18.920 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying using # : (* x (sqrt (- (* y y) (* z z)))) 0.035 * * [simplify]: iteration 0 : 14 enodes (cost 5 ) 0.037 * * [simplify]: iteration 1 : 21 enodes (cost 5 ) 0.038 * * [simplify]: iteration 2 : 36 enodes (cost 5 ) 0.039 * * [simplify]: iteration 3 : 62 enodes (cost 5 ) 0.041 * * [simplify]: iteration 4 : 133 enodes (cost 5 ) 0.043 * * [simplify]: iteration 5 : 211 enodes (cost 5 ) 0.047 * * [simplify]: iteration 6 : 397 enodes (cost 5 ) 0.055 * * [simplify]: iteration 7 : 1798 enodes (cost 5 ) 0.108 * * [simplify]: iteration 8 : 5001 enodes (cost 5 ) 0.109 * [simplify]: Simplified to: (* x (sqrt (- (* y y) (* z z)))) 0.109 * * [progress]: iteration 1 / 4 0.109 * * * [progress]: picking best candidate 0.111 * * * * [pick]: Picked # 0.111 * * * [progress]: localizing error 0.120 * * * [progress]: generating rewritten candidates 0.120 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.124 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.127 * * * [progress]: generating series expansions 0.127 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.128 * [approximate]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in (y z) around 0 0.128 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.128 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.128 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.128 * [taylor]: Taking taylor expansion of y in z 0.128 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.128 * [taylor]: Taking taylor expansion of z in z 0.129 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.129 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.129 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.129 * [taylor]: Taking taylor expansion of z in y 0.129 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.129 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.130 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.130 * [taylor]: Taking taylor expansion of z in y 0.130 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.130 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.130 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.130 * [taylor]: Taking taylor expansion of z in z 0.133 * [taylor]: Taking taylor expansion of 0 in z 0.134 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow z 2)))) in z 0.134 * [taylor]: Taking taylor expansion of 1/2 in z 0.134 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.134 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.134 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.134 * [taylor]: Taking taylor expansion of z in z 0.139 * [taylor]: Taking taylor expansion of 0 in z 0.142 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.142 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.142 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.142 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.142 * [taylor]: Taking taylor expansion of y in z 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.142 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.142 * [taylor]: Taking taylor expansion of z in z 0.144 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.145 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.145 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.145 * [taylor]: Taking taylor expansion of z in y 0.147 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.147 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.147 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.147 * [taylor]: Taking taylor expansion of y in y 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.148 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.148 * [taylor]: Taking taylor expansion of z in y 0.150 * [taylor]: Taking taylor expansion of 1 in z 0.150 * [taylor]: Taking taylor expansion of 0 in z 0.152 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.152 * [taylor]: Taking taylor expansion of -1/2 in z 0.152 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.152 * [taylor]: Taking taylor expansion of z in z 0.155 * [taylor]: Taking taylor expansion of 0 in z 0.156 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.156 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.156 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.156 * [taylor]: Taking taylor expansion of y in z 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.156 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.156 * [taylor]: Taking taylor expansion of z in z 0.159 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.159 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.160 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.160 * [taylor]: Taking taylor expansion of z in y 0.162 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.162 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.162 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.162 * [taylor]: Taking taylor expansion of y in y 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.162 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.162 * [taylor]: Taking taylor expansion of z in y 0.164 * [taylor]: Taking taylor expansion of 1 in z 0.164 * [taylor]: Taking taylor expansion of 0 in z 0.166 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.166 * [taylor]: Taking taylor expansion of -1/2 in z 0.166 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.166 * [taylor]: Taking taylor expansion of z in z 0.170 * [taylor]: Taking taylor expansion of 0 in z 0.171 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 0.171 * [approximate]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in (y z) around 0 0.171 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.171 * [taylor]: Taking taylor expansion of y in z 0.171 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.171 * [taylor]: Taking taylor expansion of z in z 0.171 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.171 * [taylor]: Taking taylor expansion of z in y 0.171 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.171 * [taylor]: Taking taylor expansion of z in y 0.171 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.171 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.172 * [taylor]: Taking taylor expansion of z in z 0.172 * [taylor]: Taking taylor expansion of 0 in z 0.173 * [taylor]: Taking taylor expansion of 1 in z 0.175 * [taylor]: Taking taylor expansion of 0 in z 0.177 * [taylor]: Taking taylor expansion of 0 in z 0.177 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.177 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.177 * [taylor]: Taking taylor expansion of y in z 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.178 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.178 * [taylor]: Taking taylor expansion of z in z 0.178 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.178 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.179 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.179 * [taylor]: Taking taylor expansion of z in y 0.179 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.179 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.179 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.179 * [taylor]: Taking taylor expansion of z in y 0.180 * [taylor]: Taking taylor expansion of 1 in z 0.181 * [taylor]: Taking taylor expansion of 0 in z 0.182 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.182 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.182 * [taylor]: Taking taylor expansion of z in z 0.184 * [taylor]: Taking taylor expansion of 0 in z 0.187 * [taylor]: Taking taylor expansion of 0 in z 0.189 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.189 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.189 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.189 * [taylor]: Taking taylor expansion of y in z 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.189 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.189 * [taylor]: Taking taylor expansion of z in z 0.189 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.189 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.190 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.190 * [taylor]: Taking taylor expansion of z in y 0.190 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.190 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.191 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.191 * [taylor]: Taking taylor expansion of z in y 0.191 * [taylor]: Taking taylor expansion of 1 in z 0.192 * [taylor]: Taking taylor expansion of 0 in z 0.193 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.193 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.193 * [taylor]: Taking taylor expansion of z in z 0.200 * [taylor]: Taking taylor expansion of 0 in z 0.204 * [taylor]: Taking taylor expansion of 0 in z 0.205 * * * [progress]: simplifying candidates 0.206 * [simplify]: Simplifying using # : (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)))) (/ (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) (- (pow y 2) (pow z 2)) (- (pow y 2) (pow z 2)) (- (pow y 2) (pow z 2)) 0.209 * * [simplify]: iteration 0 : 122 enodes (cost 189 ) 0.212 * * [simplify]: iteration 1 : 432 enodes (cost 175 ) 0.218 * * [simplify]: iteration 2 : 1459 enodes (cost 175 ) 0.247 * * [simplify]: iteration 3 : 5001 enodes (cost 174 ) 0.248 * [simplify]: Simplified to: (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)))) (pow (sqrt (- (* y y) (* z z))) 3) (fabs (cbrt (- (* y y) (* z z)))) (sqrt (cbrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) 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)))) (exp (- (* y y) (* 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))) (pow (- (* y y) (* z z)) 3) (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))) (- (pow (* y y) 3) (pow (* z z) 3)) (+ (+ (pow y 4) (* (* y y) (* z z))) (pow z 4)) (- (* z z)) (+ (* (- (pow z 3)) z) (pow y 4)) (+ (* y y) (* z z)) (+ y z) (- y z) (- (* z z)) (* z (sqrt -1)) y (* -1 y) (- (* y y) (* z z)) (- (* y y) (* z z)) (- (* y y) (* z z)) 0.248 * * * [progress]: adding candidates to table 0.325 * * [progress]: iteration 2 / 4 0.325 * * * [progress]: picking best candidate 0.331 * * * * [pick]: Picked # 0.331 * * * [progress]: localizing error 0.338 * * * [progress]: generating rewritten candidates 0.338 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.345 * * * [progress]: generating series expansions 0.345 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.345 * [approximate]: Taking taylor expansion of (sqrt (* (+ z y) (- y z))) in (y z) around 0 0.345 * [taylor]: Taking taylor expansion of (sqrt (* (+ z y) (- y z))) in z 0.345 * [taylor]: Taking taylor expansion of (* (+ z y) (- y z)) in z 0.345 * [taylor]: Taking taylor expansion of (+ z y) in z 0.345 * [taylor]: Taking taylor expansion of z in z 0.345 * [taylor]: Taking taylor expansion of y in z 0.345 * [taylor]: Taking taylor expansion of (- y z) in z 0.345 * [taylor]: Taking taylor expansion of y in z 0.345 * [taylor]: Taking taylor expansion of z in z 0.347 * [taylor]: Taking taylor expansion of (sqrt (* (+ z y) (- y z))) in y 0.347 * [taylor]: Taking taylor expansion of (* (+ z y) (- y z)) in y 0.347 * [taylor]: Taking taylor expansion of (+ z y) in y 0.347 * [taylor]: Taking taylor expansion of z in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.347 * [taylor]: Taking taylor expansion of (- y z) in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.347 * [taylor]: Taking taylor expansion of z in y 0.348 * [taylor]: Taking taylor expansion of (sqrt (* (+ z y) (- y z))) in y 0.348 * [taylor]: Taking taylor expansion of (* (+ z y) (- y z)) in y 0.348 * [taylor]: Taking taylor expansion of (+ z y) in y 0.348 * [taylor]: Taking taylor expansion of z in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of (- y z) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of z in y 0.349 * [taylor]: Taking taylor expansion of (sqrt (* -1 (pow z 2))) in z 0.349 * [taylor]: Taking taylor expansion of (* -1 (pow z 2)) in z 0.349 * [taylor]: Taking taylor expansion of -1 in z 0.349 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.349 * [taylor]: Taking taylor expansion of z in z 0.351 * [taylor]: Taking taylor expansion of 0 in z 0.356 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (* -1 (pow z 2)))) in z 0.356 * [taylor]: Taking taylor expansion of 1/2 in z 0.356 * [taylor]: Taking taylor expansion of (sqrt (* -1 (pow z 2))) in z 0.356 * [taylor]: Taking taylor expansion of (* -1 (pow z 2)) in z 0.356 * [taylor]: Taking taylor expansion of -1 in z 0.356 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.356 * [taylor]: Taking taylor expansion of z in z 0.360 * [taylor]: Taking taylor expansion of 0 in z 0.363 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) in (y z) around 0 0.363 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) in z 0.363 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y))) in z 0.363 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 z)) in z 0.363 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.363 * [taylor]: Taking taylor expansion of y in z 0.363 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.363 * [taylor]: Taking taylor expansion of z in z 0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in z 0.363 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.363 * [taylor]: Taking taylor expansion of z in z 0.364 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.364 * [taylor]: Taking taylor expansion of y in z 0.366 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) in y 0.366 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y))) in y 0.366 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 z)) in y 0.366 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.366 * [taylor]: Taking taylor expansion of y in y 0.367 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.367 * [taylor]: Taking taylor expansion of z in y 0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.367 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.367 * [taylor]: Taking taylor expansion of z in y 0.367 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.369 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) in y 0.369 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y))) in y 0.369 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 z)) in y 0.369 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.370 * [taylor]: Taking taylor expansion of z in y 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.370 * [taylor]: Taking taylor expansion of z in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.372 * [taylor]: Taking taylor expansion of 1 in z 0.372 * [taylor]: Taking taylor expansion of 0 in z 0.376 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.376 * [taylor]: Taking taylor expansion of -1/2 in z 0.376 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.376 * [taylor]: Taking taylor expansion of z in z 0.380 * [taylor]: Taking taylor expansion of 0 in z 0.381 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y))))) in (y z) around 0 0.381 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y))))) in z 0.381 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y)))) in z 0.381 * [taylor]: Taking taylor expansion of -1 in z 0.381 * [taylor]: Taking taylor expansion of (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y))) in z 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in z 0.381 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.381 * [taylor]: Taking taylor expansion of z in z 0.382 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.382 * [taylor]: Taking taylor expansion of y in z 0.382 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ 1 y)) in z 0.382 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.382 * [taylor]: Taking taylor expansion of z in z 0.382 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.382 * [taylor]: Taking taylor expansion of y in z 0.385 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y))))) in y 0.385 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y)))) in y 0.385 * [taylor]: Taking taylor expansion of -1 in y 0.385 * [taylor]: Taking taylor expansion of (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y))) in y 0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.385 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.385 * [taylor]: Taking taylor expansion of z in y 0.385 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.385 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ 1 y)) in y 0.386 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.386 * [taylor]: Taking taylor expansion of z in y 0.386 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.386 * [taylor]: Taking taylor expansion of y in y 0.389 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y))))) in y 0.389 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y)))) in y 0.389 * [taylor]: Taking taylor expansion of -1 in y 0.389 * [taylor]: Taking taylor expansion of (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y))) in y 0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.389 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.389 * [taylor]: Taking taylor expansion of z in y 0.389 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.389 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ 1 y)) in y 0.389 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.390 * [taylor]: Taking taylor expansion of z in y 0.390 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.390 * [taylor]: Taking taylor expansion of y in y 0.393 * [taylor]: Taking taylor expansion of 1 in z 0.393 * [taylor]: Taking taylor expansion of 0 in z 0.397 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.397 * [taylor]: Taking taylor expansion of -1/2 in z 0.397 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.397 * [taylor]: Taking taylor expansion of z in z 0.402 * [taylor]: Taking taylor expansion of 0 in z 0.403 * * * [progress]: simplifying candidates 0.403 * [simplify]: Simplifying using # : (log (sqrt (* (+ y z) (- y z)))) (exp (sqrt (* (+ y z) (- y z)))) (* (cbrt (sqrt (* (+ y z) (- y z)))) (cbrt (sqrt (* (+ y z) (- y z))))) (cbrt (sqrt (* (+ y z) (- y z)))) (* (* (sqrt (* (+ y z) (- y z))) (sqrt (* (+ y z) (- y z)))) (sqrt (* (+ y z) (- y z)))) (sqrt (+ y z)) (sqrt (- y z)) (sqrt (* (+ (pow y 3) (pow z 3)) (- (pow y 3) (pow z 3)))) (sqrt (* (+ (* y y) (- (* z z) (* y z))) (+ (* y y) (+ (* z z) (* y z))))) (sqrt (* (+ (pow y 3) (pow z 3)) (- (* y y) (* z z)))) (sqrt (* (+ (* y y) (- (* z z) (* y z))) (+ y z))) (sqrt (* (- (* y y) (* z z)) (- (pow y 3) (pow z 3)))) (sqrt (* (- y z) (+ (* y y) (+ (* z z) (* y z))))) (sqrt (* (- (* y y) (* z z)) (- (* y y) (* z z)))) (sqrt (* (- y z) (+ y z))) (sqrt (* (+ y z) (- (pow y 3) (pow z 3)))) (sqrt (+ (* y y) (+ (* z z) (* y z)))) (sqrt (* (+ y z) (- (* y y) (* z z)))) (sqrt (+ y z)) (sqrt (* (+ (pow y 3) (pow z 3)) (- y z))) (sqrt (+ (* y y) (- (* z z) (* y z)))) (sqrt (* (- (* y y) (* z z)) (- y z))) (sqrt (- y z)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (+ y z) (- y z)))) (sqrt (sqrt (* (+ y z) (- y z)))) (* z (sqrt -1)) y (* -1 y) 0.406 * * [simplify]: iteration 0 : 131 enodes (cost 151 ) 0.409 * * [simplify]: iteration 1 : 516 enodes (cost 148 ) 0.419 * * [simplify]: iteration 2 : 2234 enodes (cost 148 ) 0.458 * * [simplify]: iteration 3 : 5002 enodes (cost 148 ) 0.459 * [simplify]: Simplified to: (log (sqrt (* (+ y z) (- y z)))) (exp (sqrt (* (+ y z) (- y z)))) (* (cbrt (sqrt (* (+ y z) (- y z)))) (cbrt (sqrt (* (+ y z) (- y z))))) (cbrt (sqrt (* (+ y z) (- y z)))) (pow (sqrt (* (- y z) (+ y z))) 3) (sqrt (+ y z)) (sqrt (- y z)) (sqrt (* (+ (pow y 3) (pow z 3)) (- (pow y 3) (pow z 3)))) (sqrt (* (+ (* y y) (- (* z z) (* y z))) (+ (* y y) (+ (* z z) (* y z))))) (sqrt (* (+ (pow y 3) (pow z 3)) (- (* y y) (* z z)))) (sqrt (* (+ (* y y) (- (* z z) (* y z))) (+ y z))) (sqrt (* (- (* y y) (* z z)) (- (pow y 3) (pow z 3)))) (sqrt (* (- y z) (+ (* y y) (+ (* z z) (* y z))))) (fabs (- (* y y) (* z z))) (sqrt (* (- y z) (+ y z))) (sqrt (* (+ y z) (- (pow y 3) (pow z 3)))) (sqrt (+ (* y y) (+ (* z z) (* y z)))) (sqrt (* (+ y z) (- (* y y) (* z z)))) (sqrt (+ y z)) (sqrt (* (+ (pow y 3) (pow z 3)) (- y z))) (sqrt (+ (* y y) (- (* z z) (* y z)))) (sqrt (* (- (* y y) (* z z)) (- y z))) (sqrt (- y z)) 1/2 1/2 (sqrt (sqrt (* (+ y z) (- y z)))) (sqrt (sqrt (* (+ y z) (- y z)))) (* z (sqrt -1)) y (* -1 y) 0.459 * * * [progress]: adding candidates to table 0.518 * * [progress]: iteration 3 / 4 0.518 * * * [progress]: picking best candidate 0.522 * * * * [pick]: Picked # 0.522 * * * [progress]: localizing error 0.524 * * * [progress]: generating rewritten candidates 0.524 * * * [progress]: generating series expansions 0.524 * * * [progress]: simplifying candidates 0.525 * [simplify]: Simplifying using # : 0.527 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.527 * [simplify]: Simplified to: 0.527 * * * [progress]: adding candidates to table 0.527 * * [progress]: iteration 4 / 4 0.527 * * * [progress]: picking best candidate 0.530 * * * * [pick]: Picked # 0.531 * * * [progress]: localizing error 0.534 * * * [progress]: generating rewritten candidates 0.534 * * * [progress]: generating series expansions 0.534 * * * [progress]: simplifying candidates 0.534 * [simplify]: Simplifying using # : 0.536 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.536 * [simplify]: Simplified to: 0.536 * * * [progress]: adding candidates to table 0.537 * [progress]: [Phase 3 of 3] Extracting. 0.537 * * [regime]: Finding splitpoints for: (# # # #) 0.537 * * * [regime-changes]: Trying 3 branch expressions: (z y x) 0.537 * * * * [regimes]: Trying to branch on z from (# # # #) 0.577 * * * * [regimes]: Trying to branch on y from (# # # #) 0.599 * * * * [regimes]: Trying to branch on x from (# # # #) 0.655 * * * [regime]: Found split indices: #