4.484 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.011 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (- (* x x) 1.0) 0.014 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.015 * * [simplify]: iteration 1 : 7 enodes (cost 2 ) 0.016 * * [simplify]: iteration 2 : 7 enodes (cost 2 ) 0.016 * [simplify]: Simplified to: (- (* 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 0.020 * * * [progress]: generating rewritten candidates 0.020 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.024 * * * [progress]: generating series expansions 0.024 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.024 * [approximate]: Taking taylor expansion of (- (pow x 2) 1.0) in (x) around 0 0.024 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.024 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.024 * [taylor]: Taking taylor expansion of x in x 0.024 * [taylor]: Taking taylor expansion of 1.0 in x 0.024 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.024 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.024 * [taylor]: Taking taylor expansion of x in x 0.024 * [taylor]: Taking taylor expansion of 1.0 in x 0.033 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.033 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.033 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.033 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of 1.0 in x 0.034 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of 1.0 in x 0.050 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.050 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of 1.0 in x 0.051 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of 1.0 in x 0.065 * * * [progress]: simplifying candidates 0.065 * [simplify]: Simplifying using # : (/ (exp (* x x)) (exp 1.0)) (log (- (* x x) 1.0)) (exp (- (* x x) 1.0)) (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0))) (cbrt (- (* x x) 1.0)) (* (* (- (* x x) 1.0) (- (* x x) 1.0)) (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)) (- (pow (* x x) 3) (pow 1.0 3)) (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0))) (neg 1.0) (- (* (* x x) (* x x)) (* 1.0 1.0)) (+ (* x x) 1.0) (+ x (sqrt 1.0)) (- x (sqrt 1.0)) (neg 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) 0.068 * * [simplify]: iteration 0 : 73 enodes (cost 63 ) 0.070 * * [simplify]: iteration 1 : 216 enodes (cost 56 ) 0.074 * * [simplify]: iteration 2 : 535 enodes (cost 56 ) 0.084 * * [simplify]: iteration 3 : 1794 enodes (cost 56 ) 0.123 * * [simplify]: iteration 4 : 5001 enodes (cost 56 ) 0.124 * [simplify]: Simplified to: (exp (- (* x x) 1.0)) (log (- (* x x) 1.0)) (exp (- (* x x) 1.0)) (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0))) (cbrt (- (* x x) 1.0)) (pow (- (pow x 2) 1.0) 3) (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)) (- (pow (* x x) 3) (pow 1.0 3)) (+ (+ (pow x 4) (* (* x x) 1.0)) (* 1.0 1.0)) (- 0 1.0) (+ (neg (* 1.0 1.0)) (pow x 4)) (+ (* x x) 1.0) (+ x (sqrt 1.0)) (- x (sqrt 1.0)) (- 0 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) 0.124 * * * [progress]: adding candidates to table 0.142 * * [progress]: iteration 2 / 4 0.142 * * * [progress]: picking best candidate 0.145 * * * * [pick]: Picked # 0.146 * * * [progress]: localizing error 0.150 * * * [progress]: generating rewritten candidates 0.150 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.161 * * * [progress]: generating series expansions 0.161 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.162 * [approximate]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in (x) around 0 0.162 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.162 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.163 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.163 * [taylor]: Taking taylor expansion of 1.0 in x 0.164 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.164 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.164 * [taylor]: Taking taylor expansion of 1.0 in x 0.164 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.164 * [taylor]: Taking taylor expansion of 1.0 in x 0.197 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in (x) around 0 0.197 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.197 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.198 * [taylor]: Taking taylor expansion of 1.0 in x 0.198 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.198 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.198 * [taylor]: Taking taylor expansion of 1.0 in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.199 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.200 * [taylor]: Taking taylor expansion of 1.0 in x 0.200 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.200 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.200 * [taylor]: Taking taylor expansion of 1.0 in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.238 * [approximate]: Taking taylor expansion of (* -1 (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 0.238 * [taylor]: Taking taylor expansion of (* -1 (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.238 * [taylor]: Taking taylor expansion of -1 in x 0.238 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 0.238 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.238 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.238 * [taylor]: Taking taylor expansion of 1.0 in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.239 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.239 * [taylor]: Taking taylor expansion of 1.0 in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (* -1 (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.240 * [taylor]: Taking taylor expansion of -1 in x 0.240 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 0.240 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.240 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.240 * [taylor]: Taking taylor expansion of 1.0 in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.241 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.241 * [taylor]: Taking taylor expansion of 1.0 in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.288 * * * [progress]: simplifying candidates 0.289 * [simplify]: Simplifying using # : (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (+ (log (+ x (sqrt 1.0))) (log (- x (sqrt 1.0)))) (log (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (exp (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (* (* (* (+ x (sqrt 1.0)) (+ x (sqrt 1.0))) (+ x (sqrt 1.0))) (* (* (- x (sqrt 1.0)) (- x (sqrt 1.0))) (- x (sqrt 1.0)))) (* (cbrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (cbrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) (cbrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (* (* (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (* (+ (pow x 3) (pow (sqrt 1.0) 3)) (- (pow x 3) (pow (sqrt 1.0) 3))) (* (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))) (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (* (+ (pow x 3) (pow (sqrt 1.0) 3)) (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (* (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))) (+ x (sqrt 1.0))) (* (- (* x x) (* (sqrt 1.0) (sqrt 1.0))) (- (pow x 3) (pow (sqrt 1.0) 3))) (* (- x (sqrt 1.0)) (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (* (- (* x x) (* (sqrt 1.0) (sqrt 1.0))) (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (* (- x (sqrt 1.0)) (+ x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (+ x (sqrt 1.0)) x) (* (+ x (sqrt 1.0)) (neg (sqrt 1.0))) (* (+ x (sqrt 1.0)) x) (* (+ x (sqrt 1.0)) (neg (sqrt 1.0))) (* x (+ x (sqrt 1.0))) (* (neg (sqrt 1.0)) (+ x (sqrt 1.0))) (* x (+ x (sqrt 1.0))) (* (neg (sqrt 1.0)) (+ x (sqrt 1.0))) (* (+ x (sqrt 1.0)) (* (cbrt (- x (sqrt 1.0))) (cbrt (- x (sqrt 1.0))))) (* (+ x (sqrt 1.0)) (sqrt (- x (sqrt 1.0)))) (* (+ x (sqrt 1.0)) 1) (* (+ x (sqrt 1.0)) (+ (sqrt x) (sqrt (sqrt 1.0)))) (* (+ x (sqrt 1.0)) (+ (sqrt x) (sqrt (sqrt 1.0)))) (* (+ x (sqrt 1.0)) 1) (* (cbrt (+ x (sqrt 1.0))) (- x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (- x (sqrt 1.0))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (* (+ x (sqrt 1.0)) (- (pow x 3) (pow (sqrt 1.0) 3))) (* (+ x (sqrt 1.0)) (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (* (+ (pow x 3) (pow (sqrt 1.0) 3)) (- x (sqrt 1.0))) (* (- (* x x) (* (sqrt 1.0) (sqrt 1.0))) (- x (sqrt 1.0))) (- (pow x 2) (pow (sqrt 1.0) 2)) (- (pow x 2) (pow (sqrt 1.0) 2)) (- (pow x 2) (pow (sqrt 1.0) 2)) 0.292 * * [simplify]: iteration 0 : 197 enodes (cost 285 ) 0.297 * * [simplify]: iteration 1 : 989 enodes (cost 253 ) 0.316 * * [simplify]: iteration 2 : 5001 enodes (cost 245 ) 0.318 * [simplify]: Simplified to: (+ (pow x 2) (neg 1.0)) (log (+ (pow x 2) (neg 1.0))) (log (+ (pow x 2) (neg 1.0))) (/ (exp (pow x 2)) (exp 1.0)) (pow (+ (pow x 2) (neg 1.0)) 3) (* (cbrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (cbrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) (cbrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (pow (+ (pow x 2) (neg 1.0)) 3) (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (* (+ (pow x 3) (pow (sqrt 1.0) 3)) (- (pow x 3) (pow (sqrt 1.0) 3))) (* (+ (+ (pow x 2) 1.0) (* x (sqrt 1.0))) (- (+ (pow x 2) 1.0) (* x (sqrt 1.0)))) (* (+ (pow x 2) (neg 1.0)) (+ (pow x 3) (pow (sqrt 1.0) 3))) (* (+ x (sqrt 1.0)) (- (+ (pow x 2) 1.0) (* x (sqrt 1.0)))) (* (- (pow x 3) (pow (sqrt 1.0) 3)) (+ (pow x 2) (neg 1.0))) (* (+ (+ (pow x 2) 1.0) (* x (sqrt 1.0))) (- x (sqrt 1.0))) (* (+ (pow x 2) (neg 1.0)) (+ (pow x 2) (neg 1.0))) (+ (pow x 2) (neg 1.0)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* x (+ x (sqrt 1.0))) (* -1 (+ (* x (sqrt 1.0)) 1.0)) (* x (+ x (sqrt 1.0))) (* -1 (+ (* x (sqrt 1.0)) 1.0)) (* x (+ x (sqrt 1.0))) (* -1 (+ (* x (sqrt 1.0)) 1.0)) (* x (+ x (sqrt 1.0))) (* -1 (+ (* x (sqrt 1.0)) 1.0)) (* (+ x (sqrt 1.0)) (* (cbrt (- x (sqrt 1.0))) (cbrt (- x (sqrt 1.0))))) (* (+ x (sqrt 1.0)) (sqrt (- x (sqrt 1.0)))) (+ x (sqrt 1.0)) (* (+ x (sqrt 1.0)) (+ (sqrt x) (sqrt (sqrt 1.0)))) (* (+ x (sqrt 1.0)) (+ (sqrt x) (sqrt (sqrt 1.0)))) (+ x (sqrt 1.0)) (* (cbrt (+ x (sqrt 1.0))) (- x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (- x (sqrt 1.0))) (+ (pow x 2) (neg 1.0)) (+ (pow x 2) (neg 1.0)) (* (+ x (sqrt 1.0)) (- (pow x 3) (pow (sqrt 1.0) 3))) (* (+ (pow x 2) (neg 1.0)) (+ x (sqrt 1.0))) (* (+ (pow x 3) (pow (sqrt 1.0) 3)) (- x (sqrt 1.0))) (* (- x (sqrt 1.0)) (+ (pow x 2) (neg 1.0))) (+ (pow x 2) (neg 1.0)) (+ (pow x 2) (neg 1.0)) (+ (pow x 2) (neg 1.0)) 0.318 * * * [progress]: adding candidates to table 0.370 * * [progress]: iteration 3 / 4 0.370 * * * [progress]: picking best candidate 0.372 * * * * [pick]: Picked # 0.372 * * * [progress]: localizing error 0.379 * * * [progress]: generating rewritten candidates 0.379 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.385 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.391 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.399 * * * [progress]: generating series expansions 0.399 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.400 * [approximate]: Taking taylor expansion of (- (pow x 2) 1.0) in (x) around 0 0.400 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.400 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.400 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.408 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.408 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of 1.0 in x 0.409 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of 1.0 in x 0.427 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.427 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of 1.0 in x 0.428 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.428 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of 1.0 in x 0.441 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.441 * [approximate]: Taking taylor expansion of (pow (- (pow x 2) 1.0) 3) in (x) around 0 0.442 * [taylor]: Taking taylor expansion of (pow (- (pow x 2) 1.0) 3) in x 0.442 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of 1.0 in x 0.442 * [taylor]: Taking taylor expansion of (pow (- (pow x 2) 1.0) 3) in x 0.442 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of 1.0 in x 0.460 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) 1.0) 3) in (x) around 0 0.460 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) 1.0) 3) 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 0.460 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) 1.0) 3) in x 0.461 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of 1.0 in x 0.482 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) 1.0) 3) in (x) around 0 0.482 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) 1.0) 3) in x 0.482 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.482 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of 1.0 in x 0.483 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) 1.0) 3) in x 0.483 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.483 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.510 * [approximate]: Taking taylor expansion of (- (pow x 2) 1.0) in (x) around 0 0.510 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.510 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.510 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.519 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.519 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.519 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of 1.0 in x 0.519 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.519 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of 1.0 in x 0.533 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.533 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.533 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of 1.0 in x 0.534 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.534 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of 1.0 in x 0.548 * * * [progress]: simplifying candidates 0.549 * [simplify]: Simplifying using # : (log (cbrt (pow (- (pow x 2) 1.0) 3))) (exp (cbrt (pow (- (pow x 2) 1.0) 3))) (cbrt (pow (* (cbrt (- (pow x 2) 1.0)) (cbrt (- (pow x 2) 1.0))) 3)) (cbrt (pow (cbrt (- (pow x 2) 1.0)) 3)) (cbrt (pow (sqrt (- (pow x 2) 1.0)) 3)) (cbrt (pow (sqrt (- (pow x 2) 1.0)) 3)) (cbrt (pow 1 3)) (cbrt (pow (- (pow x 2) 1.0) 3)) (cbrt (pow (+ (pow (sqrt x) 2) (sqrt 1.0)) 3)) (cbrt (pow (- (pow (sqrt x) 2) (sqrt 1.0)) 3)) (cbrt (pow (+ x (sqrt 1.0)) 3)) (cbrt (pow (- x (sqrt 1.0)) 3)) (cbrt (pow (+ (sqrt (pow x 2)) (sqrt 1.0)) 3)) (cbrt (pow (- (sqrt (pow x 2)) (sqrt 1.0)) 3)) (cbrt (pow (+ (pow x (/ 2 2)) (sqrt 1.0)) 3)) (cbrt (pow (- (pow x (/ 2 2)) (sqrt 1.0)) 3)) (cbrt (pow 1 3)) (cbrt (pow (- (pow x 2) 1.0) 3)) (cbrt (* (- (pow x 2) 1.0) (- (pow x 2) 1.0))) (cbrt (- (pow x 2) 1.0)) (cbrt (* (cbrt (pow (- (pow x 2) 1.0) 3)) (cbrt (pow (- (pow x 2) 1.0) 3)))) (cbrt (cbrt (pow (- (pow x 2) 1.0) 3))) (cbrt (pow (* (cbrt (- (pow x 2) 1.0)) (cbrt (- (pow x 2) 1.0))) 3)) (cbrt (pow (cbrt (- (pow x 2) 1.0)) 3)) (cbrt (pow (sqrt (- (pow x 2) 1.0)) 3)) (cbrt (pow (sqrt (- (pow x 2) 1.0)) 3)) (cbrt (pow 1 3)) (cbrt (pow (- (pow x 2) 1.0) 3)) (cbrt (pow (+ (pow (sqrt x) 2) (sqrt 1.0)) 3)) (cbrt (pow (- (pow (sqrt x) 2) (sqrt 1.0)) 3)) (cbrt (pow (+ x (sqrt 1.0)) 3)) (cbrt (pow (- x (sqrt 1.0)) 3)) (cbrt (pow (+ (sqrt (pow x 2)) (sqrt 1.0)) 3)) (cbrt (pow (- (sqrt (pow x 2)) (sqrt 1.0)) 3)) (cbrt (pow (+ (pow x (/ 2 2)) (sqrt 1.0)) 3)) (cbrt (pow (- (pow x (/ 2 2)) (sqrt 1.0)) 3)) (cbrt (pow 1 3)) (cbrt (pow (- (pow x 2) 1.0) 3)) (cbrt (- (pow x 2) 1.0)) (cbrt (* (- (pow x 2) 1.0) (- (pow x 2) 1.0))) (cbrt (sqrt (pow (- (pow x 2) 1.0) 3))) (cbrt (sqrt (pow (- (pow x 2) 1.0) 3))) (cbrt 1) (cbrt (pow (- (pow x 2) 1.0) 3)) (cbrt (pow (- (pow x 2) 1.0) (/ 3 2))) (cbrt (pow (- (pow x 2) 1.0) (/ 3 2))) (cbrt (pow (- (pow (pow x 2) 3) (pow 1.0 3)) 3)) (cbrt (pow (+ (* (pow x 2) (pow x 2)) (+ (* 1.0 1.0) (* (pow x 2) 1.0))) 3)) (cbrt (pow (- (* (pow x 2) (pow x 2)) (* 1.0 1.0)) 3)) (cbrt (pow (+ (pow x 2) 1.0) 3)) (* (cbrt (cbrt (pow (- (pow x 2) 1.0) 3))) (cbrt (cbrt (pow (- (pow x 2) 1.0) 3)))) (cbrt (cbrt (pow (- (pow x 2) 1.0) 3))) (* (* (cbrt (pow (- (pow x 2) 1.0) 3)) (cbrt (pow (- (pow x 2) 1.0) 3))) (cbrt (pow (- (pow x 2) 1.0) 3))) (sqrt (cbrt (pow (- (pow x 2) 1.0) 3))) (sqrt (cbrt (pow (- (pow x 2) 1.0) 3))) (* (log (- (pow x 2) 1.0)) 3) (* (log (- (pow x 2) 1.0)) 3) (* 1 3) (pow (- (pow x 2) 1.0) (* (cbrt 3) (cbrt 3))) (pow (- (pow x 2) 1.0) (sqrt 3)) (pow (- (pow x 2) 1.0) 1) (pow (* (cbrt (- (pow x 2) 1.0)) (cbrt (- (pow x 2) 1.0))) 3) (pow (cbrt (- (pow x 2) 1.0)) 3) (pow (sqrt (- (pow x 2) 1.0)) 3) (pow (sqrt (- (pow x 2) 1.0)) 3) (pow 1 3) (pow (- (pow x 2) 1.0) 3) (pow (+ (pow (sqrt x) 2) (sqrt 1.0)) 3) (pow (- (pow (sqrt x) 2) (sqrt 1.0)) 3) (pow (+ x (sqrt 1.0)) 3) (pow (- x (sqrt 1.0)) 3) (pow (+ (sqrt (pow x 2)) (sqrt 1.0)) 3) (pow (- (sqrt (pow x 2)) (sqrt 1.0)) 3) (pow (+ (pow x (/ 2 2)) (sqrt 1.0)) 3) (pow (- (pow x (/ 2 2)) (sqrt 1.0)) 3) (pow 1 3) (pow (- (pow x 2) 1.0) 3) (* (- (pow x 2) 1.0) (- (pow x 2) 1.0)) (log (pow (- (pow x 2) 1.0) 3)) (exp (pow (- (pow x 2) 1.0) 3)) (* (cbrt (pow (- (pow x 2) 1.0) 3)) (cbrt (pow (- (pow x 2) 1.0) 3))) (cbrt (pow (- (pow x 2) 1.0) 3)) (* (* (pow (- (pow x 2) 1.0) 3) (pow (- (pow x 2) 1.0) 3)) (pow (- (pow x 2) 1.0) 3)) (pow (* (cbrt (- (pow x 2) 1.0)) (cbrt (- (pow x 2) 1.0))) 3) (pow (cbrt (- (pow x 2) 1.0)) 3) (pow (sqrt (- (pow x 2) 1.0)) 3) (pow (sqrt (- (pow x 2) 1.0)) 3) (pow 1 3) (pow (- (pow x 2) 1.0) 3) (pow (+ (pow (sqrt x) 2) (sqrt 1.0)) 3) (pow (- (pow (sqrt x) 2) (sqrt 1.0)) 3) (pow (+ x (sqrt 1.0)) 3) (pow (- x (sqrt 1.0)) 3) (pow (+ (sqrt (pow x 2)) (sqrt 1.0)) 3) (pow (- (sqrt (pow x 2)) (sqrt 1.0)) 3) (pow (+ (pow x (/ 2 2)) (sqrt 1.0)) 3) (pow (- (pow x (/ 2 2)) (sqrt 1.0)) 3) (pow 1 3) (pow (- (pow x 2) 1.0) 3) (pow (- (pow (pow x 2) 3) (pow 1.0 3)) 3) (pow (+ (* (pow x 2) (pow x 2)) (+ (* 1.0 1.0) (* (pow x 2) 1.0))) 3) (pow (- (* (pow x 2) (pow x 2)) (* 1.0 1.0)) 3) (pow (+ (pow x 2) 1.0) 3) (* (- (pow x 2) 1.0) (- (pow x 2) 1.0)) (sqrt (pow (- (pow x 2) 1.0) 3)) (sqrt (pow (- (pow x 2) 1.0) 3)) (pow (- (pow x 2) 1.0) (/ 3 2)) (pow (- (pow x 2) 1.0) (/ 3 2)) (/ (exp (pow x 2)) (exp 1.0)) (log (- (pow x 2) 1.0)) (exp (- (pow x 2) 1.0)) (* (cbrt (- (pow x 2) 1.0)) (cbrt (- (pow x 2) 1.0))) (cbrt (- (pow x 2) 1.0)) (* (* (- (pow x 2) 1.0) (- (pow x 2) 1.0)) (- (pow x 2) 1.0)) (sqrt (- (pow x 2) 1.0)) (sqrt (- (pow x 2) 1.0)) (- (pow (pow x 2) 3) (pow 1.0 3)) (+ (* (pow x 2) (pow x 2)) (+ (* 1.0 1.0) (* (pow x 2) 1.0))) (neg 1.0) (- (* (pow x 2) (pow x 2)) (* 1.0 1.0)) (+ (pow x 2) 1.0) (+ (pow (sqrt x) 2) (sqrt 1.0)) (- (pow (sqrt x) 2) (sqrt 1.0)) (+ x (sqrt 1.0)) (- x (sqrt 1.0)) (+ (sqrt (pow x 2)) (sqrt 1.0)) (- (sqrt (pow x 2)) (sqrt 1.0)) (+ (pow x (/ 2 2)) (sqrt 1.0)) (- (pow x (/ 2 2)) (sqrt 1.0)) (- (pow x 2) 1.0) (neg 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) (- (* 3.0 (pow x 2)) (+ (* 3.0 (pow x 4)) 1.0)) (- (+ (* 3.0 (pow x 2)) (pow x 6)) (* 3.0 (pow x 4))) (- (+ (* 3.0 (pow x 2)) (pow x 6)) (* 3.0 (pow x 4))) (- (pow x 2) 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) 0.554 * * [simplify]: iteration 0 : 276 enodes (cost 469 ) 0.560 * * [simplify]: iteration 1 : 1015 enodes (cost 428 ) 0.580 * * [simplify]: iteration 2 : 5001 enodes (cost 422 ) 0.583 * [simplify]: Simplified to: (log (- (pow x 2) 1.0)) (exp (- (pow x 2) 1.0)) (cbrt (* (- (pow x 2) 1.0) (- (pow x 2) 1.0))) (cbrt (- (pow x 2) 1.0)) (sqrt (- (pow x 2) 1.0)) (sqrt (- (pow x 2) 1.0)) 1 (- (pow x 2) 1.0) (+ (sqrt 1.0) x) (- x (sqrt 1.0)) (+ (sqrt 1.0) x) (- x (sqrt 1.0)) (+ (sqrt (pow x 2)) (sqrt 1.0)) (- (sqrt (pow x 2)) (sqrt 1.0)) (+ (sqrt 1.0) x) (- x (sqrt 1.0)) 1 (- (pow x 2) 1.0) (cbrt (* (- (pow x 2) 1.0) (- (pow x 2) 1.0))) (cbrt (- (pow x 2) 1.0)) (cbrt (* (- (pow x 2) 1.0) (- (pow x 2) 1.0))) (cbrt (- (pow x 2) 1.0)) (cbrt (* (- (pow x 2) 1.0) (- (pow x 2) 1.0))) (cbrt (- (pow x 2) 1.0)) (sqrt (- (pow x 2) 1.0)) (sqrt (- (pow x 2) 1.0)) 1 (- (pow x 2) 1.0) (+ (sqrt 1.0) x) (- x (sqrt 1.0)) (+ (sqrt 1.0) x) (- x (sqrt 1.0)) (+ (sqrt (pow x 2)) (sqrt 1.0)) (- (sqrt (pow x 2)) (sqrt 1.0)) (+ (sqrt 1.0) x) (- x (sqrt 1.0)) 1 (- (pow x 2) 1.0) (cbrt (- (pow x 2) 1.0)) (cbrt (* (- (pow x 2) 1.0) (- (pow x 2) 1.0))) (cbrt (sqrt (pow (- (pow x 2) 1.0) 3))) (cbrt (sqrt (pow (- (pow x 2) 1.0) 3))) 1 (- (pow x 2) 1.0) (sqrt (- (pow x 2) 1.0)) (sqrt (- (pow x 2) 1.0)) (- (pow (pow x 2) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (pow x 2))) (pow x 4)) (- (pow x 4) (* 1.0 1.0)) (+ (pow x 2) 1.0) (cbrt (* (- (pow x 2) 1.0) (- (pow x 2) 1.0))) (cbrt (- (pow x 2) 1.0)) (pow (- (pow x 2) 1.0) 3) (sqrt (- (pow x 2) 1.0)) (sqrt (- (pow x 2) 1.0)) (log (pow (- (pow x 2) 1.0) 3)) (log (pow (- (pow x 2) 1.0) 3)) 3 (pow (- (pow x 2) 1.0) (* (cbrt 3) (cbrt 3))) (pow (- (pow x 2) 1.0) (sqrt 3)) (- (pow x 2) 1.0) (pow (- (pow x 2) 1.0) 2) (- (pow x 2) 1.0) (pow (- (pow x 2) 1.0) 3/2) (pow (- (pow x 2) 1.0) 3/2) 1 (pow (- (pow x 2) 1.0) 3) (pow (+ x (sqrt 1.0)) 3) (pow (- x (sqrt 1.0)) 3) (pow (+ x (sqrt 1.0)) 3) (pow (- x (sqrt 1.0)) 3) (pow (+ (sqrt (pow x 2)) (sqrt 1.0)) 3) (pow (- (sqrt (pow x 2)) (sqrt 1.0)) 3) (pow (+ x (sqrt 1.0)) 3) (pow (- x (sqrt 1.0)) 3) 1 (pow (- (pow x 2) 1.0) 3) (pow (- (pow x 2) 1.0) 2) (log (pow (- (pow x 2) 1.0) 3)) (exp (pow (- (pow x 2) 1.0) 3)) (pow (- (pow x 2) 1.0) 2) (- (pow x 2) 1.0) (pow (pow (- (pow x 2) 1.0) 3) 3) (pow (- (pow x 2) 1.0) 2) (- (pow x 2) 1.0) (pow (- (pow x 2) 1.0) 3/2) (pow (- (pow x 2) 1.0) 3/2) 1 (pow (- (pow x 2) 1.0) 3) (pow (+ x (sqrt 1.0)) 3) (pow (- x (sqrt 1.0)) 3) (pow (+ x (sqrt 1.0)) 3) (pow (- x (sqrt 1.0)) 3) (pow (+ (sqrt (pow x 2)) (sqrt 1.0)) 3) (pow (- (sqrt (pow x 2)) (sqrt 1.0)) 3) (pow (+ x (sqrt 1.0)) 3) (pow (- x (sqrt 1.0)) 3) 1 (pow (- (pow x 2) 1.0) 3) (pow (- (pow (pow x 2) 3) (pow 1.0 3)) 3) (pow (+ (* 1.0 (+ 1.0 (pow x 2))) (pow x 4)) 3) (pow (+ (pow x 4) (neg (* 1.0 1.0))) 3) (pow (+ (pow x 2) 1.0) 3) (pow (- (pow x 2) 1.0) 2) (sqrt (pow (- (pow x 2) 1.0) 3)) (sqrt (pow (- (pow x 2) 1.0) 3)) (pow (- (pow x 2) 1.0) 3/2) (pow (- (pow x 2) 1.0) 3/2) (exp (- (pow x 2) 1.0)) (log (- (pow x 2) 1.0)) (exp (- (pow x 2) 1.0)) (cbrt (* (- (pow x 2) 1.0) (- (pow x 2) 1.0))) (cbrt (- (pow x 2) 1.0)) (pow (- (pow x 2) 1.0) 3) (sqrt (- (pow x 2) 1.0)) (sqrt (- (pow x 2) 1.0)) (- (pow (pow x 2) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (pow x 2))) (pow x 4)) (neg 1.0) (- (pow x 4) (* 1.0 1.0)) (+ (pow x 2) 1.0) (+ (sqrt 1.0) x) (- x (sqrt 1.0)) (+ (sqrt 1.0) x) (- x (sqrt 1.0)) (+ (sqrt (pow x 2)) (sqrt 1.0)) (- (sqrt (pow x 2)) (sqrt 1.0)) (+ (sqrt 1.0) x) (- x (sqrt 1.0)) (- (pow x 2) 1.0) (neg 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) (- (* 3.0 (pow x 2)) (+ (* 3.0 (pow x 4)) 1.0)) (+ (pow x 6) (* 3.0 (- (pow x 2) (pow x 4)))) (+ (pow x 6) (* 3.0 (- (pow x 2) (pow x 4)))) (- (pow x 2) 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) 0.583 * * * [progress]: adding candidates to table 0.683 * [progress]: [Phase 3 of 3] Extracting. 0.684 * * [regime]: Finding splitpoints for: (# # #) 0.684 * * * [regime-changes]: Trying 3 branch expressions: ((* x x) (- (* x x) 1.0) x) 0.684 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 0.694 * * * * [regimes]: Trying to branch on (- (* x x) 1.0) from (# # #) 0.703 * * * * [regimes]: Trying to branch on x from (# # #) 0.717 * * * [regime]: Found split indices: #