3.190 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.095 * * * [progress]: [2/2] Setting up program. 0.098 * [progress]: [Phase 2 of 3] Improving. 0.098 * [simplify]: Simplifying using # : (- (* a a) (* b b)) 0.100 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.102 * * [simplify]: iteration 1 : 17 enodes (cost 3 ) 0.103 * * [simplify]: iteration 2 : 32 enodes (cost 3 ) 0.104 * * [simplify]: iteration 3 : 58 enodes (cost 3 ) 0.106 * * [simplify]: iteration 4 : 129 enodes (cost 3 ) 0.109 * * [simplify]: iteration 5 : 207 enodes (cost 3 ) 0.113 * * [simplify]: iteration 6 : 393 enodes (cost 3 ) 0.123 * * [simplify]: iteration 7 : 1794 enodes (cost 3 ) 0.182 * * [simplify]: iteration 8 : 5001 enodes (cost 3 ) 0.183 * [simplify]: Simplified to: (- (* a a) (* b b)) 0.183 * * [progress]: iteration 1 / 4 0.183 * * * [progress]: picking best candidate 0.185 * * * * [pick]: Picked # 0.185 * * * [progress]: localizing error 0.190 * * * [progress]: generating rewritten candidates 0.190 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.194 * * * [progress]: generating series expansions 0.194 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.195 * [approximate]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in (a b) around 0 0.195 * [taylor]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in b 0.195 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.195 * [taylor]: Taking taylor expansion of a in b 0.195 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.195 * [taylor]: Taking taylor expansion of b in b 0.195 * [taylor]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in a 0.195 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.195 * [taylor]: Taking taylor expansion of a in a 0.195 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.195 * [taylor]: Taking taylor expansion of b in a 0.195 * [taylor]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in a 0.195 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.195 * [taylor]: Taking taylor expansion of a in a 0.195 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.195 * [taylor]: Taking taylor expansion of b in a 0.195 * [taylor]: Taking taylor expansion of (neg (pow b 2)) in b 0.195 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.195 * [taylor]: Taking taylor expansion of b in b 0.195 * [taylor]: Taking taylor expansion of 0 in b 0.195 * [taylor]: Taking taylor expansion of 1 in b 0.196 * [taylor]: Taking taylor expansion of 0 in b 0.196 * [taylor]: Taking taylor expansion of 0 in b 0.196 * [approximate]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in (a b) around 0 0.196 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.196 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.196 * [taylor]: Taking taylor expansion of a in b 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.196 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.196 * [taylor]: Taking taylor expansion of b in b 0.196 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.196 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.196 * [taylor]: Taking taylor expansion of a in a 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.197 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.197 * [taylor]: Taking taylor expansion of b in a 0.197 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.197 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.197 * [taylor]: Taking taylor expansion of a in a 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.197 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.197 * [taylor]: Taking taylor expansion of b in a 0.197 * [taylor]: Taking taylor expansion of 1 in b 0.197 * [taylor]: Taking taylor expansion of 0 in b 0.197 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow b 2))) in b 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.197 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.197 * [taylor]: Taking taylor expansion of b in b 0.198 * [taylor]: Taking taylor expansion of 0 in b 0.198 * [taylor]: Taking taylor expansion of 0 in b 0.199 * [approximate]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in (a b) around 0 0.199 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.199 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.199 * [taylor]: Taking taylor expansion of a in b 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.199 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.199 * [taylor]: Taking taylor expansion of b in b 0.199 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.199 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.199 * [taylor]: Taking taylor expansion of a in a 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.199 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.199 * [taylor]: Taking taylor expansion of b in a 0.199 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.199 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.199 * [taylor]: Taking taylor expansion of a in a 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.199 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.199 * [taylor]: Taking taylor expansion of b in a 0.199 * [taylor]: Taking taylor expansion of 1 in b 0.199 * [taylor]: Taking taylor expansion of 0 in b 0.200 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow b 2))) in b 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.200 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.200 * [taylor]: Taking taylor expansion of b in b 0.200 * [taylor]: Taking taylor expansion of 0 in b 0.200 * [taylor]: Taking taylor expansion of 0 in b 0.201 * * * [progress]: simplifying candidates 0.201 * [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)))) (neg (* b b)) (- (* (* a a) (* a a)) (* (* b b) (* b b))) (+ (* a a) (* b b)) (+ a b) (- a b) (neg (* b b)) (- (pow a 2) (pow b 2)) (- (pow a 2) (pow b 2)) (- (pow a 2) (pow b 2)) 0.204 * * [simplify]: iteration 0 : 93 enodes (cost 83 ) 0.207 * * [simplify]: iteration 1 : 375 enodes (cost 72 ) 0.214 * * [simplify]: iteration 2 : 1243 enodes (cost 72 ) 0.243 * * [simplify]: iteration 3 : 5001 enodes (cost 72 ) 0.245 * [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)) (neg (* b b)) (+ (* (neg (pow b 3)) b) (pow a 4)) (+ (* a a) (* b b)) (+ a b) (- a b) (neg (* b b)) (- (* a a) (* b b)) (- (* a a) (* b b)) (- (* a a) (* b b)) 0.245 * * * [progress]: adding candidates to table 0.263 * * [progress]: iteration 2 / 4 0.263 * * * [progress]: picking best candidate 0.266 * * * * [pick]: Picked # 0.266 * * * [progress]: localizing error 0.271 * * * [progress]: generating rewritten candidates 0.271 * * * [progress]: generating series expansions 0.271 * * * [progress]: simplifying candidates 0.271 * [simplify]: Simplifying using # : 0.273 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.273 * [simplify]: Simplified to: 0.273 * * * [progress]: adding candidates to table 0.274 * [progress]: [Phase 3 of 3] Extracting. 0.276 * [simplify]: Simplifying using # : (* (+ a b) (- a b)) 0.277 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.278 * * [simplify]: iteration 1 : 7 enodes (cost 3 ) 0.278 * [simplify]: Simplified to: (* (+ a b) (- a b)) 0.890 * [regime-testing]: End program error score: 0.0006250781347668458 0.960 * [regime-testing]: Target error score: 0.0006250781347668458