2.210 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (- (* a a) (* b b)) 0.021 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.022 * * [simplify]: iteration 1 : 17 enodes (cost 3 ) 0.024 * * [simplify]: iteration 2 : 32 enodes (cost 3 ) 0.025 * * [simplify]: iteration 3 : 58 enodes (cost 3 ) 0.028 * * [simplify]: iteration 4 : 129 enodes (cost 3 ) 0.031 * * [simplify]: iteration 5 : 207 enodes (cost 3 ) 0.035 * * [simplify]: iteration 6 : 393 enodes (cost 3 ) 0.046 * * [simplify]: iteration 7 : 1794 enodes (cost 3 ) 0.113 * * [simplify]: iteration 8 : 5001 enodes (cost 3 ) 0.113 * [simplify]: Simplified to: (- (* a a) (* b b)) 0.113 * * [progress]: iteration 1 / 4 0.113 * * * [progress]: picking best candidate 0.115 * * * * [pick]: Picked # 0.115 * * * [progress]: localizing error 0.119 * * * [progress]: generating rewritten candidates 0.119 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.137 * * * [progress]: generating series expansions 0.137 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.137 * [approximate]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in (a b) around 0 0.137 * [taylor]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in b 0.137 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.137 * [taylor]: Taking taylor expansion of a in b 0.137 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.137 * [taylor]: Taking taylor expansion of b in b 0.137 * [taylor]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in a 0.137 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.137 * [taylor]: Taking taylor expansion of a in a 0.137 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.137 * [taylor]: Taking taylor expansion of b in a 0.137 * [taylor]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in a 0.137 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.137 * [taylor]: Taking taylor expansion of a in a 0.137 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.137 * [taylor]: Taking taylor expansion of b in a 0.138 * [taylor]: Taking taylor expansion of (- (pow b 2)) in b 0.138 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.138 * [taylor]: Taking taylor expansion of b in b 0.141 * [taylor]: Taking taylor expansion of 0 in b 0.142 * [taylor]: Taking taylor expansion of 1 in b 0.144 * [taylor]: Taking taylor expansion of 0 in b 0.146 * [taylor]: Taking taylor expansion of 0 in b 0.147 * [approximate]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in (a b) around 0 0.147 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.147 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.147 * [taylor]: Taking taylor expansion of a in b 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.147 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.147 * [taylor]: Taking taylor expansion of b in b 0.148 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.148 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.148 * [taylor]: Taking taylor expansion of a in a 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.148 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.148 * [taylor]: Taking taylor expansion of b in a 0.148 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.148 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.148 * [taylor]: Taking taylor expansion of a in a 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.149 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.149 * [taylor]: Taking taylor expansion of b in a 0.149 * [taylor]: Taking taylor expansion of 1 in b 0.150 * [taylor]: Taking taylor expansion of 0 in b 0.152 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2))) in b 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.152 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.152 * [taylor]: Taking taylor expansion of b in b 0.154 * [taylor]: Taking taylor expansion of 0 in b 0.158 * [taylor]: Taking taylor expansion of 0 in b 0.160 * [approximate]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in (a b) around 0 0.160 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.160 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.160 * [taylor]: Taking taylor expansion of a in b 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.160 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.160 * [taylor]: Taking taylor expansion of b in b 0.160 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.160 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.160 * [taylor]: Taking taylor expansion of a in a 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.161 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.161 * [taylor]: Taking taylor expansion of b in a 0.161 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.161 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.161 * [taylor]: Taking taylor expansion of a in a 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.162 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.162 * [taylor]: Taking taylor expansion of b in a 0.162 * [taylor]: Taking taylor expansion of 1 in b 0.163 * [taylor]: Taking taylor expansion of 0 in b 0.165 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2))) in b 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.165 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.165 * [taylor]: Taking taylor expansion of b in b 0.167 * [taylor]: Taking taylor expansion of 0 in b 0.170 * [taylor]: Taking taylor expansion of 0 in b 0.172 * * * [progress]: simplifying candidates 0.173 * [simplify]: Simplifying using # : (/ (exp (* a a)) (exp (* b b))) (log (- (* a a) (* b b))) (exp (- (* a a) (* b b))) (* (cbrt (- (* a a) (* b b))) (cbrt (- (* a a) (* b b)))) (cbrt (- (* a a) (* b b))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* a a) (* b b))) (sqrt (- (* a a) (* b b))) (sqrt (- (* a a) (* b b))) (- (pow (* a a) 3) (pow (* b b) 3)) (+ (* (* a a) (* a a)) (+ (* (* b b) (* b b)) (* (* a a) (* b b)))) (- (* b b)) (- (* (* a a) (* a a)) (* (* b b) (* b b))) (+ (* a a) (* b b)) (+ a b) (- a b) (+ a (sqrt (* b b))) (- a (sqrt (* b b))) (+ a (* (sqrt b) (sqrt b))) (- a (* (sqrt b) (sqrt b))) (+ a (* (sqrt b) (sqrt b))) (- a (* (sqrt b) (sqrt b))) (+ a b) (- a b) (+ (sqrt (* a a)) b) (- (sqrt (* a a)) b) (+ (sqrt (* a a)) (sqrt (* b b))) (- (sqrt (* a a)) (sqrt (* b b))) (+ (sqrt (* a a)) (* (sqrt b) (sqrt b))) (- (sqrt (* a a)) (* (sqrt b) (sqrt b))) (+ (sqrt (* a a)) (* (sqrt b) (sqrt b))) (- (sqrt (* a a)) (* (sqrt b) (sqrt b))) (+ (sqrt (* a a)) b) (- (sqrt (* a a)) b) (+ (* (sqrt a) (sqrt a)) b) (- (* (sqrt a) (sqrt a)) b) (+ (* (sqrt a) (sqrt a)) (sqrt (* b b))) (- (* (sqrt a) (sqrt a)) (sqrt (* b b))) (+ (* (sqrt a) (sqrt a)) (* (sqrt b) (sqrt b))) (- (* (sqrt a) (sqrt a)) (* (sqrt b) (sqrt b))) (+ (* (sqrt a) (sqrt a)) (* (sqrt b) (sqrt b))) (- (* (sqrt a) (sqrt a)) (* (sqrt b) (sqrt b))) (+ (* (sqrt a) (sqrt a)) b) (- (* (sqrt a) (sqrt a)) b) (+ (* (sqrt a) (sqrt a)) b) (- (* (sqrt a) (sqrt a)) b) (+ (* (sqrt a) (sqrt a)) (sqrt (* b b))) (- (* (sqrt a) (sqrt a)) (sqrt (* b b))) (+ (* (sqrt a) (sqrt a)) (* (sqrt b) (sqrt b))) (- (* (sqrt a) (sqrt a)) (* (sqrt b) (sqrt b))) (+ (* (sqrt a) (sqrt a)) (* (sqrt b) (sqrt b))) (- (* (sqrt a) (sqrt a)) (* (sqrt b) (sqrt b))) (+ (* (sqrt a) (sqrt a)) b) (- (* (sqrt a) (sqrt a)) b) (+ a b) (- a b) (+ a (sqrt (* b b))) (- a (sqrt (* b b))) (+ a (* (sqrt b) (sqrt b))) (- a (* (sqrt b) (sqrt b))) (+ a (* (sqrt b) (sqrt b))) (- a (* (sqrt b) (sqrt b))) (+ a b) (- a b) (- (* a a) (* b b)) (- (* a a) (* b b)) (- (* a a) (* b b)) (- (* a a) (* b b)) (- (* a a) (* b b)) (- (* b b)) (- (pow a 2) (pow b 2)) (- (pow a 2) (pow b 2)) (- (pow a 2) (pow b 2)) 0.176 * * [simplify]: iteration 0 : 132 enodes (cost 175 ) 0.180 * * [simplify]: iteration 1 : 471 enodes (cost 164 ) 0.189 * * [simplify]: iteration 2 : 1858 enodes (cost 164 ) 0.231 * * [simplify]: iteration 3 : 5002 enodes (cost 164 ) 0.233 * [simplify]: Simplified to: (exp (- (* a a) (* b b))) (log (- (* a a) (* b b))) (exp (- (* a a) (* b b))) (* (cbrt (- (* a a) (* b b))) (cbrt (- (* a a) (* b b)))) (cbrt (- (* a a) (* b b))) (pow (- (* a a) (* b b)) 3) (sqrt (- (* a a) (* b b))) (sqrt (- (* a a) (* b b))) (- (pow (* a a) 3) (pow (* b b) 3)) (+ (+ (pow a 4) (* (* a a) (* b b))) (pow b 4)) (- (* b b)) (+ (* (- (pow b 3)) b) (pow a 4)) (+ (* a a) (* b b)) (+ b a) (- a b) (+ (fabs b) a) (+ a (- (fabs b))) (+ b a) (- a b) (+ b a) (- a b) (+ b a) (- a b) (+ b (fabs a)) (+ (fabs a) (- b)) (+ (fabs b) (fabs a)) (+ (fabs a) (- (fabs b))) (+ b (fabs a)) (+ (fabs a) (- b)) (+ b (fabs a)) (+ (fabs a) (- b)) (+ b (fabs a)) (+ (fabs a) (- b)) (+ b a) (- a b) (+ (fabs b) a) (+ a (- (fabs b))) (+ b a) (- a b) (+ b a) (- a b) (+ b a) (- a b) (+ b a) (- a b) (+ (fabs b) a) (+ a (- (fabs b))) (+ b a) (- a b) (+ b a) (- a b) (+ b a) (- a b) (+ b a) (- a b) (+ (fabs b) a) (+ a (- (fabs b))) (+ b a) (- a b) (+ b a) (- a b) (+ b a) (- a b) (- (* a a) (* b b)) (- (* a a) (* b b)) (- (* a a) (* b b)) (- (* a a) (* b b)) (- (* a a) (* b b)) (- (* b b)) (- (* a a) (* b b)) (- (* a a) (* b b)) (- (* a a) (* b b)) 0.234 * * * [progress]: adding candidates to table 0.260 * * [progress]: iteration 2 / 4 0.260 * * * [progress]: picking best candidate 0.262 * * * * [pick]: Picked # 0.262 * * * [progress]: localizing error 0.266 * * * [progress]: generating rewritten candidates 0.266 * * * [progress]: generating series expansions 0.266 * * * [progress]: simplifying candidates 0.266 * [simplify]: Simplifying using # : 0.268 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.268 * [simplify]: Simplified to: 0.268 * * * [progress]: adding candidates to table 0.269 * [progress]: [Phase 3 of 3] Extracting. 0.270 * [simplify]: Simplifying using # : (* (+ b a) (- a b)) 0.271 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.271 * * [simplify]: iteration 1 : 7 enodes (cost 3 ) 0.271 * [simplify]: Simplified to: (* (+ b a) (- a b)) 0.791 * [regime-testing]: End program error score: 0.0007500937617202151 0.808 * [regime-testing]: Target error score: 0.0007500937617202151