13.069 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (sqrt (- 1.0 (* x x))) 0.022 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.024 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.025 * * [simplify]: iteration 2 : 11 enodes (cost 3 ) 0.025 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.027 * * * * [pick]: Picked # 0.027 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.033 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.036 * * * [progress]: generating series expansions 0.036 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.036 * [approximate]: Taking taylor expansion of (- 1.0 (pow x 2)) in (x) around 0 0.036 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.036 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.036 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.044 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in (x) around 0 0.044 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.044 * [taylor]: Taking taylor expansion of 1.0 in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.058 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in (x) around 0 0.058 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.073 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.073 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.073 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.073 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.074 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.074 * [taylor]: Taking taylor expansion of 1.0 in x 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.088 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.088 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.088 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.091 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.091 * [taylor]: Taking taylor expansion of 1.0 in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.111 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.112 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.112 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.112 * [taylor]: Taking taylor expansion of 1.0 in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.114 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.114 * [taylor]: Taking taylor expansion of 1.0 in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.132 * * * [progress]: simplifying candidates 0.133 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (* x x))) (log (- 1.0 (* x x))) (exp (- 1.0 (* x x))) (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))) (cbrt (- 1.0 (* x x))) (* (* (- 1.0 (* x x)) (- 1.0 (* x x))) (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (- (pow 1.0 3) (pow (* x x) 3)) (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))) (- (* x x)) (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)) (+ (sqrt 1.0) x) (- (sqrt 1.0) x) (- (* x x)) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- 1.0 (pow x 2)) (- 1.0 (pow x 2)) (- 1.0 (pow x 2)) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.136 * * [simplify]: iteration 0 : 172 enodes (cost 188 ) 0.140 * * [simplify]: iteration 1 : 579 enodes (cost 180 ) 0.153 * * [simplify]: iteration 2 : 2851 enodes (cost 178 ) 0.220 * * [simplify]: iteration 3 : 5001 enodes (cost 177 ) 0.222 * [simplify]: Simplified to: (exp (- 1.0 (* x x))) (log (- 1.0 (* x x))) (exp (- 1.0 (* x x))) (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))) (cbrt (- 1.0 (* x x))) (pow (- 1.0 (* x x)) 3) (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (- (pow 1.0 3) (pow (* x x) 3)) (+ (* 1.0 (+ (pow x 2) 1.0)) (pow x 4)) (- (* x x)) (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)) (+ (sqrt 1.0) x) (- (sqrt 1.0) x) (- (* x x)) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (pow (sqrt (- 1.0 (* x x))) 3) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- 1.0 (* x x)) (- 1.0 (* x x)) (- 1.0 (* x x)) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (+ (- (* x (sqrt -1)) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (/ (/ 0.5 (sqrt -1)) x)) (- (/ (/ 0.125 (pow (sqrt -1) 3)) (pow x 3)) (- (/ (/ 0.5 (sqrt -1)) x) (- (* x (sqrt -1))))) 0.222 * * * [progress]: adding candidates to table 0.293 * * [progress]: iteration 2 / 4 0.293 * * * [progress]: picking best candidate 0.297 * * * * [pick]: Picked # 0.297 * * * [progress]: localizing error 0.305 * * * [progress]: generating rewritten candidates 0.305 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1 2) 0.318 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.328 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.340 * * * [progress]: generating series expansions 0.340 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1 2) 0.340 * [approximate]: Taking taylor expansion of (pow x 4) in (x) around 0 0.340 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.348 * [approximate]: Taking taylor expansion of (/ 1 (pow x 4)) in (x) around 0 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.348 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.359 * [approximate]: Taking taylor expansion of (/ 1 (pow x 4)) in (x) around 0 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.359 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.360 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.370 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.371 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in (x) around 0 0.371 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in x 0.371 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 0.371 * [taylor]: Taking taylor expansion of 1.0 in x 0.371 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in x 0.375 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 0.375 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.400 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.400 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.400 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of 1.0 in x 0.402 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.402 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.402 * [taylor]: Taking taylor expansion of 1.0 in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.402 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of 1.0 in x 0.442 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.442 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.442 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.442 * [taylor]: Taking taylor expansion of 1.0 in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.442 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.443 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of 1.0 in x 0.445 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.445 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.445 * [taylor]: Taking taylor expansion of 1.0 in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.445 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.445 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of 1.0 in x 0.488 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.489 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in (x) around 0 0.489 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in x 0.489 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in x 0.489 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 0.489 * [taylor]: Taking taylor expansion of 1.0 in x 0.489 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.489 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of 1.0 in x 0.491 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in x 0.492 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in x 0.492 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 0.492 * [taylor]: Taking taylor expansion of 1.0 in x 0.492 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of 1.0 in x 0.515 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.515 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 0.515 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.515 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.515 * [taylor]: Taking taylor expansion of 1.0 in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.515 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.516 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of 1.0 in x 0.521 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 0.521 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.521 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.521 * [taylor]: Taking taylor expansion of 1.0 in x 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.521 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.522 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of 1.0 in x 0.556 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.556 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 0.556 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.556 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.556 * [taylor]: Taking taylor expansion of 1.0 in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.556 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.557 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of 1.0 in x 0.562 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 0.562 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.562 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.562 * [taylor]: Taking taylor expansion of 1.0 in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.562 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.563 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of 1.0 in x 0.596 * * * [progress]: simplifying candidates 0.598 * [simplify]: Simplifying using # : (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) 2) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) (* 2 1)) (+ 1 1) (+ 1 1) (+ 2 (+ 1 1)) (+ 2 2) (+ 2 (+ 1 1)) (+ 2 (* 2 1)) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) 2) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) (* 2 1)) (+ 1 1) (+ 1 1) (+ (* 2 1) (+ 1 1)) (+ (* 2 1) 2) (+ (* 2 1) (+ 1 1)) (+ (* 2 1) (* 2 1)) (* x x) (* x x) (* (* x x) (* x x)) (* (* x x) (* x x)) (* x x) (* x x) (* x x) (* (* x x) (* x x)) (* (* x x) (* x x)) (* x x) (+ 1 1) (+ 1 1) (+ (+ (log x) (log x)) (+ (log x) (log x))) (+ (+ (log x) (log x)) (log (* x x))) (+ (log (* x x)) (+ (log x) (log x))) (+ (log (* x x)) (log (* x x))) (log (* (* x x) (* x x))) (exp (* (* x x) (* x x))) (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))) (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x))) (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x))) (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (* (* x x) (* x x))) (cbrt (* (* x x) (* x x)))) (cbrt (* (* x x) (* x x))) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* x x) (* x x))) (sqrt (* (* x x) (* x x))) (sqrt (* (* x x) (* x x))) (* x x) (* x x) (* x x) (* x x) (* 2 (+ 1 1)) (* 2 (+ 1 1)) (* 2 1) (* 2 1) (* 2 2) (* 2 (+ 1 1)) (* 2 (+ 1 1)) (* 2 1) (* 2 1) (* 2 (* 2 1)) (* (* x x) x) (* x (* x x)) (- (log (- (* 1.0 1.0) (* (* x x) (* x x)))) (log (+ 1.0 (* x x)))) (log (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)))) (exp (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)))) (/ (* (* (- (* 1.0 1.0) (* (* x x) (* x x))) (- (* 1.0 1.0) (* (* x x) (* x x)))) (- (* 1.0 1.0) (* (* x x) (* x x)))) (* (* (+ 1.0 (* x x)) (+ 1.0 (* x x))) (+ 1.0 (* x x)))) (* (cbrt (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)))) (cbrt (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x))))) (cbrt (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)))) (* (* (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x))) (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)))) (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)))) (sqrt (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)))) (sqrt (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)))) (- (- (* 1.0 1.0) (* (* x x) (* x 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(sqrt -1)))) 0.606 * * [simplify]: iteration 0 : 443 enodes (cost 1005 ) 0.616 * * [simplify]: iteration 1 : 1864 enodes (cost 914 ) 0.652 * * [simplify]: iteration 2 : 5001 enodes (cost 901 ) 0.660 * [simplify]: Simplified to: 4 4 4 4 2 2 4 4 4 4 4 4 4 4 2 2 4 4 4 4 (pow x 2) (pow x 2) (pow x 4) (pow x 4) (pow x 2) (pow x 2) (pow x 2) (pow x 4) (pow x 4) (pow x 2) 2 2 (* 4 (log x)) (* 4 (log x)) (* 4 (log x)) (* 4 (log x)) (* 4 (log x)) (pow (exp (pow x 3)) x) (pow (pow x 4) 3) (pow (pow x 4) 3) (pow (pow x 4) 3) (pow (pow x 4) 3) (* (cbrt (* (* x x) (* x x))) (cbrt (* (* x x) (* x x)))) (cbrt (* (* x x) (* x x))) (pow (pow x 4) 3) (fabs (pow x 2)) (fabs (pow x 2)) (pow x 2) (pow x 2) (pow x 2) (pow x 2) 4 4 2 2 4 4 4 2 2 4 (pow x 3) (pow x 3) (log (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)))) (log (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)))) (exp (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)))) (pow (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x))) 3) (* (cbrt (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)))) (cbrt (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x))))) (cbrt (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)))) (pow (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x))) 3) (sqrt (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)))) (sqrt (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)))) (- (- (* 1.0 1.0) (* (* x x) (* x x)))) (- (+ 1.0 (* x x))) (/ (* 1.0 1.0) (+ 1.0 (* x x))) (/ (pow x 4) (+ 1.0 (* x x))) (/ (* (cbrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (cbrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x))))) (/ (cbrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (cbrt (+ 1.0 (* x x)))) (/ (* (cbrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (cbrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (+ 1.0 (* x x)))) (/ (cbrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x)))) (* (cbrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (cbrt (- (* 1.0 1.0) (* (* x x) (* x 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x))))) (sqrt (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))))) (sqrt (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))))) (sqrt (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) 1)) (sqrt (/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (+ 1.0 (* x x)))) (sqrt (/ 1 (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (sqrt (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (cbrt (+ 1.0 (* x x))))) (sqrt (/ 1 (sqrt (+ 1.0 (* x x))))) (sqrt (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (sqrt (+ 1.0 (* x x))))) 1 (sqrt (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)))) (sqrt (/ (+ 1.0 (* x x)) (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (sqrt (/ (- 1.0 (* x x)) (cbrt (+ 1.0 (* x x))))) (sqrt (/ (+ 1.0 (* x x)) (sqrt (+ 1.0 (* x x))))) (sqrt (/ (- 1.0 (* x x)) (sqrt (+ 1.0 (* x x))))) (sqrt (+ 1.0 (* x x))) (sqrt (/ (- 1.0 (* x x)) (+ 1.0 (* x x)))) 1 (sqrt (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (/ 1 (+ 1.0 (* x x)))) (sqrt (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ (pow 1.0 3) (pow (* x x) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (* x x) (* x x)) (* 1.0 (* x x))))) 1 (sqrt (- 1.0 (* x x))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) 1/2 (sqrt (sqrt (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x))))) (sqrt (sqrt (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x))))) (pow x 4) (pow x 4) (pow x 4) (- 1.0 (* 1.0 (pow x 2))) (- 1.0 (pow x 2)) (- 1.0 (pow x 2)) (- (sqrt 1.0) (+ (* 0.125 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 0.5 (/ (pow x 2) (sqrt 1.0))))) (+ (- (* x (sqrt -1)) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (/ (/ 0.5 (sqrt -1)) x)) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.661 * * * [progress]: adding candidates to table 0.878 * [progress]: [Phase 3 of 3] Extracting. 0.878 * * [regime]: Finding splitpoints for: (# #) 0.878 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))) x) 0.878 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.889 * * * * [regimes]: Trying to branch on (- 1.0 (* x x)) from (# #) 0.896 * * * * [regimes]: Trying to branch on (sqrt (- 1.0 (* x x))) from (# #) 0.905 * * * * [regimes]: Trying to branch on x from (# #) 0.915 * * * [regime]: Found split indices: #