7.343 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (- (* a a) (* b b)) 0.025 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.026 * * [simplify]: iteration 1 : 17 enodes (cost 3 ) 0.028 * * [simplify]: iteration 2 : 32 enodes (cost 3 ) 0.029 * * [simplify]: iteration 3 : 58 enodes (cost 3 ) 0.031 * * [simplify]: iteration 4 : 129 enodes (cost 3 ) 0.034 * * [simplify]: iteration 5 : 207 enodes (cost 3 ) 0.037 * * [simplify]: iteration 6 : 393 enodes (cost 3 ) 0.046 * * [simplify]: iteration 7 : 1794 enodes (cost 3 ) 0.099 * * [simplify]: iteration 8 : 5001 enodes (cost 3 ) 0.099 * [simplify]: Simplified to: (- (* a a) (* b b)) 0.100 * * [progress]: iteration 1 / 4 0.100 * * * [progress]: picking best candidate 0.101 * * * * [pick]: Picked # 0.101 * * * [progress]: localizing error 0.105 * * * [progress]: generating rewritten candidates 0.105 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.109 * * * [progress]: generating series expansions 0.109 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.109 * [approximate]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in (a b) around 0 0.109 * [taylor]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in b 0.109 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.109 * [taylor]: Taking taylor expansion of a in b 0.109 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.109 * [taylor]: Taking taylor expansion of b in b 0.109 * [taylor]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in a 0.109 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.109 * [taylor]: Taking taylor expansion of a in a 0.109 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.109 * [taylor]: Taking taylor expansion of b in a 0.109 * [taylor]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in a 0.109 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.109 * [taylor]: Taking taylor expansion of a in a 0.109 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.109 * [taylor]: Taking taylor expansion of b in a 0.110 * [taylor]: Taking taylor expansion of (- (pow b 2)) in b 0.110 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.110 * [taylor]: Taking taylor expansion of b in b 0.110 * [taylor]: Taking taylor expansion of 0 in b 0.111 * [taylor]: Taking taylor expansion of 1 in b 0.113 * [taylor]: Taking taylor expansion of 0 in b 0.115 * [taylor]: Taking taylor expansion of 0 in b 0.116 * [approximate]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in (a b) around 0 0.116 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.116 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.116 * [taylor]: Taking taylor expansion of a in b 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.116 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.116 * [taylor]: Taking taylor expansion of b in b 0.116 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.116 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.116 * [taylor]: Taking taylor expansion of a in a 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.117 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.117 * [taylor]: Taking taylor expansion of b in a 0.117 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.117 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.117 * [taylor]: Taking taylor expansion of a in a 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.118 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.118 * [taylor]: Taking taylor expansion of b in a 0.118 * [taylor]: Taking taylor expansion of 1 in b 0.119 * [taylor]: Taking taylor expansion of 0 in b 0.120 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2))) in b 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.120 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.120 * [taylor]: Taking taylor expansion of b in b 0.123 * [taylor]: Taking taylor expansion of 0 in b 0.126 * [taylor]: Taking taylor expansion of 0 in b 0.127 * [approximate]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in (a b) around 0 0.127 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.127 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.127 * [taylor]: Taking taylor expansion of a in b 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.128 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.128 * [taylor]: Taking taylor expansion of b in b 0.128 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.128 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.128 * [taylor]: Taking taylor expansion of a in a 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.129 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.129 * [taylor]: Taking taylor expansion of b in a 0.129 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.129 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.129 * [taylor]: Taking taylor expansion of a in a 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.129 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.129 * [taylor]: Taking taylor expansion of b in a 0.130 * [taylor]: Taking taylor expansion of 1 in b 0.131 * [taylor]: Taking taylor expansion of 0 in b 0.132 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2))) in b 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.132 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.132 * [taylor]: Taking taylor expansion of b in b 0.134 * [taylor]: Taking taylor expansion of 0 in b 0.137 * [taylor]: Taking taylor expansion of 0 in b 0.139 * * * [progress]: simplifying candidates 0.139 * [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) (- (* b b)) (- (pow a 2) (pow b 2)) (- (pow a 2) (pow b 2)) (- (pow a 2) (pow b 2)) 0.142 * * [simplify]: iteration 0 : 93 enodes (cost 83 ) 0.144 * * [simplify]: iteration 1 : 375 enodes (cost 72 ) 0.151 * * [simplify]: iteration 2 : 1243 enodes (cost 72 ) 0.177 * * [simplify]: iteration 3 : 5001 enodes (cost 72 ) 0.178 * [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)) (+ a b) (- a b) (- (* b b)) (- (* a a) (* b b)) (- (* a a) (* b b)) (- (* a a) (* b b)) 0.178 * * * [progress]: adding candidates to table 0.201 * * [progress]: iteration 2 / 4 0.201 * * * [progress]: picking best candidate 0.202 * * * * [pick]: Picked # 0.202 * * * [progress]: localizing error 0.206 * * * [progress]: generating rewritten candidates 0.206 * * * [progress]: generating series expansions 0.206 * * * [progress]: simplifying candidates 0.207 * [simplify]: Simplifying using # : 0.209 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.209 * [simplify]: Simplified to: 0.209 * * * [progress]: adding candidates to table 0.209 * [progress]: [Phase 3 of 3] Extracting. 0.210 * [simplify]: Simplifying using # : (* (+ a b) (- a b)) 0.211 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.211 * * [simplify]: iteration 1 : 7 enodes (cost 3 ) 0.211 * [simplify]: Simplified to: (* (+ a b) (- a b)) 0.782 * [regime-testing]: End program error score: 0.0011251406425803225 0.799 * [regime-testing]: Target error score: 0.0011251406425803225