11.489 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (/ x (+ (* x x) 1.0)) 0.014 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.015 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.015 * [simplify]: Simplified to: (/ x (+ (* x x) 1.0)) 0.016 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.017 * * * * [pick]: Picked # 0.017 * * * [progress]: localizing error 0.021 * * * [progress]: generating rewritten candidates 0.021 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.027 * * * [progress]: generating series expansions 0.027 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.027 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 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 0.028 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.028 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of 1.0 in x 0.039 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.039 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.039 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of 1.0 in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.041 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of 1.0 in x 0.064 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.064 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.064 * [taylor]: Taking taylor expansion of -1 in x 0.064 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of 1.0 in x 0.066 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.066 * [taylor]: Taking taylor expansion of -1 in x 0.066 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * * * [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))) (neg x) (neg (+ (* 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 ) 0.094 * * [simplify]: iteration 1 : 555 enodes (cost 195 ) 0.103 * * [simplify]: iteration 2 : 1825 enodes (cost 192 ) 0.139 * * [simplify]: iteration 3 : 5001 enodes (cost 192 ) 0.140 * [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))) (neg x) (neg (+ (* 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 (+ (neg (* 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)) 0.140 * * * [progress]: adding candidates to table 0.196 * * [progress]: iteration 2 / 4 0.196 * * * [progress]: picking best candidate 0.202 * * * * [pick]: Picked # 0.202 * * * [progress]: localizing error 0.209 * * * [progress]: generating rewritten candidates 0.209 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.213 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.217 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.232 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.256 * * * [progress]: generating series expansions 0.256 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.256 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.256 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.256 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of 1.0 in x 0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.258 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [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 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [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 0.287 * [taylor]: Taking taylor expansion of 1.0 in x 0.298 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.298 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.298 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.298 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.298 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of 1.0 in x 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 0.312 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.312 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of 1.0 in x 0.314 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of 1.0 in x 0.330 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.330 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.343 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.344 * [approximate]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in (x) around 0 0.344 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [taylor]: Taking taylor expansion of (/ x (+ (pow x 2) 1.0)) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.354 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.355 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.355 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of 1.0 in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.357 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.357 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.376 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.376 * [taylor]: Taking taylor expansion of -1 in x 0.376 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.376 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.378 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 (pow x 2)) 1.0))) in x 0.379 * [taylor]: Taking taylor expansion of -1 in x 0.379 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 (pow x 2)) 1.0)) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.379 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of 1.0 in x 0.398 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.398 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) in (x) around 0 0.398 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) in x 0.398 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) 1.0))) in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) 1.0)) in x 0.398 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.398 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) 1.0))) x) in x 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 x in x 0.456 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in (x) around 0 0.456 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.456 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of 1.0 in x 0.459 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.459 * [taylor]: Taking taylor expansion of x in x 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 0.460 * [taylor]: Taking taylor expansion of 1.0 in x 0.486 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))))) in (x) around 0 0.486 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))))) in x 0.486 * [taylor]: Taking taylor expansion of -1 in x 0.486 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.487 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of 1.0 in x 0.490 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))))) in x 0.490 * [taylor]: Taking taylor expansion of -1 in x 0.490 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0)))) in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) 1.0))) in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) 1.0)) in x 0.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of 1.0 in x 0.519 * * * [progress]: simplifying candidates 0.523 * [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)) (/ 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x) 1.0)))) (/ 1 1) (/ x (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ (sqrt (+ (* x x) 1.0)) x) (/ x (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ x (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0))))) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt 1)) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (/ x 1) (/ (sqrt (+ (* x x) 1.0)) (cbrt x)) (/ (sqrt (+ (* x x) 1.0)) (sqrt x)) (/ (sqrt (+ (* x x) 1.0)) x) (/ x (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (/ x (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)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 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)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (- (+ (* 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)))) (- (+ (* x (sqrt 1.0)) (* 0.5 (/ (pow x 5) (sqrt 1.0)))) (+ (* 0.125 (/ (pow x 5) (pow (sqrt 1.0) 3))) (* 0.5 (/ (pow x 3) (sqrt 1.0))))) (- (+ (* 0.375 (/ 1 (pow x 4))) 1) (* 0.5 (/ 1 (pow x 2)))) (- (* 0.5 (/ 1 (pow x 2))) (+ (* 0.375 (/ 1 (pow x 4))) 1)) 0.540 * * [simplify]: iteration 0 : 774 enodes (cost 3878 ) 0.553 * * [simplify]: iteration 1 : 2962 enodes (cost 3482 ) 0.587 * * [simplify]: iteration 2 : 5001 enodes (cost 3411 ) 0.604 * [simplify]: Simplified to: (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))) (pow (sqrt (+ (* x x) 1.0)) 3) (fabs (cbrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) 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 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1.0)))) (* (/ (/ x 2) (pow (sqrt (sqrt (+ (* x x) 1.0))) 3)) 2) 1 (/ x (+ (* x x) 1.0)) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (* (/ (/ x 2) (pow (sqrt (sqrt (+ (* x x) 1.0))) 3)) 2) 1 (/ x (+ (* x x) 1.0)) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (* 1 (fabs (cbrt (+ (* x x) 1.0))))) (/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (* (/ (/ x 2) (pow (sqrt (sqrt (+ (* x x) 1.0))) 3)) 2) 1 (/ x (+ (* x x) 1.0)) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (* (/ (/ x 2) (pow (sqrt (sqrt (+ (* x x) 1.0))) 3)) 2) 1 (/ x (+ (* x x) 1.0)) (/ x (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (/ 1 (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ x (fabs (cbrt (+ (* x x) 1.0)))) (/ (/ 1 (sqrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0)))) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (pow (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 3) x (/ 1 (+ (* x x) 1.0)) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) (pow (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) 3) x (/ 1 (+ (* x x) 1.0)) (/ (/ x (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0)))) (/ x (* (fabs (cbrt (+ (* 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 (cbrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (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) 1.0))) (/ (/ x (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (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) 1.0))) (/ (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (sqrt (- (* x x) 1.0)) (cbrt (sqrt (+ (* x x) 1.0)))) (/ x (* (fabs (cbrt (+ (* x x) 1.0))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))))) (/ (sqrt (- (* x x) 1.0)) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt (- (* x x) 1.0)) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (/ (sqrt (- (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (/ (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt (- (* x x) 1.0)) (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0)))) (/ (sqrt (- (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ (+ (* x x) 1.0) x) (/ (/ x (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ x (* (fabs (cbrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))) (* (/ (/ x 2) (pow (sqrt (sqrt (+ (* x x) 1.0))) 3)) 2) (/ x (sqrt (+ (* x x) 1.0))) (* (/ (/ x 2) (pow (sqrt (sqrt (+ (* x x) 1.0))) 3)) 2) (/ x (sqrt (+ (* x x) 1.0))) (/ (sqrt (+ (* x x) 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 (sqrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ (cbrt x) (sqrt (cbrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ (cbrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (/ (+ (* x x) 1.0) (cbrt x)) (/ (sqrt (+ (* x x) 1.0)) (/ (cbrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (/ (+ (* x x) 1.0) (cbrt x)) (/ (sqrt (+ (* x x) 1.0)) (/ (sqrt x) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ (sqrt x) (sqrt (cbrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (/ (+ (* x x) 1.0) (sqrt x)) (/ (sqrt (+ (* x x) 1.0)) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0))))) (/ (+ (* x x) 1.0) (sqrt x)) (/ (sqrt (+ (* x x) 1.0)) (/ x (cbrt (sqrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ x (sqrt (cbrt (+ (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (/ x (sqrt (sqrt (+ (* x x) 1.0))))) (/ (+ (* x x) 1.0) x) (/ (sqrt (+ (* x x) 1.0)) (/ x (sqrt (sqrt (+ (* x x) 1.0))))) (/ (+ (* x x) 1.0) x) (/ (+ (* x x) 1.0) x) (+ (* x x) 1.0) (/ (sqrt (+ (* x x) 1.0)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))) (/ (sqrt (+ (* x x) 1.0)) (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)))) (+ (* x x) 1.0) (log (/ x (sqrt (+ (* x x) 1.0)))) (log (/ x (sqrt (+ (* x x) 1.0)))) (exp (/ x (sqrt (+ (* x x) 1.0)))) (pow (/ x (sqrt (+ (* x x) 1.0))) 3) (* (cbrt (/ x (sqrt (+ (* x x) 1.0)))) (cbrt (/ x (sqrt (+ (* x x) 1.0))))) (cbrt (/ x (sqrt (+ (* x x) 1.0)))) (pow (/ x (sqrt (+ (* x x) 1.0))) 3) (sqrt (/ x (sqrt (+ (* x x) 1.0)))) (sqrt (/ x (sqrt (+ (* x x) 1.0)))) (neg x) (neg (sqrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ (cbrt x) (cbrt (sqrt (+ (* x x) 1.0)))) (/ (cbrt x) (/ (fabs (cbrt (+ (* x x) 1.0))) (cbrt x))) (/ (cbrt x) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (cbrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (sqrt (+ (* x x) 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (cbrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (* (cbrt x) (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) (cbrt (sqrt (+ (* x x) 1.0)))) (/ (pow x 1/2) (fabs (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (cbrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt x) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) 1.0)))) (sqrt x) (/ (sqrt x) (sqrt (+ (* x x) 1.0))) (/ 1 (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ x (cbrt (sqrt (+ (* x x) 1.0)))) (/ 1 (* 1 (fabs (cbrt (+ (* x x) 1.0))))) (/ x (sqrt (cbrt (+ (* x x) 1.0)))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ x (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (sqrt (+ (* x x) 1.0)))) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) 1 (/ x (sqrt (+ (* x x) 1.0))) (/ 1 (sqrt (+ (* x x) 1.0))) (/ (sqrt (+ (* x x) 1.0)) x) (/ x (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0))))) (/ x (fabs (cbrt (+ (* x x) 1.0)))) (/ x (sqrt (sqrt (+ (* x x) 1.0)))) x (/ x (sqrt (sqrt (+ (* x x) 1.0)))) x (/ (sqrt (+ (* x x) 1.0)) (cbrt x)) (/ (sqrt (+ (* x x) 1.0)) (sqrt x)) (/ (sqrt (+ (* x x) 1.0)) x) (/ x (sqrt (+ (pow (* x x) 3) (pow 1.0 3)))) (/ x (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)))) (+ (/ (neg 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)))) (+ (/ (neg 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))) (- (+ (* x (sqrt 1.0)) (* 0.5 (/ (pow x 5) (sqrt 1.0)))) (+ (* 0.125 (/ (pow x 5) (pow (sqrt 1.0) 3))) (* 0.5 (/ (pow x 3) (sqrt 1.0))))) (+ (- 1 (* 0.5 (/ 1 (pow x 2)))) (/ 0.375 (pow x 4))) (- (* 0.5 (/ 1 (pow x 2))) (+ (* 0.375 (/ 1 (pow x 4))) 1)) 0.611 * * * [progress]: adding candidates to table 0.938 * * [progress]: iteration 3 / 4 0.939 * * * [progress]: picking best candidate 0.944 * * * * [pick]: Picked # 0.944 * * * [progress]: localizing error 0.957 * * * [progress]: generating rewritten candidates 0.957 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.962 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.966 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.967 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.969 * * * [progress]: generating series expansions 0.969 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.969 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.969 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.969 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.969 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.969 * [taylor]: Taking taylor expansion of 1.0 in x 0.971 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.971 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.971 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of 1.0 in x 0.984 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.984 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.985 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of 1.0 in x 0.987 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.987 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.987 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.987 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of 1.0 in x 0.998 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.998 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.998 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.998 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.998 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of 1.0 in x 1.001 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 1.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.001 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.001 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of 1.0 in x 1.012 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.012 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 1.012 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 1.012 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.012 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.012 * [taylor]: Taking taylor expansion of 1.0 in x 1.013 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 1.013 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.013 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.013 * [taylor]: Taking taylor expansion of x in x 1.013 * [taylor]: Taking taylor expansion of 1.0 in x 1.026 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 1.026 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 1.026 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.026 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.026 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.027 * [taylor]: Taking taylor expansion of 1.0 in x 1.029 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 1.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.029 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.029 * [taylor]: Taking taylor expansion of 1.0 in x 1.044 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 1.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 1.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.044 * [taylor]: Taking taylor expansion of x in x 1.045 * [taylor]: Taking taylor expansion of 1.0 in x 1.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 1.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.047 * [taylor]: Taking taylor expansion of 1.0 in x 1.058 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.058 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.058 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.058 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.058 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.058 * [taylor]: Taking taylor expansion of 1/3 in x 1.058 * [taylor]: Taking taylor expansion of (log x) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.058 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.058 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.058 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.058 * [taylor]: Taking taylor expansion of 1/3 in x 1.058 * [taylor]: Taking taylor expansion of (log x) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.108 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.108 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.108 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.108 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.108 * [taylor]: Taking taylor expansion of 1/3 in x 1.108 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.108 * [taylor]: Taking taylor expansion of x in x 1.112 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.112 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.112 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.112 * [taylor]: Taking taylor expansion of 1/3 in x 1.112 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.112 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.112 * [taylor]: Taking taylor expansion of x in x 1.164 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.164 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.164 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.164 * [taylor]: Taking taylor expansion of -1 in x 1.165 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.165 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.165 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.165 * [taylor]: Taking taylor expansion of 1/3 in x 1.165 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.165 * [taylor]: Taking taylor expansion of x in x 1.166 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.166 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.166 * [taylor]: Taking taylor expansion of -1 in x 1.167 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.167 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.167 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.167 * [taylor]: Taking taylor expansion of 1/3 in x 1.167 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.167 * [taylor]: Taking taylor expansion of x in x 1.233 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.234 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.234 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.234 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.234 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.234 * [taylor]: Taking taylor expansion of 1/3 in x 1.234 * [taylor]: Taking taylor expansion of (log x) in x 1.234 * [taylor]: Taking taylor expansion of x in x 1.234 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.234 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.234 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.234 * [taylor]: Taking taylor expansion of 1/3 in x 1.234 * [taylor]: Taking taylor expansion of (log x) in x 1.234 * [taylor]: Taking taylor expansion of x in x 1.286 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.286 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.286 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.286 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.286 * [taylor]: Taking taylor expansion of 1/3 in x 1.286 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.286 * [taylor]: Taking taylor expansion of x in x 1.287 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.287 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.287 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.287 * [taylor]: Taking taylor expansion of 1/3 in x 1.287 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.287 * [taylor]: Taking taylor expansion of x in x 1.342 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.343 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.343 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.343 * [taylor]: Taking taylor expansion of -1 in x 1.343 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.343 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.343 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.343 * [taylor]: Taking taylor expansion of 1/3 in x 1.343 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.344 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.344 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.344 * [taylor]: Taking taylor expansion of -1 in x 1.345 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.345 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.345 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.345 * [taylor]: Taking taylor expansion of 1/3 in x 1.345 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.345 * [taylor]: Taking taylor expansion of x in x 1.413 * * * [progress]: simplifying candidates 1.413 * [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))) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 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)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 1.418 * * [simplify]: iteration 0 : 169 enodes (cost 286 ) 1.421 * * [simplify]: iteration 1 : 516 enodes (cost 276 ) 1.431 * * [simplify]: iteration 2 : 2197 enodes (cost 268 ) 1.484 * * [simplify]: iteration 3 : 5001 enodes (cost 266 ) 1.486 * [simplify]: Simplified to: (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))) (pow (sqrt (+ (* x x) 1.0)) 3) (fabs (cbrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) 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))) (pow (sqrt (+ (* x x) 1.0)) 3) (fabs (cbrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) 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 (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (+ x (* (/ 1 x) (- 0.5 (/ 0.125 (pow x 2))))) (- (* (/ 1 x) (- (/ 0.125 (pow x 2)) 0.5)) x) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (+ x (* (/ 1 x) (- 0.5 (/ 0.125 (pow x 2))))) (- (* (/ 1 x) (- (/ 0.125 (pow x 2)) 0.5)) x) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 1.487 * * * [progress]: adding candidates to table 1.629 * * [progress]: iteration 4 / 4 1.629 * * * [progress]: picking best candidate 1.633 * * * * [pick]: Picked # 1.633 * * * [progress]: localizing error 1.641 * * * [progress]: generating rewritten candidates 1.641 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 1.652 * * * [progress]: generating series expansions 1.652 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 1.652 * [approximate]: Taking taylor expansion of (- (+ x (pow x 5)) (pow x 3)) in (x) around 0 1.652 * [taylor]: Taking taylor expansion of (- (+ x (pow x 5)) (pow x 3)) in x 1.652 * [taylor]: Taking taylor expansion of (+ x (pow x 5)) in x 1.652 * [taylor]: Taking taylor expansion of x in x 1.652 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.652 * [taylor]: Taking taylor expansion of x in x 1.652 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.652 * [taylor]: Taking taylor expansion of x in x 1.652 * [taylor]: Taking taylor expansion of (- (+ x (pow x 5)) (pow x 3)) in x 1.652 * [taylor]: Taking taylor expansion of (+ x (pow x 5)) in x 1.652 * [taylor]: Taking taylor expansion of x in x 1.652 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.652 * [taylor]: Taking taylor expansion of x in x 1.652 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.652 * [taylor]: Taking taylor expansion of x in x 1.659 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3))) in (x) around 0 1.659 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3))) in x 1.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 5)) (/ 1 x)) in x 1.659 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.659 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.660 * [taylor]: Taking taylor expansion of x in x 1.661 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.661 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.661 * [taylor]: Taking taylor expansion of x in x 1.661 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3))) in x 1.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 5)) (/ 1 x)) in x 1.661 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.661 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.661 * [taylor]: Taking taylor expansion of x in x 1.662 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.662 * [taylor]: Taking taylor expansion of x in x 1.663 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.663 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.663 * [taylor]: Taking taylor expansion of x in x 1.677 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 3)) (+ (/ 1 (pow x 5)) (/ 1 x))) in (x) around 0 1.677 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 3)) (+ (/ 1 (pow x 5)) (/ 1 x))) in x 1.677 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.677 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.677 * [taylor]: Taking taylor expansion of x in x 1.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 5)) (/ 1 x)) in x 1.678 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.678 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.679 * [taylor]: Taking taylor expansion of x in x 1.679 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 3)) (+ (/ 1 (pow x 5)) (/ 1 x))) in x 1.679 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.679 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.679 * [taylor]: Taking taylor expansion of x in x 1.680 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 5)) (/ 1 x)) in x 1.680 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.680 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.680 * [taylor]: Taking taylor expansion of x in x 1.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.681 * [taylor]: Taking taylor expansion of x in x 1.695 * * * [progress]: simplifying candidates 1.696 * [simplify]: Simplifying using # : (/ (* (exp x) (exp (pow x 5))) (exp (pow x 3))) (/ (exp (+ x (pow x 5))) (exp (pow x 3))) (log (- (+ x (pow x 5)) (pow x 3))) (exp (- (+ x (pow x 5)) (pow x 3))) (* (cbrt (- (+ x (pow x 5)) (pow x 3))) (cbrt (- (+ x (pow x 5)) (pow x 3)))) (cbrt (- (+ x (pow x 5)) (pow x 3))) (* (* (- (+ x (pow x 5)) (pow x 3)) (- (+ x (pow x 5)) (pow x 3))) (- (+ x (pow x 5)) (pow x 3))) (sqrt (- (+ x (pow x 5)) (pow x 3))) (sqrt (- (+ x (pow x 5)) (pow x 3))) (- (pow (+ x (pow x 5)) 3) (pow (pow x 3) 3)) (+ (* (+ x (pow x 5)) (+ x (pow x 5))) (+ (* (pow x 3) (pow x 3)) (* (+ x (pow x 5)) (pow x 3)))) (neg (pow x 3)) (- (* (+ x (pow x 5)) (+ x (pow x 5))) (* (pow x 3) (pow x 3))) (+ (+ x (pow x 5)) (pow x 3)) (+ (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (- (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (+ (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (- (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (+ (sqrt (+ x (pow x 5))) (sqrt (pow x 3))) (- (sqrt (+ x (pow x 5))) (sqrt (pow x 3))) (+ (sqrt (+ x (pow x 5))) (pow x (/ 3 2))) (- (sqrt (+ x (pow x 5))) (pow x (/ 3 2))) (- (+ x (pow x 5)) (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) (- (pow x 5) (pow x 3)) (neg (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) 1.703 * * [simplify]: iteration 0 : 108 enodes (cost 163 ) 1.706 * * [simplify]: iteration 1 : 374 enodes (cost 154 ) 1.716 * * [simplify]: iteration 2 : 2146 enodes (cost 151 ) 1.771 * * [simplify]: iteration 3 : 5001 enodes (cost 151 ) 1.772 * [simplify]: Simplified to: (exp (- (+ x (pow x 5)) (pow x 3))) (exp (- (+ x (pow x 5)) (pow x 3))) (log (- (+ x (pow x 5)) (pow x 3))) (exp (- (+ x (pow x 5)) (pow x 3))) (* (cbrt (- (+ x (pow x 5)) (pow x 3))) (cbrt (- (+ x (pow x 5)) (pow x 3)))) (cbrt (- (+ x (pow x 5)) (pow x 3))) (pow (- (+ x (pow x 5)) (pow x 3)) 3) (sqrt (- (+ x (pow x 5)) (pow x 3))) (sqrt (- (+ x (pow x 5)) (pow x 3))) (- (pow (+ x (pow x 5)) 3) (pow (pow x 3) 3)) (+ (* (+ x (pow x 5)) (+ (+ x (pow x 5)) (pow x 3))) (pow x 6)) (neg (pow x 3)) (+ (* (+ x (pow x 5)) (+ x (pow x 5))) (neg (pow x 6))) (+ (+ x (pow x 5)) (pow x 3)) (+ (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (- (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (+ (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (- (sqrt (+ x (pow x 5))) (pow (sqrt x) 3)) (+ (sqrt (+ x (pow x 5))) (sqrt (pow x 3))) (- (sqrt (+ x (pow x 5))) (sqrt (pow x 3))) (+ (sqrt (+ x (pow x 5))) (pow x 3/2)) (- (sqrt (+ x (pow x 5))) (pow x 3/2)) (- (+ x (pow x 5)) (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) (- (pow x 5) (pow x 3)) (neg (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) (- (+ x (pow x 5)) (pow x 3)) 1.773 * * * [progress]: adding candidates to table 1.806 * [progress]: [Phase 3 of 3] Extracting. 1.806 * * [regime]: Finding splitpoints for: (# # # #) 1.807 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.807 * * * * [regimes]: Trying to branch on x from (# # # #) 1.834 * * * [regime]: Found split indices: #