9.393 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.032 * * * [progress]: [2/2] Setting up program. 0.034 * [progress]: [Phase 2 of 3] Improving. 0.035 * [simplify]: Simplifying: (* x (sqrt (- (* y y) (* z z)))) 0.035 * [simplify]: Sending expressions to egg_math: (* h0 (sqrt (- (* h1 h1) (* h2 h2)))) 0.037 * * [simplify]: iteration 0 : 15 enodes (cost 5 ) 0.039 * * [simplify]: iteration 1 : 22 enodes (cost 5 ) 0.041 * * [simplify]: iteration 2 : 39 enodes (cost 5 ) 0.042 * * [simplify]: iteration 3 : 71 enodes (cost 5 ) 0.044 * * [simplify]: iteration 4 : 167 enodes (cost 5 ) 0.047 * * [simplify]: iteration 5 : 298 enodes (cost 5 ) 0.051 * * [simplify]: iteration 6 : 545 enodes (cost 5 ) 0.061 * * [simplify]: iteration 7 : 2142 enodes (cost 5 ) 0.120 * * [simplify]: iteration 8 : 5001 enodes (cost 5 ) 0.121 * * [progress]: iteration 1 / 4 0.121 * * * [progress]: picking best candidate 0.122 * * * * [pick]: Picked # 0.122 * * * [progress]: localizing error 0.129 * * * [progress]: generating rewritten candidates 0.129 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.140 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.148 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.179 * * * [progress]: generating series expansions 0.179 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.179 * [backup-simplify]: Simplify (sqrt (- (* y y) (* z z))) into (sqrt (- (pow y 2) (pow z 2))) 0.179 * [approximate]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in (y z) around 0 0.179 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.179 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.179 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.179 * [taylor]: Taking taylor expansion of y in z 0.179 * [backup-simplify]: Simplify y into y 0.179 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.179 * [taylor]: Taking taylor expansion of z in z 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.179 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.180 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.180 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.180 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.180 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.180 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.180 * [taylor]: Taking taylor expansion of z in y 0.180 * [backup-simplify]: Simplify z into z 0.180 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.180 * [backup-simplify]: Simplify (- (pow z 2)) into (- (pow z 2)) 0.181 * [backup-simplify]: Simplify (+ 0 (- (pow z 2))) into (- (pow z 2)) 0.181 * [backup-simplify]: Simplify (sqrt (- (pow z 2))) into (sqrt (- (pow z 2))) 0.181 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.181 * [backup-simplify]: Simplify (- 0) into 0 0.181 * [backup-simplify]: Simplify (+ 0 0) into 0 0.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow z 2))))) into 0 0.181 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.181 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.181 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.181 * [taylor]: Taking taylor expansion of z in y 0.181 * [backup-simplify]: Simplify z into z 0.181 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.182 * [backup-simplify]: Simplify (- (pow z 2)) into (- (pow z 2)) 0.182 * [backup-simplify]: Simplify (+ 0 (- (pow z 2))) into (- (pow z 2)) 0.182 * [backup-simplify]: Simplify (sqrt (- (pow z 2))) into (sqrt (- (pow z 2))) 0.182 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.182 * [backup-simplify]: Simplify (- 0) into 0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow z 2))))) into 0 0.182 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.183 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.183 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.183 * [taylor]: Taking taylor expansion of z in z 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (* 1 1) into 1 0.183 * [backup-simplify]: Simplify (- 1) into -1 0.183 * [backup-simplify]: Simplify (- 1) into -1 0.184 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.184 * [backup-simplify]: Simplify (- 0) into 0 0.184 * [backup-simplify]: Simplify (- 1) into -1 0.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.185 * [taylor]: Taking taylor expansion of 0 in z 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.185 * [backup-simplify]: Simplify (* 1 1) into 1 0.186 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.186 * [backup-simplify]: Simplify (- 0) into 0 0.186 * [backup-simplify]: Simplify (+ 1 0) into 1 0.187 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- (pow z 2))))) into (/ 1/2 (sqrt (- (pow z 2)))) 0.187 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow z 2)))) in z 0.187 * [taylor]: Taking taylor expansion of 1/2 in z 0.187 * [backup-simplify]: Simplify 1/2 into 1/2 0.187 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.187 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.187 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.187 * [taylor]: Taking taylor expansion of z in z 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (* 1 1) into 1 0.187 * [backup-simplify]: Simplify (- 1) into -1 0.187 * [backup-simplify]: Simplify (- 1) into -1 0.188 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.188 * [backup-simplify]: Simplify (- 0) into 0 0.188 * [backup-simplify]: Simplify (- 1) into -1 0.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.189 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 0.190 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.191 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 0) (* 0 z)))) into 0 0.191 * [backup-simplify]: Simplify (- 0) into 0 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (pow z 2)))))))) (* 2 (sqrt (- (pow z 2))))) into 0 0.192 * [taylor]: Taking taylor expansion of 0 in z 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.192 * [backup-simplify]: Simplify (- 0) into 0 0.193 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 0.194 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify (* (sqrt -1) (* z 1)) into (* z (sqrt -1)) 0.194 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 y) (/ 1 y)) (* (/ 1 z) (/ 1 z)))) into (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0.194 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.194 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.194 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.194 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.194 * [taylor]: Taking taylor expansion of y in z 0.194 * [backup-simplify]: Simplify y into y 0.194 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.195 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.195 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.195 * [taylor]: Taking taylor expansion of z in z 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (* 1 1) into 1 0.195 * [backup-simplify]: Simplify (/ 1 1) into 1 0.195 * [backup-simplify]: Simplify (- 1) into -1 0.195 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.196 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (- 0) into 0 0.197 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.197 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.197 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.197 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (* 1 1) into 1 0.198 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.198 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.198 * [taylor]: Taking taylor expansion of z in y 0.198 * [backup-simplify]: Simplify z into z 0.198 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.198 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.198 * [backup-simplify]: Simplify (+ 1 0) into 1 0.199 * [backup-simplify]: Simplify (sqrt 1) into 1 0.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.200 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.200 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (* 1 1) into 1 0.200 * [backup-simplify]: Simplify (/ 1 1) into 1 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.201 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.201 * [taylor]: Taking taylor expansion of z in y 0.201 * [backup-simplify]: Simplify z into z 0.201 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.201 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.201 * [backup-simplify]: Simplify (+ 1 0) into 1 0.201 * [backup-simplify]: Simplify (sqrt 1) into 1 0.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.203 * [taylor]: Taking taylor expansion of 1 in z 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [taylor]: Taking taylor expansion of 0 in z 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (- (/ 1 (pow z 2))) into (- (/ 1 (pow z 2))) 0.204 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow z 2)))) into (- (/ 1 (pow z 2))) 0.205 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow z 2)) 0.205 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.205 * [taylor]: Taking taylor expansion of -1/2 in z 0.205 * [backup-simplify]: Simplify -1/2 into -1/2 0.205 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.205 * [taylor]: Taking taylor expansion of z in z 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (* 1 1) into 1 0.206 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.208 * [backup-simplify]: Simplify (- 0) into 0 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.209 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow z 2)))))) (* 2 1)) into 0 0.209 * [taylor]: Taking taylor expansion of 0 in z 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y)))) into y 0.210 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0.210 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.210 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.210 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.210 * [taylor]: Taking taylor expansion of y in z 0.210 * [backup-simplify]: Simplify y into y 0.210 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.211 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.211 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.211 * [taylor]: Taking taylor expansion of z in z 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (* 1 1) into 1 0.211 * [backup-simplify]: Simplify (/ 1 1) into 1 0.211 * [backup-simplify]: Simplify (- 1) into -1 0.211 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.212 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.213 * [backup-simplify]: Simplify (- 0) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.213 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.213 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (* 1 1) into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.214 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.214 * [taylor]: Taking taylor expansion of z in y 0.214 * [backup-simplify]: Simplify z into z 0.214 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.214 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.214 * [backup-simplify]: Simplify (+ 1 0) into 1 0.215 * [backup-simplify]: Simplify (sqrt 1) into 1 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.216 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.216 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.216 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.216 * [taylor]: Taking taylor expansion of y in y 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 z 2)) in y 0.217 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.217 * [taylor]: Taking taylor expansion of z in y 0.217 * [backup-simplify]: Simplify z into z 0.217 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.217 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.217 * [backup-simplify]: Simplify (+ 1 0) into 1 0.217 * [backup-simplify]: Simplify (sqrt 1) into 1 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (+ 0 0) into 0 0.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.219 * [taylor]: Taking taylor expansion of 1 in z 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [taylor]: Taking taylor expansion of 0 in z 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (- (/ 1 (pow z 2))) into (- (/ 1 (pow z 2))) 0.220 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow z 2)))) into (- (/ 1 (pow z 2))) 0.221 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow z 2)) 0.221 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.221 * [taylor]: Taking taylor expansion of -1/2 in z 0.221 * [backup-simplify]: Simplify -1/2 into -1/2 0.221 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.221 * [taylor]: Taking taylor expansion of z in z 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (* 1 1) into 1 0.222 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.224 * [backup-simplify]: Simplify (- 0) into 0 0.224 * [backup-simplify]: Simplify (+ 0 0) into 0 0.225 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow z 2)))))) (* 2 1)) into 0 0.225 * [taylor]: Taking taylor expansion of 0 in z 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y))))) into (* -1 y) 0.226 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.226 * [backup-simplify]: Simplify (- (* y y) (* z z)) into (- (pow y 2) (pow z 2)) 0.226 * [approximate]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in (y z) around 0 0.226 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.226 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.226 * [taylor]: Taking taylor expansion of y in z 0.226 * [backup-simplify]: Simplify y into y 0.226 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.226 * [taylor]: Taking taylor expansion of z in z 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.226 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.226 * [taylor]: Taking taylor expansion of z in y 0.226 * [backup-simplify]: Simplify z into z 0.226 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.226 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.226 * [taylor]: Taking taylor expansion of z in y 0.226 * [backup-simplify]: Simplify z into z 0.226 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.227 * [backup-simplify]: Simplify (- (pow z 2)) into (- (pow z 2)) 0.227 * [backup-simplify]: Simplify (+ 0 (- (pow z 2))) into (- (pow z 2)) 0.227 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.227 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.227 * [taylor]: Taking taylor expansion of z in z 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.227 * [backup-simplify]: Simplify (- 0) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.227 * [taylor]: Taking taylor expansion of 0 in z 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify (* 1 1) into 1 0.228 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify (+ 1 0) into 1 0.228 * [taylor]: Taking taylor expansion of 1 in z 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify (* 1 1) into 1 0.229 * [backup-simplify]: Simplify (- 1) into -1 0.229 * [backup-simplify]: Simplify -1 into -1 0.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.230 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 0) (* 0 z)))) into 0 0.230 * [backup-simplify]: Simplify (- 0) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [taylor]: Taking taylor expansion of 0 in z 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.231 * [backup-simplify]: Simplify (- 0) into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.237 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 z))))) into 0 0.237 * [backup-simplify]: Simplify (- 0) into 0 0.237 * [backup-simplify]: Simplify (+ 0 0) into 0 0.237 * [taylor]: Taking taylor expansion of 0 in z 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify (+ (* -1 (pow (* z 1) 2)) (* 1 (pow (* 1 y) 2))) into (- (pow y 2) (pow z 2)) 0.238 * [backup-simplify]: Simplify (- (* (/ 1 y) (/ 1 y)) (* (/ 1 z) (/ 1 z))) into (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) 0.238 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.238 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.238 * [taylor]: Taking taylor expansion of y in z 0.238 * [backup-simplify]: Simplify y into y 0.238 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.238 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.238 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.238 * [taylor]: Taking taylor expansion of z in z 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (* 1 1) into 1 0.238 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.238 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (* 1 1) into 1 0.239 * [backup-simplify]: Simplify (/ 1 1) into 1 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.239 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.239 * [taylor]: Taking taylor expansion of z in y 0.239 * [backup-simplify]: Simplify z into z 0.239 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.239 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.239 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.239 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (* 1 1) into 1 0.240 * [backup-simplify]: Simplify (/ 1 1) into 1 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.240 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.240 * [taylor]: Taking taylor expansion of z in y 0.240 * [backup-simplify]: Simplify z into z 0.240 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.240 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.240 * [backup-simplify]: Simplify (+ 1 0) into 1 0.240 * [taylor]: Taking taylor expansion of 1 in z 0.240 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [taylor]: Taking taylor expansion of 0 in z 0.241 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (- (/ 1 (pow z 2))) into (- (/ 1 (pow z 2))) 0.242 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow z 2)))) into (- (/ 1 (pow z 2))) 0.242 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.242 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.242 * [taylor]: Taking taylor expansion of z in z 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (* 1 1) into 1 0.243 * [backup-simplify]: Simplify (/ 1 1) into 1 0.243 * [backup-simplify]: Simplify (- 1) into -1 0.243 * [backup-simplify]: Simplify -1 into -1 0.243 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [taylor]: Taking taylor expansion of 0 in z 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (- 0) into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.248 * [backup-simplify]: Simplify (- 0) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [taylor]: Taking taylor expansion of 0 in z 0.248 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* -1 (pow (* (/ 1 (/ 1 z)) 1) 2))) into (- (pow y 2) (pow z 2)) 0.250 * [backup-simplify]: Simplify (- (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- z)) (/ 1 (- z)))) into (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) 0.250 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.250 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.250 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.250 * [taylor]: Taking taylor expansion of y in z 0.250 * [backup-simplify]: Simplify y into y 0.250 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.250 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.250 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.250 * [taylor]: Taking taylor expansion of z in z 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (* 1 1) into 1 0.251 * [backup-simplify]: Simplify (/ 1 1) into 1 0.251 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.251 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (* 1 1) into 1 0.251 * [backup-simplify]: Simplify (/ 1 1) into 1 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.251 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.251 * [taylor]: Taking taylor expansion of z in y 0.251 * [backup-simplify]: Simplify z into z 0.251 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.251 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.251 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.251 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (* 1 1) into 1 0.252 * [backup-simplify]: Simplify (/ 1 1) into 1 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.252 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.252 * [taylor]: Taking taylor expansion of z in y 0.252 * [backup-simplify]: Simplify z into z 0.252 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.252 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.252 * [backup-simplify]: Simplify (+ 1 0) into 1 0.252 * [taylor]: Taking taylor expansion of 1 in z 0.252 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [taylor]: Taking taylor expansion of 0 in z 0.253 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (- (/ 1 (pow z 2))) into (- (/ 1 (pow z 2))) 0.255 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow z 2)))) into (- (/ 1 (pow z 2))) 0.255 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.255 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.255 * [taylor]: Taking taylor expansion of z in z 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) into -1 0.255 * [backup-simplify]: Simplify -1 into -1 0.255 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.257 * [backup-simplify]: Simplify (- 0) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [taylor]: Taking taylor expansion of 0 in z 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (- 0) into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.259 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.260 * [backup-simplify]: Simplify (- 0) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [taylor]: Taking taylor expansion of 0 in z 0.260 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (- 0) into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- z))) 1) 2))) into (- (pow y 2) (pow z 2)) 0.262 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.262 * [backup-simplify]: Simplify (* x (sqrt (- (* y y) (* z z)))) into (* (sqrt (- (pow y 2) (pow z 2))) x) 0.262 * [approximate]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in (x y z) around 0 0.262 * [taylor]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in z 0.262 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.262 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.262 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.262 * [taylor]: Taking taylor expansion of y in z 0.262 * [backup-simplify]: Simplify y into y 0.262 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.262 * [taylor]: Taking taylor expansion of z in z 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.262 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.262 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.262 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.263 * [taylor]: Taking taylor expansion of x in z 0.263 * [backup-simplify]: Simplify x into x 0.263 * [taylor]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in y 0.263 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.263 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.263 * [taylor]: Taking taylor expansion of z in y 0.263 * [backup-simplify]: Simplify z into z 0.263 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.263 * [backup-simplify]: Simplify (- (pow z 2)) into (- (pow z 2)) 0.263 * [backup-simplify]: Simplify (+ 0 (- (pow z 2))) into (- (pow z 2)) 0.263 * [backup-simplify]: Simplify (sqrt (- (pow z 2))) into (sqrt (- (pow z 2))) 0.263 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow z 2))))) into 0 0.264 * [taylor]: Taking taylor expansion of x in y 0.264 * [backup-simplify]: Simplify x into x 0.264 * [taylor]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in x 0.264 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in x 0.264 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in x 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.264 * [taylor]: Taking taylor expansion of y in x 0.264 * [backup-simplify]: Simplify y into y 0.264 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.264 * [taylor]: Taking taylor expansion of z in x 0.264 * [backup-simplify]: Simplify z into z 0.264 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.264 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.264 * [backup-simplify]: Simplify (- (pow z 2)) into (- (pow z 2)) 0.264 * [backup-simplify]: Simplify (+ (pow y 2) (- (pow z 2))) into (- (pow y 2) (pow z 2)) 0.264 * [backup-simplify]: Simplify (sqrt (- (pow y 2) (pow z 2))) into (sqrt (- (pow y 2) (pow z 2))) 0.265 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.265 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.265 * [backup-simplify]: Simplify (- 0) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 2) (pow z 2))))) into 0 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [taylor]: Taking taylor expansion of (* (sqrt (- (pow y 2) (pow z 2))) x) in x 0.265 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in x 0.265 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in x 0.265 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [backup-simplify]: Simplify y into y 0.265 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.265 * [taylor]: Taking taylor expansion of z in x 0.265 * [backup-simplify]: Simplify z into z 0.265 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.265 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.266 * [backup-simplify]: Simplify (- (pow z 2)) into (- (pow z 2)) 0.266 * [backup-simplify]: Simplify (+ (pow y 2) (- (pow z 2))) into (- (pow y 2) (pow z 2)) 0.266 * [backup-simplify]: Simplify (sqrt (- (pow y 2) (pow z 2))) into (sqrt (- (pow y 2) (pow z 2))) 0.266 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.266 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.266 * [backup-simplify]: Simplify (- 0) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 2) (pow z 2))))) into 0 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (* (sqrt (- (pow y 2) (pow z 2))) 0) into 0 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [taylor]: Taking taylor expansion of 0 in z 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (+ (* (sqrt (- (pow y 2) (pow z 2))) 1) (* 0 0)) into (sqrt (- (pow y 2) (pow z 2))) 0.267 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.267 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.267 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.267 * [taylor]: Taking taylor expansion of z in y 0.267 * [backup-simplify]: Simplify z into z 0.267 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.268 * [backup-simplify]: Simplify (- (pow z 2)) into (- (pow z 2)) 0.268 * [backup-simplify]: Simplify (+ 0 (- (pow z 2))) into (- (pow z 2)) 0.268 * [backup-simplify]: Simplify (sqrt (- (pow z 2))) into (sqrt (- (pow z 2))) 0.268 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.268 * [backup-simplify]: Simplify (- 0) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow z 2))))) into 0 0.268 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.268 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.268 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.268 * [taylor]: Taking taylor expansion of z in z 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (* 1 1) into 1 0.269 * [backup-simplify]: Simplify (- 1) into -1 0.269 * [backup-simplify]: Simplify (- 1) into -1 0.269 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.270 * [backup-simplify]: Simplify (- 0) into 0 0.270 * [backup-simplify]: Simplify (- 1) into -1 0.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.271 * [taylor]: Taking taylor expansion of 0 in z 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.271 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.272 * [backup-simplify]: Simplify (- 0) into 0 0.272 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (pow y 2) (pow z 2))))) into 0 0.273 * [backup-simplify]: Simplify (+ (* (sqrt (- (pow y 2) (pow z 2))) 0) (+ (* 0 1) (* 0 0))) into 0 0.273 * [taylor]: Taking taylor expansion of 0 in y 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [taylor]: Taking taylor expansion of 0 in z 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [taylor]: Taking taylor expansion of 0 in z 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [taylor]: Taking taylor expansion of 0 in z 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify (* (/ 1 x) (sqrt (- (* (/ 1 y) (/ 1 y)) (* (/ 1 z) (/ 1 z))))) into (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) 0.273 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in (x y z) around 0 0.273 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in z 0.273 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.273 * [taylor]: Taking taylor expansion of x in z 0.273 * [backup-simplify]: Simplify x into x 0.273 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.273 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.273 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.273 * [taylor]: Taking taylor expansion of y in z 0.273 * [backup-simplify]: Simplify y into y 0.274 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.274 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.274 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.274 * [taylor]: Taking taylor expansion of z in z 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (* 1 1) into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.274 * [backup-simplify]: Simplify (- 1) into -1 0.275 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.275 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.276 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.276 * [taylor]: Taking taylor expansion of x in y 0.276 * [backup-simplify]: Simplify x into x 0.276 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.276 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.277 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (* 1 1) into 1 0.277 * [backup-simplify]: Simplify (/ 1 1) into 1 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.277 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.277 * [taylor]: Taking taylor expansion of z in y 0.277 * [backup-simplify]: Simplify z into z 0.277 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.277 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.277 * [backup-simplify]: Simplify (+ 1 0) into 1 0.278 * [backup-simplify]: Simplify (sqrt 1) into 1 0.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.279 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.279 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in x 0.279 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [backup-simplify]: Simplify y into y 0.279 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.280 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.280 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.280 * [taylor]: Taking taylor expansion of z in x 0.280 * [backup-simplify]: Simplify z into z 0.280 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.280 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.280 * [backup-simplify]: Simplify (- (/ 1 (pow z 2))) into (- (/ 1 (pow z 2))) 0.280 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (- (/ 1 (pow z 2)))) into (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) 0.280 * [backup-simplify]: Simplify (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) into (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0.280 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.280 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.281 * [backup-simplify]: Simplify (- 0) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) into 0 0.281 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (/ 1 1) into 1 0.282 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in x 0.282 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.282 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [backup-simplify]: Simplify y into y 0.282 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.282 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.282 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.282 * [taylor]: Taking taylor expansion of z in x 0.282 * [backup-simplify]: Simplify z into z 0.282 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.282 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.282 * [backup-simplify]: Simplify (- (/ 1 (pow z 2))) into (- (/ 1 (pow z 2))) 0.282 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (- (/ 1 (pow z 2)))) into (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) 0.283 * [backup-simplify]: Simplify (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) into (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0.283 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.283 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.283 * [backup-simplify]: Simplify (- 0) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) into 0 0.284 * [backup-simplify]: Simplify (* 1 (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) into (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0.284 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.284 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (* 1 1) into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.285 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.285 * [taylor]: Taking taylor expansion of z in y 0.285 * [backup-simplify]: Simplify z into z 0.285 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.285 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.285 * [backup-simplify]: Simplify (+ 1 0) into 1 0.285 * [backup-simplify]: Simplify (sqrt 1) into 1 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.287 * [taylor]: Taking taylor expansion of 1 in z 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) into 0 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [taylor]: Taking taylor expansion of 0 in z 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.288 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.289 * [backup-simplify]: Simplify (- 0) into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))))) into 0 0.291 * [taylor]: Taking taylor expansion of 0 in y 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [taylor]: Taking taylor expansion of 0 in z 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (- (/ 1 (pow z 2))) into (- (/ 1 (pow z 2))) 0.292 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow z 2)))) into (- (/ 1 (pow z 2))) 0.293 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow z 2)) 0.293 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.293 * [taylor]: Taking taylor expansion of -1/2 in z 0.293 * [backup-simplify]: Simplify -1/2 into -1/2 0.293 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.293 * [taylor]: Taking taylor expansion of z in z 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (* 1 1) into 1 0.293 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.295 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 0) (* 0 z)))) into 0 0.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.296 * [backup-simplify]: Simplify (- 0) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) into 0 0.298 * [taylor]: Taking taylor expansion of 0 in y 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [taylor]: Taking taylor expansion of 0 in z 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [taylor]: Taking taylor expansion of 0 in z 0.298 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.300 * [backup-simplify]: Simplify (- 0) into 0 0.300 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow z 2)))))) (* 2 1)) into 0 0.300 * [taylor]: Taking taylor expansion of 0 in z 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (* 1 (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (* x y) 0.302 * [backup-simplify]: Simplify (* (/ 1 (- x)) (sqrt (- (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- z)) (/ 1 (- z)))))) into (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) 0.302 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in (x y z) around 0 0.302 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in z 0.302 * [taylor]: Taking taylor expansion of -1 in z 0.302 * [backup-simplify]: Simplify -1 into -1 0.302 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in z 0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.302 * [taylor]: Taking taylor expansion of x in z 0.302 * [backup-simplify]: Simplify x into x 0.302 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.302 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.302 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.302 * [taylor]: Taking taylor expansion of y in z 0.302 * [backup-simplify]: Simplify y into y 0.302 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.302 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.302 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.302 * [taylor]: Taking taylor expansion of z in z 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (* 1 1) into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [backup-simplify]: Simplify (- 1) into -1 0.303 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.303 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (- 0) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.305 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in y 0.305 * [taylor]: Taking taylor expansion of -1 in y 0.305 * [backup-simplify]: Simplify -1 into -1 0.305 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in y 0.305 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.305 * [taylor]: Taking taylor expansion of x in y 0.305 * [backup-simplify]: Simplify x into x 0.305 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.305 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.305 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.305 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.305 * [taylor]: Taking taylor expansion of y in y 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (* 1 1) into 1 0.306 * [backup-simplify]: Simplify (/ 1 1) into 1 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.306 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.306 * [taylor]: Taking taylor expansion of z in y 0.306 * [backup-simplify]: Simplify z into z 0.306 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.306 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.306 * [backup-simplify]: Simplify (+ 1 0) into 1 0.306 * [backup-simplify]: Simplify (sqrt 1) into 1 0.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.308 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in x 0.308 * [taylor]: Taking taylor expansion of -1 in x 0.308 * [backup-simplify]: Simplify -1 into -1 0.308 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (/ 1 1) into 1 0.308 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in x 0.308 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.308 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [backup-simplify]: Simplify y into y 0.308 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.308 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.308 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.308 * [taylor]: Taking taylor expansion of z in x 0.308 * [backup-simplify]: Simplify z into z 0.308 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.309 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.309 * [backup-simplify]: Simplify (- (/ 1 (pow z 2))) into (- (/ 1 (pow z 2))) 0.309 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (- (/ 1 (pow z 2)))) into (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) 0.309 * [backup-simplify]: Simplify (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) into (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0.309 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.309 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.310 * [backup-simplify]: Simplify (- 0) into 0 0.310 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) into 0 0.310 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) in x 0.310 * [taylor]: Taking taylor expansion of -1 in x 0.310 * [backup-simplify]: Simplify -1 into -1 0.310 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in x 0.310 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.310 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.310 * [taylor]: Taking taylor expansion of y in x 0.311 * [backup-simplify]: Simplify y into y 0.311 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.311 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.311 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.311 * [taylor]: Taking taylor expansion of z in x 0.311 * [backup-simplify]: Simplify z into z 0.311 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.311 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.311 * [backup-simplify]: Simplify (- (/ 1 (pow z 2))) into (- (/ 1 (pow z 2))) 0.311 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (- (/ 1 (pow z 2)))) into (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) 0.311 * [backup-simplify]: Simplify (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) into (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0.311 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.312 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.312 * [backup-simplify]: Simplify (- 0) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) into 0 0.313 * [backup-simplify]: Simplify (* 1 (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) into (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0.313 * [backup-simplify]: Simplify (* -1 (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) into (* -1 (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) 0.313 * [taylor]: Taking taylor expansion of (* -1 (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))) in y 0.313 * [taylor]: Taking taylor expansion of -1 in y 0.313 * [backup-simplify]: Simplify -1 into -1 0.313 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.313 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.313 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (* 1 1) into 1 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.313 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.313 * [taylor]: Taking taylor expansion of z in y 0.313 * [backup-simplify]: Simplify z into z 0.314 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.314 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.314 * [backup-simplify]: Simplify (+ 1 0) into 1 0.314 * [backup-simplify]: Simplify (sqrt 1) into 1 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.316 * [backup-simplify]: Simplify (* -1 1) into -1 0.316 * [taylor]: Taking taylor expansion of -1 in z 0.316 * [backup-simplify]: Simplify -1 into -1 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) into 0 0.317 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) into 0 0.317 * [taylor]: Taking taylor expansion of 0 in y 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.317 * [taylor]: Taking taylor expansion of 0 in z 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify -1 into -1 0.318 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.318 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))))) into 0 0.322 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2))))))) into 0 0.322 * [taylor]: Taking taylor expansion of 0 in y 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [taylor]: Taking taylor expansion of 0 in z 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (- (/ 1 (pow z 2))) into (- (/ 1 (pow z 2))) 0.323 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow z 2)))) into (- (/ 1 (pow z 2))) 0.324 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow z 2)) 0.324 * [backup-simplify]: Simplify (+ (* -1 (/ -1/2 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.324 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.324 * [taylor]: Taking taylor expansion of 1/2 in z 0.324 * [backup-simplify]: Simplify 1/2 into 1/2 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.324 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.324 * [taylor]: Taking taylor expansion of z in z 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (* 1 1) into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.327 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 0) (* 0 z)))) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.328 * [backup-simplify]: Simplify (- 0) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))) into 0 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) into 0 0.331 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) into 0 0.331 * [taylor]: Taking taylor expansion of 0 in y 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [taylor]: Taking taylor expansion of 0 in z 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [taylor]: Taking taylor expansion of 0 in z 0.331 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.337 * [backup-simplify]: Simplify (- 0) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow z 2)))))) (* 2 1)) into 0 0.338 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ -1/2 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.338 * [taylor]: Taking taylor expansion of 0 in z 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify (* -1 (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (* -1 (* x y)) 0.340 * * * [progress]: simplifying candidates 0.341 * [simplify]: Simplifying: (expm1 (sqrt (- (* y y) (* z z)))) (log1p (sqrt (- (* y y) (* z z)))) (log (sqrt (- (* y y) (* z z)))) (exp (sqrt (- (* y y) (* z z)))) (* (cbrt (sqrt (- (* y y) (* z z)))) (cbrt (sqrt (- (* y y) (* z z))))) (cbrt (sqrt (- (* y y) (* z z)))) (* (* (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z)))) (sqrt (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z))))) (sqrt (cbrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt 1) (sqrt (- (* y y) (* z z))) (sqrt (+ y z)) (sqrt (- y z)) (sqrt (- (pow (* y y) 3) (pow (* z z) 3))) (sqrt (+ (* (* y y) (* y y)) (+ (* (* z z) (* z z)) (* (* y y) (* z z))))) (sqrt (- (* (* y y) (* y y)) (* (* z z) (* z z)))) (sqrt (+ (* y y) (* z z))) (/ 1 2) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (fma y y (- (* z z))) (fma (- z) z (* z z)) (expm1 (- (* y y) (* z z))) (log1p (- (* y y) (* z z))) (- (* z z)) (/ (exp (* y y)) (exp (* z z))) (log (- (* y y) (* z z))) (exp (- (* y y) (* z z))) (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))) (cbrt (- (* y y) (* z z))) (* (* (- (* y y) (* z z)) (- (* y y) (* z z))) (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))) (- (pow (* y y) 3) (pow (* z z) 3)) (+ (* (* y y) (* y y)) (+ (* (* z z) (* z z)) (* (* y y) (* z z)))) (- (* z z)) (- (* (* y y) (* y y)) (* (* z z) (* z z))) (+ (* y y) (* z z)) (+ y z) (- y z) (- (* z z)) (expm1 (* x (sqrt (- (* y y) (* z z))))) (log1p (* x (sqrt (- (* y y) (* z z))))) (* x (sqrt (- (* y y) (* z z)))) (+ (log x) (log (sqrt (- (* y y) (* z z))))) (log (* x (sqrt (- (* y y) (* z z))))) (exp (* x (sqrt (- (* y y) (* z z))))) (* (* (* x x) x) (* (* (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))))) (* (cbrt (* x (sqrt (- (* y y) (* z z))))) (cbrt (* x (sqrt (- (* y y) (* z z)))))) (cbrt (* x (sqrt (- (* y y) (* z z))))) (* (* (* x (sqrt (- (* y y) (* z z)))) (* x (sqrt (- (* y y) (* z z))))) (* x (sqrt (- (* y y) (* z z))))) (sqrt (* x (sqrt (- (* y y) (* z z))))) (sqrt (* x (sqrt (- (* y y) (* z z))))) (* (sqrt x) (sqrt (sqrt (- (* y y) (* z z))))) (* (sqrt x) (sqrt (sqrt (- (* y y) (* z z))))) (* (sqrt x) (sqrt (sqrt (- (* y y) (* z z))))) (* (sqrt x) (sqrt (sqrt (- (* y y) (* z z))))) (* x (* (cbrt (sqrt (- (* y y) (* z z)))) (cbrt (sqrt (- (* y y) (* z z)))))) (* x (sqrt (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))))) (* x (sqrt (sqrt (- (* y y) (* z z))))) (* x (sqrt 1)) (* x (sqrt (+ y z))) (* x (sqrt (sqrt (- (* y y) (* z z))))) (* x 1) (* (cbrt x) (sqrt (- (* y y) (* z z)))) (* (sqrt x) (sqrt (- (* y y) (* z z)))) (* x (sqrt (- (* y y) (* z z)))) (* x (sqrt (- (pow (* y y) 3) (pow (* z z) 3)))) (* x (sqrt (- (* (* y y) (* y y)) (* (* z z) (* z z))))) (* z (sqrt -1)) y (* -1 y) (- (pow y 2) (pow z 2)) (- (pow y 2) (pow z 2)) (- (pow y 2) (pow z 2)) 0 (* x y) (* -1 (* x y)) 0.341 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (- (* h0 h0) (* h1 h1)))) (log1p (sqrt (- (* h0 h0) (* h1 h1)))) (log (sqrt (- (* h0 h0) (* h1 h1)))) (exp (sqrt (- (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (- (* h0 h0) (* h1 h1)))) (cbrt (sqrt (- (* h0 h0) (* h1 h1))))) (cbrt (sqrt (- (* h0 h0) (* h1 h1)))) (* (* (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (- (* h0 h0) (* h1 h1))))) (sqrt (cbrt (- (* h0 h0) (* h1 h1)))) (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (+ h0 h1)) (sqrt (- h0 h1)) (sqrt (- (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (fma h0 h0 (- (* h1 h1))) (fma (- h1) h1 (* h1 h1)) (expm1 (- (* h0 h0) (* h1 h1))) (log1p (- (* h0 h0) (* h1 h1))) (- (* h1 h1)) (/ (exp (* h0 h0)) (exp (* h1 h1))) (log (- (* h0 h0) (* h1 h1))) (exp (- (* h0 h0) (* h1 h1))) (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (- (* h0 h0) (* h1 h1)))) (cbrt (- (* h0 h0) (* h1 h1))) (* (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1))) (- (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (+ (* h0 h0) (* h1 h1)) (+ h0 h1) (- h0 h1) (- (* h1 h1)) (expm1 (* h2 (sqrt (- (* h0 h0) (* h1 h1))))) (log1p (* h2 (sqrt (- (* h0 h0) (* h1 h1))))) (* h2 (sqrt (- (* h0 h0) (* h1 h1)))) (+ (log h2) (log (sqrt (- (* h0 h0) (* h1 h1))))) (log (* h2 (sqrt (- (* h0 h0) (* h1 h1))))) (exp (* h2 (sqrt (- (* h0 h0) (* h1 h1))))) (* (* (* h2 h2) h2) (* (* (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))))) (* (cbrt (* h2 (sqrt (- (* h0 h0) (* h1 h1))))) (cbrt (* h2 (sqrt (- (* h0 h0) (* h1 h1)))))) (cbrt (* h2 (sqrt (- (* h0 h0) (* h1 h1))))) (* (* (* h2 (sqrt (- (* h0 h0) (* h1 h1)))) (* h2 (sqrt (- (* h0 h0) (* h1 h1))))) (* h2 (sqrt (- (* h0 h0) (* h1 h1))))) (sqrt (* h2 (sqrt (- (* h0 h0) (* h1 h1))))) (sqrt (* h2 (sqrt (- (* h0 h0) (* h1 h1))))) (* (sqrt h2) (sqrt (sqrt (- (* h0 h0) (* h1 h1))))) (* (sqrt h2) (sqrt (sqrt (- (* h0 h0) (* h1 h1))))) (* (sqrt h2) (sqrt (sqrt (- (* h0 h0) (* h1 h1))))) (* (sqrt h2) (sqrt (sqrt (- (* h0 h0) (* h1 h1))))) (* h2 (* (cbrt (sqrt (- (* h0 h0) (* h1 h1)))) (cbrt (sqrt (- (* h0 h0) (* h1 h1)))))) (* h2 (sqrt (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (- (* h0 h0) (* h1 h1)))))) (* h2 (sqrt (sqrt (- (* h0 h0) (* h1 h1))))) (* h2 (sqrt 1)) (* h2 (sqrt (+ h0 h1))) (* h2 (sqrt (sqrt (- (* h0 h0) (* h1 h1))))) (* h2 1) (* (cbrt h2) (sqrt (- (* h0 h0) (* h1 h1)))) (* (sqrt h2) (sqrt (- (* h0 h0) (* h1 h1)))) (* h2 (sqrt (- (* h0 h0) (* h1 h1)))) (* h2 (sqrt (- (pow (* h0 h0) 3) (pow (* h1 h1) 3)))) (* h2 (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))) (* h1 (sqrt -1)) h0 (* -1 h0) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) 0 (* h2 h0) (* -1 (* h2 h0)) 0.346 * * [simplify]: iteration 0 : 202 enodes (cost 397 ) 0.350 * * [simplify]: iteration 1 : 786 enodes (cost 374 ) 0.365 * * [simplify]: iteration 2 : 3192 enodes (cost 368 ) 0.417 * * [simplify]: iteration 3 : 5001 enodes (cost 364 ) 0.419 * * * [progress]: adding candidates to table 0.565 * * [progress]: iteration 2 / 4 0.565 * * * [progress]: picking best candidate 0.570 * * * * [pick]: Picked # 0.570 * * * [progress]: localizing error 0.579 * * * [progress]: generating rewritten candidates 0.579 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 0.590 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.600 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 0.608 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 0.620 * * * [progress]: generating series expansions 0.621 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 0.621 * [backup-simplify]: Simplify (sqrt (- (* y y) (* z z))) into (sqrt (- (pow y 2) (pow z 2))) 0.621 * [approximate]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in (y z) around 0 0.621 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.621 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.621 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.621 * [taylor]: Taking taylor expansion of y in z 0.621 * [backup-simplify]: Simplify y into y 0.621 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.621 * [taylor]: Taking taylor expansion of z in z 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify 1 into 1 0.621 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.621 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.621 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.621 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.622 * [backup-simplify]: Simplify (+ 0 0) into 0 0.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.622 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.622 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.622 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.622 * [taylor]: Taking taylor expansion of y in y 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify 1 into 1 0.622 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.622 * [taylor]: Taking taylor expansion of z in y 0.622 * [backup-simplify]: Simplify z into z 0.622 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.622 * [backup-simplify]: Simplify (- (pow z 2)) into (- (pow z 2)) 0.622 * [backup-simplify]: Simplify (+ 0 (- (pow z 2))) into (- (pow z 2)) 0.622 * [backup-simplify]: Simplify (sqrt (- (pow z 2))) into (sqrt (- (pow z 2))) 0.622 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.623 * [backup-simplify]: Simplify (- 0) into 0 0.623 * [backup-simplify]: Simplify (+ 0 0) into 0 0.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow z 2))))) into 0 0.623 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.623 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.623 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.623 * [taylor]: Taking taylor expansion of y in y 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify 1 into 1 0.623 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.623 * [taylor]: Taking taylor expansion of z in y 0.623 * [backup-simplify]: Simplify z into z 0.623 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.623 * [backup-simplify]: Simplify (- (pow z 2)) into (- (pow z 2)) 0.623 * [backup-simplify]: Simplify (+ 0 (- (pow z 2))) into (- (pow z 2)) 0.623 * [backup-simplify]: Simplify (sqrt (- (pow z 2))) into (sqrt (- (pow z 2))) 0.624 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.624 * [backup-simplify]: Simplify (- 0) into 0 0.624 * [backup-simplify]: Simplify (+ 0 0) into 0 0.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow z 2))))) into 0 0.624 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.624 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.624 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.624 * [taylor]: Taking taylor expansion of z in z 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.625 * [backup-simplify]: Simplify (* 1 1) into 1 0.625 * [backup-simplify]: Simplify (- 1) into -1 0.625 * [backup-simplify]: Simplify (- 1) into -1 0.625 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.626 * [backup-simplify]: Simplify (- 0) into 0 0.626 * [backup-simplify]: Simplify (- 1) into -1 0.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.626 * [taylor]: Taking taylor expansion of 0 in z 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.627 * [backup-simplify]: Simplify (* 1 1) into 1 0.627 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.627 * [backup-simplify]: Simplify (- 0) into 0 0.628 * [backup-simplify]: Simplify (+ 1 0) into 1 0.628 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- (pow z 2))))) into (/ 1/2 (sqrt (- (pow z 2)))) 0.628 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow z 2)))) in z 0.628 * [taylor]: Taking taylor expansion of 1/2 in z 0.628 * [backup-simplify]: Simplify 1/2 into 1/2 0.628 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.628 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.628 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.628 * [taylor]: Taking taylor expansion of z in z 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify 1 into 1 0.629 * [backup-simplify]: Simplify (* 1 1) into 1 0.629 * [backup-simplify]: Simplify (- 1) into -1 0.629 * [backup-simplify]: Simplify (- 1) into -1 0.629 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.630 * [backup-simplify]: Simplify (- 0) into 0 0.630 * [backup-simplify]: Simplify (- 1) into -1 0.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.631 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 0.632 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.633 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 0) (* 0 z)))) into 0 0.633 * [backup-simplify]: Simplify (- 0) into 0 0.633 * [backup-simplify]: Simplify (+ 0 0) into 0 0.633 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (pow z 2)))))))) (* 2 (sqrt (- (pow z 2))))) into 0 0.633 * [taylor]: Taking taylor expansion of 0 in z 0.633 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.634 * [backup-simplify]: Simplify (- 0) into 0 0.635 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 0.635 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify (* (sqrt -1) (* z 1)) into (* z (sqrt -1)) 0.636 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 y) (/ 1 y)) (* (/ 1 z) (/ 1 z)))) into (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0.636 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.636 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.636 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.636 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.636 * [taylor]: Taking taylor expansion of y in z 0.636 * [backup-simplify]: Simplify y into y 0.636 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.636 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.636 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.636 * [taylor]: Taking taylor expansion of z in z 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify 1 into 1 0.636 * [backup-simplify]: Simplify (* 1 1) into 1 0.637 * [backup-simplify]: Simplify (/ 1 1) into 1 0.637 * [backup-simplify]: Simplify (- 1) into -1 0.637 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.637 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.638 * [backup-simplify]: Simplify (- 0) into 0 0.638 * [backup-simplify]: Simplify (+ 0 0) into 0 0.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.639 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.639 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.639 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.639 * [taylor]: Taking taylor expansion of y in y 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify 1 into 1 0.639 * [backup-simplify]: Simplify (* 1 1) into 1 0.639 * [backup-simplify]: Simplify (/ 1 1) into 1 0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.639 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.639 * [taylor]: Taking taylor expansion of z in y 0.639 * [backup-simplify]: Simplify z into z 0.640 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.640 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.640 * [backup-simplify]: Simplify (+ 1 0) into 1 0.640 * [backup-simplify]: Simplify (sqrt 1) into 1 0.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.641 * [backup-simplify]: Simplify (+ 0 0) into 0 0.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.642 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.642 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.642 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.642 * [taylor]: Taking taylor expansion of y in y 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify 1 into 1 0.642 * [backup-simplify]: Simplify (* 1 1) into 1 0.642 * [backup-simplify]: Simplify (/ 1 1) into 1 0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.642 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.642 * [taylor]: Taking taylor expansion of z in y 0.642 * [backup-simplify]: Simplify z into z 0.642 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.642 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.643 * [backup-simplify]: Simplify (+ 1 0) into 1 0.643 * [backup-simplify]: Simplify (sqrt 1) into 1 0.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.644 * [backup-simplify]: Simplify (+ 0 0) into 0 0.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.644 * [taylor]: Taking taylor expansion of 1 in z 0.644 * [backup-simplify]: Simplify 1 into 1 0.644 * [taylor]: Taking taylor expansion of 0 in z 0.644 * [backup-simplify]: Simplify 0 into 0 0.644 * [backup-simplify]: Simplify 1 into 1 0.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.645 * [backup-simplify]: Simplify (- (/ 1 (pow z 2))) into (- (/ 1 (pow z 2))) 0.645 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow z 2)))) into (- (/ 1 (pow z 2))) 0.646 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow z 2)) 0.646 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.646 * [taylor]: Taking taylor expansion of -1/2 in z 0.646 * [backup-simplify]: Simplify -1/2 into -1/2 0.646 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.646 * [taylor]: Taking taylor expansion of z in z 0.646 * [backup-simplify]: Simplify 0 into 0 0.646 * [backup-simplify]: Simplify 1 into 1 0.647 * [backup-simplify]: Simplify (* 1 1) into 1 0.647 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.649 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.649 * [backup-simplify]: Simplify (- 0) into 0 0.650 * [backup-simplify]: Simplify (+ 0 0) into 0 0.650 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow z 2)))))) (* 2 1)) into 0 0.650 * [taylor]: Taking taylor expansion of 0 in z 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y)))) into y 0.651 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0.651 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.651 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.651 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.651 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.651 * [taylor]: Taking taylor expansion of y in z 0.651 * [backup-simplify]: Simplify y into y 0.651 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.652 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.652 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.652 * [taylor]: Taking taylor expansion of z in z 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 1 into 1 0.652 * [backup-simplify]: Simplify (* 1 1) into 1 0.652 * [backup-simplify]: Simplify (/ 1 1) into 1 0.652 * [backup-simplify]: Simplify (- 1) into -1 0.653 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.653 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.654 * [backup-simplify]: Simplify (- 0) into 0 0.654 * [backup-simplify]: Simplify (+ 0 0) into 0 0.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.654 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.654 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.654 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.654 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.654 * [taylor]: Taking taylor expansion of y in y 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.655 * [backup-simplify]: Simplify (* 1 1) into 1 0.655 * [backup-simplify]: Simplify (/ 1 1) into 1 0.655 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.655 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.655 * [taylor]: Taking taylor expansion of z in y 0.655 * [backup-simplify]: Simplify z into z 0.655 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.655 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.655 * [backup-simplify]: Simplify (+ 1 0) into 1 0.656 * [backup-simplify]: Simplify (sqrt 1) into 1 0.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.657 * [backup-simplify]: Simplify (+ 0 0) into 0 0.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.657 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.657 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.657 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.657 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.657 * [taylor]: Taking taylor expansion of y in y 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify 1 into 1 0.657 * [backup-simplify]: Simplify (* 1 1) into 1 0.657 * [backup-simplify]: Simplify (/ 1 1) into 1 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.658 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.658 * [taylor]: Taking taylor expansion of z in y 0.658 * [backup-simplify]: Simplify z into z 0.658 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.658 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.658 * [backup-simplify]: Simplify (+ 1 0) into 1 0.658 * [backup-simplify]: Simplify (sqrt 1) into 1 0.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.659 * [backup-simplify]: Simplify (+ 0 0) into 0 0.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.660 * [taylor]: Taking taylor expansion of 1 in z 0.660 * [backup-simplify]: Simplify 1 into 1 0.660 * [taylor]: Taking taylor expansion of 0 in z 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify 1 into 1 0.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.661 * [backup-simplify]: Simplify (- (/ 1 (pow z 2))) into (- (/ 1 (pow z 2))) 0.661 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow z 2)))) into (- (/ 1 (pow z 2))) 0.662 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow z 2)) 0.662 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.662 * [taylor]: Taking taylor expansion of -1/2 in z 0.662 * [backup-simplify]: Simplify -1/2 into -1/2 0.662 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.662 * [taylor]: Taking taylor expansion of z in z 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify 1 into 1 0.662 * [backup-simplify]: Simplify (* 1 1) into 1 0.662 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.664 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.665 * [backup-simplify]: Simplify (- 0) into 0 0.665 * [backup-simplify]: Simplify (+ 0 0) into 0 0.665 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow z 2)))))) (* 2 1)) into 0 0.665 * [taylor]: Taking taylor expansion of 0 in z 0.665 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y))))) into (* -1 y) 0.666 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.667 * [backup-simplify]: Simplify (sqrt (- (* y y) (* z z))) into (sqrt (- (pow y 2) (pow z 2))) 0.667 * [approximate]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in (y z) around 0 0.667 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.667 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.667 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.667 * [taylor]: Taking taylor expansion of y in z 0.667 * [backup-simplify]: Simplify y into y 0.667 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.667 * [taylor]: Taking taylor expansion of z in z 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify 1 into 1 0.667 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.667 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.667 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.667 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.667 * [backup-simplify]: Simplify (+ 0 0) into 0 0.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.667 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.667 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.667 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.667 * [taylor]: Taking taylor expansion of y in y 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify 1 into 1 0.667 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.667 * [taylor]: Taking taylor expansion of z in y 0.667 * [backup-simplify]: Simplify z into z 0.667 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.668 * [backup-simplify]: Simplify (- (pow z 2)) into (- (pow z 2)) 0.668 * [backup-simplify]: Simplify (+ 0 (- (pow z 2))) into (- (pow z 2)) 0.668 * [backup-simplify]: Simplify (sqrt (- (pow z 2))) into (sqrt (- (pow z 2))) 0.668 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.668 * [backup-simplify]: Simplify (- 0) into 0 0.668 * [backup-simplify]: Simplify (+ 0 0) into 0 0.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow z 2))))) into 0 0.668 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.668 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.668 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.668 * [taylor]: Taking taylor expansion of y in y 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 1 into 1 0.668 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.669 * [taylor]: Taking taylor expansion of z in y 0.669 * [backup-simplify]: Simplify z into z 0.669 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.669 * [backup-simplify]: Simplify (- (pow z 2)) into (- (pow z 2)) 0.669 * [backup-simplify]: Simplify (+ 0 (- (pow z 2))) into (- (pow z 2)) 0.669 * [backup-simplify]: Simplify (sqrt (- (pow z 2))) into (sqrt (- (pow z 2))) 0.669 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.669 * [backup-simplify]: Simplify (- 0) into 0 0.669 * [backup-simplify]: Simplify (+ 0 0) into 0 0.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow z 2))))) into 0 0.670 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.670 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.670 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.670 * [taylor]: Taking taylor expansion of z in z 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify 1 into 1 0.670 * [backup-simplify]: Simplify (* 1 1) into 1 0.670 * [backup-simplify]: Simplify (- 1) into -1 0.670 * [backup-simplify]: Simplify (- 1) into -1 0.670 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.671 * [backup-simplify]: Simplify (- 0) into 0 0.671 * [backup-simplify]: Simplify (- 1) into -1 0.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.672 * [taylor]: Taking taylor expansion of 0 in z 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.672 * [backup-simplify]: Simplify (* 1 1) into 1 0.672 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.673 * [backup-simplify]: Simplify (- 0) into 0 0.673 * [backup-simplify]: Simplify (+ 1 0) into 1 0.673 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- (pow z 2))))) into (/ 1/2 (sqrt (- (pow z 2)))) 0.673 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow z 2)))) in z 0.673 * [taylor]: Taking taylor expansion of 1/2 in z 0.673 * [backup-simplify]: Simplify 1/2 into 1/2 0.673 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.674 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.674 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.674 * [taylor]: Taking taylor expansion of z in z 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 1 into 1 0.674 * [backup-simplify]: Simplify (* 1 1) into 1 0.674 * [backup-simplify]: Simplify (- 1) into -1 0.674 * [backup-simplify]: Simplify (- 1) into -1 0.674 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.675 * [backup-simplify]: Simplify (- 0) into 0 0.675 * [backup-simplify]: Simplify (- 1) into -1 0.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.676 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 0.677 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 0.677 * [backup-simplify]: Simplify 0 into 0 0.677 * [backup-simplify]: Simplify 0 into 0 0.677 * [backup-simplify]: Simplify 0 into 0 0.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.678 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 0) (* 0 z)))) into 0 0.678 * [backup-simplify]: Simplify (- 0) into 0 0.678 * [backup-simplify]: Simplify (+ 0 0) into 0 0.679 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- (pow z 2)))))))) (* 2 (sqrt (- (pow z 2))))) into 0 0.679 * [taylor]: Taking taylor expansion of 0 in z 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.679 * [backup-simplify]: Simplify (- 0) into 0 0.680 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 0.681 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ 1/2 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify (* (sqrt -1) (* z 1)) into (* z (sqrt -1)) 0.681 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 y) (/ 1 y)) (* (/ 1 z) (/ 1 z)))) into (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0.681 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.681 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.681 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.681 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.681 * [taylor]: Taking taylor expansion of y in z 0.681 * [backup-simplify]: Simplify y into y 0.681 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.681 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.681 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.681 * [taylor]: Taking taylor expansion of z in z 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify 1 into 1 0.682 * [backup-simplify]: Simplify (* 1 1) into 1 0.682 * [backup-simplify]: Simplify (/ 1 1) into 1 0.682 * [backup-simplify]: Simplify (- 1) into -1 0.682 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.683 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.683 * [backup-simplify]: Simplify (- 0) into 0 0.684 * [backup-simplify]: Simplify (+ 0 0) into 0 0.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.684 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.684 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.684 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.684 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.684 * [taylor]: Taking taylor expansion of y in y 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify 1 into 1 0.684 * [backup-simplify]: Simplify (* 1 1) into 1 0.685 * [backup-simplify]: Simplify (/ 1 1) into 1 0.685 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.685 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.685 * [taylor]: Taking taylor expansion of z in y 0.685 * [backup-simplify]: Simplify z into z 0.685 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.685 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.685 * [backup-simplify]: Simplify (+ 1 0) into 1 0.685 * [backup-simplify]: Simplify (sqrt 1) into 1 0.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.687 * [backup-simplify]: Simplify (+ 0 0) into 0 0.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.687 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.687 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.687 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.687 * [taylor]: Taking taylor expansion of y in y 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 1 into 1 0.687 * [backup-simplify]: Simplify (* 1 1) into 1 0.687 * [backup-simplify]: Simplify (/ 1 1) into 1 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.687 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.687 * [taylor]: Taking taylor expansion of z in y 0.688 * [backup-simplify]: Simplify z into z 0.688 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.688 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.688 * [backup-simplify]: Simplify (+ 1 0) into 1 0.688 * [backup-simplify]: Simplify (sqrt 1) into 1 0.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.689 * [backup-simplify]: Simplify (+ 0 0) into 0 0.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.690 * [taylor]: Taking taylor expansion of 1 in z 0.690 * [backup-simplify]: Simplify 1 into 1 0.690 * [taylor]: Taking taylor expansion of 0 in z 0.690 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify 1 into 1 0.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.691 * [backup-simplify]: Simplify (- (/ 1 (pow z 2))) into (- (/ 1 (pow z 2))) 0.691 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow z 2)))) into (- (/ 1 (pow z 2))) 0.692 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow z 2)) 0.692 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.692 * [taylor]: Taking taylor expansion of -1/2 in z 0.692 * [backup-simplify]: Simplify -1/2 into -1/2 0.692 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.692 * [taylor]: Taking taylor expansion of z in z 0.692 * [backup-simplify]: Simplify 0 into 0 0.692 * [backup-simplify]: Simplify 1 into 1 0.692 * [backup-simplify]: Simplify (* 1 1) into 1 0.692 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.694 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.695 * [backup-simplify]: Simplify (- 0) into 0 0.695 * [backup-simplify]: Simplify (+ 0 0) into 0 0.695 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow z 2)))))) (* 2 1)) into 0 0.695 * [taylor]: Taking taylor expansion of 0 in z 0.695 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y)))) into y 0.697 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0.697 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.697 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.697 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.697 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.697 * [taylor]: Taking taylor expansion of y in z 0.697 * [backup-simplify]: Simplify y into y 0.697 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.697 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.697 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.697 * [taylor]: Taking taylor expansion of z in z 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 1 into 1 0.697 * [backup-simplify]: Simplify (* 1 1) into 1 0.697 * [backup-simplify]: Simplify (/ 1 1) into 1 0.698 * [backup-simplify]: Simplify (- 1) into -1 0.698 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.698 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.699 * [backup-simplify]: Simplify (- 0) into 0 0.699 * [backup-simplify]: Simplify (+ 0 0) into 0 0.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.700 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.700 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.700 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.700 * [taylor]: Taking taylor expansion of y in y 0.700 * [backup-simplify]: Simplify 0 into 0 0.700 * [backup-simplify]: Simplify 1 into 1 0.700 * [backup-simplify]: Simplify (* 1 1) into 1 0.700 * [backup-simplify]: Simplify (/ 1 1) into 1 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.700 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.700 * [taylor]: Taking taylor expansion of z in y 0.700 * [backup-simplify]: Simplify z into z 0.700 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.700 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.701 * [backup-simplify]: Simplify (+ 1 0) into 1 0.701 * [backup-simplify]: Simplify (sqrt 1) into 1 0.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.702 * [backup-simplify]: Simplify (+ 0 0) into 0 0.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.702 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.702 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.702 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.702 * [taylor]: Taking taylor expansion of y in y 0.702 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify 1 into 1 0.702 * [backup-simplify]: Simplify (* 1 1) into 1 0.703 * [backup-simplify]: Simplify (/ 1 1) into 1 0.703 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.703 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.703 * [taylor]: Taking taylor expansion of z in y 0.703 * [backup-simplify]: Simplify z into z 0.703 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.703 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.703 * [backup-simplify]: Simplify (+ 1 0) into 1 0.703 * [backup-simplify]: Simplify (sqrt 1) into 1 0.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.704 * [backup-simplify]: Simplify (+ 0 0) into 0 0.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.705 * [taylor]: Taking taylor expansion of 1 in z 0.705 * [backup-simplify]: Simplify 1 into 1 0.705 * [taylor]: Taking taylor expansion of 0 in z 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify 1 into 1 0.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.706 * [backup-simplify]: Simplify (- (/ 1 (pow z 2))) into (- (/ 1 (pow z 2))) 0.706 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow z 2)))) into (- (/ 1 (pow z 2))) 0.707 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow z 2)) 0.707 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.707 * [taylor]: Taking taylor expansion of -1/2 in z 0.707 * [backup-simplify]: Simplify -1/2 into -1/2 0.707 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.707 * [taylor]: Taking taylor expansion of z in z 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.707 * [backup-simplify]: Simplify (* 1 1) into 1 0.707 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.710 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.710 * [backup-simplify]: Simplify (- 0) into 0 0.710 * [backup-simplify]: Simplify (+ 0 0) into 0 0.711 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow z 2)))))) (* 2 1)) into 0 0.711 * [taylor]: Taking taylor expansion of 0 in z 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.712 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y))))) into (* -1 y) 0.712 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 0.712 * [backup-simplify]: Simplify (- (* y y) (* z z)) into (- (pow y 2) (pow z 2)) 0.712 * [approximate]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in (y z) around 0 0.712 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.712 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.712 * [taylor]: Taking taylor expansion of y in z 0.712 * [backup-simplify]: Simplify y into y 0.712 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.712 * [taylor]: Taking taylor expansion of z in z 0.712 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify 1 into 1 0.712 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.712 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.712 * [taylor]: Taking taylor expansion of y in y 0.712 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify 1 into 1 0.712 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.712 * [taylor]: Taking taylor expansion of z in y 0.712 * [backup-simplify]: Simplify z into z 0.712 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.712 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.712 * [taylor]: Taking taylor expansion of y in y 0.712 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify 1 into 1 0.712 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.712 * [taylor]: Taking taylor expansion of z in y 0.712 * [backup-simplify]: Simplify z into z 0.718 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.718 * [backup-simplify]: Simplify (- (pow z 2)) into (- (pow z 2)) 0.718 * [backup-simplify]: Simplify (+ 0 (- (pow z 2))) into (- (pow z 2)) 0.718 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.718 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.718 * [taylor]: Taking taylor expansion of z in z 0.718 * [backup-simplify]: Simplify 0 into 0 0.718 * [backup-simplify]: Simplify 1 into 1 0.718 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.718 * [backup-simplify]: Simplify (- 0) into 0 0.719 * [backup-simplify]: Simplify (+ 0 0) into 0 0.719 * [taylor]: Taking taylor expansion of 0 in z 0.719 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify (* 1 1) into 1 0.719 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.719 * [backup-simplify]: Simplify (- 0) into 0 0.720 * [backup-simplify]: Simplify (+ 1 0) into 1 0.720 * [taylor]: Taking taylor expansion of 1 in z 0.720 * [backup-simplify]: Simplify 1 into 1 0.720 * [backup-simplify]: Simplify 1 into 1 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify (* 1 1) into 1 0.720 * [backup-simplify]: Simplify (- 1) into -1 0.720 * [backup-simplify]: Simplify -1 into -1 0.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.721 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 0) (* 0 z)))) into 0 0.721 * [backup-simplify]: Simplify (- 0) into 0 0.721 * [backup-simplify]: Simplify (+ 0 0) into 0 0.721 * [taylor]: Taking taylor expansion of 0 in z 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.722 * [backup-simplify]: Simplify (- 0) into 0 0.722 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.723 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 z))))) into 0 0.723 * [backup-simplify]: Simplify (- 0) into 0 0.724 * [backup-simplify]: Simplify (+ 0 0) into 0 0.724 * [taylor]: Taking taylor expansion of 0 in z 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify (+ (* -1 (pow (* z 1) 2)) (* 1 (pow (* 1 y) 2))) into (- (pow y 2) (pow z 2)) 0.724 * [backup-simplify]: Simplify (- (* (/ 1 y) (/ 1 y)) (* (/ 1 z) (/ 1 z))) into (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) 0.724 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.724 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.724 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.724 * [taylor]: Taking taylor expansion of y in z 0.724 * [backup-simplify]: Simplify y into y 0.724 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.724 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.724 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.724 * [taylor]: Taking taylor expansion of z in z 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify 1 into 1 0.725 * [backup-simplify]: Simplify (* 1 1) into 1 0.725 * [backup-simplify]: Simplify (/ 1 1) into 1 0.725 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.725 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.725 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.725 * [taylor]: Taking taylor expansion of y in y 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 1 into 1 0.725 * [backup-simplify]: Simplify (* 1 1) into 1 0.725 * [backup-simplify]: Simplify (/ 1 1) into 1 0.725 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.725 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.725 * [taylor]: Taking taylor expansion of z in y 0.726 * [backup-simplify]: Simplify z into z 0.726 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.726 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.726 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.726 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.726 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.726 * [taylor]: Taking taylor expansion of y in y 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 1 into 1 0.726 * [backup-simplify]: Simplify (* 1 1) into 1 0.726 * [backup-simplify]: Simplify (/ 1 1) into 1 0.726 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.726 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.726 * [taylor]: Taking taylor expansion of z in y 0.726 * [backup-simplify]: Simplify z into z 0.726 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.726 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.727 * [backup-simplify]: Simplify (+ 1 0) into 1 0.727 * [taylor]: Taking taylor expansion of 1 in z 0.727 * [backup-simplify]: Simplify 1 into 1 0.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.728 * [backup-simplify]: Simplify (+ 0 0) into 0 0.728 * [taylor]: Taking taylor expansion of 0 in z 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.729 * [backup-simplify]: Simplify (- (/ 1 (pow z 2))) into (- (/ 1 (pow z 2))) 0.729 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow z 2)))) into (- (/ 1 (pow z 2))) 0.729 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.729 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.729 * [taylor]: Taking taylor expansion of z in z 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify 1 into 1 0.730 * [backup-simplify]: Simplify (* 1 1) into 1 0.730 * [backup-simplify]: Simplify (/ 1 1) into 1 0.730 * [backup-simplify]: Simplify (- 1) into -1 0.730 * [backup-simplify]: Simplify -1 into -1 0.730 * [backup-simplify]: Simplify 1 into 1 0.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.731 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.731 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.732 * [backup-simplify]: Simplify (- 0) into 0 0.732 * [backup-simplify]: Simplify (+ 0 0) into 0 0.732 * [taylor]: Taking taylor expansion of 0 in z 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.733 * [backup-simplify]: Simplify (- 0) into 0 0.733 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.734 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.734 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.735 * [backup-simplify]: Simplify (- 0) into 0 0.735 * [backup-simplify]: Simplify (+ 0 0) into 0 0.735 * [taylor]: Taking taylor expansion of 0 in z 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.736 * [backup-simplify]: Simplify (- 0) into 0 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* -1 (pow (* (/ 1 (/ 1 z)) 1) 2))) into (- (pow y 2) (pow z 2)) 0.737 * [backup-simplify]: Simplify (- (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- z)) (/ 1 (- z)))) into (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) 0.737 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.737 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.737 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.737 * [taylor]: Taking taylor expansion of y in z 0.737 * [backup-simplify]: Simplify y into y 0.737 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.737 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.737 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.737 * [taylor]: Taking taylor expansion of z in z 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 1 into 1 0.737 * [backup-simplify]: Simplify (* 1 1) into 1 0.737 * [backup-simplify]: Simplify (/ 1 1) into 1 0.737 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.737 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.737 * [taylor]: Taking taylor expansion of y in y 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 1 into 1 0.738 * [backup-simplify]: Simplify (* 1 1) into 1 0.738 * [backup-simplify]: Simplify (/ 1 1) into 1 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.738 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.738 * [taylor]: Taking taylor expansion of z in y 0.738 * [backup-simplify]: Simplify z into z 0.738 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.738 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.738 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.738 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.738 * [taylor]: Taking taylor expansion of y in y 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 1 into 1 0.738 * [backup-simplify]: Simplify (* 1 1) into 1 0.739 * [backup-simplify]: Simplify (/ 1 1) into 1 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.739 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.739 * [taylor]: Taking taylor expansion of z in y 0.739 * [backup-simplify]: Simplify z into z 0.739 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.739 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.739 * [backup-simplify]: Simplify (+ 1 0) into 1 0.739 * [taylor]: Taking taylor expansion of 1 in z 0.739 * [backup-simplify]: Simplify 1 into 1 0.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.740 * [backup-simplify]: Simplify (+ 0 0) into 0 0.740 * [taylor]: Taking taylor expansion of 0 in z 0.740 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.741 * [backup-simplify]: Simplify (- (/ 1 (pow z 2))) into (- (/ 1 (pow z 2))) 0.741 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow z 2)))) into (- (/ 1 (pow z 2))) 0.741 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.741 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.741 * [taylor]: Taking taylor expansion of z in z 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 1 into 1 0.742 * [backup-simplify]: Simplify (* 1 1) into 1 0.742 * [backup-simplify]: Simplify (/ 1 1) into 1 0.742 * [backup-simplify]: Simplify (- 1) into -1 0.742 * [backup-simplify]: Simplify -1 into -1 0.742 * [backup-simplify]: Simplify 1 into 1 0.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.743 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.743 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.744 * [backup-simplify]: Simplify (- 0) into 0 0.744 * [backup-simplify]: Simplify (+ 0 0) into 0 0.744 * [taylor]: Taking taylor expansion of 0 in z 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.745 * [backup-simplify]: Simplify (- 0) into 0 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.747 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.747 * [backup-simplify]: Simplify (- 0) into 0 0.747 * [backup-simplify]: Simplify (+ 0 0) into 0 0.747 * [taylor]: Taking taylor expansion of 0 in z 0.747 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.748 * [backup-simplify]: Simplify (- 0) into 0 0.748 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- z))) 1) 2))) into (- (pow y 2) (pow z 2)) 0.749 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 0.749 * [backup-simplify]: Simplify (- (* y y) (* z z)) into (- (pow y 2) (pow z 2)) 0.749 * [approximate]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in (y z) around 0 0.749 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.749 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.749 * [taylor]: Taking taylor expansion of y in z 0.749 * [backup-simplify]: Simplify y into y 0.749 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.749 * [taylor]: Taking taylor expansion of z in z 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.749 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.749 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.749 * [taylor]: Taking taylor expansion of y in y 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.749 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.749 * [taylor]: Taking taylor expansion of z in y 0.749 * [backup-simplify]: Simplify z into z 0.749 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.749 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.749 * [taylor]: Taking taylor expansion of y in y 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.749 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.749 * [taylor]: Taking taylor expansion of z in y 0.749 * [backup-simplify]: Simplify z into z 0.749 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.750 * [backup-simplify]: Simplify (- (pow z 2)) into (- (pow z 2)) 0.750 * [backup-simplify]: Simplify (+ 0 (- (pow z 2))) into (- (pow z 2)) 0.750 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.750 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.750 * [taylor]: Taking taylor expansion of z in z 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 1 into 1 0.750 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.750 * [backup-simplify]: Simplify (- 0) into 0 0.750 * [backup-simplify]: Simplify (+ 0 0) into 0 0.750 * [taylor]: Taking taylor expansion of 0 in z 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify (* 1 1) into 1 0.751 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.751 * [backup-simplify]: Simplify (- 0) into 0 0.751 * [backup-simplify]: Simplify (+ 1 0) into 1 0.751 * [taylor]: Taking taylor expansion of 1 in z 0.751 * [backup-simplify]: Simplify 1 into 1 0.751 * [backup-simplify]: Simplify 1 into 1 0.751 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify (* 1 1) into 1 0.752 * [backup-simplify]: Simplify (- 1) into -1 0.752 * [backup-simplify]: Simplify -1 into -1 0.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.753 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 0) (* 0 z)))) into 0 0.753 * [backup-simplify]: Simplify (- 0) into 0 0.753 * [backup-simplify]: Simplify (+ 0 0) into 0 0.753 * [taylor]: Taking taylor expansion of 0 in z 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.754 * [backup-simplify]: Simplify (- 0) into 0 0.754 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.755 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 z))))) into 0 0.755 * [backup-simplify]: Simplify (- 0) into 0 0.756 * [backup-simplify]: Simplify (+ 0 0) into 0 0.756 * [taylor]: Taking taylor expansion of 0 in z 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify (+ (* -1 (pow (* z 1) 2)) (* 1 (pow (* 1 y) 2))) into (- (pow y 2) (pow z 2)) 0.756 * [backup-simplify]: Simplify (- (* (/ 1 y) (/ 1 y)) (* (/ 1 z) (/ 1 z))) into (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) 0.756 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.756 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.756 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.756 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.756 * [taylor]: Taking taylor expansion of y in z 0.756 * [backup-simplify]: Simplify y into y 0.756 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.756 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.756 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.756 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.756 * [taylor]: Taking taylor expansion of z in z 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 1 into 1 0.757 * [backup-simplify]: Simplify (* 1 1) into 1 0.757 * [backup-simplify]: Simplify (/ 1 1) into 1 0.757 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.757 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.757 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.757 * [taylor]: Taking taylor expansion of y in y 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [backup-simplify]: Simplify (* 1 1) into 1 0.757 * [backup-simplify]: Simplify (/ 1 1) into 1 0.757 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.757 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.757 * [taylor]: Taking taylor expansion of z in y 0.758 * [backup-simplify]: Simplify z into z 0.758 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.758 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.758 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.758 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.758 * [taylor]: Taking taylor expansion of y in y 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [backup-simplify]: Simplify (* 1 1) into 1 0.758 * [backup-simplify]: Simplify (/ 1 1) into 1 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.758 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.758 * [taylor]: Taking taylor expansion of z in y 0.758 * [backup-simplify]: Simplify z into z 0.758 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.758 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.759 * [backup-simplify]: Simplify (+ 1 0) into 1 0.759 * [taylor]: Taking taylor expansion of 1 in z 0.759 * [backup-simplify]: Simplify 1 into 1 0.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.760 * [backup-simplify]: Simplify (+ 0 0) into 0 0.760 * [taylor]: Taking taylor expansion of 0 in z 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.761 * [backup-simplify]: Simplify (- (/ 1 (pow z 2))) into (- (/ 1 (pow z 2))) 0.761 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow z 2)))) into (- (/ 1 (pow z 2))) 0.761 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.761 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.761 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.761 * [taylor]: Taking taylor expansion of z in z 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify 1 into 1 0.761 * [backup-simplify]: Simplify (* 1 1) into 1 0.762 * [backup-simplify]: Simplify (/ 1 1) into 1 0.762 * [backup-simplify]: Simplify (- 1) into -1 0.762 * [backup-simplify]: Simplify -1 into -1 0.762 * [backup-simplify]: Simplify 1 into 1 0.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.763 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.764 * [backup-simplify]: Simplify (- 0) into 0 0.764 * [backup-simplify]: Simplify (+ 0 0) into 0 0.764 * [taylor]: Taking taylor expansion of 0 in z 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.765 * [backup-simplify]: Simplify (- 0) into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.767 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.767 * [backup-simplify]: Simplify (- 0) into 0 0.767 * [backup-simplify]: Simplify (+ 0 0) into 0 0.767 * [taylor]: Taking taylor expansion of 0 in z 0.767 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.769 * [backup-simplify]: Simplify (- 0) into 0 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* -1 (pow (* (/ 1 (/ 1 z)) 1) 2))) into (- (pow y 2) (pow z 2)) 0.769 * [backup-simplify]: Simplify (- (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- z)) (/ 1 (- z)))) into (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) 0.769 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.769 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.769 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.769 * [taylor]: Taking taylor expansion of y in z 0.769 * [backup-simplify]: Simplify y into y 0.769 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.769 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.770 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.770 * [taylor]: Taking taylor expansion of z in z 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 1 into 1 0.770 * [backup-simplify]: Simplify (* 1 1) into 1 0.770 * [backup-simplify]: Simplify (/ 1 1) into 1 0.770 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.770 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.770 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.770 * [taylor]: Taking taylor expansion of y in y 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 1 into 1 0.770 * [backup-simplify]: Simplify (* 1 1) into 1 0.771 * [backup-simplify]: Simplify (/ 1 1) into 1 0.771 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.771 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.771 * [taylor]: Taking taylor expansion of z in y 0.771 * [backup-simplify]: Simplify z into z 0.771 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.771 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.771 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.771 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.771 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.771 * [taylor]: Taking taylor expansion of y in y 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify 1 into 1 0.771 * [backup-simplify]: Simplify (* 1 1) into 1 0.771 * [backup-simplify]: Simplify (/ 1 1) into 1 0.771 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.771 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.771 * [taylor]: Taking taylor expansion of z in y 0.771 * [backup-simplify]: Simplify z into z 0.771 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.772 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.772 * [backup-simplify]: Simplify (+ 1 0) into 1 0.772 * [taylor]: Taking taylor expansion of 1 in z 0.772 * [backup-simplify]: Simplify 1 into 1 0.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.773 * [backup-simplify]: Simplify (+ 0 0) into 0 0.773 * [taylor]: Taking taylor expansion of 0 in z 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.774 * [backup-simplify]: Simplify (- (/ 1 (pow z 2))) into (- (/ 1 (pow z 2))) 0.774 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow z 2)))) into (- (/ 1 (pow z 2))) 0.774 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.774 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.774 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.774 * [taylor]: Taking taylor expansion of z in z 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 1 into 1 0.774 * [backup-simplify]: Simplify (* 1 1) into 1 0.775 * [backup-simplify]: Simplify (/ 1 1) into 1 0.775 * [backup-simplify]: Simplify (- 1) into -1 0.775 * [backup-simplify]: Simplify -1 into -1 0.775 * [backup-simplify]: Simplify 1 into 1 0.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.776 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.776 * [backup-simplify]: Simplify (- 0) into 0 0.777 * [backup-simplify]: Simplify (+ 0 0) into 0 0.777 * [taylor]: Taking taylor expansion of 0 in z 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.778 * [backup-simplify]: Simplify (- 0) into 0 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.779 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.780 * [backup-simplify]: Simplify (- 0) into 0 0.780 * [backup-simplify]: Simplify (+ 0 0) into 0 0.780 * [taylor]: Taking taylor expansion of 0 in z 0.780 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.781 * [backup-simplify]: Simplify (- 0) into 0 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- z))) 1) 2))) into (- (pow y 2) (pow z 2)) 0.782 * * * [progress]: simplifying candidates 0.783 * [simplify]: Simplifying: (expm1 (sqrt (- (* y y) (* z z)))) (log1p (sqrt (- (* y y) (* z z)))) (log (sqrt (- (* y y) (* z z)))) (exp (sqrt (- (* y y) (* z z)))) (* (cbrt (sqrt (- (* y y) (* z z)))) (cbrt (sqrt (- (* y y) (* z z))))) (cbrt (sqrt (- (* y y) (* z z)))) (* (* (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z)))) (sqrt (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z))))) (sqrt (cbrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt 1) (sqrt (- (* y y) (* z z))) (sqrt (+ y z)) (sqrt (- y z)) (sqrt (- (pow (* y y) 3) (pow (* z z) 3))) (sqrt (+ (* (* y y) (* y y)) (+ (* (* z z) (* z z)) (* (* y y) (* z z))))) (sqrt (- (* (* y y) (* y y)) (* (* z z) (* z z)))) (sqrt (+ (* y y) (* z z))) (/ 1 2) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (expm1 (sqrt (- (* y y) (* z z)))) (log1p (sqrt (- (* y y) (* z z)))) (log (sqrt (- (* y y) (* z z)))) (exp (sqrt (- (* y y) (* z z)))) (* (cbrt (sqrt (- (* y y) (* z z)))) (cbrt (sqrt (- (* y y) (* z z))))) (cbrt (sqrt (- (* y y) (* z z)))) (* (* (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z)))) (sqrt (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z))))) (sqrt (cbrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt 1) (sqrt (- (* y y) (* z z))) (sqrt (+ y z)) (sqrt (- y z)) (sqrt (- (pow (* y y) 3) (pow (* z z) 3))) (sqrt (+ (* (* y y) (* y y)) (+ (* (* z z) (* z z)) (* (* y y) (* z z))))) (sqrt (- (* (* y y) (* y y)) (* (* z z) (* z z)))) (sqrt (+ (* y y) (* z z))) (/ 1 2) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (fma y y (- (* z z))) (fma (- z) z (* z z)) (expm1 (- (* y y) (* z z))) (log1p (- (* y y) (* z z))) (- (* z z)) (/ (exp (* y y)) (exp (* z z))) (log (- (* y y) (* z z))) (exp (- (* y y) (* z z))) (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))) (cbrt (- (* y y) (* z z))) (* (* (- (* y y) (* z z)) (- (* y y) (* z z))) (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))) (- (pow (* y y) 3) (pow (* z z) 3)) (+ (* (* y y) (* y y)) (+ (* (* z z) (* z z)) (* (* y y) (* z z)))) (- (* z z)) (- (* (* y y) (* y y)) (* (* z z) (* z z))) (+ (* y y) (* z z)) (+ y z) (- y z) (- (* z z)) (fma y y (- (* z z))) (fma (- z) z (* z z)) (expm1 (- (* y y) (* z z))) (log1p (- (* y y) (* z z))) (- (* z z)) (/ (exp (* y y)) (exp (* z z))) (log (- (* y y) (* z z))) (exp (- (* y y) (* z z))) (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))) (cbrt (- (* y y) (* z z))) (* (* (- (* y y) (* z z)) (- (* y y) (* z z))) (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))) (- (pow (* y y) 3) (pow (* z z) 3)) (+ (* (* y y) (* y y)) (+ (* (* z z) (* z z)) (* (* y y) (* z z)))) (- (* z z)) (- (* (* y y) (* y y)) (* (* z z) (* z z))) (+ (* y y) (* z z)) (+ y z) (- y z) (- (* z z)) (* z (sqrt -1)) y (* -1 y) (* z (sqrt -1)) y (* -1 y) (- (pow y 2) (pow z 2)) (- (pow y 2) (pow z 2)) (- (pow y 2) (pow z 2)) (- (pow y 2) (pow z 2)) (- (pow y 2) (pow z 2)) (- (pow y 2) (pow z 2)) 0.783 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (- (* h0 h0) (* h1 h1)))) (log1p (sqrt (- (* h0 h0) (* h1 h1)))) (log (sqrt (- (* h0 h0) (* h1 h1)))) (exp (sqrt (- (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (- (* h0 h0) (* h1 h1)))) (cbrt (sqrt (- (* h0 h0) (* h1 h1))))) (cbrt (sqrt (- (* h0 h0) (* h1 h1)))) (* (* (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (- (* h0 h0) (* h1 h1))))) (sqrt (cbrt (- (* h0 h0) (* h1 h1)))) (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (+ h0 h1)) (sqrt (- h0 h1)) (sqrt (- (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (expm1 (sqrt (- (* h0 h0) (* h1 h1)))) (log1p (sqrt (- (* h0 h0) (* h1 h1)))) (log (sqrt (- (* h0 h0) (* h1 h1)))) (exp (sqrt (- (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (- (* h0 h0) (* h1 h1)))) (cbrt (sqrt (- (* h0 h0) (* h1 h1))))) (cbrt (sqrt (- (* h0 h0) (* h1 h1)))) (* (* (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (- (* h0 h0) (* h1 h1))))) (sqrt (cbrt (- (* h0 h0) (* h1 h1)))) (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (+ h0 h1)) (sqrt (- h0 h1)) (sqrt (- (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (fma h0 h0 (- (* h1 h1))) (fma (- h1) h1 (* h1 h1)) (expm1 (- (* h0 h0) (* h1 h1))) (log1p (- (* h0 h0) (* h1 h1))) (- (* h1 h1)) (/ (exp (* h0 h0)) (exp (* h1 h1))) (log (- (* h0 h0) (* h1 h1))) (exp (- (* h0 h0) (* h1 h1))) (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (- (* h0 h0) (* h1 h1)))) (cbrt (- (* h0 h0) (* h1 h1))) (* (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1))) (- (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (+ (* h0 h0) (* h1 h1)) (+ h0 h1) (- h0 h1) (- (* h1 h1)) (fma h0 h0 (- (* h1 h1))) (fma (- h1) h1 (* h1 h1)) (expm1 (- (* h0 h0) (* h1 h1))) (log1p (- (* h0 h0) (* h1 h1))) (- (* h1 h1)) (/ (exp (* h0 h0)) (exp (* h1 h1))) (log (- (* h0 h0) (* h1 h1))) (exp (- (* h0 h0) (* h1 h1))) (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (- (* h0 h0) (* h1 h1)))) (cbrt (- (* h0 h0) (* h1 h1))) (* (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1))) (- (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (+ (* h0 h0) (* h1 h1)) (+ h0 h1) (- h0 h1) (- (* h1 h1)) (* h1 (sqrt -1)) h0 (* -1 h0) (* h1 (sqrt -1)) h0 (* -1 h0) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) 0.788 * * [simplify]: iteration 0 : 135 enodes (cost 420 ) 0.792 * * [simplify]: iteration 1 : 482 enodes (cost 394 ) 0.800 * * [simplify]: iteration 2 : 1632 enodes (cost 388 ) 0.834 * * [simplify]: iteration 3 : 5001 enodes (cost 378 ) 0.837 * * * [progress]: adding candidates to table 1.268 * * [progress]: iteration 3 / 4 1.268 * * * [progress]: picking best candidate 1.272 * * * * [pick]: Picked # 1.272 * * * [progress]: localizing error 1.275 * * * [progress]: generating rewritten candidates 1.275 * * * [progress]: generating series expansions 1.275 * * * [progress]: simplifying candidates 1.275 * [simplify]: Simplifying: 1.275 * [simplify]: Sending expressions to egg_math: 1.278 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.278 * * * [progress]: adding candidates to table 1.278 * * [progress]: iteration 4 / 4 1.278 * * * [progress]: picking best candidate 1.281 * * * * [pick]: Picked # 1.281 * * * [progress]: localizing error 1.286 * * * [progress]: generating rewritten candidates 1.286 * * * [progress]: generating series expansions 1.286 * * * [progress]: simplifying candidates 1.286 * [simplify]: Simplifying: 1.286 * [simplify]: Sending expressions to egg_math: 1.289 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.289 * * * [progress]: adding candidates to table 1.289 * [progress]: [Phase 3 of 3] Extracting. 1.289 * * [regime]: Finding splitpoints for: (# # # # #) 1.290 * * * [regime-changes]: Trying 8 branch expressions: ((* z z) (* y y) (- (* y y) (* z z)) (sqrt (- (* y y) (* z z))) (* x (sqrt (- (* y y) (* z z)))) z y x) 1.290 * * * * [regimes]: Trying to branch on (* z z) from (# # # # #) 1.309 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 1.337 * * * * [regimes]: Trying to branch on (* y y) from (# #) 1.348 * * * * [regimes]: Trying to branch on (- (* y y) (* z z)) from (# # # # #) 1.377 * * * * [regimes]: Trying to branch on (- (* y y) (* z z)) from (# #) 1.391 * * * * [regimes]: Trying to branch on (sqrt (- (* y y) (* z z))) from (# # # # #) 1.419 * * * * [regimes]: Trying to branch on (sqrt (- (* y y) (* z z))) from (# #) 1.437 * * * * [regimes]: Trying to branch on (* x (sqrt (- (* y y) (* z z)))) from (# # # # #) 1.474 * * * * [regimes]: Trying to branch on z from (# # # # #) 1.532 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.556 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.605 * * * [regime]: Found split indices: #