14.403 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.035 * * * [progress]: [2/2] Setting up program. 0.038 * [progress]: [Phase 2 of 3] Improving. 0.038 * [simplify]: Simplifying using # : (* x (sqrt (- (* y y) (* z z)))) 0.040 * * [simplify]: iteration 0 : 14 enodes (cost 5 ) 0.042 * * [simplify]: iteration 1 : 21 enodes (cost 5 ) 0.043 * * [simplify]: iteration 2 : 36 enodes (cost 5 ) 0.044 * * [simplify]: iteration 3 : 62 enodes (cost 5 ) 0.046 * * [simplify]: iteration 4 : 133 enodes (cost 5 ) 0.049 * * [simplify]: iteration 5 : 211 enodes (cost 5 ) 0.052 * * [simplify]: iteration 6 : 397 enodes (cost 5 ) 0.061 * * [simplify]: iteration 7 : 1798 enodes (cost 5 ) 0.114 * * [simplify]: iteration 8 : 5001 enodes (cost 5 ) 0.115 * [simplify]: Simplified to: (* x (sqrt (- (* y y) (* z z)))) 0.115 * * [progress]: iteration 1 / 4 0.115 * * * [progress]: picking best candidate 0.117 * * * * [pick]: Picked # 0.117 * * * [progress]: localizing error 0.124 * * * [progress]: generating rewritten candidates 0.124 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.128 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.131 * * * [progress]: generating series expansions 0.131 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.131 * [approximate]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in (y z) around 0 0.131 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.131 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.131 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.131 * [taylor]: Taking taylor expansion of y in z 0.131 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.131 * [taylor]: Taking taylor expansion of z in z 0.132 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.132 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.132 * [taylor]: Taking taylor expansion of z in y 0.133 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.133 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.133 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.133 * [taylor]: Taking taylor expansion of z in y 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 0.136 * [taylor]: Taking taylor expansion of 0 in z 0.138 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- (pow z 2)))) in z 0.138 * [taylor]: Taking taylor expansion of 1/2 in z 0.138 * [taylor]: Taking taylor expansion of (sqrt (- (pow z 2))) in z 0.138 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.138 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.138 * [taylor]: Taking taylor expansion of z in z 0.143 * [taylor]: Taking taylor expansion of 0 in z 0.145 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.146 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.146 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.146 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.146 * [taylor]: Taking taylor expansion of y in z 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.146 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.146 * [taylor]: Taking taylor expansion of z in z 0.149 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.149 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.149 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.149 * [taylor]: Taking taylor expansion of z in y 0.151 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.151 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.151 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.152 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.152 * [taylor]: Taking taylor expansion of z in y 0.154 * [taylor]: Taking taylor expansion of 1 in z 0.154 * [taylor]: Taking taylor expansion of 0 in z 0.156 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.156 * [taylor]: Taking taylor expansion of -1/2 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 0 in z 0.161 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.161 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.161 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.161 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.161 * [taylor]: Taking taylor expansion of y in z 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.161 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.161 * [taylor]: Taking taylor expansion of z in z 0.164 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.164 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.164 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.165 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.165 * [taylor]: Taking taylor expansion of z in y 0.167 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.167 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.167 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.168 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.168 * [taylor]: Taking taylor expansion of z in y 0.170 * [taylor]: Taking taylor expansion of 1 in z 0.170 * [taylor]: Taking taylor expansion of 0 in z 0.172 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.172 * [taylor]: Taking taylor expansion of -1/2 in z 0.172 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.172 * [taylor]: Taking taylor expansion of z in z 0.175 * [taylor]: Taking taylor expansion of 0 in z 0.176 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 0.177 * [approximate]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in (y z) around 0 0.177 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 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 0.177 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.177 * [taylor]: Taking taylor expansion of z in z 0.177 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.177 * [taylor]: Taking taylor expansion of z in y 0.177 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.177 * [taylor]: Taking taylor expansion of z in y 0.177 * [taylor]: Taking taylor expansion of (- (pow z 2)) in z 0.177 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.177 * [taylor]: Taking taylor expansion of z in z 0.178 * [taylor]: Taking taylor expansion of 0 in z 0.179 * [taylor]: Taking taylor expansion of 1 in z 0.180 * [taylor]: Taking taylor expansion of 0 in z 0.187 * [taylor]: Taking taylor expansion of 0 in z 0.188 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.188 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.188 * [taylor]: Taking taylor expansion of y in z 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.188 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.188 * [taylor]: Taking taylor expansion of z in z 0.188 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.189 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.189 * [taylor]: Taking taylor expansion of z in y 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 0.189 * [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 in z 0.191 * [taylor]: Taking taylor expansion of 0 in z 0.192 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.192 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.192 * [taylor]: Taking taylor expansion of z in z 0.195 * [taylor]: Taking taylor expansion of 0 in z 0.198 * [taylor]: Taking taylor expansion of 0 in z 0.199 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.199 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.200 * [taylor]: Taking taylor expansion of y in z 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.200 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.200 * [taylor]: Taking taylor expansion of z in z 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 0.201 * [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 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.201 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.201 * [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 0.202 * [taylor]: Taking taylor expansion of 1 in z 0.203 * [taylor]: Taking taylor expansion of 0 in z 0.204 * [taylor]: Taking taylor expansion of (- (/ 1 (pow z 2))) in z 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.204 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.204 * [taylor]: Taking taylor expansion of z in z 0.207 * [taylor]: Taking taylor expansion of 0 in z 0.210 * [taylor]: Taking taylor expansion of 0 in z 0.212 * * * [progress]: simplifying candidates 0.212 * [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)) 0.216 * * [simplify]: iteration 0 : 122 enodes (cost 189 ) 0.219 * * [simplify]: iteration 1 : 432 enodes (cost 175 ) 0.226 * * [simplify]: iteration 2 : 1459 enodes (cost 175 ) 0.255 * * [simplify]: iteration 3 : 5001 enodes (cost 174 ) 0.257 * [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)) 0.257 * * * [progress]: adding candidates to table 0.333 * * [progress]: iteration 2 / 4 0.333 * * * [progress]: picking best candidate 0.338 * * * * [pick]: Picked # 0.338 * * * [progress]: localizing error 0.348 * * * [progress]: generating rewritten candidates 0.348 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.355 * * * [progress]: generating series expansions 0.355 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.355 * [approximate]: Taking taylor expansion of (sqrt (* (+ z y) (- y z))) in (y z) around 0 0.355 * [taylor]: Taking taylor expansion of (sqrt (* (+ z y) (- y z))) in z 0.355 * [taylor]: Taking taylor expansion of (* (+ z y) (- y z)) in z 0.355 * [taylor]: Taking taylor expansion of (+ z y) in z 0.355 * [taylor]: Taking taylor expansion of z in z 0.355 * [taylor]: Taking taylor expansion of y in z 0.355 * [taylor]: Taking taylor expansion of (- y z) in z 0.355 * [taylor]: Taking taylor expansion of y in z 0.355 * [taylor]: Taking taylor expansion of z in z 0.356 * [taylor]: Taking taylor expansion of (sqrt (* (+ z y) (- y z))) in y 0.356 * [taylor]: Taking taylor expansion of (* (+ z y) (- y z)) in y 0.356 * [taylor]: Taking taylor expansion of (+ z y) in y 0.356 * [taylor]: Taking taylor expansion of z in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.357 * [taylor]: Taking taylor expansion of (- y z) in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.357 * [taylor]: Taking taylor expansion of z in y 0.358 * [taylor]: Taking taylor expansion of (sqrt (* (+ z y) (- y z))) in y 0.358 * [taylor]: Taking taylor expansion of (* (+ z y) (- y z)) in y 0.358 * [taylor]: Taking taylor expansion of (+ z y) in y 0.358 * [taylor]: Taking taylor expansion of z in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of (- y z) in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of z in y 0.359 * [taylor]: Taking taylor expansion of (sqrt (* -1 (pow z 2))) in z 0.359 * [taylor]: Taking taylor expansion of (* -1 (pow z 2)) in z 0.359 * [taylor]: Taking taylor expansion of -1 in z 0.359 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.359 * [taylor]: Taking taylor expansion of z in z 0.361 * [taylor]: Taking taylor expansion of 0 in z 0.363 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (* -1 (pow z 2)))) in z 0.363 * [taylor]: Taking taylor expansion of 1/2 in z 0.363 * [taylor]: Taking taylor expansion of (sqrt (* -1 (pow z 2))) in z 0.363 * [taylor]: Taking taylor expansion of (* -1 (pow z 2)) in z 0.363 * [taylor]: Taking taylor expansion of -1 in z 0.363 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.363 * [taylor]: Taking taylor expansion of z in z 0.367 * [taylor]: Taking taylor expansion of 0 in z 0.370 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) in (y z) around 0 0.370 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) in z 0.370 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y))) in z 0.370 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 z)) in z 0.370 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.370 * [taylor]: Taking taylor expansion of y in z 0.370 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.370 * [taylor]: Taking taylor expansion of z in z 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in z 0.370 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.370 * [taylor]: Taking taylor expansion of z in z 0.371 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.371 * [taylor]: Taking taylor expansion of y in z 0.374 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) in y 0.374 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y))) in y 0.374 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 z)) in y 0.374 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.374 * [taylor]: Taking taylor expansion of z in y 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.374 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.374 * [taylor]: Taking taylor expansion of z in y 0.374 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.377 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) in y 0.377 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y))) in y 0.377 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 z)) in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.377 * [taylor]: Taking taylor expansion of z in y 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.377 * [taylor]: Taking taylor expansion of z in y 0.378 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of 1 in z 0.380 * [taylor]: Taking taylor expansion of 0 in z 0.383 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.383 * [taylor]: Taking taylor expansion of -1/2 in z 0.383 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.384 * [taylor]: Taking taylor expansion of z in z 0.388 * [taylor]: Taking taylor expansion of 0 in z 0.389 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y))))) in (y z) around 0 0.389 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y))))) in z 0.389 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y)))) in z 0.389 * [taylor]: Taking taylor expansion of -1 in z 0.389 * [taylor]: Taking taylor expansion of (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y))) in z 0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in z 0.389 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.389 * [taylor]: Taking taylor expansion of z in z 0.389 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.389 * [taylor]: Taking taylor expansion of y in z 0.389 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ 1 y)) in z 0.389 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.389 * [taylor]: Taking taylor expansion of z in z 0.390 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.390 * [taylor]: Taking taylor expansion of y in z 0.393 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y))))) in y 0.393 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y)))) in y 0.393 * [taylor]: Taking taylor expansion of -1 in y 0.393 * [taylor]: Taking taylor expansion of (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y))) in y 0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.393 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.393 * [taylor]: Taking taylor expansion of z in y 0.393 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.393 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ 1 y)) in y 0.393 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.393 * [taylor]: Taking taylor expansion of z in y 0.393 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y))))) in y 0.397 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y)))) in y 0.397 * [taylor]: Taking taylor expansion of -1 in y 0.397 * [taylor]: Taking taylor expansion of (* (+ (/ 1 z) (/ 1 y)) (- (/ 1 z) (/ 1 y))) in y 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.397 * [taylor]: Taking taylor expansion of z in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ 1 y)) in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.397 * [taylor]: Taking taylor expansion of z in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.398 * [taylor]: Taking taylor expansion of y in y 0.401 * [taylor]: Taking taylor expansion of 1 in z 0.401 * [taylor]: Taking taylor expansion of 0 in z 0.405 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.405 * [taylor]: Taking taylor expansion of -1/2 in z 0.405 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.405 * [taylor]: Taking taylor expansion of z in z 0.410 * [taylor]: Taking taylor expansion of 0 in z 0.411 * * * [progress]: simplifying candidates 0.411 * [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) 0.415 * * [simplify]: iteration 0 : 131 enodes (cost 151 ) 0.417 * * [simplify]: iteration 1 : 516 enodes (cost 148 ) 0.427 * * [simplify]: iteration 2 : 2234 enodes (cost 148 ) 0.465 * * [simplify]: iteration 3 : 5002 enodes (cost 148 ) 0.466 * [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) 0.467 * * * [progress]: adding candidates to table 0.521 * * [progress]: iteration 3 / 4 0.521 * * * [progress]: picking best candidate 0.525 * * * * [pick]: Picked # 0.525 * * * [progress]: localizing error 0.527 * * * [progress]: generating rewritten candidates 0.527 * * * [progress]: generating series expansions 0.528 * * * [progress]: simplifying candidates 0.528 * [simplify]: Simplifying using # : 0.530 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.530 * [simplify]: Simplified to: 0.530 * * * [progress]: adding candidates to table 0.530 * * [progress]: iteration 4 / 4 0.530 * * * [progress]: picking best candidate 0.537 * * * * [pick]: Picked # 0.537 * * * [progress]: localizing error 0.545 * * * [progress]: generating rewritten candidates 0.545 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.565 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.571 * * * [progress]: generating series expansions 0.571 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.571 * [approximate]: Taking taylor expansion of (sqrt (* (+ z y) (- y z))) in (y z) around 0 0.571 * [taylor]: Taking taylor expansion of (sqrt (* (+ z y) (- y z))) in z 0.571 * [taylor]: Taking taylor expansion of (* (+ z y) (- y z)) in z 0.571 * [taylor]: Taking taylor expansion of (+ z y) in z 0.571 * [taylor]: Taking taylor expansion of z in z 0.571 * [taylor]: Taking taylor expansion of y in z 0.571 * [taylor]: Taking taylor expansion of (- y z) in z 0.571 * [taylor]: Taking taylor expansion of y in z 0.571 * [taylor]: Taking taylor expansion of z in z 0.573 * [taylor]: Taking taylor expansion of (sqrt (* (+ z y) (- y z))) in y 0.573 * [taylor]: Taking taylor expansion of (* (+ z y) (- y z)) in y 0.573 * [taylor]: Taking taylor expansion of (+ z y) in y 0.573 * [taylor]: Taking taylor expansion of z in y 0.573 * [taylor]: Taking taylor expansion of y in y 0.573 * [taylor]: Taking taylor expansion of (- y z) in y 0.573 * [taylor]: Taking taylor expansion of y in y 0.573 * [taylor]: Taking taylor expansion of z in y 0.574 * [taylor]: Taking taylor expansion of (sqrt (* (+ z y) (- y z))) in y 0.574 * [taylor]: Taking taylor expansion of (* (+ z y) (- y z)) in y 0.574 * [taylor]: Taking taylor expansion of (+ z y) in y 0.574 * [taylor]: Taking taylor expansion of z in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.574 * [taylor]: Taking taylor expansion of (- y z) in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.574 * [taylor]: Taking taylor expansion of z in y 0.575 * [taylor]: Taking taylor expansion of (sqrt (* -1 (pow z 2))) in z 0.575 * [taylor]: Taking taylor expansion of (* -1 (pow z 2)) in z 0.575 * [taylor]: Taking taylor expansion of -1 in z 0.575 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.575 * [taylor]: Taking taylor expansion of z in z 0.578 * [taylor]: Taking taylor expansion of 0 in z 0.579 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (* -1 (pow z 2)))) in z 0.579 * [taylor]: Taking taylor expansion of 1/2 in z 0.580 * [taylor]: Taking taylor expansion of (sqrt (* -1 (pow z 2))) in z 0.580 * [taylor]: Taking taylor expansion of (* -1 (pow z 2)) in z 0.580 * [taylor]: Taking taylor expansion of -1 in z 0.580 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.580 * [taylor]: Taking taylor expansion of z in z 0.584 * [taylor]: Taking taylor expansion of 0 in z 0.587 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) in (y z) around 0 0.587 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) in z 0.587 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y))) in z 0.587 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 z)) in z 0.587 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.587 * [taylor]: Taking taylor expansion of y in z 0.587 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.587 * [taylor]: Taking taylor expansion of z in z 0.587 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in z 0.588 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.588 * [taylor]: Taking taylor expansion of z in z 0.588 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.588 * [taylor]: Taking taylor expansion of y in z 0.591 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) in y 0.591 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y))) in y 0.591 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 z)) in y 0.591 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.591 * [taylor]: Taking taylor expansion of y in y 0.591 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.591 * [taylor]: Taking taylor expansion of z in y 0.591 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.591 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.591 * [taylor]: Taking taylor expansion of z in y 0.591 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.591 * [taylor]: Taking taylor expansion of y in y 0.594 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y)))) in y 0.594 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 z)) (+ (/ 1 z) (/ 1 y))) in y 0.594 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 z)) in y 0.594 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.594 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.594 * [taylor]: Taking taylor expansion of z in y 0.594 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.594 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.594 * [taylor]: Taking taylor expansion of z in y 0.594 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.597 * [taylor]: Taking taylor expansion of 1 in z 0.597 * [taylor]: Taking taylor expansion of 0 in z 0.601 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.601 * [taylor]: Taking taylor expansion of -1/2 in z 0.601 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.601 * [taylor]: Taking taylor expansion of z in z 0.605 * [taylor]: Taking taylor expansion of 0 in z 0.606 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 z) (/ 1 y)))) (sqrt (- (/ 1 z) (/ 1 y)))) in (y z) around 0 0.606 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 z) (/ 1 y)))) (sqrt (- (/ 1 z) (/ 1 y)))) in z 0.606 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 z) (/ 1 y)))) in z 0.606 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) (/ 1 y))) in z 0.606 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in z 0.606 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.606 * [taylor]: Taking taylor expansion of z in z 0.606 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.606 * [taylor]: Taking taylor expansion of y in z 0.608 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 z) (/ 1 y))) in z 0.608 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ 1 y)) in z 0.608 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.608 * [taylor]: Taking taylor expansion of z in z 0.609 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.609 * [taylor]: Taking taylor expansion of y in z 0.610 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 z) (/ 1 y)))) (sqrt (- (/ 1 z) (/ 1 y)))) in y 0.610 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 z) (/ 1 y)))) in y 0.610 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) (/ 1 y))) in y 0.610 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.610 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.610 * [taylor]: Taking taylor expansion of z in y 0.610 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.610 * [taylor]: Taking taylor expansion of y in y 0.616 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 z) (/ 1 y))) in y 0.616 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ 1 y)) in y 0.616 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.616 * [taylor]: Taking taylor expansion of z in y 0.617 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.617 * [taylor]: Taking taylor expansion of y in y 0.618 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 z) (/ 1 y)))) (sqrt (- (/ 1 z) (/ 1 y)))) in y 0.618 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 z) (/ 1 y)))) in y 0.618 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) (/ 1 y))) in y 0.618 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.618 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.618 * [taylor]: Taking taylor expansion of z in y 0.618 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.618 * [taylor]: Taking taylor expansion of y in y 0.620 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 z) (/ 1 y))) in y 0.620 * [taylor]: Taking taylor expansion of (- (/ 1 z) (/ 1 y)) in y 0.620 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.620 * [taylor]: Taking taylor expansion of z in y 0.620 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.622 * [taylor]: Taking taylor expansion of 0 in z 0.623 * [taylor]: Taking taylor expansion of 0 in z 0.626 * [taylor]: Taking taylor expansion of (- +nan.0) in z 0.626 * [taylor]: Taking taylor expansion of +nan.0 in z 0.630 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 z)) (- +nan.0))) in z 0.630 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 z)) (- +nan.0)) in z 0.630 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 z)) in z 0.630 * [taylor]: Taking taylor expansion of +nan.0 in z 0.630 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.630 * [taylor]: Taking taylor expansion of z in z 0.631 * [taylor]: Taking taylor expansion of (- +nan.0) in z 0.631 * [taylor]: Taking taylor expansion of +nan.0 in z 0.637 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 z)) (- (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0))))) in z 0.637 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 z)) (- (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0)))) in z 0.637 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 z)) in z 0.637 * [taylor]: Taking taylor expansion of +nan.0 in z 0.637 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.637 * [taylor]: Taking taylor expansion of z in z 0.637 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0))) in z 0.637 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0)) in z 0.637 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow z 2))) in z 0.637 * [taylor]: Taking taylor expansion of +nan.0 in z 0.637 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.637 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.637 * [taylor]: Taking taylor expansion of z in z 0.638 * [taylor]: Taking taylor expansion of (- +nan.0) in z 0.638 * [taylor]: Taking taylor expansion of +nan.0 in z 0.643 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 0.643 * [approximate]: Taking taylor expansion of (sqrt (+ z y)) in (y z) around 0 0.643 * [taylor]: Taking taylor expansion of (sqrt (+ z y)) in z 0.643 * [taylor]: Taking taylor expansion of (+ z y) in z 0.643 * [taylor]: Taking taylor expansion of z in z 0.643 * [taylor]: Taking taylor expansion of y in z 0.643 * [taylor]: Taking taylor expansion of (sqrt (+ z y)) in y 0.643 * [taylor]: Taking taylor expansion of (+ z y) in y 0.643 * [taylor]: Taking taylor expansion of z in y 0.643 * [taylor]: Taking taylor expansion of y in y 0.644 * [taylor]: Taking taylor expansion of (sqrt (+ z y)) in y 0.644 * [taylor]: Taking taylor expansion of (+ z y) in y 0.644 * [taylor]: Taking taylor expansion of z in y 0.644 * [taylor]: Taking taylor expansion of y in y 0.644 * [taylor]: Taking taylor expansion of (sqrt z) in z 0.644 * [taylor]: Taking taylor expansion of z in z 0.645 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 z))) in z 0.645 * [taylor]: Taking taylor expansion of 1/2 in z 0.645 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 0.645 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.645 * [taylor]: Taking taylor expansion of z in z 0.649 * [taylor]: Taking taylor expansion of (* -1/8 (sqrt (/ 1 (pow z 3)))) in z 0.649 * [taylor]: Taking taylor expansion of -1/8 in z 0.649 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow z 3))) in z 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow z 3)) in z 0.649 * [taylor]: Taking taylor expansion of (pow z 3) in z 0.649 * [taylor]: Taking taylor expansion of z in z 0.656 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 z) (/ 1 y))) in (y z) around 0 0.656 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) (/ 1 y))) in z 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in z 0.656 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.656 * [taylor]: Taking taylor expansion of z in z 0.656 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.656 * [taylor]: Taking taylor expansion of y in z 0.657 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) (/ 1 y))) in y 0.657 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.657 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.657 * [taylor]: Taking taylor expansion of z in y 0.657 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.657 * [taylor]: Taking taylor expansion of y in y 0.659 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) (/ 1 y))) in y 0.659 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.659 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.659 * [taylor]: Taking taylor expansion of z in y 0.659 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.659 * [taylor]: Taking taylor expansion of y in y 0.660 * [taylor]: Taking taylor expansion of 0 in z 0.660 * [taylor]: Taking taylor expansion of +nan.0 in z 0.662 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 z) +nan.0)) in z 0.662 * [taylor]: Taking taylor expansion of +nan.0 in z 0.662 * [taylor]: Taking taylor expansion of (- (/ 1 z) +nan.0) in z 0.662 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.662 * [taylor]: Taking taylor expansion of z in z 0.662 * [taylor]: Taking taylor expansion of +nan.0 in z 0.664 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 z)) (- +nan.0))) in z 0.664 * [taylor]: Taking taylor expansion of +nan.0 in z 0.664 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 z)) (- +nan.0)) in z 0.664 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 z)) in z 0.664 * [taylor]: Taking taylor expansion of +nan.0 in z 0.664 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.664 * [taylor]: Taking taylor expansion of z in z 0.664 * [taylor]: Taking taylor expansion of (- +nan.0) in z 0.664 * [taylor]: Taking taylor expansion of +nan.0 in z 0.666 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 z) (/ 1 y)))) in (y z) around 0 0.666 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 z) (/ 1 y)))) in z 0.666 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) (/ 1 y))) in z 0.666 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in z 0.666 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.666 * [taylor]: Taking taylor expansion of z in z 0.666 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.666 * [taylor]: Taking taylor expansion of y in z 0.668 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 z) (/ 1 y)))) in y 0.668 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) (/ 1 y))) in y 0.668 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.668 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.668 * [taylor]: Taking taylor expansion of z in y 0.668 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.668 * [taylor]: Taking taylor expansion of y in y 0.670 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 z) (/ 1 y)))) in y 0.670 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) (/ 1 y))) in y 0.670 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (/ 1 y)) in y 0.670 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.670 * [taylor]: Taking taylor expansion of z in y 0.670 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.670 * [taylor]: Taking taylor expansion of y in y 0.672 * [taylor]: Taking taylor expansion of 0 in z 0.672 * [taylor]: Taking taylor expansion of +nan.0 in z 0.673 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (/ 1 z) (- +nan.0))) in z 0.673 * [taylor]: Taking taylor expansion of +nan.0 in z 0.674 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (- +nan.0)) in z 0.674 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.674 * [taylor]: Taking taylor expansion of z in z 0.674 * [taylor]: Taking taylor expansion of (- +nan.0) in z 0.674 * [taylor]: Taking taylor expansion of +nan.0 in z 0.676 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 z)) (- +nan.0))) in z 0.676 * [taylor]: Taking taylor expansion of +nan.0 in z 0.676 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 z)) (- +nan.0)) in z 0.676 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 z)) in z 0.676 * [taylor]: Taking taylor expansion of +nan.0 in z 0.676 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.676 * [taylor]: Taking taylor expansion of z in z 0.676 * [taylor]: Taking taylor expansion of (- +nan.0) in z 0.676 * [taylor]: Taking taylor expansion of +nan.0 in z 0.678 * * * [progress]: simplifying candidates 0.679 * [simplify]: Simplifying using # : (* (+ y z) (- y z)) (* (sqrt (+ y z)) (sqrt (- y z))) (* (+ y z) (- y z)) (+ (log (sqrt (+ y z))) (log (sqrt (- y z)))) (log (* (sqrt (+ y z)) (sqrt (- y z)))) (exp (* (sqrt (+ y z)) (sqrt (- y z)))) (* (* (* (sqrt (+ y z)) (sqrt (+ y z))) (sqrt (+ y z))) (* (* (sqrt (- y z)) (sqrt (- y z))) (sqrt (- y z)))) (* (cbrt (* (sqrt (+ y z)) (sqrt (- y z)))) (cbrt (* (sqrt (+ y z)) (sqrt (- y z))))) (cbrt (* (sqrt (+ y z)) (sqrt (- y z)))) (* (* (* (sqrt (+ y z)) (sqrt (- y z))) (* (sqrt (+ y z)) (sqrt (- y z)))) (* (sqrt (+ y z)) (sqrt (- y z)))) (* (+ y z) (- y z)) (sqrt (* (sqrt (+ y z)) (sqrt (- y z)))) (sqrt (* (sqrt (+ y z)) (sqrt (- y z)))) (* (sqrt (+ (pow y 3) (pow z 3))) (sqrt (- (pow y 3) (pow z 3)))) (* (sqrt (+ (* y y) (- (* z z) (* y z)))) (sqrt (+ (* y y) (+ (* z z) (* y z))))) (* (sqrt (+ (pow y 3) (pow z 3))) (sqrt (- (* y y) (* z z)))) (* (sqrt (+ (* y y) (- (* z z) (* y z)))) (sqrt (+ y z))) (* (sqrt (- (* y y) (* z z))) (sqrt (- (pow y 3) (pow z 3)))) (* (sqrt (- y z)) (sqrt (+ (* y y) (+ (* z z) (* y z))))) (* (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z)))) (* (sqrt (- y z)) (sqrt (+ y z))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (+ y z)) (* (cbrt (sqrt (- y z))) (cbrt (sqrt (- y z))))) (* (sqrt (+ y z)) (sqrt (* (cbrt (- y z)) (cbrt (- y z))))) (* (sqrt (+ y z)) (sqrt (sqrt (- y z)))) (* (sqrt (+ y z)) (sqrt 1)) (* (sqrt (+ y z)) (sqrt (+ (sqrt y) (sqrt z)))) (* (sqrt (+ y z)) (sqrt 1)) (* (sqrt (+ y z)) (sqrt (sqrt (- y z)))) (* (sqrt (+ y z)) 1) (* (cbrt (sqrt (+ y z))) (sqrt (- y z))) (* (sqrt (cbrt (+ y z))) (sqrt (- y z))) (* (sqrt (sqrt (+ y z))) (sqrt (- y z))) (* (sqrt (+ y z)) (sqrt (- y z))) (* (sqrt (+ y z)) (sqrt (- y z))) (* (sqrt (sqrt (+ y z))) (sqrt (- y z))) (* (sqrt (+ y z)) (sqrt (- y z))) (* (sqrt (+ y z)) (sqrt (- (pow y 3) (pow z 3)))) (* (sqrt (+ y z)) (sqrt (- (* y y) (* z z)))) (* (sqrt (+ (pow y 3) (pow z 3))) (sqrt (- y z))) (* (sqrt (- (* y y) (* z z))) (sqrt (- y z))) (log (sqrt (+ y z))) (exp (sqrt (+ y z))) (* (cbrt (sqrt (+ y z))) (cbrt (sqrt (+ y z)))) (cbrt (sqrt (+ y z))) (* (* (sqrt (+ y z)) (sqrt (+ y z))) (sqrt (+ y z))) (sqrt (* (cbrt (+ y z)) (cbrt (+ y z)))) (sqrt (cbrt (+ y z))) (sqrt (sqrt (+ y z))) (sqrt (sqrt (+ y z))) (sqrt 1) (sqrt (+ y z)) (sqrt 1) (sqrt (+ y z)) (sqrt (+ (pow y 3) (pow z 3))) (sqrt (+ (* y y) (- (* z z) (* y z)))) (sqrt (- (* y y) (* z z))) (sqrt (- y z)) (/ 1 2) (sqrt (sqrt (+ y z))) (sqrt (sqrt (+ y z))) (* z (sqrt -1)) y (- (+ (* +nan.0 (/ (pow z 2) (pow y 2))) (- (+ (* +nan.0 (/ z y)) (- +nan.0))))) (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 z) (- (* +nan.0 y)))))) (- (+ (* +nan.0 (/ z (pow y 2))) (- (+ (* +nan.0 (/ z y)) (- +nan.0))))) (- (+ (* +nan.0 (/ z (pow y 2))) (- (+ (* +nan.0 (/ z y)) (- +nan.0))))) 0.683 * * [simplify]: iteration 0 : 230 enodes (cost 417 ) 0.687 * * [simplify]: iteration 1 : 736 enodes (cost 401 ) 0.701 * * [simplify]: iteration 2 : 2896 enodes (cost 391 ) 0.745 * * [simplify]: iteration 3 : 5001 enodes (cost 391 ) 0.747 * [simplify]: Simplified to: (- (* y y) (* z z)) (* (sqrt (+ y z)) (sqrt (- y z))) (- (* y y) (* z z)) (log (* (sqrt (+ y z)) (sqrt (- y z)))) (log (* (sqrt (+ y z)) (sqrt (- y z)))) (exp (* (sqrt (+ y z)) (sqrt (- y z)))) (pow (* (sqrt (+ y z)) (sqrt (- y z))) 3) (* (cbrt (* (sqrt (+ y z)) (sqrt (- y z)))) (cbrt (* (sqrt (+ y z)) (sqrt (- y z))))) (cbrt (* (sqrt (+ y z)) (sqrt (- y z)))) (pow (* (sqrt (+ y z)) (sqrt (- y z))) 3) (- (* y y) (* z z)) (sqrt (* (sqrt (+ y z)) (sqrt (- y z)))) (sqrt (* (sqrt (+ y z)) (sqrt (- y z)))) (* (sqrt (+ (pow y 3) (pow z 3))) (sqrt (- (pow y 3) (pow z 3)))) (* (sqrt (+ (* y y) (- (* z z) (* y z)))) (sqrt (+ (* y y) (+ (* z z) (* y z))))) (* (sqrt (+ (pow y 3) (pow z 3))) (sqrt (- (* y y) (* z z)))) (* (sqrt (+ (* y y) (- (* z z) (* y z)))) (sqrt (+ y z))) (* (sqrt (- (* y y) (* z z))) (sqrt (- (pow y 3) (pow z 3)))) (* (sqrt (- y z)) (sqrt (+ (* y y) (+ (* z z) (* y z))))) (- (* y y) (* z z)) (* (sqrt (+ y z)) (sqrt (- y z))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (sqrt (+ y z))) (sqrt (sqrt (- y z)))) (* (sqrt (+ y z)) (* (cbrt (sqrt (- y z))) (cbrt (sqrt (- y z))))) (* (fabs (cbrt (- y z))) (sqrt (+ y z))) (* (sqrt (+ y z)) (sqrt (sqrt (- y z)))) (sqrt (+ y z)) (* (sqrt (+ y z)) (sqrt (+ (sqrt y) (sqrt z)))) (sqrt (+ y z)) (* (sqrt (+ y z)) (sqrt (sqrt (- y z)))) (sqrt (+ y z)) (* (cbrt (sqrt (+ y z))) (sqrt (- y z))) (* (sqrt (cbrt (+ y z))) (sqrt (- y z))) (* (sqrt (sqrt (+ y z))) (sqrt (- y z))) (* (sqrt (+ y z)) (sqrt (- y z))) (* (sqrt (+ y z)) (sqrt (- y z))) (* (sqrt (sqrt (+ y z))) (sqrt (- y z))) (* (sqrt (+ y z)) (sqrt (- y z))) (* (sqrt (+ y z)) (sqrt (- (pow y 3) (pow z 3)))) (* (sqrt (+ y z)) (sqrt (- (* y y) (* z z)))) (* (sqrt (+ (pow y 3) (pow z 3))) (sqrt (- y z))) (* (sqrt (- (* y y) (* z z))) (sqrt (- y z))) (log (sqrt (+ y z))) (exp (sqrt (+ y z))) (* (cbrt (sqrt (+ y z))) (cbrt (sqrt (+ y z)))) (cbrt (sqrt (+ y z))) (pow (sqrt (+ y z)) 3) (fabs (cbrt (+ y z))) (sqrt (cbrt (+ y z))) (sqrt (sqrt (+ y z))) (sqrt (sqrt (+ y z))) 1 (sqrt (+ y z)) 1 (sqrt (+ y z)) (sqrt (+ (pow y 3) (pow z 3))) (sqrt (+ (* y y) (- (* z z) (* y z)))) (sqrt (- (* y y) (* z z))) (sqrt (- y z)) 1/2 (sqrt (sqrt (+ y z))) (sqrt (sqrt (+ y z))) (* z (sqrt -1)) y (- (- (* +nan.0 (/ z y)) +nan.0) (* +nan.0 (/ (pow z 2) (pow y 2)))) (* +nan.0 (+ (- (pow y 2)) (- z y))) (- (- (* +nan.0 (/ z y)) +nan.0) (* +nan.0 (/ z (pow y 2)))) (- (- (* +nan.0 (/ z y)) +nan.0) (* +nan.0 (/ z (pow y 2)))) 0.747 * * * [progress]: adding candidates to table 0.891 * [progress]: [Phase 3 of 3] Extracting. 0.891 * * [regime]: Finding splitpoints for: (# # # #) 0.891 * * * [regime-changes]: Trying 3 branch expressions: (z y x) 0.891 * * * * [regimes]: Trying to branch on z from (# # # #) 0.918 * * * * [regimes]: Trying to branch on y from (# # # #) 0.938 * * * * [regimes]: Trying to branch on x from (# # # #) 0.981 * * * [regime]: Found split indices: #