13.604 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (+ (* x y) (* (- x 1.0) z)) 0.022 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.023 * * [simplify]: iteration 1 : 24 enodes (cost 3 ) 0.024 * * [simplify]: iteration 2 : 40 enodes (cost 3 ) 0.026 * * [simplify]: iteration 3 : 66 enodes (cost 3 ) 0.027 * * [simplify]: iteration 4 : 86 enodes (cost 3 ) 0.029 * * [simplify]: iteration 5 : 97 enodes (cost 3 ) 0.031 * * [simplify]: iteration 6 : 118 enodes (cost 3 ) 0.033 * * [simplify]: iteration 7 : 159 enodes (cost 3 ) 0.036 * * [simplify]: iteration 8 : 244 enodes (cost 3 ) 0.039 * * [simplify]: iteration 9 : 442 enodes (cost 3 ) 0.042 * * [simplify]: iteration 10 : 626 enodes (cost 3 ) 0.046 * * [simplify]: iteration 11 : 691 enodes (cost 3 ) 0.050 * * [simplify]: iteration 12 : 738 enodes (cost 3 ) 0.054 * * [simplify]: iteration 13 : 765 enodes (cost 3 ) 0.058 * * [simplify]: iteration 14 : 765 enodes (cost 3 ) 0.058 * [simplify]: Simplified to: (fma x y (* (- x 1.0) z)) 0.064 * * [progress]: iteration 1 / 4 0.064 * * * [progress]: picking best candidate 0.066 * * * * [pick]: Picked # 0.066 * * * [progress]: localizing error 0.071 * * * [progress]: generating rewritten candidates 0.071 * * * * [progress]: [ 1 / 1 ] rewriting at (2 3) 0.078 * * * [progress]: generating series expansions 0.078 * * * * [progress]: [ 1 / 1 ] generating series at (2 3) 0.079 * [approximate]: Taking taylor expansion of (* (- x 1.0) z) in (x z) around 0 0.079 * [taylor]: Taking taylor expansion of (* (- x 1.0) z) in z 0.079 * [taylor]: Taking taylor expansion of (- x 1.0) in z 0.079 * [taylor]: Taking taylor expansion of x in z 0.079 * [taylor]: Taking taylor expansion of 1.0 in z 0.079 * [taylor]: Taking taylor expansion of z in z 0.079 * [taylor]: Taking taylor expansion of (* (- x 1.0) z) in x 0.079 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [taylor]: Taking taylor expansion of z in x 0.079 * [taylor]: Taking taylor expansion of (* (- x 1.0) z) in x 0.079 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [taylor]: Taking taylor expansion of z in x 0.081 * [taylor]: Taking taylor expansion of (* -1.0 z) in z 0.081 * [taylor]: Taking taylor expansion of -1.0 in z 0.081 * [taylor]: Taking taylor expansion of z in z 0.082 * [taylor]: Taking taylor expansion of z in z 0.084 * [taylor]: Taking taylor expansion of 0 in z 0.086 * [taylor]: Taking taylor expansion of 0 in z 0.088 * [taylor]: Taking taylor expansion of 0 in z 0.088 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) z) in (x z) around 0 0.088 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) z) in z 0.088 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in z 0.088 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.088 * [taylor]: Taking taylor expansion of x in z 0.088 * [taylor]: Taking taylor expansion of 1.0 in z 0.088 * [taylor]: Taking taylor expansion of z in z 0.089 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) z) in x 0.089 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of 1.0 in x 0.089 * [taylor]: Taking taylor expansion of z in x 0.089 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) z) in x 0.090 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of 1.0 in x 0.090 * [taylor]: Taking taylor expansion of z in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.090 * [taylor]: Taking taylor expansion of z in z 0.092 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 z))) in z 0.092 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 z)) in z 0.092 * [taylor]: Taking taylor expansion of 1.0 in z 0.092 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.092 * [taylor]: Taking taylor expansion of z in z 0.094 * [taylor]: Taking taylor expansion of 0 in z 0.097 * [taylor]: Taking taylor expansion of 0 in z 0.099 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) z) in (x z) around 0 0.099 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) z) in z 0.099 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in z 0.099 * [taylor]: Taking taylor expansion of 1.0 in z 0.099 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.099 * [taylor]: Taking taylor expansion of x in z 0.099 * [taylor]: Taking taylor expansion of z in z 0.099 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) z) in x 0.099 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.099 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of z in x 0.100 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) z) in x 0.100 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.100 * [taylor]: Taking taylor expansion of 1.0 in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of z in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.101 * [taylor]: Taking taylor expansion of z in z 0.102 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 z)) in z 0.102 * [taylor]: Taking taylor expansion of 1.0 in z 0.102 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.102 * [taylor]: Taking taylor expansion of z in z 0.103 * [taylor]: Taking taylor expansion of 0 in z 0.106 * [taylor]: Taking taylor expansion of 0 in z 0.107 * * * [progress]: simplifying candidates 0.108 * [simplify]: Simplifying using # : (expm1 (* (- x 1.0) z)) (log1p (* (- x 1.0) z)) (* (- x 1.0) z) (+ (log (- x 1.0)) (log z)) (log (* (- x 1.0) z)) (exp (* (- x 1.0) z)) (* (* (* (- x 1.0) (- x 1.0)) (- x 1.0)) (* (* z z) z)) (* (cbrt (* (- x 1.0) z)) (cbrt (* (- x 1.0) z))) (cbrt (* (- x 1.0) z)) (* (* (* (- x 1.0) z) (* (- x 1.0) z)) (* (- x 1.0) z)) (sqrt (* (- x 1.0) z)) (sqrt (* (- x 1.0) z)) (* (sqrt (- x 1.0)) (sqrt z)) (* (sqrt (- x 1.0)) (sqrt z)) (* (- x 1.0) (* (cbrt z) (cbrt z))) (* (- x 1.0) (sqrt z)) (* (- x 1.0) 1) (* (cbrt (- x 1.0)) z) (* (sqrt (- x 1.0)) z) (* (- x 1.0) z) (* (- (sqrt x) (sqrt 1.0)) z) (* (- x 1.0) z) (* (- (pow x 3) (pow 1.0 3)) z) (* (- (* x x) (* 1.0 1.0)) z) (- (* x z) (* 1.0 z)) (- (* x z) (* 1.0 z)) (- (* x z) (* 1.0 z)) 0.111 * * [simplify]: iteration 0 : 109 enodes (cost 94 ) 0.113 * * [simplify]: iteration 1 : 403 enodes (cost 84 ) 0.122 * * [simplify]: iteration 2 : 1935 enodes (cost 84 ) 0.148 * * [simplify]: iteration 3 : 5001 enodes (cost 84 ) 0.149 * [simplify]: Simplified to: (expm1 (* (- x 1.0) z)) (log1p (* (- x 1.0) z)) (* z (- x 1.0)) (log (* (- x 1.0) z)) (log (* (- x 1.0) z)) (exp (* (- x 1.0) z)) (pow (* z (- x 1.0)) 3) (* (cbrt (* (- x 1.0) z)) (cbrt (* (- x 1.0) z))) (cbrt (* (- x 1.0) z)) (pow (* z (- x 1.0)) 3) (sqrt (* (- x 1.0) z)) (sqrt (* (- x 1.0) z)) (* (sqrt (- x 1.0)) (sqrt z)) (* (sqrt (- x 1.0)) (sqrt z)) (* (- x 1.0) (* (cbrt z) (cbrt z))) (* (- x 1.0) (sqrt z)) (- x 1.0) (* (cbrt (- x 1.0)) z) (* (sqrt (- x 1.0)) z) (* z (- x 1.0)) (* (- (sqrt x) (sqrt 1.0)) z) (* z (- x 1.0)) (* (- (pow x 3) (pow 1.0 3)) z) (* (- (* x x) (* 1.0 1.0)) z) (* z (- x 1.0)) (* z (- x 1.0)) (* z (- x 1.0)) 0.149 * * * [progress]: adding candidates to table 0.193 * * [progress]: iteration 2 / 4 0.194 * * * [progress]: picking best candidate 0.195 * * * * [pick]: Picked # 0.195 * * * [progress]: localizing error 0.205 * * * [progress]: generating rewritten candidates 0.205 * * * * [progress]: [ 1 / 2 ] rewriting at (2 3) 0.214 * * * * [progress]: [ 2 / 2 ] rewriting at (2 3 1) 0.221 * * * [progress]: generating series expansions 0.221 * * * * [progress]: [ 1 / 2 ] generating series at (2 3) 0.221 * [approximate]: Taking taylor expansion of (/ (* (- (pow x 2) 1.0) z) (+ x 1.0)) in (x z) around 0 0.222 * [taylor]: Taking taylor expansion of (/ (* (- (pow x 2) 1.0) z) (+ x 1.0)) in z 0.222 * [taylor]: Taking taylor expansion of (* (- (pow x 2) 1.0) z) in z 0.222 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in z 0.222 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.222 * [taylor]: Taking taylor expansion of x in z 0.222 * [taylor]: Taking taylor expansion of 1.0 in z 0.222 * [taylor]: Taking taylor expansion of z in z 0.222 * [taylor]: Taking taylor expansion of (+ x 1.0) in z 0.222 * [taylor]: Taking taylor expansion of x in z 0.222 * [taylor]: Taking taylor expansion of 1.0 in z 0.223 * [taylor]: Taking taylor expansion of (/ (* (- (pow x 2) 1.0) z) (+ x 1.0)) in x 0.223 * [taylor]: Taking taylor expansion of (* (- (pow x 2) 1.0) z) in x 0.223 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.223 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of 1.0 in x 0.223 * [taylor]: Taking taylor expansion of z in x 0.223 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of 1.0 in x 0.225 * [taylor]: Taking taylor expansion of (/ (* (- (pow x 2) 1.0) z) (+ x 1.0)) in x 0.225 * [taylor]: Taking taylor expansion of (* (- (pow x 2) 1.0) z) in x 0.225 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.225 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of 1.0 in x 0.225 * [taylor]: Taking taylor expansion of z in x 0.225 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of 1.0 in x 0.226 * [taylor]: Taking taylor expansion of (* -1.0 z) in z 0.226 * [taylor]: Taking taylor expansion of -1.0 in z 0.226 * [taylor]: Taking taylor expansion of z in z 0.229 * [taylor]: Taking taylor expansion of (* 1.0 z) in z 0.229 * [taylor]: Taking taylor expansion of 1.0 in z 0.229 * [taylor]: Taking taylor expansion of z in z 0.232 * [taylor]: Taking taylor expansion of 0 in z 0.236 * [taylor]: Taking taylor expansion of 0 in z 0.237 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) 1.0) (* z (+ 1.0 (/ 1 x)))) in (x z) around 0 0.237 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) 1.0) (* z (+ 1.0 (/ 1 x)))) in z 0.237 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in z 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.237 * [taylor]: Taking taylor expansion of x in z 0.237 * [taylor]: Taking taylor expansion of 1.0 in z 0.237 * [taylor]: Taking taylor expansion of (* z (+ 1.0 (/ 1 x))) in z 0.237 * [taylor]: Taking taylor expansion of z in z 0.237 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in z 0.237 * [taylor]: Taking taylor expansion of 1.0 in z 0.237 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.237 * [taylor]: Taking taylor expansion of x in z 0.239 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) 1.0) (* z (+ 1.0 (/ 1 x)))) in x 0.239 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of 1.0 in x 0.239 * [taylor]: Taking taylor expansion of (* z (+ 1.0 (/ 1 x))) in x 0.239 * [taylor]: Taking taylor expansion of z in x 0.239 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.239 * [taylor]: Taking taylor expansion of 1.0 in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) 1.0) (* z (+ 1.0 (/ 1 x)))) in x 0.240 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.240 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of 1.0 in x 0.241 * [taylor]: Taking taylor expansion of (* z (+ 1.0 (/ 1 x))) in x 0.241 * [taylor]: Taking taylor expansion of z in x 0.241 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.241 * [taylor]: Taking taylor expansion of 1.0 in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.242 * [taylor]: Taking taylor expansion of z in z 0.244 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 z))) in z 0.244 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 z)) in z 0.244 * [taylor]: Taking taylor expansion of 1.0 in z 0.244 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.244 * [taylor]: Taking taylor expansion of z in z 0.249 * [taylor]: Taking taylor expansion of 0 in z 0.255 * [taylor]: Taking taylor expansion of 0 in z 0.258 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) 1.0) (* (- 1.0 (/ 1 x)) z))) in (x z) around 0 0.258 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) 1.0) (* (- 1.0 (/ 1 x)) z))) in z 0.258 * [taylor]: Taking taylor expansion of -1 in z 0.258 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) 1.0) (* (- 1.0 (/ 1 x)) z)) in z 0.258 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in z 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.258 * [taylor]: Taking taylor expansion of x in z 0.258 * [taylor]: Taking taylor expansion of 1.0 in z 0.258 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) z) in z 0.258 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in z 0.258 * [taylor]: Taking taylor expansion of 1.0 in z 0.258 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.258 * [taylor]: Taking taylor expansion of x in z 0.258 * [taylor]: Taking taylor expansion of z in z 0.260 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) 1.0) (* (- 1.0 (/ 1 x)) z))) in x 0.260 * [taylor]: Taking taylor expansion of -1 in x 0.260 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) 1.0) (* (- 1.0 (/ 1 x)) z)) in x 0.260 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of 1.0 in x 0.261 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) z) in x 0.261 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.261 * [taylor]: Taking taylor expansion of 1.0 in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of z in x 0.262 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) 1.0) (* (- 1.0 (/ 1 x)) z))) in x 0.262 * [taylor]: Taking taylor expansion of -1 in x 0.262 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) 1.0) (* (- 1.0 (/ 1 x)) z)) in x 0.262 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.262 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of 1.0 in x 0.262 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) z) in x 0.262 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.262 * [taylor]: Taking taylor expansion of 1.0 in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of z in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.264 * [taylor]: Taking taylor expansion of z in z 0.266 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 z)) in z 0.266 * [taylor]: Taking taylor expansion of 1.0 in z 0.266 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.266 * [taylor]: Taking taylor expansion of z in z 0.271 * [taylor]: Taking taylor expansion of 0 in z 0.276 * [taylor]: Taking taylor expansion of 0 in z 0.278 * * * * [progress]: [ 2 / 2 ] generating series at (2 3 1) 0.278 * [approximate]: Taking taylor expansion of (* (- (pow x 2) 1.0) z) in (x z) around 0 0.278 * [taylor]: Taking taylor expansion of (* (- (pow x 2) 1.0) z) in z 0.278 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in z 0.278 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.278 * [taylor]: Taking taylor expansion of x in z 0.278 * [taylor]: Taking taylor expansion of 1.0 in z 0.278 * [taylor]: Taking taylor expansion of z in z 0.278 * [taylor]: Taking taylor expansion of (* (- (pow x 2) 1.0) z) in x 0.278 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of 1.0 in x 0.278 * [taylor]: Taking taylor expansion of z in x 0.278 * [taylor]: Taking taylor expansion of (* (- (pow x 2) 1.0) z) in x 0.278 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of 1.0 in x 0.278 * [taylor]: Taking taylor expansion of z in x 0.279 * [taylor]: Taking taylor expansion of (* -1.0 z) in z 0.279 * [taylor]: Taking taylor expansion of -1.0 in z 0.279 * [taylor]: Taking taylor expansion of z in z 0.280 * [taylor]: Taking taylor expansion of 0 in z 0.283 * [taylor]: Taking taylor expansion of z in z 0.285 * [taylor]: Taking taylor expansion of 0 in z 0.287 * [taylor]: Taking taylor expansion of 0 in z 0.288 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) 1.0) z) in (x z) around 0 0.288 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) 1.0) z) in z 0.288 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in z 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.288 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.288 * [taylor]: Taking taylor expansion of x in z 0.288 * [taylor]: Taking taylor expansion of 1.0 in z 0.288 * [taylor]: Taking taylor expansion of z in z 0.289 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) 1.0) z) in x 0.289 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of 1.0 in x 0.290 * [taylor]: Taking taylor expansion of z in x 0.290 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) 1.0) z) in x 0.290 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of 1.0 in x 0.290 * [taylor]: Taking taylor expansion of z in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.291 * [taylor]: Taking taylor expansion of z in z 0.292 * [taylor]: Taking taylor expansion of 0 in z 0.295 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 z))) in z 0.295 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 z)) in z 0.295 * [taylor]: Taking taylor expansion of 1.0 in z 0.295 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.295 * [taylor]: Taking taylor expansion of z in z 0.298 * [taylor]: Taking taylor expansion of 0 in z 0.301 * [taylor]: Taking taylor expansion of 0 in z 0.302 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) 1.0) z)) in (x z) around 0 0.302 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) 1.0) z)) in z 0.302 * [taylor]: Taking taylor expansion of -1 in z 0.302 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) 1.0) z) in z 0.302 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in z 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.302 * [taylor]: Taking taylor expansion of x in z 0.302 * [taylor]: Taking taylor expansion of 1.0 in z 0.302 * [taylor]: Taking taylor expansion of z in z 0.303 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) 1.0) z)) in x 0.303 * [taylor]: Taking taylor expansion of -1 in x 0.303 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) 1.0) z) in x 0.303 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of 1.0 in x 0.303 * [taylor]: Taking taylor expansion of z in x 0.304 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) 1.0) z)) in x 0.304 * [taylor]: Taking taylor expansion of -1 in x 0.304 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) 1.0) z) in x 0.304 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.304 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of 1.0 in x 0.304 * [taylor]: Taking taylor expansion of z in x 0.305 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.305 * [taylor]: Taking taylor expansion of -1 in z 0.305 * [taylor]: Taking taylor expansion of z in z 0.306 * [taylor]: Taking taylor expansion of 0 in z 0.309 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 z)) in z 0.309 * [taylor]: Taking taylor expansion of 1.0 in z 0.309 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.309 * [taylor]: Taking taylor expansion of z in z 0.312 * [taylor]: Taking taylor expansion of 0 in z 0.316 * [taylor]: Taking taylor expansion of 0 in z 0.317 * * * [progress]: simplifying candidates 0.317 * [simplify]: Simplifying using # : (expm1 (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))) (log1p (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))) (- (+ (log (- (* x x) (* 1.0 1.0))) (log z)) (log (+ x 1.0))) (- (log (* (- (* x x) (* 1.0 1.0)) z)) (log (+ x 1.0))) (log (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))) (exp (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))) (/ (* (* (* (- (* x x) (* 1.0 1.0)) (- (* x x) (* 1.0 1.0))) (- (* x x) (* 1.0 1.0))) (* (* z z) z)) (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0))) (/ (* (* (* (- (* x x) (* 1.0 1.0)) z) (* (- (* x x) (* 1.0 1.0)) z)) (* (- (* x x) (* 1.0 1.0)) z)) (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0))) (* (cbrt (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))) (cbrt (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))) (cbrt (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))) (* (* (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))) (sqrt (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))) (sqrt (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))) (- (* (- (* x x) (* 1.0 1.0)) z)) (- (+ x 1.0)) (/ (- (* x x) (* 1.0 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ z (cbrt (+ x 1.0))) (/ (- (* x x) (* 1.0 1.0)) (sqrt (+ x 1.0))) (/ z (sqrt (+ x 1.0))) (/ (- (* x x) (* 1.0 1.0)) 1) (/ z (+ x 1.0)) (/ (- (* x x) (* 1.0 1.0)) 1) (/ z (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) (* (- (* x x) (* 1.0 1.0)) z)) (/ (* (- (* x x) (* 1.0 1.0)) z) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (* (- (* x x) (* 1.0 1.0)) z) (sqrt (+ x 1.0))) (/ (* (- (* x x) (* 1.0 1.0)) z) 1) (/ (* (- (* x x) (* 1.0 1.0)) z) 1) (/ (+ x 1.0) z) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ (pow x 3) (pow 1.0 3))) (/ (* (- (* x x) (* 1.0 1.0)) z) (- (* x x) (* 1.0 1.0))) (* (+ x 1.0) (+ (* (* x x) (* x x)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* x x) (* 1.0 1.0))))) (* (+ x 1.0) (+ (* x x) (* 1.0 1.0))) (expm1 (* (- (* x x) (* 1.0 1.0)) z)) (log1p (* (- (* x x) (* 1.0 1.0)) z)) (* (- (* x x) (* 1.0 1.0)) z) (+ (log (- (* x x) (* 1.0 1.0))) (log z)) (log (* (- (* x x) (* 1.0 1.0)) z)) (exp (* (- (* x x) (* 1.0 1.0)) z)) (* (* (* (- (* x x) (* 1.0 1.0)) (- (* x x) (* 1.0 1.0))) (- (* x x) (* 1.0 1.0))) (* (* z z) z)) (* (cbrt (* (- (* x x) (* 1.0 1.0)) z)) (cbrt (* (- (* x x) (* 1.0 1.0)) z))) (cbrt (* (- (* x x) (* 1.0 1.0)) z)) (* (* (* (- (* x x) (* 1.0 1.0)) z) (* (- (* x x) (* 1.0 1.0)) z)) (* (- (* x x) (* 1.0 1.0)) z)) (sqrt (* (- (* x x) (* 1.0 1.0)) z)) (sqrt (* (- (* x x) (* 1.0 1.0)) z)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt z)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt z)) (* (- (* x x) (* 1.0 1.0)) (* (cbrt z) (cbrt z))) (* (- (* x x) (* 1.0 1.0)) (sqrt z)) (* (- (* x x) (* 1.0 1.0)) 1) (* (cbrt (- (* x x) (* 1.0 1.0))) z) (* (sqrt (- (* x x) (* 1.0 1.0))) z) (* (- (* x x) (* 1.0 1.0)) z) (* (- x 1.0) z) (* (- (pow (* x x) 3) (pow (* 1.0 1.0) 3)) z) (* (- (* (* x x) (* x x)) (* (* 1.0 1.0) (* 1.0 1.0))) z) (- (* 1.0 (* x z)) (* 1.0 z)) (- (* x z) (* 1.0 z)) (- (* x z) (* 1.0 z)) (- (* (pow x 2) z) (* 1.0 z)) (- (* (pow x 2) z) (* 1.0 z)) (- (* (pow x 2) z) (* 1.0 z)) 0.322 * * [simplify]: iteration 0 : 295 enodes (cost 397 ) 0.328 * * [simplify]: iteration 1 : 1428 enodes (cost 340 ) 0.358 * * [simplify]: iteration 2 : 5002 enodes (cost 329 ) 0.360 * [simplify]: Simplified to: (expm1 (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))) (log1p (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))) (log (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))) (log (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))) (log (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))) (exp (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))) (pow (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)) 3) (pow (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)) 3) (* (cbrt (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))) (cbrt (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))) (cbrt (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))) (pow (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)) 3) (sqrt (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))) (sqrt (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))) (- (* (- (* x x) (* 1.0 1.0)) z)) (- (+ x 1.0)) (/ (- (* x x) (* 1.0 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ z (cbrt (+ x 1.0))) (/ (- (* x x) (* 1.0 1.0)) (sqrt (+ x 1.0))) (/ z (sqrt (+ x 1.0))) (- (* x x) (* 1.0 1.0)) (/ z (+ x 1.0)) (- (* x x) (* 1.0 1.0)) (/ z (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) (* (- (* x x) (* 1.0 1.0)) z)) (/ (* (- (* x x) (* 1.0 1.0)) z) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (* (- (* x x) (* 1.0 1.0)) z) (sqrt (+ x 1.0))) (* (- (* x x) (* 1.0 1.0)) z) (* (- (* x x) (* 1.0 1.0)) z) (/ (+ x 1.0) z) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ (pow x 3) (pow 1.0 3))) z (fma (pow x 4) (+ x 1.0) (* (* (+ x 1.0) (* 1.0 1.0)) (fma x x (* 1.0 1.0)))) (* (fma x x (* 1.0 1.0)) (+ x 1.0)) (expm1 (* (- (* x x) (* 1.0 1.0)) z)) (log1p (* (- (* x x) (* 1.0 1.0)) z)) (* (- (* x x) (* 1.0 1.0)) z) (log (* (- (* x x) (* 1.0 1.0)) z)) (log (* (- (* x x) (* 1.0 1.0)) z)) (exp (* (- (* x x) (* 1.0 1.0)) z)) (pow (* (- (* x x) (* 1.0 1.0)) z) 3) (* (cbrt (* (- (* x x) (* 1.0 1.0)) z)) (cbrt (* (- (* x x) (* 1.0 1.0)) z))) (cbrt (* (- (* x x) (* 1.0 1.0)) z)) (pow (* (- (* x x) (* 1.0 1.0)) z) 3) (sqrt (* (- (* x x) (* 1.0 1.0)) z)) (sqrt (* (- (* x x) (* 1.0 1.0)) z)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt z)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt z)) (* (- (* x x) (* 1.0 1.0)) (* (cbrt z) (cbrt z))) (* (- (* x x) (* 1.0 1.0)) (sqrt z)) (- (* x x) (* 1.0 1.0)) (* (cbrt (- (* x x) (* 1.0 1.0))) z) (* (sqrt (- (* x x) (* 1.0 1.0))) z) (* (- (* x x) (* 1.0 1.0)) z) (* z (- x 1.0)) (* (- (pow (* x x) 3) (pow (* 1.0 1.0) 3)) z) (fma z (pow x 4) (* z (* (- (pow 1.0 3)) 1.0))) (* 1.0 (- (* x z) z)) (* z (- x 1.0)) (* z (- x 1.0)) (* z (- (pow x 2) 1.0)) (* z (- (pow x 2) 1.0)) (* z (- (pow x 2) 1.0)) 0.360 * * * [progress]: adding candidates to table 0.464 * [progress]: [Phase 3 of 3] Extracting. 0.464 * * [regime]: Finding splitpoints for: (# #) 0.464 * * * [regime-changes]: Trying 3 branch expressions: (z y x) 0.464 * * * * [regimes]: Trying to branch on z from (# #) 0.476 * * * * [regimes]: Trying to branch on y from (# #) 0.490 * * * * [regimes]: Trying to branch on x from (# #) 0.502 * * * [regime]: Found split indices: #