3.144 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.009 * * * [progress]: [2/2] Setting up program. 0.010 * [progress]: [Phase 2 of 3] Improving. 0.010 * [simplify]: Simplifying using # : (/ x (+ (* x x) 1.0)) 0.012 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.014 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.014 * [simplify]: Simplified to: (/ x (+ (* x x) 1.0)) 0.014 * * [progress]: iteration 1 / 4 0.014 * * * [progress]: picking best candidate 0.015 * * * * [pick]: Picked # 0.015 * * * [progress]: localizing error 0.019 * * * [progress]: generating rewritten candidates 0.019 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.025 * * * [progress]: generating series expansions 0.025 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.026 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.026 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.026 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of 1.0 in x 0.027 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.027 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of 1.0 in x 0.037 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.037 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.037 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of 1.0 in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.040 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.059 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.059 * [taylor]: Taking taylor expansion of -1 in x 0.059 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.061 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.062 * [taylor]: Taking taylor expansion of -1 in x 0.062 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of 1.0 in x 0.085 * * * [progress]: simplifying candidates 0.086 * [simplify]: Simplifying using # : (- (log x) (log (+ (* x x) 1.0))) (log (/ x (+ (* x x) 1.0))) (exp (/ x (+ (* x x) 1.0))) (/ (* (* x x) x) (* (* (+ (* x x) 1.0) (+ (* x x) 1.0)) (+ (* x x) 1.0))) (* (cbrt (/ x (+ (* x x) 1.0))) (cbrt (/ x (+ (* x x) 1.0)))) (cbrt (/ x (+ (* x x) 1.0))) (* (* (/ x (+ (* x x) 1.0)) (/ x (+ (* x x) 1.0))) (/ x (+ (* x x) 1.0))) (sqrt (/ x (+ (* x x) 1.0))) (sqrt (/ x (+ (* x x) 1.0))) (- x) (- (+ (* x x) 1.0)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (cbrt x) (cbrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (* x x) 1.0))) (/ (cbrt x) (sqrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ (* x x) 1.0)) (/ (sqrt x) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (cbrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) 1) (/ (sqrt x) (+ (* x x) 1.0)) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (cbrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (/ 1 1) (/ x (+ (* x x) 1.0)) (/ 1 (+ (* x x) 1.0)) (/ (+ (* x x) 1.0) x) (/ x (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0))) (/ x 1) (/ (+ (* x x) 1.0) (cbrt x)) (/ (+ (* x x) 1.0) (sqrt x)) (/ (+ (* x x) 1.0) x) (/ x (+ (pow (* x x) 3) (pow 1.0 3))) (/ x (- (* (* x x) (* x x)) (* 1.0 1.0))) (- (+ (* 1.0 x) (* 1.0 (pow x 5))) (* 1.0 (pow x 3))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) 0.090 * * [simplify]: iteration 0 : 165 enodes (cost 210 ) 0.093 * * [simplify]: iteration 1 : 555 enodes (cost 195 ) 0.103 * * [simplify]: iteration 2 : 1839 enodes (cost 192 ) 0.138 * * [simplify]: iteration 3 : 5001 enodes (cost 192 ) 0.139 * [simplify]: Simplified to: (log (/ x (+ (* x x) 1.0))) (log (/ x (+ (* x x) 1.0))) (exp (/ x (+ (* x x) 1.0))) (pow (/ x (+ (* x x) 1.0)) 3) (* (cbrt (/ x (+ (* x x) 1.0))) (cbrt (/ x (+ (* x x) 1.0)))) (cbrt (/ x (+ (* x x) 1.0))) (pow (/ x (+ (* x x) 1.0)) 3) (sqrt (/ x (+ (* x x) 1.0))) (sqrt (/ x (+ (* x x) 1.0))) (- x) (- (+ (* x x) 1.0)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (cbrt x) (cbrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (* x x) 1.0))) (/ (cbrt x) (sqrt (+ (* x x) 1.0))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ (* x x) 1.0)) (/ (sqrt x) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (cbrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (sqrt x) (/ (sqrt x) (+ (* x x) 1.0)) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (cbrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) 1 (/ x (+ (* x x) 1.0)) (/ 1 (+ (* x x) 1.0)) (/ (+ (* x x) 1.0) x) (/ x (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0))) x (/ (+ (* x x) 1.0) (cbrt x)) (/ (+ (* x x) 1.0) (sqrt x)) (/ (+ (* x x) 1.0) x) (/ x (+ (pow (* x x) 3) (pow 1.0 3))) (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (* 1.0 (- (+ x (pow x 5)) (pow x 3))) (+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x)) (+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x)) 0.139 * * * [progress]: adding candidates to table 0.192 * * [progress]: iteration 2 / 4 0.192 * * * [progress]: picking best candidate 0.198 * * * * [pick]: Picked # 0.198 * * * [progress]: localizing error 0.207 * * * [progress]: generating rewritten candidates 0.207 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.211 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.214 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.237 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.254 * * * [progress]: generating series expansions 0.254 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.254 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.254 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.254 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.254 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of 1.0 in x 0.256 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.257 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.257 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of 1.0 in x 0.271 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.271 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of 1.0 in x 0.273 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of 1.0 in x 0.284 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.284 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of 1.0 in x 0.287 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.287 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of 1.0 in x 0.298 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.299 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.299 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.299 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of 1.0 in x 0.300 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.300 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.300 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of 1.0 in x 0.313 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.313 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of 1.0 in x 0.316 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of 1.0 in x 0.327 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.327 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of 1.0 in x 0.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of 1.0 in x 0.348 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.348 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.348 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.359 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.359 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.359 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.359 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of 1.0 in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.362 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of 1.0 in x 0.381 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.381 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.381 * [taylor]: Taking taylor expansion of -1 in x 0.381 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.384 * [taylor]: Taking taylor expansion of -1 in x 0.384 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.384 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of 1.0 in x 0.403 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.404 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in (x) around 0 0.404 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 0.404 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.406 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 0.406 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of 1.0 in x 0.439 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.439 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.439 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.439 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.442 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of 1.0 in x 0.460 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.460 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.460 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.460 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of 1.0 in x 0.463 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of 1.0 in x 0.481 * * * [progress]: simplifying candidates 0.484 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) 1.0))) (exp (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0))) (* (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0))) (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (sqrt (cbrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt 1) (sqrt (+ (* x x) 1.0)) (sqrt (+ (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (- (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (log (sqrt (+ (* x x) 1.0))) (exp (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0))) (* (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0))) (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (sqrt (cbrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt 1) (sqrt (+ (* x x) 1.0)) (sqrt (+ (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (- (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0)))) (+ (- (log (sqrt (+ (* x x) 1.0)))) (- (log x) (log (sqrt (+ (* x x) 1.0))))) (+ (- (log (sqrt (+ (* x x) 1.0)))) (log (/ x (sqrt (+ (* x x) 1.0))))) (+ (- 0 (log (sqrt (+ (* x x) 1.0)))) (- (log x) (log (sqrt (+ (* x x) 1.0))))) (+ (- 0 (log (sqrt (+ (* x x) 1.0)))) (log (/ x (sqrt (+ (* x x) 1.0))))) (+ (- (log 1) (log (sqrt (+ (* x x) 1.0)))) (- (log 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1.0)))) (cbrt (/ x (sqrt (+ (* x x) 1.0))))) (sqrt (+ (* x x) 1.0))) (/ (sqrt (/ x (sqrt (+ (* x x) 1.0)))) (sqrt (+ (* x x) 1.0))) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (sqrt (+ (* x x) 1.0))) (/ (/ (cbrt x) (/ (fabs (cbrt (+ (* x x) 1.0))) (cbrt x))) (sqrt (+ (* x x) 1.0))) (/ (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (* x x) 1.0))) (/ (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (* x x) 1.0))) (/ (/ (sqrt x) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (sqrt (+ (* x x) 1.0))) (/ (/ (sqrt x) (fabs (cbrt (+ (* x x) 1.0)))) (sqrt (+ (* x x) 1.0))) (/ (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (/ 1 (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (/ 1 (sqrt (+ (* x x) 1.0))) (fabs (cbrt (+ (* x x) 1.0)))) (/ (/ 1 (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ (/ 1 (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (* (cbrt (/ 1 (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0)))) (* (sqrt (/ 1 (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (+ (* x x) 1.0)) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (+ (* x x) 1.0)) (/ (/ x (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (+ (* x x) 1.0)) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (+ (* x x) 1.0)) (/ (/ x (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (+ (* x x) 1.0)) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (+ (* x x) 1.0)) (/ x (+ (* x x) 1.0)) (/ x (+ (* x x) 1.0)) (* (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0)))) (* (sqrt (- (* x x) 1.0)) (/ x (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))) (- 1/2) (- 1) (- 1/2) (log (/ 1 (sqrt (+ (* x x) 1.0)))) (log (/ 1 (sqrt (+ (* x x) 1.0)))) (log (/ 1 (sqrt (+ (* x x) 1.0)))) (log (/ 1 (sqrt (+ (* x x) 1.0)))) (exp (/ 1 (sqrt (+ (* x x) 1.0)))) (/ 1 (pow (sqrt (+ (* x x) 1.0)) 3)) (* (cbrt (/ 1 (sqrt (+ (* x x) 1.0)))) (cbrt (/ 1 (sqrt (+ (* x x) 1.0))))) (cbrt (/ 1 (sqrt (+ (* x x) 1.0)))) (/ 1 (pow (sqrt (+ (* x x) 1.0)) 3)) (sqrt (/ 1 (sqrt (+ (* x x) 1.0)))) (sqrt (/ 1 (sqrt (+ (* x x) 1.0)))) (- 1) (- (sqrt (+ (* x x) 1.0))) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ 1 (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (/ (fabs (cbrt (+ (* x x) 1.0))) 1)) (/ 1 (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ 1 (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (/ (fabs (cbrt (+ (* x x) 1.0))) 1)) (/ 1 (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ 1 (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (/ (fabs (cbrt (+ (* x x) 1.0))) 1)) (/ 1 (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ 1 (/ (fabs (cbrt (+ (* x x) 1.0))) 1)) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 1 (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0)) (/ 1 (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (/ 1 (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (+ (/ (- 0.125) (pow x 3)) (+ (/ 0.5 x) x)) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (+ (/ (- 0.125) (pow x 3)) (+ (/ 0.5 x) x)) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (* 1.0 (- (+ x (pow x 5)) (pow x 3))) (+ (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (/ 1.0 (pow x 5))) (+ (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (/ 1.0 (pow x 5))) (- (+ (* 0.5 (/ (pow x 4) (sqrt 1.0))) (sqrt 1.0)) (+ (* 0.125 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 0.5 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.375 (/ 1 (pow x 5))) (/ 1 x)) (* 0.5 (/ 1 (pow x 3)))) (- (* 0.5 (/ 1 (pow x 3))) (+ (/ 1 x) (* 0.375 (/ 1 (pow x 5))))) 0.558 * * * [progress]: adding candidates to table 0.788 * * [progress]: iteration 3 / 4 0.788 * * * [progress]: picking best candidate 0.792 * * * * [pick]: Picked # 0.792 * * * [progress]: localizing error 0.798 * * * [progress]: generating rewritten candidates 0.798 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.807 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.815 * * * [progress]: generating series expansions 0.815 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.815 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.815 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.815 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.815 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.815 * [taylor]: Taking taylor expansion of 1.0 in x 0.816 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.816 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of 1.0 in x 0.826 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.826 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.826 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.827 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.827 * [taylor]: Taking taylor expansion of x in x 0.827 * [taylor]: Taking taylor expansion of 1.0 in x 0.829 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.829 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.829 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.829 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.830 * [taylor]: Taking taylor expansion of 1.0 in x 0.853 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.853 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.853 * [taylor]: Taking taylor expansion of -1 in x 0.853 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.853 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.853 * [taylor]: Taking taylor expansion of 1.0 in x 0.855 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.855 * [taylor]: Taking taylor expansion of -1 in x 0.855 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.855 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.856 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of 1.0 in x 0.875 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.875 * [approximate]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in (x) around 0 0.875 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 0.875 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.875 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.875 * [taylor]: Taking taylor expansion of 1.0 in x 0.876 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 0.876 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.876 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of 1.0 in x 0.886 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.886 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.886 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.886 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [taylor]: Taking taylor expansion of 1.0 in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.887 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of 1.0 in x 0.900 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.900 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.900 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of 1.0 in x 0.901 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.901 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.901 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.901 * [taylor]: Taking taylor expansion of 1.0 in x 0.914 * * * [progress]: simplifying candidates 0.915 * [simplify]: Simplifying using # : (* x (/ 1 (+ (* x x) 1.0))) (+ (log x) (- (log (+ (* x x) 1.0)))) (+ (log x) (- 0 (log (+ (* x x) 1.0)))) (+ (log x) (- (log 1) (log (+ (* x x) 1.0)))) (+ (log x) (log (/ 1 (+ (* x x) 1.0)))) (log (* x (/ 1 (+ (* x x) 1.0)))) (exp (* x (/ 1 (+ (* x x) 1.0)))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ (* x x) 1.0) (+ (* x x) 1.0)) (+ (* x x) 1.0)))) (* (* (* x x) x) (* (* (/ 1 (+ (* x x) 1.0)) (/ 1 (+ (* x x) 1.0))) (/ 1 (+ (* x x) 1.0)))) (* (cbrt (* x (/ 1 (+ (* x x) 1.0)))) (cbrt (* x (/ 1 (+ (* x x) 1.0))))) (cbrt (* x (/ 1 (+ (* x x) 1.0)))) (* (* (* x (/ 1 (+ (* x x) 1.0))) (* x (/ 1 (+ (* x x) 1.0)))) (* x (/ 1 (+ (* x x) 1.0)))) (sqrt (* x (/ 1 (+ (* x x) 1.0)))) (sqrt (* x (/ 1 (+ (* x x) 1.0)))) (* (sqrt x) (sqrt (/ 1 (+ (* x x) 1.0)))) (* (sqrt x) (sqrt (/ 1 (+ (* x x) 1.0)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ (* x x) 1.0)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ (* x x) 1.0)))) (* (sqrt x) (/ 1 (sqrt (+ (* x x) 1.0)))) (* (sqrt x) (/ 1 (sqrt (+ (* x x) 1.0)))) (* x (* (cbrt (/ 1 (+ (* x x) 1.0))) (cbrt (/ 1 (+ (* x x) 1.0))))) (* x (sqrt (/ 1 (+ (* x x) 1.0)))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (* x x) 1.0)))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))))) (* x (/ (sqrt 1) (sqrt (+ (* x x) 1.0)))) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))))) (* x (/ 1 (sqrt (+ (* x x) 1.0)))) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow (* x x) 3) (pow 1.0 3)))) (* x (/ 1 (- (* (* x x) (* x x)) (* 1.0 1.0)))) (* (cbrt x) (/ 1 (+ (* x x) 1.0))) (* (sqrt x) (/ 1 (+ (* x x) 1.0))) (* x (/ 1 (+ (* x x) 1.0))) (* x 1) (- 1) (- (log (+ (* x x) 1.0))) (- 0 (log (+ (* x x) 1.0))) (- (log 1) (log (+ (* x x) 1.0))) (log (/ 1 (+ (* x x) 1.0))) (exp (/ 1 (+ (* x x) 1.0))) (/ (* (* 1 1) 1) (* (* (+ (* x x) 1.0) (+ (* x x) 1.0)) (+ (* x x) 1.0))) (* (cbrt (/ 1 (+ (* x x) 1.0))) (cbrt (/ 1 (+ (* x x) 1.0)))) (cbrt (/ 1 (+ (* x x) 1.0))) (* (* (/ 1 (+ (* x x) 1.0)) (/ 1 (+ (* x x) 1.0))) (/ 1 (+ (* x x) 1.0))) (sqrt (/ 1 (+ (* x x) 1.0))) (sqrt (/ 1 (+ (* x x) 1.0))) (- 1) (- (+ (* x x) 1.0)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (cbrt 1) (cbrt (+ (* x x) 1.0))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (* x x) 1.0))) (/ (cbrt 1) (sqrt (+ (* x x) 1.0))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ (* x x) 1.0)) (/ (sqrt 1) (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ (sqrt 1) (cbrt (+ (* x x) 1.0))) (/ (sqrt 1) (sqrt (+ (* x x) 1.0))) (/ (sqrt 1) (sqrt (+ (* x x) 1.0))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ (* x x) 1.0)) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ 1 (cbrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 1) (/ 1 (+ (* x x) 1.0)) (/ 1 (+ (* x x) 1.0)) (/ (+ (* x x) 1.0) 1) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 1) (/ (+ (* x x) 1.0) (cbrt 1)) (/ (+ (* x x) 1.0) (sqrt 1)) (/ (+ (* x x) 1.0) 1) (/ 1 (+ (pow (* x x) 3) (pow 1.0 3))) (/ 1 (- (* (* x x) (* x x)) (* 1.0 1.0))) (- (+ (* 1.0 x) (* 1.0 (pow x 5))) (* 1.0 (pow x 3))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (- (+ (* 1.0 (pow x 4)) 1.0) (* 1.0 (pow x 2))) (- (+ (* 1.0 (/ 1 (pow x 6))) (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4)))) (- (+ (* 1.0 (/ 1 (pow x 6))) (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4)))) 0.920 * * [simplify]: iteration 0 : 316 enodes (cost 470 ) 0.927 * * [simplify]: iteration 1 : 1443 enodes (cost 410 ) 0.954 * * [simplify]: iteration 2 : 5001 enodes (cost 374 ) 0.957 * [simplify]: Simplified to: (/ x (+ (* x x) 1.0)) (- (log x) (log (+ (* x x) 1.0))) (- (log x) (log (+ (* x x) 1.0))) (- (log x) (log (+ (* x x) 1.0))) (- (log x) (log (+ (* x x) 1.0))) (- (log x) (log (+ (* x x) 1.0))) (exp (* x (/ 1 (+ (* x x) 1.0)))) (pow (/ x (+ (* x x) 1.0)) 3) (pow (/ x (+ (* x x) 1.0)) 3) (* (cbrt (* x (/ 1 (+ (* x x) 1.0)))) (cbrt (* x (/ 1 (+ (* x x) 1.0))))) (cbrt (* x (/ 1 (+ (* x x) 1.0)))) (pow (/ x (+ (* x x) 1.0)) 3) (sqrt (* x (/ 1 (+ (* x x) 1.0)))) (sqrt (* x (/ 1 (+ (* x x) 1.0)))) (* (sqrt x) (sqrt (/ 1 (+ (* x x) 1.0)))) (* (sqrt x) (sqrt (/ 1 (+ (* x x) 1.0)))) (/ (pow x 1/2) (sqrt (+ (* x x) 1.0))) (/ (pow x 1/2) (sqrt (+ (* x x) 1.0))) (/ (pow x 1/2) (sqrt (+ (* x x) 1.0))) (/ (pow x 1/2) (sqrt (+ (* x x) 1.0))) (* x (* (cbrt (/ 1 (+ (* x x) 1.0))) (cbrt (/ 1 (+ (* x x) 1.0))))) (* x (sqrt (/ 1 (+ (* x x) 1.0)))) (/ x (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0))) x (/ x (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0))) x (/ x (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (sqrt (+ (* x x) 1.0))) x x x (/ x (+ (pow (* x x) 3) (pow 1.0 3))) (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (/ (cbrt x) (+ (* x x) 1.0)) (/ (sqrt x) (+ (* x x) 1.0)) (/ x (+ (* x x) 1.0)) x (- 1) (log (/ 1 (+ (* x x) 1.0))) (log (/ 1 (+ (* x x) 1.0))) (log (/ 1 (+ (* x x) 1.0))) (log (/ 1 (+ (* x x) 1.0))) (exp (/ 1 (+ (* x x) 1.0))) (/ 1 (pow (+ (* x x) 1.0) 3)) (* (cbrt (/ 1 (+ (* x x) 1.0))) (cbrt (/ 1 (+ (* x x) 1.0)))) (cbrt (/ 1 (+ (* x x) 1.0))) (/ 1 (pow (+ (* x x) 1.0) 3)) (sqrt (/ 1 (+ (* x x) 1.0))) (sqrt (/ 1 (+ (* x x) 1.0))) (- 1) (- (+ (* x x) 1.0)) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ 1 (cbrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) 1 (/ 1 (+ (* x x) 1.0)) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ 1 (cbrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) 1 (/ 1 (+ (* x x) 1.0)) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ 1 (cbrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) 1 (/ 1 (+ (* x x) 1.0)) (/ 1 (+ (* x x) 1.0)) (+ (* x x) 1.0) (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (+ (* x x) 1.0))) 1 (+ (* x x) 1.0) (+ (* x x) 1.0) (+ (* x x) 1.0) (/ 1 (+ (pow (* x x) 3) (pow 1.0 3))) (/ 1 (- (* (* x x) (* x x)) (* 1.0 1.0))) (* 1.0 (- (+ x (pow x 5)) (pow x 3))) (- (/ 1 x) (- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5))))) (- (/ 1 x) (- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5))))) (* 1.0 (- (+ (pow x 4) 1) (pow x 2))) (- (/ 1 (pow x 2)) (- (/ 1.0 (pow x 4)) (/ 1.0 (pow x 6)))) (- (/ 1 (pow x 2)) (- (/ 1.0 (pow x 4)) (/ 1.0 (pow x 6)))) 0.957 * * * [progress]: adding candidates to table 1.038 * * [progress]: iteration 4 / 4 1.038 * * * [progress]: picking best candidate 1.041 * * * * [pick]: Picked # 1.041 * * * [progress]: localizing error 1.053 * * * [progress]: generating rewritten candidates 1.053 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.097 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.101 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 1.106 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.167 * * * [progress]: generating series expansions 1.167 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.167 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) in (x) around 0 1.167 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) in x 1.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.167 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.167 * [taylor]: Taking taylor expansion of x in x 1.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.168 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.168 * [taylor]: Taking taylor expansion of x in x 1.169 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) in x 1.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.169 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.169 * [taylor]: Taking taylor expansion of x in x 1.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.170 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.203 * [approximate]: Taking taylor expansion of (- (pow x 5) (pow x 3)) in (x) around 0 1.203 * [taylor]: Taking taylor expansion of (- (pow x 5) (pow x 3)) in x 1.203 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.203 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.204 * [taylor]: Taking taylor expansion of (- (pow x 5) (pow x 3)) in x 1.204 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.204 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.235 * [approximate]: Taking taylor expansion of (- (pow x 3) (pow x 5)) in (x) around 0 1.235 * [taylor]: Taking taylor expansion of (- (pow x 3) (pow x 5)) in x 1.235 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.235 * [taylor]: Taking taylor expansion of x in x 1.235 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.235 * [taylor]: Taking taylor expansion of x in x 1.235 * [taylor]: Taking taylor expansion of (- (pow x 3) (pow x 5)) in x 1.235 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.235 * [taylor]: Taking taylor expansion of x in x 1.235 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.235 * [taylor]: Taking taylor expansion of x in x 1.260 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.261 * [approximate]: Taking taylor expansion of (/ 1 (pow x 5)) in (x) around 0 1.262 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.262 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.263 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.263 * [taylor]: Taking taylor expansion of x in x 1.289 * [approximate]: Taking taylor expansion of (pow x 5) in (x) around 0 1.289 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.289 * [taylor]: Taking taylor expansion of x in x 1.289 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.289 * [taylor]: Taking taylor expansion of x in x 1.309 * [approximate]: Taking taylor expansion of (* -1 (pow x 5)) in (x) around 0 1.310 * [taylor]: Taking taylor expansion of (* -1 (pow x 5)) in x 1.310 * [taylor]: Taking taylor expansion of -1 in x 1.310 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.310 * [taylor]: Taking taylor expansion of x in x 1.310 * [taylor]: Taking taylor expansion of (* -1 (pow x 5)) in x 1.310 * [taylor]: Taking taylor expansion of -1 in x 1.310 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.310 * [taylor]: Taking taylor expansion of x in x 1.334 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 1.334 * [approximate]: Taking taylor expansion of (/ 1 (pow x 3)) in (x) around 0 1.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.334 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.335 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.345 * [approximate]: Taking taylor expansion of (pow x 3) in (x) around 0 1.345 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.345 * [taylor]: Taking taylor expansion of x in x 1.345 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.345 * [taylor]: Taking taylor expansion of x in x 1.352 * [approximate]: Taking taylor expansion of (* -1 (pow x 3)) in (x) around 0 1.353 * [taylor]: Taking taylor expansion of (* -1 (pow x 3)) in x 1.353 * [taylor]: Taking taylor expansion of -1 in x 1.353 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.353 * [taylor]: Taking taylor expansion of x in x 1.353 * [taylor]: Taking taylor expansion of (* -1 (pow x 3)) in x 1.353 * [taylor]: Taking taylor expansion of -1 in x 1.353 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.353 * [taylor]: Taking taylor expansion of x in x 1.364 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.364 * [approximate]: Taking taylor expansion of (- (+ (/ 1 x) (* 1.0 (/ 1 (pow x 5)))) (* 1.0 (/ 1 (pow x 3)))) in (x) around 0 1.364 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (* 1.0 (/ 1 (pow x 5)))) (* 1.0 (/ 1 (pow x 3)))) in x 1.364 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1.0 (/ 1 (pow x 5)))) in x 1.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.364 * [taylor]: Taking taylor expansion of x in x 1.365 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 5))) in x 1.365 * [taylor]: Taking taylor expansion of 1.0 in x 1.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.365 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.365 * [taylor]: Taking taylor expansion of x in x 1.366 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 3))) in x 1.366 * [taylor]: Taking taylor expansion of 1.0 in x 1.366 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.366 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.366 * [taylor]: Taking taylor expansion of x in x 1.367 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (* 1.0 (/ 1 (pow x 5)))) (* 1.0 (/ 1 (pow x 3)))) in x 1.367 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1.0 (/ 1 (pow x 5)))) in x 1.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.367 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 5))) in x 1.367 * [taylor]: Taking taylor expansion of 1.0 in x 1.367 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.367 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.368 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow x 3))) in x 1.368 * [taylor]: Taking taylor expansion of 1.0 in x 1.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.368 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.368 * [taylor]: Taking taylor expansion of x in x 1.387 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (pow x 5)) x) (* 1.0 (pow x 3))) in (x) around 0 1.387 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (pow x 5)) x) (* 1.0 (pow x 3))) in x 1.387 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow x 5)) x) in x 1.387 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 5)) in x 1.387 * [taylor]: Taking taylor expansion of 1.0 in x 1.387 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.387 * [taylor]: Taking taylor expansion of x in x 1.387 * [taylor]: Taking taylor expansion of x in x 1.387 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 3)) in x 1.387 * [taylor]: Taking taylor expansion of 1.0 in x 1.387 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.387 * [taylor]: Taking taylor expansion of x in x 1.387 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (pow x 5)) x) (* 1.0 (pow x 3))) in x 1.387 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow x 5)) x) in x 1.387 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 5)) in x 1.387 * [taylor]: Taking taylor expansion of 1.0 in x 1.387 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.387 * [taylor]: Taking taylor expansion of x in x 1.387 * [taylor]: Taking taylor expansion of x in x 1.387 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 3)) in x 1.387 * [taylor]: Taking taylor expansion of 1.0 in x 1.387 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.387 * [taylor]: Taking taylor expansion of x in x 1.396 * [approximate]: Taking taylor expansion of (- (* 1.0 (pow x 3)) (+ (* 1.0 (pow x 5)) x)) in (x) around 0 1.396 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 3)) (+ (* 1.0 (pow x 5)) x)) in x 1.396 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 3)) in x 1.396 * [taylor]: Taking taylor expansion of 1.0 in x 1.396 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.396 * [taylor]: Taking taylor expansion of x in x 1.396 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow x 5)) x) in x 1.396 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 5)) in x 1.396 * [taylor]: Taking taylor expansion of 1.0 in x 1.396 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.396 * [taylor]: Taking taylor expansion of x in x 1.396 * [taylor]: Taking taylor expansion of x in x 1.396 * [taylor]: Taking taylor expansion of (- (* 1.0 (pow x 3)) (+ (* 1.0 (pow x 5)) x)) in x 1.396 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 3)) in x 1.396 * [taylor]: Taking taylor expansion of 1.0 in x 1.396 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.396 * [taylor]: Taking taylor expansion of x in x 1.396 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow x 5)) x) in x 1.396 * [taylor]: Taking taylor expansion of (* 1.0 (pow x 5)) in x 1.396 * [taylor]: Taking taylor expansion of 1.0 in x 1.397 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.397 * [taylor]: Taking taylor expansion of x in x 1.397 * [taylor]: Taking taylor expansion of x in x 1.411 * * * [progress]: simplifying candidates 1.414 * [simplify]: Simplifying using # : (/ (exp (/ 1 (pow x 5))) (exp (/ 1 (pow x 3)))) (log (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (exp (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (* (cbrt (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (cbrt (- (/ 1 (pow x 5)) (/ 1 (pow x 3))))) (cbrt (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (* (* (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (sqrt (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (sqrt (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (- (* 1 (pow x 3)) (* (pow x 5) 1)) (* (pow x 5) (pow x 3)) (- (pow (/ 1 (pow x 5)) 3) (pow (/ 1 (pow x 3)) 3)) (+ (* (/ 1 (pow x 5)) (/ 1 (pow x 5))) (+ (* (/ 1 (pow x 3)) (/ 1 (pow x 3))) (* (/ 1 (pow x 5)) (/ 1 (pow x 3))))) (- (/ 1 (pow x 3))) (- (* (/ 1 (pow x 5)) (/ 1 (pow x 5))) (* (/ 1 (pow x 3)) (/ 1 (pow x 3)))) (+ (/ 1 (pow x 5)) (/ 1 (pow x 3))) (+ (sqrt (/ 1 (pow x 5))) (sqrt (/ 1 (pow x 3)))) (- (sqrt (/ 1 (pow x 5))) (sqrt (/ 1 (pow x 3)))) (+ (sqrt (/ 1 (pow x 5))) (/ (sqrt 1) (pow (sqrt x) 3))) (- (sqrt (/ 1 (pow x 5))) (/ (sqrt 1) (pow (sqrt x) 3))) (+ (sqrt (/ 1 (pow x 5))) (/ (sqrt 1) (pow (sqrt x) 3))) (- (sqrt (/ 1 (pow x 5))) (/ (sqrt 1) (pow (sqrt x) 3))) (+ (sqrt (/ 1 (pow x 5))) (/ (sqrt 1) (sqrt (pow x 3)))) (- (sqrt (/ 1 (pow x 5))) (/ (sqrt 1) (sqrt (pow x 3)))) (+ (sqrt (/ 1 (pow x 5))) (/ (sqrt 1) (pow x (/ 3 2)))) (- (sqrt (/ 1 (pow x 5))) (/ (sqrt 1) (pow x (/ 3 2)))) (+ (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt x) 3))) (- (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt x) 3))) (+ (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt x) 3))) (- (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt x) 3))) (+ (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt (pow x 3)))) (- (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt (pow x 3)))) (+ (sqrt (/ 1 (pow x 5))) (/ 1 (pow x (/ 3 2)))) (- (sqrt (/ 1 (pow x 5))) (/ 1 (pow x (/ 3 2)))) (+ (/ (sqrt 1) (pow (sqrt x) 5)) (sqrt (/ 1 (pow x 3)))) (- (/ (sqrt 1) (pow (sqrt x) 5)) (sqrt (/ 1 (pow x 3)))) (+ (/ (sqrt 1) (pow (sqrt x) 5)) (/ (sqrt 1) (pow (sqrt x) 3))) (- (/ (sqrt 1) (pow (sqrt x) 5)) (/ (sqrt 1) (pow (sqrt x) 3))) (+ (/ (sqrt 1) (pow (sqrt x) 5)) (/ (sqrt 1) (pow (sqrt x) 3))) (- (/ (sqrt 1) (pow (sqrt x) 5)) (/ (sqrt 1) (pow (sqrt x) 3))) (+ (/ (sqrt 1) (pow (sqrt x) 5)) (/ (sqrt 1) (sqrt (pow x 3)))) (- (/ (sqrt 1) (pow (sqrt x) 5)) (/ (sqrt 1) (sqrt (pow x 3)))) (+ (/ (sqrt 1) (pow (sqrt x) 5)) (/ (sqrt 1) (pow x (/ 3 2)))) (- (/ (sqrt 1) (pow (sqrt x) 5)) (/ (sqrt 1) (pow x (/ 3 2)))) (+ (/ (sqrt 1) (pow (sqrt x) 5)) (/ 1 (pow (sqrt x) 3))) (- (/ (sqrt 1) (pow (sqrt x) 5)) (/ 1 (pow (sqrt x) 3))) (+ (/ (sqrt 1) (pow (sqrt x) 5)) (/ 1 (pow (sqrt x) 3))) (- (/ (sqrt 1) (pow (sqrt x) 5)) (/ 1 (pow (sqrt x) 3))) (+ (/ (sqrt 1) (pow (sqrt x) 5)) (/ 1 (sqrt (pow x 3)))) (- (/ (sqrt 1) (pow (sqrt x) 5)) (/ 1 (sqrt (pow x 3)))) (+ (/ (sqrt 1) (pow (sqrt x) 5)) (/ 1 (pow x (/ 3 2)))) (- (/ (sqrt 1) (pow (sqrt x) 5)) (/ 1 (pow x (/ 3 2)))) (+ (/ (sqrt 1) (sqrt (pow x 5))) (sqrt (/ 1 (pow x 3)))) (- (/ (sqrt 1) (sqrt (pow x 5))) (sqrt (/ 1 (pow x 3)))) (+ (/ (sqrt 1) (sqrt (pow x 5))) (/ (sqrt 1) (pow (sqrt x) 3))) (- (/ (sqrt 1) (sqrt (pow x 5))) (/ (sqrt 1) (pow (sqrt x) 3))) (+ (/ (sqrt 1) (sqrt (pow x 5))) (/ (sqrt 1) (pow (sqrt x) 3))) (- (/ (sqrt 1) (sqrt (pow x 5))) (/ (sqrt 1) (pow (sqrt x) 3))) (+ (/ (sqrt 1) (sqrt (pow x 5))) (/ (sqrt 1) (sqrt (pow x 3)))) (- (/ (sqrt 1) (sqrt (pow x 5))) (/ (sqrt 1) (sqrt (pow x 3)))) (+ (/ (sqrt 1) (sqrt (pow x 5))) (/ (sqrt 1) (pow x (/ 3 2)))) (- (/ (sqrt 1) (sqrt (pow x 5))) (/ (sqrt 1) (pow x (/ 3 2)))) (+ (/ (sqrt 1) (sqrt (pow x 5))) (/ 1 (pow (sqrt x) 3))) (- (/ (sqrt 1) (sqrt (pow x 5))) (/ 1 (pow (sqrt x) 3))) (+ (/ (sqrt 1) (sqrt (pow x 5))) (/ 1 (pow (sqrt x) 3))) (- (/ (sqrt 1) (sqrt (pow x 5))) (/ 1 (pow (sqrt x) 3))) (+ (/ (sqrt 1) (sqrt (pow x 5))) (/ 1 (sqrt (pow x 3)))) (- (/ (sqrt 1) (sqrt (pow x 5))) (/ 1 (sqrt (pow x 3)))) (+ (/ (sqrt 1) (sqrt (pow x 5))) (/ 1 (pow x (/ 3 2)))) (- (/ (sqrt 1) (sqrt (pow x 5))) (/ 1 (pow x (/ 3 2)))) (+ (/ (sqrt 1) (pow x (/ 5 2))) (sqrt (/ 1 (pow x 3)))) (- (/ (sqrt 1) (pow x (/ 5 2))) (sqrt (/ 1 (pow x 3)))) (+ (/ (sqrt 1) (pow x (/ 5 2))) (/ (sqrt 1) (pow (sqrt x) 3))) (- (/ (sqrt 1) (pow x (/ 5 2))) (/ (sqrt 1) (pow (sqrt x) 3))) (+ (/ (sqrt 1) (pow x (/ 5 2))) (/ (sqrt 1) (pow (sqrt x) 3))) (- (/ (sqrt 1) (pow x (/ 5 2))) (/ (sqrt 1) (pow (sqrt x) 3))) (+ (/ (sqrt 1) (pow x (/ 5 2))) (/ (sqrt 1) (sqrt (pow x 3)))) (- (/ (sqrt 1) (pow x (/ 5 2))) (/ (sqrt 1) (sqrt (pow x 3)))) (+ (/ (sqrt 1) (pow x (/ 5 2))) (/ (sqrt 1) (pow x (/ 3 2)))) (- (/ (sqrt 1) (pow x (/ 5 2))) (/ (sqrt 1) (pow x (/ 3 2)))) (+ (/ (sqrt 1) (pow x (/ 5 2))) (/ 1 (pow (sqrt x) 3))) (- (/ (sqrt 1) (pow x (/ 5 2))) (/ 1 (pow (sqrt x) 3))) (+ (/ (sqrt 1) (pow x (/ 5 2))) (/ 1 (pow (sqrt x) 3))) (- (/ (sqrt 1) (pow x (/ 5 2))) (/ 1 (pow (sqrt x) 3))) (+ (/ (sqrt 1) (pow x (/ 5 2))) 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(* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))))) (- (* (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3))))) (* (/ 1 x) (/ 1 x))) (- (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x)) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) (/ 1 (pow x 5)) (/ 1 (pow x 5)) (/ 1 (pow x 5)) (pow (/ 1 x) 3) (pow (/ 1 x) 3) (pow (/ 1 x) 3) (+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x)) (+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x)) (+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x)) 1.498 * * * [progress]: adding candidates to table 1.734 * [progress]: [Phase 3 of 3] Extracting. 1.734 * * [regime]: Finding splitpoints for: (# # # #) 1.735 * * * [regime-changes]: Trying 2 branch expressions: ((/ x (+ (* x x) 1.0)) x) 1.735 * * * * [regimes]: Trying to branch on (/ x (+ (* x x) 1.0)) from (# # # #) 1.760 * * * * [regimes]: Trying to branch on x from (# # # #) 1.785 * * * [regime]: Found split indices: #