1544001368.861 * [misc]progress: [Phase 1 of 3] Setting up. 1544001368.863 * * * [misc]progress: [1/2] Preparing points 1544001368.865 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1544001368.868 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision 1544001368.933 * * * * [misc]points: Setting MPFR precision to 64 1544001368.934 * * * * [misc]points: Setting MPFR precision to 320 1544001368.935 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision 1544001368.936 * * * * [misc]points: Setting MPFR precision to 64 1544001368.937 * * * * [misc]points: Setting MPFR precision to 320 1544001368.937 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision 1544001368.938 * * * * [misc]points: Setting MPFR precision to 64 1544001368.939 * * * * [misc]points: Setting MPFR precision to 320 1544001368.940 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision 1544001368.941 * * * * [misc]points: Setting MPFR precision to 64 1544001368.942 * * * * [misc]points: Setting MPFR precision to 320 1544001368.944 * * * * [misc]points: Computing exacts for 256 points 1544001368.945 * * * * [misc]points: Setting MPFR precision to 64 1544001368.950 * * * * [misc]points: Setting MPFR precision to 320 1544001368.957 * * * * [misc]points: Filtering points with unrepresentable outputs 1544001368.958 * * * * [misc]points: Sampling 182 additional inputs, on iter 1 have 74 / 256 1544001368.959 * * * * [misc]points: Computing exacts on every 11 of 182 points to ramp up precision 1544001368.960 * * * * [misc]points: Setting MPFR precision to 64 1544001368.961 * * * * [misc]points: Setting MPFR precision to 320 1544001368.961 * * * * [misc]points: Computing exacts on every 5 of 182 points to ramp up precision 1544001368.963 * * * * [misc]points: Setting MPFR precision to 64 1544001368.964 * * * * [misc]points: Setting MPFR precision to 320 1544001368.965 * * * * [misc]points: Computing exacts on every 2 of 182 points to ramp up precision 1544001368.967 * * * * [misc]points: Setting MPFR precision to 64 1544001368.969 * * * * [misc]points: Setting MPFR precision to 320 1544001368.971 * * * * [misc]points: Computing exacts for 182 points 1544001368.972 * * * * [misc]points: Setting MPFR precision to 64 1544001368.977 * * * * [misc]points: Setting MPFR precision to 320 1544001368.982 * * * * [misc]points: Filtering points with unrepresentable outputs 1544001368.982 * * * * [misc]points: Sampling 133 additional inputs, on iter 2 have 123 / 256 1544001368.983 * * * * [misc]points: Computing exacts on every 8 of 133 points to ramp up precision 1544001368.985 * * * * [misc]points: Setting MPFR precision to 64 1544001368.986 * * * * [misc]points: Setting MPFR precision to 320 1544001368.986 * * * * [misc]points: Computing exacts on every 4 of 133 points to ramp up precision 1544001368.988 * * * * [misc]points: Setting MPFR precision to 64 1544001368.989 * * * * [misc]points: Setting MPFR precision to 320 1544001368.990 * * * * [misc]points: Computing exacts on every 2 of 133 points to ramp up precision 1544001368.992 * * * * [misc]points: Setting MPFR precision to 64 1544001368.994 * * * * [misc]points: Setting MPFR precision to 320 1544001368.995 * * * * [misc]points: Computing exacts for 133 points 1544001368.997 * * * * [misc]points: Setting MPFR precision to 64 1544001369.000 * * * * [misc]points: Setting MPFR precision to 320 1544001369.004 * * * * [misc]points: Filtering points with unrepresentable outputs 1544001369.004 * * * * [misc]points: Sampling 101 additional inputs, on iter 3 have 155 / 256 1544001369.005 * * * * [misc]points: Computing exacts on every 6 of 101 points to ramp up precision 1544001369.007 * * * * [misc]points: Setting MPFR precision to 64 1544001369.007 * * * * [misc]points: Setting MPFR precision to 320 1544001369.008 * * * * [misc]points: Computing exacts on every 3 of 101 points to ramp up precision 1544001369.009 * * * * [misc]points: Setting MPFR precision to 64 1544001369.010 * * * * [misc]points: Setting MPFR precision to 320 1544001369.011 * * * * [misc]points: Setting MPFR precision to 576 1544001369.012 * * * * [misc]points: Computing exacts for 101 points 1544001369.062 * * * * [misc]points: Setting MPFR precision to 320 1544001369.065 * * * * [misc]points: Setting MPFR precision to 576 1544001369.068 * * * * [misc]points: Filtering points with unrepresentable outputs 1544001369.068 * * * * [misc]points: Sampling 68 additional inputs, on iter 4 have 188 / 256 1544001369.068 * * * * [misc]points: Computing exacts on every 4 of 68 points to ramp up precision 1544001369.070 * * * * [misc]points: Setting MPFR precision to 320 1544001369.071 * * * * [misc]points: Setting MPFR precision to 576 1544001369.071 * * * * [misc]points: Computing exacts on every 2 of 68 points to ramp up precision 1544001369.075 * * * * [misc]points: Setting MPFR precision to 320 1544001369.076 * * * * [misc]points: Setting MPFR precision to 576 1544001369.076 * * * * [misc]points: Computing exacts for 68 points 1544001369.078 * * * * [misc]points: Setting MPFR precision to 320 1544001369.080 * * * * [misc]points: Setting MPFR precision to 576 1544001369.082 * * * * [misc]points: Filtering points with unrepresentable outputs 1544001369.082 * * * * [misc]points: Sampling 46 additional inputs, on iter 5 have 210 / 256 1544001369.082 * * * * [misc]points: Computing exacts on every 2 of 46 points to ramp up precision 1544001369.084 * * * * [misc]points: Setting MPFR precision to 320 1544001369.085 * * * * [misc]points: Setting MPFR precision to 576 1544001369.085 * * * * [misc]points: Computing exacts for 46 points 1544001369.087 * * * * [misc]points: Setting MPFR precision to 320 1544001369.088 * * * * [misc]points: Setting MPFR precision to 576 1544001369.089 * * * * [misc]points: Filtering points with unrepresentable outputs 1544001369.089 * * * * [misc]points: Sampling 31 additional inputs, on iter 6 have 225 / 256 1544001369.090 * * * * [misc]points: Computing exacts for 31 points 1544001369.091 * * * * [misc]points: Setting MPFR precision to 320 1544001369.092 * * * * [misc]points: Setting MPFR precision to 576 1544001369.093 * * * * [misc]points: Filtering points with unrepresentable outputs 1544001369.093 * * * * [misc]points: Sampling 25 additional inputs, on iter 7 have 231 / 256 1544001369.093 * * * * [misc]points: Computing exacts for 25 points 1544001369.095 * * * * [misc]points: Setting MPFR precision to 320 1544001369.096 * * * * [misc]points: Setting MPFR precision to 576 1544001369.097 * * * * [misc]points: Filtering points with unrepresentable outputs 1544001369.097 * * * * [misc]points: Sampling 18 additional inputs, on iter 8 have 238 / 256 1544001369.097 * * * * [misc]points: Computing exacts for 18 points 1544001369.099 * * * * [misc]points: Setting MPFR precision to 320 1544001369.099 * * * * [misc]points: Setting MPFR precision to 576 1544001369.100 * * * * [misc]points: Filtering points with unrepresentable outputs 1544001369.100 * * * * [misc]points: Sampling 12 additional inputs, on iter 9 have 244 / 256 1544001369.100 * * * * [misc]points: Computing exacts for 12 points 1544001369.102 * * * * [misc]points: Setting MPFR precision to 320 1544001369.102 * * * * [misc]points: Setting MPFR precision to 576 1544001369.103 * * * * [misc]points: Filtering points with unrepresentable outputs 1544001369.103 * * * * [misc]points: Sampling 10 additional inputs, on iter 10 have 246 / 256 1544001369.103 * * * * [misc]points: Computing exacts for 10 points 1544001369.104 * * * * [misc]points: Setting MPFR precision to 320 1544001369.105 * * * * [misc]points: Setting MPFR precision to 576 1544001369.105 * * * * [misc]points: Filtering points with unrepresentable outputs 1544001369.105 * * * * [misc]points: Sampling 8 additional inputs, on iter 11 have 248 / 256 1544001369.105 * * * * [misc]points: Computing exacts for 8 points 1544001369.107 * * * * [misc]points: Setting MPFR precision to 320 1544001369.107 * * * * [misc]points: Setting MPFR precision to 576 1544001369.107 * * * * [misc]points: Filtering points with unrepresentable outputs 1544001369.108 * * * * [misc]points: Sampling 5 additional inputs, on iter 12 have 251 / 256 1544001369.108 * * * * [misc]points: Computing exacts for 5 points 1544001369.109 * * * * [misc]points: Setting MPFR precision to 320 1544001369.110 * * * * [misc]points: Setting MPFR precision to 576 1544001369.110 * * * * [misc]points: Filtering points with unrepresentable outputs 1544001369.110 * * * * [misc]points: Sampling 4 additional inputs, on iter 13 have 254 / 256 1544001369.110 * * * * [misc]points: Computing exacts for 4 points 1544001369.112 * * * * [misc]points: Setting MPFR precision to 320 1544001369.112 * * * * [misc]points: Setting MPFR precision to 576 1544001369.112 * * * * [misc]points: Filtering points with unrepresentable outputs 1544001369.112 * * * * [misc]points: Sampling 4 additional inputs, on iter 14 have 254 / 256 1544001369.112 * * * * [misc]points: Computing exacts for 4 points 1544001369.114 * * * * [misc]points: Setting MPFR precision to 320 1544001369.114 * * * * [misc]points: Setting MPFR precision to 576 1544001369.114 * * * * [misc]points: Filtering points with unrepresentable outputs 1544001369.114 * * * * [exit]points: Sampled 257 points with exact outputs 1544001369.115 * * * [misc]progress: [2/2] Setting up program. 1544001369.121 * [misc]progress: [Phase 2 of 3] Improving. 1544001369.122 * [enter]simplify: Simplifying (* (sqrt (- x 1)) (sqrt x)) 1544001369.123 * * [misc]simplify: iters left: 5 (6 enodes) 1544001369.130 * * [misc]simplify: iters left: 4 (12 enodes) 1544001369.133 * * [misc]simplify: iters left: 3 (13 enodes) 1544001369.137 * [exit]simplify: Simplified to (* (sqrt (+ x -1)) (sqrt x)) 1544001369.148 * * [misc]progress: iteration 1 / 4 1544001369.148 * * * [misc]progress: picking best candidate 1544001369.153 * * * * [misc]pick: Picked # 1544001369.153 * * * [misc]progress: localizing error 1544001369.175 * * * [misc]progress: generating rewritten candidates 1544001369.175 * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) 1544001369.207 * * * [misc]progress: generating series expansions 1544001369.208 * * * * [misc]progress: [ 1 / 1 ] generating series at (2) 1544001369.215 * [misc]backup-simplify: Simplify (* (sqrt (+ x -1)) (sqrt x)) into (sqrt (* x (- x 1))) 1544001369.215 * [misc]approximate: Taking taylor expansion of (sqrt (* x (- x 1))) in (x) around 0 1544001369.216 * [misc]taylor: Taking taylor expansion of (sqrt (* x (- x 1))) in x 1544001369.216 * [misc]taylor: Taking taylor expansion of (* x (- x 1)) in x 1544001369.216 * [misc]taylor: Taking taylor expansion of x in x 1544001369.217 * [misc]backup-simplify: Simplify 0 into 0 1544001369.217 * [misc]backup-simplify: Simplify 1 into 1 1544001369.217 * [misc]taylor: Taking taylor expansion of (- x 1) in x 1544001369.217 * [misc]taylor: Taking taylor expansion of x in x 1544001369.217 * [misc]backup-simplify: Simplify 0 into 0 1544001369.217 * [misc]backup-simplify: Simplify 1 into 1 1544001369.217 * [misc]taylor: Taking taylor expansion of 1 in x 1544001369.217 * [misc]backup-simplify: Simplify 1 into 1 1544001369.218 * [misc]backup-simplify: Simplify (- 1) into -1 1544001369.218 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544001369.218 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1544001369.219 * [misc]backup-simplify: Simplify (- 0) into 0 1544001369.219 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544001369.219 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1544001369.219 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544001369.220 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544001369.220 * [misc]taylor: Taking taylor expansion of (sqrt (* x (- x 1))) in x 1544001369.220 * [misc]taylor: Taking taylor expansion of (* x (- x 1)) in x 1544001369.220 * [misc]taylor: Taking taylor expansion of x in x 1544001369.220 * [misc]backup-simplify: Simplify 0 into 0 1544001369.220 * [misc]backup-simplify: Simplify 1 into 1 1544001369.220 * [misc]taylor: Taking taylor expansion of (- x 1) in x 1544001369.220 * [misc]taylor: Taking taylor expansion of x in x 1544001369.220 * [misc]backup-simplify: Simplify 0 into 0 1544001369.220 * [misc]backup-simplify: Simplify 1 into 1 1544001369.220 * [misc]taylor: Taking taylor expansion of 1 in x 1544001369.220 * [misc]backup-simplify: Simplify 1 into 1 1544001369.220 * [misc]backup-simplify: Simplify (- 1) into -1 1544001369.220 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544001369.221 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1544001369.221 * [misc]backup-simplify: Simplify (- 0) into 0 1544001369.221 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544001369.221 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1544001369.221 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544001369.222 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544001369.222 * [misc]backup-simplify: Simplify 0 into 0 1544001369.222 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544001369.223 * [misc]backup-simplify: Simplify (- 0) into 0 1544001369.223 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544001369.223 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1544001369.225 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544001369.226 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544001369.226 * [misc]backup-simplify: Simplify (- 0) into 0 1544001369.226 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544001369.226 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1544001369.227 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544001369.227 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544001369.229 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow x 3)) (+ (* +nan.0 (pow x 2)) (* +nan.0 x))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) 1544001369.229 * [misc]backup-simplify: Simplify (* (sqrt (+ (/ 1 x) -1)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1) x)) 1544001369.229 * [misc]approximate: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in (x) around 0 1544001369.229 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 1544001369.229 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 1544001369.229 * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x 1544001369.229 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x 1544001369.229 * [misc]taylor: Taking taylor expansion of x in x 1544001369.229 * [misc]backup-simplify: Simplify 0 into 0 1544001369.229 * [misc]backup-simplify: Simplify 1 into 1 1544001369.230 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544001369.230 * [misc]taylor: Taking taylor expansion of 1 in x 1544001369.230 * [misc]backup-simplify: Simplify 1 into 1 1544001369.230 * [misc]taylor: Taking taylor expansion of x in x 1544001369.230 * [misc]backup-simplify: Simplify 0 into 0 1544001369.230 * [misc]backup-simplify: Simplify 1 into 1 1544001369.230 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544001369.230 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544001369.230 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1544001369.232 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544001369.232 * [misc]backup-simplify: Simplify (- 1) into -1 1544001369.232 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544001369.233 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 1544001369.233 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1544001369.233 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 1544001369.233 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 1544001369.233 * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x 1544001369.233 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x 1544001369.233 * [misc]taylor: Taking taylor expansion of x in x 1544001369.233 * [misc]backup-simplify: Simplify 0 into 0 1544001369.233 * [misc]backup-simplify: Simplify 1 into 1 1544001369.233 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544001369.233 * [misc]taylor: Taking taylor expansion of 1 in x 1544001369.233 * [misc]backup-simplify: Simplify 1 into 1 1544001369.233 * [misc]taylor: Taking taylor expansion of x in x 1544001369.233 * [misc]backup-simplify: Simplify 0 into 0 1544001369.233 * [misc]backup-simplify: Simplify 1 into 1 1544001369.233 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544001369.234 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544001369.234 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1544001369.234 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544001369.234 * [misc]backup-simplify: Simplify (- 1) into -1 1544001369.234 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544001369.235 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 1544001369.235 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1544001369.235 * [misc]backup-simplify: Simplify 1 into 1 1544001369.235 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544001369.235 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544001369.235 * [misc]backup-simplify: Simplify (- 0) into 0 1544001369.235 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544001369.236 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)))) into 0 1544001369.237 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1544001369.237 * [misc]backup-simplify: Simplify -1/8 into -1/8 1544001369.237 * [misc]backup-simplify: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1544001369.237 * [misc]backup-simplify: Simplify (* (sqrt (+ (/ 1 (- x)) -1)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) 1544001369.238 * [misc]approximate: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in (x) around 0 1544001369.238 * [misc]taylor: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x 1544001369.238 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 1544001369.238 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 1544001369.238 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x 1544001369.238 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x 1544001369.238 * [misc]taylor: Taking taylor expansion of x in x 1544001369.238 * [misc]backup-simplify: Simplify 0 into 0 1544001369.238 * [misc]backup-simplify: Simplify 1 into 1 1544001369.238 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544001369.238 * [misc]taylor: Taking taylor expansion of 1 in x 1544001369.238 * [misc]backup-simplify: Simplify 1 into 1 1544001369.238 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544001369.238 * [misc]backup-simplify: Simplify (- 1) into -1 1544001369.238 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544001369.239 * [misc]backup-simplify: Simplify (- 1) into -1 1544001369.239 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544001369.239 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 x)) in x 1544001369.239 * [misc]taylor: Taking taylor expansion of (/ -1 x) in x 1544001369.239 * [misc]taylor: Taking taylor expansion of -1 in x 1544001369.239 * [misc]backup-simplify: Simplify -1 into -1 1544001369.239 * [misc]taylor: Taking taylor expansion of x in x 1544001369.239 * [misc]backup-simplify: Simplify 0 into 0 1544001369.239 * [misc]backup-simplify: Simplify 1 into 1 1544001369.239 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544001369.240 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544001369.240 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544001369.240 * [misc]taylor: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x 1544001369.240 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 1544001369.240 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 1544001369.240 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x 1544001369.240 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x 1544001369.240 * [misc]taylor: Taking taylor expansion of x in x 1544001369.240 * [misc]backup-simplify: Simplify 0 into 0 1544001369.240 * [misc]backup-simplify: Simplify 1 into 1 1544001369.240 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544001369.240 * [misc]taylor: Taking taylor expansion of 1 in x 1544001369.240 * [misc]backup-simplify: Simplify 1 into 1 1544001369.241 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544001369.241 * [misc]backup-simplify: Simplify (- 1) into -1 1544001369.241 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544001369.241 * [misc]backup-simplify: Simplify (- 1) into -1 1544001369.242 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544001369.242 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 x)) in x 1544001369.242 * [misc]taylor: Taking taylor expansion of (/ -1 x) in x 1544001369.242 * [misc]taylor: Taking taylor expansion of -1 in x 1544001369.242 * [misc]backup-simplify: Simplify -1 into -1 1544001369.242 * [misc]taylor: Taking taylor expansion of x in x 1544001369.242 * [misc]backup-simplify: Simplify 0 into 0 1544001369.242 * [misc]backup-simplify: Simplify 1 into 1 1544001369.242 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544001369.242 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544001369.243 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544001369.243 * [misc]backup-simplify: Simplify (* 0 0) into 0 1544001369.243 * [misc]backup-simplify: Simplify 0 into 0 1544001369.243 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 1544001369.243 * [misc]backup-simplify: Simplify 0 into 0 1544001369.243 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544001369.245 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544001369.245 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544001369.245 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1544001369.245 * [misc]backup-simplify: Simplify (- 1) into -1 1544001369.246 * [misc]backup-simplify: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544001369.247 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 1544001369.247 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1544001369.247 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544001369.249 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544001369.249 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544001369.249 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544001369.249 * [misc]backup-simplify: Simplify (- 0) into 0 1544001369.250 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544001369.252 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 1544001369.252 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1544001369.252 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544001369.254 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544001369.254 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544001369.254 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544001369.255 * [misc]backup-simplify: Simplify (- 0) into 0 1544001369.256 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544001369.258 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 1544001369.258 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1544001369.259 * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1544001369.259 * * * [misc]progress: simplifying candidates 1544001369.259 * * * * [misc]progress: [ 1 / 27 ] simplifiying candidate # 1544001369.260 * [enter]simplify: Simplifying (* (+ x -1) x) 1544001369.260 * * [misc]simplify: iters left: 4 (4 enodes) 1544001369.261 * * [misc]simplify: iters left: 3 (6 enodes) 1544001369.263 * * [misc]simplify: iters left: 2 (13 enodes) 1544001369.267 * * [misc]simplify: iters left: 1 (14 enodes) 1544001369.270 * [exit]simplify: Simplified to (- (* x x) x) 1544001369.271 * [misc]simplify: Simplified (2 1) to (λ (x) (pow (- (* x x) x) 1/2)) 1544001369.271 * * * * [misc]progress: [ 2 / 27 ] simplifiying candidate # 1544001369.271 * [enter]simplify: Simplifying (* (sqrt (+ x -1)) (sqrt x)) 1544001369.271 * * [misc]simplify: iters left: 5 (6 enodes) 1544001369.273 * * [misc]simplify: iters left: 4 (8 enodes) 1544001369.275 * [exit]simplify: Simplified to (* (sqrt (+ -1 x)) (sqrt x)) 1544001369.275 * [misc]simplify: Simplified (2 1) to (λ (x) (pow (* (sqrt (+ -1 x)) (sqrt x)) 1)) 1544001369.275 * * * * [misc]progress: [ 3 / 27 ] simplifiying candidate # 1544001369.275 * * * * [misc]progress: [ 4 / 27 ] simplifiying candidate # 1544001369.275 * [enter]simplify: Simplifying (+ (log (sqrt (+ x -1))) (log (sqrt x))) 1544001369.276 * * [misc]simplify: iters left: 6 (8 enodes) 1544001369.278 * * [misc]simplify: iters left: 5 (10 enodes) 1544001369.281 * [exit]simplify: Simplified to (+ (log (sqrt x)) (log (sqrt (+ -1 x)))) 1544001369.281 * [misc]simplify: Simplified (2 1) to (λ (x) (exp (+ (log (sqrt x)) (log (sqrt (+ -1 x)))))) 1544001369.281 * * * * [misc]progress: [ 5 / 27 ] simplifiying candidate # 1544001369.281 * * * * [misc]progress: [ 6 / 27 ] simplifiying candidate # 1544001369.281 * * * * [misc]progress: [ 7 / 27 ] simplifiying candidate # 1544001369.281 * [enter]simplify: Simplifying (* (* (* (sqrt (+ x -1)) (sqrt (+ x -1))) (sqrt (+ x -1))) (* (* (sqrt x) (sqrt x)) (sqrt x))) 1544001369.281 * * [misc]simplify: iters left: 6 (10 enodes) 1544001369.285 * * [misc]simplify: iters left: 5 (18 enodes) 1544001369.291 * * [misc]simplify: iters left: 4 (52 enodes) 1544001369.317 * * [misc]simplify: iters left: 3 (156 enodes) 1544001369.386 * * [misc]simplify: iters left: 2 (384 enodes) 1544001369.711 * [exit]simplify: Simplified to (* (+ -1 x) (* (* x (sqrt x)) (sqrt (+ -1 x)))) 1544001369.711 * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (* (+ -1 x) (* (* x (sqrt x)) (sqrt (+ -1 x)))))) 1544001369.711 * * * * [misc]progress: [ 8 / 27 ] simplifiying candidate # 1544001369.711 * * * * [misc]progress: [ 9 / 27 ] simplifiying candidate # 1544001369.711 * * * * [misc]progress: [ 10 / 27 ] simplifiying candidate # 1544001369.711 * [enter]simplify: Simplifying (* (+ x -1) x) 1544001369.711 * * [misc]simplify: iters left: 4 (4 enodes) 1544001369.712 * * [misc]simplify: iters left: 3 (6 enodes) 1544001369.714 * * [misc]simplify: iters left: 2 (13 enodes) 1544001369.716 * * [misc]simplify: iters left: 1 (14 enodes) 1544001369.718 * [exit]simplify: Simplified to (- (* x x) x) 1544001369.719 * [misc]simplify: Simplified (2 1) to (λ (x) (sqrt (- (* x x) x))) 1544001369.719 * * * * [misc]progress: [ 11 / 27 ] simplifiying candidate # 1544001369.719 * * * * [misc]progress: [ 12 / 27 ] simplifiying candidate # 1544001369.719 * * * * [misc]progress: [ 13 / 27 ] simplifiying candidate # 1544001369.719 * [enter]simplify: Simplifying (cbrt (sqrt x)) 1544001369.719 * * [misc]simplify: iters left: 2 (3 enodes) 1544001369.720 * [exit]simplify: Simplified to (cbrt (sqrt x)) 1544001369.720 * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (+ x -1)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (cbrt (sqrt x)))) 1544001369.720 * * * * [misc]progress: [ 14 / 27 ] simplifiying candidate # 1544001369.720 * [enter]simplify: Simplifying (sqrt (sqrt x)) 1544001369.720 * * [misc]simplify: iters left: 2 (3 enodes) 1544001369.721 * [exit]simplify: Simplified to (sqrt (sqrt x)) 1544001369.721 * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (+ x -1)) (sqrt (sqrt x))) (sqrt (sqrt x)))) 1544001369.721 * * * * [misc]progress: [ 15 / 27 ] simplifiying candidate # 1544001369.721 * [enter]simplify: Simplifying (sqrt x) 1544001369.721 * * [misc]simplify: iters left: 1 (2 enodes) 1544001369.721 * [exit]simplify: Simplified to (sqrt x) 1544001369.721 * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (+ x -1)) 1) (sqrt x))) 1544001369.721 * * * * [misc]progress: [ 16 / 27 ] simplifiying candidate # 1544001369.721 * [enter]simplify: Simplifying (* (cbrt (sqrt (+ x -1))) (cbrt (sqrt (+ x -1)))) 1544001369.722 * * [misc]simplify: iters left: 6 (6 enodes) 1544001369.723 * * [misc]simplify: iters left: 5 (7 enodes) 1544001369.724 * [exit]simplify: Simplified to (* (cbrt (sqrt (+ -1 x))) (cbrt (sqrt (+ -1 x)))) 1544001369.724 * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (+ -1 x))) (cbrt (sqrt (+ -1 x)))) (* (cbrt (sqrt (+ x -1))) (sqrt x)))) 1544001369.724 * * * * [misc]progress: [ 17 / 27 ] simplifiying candidate # 1544001369.724 * [enter]simplify: Simplifying (sqrt (* (cbrt (+ x -1)) (cbrt (+ x -1)))) 1544001369.724 * * [misc]simplify: iters left: 6 (6 enodes) 1544001369.726 * * [misc]simplify: iters left: 5 (8 enodes) 1544001369.727 * [exit]simplify: Simplified to (fabs (cbrt (+ -1 x))) 1544001369.727 * [misc]simplify: Simplified (2 1) to (λ (x) (* (fabs (cbrt (+ -1 x))) (* (sqrt (cbrt (+ x -1))) (sqrt x)))) 1544001369.727 * * * * [misc]progress: [ 18 / 27 ] simplifiying candidate # 1544001369.727 * [enter]simplify: Simplifying (sqrt (sqrt (+ x -1))) 1544001369.727 * * [misc]simplify: iters left: 4 (5 enodes) 1544001369.728 * * [misc]simplify: iters left: 3 (6 enodes) 1544001369.729 * [exit]simplify: Simplified to (sqrt (sqrt (+ -1 x))) 1544001369.729 * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (+ -1 x))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))) 1544001369.729 * * * * [misc]progress: [ 19 / 27 ] simplifiying candidate # 1544001369.729 * [enter]simplify: Simplifying (sqrt 1) 1544001369.729 * * [misc]simplify: iters left: 1 (2 enodes) 1544001369.730 * [exit]simplify: Simplified to 1 1544001369.730 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (* (sqrt (+ x -1)) (sqrt x)))) 1544001369.730 * * * * [misc]progress: [ 20 / 27 ] simplifiying candidate # 1544001369.730 * [enter]simplify: Simplifying (sqrt (sqrt (+ x -1))) 1544001369.730 * * [misc]simplify: iters left: 4 (5 enodes) 1544001369.731 * * [misc]simplify: iters left: 3 (6 enodes) 1544001369.732 * [exit]simplify: Simplified to (sqrt (sqrt (+ -1 x))) 1544001369.732 * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (+ -1 x))) (* (sqrt (sqrt (+ x -1))) (sqrt x)))) 1544001369.732 * * * * [misc]progress: [ 21 / 27 ] simplifiying candidate # 1544001369.732 * * * * [misc]progress: [ 22 / 27 ] simplifiying candidate # 1544001369.732 * [enter]simplify: Simplifying (* (sqrt (+ (pow x 3) (pow -1 3))) (sqrt x)) 1544001369.732 * * [misc]simplify: iters left: 6 (9 enodes) 1544001369.734 * * [misc]simplify: iters left: 5 (18 enodes) 1544001369.737 * * [misc]simplify: iters left: 4 (20 enodes) 1544001369.739 * [exit]simplify: Simplified to (* (sqrt x) (sqrt (+ (pow x 3) -1))) 1544001369.739 * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt x) (sqrt (+ (pow x 3) -1))) (sqrt (+ (* x x) (- (* -1 -1) (* x -1)))))) 1544001369.739 * * * * [misc]progress: [ 23 / 27 ] simplifiying candidate # 1544001369.739 * [enter]simplify: Simplifying (* (sqrt (- (* x x) (* -1 -1))) (sqrt x)) 1544001369.739 * * [misc]simplify: iters left: 6 (8 enodes) 1544001369.741 * * [misc]simplify: iters left: 5 (16 enodes) 1544001369.747 * * [misc]simplify: iters left: 4 (25 enodes) 1544001369.752 * * [misc]simplify: iters left: 3 (40 enodes) 1544001369.771 * * [misc]simplify: iters left: 2 (64 enodes) 1544001369.796 * * [misc]simplify: iters left: 1 (112 enodes) 1544001369.869 * [exit]simplify: Simplified to (* (sqrt (- (* x x) 1)) (sqrt x)) 1544001369.869 * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (- (* x x) 1)) (sqrt x)) (sqrt (- x -1)))) 1544001369.869 * * * * [misc]progress: [ 24 / 27 ] simplifiying candidate # 1544001369.870 * * * * [misc]progress: [ 25 / 27 ] simplifiying candidate # 1544001369.870 * [enter]simplify: Simplifying (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) 1544001369.870 * [misc]simplify: Simplified (2) to (λ (x) +nan.0) 1544001369.870 * * * * [misc]progress: [ 26 / 27 ] simplifiying candidate # 1544001369.870 * [enter]simplify: Simplifying (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1544001369.870 * * [misc]simplify: iters left: 6 (8 enodes) 1544001369.874 * * [misc]simplify: iters left: 5 (18 enodes) 1544001369.880 * * [misc]simplify: iters left: 4 (29 enodes) 1544001369.890 * * [misc]simplify: iters left: 3 (55 enodes) 1544001369.906 * * [misc]simplify: iters left: 2 (77 enodes) 1544001369.923 * * [misc]simplify: iters left: 1 (98 enodes) 1544001369.959 * [exit]simplify: Simplified to (+ (/ -1/8 x) (+ x -1/2)) 1544001369.959 * [misc]simplify: Simplified (2) to (λ (x) (+ (/ -1/8 x) (+ x -1/2))) 1544001369.960 * * * * [misc]progress: [ 27 / 27 ] simplifiying candidate # 1544001369.960 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1544001369.960 * [misc]simplify: Simplified (2) to (λ (x) +nan.0) 1544001369.960 * * * [misc]progress: adding candidates to table 1544001370.173 * * [misc]progress: iteration 2 / 4 1544001370.174 * * * [misc]progress: picking best candidate 1544001370.183 * * * * [misc]pick: Picked # 1544001370.184 * * * [misc]progress: localizing error 1544001370.190 * * * [misc]progress: generating rewritten candidates 1544001370.191 * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) 1544001370.202 * * * [misc]progress: generating series expansions 1544001370.202 * * * * [misc]progress: [ 1 / 1 ] generating series at (2) 1544001370.202 * [misc]backup-simplify: Simplify (* (sqrt x) (sqrt (+ x -1))) into (sqrt (* x (- x 1))) 1544001370.202 * [misc]approximate: Taking taylor expansion of (sqrt (* x (- x 1))) in (x) around 0 1544001370.202 * [misc]taylor: Taking taylor expansion of (sqrt (* x (- x 1))) in x 1544001370.202 * [misc]taylor: Taking taylor expansion of (* x (- x 1)) in x 1544001370.202 * [misc]taylor: Taking taylor expansion of x in x 1544001370.202 * [misc]backup-simplify: Simplify 0 into 0 1544001370.202 * [misc]backup-simplify: Simplify 1 into 1 1544001370.202 * [misc]taylor: Taking taylor expansion of (- x 1) in x 1544001370.202 * [misc]taylor: Taking taylor expansion of x in x 1544001370.202 * [misc]backup-simplify: Simplify 0 into 0 1544001370.202 * [misc]backup-simplify: Simplify 1 into 1 1544001370.202 * [misc]taylor: Taking taylor expansion of 1 in x 1544001370.202 * [misc]backup-simplify: Simplify 1 into 1 1544001370.203 * [misc]backup-simplify: Simplify (- 1) into -1 1544001370.203 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544001370.203 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1544001370.203 * [misc]backup-simplify: Simplify (- 0) into 0 1544001370.204 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544001370.204 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1544001370.204 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544001370.205 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544001370.205 * [misc]taylor: Taking taylor expansion of (sqrt (* x (- x 1))) in x 1544001370.205 * [misc]taylor: Taking taylor expansion of (* x (- x 1)) in x 1544001370.205 * [misc]taylor: Taking taylor expansion of x in x 1544001370.205 * [misc]backup-simplify: Simplify 0 into 0 1544001370.205 * [misc]backup-simplify: Simplify 1 into 1 1544001370.205 * [misc]taylor: Taking taylor expansion of (- x 1) in x 1544001370.205 * [misc]taylor: Taking taylor expansion of x in x 1544001370.205 * [misc]backup-simplify: Simplify 0 into 0 1544001370.205 * [misc]backup-simplify: Simplify 1 into 1 1544001370.205 * [misc]taylor: Taking taylor expansion of 1 in x 1544001370.205 * [misc]backup-simplify: Simplify 1 into 1 1544001370.205 * [misc]backup-simplify: Simplify (- 1) into -1 1544001370.205 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544001370.205 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1544001370.206 * [misc]backup-simplify: Simplify (- 0) into 0 1544001370.206 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544001370.206 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1544001370.206 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544001370.207 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544001370.207 * [misc]backup-simplify: Simplify 0 into 0 1544001370.207 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544001370.207 * [misc]backup-simplify: Simplify (- 0) into 0 1544001370.207 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544001370.207 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1544001370.208 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544001370.209 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544001370.209 * [misc]backup-simplify: Simplify (- 0) into 0 1544001370.209 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544001370.209 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1544001370.210 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544001370.210 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544001370.211 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow x 3)) (+ (* +nan.0 (pow x 2)) (* +nan.0 x))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) 1544001370.211 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) -1))) into (sqrt (/ (- (/ 1 x) 1) x)) 1544001370.211 * [misc]approximate: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in (x) around 0 1544001370.211 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 1544001370.211 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 1544001370.211 * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x 1544001370.211 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x 1544001370.211 * [misc]taylor: Taking taylor expansion of x in x 1544001370.211 * [misc]backup-simplify: Simplify 0 into 0 1544001370.211 * [misc]backup-simplify: Simplify 1 into 1 1544001370.211 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544001370.212 * [misc]taylor: Taking taylor expansion of 1 in x 1544001370.212 * [misc]backup-simplify: Simplify 1 into 1 1544001370.212 * [misc]taylor: Taking taylor expansion of x in x 1544001370.212 * [misc]backup-simplify: Simplify 0 into 0 1544001370.212 * [misc]backup-simplify: Simplify 1 into 1 1544001370.212 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544001370.212 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544001370.212 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1544001370.212 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544001370.213 * [misc]backup-simplify: Simplify (- 1) into -1 1544001370.213 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544001370.213 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 1544001370.213 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1544001370.213 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 1544001370.213 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 1544001370.213 * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x 1544001370.213 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x 1544001370.213 * [misc]taylor: Taking taylor expansion of x in x 1544001370.213 * [misc]backup-simplify: Simplify 0 into 0 1544001370.213 * [misc]backup-simplify: Simplify 1 into 1 1544001370.214 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544001370.214 * [misc]taylor: Taking taylor expansion of 1 in x 1544001370.214 * [misc]backup-simplify: Simplify 1 into 1 1544001370.214 * [misc]taylor: Taking taylor expansion of x in x 1544001370.214 * [misc]backup-simplify: Simplify 0 into 0 1544001370.214 * [misc]backup-simplify: Simplify 1 into 1 1544001370.214 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544001370.214 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544001370.214 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1544001370.214 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544001370.215 * [misc]backup-simplify: Simplify (- 1) into -1 1544001370.215 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544001370.215 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 1544001370.215 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1544001370.215 * [misc]backup-simplify: Simplify 1 into 1 1544001370.215 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544001370.216 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544001370.216 * [misc]backup-simplify: Simplify (- 0) into 0 1544001370.216 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544001370.217 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)))) into 0 1544001370.218 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1544001370.218 * [misc]backup-simplify: Simplify -1/8 into -1/8 1544001370.218 * [misc]backup-simplify: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1544001370.218 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (- x))) (sqrt (+ (/ 1 (- x)) -1))) into (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) 1544001370.218 * [misc]approximate: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in (x) around 0 1544001370.218 * [misc]taylor: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x 1544001370.218 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 1544001370.218 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 1544001370.218 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x 1544001370.218 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x 1544001370.218 * [misc]taylor: Taking taylor expansion of x in x 1544001370.218 * [misc]backup-simplify: Simplify 0 into 0 1544001370.218 * [misc]backup-simplify: Simplify 1 into 1 1544001370.219 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544001370.219 * [misc]taylor: Taking taylor expansion of 1 in x 1544001370.219 * [misc]backup-simplify: Simplify 1 into 1 1544001370.219 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544001370.219 * [misc]backup-simplify: Simplify (- 1) into -1 1544001370.219 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544001370.219 * [misc]backup-simplify: Simplify (- 1) into -1 1544001370.220 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544001370.220 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 x)) in x 1544001370.220 * [misc]taylor: Taking taylor expansion of (/ -1 x) in x 1544001370.220 * [misc]taylor: Taking taylor expansion of -1 in x 1544001370.220 * [misc]backup-simplify: Simplify -1 into -1 1544001370.220 * [misc]taylor: Taking taylor expansion of x in x 1544001370.220 * [misc]backup-simplify: Simplify 0 into 0 1544001370.220 * [misc]backup-simplify: Simplify 1 into 1 1544001370.220 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544001370.220 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544001370.221 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544001370.221 * [misc]taylor: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (/ -1 x))) in x 1544001370.221 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 1544001370.221 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 1544001370.221 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x 1544001370.221 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x 1544001370.221 * [misc]taylor: Taking taylor expansion of x in x 1544001370.221 * [misc]backup-simplify: Simplify 0 into 0 1544001370.221 * [misc]backup-simplify: Simplify 1 into 1 1544001370.221 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544001370.221 * [misc]taylor: Taking taylor expansion of 1 in x 1544001370.221 * [misc]backup-simplify: Simplify 1 into 1 1544001370.221 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544001370.221 * [misc]backup-simplify: Simplify (- 1) into -1 1544001370.222 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544001370.222 * [misc]backup-simplify: Simplify (- 1) into -1 1544001370.222 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544001370.222 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 x)) in x 1544001370.222 * [misc]taylor: Taking taylor expansion of (/ -1 x) in x 1544001370.222 * [misc]taylor: Taking taylor expansion of -1 in x 1544001370.222 * [misc]backup-simplify: Simplify -1 into -1 1544001370.222 * [misc]taylor: Taking taylor expansion of x in x 1544001370.222 * [misc]backup-simplify: Simplify 0 into 0 1544001370.222 * [misc]backup-simplify: Simplify 1 into 1 1544001370.223 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544001370.223 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544001370.223 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544001370.223 * [misc]backup-simplify: Simplify (* 0 0) into 0 1544001370.223 * [misc]backup-simplify: Simplify 0 into 0 1544001370.224 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 1544001370.224 * [misc]backup-simplify: Simplify 0 into 0 1544001370.224 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544001370.225 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544001370.226 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544001370.226 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1544001370.226 * [misc]backup-simplify: Simplify (- 1) into -1 1544001370.227 * [misc]backup-simplify: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544001370.228 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 1544001370.228 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1544001370.228 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544001370.230 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544001370.230 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544001370.230 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544001370.230 * [misc]backup-simplify: Simplify (- 0) into 0 1544001370.232 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544001370.233 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 1544001370.233 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1544001370.234 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544001370.236 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544001370.236 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544001370.236 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544001370.236 * [misc]backup-simplify: Simplify (- 0) into 0 1544001370.238 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544001370.240 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 1544001370.240 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1544001370.240 * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1544001370.240 * * * [misc]progress: simplifying candidates 1544001370.241 * * * * [misc]progress: [ 1 / 27 ] simplifiying candidate # 1544001370.241 * [enter]simplify: Simplifying (* x (+ x -1)) 1544001370.241 * * [misc]simplify: iters left: 4 (4 enodes) 1544001370.242 * * [misc]simplify: iters left: 3 (11 enodes) 1544001370.246 * * [misc]simplify: iters left: 2 (14 enodes) 1544001370.249 * * [misc]simplify: iters left: 1 (15 enodes) 1544001370.253 * [exit]simplify: Simplified to (- (* x x) x) 1544001370.253 * [misc]simplify: Simplified (2 1) to (λ (x) (pow (- (* x x) x) 1/2)) 1544001370.253 * * * * [misc]progress: [ 2 / 27 ] simplifiying candidate # 1544001370.253 * [enter]simplify: Simplifying (* (sqrt x) (sqrt (+ x -1))) 1544001370.253 * * [misc]simplify: iters left: 5 (6 enodes) 1544001370.255 * * [misc]simplify: iters left: 4 (8 enodes) 1544001370.257 * [exit]simplify: Simplified to (* (sqrt x) (sqrt (+ x -1))) 1544001370.257 * [misc]simplify: Simplified (2 1) to (λ (x) (pow (* (sqrt x) (sqrt (+ x -1))) 1)) 1544001370.257 * * * * [misc]progress: [ 3 / 27 ] simplifiying candidate # 1544001370.257 * * * * [misc]progress: [ 4 / 27 ] simplifiying candidate # 1544001370.257 * [enter]simplify: Simplifying (+ (log (sqrt x)) (log (sqrt (+ x -1)))) 1544001370.258 * * [misc]simplify: iters left: 6 (8 enodes) 1544001370.260 * * [misc]simplify: iters left: 5 (10 enodes) 1544001370.262 * [exit]simplify: Simplified to (+ (log (sqrt x)) (log (sqrt (+ -1 x)))) 1544001370.263 * [misc]simplify: Simplified (2 1) to (λ (x) (exp (+ (log (sqrt x)) (log (sqrt (+ -1 x)))))) 1544001370.263 * * * * [misc]progress: [ 5 / 27 ] simplifiying candidate # 1544001370.263 * * * * [misc]progress: [ 6 / 27 ] simplifiying candidate # 1544001370.263 * * * * [misc]progress: [ 7 / 27 ] simplifiying candidate # 1544001370.263 * [enter]simplify: Simplifying (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (+ x -1)) (sqrt (+ x -1))) (sqrt (+ x -1)))) 1544001370.263 * * [misc]simplify: iters left: 6 (10 enodes) 1544001370.267 * * [misc]simplify: iters left: 5 (18 enodes) 1544001370.275 * * [misc]simplify: iters left: 4 (58 enodes) 1544001370.305 * * [misc]simplify: iters left: 3 (190 enodes) 1544001370.394 * * [misc]simplify: iters left: 2 (486 enodes) 1544001370.605 * [exit]simplify: Simplified to (* (* (* x (sqrt x)) (sqrt (+ x -1))) (+ x -1)) 1544001370.605 * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (* (* (* x (sqrt x)) (sqrt (+ x -1))) (+ x -1)))) 1544001370.605 * * * * [misc]progress: [ 8 / 27 ] simplifiying candidate # 1544001370.605 * * * * [misc]progress: [ 9 / 27 ] simplifiying candidate # 1544001370.605 * * * * [misc]progress: [ 10 / 27 ] simplifiying candidate # 1544001370.606 * [enter]simplify: Simplifying (* x (+ x -1)) 1544001370.606 * * [misc]simplify: iters left: 4 (4 enodes) 1544001370.607 * * [misc]simplify: iters left: 3 (11 enodes) 1544001370.611 * * [misc]simplify: iters left: 2 (14 enodes) 1544001370.614 * * [misc]simplify: iters left: 1 (15 enodes) 1544001370.618 * [exit]simplify: Simplified to (- (* x x) x) 1544001370.618 * [misc]simplify: Simplified (2 1) to (λ (x) (sqrt (- (* x x) x))) 1544001370.618 * * * * [misc]progress: [ 11 / 27 ] simplifiying candidate # 1544001370.618 * * * * [misc]progress: [ 12 / 27 ] simplifiying candidate # 1544001370.618 * * * * [misc]progress: [ 13 / 27 ] simplifiying candidate # 1544001370.618 * [enter]simplify: Simplifying (cbrt (sqrt (+ x -1))) 1544001370.619 * * [misc]simplify: iters left: 4 (5 enodes) 1544001370.620 * * [misc]simplify: iters left: 3 (6 enodes) 1544001370.622 * [exit]simplify: Simplified to (cbrt (sqrt (+ -1 x))) 1544001370.622 * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt x) (* (cbrt (sqrt (+ x -1))) (cbrt (sqrt (+ x -1))))) (cbrt (sqrt (+ -1 x))))) 1544001370.622 * * * * [misc]progress: [ 14 / 27 ] simplifiying candidate # 1544001370.622 * [enter]simplify: Simplifying (sqrt (cbrt (+ x -1))) 1544001370.622 * * [misc]simplify: iters left: 4 (5 enodes) 1544001370.624 * * [misc]simplify: iters left: 3 (6 enodes) 1544001370.625 * [exit]simplify: Simplified to (sqrt (cbrt (+ -1 x))) 1544001370.625 * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt x) (sqrt (* (cbrt (+ x -1)) (cbrt (+ x -1))))) (sqrt (cbrt (+ -1 x))))) 1544001370.625 * * * * [misc]progress: [ 15 / 27 ] simplifiying candidate # 1544001370.625 * [enter]simplify: Simplifying (sqrt (sqrt (+ x -1))) 1544001370.626 * * [misc]simplify: iters left: 4 (5 enodes) 1544001370.627 * * [misc]simplify: iters left: 3 (6 enodes) 1544001370.629 * [exit]simplify: Simplified to (sqrt (sqrt (+ -1 x))) 1544001370.629 * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt x) (sqrt (sqrt (+ x -1)))) (sqrt (sqrt (+ -1 x))))) 1544001370.629 * * * * [misc]progress: [ 16 / 27 ] simplifiying candidate # 1544001370.629 * [enter]simplify: Simplifying (sqrt (+ x -1)) 1544001370.629 * * [misc]simplify: iters left: 3 (4 enodes) 1544001370.631 * * [misc]simplify: iters left: 2 (5 enodes) 1544001370.632 * [exit]simplify: Simplified to (sqrt (+ -1 x)) 1544001370.632 * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt x) (sqrt 1)) (sqrt (+ -1 x)))) 1544001370.632 * * * * [misc]progress: [ 17 / 27 ] simplifiying candidate # 1544001370.632 * [enter]simplify: Simplifying (sqrt (sqrt (+ x -1))) 1544001370.632 * * [misc]simplify: iters left: 4 (5 enodes) 1544001370.634 * * [misc]simplify: iters left: 3 (6 enodes) 1544001370.635 * [exit]simplify: Simplified to (sqrt (sqrt (+ -1 x))) 1544001370.635 * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt x) (sqrt (sqrt (+ x -1)))) (sqrt (sqrt (+ -1 x))))) 1544001370.635 * * * * [misc]progress: [ 18 / 27 ] simplifiying candidate # 1544001370.636 * [enter]simplify: Simplifying (sqrt (+ x -1)) 1544001370.636 * * [misc]simplify: iters left: 3 (4 enodes) 1544001370.637 * * [misc]simplify: iters left: 2 (5 enodes) 1544001370.638 * [exit]simplify: Simplified to (sqrt (+ -1 x)) 1544001370.638 * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt x) 1) (sqrt (+ -1 x)))) 1544001370.638 * * * * [misc]progress: [ 19 / 27 ] simplifiying candidate # 1544001370.639 * [enter]simplify: Simplifying (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1544001370.639 * * [misc]simplify: iters left: 4 (4 enodes) 1544001370.640 * [exit]simplify: Simplified to (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1544001370.640 * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (+ x -1))))) 1544001370.640 * * * * [misc]progress: [ 20 / 27 ] simplifiying candidate # 1544001370.640 * [enter]simplify: Simplifying (sqrt (sqrt x)) 1544001370.640 * * [misc]simplify: iters left: 2 (3 enodes) 1544001370.641 * [exit]simplify: Simplified to (sqrt (sqrt x)) 1544001370.641 * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (+ x -1))))) 1544001370.641 * * * * [misc]progress: [ 21 / 27 ] simplifiying candidate # 1544001370.641 * * * * [misc]progress: [ 22 / 27 ] simplifiying candidate # 1544001370.642 * [enter]simplify: Simplifying (sqrt (+ (* x x) (- (* -1 -1) (* x -1)))) 1544001370.642 * * [misc]simplify: iters left: 6 (8 enodes) 1544001370.646 * * [misc]simplify: iters left: 5 (18 enodes) 1544001370.654 * * [misc]simplify: iters left: 4 (42 enodes) 1544001370.667 * * [misc]simplify: iters left: 3 (63 enodes) 1544001370.683 * * [misc]simplify: iters left: 2 (95 enodes) 1544001370.734 * * [misc]simplify: iters left: 1 (147 enodes) 1544001370.780 * [exit]simplify: Simplified to (sqrt (- (* x x) (- -1 x))) 1544001370.780 * [misc]simplify: Simplified (2 2) to (λ (x) (/ (* (sqrt x) (sqrt (+ (pow x 3) (pow -1 3)))) (sqrt (- (* x x) (- -1 x))))) 1544001370.780 * * * * [misc]progress: [ 23 / 27 ] simplifiying candidate # 1544001370.781 * [enter]simplify: Simplifying (sqrt (- x -1)) 1544001370.781 * * [misc]simplify: iters left: 3 (4 enodes) 1544001370.783 * * [misc]simplify: iters left: 2 (7 enodes) 1544001370.786 * * [misc]simplify: iters left: 1 (10 enodes) 1544001370.788 * [exit]simplify: Simplified to (sqrt (+ x 1)) 1544001370.788 * [misc]simplify: Simplified (2 2) to (λ (x) (/ (* (sqrt x) (sqrt (- (* x x) (* -1 -1)))) (sqrt (+ x 1)))) 1544001370.788 * * * * [misc]progress: [ 24 / 27 ] simplifiying candidate # 1544001370.788 * * * * [misc]progress: [ 25 / 27 ] simplifiying candidate # 1544001370.789 * [enter]simplify: Simplifying (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) 1544001370.789 * [misc]simplify: Simplified (2) to (λ (x) +nan.0) 1544001370.789 * * * * [misc]progress: [ 26 / 27 ] simplifiying candidate # 1544001370.789 * [enter]simplify: Simplifying (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1544001370.789 * * [misc]simplify: iters left: 6 (8 enodes) 1544001370.793 * * [misc]simplify: iters left: 5 (18 enodes) 1544001370.799 * * [misc]simplify: iters left: 4 (29 enodes) 1544001370.810 * * [misc]simplify: iters left: 3 (55 enodes) 1544001370.827 * * [misc]simplify: iters left: 2 (77 enodes) 1544001370.845 * * [misc]simplify: iters left: 1 (98 enodes) 1544001370.872 * [exit]simplify: Simplified to (+ (/ -1/8 x) (+ x -1/2)) 1544001370.872 * [misc]simplify: Simplified (2) to (λ (x) (+ (/ -1/8 x) (+ x -1/2))) 1544001370.872 * * * * [misc]progress: [ 27 / 27 ] simplifiying candidate # 1544001370.872 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1544001370.872 * [misc]simplify: Simplified (2) to (λ (x) +nan.0) 1544001370.873 * * * [misc]progress: adding candidates to table 1544001371.014 * * [misc]progress: iteration 3 / 4 1544001371.014 * * * [misc]progress: picking best candidate 1544001371.020 * * * * [misc]pick: Picked # 1544001371.020 * * * [misc]progress: localizing error 1544001371.040 * * * [misc]progress: generating rewritten candidates 1544001371.040 * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) 1544001371.049 * * * [misc]progress: generating series expansions 1544001371.049 * * * * [misc]progress: [ 1 / 1 ] generating series at (2) 1544001371.049 * [misc]backup-simplify: Simplify (+ (/ -1/8 x) (+ x -1/2)) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1544001371.049 * [misc]approximate: Taking taylor expansion of (- x (+ (* 1/8 (/ 1 x)) 1/2)) in (x) around 0 1544001371.049 * [misc]taylor: Taking taylor expansion of (- x (+ (* 1/8 (/ 1 x)) 1/2)) in x 1544001371.049 * [misc]taylor: Taking taylor expansion of x in x 1544001371.049 * [misc]backup-simplify: Simplify 0 into 0 1544001371.049 * [misc]backup-simplify: Simplify 1 into 1 1544001371.049 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (/ 1 x)) 1/2) in x 1544001371.049 * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x 1544001371.049 * [misc]taylor: Taking taylor expansion of 1/8 in x 1544001371.049 * [misc]backup-simplify: Simplify 1/8 into 1/8 1544001371.049 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x 1544001371.049 * [misc]taylor: Taking taylor expansion of x in x 1544001371.049 * [misc]backup-simplify: Simplify 0 into 0 1544001371.049 * [misc]backup-simplify: Simplify 1 into 1 1544001371.050 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544001371.050 * [misc]taylor: Taking taylor expansion of 1/2 in x 1544001371.050 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544001371.050 * [misc]taylor: Taking taylor expansion of (- x (+ (* 1/8 (/ 1 x)) 1/2)) in x 1544001371.050 * [misc]taylor: Taking taylor expansion of x in x 1544001371.050 * [misc]backup-simplify: Simplify 0 into 0 1544001371.050 * [misc]backup-simplify: Simplify 1 into 1 1544001371.050 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (/ 1 x)) 1/2) in x 1544001371.050 * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x 1544001371.050 * [misc]taylor: Taking taylor expansion of 1/8 in x 1544001371.050 * [misc]backup-simplify: Simplify 1/8 into 1/8 1544001371.050 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x 1544001371.050 * [misc]taylor: Taking taylor expansion of x in x 1544001371.050 * [misc]backup-simplify: Simplify 0 into 0 1544001371.050 * [misc]backup-simplify: Simplify 1 into 1 1544001371.051 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544001371.051 * [misc]taylor: Taking taylor expansion of 1/2 in x 1544001371.051 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544001371.051 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 1544001371.051 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 1544001371.051 * [misc]backup-simplify: Simplify (- 1/8) into -1/8 1544001371.051 * [misc]backup-simplify: Simplify (+ 0 -1/8) into -1/8 1544001371.051 * [misc]backup-simplify: Simplify -1/8 into -1/8 1544001371.052 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544001371.052 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 1)) into 0 1544001371.052 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544001371.052 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544001371.052 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544001371.052 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544001371.053 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544001371.053 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 1544001371.053 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544001371.053 * [misc]backup-simplify: Simplify (- 0) into 0 1544001371.054 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544001371.054 * [misc]backup-simplify: Simplify 1 into 1 1544001371.054 * [misc]backup-simplify: Simplify (+ (* 1 x) (+ -1/2 (* -1/8 (/ 1 x)))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1544001371.054 * [misc]backup-simplify: Simplify (+ (/ -1/8 (/ 1 x)) (+ (/ 1 x) -1/2)) into (- (/ 1 x) (+ (* 1/8 x) 1/2)) 1544001371.054 * [misc]approximate: Taking taylor expansion of (- (/ 1 x) (+ (* 1/8 x) 1/2)) in (x) around 0 1544001371.054 * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (+ (* 1/8 x) 1/2)) in x 1544001371.054 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x 1544001371.054 * [misc]taylor: Taking taylor expansion of x in x 1544001371.054 * [misc]backup-simplify: Simplify 0 into 0 1544001371.054 * [misc]backup-simplify: Simplify 1 into 1 1544001371.054 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544001371.054 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 x) 1/2) in x 1544001371.054 * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x 1544001371.054 * [misc]taylor: Taking taylor expansion of 1/8 in x 1544001371.054 * [misc]backup-simplify: Simplify 1/8 into 1/8 1544001371.055 * [misc]taylor: Taking taylor expansion of x in x 1544001371.055 * [misc]backup-simplify: Simplify 0 into 0 1544001371.055 * [misc]backup-simplify: Simplify 1 into 1 1544001371.055 * [misc]taylor: Taking taylor expansion of 1/2 in x 1544001371.055 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544001371.055 * [misc]taylor: Taking taylor expansion of (- (/ 1 x) (+ (* 1/8 x) 1/2)) in x 1544001371.055 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x 1544001371.055 * [misc]taylor: Taking taylor expansion of x in x 1544001371.055 * [misc]backup-simplify: Simplify 0 into 0 1544001371.055 * [misc]backup-simplify: Simplify 1 into 1 1544001371.055 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544001371.055 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 x) 1/2) in x 1544001371.055 * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x 1544001371.055 * [misc]taylor: Taking taylor expansion of 1/8 in x 1544001371.055 * [misc]backup-simplify: Simplify 1/8 into 1/8 1544001371.055 * [misc]taylor: Taking taylor expansion of x in x 1544001371.055 * [misc]backup-simplify: Simplify 0 into 0 1544001371.055 * [misc]backup-simplify: Simplify 1 into 1 1544001371.055 * [misc]taylor: Taking taylor expansion of 1/2 in x 1544001371.055 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544001371.055 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544001371.055 * [misc]backup-simplify: Simplify 1 into 1 1544001371.056 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544001371.056 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1544001371.056 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544001371.056 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544001371.056 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544001371.056 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544001371.057 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544001371.057 * [misc]backup-simplify: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 1544001371.057 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 1544001371.057 * [misc]backup-simplify: Simplify (- 1/8) into -1/8 1544001371.057 * [misc]backup-simplify: Simplify (+ 0 -1/8) into -1/8 1544001371.057 * [misc]backup-simplify: Simplify -1/8 into -1/8 1544001371.058 * [misc]backup-simplify: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1544001371.058 * [misc]backup-simplify: Simplify (+ (/ -1/8 (/ 1 (- x))) (+ (/ 1 (- x)) -1/2)) into (- (* 1/8 x) (+ (/ 1 x) 1/2)) 1544001371.058 * [misc]approximate: Taking taylor expansion of (- (* 1/8 x) (+ (/ 1 x) 1/2)) in (x) around 0 1544001371.058 * [misc]taylor: Taking taylor expansion of (- (* 1/8 x) (+ (/ 1 x) 1/2)) in x 1544001371.058 * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x 1544001371.058 * [misc]taylor: Taking taylor expansion of 1/8 in x 1544001371.058 * [misc]backup-simplify: Simplify 1/8 into 1/8 1544001371.058 * [misc]taylor: Taking taylor expansion of x in x 1544001371.058 * [misc]backup-simplify: Simplify 0 into 0 1544001371.058 * [misc]backup-simplify: Simplify 1 into 1 1544001371.058 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1/2) in x 1544001371.058 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x 1544001371.058 * [misc]taylor: Taking taylor expansion of x in x 1544001371.058 * [misc]backup-simplify: Simplify 0 into 0 1544001371.058 * [misc]backup-simplify: Simplify 1 into 1 1544001371.058 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544001371.058 * [misc]taylor: Taking taylor expansion of 1/2 in x 1544001371.058 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544001371.058 * [misc]taylor: Taking taylor expansion of (- (* 1/8 x) (+ (/ 1 x) 1/2)) in x 1544001371.059 * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x 1544001371.059 * [misc]taylor: Taking taylor expansion of 1/8 in x 1544001371.059 * [misc]backup-simplify: Simplify 1/8 into 1/8 1544001371.059 * [misc]taylor: Taking taylor expansion of x in x 1544001371.059 * [misc]backup-simplify: Simplify 0 into 0 1544001371.059 * [misc]backup-simplify: Simplify 1 into 1 1544001371.059 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1/2) in x 1544001371.059 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x 1544001371.059 * [misc]taylor: Taking taylor expansion of x in x 1544001371.059 * [misc]backup-simplify: Simplify 0 into 0 1544001371.059 * [misc]backup-simplify: Simplify 1 into 1 1544001371.059 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544001371.059 * [misc]taylor: Taking taylor expansion of 1/2 in x 1544001371.059 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544001371.060 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544001371.060 * [misc]backup-simplify: Simplify (- 1) into -1 1544001371.060 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544001371.060 * [misc]backup-simplify: Simplify -1 into -1 1544001371.060 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1544001371.060 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544001371.060 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544001371.061 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544001371.061 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544001371.061 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544001371.061 * [misc]backup-simplify: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 1544001371.061 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544001371.061 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544001371.062 * [misc]backup-simplify: Simplify (- 0) into 0 1544001371.062 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 1544001371.062 * [misc]backup-simplify: Simplify 1/8 into 1/8 1544001371.062 * [misc]backup-simplify: Simplify (+ (* 1/8 (/ 1 (- x))) (+ -1/2 (* -1 (/ 1 (/ 1 (- x)))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1544001371.062 * * * [misc]progress: simplifying candidates 1544001371.062 * * * * [misc]progress: [ 1 / 18 ] simplifiying candidate # 1544001371.062 * [enter]simplify: Simplifying (* (exp (/ -1/8 x)) (exp (+ x -1/2))) 1544001371.063 * * [misc]simplify: iters left: 5 (8 enodes) 1544001371.066 * * [misc]simplify: iters left: 4 (15 enodes) 1544001371.071 * * [misc]simplify: iters left: 3 (26 enodes) 1544001371.078 * * [misc]simplify: iters left: 2 (38 enodes) 1544001371.088 * * [misc]simplify: iters left: 1 (44 enodes) 1544001371.098 * [exit]simplify: Simplified to (exp (+ (+ x -1/2) (/ -1/8 x))) 1544001371.098 * [misc]simplify: Simplified (2 1) to (λ (x) (log (exp (+ (+ x -1/2) (/ -1/8 x))))) 1544001371.098 * * * * [misc]progress: [ 2 / 18 ] simplifiying candidate # 1544001371.099 * * * * [misc]progress: [ 3 / 18 ] simplifiying candidate # 1544001371.099 * * * * [misc]progress: [ 4 / 18 ] simplifiying candidate # 1544001371.099 * * * * [misc]progress: [ 5 / 18 ] simplifiying candidate # 1544001371.099 * * * * [misc]progress: [ 6 / 18 ] simplifiying candidate # 1544001371.099 * * * * [misc]progress: [ 7 / 18 ] simplifiying candidate # 1544001371.099 * * * * [misc]progress: [ 8 / 18 ] simplifiying candidate # 1544001371.099 * [enter]simplify: Simplifying (+ (* -1/8 (+ (* x x) (- (* -1/2 -1/2) (* x -1/2)))) (* x (+ (pow x 3) (pow -1/2 3)))) 1544001371.099 * * [misc]simplify: iters left: 6 (15 enodes) 1544001371.107 * * [misc]simplify: iters left: 5 (44 enodes) 1544001371.126 * * [misc]simplify: iters left: 4 (120 enodes) 1544001371.179 * * [misc]simplify: iters left: 3 (272 enodes) 1544001371.343 * [exit]simplify: Simplified to (+ (+ (* -1/8 x) (* 1/16 (- -1/2 x))) (* (* x x) (+ -1/8 (* x x)))) 1544001371.343 * [misc]simplify: Simplified (2 1) to (λ (x) (/ (+ (+ (* -1/8 x) (* 1/16 (- -1/2 x))) (* (* x x) (+ -1/8 (* x x)))) (* x (+ (* x x) (- (* -1/2 -1/2) (* x -1/2)))))) 1544001371.343 * [enter]simplify: Simplifying (* x (+ (* x x) (- (* -1/2 -1/2) (* x -1/2)))) 1544001371.343 * * [misc]simplify: iters left: 6 (8 enodes) 1544001371.347 * * [misc]simplify: iters left: 5 (24 enodes) 1544001371.356 * * [misc]simplify: iters left: 4 (61 enodes) 1544001371.371 * * [misc]simplify: iters left: 3 (124 enodes) 1544001371.402 * * [misc]simplify: iters left: 2 (182 enodes) 1544001371.444 * * [misc]simplify: iters left: 1 (236 enodes) 1544001371.490 * [exit]simplify: Simplified to (- (* 1/4 x) (* (* x x) (- -1/2 x))) 1544001371.490 * [misc]simplify: Simplified (2 2) to (λ (x) (/ (+ (+ (* -1/8 x) (* 1/16 (- -1/2 x))) (* (* x x) (+ -1/8 (* x x)))) (- (* 1/4 x) (* (* x x) (- -1/2 x))))) 1544001371.490 * * * * [misc]progress: [ 9 / 18 ] simplifiying candidate # 1544001371.491 * [enter]simplify: Simplifying (+ (* -1/8 (- x -1/2)) (* x (- (* x x) (* -1/2 -1/2)))) 1544001371.491 * * [misc]simplify: iters left: 6 (10 enodes) 1544001371.493 * * [misc]simplify: iters left: 5 (22 enodes) 1544001371.498 * * [misc]simplify: iters left: 4 (48 enodes) 1544001371.522 * * [misc]simplify: iters left: 3 (133 enodes) 1544001371.560 * * [misc]simplify: iters left: 2 (304 enodes) 1544001371.738 * [exit]simplify: Simplified to (+ (+ -1/16 (pow x 3)) (* x -3/8)) 1544001371.738 * [misc]simplify: Simplified (2 1) to (λ (x) (/ (+ (+ -1/16 (pow x 3)) (* x -3/8)) (* x (- x -1/2)))) 1544001371.738 * [enter]simplify: Simplifying (* x (- x -1/2)) 1544001371.738 * * [misc]simplify: iters left: 4 (4 enodes) 1544001371.739 * * [misc]simplify: iters left: 3 (8 enodes) 1544001371.740 * * [misc]simplify: iters left: 2 (14 enodes) 1544001371.742 * * [misc]simplify: iters left: 1 (18 enodes) 1544001371.746 * [exit]simplify: Simplified to (* x (+ x 1/2)) 1544001371.746 * [misc]simplify: Simplified (2 2) to (λ (x) (/ (+ (+ -1/16 (pow x 3)) (* x -3/8)) (* x (+ x 1/2)))) 1544001371.746 * * * * [misc]progress: [ 10 / 18 ] simplifiying candidate # 1544001371.746 * * * * [misc]progress: [ 11 / 18 ] simplifiying candidate # 1544001371.746 * * * * [misc]progress: [ 12 / 18 ] simplifiying candidate # 1544001371.746 * * * * [misc]progress: [ 13 / 18 ] simplifiying candidate # 1544001371.746 * [enter]simplify: Simplifying (+ (/ -1/8 x) (+ x -1/2)) 1544001371.746 * * [misc]simplify: iters left: 4 (6 enodes) 1544001371.749 * * [misc]simplify: iters left: 3 (10 enodes) 1544001371.752 * * [misc]simplify: iters left: 2 (16 enodes) 1544001371.756 * * [misc]simplify: iters left: 1 (17 enodes) 1544001371.759 * [exit]simplify: Simplified to (+ (/ -1/8 x) (+ x -1/2)) 1544001371.759 * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (+ (/ -1/8 x) (+ x -1/2)))) 1544001371.760 * * * * [misc]progress: [ 14 / 18 ] simplifiying candidate # 1544001371.760 * * * * [misc]progress: [ 15 / 18 ] simplifiying candidate # 1544001371.760 * * * * [misc]progress: [ 16 / 18 ] simplifiying candidate # 1544001371.760 * [enter]simplify: Simplifying (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1544001371.760 * * [misc]simplify: iters left: 6 (8 enodes) 1544001371.763 * * [misc]simplify: iters left: 5 (18 enodes) 1544001371.769 * * [misc]simplify: iters left: 4 (29 enodes) 1544001371.779 * * [misc]simplify: iters left: 3 (55 enodes) 1544001371.797 * * [misc]simplify: iters left: 2 (77 enodes) 1544001371.815 * * [misc]simplify: iters left: 1 (98 enodes) 1544001371.850 * [exit]simplify: Simplified to (+ (/ -1/8 x) (+ x -1/2)) 1544001371.850 * [misc]simplify: Simplified (2) to (λ (x) (+ (/ -1/8 x) (+ x -1/2))) 1544001371.850 * * * * [misc]progress: [ 17 / 18 ] simplifiying candidate # 1544001371.850 * [enter]simplify: Simplifying (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1544001371.850 * * [misc]simplify: iters left: 6 (8 enodes) 1544001371.854 * * [misc]simplify: iters left: 5 (18 enodes) 1544001371.860 * * [misc]simplify: iters left: 4 (29 enodes) 1544001371.867 * * [misc]simplify: iters left: 3 (55 enodes) 1544001371.876 * * [misc]simplify: iters left: 2 (77 enodes) 1544001371.885 * * [misc]simplify: iters left: 1 (98 enodes) 1544001371.901 * [exit]simplify: Simplified to (+ (/ -1/8 x) (+ x -1/2)) 1544001371.901 * [misc]simplify: Simplified (2) to (λ (x) (+ (/ -1/8 x) (+ x -1/2))) 1544001371.901 * * * * [misc]progress: [ 18 / 18 ] simplifiying candidate # 1544001371.901 * [enter]simplify: Simplifying (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1544001371.902 * * [misc]simplify: iters left: 6 (8 enodes) 1544001371.903 * * [misc]simplify: iters left: 5 (18 enodes) 1544001371.907 * * [misc]simplify: iters left: 4 (29 enodes) 1544001371.912 * * [misc]simplify: iters left: 3 (55 enodes) 1544001371.921 * * [misc]simplify: iters left: 2 (77 enodes) 1544001371.931 * * [misc]simplify: iters left: 1 (98 enodes) 1544001371.954 * [exit]simplify: Simplified to (+ (/ -1/8 x) (+ x -1/2)) 1544001371.954 * [misc]simplify: Simplified (2) to (λ (x) (+ (/ -1/8 x) (+ x -1/2))) 1544001371.954 * * * [misc]progress: adding candidates to table 1544001372.072 * * [misc]progress: iteration 4 / 4 1544001372.072 * * * [misc]progress: picking best candidate 1544001372.075 * * * * [misc]pick: Picked # 1544001372.075 * * * [misc]progress: localizing error 1544001372.085 * * * [misc]progress: generating rewritten candidates 1544001372.085 * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) 1544001372.088 * * * [misc]progress: generating series expansions 1544001372.088 * * * * [misc]progress: [ 1 / 1 ] generating series at (2) 1544001372.088 * [misc]backup-simplify: Simplify (sqrt (* x (+ x -1))) into (sqrt (* x (- x 1))) 1544001372.088 * [misc]approximate: Taking taylor expansion of (sqrt (* x (- x 1))) in (x) around 0 1544001372.088 * [misc]taylor: Taking taylor expansion of (sqrt (* x (- x 1))) in x 1544001372.088 * [misc]taylor: Taking taylor expansion of (* x (- x 1)) in x 1544001372.088 * [misc]taylor: Taking taylor expansion of x in x 1544001372.088 * [misc]backup-simplify: Simplify 0 into 0 1544001372.088 * [misc]backup-simplify: Simplify 1 into 1 1544001372.088 * [misc]taylor: Taking taylor expansion of (- x 1) in x 1544001372.088 * [misc]taylor: Taking taylor expansion of x in x 1544001372.088 * [misc]backup-simplify: Simplify 0 into 0 1544001372.088 * [misc]backup-simplify: Simplify 1 into 1 1544001372.088 * [misc]taylor: Taking taylor expansion of 1 in x 1544001372.088 * [misc]backup-simplify: Simplify 1 into 1 1544001372.089 * [misc]backup-simplify: Simplify (- 1) into -1 1544001372.089 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544001372.089 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1544001372.089 * [misc]backup-simplify: Simplify (- 0) into 0 1544001372.089 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544001372.090 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1544001372.090 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544001372.090 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544001372.090 * [misc]taylor: Taking taylor expansion of (sqrt (* x (- x 1))) in x 1544001372.091 * [misc]taylor: Taking taylor expansion of (* x (- x 1)) in x 1544001372.091 * [misc]taylor: Taking taylor expansion of x in x 1544001372.091 * [misc]backup-simplify: Simplify 0 into 0 1544001372.091 * [misc]backup-simplify: Simplify 1 into 1 1544001372.091 * [misc]taylor: Taking taylor expansion of (- x 1) in x 1544001372.091 * [misc]taylor: Taking taylor expansion of x in x 1544001372.091 * [misc]backup-simplify: Simplify 0 into 0 1544001372.091 * [misc]backup-simplify: Simplify 1 into 1 1544001372.091 * [misc]taylor: Taking taylor expansion of 1 in x 1544001372.091 * [misc]backup-simplify: Simplify 1 into 1 1544001372.091 * [misc]backup-simplify: Simplify (- 1) into -1 1544001372.091 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544001372.091 * [misc]backup-simplify: Simplify (* 0 -1) into 0 1544001372.091 * [misc]backup-simplify: Simplify (- 0) into 0 1544001372.092 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544001372.092 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 -1)) into -1 1544001372.092 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544001372.092 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544001372.093 * [misc]backup-simplify: Simplify 0 into 0 1544001372.093 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544001372.093 * [misc]backup-simplify: Simplify (- 0) into 0 1544001372.093 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544001372.093 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 1544001372.094 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544001372.094 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544001372.095 * [misc]backup-simplify: Simplify (- 0) into 0 1544001372.095 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544001372.095 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 1544001372.096 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544001372.096 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544001372.097 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow x 3)) (+ (* +nan.0 (pow x 2)) (* +nan.0 x))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) 1544001372.097 * [misc]backup-simplify: Simplify (sqrt (* (/ 1 x) (+ (/ 1 x) -1))) into (sqrt (/ (- (/ 1 x) 1) x)) 1544001372.097 * [misc]approximate: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in (x) around 0 1544001372.097 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 1544001372.097 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 1544001372.097 * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x 1544001372.097 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x 1544001372.097 * [misc]taylor: Taking taylor expansion of x in x 1544001372.097 * [misc]backup-simplify: Simplify 0 into 0 1544001372.097 * [misc]backup-simplify: Simplify 1 into 1 1544001372.097 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544001372.097 * [misc]taylor: Taking taylor expansion of 1 in x 1544001372.097 * [misc]backup-simplify: Simplify 1 into 1 1544001372.097 * [misc]taylor: Taking taylor expansion of x in x 1544001372.097 * [misc]backup-simplify: Simplify 0 into 0 1544001372.097 * [misc]backup-simplify: Simplify 1 into 1 1544001372.098 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544001372.098 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544001372.098 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1544001372.098 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544001372.098 * [misc]backup-simplify: Simplify (- 1) into -1 1544001372.098 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544001372.099 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 1544001372.099 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1544001372.099 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1) x)) in x 1544001372.099 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 x) 1) x) in x 1544001372.099 * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x 1544001372.099 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x 1544001372.099 * [misc]taylor: Taking taylor expansion of x in x 1544001372.099 * [misc]backup-simplify: Simplify 0 into 0 1544001372.099 * [misc]backup-simplify: Simplify 1 into 1 1544001372.099 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544001372.099 * [misc]taylor: Taking taylor expansion of 1 in x 1544001372.099 * [misc]backup-simplify: Simplify 1 into 1 1544001372.099 * [misc]taylor: Taking taylor expansion of x in x 1544001372.099 * [misc]backup-simplify: Simplify 0 into 0 1544001372.099 * [misc]backup-simplify: Simplify 1 into 1 1544001372.099 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544001372.100 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544001372.100 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1544001372.100 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544001372.100 * [misc]backup-simplify: Simplify (- 1) into -1 1544001372.100 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544001372.101 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 1544001372.101 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 1544001372.101 * [misc]backup-simplify: Simplify 1 into 1 1544001372.101 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544001372.101 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544001372.101 * [misc]backup-simplify: Simplify (- 0) into 0 1544001372.102 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544001372.102 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)))) into 0 1544001372.103 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 1544001372.103 * [misc]backup-simplify: Simplify -1/8 into -1/8 1544001372.103 * [misc]backup-simplify: Simplify (+ (* -1/8 (/ 1 x)) (+ -1/2 (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1544001372.104 * [misc]backup-simplify: Simplify (sqrt (* (/ 1 (- x)) (+ (/ 1 (- x)) -1))) into (sqrt (/ (+ (/ 1 x) 1) x)) 1544001372.104 * [misc]approximate: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) x)) in (x) around 0 1544001372.104 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) x)) in x 1544001372.104 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x 1544001372.104 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x 1544001372.104 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x 1544001372.104 * [misc]taylor: Taking taylor expansion of x in x 1544001372.104 * [misc]backup-simplify: Simplify 0 into 0 1544001372.104 * [misc]backup-simplify: Simplify 1 into 1 1544001372.104 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544001372.104 * [misc]taylor: Taking taylor expansion of 1 in x 1544001372.104 * [misc]backup-simplify: Simplify 1 into 1 1544001372.104 * [misc]taylor: Taking taylor expansion of x in x 1544001372.104 * [misc]backup-simplify: Simplify 0 into 0 1544001372.104 * [misc]backup-simplify: Simplify 1 into 1 1544001372.104 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544001372.104 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544001372.105 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1544001372.105 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544001372.105 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1544001372.105 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1544001372.105 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1544001372.105 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) x)) in x 1544001372.106 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x 1544001372.106 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x 1544001372.106 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x 1544001372.106 * [misc]taylor: Taking taylor expansion of x in x 1544001372.106 * [misc]backup-simplify: Simplify 0 into 0 1544001372.106 * [misc]backup-simplify: Simplify 1 into 1 1544001372.106 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544001372.106 * [misc]taylor: Taking taylor expansion of 1 in x 1544001372.106 * [misc]backup-simplify: Simplify 1 into 1 1544001372.106 * [misc]taylor: Taking taylor expansion of x in x 1544001372.106 * [misc]backup-simplify: Simplify 0 into 0 1544001372.106 * [misc]backup-simplify: Simplify 1 into 1 1544001372.106 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544001372.106 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544001372.106 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1544001372.107 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544001372.107 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1544001372.107 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1544001372.107 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 1544001372.107 * [misc]backup-simplify: Simplify 1 into 1 1544001372.108 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544001372.108 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544001372.108 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544001372.108 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1544001372.110 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 1544001372.110 * [misc]backup-simplify: Simplify -1/8 into -1/8 1544001372.110 * [misc]backup-simplify: Simplify (+ (* -1/8 (/ 1 (- x))) (+ 1/2 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 1/8 (/ 1 x)) 1/2) x) 1544001372.110 * * * [misc]progress: simplifying candidates 1544001372.110 * * * * [misc]progress: [ 1 / 14 ] simplifiying candidate # 1544001372.110 * * * * [misc]progress: [ 2 / 14 ] simplifiying candidate # 1544001372.110 * * * * [misc]progress: [ 3 / 14 ] simplifiying candidate # 1544001372.110 * * * * [misc]progress: [ 4 / 14 ] simplifiying candidate # 1544001372.110 * * * * [misc]progress: [ 5 / 14 ] simplifiying candidate # 1544001372.110 * * * * [misc]progress: [ 6 / 14 ] simplifiying candidate # 1544001372.111 * * * * [misc]progress: [ 7 / 14 ] simplifiying candidate # 1544001372.111 * [enter]simplify: Simplifying (sqrt x) 1544001372.111 * * [misc]simplify: iters left: 1 (2 enodes) 1544001372.111 * [exit]simplify: Simplified to (sqrt x) 1544001372.111 * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt x) (sqrt (+ x -1)))) 1544001372.112 * * * * [misc]progress: [ 8 / 14 ] simplifiying candidate # 1544001372.112 * [enter]simplify: Simplifying (sqrt (* x (+ (pow x 3) (pow -1 3)))) 1544001372.112 * * [misc]simplify: iters left: 6 (8 enodes) 1544001372.116 * * [misc]simplify: iters left: 5 (23 enodes) 1544001372.126 * * [misc]simplify: iters left: 4 (46 enodes) 1544001372.138 * * [misc]simplify: iters left: 3 (60 enodes) 1544001372.150 * * [misc]simplify: iters left: 2 (70 enodes) 1544001372.161 * * [misc]simplify: iters left: 1 (78 enodes) 1544001372.171 * [exit]simplify: Simplified to (sqrt (- (pow x 4) x)) 1544001372.171 * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (- (pow x 4) x)) (sqrt (+ (* x x) (- (* -1 -1) (* x -1)))))) 1544001372.171 * * * * [misc]progress: [ 9 / 14 ] simplifiying candidate # 1544001372.171 * [enter]simplify: Simplifying (sqrt (* x (- (* x x) (* -1 -1)))) 1544001372.172 * * [misc]simplify: iters left: 6 (7 enodes) 1544001372.174 * * [misc]simplify: iters left: 5 (15 enodes) 1544001372.176 * * [misc]simplify: iters left: 4 (26 enodes) 1544001372.179 * * [misc]simplify: iters left: 3 (58 enodes) 1544001372.197 * * [misc]simplify: iters left: 2 (141 enodes) 1544001372.247 * * [misc]simplify: iters left: 1 (242 enodes) 1544001372.345 * [exit]simplify: Simplified to (sqrt (- (pow x 3) x)) 1544001372.345 * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (- (pow x 3) x)) (sqrt (- x -1)))) 1544001372.345 * * * * [misc]progress: [ 10 / 14 ] simplifiying candidate # 1544001372.345 * * * * [misc]progress: [ 11 / 14 ] simplifiying candidate # 1544001372.345 * * * * [misc]progress: [ 12 / 14 ] simplifiying candidate # 1544001372.345 * [enter]simplify: Simplifying (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) 1544001372.345 * [misc]simplify: Simplified (2) to (λ (x) +nan.0) 1544001372.345 * * * * [misc]progress: [ 13 / 14 ] simplifiying candidate # 1544001372.345 * [enter]simplify: Simplifying (- x (+ (* 1/8 (/ 1 x)) 1/2)) 1544001372.345 * * [misc]simplify: iters left: 6 (8 enodes) 1544001372.347 * * [misc]simplify: iters left: 5 (18 enodes) 1544001372.351 * * [misc]simplify: iters left: 4 (29 enodes) 1544001372.356 * * [misc]simplify: iters left: 3 (55 enodes) 1544001372.364 * * [misc]simplify: iters left: 2 (77 enodes) 1544001372.379 * * [misc]simplify: iters left: 1 (98 enodes) 1544001372.414 * [exit]simplify: Simplified to (+ (/ -1/8 x) (+ x -1/2)) 1544001372.414 * [misc]simplify: Simplified (2) to (λ (x) (+ (/ -1/8 x) (+ x -1/2))) 1544001372.414 * * * * [misc]progress: [ 14 / 14 ] simplifiying candidate # 1544001372.414 * [enter]simplify: Simplifying (- (+ (* 1/8 (/ 1 x)) 1/2) x) 1544001372.414 * * [misc]simplify: iters left: 6 (8 enodes) 1544001372.418 * * [misc]simplify: iters left: 5 (18 enodes) 1544001372.423 * * [misc]simplify: iters left: 4 (28 enodes) 1544001372.432 * * [misc]simplify: iters left: 3 (39 enodes) 1544001372.441 * * [misc]simplify: iters left: 2 (45 enodes) 1544001372.451 * * [misc]simplify: iters left: 1 (61 enodes) 1544001372.464 * [exit]simplify: Simplified to (- (- 1/2 x) (/ -1/8 x)) 1544001372.464 * [misc]simplify: Simplified (2) to (λ (x) (- (- 1/2 x) (/ -1/8 x))) 1544001372.464 * * * [misc]progress: adding candidates to table 1544001372.555 * [misc]progress: [Phase 3 of 3] Extracting. 1544001372.555 * * [misc]regime: Finding splitpoints for: (# # #) 1544001372.557 * * * [misc]regime-changes: Trying 1 branch expressions: (x) 1544001372.558 * * * * [misc]regimes: Trying to branch on x from (# # #) 1544001372.583 * * * [misc]regime: Found split indices: #