8.116 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.001 * * * * [points]: Sampling 256 additional inputs, on iter 0 have 0 / 256 0.003 * * * * [points]: Computing exacts on every 16 of 256 points to ramp up precision 0.005 * * * * [points]: Setting MPFR precision to 64 0.006 * * * * [points]: Setting MPFR precision to 320 0.006 * * * * [points]: Computing exacts on every 8 of 256 points to ramp up precision 0.008 * * * * [points]: Setting MPFR precision to 64 0.009 * * * * [points]: Setting MPFR precision to 320 0.010 * * * * [points]: Computing exacts on every 4 of 256 points to ramp up precision 0.012 * * * * [points]: Setting MPFR precision to 64 0.014 * * * * [points]: Setting MPFR precision to 320 0.016 * * * * [points]: Computing exacts on every 2 of 256 points to ramp up precision 0.018 * * * * [points]: Setting MPFR precision to 64 0.020 * * * * [points]: Setting MPFR precision to 320 0.023 * * * * [points]: Computing exacts for 256 points 0.026 * * * * [points]: Setting MPFR precision to 64 0.033 * * * * [points]: Setting MPFR precision to 320 0.042 * * * * [points]: Filtering points with unrepresentable outputs 0.042 * * * * [points]: Sampling 141 additional inputs, on iter 1 have 115 / 256 0.044 * * * * [points]: Computing exacts on every 8 of 141 points to ramp up precision 0.046 * * * * [points]: Setting MPFR precision to 64 0.047 * * * * [points]: Setting MPFR precision to 320 0.047 * * * * [points]: Computing exacts on every 4 of 141 points to ramp up precision 0.049 * * * * [points]: Setting MPFR precision to 64 0.050 * * * * [points]: Setting MPFR precision to 320 0.051 * * * * [points]: Computing exacts on every 2 of 141 points to ramp up precision 0.053 * * * * [points]: Setting MPFR precision to 64 0.055 * * * * [points]: Setting MPFR precision to 320 0.057 * * * * [points]: Computing exacts for 141 points 0.059 * * * * [points]: Setting MPFR precision to 64 0.063 * * * * [points]: Setting MPFR precision to 320 0.069 * * * * [points]: Filtering points with unrepresentable outputs 0.069 * * * * [points]: Sampling 73 additional inputs, on iter 2 have 183 / 256 0.069 * * * * [points]: Computing exacts on every 4 of 73 points to ramp up precision 0.072 * * * * [points]: Setting MPFR precision to 64 0.076 * * * * [points]: Setting MPFR precision to 320 0.077 * * * * [points]: Computing exacts on every 2 of 73 points to ramp up precision 0.079 * * * * [points]: Setting MPFR precision to 64 0.080 * * * * [points]: Setting MPFR precision to 320 0.081 * * * * [points]: Computing exacts for 73 points 0.083 * * * * [points]: Setting MPFR precision to 64 0.085 * * * * [points]: Setting MPFR precision to 320 0.088 * * * * [points]: Filtering points with unrepresentable outputs 0.088 * * * * [points]: Sampling 37 additional inputs, on iter 3 have 219 / 256 0.089 * * * * [points]: Computing exacts on every 2 of 37 points to ramp up precision 0.091 * * * * [points]: Setting MPFR precision to 64 0.091 * * * * [points]: Setting MPFR precision to 320 0.092 * * * * [points]: Computing exacts for 37 points 0.094 * * * * [points]: Setting MPFR precision to 64 0.095 * * * * [points]: Setting MPFR precision to 320 0.096 * * * * [points]: Filtering points with unrepresentable outputs 0.096 * * * * [points]: Sampling 25 additional inputs, on iter 4 have 231 / 256 0.096 * * * * [points]: Computing exacts for 25 points 0.099 * * * * [points]: Setting MPFR precision to 64 0.099 * * * * [points]: Setting MPFR precision to 320 0.100 * * * * [points]: Filtering points with unrepresentable outputs 0.100 * * * * [points]: Sampling 14 additional inputs, on iter 5 have 242 / 256 0.101 * * * * [points]: Computing exacts for 14 points 0.103 * * * * [points]: Setting MPFR precision to 64 0.103 * * * * [points]: Setting MPFR precision to 320 0.104 * * * * [points]: Filtering points with unrepresentable outputs 0.104 * * * * [points]: Sampling 7 additional inputs, on iter 6 have 249 / 256 0.104 * * * * [points]: Computing exacts for 7 points 0.106 * * * * [points]: Setting MPFR precision to 64 0.106 * * * * [points]: Setting MPFR precision to 320 0.107 * * * * [points]: Filtering points with unrepresentable outputs 0.107 * * * * [points]: Sampling 5 additional inputs, on iter 7 have 251 / 256 0.107 * * * * [points]: Computing exacts for 5 points 0.109 * * * * [points]: Setting MPFR precision to 64 0.109 * * * * [points]: Setting MPFR precision to 320 0.109 * * * * [points]: Filtering points with unrepresentable outputs 0.109 * * * * [points]: Sampling 4 additional inputs, on iter 8 have 254 / 256 0.109 * * * * [points]: Computing exacts for 4 points 0.111 * * * * [points]: Setting MPFR precision to 64 0.112 * * * * [points]: Setting MPFR precision to 320 0.112 * * * * [points]: Filtering points with unrepresentable outputs 0.112 * * * * [points]: Sampled 257 points with exact outputs 0.112 * * * [progress]: [2/2] Setting up program. 0.115 * [progress]: [Phase 2 of 3] Improving. 0.115 * [simplify]: Simplifying using # : (re (complex (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (- (exp x) (exp (- x))) 2.0) (sin y)))) 0.118 * * [simplify]: iteration 0 : 30 enodes (cost 7 ) 0.119 * * [simplify]: iteration 1 : 47 enodes (cost 7 ) 0.120 * * [simplify]: iteration 2 : 84 enodes (cost 7 ) 0.122 * * [simplify]: iteration 3 : 121 enodes (cost 7 ) 0.124 * * [simplify]: iteration 4 : 206 enodes (cost 7 ) 0.127 * * [simplify]: iteration 5 : 410 enodes (cost 7 ) 0.132 * * [simplify]: iteration 6 : 1017 enodes (cost 7 ) 0.144 * * [simplify]: iteration 7 : 2074 enodes (cost 7 ) 0.172 * * [simplify]: iteration 8 : 5001 enodes (cost 7 ) 0.172 * [simplify]: Simplified to: (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 0.175 * * [progress]: iteration 1 / 4 0.175 * * * [progress]: picking best candidate 0.177 * * * * [pick]: Picked # 0.177 * * * [progress]: localizing error 0.188 * * * [progress]: generating rewritten candidates 0.188 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 1) 0.193 * * * [progress]: generating series expansions 0.193 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 1) 0.194 * [approximate]: Taking taylor expansion of (+ (exp x) (exp (- x))) in (x) around 0 0.194 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.194 * [taylor]: Taking taylor expansion of (exp x) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.194 * [taylor]: Taking taylor expansion of (- x) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.194 * [taylor]: Taking taylor expansion of (exp x) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.194 * [taylor]: Taking taylor expansion of (- x) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.213 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 0.213 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.213 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.213 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.214 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.214 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.216 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 0.216 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.216 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.217 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.217 * [taylor]: Taking taylor expansion of -1 in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.217 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.218 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.218 * [taylor]: Taking taylor expansion of -1 in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.219 * * * [progress]: simplifying candidates 0.220 * [simplify]: Simplifying using # : (* (exp (exp x)) (exp (exp (- x)))) (log (+ (exp x) (exp (- x)))) (exp (+ (exp x) (exp (- x)))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) (cbrt (+ (exp x) (exp (- x)))) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))) (+ (pow (exp x) 3) (pow (exp (- x)) 3)) (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))) (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (+ (exp x) (exp (- x))) (+ (exp (* -1 x)) (exp x)) 0.223 * * [simplify]: iteration 0 : 100 enodes (cost 100 ) 0.225 * * [simplify]: iteration 1 : 331 enodes (cost 88 ) 0.231 * * [simplify]: iteration 2 : 1216 enodes (cost 87 ) 0.268 * * [simplify]: iteration 3 : 5001 enodes (cost 87 ) 0.269 * [simplify]: Simplified to: (exp (+ (exp x) (exp (- x)))) (log (+ (exp x) (exp (- x)))) (exp (+ (exp x) (exp (- x)))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) (cbrt (+ (exp x) (exp (- x)))) (pow (+ (exp (* -1 x)) (exp x)) 3) (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))) (+ (pow (exp x) 3) (pow (exp (- x)) 3)) (+ (pow (exp x) -2) (- (exp (+ x x)) 1)) (+ (exp (+ x x)) (- (exp (+ (- x) (- x))))) (- (exp x) (exp (- x))) (+ (exp (* -1 x)) (exp x)) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)) 0.269 * * * [progress]: adding candidates to table 0.308 * * [progress]: iteration 2 / 4 0.308 * * * [progress]: picking best candidate 0.313 * * * * [pick]: Picked # 0.313 * * * [progress]: localizing error 0.326 * * * [progress]: generating rewritten candidates 0.326 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 1 2 1) 0.332 * * * [progress]: generating series expansions 0.332 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 1 2 1) 0.332 * [approximate]: Taking taylor expansion of (* 1/12 (pow x 4)) in (x) around 0 0.332 * [taylor]: Taking taylor expansion of (* 1/12 (pow x 4)) in x 0.332 * [taylor]: Taking taylor expansion of 1/12 in x 0.332 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of (* 1/12 (pow x 4)) in x 0.332 * [taylor]: Taking taylor expansion of 1/12 in x 0.332 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.343 * [approximate]: Taking taylor expansion of (/ 1/12 (pow x 4)) in (x) around 0 0.343 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.343 * [taylor]: Taking taylor expansion of 1/12 in x 0.343 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.344 * [taylor]: Taking taylor expansion of 1/12 in x 0.344 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.355 * [approximate]: Taking taylor expansion of (/ 1/12 (pow x 4)) in (x) around 0 0.355 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.355 * [taylor]: Taking taylor expansion of 1/12 in x 0.355 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.356 * [taylor]: Taking taylor expansion of 1/12 in x 0.356 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.367 * * * [progress]: simplifying candidates 0.367 * [simplify]: Simplifying using # : (+ (log 1/12) (* (log x) 4)) (+ (log 1/12) (* (log x) 4)) (+ (log 1/12) (log (pow x 4))) (log (* 1/12 (pow x 4))) (exp (* 1/12 (pow x 4))) (* (* (* 1/12 1/12) 1/12) (* (* (pow x 4) (pow x 4)) (pow x 4))) (* (cbrt (* 1/12 (pow x 4))) (cbrt (* 1/12 (pow x 4)))) (cbrt (* 1/12 (pow x 4))) (* (* (* 1/12 (pow x 4)) (* 1/12 (pow x 4))) (* 1/12 (pow x 4))) (sqrt (* 1/12 (pow x 4))) (sqrt (* 1/12 (pow x 4))) (* (sqrt 1/12) (pow (sqrt x) 4)) (* (sqrt 1/12) (pow (sqrt x) 4)) (* (sqrt 1/12) (sqrt (pow x 4))) (* (sqrt 1/12) (sqrt (pow x 4))) (* (sqrt 1/12) (pow x (/ 4 2))) (* (sqrt 1/12) (pow x (/ 4 2))) (* 1/12 (pow (* (cbrt x) (cbrt x)) 4)) (* 1/12 (pow (sqrt x) 4)) (* 1/12 (pow 1 4)) (* 1/12 (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (* 1/12 (sqrt (pow x 4))) (* 1/12 1) (* 1/12 (pow x (/ 4 2))) (* (cbrt 1/12) (pow x 4)) (* (sqrt 1/12) (pow x 4)) (* 1/12 (pow x 4)) (* 1/12 (pow x 4)) (* 1/12 (pow x 4)) (* 1/12 (pow x 4)) 0.370 * * [simplify]: iteration 0 : 100 enodes (cost 97 ) 0.373 * * [simplify]: iteration 1 : 402 enodes (cost 92 ) 0.382 * * [simplify]: iteration 2 : 1830 enodes (cost 89 ) 0.436 * * [simplify]: iteration 3 : 5002 enodes (cost 89 ) 0.436 * [simplify]: Simplified to: (log (* 1/12 (pow x 4))) (log (* 1/12 (pow x 4))) (log (* 1/12 (pow x 4))) (log (* 1/12 (pow x 4))) (exp (* 1/12 (pow x 4))) (pow (* 1/12 (pow x 4)) 3) (* (cbrt (* 1/12 (pow x 4))) (cbrt (* 1/12 (pow x 4)))) (cbrt (* 1/12 (pow x 4))) (pow (* 1/12 (pow x 4)) 3) (sqrt (* 1/12 (pow x 4))) (sqrt (* 1/12 (pow x 4))) (* (sqrt 1/12) (pow x 2)) (* (sqrt 1/12) (pow x 2)) (* (sqrt 1/12) (sqrt (pow x 4))) (* (sqrt 1/12) (sqrt (pow x 4))) (* (sqrt 1/12) (pow x 2)) (* (sqrt 1/12) (pow x 2)) (* 1/12 (pow (* (cbrt x) (cbrt x)) 4)) (* 1/12 (pow x 2)) 1/12 (* 1/12 (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (* 1/12 (sqrt (pow x 4))) 1/12 (* 1/12 (pow x 2)) (* (cbrt 1/12) (pow x 4)) (* (sqrt 1/12) (pow x 4)) (* 1/12 (pow x 4)) (* 1/12 (pow x 4)) (* 1/12 (pow x 4)) (* 1/12 (pow x 4)) 0.437 * * * [progress]: adding candidates to table 0.499 * [progress]: [Phase 3 of 3] Extracting. 0.499 * * [regime]: Finding splitpoints for: (# #) 0.499 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.499 * * * * [regimes]: Trying to branch on y from (# #) 0.512 * * * * [regimes]: Trying to branch on x from (# #) 0.523 * * * [regime]: Found split indices: #