylor expansion of 0 in d 3.495 * [backup-simplify]: Simplify 0 into 0 3.495 * [backup-simplify]: Simplify 1 into 1 3.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.497 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 3.498 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 3.498 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 3.498 * [taylor]: Taking taylor expansion of 1/2 in d 3.498 * [backup-simplify]: Simplify 1/2 into 1/2 3.498 * [taylor]: Taking taylor expansion of (pow d 2) in d 3.498 * [taylor]: Taking taylor expansion of d in d 3.498 * [backup-simplify]: Simplify 0 into 0 3.499 * [backup-simplify]: Simplify 1 into 1 3.499 * [backup-simplify]: Simplify (* 1 1) into 1 3.499 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.501 * [backup-simplify]: Simplify 0 into 0 3.501 * [backup-simplify]: Simplify 0 into 0 3.501 * [backup-simplify]: Simplify 0 into 0 3.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.503 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.504 * [backup-simplify]: Simplify (+ 0 0) into 0 3.504 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 3.505 * [taylor]: Taking taylor expansion of 0 in d 3.505 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.507 * [backup-simplify]: Simplify 0 into 0 3.507 * [backup-simplify]: Simplify 0 into 0 3.507 * [backup-simplify]: Simplify 0 into 0 3.507 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) 3.507 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 3.507 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2))) 3.507 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0 3.507 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d 3.507 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 3.507 * [taylor]: Taking taylor expansion of (pow c 2) in d 3.507 * [taylor]: Taking taylor expansion of c in d 3.507 * [backup-simplify]: Simplify c into c 3.507 * [taylor]: Taking taylor expansion of (pow d 2) in d 3.507 * [taylor]: Taking taylor expansion of d in d 3.507 * [backup-simplify]: Simplify 0 into 0 3.507 * [backup-simplify]: Simplify 1 into 1 3.507 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.508 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 3.508 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c 3.508 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 3.508 * [backup-simplify]: Simplify (+ 0 0) into 0 3.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 3.508 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 3.508 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 3.508 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.508 * [taylor]: Taking taylor expansion of c in c 3.508 * [backup-simplify]: Simplify 0 into 0 3.508 * [backup-simplify]: Simplify 1 into 1 3.508 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.509 * [taylor]: Taking taylor expansion of d in c 3.509 * [backup-simplify]: Simplify d into d 3.509 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.509 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 3.509 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 3.509 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.510 * [backup-simplify]: Simplify (+ 0 0) into 0 3.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 3.510 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 3.510 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 3.510 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.510 * [taylor]: Taking taylor expansion of c in c 3.510 * [backup-simplify]: Simplify 0 into 0 3.510 * [backup-simplify]: Simplify 1 into 1 3.510 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.510 * [taylor]: Taking taylor expansion of d in c 3.510 * [backup-simplify]: Simplify d into d 3.510 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.510 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 3.510 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 3.510 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.511 * [backup-simplify]: Simplify (+ 0 0) into 0 3.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 3.511 * [taylor]: Taking taylor expansion of d in d 3.511 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify 1 into 1 3.511 * [backup-simplify]: Simplify 0 into 0 3.511 * [taylor]: Taking taylor expansion of 0 in d 3.511 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify 1 into 1 3.512 * [backup-simplify]: Simplify (* 1 1) into 1 3.512 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 3.512 * [backup-simplify]: Simplify (+ 1 0) into 1 3.513 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) 3.513 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d 3.513 * [taylor]: Taking taylor expansion of 1/2 in d 3.513 * [backup-simplify]: Simplify 1/2 into 1/2 3.513 * [taylor]: Taking taylor expansion of d in d 3.513 * [backup-simplify]: Simplify 0 into 0 3.513 * [backup-simplify]: Simplify 1 into 1 3.514 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.515 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify 0 into 0 3.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.516 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 3.517 * [backup-simplify]: Simplify (+ 0 0) into 0 3.517 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 3.517 * [taylor]: Taking taylor expansion of 0 in d 3.517 * [backup-simplify]: Simplify 0 into 0 3.517 * [backup-simplify]: Simplify 0 into 0 3.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.518 * [backup-simplify]: Simplify 0 into 0 3.518 * [backup-simplify]: Simplify 0 into 0 3.518 * [backup-simplify]: Simplify (* 1 (* d 1)) into d 3.518 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 3.519 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 3.519 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 3.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 3.519 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 3.519 * [taylor]: Taking taylor expansion of (pow c 2) in d 3.519 * [taylor]: Taking taylor expansion of c in d 3.519 * [backup-simplify]: Simplify c into c 3.519 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.519 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 3.519 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 3.519 * [taylor]: Taking taylor expansion of (pow d 2) in d 3.519 * [taylor]: Taking taylor expansion of d in d 3.519 * [backup-simplify]: Simplify 0 into 0 3.519 * [backup-simplify]: Simplify 1 into 1 3.519 * [backup-simplify]: Simplify (* 1 1) into 1 3.520 * [backup-simplify]: Simplify (/ 1 1) into 1 3.520 * [backup-simplify]: Simplify (+ 0 1) into 1 3.521 * [backup-simplify]: Simplify (sqrt 1) into 1 3.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.522 * [backup-simplify]: Simplify (+ 0 0) into 0 3.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.523 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 3.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 3.523 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 3.523 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.523 * [taylor]: Taking taylor expansion of c in c 3.523 * [backup-simplify]: Simplify 0 into 0 3.523 * [backup-simplify]: Simplify 1 into 1 3.524 * [backup-simplify]: Simplify (* 1 1) into 1 3.524 * [backup-simplify]: Simplify (/ 1 1) into 1 3.524 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 3.524 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.524 * [taylor]: Taking taylor expansion of d in c 3.524 * [backup-simplify]: Simplify d into d 3.524 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.524 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.525 * [backup-simplify]: Simplify (+ 1 0) into 1 3.525 * [backup-simplify]: Simplify (sqrt 1) into 1 3.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.527 * [backup-simplify]: Simplify (+ 0 0) into 0 3.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.528 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 3.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 3.528 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 3.528 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.528 * [taylor]: Taking taylor expansion of c in c 3.528 * [backup-simplify]: Simplify 0 into 0 3.528 * [backup-simplify]: Simplify 1 into 1 3.528 * [backup-simplify]: Simplify (* 1 1) into 1 3.529 * [backup-simplify]: Simplify (/ 1 1) into 1 3.529 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 3.529 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.529 * [taylor]: Taking taylor expansion of d in c 3.529 * [backup-simplify]: Simplify d into d 3.529 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.529 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.529 * [backup-simplify]: Simplify (+ 1 0) into 1 3.530 * [backup-simplify]: Simplify (sqrt 1) into 1 3.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.532 * [backup-simplify]: Simplify (+ 0 0) into 0 3.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.533 * [taylor]: Taking taylor expansion of 1 in d 3.533 * [backup-simplify]: Simplify 1 into 1 3.533 * [taylor]: Taking taylor expansion of 0 in d 3.533 * [backup-simplify]: Simplify 0 into 0 3.533 * [backup-simplify]: Simplify 1 into 1 3.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.535 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 3.537 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 3.537 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 3.537 * [taylor]: Taking taylor expansion of 1/2 in d 3.537 * [backup-simplify]: Simplify 1/2 into 1/2 3.537 * [taylor]: Taking taylor expansion of (pow d 2) in d 3.537 * [taylor]: Taking taylor expansion of d in d 3.537 * [backup-simplify]: Simplify 0 into 0 3.537 * [backup-simplify]: Simplify 1 into 1 3.537 * [backup-simplify]: Simplify (* 1 1) into 1 3.538 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.539 * [backup-simplify]: Simplify 0 into 0 3.539 * [backup-simplify]: Simplify 0 into 0 3.539 * [backup-simplify]: Simplify 0 into 0 3.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.541 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.542 * [backup-simplify]: Simplify (+ 0 0) into 0 3.543 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 3.543 * [taylor]: Taking taylor expansion of 0 in d 3.543 * [backup-simplify]: Simplify 0 into 0 3.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.545 * [backup-simplify]: Simplify 0 into 0 3.545 * [backup-simplify]: Simplify 0 into 0 3.545 * [backup-simplify]: Simplify 0 into 0 3.545 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c 3.545 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 3.545 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 3.545 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 3.545 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 3.545 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 3.545 * [taylor]: Taking taylor expansion of (pow c 2) in d 3.545 * [taylor]: Taking taylor expansion of c in d 3.545 * [backup-simplify]: Simplify c into c 3.546 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.546 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 3.546 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 3.546 * [taylor]: Taking taylor expansion of (pow d 2) in d 3.546 * [taylor]: Taking taylor expansion of d in d 3.546 * [backup-simplify]: Simplify 0 into 0 3.546 * [backup-simplify]: Simplify 1 into 1 3.546 * [backup-simplify]: Simplify (* 1 1) into 1 3.547 * [backup-simplify]: Simplify (/ 1 1) into 1 3.547 * [backup-simplify]: Simplify (+ 0 1) into 1 3.547 * [backup-simplify]: Simplify (sqrt 1) into 1 3.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.549 * [backup-simplify]: Simplify (+ 0 0) into 0 3.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.550 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 3.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 3.550 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 3.550 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.550 * [taylor]: Taking taylor expansion of c in c 3.550 * [backup-simplify]: Simplify 0 into 0 3.550 * [backup-simplify]: Simplify 1 into 1 3.550 * [backup-simplify]: Simplify (* 1 1) into 1 3.551 * [backup-simplify]: Simplify (/ 1 1) into 1 3.551 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 3.551 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.551 * [taylor]: Taking taylor expansion of d in c 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)) 3.552 * [backup-simplify]: Simplify (+ 1 0) into 1 3.552 * [backup-simplify]: Simplify (sqrt 1) into 1 3.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.554 * [backup-simplify]: Simplify (+ 0 0) into 0 3.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.555 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 3.555 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 3.555 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 3.555 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.555 * [taylor]: Taking taylor expansion of c in c 3.555 * [backup-simplify]: Simplify 0 into 0 3.555 * [backup-simplify]: Simplify 1 into 1 3.555 * [backup-simplify]: Simplify (* 1 1) into 1 3.556 * [backup-simplify]: Simplify (/ 1 1) into 1 3.556 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 3.556 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.556 * [taylor]: Taking taylor expansion of d in c 3.556 * [backup-simplify]: Simplify d into d 3.556 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.556 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.556 * [backup-simplify]: Simplify (+ 1 0) 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 3.559 * [backup-simplify]: Simplify (+ 0 0) into 0 3.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.560 * [taylor]: Taking taylor expansion of 1 in d 3.560 * [backup-simplify]: Simplify 1 into 1 3.560 * [taylor]: Taking taylor expansion of 0 in d 3.560 * [backup-simplify]: Simplify 0 into 0 3.560 * [backup-simplify]: Simplify 1 into 1 3.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.562 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 3.563 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 3.563 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 3.563 * [taylor]: Taking taylor expansion of 1/2 in d 3.563 * [backup-simplify]: Simplify 1/2 into 1/2 3.563 * [taylor]: Taking taylor expansion of (pow d 2) in d 3.563 * [taylor]: Taking taylor expansion of d in d 3.564 * [backup-simplify]: Simplify 0 into 0 3.564 * [backup-simplify]: Simplify 1 into 1 3.564 * [backup-simplify]: Simplify (* 1 1) into 1 3.564 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.566 * [backup-simplify]: Simplify 0 into 0 3.566 * [backup-simplify]: Simplify 0 into 0 3.566 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.568 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.574 * [backup-simplify]: Simplify (+ 0 0) into 0 3.575 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 3.575 * [taylor]: Taking taylor expansion of 0 in d 3.575 * [backup-simplify]: Simplify 0 into 0 3.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.577 * [backup-simplify]: Simplify 0 into 0 3.577 * [backup-simplify]: Simplify 0 into 0 3.577 * [backup-simplify]: Simplify 0 into 0 3.577 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) 3.577 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 3.577 * [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))))) 3.577 * [approximate]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in (a c b d) around 0 3.578 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in d 3.578 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d 3.578 * [taylor]: Taking taylor expansion of (* a c) in d 3.578 * [taylor]: Taking taylor expansion of a in d 3.578 * [backup-simplify]: Simplify a into a 3.578 * [taylor]: Taking taylor expansion of c in d 3.578 * [backup-simplify]: Simplify c into c 3.578 * [taylor]: Taking taylor expansion of (* b d) in d 3.578 * [taylor]: Taking taylor expansion of b in d 3.578 * [backup-simplify]: Simplify b into b 3.578 * [taylor]: Taking taylor expansion of d in d 3.578 * [backup-simplify]: Simplify 0 into 0 3.578 * [backup-simplify]: Simplify 1 into 1 3.578 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in d 3.578 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in d 3.578 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 3.578 * [taylor]: Taking taylor expansion of (pow c 2) in d 3.578 * [taylor]: Taking taylor expansion of c in d 3.578 * [backup-simplify]: Simplify c into c 3.578 * [taylor]: Taking taylor expansion of (pow d 2) in d 3.578 * [taylor]: Taking taylor expansion of d in d 3.578 * [backup-simplify]: Simplify 0 into 0 3.578 * [backup-simplify]: Simplify 1 into 1 3.578 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.578 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 3.578 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 3.579 * [backup-simplify]: Simplify (sqrt (/ 1 (pow c 2))) into (/ 1 c) 3.579 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 3.579 * [backup-simplify]: Simplify (+ 0 0) into 0 3.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 3.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow c 2))))) into 0 3.579 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in b 3.579 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b 3.579 * [taylor]: Taking taylor expansion of (* a c) in b 3.580 * [taylor]: Taking taylor expansion of a in b 3.580 * [backup-simplify]: Simplify a into a 3.580 * [taylor]: Taking taylor expansion of c in b 3.580 * [backup-simplify]: Simplify c into c 3.580 * [taylor]: Taking taylor expansion of (* b d) in b 3.580 * [taylor]: Taking taylor expansion of b in b 3.580 * [backup-simplify]: Simplify 0 into 0 3.580 * [backup-simplify]: Simplify 1 into 1 3.580 * [taylor]: Taking taylor expansion of d in b 3.580 * [backup-simplify]: Simplify d into d 3.580 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in b 3.580 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in b 3.580 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b 3.580 * [taylor]: Taking taylor expansion of (pow c 2) in b 3.580 * [taylor]: Taking taylor expansion of c in b 3.580 * [backup-simplify]: Simplify c into c 3.580 * [taylor]: Taking taylor expansion of (pow d 2) in b 3.580 * [taylor]: Taking taylor expansion of d in b 3.580 * [backup-simplify]: Simplify d into d 3.580 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.580 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.580 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 3.580 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2))) 3.581 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) 3.581 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 3.581 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.581 * [backup-simplify]: Simplify (+ 0 0) into 0 3.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 3.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0 3.582 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c 3.582 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c 3.582 * [taylor]: Taking taylor expansion of (* a c) in c 3.582 * [taylor]: Taking taylor expansion of a in c 3.582 * [backup-simplify]: Simplify a into a 3.582 * [taylor]: Taking taylor expansion of c in c 3.582 * [backup-simplify]: Simplify 0 into 0 3.582 * [backup-simplify]: Simplify 1 into 1 3.582 * [taylor]: Taking taylor expansion of (* b d) in c 3.582 * [taylor]: Taking taylor expansion of b in c 3.582 * [backup-simplify]: Simplify b into b 3.582 * [taylor]: Taking taylor expansion of d in c 3.582 * [backup-simplify]: Simplify d into d 3.582 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c 3.582 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c 3.582 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 3.582 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.582 * [taylor]: Taking taylor expansion of c in c 3.582 * [backup-simplify]: Simplify 0 into 0 3.582 * [backup-simplify]: Simplify 1 into 1 3.582 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.582 * [taylor]: Taking taylor expansion of d in c 3.582 * [backup-simplify]: Simplify d into d 3.583 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.583 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 3.583 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.583 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d) 3.583 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.583 * [backup-simplify]: Simplify (+ 0 0) into 0 3.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0 3.584 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a 3.584 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 3.584 * [taylor]: Taking taylor expansion of (* a c) in a 3.584 * [taylor]: Taking taylor expansion of a in a 3.584 * [backup-simplify]: Simplify 0 into 0 3.584 * [backup-simplify]: Simplify 1 into 1 3.584 * [taylor]: Taking taylor expansion of c in a 3.584 * [backup-simplify]: Simplify c into c 3.584 * [taylor]: Taking taylor expansion of (* b d) in a 3.584 * [taylor]: Taking taylor expansion of b in a 3.584 * [backup-simplify]: Simplify b into b 3.584 * [taylor]: Taking taylor expansion of d in a 3.584 * [backup-simplify]: Simplify d into d 3.584 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a 3.584 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a 3.584 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a 3.584 * [taylor]: Taking taylor expansion of (pow c 2) in a 3.584 * [taylor]: Taking taylor expansion of c in a 3.584 * [backup-simplify]: Simplify c into c 3.584 * [taylor]: Taking taylor expansion of (pow d 2) in a 3.584 * [taylor]: Taking taylor expansion of d in a 3.584 * [backup-simplify]: Simplify d into d 3.584 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.584 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.585 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 3.585 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2))) 3.585 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) 3.585 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 3.585 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.586 * [backup-simplify]: Simplify (+ 0 0) into 0 3.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 3.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0 3.586 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a 3.586 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 3.586 * [taylor]: Taking taylor expansion of (* a c) in a 3.586 * [taylor]: Taking taylor expansion of a in a 3.586 * [backup-simplify]: Simplify 0 into 0 3.586 * [backup-simplify]: Simplify 1 into 1 3.586 * [taylor]: Taking taylor expansion of c in a 3.586 * [backup-simplify]: Simplify c into c 3.586 * [taylor]: Taking taylor expansion of (* b d) in a 3.586 * [taylor]: Taking taylor expansion of b in a 3.586 * [backup-simplify]: Simplify b into b 3.586 * [taylor]: Taking taylor expansion of d in a 3.586 * [backup-simplify]: Simplify d into d 3.586 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a 3.587 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a 3.587 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a 3.587 * [taylor]: Taking taylor expansion of (pow c 2) in a 3.587 * [taylor]: Taking taylor expansion of c in a 3.587 * [backup-simplify]: Simplify c into c 3.587 * [taylor]: Taking taylor expansion of (pow d 2) in a 3.587 * [taylor]: Taking taylor expansion of d in a 3.587 * [backup-simplify]: Simplify d into d 3.587 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.587 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.587 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 3.587 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2))) 3.587 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) 3.587 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 3.588 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.588 * [backup-simplify]: Simplify (+ 0 0) into 0 3.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 3.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0 3.589 * [backup-simplify]: Simplify (* 0 c) into 0 3.589 * [backup-simplify]: Simplify (* b d) into (* b d) 3.589 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 3.589 * [backup-simplify]: Simplify (* (* b d) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) into (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) 3.589 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) in c 3.589 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c 3.589 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c 3.589 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 3.589 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.589 * [taylor]: Taking taylor expansion of c in c 3.589 * [backup-simplify]: Simplify 0 into 0 3.589 * [backup-simplify]: Simplify 1 into 1 3.589 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.589 * [taylor]: Taking taylor expansion of d in c 3.589 * [backup-simplify]: Simplify d into d 3.589 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.590 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 3.590 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.590 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d) 3.590 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.590 * [backup-simplify]: Simplify (+ 0 0) into 0 3.590 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0 3.591 * [taylor]: Taking taylor expansion of (* b d) in c 3.591 * [taylor]: Taking taylor expansion of b in c 3.591 * [backup-simplify]: Simplify b into b 3.591 * [taylor]: Taking taylor expansion of d in c 3.591 * [backup-simplify]: Simplify d into d 3.591 * [backup-simplify]: Simplify (* b d) into (* b d) 3.591 * [backup-simplify]: Simplify (* (/ 1 d) (* b d)) into 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 0 in d 3.591 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 3.592 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 3.592 * [backup-simplify]: Simplify (+ c 0) into c 3.592 * [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))))) 3.592 * [taylor]: Taking taylor expansion of (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c 3.592 * [taylor]: Taking taylor expansion of c in c 3.592 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify 1 into 1 3.592 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c 3.592 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c 3.592 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 3.592 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.592 * [taylor]: Taking taylor expansion of c in c 3.592 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify 1 into 1 3.592 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.592 * [taylor]: Taking taylor expansion of d in c 3.592 * [backup-simplify]: Simplify d into d 3.593 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.593 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 3.593 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.593 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d) 3.593 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.593 * [backup-simplify]: Simplify (+ 0 0) into 0 3.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0 3.594 * [backup-simplify]: Simplify (* 0 (/ 1 d)) into 0 3.594 * [taylor]: Taking taylor expansion of 0 in b 3.594 * [backup-simplify]: Simplify 0 into 0 3.594 * [taylor]: Taking taylor expansion of 0 in d 3.594 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 3.594 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (* 0 (* b d))) into 0 3.594 * [taylor]: Taking taylor expansion of 0 in b 3.594 * [backup-simplify]: Simplify 0 into 0 3.594 * [taylor]: Taking taylor expansion of 0 in d 3.594 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify 0 into 0 3.594 * [taylor]: Taking taylor expansion of 1 in d 3.594 * [backup-simplify]: Simplify 1 into 1 3.594 * [backup-simplify]: Simplify 1 into 1 3.595 * [backup-simplify]: Simplify 0 into 0 3.595 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 3.596 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 3.596 * [backup-simplify]: Simplify (+ 0 0) into 0 3.596 * [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 3.597 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0 3.598 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 3.599 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 3.599 * [backup-simplify]: Simplify (+ 0 0) into 0 3.599 * [backup-simplify]: Simplify (+ (* (* b d) 0) (+ (* c 0) (* 0 (sqrt (/ 1 (+ (pow c 2) (pow d 2))))))) into 0 3.599 * [taylor]: Taking taylor expansion of 0 in c 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [taylor]: Taking taylor expansion of 0 in b 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [taylor]: Taking taylor expansion of 0 in d 3.600 * [backup-simplify]: Simplify 0 into 0 3.600 * [backup-simplify]: Simplify 0 into 0 3.600 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1 d))) into (/ 1 d) 3.600 * [taylor]: Taking taylor expansion of (/ 1 d) in b 3.600 * [taylor]: Taking taylor expansion of d in b 3.600 * [backup-simplify]: Simplify d into d 3.600 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 3.600 * [taylor]: Taking taylor expansion of (/ 1 d) in d 3.600 * [taylor]: Taking taylor expansion of d in d 3.600 * [backup-simplify]: Simplify 0 into 0 3.600 * [backup-simplify]: Simplify 1 into 1 3.601 * [backup-simplify]: Simplify (/ 1 1) into 1 3.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.601 * [backup-simplify]: Simplify 0 into 0 3.602 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 3.602 * [backup-simplify]: Simplify (* 1 1) into 1 3.603 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 3.603 * [backup-simplify]: Simplify (+ 1 0) into 1 3.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ 1 (pow d 4))) 3.604 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 4))) (pow 0 2) (+)) (* 2 (/ 1 d))) into (/ -1/2 (pow d 3)) 3.605 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* (/ -1/2 (pow d 3)) (* b d)))) into (- (* 1/2 (/ b (pow d 2)))) 3.605 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ b (pow d 2)))) in b 3.605 * [taylor]: Taking taylor expansion of (* 1/2 (/ b (pow d 2))) in b 3.605 * [taylor]: Taking taylor expansion of 1/2 in b 3.605 * [backup-simplify]: Simplify 1/2 into 1/2 3.605 * [taylor]: Taking taylor expansion of (/ b (pow d 2)) in b 3.605 * [taylor]: Taking taylor expansion of b in b 3.605 * [backup-simplify]: Simplify 0 into 0 3.605 * [backup-simplify]: Simplify 1 into 1 3.605 * [taylor]: Taking taylor expansion of (pow d 2) in b 3.605 * [taylor]: Taking taylor expansion of d in b 3.605 * [backup-simplify]: Simplify d into d 3.606 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.606 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.606 * [taylor]: Taking taylor expansion of 0 in d 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [taylor]: Taking taylor expansion of 0 in d 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [taylor]: Taking taylor expansion of 0 in d 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify (* 1 (* 1 (* b (* 1 1)))) into b 3.607 * [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)))))) 3.607 * [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 3.607 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d 3.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 3.607 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 3.607 * [taylor]: Taking taylor expansion of (* b d) in d 3.607 * [taylor]: Taking taylor expansion of b in d 3.607 * [backup-simplify]: Simplify b into b 3.607 * [taylor]: Taking taylor expansion of d in d 3.607 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify 1 into 1 3.607 * [backup-simplify]: Simplify (* b 0) into 0 3.608 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 3.608 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 3.608 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 3.608 * [taylor]: Taking taylor expansion of (* a c) in d 3.608 * [taylor]: Taking taylor expansion of a in d 3.608 * [backup-simplify]: Simplify a into a 3.608 * [taylor]: Taking taylor expansion of c in d 3.608 * [backup-simplify]: Simplify c into c 3.608 * [backup-simplify]: Simplify (* a c) into (* a c) 3.608 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 3.608 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d 3.608 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 3.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 3.608 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 3.608 * [taylor]: Taking taylor expansion of (pow c 2) in d 3.608 * [taylor]: Taking taylor expansion of c in d 3.608 * [backup-simplify]: Simplify c into c 3.608 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.608 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 3.608 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 3.608 * [taylor]: Taking taylor expansion of (pow d 2) in d 3.608 * [taylor]: Taking taylor expansion of d in d 3.608 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify 1 into 1 3.609 * [backup-simplify]: Simplify (* 1 1) into 1 3.610 * [backup-simplify]: Simplify (/ 1 1) into 1 3.610 * [backup-simplify]: Simplify (+ 0 1) into 1 3.610 * [backup-simplify]: Simplify (/ 1 1) into 1 3.611 * [backup-simplify]: Simplify (sqrt 1) into 1 3.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.613 * [backup-simplify]: Simplify (+ 0 0) into 0 3.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.614 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b 3.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 3.614 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 3.614 * [taylor]: Taking taylor expansion of (* b d) in b 3.614 * [taylor]: Taking taylor expansion of b in b 3.614 * [backup-simplify]: Simplify 0 into 0 3.614 * [backup-simplify]: Simplify 1 into 1 3.614 * [taylor]: Taking taylor expansion of d in b 3.614 * [backup-simplify]: Simplify d into d 3.614 * [backup-simplify]: Simplify (* 0 d) into 0 3.615 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 3.615 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 3.615 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 3.615 * [taylor]: Taking taylor expansion of (* a c) in b 3.615 * [taylor]: Taking taylor expansion of a in b 3.615 * [backup-simplify]: Simplify a into a 3.615 * [taylor]: Taking taylor expansion of c in b 3.615 * [backup-simplify]: Simplify c into c 3.615 * [backup-simplify]: Simplify (* a c) into (* a c) 3.615 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 3.615 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b 3.615 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 3.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 3.615 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 3.615 * [taylor]: Taking taylor expansion of (pow c 2) in b 3.615 * [taylor]: Taking taylor expansion of c in b 3.615 * [backup-simplify]: Simplify c into c 3.616 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.616 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 3.616 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 3.616 * [taylor]: Taking taylor expansion of (pow d 2) in b 3.616 * [taylor]: Taking taylor expansion of d in b 3.616 * [backup-simplify]: Simplify d into d 3.616 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.616 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.616 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3.616 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 3.617 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 3.617 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 3.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 3.617 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.618 * [backup-simplify]: Simplify (+ 0 0) into 0 3.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.618 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c 3.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 3.618 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 3.618 * [taylor]: Taking taylor expansion of (* b d) in c 3.618 * [taylor]: Taking taylor expansion of b in c 3.618 * [backup-simplify]: Simplify b into b 3.618 * [taylor]: Taking taylor expansion of d in c 3.618 * [backup-simplify]: Simplify d into d 3.619 * [backup-simplify]: Simplify (* b d) into (* b d) 3.619 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.619 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 3.619 * [taylor]: Taking taylor expansion of (* a c) in c 3.619 * [taylor]: Taking taylor expansion of a in c 3.619 * [backup-simplify]: Simplify a into a 3.619 * [taylor]: Taking taylor expansion of c in c 3.619 * [backup-simplify]: Simplify 0 into 0 3.619 * [backup-simplify]: Simplify 1 into 1 3.619 * [backup-simplify]: Simplify (* a 0) into 0 3.619 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 3.619 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 3.619 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 3.619 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 3.619 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 3.619 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 3.619 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.619 * [taylor]: Taking taylor expansion of c in c 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 1) into 1 3.620 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 3.620 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.620 * [taylor]: Taking taylor expansion of d in c 3.620 * [backup-simplify]: Simplify d into d 3.620 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.621 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.621 * [backup-simplify]: Simplify (+ 1 0) into 1 3.621 * [backup-simplify]: Simplify (/ 1 1) into 1 3.622 * [backup-simplify]: Simplify (sqrt 1) into 1 3.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.624 * [backup-simplify]: Simplify (+ 0 0) into 0 3.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.625 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a 3.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 3.625 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 3.625 * [taylor]: Taking taylor expansion of (* b d) in a 3.625 * [taylor]: Taking taylor expansion of b in a 3.625 * [backup-simplify]: Simplify b into b 3.625 * [taylor]: Taking taylor expansion of d in a 3.625 * [backup-simplify]: Simplify d into d 3.625 * [backup-simplify]: Simplify (* b d) into (* b d) 3.625 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.626 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 3.626 * [taylor]: Taking taylor expansion of (* a c) in a 3.626 * [taylor]: Taking taylor expansion of a in a 3.626 * [backup-simplify]: Simplify 0 into 0 3.626 * [backup-simplify]: Simplify 1 into 1 3.626 * [taylor]: Taking taylor expansion of c in a 3.626 * [backup-simplify]: Simplify c into c 3.626 * [backup-simplify]: Simplify (* 0 c) into 0 3.626 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 3.626 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 3.626 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a 3.626 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 3.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 3.626 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 3.627 * [taylor]: Taking taylor expansion of (pow c 2) in a 3.627 * [taylor]: Taking taylor expansion of c in a 3.627 * [backup-simplify]: Simplify c into c 3.627 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.627 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 3.627 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 3.627 * [taylor]: Taking taylor expansion of (pow d 2) in a 3.627 * [taylor]: Taking taylor expansion of d in a 3.627 * [backup-simplify]: Simplify d into d 3.627 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.627 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.627 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3.627 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 3.628 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 3.628 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 3.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 3.628 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.629 * [backup-simplify]: Simplify (+ 0 0) into 0 3.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.630 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a 3.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 3.630 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 3.630 * [taylor]: Taking taylor expansion of (* b d) in a 3.630 * [taylor]: Taking taylor expansion of b in a 3.630 * [backup-simplify]: Simplify b into b 3.630 * [taylor]: Taking taylor expansion of d in a 3.630 * [backup-simplify]: Simplify d into d 3.630 * [backup-simplify]: Simplify (* b d) into (* b d) 3.630 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.630 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 3.630 * [taylor]: Taking taylor expansion of (* a c) in a 3.630 * [taylor]: Taking taylor expansion of a in a 3.630 * [backup-simplify]: Simplify 0 into 0 3.630 * [backup-simplify]: Simplify 1 into 1 3.630 * [taylor]: Taking taylor expansion of c in a 3.630 * [backup-simplify]: Simplify c into c 3.630 * [backup-simplify]: Simplify (* 0 c) into 0 3.631 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 3.631 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 3.631 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a 3.631 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 3.631 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 3.631 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 3.631 * [taylor]: Taking taylor expansion of (pow c 2) in a 3.631 * [taylor]: Taking taylor expansion of c in a 3.631 * [backup-simplify]: Simplify c into c 3.631 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.631 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 3.631 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 3.631 * [taylor]: Taking taylor expansion of (pow d 2) in a 3.631 * [taylor]: Taking taylor expansion of d in a 3.631 * [backup-simplify]: Simplify d into d 3.631 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.631 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.631 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3.631 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 3.631 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 3.631 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 3.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 3.631 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.632 * [backup-simplify]: Simplify (+ 0 0) into 0 3.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.632 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 3.632 * [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)) 3.632 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c 3.633 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 3.633 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 3.633 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 3.633 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 3.633 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.633 * [taylor]: Taking taylor expansion of c in c 3.633 * [backup-simplify]: Simplify 0 into 0 3.633 * [backup-simplify]: Simplify 1 into 1 3.633 * [backup-simplify]: Simplify (* 1 1) into 1 3.633 * [backup-simplify]: Simplify (/ 1 1) into 1 3.633 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 3.633 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.633 * [taylor]: Taking taylor expansion of d in c 3.633 * [backup-simplify]: Simplify d into d 3.633 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.633 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.634 * [backup-simplify]: Simplify (+ 1 0) into 1 3.634 * [backup-simplify]: Simplify (/ 1 1) into 1 3.634 * [backup-simplify]: Simplify (sqrt 1) into 1 3.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.635 * [backup-simplify]: Simplify (+ 0 0) into 0 3.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 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 3.636 * [backup-simplify]: Simplify (/ 1 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 3.637 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 3.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 3.637 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 3.638 * [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)))))) 3.638 * [taylor]: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c 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)) 3.638 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 3.638 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 3.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 3.638 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 3.638 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.638 * [taylor]: Taking taylor expansion of c in c 3.638 * [backup-simplify]: Simplify 0 into 0 3.638 * [backup-simplify]: Simplify 1 into 1 3.638 * [backup-simplify]: Simplify (* 1 1) into 1 3.639 * [backup-simplify]: Simplify (/ 1 1) into 1 3.639 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 3.639 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.639 * [taylor]: Taking taylor expansion of d in c 3.639 * [backup-simplify]: Simplify d into d 3.639 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.639 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.639 * [backup-simplify]: Simplify (+ 1 0) into 1 3.639 * [backup-simplify]: Simplify (/ 1 1) into 1 3.640 * [backup-simplify]: Simplify (sqrt 1) into 1 3.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.641 * [backup-simplify]: Simplify (+ 0 0) into 0 3.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.642 * [taylor]: Taking taylor expansion of 0 in b 3.642 * [backup-simplify]: Simplify 0 into 0 3.643 * [taylor]: Taking taylor expansion of 1 in d 3.643 * [backup-simplify]: Simplify 1 into 1 3.643 * [backup-simplify]: Simplify 1 into 1 3.643 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 3.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 3.643 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 3.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 3.644 * [backup-simplify]: Simplify (+ 0 0) into 0 3.644 * [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 3.645 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.645 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 3.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 3.646 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 3.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 3.646 * [backup-simplify]: Simplify (+ 0 0) into 0 3.646 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) 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 3.646 * [backup-simplify]: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d)) 3.646 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 3.646 * [taylor]: Taking taylor expansion of (* b d) in b 3.646 * [taylor]: Taking taylor expansion of b in b 3.646 * [backup-simplify]: Simplify 0 into 0 3.647 * [backup-simplify]: Simplify 1 into 1 3.647 * [taylor]: Taking taylor expansion of d in b 3.647 * [backup-simplify]: Simplify d into d 3.647 * [backup-simplify]: Simplify (* 0 d) into 0 3.647 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 3.647 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 3.647 * [taylor]: Taking taylor expansion of (/ 1 d) in d 3.647 * [taylor]: Taking taylor expansion of d in d 3.647 * [backup-simplify]: Simplify 0 into 0 3.647 * [backup-simplify]: Simplify 1 into 1 3.647 * [backup-simplify]: Simplify (/ 1 1) into 1 3.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.648 * [backup-simplify]: Simplify 0 into 0 3.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.650 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 3.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) 3.651 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2)) 3.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2)))) 3.652 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b 3.652 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b 3.652 * [taylor]: Taking taylor expansion of 1/2 in b 3.652 * [backup-simplify]: Simplify 1/2 into 1/2 3.652 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 3.652 * [taylor]: Taking taylor expansion of (pow d 2) in b 3.652 * [taylor]: Taking taylor expansion of d in b 3.652 * [backup-simplify]: Simplify d into d 3.652 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.652 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.652 * [taylor]: Taking taylor expansion of 0 in d 3.652 * [backup-simplify]: Simplify 0 into 0 3.652 * [backup-simplify]: Simplify 0 into 0 3.652 * [taylor]: Taking taylor expansion of 0 in d 3.652 * [backup-simplify]: Simplify 0 into 0 3.652 * [backup-simplify]: Simplify 0 into 0 3.652 * [backup-simplify]: Simplify 0 into 0 3.653 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 3.653 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 3.653 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 3.653 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 3.654 * [backup-simplify]: Simplify (+ 0 0) into 0 3.655 * [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 3.655 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.656 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 3.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 3.657 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 3.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 3.657 * [backup-simplify]: Simplify (+ 0 0) into 0 3.658 * [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 3.658 * [taylor]: Taking taylor expansion of 0 in c 3.658 * [backup-simplify]: Simplify 0 into 0 3.658 * [taylor]: Taking taylor expansion of 0 in b 3.658 * [backup-simplify]: Simplify 0 into 0 3.658 * [taylor]: Taking taylor expansion of 0 in b 3.658 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 3.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 3.658 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0 3.658 * [taylor]: Taking taylor expansion of 0 in b 3.658 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.662 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.662 * [backup-simplify]: Simplify (+ 0 0) into 0 3.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 3.664 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0 3.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0 3.666 * [taylor]: Taking taylor expansion of 0 in b 3.666 * [backup-simplify]: Simplify 0 into 0 3.666 * [taylor]: Taking taylor expansion of 0 in d 3.666 * [backup-simplify]: Simplify 0 into 0 3.666 * [backup-simplify]: Simplify 0 into 0 3.667 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 3.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 3.667 * [taylor]: Taking taylor expansion of 0 in d 3.667 * [backup-simplify]: Simplify 0 into 0 3.667 * [backup-simplify]: Simplify 0 into 0 3.667 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 a)))))) into a 3.668 * [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)))))) 3.668 * [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 3.668 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d 3.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 3.668 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 3.668 * [taylor]: Taking taylor expansion of (* b d) in d 3.668 * [taylor]: Taking taylor expansion of b in d 3.668 * [backup-simplify]: Simplify b into b 3.668 * [taylor]: Taking taylor expansion of d in d 3.668 * [backup-simplify]: Simplify 0 into 0 3.668 * [backup-simplify]: Simplify 1 into 1 3.668 * [backup-simplify]: Simplify (* b 0) into 0 3.669 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 3.669 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 3.669 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 3.669 * [taylor]: Taking taylor expansion of (* a c) in d 3.669 * [taylor]: Taking taylor expansion of a in d 3.669 * [backup-simplify]: Simplify a into a 3.669 * [taylor]: Taking taylor expansion of c in d 3.669 * [backup-simplify]: Simplify c into c 3.669 * [backup-simplify]: Simplify (* a c) into (* a c) 3.669 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 3.669 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d 3.669 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 3.669 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 3.669 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 3.669 * [taylor]: Taking taylor expansion of (pow c 2) in d 3.669 * [taylor]: Taking taylor expansion of c in d 3.669 * [backup-simplify]: Simplify c into c 3.669 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.669 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 3.669 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 3.669 * [taylor]: Taking taylor expansion of (pow d 2) in d 3.669 * [taylor]: Taking taylor expansion of d in d 3.669 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify 1 into 1 3.670 * [backup-simplify]: Simplify (* 1 1) into 1 3.670 * [backup-simplify]: Simplify (/ 1 1) into 1 3.671 * [backup-simplify]: Simplify (+ 0 1) into 1 3.671 * [backup-simplify]: Simplify (/ 1 1) into 1 3.672 * [backup-simplify]: Simplify (sqrt 1) into 1 3.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.674 * [backup-simplify]: Simplify (+ 0 0) into 0 3.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.675 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b 3.675 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 3.675 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 3.675 * [taylor]: Taking taylor expansion of (* b d) in b 3.675 * [taylor]: Taking taylor expansion of b in b 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify 1 into 1 3.675 * [taylor]: Taking taylor expansion of d in b 3.675 * [backup-simplify]: Simplify d into d 3.675 * [backup-simplify]: Simplify (* 0 d) into 0 3.676 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 3.676 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 3.676 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 3.676 * [taylor]: Taking taylor expansion of (* a c) in b 3.676 * [taylor]: Taking taylor expansion of a in b 3.676 * [backup-simplify]: Simplify a into a 3.676 * [taylor]: Taking taylor expansion of c in b 3.676 * [backup-simplify]: Simplify c into c 3.676 * [backup-simplify]: Simplify (* a c) into (* a c) 3.676 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 3.676 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b 3.676 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 3.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 3.676 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 3.676 * [taylor]: Taking taylor expansion of (pow c 2) in b 3.676 * [taylor]: Taking taylor expansion of c in b 3.676 * [backup-simplify]: Simplify c into c 3.676 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.676 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 3.677 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 3.677 * [taylor]: Taking taylor expansion of (pow d 2) in b 3.677 * [taylor]: Taking taylor expansion of d in b 3.677 * [backup-simplify]: Simplify d into d 3.677 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.677 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.677 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3.677 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 3.677 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 3.677 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 3.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 3.678 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.678 * [backup-simplify]: Simplify (+ 0 0) into 0 3.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.679 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c 3.679 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 3.679 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 3.679 * [taylor]: Taking taylor expansion of (* b d) in c 3.679 * [taylor]: Taking taylor expansion of b in c 3.679 * [backup-simplify]: Simplify b into b 3.679 * [taylor]: Taking taylor expansion of d in c 3.679 * [backup-simplify]: Simplify d into d 3.679 * [backup-simplify]: Simplify (* b d) into (* b d) 3.679 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.679 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 3.679 * [taylor]: Taking taylor expansion of (* a c) in c 3.679 * [taylor]: Taking taylor expansion of a in c 3.679 * [backup-simplify]: Simplify a into a 3.679 * [taylor]: Taking taylor expansion of c in c 3.679 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify 1 into 1 3.680 * [backup-simplify]: Simplify (* a 0) into 0 3.680 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 3.680 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 3.680 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 3.680 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 3.680 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 3.680 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 3.680 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.680 * [taylor]: Taking taylor expansion of c in c 3.680 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify 1 into 1 3.681 * [backup-simplify]: Simplify (* 1 1) into 1 3.681 * [backup-simplify]: Simplify (/ 1 1) into 1 3.681 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 3.681 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.681 * [taylor]: Taking taylor expansion of d in c 3.681 * [backup-simplify]: Simplify d into d 3.681 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.681 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.682 * [backup-simplify]: Simplify (+ 1 0) into 1 3.682 * [backup-simplify]: Simplify (/ 1 1) into 1 3.682 * [backup-simplify]: Simplify (sqrt 1) into 1 3.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.685 * [backup-simplify]: Simplify (+ 0 0) into 0 3.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.686 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a 3.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 3.686 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 3.686 * [taylor]: Taking taylor expansion of (* b d) in a 3.686 * [taylor]: Taking taylor expansion of b in a 3.686 * [backup-simplify]: Simplify b into b 3.686 * [taylor]: Taking taylor expansion of d in a 3.686 * [backup-simplify]: Simplify d into d 3.686 * [backup-simplify]: Simplify (* b d) into (* b d) 3.687 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.687 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 3.687 * [taylor]: Taking taylor expansion of (* a c) in a 3.687 * [taylor]: Taking taylor expansion of a in a 3.687 * [backup-simplify]: Simplify 0 into 0 3.687 * [backup-simplify]: Simplify 1 into 1 3.687 * [taylor]: Taking taylor expansion of c in a 3.687 * [backup-simplify]: Simplify c into c 3.687 * [backup-simplify]: Simplify (* 0 c) into 0 3.687 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 3.687 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 3.687 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a 3.687 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 3.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 3.687 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 3.687 * [taylor]: Taking taylor expansion of (pow c 2) in a 3.687 * [taylor]: Taking taylor expansion of c in a 3.687 * [backup-simplify]: Simplify c into c 3.688 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.688 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 3.688 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 3.688 * [taylor]: Taking taylor expansion of (pow d 2) in a 3.688 * [taylor]: Taking taylor expansion of d in a 3.688 * [backup-simplify]: Simplify d into d 3.688 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.688 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.688 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3.688 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 3.688 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 3.689 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 3.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 3.689 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.689 * [backup-simplify]: Simplify (+ 0 0) into 0 3.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.690 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a 3.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 3.690 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 3.690 * [taylor]: Taking taylor expansion of (* b d) in a 3.690 * [taylor]: Taking taylor expansion of b in a 3.690 * [backup-simplify]: Simplify b into b 3.690 * [taylor]: Taking taylor expansion of d in a 3.690 * [backup-simplify]: Simplify d into d 3.690 * [backup-simplify]: Simplify (* b d) into (* b d) 3.691 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.691 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 3.691 * [taylor]: Taking taylor expansion of (* a c) in a 3.691 * [taylor]: Taking taylor expansion of a in a 3.691 * [backup-simplify]: Simplify 0 into 0 3.691 * [backup-simplify]: Simplify 1 into 1 3.691 * [taylor]: Taking taylor expansion of c in a 3.691 * [backup-simplify]: Simplify c into c 3.691 * [backup-simplify]: Simplify (* 0 c) into 0 3.691 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 3.691 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 3.691 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a 3.691 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 3.692 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 3.692 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 3.692 * [taylor]: Taking taylor expansion of (pow c 2) in a 3.692 * [taylor]: Taking taylor expansion of c in a 3.692 * [backup-simplify]: Simplify c into c 3.692 * [backup-simplify]: Simplify (* c c) into (pow c 2) 3.692 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 3.692 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 3.692 * [taylor]: Taking taylor expansion of (pow d 2) in a 3.692 * [taylor]: Taking taylor expansion of d in a 3.692 * [backup-simplify]: Simplify d into d 3.692 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.692 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.692 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3.692 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 3.693 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 3.693 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 3.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 3.693 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.694 * [backup-simplify]: Simplify (+ 0 0) into 0 3.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.694 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 3.695 * [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)) 3.695 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c 3.695 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 3.695 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 3.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 3.695 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 3.695 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.695 * [taylor]: Taking taylor expansion of c in c 3.695 * [backup-simplify]: Simplify 0 into 0 3.695 * [backup-simplify]: Simplify 1 into 1 3.695 * [backup-simplify]: Simplify (* 1 1) into 1 3.696 * [backup-simplify]: Simplify (/ 1 1) into 1 3.696 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 3.696 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.696 * [taylor]: Taking taylor expansion of d in c 3.696 * [backup-simplify]: Simplify d into d 3.696 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.696 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.697 * [backup-simplify]: Simplify (+ 1 0) into 1 3.697 * [backup-simplify]: Simplify (/ 1 1) into 1 3.697 * [backup-simplify]: Simplify (sqrt 1) into 1 3.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.699 * [backup-simplify]: Simplify (+ 0 0) into 0 3.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.701 * [taylor]: Taking taylor expansion of (/ 1 c) in c 3.701 * [taylor]: Taking taylor expansion of c in c 3.701 * [backup-simplify]: Simplify 0 into 0 3.701 * [backup-simplify]: Simplify 1 into 1 3.701 * [backup-simplify]: Simplify (/ 1 1) into 1 3.701 * [backup-simplify]: Simplify (* 1 1) into 1 3.701 * [taylor]: Taking taylor expansion of 1 in b 3.702 * [backup-simplify]: Simplify 1 into 1 3.702 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 3.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 3.703 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 3.703 * [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)))))) 3.703 * [taylor]: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c 3.703 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 3.703 * [taylor]: Taking taylor expansion of (* b d) in c 3.703 * [taylor]: Taking taylor expansion of b in c 3.703 * [backup-simplify]: Simplify b into b 3.703 * [taylor]: Taking taylor expansion of d in c 3.703 * [backup-simplify]: Simplify d into d 3.703 * [backup-simplify]: Simplify (* b d) into (* b d) 3.703 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.703 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 3.703 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 3.703 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 3.703 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 3.703 * [taylor]: Taking taylor expansion of (pow c 2) in c 3.703 * [taylor]: Taking taylor expansion of c in c 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify 1 into 1 3.704 * [backup-simplify]: Simplify (* 1 1) into 1 3.704 * [backup-simplify]: Simplify (/ 1 1) into 1 3.704 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 3.705 * [taylor]: Taking taylor expansion of (pow d 2) in c 3.705 * [taylor]: Taking taylor expansion of d in c 3.705 * [backup-simplify]: Simplify d into d 3.705 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.705 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.705 * [backup-simplify]: Simplify (+ 1 0) into 1 3.706 * [backup-simplify]: Simplify (/ 1 1) into 1 3.706 * [backup-simplify]: Simplify (sqrt 1) into 1 3.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.708 * [backup-simplify]: Simplify (+ 0 0) into 0 3.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.711 * [taylor]: Taking taylor expansion of 0 in b 3.711 * [backup-simplify]: Simplify 0 into 0 3.711 * [taylor]: Taking taylor expansion of 1 in d 3.711 * [backup-simplify]: Simplify 1 into 1 3.711 * [backup-simplify]: Simplify 1 into 1 3.712 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 3.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 3.717 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 3.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 3.718 * [backup-simplify]: Simplify (+ 0 0) into 0 3.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.719 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.719 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 3.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 3.721 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 3.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 3.722 * [backup-simplify]: Simplify (+ 0 0) into 0 3.722 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 3.722 * [taylor]: Taking taylor expansion of 0 in c 3.722 * [backup-simplify]: Simplify 0 into 0 3.722 * [taylor]: Taking taylor expansion of 0 in b 3.722 * [backup-simplify]: Simplify 0 into 0 3.722 * [backup-simplify]: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d)) 3.722 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 3.722 * [taylor]: Taking taylor expansion of (* b d) in b 3.722 * [taylor]: Taking taylor expansion of b in b 3.722 * [backup-simplify]: Simplify 0 into 0 3.722 * [backup-simplify]: Simplify 1 into 1 3.722 * [taylor]: Taking taylor expansion of d in b 3.722 * [backup-simplify]: Simplify d into d 3.722 * [backup-simplify]: Simplify (* 0 d) into 0 3.723 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 3.723 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 3.723 * [taylor]: Taking taylor expansion of (/ 1 d) in d 3.723 * [taylor]: Taking taylor expansion of d in d 3.723 * [backup-simplify]: Simplify 0 into 0 3.723 * [backup-simplify]: Simplify 1 into 1 3.723 * [backup-simplify]: Simplify (/ 1 1) into 1 3.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.724 * [backup-simplify]: Simplify 0 into 0 3.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.727 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 3.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) 3.729 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2)) 3.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2)))) 3.730 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b 3.730 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b 3.730 * [taylor]: Taking taylor expansion of 1/2 in b 3.730 * [backup-simplify]: Simplify 1/2 into 1/2 3.730 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 3.730 * [taylor]: Taking taylor expansion of (pow d 2) in b 3.730 * [taylor]: Taking taylor expansion of d in b 3.730 * [backup-simplify]: Simplify d into d 3.731 * [backup-simplify]: Simplify (* d d) into (pow d 2) 3.731 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 3.731 * [taylor]: Taking taylor expansion of 0 in d 3.731 * [backup-simplify]: Simplify 0 into 0 3.731 * [backup-simplify]: Simplify 0 into 0 3.731 * [taylor]: Taking taylor expansion of 0 in d 3.731 * [backup-simplify]: Simplify 0 into 0 3.731 * [backup-simplify]: Simplify 0 into 0 3.731 * [backup-simplify]: Simplify 0 into 0 3.732 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 3.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 3.733 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 3.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 3.734 * [backup-simplify]: Simplify (+ 0 0) into 0 3.734 * [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 3.735 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 3.736 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 3.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 3.738 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 3.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 3.738 * [backup-simplify]: Simplify (+ 0 0) into 0 3.739 * [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 3.739 * [taylor]: Taking taylor expansion of 0 in c 3.739 * [backup-simplify]: Simplify 0 into 0 3.739 * [taylor]: Taking taylor expansion of 0 in b 3.739 * [backup-simplify]: Simplify 0 into 0 3.739 * [taylor]: Taking taylor expansion of 0 in b 3.739 * [backup-simplify]: Simplify 0 into 0 3.739 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 3.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 3.740 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0 3.740 * [taylor]: Taking taylor expansion of 0 in b 3.740 * [backup-simplify]: Simplify 0 into 0 3.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.743 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 3.743 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 3.744 * [backup-simplify]: Simplify (+ 0 0) into 0 3.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 3.746 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0 3.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0 3.747 * [taylor]: Taking taylor expansion of 0 in b 3.747 * [backup-simplify]: Simplify 0 into 0 3.747 * [taylor]: Taking taylor expansion of 0 in d 3.747 * [backup-simplify]: Simplify 0 into 0 3.747 * [backup-simplify]: Simplify 0 into 0 3.748 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 3.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 3.748 * [taylor]: Taking taylor expansion of 0 in d 3.748 * [backup-simplify]: Simplify 0 into 0 3.748 * [backup-simplify]: Simplify 0 into 0 3.749 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- a))))))) into (* -1 a) 3.749 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 3.749 * [backup-simplify]: Simplify (+ (* a c) (* b d)) into (+ (* a c) (* b d)) 3.749 * [approximate]: Taking taylor expansion of (+ (* a c) (* b d)) in (a c b d) around 0 3.749 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d 3.749 * [taylor]: Taking taylor expansion of (* a c) in d 3.749 * [taylor]: Taking taylor expansion of a in d 3.749 * [backup-simplify]: Simplify a into a 3.749 * [taylor]: Taking taylor expansion of c in d 3.749 * [backup-simplify]: Simplify c into c 3.749 * [taylor]: Taking taylor expansion of (* b d) in d 3.749 * [taylor]: Taking taylor expansion of b in d 3.749 * [backup-simplify]: Simplify b into b 3.749 * [taylor]: Taking taylor expansion of d in d 3.749 * [backup-simplify]: Simplify 0 into 0 3.749 * [backup-simplify]: Simplify 1 into 1 3.749 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b 3.749 * [taylor]: Taking taylor expansion of (* a c) in b 3.749 * [taylor]: Taking taylor expansion of a in b 3.749 * [backup-simplify]: Simplify a into a 3.749 * [taylor]: Taking taylor expansion of c in b 3.750 * [backup-simplify]: Simplify c into c 3.750 * [taylor]: Taking taylor expansion of (* b d) in b 3.750 * [taylor]: Taking taylor expansion of b in b 3.750 * [backup-simplify]: Simplify 0 into 0 3.750 * [backup-simplify]: Simplify 1 into 1 3.750 * [taylor]: Taking taylor expansion of d in b 3.750 * [backup-simplify]: Simplify d into d 3.750 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c 3.750 * [taylor]: Taking taylor expansion of (* a c) in c 3.750 * [taylor]: Taking taylor expansion of a in c 3.750 * [backup-simplify]: Simplify a into a 3.750 * [taylor]: Taking taylor expansion of c in c 3.750 * [backup-simplify]: Simplify 0 into 0 3.750 * [backup-simplify]: Simplify 1 into 1 3.750 * [taylor]: Taking taylor expansion of (* b d) in c 3.750 * [taylor]: Taking taylor expansion of b in c 3.750 * [backup-simplify]: Simplify b into b 3.750 * [taylor]: Taking taylor expansion of d in c 3.750 * [backup-simplify]: Simplify d into d 3.750 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 3.750 * [taylor]: Taking taylor expansion of (* a c) in a 3.750 * [taylor]: Taking taylor expansion of a in a 3.750 * [backup-simplify]: Simplify 0 into 0 3.750 * [backup-simplify]: Simplify 1 into 1 3.750 * [taylor]: Taking taylor expansion of c in a 3.750 * [backup-simplify]: Simplify c into c 3.750 * [taylor]: Taking taylor expansion of (* b d) in a 3.750 * [taylor]: Taking taylor expansion of b in a 3.750 * [backup-simplify]: Simplify b into b 3.750 * [taylor]: Taking taylor expansion of d in a 3.750 * [backup-simplify]: Simplify d into d 3.750 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 3.750 * [taylor]: Taking taylor expansion of (* a c) in a 3.750 * [taylor]: Taking taylor expansion of a in a 3.750 * [backup-simplify]: Simplify 0 into 0 3.750 * [backup-simplify]: Simplify 1 into 1 3.751 * [taylor]: Taking taylor expansion of c in a 3.751 * [backup-simplify]: Simplify c into c 3.751 * [taylor]: Taking taylor expansion of (* b d) in a 3.751 * [taylor]: Taking taylor expansion of b in a 3.751 * [backup-simplify]: Simplify b into b 3.751 * [taylor]: Taking taylor expansion of d in a 3.751 * [backup-simplify]: Simplify d into d 3.751 * [backup-simplify]: Simplify (* 0 c) into 0 3.751 * [backup-simplify]: Simplify (* b d) into (* b d) 3.751 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 3.751 * [taylor]: Taking taylor expansion of (* b d) in c 3.751 * [taylor]: Taking taylor expansion of b in c 3.751 * [backup-simplify]: Simplify b into b 3.751 * [taylor]: Taking taylor expansion of d in c 3.751 * [backup-simplify]: Simplify d into d 3.751 * [backup-simplify]: Simplify (* b d) into (* b d) 3.751 * [taylor]: Taking taylor expansion of (* b d) in b 3.751 * [taylor]: Taking taylor expansion of b in b 3.751 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify 1 into 1 3.751 * [taylor]: Taking taylor expansion of d in b 3.751 * [backup-simplify]: Simplify d into d 3.751 * [backup-simplify]: Simplify (* 0 d) into 0 3.751 * [taylor]: Taking taylor expansion of 0 in d 3.751 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify 0 into 0 3.752 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 3.752 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 3.752 * [backup-simplify]: Simplify (+ c 0) into c 3.752 * [taylor]: Taking taylor expansion of c in c 3.752 * [backup-simplify]: Simplify 0 into 0 3.752 * [backup-simplify]: Simplify 1 into 1 3.752 * [taylor]: Taking taylor expansion of 0 in b 3.752 * [backup-simplify]: Simplify 0 into 0 3.752 * [taylor]: Taking taylor expansion of 0 in d 3.752 * [backup-simplify]: Simplify 0 into 0 3.752 * [backup-simplify]: Simplify 0 into 0 3.753 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 3.753 * [taylor]: Taking taylor expansion of 0 in b 3.753 * [backup-simplify]: Simplify 0 into 0 3.753 * [taylor]: Taking taylor expansion of 0 in d 3.753 * [backup-simplify]: Simplify 0 into 0 3.753 * [backup-simplify]: Simplify 0 into 0 3.753 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 3.753 * [taylor]: Taking taylor expansion of d in d 3.753 * [backup-simplify]: Simplify 0 into 0 3.753 * [backup-simplify]: Simplify 1 into 1 3.753 * [backup-simplify]: Simplify 0 into 0 3.753 * [backup-simplify]: Simplify 0 into 0 3.754 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 3.755 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 3.755 * [backup-simplify]: Simplify (+ 0 0) into 0 3.755 * [taylor]: Taking taylor expansion of 0 in c 3.755 * [backup-simplify]: Simplify 0 into 0 3.755 * [taylor]: Taking taylor expansion of 0 in b 3.755 * [backup-simplify]: Simplify 0 into 0 3.755 * [taylor]: Taking taylor expansion of 0 in d 3.755 * [backup-simplify]: Simplify 0 into 0 3.755 * [backup-simplify]: Simplify 0 into 0 3.755 * [backup-simplify]: Simplify 0 into 0 3.756 * [backup-simplify]: Simplify (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) into (+ (/ 1 (* b d)) (/ 1 (* a c))) 3.756 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0 3.756 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 3.756 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 3.756 * [taylor]: Taking taylor expansion of (* b d) in d 3.756 * [taylor]: Taking taylor expansion of b in d 3.756 * [backup-simplify]: Simplify b into b 3.756 * [taylor]: Taking taylor expansion of d in d 3.756 * [backup-simplify]: Simplify 0 into 0 3.756 * [backup-simplify]: Simplify 1 into 1 3.756 * [backup-simplify]: Simplify (* b 0) into 0 3.756 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 3.756 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 3.756 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 3.757 * [taylor]: Taking taylor expansion of (* a c) in d 3.757 * [taylor]: Taking taylor expansion of a in d 3.757 * [backup-simplify]: Simplify a into a 3.757 * [taylor]: Taking taylor expansion of c in d 3.757 * [backup-simplify]: Simplify c into c 3.757 * [backup-simplify]: Simplify (* a c) into (* a c) 3.757 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 3.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 3.757 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 3.757 * [taylor]: Taking taylor expansion of (* b d) in b 3.757 * [taylor]: Taking taylor expansion of b in b 3.757 * [backup-simplify]: Simplify 0 into 0 3.757 * [backup-simplify]: Simplify 1 into 1 3.757 * [taylor]: Taking taylor expansion of d in b 3.757 * [backup-simplify]: Simplify d into d 3.757 * [backup-simplify]: Simplify (* 0 d) into 0 3.757 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 3.758 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 3.758 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 3.758 * [taylor]: Taking taylor expansion of (* a c) in b 3.758 * [taylor]: Taking taylor expansion of a in b 3.758 * [backup-simplify]: Simplify a into a 3.758 * [taylor]: Taking taylor expansion of c in b 3.758 * [backup-simplify]: Simplify c into c 3.758 * [backup-simplify]: Simplify (* a c) into (* a c) 3.758 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 3.758 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 3.758 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 3.758 * [taylor]: Taking taylor expansion of (* b d) in c 3.758 * [taylor]: Taking taylor expansion of b in c 3.758 * [backup-simplify]: Simplify b into b 3.758 * [taylor]: Taking taylor expansion of d in c 3.758 * [backup-simplify]: Simplify d into d 3.758 * [backup-simplify]: Simplify (* b d) into (* b d) 3.758 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.758 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 3.758 * [taylor]: Taking taylor expansion of (* a c) in c 3.758 * [taylor]: Taking taylor expansion of a in c 3.758 * [backup-simplify]: Simplify a into a 3.758 * [taylor]: Taking taylor expansion of c in c 3.758 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify 1 into 1 3.758 * [backup-simplify]: Simplify (* a 0) into 0 3.759 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 3.759 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 3.759 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 3.759 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 3.759 * [taylor]: Taking taylor expansion of (* b d) in a 3.759 * [taylor]: Taking taylor expansion of b in a 3.759 * [backup-simplify]: Simplify b into b 3.759 * [taylor]: Taking taylor expansion of d in a 3.759 * [backup-simplify]: Simplify d into d 3.759 * [backup-simplify]: Simplify (* b d) into (* b d) 3.759 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.759 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 3.759 * [taylor]: Taking taylor expansion of (* a c) in a 3.759 * [taylor]: Taking taylor expansion of a in a 3.759 * [backup-simplify]: Simplify 0 into 0 3.760 * [backup-simplify]: Simplify 1 into 1 3.760 * [taylor]: Taking taylor expansion of c in a 3.760 * [backup-simplify]: Simplify c into c 3.760 * [backup-simplify]: Simplify (* 0 c) into 0 3.760 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 3.760 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 3.760 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 3.760 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 3.760 * [taylor]: Taking taylor expansion of (* b d) in a 3.760 * [taylor]: Taking taylor expansion of b in a 3.760 * [backup-simplify]: Simplify b into b 3.760 * [taylor]: Taking taylor expansion of d in a 3.760 * [backup-simplify]: Simplify d into d 3.760 * [backup-simplify]: Simplify (* b d) into (* b d) 3.760 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.760 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 3.760 * [taylor]: Taking taylor expansion of (* a c) in a 3.760 * [taylor]: Taking taylor expansion of a in a 3.761 * [backup-simplify]: Simplify 0 into 0 3.761 * [backup-simplify]: Simplify 1 into 1 3.761 * [taylor]: Taking taylor expansion of c in a 3.761 * [backup-simplify]: Simplify c into c 3.761 * [backup-simplify]: Simplify (* 0 c) into 0 3.761 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 3.761 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 3.761 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 3.761 * [taylor]: Taking taylor expansion of (/ 1 c) in c 3.761 * [taylor]: Taking taylor expansion of c in c 3.761 * [backup-simplify]: Simplify 0 into 0 3.761 * [backup-simplify]: Simplify 1 into 1 3.762 * [backup-simplify]: Simplify (/ 1 1) into 1 3.762 * [taylor]: Taking taylor expansion of 1 in b 3.762 * [backup-simplify]: Simplify 1 into 1 3.763 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 3.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 3.763 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 3.763 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 3.763 * [taylor]: Taking taylor expansion of (* b d) in c 3.763 * [taylor]: Taking taylor expansion of b in c 3.763 * [backup-simplify]: Simplify b into b 3.763 * [taylor]: Taking taylor expansion of d in c 3.763 * [backup-simplify]: Simplify d into d 3.763 * [backup-simplify]: Simplify (* b d) into (* b d) 3.763 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.764 * [taylor]: Taking taylor expansion of 0 in b 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [taylor]: Taking taylor expansion of 1 in d 3.764 * [backup-simplify]: Simplify 1 into 1 3.764 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 3.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 3.766 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 3.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 3.766 * [backup-simplify]: Simplify (+ 0 0) into 0 3.766 * [taylor]: Taking taylor expansion of 0 in c 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 3.766 * [taylor]: Taking taylor expansion of (* b d) in b 3.766 * [taylor]: Taking taylor expansion of b in b 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify 1 into 1 3.766 * [taylor]: Taking taylor expansion of d in b 3.766 * [backup-simplify]: Simplify d into d 3.766 * [backup-simplify]: Simplify (* 0 d) into 0 3.767 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 3.767 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 3.767 * [taylor]: Taking taylor expansion of (/ 1 d) in d 3.767 * [taylor]: Taking taylor expansion of d in d 3.767 * [backup-simplify]: Simplify 0 into 0 3.767 * [backup-simplify]: Simplify 1 into 1 3.767 * [backup-simplify]: Simplify (/ 1 1) into 1 3.767 * [backup-simplify]: Simplify 1 into 1 3.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.768 * [taylor]: Taking taylor expansion of 0 in b 3.768 * [backup-simplify]: Simplify 0 into 0 3.769 * [taylor]: Taking taylor expansion of 0 in d 3.769 * [backup-simplify]: Simplify 0 into 0 3.769 * [taylor]: Taking taylor expansion of 0 in d 3.769 * [backup-simplify]: Simplify 0 into 0 3.769 * [backup-simplify]: Simplify 1 into 1 3.769 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 3.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 3.771 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 3.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 3.772 * [backup-simplify]: Simplify (+ 0 0) into 0 3.772 * [taylor]: Taking taylor expansion of 0 in c 3.772 * [backup-simplify]: Simplify 0 into 0 3.772 * [taylor]: Taking taylor expansion of 0 in b 3.772 * [backup-simplify]: Simplify 0 into 0 3.772 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 3.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 3.772 * [taylor]: Taking taylor expansion of 0 in b 3.772 * [backup-simplify]: Simplify 0 into 0 3.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.773 * [taylor]: Taking taylor expansion of 0 in b 3.773 * [backup-simplify]: Simplify 0 into 0 3.774 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 3.774 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 3.774 * [taylor]: Taking taylor expansion of 0 in d 3.774 * [backup-simplify]: Simplify 0 into 0 3.774 * [taylor]: Taking taylor expansion of 0 in d 3.774 * [backup-simplify]: Simplify 0 into 0 3.774 * [taylor]: Taking taylor expansion of 0 in d 3.774 * [backup-simplify]: Simplify 0 into 0 3.774 * [taylor]: Taking taylor expansion of 0 in d 3.774 * [backup-simplify]: Simplify 0 into 0 3.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.775 * [backup-simplify]: Simplify 0 into 0 3.775 * [backup-simplify]: Simplify 0 into 0 3.775 * [backup-simplify]: Simplify 0 into 0 3.775 * [backup-simplify]: Simplify 0 into 0 3.776 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 3.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 3.778 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0 3.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 3.779 * [backup-simplify]: Simplify (+ 0 0) into 0 3.779 * [taylor]: Taking taylor expansion of 0 in c 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [taylor]: Taking taylor expansion of 0 in b 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [taylor]: Taking taylor expansion of 0 in b 3.779 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 3.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 3.780 * [taylor]: Taking taylor expansion of 0 in b 3.780 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.781 * [taylor]: Taking taylor expansion of 0 in b 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [taylor]: Taking taylor expansion of 0 in d 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [taylor]: Taking taylor expansion of 0 in d 3.781 * [backup-simplify]: Simplify 0 into 0 3.782 * [taylor]: Taking taylor expansion of 0 in d 3.782 * [backup-simplify]: Simplify 0 into 0 3.783 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 3.783 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 3.783 * [taylor]: Taking taylor expansion of 0 in d 3.783 * [backup-simplify]: Simplify 0 into 0 3.783 * [taylor]: Taking taylor expansion of 0 in d 3.783 * [backup-simplify]: Simplify 0 into 0 3.783 * [taylor]: Taking taylor expansion of 0 in d 3.783 * [backup-simplify]: Simplify 0 into 0 3.783 * [taylor]: Taking taylor expansion of 0 in d 3.783 * [backup-simplify]: Simplify 0 into 0 3.783 * [backup-simplify]: Simplify 0 into 0 3.783 * [backup-simplify]: Simplify 0 into 0 3.784 * [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)) 3.784 * [backup-simplify]: Simplify (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) into (+ (/ 1 (* b d)) (/ 1 (* a c))) 3.784 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0 3.784 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 3.784 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 3.784 * [taylor]: Taking taylor expansion of (* b d) in d 3.784 * [taylor]: Taking taylor expansion of b in d 3.785 * [backup-simplify]: Simplify b into b 3.785 * [taylor]: Taking taylor expansion of d in d 3.785 * [backup-simplify]: Simplify 0 into 0 3.785 * [backup-simplify]: Simplify 1 into 1 3.785 * [backup-simplify]: Simplify (* b 0) into 0 3.785 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 3.785 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 3.785 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 3.785 * [taylor]: Taking taylor expansion of (* a c) in d 3.785 * [taylor]: Taking taylor expansion of a in d 3.785 * [backup-simplify]: Simplify a into a 3.785 * [taylor]: Taking taylor expansion of c in d 3.785 * [backup-simplify]: Simplify c into c 3.785 * [backup-simplify]: Simplify (* a c) into (* a c) 3.785 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 3.785 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 3.785 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 3.785 * [taylor]: Taking taylor expansion of (* b d) in b 3.786 * [taylor]: Taking taylor expansion of b in b 3.786 * [backup-simplify]: Simplify 0 into 0 3.786 * [backup-simplify]: Simplify 1 into 1 3.786 * [taylor]: Taking taylor expansion of d in b 3.786 * [backup-simplify]: Simplify d into d 3.786 * [backup-simplify]: Simplify (* 0 d) into 0 3.786 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 3.786 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 3.786 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 3.786 * [taylor]: Taking taylor expansion of (* a c) in b 3.786 * [taylor]: Taking taylor expansion of a in b 3.786 * [backup-simplify]: Simplify a into a 3.786 * [taylor]: Taking taylor expansion of c in b 3.786 * [backup-simplify]: Simplify c into c 3.786 * [backup-simplify]: Simplify (* a c) into (* a c) 3.786 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 3.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 3.787 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 3.787 * [taylor]: Taking taylor expansion of (* b d) in c 3.787 * [taylor]: Taking taylor expansion of b in c 3.787 * [backup-simplify]: Simplify b into b 3.787 * [taylor]: Taking taylor expansion of d in c 3.787 * [backup-simplify]: Simplify d into d 3.787 * [backup-simplify]: Simplify (* b d) into (* b d) 3.787 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.787 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 3.787 * [taylor]: Taking taylor expansion of (* a c) in c 3.787 * [taylor]: Taking taylor expansion of a in c 3.787 * [backup-simplify]: Simplify a into a 3.787 * [taylor]: Taking taylor expansion of c in c 3.787 * [backup-simplify]: Simplify 0 into 0 3.787 * [backup-simplify]: Simplify 1 into 1 3.787 * [backup-simplify]: Simplify (* a 0) into 0 3.787 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 3.787 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 3.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 3.788 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 3.788 * [taylor]: Taking taylor expansion of (* b d) in a 3.788 * [taylor]: Taking taylor expansion of b in a 3.788 * [backup-simplify]: Simplify b into b 3.788 * [taylor]: Taking taylor expansion of d in a 3.788 * [backup-simplify]: Simplify d into d 3.788 * [backup-simplify]: Simplify (* b d) into (* b d) 3.788 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.788 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 3.788 * [taylor]: Taking taylor expansion of (* a c) in a 3.788 * [taylor]: Taking taylor expansion of a in a 3.788 * [backup-simplify]: Simplify 0 into 0 3.788 * [backup-simplify]: Simplify 1 into 1 3.788 * [taylor]: Taking taylor expansion of c in a 3.788 * [backup-simplify]: Simplify c into c 3.788 * [backup-simplify]: Simplify (* 0 c) into 0 3.788 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 3.789 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 3.789 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 3.789 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 3.789 * [taylor]: Taking taylor expansion of (* b d) in a 3.789 * [taylor]: Taking taylor expansion of b in a 3.789 * [backup-simplify]: Simplify b into b 3.789 * [taylor]: Taking taylor expansion of d in a 3.789 * [backup-simplify]: Simplify d into d 3.789 * [backup-simplify]: Simplify (* b d) into (* b d) 3.789 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.789 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 3.789 * [taylor]: Taking taylor expansion of (* a c) in a 3.789 * [taylor]: Taking taylor expansion of a in a 3.789 * [backup-simplify]: Simplify 0 into 0 3.789 * [backup-simplify]: Simplify 1 into 1 3.789 * [taylor]: Taking taylor expansion of c in a 3.789 * [backup-simplify]: Simplify c into c 3.789 * [backup-simplify]: Simplify (* 0 c) into 0 3.789 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 3.790 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 3.790 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 3.790 * [taylor]: Taking taylor expansion of (/ 1 c) in c 3.790 * [taylor]: Taking taylor expansion of c in c 3.790 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify 1 into 1 3.790 * [backup-simplify]: Simplify (/ 1 1) into 1 3.790 * [taylor]: Taking taylor expansion of 1 in b 3.790 * [backup-simplify]: Simplify 1 into 1 3.791 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 3.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 3.791 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 3.791 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 3.791 * [taylor]: Taking taylor expansion of (* b d) in c 3.791 * [taylor]: Taking taylor expansion of b in c 3.792 * [backup-simplify]: Simplify b into b 3.792 * [taylor]: Taking taylor expansion of d in c 3.792 * [backup-simplify]: Simplify d into d 3.792 * [backup-simplify]: Simplify (* b d) into (* b d) 3.792 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 3.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.792 * [taylor]: Taking taylor expansion of 0 in b 3.793 * [backup-simplify]: Simplify 0 into 0 3.793 * [taylor]: Taking taylor expansion of 1 in d 3.793 * [backup-simplify]: Simplify 1 into 1 3.793 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 3.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 3.794 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 3.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 3.795 * [backup-simplify]: Simplify (+ 0 0) into 0 3.795 * [taylor]: Taking taylor expansion of 0 in c 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 3.795 * [taylor]: Taking taylor expansion of (* b d) in b 3.795 * [taylor]: Taking taylor expansion of b in b 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify 1 into 1 3.795 * [taylor]: Taking taylor expansion of d in b 3.795 * [backup-simplify]: Simplify d into d 3.795 * [backup-simplify]: Simplify (* 0 d) into 0 3.795 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 3.795 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 3.795 * [taylor]: Taking taylor expansion of (/ 1 d) in d 3.795 * [taylor]: Taking taylor expansion of d in d 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify 1 into 1 3.796 * [backup-simplify]: Simplify (/ 1 1) into 1 3.796 * [backup-simplify]: Simplify 1 into 1 3.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.797 * [taylor]: Taking taylor expansion of 0 in b 3.797 * [backup-simplify]: Simplify 0 into 0 3.797 * [taylor]: Taking taylor expansion of 0 in d 3.797 * [backup-simplify]: Simplify 0 into 0 3.797 * [taylor]: Taking taylor expansion of 0 in d 3.797 * [backup-simplify]: Simplify 0 into 0 3.797 * [backup-simplify]: Simplify 1 into 1 3.798 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 3.798 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 3.800 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 3.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 3.800 * [backup-simplify]: Simplify (+ 0 0) into 0 3.800 * [taylor]: Taking taylor expansion of 0 in c 3.800 * [backup-simplify]: Simplify 0 into 0 3.800 * [taylor]: Taking taylor expansion of 0 in b 3.800 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 3.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 3.801 * [taylor]: Taking taylor expansion of 0 in b 3.801 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.802 * [taylor]: Taking taylor expansion of 0 in b 3.802 * [backup-simplify]: Simplify 0 into 0 3.803 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 3.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 3.803 * [taylor]: Taking taylor expansion of 0 in d 3.803 * [backup-simplify]: Simplify 0 into 0 3.803 * [taylor]: Taking taylor expansion of 0 in d 3.803 * [backup-simplify]: Simplify 0 into 0 3.803 * [taylor]: Taking taylor expansion of 0 in d 3.803 * [backup-simplify]: Simplify 0 into 0 3.803 * [taylor]: Taking taylor expansion of 0 in d 3.803 * [backup-simplify]: Simplify 0 into 0 3.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.804 * [backup-simplify]: Simplify 0 into 0 3.804 * [backup-simplify]: Simplify 0 into 0 3.804 * [backup-simplify]: Simplify 0 into 0 3.804 * [backup-simplify]: Simplify 0 into 0 3.805 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 3.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 3.807 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0 3.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 3.807 * [backup-simplify]: Simplify (+ 0 0) into 0 3.807 * [taylor]: Taking taylor expansion of 0 in c 3.807 * [backup-simplify]: Simplify 0 into 0 3.808 * [taylor]: Taking taylor expansion of 0 in b 3.808 * [backup-simplify]: Simplify 0 into 0 3.808 * [taylor]: Taking taylor expansion of 0 in b 3.808 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 3.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 3.808 * [taylor]: Taking taylor expansion of 0 in b 3.808 * [backup-simplify]: Simplify 0 into 0 3.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.809 * [taylor]: Taking taylor expansion of 0 in b 3.809 * [backup-simplify]: Simplify 0 into 0 3.809 * [taylor]: Taking taylor expansion of 0 in d 3.809 * [backup-simplify]: Simplify 0 into 0 3.810 * [taylor]: Taking taylor expansion of 0 in d 3.810 * [backup-simplify]: Simplify 0 into 0 3.810 * [taylor]: Taking taylor expansion of 0 in d 3.810 * [backup-simplify]: Simplify 0 into 0 3.811 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 3.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 3.811 * [taylor]: Taking taylor expansion of 0 in d 3.811 * [backup-simplify]: Simplify 0 into 0 3.811 * [taylor]: Taking taylor expansion of 0 in d 3.811 * [backup-simplify]: Simplify 0 into 0 3.811 * [taylor]: Taking taylor expansion of 0 in d 3.811 * [backup-simplify]: Simplify 0 into 0 3.811 * [taylor]: Taking taylor expansion of 0 in d 3.812 * [backup-simplify]: Simplify 0 into 0 3.812 * [backup-simplify]: Simplify 0 into 0 3.812 * [backup-simplify]: Simplify 0 into 0 3.812 * [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)) 3.813 * * * [progress]: simplifying candidates 3.813 * * * * [progress]: [ 1 / 100 ] simplifiying candidate # 3.813 * * * * [progress]: [ 2 / 100 ] simplifiying candidate # 3.813 * * * * [progress]: [ 3 / 100 ] simplifiying candidate # 3.813 * * * * [progress]: [ 4 / 100 ] simplifiying candidate # 3.813 * * * * [progress]: [ 5 / 100 ] simplifiying candidate # 3.813 * * * * [progress]: [ 6 / 100 ] simplifiying candidate # 3.813 * * * * [progress]: [ 7 / 100 ] simplifiying candidate # 3.813 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 3.814 * * [simplify]: iters left: 6 (8 enodes) 3.817 * * [simplify]: iters left: 5 (26 enodes) 3.824 * * [simplify]: Extracting #0: cost 1 inf + 0 3.824 * * [simplify]: Extracting #1: cost 4 inf + 0 3.824 * * [simplify]: Extracting #2: cost 7 inf + 0 3.824 * * [simplify]: Extracting #3: cost 10 inf + 0 3.824 * * [simplify]: Extracting #4: cost 14 inf + 0 3.824 * * [simplify]: Extracting #5: cost 10 inf + 84 3.824 * * [simplify]: Extracting #6: cost 8 inf + 166 3.825 * * [simplify]: Extracting #7: cost 4 inf + 854 3.825 * * [simplify]: Extracting #8: cost 1 inf + 1540 3.826 * * [simplify]: Extracting #9: cost 0 inf + 1782 3.826 * [simplify]: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) 3.826 * [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))))))) 3.827 * * * * [progress]: [ 8 / 100 ] simplifiying candidate # 3.827 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) 3.827 * * [simplify]: iters left: 6 (7 enodes) 3.830 * * [simplify]: iters left: 5 (22 enodes) 3.836 * * [simplify]: Extracting #0: cost 1 inf + 0 3.836 * * [simplify]: Extracting #1: cost 3 inf + 0 3.836 * * [simplify]: Extracting #2: cost 5 inf + 0 3.836 * * [simplify]: Extracting #3: cost 8 inf + 0 3.836 * * [simplify]: Extracting #4: cost 12 inf + 0 3.836 * * [simplify]: Extracting #5: cost 10 inf + 2 3.837 * * [simplify]: Extracting #6: cost 1 inf + 936 3.837 * * [simplify]: Extracting #7: cost 0 inf + 1138 3.837 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) 3.838 * [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))))))) 3.838 * * * * [progress]: [ 9 / 100 ] simplifiying candidate # 3.838 * [simplify]: Simplifying (sqrt 1) 3.838 * * [simplify]: iters left: 1 (2 enodes) 3.841 * * [simplify]: Extracting #0: cost 1 inf + 0 3.841 * * [simplify]: Extracting #1: cost 0 inf + 1 3.841 * [simplify]: Simplified to 1 3.841 * [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)))))) 3.841 * * * * [progress]: [ 10 / 100 ] simplifiying candidate # 3.842 * [simplify]: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) 3.842 * * [simplify]: iters left: 6 (9 enodes) 3.847 * * [simplify]: iters left: 5 (45 enodes) 3.867 * * [simplify]: iters left: 4 (100 enodes) 3.914 * * [simplify]: iters left: 3 (201 enodes) 3.985 * * [simplify]: iters left: 2 (406 enodes) 4.149 * * [simplify]: Extracting #0: cost 1 inf + 0 4.149 * * [simplify]: Extracting #1: cost 3 inf + 0 4.149 * * [simplify]: Extracting #2: cost 6 inf + 0 4.149 * * [simplify]: Extracting #3: cost 62 inf + 0 4.150 * * [simplify]: Extracting #4: cost 166 inf + 460 4.152 * * [simplify]: Extracting #5: cost 131 inf + 12951 4.156 * * [simplify]: Extracting #6: cost 49 inf + 45746 4.161 * * [simplify]: Extracting #7: cost 1 inf + 66256 4.167 * * [simplify]: Extracting #8: cost 0 inf + 65919 4.172 * [simplify]: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) 4.172 * [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)))))))) 4.172 * * * * [progress]: [ 11 / 100 ] simplifiying candidate # 4.173 * [simplify]: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) 4.173 * * [simplify]: iters left: 6 (8 enodes) 4.175 * * [simplify]: iters left: 5 (37 enodes) 4.185 * * [simplify]: iters left: 4 (67 enodes) 4.211 * * [simplify]: iters left: 3 (123 enodes) 4.258 * * [simplify]: iters left: 2 (278 enodes) 4.386 * * [simplify]: Extracting #0: cost 1 inf + 0 4.386 * * [simplify]: Extracting #1: cost 3 inf + 0 4.386 * * [simplify]: Extracting #2: cost 50 inf + 0 4.387 * * [simplify]: Extracting #3: cost 150 inf + 0 4.389 * * [simplify]: Extracting #4: cost 194 inf + 1180 4.394 * * [simplify]: Extracting #5: cost 123 inf + 12421 4.404 * * [simplify]: Extracting #6: cost 12 inf + 33804 4.412 * * [simplify]: Extracting #7: cost 0 inf + 36129 4.420 * [simplify]: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) 4.420 * [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)))))) 4.420 * * * * [progress]: [ 12 / 100 ] simplifiying candidate # 4.420 * [simplify]: Simplifying (+ (* c c) (* d d)) 4.420 * * [simplify]: iters left: 4 (5 enodes) 4.422 * * [simplify]: iters left: 3 (16 enodes) 4.425 * * [simplify]: Extracting #0: cost 1 inf + 0 4.425 * * [simplify]: Extracting #1: cost 4 inf + 0 4.425 * * [simplify]: Extracting #2: cost 8 inf + 0 4.426 * * [simplify]: Extracting #3: cost 4 inf + 84 4.426 * * [simplify]: Extracting #4: cost 0 inf + 410 4.426 * [simplify]: Simplified to (+ (* c c) (* d d)) 4.426 * [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)))) 4.426 * * * * [progress]: [ 13 / 100 ] simplifiying candidate # 4.426 * * * * [progress]: [ 14 / 100 ] simplifiying candidate # 4.427 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d))) 4.427 * * [simplify]: iters left: 5 (6 enodes) 4.429 * * [simplify]: iters left: 4 (19 enodes) 4.434 * * [simplify]: Extracting #0: cost 1 inf + 0 4.434 * * [simplify]: Extracting #1: cost 3 inf + 0 4.434 * * [simplify]: Extracting #2: cost 6 inf + 0 4.434 * * [simplify]: Extracting #3: cost 10 inf + 0 4.435 * * [simplify]: Extracting #4: cost 6 inf + 84 4.435 * * [simplify]: Extracting #5: cost 0 inf + 734 4.435 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d))) 4.435 * [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)))))) 4.435 * * * * [progress]: [ 15 / 100 ] simplifiying candidate # 4.435 * * * * [progress]: [ 16 / 100 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* c c) (* d d)))))))> 4.435 * * * * [progress]: [ 17 / 100 ] simplifiying candidate # 4.436 * * * * [progress]: [ 18 / 100 ] simplifiying candidate # 4.436 * * * * [progress]: [ 19 / 100 ] simplifiying candidate # 4.436 * * * * [progress]: [ 20 / 100 ] simplifiying candidate # 4.436 * * * * [progress]: [ 21 / 100 ] simplifiying candidate # 4.436 * * * * [progress]: [ 22 / 100 ] simplifiying candidate # 4.436 * * * * [progress]: [ 23 / 100 ] simplifiying candidate # 4.436 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 4.436 * * [simplify]: iters left: 6 (8 enodes) 4.439 * * [simplify]: iters left: 5 (26 enodes) 4.442 * * [simplify]: Extracting #0: cost 1 inf + 0 4.443 * * [simplify]: Extracting #1: cost 4 inf + 0 4.443 * * [simplify]: Extracting #2: cost 7 inf + 0 4.443 * * [simplify]: Extracting #3: cost 10 inf + 0 4.443 * * [simplify]: Extracting #4: cost 14 inf + 0 4.443 * * [simplify]: Extracting #5: cost 10 inf + 84 4.443 * * [simplify]: Extracting #6: cost 8 inf + 166 4.443 * * [simplify]: Extracting #7: cost 4 inf + 854 4.443 * * [simplify]: Extracting #8: cost 1 inf + 1540 4.443 * * [simplify]: Extracting #9: cost 0 inf + 1782 4.444 * [simplify]: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) 4.444 * [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))))) 4.444 * * * * [progress]: [ 24 / 100 ] simplifiying candidate # 4.444 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) 4.444 * * [simplify]: iters left: 6 (7 enodes) 4.446 * * [simplify]: iters left: 5 (22 enodes) 4.449 * * [simplify]: Extracting #0: cost 1 inf + 0 4.449 * * [simplify]: Extracting #1: cost 3 inf + 0 4.449 * * [simplify]: Extracting #2: cost 5 inf + 0 4.449 * * [simplify]: Extracting #3: cost 8 inf + 0 4.449 * * [simplify]: Extracting #4: cost 12 inf + 0 4.449 * * [simplify]: Extracting #5: cost 10 inf + 2 4.449 * * [simplify]: Extracting #6: cost 1 inf + 936 4.449 * * [simplify]: Extracting #7: cost 0 inf + 1138 4.449 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) 4.449 * [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))))) 4.450 * * * * [progress]: [ 25 / 100 ] simplifiying candidate # 4.450 * [simplify]: Simplifying (sqrt 1) 4.450 * * [simplify]: iters left: 1 (2 enodes) 4.452 * * [simplify]: Extracting #0: cost 1 inf + 0 4.452 * * [simplify]: Extracting #1: cost 0 inf + 1 4.452 * [simplify]: Simplified to 1 4.452 * [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))))) 4.452 * * * * [progress]: [ 26 / 100 ] simplifiying candidate # 4.452 * [simplify]: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) 4.452 * * [simplify]: iters left: 6 (9 enodes) 4.455 * * [simplify]: iters left: 5 (45 enodes) 4.468 * * [simplify]: iters left: 4 (100 enodes) 4.516 * * [simplify]: iters left: 3 (201 enodes) 4.588 * * [simplify]: iters left: 2 (406 enodes) 5.109 * * [simplify]: Extracting #0: cost 1 inf + 0 5.109 * * [simplify]: Extracting #1: cost 3 inf + 0 5.109 * * [simplify]: Extracting #2: cost 6 inf + 0 5.109 * * [simplify]: Extracting #3: cost 62 inf + 0 5.110 * * [simplify]: Extracting #4: cost 166 inf + 460 5.113 * * [simplify]: Extracting #5: cost 131 inf + 12951 5.121 * * [simplify]: Extracting #6: cost 49 inf + 45746 5.131 * * [simplify]: Extracting #7: cost 1 inf + 66256 5.142 * * [simplify]: Extracting #8: cost 0 inf + 65919 5.153 * [simplify]: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) 5.154 * [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))))) 5.154 * * * * [progress]: [ 27 / 100 ] simplifiying candidate # 5.154 * [simplify]: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) 5.154 * * [simplify]: iters left: 6 (8 enodes) 5.159 * * [simplify]: iters left: 5 (37 enodes) 5.172 * * [simplify]: iters left: 4 (67 enodes) 5.195 * * [simplify]: iters left: 3 (123 enodes) 5.247 * * [simplify]: iters left: 2 (278 enodes) 5.394 * * [simplify]: Extracting #0: cost 1 inf + 0 5.394 * * [simplify]: Extracting #1: cost 3 inf + 0 5.394 * * [simplify]: Extracting #2: cost 50 inf + 0 5.395 * * [simplify]: Extracting #3: cost 150 inf + 0 5.396 * * [simplify]: Extracting #4: cost 194 inf + 1180 5.401 * * [simplify]: Extracting #5: cost 123 inf + 12421 5.415 * * [simplify]: Extracting #6: cost 12 inf + 33804 5.430 * * [simplify]: Extracting #7: cost 0 inf + 36129 5.450 * [simplify]: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) 5.451 * [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))))) 5.451 * * * * [progress]: [ 28 / 100 ] simplifiying candidate # 5.451 * [simplify]: Simplifying (+ (* c c) (* d d)) 5.451 * * [simplify]: iters left: 4 (5 enodes) 5.454 * * [simplify]: iters left: 3 (16 enodes) 5.456 * * [simplify]: Extracting #0: cost 1 inf + 0 5.456 * * [simplify]: Extracting #1: cost 4 inf + 0 5.456 * * [simplify]: Extracting #2: cost 8 inf + 0 5.456 * * [simplify]: Extracting #3: cost 4 inf + 84 5.456 * * [simplify]: Extracting #4: cost 0 inf + 410 5.456 * [simplify]: Simplified to (+ (* c c) (* d d)) 5.456 * [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))))) 5.457 * * * * [progress]: [ 29 / 100 ] simplifiying candidate # 5.457 * * * * [progress]: [ 30 / 100 ] simplifiying candidate # 5.457 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d))) 5.457 * * [simplify]: iters left: 5 (6 enodes) 5.458 * * [simplify]: iters left: 4 (19 enodes) 5.461 * * [simplify]: Extracting #0: cost 1 inf + 0 5.461 * * [simplify]: Extracting #1: cost 3 inf + 0 5.461 * * [simplify]: Extracting #2: cost 6 inf + 0 5.461 * * [simplify]: Extracting #3: cost 10 inf + 0 5.461 * * [simplify]: Extracting #4: cost 6 inf + 84 5.461 * * [simplify]: Extracting #5: cost 0 inf + 734 5.461 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d))) 5.461 * [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))))) 5.462 * * * * [progress]: [ 31 / 100 ] simplifiying candidate # 5.462 * * * * [progress]: [ 32 / 100 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))> 5.462 * * * * [progress]: [ 33 / 100 ] simplifiying candidate # 5.462 * * * * [progress]: [ 34 / 100 ] simplifiying candidate # 5.462 * [simplify]: Simplifying (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* c c) (* d d))))) 5.462 * * [simplify]: iters left: 6 (14 enodes) 5.465 * * [simplify]: iters left: 5 (48 enodes) 5.472 * * [simplify]: iters left: 4 (51 enodes) 5.478 * * [simplify]: Extracting #0: cost 1 inf + 0 5.478 * * [simplify]: Extracting #1: cost 5 inf + 0 5.478 * * [simplify]: Extracting #2: cost 10 inf + 0 5.478 * * [simplify]: Extracting #3: cost 15 inf + 0 5.478 * * [simplify]: Extracting #4: cost 24 inf + 0 5.478 * * [simplify]: Extracting #5: cost 19 inf + 129 5.479 * * [simplify]: Extracting #6: cost 11 inf + 931 5.479 * * [simplify]: Extracting #7: cost 4 inf + 2236 5.480 * * [simplify]: Extracting #8: cost 0 inf + 3476 5.481 * [simplify]: Simplified to (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* c c) (* d d))))) 5.481 * [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))))) 5.482 * * * * [progress]: [ 35 / 100 ] simplifiying candidate # 5.482 * * * * [progress]: [ 36 / 100 ] simplifiying candidate # 5.482 * * * * [progress]: [ 37 / 100 ] simplifiying candidate # 5.482 * [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))))) 5.482 * * [simplify]: iters left: 6 (16 enodes) 5.490 * * [simplify]: iters left: 5 (71 enodes) 5.521 * * [simplify]: iters left: 4 (220 enodes) 5.603 * * [simplify]: Extracting #0: cost 1 inf + 0 5.603 * * [simplify]: Extracting #1: cost 30 inf + 0 5.603 * * [simplify]: Extracting #2: cost 82 inf + 1 5.604 * * [simplify]: Extracting #3: cost 194 inf + 1 5.605 * * [simplify]: Extracting #4: cost 161 inf + 5363 5.612 * * [simplify]: Extracting #5: cost 29 inf + 35105 5.631 * * [simplify]: Extracting #6: cost 1 inf + 43538 5.655 * * [simplify]: Extracting #7: cost 0 inf + 43740 5.676 * [simplify]: Simplified to (/ (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (+ (* d d) (* c c)) (sqrt (+ (* d d) (* c c))))) 5.676 * [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))))) 5.677 * * * * [progress]: [ 38 / 100 ] simplifiying candidate # 5.677 * * * * [progress]: [ 39 / 100 ] simplifiying candidate # 5.677 * * * * [progress]: [ 40 / 100 ] simplifiying candidate # 5.677 * * * * [progress]: [ 41 / 100 ] simplifiying candidate # 5.677 * * * * [progress]: [ 42 / 100 ] simplifiying candidate # 5.677 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 5.677 * * [simplify]: iters left: 6 (16 enodes) 5.684 * * [simplify]: iters left: 5 (58 enodes) 5.701 * * [simplify]: iters left: 4 (73 enodes) 5.722 * * [simplify]: iters left: 3 (80 enodes) 5.739 * * [simplify]: iters left: 2 (83 enodes) 5.750 * * [simplify]: Extracting #0: cost 1 inf + 0 5.751 * * [simplify]: Extracting #1: cost 11 inf + 0 5.751 * * [simplify]: Extracting #2: cost 22 inf + 0 5.751 * * [simplify]: Extracting #3: cost 27 inf + 0 5.751 * * [simplify]: Extracting #4: cost 36 inf + 0 5.751 * * [simplify]: Extracting #5: cost 33 inf + 46 5.751 * * [simplify]: Extracting #6: cost 14 inf + 2774 5.753 * * [simplify]: Extracting #7: cost 2 inf + 8296 5.755 * * [simplify]: Extracting #8: cost 0 inf + 9224 5.758 * [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)))))) 5.758 * [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))))) 5.758 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) 5.758 * * [simplify]: iters left: 6 (14 enodes) 5.764 * * [simplify]: iters left: 5 (46 enodes) 5.778 * * [simplify]: Extracting #0: cost 1 inf + 0 5.778 * * [simplify]: Extracting #1: cost 4 inf + 0 5.778 * * [simplify]: Extracting #2: cost 8 inf + 0 5.778 * * [simplify]: Extracting #3: cost 13 inf + 0 5.778 * * [simplify]: Extracting #4: cost 22 inf + 0 5.778 * * [simplify]: Extracting #5: cost 17 inf + 129 5.779 * * [simplify]: Extracting #6: cost 8 inf + 992 5.779 * * [simplify]: Extracting #7: cost 2 inf + 2366 5.779 * * [simplify]: Extracting #8: cost 0 inf + 3012 5.780 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) 5.780 * [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))))) 5.780 * * * * [progress]: [ 43 / 100 ] simplifiying candidate # 5.780 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 5.780 * * [simplify]: iters left: 6 (16 enodes) 5.785 * * [simplify]: iters left: 5 (55 enodes) 5.793 * * [simplify]: iters left: 4 (59 enodes) 5.801 * * [simplify]: iters left: 3 (62 enodes) 5.812 * * [simplify]: Extracting #0: cost 1 inf + 0 5.812 * * [simplify]: Extracting #1: cost 7 inf + 0 5.812 * * [simplify]: Extracting #2: cost 15 inf + 0 5.812 * * [simplify]: Extracting #3: cost 21 inf + 0 5.812 * * [simplify]: Extracting #4: cost 30 inf + 0 5.813 * * [simplify]: Extracting #5: cost 26 inf + 87 5.813 * * [simplify]: Extracting #6: cost 9 inf + 2370 5.815 * * [simplify]: Extracting #7: cost 1 inf + 5596 5.817 * * [simplify]: Extracting #8: cost 0 inf + 6080 5.818 * [simplify]: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) 5.818 * [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))))) 5.819 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) 5.819 * * [simplify]: iters left: 6 (14 enodes) 5.826 * * [simplify]: iters left: 5 (46 enodes) 5.838 * * [simplify]: Extracting #0: cost 1 inf + 0 5.838 * * [simplify]: Extracting #1: cost 4 inf + 0 5.838 * * [simplify]: Extracting #2: cost 8 inf + 0 5.838 * * [simplify]: Extracting #3: cost 13 inf + 0 5.838 * * [simplify]: Extracting #4: cost 22 inf + 0 5.838 * * [simplify]: Extracting #5: cost 17 inf + 129 5.839 * * [simplify]: Extracting #6: cost 8 inf + 992 5.840 * * [simplify]: Extracting #7: cost 2 inf + 2406 5.840 * * [simplify]: Extracting #8: cost 0 inf + 3092 5.841 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) 5.841 * [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))))) 5.842 * * * * [progress]: [ 44 / 100 ] simplifiying candidate # 5.842 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 5.842 * * [simplify]: iters left: 6 (15 enodes) 5.849 * * [simplify]: iters left: 5 (51 enodes) 5.863 * * [simplify]: iters left: 4 (55 enodes) 5.877 * * [simplify]: iters left: 3 (58 enodes) 5.893 * * [simplify]: Extracting #0: cost 1 inf + 0 5.893 * * [simplify]: Extracting #1: cost 7 inf + 0 5.894 * * [simplify]: Extracting #2: cost 14 inf + 0 5.894 * * [simplify]: Extracting #3: cost 19 inf + 0 5.894 * * [simplify]: Extracting #4: cost 28 inf + 0 5.894 * * [simplify]: Extracting #5: cost 24 inf + 87 5.894 * * [simplify]: Extracting #6: cost 11 inf + 1518 5.896 * * [simplify]: Extracting #7: cost 1 inf + 4752 5.897 * * [simplify]: Extracting #8: cost 0 inf + 5196 5.899 * [simplify]: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) 5.899 * [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))))) 5.900 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 5.900 * * [simplify]: iters left: 6 (14 enodes) 5.906 * * [simplify]: iters left: 5 (46 enodes) 5.919 * * [simplify]: Extracting #0: cost 1 inf + 0 5.919 * * [simplify]: Extracting #1: cost 4 inf + 0 5.919 * * [simplify]: Extracting #2: cost 8 inf + 0 5.919 * * [simplify]: Extracting #3: cost 13 inf + 0 5.919 * * [simplify]: Extracting #4: cost 22 inf + 0 5.919 * * [simplify]: Extracting #5: cost 17 inf + 129 5.919 * * [simplify]: Extracting #6: cost 8 inf + 992 5.920 * * [simplify]: Extracting #7: cost 2 inf + 2246 5.921 * * [simplify]: Extracting #8: cost 0 inf + 2852 5.922 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) 5.922 * [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))))) 5.922 * * * * [progress]: [ 45 / 100 ] simplifiying candidate # 5.922 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) 5.923 * * [simplify]: iters left: 6 (12 enodes) 5.930 * * [simplify]: iters left: 5 (43 enodes) 5.942 * * [simplify]: iters left: 4 (49 enodes) 5.956 * * [simplify]: iters left: 3 (53 enodes) 5.970 * * [simplify]: iters left: 2 (54 enodes) 5.984 * * [simplify]: Extracting #0: cost 1 inf + 0 5.984 * * [simplify]: Extracting #1: cost 5 inf + 0 5.984 * * [simplify]: Extracting #2: cost 7 inf + 1 5.984 * * [simplify]: Extracting #3: cost 10 inf + 1 5.984 * * [simplify]: Extracting #4: cost 16 inf + 1 5.984 * * [simplify]: Extracting #5: cost 10 inf + 89 5.984 * * [simplify]: Extracting #6: cost 3 inf + 1073 5.985 * * [simplify]: Extracting #7: cost 0 inf + 1807 5.986 * [simplify]: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 5.986 * [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))))) 5.986 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) 5.986 * * [simplify]: iters left: 6 (13 enodes) 5.992 * * [simplify]: iters left: 5 (43 enodes) 6.003 * * [simplify]: Extracting #0: cost 1 inf + 0 6.003 * * [simplify]: Extracting #1: cost 4 inf + 0 6.003 * * [simplify]: Extracting #2: cost 8 inf + 0 6.003 * * [simplify]: Extracting #3: cost 14 inf + 0 6.004 * * [simplify]: Extracting #4: cost 22 inf + 0 6.004 * * [simplify]: Extracting #5: cost 17 inf + 45 6.004 * * [simplify]: Extracting #6: cost 10 inf + 537 6.004 * * [simplify]: Extracting #7: cost 4 inf + 1232 6.005 * * [simplify]: Extracting #8: cost 1 inf + 1964 6.006 * * [simplify]: Extracting #9: cost 0 inf + 2368 6.007 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) 6.007 * [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))))) 6.007 * * * * [progress]: [ 46 / 100 ] simplifiying candidate # 6.007 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 6.007 * * [simplify]: iters left: 6 (15 enodes) 6.014 * * [simplify]: iters left: 5 (51 enodes) 6.028 * * [simplify]: iters left: 4 (55 enodes) 6.041 * * [simplify]: iters left: 3 (58 enodes) 6.049 * * [simplify]: Extracting #0: cost 1 inf + 0 6.049 * * [simplify]: Extracting #1: cost 7 inf + 0 6.049 * * [simplify]: Extracting #2: cost 14 inf + 0 6.050 * * [simplify]: Extracting #3: cost 19 inf + 0 6.050 * * [simplify]: Extracting #4: cost 28 inf + 0 6.050 * * [simplify]: Extracting #5: cost 24 inf + 87 6.050 * * [simplify]: Extracting #6: cost 11 inf + 1518 6.051 * * [simplify]: Extracting #7: cost 1 inf + 4752 6.053 * * [simplify]: Extracting #8: cost 0 inf + 5196 6.053 * [simplify]: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) 6.053 * [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))))) 6.054 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 6.054 * * [simplify]: iters left: 6 (14 enodes) 6.057 * * [simplify]: iters left: 5 (46 enodes) 6.063 * * [simplify]: Extracting #0: cost 1 inf + 0 6.063 * * [simplify]: Extracting #1: cost 4 inf + 0 6.063 * * [simplify]: Extracting #2: cost 8 inf + 0 6.063 * * [simplify]: Extracting #3: cost 13 inf + 0 6.063 * * [simplify]: Extracting #4: cost 22 inf + 0 6.063 * * [simplify]: Extracting #5: cost 17 inf + 129 6.063 * * [simplify]: Extracting #6: cost 8 inf + 992 6.064 * * [simplify]: Extracting #7: cost 2 inf + 2246 6.064 * * [simplify]: Extracting #8: cost 0 inf + 2852 6.065 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) 6.065 * [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))))) 6.065 * * * * [progress]: [ 47 / 100 ] simplifiying candidate # 6.065 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) 6.065 * * [simplify]: iters left: 6 (11 enodes) 6.070 * * [simplify]: iters left: 5 (38 enodes) 6.081 * * [simplify]: iters left: 4 (48 enodes) 6.088 * * [simplify]: iters left: 3 (49 enodes) 6.095 * * [simplify]: Extracting #0: cost 1 inf + 0 6.095 * * [simplify]: Extracting #1: cost 5 inf + 0 6.095 * * [simplify]: Extracting #2: cost 7 inf + 1 6.095 * * [simplify]: Extracting #3: cost 10 inf + 1 6.095 * * [simplify]: Extracting #4: cost 16 inf + 1 6.095 * * [simplify]: Extracting #5: cost 11 inf + 47 6.095 * * [simplify]: Extracting #6: cost 5 inf + 828 6.096 * * [simplify]: Extracting #7: cost 0 inf + 1807 6.096 * [simplify]: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 6.096 * [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))))) 6.096 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) 6.096 * * [simplify]: iters left: 6 (13 enodes) 6.099 * * [simplify]: iters left: 5 (43 enodes) 6.105 * * [simplify]: Extracting #0: cost 1 inf + 0 6.105 * * [simplify]: Extracting #1: cost 4 inf + 0 6.105 * * [simplify]: Extracting #2: cost 8 inf + 0 6.105 * * [simplify]: Extracting #3: cost 14 inf + 0 6.105 * * [simplify]: Extracting #4: cost 22 inf + 0 6.105 * * [simplify]: Extracting #5: cost 17 inf + 45 6.105 * * [simplify]: Extracting #6: cost 10 inf + 537 6.106 * * [simplify]: Extracting #7: cost 4 inf + 1232 6.106 * * [simplify]: Extracting #8: cost 1 inf + 1964 6.106 * * [simplify]: Extracting #9: cost 0 inf + 2368 6.107 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) 6.107 * [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))))) 6.107 * * * * [progress]: [ 48 / 100 ] simplifiying candidate # 6.107 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 6.107 * * [simplify]: iters left: 6 (15 enodes) 6.111 * * [simplify]: iters left: 5 (51 enodes) 6.124 * * [simplify]: iters left: 4 (53 enodes) 6.138 * * [simplify]: Extracting #0: cost 1 inf + 0 6.138 * * [simplify]: Extracting #1: cost 6 inf + 0 6.139 * * [simplify]: Extracting #2: cost 12 inf + 0 6.139 * * [simplify]: Extracting #3: cost 17 inf + 0 6.139 * * [simplify]: Extracting #4: cost 26 inf + 0 6.139 * * [simplify]: Extracting #5: cost 22 inf + 87 6.139 * * [simplify]: Extracting #6: cost 14 inf + 707 6.140 * * [simplify]: Extracting #7: cost 7 inf + 1842 6.141 * * [simplify]: Extracting #8: cost 0 inf + 4384 6.142 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 6.142 * [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))))) 6.143 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) 6.143 * * [simplify]: iters left: 6 (14 enodes) 6.149 * * [simplify]: iters left: 5 (46 enodes) 6.163 * * [simplify]: Extracting #0: cost 1 inf + 0 6.163 * * [simplify]: Extracting #1: cost 4 inf + 0 6.164 * * [simplify]: Extracting #2: cost 8 inf + 0 6.164 * * [simplify]: Extracting #3: cost 13 inf + 0 6.164 * * [simplify]: Extracting #4: cost 22 inf + 0 6.164 * * [simplify]: Extracting #5: cost 17 inf + 129 6.164 * * [simplify]: Extracting #6: cost 8 inf + 912 6.165 * * [simplify]: Extracting #7: cost 2 inf + 2246 6.166 * * [simplify]: Extracting #8: cost 0 inf + 2852 6.167 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) 6.167 * [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))))) 6.167 * * * * [progress]: [ 49 / 100 ] simplifiying candidate # 6.167 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 6.168 * * [simplify]: iters left: 6 (15 enodes) 6.174 * * [simplify]: iters left: 5 (50 enodes) 6.188 * * [simplify]: Extracting #0: cost 1 inf + 0 6.188 * * [simplify]: Extracting #1: cost 4 inf + 0 6.188 * * [simplify]: Extracting #2: cost 9 inf + 0 6.188 * * [simplify]: Extracting #3: cost 15 inf + 0 6.188 * * [simplify]: Extracting #4: cost 24 inf + 0 6.188 * * [simplify]: Extracting #5: cost 20 inf + 87 6.189 * * [simplify]: Extracting #6: cost 12 inf + 707 6.189 * * [simplify]: Extracting #7: cost 5 inf + 1842 6.190 * * [simplify]: Extracting #8: cost 0 inf + 3416 6.192 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) 6.192 * [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))))) 6.192 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) 6.192 * * [simplify]: iters left: 6 (14 enodes) 6.199 * * [simplify]: iters left: 5 (46 enodes) 6.211 * * [simplify]: Extracting #0: cost 1 inf + 0 6.211 * * [simplify]: Extracting #1: cost 4 inf + 0 6.211 * * [simplify]: Extracting #2: cost 8 inf + 0 6.211 * * [simplify]: Extracting #3: cost 13 inf + 0 6.211 * * [simplify]: Extracting #4: cost 22 inf + 0 6.211 * * [simplify]: Extracting #5: cost 17 inf + 129 6.211 * * [simplify]: Extracting #6: cost 8 inf + 912 6.211 * * [simplify]: Extracting #7: cost 2 inf + 2286 6.212 * * [simplify]: Extracting #8: cost 0 inf + 2932 6.212 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) 6.212 * [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))))) 6.213 * * * * [progress]: [ 50 / 100 ] simplifiying candidate # 6.213 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 6.213 * * [simplify]: iters left: 6 (14 enodes) 6.216 * * [simplify]: iters left: 5 (46 enodes) 6.222 * * [simplify]: Extracting #0: cost 1 inf + 0 6.222 * * [simplify]: Extracting #1: cost 4 inf + 0 6.222 * * [simplify]: Extracting #2: cost 8 inf + 0 6.222 * * [simplify]: Extracting #3: cost 13 inf + 0 6.222 * * [simplify]: Extracting #4: cost 22 inf + 0 6.222 * * [simplify]: Extracting #5: cost 17 inf + 129 6.223 * * [simplify]: Extracting #6: cost 8 inf + 912 6.223 * * [simplify]: Extracting #7: cost 2 inf + 2126 6.223 * * [simplify]: Extracting #8: cost 0 inf + 2692 6.224 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) 6.224 * [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))))) 6.224 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 6.224 * * [simplify]: iters left: 6 (14 enodes) 6.227 * * [simplify]: iters left: 5 (46 enodes) 6.236 * * [simplify]: Extracting #0: cost 1 inf + 0 6.236 * * [simplify]: Extracting #1: cost 4 inf + 0 6.236 * * [simplify]: Extracting #2: cost 8 inf + 0 6.236 * * [simplify]: Extracting #3: cost 13 inf + 0 6.236 * * [simplify]: Extracting #4: cost 22 inf + 0 6.236 * * [simplify]: Extracting #5: cost 17 inf + 129 6.236 * * [simplify]: Extracting #6: cost 8 inf + 912 6.237 * * [simplify]: Extracting #7: cost 2 inf + 2126 6.237 * * [simplify]: Extracting #8: cost 0 inf + 2692 6.238 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) 6.238 * [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))))) 6.238 * * * * [progress]: [ 51 / 100 ] simplifiying candidate # 6.238 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) 6.238 * * [simplify]: iters left: 6 (11 enodes) 6.241 * * [simplify]: iters left: 5 (38 enodes) 6.247 * * [simplify]: iters left: 4 (40 enodes) 6.253 * * [simplify]: iters left: 3 (42 enodes) 6.258 * * [simplify]: Extracting #0: cost 1 inf + 0 6.258 * * [simplify]: Extracting #1: cost 4 inf + 0 6.258 * * [simplify]: Extracting #2: cost 6 inf + 1 6.258 * * [simplify]: Extracting #3: cost 12 inf + 1 6.258 * * [simplify]: Extracting #4: cost 7 inf + 47 6.258 * * [simplify]: Extracting #5: cost 0 inf + 749 6.258 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c))) 6.258 * [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))))) 6.259 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) 6.259 * * [simplify]: iters left: 6 (13 enodes) 6.261 * * [simplify]: iters left: 5 (43 enodes) 6.274 * * [simplify]: Extracting #0: cost 1 inf + 0 6.274 * * [simplify]: Extracting #1: cost 4 inf + 0 6.274 * * [simplify]: Extracting #2: cost 8 inf + 0 6.274 * * [simplify]: Extracting #3: cost 14 inf + 0 6.274 * * [simplify]: Extracting #4: cost 22 inf + 0 6.275 * * [simplify]: Extracting #5: cost 17 inf + 45 6.275 * * [simplify]: Extracting #6: cost 10 inf + 537 6.275 * * [simplify]: Extracting #7: cost 4 inf + 1192 6.276 * * [simplify]: Extracting #8: cost 1 inf + 1844 6.277 * * [simplify]: Extracting #9: cost 0 inf + 2208 6.278 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) 6.278 * [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))))) 6.278 * * * * [progress]: [ 52 / 100 ] simplifiying candidate # 6.278 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 6.278 * * [simplify]: iters left: 6 (14 enodes) 6.281 * * [simplify]: iters left: 5 (46 enodes) 6.288 * * [simplify]: Extracting #0: cost 1 inf + 0 6.288 * * [simplify]: Extracting #1: cost 4 inf + 0 6.288 * * [simplify]: Extracting #2: cost 8 inf + 0 6.288 * * [simplify]: Extracting #3: cost 13 inf + 0 6.288 * * [simplify]: Extracting #4: cost 22 inf + 0 6.288 * * [simplify]: Extracting #5: cost 17 inf + 129 6.288 * * [simplify]: Extracting #6: cost 8 inf + 912 6.289 * * [simplify]: Extracting #7: cost 2 inf + 2126 6.289 * * [simplify]: Extracting #8: cost 0 inf + 2692 6.290 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) 6.290 * [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))))) 6.290 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 6.290 * * [simplify]: iters left: 6 (14 enodes) 6.293 * * [simplify]: iters left: 5 (46 enodes) 6.300 * * [simplify]: Extracting #0: cost 1 inf + 0 6.300 * * [simplify]: Extracting #1: cost 4 inf + 0 6.300 * * [simplify]: Extracting #2: cost 8 inf + 0 6.300 * * [simplify]: Extracting #3: cost 13 inf + 0 6.300 * * [simplify]: Extracting #4: cost 22 inf + 0 6.300 * * [simplify]: Extracting #5: cost 17 inf + 129 6.300 * * [simplify]: Extracting #6: cost 8 inf + 912 6.300 * * [simplify]: Extracting #7: cost 2 inf + 2126 6.301 * * [simplify]: Extracting #8: cost 0 inf + 2692 6.301 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) 6.301 * [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))))) 6.302 * * * * [progress]: [ 53 / 100 ] simplifiying candidate # 6.302 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) 1) 6.302 * * [simplify]: iters left: 6 (10 enodes) 6.305 * * [simplify]: iters left: 5 (33 enodes) 6.313 * * [simplify]: iters left: 4 (35 enodes) 6.322 * * [simplify]: Extracting #0: cost 1 inf + 0 6.322 * * [simplify]: Extracting #1: cost 4 inf + 0 6.322 * * [simplify]: Extracting #2: cost 6 inf + 1 6.322 * * [simplify]: Extracting #3: cost 12 inf + 1 6.322 * * [simplify]: Extracting #4: cost 7 inf + 47 6.323 * * [simplify]: Extracting #5: cost 0 inf + 749 6.323 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c))) 6.323 * [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))))) 6.324 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) 6.324 * * [simplify]: iters left: 6 (13 enodes) 6.329 * * [simplify]: iters left: 5 (43 enodes) 6.341 * * [simplify]: Extracting #0: cost 1 inf + 0 6.341 * * [simplify]: Extracting #1: cost 4 inf + 0 6.341 * * [simplify]: Extracting #2: cost 8 inf + 0 6.341 * * [simplify]: Extracting #3: cost 14 inf + 0 6.341 * * [simplify]: Extracting #4: cost 22 inf + 0 6.341 * * [simplify]: Extracting #5: cost 17 inf + 45 6.342 * * [simplify]: Extracting #6: cost 10 inf + 537 6.342 * * [simplify]: Extracting #7: cost 4 inf + 1192 6.343 * * [simplify]: Extracting #8: cost 1 inf + 1844 6.344 * * [simplify]: Extracting #9: cost 0 inf + 2208 6.345 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) 6.345 * [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))))) 6.345 * * * * [progress]: [ 54 / 100 ] simplifiying candidate # 6.345 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 6.345 * * [simplify]: iters left: 6 (10 enodes) 6.350 * * [simplify]: iters left: 5 (35 enodes) 6.360 * * [simplify]: iters left: 4 (39 enodes) 6.367 * * [simplify]: Extracting #0: cost 1 inf + 0 6.367 * * [simplify]: Extracting #1: cost 6 inf + 0 6.367 * * [simplify]: Extracting #2: cost 9 inf + 1 6.367 * * [simplify]: Extracting #3: cost 11 inf + 1 6.367 * * [simplify]: Extracting #4: cost 14 inf + 1 6.367 * * [simplify]: Extracting #5: cost 18 inf + 1 6.367 * * [simplify]: Extracting #6: cost 16 inf + 3 6.367 * * [simplify]: Extracting #7: cost 11 inf + 289 6.367 * * [simplify]: Extracting #8: cost 6 inf + 1219 6.368 * * [simplify]: Extracting #9: cost 0 inf + 2995 6.368 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 6.368 * [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))))) 6.368 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) 6.369 * * [simplify]: iters left: 6 (13 enodes) 6.371 * * [simplify]: iters left: 5 (43 enodes) 6.377 * * [simplify]: Extracting #0: cost 1 inf + 0 6.377 * * [simplify]: Extracting #1: cost 4 inf + 0 6.377 * * [simplify]: Extracting #2: cost 9 inf + 0 6.377 * * [simplify]: Extracting #3: cost 17 inf + 0 6.377 * * [simplify]: Extracting #4: cost 16 inf + 4 6.378 * * [simplify]: Extracting #5: cost 12 inf + 334 6.378 * * [simplify]: Extracting #6: cost 5 inf + 1108 6.378 * * [simplify]: Extracting #7: cost 1 inf + 2040 6.379 * * [simplify]: Extracting #8: cost 0 inf + 2444 6.379 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) 6.379 * [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))))) 6.379 * * * * [progress]: [ 55 / 100 ] simplifiying candidate # 6.380 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 6.380 * * [simplify]: iters left: 6 (10 enodes) 6.383 * * [simplify]: iters left: 5 (34 enodes) 6.390 * * [simplify]: iters left: 4 (36 enodes) 6.401 * * [simplify]: Extracting #0: cost 1 inf + 0 6.401 * * [simplify]: Extracting #1: cost 4 inf + 0 6.401 * * [simplify]: Extracting #2: cost 6 inf + 1 6.401 * * [simplify]: Extracting #3: cost 9 inf + 1 6.401 * * [simplify]: Extracting #4: cost 12 inf + 1 6.401 * * [simplify]: Extracting #5: cost 16 inf + 1 6.401 * * [simplify]: Extracting #6: cost 14 inf + 3 6.402 * * [simplify]: Extracting #7: cost 10 inf + 248 6.402 * * [simplify]: Extracting #8: cost 2 inf + 1824 6.403 * * [simplify]: Extracting #9: cost 0 inf + 2349 6.403 * [simplify]: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) 6.404 * [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))))) 6.404 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) 6.404 * * [simplify]: iters left: 6 (13 enodes) 6.410 * * [simplify]: iters left: 5 (43 enodes) 6.421 * * [simplify]: Extracting #0: cost 1 inf + 0 6.422 * * [simplify]: Extracting #1: cost 4 inf + 0 6.422 * * [simplify]: Extracting #2: cost 9 inf + 0 6.422 * * [simplify]: Extracting #3: cost 17 inf + 0 6.422 * * [simplify]: Extracting #4: cost 16 inf + 4 6.422 * * [simplify]: Extracting #5: cost 12 inf + 334 6.422 * * [simplify]: Extracting #6: cost 5 inf + 1148 6.423 * * [simplify]: Extracting #7: cost 1 inf + 2120 6.424 * * [simplify]: Extracting #8: cost 0 inf + 2524 6.425 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) 6.425 * [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))))) 6.425 * * * * [progress]: [ 56 / 100 ] simplifiying candidate # 6.425 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 6.425 * * [simplify]: iters left: 6 (9 enodes) 6.430 * * [simplify]: iters left: 5 (30 enodes) 6.439 * * [simplify]: iters left: 4 (32 enodes) 6.449 * * [simplify]: Extracting #0: cost 1 inf + 0 6.449 * * [simplify]: Extracting #1: cost 4 inf + 0 6.449 * * [simplify]: Extracting #2: cost 5 inf + 1 6.449 * * [simplify]: Extracting #3: cost 7 inf + 1 6.449 * * [simplify]: Extracting #4: cost 10 inf + 1 6.449 * * [simplify]: Extracting #5: cost 14 inf + 1 6.449 * * [simplify]: Extracting #6: cost 12 inf + 3 6.449 * * [simplify]: Extracting #7: cost 8 inf + 248 6.450 * * [simplify]: Extracting #8: cost 4 inf + 775 6.450 * * [simplify]: Extracting #9: cost 0 inf + 1625 6.451 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 6.451 * [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))))) 6.451 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) 6.451 * * [simplify]: iters left: 6 (13 enodes) 6.457 * * [simplify]: iters left: 5 (43 enodes) 6.468 * * [simplify]: Extracting #0: cost 1 inf + 0 6.468 * * [simplify]: Extracting #1: cost 4 inf + 0 6.469 * * [simplify]: Extracting #2: cost 9 inf + 0 6.469 * * [simplify]: Extracting #3: cost 17 inf + 0 6.469 * * [simplify]: Extracting #4: cost 16 inf + 4 6.469 * * [simplify]: Extracting #5: cost 12 inf + 334 6.469 * * [simplify]: Extracting #6: cost 5 inf + 1068 6.470 * * [simplify]: Extracting #7: cost 1 inf + 1920 6.471 * * [simplify]: Extracting #8: cost 0 inf + 2284 6.472 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) 6.472 * [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))))) 6.472 * * * * [progress]: [ 57 / 100 ] simplifiying candidate # 6.472 * [simplify]: Simplifying (/ 1 (sqrt 1)) 6.472 * * [simplify]: iters left: 3 (3 enodes) 6.478 * * [simplify]: iters left: 2 (11 enodes) 6.481 * * [simplify]: iters left: 1 (13 enodes) 6.484 * * [simplify]: Extracting #0: cost 1 inf + 0 6.484 * * [simplify]: Extracting #1: cost 0 inf + 1 6.484 * [simplify]: Simplified to 1 6.485 * [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))))) 6.485 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) 6.485 * * [simplify]: iters left: 6 (12 enodes) 6.491 * * [simplify]: iters left: 5 (40 enodes) 6.502 * * [simplify]: Extracting #0: cost 1 inf + 0 6.502 * * [simplify]: Extracting #1: cost 4 inf + 0 6.502 * * [simplify]: Extracting #2: cost 9 inf + 0 6.502 * * [simplify]: Extracting #3: cost 18 inf + 0 6.502 * * [simplify]: Extracting #4: cost 11 inf + 372 6.503 * * [simplify]: Extracting #5: cost 1 inf + 1476 6.504 * * [simplify]: Extracting #6: cost 0 inf + 1800 6.504 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) 6.504 * [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))))) 6.504 * * * * [progress]: [ 58 / 100 ] simplifiying candidate # 6.505 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 6.505 * * [simplify]: iters left: 6 (9 enodes) 6.510 * * [simplify]: iters left: 5 (30 enodes) 6.519 * * [simplify]: iters left: 4 (32 enodes) 6.528 * * [simplify]: Extracting #0: cost 1 inf + 0 6.528 * * [simplify]: Extracting #1: cost 4 inf + 0 6.528 * * [simplify]: Extracting #2: cost 5 inf + 1 6.529 * * [simplify]: Extracting #3: cost 7 inf + 1 6.529 * * [simplify]: Extracting #4: cost 10 inf + 1 6.529 * * [simplify]: Extracting #5: cost 14 inf + 1 6.529 * * [simplify]: Extracting #6: cost 12 inf + 3 6.529 * * [simplify]: Extracting #7: cost 8 inf + 248 6.529 * * [simplify]: Extracting #8: cost 4 inf + 775 6.530 * * [simplify]: Extracting #9: cost 0 inf + 1625 6.530 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 6.530 * [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))))) 6.531 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) 6.531 * * [simplify]: iters left: 6 (13 enodes) 6.538 * * [simplify]: iters left: 5 (43 enodes) 6.550 * * [simplify]: Extracting #0: cost 1 inf + 0 6.550 * * [simplify]: Extracting #1: cost 4 inf + 0 6.550 * * [simplify]: Extracting #2: cost 9 inf + 0 6.550 * * [simplify]: Extracting #3: cost 17 inf + 0 6.550 * * [simplify]: Extracting #4: cost 16 inf + 4 6.550 * * [simplify]: Extracting #5: cost 12 inf + 334 6.551 * * [simplify]: Extracting #6: cost 5 inf + 1068 6.551 * * [simplify]: Extracting #7: cost 1 inf + 1920 6.552 * * [simplify]: Extracting #8: cost 0 inf + 2284 6.553 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) 6.553 * [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))))) 6.553 * * * * [progress]: [ 59 / 100 ] simplifiying candidate # 6.554 * [simplify]: Simplifying (/ 1 1) 6.554 * * [simplify]: iters left: 2 (2 enodes) 6.555 * * [simplify]: iters left: 1 (6 enodes) 6.556 * * [simplify]: Extracting #0: cost 1 inf + 0 6.556 * * [simplify]: Extracting #1: cost 0 inf + 1 6.556 * [simplify]: Simplified to 1 6.556 * [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))))) 6.557 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) 6.557 * * [simplify]: iters left: 6 (12 enodes) 6.559 * * [simplify]: iters left: 5 (40 enodes) 6.565 * * [simplify]: Extracting #0: cost 1 inf + 0 6.565 * * [simplify]: Extracting #1: cost 4 inf + 0 6.565 * * [simplify]: Extracting #2: cost 9 inf + 0 6.565 * * [simplify]: Extracting #3: cost 18 inf + 0 6.565 * * [simplify]: Extracting #4: cost 11 inf + 372 6.565 * * [simplify]: Extracting #5: cost 1 inf + 1476 6.565 * * [simplify]: Extracting #6: cost 0 inf + 1800 6.566 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) 6.566 * [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))))) 6.566 * * * * [progress]: [ 60 / 100 ] simplifiying candidate # 6.566 * * * * [progress]: [ 61 / 100 ] simplifiying candidate # 6.566 * * * * [progress]: [ 62 / 100 ] simplifiying candidate # 6.566 * * * * [progress]: [ 63 / 100 ] simplifiying candidate # 6.566 * [simplify]: Simplifying (cbrt (sqrt (+ (* c c) (* d d)))) 6.566 * * [simplify]: iters left: 6 (7 enodes) 6.568 * * [simplify]: iters left: 5 (22 enodes) 6.571 * * [simplify]: Extracting #0: cost 1 inf + 0 6.571 * * [simplify]: Extracting #1: cost 3 inf + 0 6.571 * * [simplify]: Extracting #2: cost 5 inf + 0 6.571 * * [simplify]: Extracting #3: cost 8 inf + 0 6.571 * * [simplify]: Extracting #4: cost 12 inf + 0 6.571 * * [simplify]: Extracting #5: cost 10 inf + 2 6.571 * * [simplify]: Extracting #6: cost 1 inf + 976 6.572 * * [simplify]: Extracting #7: cost 0 inf + 1218 6.572 * [simplify]: Simplified to (cbrt (sqrt (+ (* c c) (* d d)))) 6.572 * [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))))) 6.572 * * * * [progress]: [ 64 / 100 ] simplifiying candidate # 6.572 * [simplify]: Simplifying (sqrt (cbrt (+ (* c c) (* d d)))) 6.572 * * [simplify]: iters left: 6 (7 enodes) 6.574 * * [simplify]: iters left: 5 (22 enodes) 6.580 * * [simplify]: Extracting #0: cost 1 inf + 0 6.580 * * [simplify]: Extracting #1: cost 3 inf + 0 6.580 * * [simplify]: Extracting #2: cost 5 inf + 0 6.580 * * [simplify]: Extracting #3: cost 8 inf + 0 6.580 * * [simplify]: Extracting #4: cost 12 inf + 0 6.580 * * [simplify]: Extracting #5: cost 10 inf + 2 6.580 * * [simplify]: Extracting #6: cost 1 inf + 1056 6.581 * * [simplify]: Extracting #7: cost 0 inf + 1298 6.581 * [simplify]: Simplified to (sqrt (cbrt (+ (* c c) (* d d)))) 6.581 * [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))))) 6.581 * * * * [progress]: [ 65 / 100 ] simplifiying candidate # 6.582 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) 6.582 * * [simplify]: iters left: 6 (7 enodes) 6.585 * * [simplify]: iters left: 5 (22 enodes) 6.590 * * [simplify]: Extracting #0: cost 1 inf + 0 6.590 * * [simplify]: Extracting #1: cost 3 inf + 0 6.591 * * [simplify]: Extracting #2: cost 5 inf + 0 6.591 * * [simplify]: Extracting #3: cost 8 inf + 0 6.591 * * [simplify]: Extracting #4: cost 12 inf + 0 6.591 * * [simplify]: Extracting #5: cost 10 inf + 2 6.591 * * [simplify]: Extracting #6: cost 1 inf + 936 6.591 * * [simplify]: Extracting #7: cost 0 inf + 1138 6.592 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) 6.592 * [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))))) 6.592 * * * * [progress]: [ 66 / 100 ] simplifiying candidate # 6.592 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d))) 6.592 * * [simplify]: iters left: 5 (6 enodes) 6.595 * * [simplify]: iters left: 4 (19 enodes) 6.600 * * [simplify]: Extracting #0: cost 1 inf + 0 6.600 * * [simplify]: Extracting #1: cost 3 inf + 0 6.600 * * [simplify]: Extracting #2: cost 6 inf + 0 6.600 * * [simplify]: Extracting #3: cost 10 inf + 0 6.600 * * [simplify]: Extracting #4: cost 6 inf + 84 6.600 * * [simplify]: Extracting #5: cost 0 inf + 734 6.600 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d))) 6.600 * [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))))) 6.600 * * * * [progress]: [ 67 / 100 ] simplifiying candidate # 6.600 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) 6.600 * * [simplify]: iters left: 6 (7 enodes) 6.602 * * [simplify]: iters left: 5 (22 enodes) 6.605 * * [simplify]: Extracting #0: cost 1 inf + 0 6.605 * * [simplify]: Extracting #1: cost 3 inf + 0 6.605 * * [simplify]: Extracting #2: cost 5 inf + 0 6.605 * * [simplify]: Extracting #3: cost 8 inf + 0 6.605 * * [simplify]: Extracting #4: cost 12 inf + 0 6.605 * * [simplify]: Extracting #5: cost 10 inf + 2 6.606 * * [simplify]: Extracting #6: cost 1 inf + 936 6.606 * * [simplify]: Extracting #7: cost 0 inf + 1138 6.606 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) 6.606 * [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))))) 6.606 * * * * [progress]: [ 68 / 100 ] simplifiying candidate # 6.606 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d))) 6.606 * * [simplify]: iters left: 5 (6 enodes) 6.608 * * [simplify]: iters left: 4 (19 enodes) 6.610 * * [simplify]: Extracting #0: cost 1 inf + 0 6.610 * * [simplify]: Extracting #1: cost 3 inf + 0 6.610 * * [simplify]: Extracting #2: cost 6 inf + 0 6.611 * * [simplify]: Extracting #3: cost 10 inf + 0 6.611 * * [simplify]: Extracting #4: cost 6 inf + 84 6.611 * * [simplify]: Extracting #5: cost 0 inf + 734 6.611 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d))) 6.611 * [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))))) 6.611 * * * * [progress]: [ 69 / 100 ] simplifiying candidate # 6.611 * [simplify]: Simplifying (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 6.611 * * [simplify]: iters left: 6 (9 enodes) 6.613 * * [simplify]: iters left: 5 (30 enodes) 6.617 * * [simplify]: Extracting #0: cost 1 inf + 0 6.617 * * [simplify]: Extracting #1: cost 3 inf + 0 6.617 * * [simplify]: Extracting #2: cost 5 inf + 0 6.617 * * [simplify]: Extracting #3: cost 8 inf + 0 6.617 * * [simplify]: Extracting #4: cost 14 inf + 0 6.618 * * [simplify]: Extracting #5: cost 9 inf + 46 6.618 * * [simplify]: Extracting #6: cost 4 inf + 500 6.618 * * [simplify]: Extracting #7: cost 1 inf + 1072 6.618 * * [simplify]: Extracting #8: cost 0 inf + 1316 6.618 * [simplify]: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 6.619 * [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))))) 6.619 * * * * [progress]: [ 70 / 100 ] simplifiying candidate # 6.619 * [simplify]: Simplifying (sqrt (+ (* a c) (* b d))) 6.619 * * [simplify]: iters left: 5 (8 enodes) 6.621 * * [simplify]: iters left: 4 (27 enodes) 6.624 * * [simplify]: Extracting #0: cost 1 inf + 0 6.624 * * [simplify]: Extracting #1: cost 3 inf + 0 6.624 * * [simplify]: Extracting #2: cost 6 inf + 0 6.624 * * [simplify]: Extracting #3: cost 12 inf + 0 6.624 * * [simplify]: Extracting #4: cost 8 inf + 4 6.624 * * [simplify]: Extracting #5: cost 1 inf + 584 6.624 * * [simplify]: Extracting #6: cost 0 inf + 748 6.625 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c))) 6.625 * [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))))) 6.625 * * * * [progress]: [ 71 / 100 ] simplifiying candidate # 6.625 * * * * [progress]: [ 72 / 100 ] simplifiying candidate # 6.625 * [simplify]: Simplifying (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) 6.625 * * [simplify]: iters left: 6 (10 enodes) 6.630 * * [simplify]: iters left: 5 (52 enodes) 6.652 * * [simplify]: iters left: 4 (119 enodes) 6.693 * * [simplify]: iters left: 3 (234 enodes) 6.775 * * [simplify]: iters left: 2 (366 enodes) 6.939 * * [simplify]: Extracting #0: cost 1 inf + 0 6.939 * * [simplify]: Extracting #1: cost 3 inf + 0 6.939 * * [simplify]: Extracting #2: cost 22 inf + 0 6.939 * * [simplify]: Extracting #3: cost 148 inf + 0 6.941 * * [simplify]: Extracting #4: cost 202 inf + 2230 6.949 * * [simplify]: Extracting #5: cost 83 inf + 22274 6.963 * * [simplify]: Extracting #6: cost 1 inf + 35108 6.978 * * [simplify]: Extracting #7: cost 0 inf + 35040 6.996 * [simplify]: Simplified to (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) 6.996 * [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))))) 6.996 * * * * [progress]: [ 73 / 100 ] simplifiying candidate # 6.996 * [simplify]: Simplifying (sqrt (- (* c c) (* d d))) 6.996 * * [simplify]: iters left: 5 (6 enodes) 6.999 * * [simplify]: iters left: 4 (23 enodes) 7.002 * * [simplify]: iters left: 3 (36 enodes) 7.009 * * [simplify]: iters left: 2 (53 enodes) 7.018 * * [simplify]: iters left: 1 (94 enodes) 7.047 * * [simplify]: Extracting #0: cost 1 inf + 0 7.048 * * [simplify]: Extracting #1: cost 3 inf + 0 7.048 * * [simplify]: Extracting #2: cost 32 inf + 0 7.048 * * [simplify]: Extracting #3: cost 48 inf + 0 7.048 * * [simplify]: Extracting #4: cost 42 inf + 247 7.050 * * [simplify]: Extracting #5: cost 18 inf + 3412 7.052 * * [simplify]: Extracting #6: cost 0 inf + 5728 7.055 * * [simplify]: Extracting #7: cost 0 inf + 5448 7.057 * [simplify]: Simplified to (sqrt (- (* c c) (* d d))) 7.057 * [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))))) 7.057 * * * * [progress]: [ 74 / 100 ] simplifiying candidate # 7.058 * [simplify]: Simplifying (+ (pow (* a c) 3) (pow (* b d) 3)) 7.058 * * [simplify]: iters left: 5 (10 enodes) 7.064 * * [simplify]: iters left: 4 (52 enodes) 7.088 * * [simplify]: iters left: 3 (145 enodes) 7.133 * * [simplify]: iters left: 2 (335 enodes) 7.273 * * [simplify]: Extracting #0: cost 1 inf + 0 7.273 * * [simplify]: Extracting #1: cost 4 inf + 0 7.273 * * [simplify]: Extracting #2: cost 51 inf + 0 7.274 * * [simplify]: Extracting #3: cost 124 inf + 950 7.275 * * [simplify]: Extracting #4: cost 89 inf + 8397 7.279 * * [simplify]: Extracting #5: cost 14 inf + 28399 7.283 * * [simplify]: Extracting #6: cost 1 inf + 33494 7.287 * * [simplify]: Extracting #7: cost 0 inf + 33747 7.290 * [simplify]: Simplified to (+ (* (* (* b d) (* b d)) (* b d)) (* (* a c) (* (* a c) (* a c)))) 7.291 * [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))))) 7.291 * * * * [progress]: [ 75 / 100 ] simplifiying candidate # 7.291 * [simplify]: Simplifying (- (* (* a c) (* a c)) (* (* b d) (* b d))) 7.291 * * [simplify]: iters left: 6 (9 enodes) 7.296 * * [simplify]: iters left: 5 (48 enodes) 7.306 * * [simplify]: iters left: 4 (111 enodes) 7.337 * * [simplify]: iters left: 3 (181 enodes) 7.375 * * [simplify]: iters left: 2 (262 enodes) 7.470 * * [simplify]: iters left: 1 (473 enodes) 7.639 * * [simplify]: Extracting #0: cost 1 inf + 0 7.640 * * [simplify]: Extracting #1: cost 22 inf + 0 7.640 * * [simplify]: Extracting #2: cost 110 inf + 0 7.642 * * [simplify]: Extracting #3: cost 142 inf + 1440 7.650 * * [simplify]: Extracting #4: cost 41 inf + 15973 7.663 * * [simplify]: Extracting #5: cost 0 inf + 23364 7.678 * * [simplify]: Extracting #6: cost 0 inf + 23124 7.685 * [simplify]: Simplified to (- (* (* a c) (* a c)) (* (* b d) (* b d))) 7.685 * [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))))) 7.685 * * * * [progress]: [ 76 / 100 ] simplifiying candidate #real (real->posit16 (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))> 7.686 * * * * [progress]: [ 77 / 100 ] simplifiying candidate # 7.686 * [simplify]: Simplifying (* (exp (* a c)) (exp (* b d))) 7.686 * * [simplify]: iters left: 5 (9 enodes) 7.688 * * [simplify]: iters left: 4 (36 enodes) 7.693 * * [simplify]: iters left: 3 (55 enodes) 7.704 * * [simplify]: iters left: 2 (91 enodes) 7.737 * * [simplify]: iters left: 1 (191 enodes) 7.832 * * [simplify]: Extracting #0: cost 1 inf + 0 7.832 * * [simplify]: Extracting #1: cost 38 inf + 0 7.832 * * [simplify]: Extracting #2: cost 150 inf + 0 7.833 * * [simplify]: Extracting #3: cost 173 inf + 772 7.834 * * [simplify]: Extracting #4: cost 148 inf + 4628 7.836 * * [simplify]: Extracting #5: cost 93 inf + 18511 7.842 * * [simplify]: Extracting #6: cost 27 inf + 61555 7.850 * * [simplify]: Extracting #7: cost 0 inf + 82217 7.859 * [simplify]: Simplified to (exp (+ (* a c) (* b d))) 7.859 * [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))))) 7.859 * * * * [progress]: [ 78 / 100 ] simplifiying candidate # 7.860 * * * * [progress]: [ 79 / 100 ] simplifiying candidate # 7.860 * * * * [progress]: [ 80 / 100 ] simplifiying candidate # 7.860 * * * * [progress]: [ 81 / 100 ] simplifiying candidate # 7.860 * * * * [progress]: [ 82 / 100 ] simplifiying candidate # 7.860 * * * * [progress]: [ 83 / 100 ] simplifiying candidate # 7.860 * * * * [progress]: [ 84 / 100 ] simplifiying candidate # 7.860 * * * * [progress]: [ 85 / 100 ] simplifiying candidate # 7.860 * * * * [progress]: [ 86 / 100 ] simplifiying candidate # 7.860 * * * * [progress]: [ 87 / 100 ] simplifiying candidate #real (real->posit16 (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))> 7.860 * * * * [progress]: [ 88 / 100 ] simplifiying candidate # 7.860 * * * * [progress]: [ 89 / 100 ] simplifiying candidate # 7.860 * [simplify]: Simplifying d 7.860 * * [simplify]: iters left: 0 (1 enodes) 7.860 * * [simplify]: Extracting #0: cost 1 inf + 0 7.861 * * [simplify]: Extracting #1: cost 0 inf + 1 7.861 * [simplify]: Simplified to d 7.861 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) d)) 7.861 * * * * [progress]: [ 90 / 100 ] simplifiying candidate # 7.861 * [simplify]: Simplifying c 7.861 * * [simplify]: iters left: 0 (1 enodes) 7.861 * * [simplify]: Extracting #0: cost 1 inf + 0 7.861 * * [simplify]: Extracting #1: cost 0 inf + 1 7.861 * [simplify]: Simplified to c 7.861 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) c)) 7.861 * * * * [progress]: [ 91 / 100 ] simplifiying candidate # 7.861 * [simplify]: Simplifying (* -1 c) 7.861 * * [simplify]: iters left: 2 (3 enodes) 7.863 * * [simplify]: iters left: 1 (11 enodes) 7.864 * * [simplify]: Extracting #0: cost 1 inf + 0 7.864 * * [simplify]: Extracting #1: cost 4 inf + 0 7.864 * * [simplify]: Extracting #2: cost 0 inf + 84 7.864 * [simplify]: Simplified to (- c) 7.864 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (- c))) 7.864 * * * * [progress]: [ 92 / 100 ] simplifiying candidate # 7.865 * [simplify]: Simplifying d 7.865 * * [simplify]: iters left: 0 (1 enodes) 7.867 * * [simplify]: Extracting #0: cost 1 inf + 0 7.867 * * [simplify]: Extracting #1: cost 0 inf + 1 7.867 * [simplify]: Simplified to d 7.867 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) d) (sqrt (+ (* c c) (* d d))))) 7.868 * * * * [progress]: [ 93 / 100 ] simplifiying candidate # 7.868 * [simplify]: Simplifying c 7.868 * * [simplify]: iters left: 0 (1 enodes) 7.868 * * [simplify]: Extracting #0: cost 1 inf + 0 7.868 * * [simplify]: Extracting #1: cost 0 inf + 1 7.868 * [simplify]: Simplified to c 7.868 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) c) (sqrt (+ (* c c) (* d d))))) 7.868 * * * * [progress]: [ 94 / 100 ] simplifiying candidate # 7.868 * [simplify]: Simplifying (* -1 c) 7.868 * * [simplify]: iters left: 2 (3 enodes) 7.870 * * [simplify]: iters left: 1 (11 enodes) 7.871 * * [simplify]: Extracting #0: cost 1 inf + 0 7.871 * * [simplify]: Extracting #1: cost 4 inf + 0 7.871 * * [simplify]: Extracting #2: cost 0 inf + 84 7.871 * [simplify]: Simplified to (- c) 7.872 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (- c)) (sqrt (+ (* c c) (* d d))))) 7.872 * * * * [progress]: [ 95 / 100 ] simplifiying candidate # 7.872 * [simplify]: Simplifying b 7.872 * * [simplify]: iters left: 0 (1 enodes) 7.872 * * [simplify]: Extracting #0: cost 1 inf + 0 7.872 * * [simplify]: Extracting #1: cost 0 inf + 1 7.872 * [simplify]: Simplified to b 7.872 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d))))) 7.872 * * * * [progress]: [ 96 / 100 ] simplifiying candidate # 7.872 * [simplify]: Simplifying a 7.872 * * [simplify]: iters left: 0 (1 enodes) 7.873 * * [simplify]: Extracting #0: cost 1 inf + 0 7.873 * * [simplify]: Extracting #1: cost 0 inf + 1 7.873 * [simplify]: Simplified to a 7.873 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d))))) 7.873 * * * * [progress]: [ 97 / 100 ] simplifiying candidate # 7.873 * [simplify]: Simplifying (* -1 a) 7.873 * * [simplify]: iters left: 2 (3 enodes) 7.874 * * [simplify]: iters left: 1 (11 enodes) 7.876 * * [simplify]: Extracting #0: cost 1 inf + 0 7.876 * * [simplify]: Extracting #1: cost 4 inf + 0 7.876 * * [simplify]: Extracting #2: cost 0 inf + 84 7.876 * [simplify]: Simplified to (- a) 7.876 * [simplify]: Simplified (2 1) to (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d))))) 7.876 * * * * [progress]: [ 98 / 100 ] simplifiying candidate # 7.876 * [simplify]: Simplifying 0 7.876 * * [simplify]: iters left: 0 (1 enodes) 7.877 * * [simplify]: Extracting #0: cost 1 inf + 0 7.877 * * [simplify]: Extracting #1: cost 0 inf + 1 7.877 * [simplify]: Simplified to 0 7.877 * [simplify]: Simplified (2 1 1) to (λ (a b c d) (/ (/ 0 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) 7.877 * * * * [progress]: [ 99 / 100 ] simplifiying candidate # 7.877 * [simplify]: Simplifying (+ (* a c) (* b d)) 7.877 * * [simplify]: iters left: 4 (7 enodes) 7.879 * * [simplify]: iters left: 3 (24 enodes) 7.882 * * [simplify]: Extracting #0: cost 1 inf + 0 7.882 * * [simplify]: Extracting #1: cost 4 inf + 0 7.882 * * [simplify]: Extracting #2: cost 10 inf + 0 7.882 * * [simplify]: Extracting #3: cost 6 inf + 4 7.882 * * [simplify]: Extracting #4: cost 1 inf + 296 7.883 * * [simplify]: Extracting #5: cost 0 inf + 420 7.883 * [simplify]: Simplified to (+ (* b d) (* a c)) 7.883 * [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))))) 7.883 * * * * [progress]: [ 100 / 100 ] simplifiying candidate # 7.883 * [simplify]: Simplifying (+ (* a c) (* b d)) 7.883 * * [simplify]: iters left: 4 (7 enodes) 7.885 * * [simplify]: iters left: 3 (24 enodes) 7.888 * * [simplify]: Extracting #0: cost 1 inf + 0 7.888 * * [simplify]: Extracting #1: cost 4 inf + 0 7.888 * * [simplify]: Extracting #2: cost 10 inf + 0 7.888 * * [simplify]: Extracting #3: cost 6 inf + 4 7.888 * * [simplify]: Extracting #4: cost 1 inf + 296 7.888 * * [simplify]: Extracting #5: cost 0 inf + 420 7.888 * [simplify]: Simplified to (+ (* b d) (* a c)) 7.888 * [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))))) 7.888 * * * [progress]: adding candidates to table 9.072 * * [progress]: iteration 3 / 4 9.072 * * * [progress]: picking best candidate 9.109 * * * * [pick]: Picked # 9.109 * * * [progress]: localizing error 9.155 * * * [progress]: generating rewritten candidates 9.156 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 9.162 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 9.170 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 9.196 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 9.205 * * * [progress]: generating series expansions 9.205 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 9.205 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2))) 9.205 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0 9.205 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d 9.205 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 9.205 * [taylor]: Taking taylor expansion of (pow c 2) in d 9.205 * [taylor]: Taking taylor expansion of c in d 9.205 * [backup-simplify]: Simplify c into c 9.205 * [taylor]: Taking taylor expansion of (pow d 2) in d 9.205 * [taylor]: Taking taylor expansion of d in d 9.205 * [backup-simplify]: Simplify 0 into 0 9.205 * [backup-simplify]: Simplify 1 into 1 9.205 * [backup-simplify]: Simplify (* c c) into (pow c 2) 9.205 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 9.205 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c 9.205 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 9.206 * [backup-simplify]: Simplify (+ 0 0) into 0 9.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 9.206 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 9.206 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 9.206 * [taylor]: Taking taylor expansion of (pow c 2) in c 9.206 * [taylor]: Taking taylor expansion of c in c 9.206 * [backup-simplify]: Simplify 0 into 0 9.206 * [backup-simplify]: Simplify 1 into 1 9.206 * [taylor]: Taking taylor expansion of (pow d 2) in c 9.206 * [taylor]: Taking taylor expansion of d in c 9.206 * [backup-simplify]: Simplify d into d 9.206 * [backup-simplify]: Simplify (* d d) into (pow d 2) 9.206 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 9.206 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 9.206 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 9.207 * [backup-simplify]: Simplify (+ 0 0) into 0 9.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 9.207 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 9.207 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 9.207 * [taylor]: Taking taylor expansion of (pow c 2) in c 9.207 * [taylor]: Taking taylor expansion of c in c 9.207 * [backup-simplify]: Simplify 0 into 0 9.207 * [backup-simplify]: Simplify 1 into 1 9.207 * [taylor]: Taking taylor expansion of (pow d 2) in c 9.207 * [taylor]: Taking taylor expansion of d in c 9.207 * [backup-simplify]: Simplify d into d 9.207 * [backup-simplify]: Simplify (* d d) into (pow d 2) 9.207 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 9.207 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 9.207 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 9.207 * [backup-simplify]: Simplify (+ 0 0) into 0 9.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 9.207 * [taylor]: Taking taylor expansion of d in d 9.207 * [backup-simplify]: Simplify 0 into 0 9.208 * [backup-simplify]: Simplify 1 into 1 9.208 * [backup-simplify]: Simplify 0 into 0 9.208 * [taylor]: Taking taylor expansion of 0 in d 9.208 * [backup-simplify]: Simplify 0 into 0 9.208 * [backup-simplify]: Simplify 0 into 0 9.208 * [backup-simplify]: Simplify 1 into 1 9.208 * [backup-simplify]: Simplify (* 1 1) into 1 9.208 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 9.209 * [backup-simplify]: Simplify (+ 1 0) into 1 9.209 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) 9.209 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d 9.209 * [taylor]: Taking taylor expansion of 1/2 in d 9.209 * [backup-simplify]: Simplify 1/2 into 1/2 9.209 * [taylor]: Taking taylor expansion of d in d 9.209 * [backup-simplify]: Simplify 0 into 0 9.209 * [backup-simplify]: Simplify 1 into 1 9.209 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.210 * [backup-simplify]: Simplify 0 into 0 9.210 * [backup-simplify]: Simplify 0 into 0 9.210 * [backup-simplify]: Simplify 0 into 0 9.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.211 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 9.211 * [backup-simplify]: Simplify (+ 0 0) into 0 9.211 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 9.211 * [taylor]: Taking taylor expansion of 0 in d 9.211 * [backup-simplify]: Simplify 0 into 0 9.211 * [backup-simplify]: Simplify 0 into 0 9.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.212 * [backup-simplify]: Simplify 0 into 0 9.212 * [backup-simplify]: Simplify 0 into 0 9.212 * [backup-simplify]: Simplify (* 1 (* d 1)) into d 9.212 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 9.212 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 9.212 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 9.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 9.212 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 9.212 * [taylor]: Taking taylor expansion of (pow c 2) in d 9.212 * [taylor]: Taking taylor expansion of c in d 9.212 * [backup-simplify]: Simplify c into c 9.213 * [backup-simplify]: Simplify (* c c) into (pow c 2) 9.213 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 9.213 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 9.213 * [taylor]: Taking taylor expansion of (pow d 2) in d 9.213 * [taylor]: Taking taylor expansion of d in d 9.213 * [backup-simplify]: Simplify 0 into 0 9.213 * [backup-simplify]: Simplify 1 into 1 9.213 * [backup-simplify]: Simplify (* 1 1) into 1 9.213 * [backup-simplify]: Simplify (/ 1 1) into 1 9.213 * [backup-simplify]: Simplify (+ 0 1) into 1 9.214 * [backup-simplify]: Simplify (sqrt 1) into 1 9.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.215 * [backup-simplify]: Simplify (+ 0 0) into 0 9.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 9.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 9.216 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 9.216 * [taylor]: Taking taylor expansion of (pow c 2) in c 9.216 * [taylor]: Taking taylor expansion of c in c 9.216 * [backup-simplify]: Simplify 0 into 0 9.216 * [backup-simplify]: Simplify 1 into 1 9.217 * [backup-simplify]: Simplify (* 1 1) into 1 9.217 * [backup-simplify]: Simplify (/ 1 1) into 1 9.217 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 9.217 * [taylor]: Taking taylor expansion of (pow d 2) in c 9.217 * [taylor]: Taking taylor expansion of d in c 9.217 * [backup-simplify]: Simplify d into d 9.217 * [backup-simplify]: Simplify (* d d) into (pow d 2) 9.217 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 9.218 * [backup-simplify]: Simplify (+ 1 0) into 1 9.218 * [backup-simplify]: Simplify (sqrt 1) into 1 9.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.220 * [backup-simplify]: Simplify (+ 0 0) into 0 9.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.221 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 9.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 9.221 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 9.221 * [taylor]: Taking taylor expansion of (pow c 2) in c 9.221 * [taylor]: Taking taylor expansion of c in c 9.221 * [backup-simplify]: Simplify 0 into 0 9.221 * [backup-simplify]: Simplify 1 into 1 9.221 * [backup-simplify]: Simplify (* 1 1) into 1 9.222 * [backup-simplify]: Simplify (/ 1 1) into 1 9.222 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 9.222 * [taylor]: Taking taylor expansion of (pow d 2) in c 9.222 * [taylor]: Taking taylor expansion of d in c 9.222 * [backup-simplify]: Simplify d into d 9.222 * [backup-simplify]: Simplify (* d d) into (pow d 2) 9.222 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 9.223 * [backup-simplify]: Simplify (+ 1 0) into 1 9.223 * [backup-simplify]: Simplify (sqrt 1) into 1 9.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.225 * [backup-simplify]: Simplify (+ 0 0) into 0 9.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.231 * [taylor]: Taking taylor expansion of 1 in d 9.231 * [backup-simplify]: Simplify 1 into 1 9.231 * [taylor]: Taking taylor expansion of 0 in d 9.231 * [backup-simplify]: Simplify 0 into 0 9.231 * [backup-simplify]: Simplify 1 into 1 9.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.233 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 9.235 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 9.235 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 9.235 * [taylor]: Taking taylor expansion of 1/2 in d 9.235 * [backup-simplify]: Simplify 1/2 into 1/2 9.235 * [taylor]: Taking taylor expansion of (pow d 2) in d 9.235 * [taylor]: Taking taylor expansion of d in d 9.235 * [backup-simplify]: Simplify 0 into 0 9.235 * [backup-simplify]: Simplify 1 into 1 9.235 * [backup-simplify]: Simplify (* 1 1) into 1 9.236 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.238 * [backup-simplify]: Simplify 0 into 0 9.238 * [backup-simplify]: Simplify 0 into 0 9.238 * [backup-simplify]: Simplify 0 into 0 9.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.240 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 9.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 9.240 * [backup-simplify]: Simplify (+ 0 0) into 0 9.241 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 9.241 * [taylor]: Taking taylor expansion of 0 in d 9.241 * [backup-simplify]: Simplify 0 into 0 9.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.243 * [backup-simplify]: Simplify 0 into 0 9.244 * [backup-simplify]: Simplify 0 into 0 9.244 * [backup-simplify]: Simplify 0 into 0 9.244 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c 9.244 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 9.244 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 9.244 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 9.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 9.244 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 9.244 * [taylor]: Taking taylor expansion of (pow c 2) in d 9.244 * [taylor]: Taking taylor expansion of c in d 9.244 * [backup-simplify]: Simplify c into c 9.244 * [backup-simplify]: Simplify (* c c) into (pow c 2) 9.244 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 9.244 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 9.244 * [taylor]: Taking taylor expansion of (pow d 2) in d 9.244 * [taylor]: Taking taylor expansion of d in d 9.244 * [backup-simplify]: Simplify 0 into 0 9.245 * [backup-simplify]: Simplify 1 into 1 9.245 * [backup-simplify]: Simplify (* 1 1) into 1 9.245 * [backup-simplify]: Simplify (/ 1 1) into 1 9.246 * [backup-simplify]: Simplify (+ 0 1) into 1 9.246 * [backup-simplify]: Simplify (sqrt 1) into 1 9.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.248 * [backup-simplify]: Simplify (+ 0 0) into 0 9.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.249 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 9.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 9.249 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 9.249 * [taylor]: Taking taylor expansion of (pow c 2) in c 9.249 * [taylor]: Taking taylor expansion of c in c 9.249 * [backup-simplify]: Simplify 0 into 0 9.249 * [backup-simplify]: Simplify 1 into 1 9.249 * [backup-simplify]: Simplify (* 1 1) into 1 9.250 * [backup-simplify]: Simplify (/ 1 1) into 1 9.250 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 9.250 * [taylor]: Taking taylor expansion of (pow d 2) in c 9.250 * [taylor]: Taking taylor expansion of d in c 9.250 * [backup-simplify]: Simplify d into d 9.250 * [backup-simplify]: Simplify (* d d) into (pow d 2) 9.250 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 9.250 * [backup-simplify]: Simplify (+ 1 0) into 1 9.251 * [backup-simplify]: Simplify (sqrt 1) into 1 9.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.253 * [backup-simplify]: Simplify (+ 0 0) into 0 9.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.253 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 9.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 9.254 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 9.254 * [taylor]: Taking taylor expansion of (pow c 2) in c 9.254 * [taylor]: Taking taylor expansion of c in c 9.254 * [backup-simplify]: Simplify 0 into 0 9.254 * [backup-simplify]: Simplify 1 into 1 9.254 * [backup-simplify]: Simplify (* 1 1) into 1 9.254 * [backup-simplify]: Simplify (/ 1 1) into 1 9.254 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 9.254 * [taylor]: Taking taylor expansion of (pow d 2) in c 9.254 * [taylor]: Taking taylor expansion of d in c 9.255 * [backup-simplify]: Simplify d into d 9.255 * [backup-simplify]: Simplify (* d d) into (pow d 2) 9.255 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 9.255 * [backup-simplify]: Simplify (+ 1 0) into 1 9.256 * [backup-simplify]: Simplify (sqrt 1) into 1 9.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.257 * [backup-simplify]: Simplify (+ 0 0) into 0 9.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.258 * [taylor]: Taking taylor expansion of 1 in d 9.258 * [backup-simplify]: Simplify 1 into 1 9.258 * [taylor]: Taking taylor expansion of 0 in d 9.258 * [backup-simplify]: Simplify 0 into 0 9.258 * [backup-simplify]: Simplify 1 into 1 9.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.260 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 9.262 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 9.262 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 9.262 * [taylor]: Taking taylor expansion of 1/2 in d 9.262 * [backup-simplify]: Simplify 1/2 into 1/2 9.262 * [taylor]: Taking taylor expansion of (pow d 2) in d 9.262 * [taylor]: Taking taylor expansion of d in d 9.262 * [backup-simplify]: Simplify 0 into 0 9.262 * [backup-simplify]: Simplify 1 into 1 9.262 * [backup-simplify]: Simplify (* 1 1) into 1 9.263 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.265 * [backup-simplify]: Simplify 0 into 0 9.265 * [backup-simplify]: Simplify 0 into 0 9.265 * [backup-simplify]: Simplify 0 into 0 9.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.267 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 9.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 9.267 * [backup-simplify]: Simplify (+ 0 0) into 0 9.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 9.268 * [taylor]: Taking taylor expansion of 0 in d 9.268 * [backup-simplify]: Simplify 0 into 0 9.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.270 * [backup-simplify]: Simplify 0 into 0 9.270 * [backup-simplify]: Simplify 0 into 0 9.270 * [backup-simplify]: Simplify 0 into 0 9.270 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) 9.270 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 9.270 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2))) 9.270 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0 9.270 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d 9.270 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 9.270 * [taylor]: Taking taylor expansion of (pow c 2) in d 9.270 * [taylor]: Taking taylor expansion of c in d 9.270 * [backup-simplify]: Simplify c into c 9.271 * [taylor]: Taking taylor expansion of (pow d 2) in d 9.271 * [taylor]: Taking taylor expansion of d in d 9.271 * [backup-simplify]: Simplify 0 into 0 9.271 * [backup-simplify]: Simplify 1 into 1 9.271 * [backup-simplify]: Simplify (* c c) into (pow c 2) 9.271 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 9.271 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c 9.271 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 9.271 * [backup-simplify]: Simplify (+ 0 0) into 0 9.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 9.271 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 9.271 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 9.271 * [taylor]: Taking taylor expansion of (pow c 2) in c 9.271 * [taylor]: Taking taylor expansion of c in c 9.271 * [backup-simplify]: Simplify 0 into 0 9.271 * [backup-simplify]: Simplify 1 into 1 9.271 * [taylor]: Taking taylor expansion of (pow d 2) in c 9.271 * [taylor]: Taking taylor expansion of d in c 9.271 * [backup-simplify]: Simplify d into d 9.271 * [backup-simplify]: Simplify (* d d) into (pow d 2) 9.271 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 9.271 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 9.271 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 9.272 * [backup-simplify]: Simplify (+ 0 0) into 0 9.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 9.272 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 9.272 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 9.272 * [taylor]: Taking taylor expansion of (pow c 2) in c 9.272 * [taylor]: Taking taylor expansion of c in c 9.272 * [backup-simplify]: Simplify 0 into 0 9.272 * [backup-simplify]: Simplify 1 into 1 9.272 * [taylor]: Taking taylor expansion of (pow d 2) in c 9.272 * [taylor]: Taking taylor expansion of d in c 9.272 * [backup-simplify]: Simplify d into d 9.272 * [backup-simplify]: Simplify (* d d) into (pow d 2) 9.272 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 9.272 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 9.272 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 9.272 * [backup-simplify]: Simplify (+ 0 0) into 0 9.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 9.272 * [taylor]: Taking taylor expansion of d in d 9.273 * [backup-simplify]: Simplify 0 into 0 9.273 * [backup-simplify]: Simplify 1 into 1 9.273 * [backup-simplify]: Simplify 0 into 0 9.273 * [taylor]: Taking taylor expansion of 0 in d 9.273 * [backup-simplify]: Simplify 0 into 0 9.273 * [backup-simplify]: Simplify 0 into 0 9.273 * [backup-simplify]: Simplify 1 into 1 9.273 * [backup-simplify]: Simplify (* 1 1) into 1 9.273 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 9.273 * [backup-simplify]: Simplify (+ 1 0) into 1 9.274 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) 9.274 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d 9.274 * [taylor]: Taking taylor expansion of 1/2 in d 9.274 * [backup-simplify]: Simplify 1/2 into 1/2 9.274 * [taylor]: Taking taylor expansion of d in d 9.274 * [backup-simplify]: Simplify 0 into 0 9.274 * [backup-simplify]: Simplify 1 into 1 9.274 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.275 * [backup-simplify]: Simplify 0 into 0 9.275 * [backup-simplify]: Simplify 0 into 0 9.275 * [backup-simplify]: Simplify 0 into 0 9.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.276 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 9.276 * [backup-simplify]: Simplify (+ 0 0) into 0 9.276 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 9.276 * [taylor]: Taking taylor expansion of 0 in d 9.276 * [backup-simplify]: Simplify 0 into 0 9.276 * [backup-simplify]: Simplify 0 into 0 9.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.277 * [backup-simplify]: Simplify 0 into 0 9.277 * [backup-simplify]: Simplify 0 into 0 9.277 * [backup-simplify]: Simplify (* 1 (* d 1)) into d 9.277 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 9.277 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 9.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 9.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 9.277 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 9.277 * [taylor]: Taking taylor expansion of (pow c 2) in d 9.277 * [taylor]: Taking taylor expansion of c in d 9.277 * [backup-simplify]: Simplify c into c 9.277 * [backup-simplify]: Simplify (* c c) into (pow c 2) 9.277 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 9.277 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 9.277 * [taylor]: Taking taylor expansion of (pow d 2) in d 9.278 * [taylor]: Taking taylor expansion of d in d 9.278 * [backup-simplify]: Simplify 0 into 0 9.278 * [backup-simplify]: Simplify 1 into 1 9.278 * [backup-simplify]: Simplify (* 1 1) into 1 9.278 * [backup-simplify]: Simplify (/ 1 1) into 1 9.278 * [backup-simplify]: Simplify (+ 0 1) into 1 9.279 * [backup-simplify]: Simplify (sqrt 1) into 1 9.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.280 * [backup-simplify]: Simplify (+ 0 0) into 0 9.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 9.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 9.280 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 9.280 * [taylor]: Taking taylor expansion of (pow c 2) in c 9.280 * [taylor]: Taking taylor expansion of c in c 9.280 * [backup-simplify]: Simplify 0 into 0 9.280 * [backup-simplify]: Simplify 1 into 1 9.280 * [backup-simplify]: Simplify (* 1 1) into 1 9.281 * [backup-simplify]: Simplify (/ 1 1) into 1 9.281 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 9.281 * [taylor]: Taking taylor expansion of (pow d 2) in c 9.281 * [taylor]: Taking taylor expansion of d in c 9.281 * [backup-simplify]: Simplify d into d 9.281 * [backup-simplify]: Simplify (* d d) into (pow d 2) 9.281 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 9.281 * [backup-simplify]: Simplify (+ 1 0) into 1 9.281 * [backup-simplify]: Simplify (sqrt 1) into 1 9.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.283 * [backup-simplify]: Simplify (+ 0 0) into 0 9.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 9.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 9.283 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 9.283 * [taylor]: Taking taylor expansion of (pow c 2) in c 9.283 * [taylor]: Taking taylor expansion of c in c 9.283 * [backup-simplify]: Simplify 0 into 0 9.283 * [backup-simplify]: Simplify 1 into 1 9.283 * [backup-simplify]: Simplify (* 1 1) into 1 9.284 * [backup-simplify]: Simplify (/ 1 1) into 1 9.284 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 9.284 * [taylor]: Taking taylor expansion of (pow d 2) in c 9.284 * [taylor]: Taking taylor expansion of d in c 9.284 * [backup-simplify]: Simplify d into d 9.284 * [backup-simplify]: Simplify (* d d) into (pow d 2) 9.284 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 9.284 * [backup-simplify]: Simplify (+ 1 0) into 1 9.284 * [backup-simplify]: Simplify (sqrt 1) into 1 9.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.285 * [backup-simplify]: Simplify (+ 0 0) into 0 9.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.286 * [taylor]: Taking taylor expansion of 1 in d 9.286 * [backup-simplify]: Simplify 1 into 1 9.286 * [taylor]: Taking taylor expansion of 0 in d 9.286 * [backup-simplify]: Simplify 0 into 0 9.286 * [backup-simplify]: Simplify 1 into 1 9.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.287 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 9.288 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 9.288 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 9.288 * [taylor]: Taking taylor expansion of 1/2 in d 9.288 * [backup-simplify]: Simplify 1/2 into 1/2 9.288 * [taylor]: Taking taylor expansion of (pow d 2) in d 9.288 * [taylor]: Taking taylor expansion of d in d 9.288 * [backup-simplify]: Simplify 0 into 0 9.288 * [backup-simplify]: Simplify 1 into 1 9.289 * [backup-simplify]: Simplify (* 1 1) into 1 9.289 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.290 * [backup-simplify]: Simplify 0 into 0 9.290 * [backup-simplify]: Simplify 0 into 0 9.290 * [backup-simplify]: Simplify 0 into 0 9.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.291 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 9.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 9.292 * [backup-simplify]: Simplify (+ 0 0) into 0 9.292 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 9.292 * [taylor]: Taking taylor expansion of 0 in d 9.292 * [backup-simplify]: Simplify 0 into 0 9.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.293 * [backup-simplify]: Simplify 0 into 0 9.293 * [backup-simplify]: Simplify 0 into 0 9.293 * [backup-simplify]: Simplify 0 into 0 9.293 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c 9.294 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 9.294 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 9.294 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 9.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 9.294 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 9.294 * [taylor]: Taking taylor expansion of (pow c 2) in d 9.294 * [taylor]: Taking taylor expansion of c in d 9.294 * [backup-simplify]: Simplify c into c 9.294 * [backup-simplify]: Simplify (* c c) into (pow c 2) 9.294 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 9.294 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 9.294 * [taylor]: Taking taylor expansion of (pow d 2) in d 9.294 * [taylor]: Taking taylor expansion of d in d 9.294 * [backup-simplify]: Simplify 0 into 0 9.294 * [backup-simplify]: Simplify 1 into 1 9.294 * [backup-simplify]: Simplify (* 1 1) into 1 9.294 * [backup-simplify]: Simplify (/ 1 1) into 1 9.295 * [backup-simplify]: Simplify (+ 0 1) into 1 9.295 * [backup-simplify]: Simplify (sqrt 1) into 1 9.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.296 * [backup-simplify]: Simplify (+ 0 0) into 0 9.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.296 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 9.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 9.296 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 9.297 * [taylor]: Taking taylor expansion of (pow c 2) in c 9.297 * [taylor]: Taking taylor expansion of c in c 9.297 * [backup-simplify]: Simplify 0 into 0 9.297 * [backup-simplify]: Simplify 1 into 1 9.297 * [backup-simplify]: Simplify (* 1 1) into 1 9.297 * [backup-simplify]: Simplify (/ 1 1) into 1 9.297 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 9.297 * [taylor]: Taking taylor expansion of (pow d 2) in c 9.297 * [taylor]: Taking taylor expansion of d in c 9.297 * [backup-simplify]: Simplify d into d 9.297 * [backup-simplify]: Simplify (* d d) into (pow d 2) 9.297 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 9.297 * [backup-simplify]: Simplify (+ 1 0) into 1 9.298 * [backup-simplify]: Simplify (sqrt 1) into 1 9.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.299 * [backup-simplify]: Simplify (+ 0 0) into 0 9.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 9.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 9.300 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 9.300 * [taylor]: Taking taylor expansion of (pow c 2) in c 9.300 * [taylor]: Taking taylor expansion of c in c 9.300 * [backup-simplify]: Simplify 0 into 0 9.300 * [backup-simplify]: Simplify 1 into 1 9.301 * [backup-simplify]: Simplify (* 1 1) into 1 9.301 * [backup-simplify]: Simplify (/ 1 1) into 1 9.301 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 9.301 * [taylor]: Taking taylor expansion of (pow d 2) in c 9.301 * [taylor]: Taking taylor expansion of d in c 9.301 * [backup-simplify]: Simplify d into d 9.301 * [backup-simplify]: Simplify (* d d) into (pow d 2) 9.301 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 9.302 * [backup-simplify]: Simplify (+ 1 0) into 1 9.302 * [backup-simplify]: Simplify (sqrt 1) into 1 9.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.304 * [backup-simplify]: Simplify (+ 0 0) into 0 9.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.305 * [taylor]: Taking taylor expansion of 1 in d 9.305 * [backup-simplify]: Simplify 1 into 1 9.305 * [taylor]: Taking taylor expansion of 0 in d 9.305 * [backup-simplify]: Simplify 0 into 0 9.305 * [backup-simplify]: Simplify 1 into 1 9.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.307 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 9.308 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 9.308 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 9.309 * [taylor]: Taking taylor expansion of 1/2 in d 9.309 * [backup-simplify]: Simplify 1/2 into 1/2 9.309 * [taylor]: Taking taylor expansion of (pow d 2) in d 9.309 * [taylor]: Taking taylor expansion of d in d 9.309 * [backup-simplify]: Simplify 0 into 0 9.309 * [backup-simplify]: Simplify 1 into 1 9.309 * [backup-simplify]: Simplify (* 1 1) into 1 9.309 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.311 * [backup-simplify]: Simplify 0 into 0 9.311 * [backup-simplify]: Simplify 0 into 0 9.311 * [backup-simplify]: Simplify 0 into 0 9.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.313 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 9.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 9.314 * [backup-simplify]: Simplify (+ 0 0) into 0 9.314 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 9.314 * [taylor]: Taking taylor expansion of 0 in d 9.314 * [backup-simplify]: Simplify 0 into 0 9.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.316 * [backup-simplify]: Simplify 0 into 0 9.316 * [backup-simplify]: Simplify 0 into 0 9.317 * [backup-simplify]: Simplify 0 into 0 9.317 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) 9.317 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 9.317 * [backup-simplify]: Simplify (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))) into (* (/ 1 (+ (* a c) (* b d))) (sqrt (+ (pow c 2) (pow d 2)))) 9.317 * [approximate]: Taking taylor expansion of (* (/ 1 (+ (* a c) (* b d))) (sqrt (+ (pow c 2) (pow d 2)))) in (c d a b) around 0 9.317 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (* a c) (* b d))) (sqrt (+ (pow c 2) (pow d 2)))) in b 9.317 * [taylor]: Taking taylor expansion of (/ 1 (+ (* a c) (* b d))) in b 9.317 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b 9.317 * [taylor]: Taking taylor expansion of (* a c) in b 9.317 * [taylor]: Taking taylor expansion of a in b 9.317 * [backup-simplify]: Simplify a into a 9.317 * [taylor]: Taking taylor expansion of c in b 9.317 * [backup-simplify]: Simplify c into c 9.317 * [taylor]: Taking taylor expansion of (* b d) in b 9.317 * [taylor]: Taking taylor expansion of b in b 9.317 * [backup-simplify]: Simplify 0 into 0 9.317 * [backup-simplify]: Simplify 1 into 1 9.317 * [taylor]: Taking taylor expansion of d in b 9.317 * [backup-simplify]: Simplify d into d 9.317 * [backup-simplify]: Simplify (* a c) into (* a c) 9.318 * [backup-simplify]: Simplify (* 0 d) into 0 9.318 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c) 9.318 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 9.318 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in b 9.318 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b 9.318 * [taylor]: Taking taylor expansion of (pow c 2) in b 9.318 * [taylor]: Taking taylor expansion of c in b 9.318 * [backup-simplify]: Simplify c into c 9.318 * [taylor]: Taking taylor expansion of (pow d 2) in b 9.318 * [taylor]: Taking taylor expansion of d in b 9.318 * [backup-simplify]: Simplify d into d 9.318 * [backup-simplify]: Simplify (* c c) into (pow c 2) 9.318 * [backup-simplify]: Simplify (* d d) into (pow d 2) 9.318 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 9.318 * [backup-simplify]: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) 9.318 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 9.319 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 9.319 * [backup-simplify]: Simplify (+ 0 0) into 0 9.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 9.319 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (* a c) (* b d))) (sqrt (+ (pow c 2) (pow d 2)))) in a 9.319 * [taylor]: Taking taylor expansion of (/ 1 (+ (* a c) (* b d))) in a 9.319 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 9.319 * [taylor]: Taking taylor expansion of (* a c) in a 9.319 * [taylor]: Taking taylor expansion of a in a 9.319 * [backup-simplify]: Simplify 0 into 0 9.319 * [backup-simplify]: Simplify 1 into 1 9.319 * [taylor]: Taking taylor expansion of c in a 9.319 * [backup-simplify]: Simplify c into c 9.319 * [taylor]: Taking taylor expansion of (* b d) in a 9.319 * [taylor]: Taking taylor expansion of b in a 9.320 * [backup-simplify]: Simplify b into b 9.320 * [taylor]: Taking taylor expansion of d in a 9.320 * [backup-simplify]: Simplify d into d 9.320 * [backup-simplify]: Simplify (* 0 c) into 0 9.320 * [backup-simplify]: Simplify (* b d) into (* b d) 9.320 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 9.320 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 9.320 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in a 9.320 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a 9.320 * [taylor]: Taking taylor expansion of (pow c 2) in a 9.320 * [taylor]: Taking taylor expansion of c in a 9.320 * [backup-simplify]: Simplify c into c 9.320 * [taylor]: Taking taylor expansion of (pow d 2) in a 9.320 * [taylor]: Taking taylor expansion of d in a 9.320 * [backup-simplify]: Simplify d into d 9.320 * [backup-simplify]: Simplify (* c c) into (pow c 2) 9.320 * [backup-simplify]: Simplify (* d d) into (pow d 2) 9.320 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 9.321 * [backup-simplify]: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) 9.321 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 9.321 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 9.321 * [backup-simplify]: Simplify (+ 0 0) into 0 9.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 9.321 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (* a c) (* b d))) (sqrt (+ (pow c 2) (pow d 2)))) in d 9.322 * [taylor]: Taking taylor expansion of (/ 1 (+ (* a c) (* b d))) in d 9.322 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d 9.322 * [taylor]: Taking taylor expansion of (* a c) in d 9.322 * [taylor]: Taking taylor expansion of a in d 9.322 * [backup-simplify]: Simplify a into a 9.322 * [taylor]: Taking taylor expansion of c in d 9.322 * [backup-simplify]: Simplify c into c 9.322 * [taylor]: Taking taylor expansion of (* b d) in d 9.322 * [taylor]: Taking taylor expansion of b in d 9.322 * [backup-simplify]: Simplify b into b 9.322 * [taylor]: Taking taylor expansion of d in d 9.322 * [backup-simplify]: Simplify 0 into 0 9.322 * [backup-simplify]: Simplify 1 into 1 9.322 * [backup-simplify]: Simplify (* a c) into (* a c) 9.322 * [backup-simplify]: Simplify (* b 0) into 0 9.322 * [backup-simplify]: Simplify (+ (* a c) 0) into (* a c) 9.322 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 9.322 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d 9.322 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 9.322 * [taylor]: Taking taylor expansion of (pow c 2) in d 9.322 * [taylor]: Taking taylor expansion of c in d 9.322 * [backup-simplify]: Simplify c into c 9.322 * [taylor]: Taking taylor expansion of (pow d 2) in d 9.322 * [taylor]: Taking taylor expansion of d in d 9.322 * [backup-simplify]: Simplify 0 into 0 9.322 * [backup-simplify]: Simplify 1 into 1 9.322 * [backup-simplify]: Simplify (* c c) into (pow c 2) 9.322 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 9.323 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c 9.323 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 9.323 * [backup-simplify]: Simplify (+ 0 0) into 0 9.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 9.323 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (* a c) (* b d))) (sqrt (+ (pow c 2) (pow d 2)))) in c 9.323 * [taylor]: Taking taylor expansion of (/ 1 (+ (* a c) (* b d))) in c 9.323 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c 9.323 * [taylor]: Taking taylor expansion of (* a c) in c 9.323 * [taylor]: Taking taylor expansion of a in c 9.323 * [backup-simplify]: Simplify a into a 9.323 * [taylor]: Taking taylor expansion of c in c 9.323 * [backup-simplify]: Simplify 0 into 0 9.323 * [backup-simplify]: Simplify 1 into 1 9.323 * [taylor]: Taking taylor expansion of (* b d) in c 9.323 * [taylor]: Taking taylor expansion of b in c 9.324 * [backup-simplify]: Simplify b into b 9.324 * [taylor]: Taking taylor expansion of d in c 9.324 * [backup-simplify]: Simplify d into d 9.324 * [backup-simplify]: Simplify (* a 0) into 0 9.324 * [backup-simplify]: Simplify (* b d) into (* b d) 9.324 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 9.324 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 9.324 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 9.324 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 9.324 * [taylor]: Taking taylor expansion of (pow c 2) in c 9.324 * [taylor]: Taking taylor expansion of c in c 9.324 * [backup-simplify]: Simplify 0 into 0 9.324 * [backup-simplify]: Simplify 1 into 1 9.324 * [taylor]: Taking taylor expansion of (pow d 2) in c 9.324 * [taylor]: Taking taylor expansion of d in c 9.324 * [backup-simplify]: Simplify d into d 9.324 * [backup-simplify]: Simplify (* d d) into (pow d 2) 9.324 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 9.324 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 9.324 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 9.325 * [backup-simplify]: Simplify (+ 0 0) into 0 9.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 9.325 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (* a c) (* b d))) (sqrt (+ (pow c 2) (pow d 2)))) in c 9.325 * [taylor]: Taking taylor expansion of (/ 1 (+ (* a c) (* b d))) in c 9.325 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c 9.325 * [taylor]: Taking taylor expansion of (* a c) in c 9.325 * [taylor]: Taking taylor expansion of a in c 9.325 * [backup-simplify]: Simplify a into a 9.325 * [taylor]: Taking taylor expansion of c in c 9.325 * [backup-simplify]: Simplify 0 into 0 9.325 * [backup-simplify]: Simplify 1 into 1 9.325 * [taylor]: Taking taylor expansion of (* b d) in c 9.325 * [taylor]: Taking taylor expansion of b in c 9.325 * [backup-simplify]: Simplify b into b 9.325 * [taylor]: Taking taylor expansion of d in c 9.325 * [backup-simplify]: Simplify d into d 9.325 * [backup-simplify]: Simplify (* a 0) into 0 9.325 * [backup-simplify]: Simplify (* b d) into (* b d) 9.325 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 9.326 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 9.326 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 9.326 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 9.326 * [taylor]: Taking taylor expansion of (pow c 2) in c 9.326 * [taylor]: Taking taylor expansion of c in c 9.326 * [backup-simplify]: Simplify 0 into 0 9.326 * [backup-simplify]: Simplify 1 into 1 9.326 * [taylor]: Taking taylor expansion of (pow d 2) in c 9.326 * [taylor]: Taking taylor expansion of d in c 9.326 * [backup-simplify]: Simplify d into d 9.326 * [backup-simplify]: Simplify (* d d) into (pow d 2) 9.326 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 9.326 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 9.326 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 9.327 * [backup-simplify]: Simplify (+ 0 0) into 0 9.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 9.327 * [backup-simplify]: Simplify (* (/ 1 (* b d)) d) into (/ 1 b) 9.327 * [taylor]: Taking taylor expansion of (/ 1 b) in d 9.327 * [taylor]: Taking taylor expansion of b in d 9.327 * [backup-simplify]: Simplify b into b 9.327 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.327 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.327 * [taylor]: Taking taylor expansion of b in a 9.327 * [backup-simplify]: Simplify b into b 9.327 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.327 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.327 * [taylor]: Taking taylor expansion of b in b 9.327 * [backup-simplify]: Simplify 0 into 0 9.327 * [backup-simplify]: Simplify 1 into 1 9.328 * [backup-simplify]: Simplify (/ 1 1) into 1 9.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.328 * [backup-simplify]: Simplify 0 into 0 9.329 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 9.329 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 9.329 * [backup-simplify]: Simplify (+ a 0) into a 9.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ a (* b d))))) into (- (/ a (* (pow b 2) (pow d 2)))) 9.330 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* (- (/ a (* (pow b 2) (pow d 2)))) d)) into (- (/ a (* (pow b 2) d))) 9.330 * [taylor]: Taking taylor expansion of (- (/ a (* (pow b 2) d))) in d 9.330 * [taylor]: Taking taylor expansion of (/ a (* (pow b 2) d)) in d 9.330 * [taylor]: Taking taylor expansion of a in d 9.330 * [backup-simplify]: Simplify a into a 9.330 * [taylor]: Taking taylor expansion of (* (pow b 2) d) in d 9.330 * [taylor]: Taking taylor expansion of (pow b 2) in d 9.330 * [taylor]: Taking taylor expansion of b in d 9.330 * [backup-simplify]: Simplify b into b 9.330 * [taylor]: Taking taylor expansion of d in d 9.330 * [backup-simplify]: Simplify 0 into 0 9.330 * [backup-simplify]: Simplify 1 into 1 9.330 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.330 * [backup-simplify]: Simplify (* (pow b 2) 0) into 0 9.330 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.331 * [backup-simplify]: Simplify (+ (* (pow b 2) 1) (* 0 0)) into (pow b 2) 9.331 * [backup-simplify]: Simplify (/ a (pow b 2)) into (/ a (pow b 2)) 9.331 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 9.332 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 1) (* 0 0))) into 0 9.332 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ a (pow b 2)) (/ 0 (pow b 2))))) into 0 9.333 * [backup-simplify]: Simplify (- 0) into 0 9.333 * [taylor]: Taking taylor expansion of 0 in a 9.333 * [backup-simplify]: Simplify 0 into 0 9.333 * [taylor]: Taking taylor expansion of 0 in b 9.333 * [backup-simplify]: Simplify 0 into 0 9.333 * [backup-simplify]: Simplify 0 into 0 9.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.333 * [taylor]: Taking taylor expansion of 0 in a 9.333 * [backup-simplify]: Simplify 0 into 0 9.333 * [taylor]: Taking taylor expansion of 0 in b 9.333 * [backup-simplify]: Simplify 0 into 0 9.333 * [backup-simplify]: Simplify 0 into 0 9.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.334 * [taylor]: Taking taylor expansion of 0 in b 9.334 * [backup-simplify]: Simplify 0 into 0 9.334 * [backup-simplify]: Simplify 0 into 0 9.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.335 * [backup-simplify]: Simplify 0 into 0 9.335 * [backup-simplify]: Simplify (* 1 1) into 1 9.335 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 9.336 * [backup-simplify]: Simplify (+ 1 0) into 1 9.337 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) 9.338 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 9.338 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 9.338 * [backup-simplify]: Simplify (+ 0 0) into 0 9.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* (- (/ a (* (pow b 2) (pow d 2)))) (/ a (* b d))))) into (/ (pow a 2) (* (pow b 3) (pow d 3))) 9.340 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) (/ 1/2 d)) (+ (* (- (/ a (* (pow b 2) (pow d 2)))) 0) (* (/ (pow a 2) (* (pow b 3) (pow d 3))) d))) into (+ (/ (pow a 2) (* (pow b 3) (pow d 2))) (* 1/2 (/ 1 (* b (pow d 2))))) 9.340 * [taylor]: Taking taylor expansion of (+ (/ (pow a 2) (* (pow b 3) (pow d 2))) (* 1/2 (/ 1 (* b (pow d 2))))) in d 9.340 * [taylor]: Taking taylor expansion of (/ (pow a 2) (* (pow b 3) (pow d 2))) in d 9.340 * [taylor]: Taking taylor expansion of (pow a 2) in d 9.340 * [taylor]: Taking taylor expansion of a in d 9.340 * [backup-simplify]: Simplify a into a 9.340 * [taylor]: Taking taylor expansion of (* (pow b 3) (pow d 2)) in d 9.340 * [taylor]: Taking taylor expansion of (pow b 3) in d 9.340 * [taylor]: Taking taylor expansion of b in d 9.340 * [backup-simplify]: Simplify b into b 9.340 * [taylor]: Taking taylor expansion of (pow d 2) in d 9.340 * [taylor]: Taking taylor expansion of d in d 9.340 * [backup-simplify]: Simplify 0 into 0 9.340 * [backup-simplify]: Simplify 1 into 1 9.340 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.340 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.340 * [backup-simplify]: Simplify (* b (pow b 2)) into (pow b 3) 9.341 * [backup-simplify]: Simplify (* 1 1) into 1 9.341 * [backup-simplify]: Simplify (* (pow b 3) 1) into (pow b 3) 9.341 * [backup-simplify]: Simplify (/ (pow a 2) (pow b 3)) into (/ (pow a 2) (pow b 3)) 9.341 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* b (pow d 2)))) in d 9.341 * [taylor]: Taking taylor expansion of 1/2 in d 9.341 * [backup-simplify]: Simplify 1/2 into 1/2 9.341 * [taylor]: Taking taylor expansion of (/ 1 (* b (pow d 2))) in d 9.341 * [taylor]: Taking taylor expansion of (* b (pow d 2)) in d 9.341 * [taylor]: Taking taylor expansion of b in d 9.341 * [backup-simplify]: Simplify b into b 9.341 * [taylor]: Taking taylor expansion of (pow d 2) in d 9.341 * [taylor]: Taking taylor expansion of d in d 9.341 * [backup-simplify]: Simplify 0 into 0 9.341 * [backup-simplify]: Simplify 1 into 1 9.342 * [backup-simplify]: Simplify (* 1 1) into 1 9.342 * [backup-simplify]: Simplify (* b 1) into b 9.342 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.342 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 9.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.343 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.343 * [backup-simplify]: Simplify (+ (* b 0) (* 0 (pow b 2))) into 0 9.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.345 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 9.345 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 9.346 * [backup-simplify]: Simplify (+ (* (pow b 3) 0) (+ (* 0 0) (* 0 1))) into 0 9.346 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 9.346 * [backup-simplify]: Simplify (+ (* (pow b 3) 0) (* 0 1)) into 0 9.347 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ (pow a 2) (pow b 3)) (/ 0 (pow b 3))))) into 0 9.347 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ (pow a 2) (pow b 3)) (/ 0 (pow b 3))) (* 0 (/ 0 (pow b 3))))) into 0 9.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.349 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 1))) into 0 9.350 * [backup-simplify]: Simplify (+ (* b 0) (* 0 1)) into 0 9.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 9.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 9.351 * [backup-simplify]: Simplify (+ 0 0) into 0 9.351 * [taylor]: Taking taylor expansion of 0 in a 9.352 * [backup-simplify]: Simplify 0 into 0 9.352 * [taylor]: Taking taylor expansion of 0 in b 9.352 * [backup-simplify]: Simplify 0 into 0 9.352 * [backup-simplify]: Simplify 0 into 0 9.352 * [backup-simplify]: Simplify 0 into 0 9.352 * [backup-simplify]: Simplify (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d)))) into (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 9.352 * [approximate]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in (c d a b) around 0 9.352 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b 9.352 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in b 9.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 9.352 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 9.352 * [taylor]: Taking taylor expansion of (* b d) in b 9.352 * [taylor]: Taking taylor expansion of b in b 9.352 * [backup-simplify]: Simplify 0 into 0 9.352 * [backup-simplify]: Simplify 1 into 1 9.352 * [taylor]: Taking taylor expansion of d in b 9.352 * [backup-simplify]: Simplify d into d 9.353 * [backup-simplify]: Simplify (* 0 d) into 0 9.353 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 9.353 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 9.353 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 9.353 * [taylor]: Taking taylor expansion of (* a c) in b 9.353 * [taylor]: Taking taylor expansion of a in b 9.353 * [backup-simplify]: Simplify a into a 9.353 * [taylor]: Taking taylor expansion of c in b 9.353 * [backup-simplify]: Simplify c into c 9.353 * [backup-simplify]: Simplify (* a c) into (* a c) 9.353 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 9.353 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 9.353 * [backup-simplify]: Simplify (/ 1 (/ 1 d)) into d 9.353 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 9.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 9.354 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 9.354 * [taylor]: Taking taylor expansion of (pow c 2) in b 9.354 * [taylor]: Taking taylor expansion of c in b 9.354 * [backup-simplify]: Simplify c into c 9.354 * [backup-simplify]: Simplify (* c c) into (pow c 2) 9.354 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 9.354 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 9.354 * [taylor]: Taking taylor expansion of (pow d 2) in b 9.354 * [taylor]: Taking taylor expansion of d in b 9.354 * [backup-simplify]: Simplify d into d 9.354 * [backup-simplify]: Simplify (* d d) into (pow d 2) 9.354 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 9.354 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 9.354 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 9.355 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 9.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 9.355 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 9.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 9.355 * [backup-simplify]: Simplify (+ 0 0) into 0 9.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 9.356 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a 9.356 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in a 9.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 9.356 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 9.356 * [taylor]: Taking taylor expansion of (* b d) in a 9.356 * [taylor]: Taking taylor expansion of b in a 9.356 * [backup-simplify]: Simplify b into b 9.356 * [taylor]: Taking taylor expansion of d in a 9.356 * [backup-simplify]: Simplify d into d 9.356 * [backup-simplify]: Simplify (* b d) into (* b d) 9.356 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 9.356 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 9.356 * [taylor]: Taking taylor expansion of (* a c) in a 9.356 * [taylor]: Taking taylor expansion of a in a 9.356 * [backup-simplify]: Simplify 0 into 0 9.356 * [backup-simplify]: Simplify 1 into 1 9.356 * [taylor]: Taking taylor expansion of c in a 9.356 * [backup-simplify]: Simplify c into c 9.356 * [backup-simplify]: Simplify (* 0 c) into 0 9.357 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 9.357 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 9.357 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 9.357 * [backup-simplify]: Simplify (/ 1 (/ 1 c)) into c 9.357 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 9.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 9.357 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 9.357 * [taylor]: Taking taylor expansion of (pow c 2) in a 9.357 * [taylor]: Taking taylor expansion of c in a 9.357 * [backup-simplify]: Simplify c into c 9.357 * [backup-simplify]: Simplify (* c c) into (pow c 2) 9.357 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 9.357 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 9.357 * [taylor]: Taking taylor expansion of (pow d 2) in a 9.357 * [taylor]: Taking taylor expansion of d in a 9.357 * [backup-simplify]: Simplify d into d 9.357 * [backup-simplify]: Simplify (* d d) into (pow d 2) 9.357 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 9.358 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 9.358 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 9.358 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 9.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 9.358 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 9.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 9.359 * [backup-simplify]: Simplify (+ 0 0) into 0 9.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 9.359 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d 9.359 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in d 9.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 9.359 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 9.359 * [taylor]: Taking taylor expansion of (* b d) in d 9.359 * [taylor]: Taking taylor expansion of b in d 9.359 * [backup-simplify]: Simplify b into b 9.359 * [taylor]: Taking taylor expansion of d in d 9.359 * [backup-simplify]: Simplify 0 into 0 9.359 * [backup-simplify]: Simplify 1 into 1 9.359 * [backup-simplify]: Simplify (* b 0) into 0 9.360 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 9.360 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.360 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 9.360 * [taylor]: Taking taylor expansion of (* a c) in d 9.360 * [taylor]: Taking taylor expansion of a in d 9.360 * [backup-simplify]: Simplify a into a 9.360 * [taylor]: Taking taylor expansion of c in d 9.360 * [backup-simplify]: Simplify c into c 9.360 * [backup-simplify]: Simplify (* a c) into (* a c) 9.360 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 9.360 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 9.360 * [backup-simplify]: Simplify (/ 1 (/ 1 b)) into b 9.360 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 9.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 9.361 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 9.361 * [taylor]: Taking taylor expansion of (pow c 2) in d 9.361 * [taylor]: Taking taylor expansion of c in d 9.361 * [backup-simplify]: Simplify c into c 9.361 * [backup-simplify]: Simplify (* c c) into (pow c 2) 9.361 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 9.361 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 9.361 * [taylor]: Taking taylor expansion of (pow d 2) in d 9.361 * [taylor]: Taking taylor expansion of d in d 9.361 * [backup-simplify]: Simplify 0 into 0 9.361 * [backup-simplify]: Simplify 1 into 1 9.361 * [backup-simplify]: Simplify (* 1 1) into 1 9.362 * [backup-simplify]: Simplify (/ 1 1) into 1 9.363 * [backup-simplify]: Simplify (+ 0 1) into 1 9.363 * [backup-simplify]: Simplify (sqrt 1) into 1 9.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.365 * [backup-simplify]: Simplify (+ 0 0) into 0 9.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.366 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 9.366 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in c 9.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 9.366 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 9.366 * [taylor]: Taking taylor expansion of (* b d) in c 9.366 * [taylor]: Taking taylor expansion of b in c 9.366 * [backup-simplify]: Simplify b into b 9.366 * [taylor]: Taking taylor expansion of d in c 9.366 * [backup-simplify]: Simplify d into d 9.366 * [backup-simplify]: Simplify (* b d) into (* b d) 9.366 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 9.366 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 9.366 * [taylor]: Taking taylor expansion of (* a c) in c 9.366 * [taylor]: Taking taylor expansion of a in c 9.366 * [backup-simplify]: Simplify a into a 9.366 * [taylor]: Taking taylor expansion of c in c 9.366 * [backup-simplify]: Simplify 0 into 0 9.366 * [backup-simplify]: Simplify 1 into 1 9.366 * [backup-simplify]: Simplify (* a 0) into 0 9.372 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 9.372 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.372 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 9.372 * [backup-simplify]: Simplify (/ 1 (/ 1 a)) into a 9.372 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 9.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 9.372 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 9.372 * [taylor]: Taking taylor expansion of (pow c 2) in c 9.372 * [taylor]: Taking taylor expansion of c in c 9.372 * [backup-simplify]: Simplify 0 into 0 9.372 * [backup-simplify]: Simplify 1 into 1 9.373 * [backup-simplify]: Simplify (* 1 1) into 1 9.373 * [backup-simplify]: Simplify (/ 1 1) into 1 9.373 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 9.373 * [taylor]: Taking taylor expansion of (pow d 2) in c 9.373 * [taylor]: Taking taylor expansion of d in c 9.373 * [backup-simplify]: Simplify d into d 9.374 * [backup-simplify]: Simplify (* d d) into (pow d 2) 9.374 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 9.374 * [backup-simplify]: Simplify (+ 1 0) into 1 9.375 * [backup-simplify]: Simplify (sqrt 1) into 1 9.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.377 * [backup-simplify]: Simplify (+ 0 0) into 0 9.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.377 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 9.377 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in c 9.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 9.377 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 9.377 * [taylor]: Taking taylor expansion of (* b d) in c 9.377 * [taylor]: Taking taylor expansion of b in c 9.378 * [backup-simplify]: Simplify b into b 9.378 * [taylor]: Taking taylor expansion of d in c 9.378 * [backup-simplify]: Simplify d into d 9.378 * [backup-simplify]: Simplify (* b d) into (* b d) 9.378 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 9.378 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 9.378 * [taylor]: Taking taylor expansion of (* a c) in c 9.378 * [taylor]: Taking taylor expansion of a in c 9.378 * [backup-simplify]: Simplify a into a 9.378 * [taylor]: Taking taylor expansion of c in c 9.378 * [backup-simplify]: Simplify 0 into 0 9.378 * [backup-simplify]: Simplify 1 into 1 9.378 * [backup-simplify]: Simplify (* a 0) into 0 9.378 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 9.378 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.379 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 9.379 * [backup-simplify]: Simplify (/ 1 (/ 1 a)) into a 9.379 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 9.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 9.379 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 9.379 * [taylor]: Taking taylor expansion of (pow c 2) in c 9.379 * [taylor]: Taking taylor expansion of c in c 9.379 * [backup-simplify]: Simplify 0 into 0 9.379 * [backup-simplify]: Simplify 1 into 1 9.379 * [backup-simplify]: Simplify (* 1 1) into 1 9.380 * [backup-simplify]: Simplify (/ 1 1) into 1 9.380 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 9.380 * [taylor]: Taking taylor expansion of (pow d 2) in c 9.380 * [taylor]: Taking taylor expansion of d in c 9.380 * [backup-simplify]: Simplify d into d 9.380 * [backup-simplify]: Simplify (* d d) into (pow d 2) 9.380 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 9.380 * [backup-simplify]: Simplify (+ 1 0) into 1 9.381 * [backup-simplify]: Simplify (sqrt 1) into 1 9.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.383 * [backup-simplify]: Simplify (+ 0 0) into 0 9.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.383 * [backup-simplify]: Simplify (* a 1) into a 9.383 * [taylor]: Taking taylor expansion of a in d 9.384 * [backup-simplify]: Simplify a into a 9.384 * [taylor]: Taking taylor expansion of a in a 9.384 * [backup-simplify]: Simplify 0 into 0 9.384 * [backup-simplify]: Simplify 1 into 1 9.384 * [taylor]: Taking taylor expansion of 1 in b 9.384 * [backup-simplify]: Simplify 1 into 1 9.384 * [backup-simplify]: Simplify 0 into 0 9.384 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 9.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 9.385 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 9.385 * [backup-simplify]: Simplify (- (+ (* a (/ (/ 1 (* b d)) (/ 1 a))))) into (- (/ (pow a 2) (* b d))) 9.385 * [backup-simplify]: Simplify (+ (* a 0) (* (- (/ (pow a 2) (* b d))) 1)) into (- (/ (pow a 2) (* b d))) 9.385 * [taylor]: Taking taylor expansion of (- (/ (pow a 2) (* b d))) in d 9.385 * [taylor]: Taking taylor expansion of (/ (pow a 2) (* b d)) in d 9.385 * [taylor]: Taking taylor expansion of (pow a 2) in d 9.385 * [taylor]: Taking taylor expansion of a in d 9.385 * [backup-simplify]: Simplify a into a 9.385 * [taylor]: Taking taylor expansion of (* b d) in d 9.385 * [taylor]: Taking taylor expansion of b in d 9.385 * [backup-simplify]: Simplify b into b 9.385 * [taylor]: Taking taylor expansion of d in d 9.386 * [backup-simplify]: Simplify 0 into 0 9.386 * [backup-simplify]: Simplify 1 into 1 9.386 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.386 * [backup-simplify]: Simplify (* b 0) into 0 9.386 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 9.386 * [backup-simplify]: Simplify (/ (pow a 2) b) into (/ (pow a 2) b) 9.386 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 9.387 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 1) (* 0 0))) into 0 9.387 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ (pow a 2) b) (/ 0 b)))) into 0 9.388 * [backup-simplify]: Simplify (- 0) into 0 9.388 * [taylor]: Taking taylor expansion of 0 in a 9.388 * [backup-simplify]: Simplify 0 into 0 9.388 * [taylor]: Taking taylor expansion of 0 in b 9.388 * [backup-simplify]: Simplify 0 into 0 9.388 * [backup-simplify]: Simplify 0 into 0 9.388 * [taylor]: Taking taylor expansion of 0 in a 9.388 * [backup-simplify]: Simplify 0 into 0 9.388 * [taylor]: Taking taylor expansion of 0 in b 9.388 * [backup-simplify]: Simplify 0 into 0 9.388 * [backup-simplify]: Simplify 0 into 0 9.388 * [taylor]: Taking taylor expansion of 0 in b 9.388 * [backup-simplify]: Simplify 0 into 0 9.388 * [backup-simplify]: Simplify 0 into 0 9.388 * [backup-simplify]: Simplify 0 into 0 9.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.390 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 9.391 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 9.392 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 9.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 9.392 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 9.393 * [backup-simplify]: Simplify (+ 0 0) into 0 9.394 * [backup-simplify]: Simplify (- (+ (* a (/ 0 (/ 1 a))) (* (- (/ (pow a 2) (* b d))) (/ (/ 1 (* b d)) (/ 1 a))))) into (/ (pow a 3) (* (pow b 2) (pow d 2))) 9.394 * [backup-simplify]: Simplify (+ (* a (/ 1/2 (pow d 2))) (+ (* (- (/ (pow a 2) (* b d))) 0) (* (/ (pow a 3) (* (pow b 2) (pow d 2))) 1))) into (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) 9.394 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) in d 9.394 * [taylor]: Taking taylor expansion of (* 1/2 (/ a (pow d 2))) in d 9.394 * [taylor]: Taking taylor expansion of 1/2 in d 9.394 * [backup-simplify]: Simplify 1/2 into 1/2 9.394 * [taylor]: Taking taylor expansion of (/ a (pow d 2)) in d 9.394 * [taylor]: Taking taylor expansion of a in d 9.394 * [backup-simplify]: Simplify a into a 9.394 * [taylor]: Taking taylor expansion of (pow d 2) in d 9.394 * [taylor]: Taking taylor expansion of d in d 9.394 * [backup-simplify]: Simplify 0 into 0 9.395 * [backup-simplify]: Simplify 1 into 1 9.395 * [backup-simplify]: Simplify (* 1 1) into 1 9.395 * [backup-simplify]: Simplify (/ a 1) into a 9.395 * [taylor]: Taking taylor expansion of (/ (pow a 3) (* (pow b 2) (pow d 2))) in d 9.395 * [taylor]: Taking taylor expansion of (pow a 3) in d 9.395 * [taylor]: Taking taylor expansion of a in d 9.395 * [backup-simplify]: Simplify a into a 9.395 * [taylor]: Taking taylor expansion of (* (pow b 2) (pow d 2)) in d 9.395 * [taylor]: Taking taylor expansion of (pow b 2) in d 9.395 * [taylor]: Taking taylor expansion of b in d 9.395 * [backup-simplify]: Simplify b into b 9.395 * [taylor]: Taking taylor expansion of (pow d 2) in d 9.395 * [taylor]: Taking taylor expansion of d in d 9.395 * [backup-simplify]: Simplify 0 into 0 9.395 * [backup-simplify]: Simplify 1 into 1 9.395 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.395 * [backup-simplify]: Simplify (* a (pow a 2)) into (pow a 3) 9.396 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.396 * [backup-simplify]: Simplify (* 1 1) into 1 9.396 * [backup-simplify]: Simplify (* (pow b 2) 1) into (pow b 2) 9.396 * [backup-simplify]: Simplify (/ (pow a 3) (pow b 2)) into (/ (pow a 3) (pow b 2)) 9.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* a (/ 0 1)))) into 0 9.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* a (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.401 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 a))) into 0 9.401 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 9.401 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 9.402 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 9.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.403 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.404 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 9.405 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 1))) into 0 9.405 * [backup-simplify]: Simplify (+ (* a 0) (* 0 (pow a 2))) into 0 9.405 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (* 0 1)) into 0 9.405 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ (pow a 3) (pow b 2)) (/ 0 (pow b 2))))) into 0 9.406 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ (pow a 3) (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 9.406 * [backup-simplify]: Simplify (+ 0 0) into 0 9.406 * [taylor]: Taking taylor expansion of 0 in a 9.406 * [backup-simplify]: Simplify 0 into 0 9.406 * [taylor]: Taking taylor expansion of 0 in b 9.406 * [backup-simplify]: Simplify 0 into 0 9.406 * [backup-simplify]: Simplify 0 into 0 9.406 * [backup-simplify]: Simplify 0 into 0 9.407 * [backup-simplify]: Simplify (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d))))) into (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 9.407 * [approximate]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in (c d a b) around 0 9.407 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b 9.407 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in b 9.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 9.407 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 9.407 * [taylor]: Taking taylor expansion of (* b d) in b 9.407 * [taylor]: Taking taylor expansion of b in b 9.407 * [backup-simplify]: Simplify 0 into 0 9.407 * [backup-simplify]: Simplify 1 into 1 9.407 * [taylor]: Taking taylor expansion of d in b 9.407 * [backup-simplify]: Simplify d into d 9.407 * [backup-simplify]: Simplify (* 0 d) into 0 9.407 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 9.407 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 9.407 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 9.407 * [taylor]: Taking taylor expansion of (* a c) in b 9.407 * [taylor]: Taking taylor expansion of a in b 9.407 * [backup-simplify]: Simplify a into a 9.407 * [taylor]: Taking taylor expansion of c in b 9.407 * [backup-simplify]: Simplify c into c 9.407 * [backup-simplify]: Simplify (* a c) into (* a c) 9.407 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 9.408 * [backup-simplify]: Simplify (+ (/ 1 d) 0) into (/ 1 d) 9.408 * [backup-simplify]: Simplify (/ 1 (/ 1 d)) into d 9.408 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 9.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 9.408 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 9.408 * [taylor]: Taking taylor expansion of (pow c 2) in b 9.408 * [taylor]: Taking taylor expansion of c in b 9.408 * [backup-simplify]: Simplify c into c 9.408 * [backup-simplify]: Simplify (* c c) into (pow c 2) 9.408 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 9.408 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 9.408 * [taylor]: Taking taylor expansion of (pow d 2) in b 9.408 * [taylor]: Taking taylor expansion of d in b 9.408 * [backup-simplify]: Simplify d into d 9.408 * [backup-simplify]: Simplify (* d d) into (pow d 2) 9.408 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 9.408 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 9.408 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 9.408 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 9.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 9.408 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 9.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 9.409 * [backup-simplify]: Simplify (+ 0 0) into 0 9.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 9.409 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a 9.409 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in a 9.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 9.409 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 9.409 * [taylor]: Taking taylor expansion of (* b d) in a 9.409 * [taylor]: Taking taylor expansion of b in a 9.409 * [backup-simplify]: Simplify b into b 9.409 * [taylor]: Taking taylor expansion of d in a 9.409 * [backup-simplify]: Simplify d into d 9.409 * [backup-simplify]: Simplify (* b d) into (* b d) 9.409 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 9.409 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 9.409 * [taylor]: Taking taylor expansion of (* a c) in a 9.409 * [taylor]: Taking taylor expansion of a in a 9.409 * [backup-simplify]: Simplify 0 into 0 9.409 * [backup-simplify]: Simplify 1 into 1 9.409 * [taylor]: Taking taylor expansion of c in a 9.409 * [backup-simplify]: Simplify c into c 9.409 * [backup-simplify]: Simplify (* 0 c) into 0 9.409 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 9.409 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 9.410 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 9.410 * [backup-simplify]: Simplify (/ 1 (/ 1 c)) into c 9.410 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 9.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 9.410 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 9.410 * [taylor]: Taking taylor expansion of (pow c 2) in a 9.410 * [taylor]: Taking taylor expansion of c in a 9.410 * [backup-simplify]: Simplify c into c 9.410 * [backup-simplify]: Simplify (* c c) into (pow c 2) 9.410 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 9.410 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 9.410 * [taylor]: Taking taylor expansion of (pow d 2) in a 9.410 * [taylor]: Taking taylor expansion of d in a 9.410 * [backup-simplify]: Simplify d into d 9.410 * [backup-simplify]: Simplify (* d d) into (pow d 2) 9.410 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 9.410 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 9.410 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 9.410 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 9.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 9.410 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 9.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 9.411 * [backup-simplify]: Simplify (+ 0 0) into 0 9.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 9.411 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d 9.411 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in d 9.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 9.411 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 9.411 * [taylor]: Taking taylor expansion of (* b d) in d 9.411 * [taylor]: Taking taylor expansion of b in d 9.411 * [backup-simplify]: Simplify b into b 9.411 * [taylor]: Taking taylor expansion of d in d 9.411 * [backup-simplify]: Simplify 0 into 0 9.411 * [backup-simplify]: Simplify 1 into 1 9.411 * [backup-simplify]: Simplify (* b 0) into 0 9.411 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 9.411 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.411 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 9.411 * [taylor]: Taking taylor expansion of (* a c) in d 9.411 * [taylor]: Taking taylor expansion of a in d 9.411 * [backup-simplify]: Simplify a into a 9.411 * [taylor]: Taking taylor expansion of c in d 9.411 * [backup-simplify]: Simplify c into c 9.411 * [backup-simplify]: Simplify (* a c) into (* a c) 9.411 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 9.412 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 9.412 * [backup-simplify]: Simplify (/ 1 (/ 1 b)) into b 9.412 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 9.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 9.412 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 9.412 * [taylor]: Taking taylor expansion of (pow c 2) in d 9.412 * [taylor]: Taking taylor expansion of c in d 9.412 * [backup-simplify]: Simplify c into c 9.412 * [backup-simplify]: Simplify (* c c) into (pow c 2) 9.412 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 9.412 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 9.412 * [taylor]: Taking taylor expansion of (pow d 2) in d 9.412 * [taylor]: Taking taylor expansion of d in d 9.412 * [backup-simplify]: Simplify 0 into 0 9.412 * [backup-simplify]: Simplify 1 into 1 9.412 * [backup-simplify]: Simplify (* 1 1) into 1 9.413 * [backup-simplify]: Simplify (/ 1 1) into 1 9.413 * [backup-simplify]: Simplify (+ 0 1) into 1 9.413 * [backup-simplify]: Simplify (sqrt 1) into 1 9.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.414 * [backup-simplify]: Simplify (+ 0 0) into 0 9.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.415 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 9.415 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in c 9.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 9.415 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 9.415 * [taylor]: Taking taylor expansion of (* b d) in c 9.415 * [taylor]: Taking taylor expansion of b in c 9.415 * [backup-simplify]: Simplify b into b 9.415 * [taylor]: Taking taylor expansion of d in c 9.415 * [backup-simplify]: Simplify d into d 9.415 * [backup-simplify]: Simplify (* b d) into (* b d) 9.415 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 9.415 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 9.415 * [taylor]: Taking taylor expansion of (* a c) in c 9.415 * [taylor]: Taking taylor expansion of a in c 9.415 * [backup-simplify]: Simplify a into a 9.415 * [taylor]: Taking taylor expansion of c in c 9.415 * [backup-simplify]: Simplify 0 into 0 9.415 * [backup-simplify]: Simplify 1 into 1 9.415 * [backup-simplify]: Simplify (* a 0) into 0 9.415 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 9.415 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.415 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 9.415 * [backup-simplify]: Simplify (/ 1 (/ 1 a)) into a 9.415 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 9.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 9.415 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 9.415 * [taylor]: Taking taylor expansion of (pow c 2) in c 9.416 * [taylor]: Taking taylor expansion of c in c 9.416 * [backup-simplify]: Simplify 0 into 0 9.416 * [backup-simplify]: Simplify 1 into 1 9.416 * [backup-simplify]: Simplify (* 1 1) into 1 9.416 * [backup-simplify]: Simplify (/ 1 1) into 1 9.416 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 9.416 * [taylor]: Taking taylor expansion of (pow d 2) in c 9.416 * [taylor]: Taking taylor expansion of d in c 9.416 * [backup-simplify]: Simplify d into d 9.416 * [backup-simplify]: Simplify (* d d) into (pow d 2) 9.416 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 9.416 * [backup-simplify]: Simplify (+ 1 0) into 1 9.417 * [backup-simplify]: Simplify (sqrt 1) into 1 9.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.418 * [backup-simplify]: Simplify (+ 0 0) into 0 9.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.418 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 9.418 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* b d)) (/ 1 (* a c)))) in c 9.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 9.418 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 9.418 * [taylor]: Taking taylor expansion of (* b d) in c 9.418 * [taylor]: Taking taylor expansion of b in c 9.418 * [backup-simplify]: Simplify b into b 9.418 * [taylor]: Taking taylor expansion of d in c 9.418 * [backup-simplify]: Simplify d into d 9.418 * [backup-simplify]: Simplify (* b d) into (* b d) 9.418 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 9.418 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 9.418 * [taylor]: Taking taylor expansion of (* a c) in c 9.418 * [taylor]: Taking taylor expansion of a in c 9.419 * [backup-simplify]: Simplify a into a 9.419 * [taylor]: Taking taylor expansion of c in c 9.419 * [backup-simplify]: Simplify 0 into 0 9.419 * [backup-simplify]: Simplify 1 into 1 9.419 * [backup-simplify]: Simplify (* a 0) into 0 9.419 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 9.419 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.419 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 9.419 * [backup-simplify]: Simplify (/ 1 (/ 1 a)) into a 9.419 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 9.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 9.419 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 9.419 * [taylor]: Taking taylor expansion of (pow c 2) in c 9.419 * [taylor]: Taking taylor expansion of c in c 9.419 * [backup-simplify]: Simplify 0 into 0 9.419 * [backup-simplify]: Simplify 1 into 1 9.419 * [backup-simplify]: Simplify (* 1 1) into 1 9.420 * [backup-simplify]: Simplify (/ 1 1) into 1 9.420 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 9.420 * [taylor]: Taking taylor expansion of (pow d 2) in c 9.420 * [taylor]: Taking taylor expansion of d in c 9.420 * [backup-simplify]: Simplify d into d 9.420 * [backup-simplify]: Simplify (* d d) into (pow d 2) 9.420 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 9.420 * [backup-simplify]: Simplify (+ 1 0) into 1 9.420 * [backup-simplify]: Simplify (sqrt 1) into 1 9.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.421 * [backup-simplify]: Simplify (+ 0 0) into 0 9.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.422 * [backup-simplify]: Simplify (* a 1) into a 9.422 * [taylor]: Taking taylor expansion of a in d 9.422 * [backup-simplify]: Simplify a into a 9.422 * [taylor]: Taking taylor expansion of a in a 9.422 * [backup-simplify]: Simplify 0 into 0 9.422 * [backup-simplify]: Simplify 1 into 1 9.422 * [taylor]: Taking taylor expansion of 1 in b 9.422 * [backup-simplify]: Simplify 1 into 1 9.422 * [backup-simplify]: Simplify 0 into 0 9.422 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 9.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 9.423 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 9.423 * [backup-simplify]: Simplify (- (+ (* a (/ (/ 1 (* b d)) (/ 1 a))))) into (- (/ (pow a 2) (* b d))) 9.423 * [backup-simplify]: Simplify (+ (* a 0) (* (- (/ (pow a 2) (* b d))) 1)) into (- (/ (pow a 2) (* b d))) 9.423 * [taylor]: Taking taylor expansion of (- (/ (pow a 2) (* b d))) in d 9.423 * [taylor]: Taking taylor expansion of (/ (pow a 2) (* b d)) in d 9.423 * [taylor]: Taking taylor expansion of (pow a 2) in d 9.423 * [taylor]: Taking taylor expansion of a in d 9.423 * [backup-simplify]: Simplify a into a 9.423 * [taylor]: Taking taylor expansion of (* b d) in d 9.423 * [taylor]: Taking taylor expansion of b in d 9.423 * [backup-simplify]: Simplify b into b 9.423 * [taylor]: Taking taylor expansion of d in d 9.423 * [backup-simplify]: Simplify 0 into 0 9.423 * [backup-simplify]: Simplify 1 into 1 9.423 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.423 * [backup-simplify]: Simplify (* b 0) into 0 9.423 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 9.424 * [backup-simplify]: Simplify (/ (pow a 2) b) into (/ (pow a 2) b) 9.424 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 9.424 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 1) (* 0 0))) into 0 9.424 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ (pow a 2) b) (/ 0 b)))) into 0 9.424 * [backup-simplify]: Simplify (- 0) into 0 9.424 * [taylor]: Taking taylor expansion of 0 in a 9.424 * [backup-simplify]: Simplify 0 into 0 9.424 * [taylor]: Taking taylor expansion of 0 in b 9.424 * [backup-simplify]: Simplify 0 into 0 9.424 * [backup-simplify]: Simplify 0 into 0 9.424 * [taylor]: Taking taylor expansion of 0 in a 9.424 * [backup-simplify]: Simplify 0 into 0 9.425 * [taylor]: Taking taylor expansion of 0 in b 9.425 * [backup-simplify]: Simplify 0 into 0 9.425 * [backup-simplify]: Simplify 0 into 0 9.425 * [taylor]: Taking taylor expansion of 0 in b 9.425 * [backup-simplify]: Simplify 0 into 0 9.425 * [backup-simplify]: Simplify 0 into 0 9.425 * [backup-simplify]: Simplify 0 into 0 9.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.426 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 9.427 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 9.427 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 9.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 9.427 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 9.428 * [backup-simplify]: Simplify (+ 0 0) into 0 9.428 * [backup-simplify]: Simplify (- (+ (* a (/ 0 (/ 1 a))) (* (- (/ (pow a 2) (* b d))) (/ (/ 1 (* b d)) (/ 1 a))))) into (/ (pow a 3) (* (pow b 2) (pow d 2))) 9.428 * [backup-simplify]: Simplify (+ (* a (/ 1/2 (pow d 2))) (+ (* (- (/ (pow a 2) (* b d))) 0) (* (/ (pow a 3) (* (pow b 2) (pow d 2))) 1))) into (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) 9.428 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) in d 9.428 * [taylor]: Taking taylor expansion of (* 1/2 (/ a (pow d 2))) in d 9.428 * [taylor]: Taking taylor expansion of 1/2 in d 9.428 * [backup-simplify]: Simplify 1/2 into 1/2 9.428 * [taylor]: Taking taylor expansion of (/ a (pow d 2)) in d 9.428 * [taylor]: Taking taylor expansion of a in d 9.428 * [backup-simplify]: Simplify a into a 9.428 * [taylor]: Taking taylor expansion of (pow d 2) in d 9.428 * [taylor]: Taking taylor expansion of d in d 9.428 * [backup-simplify]: Simplify 0 into 0 9.428 * [backup-simplify]: Simplify 1 into 1 9.429 * [backup-simplify]: Simplify (* 1 1) into 1 9.429 * [backup-simplify]: Simplify (/ a 1) into a 9.429 * [taylor]: Taking taylor expansion of (/ (pow a 3) (* (pow b 2) (pow d 2))) in d 9.429 * [taylor]: Taking taylor expansion of (pow a 3) in d 9.429 * [taylor]: Taking taylor expansion of a in d 9.429 * [backup-simplify]: Simplify a into a 9.429 * [taylor]: Taking taylor expansion of (* (pow b 2) (pow d 2)) in d 9.429 * [taylor]: Taking taylor expansion of (pow b 2) in d 9.429 * [taylor]: Taking taylor expansion of b in d 9.429 * [backup-simplify]: Simplify b into b 9.429 * [taylor]: Taking taylor expansion of (pow d 2) in d 9.429 * [taylor]: Taking taylor expansion of d in d 9.429 * [backup-simplify]: Simplify 0 into 0 9.429 * [backup-simplify]: Simplify 1 into 1 9.429 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.429 * [backup-simplify]: Simplify (* a (pow a 2)) into (pow a 3) 9.429 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.429 * [backup-simplify]: Simplify (* 1 1) into 1 9.429 * [backup-simplify]: Simplify (* (pow b 2) 1) into (pow b 2) 9.429 * [backup-simplify]: Simplify (/ (pow a 3) (pow b 2)) into (/ (pow a 3) (pow b 2)) 9.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* a (/ 0 1)))) into 0 9.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* a (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.432 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 a))) into 0 9.432 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 9.432 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 9.433 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 9.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.433 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 9.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.434 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 9.434 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 1))) into 0 9.435 * [backup-simplify]: Simplify (+ (* a 0) (* 0 (pow a 2))) into 0 9.435 * [backup-simplify]: Simplify (+ (* (pow b 2) 0) (* 0 1)) into 0 9.435 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ (pow a 3) (pow b 2)) (/ 0 (pow b 2))))) into 0 9.435 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ (pow a 3) (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 9.435 * [backup-simplify]: Simplify (+ 0 0) into 0 9.435 * [taylor]: Taking taylor expansion of 0 in a 9.436 * [backup-simplify]: Simplify 0 into 0 9.436 * [taylor]: Taking taylor expansion of 0 in b 9.436 * [backup-simplify]: Simplify 0 into 0 9.436 * [backup-simplify]: Simplify 0 into 0 9.436 * [backup-simplify]: Simplify 0 into 0 9.436 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 9.436 * [backup-simplify]: Simplify (+ (* a c) (* b d)) into (+ (* a c) (* b d)) 9.436 * [approximate]: Taking taylor expansion of (+ (* a c) (* b d)) in (a c b d) around 0 9.436 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d 9.436 * [taylor]: Taking taylor expansion of (* a c) in d 9.436 * [taylor]: Taking taylor expansion of a in d 9.436 * [backup-simplify]: Simplify a into a 9.436 * [taylor]: Taking taylor expansion of c in d 9.436 * [backup-simplify]: Simplify c into c 9.436 * [taylor]: Taking taylor expansion of (* b d) in d 9.436 * [taylor]: Taking taylor expansion of b in d 9.436 * [backup-simplify]: Simplify b into b 9.436 * [taylor]: Taking taylor expansion of d in d 9.436 * [backup-simplify]: Simplify 0 into 0 9.436 * [backup-simplify]: Simplify 1 into 1 9.436 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b 9.436 * [taylor]: Taking taylor expansion of (* a c) in b 9.436 * [taylor]: Taking taylor expansion of a in b 9.436 * [backup-simplify]: Simplify a into a 9.436 * [taylor]: Taking taylor expansion of c in b 9.436 * [backup-simplify]: Simplify c into c 9.436 * [taylor]: Taking taylor expansion of (* b d) in b 9.436 * [taylor]: Taking taylor expansion of b in b 9.436 * [backup-simplify]: Simplify 0 into 0 9.436 * [backup-simplify]: Simplify 1 into 1 9.436 * [taylor]: Taking taylor expansion of d in b 9.436 * [backup-simplify]: Simplify d into d 9.436 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c 9.436 * [taylor]: Taking taylor expansion of (* a c) in c 9.436 * [taylor]: Taking taylor expansion of a in c 9.436 * [backup-simplify]: Simplify a into a 9.436 * [taylor]: Taking taylor expansion of c in c 9.436 * [backup-simplify]: Simplify 0 into 0 9.436 * [backup-simplify]: Simplify 1 into 1 9.436 * [taylor]: Taking taylor expansion of (* b d) in c 9.436 * [taylor]: Taking taylor expansion of b in c 9.436 * [backup-simplify]: Simplify b into b 9.436 * [taylor]: Taking taylor expansion of d in c 9.436 * [backup-simplify]: Simplify d into d 9.436 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 9.436 * [taylor]: Taking taylor expansion of (* a c) in a 9.436 * [taylor]: Taking taylor expansion of a in a 9.436 * [backup-simplify]: Simplify 0 into 0 9.436 * [backup-simplify]: Simplify 1 into 1 9.436 * [taylor]: Taking taylor expansion of c in a 9.436 * [backup-simplify]: Simplify c into c 9.436 * [taylor]: Taking taylor expansion of (* b d) in a 9.436 * [taylor]: Taking taylor expansion of b in a 9.436 * [backup-simplify]: Simplify b into b 9.436 * [taylor]: Taking taylor expansion of d in a 9.436 * [backup-simplify]: Simplify d into d 9.436 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 9.436 * [taylor]: Taking taylor expansion of (* a c) in a 9.436 * [taylor]: Taking taylor expansion of a in a 9.437 * [backup-simplify]: Simplify 0 into 0 9.437 * [backup-simplify]: Simplify 1 into 1 9.437 * [taylor]: Taking taylor expansion of c in a 9.437 * [backup-simplify]: Simplify c into c 9.437 * [taylor]: Taking taylor expansion of (* b d) in a 9.437 * [taylor]: Taking taylor expansion of b in a 9.437 * [backup-simplify]: Simplify b into b 9.437 * [taylor]: Taking taylor expansion of d in a 9.437 * [backup-simplify]: Simplify d into d 9.437 * [backup-simplify]: Simplify (* 0 c) into 0 9.437 * [backup-simplify]: Simplify (* b d) into (* b d) 9.437 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 9.437 * [taylor]: Taking taylor expansion of (* b d) in c 9.437 * [taylor]: Taking taylor expansion of b in c 9.437 * [backup-simplify]: Simplify b into b 9.437 * [taylor]: Taking taylor expansion of d in c 9.437 * [backup-simplify]: Simplify d into d 9.437 * [backup-simplify]: Simplify (* b d) into (* b d) 9.437 * [taylor]: Taking taylor expansion of (* b d) in b 9.437 * [taylor]: Taking taylor expansion of b in b 9.437 * [backup-simplify]: Simplify 0 into 0 9.437 * [backup-simplify]: Simplify 1 into 1 9.437 * [taylor]: Taking taylor expansion of d in b 9.437 * [backup-simplify]: Simplify d into d 9.437 * [backup-simplify]: Simplify (* 0 d) into 0 9.437 * [taylor]: Taking taylor expansion of 0 in d 9.437 * [backup-simplify]: Simplify 0 into 0 9.437 * [backup-simplify]: Simplify 0 into 0 9.437 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 9.437 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 9.437 * [backup-simplify]: Simplify (+ c 0) into c 9.437 * [taylor]: Taking taylor expansion of c in c 9.437 * [backup-simplify]: Simplify 0 into 0 9.437 * [backup-simplify]: Simplify 1 into 1 9.437 * [taylor]: Taking taylor expansion of 0 in b 9.438 * [backup-simplify]: Simplify 0 into 0 9.438 * [taylor]: Taking taylor expansion of 0 in d 9.438 * [backup-simplify]: Simplify 0 into 0 9.438 * [backup-simplify]: Simplify 0 into 0 9.438 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 9.438 * [taylor]: Taking taylor expansion of 0 in b 9.438 * [backup-simplify]: Simplify 0 into 0 9.438 * [taylor]: Taking taylor expansion of 0 in d 9.438 * [backup-simplify]: Simplify 0 into 0 9.438 * [backup-simplify]: Simplify 0 into 0 9.438 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 9.438 * [taylor]: Taking taylor expansion of d in d 9.438 * [backup-simplify]: Simplify 0 into 0 9.438 * [backup-simplify]: Simplify 1 into 1 9.438 * [backup-simplify]: Simplify 0 into 0 9.438 * [backup-simplify]: Simplify 0 into 0 9.439 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 9.439 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 9.440 * [backup-simplify]: Simplify (+ 0 0) into 0 9.440 * [taylor]: Taking taylor expansion of 0 in c 9.440 * [backup-simplify]: Simplify 0 into 0 9.440 * [taylor]: Taking taylor expansion of 0 in b 9.440 * [backup-simplify]: Simplify 0 into 0 9.440 * [taylor]: Taking taylor expansion of 0 in d 9.440 * [backup-simplify]: Simplify 0 into 0 9.440 * [backup-simplify]: Simplify 0 into 0 9.440 * [backup-simplify]: Simplify 0 into 0 9.440 * [backup-simplify]: Simplify (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) into (+ (/ 1 (* b d)) (/ 1 (* a c))) 9.440 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0 9.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 9.440 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 9.440 * [taylor]: Taking taylor expansion of (* b d) in d 9.440 * [taylor]: Taking taylor expansion of b in d 9.440 * [backup-simplify]: Simplify b into b 9.440 * [taylor]: Taking taylor expansion of d in d 9.440 * [backup-simplify]: Simplify 0 into 0 9.440 * [backup-simplify]: Simplify 1 into 1 9.440 * [backup-simplify]: Simplify (* b 0) into 0 9.441 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 9.441 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.441 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 9.441 * [taylor]: Taking taylor expansion of (* a c) in d 9.441 * [taylor]: Taking taylor expansion of a in d 9.441 * [backup-simplify]: Simplify a into a 9.441 * [taylor]: Taking taylor expansion of c in d 9.441 * [backup-simplify]: Simplify c into c 9.441 * [backup-simplify]: Simplify (* a c) into (* a c) 9.441 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 9.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 9.441 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 9.441 * [taylor]: Taking taylor expansion of (* b d) in b 9.441 * [taylor]: Taking taylor expansion of b in b 9.441 * [backup-simplify]: Simplify 0 into 0 9.441 * [backup-simplify]: Simplify 1 into 1 9.441 * [taylor]: Taking taylor expansion of d in b 9.441 * [backup-simplify]: Simplify d into d 9.441 * [backup-simplify]: Simplify (* 0 d) into 0 9.442 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 9.442 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 9.442 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 9.442 * [taylor]: Taking taylor expansion of (* a c) in b 9.442 * [taylor]: Taking taylor expansion of a in b 9.442 * [backup-simplify]: Simplify a into a 9.442 * [taylor]: Taking taylor expansion of c in b 9.442 * [backup-simplify]: Simplify c into c 9.442 * [backup-simplify]: Simplify (* a c) into (* a c) 9.442 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 9.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 9.442 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 9.442 * [taylor]: Taking taylor expansion of (* b d) in c 9.442 * [taylor]: Taking taylor expansion of b in c 9.442 * [backup-simplify]: Simplify b into b 9.442 * [taylor]: Taking taylor expansion of d in c 9.442 * [backup-simplify]: Simplify d into d 9.443 * [backup-simplify]: Simplify (* b d) into (* b d) 9.443 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 9.443 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 9.443 * [taylor]: Taking taylor expansion of (* a c) in c 9.443 * [taylor]: Taking taylor expansion of a in c 9.443 * [backup-simplify]: Simplify a into a 9.443 * [taylor]: Taking taylor expansion of c in c 9.443 * [backup-simplify]: Simplify 0 into 0 9.443 * [backup-simplify]: Simplify 1 into 1 9.443 * [backup-simplify]: Simplify (* a 0) into 0 9.443 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 9.443 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 9.443 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 9.443 * [taylor]: Taking taylor expansion of (* b d) in a 9.443 * [taylor]: Taking taylor expansion of b in a 9.443 * [backup-simplify]: Simplify b into b 9.443 * [taylor]: Taking taylor expansion of d in a 9.443 * [backup-simplify]: Simplify d into d 9.444 * [backup-simplify]: Simplify (* b d) into (* b d) 9.444 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 9.444 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 9.444 * [taylor]: Taking taylor expansion of (* a c) in a 9.444 * [taylor]: Taking taylor expansion of a in a 9.444 * [backup-simplify]: Simplify 0 into 0 9.444 * [backup-simplify]: Simplify 1 into 1 9.444 * [taylor]: Taking taylor expansion of c in a 9.444 * [backup-simplify]: Simplify c into c 9.444 * [backup-simplify]: Simplify (* 0 c) into 0 9.444 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 9.444 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 9.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 9.444 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 9.444 * [taylor]: Taking taylor expansion of (* b d) in a 9.444 * [taylor]: Taking taylor expansion of b in a 9.444 * [backup-simplify]: Simplify b into b 9.444 * [taylor]: Taking taylor expansion of d in a 9.444 * [backup-simplify]: Simplify d into d 9.444 * [backup-simplify]: Simplify (* b d) into (* b d) 9.445 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 9.445 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 9.445 * [taylor]: Taking taylor expansion of (* a c) in a 9.445 * [taylor]: Taking taylor expansion of a in a 9.445 * [backup-simplify]: Simplify 0 into 0 9.445 * [backup-simplify]: Simplify 1 into 1 9.445 * [taylor]: Taking taylor expansion of c in a 9.445 * [backup-simplify]: Simplify c into c 9.445 * [backup-simplify]: Simplify (* 0 c) into 0 9.445 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 9.445 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 9.445 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 9.445 * [taylor]: Taking taylor expansion of (/ 1 c) in c 9.445 * [taylor]: Taking taylor expansion of c in c 9.445 * [backup-simplify]: Simplify 0 into 0 9.446 * [backup-simplify]: Simplify 1 into 1 9.446 * [backup-simplify]: Simplify (/ 1 1) into 1 9.446 * [taylor]: Taking taylor expansion of 1 in b 9.446 * [backup-simplify]: Simplify 1 into 1 9.447 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 9.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 9.447 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 9.447 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 9.447 * [taylor]: Taking taylor expansion of (* b d) in c 9.447 * [taylor]: Taking taylor expansion of b in c 9.447 * [backup-simplify]: Simplify b into b 9.447 * [taylor]: Taking taylor expansion of d in c 9.447 * [backup-simplify]: Simplify d into d 9.447 * [backup-simplify]: Simplify (* b d) into (* b d) 9.447 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 9.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.448 * [taylor]: Taking taylor expansion of 0 in b 9.448 * [backup-simplify]: Simplify 0 into 0 9.448 * [taylor]: Taking taylor expansion of 1 in d 9.448 * [backup-simplify]: Simplify 1 into 1 9.448 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 9.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 9.450 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 9.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 9.450 * [backup-simplify]: Simplify (+ 0 0) into 0 9.450 * [taylor]: Taking taylor expansion of 0 in c 9.450 * [backup-simplify]: Simplify 0 into 0 9.450 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 9.450 * [taylor]: Taking taylor expansion of (* b d) in b 9.450 * [taylor]: Taking taylor expansion of b in b 9.450 * [backup-simplify]: Simplify 0 into 0 9.450 * [backup-simplify]: Simplify 1 into 1 9.450 * [taylor]: Taking taylor expansion of d in b 9.450 * [backup-simplify]: Simplify d into d 9.451 * [backup-simplify]: Simplify (* 0 d) into 0 9.451 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 9.451 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 9.451 * [taylor]: Taking taylor expansion of (/ 1 d) in d 9.451 * [taylor]: Taking taylor expansion of d in d 9.451 * [backup-simplify]: Simplify 0 into 0 9.451 * [backup-simplify]: Simplify 1 into 1 9.451 * [backup-simplify]: Simplify (/ 1 1) into 1 9.452 * [backup-simplify]: Simplify 1 into 1 9.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.453 * [taylor]: Taking taylor expansion of 0 in b 9.453 * [backup-simplify]: Simplify 0 into 0 9.453 * [taylor]: Taking taylor expansion of 0 in d 9.453 * [backup-simplify]: Simplify 0 into 0 9.453 * [taylor]: Taking taylor expansion of 0 in d 9.453 * [backup-simplify]: Simplify 0 into 0 9.453 * [backup-simplify]: Simplify 1 into 1 9.453 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 9.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 9.455 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 9.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 9.456 * [backup-simplify]: Simplify (+ 0 0) into 0 9.456 * [taylor]: Taking taylor expansion of 0 in c 9.456 * [backup-simplify]: Simplify 0 into 0 9.456 * [taylor]: Taking taylor expansion of 0 in b 9.456 * [backup-simplify]: Simplify 0 into 0 9.456 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 9.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 9.456 * [taylor]: Taking taylor expansion of 0 in b 9.456 * [backup-simplify]: Simplify 0 into 0 9.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.457 * [taylor]: Taking taylor expansion of 0 in b 9.457 * [backup-simplify]: Simplify 0 into 0 9.458 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 9.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 9.458 * [taylor]: Taking taylor expansion of 0 in d 9.458 * [backup-simplify]: Simplify 0 into 0 9.458 * [taylor]: Taking taylor expansion of 0 in d 9.458 * [backup-simplify]: Simplify 0 into 0 9.458 * [taylor]: Taking taylor expansion of 0 in d 9.458 * [backup-simplify]: Simplify 0 into 0 9.458 * [taylor]: Taking taylor expansion of 0 in d 9.458 * [backup-simplify]: Simplify 0 into 0 9.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.459 * [backup-simplify]: Simplify 0 into 0 9.459 * [backup-simplify]: Simplify 0 into 0 9.459 * [backup-simplify]: Simplify 0 into 0 9.459 * [backup-simplify]: Simplify 0 into 0 9.460 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 9.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 9.462 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0 9.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 9.463 * [backup-simplify]: Simplify (+ 0 0) into 0 9.463 * [taylor]: Taking taylor expansion of 0 in c 9.463 * [backup-simplify]: Simplify 0 into 0 9.463 * [taylor]: Taking taylor expansion of 0 in b 9.463 * [backup-simplify]: Simplify 0 into 0 9.463 * [taylor]: Taking taylor expansion of 0 in b 9.463 * [backup-simplify]: Simplify 0 into 0 9.464 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 9.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 9.464 * [taylor]: Taking taylor expansion of 0 in b 9.464 * [backup-simplify]: Simplify 0 into 0 9.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.465 * [taylor]: Taking taylor expansion of 0 in b 9.465 * [backup-simplify]: Simplify 0 into 0 9.465 * [taylor]: Taking taylor expansion of 0 in d 9.465 * [backup-simplify]: Simplify 0 into 0 9.465 * [taylor]: Taking taylor expansion of 0 in d 9.465 * [backup-simplify]: Simplify 0 into 0 9.465 * [taylor]: Taking taylor expansion of 0 in d 9.465 * [backup-simplify]: Simplify 0 into 0 9.466 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 9.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 9.467 * [taylor]: Taking taylor expansion of 0 in d 9.467 * [backup-simplify]: Simplify 0 into 0 9.467 * [taylor]: Taking taylor expansion of 0 in d 9.467 * [backup-simplify]: Simplify 0 into 0 9.467 * [taylor]: Taking taylor expansion of 0 in d 9.467 * [backup-simplify]: Simplify 0 into 0 9.467 * [taylor]: Taking taylor expansion of 0 in d 9.467 * [backup-simplify]: Simplify 0 into 0 9.467 * [backup-simplify]: Simplify 0 into 0 9.467 * [backup-simplify]: Simplify 0 into 0 9.468 * [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)) 9.468 * [backup-simplify]: Simplify (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) into (+ (/ 1 (* b d)) (/ 1 (* a c))) 9.468 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0 9.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 9.468 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 9.468 * [taylor]: Taking taylor expansion of (* b d) in d 9.468 * [taylor]: Taking taylor expansion of b in d 9.468 * [backup-simplify]: Simplify b into b 9.468 * [taylor]: Taking taylor expansion of d in d 9.468 * [backup-simplify]: Simplify 0 into 0 9.468 * [backup-simplify]: Simplify 1 into 1 9.468 * [backup-simplify]: Simplify (* b 0) into 0 9.469 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 9.469 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.469 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 9.469 * [taylor]: Taking taylor expansion of (* a c) in d 9.469 * [taylor]: Taking taylor expansion of a in d 9.469 * [backup-simplify]: Simplify a into a 9.469 * [taylor]: Taking taylor expansion of c in d 9.469 * [backup-simplify]: Simplify c into c 9.469 * [backup-simplify]: Simplify (* a c) into (* a c) 9.469 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 9.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 9.469 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 9.469 * [taylor]: Taking taylor expansion of (* b d) in b 9.469 * [taylor]: Taking taylor expansion of b in b 9.469 * [backup-simplify]: Simplify 0 into 0 9.469 * [backup-simplify]: Simplify 1 into 1 9.469 * [taylor]: Taking taylor expansion of d in b 9.469 * [backup-simplify]: Simplify d into d 9.469 * [backup-simplify]: Simplify (* 0 d) into 0 9.470 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 9.470 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 9.470 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 9.470 * [taylor]: Taking taylor expansion of (* a c) in b 9.470 * [taylor]: Taking taylor expansion of a in b 9.470 * [backup-simplify]: Simplify a into a 9.470 * [taylor]: Taking taylor expansion of c in b 9.470 * [backup-simplify]: Simplify c into c 9.470 * [backup-simplify]: Simplify (* a c) into (* a c) 9.470 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 9.470 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 9.470 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 9.470 * [taylor]: Taking taylor expansion of (* b d) in c 9.470 * [taylor]: Taking taylor expansion of b in c 9.470 * [backup-simplify]: Simplify b into b 9.470 * [taylor]: Taking taylor expansion of d in c 9.471 * [backup-simplify]: Simplify d into d 9.471 * [backup-simplify]: Simplify (* b d) into (* b d) 9.471 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 9.471 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 9.471 * [taylor]: Taking taylor expansion of (* a c) in c 9.471 * [taylor]: Taking taylor expansion of a in c 9.471 * [backup-simplify]: Simplify a into a 9.471 * [taylor]: Taking taylor expansion of c in c 9.471 * [backup-simplify]: Simplify 0 into 0 9.471 * [backup-simplify]: Simplify 1 into 1 9.471 * [backup-simplify]: Simplify (* a 0) into 0 9.471 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 9.471 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 9.471 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 9.471 * [taylor]: Taking taylor expansion of (* b d) in a 9.471 * [taylor]: Taking taylor expansion of b in a 9.472 * [backup-simplify]: Simplify b into b 9.472 * [taylor]: Taking taylor expansion of d in a 9.472 * [backup-simplify]: Simplify d into d 9.472 * [backup-simplify]: Simplify (* b d) into (* b d) 9.472 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 9.472 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 9.472 * [taylor]: Taking taylor expansion of (* a c) in a 9.472 * [taylor]: Taking taylor expansion of a in a 9.472 * [backup-simplify]: Simplify 0 into 0 9.472 * [backup-simplify]: Simplify 1 into 1 9.472 * [taylor]: Taking taylor expansion of c in a 9.472 * [backup-simplify]: Simplify c into c 9.472 * [backup-simplify]: Simplify (* 0 c) into 0 9.472 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 9.472 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 9.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 9.472 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 9.472 * [taylor]: Taking taylor expansion of (* b d) in a 9.473 * [taylor]: Taking taylor expansion of b in a 9.473 * [backup-simplify]: Simplify b into b 9.473 * [taylor]: Taking taylor expansion of d in a 9.473 * [backup-simplify]: Simplify d into d 9.473 * [backup-simplify]: Simplify (* b d) into (* b d) 9.473 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 9.473 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 9.473 * [taylor]: Taking taylor expansion of (* a c) in a 9.473 * [taylor]: Taking taylor expansion of a in a 9.473 * [backup-simplify]: Simplify 0 into 0 9.473 * [backup-simplify]: Simplify 1 into 1 9.473 * [taylor]: Taking taylor expansion of c in a 9.473 * [backup-simplify]: Simplify c into c 9.473 * [backup-simplify]: Simplify (* 0 c) into 0 9.473 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 9.473 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 9.474 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 9.474 * [taylor]: Taking taylor expansion of (/ 1 c) in c 9.474 * [taylor]: Taking taylor expansion of c in c 9.474 * [backup-simplify]: Simplify 0 into 0 9.474 * [backup-simplify]: Simplify 1 into 1 9.474 * [backup-simplify]: Simplify (/ 1 1) into 1 9.474 * [taylor]: Taking taylor expansion of 1 in b 9.474 * [backup-simplify]: Simplify 1 into 1 9.475 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 9.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 9.475 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 9.475 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 9.475 * [taylor]: Taking taylor expansion of (* b d) in c 9.475 * [taylor]: Taking taylor expansion of b in c 9.475 * [backup-simplify]: Simplify b into b 9.475 * [taylor]: Taking taylor expansion of d in c 9.475 * [backup-simplify]: Simplify d into d 9.475 * [backup-simplify]: Simplify (* b d) into (* b d) 9.476 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 9.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.476 * [taylor]: Taking taylor expansion of 0 in b 9.476 * [backup-simplify]: Simplify 0 into 0 9.476 * [taylor]: Taking taylor expansion of 1 in d 9.476 * [backup-simplify]: Simplify 1 into 1 9.477 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 9.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 9.478 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 9.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 9.478 * [backup-simplify]: Simplify (+ 0 0) into 0 9.478 * [taylor]: Taking taylor expansion of 0 in c 9.479 * [backup-simplify]: Simplify 0 into 0 9.479 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 9.479 * [taylor]: Taking taylor expansion of (* b d) in b 9.479 * [taylor]: Taking taylor expansion of b in b 9.479 * [backup-simplify]: Simplify 0 into 0 9.479 * [backup-simplify]: Simplify 1 into 1 9.479 * [taylor]: Taking taylor expansion of d in b 9.479 * [backup-simplify]: Simplify d into d 9.479 * [backup-simplify]: Simplify (* 0 d) into 0 9.479 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 9.479 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 9.479 * [taylor]: Taking taylor expansion of (/ 1 d) in d 9.479 * [taylor]: Taking taylor expansion of d in d 9.479 * [backup-simplify]: Simplify 0 into 0 9.479 * [backup-simplify]: Simplify 1 into 1 9.480 * [backup-simplify]: Simplify (/ 1 1) into 1 9.480 * [backup-simplify]: Simplify 1 into 1 9.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.481 * [taylor]: Taking taylor expansion of 0 in b 9.481 * [backup-simplify]: Simplify 0 into 0 9.481 * [taylor]: Taking taylor expansion of 0 in d 9.481 * [backup-simplify]: Simplify 0 into 0 9.481 * [taylor]: Taking taylor expansion of 0 in d 9.481 * [backup-simplify]: Simplify 0 into 0 9.481 * [backup-simplify]: Simplify 1 into 1 9.482 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 9.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 9.483 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 9.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 9.484 * [backup-simplify]: Simplify (+ 0 0) into 0 9.484 * [taylor]: Taking taylor expansion of 0 in c 9.484 * [backup-simplify]: Simplify 0 into 0 9.484 * [taylor]: Taking taylor expansion of 0 in b 9.484 * [backup-simplify]: Simplify 0 into 0 9.484 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 9.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 9.484 * [taylor]: Taking taylor expansion of 0 in b 9.485 * [backup-simplify]: Simplify 0 into 0 9.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.485 * [taylor]: Taking taylor expansion of 0 in b 9.486 * [backup-simplify]: Simplify 0 into 0 9.486 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 9.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 9.487 * [taylor]: Taking taylor expansion of 0 in d 9.487 * [backup-simplify]: Simplify 0 into 0 9.487 * [taylor]: Taking taylor expansion of 0 in d 9.487 * [backup-simplify]: Simplify 0 into 0 9.487 * [taylor]: Taking taylor expansion of 0 in d 9.487 * [backup-simplify]: Simplify 0 into 0 9.487 * [taylor]: Taking taylor expansion of 0 in d 9.487 * [backup-simplify]: Simplify 0 into 0 9.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.488 * [backup-simplify]: Simplify 0 into 0 9.488 * [backup-simplify]: Simplify 0 into 0 9.488 * [backup-simplify]: Simplify 0 into 0 9.488 * [backup-simplify]: Simplify 0 into 0 9.489 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 9.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 9.491 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0 9.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 9.491 * [backup-simplify]: Simplify (+ 0 0) into 0 9.491 * [taylor]: Taking taylor expansion of 0 in c 9.491 * [backup-simplify]: Simplify 0 into 0 9.491 * [taylor]: Taking taylor expansion of 0 in b 9.491 * [backup-simplify]: Simplify 0 into 0 9.492 * [taylor]: Taking taylor expansion of 0 in b 9.492 * [backup-simplify]: Simplify 0 into 0 9.492 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 9.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 9.492 * [taylor]: Taking taylor expansion of 0 in b 9.492 * [backup-simplify]: Simplify 0 into 0 9.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.493 * [taylor]: Taking taylor expansion of 0 in b 9.493 * [backup-simplify]: Simplify 0 into 0 9.493 * [taylor]: Taking taylor expansion of 0 in d 9.493 * [backup-simplify]: Simplify 0 into 0 9.493 * [taylor]: Taking taylor expansion of 0 in d 9.493 * [backup-simplify]: Simplify 0 into 0 9.494 * [taylor]: Taking taylor expansion of 0 in d 9.494 * [backup-simplify]: Simplify 0 into 0 9.495 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 9.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 9.495 * [taylor]: Taking taylor expansion of 0 in d 9.495 * [backup-simplify]: Simplify 0 into 0 9.495 * [taylor]: Taking taylor expansion of 0 in d 9.495 * [backup-simplify]: Simplify 0 into 0 9.495 * [taylor]: Taking taylor expansion of 0 in d 9.495 * [backup-simplify]: Simplify 0 into 0 9.495 * [taylor]: Taking taylor expansion of 0 in d 9.495 * [backup-simplify]: Simplify 0 into 0 9.495 * [backup-simplify]: Simplify 0 into 0 9.495 * [backup-simplify]: Simplify 0 into 0 9.496 * [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)) 9.496 * * * [progress]: simplifying candidates 9.496 * * * * [progress]: [ 1 / 100 ] simplifiying candidate # 9.496 * * * * [progress]: [ 2 / 100 ] simplifiying candidate # 9.496 * * * * [progress]: [ 3 / 100 ] simplifiying candidate # 9.497 * * * * [progress]: [ 4 / 100 ] simplifiying candidate # 9.497 * * * * [progress]: [ 5 / 100 ] simplifiying candidate # 9.497 * * * * [progress]: [ 6 / 100 ] simplifiying candidate # 9.497 * * * * [progress]: [ 7 / 100 ] simplifiying candidate # 9.497 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 9.497 * * [simplify]: iters left: 6 (8 enodes) 9.501 * * [simplify]: iters left: 5 (26 enodes) 9.507 * * [simplify]: Extracting #0: cost 1 inf + 0 9.508 * * [simplify]: Extracting #1: cost 4 inf + 0 9.508 * * [simplify]: Extracting #2: cost 7 inf + 0 9.508 * * [simplify]: Extracting #3: cost 10 inf + 0 9.508 * * [simplify]: Extracting #4: cost 14 inf + 0 9.508 * * [simplify]: Extracting #5: cost 10 inf + 84 9.508 * * [simplify]: Extracting #6: cost 8 inf + 166 9.508 * * [simplify]: Extracting #7: cost 4 inf + 854 9.509 * * [simplify]: Extracting #8: cost 1 inf + 1540 9.509 * * [simplify]: Extracting #9: cost 0 inf + 1782 9.510 * [simplify]: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) 9.510 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) 9.510 * * * * [progress]: [ 8 / 100 ] simplifiying candidate # 9.511 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) 9.511 * * [simplify]: iters left: 6 (7 enodes) 9.514 * * [simplify]: iters left: 5 (22 enodes) 9.524 * * [simplify]: Extracting #0: cost 1 inf + 0 9.524 * * [simplify]: Extracting #1: cost 3 inf + 0 9.524 * * [simplify]: Extracting #2: cost 5 inf + 0 9.524 * * [simplify]: Extracting #3: cost 8 inf + 0 9.524 * * [simplify]: Extracting #4: cost 12 inf + 0 9.524 * * [simplify]: Extracting #5: cost 10 inf + 2 9.524 * * [simplify]: Extracting #6: cost 1 inf + 936 9.525 * * [simplify]: Extracting #7: cost 0 inf + 1138 9.525 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) 9.525 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) 9.526 * * * * [progress]: [ 9 / 100 ] simplifiying candidate # 9.526 * [simplify]: Simplifying (sqrt 1) 9.526 * * [simplify]: iters left: 1 (2 enodes) 9.529 * * [simplify]: Extracting #0: cost 1 inf + 0 9.529 * * [simplify]: Extracting #1: cost 0 inf + 1 9.529 * [simplify]: Simplified to 1 9.529 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (* 1 (sqrt (+ (* c c) (* d d)))))) 9.529 * * * * [progress]: [ 10 / 100 ] simplifiying candidate # 9.530 * [simplify]: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) 9.530 * * [simplify]: iters left: 6 (9 enodes) 9.535 * * [simplify]: iters left: 5 (45 enodes) 9.556 * * [simplify]: iters left: 4 (100 enodes) 9.602 * * [simplify]: iters left: 3 (201 enodes) 9.691 * * [simplify]: iters left: 2 (406 enodes) 9.868 * * [simplify]: Extracting #0: cost 1 inf + 0 9.868 * * [simplify]: Extracting #1: cost 3 inf + 0 9.868 * * [simplify]: Extracting #2: cost 6 inf + 0 9.868 * * [simplify]: Extracting #3: cost 62 inf + 0 9.869 * * [simplify]: Extracting #4: cost 166 inf + 460 9.872 * * [simplify]: Extracting #5: cost 131 inf + 12951 9.879 * * [simplify]: Extracting #6: cost 49 inf + 45746 9.884 * * [simplify]: Extracting #7: cost 1 inf + 66256 9.890 * * [simplify]: Extracting #8: cost 0 inf + 65919 9.899 * [simplify]: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) 9.899 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d 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)))))))) 9.899 * * * * [progress]: [ 11 / 100 ] simplifiying candidate # 9.899 * [simplify]: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) 9.900 * * [simplify]: iters left: 6 (8 enodes) 9.902 * * [simplify]: iters left: 5 (37 enodes) 9.910 * * [simplify]: iters left: 4 (67 enodes) 9.934 * * [simplify]: iters left: 3 (123 enodes) 9.968 * * [simplify]: iters left: 2 (278 enodes) 10.090 * * [simplify]: Extracting #0: cost 1 inf + 0 10.090 * * [simplify]: Extracting #1: cost 3 inf + 0 10.090 * * [simplify]: Extracting #2: cost 50 inf + 0 10.091 * * [simplify]: Extracting #3: cost 150 inf + 0 10.091 * * [simplify]: Extracting #4: cost 194 inf + 1180 10.094 * * [simplify]: Extracting #5: cost 123 inf + 12421 10.102 * * [simplify]: Extracting #6: cost 12 inf + 33804 10.117 * * [simplify]: Extracting #7: cost 0 inf + 36129 10.133 * [simplify]: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) 10.133 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d)))))) 10.133 * * * * [progress]: [ 12 / 100 ] simplifiying candidate # 10.134 * [simplify]: Simplifying (+ (* c c) (* d d)) 10.134 * * [simplify]: iters left: 4 (5 enodes) 10.136 * * [simplify]: iters left: 3 (16 enodes) 10.140 * * [simplify]: Extracting #0: cost 1 inf + 0 10.141 * * [simplify]: Extracting #1: cost 4 inf + 0 10.141 * * [simplify]: Extracting #2: cost 8 inf + 0 10.141 * * [simplify]: Extracting #3: cost 4 inf + 84 10.141 * * [simplify]: Extracting #4: cost 0 inf + 410 10.141 * [simplify]: Simplified to (+ (* c c) (* d d)) 10.141 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (pow (+ (* c c) (* d d)) (/ 1 2)))) 10.141 * * * * [progress]: [ 13 / 100 ] simplifiying candidate # 10.141 * * * * [progress]: [ 14 / 100 ] simplifiying candidate # 10.142 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d))) 10.142 * * [simplify]: iters left: 5 (6 enodes) 10.144 * * [simplify]: iters left: 4 (19 enodes) 10.149 * * [simplify]: Extracting #0: cost 1 inf + 0 10.150 * * [simplify]: Extracting #1: cost 3 inf + 0 10.150 * * [simplify]: Extracting #2: cost 6 inf + 0 10.150 * * [simplify]: Extracting #3: cost 10 inf + 0 10.150 * * [simplify]: Extracting #4: cost 6 inf + 84 10.150 * * [simplify]: Extracting #5: cost 0 inf + 734 10.150 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d))) 10.150 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (fabs (sqrt (+ (* c c) (* d d)))))) 10.150 * * * * [progress]: [ 15 / 100 ] simplifiying candidate # 10.150 * * * * [progress]: [ 16 / 100 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* c c) (* d d)))))))> 10.151 * * * * [progress]: [ 17 / 100 ] simplifiying candidate # 10.151 * * * * [progress]: [ 18 / 100 ] simplifiying candidate # 10.151 * * * * [progress]: [ 19 / 100 ] simplifiying candidate # 10.151 * * * * [progress]: [ 20 / 100 ] simplifiying candidate # 10.151 * * * * [progress]: [ 21 / 100 ] simplifiying candidate # 10.151 * * * * [progress]: [ 22 / 100 ] simplifiying candidate # 10.151 * * * * [progress]: [ 23 / 100 ] simplifiying candidate # 10.151 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 10.151 * * [simplify]: iters left: 6 (8 enodes) 10.155 * * [simplify]: iters left: 5 (26 enodes) 10.161 * * [simplify]: Extracting #0: cost 1 inf + 0 10.162 * * [simplify]: Extracting #1: cost 4 inf + 0 10.162 * * [simplify]: Extracting #2: cost 7 inf + 0 10.162 * * [simplify]: Extracting #3: cost 10 inf + 0 10.162 * * [simplify]: Extracting #4: cost 14 inf + 0 10.162 * * [simplify]: Extracting #5: cost 10 inf + 84 10.162 * * [simplify]: Extracting #6: cost 8 inf + 166 10.162 * * [simplify]: Extracting #7: cost 4 inf + 854 10.162 * * [simplify]: Extracting #8: cost 1 inf + 1540 10.163 * * [simplify]: Extracting #9: cost 0 inf + 1782 10.163 * [simplify]: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) 10.163 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ 1 (/ (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))) 10.163 * * * * [progress]: [ 24 / 100 ] simplifiying candidate # 10.163 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) 10.163 * * [simplify]: iters left: 6 (7 enodes) 10.165 * * [simplify]: iters left: 5 (22 enodes) 10.168 * * [simplify]: Extracting #0: cost 1 inf + 0 10.168 * * [simplify]: Extracting #1: cost 3 inf + 0 10.168 * * [simplify]: Extracting #2: cost 5 inf + 0 10.168 * * [simplify]: Extracting #3: cost 8 inf + 0 10.168 * * [simplify]: Extracting #4: cost 12 inf + 0 10.168 * * [simplify]: Extracting #5: cost 10 inf + 2 10.168 * * [simplify]: Extracting #6: cost 1 inf + 936 10.169 * * [simplify]: Extracting #7: cost 0 inf + 1138 10.169 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) 10.169 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ 1 (/ (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))) 10.169 * * * * [progress]: [ 25 / 100 ] simplifiying candidate # 10.169 * [simplify]: Simplifying (sqrt 1) 10.169 * * [simplify]: iters left: 1 (2 enodes) 10.171 * * [simplify]: Extracting #0: cost 1 inf + 0 10.171 * * [simplify]: Extracting #1: cost 0 inf + 1 10.171 * [simplify]: Simplified to 1 10.171 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ 1 (/ (* 1 (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))) 10.171 * * * * [progress]: [ 26 / 100 ] simplifiying candidate # 10.172 * [simplify]: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) 10.172 * * [simplify]: iters left: 6 (9 enodes) 10.175 * * [simplify]: iters left: 5 (45 enodes) 10.188 * * [simplify]: iters left: 4 (100 enodes) 10.213 * * [simplify]: iters left: 3 (201 enodes) 10.269 * * [simplify]: iters left: 2 (406 enodes) 10.402 * * [simplify]: Extracting #0: cost 1 inf + 0 10.402 * * [simplify]: Extracting #1: cost 3 inf + 0 10.402 * * [simplify]: Extracting #2: cost 6 inf + 0 10.402 * * [simplify]: Extracting #3: cost 62 inf + 0 10.403 * * [simplify]: Extracting #4: cost 166 inf + 460 10.406 * * [simplify]: Extracting #5: cost 131 inf + 12951 10.413 * * [simplify]: Extracting #6: cost 49 inf + 45746 10.423 * * [simplify]: Extracting #7: cost 1 inf + 66256 10.428 * * [simplify]: Extracting #8: cost 0 inf + 65919 10.434 * [simplify]: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) 10.434 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b c 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)))))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))) 10.434 * * * * [progress]: [ 27 / 100 ] simplifiying candidate # 10.435 * [simplify]: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) 10.435 * * [simplify]: iters left: 6 (8 enodes) 10.437 * * [simplify]: iters left: 5 (37 enodes) 10.443 * * [simplify]: iters left: 4 (67 enodes) 10.461 * * [simplify]: iters left: 3 (123 enodes) 10.490 * * [simplify]: iters left: 2 (278 enodes) 10.625 * * [simplify]: Extracting #0: cost 1 inf + 0 10.625 * * [simplify]: Extracting #1: cost 3 inf + 0 10.625 * * [simplify]: Extracting #2: cost 50 inf + 0 10.625 * * [simplify]: Extracting #3: cost 150 inf + 0 10.626 * * [simplify]: Extracting #4: cost 194 inf + 1180 10.631 * * [simplify]: Extracting #5: cost 123 inf + 12421 10.648 * * [simplify]: Extracting #6: cost 12 inf + 33804 10.663 * * [simplify]: Extracting #7: cost 0 inf + 36129 10.678 * [simplify]: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) 10.679 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ 1 (/ (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d)))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))) 10.679 * * * * [progress]: [ 28 / 100 ] simplifiying candidate # 10.679 * [simplify]: Simplifying (+ (* c c) (* d d)) 10.679 * * [simplify]: iters left: 4 (5 enodes) 10.681 * * [simplify]: iters left: 3 (16 enodes) 10.686 * * [simplify]: Extracting #0: cost 1 inf + 0 10.686 * * [simplify]: Extracting #1: cost 4 inf + 0 10.686 * * [simplify]: Extracting #2: cost 8 inf + 0 10.686 * * [simplify]: Extracting #3: cost 4 inf + 84 10.686 * * [simplify]: Extracting #4: cost 0 inf + 410 10.686 * [simplify]: Simplified to (+ (* c c) (* d d)) 10.686 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ 1 (/ (pow (+ (* c c) (* d d)) (/ 1 2)) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))) 10.686 * * * * [progress]: [ 29 / 100 ] simplifiying candidate # 10.686 * * * * [progress]: [ 30 / 100 ] simplifiying candidate # 10.687 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d))) 10.687 * * [simplify]: iters left: 5 (6 enodes) 10.689 * * [simplify]: iters left: 4 (19 enodes) 10.694 * * [simplify]: Extracting #0: cost 1 inf + 0 10.694 * * [simplify]: Extracting #1: cost 3 inf + 0 10.694 * * [simplify]: Extracting #2: cost 6 inf + 0 10.695 * * [simplify]: Extracting #3: cost 10 inf + 0 10.695 * * [simplify]: Extracting #4: cost 6 inf + 84 10.695 * * [simplify]: Extracting #5: cost 0 inf + 734 10.695 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d))) 10.695 * [simplify]: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ 1 (/ (fabs (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))) 10.695 * * * * [progress]: [ 31 / 100 ] simplifiying candidate # 10.695 * * * * [progress]: [ 32 / 100 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* c c) (* d d))))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))> 10.695 * * * * [progress]: [ 33 / 100 ] simplifiying candidate # 10.696 * * * * [progress]: [ 34 / 100 ] simplifiying candidate # 10.696 * [simplify]: Simplifying (- (log (sqrt (+ (* c c) (* d d)))) (log (+ (* a c) (* b d)))) 10.696 * * [simplify]: iters left: 6 (14 enodes) 10.702 * * [simplify]: iters left: 5 (48 enodes) 10.714 * * [simplify]: iters left: 4 (51 enodes) 10.728 * * [simplify]: Extracting #0: cost 1 inf + 0 10.728 * * [simplify]: Extracting #1: cost 5 inf + 0 10.728 * * [simplify]: Extracting #2: cost 10 inf + 0 10.728 * * [simplify]: Extracting #3: cost 15 inf + 0 10.728 * * [simplify]: Extracting #4: cost 24 inf + 0 10.728 * * [simplify]: Extracting #5: cost 19 inf + 128 10.729 * * [simplify]: Extracting #6: cost 8 inf + 1224 10.730 * * [simplify]: Extracting #7: cost 1 inf + 2936 10.731 * * [simplify]: Extracting #8: cost 0 inf + 3400 10.732 * [simplify]: Simplified to (- (log (sqrt (+ (* c c) (* d d)))) (log (+ (* d b) (* a c)))) 10.732 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (exp (- (log (sqrt (+ (* c c) (* d d)))) (log (+ (* d b) (* a c)))))) (sqrt (+ (* c c) (* d d))))) 10.732 * * * * [progress]: [ 35 / 100 ] simplifiying candidate # 10.732 * * * * [progress]: [ 36 / 100 ] simplifiying candidate # 10.732 * * * * [progress]: [ 37 / 100 ] simplifiying candidate # 10.733 * [simplify]: Simplifying (/ (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d)))) 10.733 * * [simplify]: iters left: 6 (16 enodes) 10.741 * * [simplify]: iters left: 5 (71 enodes) 10.771 * * [simplify]: iters left: 4 (220 enodes) 10.880 * * [simplify]: Extracting #0: cost 1 inf + 0 10.880 * * [simplify]: Extracting #1: cost 26 inf + 0 10.880 * * [simplify]: Extracting #2: cost 74 inf + 1 10.881 * * [simplify]: Extracting #3: cost 185 inf + 1 10.882 * * [simplify]: Extracting #4: cost 157 inf + 4709 10.892 * * [simplify]: Extracting #5: cost 24 inf + 33041 10.902 * * [simplify]: Extracting #6: cost 0 inf + 40140 10.919 * [simplify]: Simplified to (/ (* (sqrt (+ (* c c) (* d d))) (/ (+ (* c c) (* d d)) (+ (* d b) (* c a)))) (* (+ (* d b) (* c a)) (+ (* d b) (* c a)))) 10.919 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (cbrt (/ (* (sqrt (+ (* c c) (* d d))) (/ (+ (* c c) (* d d)) (+ (* d b) (* c a)))) (* (+ (* d b) (* c a)) (+ (* d b) (* c a)))))) (sqrt (+ (* c c) (* d d))))) 10.919 * * * * [progress]: [ 38 / 100 ] simplifiying candidate # 10.919 * * * * [progress]: [ 39 / 100 ] simplifiying candidate # 10.919 * * * * [progress]: [ 40 / 100 ] simplifiying candidate # 10.920 * * * * [progress]: [ 41 / 100 ] simplifiying candidate # 10.920 * * * * [progress]: [ 42 / 100 ] simplifiying candidate # 10.920 * [simplify]: Simplifying (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) 10.920 * * [simplify]: iters left: 6 (16 enodes) 10.928 * * [simplify]: iters left: 5 (58 enodes) 10.940 * * [simplify]: iters left: 4 (73 enodes) 10.950 * * [simplify]: iters left: 3 (80 enodes) 10.960 * * [simplify]: iters left: 2 (83 enodes) 10.972 * * [simplify]: Extracting #0: cost 1 inf + 0 10.973 * * [simplify]: Extracting #1: cost 11 inf + 0 10.973 * * [simplify]: Extracting #2: cost 22 inf + 0 10.973 * * [simplify]: Extracting #3: cost 27 inf + 0 10.973 * * [simplify]: Extracting #4: cost 36 inf + 0 10.973 * * [simplify]: Extracting #5: cost 30 inf + 170 10.973 * * [simplify]: Extracting #6: cost 20 inf + 1194 10.974 * * [simplify]: Extracting #7: cost 5 inf + 6764 10.976 * * [simplify]: Extracting #8: cost 0 inf + 9224 10.977 * [simplify]: Simplified to (* (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* d b) (* c a)))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* d b) (* c a))))) 10.977 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (* (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* d b) (* c a)))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* d b) (* c a))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d))))) 10.978 * [simplify]: Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))) 10.978 * * [simplify]: iters left: 6 (14 enodes) 10.981 * * [simplify]: iters left: 5 (46 enodes) 10.988 * * [simplify]: Extracting #0: cost 1 inf + 0 10.988 * * [simplify]: Extracting #1: cost 4 inf + 0 10.988 * * [simplify]: Extracting #2: cost 8 inf + 0 10.988 * * [simplify]: Extracting #3: cost 13 inf + 0 10.988 * * [simplify]: Extracting #4: cost 22 inf + 0 10.988 * * [simplify]: Extracting #5: cost 19 inf + 45 10.989 * * [simplify]: Extracting #6: cost 13 inf + 295 10.989 * * [simplify]: Extracting #7: cost 6 inf + 1274 10.989 * * [simplify]: Extracting #8: cost 1 inf + 2528 10.990 * * [simplify]: Extracting #9: cost 0 inf + 3012 10.990 * [simplify]: Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* d b) (* a c)))) 10.990 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* d b) (* a c)))))) (sqrt (+ (* c c) (* d d))))) 10.991 * * * * [progress]: [ 43 / 100 ] simplifiying candidate # 10.991 * [simplify]: Simplifying (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* a c) (* b d)))) 10.991 * * [simplify]: iters left: 6 (15 enodes) 10.994 * * [simplify]: iters left: 5 (51 enodes) 11.001 * * [simplify]: iters left: 4 (55 enodes) 11.011 * * [simplify]: iters left: 3 (58 enodes) 11.027 * * [simplify]: Extracting #0: cost 1 inf + 0 11.027 * * [simplify]: Extracting #1: cost 7 inf + 0 11.027 * * [simplify]: Extracting #2: cost 14 inf + 0 11.027 * * [simplify]: Extracting #3: cost 19 inf + 0 11.027 * * [simplify]: Extracting #4: cost 28 inf + 0 11.027 * * [simplify]: Extracting #5: cost 22 inf + 170 11.028 * * [simplify]: Extracting #6: cost 14 inf + 908 11.029 * * [simplify]: Extracting #7: cost 4 inf + 3578 11.030 * * [simplify]: Extracting #8: cost 0 inf + 5272 11.032 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* c a))))) 11.032 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* c a))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d))))) 11.033 * [simplify]: Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))) 11.033 * * [simplify]: iters left: 6 (14 enodes) 11.039 * * [simplify]: iters left: 5 (46 enodes) 11.051 * * [simplify]: Extracting #0: cost 1 inf + 0 11.051 * * [simplify]: Extracting #1: cost 4 inf + 0 11.051 * * [simplify]: Extracting #2: cost 8 inf + 0 11.051 * * [simplify]: Extracting #3: cost 13 inf + 0 11.051 * * [simplify]: Extracting #4: cost 22 inf + 0 11.051 * * [simplify]: Extracting #5: cost 19 inf + 45 11.052 * * [simplify]: Extracting #6: cost 13 inf + 295 11.052 * * [simplify]: Extracting #7: cost 6 inf + 1194 11.053 * * [simplify]: Extracting #8: cost 1 inf + 2408 11.054 * * [simplify]: Extracting #9: cost 0 inf + 2852 11.055 * [simplify]: Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* a c)))) 11.055 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* a c) (* b d)))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* a c)))))) (sqrt (+ (* c c) (* d d))))) 11.055 * * * * [progress]: [ 44 / 100 ] simplifiying candidate # 11.055 * [simplify]: Simplifying (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) 1) 11.055 * * [simplify]: iters left: 6 (10 enodes) 11.058 * * [simplify]: iters left: 5 (33 enodes) 11.064 * * [simplify]: iters left: 4 (43 enodes) 11.070 * * [simplify]: iters left: 3 (44 enodes) 11.076 * * [simplify]: Extracting #0: cost 1 inf + 0 11.076 * * [simplify]: Extracting #1: cost 5 inf + 0 11.076 * * [simplify]: Extracting #2: cost 7 inf + 1 11.076 * * [simplify]: Extracting #3: cost 9 inf + 1 11.076 * * [simplify]: Extracting #4: cost 12 inf + 1 11.076 * * [simplify]: Extracting #5: cost 16 inf + 1 11.076 * * [simplify]: Extracting #6: cost 13 inf + 44 11.076 * * [simplify]: Extracting #7: cost 11 inf + 126 11.077 * * [simplify]: Extracting #8: cost 6 inf + 735 11.077 * * [simplify]: Extracting #9: cost 2 inf + 1785 11.077 * * [simplify]: Extracting #10: cost 0 inf + 2349 11.078 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) 11.078 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d))))) 11.078 * [simplify]: Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))) 11.078 * * [simplify]: iters left: 6 (13 enodes) 11.081 * * [simplify]: iters left: 5 (43 enodes) 11.093 * * [simplify]: Extracting #0: cost 1 inf + 0 11.093 * * [simplify]: Extracting #1: cost 4 inf + 0 11.093 * * [simplify]: Extracting #2: cost 9 inf + 0 11.093 * * [simplify]: Extracting #3: cost 17 inf + 0 11.093 * * [simplify]: Extracting #4: cost 16 inf + 4 11.093 * * [simplify]: Extracting #5: cost 13 inf + 294 11.094 * * [simplify]: Extracting #6: cost 5 inf + 990 11.094 * * [simplify]: Extracting #7: cost 2 inf + 1798 11.095 * * [simplify]: Extracting #8: cost 0 inf + 2444 11.096 * [simplify]: Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* d b) (* a c))) 11.096 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* d b) (* a c))))) (sqrt (+ (* c c) (* d d))))) 11.096 * * * * [progress]: [ 45 / 100 ] simplifiying candidate # 11.097 * [simplify]: Simplifying (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) 11.097 * * [simplify]: iters left: 6 (16 enodes) 11.105 * * [simplify]: iters left: 5 (55 enodes) 11.120 * * [simplify]: iters left: 4 (57 enodes) 11.135 * * [simplify]: Extracting #0: cost 1 inf + 0 11.135 * * [simplify]: Extracting #1: cost 6 inf + 0 11.135 * * [simplify]: Extracting #2: cost 13 inf + 0 11.135 * * [simplify]: Extracting #3: cost 19 inf + 0 11.135 * * [simplify]: Extracting #4: cost 28 inf + 0 11.135 * * [simplify]: Extracting #5: cost 21 inf + 212 11.136 * * [simplify]: Extracting #6: cost 12 inf + 1234 11.137 * * [simplify]: Extracting #7: cost 0 inf + 5112 11.139 * [simplify]: Simplified to (/ (fabs (cbrt (+ (* c c) (* d d)))) (* (cbrt (+ (* d b) (* c a))) (cbrt (+ (* d b) (* c a))))) 11.139 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ (fabs (cbrt (+ (* c c) (* d d)))) (* (cbrt (+ (* d b) (* c a))) (cbrt (+ (* d b) (* c a))))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d))))) 11.139 * [simplify]: Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))) 11.139 * * [simplify]: iters left: 6 (14 enodes) 11.145 * * [simplify]: iters left: 5 (46 enodes) 11.157 * * [simplify]: Extracting #0: cost 1 inf + 0 11.158 * * [simplify]: Extracting #1: cost 4 inf + 0 11.158 * * [simplify]: Extracting #2: cost 8 inf + 0 11.158 * * [simplify]: Extracting #3: cost 13 inf + 0 11.158 * * [simplify]: Extracting #4: cost 22 inf + 0 11.158 * * [simplify]: Extracting #5: cost 19 inf + 45 11.158 * * [simplify]: Extracting #6: cost 13 inf + 295 11.159 * * [simplify]: Extracting #7: cost 6 inf + 1314 11.159 * * [simplify]: Extracting #8: cost 1 inf + 2608 11.160 * * [simplify]: Extracting #9: cost 0 inf + 3092 11.161 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* d b) (* a c)))) 11.161 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* d b) (* a c)))))) (sqrt (+ (* c c) (* d d))))) 11.161 * * * * [progress]: [ 46 / 100 ] simplifiying candidate # 11.162 * [simplify]: Simplifying (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* a c) (* b d)))) 11.162 * * [simplify]: iters left: 6 (15 enodes) 11.168 * * [simplify]: iters left: 5 (50 enodes) 11.182 * * [simplify]: Extracting #0: cost 1 inf + 0 11.182 * * [simplify]: Extracting #1: cost 4 inf + 0 11.182 * * [simplify]: Extracting #2: cost 9 inf + 0 11.182 * * [simplify]: Extracting #3: cost 15 inf + 0 11.182 * * [simplify]: Extracting #4: cost 24 inf + 0 11.183 * * [simplify]: Extracting #5: cost 18 inf + 170 11.183 * * [simplify]: Extracting #6: cost 10 inf + 948 11.184 * * [simplify]: Extracting #7: cost 3 inf + 2286 11.185 * * [simplify]: Extracting #8: cost 0 inf + 3416 11.186 * [simplify]: Simplified to (/ (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* c a)))) 11.186 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* c a)))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d))))) 11.187 * [simplify]: Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))) 11.187 * * [simplify]: iters left: 6 (14 enodes) 11.193 * * [simplify]: iters left: 5 (46 enodes) 11.205 * * [simplify]: Extracting #0: cost 1 inf + 0 11.205 * * [simplify]: Extracting #1: cost 4 inf + 0 11.205 * * [simplify]: Extracting #2: cost 8 inf + 0 11.205 * * [simplify]: Extracting #3: cost 13 inf + 0 11.205 * * [simplify]: Extracting #4: cost 22 inf + 0 11.205 * * [simplify]: Extracting #5: cost 19 inf + 45 11.205 * * [simplify]: Extracting #6: cost 13 inf + 295 11.206 * * [simplify]: Extracting #7: cost 6 inf + 1234 11.207 * * [simplify]: Extracting #8: cost 1 inf + 2488 11.208 * * [simplify]: Extracting #9: cost 0 inf + 2932 11.209 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* a c)))) 11.209 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* a c) (* b d)))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* a c)))))) (sqrt (+ (* c c) (* d d))))) 11.209 * * * * [progress]: [ 47 / 100 ] simplifiying candidate # 11.209 * [simplify]: Simplifying (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 1) 11.209 * * [simplify]: iters left: 6 (10 enodes) 11.215 * * [simplify]: iters left: 5 (32 enodes) 11.225 * * [simplify]: iters left: 4 (36 enodes) 11.231 * * [simplify]: Extracting #0: cost 1 inf + 0 11.231 * * [simplify]: Extracting #1: cost 5 inf + 0 11.231 * * [simplify]: Extracting #2: cost 7 inf + 1 11.231 * * [simplify]: Extracting #3: cost 10 inf + 1 11.231 * * [simplify]: Extracting #4: cost 14 inf + 1 11.231 * * [simplify]: Extracting #5: cost 11 inf + 44 11.231 * * [simplify]: Extracting #6: cost 8 inf + 167 11.231 * * [simplify]: Extracting #7: cost 5 inf + 733 11.231 * * [simplify]: Extracting #8: cost 0 inf + 1783 11.232 * [simplify]: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) 11.232 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d))))) 11.232 * [simplify]: Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))) 11.232 * * [simplify]: iters left: 6 (13 enodes) 11.236 * * [simplify]: iters left: 5 (43 enodes) 11.242 * * [simplify]: Extracting #0: cost 1 inf + 0 11.242 * * [simplify]: Extracting #1: cost 4 inf + 0 11.242 * * [simplify]: Extracting #2: cost 9 inf + 0 11.242 * * [simplify]: Extracting #3: cost 17 inf + 0 11.242 * * [simplify]: Extracting #4: cost 16 inf + 4 11.242 * * [simplify]: Extracting #5: cost 13 inf + 294 11.243 * * [simplify]: Extracting #6: cost 5 inf + 1030 11.243 * * [simplify]: Extracting #7: cost 2 inf + 1878 11.243 * * [simplify]: Extracting #8: cost 0 inf + 2524 11.244 * [simplify]: Simplified to (/ (sqrt (cbrt (+ (* c c) (* d d)))) (+ (* d b) (* a c))) 11.244 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (+ (* d b) (* a c))))) (sqrt (+ (* c c) (* d d))))) 11.244 * * * * [progress]: [ 48 / 100 ] simplifiying candidate # 11.244 * [simplify]: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) 11.244 * * [simplify]: iters left: 6 (15 enodes) 11.247 * * [simplify]: iters left: 5 (51 enodes) 11.255 * * [simplify]: iters left: 4 (53 enodes) 11.269 * * [simplify]: Extracting #0: cost 1 inf + 0 11.270 * * [simplify]: Extracting #1: cost 6 inf + 0 11.270 * * [simplify]: Extracting #2: cost 12 inf + 0 11.270 * * [simplify]: Extracting #3: cost 17 inf + 0 11.270 * * [simplify]: Extracting #4: cost 26 inf + 0 11.270 * * [simplify]: Extracting #5: cost 21 inf + 128 11.270 * * [simplify]: Extracting #6: cost 11 inf + 1192 11.272 * * [simplify]: Extracting #7: cost 0 inf + 4308 11.273 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* d b) (* a c))) (cbrt (+ (* d b) (* a c))))) 11.273 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* d b) (* a c))) (cbrt (+ (* d b) (* a c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d))))) 11.274 * [simplify]: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))) 11.274 * * [simplify]: iters left: 6 (14 enodes) 11.279 * * [simplify]: iters left: 5 (46 enodes) 11.285 * * [simplify]: Extracting #0: cost 1 inf + 0 11.285 * * [simplify]: Extracting #1: cost 4 inf + 0 11.285 * * [simplify]: Extracting #2: cost 8 inf + 0 11.285 * * [simplify]: Extracting #3: cost 13 inf + 0 11.285 * * [simplify]: Extracting #4: cost 22 inf + 0 11.286 * * [simplify]: Extracting #5: cost 19 inf + 45 11.286 * * [simplify]: Extracting #6: cost 13 inf + 295 11.286 * * [simplify]: Extracting #7: cost 6 inf + 1274 11.286 * * [simplify]: Extracting #8: cost 1 inf + 2408 11.287 * * [simplify]: Extracting #9: cost 0 inf + 2852 11.287 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* d b) (* a c)))) 11.287 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* d b) (* a c)))))) (sqrt (+ (* c c) (* d d))))) 11.287 * * * * [progress]: [ 49 / 100 ] simplifiying candidate # 11.288 * [simplify]: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))) 11.288 * * [simplify]: iters left: 6 (14 enodes) 11.291 * * [simplify]: iters left: 5 (46 enodes) 11.297 * * [simplify]: Extracting #0: cost 1 inf + 0 11.297 * * [simplify]: Extracting #1: cost 4 inf + 0 11.297 * * [simplify]: Extracting #2: cost 8 inf + 0 11.297 * * [simplify]: Extracting #3: cost 13 inf + 0 11.297 * * [simplify]: Extracting #4: cost 22 inf + 0 11.297 * * [simplify]: Extracting #5: cost 19 inf + 45 11.297 * * [simplify]: Extracting #6: cost 13 inf + 295 11.298 * * [simplify]: Extracting #7: cost 6 inf + 1194 11.298 * * [simplify]: Extracting #8: cost 1 inf + 2288 11.298 * * [simplify]: Extracting #9: cost 0 inf + 2692 11.299 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* a c)))) 11.299 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* a c)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d))))) 11.299 * [simplify]: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))) 11.299 * * [simplify]: iters left: 6 (14 enodes) 11.302 * * [simplify]: iters left: 5 (46 enodes) 11.309 * * [simplify]: Extracting #0: cost 1 inf + 0 11.309 * * [simplify]: Extracting #1: cost 4 inf + 0 11.309 * * [simplify]: Extracting #2: cost 8 inf + 0 11.309 * * [simplify]: Extracting #3: cost 13 inf + 0 11.309 * * [simplify]: Extracting #4: cost 22 inf + 0 11.309 * * [simplify]: Extracting #5: cost 19 inf + 45 11.309 * * [simplify]: Extracting #6: cost 13 inf + 295 11.309 * * [simplify]: Extracting #7: cost 6 inf + 1194 11.310 * * [simplify]: Extracting #8: cost 1 inf + 2288 11.310 * * [simplify]: Extracting #9: cost 0 inf + 2692 11.311 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* a c)))) 11.311 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* a c)))))) (sqrt (+ (* c c) (* d d))))) 11.311 * * * * [progress]: [ 50 / 100 ] simplifiying candidate # 11.312 * [simplify]: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1) 11.312 * * [simplify]: iters left: 6 (9 enodes) 11.317 * * [simplify]: iters left: 5 (28 enodes) 11.325 * * [simplify]: iters left: 4 (30 enodes) 11.334 * * [simplify]: Extracting #0: cost 1 inf + 0 11.334 * * [simplify]: Extracting #1: cost 4 inf + 0 11.334 * * [simplify]: Extracting #2: cost 5 inf + 1 11.335 * * [simplify]: Extracting #3: cost 8 inf + 1 11.335 * * [simplify]: Extracting #4: cost 12 inf + 1 11.335 * * [simplify]: Extracting #5: cost 8 inf + 85 11.335 * * [simplify]: Extracting #6: cost 6 inf + 167 11.337 * * [simplify]: Extracting #7: cost 4 inf + 451 11.337 * * [simplify]: Extracting #8: cost 1 inf + 937 11.338 * * [simplify]: Extracting #9: cost 0 inf + 1139 11.339 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) 11.339 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d))))) 11.339 * [simplify]: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))) 11.340 * * [simplify]: iters left: 6 (13 enodes) 11.346 * * [simplify]: iters left: 5 (43 enodes) 11.358 * * [simplify]: Extracting #0: cost 1 inf + 0 11.358 * * [simplify]: Extracting #1: cost 4 inf + 0 11.358 * * [simplify]: Extracting #2: cost 9 inf + 0 11.358 * * [simplify]: Extracting #3: cost 17 inf + 0 11.358 * * [simplify]: Extracting #4: cost 16 inf + 4 11.358 * * [simplify]: Extracting #5: cost 13 inf + 294 11.359 * * [simplify]: Extracting #6: cost 5 inf + 990 11.359 * * [simplify]: Extracting #7: cost 2 inf + 1718 11.360 * * [simplify]: Extracting #8: cost 0 inf + 2284 11.361 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* d b) (* a c))) 11.361 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* d b) (* a c))))) (sqrt (+ (* c c) (* d d))))) 11.361 * * * * [progress]: [ 51 / 100 ] simplifiying candidate # 11.362 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) 11.362 * * [simplify]: iters left: 6 (12 enodes) 11.369 * * [simplify]: iters left: 5 (43 enodes) 11.381 * * [simplify]: iters left: 4 (50 enodes) 11.394 * * [simplify]: iters left: 3 (52 enodes) 11.408 * * [simplify]: Extracting #0: cost 1 inf + 0 11.408 * * [simplify]: Extracting #1: cost 7 inf + 0 11.408 * * [simplify]: Extracting #2: cost 11 inf + 1 11.408 * * [simplify]: Extracting #3: cost 14 inf + 1 11.408 * * [simplify]: Extracting #4: cost 20 inf + 1 11.408 * * [simplify]: Extracting #5: cost 14 inf + 89 11.409 * * [simplify]: Extracting #6: cost 12 inf + 173 11.409 * * [simplify]: Extracting #7: cost 6 inf + 1319 11.410 * * [simplify]: Extracting #8: cost 2 inf + 2338 11.411 * * [simplify]: Extracting #9: cost 0 inf + 2867 11.412 * [simplify]: Simplified to (/ (/ 1 (cbrt (+ (* b d) (* a c)))) (cbrt (+ (* b d) (* a c)))) 11.412 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ (/ 1 (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))))) 11.412 * [simplify]: Simplifying (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d)))) 11.412 * * [simplify]: iters left: 6 (13 enodes) 11.417 * * [simplify]: iters left: 5 (43 enodes) 11.429 * * [simplify]: Extracting #0: cost 1 inf + 0 11.429 * * [simplify]: Extracting #1: cost 4 inf + 0 11.429 * * [simplify]: Extracting #2: cost 8 inf + 0 11.429 * * [simplify]: Extracting #3: cost 14 inf + 0 11.429 * * [simplify]: Extracting #4: cost 22 inf + 0 11.430 * * [simplify]: Extracting #5: cost 16 inf + 87 11.430 * * [simplify]: Extracting #6: cost 12 inf + 253 11.430 * * [simplify]: Extracting #7: cost 5 inf + 1070 11.431 * * [simplify]: Extracting #8: cost 1 inf + 1964 11.432 * * [simplify]: Extracting #9: cost 0 inf + 2368 11.432 * [simplify]: Simplified to (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* d b) (* c a)))) 11.433 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt 1) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* d b) (* c a)))))) (sqrt (+ (* c c) (* d d))))) 11.433 * * * * [progress]: [ 52 / 100 ] simplifiying candidate # 11.433 * [simplify]: Simplifying (/ (sqrt 1) (sqrt (+ (* a c) (* b d)))) 11.433 * * [simplify]: iters left: 6 (11 enodes) 11.440 * * [simplify]: iters left: 5 (38 enodes) 11.451 * * [simplify]: iters left: 4 (40 enodes) 11.462 * * [simplify]: Extracting #0: cost 1 inf + 0 11.462 * * [simplify]: Extracting #1: cost 4 inf + 0 11.462 * * [simplify]: Extracting #2: cost 5 inf + 1 11.462 * * [simplify]: Extracting #3: cost 8 inf + 1 11.462 * * [simplify]: Extracting #4: cost 14 inf + 1 11.462 * * [simplify]: Extracting #5: cost 9 inf + 47 11.462 * * [simplify]: Extracting #6: cost 4 inf + 543 11.463 * * [simplify]: Extracting #7: cost 0 inf + 1159 11.463 * [simplify]: Simplified to (/ 1 (sqrt (+ (* b d) (* a c)))) 11.463 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ 1 (sqrt (+ (* b d) (* a c)))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d))))) 11.464 * [simplify]: Simplifying (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d)))) 11.464 * * [simplify]: iters left: 6 (13 enodes) 11.470 * * [simplify]: iters left: 5 (43 enodes) 11.482 * * [simplify]: Extracting #0: cost 1 inf + 0 11.482 * * [simplify]: Extracting #1: cost 4 inf + 0 11.482 * * [simplify]: Extracting #2: cost 8 inf + 0 11.482 * * [simplify]: Extracting #3: cost 14 inf + 0 11.482 * * [simplify]: Extracting #4: cost 22 inf + 0 11.482 * * [simplify]: Extracting #5: cost 16 inf + 87 11.482 * * [simplify]: Extracting #6: cost 12 inf + 253 11.483 * * [simplify]: Extracting #7: cost 5 inf + 1030 11.483 * * [simplify]: Extracting #8: cost 1 inf + 1844 11.484 * * [simplify]: Extracting #9: cost 0 inf + 2208 11.485 * [simplify]: Simplified to (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* d b) (* c a)))) 11.485 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt 1) (sqrt (+ (* a c) (* b d)))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* d b) (* c a)))))) (sqrt (+ (* c c) (* d d))))) 11.485 * * * * [progress]: [ 53 / 100 ] simplifiying candidate # 11.486 * [simplify]: Simplifying (/ (sqrt 1) 1) 11.486 * * [simplify]: iters left: 3 (3 enodes) 11.489 * * [simplify]: iters left: 2 (9 enodes) 11.492 * * [simplify]: iters left: 1 (11 enodes) 11.497 * * [simplify]: Extracting #0: cost 1 inf + 0 11.497 * * [simplify]: Extracting #1: cost 0 inf + 1 11.497 * [simplify]: Simplified to 1 11.497 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d))))) 11.498 * [simplify]: Simplifying (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))) 11.498 * * [simplify]: iters left: 6 (12 enodes) 11.503 * * [simplify]: iters left: 5 (40 enodes) 11.509 * * [simplify]: Extracting #0: cost 1 inf + 0 11.509 * * [simplify]: Extracting #1: cost 4 inf + 0 11.509 * * [simplify]: Extracting #2: cost 9 inf + 0 11.509 * * [simplify]: Extracting #3: cost 18 inf + 0 11.509 * * [simplify]: Extracting #4: cost 10 inf + 254 11.509 * * [simplify]: Extracting #5: cost 1 inf + 1638 11.509 * * [simplify]: Extracting #6: cost 0 inf + 1800 11.510 * [simplify]: Simplified to (/ (sqrt (+ (* c c) (* d d))) (+ (* d b) (* c a))) 11.510 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* d b) (* c a))))) (sqrt (+ (* c c) (* d d))))) 11.510 * * * * [progress]: [ 54 / 100 ] simplifiying candidate # 11.510 * [simplify]: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) 11.510 * * [simplify]: iters left: 6 (15 enodes) 11.514 * * [simplify]: iters left: 5 (51 enodes) 11.520 * * [simplify]: iters left: 4 (53 enodes) 11.528 * * [simplify]: Extracting #0: cost 1 inf + 0 11.528 * * [simplify]: Extracting #1: cost 6 inf + 0 11.528 * * [simplify]: Extracting #2: cost 12 inf + 0 11.528 * * [simplify]: Extracting #3: cost 17 inf + 0 11.528 * * [simplify]: Extracting #4: cost 26 inf + 0 11.528 * * [simplify]: Extracting #5: cost 21 inf + 128 11.528 * * [simplify]: Extracting #6: cost 11 inf + 1192 11.529 * * [simplify]: Extracting #7: cost 0 inf + 4308 11.530 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* d b) (* a c))) (cbrt (+ (* d b) (* a c))))) 11.530 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* d b) (* a c))) (cbrt (+ (* d b) (* a c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d))))) 11.530 * [simplify]: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))) 11.530 * * [simplify]: iters left: 6 (14 enodes) 11.536 * * [simplify]: iters left: 5 (46 enodes) 11.548 * * [simplify]: Extracting #0: cost 1 inf + 0 11.548 * * [simplify]: Extracting #1: cost 4 inf + 0 11.548 * * [simplify]: Extracting #2: cost 8 inf + 0 11.548 * * [simplify]: Extracting #3: cost 13 inf + 0 11.549 * * [simplify]: Extracting #4: cost 22 inf + 0 11.549 * * [simplify]: Extracting #5: cost 19 inf + 45 11.549 * * [simplify]: Extracting #6: cost 13 inf + 295 11.549 * * [simplify]: Extracting #7: cost 6 inf + 1274 11.550 * * [simplify]: Extracting #8: cost 1 inf + 2408 11.551 * * [simplify]: Extracting #9: cost 0 inf + 2852 11.552 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* d b) (* a c)))) 11.552 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* d b) (* a c)))))) (sqrt (+ (* c c) (* d d))))) 11.552 * * * * [progress]: [ 55 / 100 ] simplifiying candidate # 11.553 * [simplify]: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))) 11.553 * * [simplify]: iters left: 6 (14 enodes) 11.559 * * [simplify]: iters left: 5 (46 enodes) 11.571 * * [simplify]: Extracting #0: cost 1 inf + 0 11.571 * * [simplify]: Extracting #1: cost 4 inf + 0 11.571 * * [simplify]: Extracting #2: cost 8 inf + 0 11.571 * * [simplify]: Extracting #3: cost 13 inf + 0 11.571 * * [simplify]: Extracting #4: cost 22 inf + 0 11.571 * * [simplify]: Extracting #5: cost 19 inf + 45 11.572 * * [simplify]: Extracting #6: cost 13 inf + 295 11.572 * * [simplify]: Extracting #7: cost 6 inf + 1194 11.573 * * [simplify]: Extracting #8: cost 1 inf + 2288 11.574 * * [simplify]: Extracting #9: cost 0 inf + 2692 11.575 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* a c)))) 11.575 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* a c)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d))))) 11.575 * [simplify]: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))) 11.575 * * [simplify]: iters left: 6 (14 enodes) 11.582 * * [simplify]: iters left: 5 (46 enodes) 11.594 * * [simplify]: Extracting #0: cost 1 inf + 0 11.594 * * [simplify]: Extracting #1: cost 4 inf + 0 11.594 * * [simplify]: Extracting #2: cost 8 inf + 0 11.594 * * [simplify]: Extracting #3: cost 13 inf + 0 11.594 * * [simplify]: Extracting #4: cost 22 inf + 0 11.594 * * [simplify]: Extracting #5: cost 19 inf + 45 11.594 * * [simplify]: Extracting #6: cost 13 inf + 295 11.595 * * [simplify]: Extracting #7: cost 6 inf + 1194 11.596 * * [simplify]: Extracting #8: cost 1 inf + 2288 11.596 * * [simplify]: Extracting #9: cost 0 inf + 2692 11.597 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* a c)))) 11.597 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* d b) (* a c)))))) (sqrt (+ (* c c) (* d d))))) 11.598 * * * * [progress]: [ 56 / 100 ] simplifiying candidate # 11.598 * [simplify]: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1) 11.598 * * [simplify]: iters left: 6 (9 enodes) 11.602 * * [simplify]: iters left: 5 (28 enodes) 11.611 * * [simplify]: iters left: 4 (30 enodes) 11.620 * * [simplify]: Extracting #0: cost 1 inf + 0 11.620 * * [simplify]: Extracting #1: cost 4 inf + 0 11.620 * * [simplify]: Extracting #2: cost 5 inf + 1 11.620 * * [simplify]: Extracting #3: cost 8 inf + 1 11.621 * * [simplify]: Extracting #4: cost 12 inf + 1 11.621 * * [simplify]: Extracting #5: cost 8 inf + 85 11.621 * * [simplify]: Extracting #6: cost 6 inf + 167 11.621 * * [simplify]: Extracting #7: cost 4 inf + 451 11.621 * * [simplify]: Extracting #8: cost 1 inf + 937 11.621 * * [simplify]: Extracting #9: cost 0 inf + 1139 11.621 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) 11.621 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d))))) 11.622 * [simplify]: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))) 11.622 * * [simplify]: iters left: 6 (13 enodes) 11.625 * * [simplify]: iters left: 5 (43 enodes) 11.630 * * [simplify]: Extracting #0: cost 1 inf + 0 11.630 * * [simplify]: Extracting #1: cost 4 inf + 0 11.630 * * [simplify]: Extracting #2: cost 9 inf + 0 11.631 * * [simplify]: Extracting #3: cost 17 inf + 0 11.631 * * [simplify]: Extracting #4: cost 16 inf + 4 11.631 * * [simplify]: Extracting #5: cost 13 inf + 294 11.631 * * [simplify]: Extracting #6: cost 5 inf + 990 11.631 * * [simplify]: Extracting #7: cost 2 inf + 1718 11.632 * * [simplify]: Extracting #8: cost 0 inf + 2284 11.632 * [simplify]: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* d b) (* a c))) 11.632 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* d b) (* a c))))) (sqrt (+ (* c c) (* d d))))) 11.632 * * * * [progress]: [ 57 / 100 ] simplifiying candidate # 11.632 * [simplify]: Simplifying (/ 1 (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) 11.632 * * [simplify]: iters left: 6 (11 enodes) 11.635 * * [simplify]: iters left: 5 (40 enodes) 11.641 * * [simplify]: iters left: 4 (44 enodes) 11.648 * * [simplify]: Extracting #0: cost 1 inf + 0 11.648 * * [simplify]: Extracting #1: cost 6 inf + 0 11.648 * * [simplify]: Extracting #2: cost 9 inf + 1 11.648 * * [simplify]: Extracting #3: cost 12 inf + 1 11.648 * * [simplify]: Extracting #4: cost 18 inf + 1 11.648 * * [simplify]: Extracting #5: cost 13 inf + 47 11.648 * * [simplify]: Extracting #6: cost 9 inf + 297 11.648 * * [simplify]: Extracting #7: cost 4 inf + 1318 11.649 * * [simplify]: Extracting #8: cost 1 inf + 2092 11.649 * * [simplify]: Extracting #9: cost 0 inf + 2377 11.649 * [simplify]: Simplified to (/ 1 (* (cbrt (+ (* c a) (* b d))) (cbrt (+ (* c a) (* b d))))) 11.649 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ 1 (* (cbrt (+ (* c a) (* b d))) (cbrt (+ (* c a) (* b d))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d))))) 11.650 * [simplify]: Simplifying (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d)))) 11.650 * * [simplify]: iters left: 6 (13 enodes) 11.653 * * [simplify]: iters left: 5 (43 enodes) 11.663 * * [simplify]: Extracting #0: cost 1 inf + 0 11.663 * * [simplify]: Extracting #1: cost 4 inf + 0 11.663 * * [simplify]: Extracting #2: cost 8 inf + 0 11.663 * * [simplify]: Extracting #3: cost 14 inf + 0 11.663 * * [simplify]: Extracting #4: cost 22 inf + 0 11.663 * * [simplify]: Extracting #5: cost 16 inf + 87 11.663 * * [simplify]: Extracting #6: cost 12 inf + 253 11.664 * * [simplify]: Extracting #7: cost 5 inf + 1070 11.664 * * [simplify]: Extracting #8: cost 1 inf + 1964 11.665 * * [simplify]: Extracting #9: cost 0 inf + 2368 11.666 * [simplify]: Simplified to (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* d b) (* c a)))) 11.666 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ 1 (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* d b) (* c a)))))) (sqrt (+ (* c c) (* d d))))) 11.666 * * * * [progress]: [ 58 / 100 ] simplifiying candidate # 11.667 * [simplify]: Simplifying (/ 1 (sqrt (+ (* a c) (* b d)))) 11.667 * * [simplify]: iters left: 6 (10 enodes) 11.671 * * [simplify]: iters left: 5 (35 enodes) 11.681 * * [simplify]: iters left: 4 (37 enodes) 11.686 * * [simplify]: Extracting #0: cost 1 inf + 0 11.686 * * [simplify]: Extracting #1: cost 4 inf + 0 11.686 * * [simplify]: Extracting #2: cost 5 inf + 1 11.686 * * [simplify]: Extracting #3: cost 8 inf + 1 11.686 * * [simplify]: Extracting #4: cost 14 inf + 1 11.686 * * [simplify]: Extracting #5: cost 9 inf + 47 11.686 * * [simplify]: Extracting #6: cost 4 inf + 421 11.686 * * [simplify]: Extracting #7: cost 0 inf + 1159 11.687 * [simplify]: Simplified to (/ 1 (sqrt (+ (* c a) (* b d)))) 11.687 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ 1 (sqrt (+ (* c a) (* b d)))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d))))) 11.687 * [simplify]: Simplifying (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d)))) 11.687 * * [simplify]: iters left: 6 (13 enodes) 11.690 * * [simplify]: iters left: 5 (43 enodes) 11.695 * * [simplify]: Extracting #0: cost 1 inf + 0 11.695 * * [simplify]: Extracting #1: cost 4 inf + 0 11.695 * * [simplify]: Extracting #2: cost 8 inf + 0 11.695 * * [simplify]: Extracting #3: cost 14 inf + 0 11.695 * * [simplify]: Extracting #4: cost 22 inf + 0 11.695 * * [simplify]: Extracting #5: cost 16 inf + 87 11.696 * * [simplify]: Extracting #6: cost 12 inf + 253 11.696 * * [simplify]: Extracting #7: cost 5 inf + 1030 11.696 * * [simplify]: Extracting #8: cost 1 inf + 1844 11.696 * * [simplify]: Extracting #9: cost 0 inf + 2208 11.697 * [simplify]: Simplified to (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* d b) (* c a)))) 11.697 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ 1 (sqrt (+ (* a c) (* b d)))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* d b) (* c a)))))) (sqrt (+ (* c c) (* d d))))) 11.697 * * * * [progress]: [ 59 / 100 ] simplifiying candidate # 11.697 * [simplify]: Simplifying (/ 1 1) 11.697 * * [simplify]: iters left: 2 (2 enodes) 11.698 * * [simplify]: iters left: 1 (6 enodes) 11.699 * * [simplify]: Extracting #0: cost 1 inf + 0 11.699 * * [simplify]: Extracting #1: cost 0 inf + 1 11.699 * [simplify]: Simplified to 1 11.699 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d))))) 11.700 * [simplify]: Simplifying (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))) 11.700 * * [simplify]: iters left: 6 (12 enodes) 11.702 * * [simplify]: iters left: 5 (40 enodes) 11.707 * * [simplify]: Extracting #0: cost 1 inf + 0 11.707 * * [simplify]: Extracting #1: cost 4 inf + 0 11.707 * * [simplify]: Extracting #2: cost 9 inf + 0 11.707 * * [simplify]: Extracting #3: cost 18 inf + 0 11.707 * * [simplify]: Extracting #4: cost 10 inf + 254 11.708 * * [simplify]: Extracting #5: cost 1 inf + 1638 11.708 * * [simplify]: Extracting #6: cost 0 inf + 1800 11.710 * [simplify]: Simplified to (/ (sqrt (+ (* c c) (* d d))) (+ (* d b) (* c a))) 11.710 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* d b) (* c a))))) (sqrt (+ (* c c) (* d d))))) 11.710 * * * * [progress]: [ 60 / 100 ] simplifiying candidate # 11.710 * * * * [progress]: [ 61 / 100 ] simplifiying candidate # 11.710 * * * * [progress]: [ 62 / 100 ] simplifiying candidate # 11.710 * * * * [progress]: [ 63 / 100 ] simplifiying candidate # 11.710 * [simplify]: Simplifying (cbrt (+ (* a c) (* b d))) 11.710 * * [simplify]: iters left: 5 (8 enodes) 11.712 * * [simplify]: iters left: 4 (27 enodes) 11.715 * * [simplify]: Extracting #0: cost 1 inf + 0 11.715 * * [simplify]: Extracting #1: cost 3 inf + 0 11.715 * * [simplify]: Extracting #2: cost 6 inf + 0 11.715 * * [simplify]: Extracting #3: cost 12 inf + 0 11.716 * * [simplify]: Extracting #4: cost 8 inf + 4 11.716 * * [simplify]: Extracting #5: cost 1 inf + 624 11.716 * * [simplify]: Extracting #6: cost 0 inf + 828 11.716 * [simplify]: Simplified to (cbrt (+ (* b d) (* a c))) 11.716 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (/ (/ (sqrt (+ (* c c) (* d d))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) (cbrt (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d))))) 11.716 * * * * [progress]: [ 64 / 100 ] simplifiying candidate # 11.716 * [simplify]: Simplifying (sqrt (+ (* a c) (* b d))) 11.716 * * [simplify]: iters left: 5 (8 enodes) 11.718 * * [simplify]: iters left: 4 (27 enodes) 11.722 * * [simplify]: Extracting #0: cost 1 inf + 0 11.722 * * [simplify]: Extracting #1: cost 3 inf + 0 11.722 * * [simplify]: Extracting #2: cost 6 inf + 0 11.722 * * [simplify]: Extracting #3: cost 12 inf + 0 11.722 * * [simplify]: Extracting #4: cost 8 inf + 4 11.722 * * [simplify]: Extracting #5: cost 1 inf + 584 11.722 * * [simplify]: Extracting #6: cost 0 inf + 748 11.722 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c))) 11.723 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (/ (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d)))) (sqrt (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d))))) 11.723 * * * * [progress]: [ 65 / 100 ] simplifiying candidate # 11.723 * [simplify]: Simplifying (+ (* a c) (* b d)) 11.723 * * [simplify]: iters left: 4 (7 enodes) 11.724 * * [simplify]: iters left: 3 (24 enodes) 11.728 * * [simplify]: Extracting #0: cost 1 inf + 0 11.728 * * [simplify]: Extracting #1: cost 4 inf + 0 11.728 * * [simplify]: Extracting #2: cost 10 inf + 0 11.728 * * [simplify]: Extracting #3: cost 6 inf + 4 11.728 * * [simplify]: Extracting #4: cost 1 inf + 296 11.728 * * [simplify]: Extracting #5: cost 0 inf + 420 11.728 * [simplify]: Simplified to (+ (* b d) (* a c)) 11.728 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (/ (/ (sqrt (+ (* c c) (* d d))) 1) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d))))) 11.728 * * * * [progress]: [ 66 / 100 ] simplifiying candidate # 11.729 * [simplify]: Simplifying (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) 11.729 * * [simplify]: iters left: 6 (8 enodes) 11.731 * * [simplify]: iters left: 5 (25 enodes) 11.737 * * [simplify]: Extracting #0: cost 1 inf + 0 11.737 * * [simplify]: Extracting #1: cost 3 inf + 0 11.737 * * [simplify]: Extracting #2: cost 5 inf + 0 11.737 * * [simplify]: Extracting #3: cost 7 inf + 0 11.737 * * [simplify]: Extracting #4: cost 10 inf + 0 11.737 * * [simplify]: Extracting #5: cost 14 inf + 0 11.738 * * [simplify]: Extracting #6: cost 11 inf + 43 11.738 * * [simplify]: Extracting #7: cost 9 inf + 125 11.738 * * [simplify]: Extracting #8: cost 5 inf + 572 11.738 * * [simplify]: Extracting #9: cost 1 inf + 1500 11.739 * * [simplify]: Extracting #10: cost 0 inf + 1782 11.739 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) 11.740 * [simplify]: Simplified (2 1 2 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))))) 11.740 * * * * [progress]: [ 67 / 100 ] simplifiying candidate # 11.740 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 11.740 * * [simplify]: iters left: 6 (8 enodes) 11.744 * * [simplify]: iters left: 5 (26 enodes) 11.751 * * [simplify]: Extracting #0: cost 1 inf + 0 11.751 * * [simplify]: Extracting #1: cost 4 inf + 0 11.751 * * [simplify]: Extracting #2: cost 7 inf + 0 11.751 * * [simplify]: Extracting #3: cost 10 inf + 0 11.751 * * [simplify]: Extracting #4: cost 14 inf + 0 11.751 * * [simplify]: Extracting #5: cost 10 inf + 84 11.751 * * [simplify]: Extracting #6: cost 8 inf + 166 11.751 * * [simplify]: Extracting #7: cost 4 inf + 854 11.752 * * [simplify]: Extracting #8: cost 1 inf + 1540 11.752 * * [simplify]: Extracting #9: cost 0 inf + 1782 11.753 * [simplify]: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) 11.753 * [simplify]: Simplified (2 1 2 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))))) 11.753 * * * * [progress]: [ 68 / 100 ] simplifiying candidate # 11.754 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) 11.754 * * [simplify]: iters left: 6 (7 enodes) 11.757 * * [simplify]: iters left: 5 (22 enodes) 11.760 * * [simplify]: Extracting #0: cost 1 inf + 0 11.760 * * [simplify]: Extracting #1: cost 3 inf + 0 11.760 * * [simplify]: Extracting #2: cost 5 inf + 0 11.760 * * [simplify]: Extracting #3: cost 8 inf + 0 11.760 * * [simplify]: Extracting #4: cost 12 inf + 0 11.761 * * [simplify]: Extracting #5: cost 10 inf + 2 11.761 * * [simplify]: Extracting #6: cost 1 inf + 936 11.761 * * [simplify]: Extracting #7: cost 0 inf + 1138 11.761 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) 11.761 * [simplify]: Simplified (2 1 2 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))))) 11.761 * * * * [progress]: [ 69 / 100 ] simplifiying candidate # 11.761 * [simplify]: Simplifying (sqrt 1) 11.762 * * [simplify]: iters left: 1 (2 enodes) 11.764 * * [simplify]: Extracting #0: cost 1 inf + 0 11.764 * * [simplify]: Extracting #1: cost 0 inf + 1 11.764 * [simplify]: Simplified to 1 11.764 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ 1 (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 11.764 * * * * [progress]: [ 70 / 100 ] simplifiying candidate # 11.764 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) 11.764 * * [simplify]: iters left: 6 (7 enodes) 11.765 * * [simplify]: iters left: 5 (22 enodes) 11.768 * * [simplify]: Extracting #0: cost 1 inf + 0 11.768 * * [simplify]: Extracting #1: cost 3 inf + 0 11.768 * * [simplify]: Extracting #2: cost 5 inf + 0 11.768 * * [simplify]: Extracting #3: cost 8 inf + 0 11.769 * * [simplify]: Extracting #4: cost 12 inf + 0 11.769 * * [simplify]: Extracting #5: cost 10 inf + 2 11.769 * * [simplify]: Extracting #6: cost 1 inf + 936 11.769 * * [simplify]: Extracting #7: cost 0 inf + 1138 11.769 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) 11.769 * [simplify]: Simplified (2 1 2 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))))) 11.769 * * * * [progress]: [ 71 / 100 ] simplifiying candidate # 11.769 * * * * [progress]: [ 72 / 100 ] simplifiying candidate # 11.770 * [simplify]: Simplifying (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d)))) 11.770 * * [simplify]: iters left: 6 (11 enodes) 11.773 * * [simplify]: iters left: 5 (61 enodes) 11.785 * * [simplify]: iters left: 4 (157 enodes) 11.840 * * [simplify]: iters left: 3 (330 enodes) 11.927 * * [simplify]: Extracting #0: cost 1 inf + 0 11.927 * * [simplify]: Extracting #1: cost 12 inf + 0 11.928 * * [simplify]: Extracting #2: cost 81 inf + 0 11.928 * * [simplify]: Extracting #3: cost 114 inf + 497 11.930 * * [simplify]: Extracting #4: cost 46 inf + 6407 11.933 * * [simplify]: Extracting #5: cost 7 inf + 12132 11.937 * * [simplify]: Extracting #6: cost 0 inf + 12838 11.941 * * [simplify]: Extracting #7: cost 0 inf + 12798 11.944 * [simplify]: Simplified to (- (* (* b d) (* b d)) (* (- (* b d) (* a c)) (* a c))) 11.944 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (+ (* c c) (* d d))) (+ (pow (* a c) 3) (pow (* b d) 3))) (- (* (* b d) (* b d)) (* (- (* b d) (* a c)) (* a c))))) (sqrt (+ (* c c) (* d d))))) 11.945 * * * * [progress]: [ 73 / 100 ] simplifiying candidate # 11.945 * [simplify]: Simplifying (- (* a c) (* b d)) 11.945 * * [simplify]: iters left: 4 (7 enodes) 11.946 * * [simplify]: iters left: 3 (25 enodes) 11.950 * * [simplify]: iters left: 2 (34 enodes) 11.955 * * [simplify]: iters left: 1 (38 enodes) 11.961 * * [simplify]: Extracting #0: cost 1 inf + 0 11.961 * * [simplify]: Extracting #1: cost 5 inf + 0 11.961 * * [simplify]: Extracting #2: cost 14 inf + 0 11.961 * * [simplify]: Extracting #3: cost 9 inf + 169 11.961 * * [simplify]: Extracting #4: cost 2 inf + 583 11.962 * * [simplify]: Extracting #5: cost 0 inf + 748 11.962 * [simplify]: Simplified to (- (* a c) (* b d)) 11.962 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (+ (* c c) (* d d))) (- (* (* a c) (* a c)) (* (* b d) (* b d)))) (- (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))) 11.962 * * * * [progress]: [ 74 / 100 ] simplifiying candidate # 11.962 * [simplify]: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) 11.962 * * [simplify]: iters left: 6 (9 enodes) 11.965 * * [simplify]: iters left: 5 (45 enodes) 11.976 * * [simplify]: iters left: 4 (100 enodes) 12.002 * * [simplify]: iters left: 3 (201 enodes) 12.071 * * [simplify]: iters left: 2 (406 enodes) 12.207 * * [simplify]: Extracting #0: cost 1 inf + 0 12.207 * * [simplify]: Extracting #1: cost 3 inf + 0 12.207 * * [simplify]: Extracting #2: cost 6 inf + 0 12.207 * * [simplify]: Extracting #3: cost 62 inf + 0 12.209 * * [simplify]: Extracting #4: cost 166 inf + 460 12.212 * * [simplify]: Extracting #5: cost 131 inf + 12951 12.216 * * [simplify]: Extracting #6: cost 49 inf + 45746 12.222 * * [simplify]: Extracting #7: cost 1 inf + 66256 12.227 * * [simplify]: Extracting #8: cost 0 inf + 65919 12.236 * [simplify]: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) 12.236 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) (* (+ (* a c) (* b d)) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) 12.237 * * * * [progress]: [ 75 / 100 ] simplifiying candidate # 12.237 * [simplify]: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) 12.237 * * [simplify]: iters left: 6 (8 enodes) 12.239 * * [simplify]: iters left: 5 (37 enodes) 12.246 * * [simplify]: iters left: 4 (67 enodes) 12.264 * * [simplify]: iters left: 3 (123 enodes) 12.290 * * [simplify]: iters left: 2 (278 enodes) 12.419 * * [simplify]: Extracting #0: cost 1 inf + 0 12.419 * * [simplify]: Extracting #1: cost 3 inf + 0 12.419 * * [simplify]: Extracting #2: cost 50 inf + 0 12.420 * * [simplify]: Extracting #3: cost 150 inf + 0 12.422 * * [simplify]: Extracting #4: cost 194 inf + 1180 12.427 * * [simplify]: Extracting #5: cost 123 inf + 12421 12.439 * * [simplify]: Extracting #6: cost 12 inf + 33804 12.452 * * [simplify]: Extracting #7: cost 0 inf + 36129 12.460 * [simplify]: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) 12.460 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (* (+ (* a c) (* b d)) (sqrt (- (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) 12.460 * * * * [progress]: [ 76 / 100 ] simplifiying candidate #real (real->posit16 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))> 12.460 * * * * [progress]: [ 77 / 100 ] simplifiying candidate # 12.461 * [simplify]: Simplifying (* (exp (* a c)) (exp (* b d))) 12.461 * * [simplify]: iters left: 5 (9 enodes) 12.463 * * [simplify]: iters left: 4 (36 enodes) 12.468 * * [simplify]: iters left: 3 (55 enodes) 12.476 * * [simplify]: iters left: 2 (91 enodes) 12.504 * * [simplify]: iters left: 1 (191 enodes) 12.584 * * [simplify]: Extracting #0: cost 1 inf + 0 12.584 * * [simplify]: Extracting #1: cost 38 inf + 0 12.584 * * [simplify]: Extracting #2: cost 150 inf + 0 12.585 * * [simplify]: Extracting #3: cost 173 inf + 772 12.588 * * [simplify]: Extracting #4: cost 148 inf + 4628 12.590 * * [simplify]: Extracting #5: cost 93 inf + 18511 12.596 * * [simplify]: Extracting #6: cost 27 inf + 61555 12.604 * * [simplify]: Extracting #7: cost 0 inf + 82217 12.620 * [simplify]: Simplified to (exp (+ (* a c) (* b d))) 12.620 * [simplify]: Simplified (2 1 2 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (log (exp (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d))))) 12.620 * * * * [progress]: [ 78 / 100 ] simplifiying candidate # 12.620 * * * * [progress]: [ 79 / 100 ] simplifiying candidate # 12.620 * * * * [progress]: [ 80 / 100 ] simplifiying candidate # 12.621 * * * * [progress]: [ 81 / 100 ] simplifiying candidate # 12.621 * * * * [progress]: [ 82 / 100 ] simplifiying candidate # 12.621 * * * * [progress]: [ 83 / 100 ] simplifiying candidate # 12.621 * * * * [progress]: [ 84 / 100 ] simplifiying candidate # 12.621 * * * * [progress]: [ 85 / 100 ] simplifiying candidate # 12.621 * * * * [progress]: [ 86 / 100 ] simplifiying candidate # 12.621 * * * * [progress]: [ 87 / 100 ] simplifiying candidate #real (real->posit16 (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d)))))> 12.621 * * * * [progress]: [ 88 / 100 ] simplifiying candidate # 12.621 * * * * [progress]: [ 89 / 100 ] simplifiying candidate # 12.621 * [simplify]: Simplifying d 12.622 * * [simplify]: iters left: 0 (1 enodes) 12.622 * * [simplify]: Extracting #0: cost 1 inf + 0 12.622 * * [simplify]: Extracting #1: cost 0 inf + 1 12.622 * [simplify]: Simplified to d 12.622 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) d)) 12.622 * * * * [progress]: [ 90 / 100 ] simplifiying candidate # 12.623 * [simplify]: Simplifying c 12.623 * * [simplify]: iters left: 0 (1 enodes) 12.623 * * [simplify]: Extracting #0: cost 1 inf + 0 12.623 * * [simplify]: Extracting #1: cost 0 inf + 1 12.623 * [simplify]: Simplified to c 12.623 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) c)) 12.623 * * * * [progress]: [ 91 / 100 ] simplifiying candidate # 12.624 * [simplify]: Simplifying (* -1 c) 12.624 * * [simplify]: iters left: 2 (3 enodes) 12.626 * * [simplify]: iters left: 1 (11 enodes) 12.629 * * [simplify]: Extracting #0: cost 1 inf + 0 12.629 * * [simplify]: Extracting #1: cost 4 inf + 0 12.629 * * [simplify]: Extracting #2: cost 0 inf + 84 12.629 * [simplify]: Simplified to (- c) 12.629 * [simplify]: Simplified (2 2) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))) (- c))) 12.629 * * * * [progress]: [ 92 / 100 ] simplifiying candidate # 12.630 * [simplify]: Simplifying d 12.630 * * [simplify]: iters left: 0 (1 enodes) 12.630 * * [simplify]: Extracting #0: cost 1 inf + 0 12.630 * * [simplify]: Extracting #1: cost 0 inf + 1 12.630 * [simplify]: Simplified to d 12.630 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ d (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))) 12.630 * * * * [progress]: [ 93 / 100 ] simplifiying candidate # 12.631 * [simplify]: Simplifying c 12.631 * * [simplify]: iters left: 0 (1 enodes) 12.631 * * [simplify]: Extracting #0: cost 1 inf + 0 12.631 * * [simplify]: Extracting #1: cost 0 inf + 1 12.631 * [simplify]: Simplified to c 12.631 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ c (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))) 12.631 * * * * [progress]: [ 94 / 100 ] simplifiying candidate # 12.631 * [simplify]: Simplifying (* -1 c) 12.631 * * [simplify]: iters left: 2 (3 enodes) 12.632 * * [simplify]: iters left: 1 (11 enodes) 12.634 * * [simplify]: Extracting #0: cost 1 inf + 0 12.634 * * [simplify]: Extracting #1: cost 4 inf + 0 12.634 * * [simplify]: Extracting #2: cost 0 inf + 84 12.634 * [simplify]: Simplified to (- c) 12.634 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ (- c) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))) 12.634 * * * * [progress]: [ 95 / 100 ] simplifiying candidate # 12.634 * [simplify]: Simplifying 0 12.634 * * [simplify]: iters left: 0 (1 enodes) 12.635 * * [simplify]: Extracting #0: cost 1 inf + 0 12.635 * * [simplify]: Extracting #1: cost 0 inf + 1 12.635 * [simplify]: Simplified to 0 12.635 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ 1 0) (sqrt (+ (* c c) (* d d))))) 12.635 * * * * [progress]: [ 96 / 100 ] simplifiying candidate # 12.635 * [simplify]: Simplifying 0 12.635 * * [simplify]: iters left: 0 (1 enodes) 12.636 * * [simplify]: Extracting #0: cost 1 inf + 0 12.636 * * [simplify]: Extracting #1: cost 0 inf + 1 12.636 * [simplify]: Simplified to 0 12.636 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ 1 0) (sqrt (+ (* c c) (* d d))))) 12.636 * * * * [progress]: [ 97 / 100 ] simplifiying candidate # 12.636 * [simplify]: Simplifying 0 12.636 * * [simplify]: iters left: 0 (1 enodes) 12.636 * * [simplify]: Extracting #0: cost 1 inf + 0 12.636 * * [simplify]: Extracting #1: cost 0 inf + 1 12.636 * [simplify]: Simplified to 0 12.636 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (/ (/ 1 0) (sqrt (+ (* c c) (* d d))))) 12.637 * * * * [progress]: [ 98 / 100 ] simplifiying candidate # 12.637 * [simplify]: Simplifying 0 12.637 * * [simplify]: iters left: 0 (1 enodes) 12.637 * * [simplify]: Extracting #0: cost 1 inf + 0 12.637 * * [simplify]: Extracting #1: cost 0 inf + 1 12.637 * [simplify]: Simplified to 0 12.637 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) 0)) (sqrt (+ (* c c) (* d d))))) 12.637 * * * * [progress]: [ 99 / 100 ] simplifiying candidate # 12.638 * [simplify]: Simplifying (+ (* a c) (* b d)) 12.638 * * [simplify]: iters left: 4 (7 enodes) 12.639 * * [simplify]: iters left: 3 (24 enodes) 12.642 * * [simplify]: Extracting #0: cost 1 inf + 0 12.642 * * [simplify]: Extracting #1: cost 4 inf + 0 12.642 * * [simplify]: Extracting #2: cost 10 inf + 0 12.642 * * [simplify]: Extracting #3: cost 6 inf + 4 12.642 * * [simplify]: Extracting #4: cost 1 inf + 296 12.642 * * [simplify]: Extracting #5: cost 0 inf + 420 12.643 * [simplify]: Simplified to (+ (* b d) (* a c)) 12.643 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d))))) 12.643 * * * * [progress]: [ 100 / 100 ] simplifiying candidate # 12.643 * [simplify]: Simplifying (+ (* a c) (* b d)) 12.643 * * [simplify]: iters left: 4 (7 enodes) 12.644 * * [simplify]: iters left: 3 (24 enodes) 12.648 * * [simplify]: Extracting #0: cost 1 inf + 0 12.648 * * [simplify]: Extracting #1: cost 4 inf + 0 12.648 * * [simplify]: Extracting #2: cost 10 inf + 0 12.648 * * [simplify]: Extracting #3: cost 6 inf + 4 12.648 * * [simplify]: Extracting #4: cost 1 inf + 296 12.648 * * [simplify]: Extracting #5: cost 0 inf + 420 12.648 * [simplify]: Simplified to (+ (* b d) (* a c)) 12.648 * [simplify]: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d))))) 12.648 * * * [progress]: adding candidates to table 14.011 * * [progress]: iteration 4 / 4 14.011 * * * [progress]: picking best candidate 14.046 * * * * [pick]: Picked # 14.046 * * * [progress]: localizing error 14.102 * * * [progress]: generating rewritten candidates 14.102 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 14.120 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 14.126 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 14.162 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 14.179 * * * [progress]: generating series expansions 14.179 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 14.179 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2))) 14.179 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0 14.179 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d 14.179 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 14.179 * [taylor]: Taking taylor expansion of (pow c 2) in d 14.179 * [taylor]: Taking taylor expansion of c in d 14.179 * [backup-simplify]: Simplify c into c 14.179 * [taylor]: Taking taylor expansion of (pow d 2) in d 14.179 * [taylor]: Taking taylor expansion of d in d 14.179 * [backup-simplify]: Simplify 0 into 0 14.179 * [backup-simplify]: Simplify 1 into 1 14.179 * [backup-simplify]: Simplify (* c c) into (pow c 2) 14.180 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 14.180 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c 14.180 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 14.181 * [backup-simplify]: Simplify (+ 0 0) into 0 14.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 14.181 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 14.181 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 14.181 * [taylor]: Taking taylor expansion of (pow c 2) in c 14.181 * [taylor]: Taking taylor expansion of c in c 14.181 * [backup-simplify]: Simplify 0 into 0 14.181 * [backup-simplify]: Simplify 1 into 1 14.181 * [taylor]: Taking taylor expansion of (pow d 2) in c 14.181 * [taylor]: Taking taylor expansion of d in c 14.181 * [backup-simplify]: Simplify d into d 14.181 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.181 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 14.181 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 14.182 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 14.182 * [backup-simplify]: Simplify (+ 0 0) into 0 14.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 14.182 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 14.182 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 14.182 * [taylor]: Taking taylor expansion of (pow c 2) in c 14.182 * [taylor]: Taking taylor expansion of c in c 14.182 * [backup-simplify]: Simplify 0 into 0 14.182 * [backup-simplify]: Simplify 1 into 1 14.182 * [taylor]: Taking taylor expansion of (pow d 2) in c 14.182 * [taylor]: Taking taylor expansion of d in c 14.182 * [backup-simplify]: Simplify d into d 14.182 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.182 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 14.183 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 14.183 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 14.183 * [backup-simplify]: Simplify (+ 0 0) into 0 14.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 14.183 * [taylor]: Taking taylor expansion of d in d 14.183 * [backup-simplify]: Simplify 0 into 0 14.183 * [backup-simplify]: Simplify 1 into 1 14.183 * [backup-simplify]: Simplify 0 into 0 14.183 * [taylor]: Taking taylor expansion of 0 in d 14.183 * [backup-simplify]: Simplify 0 into 0 14.183 * [backup-simplify]: Simplify 0 into 0 14.183 * [backup-simplify]: Simplify 1 into 1 14.184 * [backup-simplify]: Simplify (* 1 1) into 1 14.184 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 14.184 * [backup-simplify]: Simplify (+ 1 0) into 1 14.185 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) 14.185 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d 14.185 * [taylor]: Taking taylor expansion of 1/2 in d 14.185 * [backup-simplify]: Simplify 1/2 into 1/2 14.185 * [taylor]: Taking taylor expansion of d in d 14.185 * [backup-simplify]: Simplify 0 into 0 14.185 * [backup-simplify]: Simplify 1 into 1 14.185 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.186 * [backup-simplify]: Simplify 0 into 0 14.186 * [backup-simplify]: Simplify 0 into 0 14.186 * [backup-simplify]: Simplify 0 into 0 14.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.187 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 14.187 * [backup-simplify]: Simplify (+ 0 0) into 0 14.187 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 14.187 * [taylor]: Taking taylor expansion of 0 in d 14.187 * [backup-simplify]: Simplify 0 into 0 14.187 * [backup-simplify]: Simplify 0 into 0 14.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.188 * [backup-simplify]: Simplify 0 into 0 14.188 * [backup-simplify]: Simplify 0 into 0 14.188 * [backup-simplify]: Simplify (* 1 (* d 1)) into d 14.188 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 14.188 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 14.188 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 14.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 14.188 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 14.188 * [taylor]: Taking taylor expansion of (pow c 2) in d 14.188 * [taylor]: Taking taylor expansion of c in d 14.189 * [backup-simplify]: Simplify c into c 14.189 * [backup-simplify]: Simplify (* c c) into (pow c 2) 14.189 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 14.189 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 14.189 * [taylor]: Taking taylor expansion of (pow d 2) in d 14.189 * [taylor]: Taking taylor expansion of d in d 14.189 * [backup-simplify]: Simplify 0 into 0 14.189 * [backup-simplify]: Simplify 1 into 1 14.189 * [backup-simplify]: Simplify (* 1 1) into 1 14.189 * [backup-simplify]: Simplify (/ 1 1) into 1 14.189 * [backup-simplify]: Simplify (+ 0 1) into 1 14.190 * [backup-simplify]: Simplify (sqrt 1) into 1 14.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.191 * [backup-simplify]: Simplify (+ 0 0) into 0 14.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.191 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 14.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 14.191 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 14.191 * [taylor]: Taking taylor expansion of (pow c 2) in c 14.191 * [taylor]: Taking taylor expansion of c in c 14.191 * [backup-simplify]: Simplify 0 into 0 14.191 * [backup-simplify]: Simplify 1 into 1 14.192 * [backup-simplify]: Simplify (* 1 1) into 1 14.192 * [backup-simplify]: Simplify (/ 1 1) into 1 14.192 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 14.192 * [taylor]: Taking taylor expansion of (pow d 2) in c 14.192 * [taylor]: Taking taylor expansion of d in c 14.192 * [backup-simplify]: Simplify d into d 14.192 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.192 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 14.192 * [backup-simplify]: Simplify (+ 1 0) into 1 14.193 * [backup-simplify]: Simplify (sqrt 1) into 1 14.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.194 * [backup-simplify]: Simplify (+ 0 0) into 0 14.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.194 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 14.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 14.194 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 14.194 * [taylor]: Taking taylor expansion of (pow c 2) in c 14.194 * [taylor]: Taking taylor expansion of c in c 14.194 * [backup-simplify]: Simplify 0 into 0 14.194 * [backup-simplify]: Simplify 1 into 1 14.194 * [backup-simplify]: Simplify (* 1 1) into 1 14.195 * [backup-simplify]: Simplify (/ 1 1) into 1 14.195 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 14.195 * [taylor]: Taking taylor expansion of (pow d 2) in c 14.195 * [taylor]: Taking taylor expansion of d in c 14.195 * [backup-simplify]: Simplify d into d 14.195 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.195 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 14.195 * [backup-simplify]: Simplify (+ 1 0) into 1 14.195 * [backup-simplify]: Simplify (sqrt 1) into 1 14.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.196 * [backup-simplify]: Simplify (+ 0 0) into 0 14.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.197 * [taylor]: Taking taylor expansion of 1 in d 14.197 * [backup-simplify]: Simplify 1 into 1 14.197 * [taylor]: Taking taylor expansion of 0 in d 14.197 * [backup-simplify]: Simplify 0 into 0 14.197 * [backup-simplify]: Simplify 1 into 1 14.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.198 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 14.199 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 14.199 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 14.199 * [taylor]: Taking taylor expansion of 1/2 in d 14.199 * [backup-simplify]: Simplify 1/2 into 1/2 14.199 * [taylor]: Taking taylor expansion of (pow d 2) in d 14.199 * [taylor]: Taking taylor expansion of d in d 14.199 * [backup-simplify]: Simplify 0 into 0 14.199 * [backup-simplify]: Simplify 1 into 1 14.199 * [backup-simplify]: Simplify (* 1 1) into 1 14.200 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.201 * [backup-simplify]: Simplify 0 into 0 14.201 * [backup-simplify]: Simplify 0 into 0 14.201 * [backup-simplify]: Simplify 0 into 0 14.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.202 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 14.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 14.202 * [backup-simplify]: Simplify (+ 0 0) into 0 14.203 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 14.203 * [taylor]: Taking taylor expansion of 0 in d 14.203 * [backup-simplify]: Simplify 0 into 0 14.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.204 * [backup-simplify]: Simplify 0 into 0 14.204 * [backup-simplify]: Simplify 0 into 0 14.204 * [backup-simplify]: Simplify 0 into 0 14.204 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c 14.207 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 14.207 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 14.207 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 14.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 14.207 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 14.207 * [taylor]: Taking taylor expansion of (pow c 2) in d 14.207 * [taylor]: Taking taylor expansion of c in d 14.207 * [backup-simplify]: Simplify c into c 14.207 * [backup-simplify]: Simplify (* c c) into (pow c 2) 14.207 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 14.207 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 14.207 * [taylor]: Taking taylor expansion of (pow d 2) in d 14.207 * [taylor]: Taking taylor expansion of d in d 14.207 * [backup-simplify]: Simplify 0 into 0 14.207 * [backup-simplify]: Simplify 1 into 1 14.208 * [backup-simplify]: Simplify (* 1 1) into 1 14.208 * [backup-simplify]: Simplify (/ 1 1) into 1 14.208 * [backup-simplify]: Simplify (+ 0 1) into 1 14.208 * [backup-simplify]: Simplify (sqrt 1) into 1 14.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.209 * [backup-simplify]: Simplify (+ 0 0) into 0 14.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.210 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 14.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 14.210 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 14.210 * [taylor]: Taking taylor expansion of (pow c 2) in c 14.210 * [taylor]: Taking taylor expansion of c in c 14.210 * [backup-simplify]: Simplify 0 into 0 14.210 * [backup-simplify]: Simplify 1 into 1 14.210 * [backup-simplify]: Simplify (* 1 1) into 1 14.211 * [backup-simplify]: Simplify (/ 1 1) into 1 14.211 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 14.211 * [taylor]: Taking taylor expansion of (pow d 2) in c 14.211 * [taylor]: Taking taylor expansion of d in c 14.211 * [backup-simplify]: Simplify d into d 14.211 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.211 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 14.211 * [backup-simplify]: Simplify (+ 1 0) into 1 14.212 * [backup-simplify]: Simplify (sqrt 1) into 1 14.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.213 * [backup-simplify]: Simplify (+ 0 0) into 0 14.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.214 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 14.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 14.214 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 14.214 * [taylor]: Taking taylor expansion of (pow c 2) in c 14.214 * [taylor]: Taking taylor expansion of c in c 14.214 * [backup-simplify]: Simplify 0 into 0 14.214 * [backup-simplify]: Simplify 1 into 1 14.215 * [backup-simplify]: Simplify (* 1 1) into 1 14.215 * [backup-simplify]: Simplify (/ 1 1) into 1 14.215 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 14.215 * [taylor]: Taking taylor expansion of (pow d 2) in c 14.215 * [taylor]: Taking taylor expansion of d in c 14.215 * [backup-simplify]: Simplify d into d 14.215 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.215 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 14.216 * [backup-simplify]: Simplify (+ 1 0) into 1 14.216 * [backup-simplify]: Simplify (sqrt 1) into 1 14.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.218 * [backup-simplify]: Simplify (+ 0 0) into 0 14.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.219 * [taylor]: Taking taylor expansion of 1 in d 14.219 * [backup-simplify]: Simplify 1 into 1 14.219 * [taylor]: Taking taylor expansion of 0 in d 14.219 * [backup-simplify]: Simplify 0 into 0 14.219 * [backup-simplify]: Simplify 1 into 1 14.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.221 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 14.222 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 14.222 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 14.222 * [taylor]: Taking taylor expansion of 1/2 in d 14.222 * [backup-simplify]: Simplify 1/2 into 1/2 14.222 * [taylor]: Taking taylor expansion of (pow d 2) in d 14.222 * [taylor]: Taking taylor expansion of d in d 14.222 * [backup-simplify]: Simplify 0 into 0 14.222 * [backup-simplify]: Simplify 1 into 1 14.223 * [backup-simplify]: Simplify (* 1 1) into 1 14.223 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.225 * [backup-simplify]: Simplify 0 into 0 14.225 * [backup-simplify]: Simplify 0 into 0 14.225 * [backup-simplify]: Simplify 0 into 0 14.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.227 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 14.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 14.227 * [backup-simplify]: Simplify (+ 0 0) into 0 14.227 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 14.227 * [taylor]: Taking taylor expansion of 0 in d 14.227 * [backup-simplify]: Simplify 0 into 0 14.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.229 * [backup-simplify]: Simplify 0 into 0 14.229 * [backup-simplify]: Simplify 0 into 0 14.229 * [backup-simplify]: Simplify 0 into 0 14.229 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) 14.229 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 14.229 * [backup-simplify]: Simplify (sqrt (+ (* c c) (* d d))) into (sqrt (+ (pow c 2) (pow d 2))) 14.229 * [approximate]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in (c d) around 0 14.229 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in d 14.229 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 14.229 * [taylor]: Taking taylor expansion of (pow c 2) in d 14.229 * [taylor]: Taking taylor expansion of c in d 14.229 * [backup-simplify]: Simplify c into c 14.229 * [taylor]: Taking taylor expansion of (pow d 2) in d 14.229 * [taylor]: Taking taylor expansion of d in d 14.229 * [backup-simplify]: Simplify 0 into 0 14.229 * [backup-simplify]: Simplify 1 into 1 14.229 * [backup-simplify]: Simplify (* c c) into (pow c 2) 14.229 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 14.229 * [backup-simplify]: Simplify (sqrt (pow c 2)) into c 14.229 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 14.230 * [backup-simplify]: Simplify (+ 0 0) into 0 14.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 14.230 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 14.230 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 14.230 * [taylor]: Taking taylor expansion of (pow c 2) in c 14.230 * [taylor]: Taking taylor expansion of c in c 14.230 * [backup-simplify]: Simplify 0 into 0 14.230 * [backup-simplify]: Simplify 1 into 1 14.230 * [taylor]: Taking taylor expansion of (pow d 2) in c 14.230 * [taylor]: Taking taylor expansion of d in c 14.230 * [backup-simplify]: Simplify d into d 14.230 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.230 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 14.230 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 14.230 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 14.230 * [backup-simplify]: Simplify (+ 0 0) into 0 14.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 14.230 * [taylor]: Taking taylor expansion of (sqrt (+ (pow c 2) (pow d 2))) in c 14.230 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 14.230 * [taylor]: Taking taylor expansion of (pow c 2) in c 14.230 * [taylor]: Taking taylor expansion of c in c 14.230 * [backup-simplify]: Simplify 0 into 0 14.230 * [backup-simplify]: Simplify 1 into 1 14.230 * [taylor]: Taking taylor expansion of (pow d 2) in c 14.230 * [taylor]: Taking taylor expansion of d in c 14.230 * [backup-simplify]: Simplify d into d 14.230 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.231 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 14.231 * [backup-simplify]: Simplify (sqrt (pow d 2)) into d 14.231 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 14.231 * [backup-simplify]: Simplify (+ 0 0) into 0 14.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 14.231 * [taylor]: Taking taylor expansion of d in d 14.231 * [backup-simplify]: Simplify 0 into 0 14.231 * [backup-simplify]: Simplify 1 into 1 14.231 * [backup-simplify]: Simplify 0 into 0 14.231 * [taylor]: Taking taylor expansion of 0 in d 14.231 * [backup-simplify]: Simplify 0 into 0 14.231 * [backup-simplify]: Simplify 0 into 0 14.231 * [backup-simplify]: Simplify 1 into 1 14.231 * [backup-simplify]: Simplify (* 1 1) into 1 14.232 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 14.232 * [backup-simplify]: Simplify (+ 1 0) into 1 14.233 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) 14.233 * [taylor]: Taking taylor expansion of (/ 1/2 d) in d 14.233 * [taylor]: Taking taylor expansion of 1/2 in d 14.233 * [backup-simplify]: Simplify 1/2 into 1/2 14.233 * [taylor]: Taking taylor expansion of d in d 14.233 * [backup-simplify]: Simplify 0 into 0 14.233 * [backup-simplify]: Simplify 1 into 1 14.233 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.234 * [backup-simplify]: Simplify 0 into 0 14.234 * [backup-simplify]: Simplify 0 into 0 14.234 * [backup-simplify]: Simplify 0 into 0 14.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.235 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 14.235 * [backup-simplify]: Simplify (+ 0 0) into 0 14.235 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 14.235 * [taylor]: Taking taylor expansion of 0 in d 14.235 * [backup-simplify]: Simplify 0 into 0 14.235 * [backup-simplify]: Simplify 0 into 0 14.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.236 * [backup-simplify]: Simplify 0 into 0 14.236 * [backup-simplify]: Simplify 0 into 0 14.236 * [backup-simplify]: Simplify (* 1 (* d 1)) into d 14.236 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 14.236 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 14.236 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 14.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 14.236 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 14.236 * [taylor]: Taking taylor expansion of (pow c 2) in d 14.236 * [taylor]: Taking taylor expansion of c in d 14.236 * [backup-simplify]: Simplify c into c 14.236 * [backup-simplify]: Simplify (* c c) into (pow c 2) 14.236 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 14.236 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 14.236 * [taylor]: Taking taylor expansion of (pow d 2) in d 14.236 * [taylor]: Taking taylor expansion of d in d 14.236 * [backup-simplify]: Simplify 0 into 0 14.236 * [backup-simplify]: Simplify 1 into 1 14.236 * [backup-simplify]: Simplify (* 1 1) into 1 14.237 * [backup-simplify]: Simplify (/ 1 1) into 1 14.237 * [backup-simplify]: Simplify (+ 0 1) into 1 14.237 * [backup-simplify]: Simplify (sqrt 1) into 1 14.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.238 * [backup-simplify]: Simplify (+ 0 0) into 0 14.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.239 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 14.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 14.239 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 14.239 * [taylor]: Taking taylor expansion of (pow c 2) in c 14.239 * [taylor]: Taking taylor expansion of c in c 14.239 * [backup-simplify]: Simplify 0 into 0 14.239 * [backup-simplify]: Simplify 1 into 1 14.239 * [backup-simplify]: Simplify (* 1 1) into 1 14.239 * [backup-simplify]: Simplify (/ 1 1) into 1 14.239 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 14.239 * [taylor]: Taking taylor expansion of (pow d 2) in c 14.239 * [taylor]: Taking taylor expansion of d in c 14.239 * [backup-simplify]: Simplify d into d 14.239 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.239 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 14.240 * [backup-simplify]: Simplify (+ 1 0) into 1 14.240 * [backup-simplify]: Simplify (sqrt 1) into 1 14.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.241 * [backup-simplify]: Simplify (+ 0 0) into 0 14.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 14.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 14.241 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 14.242 * [taylor]: Taking taylor expansion of (pow c 2) in c 14.242 * [taylor]: Taking taylor expansion of c in c 14.242 * [backup-simplify]: Simplify 0 into 0 14.242 * [backup-simplify]: Simplify 1 into 1 14.242 * [backup-simplify]: Simplify (* 1 1) into 1 14.242 * [backup-simplify]: Simplify (/ 1 1) into 1 14.242 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 14.242 * [taylor]: Taking taylor expansion of (pow d 2) in c 14.242 * [taylor]: Taking taylor expansion of d in c 14.242 * [backup-simplify]: Simplify d into d 14.242 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.242 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 14.243 * [backup-simplify]: Simplify (+ 1 0) into 1 14.243 * [backup-simplify]: Simplify (sqrt 1) into 1 14.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.244 * [backup-simplify]: Simplify (+ 0 0) into 0 14.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.244 * [taylor]: Taking taylor expansion of 1 in d 14.244 * [backup-simplify]: Simplify 1 into 1 14.244 * [taylor]: Taking taylor expansion of 0 in d 14.244 * [backup-simplify]: Simplify 0 into 0 14.244 * [backup-simplify]: Simplify 1 into 1 14.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.246 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 14.246 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 14.246 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 14.246 * [taylor]: Taking taylor expansion of 1/2 in d 14.246 * [backup-simplify]: Simplify 1/2 into 1/2 14.246 * [taylor]: Taking taylor expansion of (pow d 2) in d 14.247 * [taylor]: Taking taylor expansion of d in d 14.247 * [backup-simplify]: Simplify 0 into 0 14.247 * [backup-simplify]: Simplify 1 into 1 14.247 * [backup-simplify]: Simplify (* 1 1) into 1 14.247 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.248 * [backup-simplify]: Simplify 0 into 0 14.248 * [backup-simplify]: Simplify 0 into 0 14.248 * [backup-simplify]: Simplify 0 into 0 14.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.249 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 14.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 14.250 * [backup-simplify]: Simplify (+ 0 0) into 0 14.250 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 14.250 * [taylor]: Taking taylor expansion of 0 in d 14.250 * [backup-simplify]: Simplify 0 into 0 14.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.251 * [backup-simplify]: Simplify 0 into 0 14.251 * [backup-simplify]: Simplify 0 into 0 14.251 * [backup-simplify]: Simplify 0 into 0 14.251 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c 14.251 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 14.252 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in (c d) around 0 14.252 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 14.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 14.252 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 14.252 * [taylor]: Taking taylor expansion of (pow c 2) in d 14.252 * [taylor]: Taking taylor expansion of c in d 14.252 * [backup-simplify]: Simplify c into c 14.252 * [backup-simplify]: Simplify (* c c) into (pow c 2) 14.252 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 14.252 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 14.252 * [taylor]: Taking taylor expansion of (pow d 2) in d 14.252 * [taylor]: Taking taylor expansion of d in d 14.252 * [backup-simplify]: Simplify 0 into 0 14.252 * [backup-simplify]: Simplify 1 into 1 14.252 * [backup-simplify]: Simplify (* 1 1) into 1 14.252 * [backup-simplify]: Simplify (/ 1 1) into 1 14.253 * [backup-simplify]: Simplify (+ 0 1) into 1 14.253 * [backup-simplify]: Simplify (sqrt 1) into 1 14.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.254 * [backup-simplify]: Simplify (+ 0 0) into 0 14.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.254 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 14.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 14.255 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 14.255 * [taylor]: Taking taylor expansion of (pow c 2) in c 14.255 * [taylor]: Taking taylor expansion of c in c 14.255 * [backup-simplify]: Simplify 0 into 0 14.255 * [backup-simplify]: Simplify 1 into 1 14.255 * [backup-simplify]: Simplify (* 1 1) into 1 14.255 * [backup-simplify]: Simplify (/ 1 1) into 1 14.255 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 14.256 * [taylor]: Taking taylor expansion of (pow d 2) in c 14.256 * [taylor]: Taking taylor expansion of d in c 14.256 * [backup-simplify]: Simplify d into d 14.256 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.256 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 14.256 * [backup-simplify]: Simplify (+ 1 0) into 1 14.257 * [backup-simplify]: Simplify (sqrt 1) into 1 14.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.259 * [backup-simplify]: Simplify (+ 0 0) into 0 14.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.259 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 14.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 14.259 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 14.259 * [taylor]: Taking taylor expansion of (pow c 2) in c 14.259 * [taylor]: Taking taylor expansion of c in c 14.259 * [backup-simplify]: Simplify 0 into 0 14.259 * [backup-simplify]: Simplify 1 into 1 14.260 * [backup-simplify]: Simplify (* 1 1) into 1 14.260 * [backup-simplify]: Simplify (/ 1 1) into 1 14.260 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 14.260 * [taylor]: Taking taylor expansion of (pow d 2) in c 14.260 * [taylor]: Taking taylor expansion of d in c 14.260 * [backup-simplify]: Simplify d into d 14.260 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.260 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 14.261 * [backup-simplify]: Simplify (+ 1 0) into 1 14.261 * [backup-simplify]: Simplify (sqrt 1) into 1 14.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.263 * [backup-simplify]: Simplify (+ 0 0) into 0 14.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.264 * [taylor]: Taking taylor expansion of 1 in d 14.264 * [backup-simplify]: Simplify 1 into 1 14.264 * [taylor]: Taking taylor expansion of 0 in d 14.264 * [backup-simplify]: Simplify 0 into 0 14.264 * [backup-simplify]: Simplify 1 into 1 14.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.266 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 14.267 * [backup-simplify]: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) 14.267 * [taylor]: Taking taylor expansion of (/ 1/2 (pow d 2)) in d 14.267 * [taylor]: Taking taylor expansion of 1/2 in d 14.267 * [backup-simplify]: Simplify 1/2 into 1/2 14.267 * [taylor]: Taking taylor expansion of (pow d 2) in d 14.267 * [taylor]: Taking taylor expansion of d in d 14.267 * [backup-simplify]: Simplify 0 into 0 14.267 * [backup-simplify]: Simplify 1 into 1 14.268 * [backup-simplify]: Simplify (* 1 1) into 1 14.268 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.270 * [backup-simplify]: Simplify 0 into 0 14.270 * [backup-simplify]: Simplify 0 into 0 14.270 * [backup-simplify]: Simplify 0 into 0 14.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.272 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 14.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 14.273 * [backup-simplify]: Simplify (+ 0 0) into 0 14.274 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 14.274 * [taylor]: Taking taylor expansion of 0 in d 14.274 * [backup-simplify]: Simplify 0 into 0 14.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.276 * [backup-simplify]: Simplify 0 into 0 14.276 * [backup-simplify]: Simplify 0 into 0 14.276 * [backup-simplify]: Simplify 0 into 0 14.276 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) 14.276 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 14.276 * [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))))) 14.276 * [approximate]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in (a c b d) around 0 14.276 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in d 14.277 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d 14.277 * [taylor]: Taking taylor expansion of (* a c) in d 14.277 * [taylor]: Taking taylor expansion of a in d 14.277 * [backup-simplify]: Simplify a into a 14.277 * [taylor]: Taking taylor expansion of c in d 14.277 * [backup-simplify]: Simplify c into c 14.277 * [taylor]: Taking taylor expansion of (* b d) in d 14.277 * [taylor]: Taking taylor expansion of b in d 14.277 * [backup-simplify]: Simplify b into b 14.277 * [taylor]: Taking taylor expansion of d in d 14.277 * [backup-simplify]: Simplify 0 into 0 14.277 * [backup-simplify]: Simplify 1 into 1 14.277 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in d 14.277 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in d 14.277 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d 14.277 * [taylor]: Taking taylor expansion of (pow c 2) in d 14.277 * [taylor]: Taking taylor expansion of c in d 14.277 * [backup-simplify]: Simplify c into c 14.277 * [taylor]: Taking taylor expansion of (pow d 2) in d 14.277 * [taylor]: Taking taylor expansion of d in d 14.277 * [backup-simplify]: Simplify 0 into 0 14.277 * [backup-simplify]: Simplify 1 into 1 14.277 * [backup-simplify]: Simplify (* c c) into (pow c 2) 14.277 * [backup-simplify]: Simplify (+ (pow c 2) 0) into (pow c 2) 14.277 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 14.277 * [backup-simplify]: Simplify (sqrt (/ 1 (pow c 2))) into (/ 1 c) 14.278 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 14.278 * [backup-simplify]: Simplify (+ 0 0) into 0 14.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 14.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow c 2))))) into 0 14.279 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in b 14.279 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b 14.279 * [taylor]: Taking taylor expansion of (* a c) in b 14.279 * [taylor]: Taking taylor expansion of a in b 14.279 * [backup-simplify]: Simplify a into a 14.279 * [taylor]: Taking taylor expansion of c in b 14.279 * [backup-simplify]: Simplify c into c 14.279 * [taylor]: Taking taylor expansion of (* b d) in b 14.279 * [taylor]: Taking taylor expansion of b in b 14.279 * [backup-simplify]: Simplify 0 into 0 14.279 * [backup-simplify]: Simplify 1 into 1 14.279 * [taylor]: Taking taylor expansion of d in b 14.279 * [backup-simplify]: Simplify d into d 14.279 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in b 14.279 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in b 14.279 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in b 14.279 * [taylor]: Taking taylor expansion of (pow c 2) in b 14.279 * [taylor]: Taking taylor expansion of c in b 14.279 * [backup-simplify]: Simplify c into c 14.279 * [taylor]: Taking taylor expansion of (pow d 2) in b 14.279 * [taylor]: Taking taylor expansion of d in b 14.279 * [backup-simplify]: Simplify d into d 14.279 * [backup-simplify]: Simplify (* c c) into (pow c 2) 14.279 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.280 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 14.280 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2))) 14.280 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) 14.280 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 14.280 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 14.281 * [backup-simplify]: Simplify (+ 0 0) into 0 14.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 14.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0 14.281 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c 14.281 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c 14.281 * [taylor]: Taking taylor expansion of (* a c) in c 14.281 * [taylor]: Taking taylor expansion of a in c 14.281 * [backup-simplify]: Simplify a into a 14.281 * [taylor]: Taking taylor expansion of c in c 14.281 * [backup-simplify]: Simplify 0 into 0 14.281 * [backup-simplify]: Simplify 1 into 1 14.281 * [taylor]: Taking taylor expansion of (* b d) in c 14.282 * [taylor]: Taking taylor expansion of b in c 14.282 * [backup-simplify]: Simplify b into b 14.282 * [taylor]: Taking taylor expansion of d in c 14.282 * [backup-simplify]: Simplify d into d 14.282 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c 14.282 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c 14.282 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 14.282 * [taylor]: Taking taylor expansion of (pow c 2) in c 14.282 * [taylor]: Taking taylor expansion of c in c 14.282 * [backup-simplify]: Simplify 0 into 0 14.282 * [backup-simplify]: Simplify 1 into 1 14.282 * [taylor]: Taking taylor expansion of (pow d 2) in c 14.282 * [taylor]: Taking taylor expansion of d in c 14.282 * [backup-simplify]: Simplify d into d 14.282 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.282 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 14.282 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 14.282 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d) 14.283 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 14.283 * [backup-simplify]: Simplify (+ 0 0) into 0 14.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 14.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0 14.283 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a 14.283 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 14.283 * [taylor]: Taking taylor expansion of (* a c) in a 14.284 * [taylor]: Taking taylor expansion of a in a 14.284 * [backup-simplify]: Simplify 0 into 0 14.284 * [backup-simplify]: Simplify 1 into 1 14.284 * [taylor]: Taking taylor expansion of c in a 14.284 * [backup-simplify]: Simplify c into c 14.284 * [taylor]: Taking taylor expansion of (* b d) in a 14.284 * [taylor]: Taking taylor expansion of b in a 14.284 * [backup-simplify]: Simplify b into b 14.284 * [taylor]: Taking taylor expansion of d in a 14.284 * [backup-simplify]: Simplify d into d 14.284 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a 14.284 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a 14.284 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a 14.284 * [taylor]: Taking taylor expansion of (pow c 2) in a 14.284 * [taylor]: Taking taylor expansion of c in a 14.284 * [backup-simplify]: Simplify c into c 14.284 * [taylor]: Taking taylor expansion of (pow d 2) in a 14.284 * [taylor]: Taking taylor expansion of d in a 14.284 * [backup-simplify]: Simplify d into d 14.284 * [backup-simplify]: Simplify (* c c) into (pow c 2) 14.284 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.284 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 14.284 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2))) 14.285 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) 14.285 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 14.285 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 14.285 * [backup-simplify]: Simplify (+ 0 0) into 0 14.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 14.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0 14.286 * [taylor]: Taking taylor expansion of (* (+ (* a c) (* b d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in a 14.286 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 14.286 * [taylor]: Taking taylor expansion of (* a c) in a 14.286 * [taylor]: Taking taylor expansion of a in a 14.286 * [backup-simplify]: Simplify 0 into 0 14.286 * [backup-simplify]: Simplify 1 into 1 14.286 * [taylor]: Taking taylor expansion of c in a 14.287 * [backup-simplify]: Simplify c into c 14.287 * [taylor]: Taking taylor expansion of (* b d) in a 14.287 * [taylor]: Taking taylor expansion of b in a 14.287 * [backup-simplify]: Simplify b into b 14.287 * [taylor]: Taking taylor expansion of d in a 14.287 * [backup-simplify]: Simplify d into d 14.287 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in a 14.287 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in a 14.287 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in a 14.287 * [taylor]: Taking taylor expansion of (pow c 2) in a 14.287 * [taylor]: Taking taylor expansion of c in a 14.287 * [backup-simplify]: Simplify c into c 14.287 * [taylor]: Taking taylor expansion of (pow d 2) in a 14.287 * [taylor]: Taking taylor expansion of d in a 14.287 * [backup-simplify]: Simplify d into d 14.287 * [backup-simplify]: Simplify (* c c) into (pow c 2) 14.287 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.287 * [backup-simplify]: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) 14.287 * [backup-simplify]: Simplify (/ 1 (+ (pow c 2) (pow d 2))) into (/ 1 (+ (pow c 2) (pow d 2))) 14.288 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) 14.288 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 14.288 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 14.288 * [backup-simplify]: Simplify (+ 0 0) into 0 14.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 14.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0 14.289 * [backup-simplify]: Simplify (* 0 c) into 0 14.289 * [backup-simplify]: Simplify (* b d) into (* b d) 14.289 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 14.289 * [backup-simplify]: Simplify (* (* b d) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) into (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) 14.289 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) in c 14.289 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c 14.289 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c 14.289 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 14.289 * [taylor]: Taking taylor expansion of (pow c 2) in c 14.289 * [taylor]: Taking taylor expansion of c in c 14.289 * [backup-simplify]: Simplify 0 into 0 14.290 * [backup-simplify]: Simplify 1 into 1 14.290 * [taylor]: Taking taylor expansion of (pow d 2) in c 14.290 * [taylor]: Taking taylor expansion of d in c 14.290 * [backup-simplify]: Simplify d into d 14.290 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.290 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 14.290 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 14.290 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d) 14.290 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 14.291 * [backup-simplify]: Simplify (+ 0 0) into 0 14.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 14.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0 14.291 * [taylor]: Taking taylor expansion of (* b d) in c 14.291 * [taylor]: Taking taylor expansion of b in c 14.291 * [backup-simplify]: Simplify b into b 14.291 * [taylor]: Taking taylor expansion of d in c 14.291 * [backup-simplify]: Simplify d into d 14.291 * [backup-simplify]: Simplify (* b d) into (* b d) 14.291 * [backup-simplify]: Simplify (* (/ 1 d) (* b d)) into b 14.291 * [taylor]: Taking taylor expansion of b in b 14.291 * [backup-simplify]: Simplify 0 into 0 14.291 * [backup-simplify]: Simplify 1 into 1 14.291 * [taylor]: Taking taylor expansion of 0 in d 14.291 * [backup-simplify]: Simplify 0 into 0 14.291 * [backup-simplify]: Simplify 0 into 0 14.292 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 14.292 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 14.292 * [backup-simplify]: Simplify (+ c 0) into c 14.292 * [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))))) 14.292 * [taylor]: Taking taylor expansion of (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c 14.292 * [taylor]: Taking taylor expansion of c in c 14.292 * [backup-simplify]: Simplify 0 into 0 14.292 * [backup-simplify]: Simplify 1 into 1 14.292 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c 14.292 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c 14.292 * [taylor]: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c 14.292 * [taylor]: Taking taylor expansion of (pow c 2) in c 14.292 * [taylor]: Taking taylor expansion of c in c 14.293 * [backup-simplify]: Simplify 0 into 0 14.293 * [backup-simplify]: Simplify 1 into 1 14.293 * [taylor]: Taking taylor expansion of (pow d 2) in c 14.293 * [taylor]: Taking taylor expansion of d in c 14.293 * [backup-simplify]: Simplify d into d 14.293 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.293 * [backup-simplify]: Simplify (+ 0 (pow d 2)) into (pow d 2) 14.293 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 14.293 * [backup-simplify]: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d) 14.293 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 14.293 * [backup-simplify]: Simplify (+ 0 0) into 0 14.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 14.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0 14.294 * [backup-simplify]: Simplify (* 0 (/ 1 d)) into 0 14.294 * [taylor]: Taking taylor expansion of 0 in b 14.294 * [backup-simplify]: Simplify 0 into 0 14.294 * [taylor]: Taking taylor expansion of 0 in d 14.294 * [backup-simplify]: Simplify 0 into 0 14.294 * [backup-simplify]: Simplify 0 into 0 14.294 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 14.294 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (* 0 (* b d))) into 0 14.294 * [taylor]: Taking taylor expansion of 0 in b 14.294 * [backup-simplify]: Simplify 0 into 0 14.294 * [taylor]: Taking taylor expansion of 0 in d 14.294 * [backup-simplify]: Simplify 0 into 0 14.294 * [backup-simplify]: Simplify 0 into 0 14.294 * [taylor]: Taking taylor expansion of 1 in d 14.294 * [backup-simplify]: Simplify 1 into 1 14.294 * [backup-simplify]: Simplify 1 into 1 14.295 * [backup-simplify]: Simplify 0 into 0 14.295 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 14.296 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 14.296 * [backup-simplify]: Simplify (+ 0 0) into 0 14.296 * [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 14.297 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into 0 14.298 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 14.299 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 14.299 * [backup-simplify]: Simplify (+ 0 0) into 0 14.299 * [backup-simplify]: Simplify (+ (* (* b d) 0) (+ (* c 0) (* 0 (sqrt (/ 1 (+ (pow c 2) (pow d 2))))))) into 0 14.299 * [taylor]: Taking taylor expansion of 0 in c 14.299 * [backup-simplify]: Simplify 0 into 0 14.299 * [taylor]: Taking taylor expansion of 0 in b 14.299 * [backup-simplify]: Simplify 0 into 0 14.299 * [taylor]: Taking taylor expansion of 0 in d 14.299 * [backup-simplify]: Simplify 0 into 0 14.299 * [backup-simplify]: Simplify 0 into 0 14.300 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1 d))) into (/ 1 d) 14.300 * [taylor]: Taking taylor expansion of (/ 1 d) in b 14.300 * [taylor]: Taking taylor expansion of d in b 14.300 * [backup-simplify]: Simplify d into d 14.300 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 14.300 * [taylor]: Taking taylor expansion of (/ 1 d) in d 14.300 * [taylor]: Taking taylor expansion of d in d 14.300 * [backup-simplify]: Simplify 0 into 0 14.300 * [backup-simplify]: Simplify 1 into 1 14.301 * [backup-simplify]: Simplify (/ 1 1) into 1 14.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.301 * [backup-simplify]: Simplify 0 into 0 14.302 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 14.302 * [backup-simplify]: Simplify (* 1 1) into 1 14.303 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 14.303 * [backup-simplify]: Simplify (+ 1 0) into 1 14.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ 1 (pow d 4))) 14.304 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 4))) (pow 0 2) (+)) (* 2 (/ 1 d))) into (/ -1/2 (pow d 3)) 14.305 * [backup-simplify]: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* (/ -1/2 (pow d 3)) (* b d)))) into (- (* 1/2 (/ b (pow d 2)))) 14.305 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ b (pow d 2)))) in b 14.305 * [taylor]: Taking taylor expansion of (* 1/2 (/ b (pow d 2))) in b 14.305 * [taylor]: Taking taylor expansion of 1/2 in b 14.305 * [backup-simplify]: Simplify 1/2 into 1/2 14.305 * [taylor]: Taking taylor expansion of (/ b (pow d 2)) in b 14.305 * [taylor]: Taking taylor expansion of b in b 14.305 * [backup-simplify]: Simplify 0 into 0 14.305 * [backup-simplify]: Simplify 1 into 1 14.305 * [taylor]: Taking taylor expansion of (pow d 2) in b 14.305 * [taylor]: Taking taylor expansion of d in b 14.305 * [backup-simplify]: Simplify d into d 14.305 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.305 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 14.306 * [taylor]: Taking taylor expansion of 0 in d 14.306 * [backup-simplify]: Simplify 0 into 0 14.306 * [backup-simplify]: Simplify 0 into 0 14.306 * [taylor]: Taking taylor expansion of 0 in d 14.306 * [backup-simplify]: Simplify 0 into 0 14.306 * [backup-simplify]: Simplify 0 into 0 14.306 * [taylor]: Taking taylor expansion of 0 in d 14.306 * [backup-simplify]: Simplify 0 into 0 14.306 * [backup-simplify]: Simplify 0 into 0 14.306 * [backup-simplify]: Simplify (* 1 (* 1 (* b (* 1 1)))) into b 14.307 * [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)))))) 14.307 * [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 14.307 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d 14.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 14.307 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 14.307 * [taylor]: Taking taylor expansion of (* b d) in d 14.307 * [taylor]: Taking taylor expansion of b in d 14.307 * [backup-simplify]: Simplify b into b 14.307 * [taylor]: Taking taylor expansion of d in d 14.307 * [backup-simplify]: Simplify 0 into 0 14.307 * [backup-simplify]: Simplify 1 into 1 14.307 * [backup-simplify]: Simplify (* b 0) into 0 14.308 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 14.308 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 14.308 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 14.308 * [taylor]: Taking taylor expansion of (* a c) in d 14.308 * [taylor]: Taking taylor expansion of a in d 14.308 * [backup-simplify]: Simplify a into a 14.308 * [taylor]: Taking taylor expansion of c in d 14.308 * [backup-simplify]: Simplify c into c 14.308 * [backup-simplify]: Simplify (* a c) into (* a c) 14.308 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 14.308 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d 14.308 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 14.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 14.308 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 14.308 * [taylor]: Taking taylor expansion of (pow c 2) in d 14.308 * [taylor]: Taking taylor expansion of c in d 14.308 * [backup-simplify]: Simplify c into c 14.308 * [backup-simplify]: Simplify (* c c) into (pow c 2) 14.308 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 14.308 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 14.309 * [taylor]: Taking taylor expansion of (pow d 2) in d 14.309 * [taylor]: Taking taylor expansion of d in d 14.309 * [backup-simplify]: Simplify 0 into 0 14.309 * [backup-simplify]: Simplify 1 into 1 14.309 * [backup-simplify]: Simplify (* 1 1) into 1 14.309 * [backup-simplify]: Simplify (/ 1 1) into 1 14.310 * [backup-simplify]: Simplify (+ 0 1) into 1 14.310 * [backup-simplify]: Simplify (/ 1 1) into 1 14.311 * [backup-simplify]: Simplify (sqrt 1) into 1 14.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.312 * [backup-simplify]: Simplify (+ 0 0) into 0 14.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.314 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b 14.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 14.314 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 14.314 * [taylor]: Taking taylor expansion of (* b d) in b 14.314 * [taylor]: Taking taylor expansion of b in b 14.314 * [backup-simplify]: Simplify 0 into 0 14.314 * [backup-simplify]: Simplify 1 into 1 14.314 * [taylor]: Taking taylor expansion of d in b 14.314 * [backup-simplify]: Simplify d into d 14.314 * [backup-simplify]: Simplify (* 0 d) into 0 14.315 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 14.315 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 14.315 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 14.315 * [taylor]: Taking taylor expansion of (* a c) in b 14.315 * [taylor]: Taking taylor expansion of a in b 14.315 * [backup-simplify]: Simplify a into a 14.315 * [taylor]: Taking taylor expansion of c in b 14.315 * [backup-simplify]: Simplify c into c 14.315 * [backup-simplify]: Simplify (* a c) into (* a c) 14.315 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 14.315 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b 14.315 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 14.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 14.315 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 14.315 * [taylor]: Taking taylor expansion of (pow c 2) in b 14.315 * [taylor]: Taking taylor expansion of c in b 14.315 * [backup-simplify]: Simplify c into c 14.315 * [backup-simplify]: Simplify (* c c) into (pow c 2) 14.315 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 14.315 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 14.315 * [taylor]: Taking taylor expansion of (pow d 2) in b 14.315 * [taylor]: Taking taylor expansion of d in b 14.315 * [backup-simplify]: Simplify d into d 14.315 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.316 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 14.316 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 14.316 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 14.316 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 14.316 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 14.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 14.316 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 14.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 14.317 * [backup-simplify]: Simplify (+ 0 0) into 0 14.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 14.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 14.318 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c 14.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 14.318 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 14.318 * [taylor]: Taking taylor expansion of (* b d) in c 14.318 * [taylor]: Taking taylor expansion of b in c 14.318 * [backup-simplify]: Simplify b into b 14.318 * [taylor]: Taking taylor expansion of d in c 14.318 * [backup-simplify]: Simplify d into d 14.318 * [backup-simplify]: Simplify (* b d) into (* b d) 14.318 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 14.318 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 14.318 * [taylor]: Taking taylor expansion of (* a c) in c 14.318 * [taylor]: Taking taylor expansion of a in c 14.318 * [backup-simplify]: Simplify a into a 14.318 * [taylor]: Taking taylor expansion of c in c 14.318 * [backup-simplify]: Simplify 0 into 0 14.318 * [backup-simplify]: Simplify 1 into 1 14.318 * [backup-simplify]: Simplify (* a 0) into 0 14.319 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 14.319 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.319 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 14.319 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 14.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 14.319 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 14.319 * [taylor]: Taking taylor expansion of (pow c 2) in c 14.319 * [taylor]: Taking taylor expansion of c in c 14.319 * [backup-simplify]: Simplify 0 into 0 14.319 * [backup-simplify]: Simplify 1 into 1 14.320 * [backup-simplify]: Simplify (* 1 1) into 1 14.320 * [backup-simplify]: Simplify (/ 1 1) into 1 14.320 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 14.320 * [taylor]: Taking taylor expansion of (pow d 2) in c 14.320 * [taylor]: Taking taylor expansion of d in c 14.320 * [backup-simplify]: Simplify d into d 14.320 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.320 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 14.321 * [backup-simplify]: Simplify (+ 1 0) into 1 14.321 * [backup-simplify]: Simplify (/ 1 1) into 1 14.322 * [backup-simplify]: Simplify (sqrt 1) into 1 14.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.323 * [backup-simplify]: Simplify (+ 0 0) into 0 14.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.325 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a 14.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 14.325 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 14.325 * [taylor]: Taking taylor expansion of (* b d) in a 14.325 * [taylor]: Taking taylor expansion of b in a 14.325 * [backup-simplify]: Simplify b into b 14.325 * [taylor]: Taking taylor expansion of d in a 14.325 * [backup-simplify]: Simplify d into d 14.325 * [backup-simplify]: Simplify (* b d) into (* b d) 14.325 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 14.325 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 14.325 * [taylor]: Taking taylor expansion of (* a c) in a 14.325 * [taylor]: Taking taylor expansion of a in a 14.325 * [backup-simplify]: Simplify 0 into 0 14.325 * [backup-simplify]: Simplify 1 into 1 14.325 * [taylor]: Taking taylor expansion of c in a 14.326 * [backup-simplify]: Simplify c into c 14.326 * [backup-simplify]: Simplify (* 0 c) into 0 14.326 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 14.326 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 14.326 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a 14.326 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 14.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 14.326 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 14.326 * [taylor]: Taking taylor expansion of (pow c 2) in a 14.326 * [taylor]: Taking taylor expansion of c in a 14.326 * [backup-simplify]: Simplify c into c 14.326 * [backup-simplify]: Simplify (* c c) into (pow c 2) 14.326 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 14.326 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 14.326 * [taylor]: Taking taylor expansion of (pow d 2) in a 14.326 * [taylor]: Taking taylor expansion of d in a 14.327 * [backup-simplify]: Simplify d into d 14.327 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.327 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 14.327 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 14.327 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 14.327 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 14.327 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 14.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 14.328 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 14.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 14.328 * [backup-simplify]: Simplify (+ 0 0) into 0 14.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 14.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 14.329 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a 14.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 14.329 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 14.329 * [taylor]: Taking taylor expansion of (* b d) in a 14.329 * [taylor]: Taking taylor expansion of b in a 14.329 * [backup-simplify]: Simplify b into b 14.329 * [taylor]: Taking taylor expansion of d in a 14.329 * [backup-simplify]: Simplify d into d 14.329 * [backup-simplify]: Simplify (* b d) into (* b d) 14.329 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 14.329 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 14.329 * [taylor]: Taking taylor expansion of (* a c) in a 14.329 * [taylor]: Taking taylor expansion of a in a 14.329 * [backup-simplify]: Simplify 0 into 0 14.329 * [backup-simplify]: Simplify 1 into 1 14.329 * [taylor]: Taking taylor expansion of c in a 14.329 * [backup-simplify]: Simplify c into c 14.329 * [backup-simplify]: Simplify (* 0 c) into 0 14.330 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 14.330 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 14.330 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a 14.330 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 14.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 14.330 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 14.330 * [taylor]: Taking taylor expansion of (pow c 2) in a 14.330 * [taylor]: Taking taylor expansion of c in a 14.330 * [backup-simplify]: Simplify c into c 14.330 * [backup-simplify]: Simplify (* c c) into (pow c 2) 14.330 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 14.330 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 14.330 * [taylor]: Taking taylor expansion of (pow d 2) in a 14.330 * [taylor]: Taking taylor expansion of d in a 14.330 * [backup-simplify]: Simplify d into d 14.330 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.330 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 14.331 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 14.331 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 14.331 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 14.331 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 14.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 14.331 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 14.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 14.332 * [backup-simplify]: Simplify (+ 0 0) into 0 14.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 14.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 14.333 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 14.333 * [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)) 14.333 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c 14.333 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 14.333 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 14.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 14.334 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 14.334 * [taylor]: Taking taylor expansion of (pow c 2) in c 14.334 * [taylor]: Taking taylor expansion of c in c 14.334 * [backup-simplify]: Simplify 0 into 0 14.334 * [backup-simplify]: Simplify 1 into 1 14.334 * [backup-simplify]: Simplify (* 1 1) into 1 14.335 * [backup-simplify]: Simplify (/ 1 1) into 1 14.335 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 14.335 * [taylor]: Taking taylor expansion of (pow d 2) in c 14.335 * [taylor]: Taking taylor expansion of d in c 14.335 * [backup-simplify]: Simplify d into d 14.335 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.335 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 14.335 * [backup-simplify]: Simplify (+ 1 0) into 1 14.336 * [backup-simplify]: Simplify (/ 1 1) into 1 14.336 * [backup-simplify]: Simplify (sqrt 1) into 1 14.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.338 * [backup-simplify]: Simplify (+ 0 0) into 0 14.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.339 * [taylor]: Taking taylor expansion of (/ 1 c) in c 14.339 * [taylor]: Taking taylor expansion of c in c 14.339 * [backup-simplify]: Simplify 0 into 0 14.339 * [backup-simplify]: Simplify 1 into 1 14.345 * [backup-simplify]: Simplify (/ 1 1) into 1 14.346 * [backup-simplify]: Simplify (* 1 1) into 1 14.346 * [taylor]: Taking taylor expansion of 1 in b 14.346 * [backup-simplify]: Simplify 1 into 1 14.347 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 14.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 14.347 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 14.348 * [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)))))) 14.348 * [taylor]: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c 14.348 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 14.348 * [taylor]: Taking taylor expansion of (* b d) in c 14.348 * [taylor]: Taking taylor expansion of b in c 14.348 * [backup-simplify]: Simplify b into b 14.348 * [taylor]: Taking taylor expansion of d in c 14.348 * [backup-simplify]: Simplify d into d 14.348 * [backup-simplify]: Simplify (* b d) into (* b d) 14.348 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 14.348 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 14.348 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 14.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 14.348 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 14.348 * [taylor]: Taking taylor expansion of (pow c 2) in c 14.348 * [taylor]: Taking taylor expansion of c in c 14.348 * [backup-simplify]: Simplify 0 into 0 14.348 * [backup-simplify]: Simplify 1 into 1 14.349 * [backup-simplify]: Simplify (* 1 1) into 1 14.349 * [backup-simplify]: Simplify (/ 1 1) into 1 14.349 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 14.349 * [taylor]: Taking taylor expansion of (pow d 2) in c 14.349 * [taylor]: Taking taylor expansion of d in c 14.349 * [backup-simplify]: Simplify d into d 14.349 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.349 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 14.350 * [backup-simplify]: Simplify (+ 1 0) into 1 14.350 * [backup-simplify]: Simplify (/ 1 1) into 1 14.351 * [backup-simplify]: Simplify (sqrt 1) into 1 14.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.353 * [backup-simplify]: Simplify (+ 0 0) into 0 14.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.356 * [taylor]: Taking taylor expansion of 0 in b 14.356 * [backup-simplify]: Simplify 0 into 0 14.356 * [taylor]: Taking taylor expansion of 1 in d 14.356 * [backup-simplify]: Simplify 1 into 1 14.356 * [backup-simplify]: Simplify 1 into 1 14.356 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 14.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 14.357 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 14.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 14.358 * [backup-simplify]: Simplify (+ 0 0) into 0 14.358 * [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 14.359 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 14.359 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 14.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 14.361 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 14.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 14.361 * [backup-simplify]: Simplify (+ 0 0) into 0 14.362 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 14.362 * [taylor]: Taking taylor expansion of 0 in c 14.362 * [backup-simplify]: Simplify 0 into 0 14.362 * [taylor]: Taking taylor expansion of 0 in b 14.362 * [backup-simplify]: Simplify 0 into 0 14.362 * [backup-simplify]: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d)) 14.362 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 14.362 * [taylor]: Taking taylor expansion of (* b d) in b 14.362 * [taylor]: Taking taylor expansion of b in b 14.362 * [backup-simplify]: Simplify 0 into 0 14.363 * [backup-simplify]: Simplify 1 into 1 14.363 * [taylor]: Taking taylor expansion of d in b 14.363 * [backup-simplify]: Simplify d into d 14.363 * [backup-simplify]: Simplify (* 0 d) into 0 14.363 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 14.363 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 14.363 * [taylor]: Taking taylor expansion of (/ 1 d) in d 14.363 * [taylor]: Taking taylor expansion of d in d 14.363 * [backup-simplify]: Simplify 0 into 0 14.363 * [backup-simplify]: Simplify 1 into 1 14.364 * [backup-simplify]: Simplify (/ 1 1) into 1 14.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.364 * [backup-simplify]: Simplify 0 into 0 14.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.367 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 14.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) 14.369 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2)) 14.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2)))) 14.370 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b 14.370 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b 14.370 * [taylor]: Taking taylor expansion of 1/2 in b 14.370 * [backup-simplify]: Simplify 1/2 into 1/2 14.370 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 14.371 * [taylor]: Taking taylor expansion of (pow d 2) in b 14.371 * [taylor]: Taking taylor expansion of d in b 14.371 * [backup-simplify]: Simplify d into d 14.371 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.371 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 14.371 * [taylor]: Taking taylor expansion of 0 in d 14.371 * [backup-simplify]: Simplify 0 into 0 14.371 * [backup-simplify]: Simplify 0 into 0 14.371 * [taylor]: Taking taylor expansion of 0 in d 14.371 * [backup-simplify]: Simplify 0 into 0 14.371 * [backup-simplify]: Simplify 0 into 0 14.371 * [backup-simplify]: Simplify 0 into 0 14.372 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 14.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 14.373 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 14.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 14.374 * [backup-simplify]: Simplify (+ 0 0) into 0 14.374 * [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 14.376 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 14.376 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 14.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 14.378 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 14.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 14.379 * [backup-simplify]: Simplify (+ 0 0) into 0 14.379 * [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 14.380 * [taylor]: Taking taylor expansion of 0 in c 14.380 * [backup-simplify]: Simplify 0 into 0 14.380 * [taylor]: Taking taylor expansion of 0 in b 14.380 * [backup-simplify]: Simplify 0 into 0 14.380 * [taylor]: Taking taylor expansion of 0 in b 14.380 * [backup-simplify]: Simplify 0 into 0 14.380 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 14.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 14.380 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0 14.381 * [taylor]: Taking taylor expansion of 0 in b 14.381 * [backup-simplify]: Simplify 0 into 0 14.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.384 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 14.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 14.385 * [backup-simplify]: Simplify (+ 0 0) into 0 14.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 14.386 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0 14.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0 14.388 * [taylor]: Taking taylor expansion of 0 in b 14.388 * [backup-simplify]: Simplify 0 into 0 14.388 * [taylor]: Taking taylor expansion of 0 in d 14.388 * [backup-simplify]: Simplify 0 into 0 14.388 * [backup-simplify]: Simplify 0 into 0 14.389 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 14.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 14.389 * [taylor]: Taking taylor expansion of 0 in d 14.389 * [backup-simplify]: Simplify 0 into 0 14.389 * [backup-simplify]: Simplify 0 into 0 14.389 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 a)))))) into a 14.390 * [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)))))) 14.390 * [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 14.390 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d 14.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 14.390 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 14.390 * [taylor]: Taking taylor expansion of (* b d) in d 14.390 * [taylor]: Taking taylor expansion of b in d 14.390 * [backup-simplify]: Simplify b into b 14.390 * [taylor]: Taking taylor expansion of d in d 14.390 * [backup-simplify]: Simplify 0 into 0 14.390 * [backup-simplify]: Simplify 1 into 1 14.390 * [backup-simplify]: Simplify (* b 0) into 0 14.391 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 14.391 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 14.391 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 14.391 * [taylor]: Taking taylor expansion of (* a c) in d 14.391 * [taylor]: Taking taylor expansion of a in d 14.391 * [backup-simplify]: Simplify a into a 14.391 * [taylor]: Taking taylor expansion of c in d 14.391 * [backup-simplify]: Simplify c into c 14.391 * [backup-simplify]: Simplify (* a c) into (* a c) 14.391 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 14.391 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d 14.391 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d 14.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d 14.391 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in d 14.391 * [taylor]: Taking taylor expansion of (pow c 2) in d 14.391 * [taylor]: Taking taylor expansion of c in d 14.391 * [backup-simplify]: Simplify c into c 14.391 * [backup-simplify]: Simplify (* c c) into (pow c 2) 14.391 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 14.391 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in d 14.391 * [taylor]: Taking taylor expansion of (pow d 2) in d 14.391 * [taylor]: Taking taylor expansion of d in d 14.391 * [backup-simplify]: Simplify 0 into 0 14.392 * [backup-simplify]: Simplify 1 into 1 14.392 * [backup-simplify]: Simplify (* 1 1) into 1 14.392 * [backup-simplify]: Simplify (/ 1 1) into 1 14.393 * [backup-simplify]: Simplify (+ 0 1) into 1 14.393 * [backup-simplify]: Simplify (/ 1 1) into 1 14.394 * [backup-simplify]: Simplify (sqrt 1) into 1 14.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.395 * [backup-simplify]: Simplify (+ 0 0) into 0 14.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.397 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in b 14.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 14.397 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 14.397 * [taylor]: Taking taylor expansion of (* b d) in b 14.397 * [taylor]: Taking taylor expansion of b in b 14.397 * [backup-simplify]: Simplify 0 into 0 14.397 * [backup-simplify]: Simplify 1 into 1 14.397 * [taylor]: Taking taylor expansion of d in b 14.397 * [backup-simplify]: Simplify d into d 14.397 * [backup-simplify]: Simplify (* 0 d) into 0 14.398 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 14.398 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 14.398 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 14.398 * [taylor]: Taking taylor expansion of (* a c) in b 14.398 * [taylor]: Taking taylor expansion of a in b 14.398 * [backup-simplify]: Simplify a into a 14.398 * [taylor]: Taking taylor expansion of c in b 14.398 * [backup-simplify]: Simplify c into c 14.398 * [backup-simplify]: Simplify (* a c) into (* a c) 14.398 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 14.398 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in b 14.398 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in b 14.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in b 14.398 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in b 14.398 * [taylor]: Taking taylor expansion of (pow c 2) in b 14.398 * [taylor]: Taking taylor expansion of c in b 14.398 * [backup-simplify]: Simplify c into c 14.398 * [backup-simplify]: Simplify (* c c) into (pow c 2) 14.398 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 14.398 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 14.398 * [taylor]: Taking taylor expansion of (pow d 2) in b 14.398 * [taylor]: Taking taylor expansion of d in b 14.398 * [backup-simplify]: Simplify d into d 14.398 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.398 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 14.399 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 14.399 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 14.399 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 14.399 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 14.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 14.399 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 14.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 14.399 * [backup-simplify]: Simplify (+ 0 0) into 0 14.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 14.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 14.400 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c 14.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 14.400 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 14.400 * [taylor]: Taking taylor expansion of (* b d) in c 14.400 * [taylor]: Taking taylor expansion of b in c 14.400 * [backup-simplify]: Simplify b into b 14.400 * [taylor]: Taking taylor expansion of d in c 14.400 * [backup-simplify]: Simplify d into d 14.400 * [backup-simplify]: Simplify (* b d) into (* b d) 14.400 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 14.400 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 14.400 * [taylor]: Taking taylor expansion of (* a c) in c 14.400 * [taylor]: Taking taylor expansion of a in c 14.400 * [backup-simplify]: Simplify a into a 14.400 * [taylor]: Taking taylor expansion of c in c 14.400 * [backup-simplify]: Simplify 0 into 0 14.400 * [backup-simplify]: Simplify 1 into 1 14.400 * [backup-simplify]: Simplify (* a 0) into 0 14.400 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 14.400 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.400 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 14.400 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 14.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 14.400 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 14.400 * [taylor]: Taking taylor expansion of (pow c 2) in c 14.400 * [taylor]: Taking taylor expansion of c in c 14.401 * [backup-simplify]: Simplify 0 into 0 14.401 * [backup-simplify]: Simplify 1 into 1 14.401 * [backup-simplify]: Simplify (* 1 1) into 1 14.401 * [backup-simplify]: Simplify (/ 1 1) into 1 14.401 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 14.401 * [taylor]: Taking taylor expansion of (pow d 2) in c 14.401 * [taylor]: Taking taylor expansion of d in c 14.401 * [backup-simplify]: Simplify d into d 14.401 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.401 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 14.401 * [backup-simplify]: Simplify (+ 1 0) into 1 14.402 * [backup-simplify]: Simplify (/ 1 1) into 1 14.402 * [backup-simplify]: Simplify (sqrt 1) into 1 14.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.403 * [backup-simplify]: Simplify (+ 0 0) into 0 14.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.404 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a 14.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 14.404 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 14.404 * [taylor]: Taking taylor expansion of (* b d) in a 14.404 * [taylor]: Taking taylor expansion of b in a 14.404 * [backup-simplify]: Simplify b into b 14.404 * [taylor]: Taking taylor expansion of d in a 14.404 * [backup-simplify]: Simplify d into d 14.404 * [backup-simplify]: Simplify (* b d) into (* b d) 14.404 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 14.404 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 14.404 * [taylor]: Taking taylor expansion of (* a c) in a 14.404 * [taylor]: Taking taylor expansion of a in a 14.404 * [backup-simplify]: Simplify 0 into 0 14.404 * [backup-simplify]: Simplify 1 into 1 14.404 * [taylor]: Taking taylor expansion of c in a 14.404 * [backup-simplify]: Simplify c into c 14.404 * [backup-simplify]: Simplify (* 0 c) into 0 14.405 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 14.405 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 14.405 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a 14.405 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 14.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 14.405 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 14.405 * [taylor]: Taking taylor expansion of (pow c 2) in a 14.405 * [taylor]: Taking taylor expansion of c in a 14.405 * [backup-simplify]: Simplify c into c 14.405 * [backup-simplify]: Simplify (* c c) into (pow c 2) 14.405 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 14.405 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 14.405 * [taylor]: Taking taylor expansion of (pow d 2) in a 14.405 * [taylor]: Taking taylor expansion of d in a 14.405 * [backup-simplify]: Simplify d into d 14.405 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.405 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 14.405 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 14.405 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 14.405 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 14.405 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 14.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 14.405 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 14.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 14.406 * [backup-simplify]: Simplify (+ 0 0) into 0 14.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 14.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 14.406 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* b d)) (/ 1 (* a c))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in a 14.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 14.406 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 14.406 * [taylor]: Taking taylor expansion of (* b d) in a 14.406 * [taylor]: Taking taylor expansion of b in a 14.406 * [backup-simplify]: Simplify b into b 14.406 * [taylor]: Taking taylor expansion of d in a 14.406 * [backup-simplify]: Simplify d into d 14.406 * [backup-simplify]: Simplify (* b d) into (* b d) 14.406 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 14.406 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 14.406 * [taylor]: Taking taylor expansion of (* a c) in a 14.406 * [taylor]: Taking taylor expansion of a in a 14.406 * [backup-simplify]: Simplify 0 into 0 14.407 * [backup-simplify]: Simplify 1 into 1 14.407 * [taylor]: Taking taylor expansion of c in a 14.407 * [backup-simplify]: Simplify c into c 14.407 * [backup-simplify]: Simplify (* 0 c) into 0 14.407 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 14.407 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 14.407 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in a 14.407 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in a 14.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in a 14.407 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in a 14.407 * [taylor]: Taking taylor expansion of (pow c 2) in a 14.407 * [taylor]: Taking taylor expansion of c in a 14.407 * [backup-simplify]: Simplify c into c 14.407 * [backup-simplify]: Simplify (* c c) into (pow c 2) 14.407 * [backup-simplify]: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) 14.407 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in a 14.407 * [taylor]: Taking taylor expansion of (pow d 2) in a 14.407 * [taylor]: Taking taylor expansion of d in a 14.407 * [backup-simplify]: Simplify d into d 14.407 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.407 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 14.407 * [backup-simplify]: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 14.407 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 14.408 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) 14.408 * [backup-simplify]: Simplify (+ (* c 0) (* 0 c)) into 0 14.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 14.408 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 14.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 14.408 * [backup-simplify]: Simplify (+ 0 0) into 0 14.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 14.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 14.409 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 14.409 * [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)) 14.409 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c 14.409 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 14.409 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 14.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 14.409 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 14.409 * [taylor]: Taking taylor expansion of (pow c 2) in c 14.409 * [taylor]: Taking taylor expansion of c in c 14.409 * [backup-simplify]: Simplify 0 into 0 14.409 * [backup-simplify]: Simplify 1 into 1 14.409 * [backup-simplify]: Simplify (* 1 1) into 1 14.409 * [backup-simplify]: Simplify (/ 1 1) into 1 14.409 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 14.409 * [taylor]: Taking taylor expansion of (pow d 2) in c 14.409 * [taylor]: Taking taylor expansion of d in c 14.409 * [backup-simplify]: Simplify d into d 14.410 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.410 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 14.410 * [backup-simplify]: Simplify (+ 1 0) into 1 14.410 * [backup-simplify]: Simplify (/ 1 1) into 1 14.410 * [backup-simplify]: Simplify (sqrt 1) into 1 14.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.411 * [backup-simplify]: Simplify (+ 0 0) into 0 14.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.412 * [taylor]: Taking taylor expansion of (/ 1 c) in c 14.412 * [taylor]: Taking taylor expansion of c in c 14.412 * [backup-simplify]: Simplify 0 into 0 14.412 * [backup-simplify]: Simplify 1 into 1 14.413 * [backup-simplify]: Simplify (/ 1 1) into 1 14.413 * [backup-simplify]: Simplify (* 1 1) into 1 14.413 * [taylor]: Taking taylor expansion of 1 in b 14.413 * [backup-simplify]: Simplify 1 into 1 14.413 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 14.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 14.414 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 14.414 * [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)))))) 14.414 * [taylor]: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c 14.414 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 14.414 * [taylor]: Taking taylor expansion of (* b d) in c 14.414 * [taylor]: Taking taylor expansion of b in c 14.414 * [backup-simplify]: Simplify b into b 14.414 * [taylor]: Taking taylor expansion of d in c 14.414 * [backup-simplify]: Simplify d into d 14.414 * [backup-simplify]: Simplify (* b d) into (* b d) 14.414 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 14.414 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c 14.414 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c 14.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c 14.414 * [taylor]: Taking taylor expansion of (/ 1 (pow c 2)) in c 14.414 * [taylor]: Taking taylor expansion of (pow c 2) in c 14.414 * [taylor]: Taking taylor expansion of c in c 14.414 * [backup-simplify]: Simplify 0 into 0 14.414 * [backup-simplify]: Simplify 1 into 1 14.414 * [backup-simplify]: Simplify (* 1 1) into 1 14.415 * [backup-simplify]: Simplify (/ 1 1) into 1 14.415 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in c 14.415 * [taylor]: Taking taylor expansion of (pow d 2) in c 14.415 * [taylor]: Taking taylor expansion of d in c 14.415 * [backup-simplify]: Simplify d into d 14.415 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.415 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 14.415 * [backup-simplify]: Simplify (+ 1 0) into 1 14.416 * [backup-simplify]: Simplify (/ 1 1) into 1 14.416 * [backup-simplify]: Simplify (sqrt 1) into 1 14.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.417 * [backup-simplify]: Simplify (+ 0 0) into 0 14.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.419 * [taylor]: Taking taylor expansion of 0 in b 14.419 * [backup-simplify]: Simplify 0 into 0 14.419 * [taylor]: Taking taylor expansion of 1 in d 14.419 * [backup-simplify]: Simplify 1 into 1 14.419 * [backup-simplify]: Simplify 1 into 1 14.419 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 14.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 14.420 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 14.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 14.420 * [backup-simplify]: Simplify (+ 0 0) into 0 14.420 * [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 14.421 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 14.421 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 14.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 14.422 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 14.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 14.422 * [backup-simplify]: Simplify (+ 0 0) into 0 14.422 * [backup-simplify]: Simplify (+ (* (/ 1 c) 0) (+ (* (/ 1 (* b d)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 14.422 * [taylor]: Taking taylor expansion of 0 in c 14.422 * [backup-simplify]: Simplify 0 into 0 14.422 * [taylor]: Taking taylor expansion of 0 in b 14.422 * [backup-simplify]: Simplify 0 into 0 14.422 * [backup-simplify]: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d)) 14.422 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 14.422 * [taylor]: Taking taylor expansion of (* b d) in b 14.422 * [taylor]: Taking taylor expansion of b in b 14.422 * [backup-simplify]: Simplify 0 into 0 14.422 * [backup-simplify]: Simplify 1 into 1 14.422 * [taylor]: Taking taylor expansion of d in b 14.422 * [backup-simplify]: Simplify d into d 14.423 * [backup-simplify]: Simplify (* 0 d) into 0 14.423 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 14.423 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 14.423 * [taylor]: Taking taylor expansion of (/ 1 d) in d 14.423 * [taylor]: Taking taylor expansion of d in d 14.423 * [backup-simplify]: Simplify 0 into 0 14.423 * [backup-simplify]: Simplify 1 into 1 14.423 * [backup-simplify]: Simplify (/ 1 1) into 1 14.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.424 * [backup-simplify]: Simplify 0 into 0 14.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.425 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) 14.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) 14.427 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2)) 14.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2)))) 14.428 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b 14.428 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b 14.428 * [taylor]: Taking taylor expansion of 1/2 in b 14.428 * [backup-simplify]: Simplify 1/2 into 1/2 14.428 * [taylor]: Taking taylor expansion of (/ 1 (pow d 2)) in b 14.428 * [taylor]: Taking taylor expansion of (pow d 2) in b 14.428 * [taylor]: Taking taylor expansion of d in b 14.428 * [backup-simplify]: Simplify d into d 14.428 * [backup-simplify]: Simplify (* d d) into (pow d 2) 14.428 * [backup-simplify]: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) 14.429 * [taylor]: Taking taylor expansion of 0 in d 14.429 * [backup-simplify]: Simplify 0 into 0 14.429 * [backup-simplify]: Simplify 0 into 0 14.429 * [taylor]: Taking taylor expansion of 0 in d 14.429 * [backup-simplify]: Simplify 0 into 0 14.429 * [backup-simplify]: Simplify 0 into 0 14.429 * [backup-simplify]: Simplify 0 into 0 14.430 * [backup-simplify]: Simplify (+ (* c 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))) into 0 14.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 14.431 * [backup-simplify]: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 14.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 14.431 * [backup-simplify]: Simplify (+ 0 0) into 0 14.432 * [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 14.433 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 14.434 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 14.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 14.435 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 14.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 14.436 * [backup-simplify]: Simplify (+ 0 0) into 0 14.437 * [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 14.437 * [taylor]: Taking taylor expansion of 0 in c 14.437 * [backup-simplify]: Simplify 0 into 0 14.437 * [taylor]: Taking taylor expansion of 0 in b 14.437 * [backup-simplify]: Simplify 0 into 0 14.437 * [taylor]: Taking taylor expansion of 0 in b 14.437 * [backup-simplify]: Simplify 0 into 0 14.437 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 14.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 14.438 * [backup-simplify]: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0 14.438 * [taylor]: Taking taylor expansion of 0 in b 14.438 * [backup-simplify]: Simplify 0 into 0 14.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.441 * [backup-simplify]: Simplify (+ (* d 0) (* 0 d)) into 0 14.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 14.441 * [backup-simplify]: Simplify (+ 0 0) into 0 14.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 14.443 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0 14.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0 14.445 * [taylor]: Taking taylor expansion of 0 in b 14.445 * [backup-simplify]: Simplify 0 into 0 14.445 * [taylor]: Taking taylor expansion of 0 in d 14.445 * [backup-simplify]: Simplify 0 into 0 14.445 * [backup-simplify]: Simplify 0 into 0 14.446 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 14.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 14.446 * [taylor]: Taking taylor expansion of 0 in d 14.446 * [backup-simplify]: Simplify 0 into 0 14.446 * [backup-simplify]: Simplify 0 into 0 14.446 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- a))))))) into (* -1 a) 14.446 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 14.446 * [backup-simplify]: Simplify (+ (* a c) (* b d)) into (+ (* a c) (* b d)) 14.446 * [approximate]: Taking taylor expansion of (+ (* a c) (* b d)) in (a c b d) around 0 14.446 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in d 14.446 * [taylor]: Taking taylor expansion of (* a c) in d 14.446 * [taylor]: Taking taylor expansion of a in d 14.446 * [backup-simplify]: Simplify a into a 14.446 * [taylor]: Taking taylor expansion of c in d 14.446 * [backup-simplify]: Simplify c into c 14.447 * [taylor]: Taking taylor expansion of (* b d) in d 14.447 * [taylor]: Taking taylor expansion of b in d 14.447 * [backup-simplify]: Simplify b into b 14.447 * [taylor]: Taking taylor expansion of d in d 14.447 * [backup-simplify]: Simplify 0 into 0 14.447 * [backup-simplify]: Simplify 1 into 1 14.447 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in b 14.447 * [taylor]: Taking taylor expansion of (* a c) in b 14.447 * [taylor]: Taking taylor expansion of a in b 14.447 * [backup-simplify]: Simplify a into a 14.447 * [taylor]: Taking taylor expansion of c in b 14.447 * [backup-simplify]: Simplify c into c 14.447 * [taylor]: Taking taylor expansion of (* b d) in b 14.447 * [taylor]: Taking taylor expansion of b in b 14.447 * [backup-simplify]: Simplify 0 into 0 14.447 * [backup-simplify]: Simplify 1 into 1 14.447 * [taylor]: Taking taylor expansion of d in b 14.447 * [backup-simplify]: Simplify d into d 14.447 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in c 14.447 * [taylor]: Taking taylor expansion of (* a c) in c 14.447 * [taylor]: Taking taylor expansion of a in c 14.447 * [backup-simplify]: Simplify a into a 14.447 * [taylor]: Taking taylor expansion of c in c 14.447 * [backup-simplify]: Simplify 0 into 0 14.447 * [backup-simplify]: Simplify 1 into 1 14.447 * [taylor]: Taking taylor expansion of (* b d) in c 14.447 * [taylor]: Taking taylor expansion of b in c 14.447 * [backup-simplify]: Simplify b into b 14.447 * [taylor]: Taking taylor expansion of d in c 14.447 * [backup-simplify]: Simplify d into d 14.447 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 14.447 * [taylor]: Taking taylor expansion of (* a c) in a 14.447 * [taylor]: Taking taylor expansion of a in a 14.447 * [backup-simplify]: Simplify 0 into 0 14.447 * [backup-simplify]: Simplify 1 into 1 14.447 * [taylor]: Taking taylor expansion of c in a 14.447 * [backup-simplify]: Simplify c into c 14.447 * [taylor]: Taking taylor expansion of (* b d) in a 14.447 * [taylor]: Taking taylor expansion of b in a 14.447 * [backup-simplify]: Simplify b into b 14.447 * [taylor]: Taking taylor expansion of d in a 14.448 * [backup-simplify]: Simplify d into d 14.448 * [taylor]: Taking taylor expansion of (+ (* a c) (* b d)) in a 14.448 * [taylor]: Taking taylor expansion of (* a c) in a 14.448 * [taylor]: Taking taylor expansion of a in a 14.448 * [backup-simplify]: Simplify 0 into 0 14.448 * [backup-simplify]: Simplify 1 into 1 14.448 * [taylor]: Taking taylor expansion of c in a 14.448 * [backup-simplify]: Simplify c into c 14.448 * [taylor]: Taking taylor expansion of (* b d) in a 14.448 * [taylor]: Taking taylor expansion of b in a 14.448 * [backup-simplify]: Simplify b into b 14.448 * [taylor]: Taking taylor expansion of d in a 14.448 * [backup-simplify]: Simplify d into d 14.448 * [backup-simplify]: Simplify (* 0 c) into 0 14.448 * [backup-simplify]: Simplify (* b d) into (* b d) 14.448 * [backup-simplify]: Simplify (+ 0 (* b d)) into (* b d) 14.448 * [taylor]: Taking taylor expansion of (* b d) in c 14.448 * [taylor]: Taking taylor expansion of b in c 14.448 * [backup-simplify]: Simplify b into b 14.448 * [taylor]: Taking taylor expansion of d in c 14.448 * [backup-simplify]: Simplify d into d 14.448 * [backup-simplify]: Simplify (* b d) into (* b d) 14.448 * [taylor]: Taking taylor expansion of (* b d) in b 14.448 * [taylor]: Taking taylor expansion of b in b 14.448 * [backup-simplify]: Simplify 0 into 0 14.448 * [backup-simplify]: Simplify 1 into 1 14.448 * [taylor]: Taking taylor expansion of d in b 14.448 * [backup-simplify]: Simplify d into d 14.449 * [backup-simplify]: Simplify (* 0 d) into 0 14.449 * [taylor]: Taking taylor expansion of 0 in d 14.449 * [backup-simplify]: Simplify 0 into 0 14.449 * [backup-simplify]: Simplify 0 into 0 14.449 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 14.449 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 14.449 * [backup-simplify]: Simplify (+ c 0) into c 14.449 * [taylor]: Taking taylor expansion of c in c 14.449 * [backup-simplify]: Simplify 0 into 0 14.449 * [backup-simplify]: Simplify 1 into 1 14.450 * [taylor]: Taking taylor expansion of 0 in b 14.450 * [backup-simplify]: Simplify 0 into 0 14.450 * [taylor]: Taking taylor expansion of 0 in d 14.450 * [backup-simplify]: Simplify 0 into 0 14.450 * [backup-simplify]: Simplify 0 into 0 14.450 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 14.450 * [taylor]: Taking taylor expansion of 0 in b 14.450 * [backup-simplify]: Simplify 0 into 0 14.450 * [taylor]: Taking taylor expansion of 0 in d 14.450 * [backup-simplify]: Simplify 0 into 0 14.450 * [backup-simplify]: Simplify 0 into 0 14.450 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 14.450 * [taylor]: Taking taylor expansion of d in d 14.450 * [backup-simplify]: Simplify 0 into 0 14.450 * [backup-simplify]: Simplify 1 into 1 14.450 * [backup-simplify]: Simplify 0 into 0 14.451 * [backup-simplify]: Simplify 0 into 0 14.451 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 14.452 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 14.452 * [backup-simplify]: Simplify (+ 0 0) into 0 14.452 * [taylor]: Taking taylor expansion of 0 in c 14.452 * [backup-simplify]: Simplify 0 into 0 14.452 * [taylor]: Taking taylor expansion of 0 in b 14.452 * [backup-simplify]: Simplify 0 into 0 14.452 * [taylor]: Taking taylor expansion of 0 in d 14.452 * [backup-simplify]: Simplify 0 into 0 14.452 * [backup-simplify]: Simplify 0 into 0 14.452 * [backup-simplify]: Simplify 0 into 0 14.453 * [backup-simplify]: Simplify (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) into (+ (/ 1 (* b d)) (/ 1 (* a c))) 14.453 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0 14.453 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 14.453 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 14.453 * [taylor]: Taking taylor expansion of (* b d) in d 14.453 * [taylor]: Taking taylor expansion of b in d 14.453 * [backup-simplify]: Simplify b into b 14.453 * [taylor]: Taking taylor expansion of d in d 14.453 * [backup-simplify]: Simplify 0 into 0 14.453 * [backup-simplify]: Simplify 1 into 1 14.453 * [backup-simplify]: Simplify (* b 0) into 0 14.453 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 14.453 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 14.454 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 14.454 * [taylor]: Taking taylor expansion of (* a c) in d 14.454 * [taylor]: Taking taylor expansion of a in d 14.454 * [backup-simplify]: Simplify a into a 14.454 * [taylor]: Taking taylor expansion of c in d 14.454 * [backup-simplify]: Simplify c into c 14.454 * [backup-simplify]: Simplify (* a c) into (* a c) 14.454 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 14.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 14.454 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 14.454 * [taylor]: Taking taylor expansion of (* b d) in b 14.454 * [taylor]: Taking taylor expansion of b in b 14.454 * [backup-simplify]: Simplify 0 into 0 14.454 * [backup-simplify]: Simplify 1 into 1 14.454 * [taylor]: Taking taylor expansion of d in b 14.454 * [backup-simplify]: Simplify d into d 14.454 * [backup-simplify]: Simplify (* 0 d) into 0 14.454 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 14.454 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 14.455 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 14.455 * [taylor]: Taking taylor expansion of (* a c) in b 14.455 * [taylor]: Taking taylor expansion of a in b 14.455 * [backup-simplify]: Simplify a into a 14.455 * [taylor]: Taking taylor expansion of c in b 14.455 * [backup-simplify]: Simplify c into c 14.455 * [backup-simplify]: Simplify (* a c) into (* a c) 14.455 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 14.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 14.455 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 14.455 * [taylor]: Taking taylor expansion of (* b d) in c 14.455 * [taylor]: Taking taylor expansion of b in c 14.455 * [backup-simplify]: Simplify b into b 14.455 * [taylor]: Taking taylor expansion of d in c 14.455 * [backup-simplify]: Simplify d into d 14.455 * [backup-simplify]: Simplify (* b d) into (* b d) 14.455 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 14.455 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 14.455 * [taylor]: Taking taylor expansion of (* a c) in c 14.455 * [taylor]: Taking taylor expansion of a in c 14.455 * [backup-simplify]: Simplify a into a 14.455 * [taylor]: Taking taylor expansion of c in c 14.455 * [backup-simplify]: Simplify 0 into 0 14.455 * [backup-simplify]: Simplify 1 into 1 14.455 * [backup-simplify]: Simplify (* a 0) into 0 14.456 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 14.456 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 14.456 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 14.456 * [taylor]: Taking taylor expansion of (* b d) in a 14.456 * [taylor]: Taking taylor expansion of b in a 14.456 * [backup-simplify]: Simplify b into b 14.456 * [taylor]: Taking taylor expansion of d in a 14.456 * [backup-simplify]: Simplify d into d 14.456 * [backup-simplify]: Simplify (* b d) into (* b d) 14.456 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 14.456 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 14.456 * [taylor]: Taking taylor expansion of (* a c) in a 14.456 * [taylor]: Taking taylor expansion of a in a 14.456 * [backup-simplify]: Simplify 0 into 0 14.456 * [backup-simplify]: Simplify 1 into 1 14.456 * [taylor]: Taking taylor expansion of c in a 14.456 * [backup-simplify]: Simplify c into c 14.456 * [backup-simplify]: Simplify (* 0 c) into 0 14.457 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 14.457 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 14.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 14.457 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 14.457 * [taylor]: Taking taylor expansion of (* b d) in a 14.457 * [taylor]: Taking taylor expansion of b in a 14.457 * [backup-simplify]: Simplify b into b 14.457 * [taylor]: Taking taylor expansion of d in a 14.457 * [backup-simplify]: Simplify d into d 14.457 * [backup-simplify]: Simplify (* b d) into (* b d) 14.457 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 14.457 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 14.457 * [taylor]: Taking taylor expansion of (* a c) in a 14.457 * [taylor]: Taking taylor expansion of a in a 14.457 * [backup-simplify]: Simplify 0 into 0 14.457 * [backup-simplify]: Simplify 1 into 1 14.457 * [taylor]: Taking taylor expansion of c in a 14.457 * [backup-simplify]: Simplify c into c 14.457 * [backup-simplify]: Simplify (* 0 c) into 0 14.458 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 14.458 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 14.458 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 14.458 * [taylor]: Taking taylor expansion of (/ 1 c) in c 14.458 * [taylor]: Taking taylor expansion of c in c 14.458 * [backup-simplify]: Simplify 0 into 0 14.458 * [backup-simplify]: Simplify 1 into 1 14.458 * [backup-simplify]: Simplify (/ 1 1) into 1 14.459 * [taylor]: Taking taylor expansion of 1 in b 14.459 * [backup-simplify]: Simplify 1 into 1 14.459 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 14.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 14.460 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 14.460 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 14.460 * [taylor]: Taking taylor expansion of (* b d) in c 14.460 * [taylor]: Taking taylor expansion of b in c 14.460 * [backup-simplify]: Simplify b into b 14.460 * [taylor]: Taking taylor expansion of d in c 14.460 * [backup-simplify]: Simplify d into d 14.460 * [backup-simplify]: Simplify (* b d) into (* b d) 14.460 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 14.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.461 * [taylor]: Taking taylor expansion of 0 in b 14.461 * [backup-simplify]: Simplify 0 into 0 14.461 * [taylor]: Taking taylor expansion of 1 in d 14.461 * [backup-simplify]: Simplify 1 into 1 14.461 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 14.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 14.462 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 14.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 14.463 * [backup-simplify]: Simplify (+ 0 0) into 0 14.463 * [taylor]: Taking taylor expansion of 0 in c 14.463 * [backup-simplify]: Simplify 0 into 0 14.463 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 14.463 * [taylor]: Taking taylor expansion of (* b d) in b 14.463 * [taylor]: Taking taylor expansion of b in b 14.463 * [backup-simplify]: Simplify 0 into 0 14.463 * [backup-simplify]: Simplify 1 into 1 14.463 * [taylor]: Taking taylor expansion of d in b 14.463 * [backup-simplify]: Simplify d into d 14.463 * [backup-simplify]: Simplify (* 0 d) into 0 14.464 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 14.464 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 14.464 * [taylor]: Taking taylor expansion of (/ 1 d) in d 14.464 * [taylor]: Taking taylor expansion of d in d 14.464 * [backup-simplify]: Simplify 0 into 0 14.464 * [backup-simplify]: Simplify 1 into 1 14.464 * [backup-simplify]: Simplify (/ 1 1) into 1 14.464 * [backup-simplify]: Simplify 1 into 1 14.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.465 * [taylor]: Taking taylor expansion of 0 in b 14.465 * [backup-simplify]: Simplify 0 into 0 14.465 * [taylor]: Taking taylor expansion of 0 in d 14.465 * [backup-simplify]: Simplify 0 into 0 14.465 * [taylor]: Taking taylor expansion of 0 in d 14.465 * [backup-simplify]: Simplify 0 into 0 14.465 * [backup-simplify]: Simplify 1 into 1 14.466 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 14.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 14.468 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 14.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 14.468 * [backup-simplify]: Simplify (+ 0 0) into 0 14.468 * [taylor]: Taking taylor expansion of 0 in c 14.468 * [backup-simplify]: Simplify 0 into 0 14.468 * [taylor]: Taking taylor expansion of 0 in b 14.468 * [backup-simplify]: Simplify 0 into 0 14.469 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 14.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 14.469 * [taylor]: Taking taylor expansion of 0 in b 14.469 * [backup-simplify]: Simplify 0 into 0 14.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.470 * [taylor]: Taking taylor expansion of 0 in b 14.470 * [backup-simplify]: Simplify 0 into 0 14.471 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 14.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 14.471 * [taylor]: Taking taylor expansion of 0 in d 14.471 * [backup-simplify]: Simplify 0 into 0 14.471 * [taylor]: Taking taylor expansion of 0 in d 14.471 * [backup-simplify]: Simplify 0 into 0 14.471 * [taylor]: Taking taylor expansion of 0 in d 14.471 * [backup-simplify]: Simplify 0 into 0 14.471 * [taylor]: Taking taylor expansion of 0 in d 14.471 * [backup-simplify]: Simplify 0 into 0 14.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.472 * [backup-simplify]: Simplify 0 into 0 14.472 * [backup-simplify]: Simplify 0 into 0 14.472 * [backup-simplify]: Simplify 0 into 0 14.472 * [backup-simplify]: Simplify 0 into 0 14.473 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 14.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 14.475 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0 14.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 14.476 * [backup-simplify]: Simplify (+ 0 0) into 0 14.476 * [taylor]: Taking taylor expansion of 0 in c 14.476 * [backup-simplify]: Simplify 0 into 0 14.476 * [taylor]: Taking taylor expansion of 0 in b 14.476 * [backup-simplify]: Simplify 0 into 0 14.476 * [taylor]: Taking taylor expansion of 0 in b 14.476 * [backup-simplify]: Simplify 0 into 0 14.476 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 14.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 14.477 * [taylor]: Taking taylor expansion of 0 in b 14.477 * [backup-simplify]: Simplify 0 into 0 14.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.482 * [taylor]: Taking taylor expansion of 0 in b 14.482 * [backup-simplify]: Simplify 0 into 0 14.482 * [taylor]: Taking taylor expansion of 0 in d 14.482 * [backup-simplify]: Simplify 0 into 0 14.482 * [taylor]: Taking taylor expansion of 0 in d 14.482 * [backup-simplify]: Simplify 0 into 0 14.482 * [taylor]: Taking taylor expansion of 0 in d 14.482 * [backup-simplify]: Simplify 0 into 0 14.484 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 14.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 14.484 * [taylor]: Taking taylor expansion of 0 in d 14.484 * [backup-simplify]: Simplify 0 into 0 14.484 * [taylor]: Taking taylor expansion of 0 in d 14.484 * [backup-simplify]: Simplify 0 into 0 14.484 * [taylor]: Taking taylor expansion of 0 in d 14.484 * [backup-simplify]: Simplify 0 into 0 14.484 * [taylor]: Taking taylor expansion of 0 in d 14.484 * [backup-simplify]: Simplify 0 into 0 14.484 * [backup-simplify]: Simplify 0 into 0 14.484 * [backup-simplify]: Simplify 0 into 0 14.485 * [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)) 14.485 * [backup-simplify]: Simplify (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) into (+ (/ 1 (* b d)) (/ 1 (* a c))) 14.485 * [approximate]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in (a c b d) around 0 14.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in d 14.485 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in d 14.485 * [taylor]: Taking taylor expansion of (* b d) in d 14.486 * [taylor]: Taking taylor expansion of b in d 14.486 * [backup-simplify]: Simplify b into b 14.486 * [taylor]: Taking taylor expansion of d in d 14.486 * [backup-simplify]: Simplify 0 into 0 14.486 * [backup-simplify]: Simplify 1 into 1 14.486 * [backup-simplify]: Simplify (* b 0) into 0 14.486 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 14.486 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 14.486 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in d 14.486 * [taylor]: Taking taylor expansion of (* a c) in d 14.486 * [taylor]: Taking taylor expansion of a in d 14.486 * [backup-simplify]: Simplify a into a 14.486 * [taylor]: Taking taylor expansion of c in d 14.486 * [backup-simplify]: Simplify c into c 14.486 * [backup-simplify]: Simplify (* a c) into (* a c) 14.486 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 14.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in b 14.486 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 14.487 * [taylor]: Taking taylor expansion of (* b d) in b 14.487 * [taylor]: Taking taylor expansion of b in b 14.487 * [backup-simplify]: Simplify 0 into 0 14.487 * [backup-simplify]: Simplify 1 into 1 14.487 * [taylor]: Taking taylor expansion of d in b 14.487 * [backup-simplify]: Simplify d into d 14.487 * [backup-simplify]: Simplify (* 0 d) into 0 14.487 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 14.487 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 14.487 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in b 14.487 * [taylor]: Taking taylor expansion of (* a c) in b 14.487 * [taylor]: Taking taylor expansion of a in b 14.487 * [backup-simplify]: Simplify a into a 14.487 * [taylor]: Taking taylor expansion of c in b 14.487 * [backup-simplify]: Simplify c into c 14.487 * [backup-simplify]: Simplify (* a c) into (* a c) 14.487 * [backup-simplify]: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) 14.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in c 14.488 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 14.488 * [taylor]: Taking taylor expansion of (* b d) in c 14.488 * [taylor]: Taking taylor expansion of b in c 14.488 * [backup-simplify]: Simplify b into b 14.488 * [taylor]: Taking taylor expansion of d in c 14.488 * [backup-simplify]: Simplify d into d 14.488 * [backup-simplify]: Simplify (* b d) into (* b d) 14.488 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 14.488 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in c 14.488 * [taylor]: Taking taylor expansion of (* a c) in c 14.488 * [taylor]: Taking taylor expansion of a in c 14.488 * [backup-simplify]: Simplify a into a 14.488 * [taylor]: Taking taylor expansion of c in c 14.488 * [backup-simplify]: Simplify 0 into 0 14.488 * [backup-simplify]: Simplify 1 into 1 14.488 * [backup-simplify]: Simplify (* a 0) into 0 14.488 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 14.488 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 14.489 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 14.489 * [taylor]: Taking taylor expansion of (* b d) in a 14.489 * [taylor]: Taking taylor expansion of b in a 14.489 * [backup-simplify]: Simplify b into b 14.489 * [taylor]: Taking taylor expansion of d in a 14.489 * [backup-simplify]: Simplify d into d 14.489 * [backup-simplify]: Simplify (* b d) into (* b d) 14.489 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 14.489 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 14.489 * [taylor]: Taking taylor expansion of (* a c) in a 14.489 * [taylor]: Taking taylor expansion of a in a 14.489 * [backup-simplify]: Simplify 0 into 0 14.489 * [backup-simplify]: Simplify 1 into 1 14.489 * [taylor]: Taking taylor expansion of c in a 14.489 * [backup-simplify]: Simplify c into c 14.489 * [backup-simplify]: Simplify (* 0 c) into 0 14.489 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 14.489 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 14.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (* b d)) (/ 1 (* a c))) in a 14.490 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in a 14.490 * [taylor]: Taking taylor expansion of (* b d) in a 14.490 * [taylor]: Taking taylor expansion of b in a 14.490 * [backup-simplify]: Simplify b into b 14.490 * [taylor]: Taking taylor expansion of d in a 14.490 * [backup-simplify]: Simplify d into d 14.490 * [backup-simplify]: Simplify (* b d) into (* b d) 14.490 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 14.490 * [taylor]: Taking taylor expansion of (/ 1 (* a c)) in a 14.490 * [taylor]: Taking taylor expansion of (* a c) in a 14.490 * [taylor]: Taking taylor expansion of a in a 14.490 * [backup-simplify]: Simplify 0 into 0 14.490 * [backup-simplify]: Simplify 1 into 1 14.490 * [taylor]: Taking taylor expansion of c in a 14.490 * [backup-simplify]: Simplify c into c 14.490 * [backup-simplify]: Simplify (* 0 c) into 0 14.490 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 c)) into c 14.490 * [backup-simplify]: Simplify (/ 1 c) into (/ 1 c) 14.491 * [backup-simplify]: Simplify (+ 0 (/ 1 c)) into (/ 1 c) 14.491 * [taylor]: Taking taylor expansion of (/ 1 c) in c 14.491 * [taylor]: Taking taylor expansion of c in c 14.491 * [backup-simplify]: Simplify 0 into 0 14.491 * [backup-simplify]: Simplify 1 into 1 14.491 * [backup-simplify]: Simplify (/ 1 1) into 1 14.491 * [taylor]: Taking taylor expansion of 1 in b 14.491 * [backup-simplify]: Simplify 1 into 1 14.491 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 14.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 14.492 * [backup-simplify]: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) 14.492 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in c 14.492 * [taylor]: Taking taylor expansion of (* b d) in c 14.492 * [taylor]: Taking taylor expansion of b in c 14.492 * [backup-simplify]: Simplify b into b 14.492 * [taylor]: Taking taylor expansion of d in c 14.492 * [backup-simplify]: Simplify d into d 14.492 * [backup-simplify]: Simplify (* b d) into (* b d) 14.492 * [backup-simplify]: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) 14.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.492 * [taylor]: Taking taylor expansion of 0 in b 14.492 * [backup-simplify]: Simplify 0 into 0 14.492 * [taylor]: Taking taylor expansion of 1 in d 14.492 * [backup-simplify]: Simplify 1 into 1 14.492 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 14.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 14.494 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 c)))) into 0 14.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 14.494 * [backup-simplify]: Simplify (+ 0 0) into 0 14.494 * [taylor]: Taking taylor expansion of 0 in c 14.494 * [backup-simplify]: Simplify 0 into 0 14.494 * [taylor]: Taking taylor expansion of (/ 1 (* b d)) in b 14.494 * [taylor]: Taking taylor expansion of (* b d) in b 14.494 * [taylor]: Taking taylor expansion of b in b 14.494 * [backup-simplify]: Simplify 0 into 0 14.494 * [backup-simplify]: Simplify 1 into 1 14.494 * [taylor]: Taking taylor expansion of d in b 14.494 * [backup-simplify]: Simplify d into d 14.494 * [backup-simplify]: Simplify (* 0 d) into 0 14.495 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 d)) into d 14.495 * [backup-simplify]: Simplify (/ 1 d) into (/ 1 d) 14.495 * [taylor]: Taking taylor expansion of (/ 1 d) in d 14.495 * [taylor]: Taking taylor expansion of d in d 14.495 * [backup-simplify]: Simplify 0 into 0 14.495 * [backup-simplify]: Simplify 1 into 1 14.495 * [backup-simplify]: Simplify (/ 1 1) into 1 14.495 * [backup-simplify]: Simplify 1 into 1 14.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.496 * [taylor]: Taking taylor expansion of 0 in b 14.496 * [backup-simplify]: Simplify 0 into 0 14.496 * [taylor]: Taking taylor expansion of 0 in d 14.496 * [backup-simplify]: Simplify 0 into 0 14.496 * [taylor]: Taking taylor expansion of 0 in d 14.496 * [backup-simplify]: Simplify 0 into 0 14.496 * [backup-simplify]: Simplify 1 into 1 14.496 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 14.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 14.497 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 c))))) into 0 14.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 14.498 * [backup-simplify]: Simplify (+ 0 0) into 0 14.498 * [taylor]: Taking taylor expansion of 0 in c 14.498 * [backup-simplify]: Simplify 0 into 0 14.498 * [taylor]: Taking taylor expansion of 0 in b 14.498 * [backup-simplify]: Simplify 0 into 0 14.498 * [backup-simplify]: Simplify (+ (* b 0) (* 0 d)) into 0 14.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 14.498 * [taylor]: Taking taylor expansion of 0 in b 14.498 * [backup-simplify]: Simplify 0 into 0 14.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.498 * [taylor]: Taking taylor expansion of 0 in b 14.498 * [backup-simplify]: Simplify 0 into 0 14.499 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 14.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 14.499 * [taylor]: Taking taylor expansion of 0 in d 14.499 * [backup-simplify]: Simplify 0 into 0 14.499 * [taylor]: Taking taylor expansion of 0 in d 14.499 * [backup-simplify]: Simplify 0 into 0 14.499 * [taylor]: Taking taylor expansion of 0 in d 14.499 * [backup-simplify]: Simplify 0 into 0 14.499 * [taylor]: Taking taylor expansion of 0 in d 14.499 * [backup-simplify]: Simplify 0 into 0 14.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.500 * [backup-simplify]: Simplify 0 into 0 14.500 * [backup-simplify]: Simplify 0 into 0 14.500 * [backup-simplify]: Simplify 0 into 0 14.500 * [backup-simplify]: Simplify 0 into 0 14.500 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 14.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 14.502 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 c)))))) into 0 14.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 14.502 * [backup-simplify]: Simplify (+ 0 0) into 0 14.502 * [taylor]: Taking taylor expansion of 0 in c 14.502 * [backup-simplify]: Simplify 0 into 0 14.502 * [taylor]: Taking taylor expansion of 0 in b 14.502 * [backup-simplify]: Simplify 0 into 0 14.502 * [taylor]: Taking taylor expansion of 0 in b 14.502 * [backup-simplify]: Simplify 0 into 0 14.502 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 14.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 14.503 * [taylor]: Taking taylor expansion of 0 in b 14.503 * [backup-simplify]: Simplify 0 into 0 14.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.503 * [taylor]: Taking taylor expansion of 0 in b 14.503 * [backup-simplify]: Simplify 0 into 0 14.503 * [taylor]: Taking taylor expansion of 0 in d 14.503 * [backup-simplify]: Simplify 0 into 0 14.503 * [taylor]: Taking taylor expansion of 0 in d 14.503 * [backup-simplify]: Simplify 0 into 0 14.503 * [taylor]: Taking taylor expansion of 0 in d 14.503 * [backup-simplify]: Simplify 0 into 0 14.504 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 14.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 14.504 * [taylor]: Taking taylor expansion of 0 in d 14.504 * [backup-simplify]: Simplify 0 into 0 14.504 * [taylor]: Taking taylor expansion of 0 in d 14.504 * [backup-simplify]: Simplify 0 into 0 14.504 * [taylor]: Taking taylor expansion of 0 in d 14.504 * [backup-simplify]: Simplify 0 into 0 14.504 * [taylor]: Taking taylor expansion of 0 in d 14.504 * [backup-simplify]: Simplify 0 into 0 14.504 * [backup-simplify]: Simplify 0 into 0 14.504 * [backup-simplify]: Simplify 0 into 0 14.505 * [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)) 14.505 * * * [progress]: simplifying candidates 14.505 * * * * [progress]: [ 1 / 100 ] simplifiying candidate # 14.505 * * * * [progress]: [ 2 / 100 ] simplifiying candidate # 14.505 * * * * [progress]: [ 3 / 100 ] simplifiying candidate # 14.505 * * * * [progress]: [ 4 / 100 ] simplifiying candidate # 14.505 * * * * [progress]: [ 5 / 100 ] simplifiying candidate # 14.505 * * * * [progress]: [ 6 / 100 ] simplifiying candidate # 14.505 * * * * [progress]: [ 7 / 100 ] simplifiying candidate # 14.505 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 14.505 * * [simplify]: iters left: 6 (8 enodes) 14.507 * * [simplify]: iters left: 5 (26 enodes) 14.511 * * [simplify]: Extracting #0: cost 1 inf + 0 14.511 * * [simplify]: Extracting #1: cost 4 inf + 0 14.511 * * [simplify]: Extracting #2: cost 7 inf + 0 14.511 * * [simplify]: Extracting #3: cost 10 inf + 0 14.511 * * [simplify]: Extracting #4: cost 14 inf + 0 14.511 * * [simplify]: Extracting #5: cost 10 inf + 84 14.511 * * [simplify]: Extracting #6: cost 8 inf + 166 14.511 * * [simplify]: Extracting #7: cost 4 inf + 854 14.511 * * [simplify]: Extracting #8: cost 1 inf + 1540 14.512 * * [simplify]: Extracting #9: cost 0 inf + 1782 14.512 * [simplify]: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) 14.512 * [simplify]: Simplified (2 2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) 14.512 * * * * [progress]: [ 8 / 100 ] simplifiying candidate # 14.512 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) 14.512 * * [simplify]: iters left: 6 (7 enodes) 14.514 * * [simplify]: iters left: 5 (22 enodes) 14.517 * * [simplify]: Extracting #0: cost 1 inf + 0 14.517 * * [simplify]: Extracting #1: cost 3 inf + 0 14.517 * * [simplify]: Extracting #2: cost 5 inf + 0 14.517 * * [simplify]: Extracting #3: cost 8 inf + 0 14.517 * * [simplify]: Extracting #4: cost 12 inf + 0 14.517 * * [simplify]: Extracting #5: cost 10 inf + 2 14.517 * * [simplify]: Extracting #6: cost 1 inf + 936 14.518 * * [simplify]: Extracting #7: cost 0 inf + 1138 14.518 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) 14.518 * [simplify]: Simplified (2 2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) 14.518 * * * * [progress]: [ 9 / 100 ] simplifiying candidate # 14.518 * [simplify]: Simplifying (sqrt 1) 14.518 * * [simplify]: iters left: 1 (2 enodes) 14.521 * * [simplify]: Extracting #0: cost 1 inf + 0 14.522 * * [simplify]: Extracting #1: cost 0 inf + 1 14.522 * [simplify]: Simplified to 1 14.522 * [simplify]: Simplified (2 2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (* 1 (sqrt (+ (* c c) (* d d))))))) 14.522 * * * * [progress]: [ 10 / 100 ] simplifiying candidate # 14.522 * [simplify]: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) 14.522 * * [simplify]: iters left: 6 (9 enodes) 14.527 * * [simplify]: iters left: 5 (45 enodes) 14.539 * * [simplify]: iters left: 4 (100 enodes) 14.572 * * [simplify]: iters left: 3 (201 enodes) 14.636 * * [simplify]: iters left: 2 (406 enodes) 14.788 * * [simplify]: Extracting #0: cost 1 inf + 0 14.788 * * [simplify]: Extracting #1: cost 3 inf + 0 14.788 * * [simplify]: Extracting #2: cost 6 inf + 0 14.788 * * [simplify]: Extracting #3: cost 62 inf + 0 14.789 * * [simplify]: Extracting #4: cost 166 inf + 460 14.792 * * [simplify]: Extracting #5: cost 131 inf + 12951 14.800 * * [simplify]: Extracting #6: cost 49 inf + 45746 14.810 * * [simplify]: Extracting #7: cost 1 inf + 66256 14.822 * * [simplify]: Extracting #8: cost 0 inf + 65919 14.832 * [simplify]: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) 14.833 * [simplify]: Simplified (2 2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d 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))))))))) 14.833 * * * * [progress]: [ 11 / 100 ] simplifiying candidate # 14.833 * [simplify]: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) 14.833 * * [simplify]: iters left: 6 (8 enodes) 14.838 * * [simplify]: iters left: 5 (37 enodes) 14.849 * * [simplify]: iters left: 4 (67 enodes) 14.861 * * [simplify]: iters left: 3 (123 enodes) 14.892 * * [simplify]: iters left: 2 (278 enodes) 15.044 * * [simplify]: Extracting #0: cost 1 inf + 0 15.044 * * [simplify]: Extracting #1: cost 3 inf + 0 15.045 * * [simplify]: Extracting #2: cost 50 inf + 0 15.045 * * [simplify]: Extracting #3: cost 150 inf + 0 15.046 * * [simplify]: Extracting #4: cost 194 inf + 1180 15.048 * * [simplify]: Extracting #5: cost 123 inf + 12421 15.055 * * [simplify]: Extracting #6: cost 12 inf + 33804 15.062 * * [simplify]: Extracting #7: cost 0 inf + 36129 15.074 * [simplify]: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) 15.075 * [simplify]: Simplified (2 2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))))))) 15.075 * * * * [progress]: [ 12 / 100 ] simplifiying candidate # 15.075 * [simplify]: Simplifying (+ (* c c) (* d d)) 15.075 * * [simplify]: iters left: 4 (5 enodes) 15.078 * * [simplify]: iters left: 3 (16 enodes) 15.082 * * [simplify]: Extracting #0: cost 1 inf + 0 15.083 * * [simplify]: Extracting #1: cost 4 inf + 0 15.083 * * [simplify]: Extracting #2: cost 8 inf + 0 15.083 * * [simplify]: Extracting #3: cost 4 inf + 84 15.083 * * [simplify]: Extracting #4: cost 0 inf + 410 15.083 * [simplify]: Simplified to (+ (* c c) (* d d)) 15.083 * [simplify]: Simplified (2 2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (pow (+ (* c c) (* d d)) (/ 1 2))))) 15.083 * * * * [progress]: [ 13 / 100 ] simplifiying candidate # 15.083 * * * * [progress]: [ 14 / 100 ] simplifiying candidate # 15.084 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d))) 15.084 * * [simplify]: iters left: 5 (6 enodes) 15.086 * * [simplify]: iters left: 4 (19 enodes) 15.091 * * [simplify]: Extracting #0: cost 1 inf + 0 15.091 * * [simplify]: Extracting #1: cost 3 inf + 0 15.091 * * [simplify]: Extracting #2: cost 6 inf + 0 15.092 * * [simplify]: Extracting #3: cost 10 inf + 0 15.092 * * [simplify]: Extracting #4: cost 6 inf + 84 15.092 * * [simplify]: Extracting #5: cost 0 inf + 734 15.092 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d))) 15.092 * [simplify]: Simplified (2 2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (fabs (sqrt (+ (* c c) (* d d))))))) 15.092 * * * * [progress]: [ 15 / 100 ] simplifiying candidate # 15.092 * * * * [progress]: [ 16 / 100 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* c c) (* d d))))))))> 15.093 * * * * [progress]: [ 17 / 100 ] simplifiying candidate # 15.093 * * * * [progress]: [ 18 / 100 ] simplifiying candidate # 15.093 * * * * [progress]: [ 19 / 100 ] simplifiying candidate # 15.093 * * * * [progress]: [ 20 / 100 ] simplifiying candidate # 15.093 * * * * [progress]: [ 21 / 100 ] simplifiying candidate # 15.093 * * * * [progress]: [ 22 / 100 ] simplifiying candidate # 15.093 * * * * [progress]: [ 23 / 100 ] simplifiying candidate # 15.093 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 15.093 * * [simplify]: iters left: 6 (8 enodes) 15.101 * * [simplify]: iters left: 5 (26 enodes) 15.107 * * [simplify]: Extracting #0: cost 1 inf + 0 15.107 * * [simplify]: Extracting #1: cost 4 inf + 0 15.107 * * [simplify]: Extracting #2: cost 7 inf + 0 15.108 * * [simplify]: Extracting #3: cost 10 inf + 0 15.108 * * [simplify]: Extracting #4: cost 14 inf + 0 15.108 * * [simplify]: Extracting #5: cost 10 inf + 84 15.108 * * [simplify]: Extracting #6: cost 8 inf + 166 15.108 * * [simplify]: Extracting #7: cost 4 inf + 854 15.109 * * [simplify]: Extracting #8: cost 1 inf + 1540 15.109 * * [simplify]: Extracting #9: cost 0 inf + 1782 15.110 * [simplify]: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) 15.110 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (* (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) 15.110 * * * * [progress]: [ 24 / 100 ] simplifiying candidate # 15.111 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) 15.111 * * [simplify]: iters left: 6 (7 enodes) 15.114 * * [simplify]: iters left: 5 (22 enodes) 15.120 * * [simplify]: Extracting #0: cost 1 inf + 0 15.120 * * [simplify]: Extracting #1: cost 3 inf + 0 15.120 * * [simplify]: Extracting #2: cost 5 inf + 0 15.120 * * [simplify]: Extracting #3: cost 8 inf + 0 15.120 * * [simplify]: Extracting #4: cost 12 inf + 0 15.120 * * [simplify]: Extracting #5: cost 10 inf + 2 15.120 * * [simplify]: Extracting #6: cost 1 inf + 936 15.121 * * [simplify]: Extracting #7: cost 0 inf + 1138 15.121 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) 15.121 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (* (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) 15.121 * * * * [progress]: [ 25 / 100 ] simplifiying candidate # 15.122 * [simplify]: Simplifying (sqrt 1) 15.122 * * [simplify]: iters left: 1 (2 enodes) 15.125 * * [simplify]: Extracting #0: cost 1 inf + 0 15.125 * * [simplify]: Extracting #1: cost 0 inf + 1 15.125 * [simplify]: Simplified to 1 15.125 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (* (/ 1 (* 1 (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) 15.125 * * * * [progress]: [ 26 / 100 ] simplifiying candidate # 15.125 * [simplify]: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) 15.125 * * [simplify]: iters left: 6 (9 enodes) 15.129 * * [simplify]: iters left: 5 (45 enodes) 15.140 * * [simplify]: iters left: 4 (100 enodes) 15.167 * * [simplify]: iters left: 3 (201 enodes) 15.232 * * [simplify]: iters left: 2 (406 enodes) 15.361 * * [simplify]: Extracting #0: cost 1 inf + 0 15.361 * * [simplify]: Extracting #1: cost 3 inf + 0 15.361 * * [simplify]: Extracting #2: cost 6 inf + 0 15.362 * * [simplify]: Extracting #3: cost 62 inf + 0 15.363 * * [simplify]: Extracting #4: cost 166 inf + 460 15.366 * * [simplify]: Extracting #5: cost 131 inf + 12951 15.373 * * [simplify]: Extracting #6: cost 49 inf + 45746 15.383 * * [simplify]: Extracting #7: cost 1 inf + 66256 15.394 * * [simplify]: Extracting #8: cost 0 inf + 65919 15.399 * [simplify]: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) 15.399 * [simplify]: Simplified (2 1 2 1) to (λ (a b c 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))))))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) 15.399 * * * * [progress]: [ 27 / 100 ] simplifiying candidate # 15.399 * [simplify]: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) 15.400 * * [simplify]: iters left: 6 (8 enodes) 15.402 * * [simplify]: iters left: 5 (37 enodes) 15.408 * * [simplify]: iters left: 4 (67 enodes) 15.425 * * [simplify]: iters left: 3 (123 enodes) 15.457 * * [simplify]: iters left: 2 (278 enodes) 15.578 * * [simplify]: Extracting #0: cost 1 inf + 0 15.578 * * [simplify]: Extracting #1: cost 3 inf + 0 15.578 * * [simplify]: Extracting #2: cost 50 inf + 0 15.579 * * [simplify]: Extracting #3: cost 150 inf + 0 15.580 * * [simplify]: Extracting #4: cost 194 inf + 1180 15.582 * * [simplify]: Extracting #5: cost 123 inf + 12421 15.589 * * [simplify]: Extracting #6: cost 12 inf + 33804 15.603 * * [simplify]: Extracting #7: cost 0 inf + 36129 15.618 * [simplify]: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) 15.618 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (* (/ 1 (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) 15.619 * * * * [progress]: [ 28 / 100 ] simplifiying candidate # 15.619 * [simplify]: Simplifying (+ (* c c) (* d d)) 15.619 * * [simplify]: iters left: 4 (5 enodes) 15.620 * * [simplify]: iters left: 3 (16 enodes) 15.623 * * [simplify]: Extracting #0: cost 1 inf + 0 15.623 * * [simplify]: Extracting #1: cost 4 inf + 0 15.623 * * [simplify]: Extracting #2: cost 8 inf + 0 15.623 * * [simplify]: Extracting #3: cost 4 inf + 84 15.623 * * [simplify]: Extracting #4: cost 0 inf + 410 15.623 * [simplify]: Simplified to (+ (* c c) (* d d)) 15.623 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (* (/ 1 (pow (+ (* c c) (* d d)) (/ 1 2))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) 15.623 * * * * [progress]: [ 29 / 100 ] simplifiying candidate # 15.623 * * * * [progress]: [ 30 / 100 ] simplifiying candidate # 15.623 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d))) 15.623 * * [simplify]: iters left: 5 (6 enodes) 15.625 * * [simplify]: iters left: 4 (19 enodes) 15.628 * * [simplify]: Extracting #0: cost 1 inf + 0 15.628 * * [simplify]: Extracting #1: cost 3 inf + 0 15.628 * * [simplify]: Extracting #2: cost 6 inf + 0 15.628 * * [simplify]: Extracting #3: cost 10 inf + 0 15.628 * * [simplify]: Extracting #4: cost 6 inf + 84 15.628 * * [simplify]: Extracting #5: cost 0 inf + 734 15.628 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d))) 15.628 * [simplify]: Simplified (2 1 2 1) to (λ (a b c d) (* (/ 1 (fabs (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) 15.628 * * * * [progress]: [ 31 / 100 ] simplifiying candidate # 15.628 * * * * [progress]: [ 32 / 100 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* c c) (* d d)))))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))> 15.628 * * * * [progress]: [ 33 / 100 ] simplifiying candidate # 15.628 * * * * [progress]: [ 34 / 100 ] simplifiying candidate # 15.628 * [simplify]: Simplifying (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* c c) (* d d))))) 15.628 * * [simplify]: iters left: 6 (14 enodes) 15.632 * * [simplify]: iters left: 5 (48 enodes) 15.638 * * [simplify]: iters left: 4 (51 enodes) 15.645 * * [simplify]: Extracting #0: cost 1 inf + 0 15.645 * * [simplify]: Extracting #1: cost 5 inf + 0 15.645 * * [simplify]: Extracting #2: cost 10 inf + 0 15.645 * * [simplify]: Extracting #3: cost 15 inf + 0 15.645 * * [simplify]: Extracting #4: cost 24 inf + 0 15.646 * * [simplify]: Extracting #5: cost 19 inf + 129 15.646 * * [simplify]: Extracting #6: cost 11 inf + 931 15.646 * * [simplify]: Extracting #7: cost 4 inf + 2236 15.651 * * [simplify]: Extracting #8: cost 0 inf + 3476 15.652 * [simplify]: Simplified to (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* c c) (* d d))))) 15.652 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (exp (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* c c) (* d d)))))))) 15.652 * * * * [progress]: [ 35 / 100 ] simplifiying candidate # 15.652 * * * * [progress]: [ 36 / 100 ] simplifiying candidate # 15.652 * * * * [progress]: [ 37 / 100 ] simplifiying candidate # 15.653 * [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))))) 15.653 * * [simplify]: iters left: 6 (16 enodes) 15.661 * * [simplify]: iters left: 5 (71 enodes) 15.692 * * [simplify]: iters left: 4 (220 enodes) 15.793 * * [simplify]: Extracting #0: cost 1 inf + 0 15.793 * * [simplify]: Extracting #1: cost 30 inf + 0 15.794 * * [simplify]: Extracting #2: cost 82 inf + 1 15.794 * * [simplify]: Extracting #3: cost 194 inf + 1 15.796 * * [simplify]: Extracting #4: cost 161 inf + 5363 15.807 * * [simplify]: Extracting #5: cost 29 inf + 35105 15.828 * * [simplify]: Extracting #6: cost 1 inf + 43538 15.850 * * [simplify]: Extracting #7: cost 0 inf + 43740 15.871 * [simplify]: Simplified to (/ (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (+ (* d d) (* c c)) (sqrt (+ (* d d) (* c c))))) 15.871 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (/ (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (+ (* d d) (* c c)) (sqrt (+ (* d d) (* c c)))))))) 15.871 * * * * [progress]: [ 38 / 100 ] simplifiying candidate # 15.871 * * * * [progress]: [ 39 / 100 ] simplifiying candidate # 15.871 * * * * [progress]: [ 40 / 100 ] simplifiying candidate # 15.871 * * * * [progress]: [ 41 / 100 ] simplifiying candidate # 15.871 * * * * [progress]: [ 42 / 100 ] simplifiying candidate # 15.872 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 15.872 * * [simplify]: iters left: 6 (16 enodes) 15.879 * * [simplify]: iters left: 5 (58 enodes) 15.891 * * [simplify]: iters left: 4 (73 enodes) 15.905 * * [simplify]: iters left: 3 (80 enodes) 15.918 * * [simplify]: iters left: 2 (83 enodes) 15.936 * * [simplify]: Extracting #0: cost 1 inf + 0 15.936 * * [simplify]: Extracting #1: cost 11 inf + 0 15.936 * * [simplify]: Extracting #2: cost 22 inf + 0 15.936 * * [simplify]: Extracting #3: cost 27 inf + 0 15.936 * * [simplify]: Extracting #4: cost 36 inf + 0 15.936 * * [simplify]: Extracting #5: cost 33 inf + 46 15.937 * * [simplify]: Extracting #6: cost 14 inf + 2774 15.938 * * [simplify]: Extracting #7: cost 2 inf + 8296 15.939 * * [simplify]: Extracting #8: cost 0 inf + 9224 15.941 * [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)))))) 15.941 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d 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)))))))) 15.941 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) 15.941 * * [simplify]: iters left: 6 (14 enodes) 15.945 * * [simplify]: iters left: 5 (46 enodes) 15.952 * * [simplify]: Extracting #0: cost 1 inf + 0 15.952 * * [simplify]: Extracting #1: cost 4 inf + 0 15.952 * * [simplify]: Extracting #2: cost 8 inf + 0 15.952 * * [simplify]: Extracting #3: cost 13 inf + 0 15.952 * * [simplify]: Extracting #4: cost 22 inf + 0 15.952 * * [simplify]: Extracting #5: cost 17 inf + 129 15.953 * * [simplify]: Extracting #6: cost 8 inf + 992 15.953 * * [simplify]: Extracting #7: cost 2 inf + 2366 15.953 * * [simplify]: Extracting #8: cost 0 inf + 3012 15.954 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) 15.954 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d)))))))) 15.954 * * * * [progress]: [ 43 / 100 ] simplifiying candidate # 15.954 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 15.954 * * [simplify]: iters left: 6 (16 enodes) 15.958 * * [simplify]: iters left: 5 (55 enodes) 15.966 * * [simplify]: iters left: 4 (59 enodes) 15.974 * * [simplify]: iters left: 3 (62 enodes) 15.990 * * [simplify]: Extracting #0: cost 1 inf + 0 15.990 * * [simplify]: Extracting #1: cost 7 inf + 0 15.991 * * [simplify]: Extracting #2: cost 15 inf + 0 15.991 * * [simplify]: Extracting #3: cost 21 inf + 0 15.991 * * [simplify]: Extracting #4: cost 30 inf + 0 15.991 * * [simplify]: Extracting #5: cost 26 inf + 87 15.992 * * [simplify]: Extracting #6: cost 9 inf + 2370 15.994 * * [simplify]: Extracting #7: cost 1 inf + 5596 15.996 * * [simplify]: Extracting #8: cost 0 inf + 6080 15.998 * [simplify]: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) 15.998 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d 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)))))))) 15.999 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) 15.999 * * [simplify]: iters left: 6 (14 enodes) 16.005 * * [simplify]: iters left: 5 (46 enodes) 16.017 * * [simplify]: Extracting #0: cost 1 inf + 0 16.018 * * [simplify]: Extracting #1: cost 4 inf + 0 16.018 * * [simplify]: Extracting #2: cost 8 inf + 0 16.018 * * [simplify]: Extracting #3: cost 13 inf + 0 16.018 * * [simplify]: Extracting #4: cost 22 inf + 0 16.018 * * [simplify]: Extracting #5: cost 17 inf + 129 16.018 * * [simplify]: Extracting #6: cost 8 inf + 992 16.019 * * [simplify]: Extracting #7: cost 2 inf + 2406 16.020 * * [simplify]: Extracting #8: cost 0 inf + 3092 16.021 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) 16.021 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d)))))))) 16.021 * * * * [progress]: [ 44 / 100 ] simplifiying candidate # 16.022 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 16.022 * * [simplify]: iters left: 6 (15 enodes) 16.029 * * [simplify]: iters left: 5 (51 enodes) 16.043 * * [simplify]: iters left: 4 (55 enodes) 16.058 * * [simplify]: iters left: 3 (58 enodes) 16.073 * * [simplify]: Extracting #0: cost 1 inf + 0 16.073 * * [simplify]: Extracting #1: cost 7 inf + 0 16.073 * * [simplify]: Extracting #2: cost 14 inf + 0 16.073 * * [simplify]: Extracting #3: cost 19 inf + 0 16.074 * * [simplify]: Extracting #4: cost 28 inf + 0 16.074 * * [simplify]: Extracting #5: cost 24 inf + 87 16.074 * * [simplify]: Extracting #6: cost 11 inf + 1518 16.075 * * [simplify]: Extracting #7: cost 1 inf + 4752 16.077 * * [simplify]: Extracting #8: cost 0 inf + 5196 16.079 * [simplify]: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) 16.079 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d 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)))))))) 16.079 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 16.079 * * [simplify]: iters left: 6 (14 enodes) 16.085 * * [simplify]: iters left: 5 (46 enodes) 16.097 * * [simplify]: Extracting #0: cost 1 inf + 0 16.098 * * [simplify]: Extracting #1: cost 4 inf + 0 16.098 * * [simplify]: Extracting #2: cost 8 inf + 0 16.098 * * [simplify]: Extracting #3: cost 13 inf + 0 16.098 * * [simplify]: Extracting #4: cost 22 inf + 0 16.098 * * [simplify]: Extracting #5: cost 17 inf + 129 16.098 * * [simplify]: Extracting #6: cost 8 inf + 992 16.099 * * [simplify]: Extracting #7: cost 2 inf + 2246 16.100 * * [simplify]: Extracting #8: cost 0 inf + 2852 16.101 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) 16.101 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d 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)))))))) 16.101 * * * * [progress]: [ 45 / 100 ] simplifiying candidate # 16.102 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) 16.102 * * [simplify]: iters left: 6 (12 enodes) 16.109 * * [simplify]: iters left: 5 (43 enodes) 16.122 * * [simplify]: iters left: 4 (49 enodes) 16.135 * * [simplify]: iters left: 3 (53 enodes) 16.151 * * [simplify]: iters left: 2 (54 enodes) 16.164 * * [simplify]: Extracting #0: cost 1 inf + 0 16.164 * * [simplify]: Extracting #1: cost 5 inf + 0 16.164 * * [simplify]: Extracting #2: cost 7 inf + 1 16.164 * * [simplify]: Extracting #3: cost 10 inf + 1 16.164 * * [simplify]: Extracting #4: cost 16 inf + 1 16.164 * * [simplify]: Extracting #5: cost 10 inf + 89 16.164 * * [simplify]: Extracting #6: cost 3 inf + 1073 16.165 * * [simplify]: Extracting #7: cost 0 inf + 1807 16.166 * [simplify]: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 16.166 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))))) 16.166 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) 16.166 * * [simplify]: iters left: 6 (13 enodes) 16.172 * * [simplify]: iters left: 5 (43 enodes) 16.183 * * [simplify]: Extracting #0: cost 1 inf + 0 16.184 * * [simplify]: Extracting #1: cost 4 inf + 0 16.184 * * [simplify]: Extracting #2: cost 8 inf + 0 16.184 * * [simplify]: Extracting #3: cost 14 inf + 0 16.184 * * [simplify]: Extracting #4: cost 22 inf + 0 16.184 * * [simplify]: Extracting #5: cost 17 inf + 45 16.184 * * [simplify]: Extracting #6: cost 10 inf + 537 16.185 * * [simplify]: Extracting #7: cost 4 inf + 1232 16.185 * * [simplify]: Extracting #8: cost 1 inf + 1964 16.186 * * [simplify]: Extracting #9: cost 0 inf + 2368 16.187 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) 16.187 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))))) 16.187 * * * * [progress]: [ 46 / 100 ] simplifiying candidate # 16.187 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 16.188 * * [simplify]: iters left: 6 (15 enodes) 16.194 * * [simplify]: iters left: 5 (51 enodes) 16.208 * * [simplify]: iters left: 4 (55 enodes) 16.223 * * [simplify]: iters left: 3 (58 enodes) 16.239 * * [simplify]: Extracting #0: cost 1 inf + 0 16.239 * * [simplify]: Extracting #1: cost 7 inf + 0 16.239 * * [simplify]: Extracting #2: cost 14 inf + 0 16.239 * * [simplify]: Extracting #3: cost 19 inf + 0 16.239 * * [simplify]: Extracting #4: cost 28 inf + 0 16.239 * * [simplify]: Extracting #5: cost 24 inf + 87 16.240 * * [simplify]: Extracting #6: cost 11 inf + 1518 16.241 * * [simplify]: Extracting #7: cost 1 inf + 4752 16.243 * * [simplify]: Extracting #8: cost 0 inf + 5196 16.244 * [simplify]: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) 16.245 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d 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)))))))) 16.245 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 16.245 * * [simplify]: iters left: 6 (14 enodes) 16.251 * * [simplify]: iters left: 5 (46 enodes) 16.264 * * [simplify]: Extracting #0: cost 1 inf + 0 16.264 * * [simplify]: Extracting #1: cost 4 inf + 0 16.264 * * [simplify]: Extracting #2: cost 8 inf + 0 16.264 * * [simplify]: Extracting #3: cost 13 inf + 0 16.264 * * [simplify]: Extracting #4: cost 22 inf + 0 16.264 * * [simplify]: Extracting #5: cost 17 inf + 129 16.264 * * [simplify]: Extracting #6: cost 8 inf + 992 16.265 * * [simplify]: Extracting #7: cost 2 inf + 2246 16.266 * * [simplify]: Extracting #8: cost 0 inf + 2852 16.267 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) 16.267 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d 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)))))))) 16.267 * * * * [progress]: [ 47 / 100 ] simplifiying candidate # 16.267 * [simplify]: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) 16.267 * * [simplify]: iters left: 6 (11 enodes) 16.270 * * [simplify]: iters left: 5 (38 enodes) 16.275 * * [simplify]: iters left: 4 (48 enodes) 16.283 * * [simplify]: iters left: 3 (49 enodes) 16.290 * * [simplify]: Extracting #0: cost 1 inf + 0 16.290 * * [simplify]: Extracting #1: cost 5 inf + 0 16.290 * * [simplify]: Extracting #2: cost 7 inf + 1 16.290 * * [simplify]: Extracting #3: cost 10 inf + 1 16.290 * * [simplify]: Extracting #4: cost 16 inf + 1 16.290 * * [simplify]: Extracting #5: cost 11 inf + 47 16.290 * * [simplify]: Extracting #6: cost 5 inf + 828 16.291 * * [simplify]: Extracting #7: cost 0 inf + 1807 16.291 * [simplify]: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 16.291 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))))) 16.291 * [simplify]: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) 16.292 * * [simplify]: iters left: 6 (13 enodes) 16.295 * * [simplify]: iters left: 5 (43 enodes) 16.306 * * [simplify]: Extracting #0: cost 1 inf + 0 16.306 * * [simplify]: Extracting #1: cost 4 inf + 0 16.306 * * [simplify]: Extracting #2: cost 8 inf + 0 16.306 * * [simplify]: Extracting #3: cost 14 inf + 0 16.306 * * [simplify]: Extracting #4: cost 22 inf + 0 16.307 * * [simplify]: Extracting #5: cost 17 inf + 45 16.307 * * [simplify]: Extracting #6: cost 10 inf + 537 16.307 * * [simplify]: Extracting #7: cost 4 inf + 1232 16.308 * * [simplify]: Extracting #8: cost 1 inf + 1964 16.309 * * [simplify]: Extracting #9: cost 0 inf + 2368 16.310 * [simplify]: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) 16.310 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))))) 16.310 * * * * [progress]: [ 48 / 100 ] simplifiying candidate # 16.310 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 16.311 * * [simplify]: iters left: 6 (15 enodes) 16.318 * * [simplify]: iters left: 5 (51 enodes) 16.331 * * [simplify]: iters left: 4 (53 enodes) 16.346 * * [simplify]: Extracting #0: cost 1 inf + 0 16.346 * * [simplify]: Extracting #1: cost 6 inf + 0 16.346 * * [simplify]: Extracting #2: cost 12 inf + 0 16.346 * * [simplify]: Extracting #3: cost 17 inf + 0 16.346 * * [simplify]: Extracting #4: cost 26 inf + 0 16.346 * * [simplify]: Extracting #5: cost 22 inf + 87 16.347 * * [simplify]: Extracting #6: cost 14 inf + 707 16.347 * * [simplify]: Extracting #7: cost 7 inf + 1842 16.348 * * [simplify]: Extracting #8: cost 0 inf + 4384 16.350 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 16.350 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d 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)))))))) 16.350 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) 16.350 * * [simplify]: iters left: 6 (14 enodes) 16.356 * * [simplify]: iters left: 5 (46 enodes) 16.369 * * [simplify]: Extracting #0: cost 1 inf + 0 16.369 * * [simplify]: Extracting #1: cost 4 inf + 0 16.369 * * [simplify]: Extracting #2: cost 8 inf + 0 16.369 * * [simplify]: Extracting #3: cost 13 inf + 0 16.369 * * [simplify]: Extracting #4: cost 22 inf + 0 16.369 * * [simplify]: Extracting #5: cost 17 inf + 129 16.369 * * [simplify]: Extracting #6: cost 8 inf + 912 16.370 * * [simplify]: Extracting #7: cost 2 inf + 2246 16.371 * * [simplify]: Extracting #8: cost 0 inf + 2852 16.372 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) 16.372 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d 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)))))))) 16.372 * * * * [progress]: [ 49 / 100 ] simplifiying candidate # 16.373 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 16.373 * * [simplify]: iters left: 6 (15 enodes) 16.379 * * [simplify]: iters left: 5 (50 enodes) 16.393 * * [simplify]: Extracting #0: cost 1 inf + 0 16.393 * * [simplify]: Extracting #1: cost 4 inf + 0 16.393 * * [simplify]: Extracting #2: cost 9 inf + 0 16.393 * * [simplify]: Extracting #3: cost 15 inf + 0 16.393 * * [simplify]: Extracting #4: cost 24 inf + 0 16.393 * * [simplify]: Extracting #5: cost 20 inf + 87 16.394 * * [simplify]: Extracting #6: cost 12 inf + 707 16.394 * * [simplify]: Extracting #7: cost 5 inf + 1842 16.395 * * [simplify]: Extracting #8: cost 0 inf + 3416 16.396 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) 16.396 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))))) 16.397 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) 16.397 * * [simplify]: iters left: 6 (14 enodes) 16.403 * * [simplify]: iters left: 5 (46 enodes) 16.416 * * [simplify]: Extracting #0: cost 1 inf + 0 16.416 * * [simplify]: Extracting #1: cost 4 inf + 0 16.416 * * [simplify]: Extracting #2: cost 8 inf + 0 16.416 * * [simplify]: Extracting #3: cost 13 inf + 0 16.416 * * [simplify]: Extracting #4: cost 22 inf + 0 16.416 * * [simplify]: Extracting #5: cost 17 inf + 129 16.416 * * [simplify]: Extracting #6: cost 8 inf + 912 16.417 * * [simplify]: Extracting #7: cost 2 inf + 2286 16.418 * * [simplify]: Extracting #8: cost 0 inf + 2932 16.419 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) 16.419 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d 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)))))))) 16.419 * * * * [progress]: [ 50 / 100 ] simplifiying candidate # 16.420 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 16.420 * * [simplify]: iters left: 6 (14 enodes) 16.427 * * [simplify]: iters left: 5 (46 enodes) 16.439 * * [simplify]: Extracting #0: cost 1 inf + 0 16.440 * * [simplify]: Extracting #1: cost 4 inf + 0 16.440 * * [simplify]: Extracting #2: cost 8 inf + 0 16.440 * * [simplify]: Extracting #3: cost 13 inf + 0 16.440 * * [simplify]: Extracting #4: cost 22 inf + 0 16.440 * * [simplify]: Extracting #5: cost 17 inf + 129 16.440 * * [simplify]: Extracting #6: cost 8 inf + 912 16.441 * * [simplify]: Extracting #7: cost 2 inf + 2126 16.442 * * [simplify]: Extracting #8: cost 0 inf + 2692 16.443 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) 16.443 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))))) 16.443 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 16.443 * * [simplify]: iters left: 6 (14 enodes) 16.450 * * [simplify]: iters left: 5 (46 enodes) 16.462 * * [simplify]: Extracting #0: cost 1 inf + 0 16.462 * * [simplify]: Extracting #1: cost 4 inf + 0 16.462 * * [simplify]: Extracting #2: cost 8 inf + 0 16.462 * * [simplify]: Extracting #3: cost 13 inf + 0 16.462 * * [simplify]: Extracting #4: cost 22 inf + 0 16.463 * * [simplify]: Extracting #5: cost 17 inf + 129 16.463 * * [simplify]: Extracting #6: cost 8 inf + 912 16.464 * * [simplify]: Extracting #7: cost 2 inf + 2126 16.465 * * [simplify]: Extracting #8: cost 0 inf + 2692 16.466 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) 16.466 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))))) 16.466 * * * * [progress]: [ 51 / 100 ] simplifiying candidate # 16.466 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) 16.466 * * [simplify]: iters left: 6 (11 enodes) 16.472 * * [simplify]: iters left: 5 (38 enodes) 16.484 * * [simplify]: iters left: 4 (40 enodes) 16.496 * * [simplify]: iters left: 3 (42 enodes) 16.502 * * [simplify]: Extracting #0: cost 1 inf + 0 16.502 * * [simplify]: Extracting #1: cost 4 inf + 0 16.503 * * [simplify]: Extracting #2: cost 6 inf + 1 16.503 * * [simplify]: Extracting #3: cost 12 inf + 1 16.503 * * [simplify]: Extracting #4: cost 7 inf + 47 16.503 * * [simplify]: Extracting #5: cost 0 inf + 749 16.503 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c))) 16.503 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))))) 16.503 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) 16.503 * * [simplify]: iters left: 6 (13 enodes) 16.506 * * [simplify]: iters left: 5 (43 enodes) 16.512 * * [simplify]: Extracting #0: cost 1 inf + 0 16.512 * * [simplify]: Extracting #1: cost 4 inf + 0 16.512 * * [simplify]: Extracting #2: cost 8 inf + 0 16.512 * * [simplify]: Extracting #3: cost 14 inf + 0 16.512 * * [simplify]: Extracting #4: cost 22 inf + 0 16.512 * * [simplify]: Extracting #5: cost 17 inf + 45 16.512 * * [simplify]: Extracting #6: cost 10 inf + 537 16.513 * * [simplify]: Extracting #7: cost 4 inf + 1192 16.513 * * [simplify]: Extracting #8: cost 1 inf + 1844 16.513 * * [simplify]: Extracting #9: cost 0 inf + 2208 16.514 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) 16.514 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))))) 16.514 * * * * [progress]: [ 52 / 100 ] simplifiying candidate # 16.514 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 16.514 * * [simplify]: iters left: 6 (14 enodes) 16.517 * * [simplify]: iters left: 5 (46 enodes) 16.523 * * [simplify]: Extracting #0: cost 1 inf + 0 16.523 * * [simplify]: Extracting #1: cost 4 inf + 0 16.523 * * [simplify]: Extracting #2: cost 8 inf + 0 16.523 * * [simplify]: Extracting #3: cost 13 inf + 0 16.524 * * [simplify]: Extracting #4: cost 22 inf + 0 16.524 * * [simplify]: Extracting #5: cost 17 inf + 129 16.524 * * [simplify]: Extracting #6: cost 8 inf + 912 16.524 * * [simplify]: Extracting #7: cost 2 inf + 2126 16.525 * * [simplify]: Extracting #8: cost 0 inf + 2692 16.525 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) 16.525 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))))) 16.525 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 16.525 * * [simplify]: iters left: 6 (14 enodes) 16.528 * * [simplify]: iters left: 5 (46 enodes) 16.540 * * [simplify]: Extracting #0: cost 1 inf + 0 16.540 * * [simplify]: Extracting #1: cost 4 inf + 0 16.540 * * [simplify]: Extracting #2: cost 8 inf + 0 16.540 * * [simplify]: Extracting #3: cost 13 inf + 0 16.540 * * [simplify]: Extracting #4: cost 22 inf + 0 16.540 * * [simplify]: Extracting #5: cost 17 inf + 129 16.541 * * [simplify]: Extracting #6: cost 8 inf + 912 16.541 * * [simplify]: Extracting #7: cost 2 inf + 2126 16.542 * * [simplify]: Extracting #8: cost 0 inf + 2692 16.543 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) 16.543 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))))) 16.543 * * * * [progress]: [ 53 / 100 ] simplifiying candidate # 16.544 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) 1) 16.544 * * [simplify]: iters left: 6 (10 enodes) 16.551 * * [simplify]: iters left: 5 (33 enodes) 16.560 * * [simplify]: iters left: 4 (35 enodes) 16.570 * * [simplify]: Extracting #0: cost 1 inf + 0 16.570 * * [simplify]: Extracting #1: cost 4 inf + 0 16.570 * * [simplify]: Extracting #2: cost 6 inf + 1 16.570 * * [simplify]: Extracting #3: cost 12 inf + 1 16.571 * * [simplify]: Extracting #4: cost 7 inf + 47 16.571 * * [simplify]: Extracting #5: cost 0 inf + 749 16.571 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c))) 16.571 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))))) 16.572 * [simplify]: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) 16.572 * * [simplify]: iters left: 6 (13 enodes) 16.578 * * [simplify]: iters left: 5 (43 enodes) 16.586 * * [simplify]: Extracting #0: cost 1 inf + 0 16.586 * * [simplify]: Extracting #1: cost 4 inf + 0 16.586 * * [simplify]: Extracting #2: cost 8 inf + 0 16.586 * * [simplify]: Extracting #3: cost 14 inf + 0 16.586 * * [simplify]: Extracting #4: cost 22 inf + 0 16.586 * * [simplify]: Extracting #5: cost 17 inf + 45 16.586 * * [simplify]: Extracting #6: cost 10 inf + 537 16.587 * * [simplify]: Extracting #7: cost 4 inf + 1192 16.587 * * [simplify]: Extracting #8: cost 1 inf + 1844 16.587 * * [simplify]: Extracting #9: cost 0 inf + 2208 16.588 * [simplify]: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) 16.588 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ (sqrt (+ (* a c) (* b d))) 1) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))))) 16.588 * * * * [progress]: [ 54 / 100 ] simplifiying candidate # 16.588 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 16.588 * * [simplify]: iters left: 6 (10 enodes) 16.591 * * [simplify]: iters left: 5 (35 enodes) 16.597 * * [simplify]: iters left: 4 (39 enodes) 16.602 * * [simplify]: Extracting #0: cost 1 inf + 0 16.602 * * [simplify]: Extracting #1: cost 6 inf + 0 16.602 * * [simplify]: Extracting #2: cost 9 inf + 1 16.602 * * [simplify]: Extracting #3: cost 11 inf + 1 16.603 * * [simplify]: Extracting #4: cost 14 inf + 1 16.603 * * [simplify]: Extracting #5: cost 18 inf + 1 16.603 * * [simplify]: Extracting #6: cost 16 inf + 3 16.603 * * [simplify]: Extracting #7: cost 11 inf + 289 16.603 * * [simplify]: Extracting #8: cost 6 inf + 1219 16.603 * * [simplify]: Extracting #9: cost 0 inf + 2995 16.604 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 16.604 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d)))))))) 16.604 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) 16.604 * * [simplify]: iters left: 6 (13 enodes) 16.607 * * [simplify]: iters left: 5 (43 enodes) 16.614 * * [simplify]: Extracting #0: cost 1 inf + 0 16.615 * * [simplify]: Extracting #1: cost 4 inf + 0 16.615 * * [simplify]: Extracting #2: cost 9 inf + 0 16.615 * * [simplify]: Extracting #3: cost 17 inf + 0 16.615 * * [simplify]: Extracting #4: cost 16 inf + 4 16.615 * * [simplify]: Extracting #5: cost 12 inf + 334 16.615 * * [simplify]: Extracting #6: cost 5 inf + 1108 16.616 * * [simplify]: Extracting #7: cost 1 inf + 2040 16.617 * * [simplify]: Extracting #8: cost 0 inf + 2444 16.618 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) 16.618 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d)))))))) 16.618 * * * * [progress]: [ 55 / 100 ] simplifiying candidate # 16.618 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 16.618 * * [simplify]: iters left: 6 (10 enodes) 16.624 * * [simplify]: iters left: 5 (34 enodes) 16.630 * * [simplify]: iters left: 4 (36 enodes) 16.635 * * [simplify]: Extracting #0: cost 1 inf + 0 16.635 * * [simplify]: Extracting #1: cost 4 inf + 0 16.635 * * [simplify]: Extracting #2: cost 6 inf + 1 16.635 * * [simplify]: Extracting #3: cost 9 inf + 1 16.636 * * [simplify]: Extracting #4: cost 12 inf + 1 16.636 * * [simplify]: Extracting #5: cost 16 inf + 1 16.636 * * [simplify]: Extracting #6: cost 14 inf + 3 16.636 * * [simplify]: Extracting #7: cost 10 inf + 248 16.636 * * [simplify]: Extracting #8: cost 2 inf + 1824 16.636 * * [simplify]: Extracting #9: cost 0 inf + 2349 16.637 * [simplify]: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) 16.637 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d)))))))) 16.637 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) 16.637 * * [simplify]: iters left: 6 (13 enodes) 16.640 * * [simplify]: iters left: 5 (43 enodes) 16.646 * * [simplify]: Extracting #0: cost 1 inf + 0 16.646 * * [simplify]: Extracting #1: cost 4 inf + 0 16.646 * * [simplify]: Extracting #2: cost 9 inf + 0 16.646 * * [simplify]: Extracting #3: cost 17 inf + 0 16.646 * * [simplify]: Extracting #4: cost 16 inf + 4 16.646 * * [simplify]: Extracting #5: cost 12 inf + 334 16.646 * * [simplify]: Extracting #6: cost 5 inf + 1148 16.647 * * [simplify]: Extracting #7: cost 1 inf + 2120 16.647 * * [simplify]: Extracting #8: cost 0 inf + 2524 16.647 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) 16.647 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d)))))))) 16.648 * * * * [progress]: [ 56 / 100 ] simplifiying candidate # 16.648 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 16.648 * * [simplify]: iters left: 6 (9 enodes) 16.650 * * [simplify]: iters left: 5 (30 enodes) 16.657 * * [simplify]: iters left: 4 (32 enodes) 16.663 * * [simplify]: Extracting #0: cost 1 inf + 0 16.663 * * [simplify]: Extracting #1: cost 4 inf + 0 16.663 * * [simplify]: Extracting #2: cost 5 inf + 1 16.663 * * [simplify]: Extracting #3: cost 7 inf + 1 16.663 * * [simplify]: Extracting #4: cost 10 inf + 1 16.663 * * [simplify]: Extracting #5: cost 14 inf + 1 16.663 * * [simplify]: Extracting #6: cost 12 inf + 3 16.663 * * [simplify]: Extracting #7: cost 8 inf + 248 16.664 * * [simplify]: Extracting #8: cost 4 inf + 775 16.664 * * [simplify]: Extracting #9: cost 0 inf + 1625 16.665 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 16.665 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))))) 16.665 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) 16.665 * * [simplify]: iters left: 6 (13 enodes) 16.671 * * [simplify]: iters left: 5 (43 enodes) 16.676 * * [simplify]: Extracting #0: cost 1 inf + 0 16.676 * * [simplify]: Extracting #1: cost 4 inf + 0 16.676 * * [simplify]: Extracting #2: cost 9 inf + 0 16.676 * * [simplify]: Extracting #3: cost 17 inf + 0 16.676 * * [simplify]: Extracting #4: cost 16 inf + 4 16.676 * * [simplify]: Extracting #5: cost 12 inf + 334 16.677 * * [simplify]: Extracting #6: cost 5 inf + 1068 16.677 * * [simplify]: Extracting #7: cost 1 inf + 1920 16.677 * * [simplify]: Extracting #8: cost 0 inf + 2284 16.678 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) 16.678 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d)))))))) 16.678 * * * * [progress]: [ 57 / 100 ] simplifiying candidate # 16.678 * [simplify]: Simplifying (/ 1 (sqrt 1)) 16.678 * * [simplify]: iters left: 3 (3 enodes) 16.682 * * [simplify]: iters left: 2 (11 enodes) 16.684 * * [simplify]: iters left: 1 (13 enodes) 16.686 * * [simplify]: Extracting #0: cost 1 inf + 0 16.686 * * [simplify]: Extracting #1: cost 0 inf + 1 16.686 * [simplify]: Simplified to 1 16.686 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* 1 (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))) 16.687 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) 16.687 * * [simplify]: iters left: 6 (12 enodes) 16.689 * * [simplify]: iters left: 5 (40 enodes) 16.695 * * [simplify]: Extracting #0: cost 1 inf + 0 16.695 * * [simplify]: Extracting #1: cost 4 inf + 0 16.695 * * [simplify]: Extracting #2: cost 9 inf + 0 16.695 * * [simplify]: Extracting #3: cost 18 inf + 0 16.695 * * [simplify]: Extracting #4: cost 11 inf + 372 16.695 * * [simplify]: Extracting #5: cost 1 inf + 1476 16.695 * * [simplify]: Extracting #6: cost 0 inf + 1800 16.696 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) 16.696 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* 1 (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) 16.696 * * * * [progress]: [ 58 / 100 ] simplifiying candidate # 16.696 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 16.696 * * [simplify]: iters left: 6 (9 enodes) 16.700 * * [simplify]: iters left: 5 (30 enodes) 16.705 * * [simplify]: iters left: 4 (32 enodes) 16.710 * * [simplify]: Extracting #0: cost 1 inf + 0 16.710 * * [simplify]: Extracting #1: cost 4 inf + 0 16.710 * * [simplify]: Extracting #2: cost 5 inf + 1 16.710 * * [simplify]: Extracting #3: cost 7 inf + 1 16.710 * * [simplify]: Extracting #4: cost 10 inf + 1 16.710 * * [simplify]: Extracting #5: cost 14 inf + 1 16.710 * * [simplify]: Extracting #6: cost 12 inf + 3 16.710 * * [simplify]: Extracting #7: cost 8 inf + 248 16.711 * * [simplify]: Extracting #8: cost 4 inf + 775 16.711 * * [simplify]: Extracting #9: cost 0 inf + 1625 16.711 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 16.711 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))))) 16.711 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) 16.712 * * [simplify]: iters left: 6 (13 enodes) 16.714 * * [simplify]: iters left: 5 (43 enodes) 16.720 * * [simplify]: Extracting #0: cost 1 inf + 0 16.720 * * [simplify]: Extracting #1: cost 4 inf + 0 16.720 * * [simplify]: Extracting #2: cost 9 inf + 0 16.720 * * [simplify]: Extracting #3: cost 17 inf + 0 16.720 * * [simplify]: Extracting #4: cost 16 inf + 4 16.720 * * [simplify]: Extracting #5: cost 12 inf + 334 16.721 * * [simplify]: Extracting #6: cost 5 inf + 1068 16.721 * * [simplify]: Extracting #7: cost 1 inf + 1920 16.721 * * [simplify]: Extracting #8: cost 0 inf + 2284 16.722 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) 16.722 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d)))))))) 16.722 * * * * [progress]: [ 59 / 100 ] simplifiying candidate # 16.722 * [simplify]: Simplifying (/ 1 1) 16.722 * * [simplify]: iters left: 2 (2 enodes) 16.723 * * [simplify]: iters left: 1 (6 enodes) 16.724 * * [simplify]: Extracting #0: cost 1 inf + 0 16.724 * * [simplify]: Extracting #1: cost 0 inf + 1 16.724 * [simplify]: Simplified to 1 16.724 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* 1 (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))) 16.725 * [simplify]: Simplifying (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) 16.725 * * [simplify]: iters left: 6 (12 enodes) 16.727 * * [simplify]: iters left: 5 (40 enodes) 16.735 * * [simplify]: Extracting #0: cost 1 inf + 0 16.735 * * [simplify]: Extracting #1: cost 4 inf + 0 16.735 * * [simplify]: Extracting #2: cost 9 inf + 0 16.735 * * [simplify]: Extracting #3: cost 18 inf + 0 16.735 * * [simplify]: Extracting #4: cost 11 inf + 372 16.736 * * [simplify]: Extracting #5: cost 1 inf + 1476 16.737 * * [simplify]: Extracting #6: cost 0 inf + 1800 16.737 * [simplify]: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) 16.737 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* 1 (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) 16.737 * * * * [progress]: [ 60 / 100 ] simplifiying candidate # 16.738 * * * * [progress]: [ 61 / 100 ] simplifiying candidate # 16.738 * * * * [progress]: [ 62 / 100 ] simplifiying candidate # 16.738 * * * * [progress]: [ 63 / 100 ] simplifiying candidate # 16.738 * [simplify]: Simplifying (cbrt (sqrt (+ (* c c) (* d d)))) 16.738 * * [simplify]: iters left: 6 (7 enodes) 16.741 * * [simplify]: iters left: 5 (22 enodes) 16.747 * * [simplify]: Extracting #0: cost 1 inf + 0 16.747 * * [simplify]: Extracting #1: cost 3 inf + 0 16.747 * * [simplify]: Extracting #2: cost 5 inf + 0 16.747 * * [simplify]: Extracting #3: cost 8 inf + 0 16.747 * * [simplify]: Extracting #4: cost 12 inf + 0 16.747 * * [simplify]: Extracting #5: cost 10 inf + 2 16.747 * * [simplify]: Extracting #6: cost 1 inf + 976 16.748 * * [simplify]: Extracting #7: cost 0 inf + 1218 16.750 * [simplify]: Simplified to (cbrt (sqrt (+ (* c c) (* d d)))) 16.750 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))))) 16.750 * * * * [progress]: [ 64 / 100 ] simplifiying candidate # 16.751 * [simplify]: Simplifying (sqrt (cbrt (+ (* c c) (* d d)))) 16.751 * * [simplify]: iters left: 6 (7 enodes) 16.754 * * [simplify]: iters left: 5 (22 enodes) 16.757 * * [simplify]: Extracting #0: cost 1 inf + 0 16.757 * * [simplify]: Extracting #1: cost 3 inf + 0 16.757 * * [simplify]: Extracting #2: cost 5 inf + 0 16.757 * * [simplify]: Extracting #3: cost 8 inf + 0 16.757 * * [simplify]: Extracting #4: cost 12 inf + 0 16.757 * * [simplify]: Extracting #5: cost 10 inf + 2 16.758 * * [simplify]: Extracting #6: cost 1 inf + 1056 16.758 * * [simplify]: Extracting #7: cost 0 inf + 1298 16.758 * [simplify]: Simplified to (sqrt (cbrt (+ (* c c) (* d d)))) 16.758 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) 16.758 * * * * [progress]: [ 65 / 100 ] simplifiying candidate # 16.758 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) 16.758 * * [simplify]: iters left: 6 (7 enodes) 16.760 * * [simplify]: iters left: 5 (22 enodes) 16.763 * * [simplify]: Extracting #0: cost 1 inf + 0 16.763 * * [simplify]: Extracting #1: cost 3 inf + 0 16.763 * * [simplify]: Extracting #2: cost 5 inf + 0 16.763 * * [simplify]: Extracting #3: cost 8 inf + 0 16.763 * * [simplify]: Extracting #4: cost 12 inf + 0 16.763 * * [simplify]: Extracting #5: cost 10 inf + 2 16.764 * * [simplify]: Extracting #6: cost 1 inf + 936 16.764 * * [simplify]: Extracting #7: cost 0 inf + 1138 16.764 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) 16.764 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) 16.764 * * * * [progress]: [ 66 / 100 ] simplifiying candidate # 16.764 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d))) 16.764 * * [simplify]: iters left: 5 (6 enodes) 16.766 * * [simplify]: iters left: 4 (19 enodes) 16.769 * * [simplify]: Extracting #0: cost 1 inf + 0 16.769 * * [simplify]: Extracting #1: cost 3 inf + 0 16.769 * * [simplify]: Extracting #2: cost 6 inf + 0 16.769 * * [simplify]: Extracting #3: cost 10 inf + 0 16.769 * * [simplify]: Extracting #4: cost 6 inf + 84 16.769 * * [simplify]: Extracting #5: cost 0 inf + 734 16.769 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d))) 16.769 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt 1)) (sqrt (+ (* c c) (* d d)))))) 16.769 * * * * [progress]: [ 67 / 100 ] simplifiying candidate # 16.769 * [simplify]: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) 16.769 * * [simplify]: iters left: 6 (7 enodes) 16.771 * * [simplify]: iters left: 5 (22 enodes) 16.774 * * [simplify]: Extracting #0: cost 1 inf + 0 16.774 * * [simplify]: Extracting #1: cost 3 inf + 0 16.774 * * [simplify]: Extracting #2: cost 5 inf + 0 16.774 * * [simplify]: Extracting #3: cost 8 inf + 0 16.774 * * [simplify]: Extracting #4: cost 12 inf + 0 16.774 * * [simplify]: Extracting #5: cost 10 inf + 2 16.774 * * [simplify]: Extracting #6: cost 1 inf + 936 16.774 * * [simplify]: Extracting #7: cost 0 inf + 1138 16.774 * [simplify]: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) 16.774 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) 16.775 * * * * [progress]: [ 68 / 100 ] simplifiying candidate # 16.775 * [simplify]: Simplifying (sqrt (+ (* c c) (* d d))) 16.775 * * [simplify]: iters left: 5 (6 enodes) 16.776 * * [simplify]: iters left: 4 (19 enodes) 16.779 * * [simplify]: Extracting #0: cost 1 inf + 0 16.779 * * [simplify]: Extracting #1: cost 3 inf + 0 16.779 * * [simplify]: Extracting #2: cost 6 inf + 0 16.779 * * [simplify]: Extracting #3: cost 10 inf + 0 16.779 * * [simplify]: Extracting #4: cost 6 inf + 84 16.779 * * [simplify]: Extracting #5: cost 0 inf + 734 16.779 * [simplify]: Simplified to (sqrt (+ (* c c) (* d d))) 16.779 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) 1) (sqrt (+ (* c c) (* d d)))))) 16.779 * * * * [progress]: [ 69 / 100 ] simplifiying candidate # 16.779 * [simplify]: Simplifying (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 16.779 * * [simplify]: iters left: 6 (9 enodes) 16.781 * * [simplify]: iters left: 5 (30 enodes) 16.785 * * [simplify]: Extracting #0: cost 1 inf + 0 16.785 * * [simplify]: Extracting #1: cost 3 inf + 0 16.785 * * [simplify]: Extracting #2: cost 5 inf + 0 16.785 * * [simplify]: Extracting #3: cost 8 inf + 0 16.785 * * [simplify]: Extracting #4: cost 14 inf + 0 16.785 * * [simplify]: Extracting #5: cost 9 inf + 46 16.785 * * [simplify]: Extracting #6: cost 4 inf + 500 16.786 * * [simplify]: Extracting #7: cost 1 inf + 1072 16.786 * * [simplify]: Extracting #8: cost 0 inf + 1316 16.786 * [simplify]: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 16.786 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d))))))) 16.786 * * * * [progress]: [ 70 / 100 ] simplifiying candidate # 16.786 * [simplify]: Simplifying (sqrt (+ (* a c) (* b d))) 16.787 * * [simplify]: iters left: 5 (8 enodes) 16.788 * * [simplify]: iters left: 4 (27 enodes) 16.792 * * [simplify]: Extracting #0: cost 1 inf + 0 16.792 * * [simplify]: Extracting #1: cost 3 inf + 0 16.792 * * [simplify]: Extracting #2: cost 6 inf + 0 16.792 * * [simplify]: Extracting #3: cost 12 inf + 0 16.792 * * [simplify]: Extracting #4: cost 8 inf + 4 16.792 * * [simplify]: Extracting #5: cost 1 inf + 584 16.792 * * [simplify]: Extracting #6: cost 0 inf + 748 16.792 * [simplify]: Simplified to (sqrt (+ (* b d) (* a c))) 16.792 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d))))))) 16.793 * * * * [progress]: [ 71 / 100 ] simplifiying candidate # 16.793 * * * * [progress]: [ 72 / 100 ] simplifiying candidate # 16.793 * [simplify]: Simplifying (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) 16.793 * * [simplify]: iters left: 6 (10 enodes) 16.796 * * [simplify]: iters left: 5 (52 enodes) 16.806 * * [simplify]: iters left: 4 (119 enodes) 16.831 * * [simplify]: iters left: 3 (234 enodes) 16.890 * * [simplify]: iters left: 2 (366 enodes) 17.053 * * [simplify]: Extracting #0: cost 1 inf + 0 17.053 * * [simplify]: Extracting #1: cost 3 inf + 0 17.053 * * [simplify]: Extracting #2: cost 22 inf + 0 17.054 * * [simplify]: Extracting #3: cost 148 inf + 0 17.055 * * [simplify]: Extracting #4: cost 202 inf + 2230 17.059 * * [simplify]: Extracting #5: cost 83 inf + 22274 17.066 * * [simplify]: Extracting #6: cost 1 inf + 35108 17.074 * * [simplify]: Extracting #7: cost 0 inf + 35040 17.081 * [simplify]: Simplified to (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) 17.081 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d 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)))))))) 17.081 * * * * [progress]: [ 73 / 100 ] simplifiying candidate # 17.081 * [simplify]: Simplifying (sqrt (- (* c c) (* d d))) 17.081 * * [simplify]: iters left: 5 (6 enodes) 17.083 * * [simplify]: iters left: 4 (23 enodes) 17.086 * * [simplify]: iters left: 3 (36 enodes) 17.093 * * [simplify]: iters left: 2 (53 enodes) 17.109 * * [simplify]: iters left: 1 (94 enodes) 17.147 * * [simplify]: Extracting #0: cost 1 inf + 0 17.147 * * [simplify]: Extracting #1: cost 3 inf + 0 17.147 * * [simplify]: Extracting #2: cost 32 inf + 0 17.148 * * [simplify]: Extracting #3: cost 48 inf + 0 17.148 * * [simplify]: Extracting #4: cost 42 inf + 247 17.148 * * [simplify]: Extracting #5: cost 18 inf + 3412 17.150 * * [simplify]: Extracting #6: cost 0 inf + 5728 17.151 * * [simplify]: Extracting #7: cost 0 inf + 5448 17.152 * [simplify]: Simplified to (sqrt (- (* c c) (* d d))) 17.152 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (* (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (- (* c c) (* d d)))))) 17.153 * * * * [progress]: [ 74 / 100 ] simplifiying candidate # 17.153 * [simplify]: Simplifying (+ (pow (* a c) 3) (pow (* b d) 3)) 17.153 * * [simplify]: iters left: 5 (10 enodes) 17.156 * * [simplify]: iters left: 4 (52 enodes) 17.169 * * [simplify]: iters left: 3 (145 enodes) 17.236 * * [simplify]: iters left: 2 (335 enodes) 17.378 * * [simplify]: Extracting #0: cost 1 inf + 0 17.378 * * [simplify]: Extracting #1: cost 4 inf + 0 17.379 * * [simplify]: Extracting #2: cost 51 inf + 0 17.379 * * [simplify]: Extracting #3: cost 124 inf + 950 17.381 * * [simplify]: Extracting #4: cost 89 inf + 8397 17.384 * * [simplify]: Extracting #5: cost 14 inf + 28399 17.388 * * [simplify]: Extracting #6: cost 1 inf + 33494 17.392 * * [simplify]: Extracting #7: cost 0 inf + 33747 17.396 * [simplify]: Simplified to (+ (* (* (* b d) (* b d)) (* b d)) (* (* a c) (* (* a c) (* a c)))) 17.396 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d 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)))))))) 17.396 * * * * [progress]: [ 75 / 100 ] simplifiying candidate # 17.396 * [simplify]: Simplifying (- (* (* a c) (* a c)) (* (* b d) (* b d))) 17.396 * * [simplify]: iters left: 6 (9 enodes) 17.399 * * [simplify]: iters left: 5 (48 enodes) 17.417 * * [simplify]: iters left: 4 (111 enodes) 17.460 * * [simplify]: iters left: 3 (181 enodes) 17.511 * * [simplify]: iters left: 2 (262 enodes) 17.578 * * [simplify]: iters left: 1 (473 enodes) 17.759 * * [simplify]: Extracting #0: cost 1 inf + 0 17.759 * * [simplify]: Extracting #1: cost 22 inf + 0 17.760 * * [simplify]: Extracting #2: cost 110 inf + 0 17.762 * * [simplify]: Extracting #3: cost 142 inf + 1440 17.769 * * [simplify]: Extracting #4: cost 41 inf + 15973 17.782 * * [simplify]: Extracting #5: cost 0 inf + 23364 17.789 * * [simplify]: Extracting #6: cost 0 inf + 23124 17.796 * [simplify]: Simplified to (- (* (* a c) (* a c)) (* (* b d) (* b d))) 17.797 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (- (* (* a c) (* a c)) (* (* b d) (* b d))) (* (sqrt (+ (* c c) (* d d))) (- (* a c) (* b d)))))) 17.797 * * * * [progress]: [ 76 / 100 ] simplifiying candidate #real (real->posit16 (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))))> 17.797 * * * * [progress]: [ 77 / 100 ] simplifiying candidate # 17.797 * [simplify]: Simplifying (* (exp (* a c)) (exp (* b d))) 17.797 * * [simplify]: iters left: 5 (9 enodes) 17.799 * * [simplify]: iters left: 4 (36 enodes) 17.804 * * [simplify]: iters left: 3 (55 enodes) 17.816 * * [simplify]: iters left: 2 (91 enodes) 17.852 * * [simplify]: iters left: 1 (191 enodes) 17.942 * * [simplify]: Extracting #0: cost 1 inf + 0 17.942 * * [simplify]: Extracting #1: cost 38 inf + 0 17.943 * * [simplify]: Extracting #2: cost 150 inf + 0 17.943 * * [simplify]: Extracting #3: cost 173 inf + 772 17.944 * * [simplify]: Extracting #4: cost 148 inf + 4628 17.947 * * [simplify]: Extracting #5: cost 93 inf + 18511 17.952 * * [simplify]: Extracting #6: cost 27 inf + 61555 17.962 * * [simplify]: Extracting #7: cost 0 inf + 82217 17.974 * [simplify]: Simplified to (exp (+ (* a c) (* b d))) 17.974 * [simplify]: Simplified (2 2 1 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (log (exp (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))))) 17.975 * * * * [progress]: [ 78 / 100 ] simplifiying candidate # 17.975 * * * * [progress]: [ 79 / 100 ] simplifiying candidate # 17.975 * * * * [progress]: [ 80 / 100 ] simplifiying candidate # 17.975 * * * * [progress]: [ 81 / 100 ] simplifiying candidate # 17.975 * * * * [progress]: [ 82 / 100 ] simplifiying candidate # 17.975 * * * * [progress]: [ 83 / 100 ] simplifiying candidate # 17.975 * * * * [progress]: [ 84 / 100 ] simplifiying candidate # 17.975 * * * * [progress]: [ 85 / 100 ] simplifiying candidate # 17.975 * * * * [progress]: [ 86 / 100 ] simplifiying candidate # 17.975 * * * * [progress]: [ 87 / 100 ] simplifiying candidate #real (real->posit16 (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))))> 17.975 * * * * [progress]: [ 88 / 100 ] simplifiying candidate # 17.976 * * * * [progress]: [ 89 / 100 ] simplifiying candidate # 17.976 * [simplify]: Simplifying d 17.976 * * [simplify]: iters left: 0 (1 enodes) 17.976 * * [simplify]: Extracting #0: cost 1 inf + 0 17.976 * * [simplify]: Extracting #1: cost 0 inf + 1 17.977 * [simplify]: Simplified to d 17.977 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) d))) 17.977 * * * * [progress]: [ 90 / 100 ] simplifiying candidate # 17.977 * [simplify]: Simplifying c 17.977 * * [simplify]: iters left: 0 (1 enodes) 17.978 * * [simplify]: Extracting #0: cost 1 inf + 0 17.978 * * [simplify]: Extracting #1: cost 0 inf + 1 17.978 * [simplify]: Simplified to c 17.978 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) c))) 17.978 * * * * [progress]: [ 91 / 100 ] simplifiying candidate # 17.978 * [simplify]: Simplifying (* -1 c) 17.978 * * [simplify]: iters left: 2 (3 enodes) 17.980 * * [simplify]: iters left: 1 (11 enodes) 17.984 * * [simplify]: Extracting #0: cost 1 inf + 0 17.984 * * [simplify]: Extracting #1: cost 4 inf + 0 17.984 * * [simplify]: Extracting #2: cost 0 inf + 84 17.984 * [simplify]: Simplified to (- c) 17.984 * [simplify]: Simplified (2 2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (- c)))) 17.984 * * * * [progress]: [ 92 / 100 ] simplifiying candidate # 17.984 * [simplify]: Simplifying d 17.984 * * [simplify]: iters left: 0 (1 enodes) 17.985 * * [simplify]: Extracting #0: cost 1 inf + 0 17.985 * * [simplify]: Extracting #1: cost 0 inf + 1 17.985 * [simplify]: Simplified to d 17.985 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (* (/ 1 d) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) 17.985 * * * * [progress]: [ 93 / 100 ] simplifiying candidate # 17.985 * [simplify]: Simplifying c 17.985 * * [simplify]: iters left: 0 (1 enodes) 17.986 * * [simplify]: Extracting #0: cost 1 inf + 0 17.986 * * [simplify]: Extracting #1: cost 0 inf + 1 17.986 * [simplify]: Simplified to c 17.986 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (* (/ 1 c) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) 17.987 * * * * [progress]: [ 94 / 100 ] simplifiying candidate # 17.987 * [simplify]: Simplifying (* -1 c) 17.987 * * [simplify]: iters left: 2 (3 enodes) 17.989 * * [simplify]: iters left: 1 (11 enodes) 17.992 * * [simplify]: Extracting #0: cost 1 inf + 0 17.992 * * [simplify]: Extracting #1: cost 4 inf + 0 17.992 * * [simplify]: Extracting #2: cost 0 inf + 84 17.992 * [simplify]: Simplified to (- c) 17.992 * [simplify]: Simplified (2 1 2) to (λ (a b c d) (* (/ 1 (- c)) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) 17.992 * * * * [progress]: [ 95 / 100 ] simplifiying candidate # 17.993 * [simplify]: Simplifying b 17.993 * * [simplify]: iters left: 0 (1 enodes) 17.993 * * [simplify]: Extracting #0: cost 1 inf + 0 17.993 * * [simplify]: Extracting #1: cost 0 inf + 1 17.993 * [simplify]: Simplified to b 17.993 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) b)) 17.993 * * * * [progress]: [ 96 / 100 ] simplifiying candidate # 17.994 * [simplify]: Simplifying a 17.994 * * [simplify]: iters left: 0 (1 enodes) 17.994 * * [simplify]: Extracting #0: cost 1 inf + 0 17.994 * * [simplify]: Extracting #1: cost 0 inf + 1 17.994 * [simplify]: Simplified to a 17.994 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) a)) 17.994 * * * * [progress]: [ 97 / 100 ] simplifiying candidate # 17.995 * [simplify]: Simplifying (* -1 a) 17.995 * * [simplify]: iters left: 2 (3 enodes) 17.996 * * [simplify]: iters left: 1 (11 enodes) 18.000 * * [simplify]: Extracting #0: cost 1 inf + 0 18.000 * * [simplify]: Extracting #1: cost 4 inf + 0 18.000 * * [simplify]: Extracting #2: cost 0 inf + 84 18.000 * [simplify]: Simplified to (- a) 18.000 * [simplify]: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (- a))) 18.000 * * * * [progress]: [ 98 / 100 ] simplifiying candidate # 18.000 * [simplify]: Simplifying 0 18.000 * * [simplify]: iters left: 0 (1 enodes) 18.001 * * [simplify]: Extracting #0: cost 1 inf + 0 18.001 * * [simplify]: Extracting #1: cost 0 inf + 1 18.001 * [simplify]: Simplified to 0 18.001 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 0 (sqrt (+ (* c c) (* d d)))))) 18.001 * * * * [progress]: [ 99 / 100 ] simplifiying candidate # 18.002 * [simplify]: Simplifying (+ (* a c) (* b d)) 18.002 * * [simplify]: iters left: 4 (7 enodes) 18.005 * * [simplify]: iters left: 3 (24 enodes) 18.011 * * [simplify]: Extracting #0: cost 1 inf + 0 18.011 * * [simplify]: Extracting #1: cost 4 inf + 0 18.011 * * [simplify]: Extracting #2: cost 10 inf + 0 18.011 * * [simplify]: Extracting #3: cost 6 inf + 4 18.011 * * [simplify]: Extracting #4: cost 1 inf + 296 18.011 * * [simplify]: Extracting #5: cost 0 inf + 420 18.011 * [simplify]: Simplified to (+ (* b d) (* a c)) 18.011 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) 18.012 * * * * [progress]: [ 100 / 100 ] simplifiying candidate # 18.012 * [simplify]: Simplifying (+ (* a c) (* b d)) 18.012 * * [simplify]: iters left: 4 (7 enodes) 18.015 * * [simplify]: iters left: 3 (24 enodes) 18.021 * * [simplify]: Extracting #0: cost 1 inf + 0 18.021 * * [simplify]: Extracting #1: cost 4 inf + 0 18.021 * * [simplify]: Extracting #2: cost 10 inf + 0 18.021 * * [simplify]: Extracting #3: cost 6 inf + 4 18.022 * * [simplify]: Extracting #4: cost 1 inf + 296 18.022 * * [simplify]: Extracting #5: cost 0 inf + 420 18.022 * [simplify]: Simplified to (+ (* b d) (* a c)) 18.022 * [simplify]: Simplified (2 2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) 18.022 * * * [progress]: adding candidates to table 19.434 * [progress]: [Phase 3 of 3] Extracting. 19.434 * * [regime]: Finding splitpoints for: (# # # # #real (real->posit16 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))> # # # # # #) 19.437 * * * [regime-changes]: Trying 5 branch expressions: (d b c a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) 19.438 * * * * [regimes]: Trying to branch on d from (# # # # #real (real->posit16 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))> # # # # # #) 19.567 * * * * [regimes]: Trying to branch on b from (# # # # #real (real->posit16 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))> # # # # # #) 19.674 * * * * [regimes]: Trying to branch on c from (# # # # #real (real->posit16 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))> # # # # # #) 19.761 * * * * [regimes]: Trying to branch on a from (# # # # #real (real->posit16 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))))> # # # # # #) 19.843 * * * * [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))))))> # # # # # #) 19.941 * * * [regime]: Found split indices: #