10.920 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.208 * * * [progress]: [2/2] Setting up program. 0.210 * [progress]: [Phase 2 of 3] Improving. 0.210 * [simplify]: Simplifying using # : (- (/ 1.0 x) (/ 1.0 (tan x))) 0.211 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.212 * * [simplify]: iteration 1 : 8 enodes (cost 8 ) 0.212 * * [simplify]: iteration 2 : 11 enodes (cost 8 ) 0.214 * * [simplify]: iteration done : 11 enodes (cost 8 ) 0.214 * [simplify]: Simplified to: (- (/ 1.0 x) (/ 1.0 (tan x))) 0.214 * * [progress]: iteration 1 / 4 0.214 * * * [progress]: picking best candidate 0.215 * * * * [pick]: Picked # 0.215 * * * [progress]: localizing error 0.220 * * * [progress]: generating rewritten candidates 0.220 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.239 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.242 * * * [progress]: generating series expansions 0.243 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.243 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (* 1.0 (/ 1 (tan x)))) in (x) around 0 0.243 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (* 1.0 (/ 1 (tan x)))) in x 0.243 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.243 * [taylor]: Taking taylor expansion of 1.0 in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (tan x))) in x 0.243 * [taylor]: Taking taylor expansion of 1.0 in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 (tan x)) in x 0.243 * [taylor]: Taking taylor expansion of (tan x) in x 0.243 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.243 * [taylor]: Taking taylor expansion of (sin x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (cos x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (* 1.0 (/ 1 (tan x)))) in x 0.244 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.244 * [taylor]: Taking taylor expansion of 1.0 in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (tan x))) in x 0.245 * [taylor]: Taking taylor expansion of 1.0 in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 (tan x)) in x 0.245 * [taylor]: Taking taylor expansion of (tan x) in x 0.245 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.245 * [taylor]: Taking taylor expansion of (sin x) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (cos x) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.295 * [approximate]: Taking taylor expansion of (- (* 1.0 x) (* 1.0 (/ 1 (tan (/ 1 x))))) in (x) around 0 0.295 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* 1.0 (/ 1 (tan (/ 1 x))))) in x 0.295 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.295 * [taylor]: Taking taylor expansion of 1.0 in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (tan (/ 1 x)))) in x 0.295 * [taylor]: Taking taylor expansion of 1.0 in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 (tan (/ 1 x))) in x 0.295 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.295 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.295 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* 1.0 (/ 1 (tan (/ 1 x))))) in x 0.296 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.296 * [taylor]: Taking taylor expansion of 1.0 in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (tan (/ 1 x)))) in x 0.296 * [taylor]: Taking taylor expansion of 1.0 in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 (tan (/ 1 x))) in x 0.296 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.296 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.296 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.318 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 (tan (/ -1 x)))) (* 1.0 x))) in (x) around 0 0.318 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 (tan (/ -1 x)))) (* 1.0 x))) in x 0.318 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (tan (/ -1 x)))) (* 1.0 x)) in x 0.318 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (tan (/ -1 x)))) in x 0.318 * [taylor]: Taking taylor expansion of 1.0 in x 0.318 * [taylor]: Taking taylor expansion of (/ 1 (tan (/ -1 x))) in x 0.318 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.318 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.318 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.318 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.318 * [taylor]: Taking taylor expansion of -1 in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.319 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.319 * [taylor]: Taking taylor expansion of -1 in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.319 * [taylor]: Taking taylor expansion of 1.0 in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 (tan (/ -1 x)))) (* 1.0 x))) in x 0.319 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (tan (/ -1 x)))) (* 1.0 x)) in x 0.319 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (tan (/ -1 x)))) in x 0.319 * [taylor]: Taking taylor expansion of 1.0 in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 (tan (/ -1 x))) in x 0.319 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.319 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.319 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.319 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.319 * [taylor]: Taking taylor expansion of -1 in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.320 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.320 * [taylor]: Taking taylor expansion of -1 in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.320 * [taylor]: Taking taylor expansion of 1.0 in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.342 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.342 * [approximate]: Taking taylor expansion of (/ 1.0 (tan x)) in (x) around 0 0.342 * [taylor]: Taking taylor expansion of (/ 1.0 (tan x)) in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.342 * [taylor]: Taking taylor expansion of (tan x) in x 0.343 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.343 * [taylor]: Taking taylor expansion of (sin x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (cos x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (/ 1.0 (tan x)) in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [taylor]: Taking taylor expansion of (tan x) in x 0.344 * [taylor]: Rewrote expression to (/ (sin x) (cos x)) 0.344 * [taylor]: Taking taylor expansion of (sin x) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (cos x) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.367 * [approximate]: Taking taylor expansion of (/ 1.0 (tan (/ 1 x))) in (x) around 0 0.367 * [taylor]: Taking taylor expansion of (/ 1.0 (tan (/ 1 x))) in x 0.367 * [taylor]: Taking taylor expansion of 1.0 in x 0.367 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.368 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.368 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (/ 1.0 (tan (/ 1 x))) in x 0.368 * [taylor]: Taking taylor expansion of 1.0 in x 0.368 * [taylor]: Taking taylor expansion of (tan (/ 1 x)) in x 0.368 * [taylor]: Rewrote expression to (/ (sin (/ 1 x)) (cos (/ 1 x))) 0.368 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.374 * [approximate]: Taking taylor expansion of (/ 1.0 (tan (/ -1 x))) in (x) around 0 0.374 * [taylor]: Taking taylor expansion of (/ 1.0 (tan (/ -1 x))) in x 0.374 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.374 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.374 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.374 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.374 * [taylor]: Taking taylor expansion of -1 in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.375 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.375 * [taylor]: Taking taylor expansion of -1 in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (/ 1.0 (tan (/ -1 x))) in x 0.375 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * [taylor]: Taking taylor expansion of (tan (/ -1 x)) in x 0.375 * [taylor]: Rewrote expression to (/ (sin (/ -1 x)) (cos (/ -1 x))) 0.375 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.375 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.375 * [taylor]: Taking taylor expansion of -1 in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.376 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.376 * [taylor]: Taking taylor expansion of -1 in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.381 * * * [progress]: simplifying candidates 0.382 * [simplify]: Simplifying using # : (/ (exp (/ 1.0 x)) (exp (/ 1.0 (tan x)))) (log (- (/ 1.0 x) (/ 1.0 (tan x)))) (exp (- (/ 1.0 x) (/ 1.0 (tan x)))) (* (cbrt (- (/ 1.0 x) (/ 1.0 (tan x)))) (cbrt (- (/ 1.0 x) (/ 1.0 (tan x))))) (cbrt (- (/ 1.0 x) (/ 1.0 (tan x)))) (* (* (- (/ 1.0 x) (/ 1.0 (tan x))) (- (/ 1.0 x) (/ 1.0 (tan x)))) (- (/ 1.0 x) (/ 1.0 (tan x)))) (sqrt (- (/ 1.0 x) (/ 1.0 (tan x)))) (sqrt (- (/ 1.0 x) (/ 1.0 (tan x)))) (- (* 1.0 (tan x)) (* x 1.0)) (* x (tan x)) (- (pow (/ 1.0 x) 3) (pow (/ 1.0 (tan x)) 3)) (+ (* (/ 1.0 x) (/ 1.0 x)) (+ (* (/ 1.0 (tan x)) (/ 1.0 (tan x))) (* (/ 1.0 x) (/ 1.0 (tan x))))) (- (/ 1.0 (tan x))) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ 1.0 (tan x)) (/ 1.0 (tan x)))) (+ (/ 1.0 x) (/ 1.0 (tan x))) (+ (sqrt (/ 1.0 x)) (sqrt (/ 1.0 (tan x)))) (- (sqrt (/ 1.0 x)) (sqrt (/ 1.0 (tan x)))) (+ (sqrt (/ 1.0 x)) (/ (sqrt 1.0) (sqrt (tan x)))) (- (sqrt (/ 1.0 x)) (/ (sqrt 1.0) (sqrt (tan x)))) (+ (/ (sqrt 1.0) (sqrt x)) (sqrt (/ 1.0 (tan x)))) (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ 1.0 (tan x)))) (+ (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt (tan x)))) (- (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt (tan x)))) (- (/ (cbrt 1.0) x) (/ (cbrt 1.0) (tan x))) (- (/ (sqrt 1.0) x) (/ (sqrt 1.0) (tan x))) (- (/ 1.0 x) (/ 1.0 (tan x))) (- (/ 1.0 x) (/ 1.0 (tan x))) (- (/ 1 x) (/ 1 (tan x))) (- (/ 1.0 (tan x))) (- (log 1.0) (log (tan x))) (log (/ 1.0 (tan x))) (exp (/ 1.0 (tan x))) (/ (* (* 1.0 1.0) 1.0) (* (* (tan x) (tan x)) (tan x))) (* (cbrt (/ 1.0 (tan x))) (cbrt (/ 1.0 (tan x)))) (cbrt (/ 1.0 (tan x))) (* (* (/ 1.0 (tan x)) (/ 1.0 (tan x))) (/ 1.0 (tan x))) (sqrt (/ 1.0 (tan x))) (sqrt (/ 1.0 (tan x))) (- 1.0) (- (tan x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (tan x)) (cbrt (tan x)))) (/ (cbrt 1.0) (cbrt (tan x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (tan x))) (/ (cbrt 1.0) (sqrt (tan x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (tan x)) (/ (sqrt 1.0) (* (cbrt (tan x)) (cbrt (tan x)))) (/ (sqrt 1.0) (cbrt (tan x))) (/ (sqrt 1.0) (sqrt (tan x))) (/ (sqrt 1.0) (sqrt (tan x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (tan x)) (/ 1 (* (cbrt (tan x)) (cbrt (tan x)))) (/ 1.0 (cbrt (tan x))) (/ 1 (sqrt (tan x))) (/ 1.0 (sqrt (tan x))) (/ 1 1) (/ 1.0 (tan x)) (/ 1 (tan x)) (/ (tan x) 1.0) (/ 1.0 (* (cbrt (tan x)) (cbrt (tan x)))) (/ 1.0 (sqrt (tan x))) (/ 1.0 1) (/ (tan x) (cbrt 1.0)) (/ (tan x) (sqrt 1.0)) (/ (tan x) 1.0) (/ 1.0 (sin x)) (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))) (- (* 1.0 (/ 1 x)) (* 1.0 (/ (cos x) (sin x)))) (- (* 1.0 (/ 1 x)) (* 1.0 (/ (cos x) (sin x)))) (- (* 1.0 (/ 1 x)) (+ (* 0.022222222222222227 (pow x 3)) (* 0.3333333333333333 x))) (* 1.0 (/ (cos x) (sin x))) (* 1.0 (/ (cos x) (sin x))) 0.385 * * [simplify]: iteration 0 : 115 enodes (cost 619 ) 0.401 * * [simplify]: iteration 1 : 237 enodes (cost 592 ) 0.443 * * [simplify]: iteration 2 : 611 enodes (cost 564 ) 0.594 * * [simplify]: iteration 3 : 1950 enodes (cost 564 ) 1.457 * * [simplify]: iteration done : 5000 enodes (cost 564 ) 1.457 * [simplify]: Simplified to: (exp (- (/ 1.0 x) (/ 1.0 (tan x)))) (log (- (/ 1.0 x) (/ 1.0 (tan x)))) (exp (- (/ 1.0 x) (/ 1.0 (tan x)))) (* (cbrt (- (/ 1.0 x) (/ 1.0 (tan x)))) (cbrt (- (/ 1.0 x) (/ 1.0 (tan x))))) (cbrt (- (/ 1.0 x) (/ 1.0 (tan x)))) (pow (- (/ 1.0 x) (/ 1.0 (tan x))) 3) (sqrt (- (/ 1.0 x) (/ 1.0 (tan x)))) (sqrt (- (/ 1.0 x) (/ 1.0 (tan x)))) (* 1.0 (- (tan x) x)) (* x (tan x)) (- (pow (/ 1.0 x) 3) (pow (/ 1.0 (tan x)) 3)) (+ (* (/ 1.0 (tan x)) (+ (/ 1.0 x) (/ 1.0 (tan x)))) (* (/ 1.0 x) (/ 1.0 x))) (- (/ 1.0 (tan x))) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ 1.0 (tan x)) (/ 1.0 (tan x)))) (+ (/ 1.0 x) (/ 1.0 (tan x))) (+ (sqrt (/ 1.0 x)) (sqrt (/ 1.0 (tan x)))) (- (sqrt (/ 1.0 x)) (sqrt (/ 1.0 (tan x)))) (+ (sqrt (/ 1.0 x)) (/ (sqrt 1.0) (sqrt (tan x)))) (- (sqrt (/ 1.0 x)) (/ (sqrt 1.0) (sqrt (tan x)))) (+ (/ (sqrt 1.0) (sqrt x)) (sqrt (/ 1.0 (tan x)))) (- (/ (sqrt 1.0) (sqrt x)) (sqrt (/ 1.0 (tan x)))) (+ (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt (tan x)))) (- (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt (tan x)))) (- (/ (cbrt 1.0) x) (/ (cbrt 1.0) (tan x))) (- (/ (sqrt 1.0) x) (/ (sqrt 1.0) (tan x))) (- (/ 1.0 x) (/ 1.0 (tan x))) (- (/ 1.0 x) (/ 1.0 (tan x))) (- (/ 1 x) (/ 1 (tan x))) (- (/ 1.0 (tan x))) (log (/ 1.0 (tan x))) (log (/ 1.0 (tan x))) (exp (/ 1.0 (tan x))) (pow (/ 1.0 (tan x)) 3) (* (cbrt (/ 1.0 (tan x))) (cbrt (/ 1.0 (tan x)))) (cbrt (/ 1.0 (tan x))) (pow (/ 1.0 (tan x)) 3) (sqrt (/ 1.0 (tan x))) (sqrt (/ 1.0 (tan x))) (- 1.0) (- (tan x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (tan x)) (cbrt (tan x)))) (/ (cbrt 1.0) (cbrt (tan x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (tan x))) (/ (cbrt 1.0) (sqrt (tan x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (tan x)) (/ (sqrt 1.0) (* (cbrt (tan x)) (cbrt (tan x)))) (/ (sqrt 1.0) (cbrt (tan x))) (/ (sqrt 1.0) (sqrt (tan x))) (/ (sqrt 1.0) (sqrt (tan x))) (sqrt 1.0) (/ (sqrt 1.0) (tan x)) (/ 1 (* (cbrt (tan x)) (cbrt (tan x)))) (/ 1.0 (cbrt (tan x))) (/ 1 (sqrt (tan x))) (/ 1.0 (sqrt (tan x))) 1 (/ 1.0 (tan x)) (/ 1 (tan x)) (/ (tan x) 1.0) (/ 1.0 (* (cbrt (tan x)) (cbrt (tan x)))) (/ 1.0 (sqrt (tan x))) 1.0 (/ (tan x) (cbrt 1.0)) (/ (tan x) (sqrt 1.0)) (/ (tan x) 1.0) (/ 1.0 (sin x)) (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))) (* 1.0 (- (/ 1 x) (/ (cos x) (sin x)))) (* 1.0 (- (/ 1 x) (/ (cos x) (sin x)))) (- (/ 1.0 x) (+ (* 0.022222222222222227 (pow x 3)) (* 0.3333333333333333 x))) (* 1.0 (/ (cos x) (sin x))) (* 1.0 (/ (cos x) (sin x))) 1.458 * * * [progress]: adding candidates to table 1.567 * * [progress]: iteration 2 / 4 1.567 * * * [progress]: picking best candidate 1.569 * * * * [pick]: Picked # 1.569 * * * [progress]: localizing error 1.578 * * * [progress]: generating rewritten candidates 1.579 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 1.585 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 1.592 * * * [progress]: generating series expansions 1.592 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 1.592 * [approximate]: Taking taylor expansion of (* 0.022222222222222223 (pow x 3)) in (x) around 0 1.592 * [taylor]: Taking taylor expansion of (* 0.022222222222222223 (pow x 3)) in x 1.592 * [taylor]: Taking taylor expansion of 0.022222222222222223 in x 1.592 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.592 * [taylor]: Taking taylor expansion of x in x 1.592 * [taylor]: Taking taylor expansion of (* 0.022222222222222223 (pow x 3)) in x 1.592 * [taylor]: Taking taylor expansion of 0.022222222222222223 in x 1.592 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.592 * [taylor]: Taking taylor expansion of x in x 1.604 * [approximate]: Taking taylor expansion of (/ 0.022222222222222223 (pow x 3)) in (x) around 0 1.604 * [taylor]: Taking taylor expansion of (/ 0.022222222222222223 (pow x 3)) in x 1.604 * [taylor]: Taking taylor expansion of 0.022222222222222223 in x 1.604 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.604 * [taylor]: Taking taylor expansion of x in x 1.605 * [taylor]: Taking taylor expansion of (/ 0.022222222222222223 (pow x 3)) in x 1.605 * [taylor]: Taking taylor expansion of 0.022222222222222223 in x 1.605 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.605 * [taylor]: Taking taylor expansion of x in x 1.618 * [approximate]: Taking taylor expansion of (/ -0.022222222222222223 (pow x 3)) in (x) around 0 1.618 * [taylor]: Taking taylor expansion of (/ -0.022222222222222223 (pow x 3)) in x 1.618 * [taylor]: Taking taylor expansion of -0.022222222222222223 in x 1.618 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.618 * [taylor]: Taking taylor expansion of x in x 1.618 * [taylor]: Taking taylor expansion of (/ -0.022222222222222223 (pow x 3)) in x 1.618 * [taylor]: Taking taylor expansion of -0.022222222222222223 in x 1.618 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.618 * [taylor]: Taking taylor expansion of x in x 1.629 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 1.629 * [approximate]: Taking taylor expansion of (* 0.0021164021164021165 (pow x 5)) in (x) around 0 1.629 * [taylor]: Taking taylor expansion of (* 0.0021164021164021165 (pow x 5)) in x 1.629 * [taylor]: Taking taylor expansion of 0.0021164021164021165 in x 1.629 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.629 * [taylor]: Taking taylor expansion of x in x 1.629 * [taylor]: Taking taylor expansion of (* 0.0021164021164021165 (pow x 5)) in x 1.629 * [taylor]: Taking taylor expansion of 0.0021164021164021165 in x 1.629 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.629 * [taylor]: Taking taylor expansion of x in x 1.644 * [approximate]: Taking taylor expansion of (/ 0.0021164021164021165 (pow x 5)) in (x) around 0 1.644 * [taylor]: Taking taylor expansion of (/ 0.0021164021164021165 (pow x 5)) in x 1.644 * [taylor]: Taking taylor expansion of 0.0021164021164021165 in x 1.644 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.644 * [taylor]: Taking taylor expansion of x in x 1.645 * [taylor]: Taking taylor expansion of (/ 0.0021164021164021165 (pow x 5)) in x 1.645 * [taylor]: Taking taylor expansion of 0.0021164021164021165 in x 1.645 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.645 * [taylor]: Taking taylor expansion of x in x 1.659 * [approximate]: Taking taylor expansion of (/ -0.0021164021164021165 (pow x 5)) in (x) around 0 1.659 * [taylor]: Taking taylor expansion of (/ -0.0021164021164021165 (pow x 5)) in x 1.659 * [taylor]: Taking taylor expansion of -0.0021164021164021165 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 (/ -0.0021164021164021165 (pow x 5)) in x 1.660 * [taylor]: Taking taylor expansion of -0.0021164021164021165 in x 1.660 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.660 * [taylor]: Taking taylor expansion of x in x 1.674 * * * [progress]: simplifying candidates 1.675 * [simplify]: Simplifying using # : (+ (log 0.022222222222222223) (* (log x) 3)) (+ (log 0.022222222222222223) (* (log x) 3)) (+ (log 0.022222222222222223) (log (pow x 3))) (log (* 0.022222222222222223 (pow x 3))) (exp (* 0.022222222222222223 (pow x 3))) (* (* (* 0.022222222222222223 0.022222222222222223) 0.022222222222222223) (* (* (pow x 3) (pow x 3)) (pow x 3))) (* (cbrt (* 0.022222222222222223 (pow x 3))) (cbrt (* 0.022222222222222223 (pow x 3)))) (cbrt (* 0.022222222222222223 (pow x 3))) (* (* (* 0.022222222222222223 (pow x 3)) (* 0.022222222222222223 (pow x 3))) (* 0.022222222222222223 (pow x 3))) (sqrt (* 0.022222222222222223 (pow x 3))) (sqrt (* 0.022222222222222223 (pow x 3))) (* (sqrt 0.022222222222222223) (pow (sqrt x) 3)) (* (sqrt 0.022222222222222223) (pow (sqrt x) 3)) (* (sqrt 0.022222222222222223) (pow (sqrt x) 3)) (* (sqrt 0.022222222222222223) (pow (sqrt x) 3)) (* (sqrt 0.022222222222222223) (sqrt (pow x 3))) (* (sqrt 0.022222222222222223) (sqrt (pow x 3))) (* (sqrt 0.022222222222222223) (pow x (/ 3 2))) (* (sqrt 0.022222222222222223) (pow x (/ 3 2))) (* 0.022222222222222223 (pow (* (cbrt x) (cbrt x)) 3)) (* 0.022222222222222223 (pow (sqrt x) 3)) (* 0.022222222222222223 (pow 1 3)) (* 0.022222222222222223 (* x x)) (* 0.022222222222222223 (* (cbrt (pow x 3)) (cbrt (pow x 3)))) (* 0.022222222222222223 (pow (* (cbrt x) (cbrt x)) 3)) (* 0.022222222222222223 (pow (sqrt x) 3)) (* 0.022222222222222223 (pow 1 3)) (* 0.022222222222222223 x) (* 0.022222222222222223 (sqrt (pow x 3))) (* 0.022222222222222223 1) (* 0.022222222222222223 (pow x (/ 3 2))) (* (cbrt 0.022222222222222223) (pow x 3)) (* (sqrt 0.022222222222222223) (pow x 3)) (* 0.022222222222222223 (pow x 3)) (+ (log 0.0021164021164021165) (* (log x) 5)) (+ (log 0.0021164021164021165) (* (log x) 5)) (+ (log 0.0021164021164021165) (log (pow x 5))) (log (* 0.0021164021164021165 (pow x 5))) (exp (* 0.0021164021164021165 (pow x 5))) (* (* (* 0.0021164021164021165 0.0021164021164021165) 0.0021164021164021165) (* (* (pow x 5) (pow x 5)) (pow x 5))) (* (cbrt (* 0.0021164021164021165 (pow x 5))) (cbrt (* 0.0021164021164021165 (pow x 5)))) (cbrt (* 0.0021164021164021165 (pow x 5))) (* (* (* 0.0021164021164021165 (pow x 5)) (* 0.0021164021164021165 (pow x 5))) (* 0.0021164021164021165 (pow x 5))) (sqrt (* 0.0021164021164021165 (pow x 5))) (sqrt (* 0.0021164021164021165 (pow x 5))) (* (sqrt 0.0021164021164021165) (pow (sqrt x) 5)) (* (sqrt 0.0021164021164021165) (pow (sqrt x) 5)) (* (sqrt 0.0021164021164021165) (sqrt (pow x 5))) (* (sqrt 0.0021164021164021165) (sqrt (pow x 5))) (* (sqrt 0.0021164021164021165) (pow x (/ 5 2))) (* (sqrt 0.0021164021164021165) (pow x (/ 5 2))) (* 0.0021164021164021165 (pow (* (cbrt x) (cbrt x)) 5)) (* 0.0021164021164021165 (pow (sqrt x) 5)) (* 0.0021164021164021165 (pow 1 5)) (* 0.0021164021164021165 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 0.0021164021164021165 (sqrt (pow x 5))) (* 0.0021164021164021165 1) (* 0.0021164021164021165 (pow x (/ 5 2))) (* (cbrt 0.0021164021164021165) (pow x 5)) (* (sqrt 0.0021164021164021165) (pow x 5)) (* 0.0021164021164021165 (pow x 5)) (* 0.022222222222222223 (pow x 3)) (* 0.022222222222222223 (pow x 3)) (* 0.022222222222222223 (pow x 3)) (* 0.0021164021164021165 (pow x 5)) (* 0.0021164021164021165 (pow x 5)) (* 0.0021164021164021165 (pow x 5)) 1.677 * * [simplify]: iteration 0 : 96 enodes (cost 484 ) 1.696 * * [simplify]: iteration 1 : 221 enodes (cost 428 ) 1.752 * * [simplify]: iteration 2 : 818 enodes (cost 396 ) 2.171 * * [simplify]: iteration 3 : 3857 enodes (cost 396 ) 5.109 * * [simplify]: iteration done : 5000 enodes (cost 396 ) 5.110 * [simplify]: Simplified to: (log (* 0.022222222222222223 (pow x 3))) (log (* 0.022222222222222223 (pow x 3))) (log (* 0.022222222222222223 (pow x 3))) (log (* 0.022222222222222223 (pow x 3))) (exp (* 0.022222222222222223 (pow x 3))) (pow (* 0.022222222222222223 (pow x 3)) 3) (* (cbrt (* 0.022222222222222223 (pow x 3))) (cbrt (* 0.022222222222222223 (pow x 3)))) (cbrt (* 0.022222222222222223 (pow x 3))) (pow (* 0.022222222222222223 (pow x 3)) 3) (sqrt (* 0.022222222222222223 (pow x 3))) (sqrt (* 0.022222222222222223 (pow x 3))) (* (sqrt 0.022222222222222223) (pow (sqrt x) 3)) (* (sqrt 0.022222222222222223) (pow (sqrt x) 3)) (* (sqrt 0.022222222222222223) (pow (sqrt x) 3)) (* (sqrt 0.022222222222222223) (pow (sqrt x) 3)) (* (sqrt 0.022222222222222223) (sqrt (pow x 3))) (* (sqrt 0.022222222222222223) (sqrt (pow x 3))) (* (sqrt 0.022222222222222223) (pow x 3/2)) (* (sqrt 0.022222222222222223) (pow x 3/2)) (* 0.022222222222222223 (* x x)) (* 0.022222222222222223 (pow (sqrt x) 3)) 0.022222222222222223 (* 0.022222222222222223 (* x x)) (* 0.022222222222222223 (* x x)) (* 0.022222222222222223 (* x x)) (* 0.022222222222222223 (pow (sqrt x) 3)) 0.022222222222222223 (* 0.022222222222222223 x) (* 0.022222222222222223 (sqrt (pow x 3))) 0.022222222222222223 (* 0.022222222222222223 (pow x 3/2)) (* (cbrt 0.022222222222222223) (pow x 3)) (* (sqrt 0.022222222222222223) (pow x 3)) (* 0.022222222222222223 (pow x 3)) (log (* 0.0021164021164021165 (pow x 5))) (log (* 0.0021164021164021165 (pow x 5))) (log (* 0.0021164021164021165 (pow x 5))) (log (* 0.0021164021164021165 (pow x 5))) (exp (* 0.0021164021164021165 (pow x 5))) (pow (* 0.0021164021164021165 (pow x 5)) 3) (* (cbrt (* 0.0021164021164021165 (pow x 5))) (cbrt (* 0.0021164021164021165 (pow x 5)))) (cbrt (* 0.0021164021164021165 (pow x 5))) (pow (* 0.0021164021164021165 (pow x 5)) 3) (sqrt (* 0.0021164021164021165 (pow x 5))) (sqrt (* 0.0021164021164021165 (pow x 5))) (* (sqrt 0.0021164021164021165) (pow (sqrt x) 5)) (* (sqrt 0.0021164021164021165) (pow (sqrt x) 5)) (* (sqrt 0.0021164021164021165) (sqrt (pow x 5))) (* (sqrt 0.0021164021164021165) (sqrt (pow x 5))) (* (sqrt 0.0021164021164021165) (pow x 5/2)) (* (sqrt 0.0021164021164021165) (pow x 5/2)) (* 0.0021164021164021165 (pow (* (cbrt x) (cbrt x)) 5)) (* 0.0021164021164021165 (pow (sqrt x) 5)) 0.0021164021164021165 (* 0.0021164021164021165 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 0.0021164021164021165 (sqrt (pow x 5))) 0.0021164021164021165 (* (pow x 5/2) 0.0021164021164021165) (* (cbrt 0.0021164021164021165) (pow x 5)) (* (sqrt 0.0021164021164021165) (pow x 5)) (* 0.0021164021164021165 (pow x 5)) (* 0.022222222222222223 (pow x 3)) (* 0.022222222222222223 (pow x 3)) (* 0.022222222222222223 (pow x 3)) (* 0.0021164021164021165 (pow x 5)) (* 0.0021164021164021165 (pow x 5)) (* 0.0021164021164021165 (pow x 5)) 5.110 * * * [progress]: adding candidates to table 5.224 * [progress]: [Phase 3 of 3] Extracting. 5.226 * [simplify]: Simplifying using # : (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))) 5.226 * * [simplify]: iteration 0 : 13 enodes (cost 15 ) 5.227 * * [simplify]: iteration 1 : 18 enodes (cost 15 ) 5.227 * * [simplify]: iteration done : 18 enodes (cost 15 ) 5.227 * [simplify]: Simplified to: (+ (* 0.022222222222222223 (pow x 3)) (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))) 11.915 * [regime-testing]: End program error score: 0.34567892793869703 11.946 * [regime-testing]: Target error score: 0.10980165368851874