20.178 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (- (* x x) 1.0) 0.022 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.023 * * [simplify]: iteration 1 : 7 enodes (cost 2 ) 0.024 * * [simplify]: iteration 2 : 7 enodes (cost 2 ) 0.025 * [simplify]: Simplified to: (- (* x x) 1.0) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.027 * * * * [pick]: Picked # 0.027 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.034 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.034 * [approximate]: Taking taylor expansion of (- (pow x 2) 1.0) in (x) around 0 0.034 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) 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 0.034 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) 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 0.043 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.044 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 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 0.044 * [taylor]: Taking taylor expansion of 1.0 in x 0.044 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 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 in x 0.059 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.059 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of 1.0 in x 0.074 * * * [progress]: simplifying candidates 0.074 * [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) 0.077 * * [simplify]: iteration 0 : 73 enodes (cost 63 ) 0.080 * * [simplify]: iteration 1 : 216 enodes (cost 56 ) 0.083 * * [simplify]: iteration 2 : 535 enodes (cost 56 ) 0.095 * * [simplify]: iteration 3 : 1794 enodes (cost 56 ) 0.136 * * [simplify]: iteration 4 : 5001 enodes (cost 56 ) 0.137 * [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) 0.137 * * * [progress]: adding candidates to table 0.170 * * [progress]: iteration 2 / 4 0.170 * * * [progress]: picking best candidate 0.172 * * * * [pick]: Picked # 0.172 * * * [progress]: localizing error 0.178 * * * [progress]: generating rewritten candidates 0.178 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.183 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.187 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.191 * * * [progress]: generating series expansions 0.191 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.191 * [approximate]: Taking taylor expansion of (- (pow x 2) 1.0) in (x) around 0 0.191 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of 1.0 in x 0.191 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of 1.0 in x 0.200 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.200 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.201 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.215 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.215 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of 1.0 in x 0.216 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.216 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of 1.0 in x 0.229 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.230 * [approximate]: Taking taylor expansion of (log (- (pow x 2) 1.0)) in (x) around 0 0.230 * [taylor]: Taking taylor expansion of (log (- (pow x 2) 1.0)) in x 0.230 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.230 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of 1.0 in x 0.231 * [taylor]: Taking taylor expansion of (log (- (pow x 2) 1.0)) in x 0.231 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.231 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of 1.0 in x 0.267 * [approximate]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.267 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) 1.0)) in x 0.267 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.267 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of 1.0 in x 0.268 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) 1.0)) in x 0.268 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of 1.0 in x 0.302 * [approximate]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.302 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) 1.0)) in x 0.302 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of 1.0 in x 0.303 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) 1.0)) in x 0.303 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.340 * [approximate]: Taking taylor expansion of (- (pow x 2) 1.0) in (x) around 0 0.340 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.349 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of 1.0 in x 0.350 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of 1.0 in x 0.364 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.364 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of 1.0 in x 0.364 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of 1.0 in x 0.378 * * * [progress]: simplifying candidates 0.379 * [simplify]: Simplifying using # : (exp 1) (exp (* (cbrt (log (- (* x x) 1.0))) (cbrt (log (- (* x x) 1.0))))) (exp (sqrt (log (- (* x x) 1.0)))) (exp 1) (exp (log (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0))))) (exp (log (cbrt (- (* x x) 1.0)))) (exp (log (sqrt (- (* x x) 1.0)))) (exp (log (sqrt (- (* x x) 1.0)))) (exp (log 1)) (exp (log (- (* x x) 1.0))) (exp (log (+ x (sqrt 1.0)))) (exp (log (- x (sqrt 1.0)))) (exp (log (- (pow (* x x) 3) (pow 1.0 3)))) (exp (log (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0))))) (exp (log (- (* (* x x) (* x x)) (* 1.0 1.0)))) (exp (log (+ (* x x) 1.0))) (log (exp (log (- (* x x) 1.0)))) (exp (exp (log (- (* x x) 1.0)))) (* (cbrt (exp (log (- (* x x) 1.0)))) (cbrt (exp (log (- (* x x) 1.0))))) (cbrt (exp (log (- (* x x) 1.0)))) (* (* (exp (log (- (* x x) 1.0))) (exp (log (- (* x x) 1.0)))) (exp (log (- (* x x) 1.0)))) (sqrt (exp (log (- (* x x) 1.0)))) (sqrt (exp (log (- (* x x) 1.0)))) (log (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0)))) (log (cbrt (- (* x x) 1.0))) (log (sqrt (- (* x x) 1.0))) (log (sqrt (- (* x x) 1.0))) (log 1) (log (- (* x x) 1.0)) (log (+ x (sqrt 1.0))) (log (- x (sqrt 1.0))) (log (- (pow (* x x) 3) (pow 1.0 3))) (log (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0)))) (log (- (* (* x x) (* x x)) (* 1.0 1.0))) (log (+ (* x x) 1.0)) (log (- (* x x) 1.0)) (log (log (- (* x x) 1.0))) (exp (log (- (* x x) 1.0))) (* (cbrt (log (- (* x x) 1.0))) (cbrt (log (- (* x x) 1.0)))) (cbrt (log (- (* x x) 1.0))) (* (* (log (- (* x x) 1.0)) (log (- (* x x) 1.0))) (log (- (* x x) 1.0))) (sqrt (log (- (* x x) 1.0))) (sqrt (log (- (* x x) 1.0))) (/ (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) (- (log (neg 1.0)) (+ (* 1/2 (/ (pow x 4) (pow -1.0 2))) (* 1.0 (pow x 2)))) (neg (+ (* 2 (log (/ 1 x))) (+ (* 1.0 (/ 1 (pow x 2))) (* 0.5 (/ 1 (pow x 4)))))) (neg (+ (* 1.0 (/ 1 (pow x 2))) (+ (* 0.5 (/ 1 (pow x 4))) (* 2 (log (/ -1 x)))))) (- (pow x 2) 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) 0.383 * * [simplify]: iteration 0 : 191 enodes (cost 282 ) 0.386 * * [simplify]: iteration 1 : 531 enodes (cost 255 ) 0.394 * * [simplify]: iteration 2 : 1943 enodes (cost 248 ) 0.436 * * [simplify]: iteration 3 : 5002 enodes (cost 242 ) 0.438 * [simplify]: Simplified to: E (exp (* (cbrt (log (- (* x x) 1.0))) (cbrt (log (- (* x x) 1.0))))) (exp (sqrt (log (- (* x x) 1.0)))) E (pow (cbrt (- (* x x) 1.0)) 2) (cbrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)) 1 (- (* x x) 1.0) (+ x (sqrt 1.0)) (- x (sqrt 1.0)) (- (pow (* x x) 3) (pow 1.0 3)) (+ (+ (pow x 4) (* (* x x) 1.0)) (* 1.0 1.0)) (+ (neg (* 1.0 1.0)) (pow x 4)) (+ (* x x) 1.0) (log (- (* x x) 1.0)) (exp (- (* x x) 1.0)) (pow (cbrt (- (* x x) 1.0)) 2) (cbrt (- (* x x) 1.0)) (pow (- (* x x) 1.0) 3) (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)) (* 2 (log (cbrt (- (* x x) 1.0)))) (log (cbrt (- (* x x) 1.0))) (log (sqrt (- (* x x) 1.0))) (log (sqrt (- (* x x) 1.0))) 0 (log (- (* x x) 1.0)) (log (+ x (sqrt 1.0))) (log (- x (sqrt 1.0))) (log (- (pow (* x x) 3) (pow 1.0 3))) (log (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0)))) (log (- (* (* x x) (* x x)) (* 1.0 1.0))) (log (+ (* x x) 1.0)) (log (- (* x x) 1.0)) (log (log (- (* x x) 1.0))) (- (* x x) 1.0) (* (cbrt (log (- (* x x) 1.0))) (cbrt (log (- (* x x) 1.0)))) (cbrt (log (- (* x x) 1.0))) (pow (log (- (* x x) 1.0)) 3) (sqrt (log (- (* x x) 1.0))) (sqrt (log (- (* x x) 1.0))) (exp (- (* x x) 1.0)) (log (- (* x x) 1.0)) (exp (- (* x x) 1.0)) (pow (cbrt (- (* x x) 1.0)) 2) (cbrt (- (* x x) 1.0)) (pow (- (* x x) 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)) (neg 1.0) (+ (neg (* 1.0 1.0)) (pow x 4)) (+ (* x x) 1.0) (+ x (sqrt 1.0)) (- x (sqrt 1.0)) (neg 1.0) (- (* x x) 1.0) (- (* x x) 1.0) (- (* x x) 1.0) (- (log (neg 1.0)) (+ (* 1/2 (/ (pow x 4) (pow -1.0 2))) (* 1.0 (pow x 2)))) (- (- (* (log x) 2) (/ 0.5 (pow x 4))) (/ (/ 1.0 x) x)) (- (- (/ (neg 1.0) (pow x 2)) (* 2 (log (/ -1 x)))) (/ 0.5 (pow x 4))) (- (* x x) 1.0) (- (* x x) 1.0) (- (* x x) 1.0) 0.438 * * * [progress]: adding candidates to table 0.557 * [progress]: [Phase 3 of 3] Extracting. 0.557 * * [regime]: Finding splitpoints for: (# #) 0.557 * * * [regime-changes]: Trying 3 branch expressions: ((* x x) (- (* x x) 1.0) x) 0.557 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.580 * * * * [regimes]: Trying to branch on (- (* x x) 1.0) from (# #) 0.604 * * * * [regimes]: Trying to branch on x from (# #) 0.627 * * * [regime]: Found split indices: #