20.565 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.045 * * * [progress]: [2/2] Setting up program. 0.048 * [progress]: [Phase 2 of 3] Improving. 0.049 * [simplify]: Simplifying using # : (* x (sqrt (- (* y y) (* z z)))) 0.051 * * [simplify]: iteration 0 : 14 enodes (cost 5 ) 0.052 * * [simplify]: iteration 1 : 21 enodes (cost 5 ) 0.053 * * [simplify]: iteration 2 : 36 enodes (cost 5 ) 0.054 * * [simplify]: iteration 3 : 62 enodes (cost 5 ) 0.055 * * [simplify]: iteration 4 : 133 enodes (cost 5 ) 0.057 * * [simplify]: iteration 5 : 211 enodes (cost 5 ) 0.061 * * [simplify]: iteration 6 : 397 enodes (cost 5 ) 0.069 * * [simplify]: iteration 7 : 1798 enodes (cost 5 ) 0.125 * * [simplify]: iteration 8 : 5001 enodes (cost 5 ) 0.125 * [simplify]: Simplified to: (* x (sqrt (- (* y y) (* z z)))) 0.125 * * [progress]: iteration 1 / 4 0.125 * * * [progress]: picking best candidate 0.128 * * * * [pick]: Picked # 0.128 * * * [progress]: localizing error 0.135 * * * [progress]: generating rewritten candidates 0.135 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.139 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.142 * * * [progress]: generating series expansions 0.142 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.143 * [approximate]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in (y z) around 0 0.143 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.143 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.143 * [taylor]: Taking taylor expansion of y in z 0.143 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.143 * [taylor]: Taking taylor expansion of z in z 0.143 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.143 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.143 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.143 * [taylor]: Taking taylor expansion of z in y 0.143 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.143 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.143 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.143 * [taylor]: Taking taylor expansion of z in y 0.144 * [taylor]: Taking taylor expansion of (sqrt (neg (pow z 2))) in z 0.144 * [taylor]: Taking taylor expansion of (neg (pow z 2)) in z 0.144 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.144 * [taylor]: Taking taylor expansion of z in z 0.144 * [taylor]: Taking taylor expansion of 0 in z 0.144 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (neg (pow z 2)))) in z 0.144 * [taylor]: Taking taylor expansion of 1/2 in z 0.144 * [taylor]: Taking taylor expansion of (sqrt (neg (pow z 2))) in z 0.144 * [taylor]: Taking taylor expansion of (neg (pow z 2)) in z 0.144 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.144 * [taylor]: Taking taylor expansion of z in z 0.145 * [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 0.145 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.145 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.145 * [taylor]: Taking taylor expansion of y in z 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.145 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.145 * [taylor]: Taking taylor expansion of z in z 0.145 * [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 0.146 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.146 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.146 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.146 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.146 * [taylor]: Taking taylor expansion of z in y 0.146 * [taylor]: Taking taylor expansion of 1 in z 0.146 * [taylor]: Taking taylor expansion of 0 in z 0.146 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.146 * [taylor]: Taking taylor expansion of -1/2 in z 0.146 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.146 * [taylor]: Taking taylor expansion of z in z 0.147 * [taylor]: Taking taylor expansion of 0 in z 0.147 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.147 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.147 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.147 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.147 * [taylor]: Taking taylor expansion of y in z 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.147 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.147 * [taylor]: Taking taylor expansion of z in z 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 0.147 * [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 0.148 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.148 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.148 * [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 0.148 * [taylor]: Taking taylor expansion of 1 in z 0.148 * [taylor]: Taking taylor expansion of 0 in z 0.148 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.148 * [taylor]: Taking taylor expansion of -1/2 in z 0.148 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.148 * [taylor]: Taking taylor expansion of z in z 0.149 * [taylor]: Taking taylor expansion of 0 in z 0.149 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 0.149 * [approximate]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in (y z) around 0 0.149 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.149 * [taylor]: Taking taylor expansion of y in z 0.149 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.149 * [taylor]: Taking taylor expansion of z in z 0.149 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 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 (pow z 2) in y 0.149 * [taylor]: Taking taylor expansion of z in y 0.149 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 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 (pow z 2) in y 0.149 * [taylor]: Taking taylor expansion of z in y 0.150 * [taylor]: Taking taylor expansion of (neg (pow z 2)) in z 0.150 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.150 * [taylor]: Taking taylor expansion of z in z 0.150 * [taylor]: Taking taylor expansion of 0 in z 0.150 * [taylor]: Taking taylor expansion of 1 in z 0.150 * [taylor]: Taking taylor expansion of 0 in z 0.150 * [taylor]: Taking taylor expansion of 0 in z 0.150 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.150 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.150 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.150 * [taylor]: Taking taylor expansion of y in z 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.150 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.150 * [taylor]: Taking taylor expansion of z in z 0.150 * [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 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.151 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.151 * [taylor]: Taking taylor expansion of z 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 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.151 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.151 * [taylor]: Taking taylor expansion of z in y 0.151 * [taylor]: Taking taylor expansion of 1 in z 0.151 * [taylor]: Taking taylor expansion of 0 in z 0.151 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow z 2))) in z 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.151 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.151 * [taylor]: Taking taylor expansion of z in z 0.152 * [taylor]: Taking taylor expansion of 0 in z 0.152 * [taylor]: Taking taylor expansion of 0 in z 0.152 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.152 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.152 * [taylor]: Taking taylor expansion of y in z 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.153 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.153 * [taylor]: Taking taylor expansion of z in z 0.153 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.153 * [taylor]: Taking taylor expansion of z in y 0.153 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.153 * [taylor]: Taking taylor expansion of z in y 0.153 * [taylor]: Taking taylor expansion of 1 in z 0.153 * [taylor]: Taking taylor expansion of 0 in z 0.153 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow z 2))) in z 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.153 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.153 * [taylor]: Taking taylor expansion of z in z 0.154 * [taylor]: Taking taylor expansion of 0 in z 0.154 * [taylor]: Taking taylor expansion of 0 in z 0.154 * * * [progress]: simplifying candidates 0.155 * [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)))) (neg (* z z)) (- (* (* y y) (* y y)) (* (* z z) (* z z))) (+ (* y y) (* z z)) (+ y z) (- y z) (neg (* z z)) (* z (sqrt (neg 1))) y (* -1 y) (- (pow y 2) (pow z 2)) (- (pow y 2) (pow z 2)) (- (pow y 2) (pow z 2)) 0.158 * * [simplify]: iteration 0 : 123 enodes (cost 189 ) 0.160 * * [simplify]: iteration 1 : 439 enodes (cost 175 ) 0.167 * * [simplify]: iteration 2 : 1491 enodes (cost 175 ) 0.197 * * [simplify]: iteration 3 : 5003 enodes (cost 174 ) 0.198 * [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)) (neg (* z z)) (+ (* (neg (pow z 3)) z) (pow y 4)) (+ (* y y) (* z z)) (+ y z) (- y z) (neg (* z z)) (* z (sqrt -1)) y (* -1 y) (- (* y y) (* z z)) (- (* y y) (* z z)) (- (* y y) (* z z)) 0.199 * * * [progress]: adding candidates to table 0.240 * * [progress]: iteration 2 / 4 0.240 * * * [progress]: picking best candidate 0.244 * * * * [pick]: Picked # 0.244 * * * [progress]: localizing error 0.248 * * * [progress]: generating rewritten candidates 0.248 * * * [progress]: generating series expansions 0.248 * * * [progress]: simplifying candidates 0.248 * [simplify]: Simplifying using # : 0.250 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.250 * [simplify]: Simplified to: 0.250 * * * [progress]: adding candidates to table 0.250 * * [progress]: iteration 3 / 4 0.250 * * * [progress]: picking best candidate 0.253 * * * * [pick]: Picked # 0.253 * * * [progress]: localizing error 0.255 * * * [progress]: generating rewritten candidates 0.255 * * * [progress]: generating series expansions 0.255 * * * [progress]: simplifying candidates 0.255 * [simplify]: Simplifying using # : 0.257 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.257 * [simplify]: Simplified to: 0.257 * * * [progress]: adding candidates to table 0.257 * [progress]: [Phase 3 of 3] Extracting. 0.257 * * [regime]: Finding splitpoints for: (# #) 0.257 * * * [regime-changes]: Trying 3 branch expressions: (z y x) 0.257 * * * * [regimes]: Trying to branch on z from (# #) 0.339 * * * * [regimes]: Trying to branch on y from (# #) 0.382 * * * * [regimes]: Trying to branch on x from (# #) 0.438 * * * [regime]: Found split indices: #