13.266 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying using # : (/ (* a1 a2) (* b1 b2)) 0.032 * * [simplify]: iteration 0 : 16 enodes (cost 3 ) 0.033 * * [simplify]: iteration 1 : 37 enodes (cost 3 ) 0.034 * * [simplify]: iteration 2 : 67 enodes (cost 3 ) 0.036 * * [simplify]: iteration 3 : 79 enodes (cost 3 ) 0.037 * * [simplify]: iteration 4 : 79 enodes (cost 3 ) 0.037 * [simplify]: Simplified to: (/ (* a1 a2) (* b1 b2)) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.046 * * * [progress]: generating rewritten candidates 0.046 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.052 * * * [progress]: generating series expansions 0.052 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.052 * [approximate]: Approximating (/ (* a1 a2) (* b1 b2)) in (a1 a2 b1 b2) around 0 0.055 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in a2 0.055 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b1 0.055 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.057 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in a2 0.057 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b1 0.057 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b1 0.058 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.060 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in a2 0.060 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b1 0.060 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b1 0.060 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b1 0.060 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.061 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.062 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.064 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in a2 0.064 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b1 0.065 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b1 0.065 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b1 0.066 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b1 0.066 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.066 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.066 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.066 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.066 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.067 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.068 * [approximate]: Approximating (/ (* b1 b2) (* a1 a2)) in (a1 a2 b1 b2) around 0 0.070 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.070 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.070 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.071 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.072 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.072 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.073 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.074 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.074 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.074 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.076 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.076 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.076 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.076 * [approximate]: Approximating (/ (* b1 b2) (* a1 a2)) in (a1 a2 b1 b2) around 0 0.078 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.078 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.079 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.080 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.080 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.080 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.081 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.083 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.083 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.083 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.084 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.084 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.084 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.084 * * * [progress]: simplifying candidates 0.085 * [simplify]: Simplifying using # : (- (+ (log a1) (log a2)) (+ (log b1) (log b2))) (- (+ (log a1) (log a2)) (log (* b1 b2))) (- (log (* a1 a2)) (+ (log b1) (log b2))) (- (log (* a1 a2)) (log (* b1 b2))) (log (/ (* a1 a2) (* b1 b2))) (exp (/ (* a1 a2) (* b1 b2))) (/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2))) (/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2))) (/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2))) (/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2))) (* (cbrt (/ (* a1 a2) (* b1 b2))) (cbrt (/ (* a1 a2) (* b1 b2)))) (cbrt (/ (* a1 a2) (* b1 b2))) (* (* (/ (* a1 a2) (* b1 b2)) (/ (* a1 a2) (* b1 b2))) (/ (* a1 a2) (* b1 b2))) (sqrt (/ (* a1 a2) (* b1 b2))) (sqrt (/ (* a1 a2) (* b1 b2))) (neg (* a1 a2)) (neg (* b1 b2)) (/ a1 b1) (/ a2 b2) (/ 1 (* b1 b2)) (/ (* b1 b2) (* a1 a2)) (/ (* a1 a2) b1) (/ (* b1 b2) a2) (/ (* a1 a2) (* b1 b2)) (/ (* a1 a2) (* b1 b2)) (/ (* a1 a2) (* b1 b2)) 0.087 * * [simplify]: iteration 0 : 160 enodes (cost 124 ) 0.091 * * [simplify]: iteration 1 : 936 enodes (cost 89 ) 0.110 * * [simplify]: iteration 2 : 5001 enodes (cost 89 ) 0.111 * [simplify]: Simplified to: (log (/ (* a1 a2) (* b1 b2))) (log (/ (* a1 a2) (* b1 b2))) (log (/ (* a1 a2) (* b1 b2))) (log (/ (* a1 a2) (* b1 b2))) (log (/ (* a1 a2) (* b1 b2))) (exp (/ (* a1 a2) (* b1 b2))) (pow (/ (* a1 a2) (* b1 b2)) 3) (pow (/ (* a1 a2) (* b1 b2)) 3) (pow (/ (* a1 a2) (* b1 b2)) 3) (pow (/ (* a1 a2) (* b1 b2)) 3) (* (cbrt (/ (* a1 a2) (* b1 b2))) (cbrt (/ (* a1 a2) (* b1 b2)))) (cbrt (/ (* a1 a2) (* b1 b2))) (pow (/ (* a1 a2) (* b1 b2)) 3) (sqrt (/ (* a1 a2) (* b1 b2))) (sqrt (/ (* a1 a2) (* b1 b2))) (neg (* a1 a2)) (neg (* b1 b2)) (/ a1 b1) (/ a2 b2) (/ 1 (* b1 b2)) (/ (* b1 b2) (* a1 a2)) (/ (* a1 a2) b1) (/ (* b1 b2) a2) (/ (* a1 a2) (* b1 b2)) (/ (* a1 a2) (* b1 b2)) (/ (* a1 a2) (* b1 b2)) 0.111 * * * [progress]: adding candidates to table 0.141 * * [progress]: iteration 2 / 4 0.141 * * * [progress]: picking best candidate 0.163 * * * * [pick]: Picked # 0.163 * * * [progress]: localizing error 0.168 * * * [progress]: generating rewritten candidates 0.168 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.180 * * * [progress]: generating series expansions 0.180 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.180 * [approximate]: Approximating (/ (* a1 a2) (* b1 b2)) in (a1 b1 a2 b2) around 0 0.182 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b1 0.183 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in a2 0.183 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.184 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b1 0.188 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in a2 0.188 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.188 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.190 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b1 0.190 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in a2 0.190 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.191 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in a2 0.191 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.191 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.191 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.194 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b1 0.194 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in a2 0.194 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.194 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in a2 0.194 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.196 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in a2 0.196 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.196 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.196 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.196 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.196 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.196 * [approximate]: Approximating (/ (* b1 b2) (* a1 a2)) in (a1 b1 a2 b2) around 0 0.199 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.199 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.199 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.200 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.200 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.201 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.201 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.203 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.203 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.203 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.204 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.204 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.204 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.205 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.206 * [approximate]: Approximating (/ (* b1 b2) (* a1 a2)) in (a1 b1 a2 b2) around 0 0.208 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.208 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.208 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.209 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.209 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.210 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.211 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.212 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.212 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.212 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.213 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.214 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.214 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.215 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.215 * * * [progress]: simplifying candidates 0.216 * [simplify]: Simplifying using # : (* (/ a1 b1) (/ a2 b2)) (+ (- (log a1) (log b1)) (- (log a2) (log b2))) (+ (- (log a1) (log b1)) (log (/ a2 b2))) (+ (log (/ a1 b1)) (- (log a2) (log b2))) (+ (log (/ a1 b1)) (log (/ a2 b2))) (log (* (/ a1 b1) (/ a2 b2))) (exp (* (/ a1 b1) (/ a2 b2))) (* (/ (* (* a1 a1) a1) (* (* b1 b1) b1)) (/ (* (* a2 a2) a2) (* (* b2 b2) b2))) (* (/ (* (* a1 a1) a1) (* (* b1 b1) b1)) (* (* (/ a2 b2) (/ a2 b2)) (/ a2 b2))) (* (* (* (/ a1 b1) (/ a1 b1)) (/ a1 b1)) (/ (* (* a2 a2) a2) (* (* b2 b2) b2))) (* (* (* (/ a1 b1) (/ a1 b1)) (/ a1 b1)) (* (* (/ a2 b2) (/ a2 b2)) (/ a2 b2))) (* (cbrt (* (/ a1 b1) (/ a2 b2))) (cbrt (* (/ a1 b1) (/ a2 b2)))) (cbrt (* (/ a1 b1) (/ a2 b2))) (* (* (* (/ a1 b1) (/ a2 b2)) (* (/ a1 b1) (/ a2 b2))) (* (/ a1 b1) (/ a2 b2))) (sqrt (* (/ a1 b1) (/ a2 b2))) (sqrt (* (/ a1 b1) (/ a2 b2))) (* a1 a2) (* b1 b2) (* (sqrt (/ a1 b1)) (sqrt (/ a2 b2))) (* (sqrt (/ a1 b1)) (sqrt (/ a2 b2))) (* (sqrt (/ a1 b1)) (/ (sqrt a2) (sqrt b2))) (* (sqrt (/ a1 b1)) (/ (sqrt a2) (sqrt b2))) (* (/ (sqrt a1) (sqrt b1)) (sqrt (/ a2 b2))) (* (/ (sqrt a1) (sqrt b1)) (sqrt (/ a2 b2))) (* (/ (sqrt a1) (sqrt b1)) (/ (sqrt a2) (sqrt b2))) (* (/ (sqrt a1) (sqrt b1)) (/ (sqrt a2) (sqrt b2))) (* (/ a1 b1) (* (cbrt (/ a2 b2)) (cbrt (/ a2 b2)))) (* (/ a1 b1) (sqrt (/ a2 b2))) (* (/ a1 b1) (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b2) (cbrt b2)))) (* (/ a1 b1) (/ (* (cbrt a2) (cbrt a2)) (sqrt b2))) (* (/ a1 b1) (/ (* (cbrt a2) (cbrt a2)) 1)) (* (/ a1 b1) (/ (sqrt a2) (* (cbrt b2) (cbrt b2)))) (* (/ a1 b1) (/ (sqrt a2) (sqrt b2))) (* (/ a1 b1) (/ (sqrt a2) 1)) (* (/ a1 b1) (/ 1 (* (cbrt b2) (cbrt b2)))) (* (/ a1 b1) (/ 1 (sqrt b2))) (* (/ a1 b1) (/ 1 1)) (* (/ a1 b1) 1) (* (/ a1 b1) a2) (* (cbrt (/ a1 b1)) (/ a2 b2)) (* (sqrt (/ a1 b1)) (/ a2 b2)) (* (/ (cbrt a1) (cbrt b1)) (/ a2 b2)) (* (/ (cbrt a1) (sqrt b1)) (/ a2 b2)) (* (/ (cbrt a1) b1) (/ a2 b2)) (* (/ (sqrt a1) (cbrt b1)) (/ a2 b2)) (* (/ (sqrt a1) (sqrt b1)) (/ a2 b2)) (* (/ (sqrt a1) b1) (/ a2 b2)) (* (/ a1 (cbrt b1)) (/ a2 b2)) (* (/ a1 (sqrt b1)) (/ a2 b2)) (* (/ a1 b1) (/ a2 b2)) (* (/ a1 b1) (/ a2 b2)) (* (/ 1 b1) (/ a2 b2)) (* (/ a1 b1) a2) (* a1 (/ a2 b2)) (/ (* a1 a2) (* b1 b2)) (/ (* a1 a2) (* b1 b2)) (/ (* a1 a2) (* b1 b2)) 0.219 * * [simplify]: iteration 0 : 319 enodes (cost 278 ) 0.225 * * [simplify]: iteration 1 : 1415 enodes (cost 243 ) 0.249 * * [simplify]: iteration 2 : 5001 enodes (cost 242 ) 0.251 * [simplify]: Simplified to: (/ (* a1 a2) (* b1 b2)) (log (* (/ a1 b1) (/ a2 b2))) (log (* (/ a1 b1) (/ a2 b2))) (log (* (/ a1 b1) (/ a2 b2))) (log (* (/ a1 b1) (/ a2 b2))) (log (* (/ a1 b1) (/ a2 b2))) (exp (* (/ a1 b1) (/ a2 b2))) (pow (/ (* a1 a2) (* b1 b2)) 3) (pow (/ (* a1 a2) (* b1 b2)) 3) (pow (/ (* a1 a2) (* b1 b2)) 3) (pow (/ (* a1 a2) (* b1 b2)) 3) (* (cbrt (* (/ a1 b1) (/ a2 b2))) (cbrt (* (/ a1 b1) (/ a2 b2)))) (cbrt (* (/ a1 b1) (/ a2 b2))) (pow (/ (* a1 a2) (* b1 b2)) 3) (sqrt (* (/ a1 b1) (/ a2 b2))) (sqrt (* (/ a1 b1) (/ a2 b2))) (* a1 a2) (* b1 b2) (* (sqrt (/ a1 b1)) (sqrt (/ a2 b2))) (* (sqrt (/ a1 b1)) (sqrt (/ a2 b2))) (* (sqrt (/ a1 b1)) (/ (sqrt a2) (sqrt b2))) (* (sqrt (/ a1 b1)) (/ (sqrt a2) (sqrt b2))) (* (/ (sqrt a1) (sqrt b1)) (sqrt (/ a2 b2))) (* (/ (sqrt a1) (sqrt b1)) (sqrt (/ a2 b2))) (* (/ (sqrt a1) (sqrt b1)) (/ (sqrt a2) (sqrt b2))) (* (/ (sqrt a1) (sqrt b1)) (/ (sqrt a2) (sqrt b2))) (* (/ a1 b1) (* (cbrt (/ a2 b2)) (cbrt (/ a2 b2)))) (* (/ a1 b1) (sqrt (/ a2 b2))) (* (/ a1 b1) (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b2) (cbrt b2)))) (* (/ a1 b1) (/ (* (cbrt a2) (cbrt a2)) (sqrt b2))) (/ (* a1 (* (cbrt a2) (cbrt a2))) b1) (* (/ a1 b1) (/ (sqrt a2) (* (cbrt b2) (cbrt b2)))) (* (/ a1 b1) (/ (sqrt a2) (sqrt b2))) (/ (* a1 (sqrt a2)) b1) (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ (/ a1 b1) (sqrt b2)) (/ a1 b1) (/ a1 b1) (* (/ a1 b1) a2) (* (cbrt (/ a1 b1)) (/ a2 b2)) (* (sqrt (/ a1 b1)) (/ a2 b2)) (* (/ (cbrt a1) (cbrt b1)) (/ a2 b2)) (* (/ (cbrt a1) (sqrt b1)) (/ a2 b2)) (* (/ (cbrt a1) b1) (/ a2 b2)) (* (/ (sqrt a1) (cbrt b1)) (/ a2 b2)) (* (/ (sqrt a1) (sqrt b1)) (/ a2 b2)) (* (/ (sqrt a1) b1) (/ a2 b2)) (* (/ a1 (cbrt b1)) (/ a2 b2)) (* (/ a1 (sqrt b1)) (/ a2 b2)) (/ (* a1 a2) (* b1 b2)) (/ (* a1 a2) (* b1 b2)) (/ (/ a2 b2) b1) (* (/ a1 b1) a2) (* a1 (/ a2 b2)) (/ (* a1 a2) (* b1 b2)) (/ (* a1 a2) (* b1 b2)) (/ (* a1 a2) (* b1 b2)) 0.251 * * * [progress]: adding candidates to table 0.372 * * [progress]: iteration 3 / 4 0.372 * * * [progress]: picking best candidate 0.402 * * * * [pick]: Picked # 0.402 * * * [progress]: localizing error 0.408 * * * [progress]: generating rewritten candidates 0.408 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.413 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.424 * * * [progress]: generating series expansions 0.424 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.424 * [approximate]: Approximating (/ (* a1 a2) (* b1 b2)) in (a1 a2 b2 b1) around 0 0.426 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in a2 0.427 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.427 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b1 0.428 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in a2 0.428 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.428 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.429 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b1 0.431 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in a2 0.431 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.431 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.432 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.432 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b1 0.432 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b1 0.433 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b1 0.436 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in a2 0.436 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.436 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.436 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.437 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.437 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b1 0.437 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b1 0.437 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b1 0.437 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b1 0.437 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b1 0.437 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b1 0.438 * [approximate]: Approximating (/ (* b1 b2) (* a1 a2)) in (a1 a2 b2 b1) around 0 0.440 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.440 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.441 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.442 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.442 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.442 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.443 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.445 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.445 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.445 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.446 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.446 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.446 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.447 * [approximate]: Approximating (/ (* b1 b2) (* a1 a2)) in (a1 a2 b2 b1) around 0 0.449 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.449 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.449 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.450 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.451 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.451 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.451 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.453 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.453 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.453 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.455 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.455 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.455 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.455 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.455 * [approximate]: Approximating (/ (* a1 a2) b2) in (a1 a2 b2) around 0 0.456 * [taylor]: Taking taylor expansion of (/ (* a1 a2) b2) in a2 0.457 * [taylor]: Taking taylor expansion of (/ (* a1 a2) b2) in b2 0.458 * [taylor]: Taking taylor expansion of (/ (* a1 a2) b2) in a2 0.458 * [taylor]: Taking taylor expansion of (/ (* a1 a2) b2) in b2 0.458 * [taylor]: Taking taylor expansion of (/ (* a1 a2) b2) in b2 0.459 * [taylor]: Taking taylor expansion of (/ (* a1 a2) b2) in a2 0.459 * [taylor]: Taking taylor expansion of (/ (* a1 a2) b2) in b2 0.459 * [taylor]: Taking taylor expansion of (/ (* a1 a2) b2) in b2 0.460 * [taylor]: Taking taylor expansion of (/ (* a1 a2) b2) in b2 0.462 * [taylor]: Taking taylor expansion of (/ (* a1 a2) b2) in a2 0.462 * [taylor]: Taking taylor expansion of (/ (* a1 a2) b2) in b2 0.462 * [taylor]: Taking taylor expansion of (/ (* a1 a2) b2) in b2 0.462 * [taylor]: Taking taylor expansion of (/ (* a1 a2) b2) in b2 0.462 * [taylor]: Taking taylor expansion of (/ (* a1 a2) b2) in b2 0.462 * [approximate]: Approximating (/ b2 (* a1 a2)) in (a1 a2 b2) around 0 0.463 * [taylor]: Taking taylor expansion of (/ b2 (* a1 a2)) in a2 0.463 * [taylor]: Taking taylor expansion of (/ b2 (* a1 a2)) in b2 0.464 * [taylor]: Taking taylor expansion of (/ b2 (* a1 a2)) in a2 0.465 * [taylor]: Taking taylor expansion of (/ b2 (* a1 a2)) in b2 0.466 * [taylor]: Taking taylor expansion of (/ b2 (* a1 a2)) in a2 0.466 * [taylor]: Taking taylor expansion of (/ b2 (* a1 a2)) in b2 0.467 * [taylor]: Taking taylor expansion of (/ b2 (* a1 a2)) in b2 0.468 * [approximate]: Approximating (* -1 (/ b2 (* a1 a2))) in (a1 a2 b2) around 0 0.469 * [taylor]: Taking taylor expansion of (* -1 (/ b2 (* a1 a2))) in a2 0.469 * [taylor]: Taking taylor expansion of (* -1 (/ b2 (* a1 a2))) in b2 0.471 * [taylor]: Taking taylor expansion of (* -1 (/ b2 (* a1 a2))) in a2 0.472 * [taylor]: Taking taylor expansion of (* -1 (/ b2 (* a1 a2))) in b2 0.474 * [taylor]: Taking taylor expansion of (* -1 (/ b2 (* a1 a2))) in a2 0.474 * [taylor]: Taking taylor expansion of (* -1 (/ b2 (* a1 a2))) in b2 0.476 * [taylor]: Taking taylor expansion of (* -1 (/ b2 (* a1 a2))) in b2 0.477 * * * [progress]: simplifying candidates 0.478 * [simplify]: Simplifying using # : (- (+ (log a1) (- (log a2) (log b2))) (log b1)) (- (+ (log a1) (log (/ a2 b2))) (log b1)) (- (log (* a1 (/ a2 b2))) (log b1)) (log (/ (* a1 (/ a2 b2)) b1)) (exp (/ (* a1 (/ a2 b2)) b1)) (/ (* (* (* a1 a1) a1) (/ (* (* a2 a2) a2) (* (* b2 b2) b2))) (* (* b1 b1) b1)) (/ (* (* (* a1 a1) a1) (* (* (/ a2 b2) (/ a2 b2)) (/ a2 b2))) (* (* b1 b1) b1)) (/ (* (* (* a1 (/ a2 b2)) (* a1 (/ a2 b2))) (* a1 (/ a2 b2))) (* (* b1 b1) b1)) (* (cbrt (/ (* a1 (/ a2 b2)) b1)) (cbrt (/ (* a1 (/ a2 b2)) b1))) (cbrt (/ (* a1 (/ a2 b2)) b1)) (* (* (/ (* a1 (/ a2 b2)) b1) (/ (* a1 (/ a2 b2)) b1)) (/ (* a1 (/ a2 b2)) b1)) (sqrt (/ (* a1 (/ a2 b2)) b1)) (sqrt (/ (* a1 (/ a2 b2)) b1)) (neg (* a1 (/ a2 b2))) (neg b1) (/ a1 (* (cbrt b1) (cbrt b1))) (/ (/ a2 b2) (cbrt b1)) (/ a1 (sqrt b1)) (/ (/ a2 b2) (sqrt b1)) (/ a1 1) (/ (/ a2 b2) b1) (/ 1 b1) (/ b1 (* a1 (/ a2 b2))) (/ (* a1 (/ a2 b2)) (* (cbrt b1) (cbrt b1))) (/ (* a1 (/ a2 b2)) (sqrt b1)) (/ (* a1 (/ a2 b2)) 1) (/ b1 (/ a2 b2)) (* b1 b2) (* a1 (/ a2 b2)) (+ (log a1) (- (log a2) (log b2))) (+ (log a1) (log (/ a2 b2))) (log (* a1 (/ a2 b2))) (exp (* a1 (/ a2 b2))) (* (* (* a1 a1) a1) (/ (* (* a2 a2) a2) (* (* b2 b2) b2))) (* (* (* a1 a1) a1) (* (* (/ a2 b2) (/ a2 b2)) (/ a2 b2))) (* (cbrt (* a1 (/ a2 b2))) (cbrt (* a1 (/ a2 b2)))) (cbrt (* a1 (/ a2 b2))) (* (* (* a1 (/ a2 b2)) (* a1 (/ a2 b2))) (* a1 (/ a2 b2))) (sqrt (* a1 (/ a2 b2))) (sqrt (* a1 (/ a2 b2))) (* (sqrt a1) (sqrt (/ a2 b2))) (* (sqrt a1) (sqrt (/ a2 b2))) (* (sqrt a1) (/ (sqrt a2) (sqrt b2))) (* (sqrt a1) (/ (sqrt a2) (sqrt b2))) (* a1 (* (cbrt (/ a2 b2)) (cbrt (/ a2 b2)))) (* a1 (sqrt (/ a2 b2))) (* a1 (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b2) (cbrt b2)))) (* a1 (/ (* (cbrt a2) (cbrt a2)) (sqrt b2))) (* a1 (/ (* (cbrt a2) (cbrt a2)) 1)) (* a1 (/ (sqrt a2) (* (cbrt b2) (cbrt b2)))) (* a1 (/ (sqrt a2) (sqrt b2))) (* a1 (/ (sqrt a2) 1)) (* a1 (/ 1 (* (cbrt b2) (cbrt b2)))) (* a1 (/ 1 (sqrt b2))) (* a1 (/ 1 1)) (* a1 1) (* a1 a2) (* (cbrt a1) (/ a2 b2)) (* (sqrt a1) (/ a2 b2)) (* a1 (/ a2 b2)) (* a1 a2) (/ (* a1 a2) (* b1 b2)) (/ (* a1 a2) (* b1 b2)) (/ (* a1 a2) (* b1 b2)) (/ (* a1 a2) b2) (/ (* a1 a2) b2) (/ (* a1 a2) b2) 0.482 * * [simplify]: iteration 0 : 270 enodes (cost 264 ) 0.487 * * [simplify]: iteration 1 : 1342 enodes (cost 221 ) 0.511 * * [simplify]: iteration 2 : 5002 enodes (cost 221 ) 0.513 * [simplify]: Simplified to: (log (/ (* a1 (/ a2 b2)) b1)) (log (/ (* a1 (/ a2 b2)) b1)) (log (/ (* a1 (/ a2 b2)) b1)) (log (/ (* a1 (/ a2 b2)) b1)) (exp (/ (* a1 (/ a2 b2)) b1)) (pow (/ (* a1 (/ a2 b2)) b1) 3) (pow (/ (* a1 (/ a2 b2)) b1) 3) (pow (/ (* a1 (/ a2 b2)) b1) 3) (* (cbrt (/ (* a1 (/ a2 b2)) b1)) (cbrt (/ (* a1 (/ a2 b2)) b1))) (cbrt (/ (* a1 (/ a2 b2)) b1)) (pow (/ (* a1 (/ a2 b2)) b1) 3) (sqrt (/ (* a1 (/ a2 b2)) b1)) (sqrt (/ (* a1 (/ a2 b2)) b1)) (neg (* a1 (/ a2 b2))) (neg b1) (/ a1 (* (cbrt b1) (cbrt b1))) (/ (/ a2 b2) (cbrt b1)) (/ a1 (sqrt b1)) (/ (/ a2 b2) (sqrt b1)) a1 (/ (/ a2 b2) b1) (/ 1 b1) (/ b1 (* a1 (/ a2 b2))) (/ (* a1 (/ a2 b2)) (* (cbrt b1) (cbrt b1))) (/ (* a1 (/ a2 b2)) (sqrt b1)) (* a1 (/ a2 b2)) (/ b1 (/ a2 b2)) (* b1 b2) (* a1 (/ a2 b2)) (log (* a1 (/ a2 b2))) (log (* a1 (/ a2 b2))) (log (* a1 (/ a2 b2))) (exp (* a1 (/ a2 b2))) (pow (* a1 (/ a2 b2)) 3) (pow (* a1 (/ a2 b2)) 3) (* (cbrt (* a1 (/ a2 b2))) (cbrt (* a1 (/ a2 b2)))) (cbrt (* a1 (/ a2 b2))) (pow (* a1 (/ a2 b2)) 3) (sqrt (* a1 (/ a2 b2))) (sqrt (* a1 (/ a2 b2))) (* (sqrt a1) (sqrt (/ a2 b2))) (* (sqrt a1) (sqrt (/ a2 b2))) (* (sqrt a1) (/ (sqrt a2) (sqrt b2))) (* (sqrt a1) (/ (sqrt a2) (sqrt b2))) (* a1 (* (cbrt (/ a2 b2)) (cbrt (/ a2 b2)))) (* a1 (sqrt (/ a2 b2))) (* a1 (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b2) (cbrt b2)))) (* a1 (/ (* (cbrt a2) (cbrt a2)) (sqrt b2))) (* (* (cbrt a2) (cbrt a2)) a1) (* a1 (/ (sqrt a2) (* (cbrt b2) (cbrt b2)))) (* a1 (/ (sqrt a2) (sqrt b2))) (* (sqrt a2) a1) (/ a1 (* (cbrt b2) (cbrt b2))) (/ a1 (sqrt b2)) a1 a1 (* a1 a2) (* (cbrt a1) (/ a2 b2)) (* (sqrt a1) (/ a2 b2)) (* a1 (/ a2 b2)) (* a1 a2) (/ (* a1 a2) (* b1 b2)) (/ (* a1 a2) (* b1 b2)) (/ (* a1 a2) (* b1 b2)) (* a1 (/ a2 b2)) (* a1 (/ a2 b2)) (* a1 (/ a2 b2)) 0.513 * * * [progress]: adding candidates to table 0.628 * * [progress]: iteration 4 / 4 0.628 * * * [progress]: picking best candidate 0.659 * * * * [pick]: Picked # 0.659 * * * [progress]: localizing error 0.668 * * * [progress]: generating rewritten candidates 0.668 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.677 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.686 * * * [progress]: generating series expansions 0.686 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.686 * [approximate]: Approximating (/ (* a1 a2) (* b1 b2)) in (a1 b1 a2 b2) around 0 0.688 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b1 0.689 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in a2 0.689 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.690 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b1 0.691 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in a2 0.691 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.691 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.693 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b1 0.693 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in a2 0.693 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.694 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in a2 0.694 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.694 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.694 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.697 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b1 0.697 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in a2 0.697 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.697 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in a2 0.697 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.699 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in a2 0.699 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.699 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.699 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.699 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.699 * [taylor]: Taking taylor expansion of (/ (* a1 a2) (* b1 b2)) in b2 0.699 * [approximate]: Approximating (/ (* b1 b2) (* a1 a2)) in (a1 b1 a2 b2) around 0 0.701 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.702 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.702 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.703 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.703 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.703 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.704 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.706 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.706 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.706 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.707 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.707 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.707 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.708 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.708 * [approximate]: Approximating (/ (* b1 b2) (* a1 a2)) in (a1 b1 a2 b2) around 0 0.711 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.711 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.711 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.712 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.712 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.713 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.713 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.715 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b1 0.715 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.715 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.716 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in a2 0.716 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.716 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.717 * [taylor]: Taking taylor expansion of (/ (* b1 b2) (* a1 a2)) in b2 0.718 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.718 * [approximate]: Approximating (/ (* a1 a2) b1) in (a1 b1 a2) around 0 0.719 * [taylor]: Taking taylor expansion of (/ (* a1 a2) b1) in b1 0.719 * [taylor]: Taking taylor expansion of (/ (* a1 a2) b1) in a2 0.720 * [taylor]: Taking taylor expansion of (/ (* a1 a2) b1) in b1 0.721 * [taylor]: Taking taylor expansion of (/ (* a1 a2) b1) in a2 0.722 * [taylor]: Taking taylor expansion of (/ (* a1 a2) b1) in b1 0.722 * [taylor]: Taking taylor expansion of (/ (* a1 a2) b1) in a2 0.723 * [taylor]: Taking taylor expansion of (/ (* a1 a2) b1) in a2 0.723 * [approximate]: Approximating (/ b1 (* a1 a2)) in (a1 b1 a2) around 0 0.724 * [taylor]: Taking taylor expansion of (/ b1 (* a1 a2)) in b1 0.725 * [taylor]: Taking taylor expansion of (/ b1 (* a1 a2)) in a2 0.726 * [taylor]: Taking taylor expansion of (/ b1 (* a1 a2)) in b1 0.726 * [taylor]: Taking taylor expansion of (/ b1 (* a1 a2)) in a2 0.726 * [taylor]: Taking taylor expansion of (/ b1 (* a1 a2)) in a2 0.727 * [taylor]: Taking taylor expansion of (/ b1 (* a1 a2)) in b1 0.728 * [taylor]: Taking taylor expansion of (/ b1 (* a1 a2)) in a2 0.728 * [taylor]: Taking taylor expansion of (/ b1 (* a1 a2)) in a2 0.728 * [taylor]: Taking taylor expansion of (/ b1 (* a1 a2)) in a2 0.730 * [taylor]: Taking taylor expansion of (/ b1 (* a1 a2)) in b1 0.730 * [taylor]: Taking taylor expansion of (/ b1 (* a1 a2)) in a2 0.730 * [taylor]: Taking taylor expansion of (/ b1 (* a1 a2)) in a2 0.730 * [taylor]: Taking taylor expansion of (/ b1 (* a1 a2)) in a2 0.730 * [taylor]: Taking taylor expansion of (/ b1 (* a1 a2)) in a2 0.730 * [approximate]: Approximating (* -1 (/ b1 (* a1 a2))) in (a1 b1 a2) around 0 0.732 * [taylor]: Taking taylor expansion of (* -1 (/ b1 (* a1 a2))) in b1 0.732 * [taylor]: Taking taylor expansion of (* -1 (/ b1 (* a1 a2))) in a2 0.734 * [taylor]: Taking taylor expansion of (* -1 (/ b1 (* a1 a2))) in b1 0.734 * [taylor]: Taking taylor expansion of (* -1 (/ b1 (* a1 a2))) in a2 0.734 * [taylor]: Taking taylor expansion of (* -1 (/ b1 (* a1 a2))) in a2 0.737 * [taylor]: Taking taylor expansion of (* -1 (/ b1 (* a1 a2))) in b1 0.737 * [taylor]: Taking taylor expansion of (* -1 (/ b1 (* a1 a2))) in a2 0.737 * [taylor]: Taking taylor expansion of (* -1 (/ b1 (* a1 a2))) in a2 0.738 * [taylor]: Taking taylor expansion of (* -1 (/ b1 (* a1 a2))) in a2 0.744 * [taylor]: Taking taylor expansion of (* -1 (/ b1 (* a1 a2))) in b1 0.744 * [taylor]: Taking taylor expansion of (* -1 (/ b1 (* a1 a2))) in a2 0.744 * [taylor]: Taking taylor expansion of (* -1 (/ b1 (* a1 a2))) in a2 0.744 * [taylor]: Taking taylor expansion of (* -1 (/ b1 (* a1 a2))) in a2 0.745 * [taylor]: Taking taylor expansion of (* -1 (/ b1 (* a1 a2))) in a2 0.745 * * * [progress]: simplifying candidates 0.746 * [simplify]: Simplifying using # : (* (* (/ a1 b1) a2) (/ 1 b2)) (* (* (/ a1 b1) a2) (/ 1 b2)) (+ (+ (- (log a1) (log b1)) (log a2)) (neg (log b2))) (+ (+ (- (log a1) (log b1)) (log a2)) (- 0 (log b2))) (+ (+ (- (log a1) (log b1)) (log a2)) (- (log 1) (log b2))) (+ (+ (- (log a1) (log b1)) (log a2)) (log (/ 1 b2))) (+ (+ (log (/ a1 b1)) (log a2)) (neg (log b2))) (+ (+ (log (/ a1 b1)) (log a2)) (- 0 (log b2))) (+ (+ (log (/ a1 b1)) (log a2)) (- (log 1) (log b2))) (+ (+ (log (/ a1 b1)) (log a2)) (log (/ 1 b2))) (+ (log (* (/ a1 b1) a2)) (neg (log b2))) (+ (log (* (/ a1 b1) a2)) (- 0 (log b2))) (+ (log (* (/ a1 b1) a2)) (- (log 1) (log b2))) (+ (log (* (/ a1 b1) a2)) (log (/ 1 b2))) (log (* (* (/ a1 b1) a2) (/ 1 b2))) (exp (* (* (/ a1 b1) a2) (/ 1 b2))) (* (* (/ (* (* a1 a1) a1) (* (* b1 b1) b1)) (* (* a2 a2) a2)) (/ (* (* 1 1) 1) (* (* b2 b2) b2))) (* (* (/ (* (* a1 a1) a1) (* (* b1 b1) b1)) (* (* a2 a2) a2)) (* (* (/ 1 b2) (/ 1 b2)) (/ 1 b2))) (* (* (* (* (/ a1 b1) (/ a1 b1)) (/ a1 b1)) (* (* a2 a2) a2)) (/ (* (* 1 1) 1) (* (* b2 b2) b2))) (* (* (* (* (/ a1 b1) (/ a1 b1)) (/ a1 b1)) (* (* a2 a2) a2)) (* (* (/ 1 b2) (/ 1 b2)) (/ 1 b2))) (* (* (* (* (/ a1 b1) a2) (* (/ a1 b1) a2)) (* (/ a1 b1) a2)) (/ (* (* 1 1) 1) (* (* b2 b2) b2))) (* (* (* (* (/ a1 b1) a2) (* (/ a1 b1) a2)) (* (/ a1 b1) a2)) (* (* (/ 1 b2) (/ 1 b2)) (/ 1 b2))) (* (cbrt (* (* (/ a1 b1) a2) (/ 1 b2))) (cbrt (* (* (/ a1 b1) a2) (/ 1 b2)))) (cbrt (* (* (/ a1 b1) a2) (/ 1 b2))) (* (* (* (* (/ a1 b1) a2) (/ 1 b2)) (* (* (/ a1 b1) a2) (/ 1 b2))) (* (* (/ a1 b1) a2) (/ 1 b2))) (sqrt (* (* (/ a1 b1) a2) (/ 1 b2))) (sqrt (* (* (/ a1 b1) a2) (/ 1 b2))) (* (* a1 a2) 1) (* b1 b2) (* (* (/ a1 b1) a2) (* (cbrt (/ 1 b2)) (cbrt (/ 1 b2)))) (* (* (/ a1 b1) a2) (sqrt (/ 1 b2))) (* (* (/ a1 b1) a2) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt b2) (cbrt b2)))) (* (* (/ a1 b1) a2) (/ (* (cbrt 1) (cbrt 1)) (sqrt b2))) (* (* (/ a1 b1) a2) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (* (/ a1 b1) a2) (/ (sqrt 1) (* (cbrt b2) (cbrt b2)))) (* (* (/ a1 b1) a2) (/ (sqrt 1) (sqrt b2))) (* (* (/ a1 b1) a2) (/ (sqrt 1) 1)) (* (* (/ a1 b1) a2) (/ 1 (* (cbrt b2) (cbrt b2)))) (* (* (/ a1 b1) a2) (/ 1 (sqrt b2))) (* (* (/ a1 b1) a2) (/ 1 1)) (* (* (/ a1 b1) a2) 1) (* (* (/ a1 b1) a2) 1) (* a2 (/ 1 b2)) (* (* (/ a1 b1) a2) 1) (* (* a1 a2) (/ 1 b2)) (* (/ a1 b1) a2) (+ (- (log a1) (log b1)) (log a2)) (+ (log (/ a1 b1)) (log a2)) (log (* (/ a1 b1) a2)) (exp (* (/ a1 b1) a2)) (* (/ (* (* a1 a1) a1) (* (* b1 b1) b1)) (* (* a2 a2) a2)) (* (* (* (/ a1 b1) (/ a1 b1)) (/ a1 b1)) (* (* a2 a2) a2)) (* (cbrt (* (/ a1 b1) a2)) (cbrt (* (/ a1 b1) a2))) (cbrt (* (/ a1 b1) a2)) (* (* (* (/ a1 b1) a2) (* (/ a1 b1) a2)) (* (/ a1 b1) a2)) (sqrt (* (/ a1 b1) a2)) (sqrt (* (/ a1 b1) a2)) (* (sqrt (/ a1 b1)) (sqrt a2)) (* (sqrt (/ a1 b1)) (sqrt a2)) (* (/ (sqrt a1) (sqrt b1)) (sqrt a2)) (* (/ (sqrt a1) (sqrt b1)) (sqrt a2)) (* (/ a1 b1) (* (cbrt a2) (cbrt a2))) (* (/ a1 b1) (sqrt a2)) (* (/ a1 b1) 1) (* (cbrt (/ a1 b1)) a2) (* (sqrt (/ a1 b1)) a2) (* (/ (cbrt a1) (cbrt b1)) a2) (* (/ (cbrt a1) (sqrt b1)) a2) (* (/ (cbrt a1) b1) a2) (* (/ (sqrt a1) (cbrt b1)) a2) (* (/ (sqrt a1) (sqrt b1)) a2) (* (/ (sqrt a1) b1) a2) (* (/ a1 (cbrt b1)) a2) (* (/ a1 (sqrt b1)) a2) (* (/ a1 b1) a2) (* (/ a1 b1) a2) (* (/ 1 b1) a2) (* a1 a2) (/ (* a1 a2) (* b1 b2)) (/ (* a1 a2) (* b1 b2)) (/ (* a1 a2) (* b1 b2)) (/ (* a1 a2) b1) (/ (* a1 a2) b1) (/ (* a1 a2) b1) 0.751 * * [simplify]: iteration 0 : 402 enodes (cost 410 ) 0.759 * * [simplify]: iteration 1 : 2166 enodes (cost 322 ) 0.791 * * [simplify]: iteration 2 : 5001 enodes (cost 297 ) 0.793 * [simplify]: Simplified to: (/ (* a1 a2) (* b1 b2)) (/ (* a1 a2) (* b1 b2)) (log (/ (* a1 a2) (* b1 b2))) (log (/ (* a1 a2) (* b1 b2))) (log (/ (* a1 a2) (* b1 b2))) (log (/ (* a1 a2) (* b1 b2))) (log (/ (* a1 a2) (* b1 b2))) (log (/ (* a1 a2) (* b1 b2))) (log (/ (* a1 a2) (* b1 b2))) (log (/ (* a1 a2) (* b1 b2))) (log (/ (* a1 a2) (* b1 b2))) (log (/ (* a1 a2) (* b1 b2))) (log (/ (* a1 a2) (* b1 b2))) (log (/ (* a1 a2) (* b1 b2))) (log (/ (* a1 a2) (* b1 b2))) (pow (exp (/ a1 b1)) (/ a2 b2)) (pow (/ (* a1 a2) (* b1 b2)) 3) (pow (/ (* a1 a2) (* b1 b2)) 3) (pow (/ (* a1 a2) (* b1 b2)) 3) (pow (/ (* a1 a2) (* b1 b2)) 3) (pow (/ (* a1 a2) (* b1 b2)) 3) (pow (/ (* a1 a2) (* b1 b2)) 3) (* (cbrt (* (* (/ a1 b1) a2) (/ 1 b2))) (cbrt (* (* (/ a1 b1) a2) (/ 1 b2)))) (cbrt (* (* (/ a1 b1) a2) (/ 1 b2))) (pow (/ (* a1 a2) (* b1 b2)) 3) (sqrt (* (* (/ a1 b1) a2) (/ 1 b2))) (sqrt (* (* (/ a1 b1) a2) (/ 1 b2))) (* a1 a2) (* b1 b2) (* (* (/ a1 b1) a2) (* (cbrt (/ 1 b2)) (cbrt (/ 1 b2)))) (* (* (/ a1 b1) a2) (sqrt (/ 1 b2))) (/ (* (/ a1 b1) a2) (* (cbrt b2) (cbrt b2))) (/ (* (/ a1 b1) a2) (sqrt b2)) (* (/ a1 b1) a2) (/ (* (/ a1 b1) a2) (* (cbrt b2) (cbrt b2))) (/ (* (/ a1 b1) a2) (sqrt b2)) (* (/ a1 b1) a2) (/ (* (/ a1 b1) a2) (* (cbrt b2) (cbrt b2))) (/ (* (/ a1 b1) a2) (sqrt b2)) (* (/ a1 b1) a2) (* (/ a1 b1) a2) (* (/ a1 b1) a2) (/ a2 b2) (* (/ a1 b1) a2) (/ (* a1 a2) b2) (* (/ a1 b1) a2) (log (* (/ a1 b1) a2)) (log (* (/ a1 b1) a2)) (log (* (/ a1 b1) a2)) (exp (* (/ a1 b1) a2)) (pow (* (/ a1 b1) a2) 3) (pow (* (/ a1 b1) a2) 3) (* (cbrt (* (/ a1 b1) a2)) (cbrt (* (/ a1 b1) a2))) (cbrt (* (/ a1 b1) a2)) (pow (* (/ a1 b1) a2) 3) (sqrt (* (/ a1 b1) a2)) (sqrt (* (/ a1 b1) a2)) (* (sqrt (/ a1 b1)) (sqrt a2)) (* (sqrt (/ a1 b1)) (sqrt a2)) (* (/ (sqrt a1) (sqrt b1)) (sqrt a2)) (* (/ (sqrt a1) (sqrt b1)) (sqrt a2)) (* (/ a1 b1) (* (cbrt a2) (cbrt a2))) (* (/ a1 b1) (sqrt a2)) (/ a1 b1) (* (cbrt (/ a1 b1)) a2) (* (sqrt (/ a1 b1)) a2) (* (/ (cbrt a1) (cbrt b1)) a2) (* (/ (cbrt a1) (sqrt b1)) a2) (* (/ (cbrt a1) b1) a2) (* (/ (sqrt a1) (cbrt b1)) a2) (* (/ (sqrt a1) (sqrt b1)) a2) (* (/ (sqrt a1) b1) a2) (* (/ a1 (cbrt b1)) a2) (* (/ a1 (sqrt b1)) a2) (* (/ a1 b1) a2) (* (/ a1 b1) a2) (/ a2 b1) (* a1 a2) (/ (* a1 a2) (* b1 b2)) (/ (* a1 a2) (* b1 b2)) (/ (* a1 a2) (* b1 b2)) (* (/ a1 b1) a2) (* (/ a1 b1) a2) (* (/ a1 b1) a2) 0.793 * * * [progress]: adding candidates to table 0.945 * [progress]: [Phase 3 of 3] Extracting. 0.945 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 0.946 * * * [regime-changes]: Trying 7 branch expressions: ((* b1 b2) (* a1 a2) (/ (* a1 a2) (* b1 b2)) b2 b1 a2 a1) 0.946 * * * * [regimes]: Trying to branch on (* b1 b2) from (# # # # # # # # # # #) 1.058 * * * * [regimes]: Trying to branch on (* b1 b2) from (# #) 1.114 * * * * [regimes]: Trying to branch on (* a1 a2) from (# # # # # # # # # # #) 1.224 * * * * [regimes]: Trying to branch on (* a1 a2) from (# #) 1.271 * * * * [regimes]: Trying to branch on (/ (* a1 a2) (* b1 b2)) from (# # # # # # # # # # #) 1.380 * * * * [regimes]: Trying to branch on b2 from (# # # # # # # # # # #) 1.491 * * * * [regimes]: Trying to branch on b1 from (# # # # # # # # # # #) 1.627 * * * * [regimes]: Trying to branch on a2 from (# # # # # # # # # # #) 1.728 * * * * [regimes]: Trying to branch on a1 from (# # # # # # # # # # #) 1.844 * * * [regime]: Found split indices: #