16.519 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (* x (+ y 1.0)) 0.025 * * [simplify]: iteration 0 : 13 enodes (cost 2 ) 0.028 * * [simplify]: iteration 1 : 17 enodes (cost 2 ) 0.030 * * [simplify]: iteration 2 : 20 enodes (cost 2 ) 0.033 * * [simplify]: iteration 3 : 20 enodes (cost 2 ) 0.033 * [simplify]: Simplified to: (* x (+ y 1.0)) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.039 * * * [progress]: generating rewritten candidates 0.039 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.050 * * * [progress]: generating series expansions 0.050 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.050 * [approximate]: Taking taylor expansion of (* x (+ y 1.0)) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (* x (+ y 1.0)) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 1.0 in y 0.050 * [taylor]: Taking taylor expansion of (* x (+ y 1.0)) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of 1.0 in x 0.050 * [taylor]: Taking taylor expansion of (* x (+ y 1.0)) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of 1.0 in x 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of 1.0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in (x y) around 0 0.057 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in y 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of 1.0 in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of 1.0 in y 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 y)) x)) in (x y) around 0 0.068 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 y)) x)) in y 0.068 * [taylor]: Taking taylor expansion of -1 in y 0.068 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in y 0.068 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.068 * [taylor]: Taking taylor expansion of 1.0 in y 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of x in y 0.069 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 y)) x)) in x 0.069 * [taylor]: Taking taylor expansion of -1 in x 0.069 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in x 0.069 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.069 * [taylor]: Taking taylor expansion of y in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 y)) x)) in x 0.070 * [taylor]: Taking taylor expansion of -1 in x 0.070 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in x 0.070 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.070 * [taylor]: Taking taylor expansion of 1.0 in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of (* -1 (- 1.0 (/ 1 y))) in y 0.070 * [taylor]: Taking taylor expansion of -1 in y 0.070 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.070 * [taylor]: Taking taylor expansion of 1.0 in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.089 * * * [progress]: simplifying candidates 0.089 * [simplify]: Simplifying using # : (expm1 (* x (+ y 1.0))) (log1p (* x (+ y 1.0))) (* x (+ y 1.0)) (+ (log x) (log (+ y 1.0))) (log (* x (+ y 1.0))) (exp (* x (+ y 1.0))) (* (* (* x x) x) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (* (cbrt (* x (+ y 1.0))) (cbrt (* x (+ y 1.0)))) (cbrt (* x (+ y 1.0))) (* (* (* x (+ y 1.0)) (* x (+ y 1.0))) (* x (+ y 1.0))) (sqrt (* x (+ y 1.0))) (sqrt (* x (+ y 1.0))) (* (sqrt x) (sqrt (+ y 1.0))) (* (sqrt x) (sqrt (+ y 1.0))) (* x y) (* x 1.0) (* y x) (* 1.0 x) (* x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (* x (sqrt (+ y 1.0))) (* x 1) (* x 1) (* (cbrt x) (+ y 1.0)) (* (sqrt x) (+ y 1.0)) (* x (+ y 1.0)) (* x (+ (pow y 3) (pow 1.0 3))) (* x (- (* y y) (* 1.0 1.0))) (+ (* 1.0 x) (* x y)) (+ (* 1.0 x) (* x y)) (+ (* 1.0 x) (* x y)) 0.093 * * [simplify]: iteration 0 : 130 enodes (cost 92 ) 0.099 * * [simplify]: iteration 1 : 559 enodes (cost 82 ) 0.111 * * [simplify]: iteration 2 : 2263 enodes (cost 82 ) 0.148 * * [simplify]: iteration 3 : 5001 enodes (cost 82 ) 0.149 * [simplify]: Simplified to: (expm1 (* x (+ y 1.0))) (log1p (* x (+ y 1.0))) (* x (+ y 1.0)) (log (* x (+ y 1.0))) (log (* x (+ y 1.0))) (exp (* x (+ y 1.0))) (pow (* x (+ y 1.0)) 3) (* (cbrt (* x (+ y 1.0))) (cbrt (* x (+ y 1.0)))) (cbrt (* x (+ y 1.0))) (pow (* x (+ y 1.0)) 3) (sqrt (* x (+ y 1.0))) (sqrt (* x (+ y 1.0))) (* (sqrt x) (sqrt (+ y 1.0))) (* (sqrt x) (sqrt (+ y 1.0))) (* x y) (* x 1.0) (* x y) (* x 1.0) (* x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (* x (sqrt (+ y 1.0))) x x (* (cbrt x) (+ y 1.0)) (* (sqrt x) (+ y 1.0)) (* x (+ y 1.0)) (* x (+ (pow y 3) (pow 1.0 3))) (* x (- (* y y) (* 1.0 1.0))) (* x (+ y 1.0)) (* x (+ y 1.0)) (* x (+ y 1.0)) 0.149 * * * [progress]: adding candidates to table 0.198 * * [progress]: iteration 2 / 4 0.198 * * * [progress]: picking best candidate 0.200 * * * * [pick]: Picked # 0.200 * * * [progress]: localizing error 0.208 * * * [progress]: generating rewritten candidates 0.209 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.220 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.231 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 0.240 * * * [progress]: generating series expansions 0.240 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.241 * [approximate]: Taking taylor expansion of (/ (* x (- (pow y 2) 1.0)) (- y 1.0)) in (x y) around 0 0.241 * [taylor]: Taking taylor expansion of (/ (* x (- (pow y 2) 1.0)) (- y 1.0)) in y 0.241 * [taylor]: Taking taylor expansion of (* x (- (pow y 2) 1.0)) in y 0.241 * [taylor]: Taking taylor expansion of x in y 0.241 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.241 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of 1.0 in y 0.241 * [taylor]: Taking taylor expansion of (- y 1.0) in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of 1.0 in y 0.243 * [taylor]: Taking taylor expansion of (/ (* x (- (pow y 2) 1.0)) (- y 1.0)) in x 0.243 * [taylor]: Taking taylor expansion of (* x (- (pow y 2) 1.0)) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in x 0.244 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of 1.0 in x 0.244 * [taylor]: Taking taylor expansion of (- y 1.0) in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of 1.0 in x 0.246 * [taylor]: Taking taylor expansion of (/ (* x (- (pow y 2) 1.0)) (- y 1.0)) in x 0.246 * [taylor]: Taking taylor expansion of (* x (- (pow y 2) 1.0)) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in x 0.246 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.246 * [taylor]: Taking taylor expansion of 1.0 in x 0.246 * [taylor]: Taking taylor expansion of (- y 1.0) in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.246 * [taylor]: Taking taylor expansion of 1.0 in x 0.249 * [taylor]: Taking taylor expansion of (/ (- (pow y 2) 1.0) (- y 1.0)) in y 0.249 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.249 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of 1.0 in y 0.249 * [taylor]: Taking taylor expansion of (- y 1.0) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.250 * [taylor]: Taking taylor expansion of 1.0 in y 0.254 * [taylor]: Taking taylor expansion of 0 in y 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.269 * [taylor]: Taking taylor expansion of 0 in y 0.269 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) 1.0) (* x (- (/ 1 y) 1.0))) in (x y) around 0 0.269 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) 1.0) (* x (- (/ 1 y) 1.0))) in y 0.269 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.269 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of 1.0 in y 0.270 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) 1.0)) in y 0.270 * [taylor]: Taking taylor expansion of x in y 0.270 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1.0) in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of 1.0 in y 0.271 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) 1.0) (* x (- (/ 1 y) 1.0))) in x 0.271 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of 1.0 in x 0.271 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) 1.0)) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1.0) in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of 1.0 in x 0.274 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) 1.0) (* x (- (/ 1 y) 1.0))) in x 0.274 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of 1.0 in x 0.274 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) 1.0)) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1.0) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of 1.0 in x 0.277 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) 1.0) (- (/ 1 y) 1.0)) in y 0.277 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.278 * [taylor]: Taking taylor expansion of 1.0 in y 0.278 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1.0) in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.278 * [taylor]: Taking taylor expansion of 1.0 in y 0.281 * [taylor]: Taking taylor expansion of 0 in y 0.289 * [taylor]: Taking taylor expansion of 0 in y 0.299 * [taylor]: Taking taylor expansion of 0 in y 0.307 * [taylor]: Taking taylor expansion of 0 in y 0.308 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) 1.0) (* x (+ (/ 1 y) 1.0))) in (x y) around 0 0.308 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) 1.0) (* x (+ (/ 1 y) 1.0))) in y 0.308 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of 1.0 in y 0.309 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) 1.0)) in y 0.309 * [taylor]: Taking taylor expansion of x in y 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.309 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of 1.0 in y 0.310 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) 1.0) (* x (+ (/ 1 y) 1.0))) in x 0.310 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.310 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.310 * [taylor]: Taking taylor expansion of y in x 0.310 * [taylor]: Taking taylor expansion of 1.0 in x 0.310 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) 1.0)) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.310 * [taylor]: Taking taylor expansion of y in x 0.310 * [taylor]: Taking taylor expansion of 1.0 in x 0.312 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) 1.0) (* x (+ (/ 1 y) 1.0))) in x 0.312 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.312 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.312 * [taylor]: Taking taylor expansion of y in x 0.312 * [taylor]: Taking taylor expansion of 1.0 in x 0.312 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) 1.0)) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.312 * [taylor]: Taking taylor expansion of y in x 0.312 * [taylor]: Taking taylor expansion of 1.0 in x 0.314 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) 1.0) (+ (/ 1 y) 1.0)) in y 0.314 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.314 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.314 * [taylor]: Taking taylor expansion of y in y 0.314 * [taylor]: Taking taylor expansion of 1.0 in y 0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.314 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.314 * [taylor]: Taking taylor expansion of y in y 0.315 * [taylor]: Taking taylor expansion of 1.0 in y 0.318 * [taylor]: Taking taylor expansion of 0 in y 0.324 * [taylor]: Taking taylor expansion of 0 in y 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.350 * [taylor]: Taking taylor expansion of 0 in y 0.351 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.351 * [approximate]: Taking taylor expansion of (* x (- (pow y 2) 1.0)) in (x y) around 0 0.351 * [taylor]: Taking taylor expansion of (* x (- (pow y 2) 1.0)) in y 0.351 * [taylor]: Taking taylor expansion of x in y 0.351 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.351 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of 1.0 in y 0.351 * [taylor]: Taking taylor expansion of (* x (- (pow y 2) 1.0)) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in x 0.351 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.352 * [taylor]: Taking taylor expansion of y in x 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [taylor]: Taking taylor expansion of (* x (- (pow y 2) 1.0)) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in x 0.352 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.352 * [taylor]: Taking taylor expansion of y in x 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.354 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of 1.0 in y 0.356 * [taylor]: Taking taylor expansion of 0 in y 0.359 * [taylor]: Taking taylor expansion of 0 in y 0.360 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.360 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) 1.0) x) in y 0.360 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.360 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.361 * [taylor]: Taking taylor expansion of 1.0 in y 0.361 * [taylor]: Taking taylor expansion of x in y 0.361 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) 1.0) x) in x 0.361 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.361 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of 1.0 in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) 1.0) x) in x 0.362 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.362 * [taylor]: Taking taylor expansion of y in x 0.362 * [taylor]: Taking taylor expansion of 1.0 in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.363 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.364 * [taylor]: Taking taylor expansion of 1.0 in y 0.366 * [taylor]: Taking taylor expansion of 0 in y 0.369 * [taylor]: Taking taylor expansion of 0 in y 0.374 * [taylor]: Taking taylor expansion of 0 in y 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.385 * [taylor]: Taking taylor expansion of 0 in y 0.387 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.387 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow y 2)) 1.0) x)) in y 0.387 * [taylor]: Taking taylor expansion of -1 in y 0.387 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) 1.0) x) in y 0.387 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.387 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.387 * [taylor]: Taking taylor expansion of y in y 0.387 * [taylor]: Taking taylor expansion of 1.0 in y 0.387 * [taylor]: Taking taylor expansion of x in y 0.388 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow y 2)) 1.0) x)) in x 0.388 * [taylor]: Taking taylor expansion of -1 in x 0.388 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) 1.0) x) in x 0.388 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.388 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.388 * [taylor]: Taking taylor expansion of y in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow y 2)) 1.0) x)) in x 0.389 * [taylor]: Taking taylor expansion of -1 in x 0.389 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) 1.0) x) in x 0.389 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.389 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.389 * [taylor]: Taking taylor expansion of 1.0 in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of (* -1 (- (/ 1 (pow y 2)) 1.0)) in y 0.390 * [taylor]: Taking taylor expansion of -1 in y 0.390 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.390 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.390 * [taylor]: Taking taylor expansion of y in y 0.391 * [taylor]: Taking taylor expansion of 1.0 in y 0.393 * [taylor]: Taking taylor expansion of 0 in y 0.398 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.413 * [taylor]: Taking taylor expansion of 0 in y 0.422 * [taylor]: Taking taylor expansion of 0 in y 0.423 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 0.423 * [approximate]: Taking taylor expansion of (- (pow y 2) 1.0) in (y) around 0 0.423 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.423 * [taylor]: Taking taylor expansion of 1.0 in y 0.423 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.423 * [taylor]: Taking taylor expansion of 1.0 in y 0.434 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in (y) around 0 0.434 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.434 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.434 * [taylor]: Taking taylor expansion of 1.0 in y 0.434 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.434 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of 1.0 in y 0.458 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in (y) around 0 0.458 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.458 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.458 * [taylor]: Taking taylor expansion of y in y 0.458 * [taylor]: Taking taylor expansion of 1.0 in y 0.458 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.458 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.459 * [taylor]: Taking taylor expansion of y in y 0.459 * [taylor]: Taking taylor expansion of 1.0 in y 0.475 * * * [progress]: simplifying candidates 0.476 * [simplify]: Simplifying using # : (expm1 (/ (* x (- (* y y) (* 1.0 1.0))) (- y 1.0))) (log1p (/ (* x (- (* y y) (* 1.0 1.0))) (- y 1.0))) (- (+ (log x) (log (- (* y y) (* 1.0 1.0)))) (log (- y 1.0))) (- (log (* x (- (* y y) (* 1.0 1.0)))) (log (- y 1.0))) (log (/ (* x (- (* y y) (* 1.0 1.0))) (- y 1.0))) (exp (/ (* x (- (* y y) (* 1.0 1.0))) (- y 1.0))) (/ (* (* (* x x) x) (* (* (- (* y y) (* 1.0 1.0)) (- (* y y) (* 1.0 1.0))) (- (* y y) (* 1.0 1.0)))) (* (* (- y 1.0) (- y 1.0)) (- y 1.0))) (/ (* (* (* x (- (* y y) (* 1.0 1.0))) (* x (- (* y y) (* 1.0 1.0)))) (* x (- (* y y) (* 1.0 1.0)))) (* (* (- y 1.0) (- y 1.0)) (- y 1.0))) (* (cbrt (/ (* x (- (* y y) (* 1.0 1.0))) (- y 1.0))) (cbrt (/ (* x (- (* y y) (* 1.0 1.0))) (- y 1.0)))) (cbrt (/ (* x (- (* y y) (* 1.0 1.0))) (- y 1.0))) (* (* (/ (* x (- (* y y) (* 1.0 1.0))) (- y 1.0)) (/ (* x (- (* y y) (* 1.0 1.0))) (- y 1.0))) (/ (* x (- (* y y) (* 1.0 1.0))) (- y 1.0))) (sqrt (/ (* x (- (* y y) (* 1.0 1.0))) (- y 1.0))) (sqrt (/ (* x (- (* y y) (* 1.0 1.0))) (- y 1.0))) (- (* x (- (* y y) (* 1.0 1.0)))) (- (- y 1.0)) (/ x (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (/ (- (* y y) (* 1.0 1.0)) (cbrt (- y 1.0))) (/ x (sqrt (- y 1.0))) (/ (- (* y y) (* 1.0 1.0)) (sqrt (- y 1.0))) (/ x 1) (/ (- (* y y) (* 1.0 1.0)) (- y 1.0)) (/ x (+ (sqrt y) (sqrt 1.0))) (/ (- (* y y) (* 1.0 1.0)) (- (sqrt y) (sqrt 1.0))) (/ x 1) (/ (- (* y y) (* 1.0 1.0)) (- y 1.0)) (/ 1 (- y 1.0)) (/ (- y 1.0) (* x (- (* y y) (* 1.0 1.0)))) (/ (* x (- (* y y) (* 1.0 1.0))) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (/ (* x (- (* y y) (* 1.0 1.0))) (sqrt (- y 1.0))) (/ (* x (- (* y y) (* 1.0 1.0))) 1) (/ (* x (- (* y y) (* 1.0 1.0))) (+ (sqrt y) (sqrt 1.0))) (/ (* x (- (* y y) (* 1.0 1.0))) 1) (/ (- y 1.0) (- (* y y) (* 1.0 1.0))) (/ (* x (- (* y y) (* 1.0 1.0))) (- (pow y 3) (pow 1.0 3))) (/ (* x (- (* y y) (* 1.0 1.0))) (- (* y y) (* 1.0 1.0))) (* (- y 1.0) (+ (* (* y y) (* y y)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* y y) (* 1.0 1.0))))) (* (- y 1.0) (+ (* y y) (* 1.0 1.0))) (expm1 (* x (- (* y y) (* 1.0 1.0)))) (log1p (* x (- (* y y) (* 1.0 1.0)))) (* x (- (* y y) (* 1.0 1.0))) (+ (log x) (log (- (* y y) (* 1.0 1.0)))) (log (* x (- (* y y) (* 1.0 1.0)))) (exp (* x (- (* y y) (* 1.0 1.0)))) (* (* (* x x) x) (* (* (- (* y y) (* 1.0 1.0)) (- (* y y) (* 1.0 1.0))) (- (* y y) (* 1.0 1.0)))) (* (cbrt (* x (- (* y y) (* 1.0 1.0)))) (cbrt (* x (- (* y y) (* 1.0 1.0))))) (cbrt (* x (- (* y y) (* 1.0 1.0)))) (* (* (* x (- (* y y) (* 1.0 1.0))) (* x (- (* y y) (* 1.0 1.0)))) (* x (- (* y y) (* 1.0 1.0)))) (sqrt (* x (- (* y y) (* 1.0 1.0)))) (sqrt (* x (- (* y y) (* 1.0 1.0)))) (* (sqrt x) (sqrt (- (* y y) (* 1.0 1.0)))) (* (sqrt x) (sqrt (- (* y y) (* 1.0 1.0)))) (* x (fma y y (- (* 1.0 1.0)))) (* x (fma (- 1.0) 1.0 (* 1.0 1.0))) (* x (* y y)) (* x (- (* 1.0 1.0))) (* x (* y y)) (* x (- (* 1.0 1.0))) (* (fma y y (- (* 1.0 1.0))) x) (* (fma (- 1.0) 1.0 (* 1.0 1.0)) x) (* (* y y) x) (* (- (* 1.0 1.0)) x) (* (* y y) x) (* (- (* 1.0 1.0)) x) (* x (* (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (- (* y y) (* 1.0 1.0))))) (* x (sqrt (- (* y y) (* 1.0 1.0)))) (* x 1) (* x (+ y 1.0)) (* (cbrt x) (- (* y y) (* 1.0 1.0))) (* (sqrt x) (- (* y y) (* 1.0 1.0))) (* x (- (* y y) (* 1.0 1.0))) (* x (- (pow (* y y) 3) (pow (* 1.0 1.0) 3))) (* x (- (* (* y y) (* y y)) (* (* 1.0 1.0) (* 1.0 1.0)))) (fma y y (- (* 1.0 1.0))) (fma (- 1.0) 1.0 (* 1.0 1.0)) (expm1 (- (* y y) (* 1.0 1.0))) (log1p (- (* y y) (* 1.0 1.0))) (- (* 1.0 1.0)) (/ (exp (* y y)) (exp (* 1.0 1.0))) (log (- (* y y) (* 1.0 1.0))) (exp (- (* y y) (* 1.0 1.0))) (* (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (- (* y y) (* 1.0 1.0)))) (cbrt (- (* y y) (* 1.0 1.0))) (* (* (- (* y y) (* 1.0 1.0)) (- (* y y) (* 1.0 1.0))) (- (* y y) (* 1.0 1.0))) (sqrt (- (* y y) (* 1.0 1.0))) (sqrt (- (* y y) (* 1.0 1.0))) (- (pow (* y y) 3) (pow (* 1.0 1.0) 3)) (+ (* (* y y) (* y y)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* y y) (* 1.0 1.0)))) (- (* 1.0 1.0)) (- (* (* y y) (* y y)) (* (* 1.0 1.0) (* 1.0 1.0))) (+ (* y y) (* 1.0 1.0)) (+ y 1.0) (- y 1.0) (- (* 1.0 1.0)) (+ (* 1.0 x) (* 1.0 (* x y))) (+ (* 1.0 x) (* x y)) (+ (* 1.0 x) (* x y)) (* -1.0 x) (- (* x (pow y 2)) (* 1.0 x)) (- (* x (pow y 2)) (* 1.0 x)) (- (pow y 2) 1.0) (- (pow y 2) 1.0) (- (pow y 2) 1.0) 0.483 * * [simplify]: iteration 0 : 335 enodes (cost 549 ) 0.493 * * [simplify]: iteration 1 : 1630 enodes (cost 472 ) 0.535 * * [simplify]: iteration 2 : 5003 enodes (cost 432 ) 0.538 * [simplify]: Simplified to: (expm1 (/ (* x (- (* y y) (* 1.0 1.0))) (- y 1.0))) (log1p (/ (* x (- (* y y) (* 1.0 1.0))) (- y 1.0))) (log (* x (+ y 1.0))) (log (* x (+ y 1.0))) (log (* x (+ y 1.0))) (exp (* x (+ y 1.0))) (pow (* x (+ y 1.0)) 3) (pow (* x (+ y 1.0)) 3) (* (cbrt (/ (* x (- (* y y) (* 1.0 1.0))) (- y 1.0))) (cbrt (/ (* x (- (* y y) (* 1.0 1.0))) (- y 1.0)))) (cbrt (/ (* x (- (* y y) (* 1.0 1.0))) (- y 1.0))) (pow (* x (+ y 1.0)) 3) (sqrt (/ (* x (- (* y y) (* 1.0 1.0))) (- y 1.0))) (sqrt (/ (* x (- (* y y) (* 1.0 1.0))) (- y 1.0))) (- (* x (- (* y y) (* 1.0 1.0)))) (- (- y 1.0)) (/ x (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (/ (- (* y y) (* 1.0 1.0)) (cbrt (- y 1.0))) (/ x (sqrt (- y 1.0))) (/ (- (* y y) (* 1.0 1.0)) (sqrt (- y 1.0))) x (/ (+ y 1.0) 1) (/ x (+ (sqrt y) (sqrt 1.0))) (/ (- (* y y) (* 1.0 1.0)) (- (sqrt y) (sqrt 1.0))) x (/ (+ y 1.0) 1) (/ 1 (- y 1.0)) (/ (- y 1.0) (* x (- (* y y) (* 1.0 1.0)))) (/ (* x (- (* y y) (* 1.0 1.0))) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (/ (* x (- (* y y) (* 1.0 1.0))) (sqrt (- y 1.0))) (* x (- (* y y) (* 1.0 1.0))) (/ (* x (- (* y y) (* 1.0 1.0))) (+ (sqrt y) (sqrt 1.0))) (* x (- (* y y) (* 1.0 1.0))) (/ (- y 1.0) (- (* y y) (* 1.0 1.0))) (/ (* x (- (* y y) (* 1.0 1.0))) (- (pow y 3) (pow 1.0 3))) x (fma (pow y 4) (- y 1.0) (* (* (- y 1.0) (* 1.0 1.0)) (fma y y (* 1.0 1.0)))) (* (fma y y (* 1.0 1.0)) (- y 1.0)) (expm1 (* x (- (* y y) (* 1.0 1.0)))) (log1p (* x (- (* y y) (* 1.0 1.0)))) (* x (- (* y y) (* 1.0 1.0))) (log (* x (- (* y y) (* 1.0 1.0)))) (log (* x (- (* y y) (* 1.0 1.0)))) (exp (* x (- (* y y) (* 1.0 1.0)))) (pow (* x (- (* y y) (* 1.0 1.0))) 3) (* (cbrt (* x (- (* y y) (* 1.0 1.0)))) (cbrt (* x (- (* y y) (* 1.0 1.0))))) (cbrt (* x (- (* y y) (* 1.0 1.0)))) (pow (* x (- (* y y) (* 1.0 1.0))) 3) (sqrt (* x (- (* y y) (* 1.0 1.0)))) (sqrt (* x (- (* y y) (* 1.0 1.0)))) (* (sqrt x) (sqrt (- (* y y) (* 1.0 1.0)))) (* (sqrt x) (sqrt (- (* y y) (* 1.0 1.0)))) (* x (- (* y y) (* 1.0 1.0))) (* x (fma (- 1.0) 1.0 (* 1.0 1.0))) (* x (* y y)) (* x (- (* 1.0 1.0))) (* x (* y y)) (* x (- (* 1.0 1.0))) (* x (- (* y y) (* 1.0 1.0))) (* x (fma (- 1.0) 1.0 (* 1.0 1.0))) (* x (* y y)) (* x (- (* 1.0 1.0))) (* x (* y y)) (* x (- (* 1.0 1.0))) (* x (* (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (- (* y y) (* 1.0 1.0))))) (* x (sqrt (- (* y y) (* 1.0 1.0)))) x (* x (+ y 1.0)) (* (cbrt x) (- (* y y) (* 1.0 1.0))) (* (sqrt x) (- (* y y) (* 1.0 1.0))) (* x (- (* y y) (* 1.0 1.0))) (* x (- (pow (* y y) 3) (pow (* 1.0 1.0) 3))) (fma x (pow y 4) (* x (* (- (pow 1.0 3)) 1.0))) (- (* y y) (* 1.0 1.0)) (fma (- 1.0) 1.0 (* 1.0 1.0)) (expm1 (- (* y y) (* 1.0 1.0))) (log1p (- (* y y) (* 1.0 1.0))) (- (* 1.0 1.0)) (exp (- (* y y) (* 1.0 1.0))) (log (- (* y y) (* 1.0 1.0))) (exp (- (* y y) (* 1.0 1.0))) (* (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (- (* y y) (* 1.0 1.0)))) (cbrt (- (* y y) (* 1.0 1.0))) (pow (- (* y y) (* 1.0 1.0)) 3) (sqrt (- (* y y) (* 1.0 1.0))) (sqrt (- (* y y) (* 1.0 1.0))) (- (pow (* y y) 3) (pow (* 1.0 1.0) 3)) (fma 1.0 (* 1.0 (fma y y (* 1.0 1.0))) (pow y 4)) (- (* 1.0 1.0)) (fma (- (pow 1.0 3)) 1.0 (pow y 4)) (fma y y (* 1.0 1.0)) (+ y 1.0) (- y 1.0) (- (* 1.0 1.0)) (fma 1.0 x (* 1.0 (* x y))) (* x (+ y 1.0)) (* x (+ y 1.0)) (* -1.0 x) (* x (- (pow y 2) 1.0)) (* x (- (pow y 2) 1.0)) (- (pow y 2) 1.0) (- (pow y 2) 1.0) (- (pow y 2) 1.0) 0.539 * * * [progress]: adding candidates to table 0.724 * [progress]: [Phase 3 of 3] Extracting. 0.724 * * [regime]: Finding splitpoints for: (# #) 0.724 * * * [regime-changes]: Trying 4 branch expressions: ((+ y 1.0) (* x (+ y 1.0)) y x) 0.724 * * * * [regimes]: Trying to branch on (+ y 1.0) from (# #) 0.735 * * * * [regimes]: Trying to branch on (* x (+ y 1.0)) from (# #) 0.751 * * * * [regimes]: Trying to branch on y from (# #) 0.763 * * * * [regimes]: Trying to branch on x from (# #) 0.775 * * * [regime]: Found split indices: #